TSTP Solution File: GEO586+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : GEO586+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n029.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 28.26s 4.73s
% Output : CNFRefutation 28.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 38
% Syntax : Number of formulae : 506 ( 101 unt; 0 def)
% Number of atoms : 1207 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 1267 ( 566 ~; 557 |; 86 &)
% ( 0 <=>; 58 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-5 aty)
% Number of variables : 1060 ( 1 sgn; 687 !; 33 ?)
% 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(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(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(f19,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD24) ).
fof(f25,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( cong(X2,X3,X4,X5)
& cong(X0,X1,X2,X3) )
=> cong(X0,X1,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD25) ).
fof(f39,axiom,
! [X0,X1,X2,X3,X8,X9] :
( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
fof(f40,axiom,
! [X0,X1,X2,X3,X8,X9] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
fof(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(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD44) ).
fof(f46,axiom,
! [X0,X1,X2,X4,X5] :
( ( coll(X5,X0,X2)
& para(X4,X5,X1,X2)
& midp(X4,X0,X1) )
=> midp(X5,X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD45) ).
fof(f51,axiom,
! [X0,X1,X2,X7,X6] :
( ( midp(X6,X1,X2)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X7,X1,X7,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD50) ).
fof(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(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X3,X4,X18,X19] :
( ( circle(X18,X0,X1,X4)
& coll(X4,X1,X3)
& coll(X4,X0,X2)
& circle(X7,X0,X3,X19)
& circle(X7,X0,X1,X2) )
=> perp(X18,X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL416048) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X3,X4,X18,X19] :
( ( circle(X18,X0,X1,X4)
& coll(X4,X1,X3)
& coll(X4,X0,X2)
& circle(X7,X0,X3,X19)
& circle(X7,X0,X1,X2) )
=> perp(X18,X4,X2,X3) ),
inference(negated_conjecture,[],[f95]) ).
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(f101,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(rectify,[],[f19]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(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(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f130,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X1,X2)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
inference(rectify,[],[f51]) ).
fof(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(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> perp(X6,X5,X2,X4) ),
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(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(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(f193,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f101]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f200,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f201,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(flattening,[],[f200]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(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(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f229]) ).
fof(f238,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f130]) ).
fof(f239,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f238]) ).
fof(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(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X5,X2,X4)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& 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] :
( ~ perp(X6,X5,X2,X4)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& 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(f350,plain,
! [X0,X1,X2,X3,X4] :
( ? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) )
=> ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
& coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).
fof(f358,plain,
( ? [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ perp(X6,X5,X2,X4)
& circle(X6,X0,X1,X5)
& coll(X5,X1,X4)
& coll(X5,X0,X2)
& circle(X3,X0,X4,X7)
& circle(X3,X0,X1,X2) )
=> ( ~ perp(sK26,sK25,sK22,sK24)
& circle(sK26,sK20,sK21,sK25)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK22)
& circle(sK23,sK20,sK24,sK27)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ perp(sK26,sK25,sK22,sK24)
& circle(sK26,sK20,sK21,sK25)
& coll(sK25,sK21,sK24)
& coll(sK25,sK20,sK22)
& 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(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(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(f378,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f193]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f384,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X4,X5)
| ~ cong(X2,X3,X4,X5)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(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(f404,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f410,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
| ~ midp(X4,X1,X2)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f239]) ).
fof(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(f467,plain,
! [X2,X3,X0,X1,X4] :
( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(cnf_transformation,[],[f351]) ).
fof(f473,plain,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f474,plain,
circle(sK23,sK20,sK24,sK27),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
coll(sK25,sK21,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
circle(sK26,sK20,sK21,sK25),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
~ perp(sK26,sK25,sK22,sK24),
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_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_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_67,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
inference(cnf_transformation,[],[f378]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_73,plain,
( ~ cong(X0,X1,X2,X3)
| ~ cong(X2,X3,X4,X5)
| cong(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f384]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_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_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_99,plain,
( ~ circle(X0,X1,X2,X3)
| ~ midp(X4,X2,X3)
| eqangle(X1,X2,X1,X3,X0,X2,X0,X4) ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_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_155,plain,
( ~ perp(X0,X1,X1,X2)
| ~ coll(X2,X3,X4)
| perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
inference(cnf_transformation,[],[f467]) ).
cnf(c_162,negated_conjecture,
~ perp(sK26,sK25,sK22,sK24),
inference(cnf_transformation,[],[f478]) ).
cnf(c_163,negated_conjecture,
circle(sK26,sK20,sK21,sK25),
inference(cnf_transformation,[],[f477]) ).
cnf(c_164,negated_conjecture,
coll(sK25,sK21,sK24),
inference(cnf_transformation,[],[f476]) ).
cnf(c_165,negated_conjecture,
coll(sK25,sK20,sK22),
inference(cnf_transformation,[],[f475]) ).
cnf(c_166,negated_conjecture,
circle(sK23,sK20,sK24,sK27),
inference(cnf_transformation,[],[f474]) ).
cnf(c_167,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_173,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_177,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88]) ).
cnf(c_182,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_231,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_357,plain,
( ~ coll(sK25,sK20,sK22)
| coll(sK25,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_359,plain,
( ~ coll(sK25,sK20,sK22)
| coll(sK20,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_368,plain,
( ~ circle(sK26,sK20,sK21,sK25)
| perp(sK11(sK20,sK21,sK25,sK26),sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_369,plain,
( ~ circle(sK23,sK20,sK24,sK27)
| perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_148]) ).
cnf(c_389,plain,
( ~ coll(sK25,sK22,sK20)
| coll(sK22,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_406,plain,
( ~ coll(sK20,sK25,sK22)
| coll(sK20,sK22,sK25) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_414,plain,
( ~ perp(sK11(sK20,sK21,sK25,sK26),sK20,sK20,sK26)
| perp(sK11(sK20,sK21,sK25,sK26),sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_420,plain,
( ~ perp(sK11(sK20,sK21,sK25,sK26),sK20,sK20,sK26)
| ~ coll(sK26,X0,X1)
| perp(sK16(sK11(sK20,sK21,sK25,sK26),sK26,sK20,X0,X1),sK11(sK20,sK21,sK25,sK26),X0,X1) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_423,plain,
( ~ perp(sK11(sK20,sK21,sK25,sK26),sK20,sK20,sK26)
| ~ coll(sK26,sK20,sK20)
| perp(sK16(sK11(sK20,sK21,sK25,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK21,sK25,sK26),sK20,sK20) ),
inference(instantiation,[status(thm)],[c_420]) ).
cnf(c_439,plain,
coll(sK25,sK24,sK21),
inference(superposition,[status(thm)],[c_164,c_49]) ).
cnf(c_440,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_442,plain,
coll(sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_164,c_50]) ).
cnf(c_443,plain,
coll(sK20,sK25,sK22),
inference(superposition,[status(thm)],[c_165,c_50]) ).
cnf(c_446,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23)
| perp(sK11(sK20,sK24,sK27,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_471,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_440,c_50]) ).
cnf(c_474,plain,
coll(sK21,sK24,sK25),
inference(superposition,[status(thm)],[c_442,c_49]) ).
cnf(c_480,plain,
coll(sK22,sK20,sK25),
inference(superposition,[status(thm)],[c_471,c_49]) ).
cnf(c_489,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_491,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
cnf(c_492,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_489,c_72]) ).
cnf(c_496,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_492,c_71]) ).
cnf(c_525,plain,
( ~ midp(X0,X1,X2)
| cong(X1,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_496,c_72]) ).
cnf(c_531,plain,
( ~ coll(sK25,sK21,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_164,c_51]) ).
cnf(c_532,plain,
( ~ coll(sK25,sK20,X0)
| coll(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_165,c_51]) ).
cnf(c_533,plain,
( ~ coll(sK25,sK24,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_439,c_51]) ).
cnf(c_534,plain,
( ~ coll(sK25,sK22,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_440,c_51]) ).
cnf(c_536,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_443,c_51]) ).
cnf(c_539,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_471,c_51]) ).
cnf(c_540,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK25,X0,sK21) ),
inference(superposition,[status(thm)],[c_474,c_51]) ).
cnf(c_542,plain,
( ~ coll(sK22,sK20,X0)
| coll(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_480,c_51]) ).
cnf(c_545,plain,
( ~ coll(sK22,sK25,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_539]) ).
cnf(c_550,plain,
( ~ coll(sK25,sK24,sK20)
| coll(sK21,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_533]) ).
cnf(c_552,plain,
( ~ coll(X0,sK24,sK25)
| coll(sK24,X0,sK25) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_562,plain,
coll(sK24,sK24,sK25),
inference(superposition,[status(thm)],[c_164,c_531]) ).
cnf(c_563,plain,
( ~ coll(sK24,sK24,X0)
| coll(sK25,X0,sK24) ),
inference(superposition,[status(thm)],[c_562,c_51]) ).
cnf(c_570,plain,
( ~ coll(X0,sK22,X1)
| ~ coll(X0,sK22,sK25)
| coll(X1,sK25,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_617,plain,
coll(sK22,sK22,sK25),
inference(superposition,[status(thm)],[c_165,c_532]) ).
cnf(c_618,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_617,c_51]) ).
cnf(c_620,plain,
coll(sK22,sK25,sK22),
inference(superposition,[status(thm)],[c_617,c_49]) ).
cnf(c_621,plain,
( ~ coll(sK22,sK25,X0)
| coll(sK22,X0,sK22) ),
inference(superposition,[status(thm)],[c_620,c_51]) ).
cnf(c_625,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_439,c_533]) ).
cnf(c_629,plain,
coll(sK21,sK25,sK21),
inference(superposition,[status(thm)],[c_625,c_49]) ).
cnf(c_631,plain,
coll(sK20,sK20,sK25),
inference(superposition,[status(thm)],[c_440,c_534]) ).
cnf(c_634,plain,
coll(sK20,sK25,sK20),
inference(superposition,[status(thm)],[c_631,c_49]) ).
cnf(c_675,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_629,c_51]) ).
cnf(c_676,plain,
coll(sK25,sK21,sK21),
inference(superposition,[status(thm)],[c_629,c_50]) ).
cnf(c_679,plain,
( ~ coll(sK21,sK25,sK20)
| coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_675]) ).
cnf(c_680,plain,
( ~ coll(sK20,sK25,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_634,c_51]) ).
cnf(c_683,plain,
( ~ coll(sK20,sK25,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_680]) ).
cnf(c_689,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_634,c_536]) ).
cnf(c_694,plain,
coll(sK25,sK25,sK24),
inference(superposition,[status(thm)],[c_562,c_563]) ).
cnf(c_709,plain,
( ~ coll(sK25,sK25,X0)
| coll(sK24,X0,sK25) ),
inference(superposition,[status(thm)],[c_694,c_51]) ).
cnf(c_711,plain,
coll(sK25,sK24,sK25),
inference(superposition,[status(thm)],[c_694,c_49]) ).
cnf(c_713,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_617,c_618]) ).
cnf(c_717,plain,
coll(sK25,sK22,sK25),
inference(superposition,[status(thm)],[c_713,c_49]) ).
cnf(c_756,plain,
( ~ coll(sK25,sK21,X0)
| coll(sK21,X0,sK25) ),
inference(superposition,[status(thm)],[c_676,c_51]) ).
cnf(c_766,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_689,c_50]) ).
cnf(c_769,plain,
( ~ circle(sK26,sK20,sK21,sK25)
| ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK21,sK25) ),
inference(instantiation,[status(thm)],[c_102]) ).
cnf(c_802,plain,
coll(sK24,sK25,sK25),
inference(superposition,[status(thm)],[c_711,c_50]) ).
cnf(c_804,plain,
coll(sK21,sK25,sK25),
inference(superposition,[status(thm)],[c_711,c_533]) ).
cnf(c_806,plain,
( ~ coll(sK25,sK22,X0)
| coll(sK25,X0,sK25) ),
inference(superposition,[status(thm)],[c_717,c_51]) ).
cnf(c_807,plain,
coll(sK22,sK25,sK25),
inference(superposition,[status(thm)],[c_717,c_50]) ).
cnf(c_809,plain,
coll(sK20,sK25,sK25),
inference(superposition,[status(thm)],[c_717,c_534]) ).
cnf(c_810,plain,
( ~ coll(sK25,sK22,sK20)
| coll(sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_806]) ).
cnf(c_811,plain,
( ~ coll(sK21,sK25,X0)
| coll(sK25,X0,sK21) ),
inference(superposition,[status(thm)],[c_804,c_51]) ).
cnf(c_812,plain,
coll(sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_804,c_50]) ).
cnf(c_815,plain,
( ~ coll(sK21,sK25,sK20)
| coll(sK25,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_811]) ).
cnf(c_817,plain,
coll(sK25,sK20,sK25),
inference(superposition,[status(thm)],[c_809,c_50]) ).
cnf(c_839,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X0,X2,X1)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_491,c_116]) ).
cnf(c_845,plain,
( ~ coll(X0,X1,X1)
| ~ midp(X1,X0,X0)
| midp(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_525,c_116]) ).
cnf(c_848,plain,
( ~ coll(sK23,sK22,sK20)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_875,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
cnf(c_877,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_167,c_102]) ).
cnf(c_888,plain,
coll(sK20,sK20,sK22),
inference(superposition,[status(thm)],[c_766,c_49]) ).
cnf(c_895,plain,
( ~ perp(sK11(sK20,sK21,sK25,sK26),sK20,sK26,sK20)
| perp(sK26,sK20,sK11(sK20,sK21,sK25,sK26),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_898,plain,
( ~ perp(X0,X1,sK11(sK20,sK21,sK25,sK26),sK20)
| ~ perp(sK11(sK20,sK21,sK25,sK26),sK20,sK26,sK20)
| para(X0,X1,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_911,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK21,sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_875,c_56]) ).
cnf(c_912,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK25,sK21) ),
inference(superposition,[status(thm)],[c_875,c_55]) ).
cnf(c_919,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_877,c_56]) ).
cnf(c_920,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_877,c_55]) ).
cnf(c_921,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_877,c_101]) ).
cnf(c_942,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK21,sK25,sK21,sK20) ),
inference(superposition,[status(thm)],[c_911,c_55]) ).
cnf(c_943,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK25,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_912,c_56]) ).
cnf(c_950,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_951,plain,
coll(sK21,sK25,sK24),
inference(superposition,[status(thm)],[c_164,c_50]) ).
cnf(c_955,plain,
coll(sK25,sK22,sK25),
inference(superposition,[status(thm)],[c_807,c_50]) ).
cnf(c_958,plain,
coll(sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_812,c_49]) ).
cnf(c_960,plain,
coll(sK25,sK25,sK20),
inference(superposition,[status(thm)],[c_817,c_49]) ).
cnf(c_963,plain,
coll(sK22,sK25,sK20),
inference(superposition,[status(thm)],[c_950,c_50]) ).
cnf(c_972,plain,
coll(sK22,sK20,sK25),
inference(superposition,[status(thm)],[c_963,c_49]) ).
cnf(c_978,plain,
coll(sK20,sK22,sK20),
inference(superposition,[status(thm)],[c_888,c_49]) ).
cnf(c_992,plain,
coll(sK22,sK20,sK22),
inference(superposition,[status(thm)],[c_963,c_621]) ).
cnf(c_995,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_920,c_55]) ).
cnf(c_998,plain,
coll(sK25,sK25,sK22),
inference(superposition,[status(thm)],[c_972,c_542]) ).
cnf(c_1003,plain,
coll(sK25,sK22,sK22),
inference(superposition,[status(thm)],[c_992,c_542]) ).
cnf(c_1005,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK21,sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_942,c_55]) ).
cnf(c_1011,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| cong(sK20,X0,X0,sK21) ),
inference(superposition,[status(thm)],[c_921,c_71]) ).
cnf(c_1025,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_951,c_675]) ).
cnf(c_1031,plain,
coll(sK25,sK21,sK21),
inference(superposition,[status(thm)],[c_1025,c_540]) ).
cnf(c_1067,plain,
( ~ coll(sK24,sK25,X0)
| coll(sK25,X0,sK24) ),
inference(superposition,[status(thm)],[c_802,c_51]) ).
cnf(c_1072,plain,
( ~ coll(sK24,sK25,sK20)
| coll(sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_1067]) ).
cnf(c_1073,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK23,sK20)
| perp(sK23,sK20,sK11(sK20,sK24,sK27,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_1076,plain,
( ~ perp(X0,X1,sK11(sK20,sK24,sK27,sK23),sK20)
| ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK23,sK20)
| para(X0,X1,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_1093,plain,
coll(sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_1031,c_756]) ).
cnf(c_1157,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| cong(X0,sK21,sK20,X0) ),
inference(superposition,[status(thm)],[c_1011,c_72]) ).
cnf(c_1243,plain,
( ~ coll(sK24,sK25,X0)
| coll(sK25,sK24,X0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_1244,plain,
( ~ coll(sK24,sK25,sK20)
| coll(sK25,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_1243]) ).
cnf(c_1284,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
cnf(c_1292,plain,
( ~ coll(sK26,sK20,sK25)
| ~ midp(sK21,sK20,sK21)
| cong(sK25,sK20,sK25,sK21) ),
inference(superposition,[status(thm)],[c_943,c_104]) ).
cnf(c_1315,plain,
( ~ coll(sK21,X0,sK25)
| coll(sK21,sK25,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1316,plain,
( ~ coll(sK21,sK20,sK25)
| coll(sK21,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_1315]) ).
cnf(c_1326,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_919,c_57]) ).
cnf(c_1348,plain,
( ~ coll(sK25,X0,X1)
| ~ coll(sK25,X0,sK24)
| coll(X1,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1376,plain,
( ~ midp(sK25,sK22,sK20)
| midp(sK25,sK20,sK22) ),
inference(superposition,[status(thm)],[c_165,c_839]) ).
cnf(c_1390,plain,
( ~ midp(sK20,sK22,sK20)
| midp(sK20,sK20,sK22) ),
inference(superposition,[status(thm)],[c_888,c_839]) ).
cnf(c_1404,plain,
( ~ midp(sK25,sK22,sK25)
| midp(sK25,sK25,sK22) ),
inference(superposition,[status(thm)],[c_998,c_839]) ).
cnf(c_1411,plain,
( ~ midp(sK25,sK25,sK21)
| midp(sK25,sK21,sK25) ),
inference(superposition,[status(thm)],[c_812,c_839]) ).
cnf(c_1474,plain,
coll(sK25,sK24,sK21),
inference(resolution,[status(thm)],[c_49,c_164]) ).
cnf(c_1475,plain,
coll(sK25,sK22,sK20),
inference(resolution,[status(thm)],[c_49,c_165]) ).
cnf(c_1497,plain,
coll(sK24,sK25,sK21),
inference(resolution,[status(thm)],[c_50,c_1474]) ).
cnf(c_1532,plain,
( ~ coll(sK26,X0,X1)
| coll(sK26,X1,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_1535,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK26)
| coll(sK26,X2,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1546,plain,
( ~ coll(X0,sK22,sK26)
| ~ coll(X0,sK22,sK25)
| coll(sK26,sK25,X0) ),
inference(instantiation,[status(thm)],[c_570]) ).
cnf(c_1550,plain,
( ~ coll(sK20,sK22,sK26)
| ~ coll(sK20,sK22,sK25)
| coll(sK26,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_1546]) ).
cnf(c_1561,plain,
( ~ perp(sK21,sK25,X0,X1)
| ~ coll(sK26,sK20,sK25)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_1284,c_57]) ).
cnf(c_1625,plain,
( ~ coll(sK25,sK21,X0)
| coll(X0,sK24,sK25) ),
inference(resolution,[status(thm)],[c_51,c_164]) ).
cnf(c_1626,plain,
( ~ coll(sK25,sK20,X0)
| coll(X0,sK22,sK25) ),
inference(resolution,[status(thm)],[c_51,c_165]) ).
cnf(c_1627,plain,
( ~ coll(sK25,sK24,X0)
| coll(X0,sK21,sK25) ),
inference(resolution,[status(thm)],[c_51,c_1474]) ).
cnf(c_1629,plain,
( ~ coll(sK25,sK22,X0)
| coll(X0,sK20,sK25) ),
inference(resolution,[status(thm)],[c_51,c_1475]) ).
cnf(c_1634,plain,
( ~ coll(sK24,sK25,X0)
| coll(X0,sK21,sK24) ),
inference(resolution,[status(thm)],[c_51,c_1497]) ).
cnf(c_1701,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK23)
| coll(sK23,X2,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_1720,plain,
( ~ midp(sK22,sK25,sK25)
| midp(sK25,sK22,sK22) ),
inference(superposition,[status(thm)],[c_1003,c_845]) ).
cnf(c_1753,plain,
coll(sK24,sK24,sK25),
inference(resolution,[status(thm)],[c_1625,c_164]) ).
cnf(c_1820,plain,
( ~ coll(sK24,sK24,X0)
| coll(X0,sK25,sK24) ),
inference(resolution,[status(thm)],[c_1753,c_51]) ).
cnf(c_1831,plain,
coll(sK22,sK22,sK25),
inference(resolution,[status(thm)],[c_1626,c_165]) ).
cnf(c_1849,plain,
( ~ coll(sK22,sK22,X0)
| coll(X0,sK25,sK22) ),
inference(resolution,[status(thm)],[c_1831,c_51]) ).
cnf(c_2158,plain,
( ~ coll(sK26,X0,sK25)
| ~ coll(sK26,X0,sK20)
| coll(sK25,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_2159,plain,
( ~ coll(sK26,sK20,sK25)
| ~ coll(sK26,sK20,sK20)
| coll(sK25,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_2158]) ).
cnf(c_2166,plain,
( ~ coll(sK26,sK20,sK25)
| para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_1005,c_1561]) ).
cnf(c_2188,plain,
coll(sK25,sK25,sK24),
inference(resolution,[status(thm)],[c_1820,c_1753]) ).
cnf(c_2220,plain,
coll(sK25,sK24,sK25),
inference(resolution,[status(thm)],[c_2188,c_49]) ).
cnf(c_2222,plain,
( ~ coll(sK25,sK25,X0)
| coll(X0,sK24,sK25) ),
inference(resolution,[status(thm)],[c_2188,c_51]) ).
cnf(c_2233,plain,
coll(sK25,sK25,sK22),
inference(resolution,[status(thm)],[c_1849,c_1831]) ).
cnf(c_2271,plain,
coll(sK25,sK22,sK25),
inference(resolution,[status(thm)],[c_2233,c_49]) ).
cnf(c_2273,plain,
( ~ coll(sK25,sK25,X0)
| coll(X0,sK22,sK25) ),
inference(resolution,[status(thm)],[c_2233,c_51]) ).
cnf(c_2279,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X4,X5,X0,X1,X4,X5,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_67]) ).
cnf(c_2355,plain,
coll(sK24,sK20,sK25),
inference(superposition,[status(thm)],[c_960,c_709]) ).
cnf(c_2356,plain,
( ~ midp(sK21,sK25,sK21)
| midp(sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_1093,c_839]) ).
cnf(c_2466,plain,
coll(sK25,sK21,sK25),
inference(resolution,[status(thm)],[c_2220,c_1627]) ).
cnf(c_2588,plain,
coll(sK25,sK20,sK25),
inference(resolution,[status(thm)],[c_2271,c_1629]) ).
cnf(c_2678,plain,
( ~ coll(sK26,sK20,sK25)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK21,sK25) ),
inference(superposition,[status(thm)],[c_1284,c_1326]) ).
cnf(c_2679,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_995,c_1326]) ).
cnf(c_2686,plain,
( ~ coll(sK26,sK20,sK25)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK25,sK21,sK22) ),
inference(superposition,[status(thm)],[c_2678,c_53]) ).
cnf(c_2688,plain,
( ~ coll(sK26,sK20,sK25)
| ~ coll(sK23,sK20,sK22)
| coll(sK21,sK22,sK25) ),
inference(superposition,[status(thm)],[c_2678,c_115]) ).
cnf(c_2693,plain,
coll(sK25,sK25,sK21),
inference(resolution,[status(thm)],[c_2466,c_49]) ).
cnf(c_2723,plain,
coll(sK25,sK25,sK20),
inference(resolution,[status(thm)],[c_2588,c_49]) ).
cnf(c_2919,plain,
coll(sK24,sK25,sK20),
inference(superposition,[status(thm)],[c_2355,c_49]) ).
cnf(c_3473,plain,
coll(sK21,sK22,sK25),
inference(resolution,[status(thm)],[c_2693,c_2273]) ).
cnf(c_3491,plain,
coll(sK20,sK24,sK25),
inference(resolution,[status(thm)],[c_2723,c_2222]) ).
cnf(c_3629,plain,
coll(sK20,sK25,sK24),
inference(resolution,[status(thm)],[c_3491,c_49]) ).
cnf(c_3630,plain,
coll(sK24,sK20,sK25),
inference(resolution,[status(thm)],[c_3491,c_50]) ).
cnf(c_3873,plain,
( ~ coll(sK24,X0,sK25)
| coll(sK24,sK25,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_4174,plain,
( ~ para(X0,X1,X0,X1)
| ~ coll(X0,X0,X2)
| cyclic(X1,X2,X0,X0) ),
inference(superposition,[status(thm)],[c_88,c_91]) ).
cnf(c_4178,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_4174]) ).
cnf(c_4240,plain,
( ~ coll(sK20,sK25,X0)
| coll(X0,sK24,sK20) ),
inference(resolution,[status(thm)],[c_3629,c_51]) ).
cnf(c_4241,plain,
( ~ coll(sK20,sK25,sK20)
| coll(sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_4240]) ).
cnf(c_4304,plain,
coll(sK24,sK25,sK20),
inference(resolution,[status(thm)],[c_3630,c_49]) ).
cnf(c_4581,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK26)
| coll(X2,sK26,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_4585,plain,
( ~ coll(sK26,sK24,sK25)
| coll(sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_552]) ).
cnf(c_4799,plain,
( ~ coll(sK26,X0,X1)
| ~ coll(sK26,X0,sK22)
| coll(X1,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_4800,plain,
( ~ coll(sK26,sK20,sK22)
| ~ coll(sK26,sK20,sK20)
| coll(sK20,sK22,sK26) ),
inference(instantiation,[status(thm)],[c_4799]) ).
cnf(c_5123,plain,
( ~ perp(sK11(sK20,sK21,sK25,sK26),sK20,sK26,sK20)
| ~ perp(sK26,sK20,sK11(sK20,sK21,sK25,sK26),sK20)
| para(sK26,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_898]) ).
cnf(c_5146,plain,
( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK23,sK20)
| ~ perp(sK23,sK20,sK11(sK20,sK24,sK27,sK23),sK20)
| para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_1076]) ).
cnf(c_5291,plain,
coll(sK20,sK21,sK24),
inference(resolution,[status(thm)],[c_4304,c_1634]) ).
cnf(c_5323,plain,
coll(sK20,sK24,sK21),
inference(resolution,[status(thm)],[c_5291,c_49]) ).
cnf(c_5489,plain,
( ~ coll(sK20,sK24,X0)
| coll(X0,sK21,sK20) ),
inference(resolution,[status(thm)],[c_5323,c_51]) ).
cnf(c_5490,plain,
( ~ coll(sK20,sK24,sK20)
| coll(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_5489]) ).
cnf(c_5574,plain,
( ~ coll(sK26,X0,X1)
| ~ coll(sK26,X0,X2)
| coll(X1,X2,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_5575,plain,
( ~ coll(sK26,sK20,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_5574]) ).
cnf(c_5665,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,X2)
| coll(X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_5666,plain,
( ~ coll(sK23,sK20,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_5665]) ).
cnf(c_7546,plain,
( ~ coll(sK25,X0,sK26)
| ~ coll(sK25,X0,sK24)
| coll(sK26,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_1348]) ).
cnf(c_7547,plain,
( ~ coll(sK25,sK20,sK26)
| ~ coll(sK25,sK20,sK24)
| coll(sK26,sK24,sK25) ),
inference(instantiation,[status(thm)],[c_7546]) ).
cnf(c_7841,plain,
( ~ coll(sK24,sK25,sK26)
| coll(sK25,sK24,sK26) ),
inference(instantiation,[status(thm)],[c_1243]) ).
cnf(c_7892,plain,
( ~ para(sK21,sK22,sK21,sK22)
| ~ midp(X0,sK21,sK21)
| ~ coll(sK23,sK20,sK22)
| midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_2679,c_113]) ).
cnf(c_7894,plain,
( ~ para(sK21,sK22,sK21,sK25)
| ~ midp(X0,sK21,sK21)
| ~ coll(sK26,sK20,sK25)
| ~ coll(sK23,sK20,sK22)
| midp(X0,sK25,sK22) ),
inference(superposition,[status(thm)],[c_2686,c_113]) ).
cnf(c_7896,plain,
( ~ para(sK21,sK22,sK21,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK21,sK21)
| midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_7892]) ).
cnf(c_7901,plain,
( ~ para(sK21,sK22,sK21,sK25)
| ~ coll(sK26,sK20,sK25)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK21,sK21)
| midp(sK20,sK25,sK22) ),
inference(instantiation,[status(thm)],[c_7894]) ).
cnf(c_8560,plain,
( ~ coll(sK20,sK21,sK20)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK20,sK22)
| midp(sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_1157,c_116]) ).
cnf(c_9711,plain,
coll(sK21,sK22,sK25),
inference(global_subsumption_just,[status(thm)],[c_2688,c_3473]) ).
cnf(c_9715,plain,
coll(sK21,sK25,sK22),
inference(superposition,[status(thm)],[c_9711,c_49]) ).
cnf(c_9752,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
cnf(c_9779,plain,
( ~ perp(sK21,sK25,X0,X1)
| ~ coll(sK26,sK20,sK25)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_9752,c_57]) ).
cnf(c_9795,plain,
( ~ coll(sK26,sK20,sK25)
| para(sK20,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_942,c_9779]) ).
cnf(c_9799,plain,
( ~ coll(sK26,sK20,sK25)
| para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_9795,c_52]) ).
cnf(c_10150,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK26,sK20,sK25)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_9799,c_94]) ).
cnf(c_10159,plain,
( ~ coll(sK26,sK20,sK25)
| ~ coll(sK21,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_10150]) ).
cnf(c_10425,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| ~ coll(sK26,sK20,sK25)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_9799,c_113]) ).
cnf(c_10436,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ coll(sK26,sK20,sK25)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_10425]) ).
cnf(c_11203,plain,
( ~ perp(sK22,sK24,sK26,sK25)
| perp(sK26,sK25,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_11362,plain,
( ~ para(sK26,X0,sK26,X1)
| coll(sK26,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_11363,plain,
( ~ para(sK26,sK20,sK26,sK20)
| coll(sK26,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11362]) ).
cnf(c_11364,plain,
( ~ para(sK23,X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_11365,plain,
( ~ para(sK23,sK20,sK23,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11364]) ).
cnf(c_12939,plain,
( ~ coll(sK24,sK26,sK25)
| coll(sK24,sK25,sK26) ),
inference(instantiation,[status(thm)],[c_3873]) ).
cnf(c_13987,plain,
( ~ coll(sK25,sK24,X0)
| ~ coll(sK25,sK24,sK26)
| coll(X0,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_4581]) ).
cnf(c_13993,plain,
( ~ coll(sK25,sK24,sK26)
| ~ coll(sK25,sK24,sK20)
| coll(sK20,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_13987]) ).
cnf(c_16502,plain,
( ~ perp(sK16(sK11(sK20,sK21,sK25,sK26),sK26,sK20,X0,X1),sK11(sK20,sK21,sK25,sK26),X0,X1)
| perp(X0,X1,sK16(sK11(sK20,sK21,sK25,sK26),sK26,sK20,X0,X1),sK11(sK20,sK21,sK25,sK26)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_16504,plain,
( ~ perp(sK16(sK11(sK20,sK21,sK25,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK21,sK25,sK26),sK20,sK20)
| perp(sK20,sK20,sK16(sK11(sK20,sK21,sK25,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK21,sK25,sK26)) ),
inference(instantiation,[status(thm)],[c_16502]) ).
cnf(c_16505,plain,
( ~ perp(sK16(sK11(sK20,sK21,sK25,sK26),sK26,sK20,X0,X1),sK11(sK20,sK21,sK25,sK26),X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK20,sK21,sK25,sK26),sK26,sK20,X0,X1),sK11(sK20,sK21,sK25,sK26))
| para(X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_16506,plain,
( ~ perp(sK16(sK11(sK20,sK21,sK25,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK21,sK25,sK26),sK20,sK20)
| ~ perp(sK20,sK20,sK16(sK11(sK20,sK21,sK25,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK21,sK25,sK26))
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_16505]) ).
cnf(c_16981,plain,
( ~ coll(sK26,sK25,sK20)
| coll(sK26,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_1532]) ).
cnf(c_16998,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK26,X0,sK22) ),
inference(instantiation,[status(thm)],[c_1532]) ).
cnf(c_16999,plain,
( ~ coll(sK26,sK22,sK20)
| coll(sK26,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_16998]) ).
cnf(c_18128,plain,
( ~ coll(sK20,X0,sK26)
| ~ coll(sK20,X0,sK22)
| coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_1535]) ).
cnf(c_18129,plain,
( ~ coll(sK20,sK20,sK26)
| ~ coll(sK20,sK20,sK22)
| coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_18128]) ).
cnf(c_18329,plain,
perp(sK21,sK25,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_942,c_165,c_163,c_357,c_359,c_368,c_389,c_406,c_414,c_545,c_895,c_942,c_1550,c_4800,c_5123,c_5575,c_11363,c_16981,c_16999,c_18129]) ).
cnf(c_18331,plain,
perp(sK21,sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_18329,c_56]) ).
cnf(c_18360,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
cnf(c_18394,plain,
perp(sK20,sK21,sK21,sK25),
inference(global_subsumption_just,[status(thm)],[c_18360,c_165,c_163,c_357,c_359,c_368,c_389,c_406,c_414,c_545,c_769,c_895,c_1550,c_4800,c_5123,c_5575,c_11363,c_16981,c_16999,c_18129]) ).
cnf(c_18397,plain,
( ~ midp(sK21,sK21,sK25)
| cong(sK20,sK21,sK20,sK25) ),
inference(superposition,[status(thm)],[c_18394,c_104]) ).
cnf(c_18466,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK25,sK21,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_2686,c_165,c_163,c_357,c_359,c_368,c_389,c_406,c_414,c_545,c_895,c_1550,c_2686,c_4800,c_5123,c_5575,c_11363,c_16981,c_16999,c_18129]) ).
cnf(c_18740,plain,
( ~ coll(sK25,X0,sK22)
| ~ midp(sK21,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| midp(sK25,X0,sK22) ),
inference(superposition,[status(thm)],[c_18466,c_94]) ).
cnf(c_18742,plain,
( ~ coll(sK25,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK20,sK21)
| midp(sK25,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_18740]) ).
cnf(c_18749,plain,
( ~ circle(X0,X1,X2,X3)
| ~ coll(X1,X0,X3)
| ~ midp(X3,X2,X3)
| cyclic(X2,X3,X1,X0) ),
inference(superposition,[status(thm)],[c_99,c_91]) ).
cnf(c_19336,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| ~ midp(X0,X1,X4)
| cyclic(X1,X2,X4,X3) ),
inference(superposition,[status(thm)],[c_117,c_61]) ).
cnf(c_20024,plain,
( ~ cyclic(X0,X1,X2,X0)
| ~ cyclic(X0,X1,X2,X1)
| ~ cyclic(X0,X1,X2,X3)
| cong(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_89,c_92]) ).
cnf(c_20615,plain,
( ~ coll(sK20,X0,sK22)
| ~ coll(sK20,X0,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_1701]) ).
cnf(c_20616,plain,
( ~ coll(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_20615]) ).
cnf(c_22959,plain,
( ~ para(sK22,sK24,X0,X1)
| ~ perp(X0,X1,sK26,sK25)
| perp(sK22,sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_22960,plain,
( ~ para(sK22,sK24,sK20,sK20)
| ~ perp(sK20,sK20,sK26,sK25)
| perp(sK22,sK24,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_22959]) ).
cnf(c_23251,plain,
( ~ perp(X0,X1,sK22,sK24)
| perp(sK22,sK24,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_23252,plain,
( ~ perp(sK20,sK20,sK22,sK24)
| perp(sK22,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_23251]) ).
cnf(c_26088,plain,
( ~ coll(sK20,sK26,sK25)
| ~ midp(sK25,sK21,sK25)
| cyclic(sK21,sK25,sK20,sK26) ),
inference(superposition,[status(thm)],[c_163,c_18749]) ).
cnf(c_26101,plain,
( ~ midp(sK25,sK21,sK25)
| cyclic(sK21,sK25,sK20,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_26088,c_165,c_163,c_357,c_359,c_368,c_389,c_406,c_414,c_545,c_895,c_1072,c_1244,c_1550,c_2159,c_2919,c_4585,c_4800,c_5123,c_5575,c_7547,c_7841,c_11363,c_12939,c_13993,c_16981,c_16999,c_18129,c_26088]) ).
cnf(c_26104,plain,
( ~ cyclic(sK21,sK25,sK20,X0)
| ~ midp(sK25,sK21,sK25)
| cyclic(sK25,sK20,sK26,X0) ),
inference(superposition,[status(thm)],[c_26101,c_65]) ).
cnf(c_26108,plain,
( ~ cyclic(sK21,sK25,sK20,sK20)
| ~ midp(sK25,sK21,sK25)
| cyclic(sK25,sK20,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_26104]) ).
cnf(c_26471,plain,
( ~ midp(sK25,sK21,sK25)
| cyclic(sK25,sK20,sK26,sK26) ),
inference(superposition,[status(thm)],[c_26101,c_26104]) ).
cnf(c_26473,plain,
( ~ cyclic(sK25,sK20,sK26,X0)
| ~ midp(sK25,sK21,sK25)
| cyclic(sK20,sK26,sK26,X0) ),
inference(superposition,[status(thm)],[c_26471,c_65]) ).
cnf(c_26478,plain,
( ~ cyclic(sK25,sK20,sK26,sK20)
| ~ midp(sK25,sK21,sK25)
| cyclic(sK20,sK26,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_26473]) ).
cnf(c_26534,plain,
perp(sK21,sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_18331,c_55]) ).
cnf(c_27352,plain,
( ~ cong(X0,sK22,X1,sK22)
| ~ cong(X0,sK24,X1,sK24)
| perp(X0,X1,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_27353,plain,
( ~ cong(sK20,sK22,sK20,sK22)
| ~ cong(sK20,sK24,sK20,sK24)
| perp(sK20,sK20,sK22,sK24) ),
inference(instantiation,[status(thm)],[c_27352]) ).
cnf(c_28124,plain,
( ~ midp(sK20,sK25,sK21)
| cong(sK21,sK25,sK21,sK21) ),
inference(superposition,[status(thm)],[c_26534,c_104]) ).
cnf(c_28626,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(sK22,sK24,X0,X1)
| para(sK22,sK24,X2,X3) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_28630,plain,
( ~ perp(sK22,sK24,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK22,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_28626]) ).
cnf(c_28996,plain,
( ~ midp(X0,sK24,sK24)
| cong(X0,sK24,X0,sK24) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_28998,plain,
( ~ midp(sK20,sK24,sK24)
| cong(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_28996]) ).
cnf(c_30140,plain,
( ~ midp(sK25,sK21,sK25)
| cyclic(sK20,sK26,sK26,sK26) ),
inference(superposition,[status(thm)],[c_26471,c_26473]) ).
cnf(c_30840,plain,
( ~ cong(sK20,sK21,sK20,X0)
| ~ midp(sK20,sK21,X1)
| ~ midp(sK21,sK21,sK25)
| cyclic(sK21,sK25,X1,X0) ),
inference(superposition,[status(thm)],[c_18397,c_19336]) ).
cnf(c_31724,plain,
( ~ midp(sK20,sK21,X0)
| ~ midp(sK20,sK21,X1)
| ~ midp(sK21,sK21,sK25)
| cyclic(sK21,sK25,X1,X0) ),
inference(superposition,[status(thm)],[c_117,c_30840]) ).
cnf(c_31732,plain,
( ~ midp(sK20,sK21,sK20)
| ~ midp(sK21,sK21,sK25)
| cyclic(sK21,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_31724]) ).
cnf(c_36756,plain,
( ~ cyclic(sK20,sK26,sK26,sK26)
| ~ cyclic(sK20,sK26,sK26,sK20)
| ~ midp(sK25,sK21,sK25)
| cong(sK20,sK26,sK20,sK26) ),
inference(superposition,[status(thm)],[c_30140,c_20024]) ).
cnf(c_38285,plain,
midp(sK25,sK20,sK22),
inference(global_subsumption_just,[status(thm)],[c_1376,c_165,c_166,c_163,c_173,c_177,c_231,c_357,c_359,c_368,c_369,c_389,c_406,c_414,c_423,c_446,c_545,c_550,c_634,c_679,c_683,c_848,c_895,c_1073,c_1244,c_1316,c_1550,c_2919,c_4178,c_4800,c_5123,c_5146,c_5575,c_5666,c_10159,c_11363,c_11365,c_16504,c_16506,c_16981,c_16999,c_18129,c_18742,c_20616]) ).
cnf(c_38288,plain,
coll(sK25,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_38323,plain,
perp(sK21,sK22,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_919,c_165,c_166,c_357,c_369,c_389,c_446,c_545,c_848,c_919,c_1073,c_5146,c_5666,c_11365,c_20616]) ).
cnf(c_38376,plain,
( ~ coll(sK25,sK22,X0)
| coll(sK20,X0,sK25) ),
inference(superposition,[status(thm)],[c_38288,c_51]) ).
cnf(c_38434,plain,
( ~ midp(X0,sK20,X1)
| para(sK25,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_38285,c_93]) ).
cnf(c_38456,plain,
perp(sK21,sK25,sK21,sK20),
inference(global_subsumption_just,[status(thm)],[c_942,c_165,c_163,c_357,c_359,c_368,c_389,c_406,c_414,c_545,c_895,c_942,c_1550,c_4800,c_5123,c_5575,c_11363,c_16981,c_16999,c_18129]) ).
cnf(c_38458,plain,
perp(sK21,sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_38456,c_56]) ).
cnf(c_38460,plain,
perp(sK25,sK21,sK20,sK21),
inference(global_subsumption_just,[status(thm)],[c_943,c_165,c_163,c_357,c_359,c_368,c_389,c_406,c_414,c_545,c_895,c_943,c_1550,c_4800,c_5123,c_5575,c_11363,c_16981,c_16999,c_18129]) ).
cnf(c_38469,plain,
( ~ midp(sK25,X0,X1)
| para(sK20,X0,sK22,X1) ),
inference(superposition,[status(thm)],[c_38285,c_112]) ).
cnf(c_38514,plain,
( ~ coll(sK26,sK20,sK25)
| perp(sK20,sK21,sK21,sK25) ),
inference(superposition,[status(thm)],[c_163,c_102]) ).
cnf(c_38522,plain,
( ~ midp(sK21,sK20,sK21)
| cong(sK25,sK20,sK25,sK21) ),
inference(superposition,[status(thm)],[c_38460,c_104]) ).
cnf(c_38538,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_38323,c_57]) ).
cnf(c_38541,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK25,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_38460,c_57]) ).
cnf(c_38559,plain,
perp(sK20,sK21,sK21,sK25),
inference(global_subsumption_just,[status(thm)],[c_38514,c_165,c_163,c_357,c_359,c_368,c_389,c_406,c_414,c_545,c_769,c_895,c_1550,c_4800,c_5123,c_5575,c_11363,c_16981,c_16999,c_18129]) ).
cnf(c_38562,plain,
( ~ midp(sK21,sK21,sK25)
| cong(sK20,sK21,sK20,sK25) ),
inference(superposition,[status(thm)],[c_38559,c_104]) ).
cnf(c_38572,plain,
( ~ midp(sK21,sK21,sK25)
| cong(sK20,sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_38562,c_72]) ).
cnf(c_38667,plain,
( ~ cong(sK20,sK21,X0,X1)
| ~ midp(sK21,sK21,sK25)
| cong(sK20,sK25,X0,X1) ),
inference(superposition,[status(thm)],[c_38572,c_73]) ).
cnf(c_38721,plain,
para(sK21,sK22,sK21,sK25),
inference(superposition,[status(thm)],[c_38559,c_38538]) ).
cnf(c_38773,plain,
cong(sK25,sK20,sK25,sK21),
inference(global_subsumption_just,[status(thm)],[c_38522,c_165,c_163,c_173,c_177,c_231,c_357,c_359,c_368,c_389,c_406,c_414,c_423,c_545,c_550,c_634,c_679,c_683,c_895,c_1244,c_1292,c_1316,c_1550,c_2919,c_4178,c_4800,c_5123,c_5575,c_10159,c_11363,c_16504,c_16506,c_16981,c_16999,c_18129]) ).
cnf(c_38776,plain,
( ~ coll(sK25,sK20,sK21)
| midp(sK25,sK20,sK21) ),
inference(superposition,[status(thm)],[c_38773,c_116]) ).
cnf(c_38816,plain,
para(sK25,sK21,sK21,sK25),
inference(superposition,[status(thm)],[c_38559,c_38541]) ).
cnf(c_38821,plain,
para(sK21,sK25,sK25,sK21),
inference(superposition,[status(thm)],[c_38816,c_53]) ).
cnf(c_38834,plain,
para(sK21,sK25,sK21,sK25),
inference(superposition,[status(thm)],[c_38821,c_52]) ).
cnf(c_38923,plain,
( ~ coll(sK22,X0,sK25)
| ~ midp(sK21,X0,sK21)
| midp(sK22,X0,sK25) ),
inference(superposition,[status(thm)],[c_38721,c_94]) ).
cnf(c_38929,plain,
( ~ coll(X0,X1,X2)
| ~ midp(sK25,X0,X2)
| ~ midp(sK20,X1,sK22)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_38469,c_94]) ).
cnf(c_38932,plain,
( ~ coll(X0,X1,X2)
| ~ midp(X0,sK20,X2)
| ~ midp(sK25,X1,sK22)
| midp(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_38434,c_94]) ).
cnf(c_39449,plain,
( ~ midp(sK21,sK21,sK25)
| cong(sK20,sK25,sK20,sK25) ),
inference(superposition,[status(thm)],[c_38562,c_38667]) ).
cnf(c_40936,plain,
( ~ midp(sK21,sK25,sK21)
| midp(sK22,sK25,sK25) ),
inference(superposition,[status(thm)],[c_807,c_38923]) ).
cnf(c_41078,plain,
( ~ midp(sK25,sK22,sK22)
| ~ midp(sK25,sK20,sK25)
| midp(sK25,sK22,sK25) ),
inference(superposition,[status(thm)],[c_955,c_38932]) ).
cnf(c_41168,plain,
( ~ midp(sK25,sK25,sK22)
| ~ midp(sK25,sK20,sK21)
| midp(sK25,sK25,sK21) ),
inference(superposition,[status(thm)],[c_958,c_38932]) ).
cnf(c_41181,plain,
( ~ midp(sK25,sK22,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK22,sK20) ),
inference(superposition,[status(thm)],[c_978,c_38932]) ).
cnf(c_41243,plain,
coll(sK25,sK21,sK22),
inference(superposition,[status(thm)],[c_9715,c_50]) ).
cnf(c_41618,plain,
coll(sK25,sK22,sK21),
inference(superposition,[status(thm)],[c_41243,c_49]) ).
cnf(c_41730,plain,
coll(sK20,sK21,sK25),
inference(superposition,[status(thm)],[c_41618,c_38376]) ).
cnf(c_41768,plain,
coll(sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_41730,c_49]) ).
cnf(c_41906,plain,
( ~ midp(sK25,sK20,sK21)
| ~ midp(sK20,sK25,sK22)
| midp(sK20,sK25,sK21) ),
inference(superposition,[status(thm)],[c_41768,c_38929]) ).
cnf(c_42270,plain,
perp(sK21,sK20,sK25,sK21),
inference(superposition,[status(thm)],[c_38458,c_55]) ).
cnf(c_43047,plain,
( ~ coll(sK25,X0,sK25)
| ~ midp(sK21,X0,sK21)
| midp(sK25,X0,sK25) ),
inference(superposition,[status(thm)],[c_38834,c_94]) ).
cnf(c_43059,plain,
( ~ coll(sK25,sK20,sK25)
| ~ midp(sK21,sK20,sK21)
| midp(sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_43047]) ).
cnf(c_43208,plain,
( ~ midp(sK20,sK25,sK21)
| cong(sK21,sK25,sK21,sK21) ),
inference(superposition,[status(thm)],[c_42270,c_104]) ).
cnf(c_43274,plain,
cong(sK21,sK25,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_43208,c_165,c_166,c_163,c_173,c_177,c_231,c_357,c_359,c_368,c_369,c_389,c_406,c_414,c_423,c_446,c_545,c_550,c_634,c_683,c_815,c_848,c_895,c_1073,c_1244,c_1316,c_1550,c_2166,c_2678,c_2919,c_4178,c_4800,c_5123,c_5146,c_5575,c_5666,c_7901,c_10436,c_11363,c_11365,c_16504,c_16506,c_16981,c_16999,c_18129,c_20616,c_28124,c_38776,c_41906]) ).
cnf(c_43278,plain,
( ~ coll(sK21,sK25,sK21)
| midp(sK21,sK25,sK21) ),
inference(superposition,[status(thm)],[c_43274,c_116]) ).
cnf(c_52662,plain,
( ~ para(X0,sK24,X1,sK24)
| ~ midp(X2,X0,X1)
| midp(X2,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_52663,plain,
( ~ para(sK20,sK24,sK20,sK24)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK24,sK24) ),
inference(instantiation,[status(thm)],[c_52662]) ).
cnf(c_54503,plain,
( ~ midp(X0,sK22,sK22)
| cong(X0,sK22,X0,sK22) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_54505,plain,
( ~ midp(sK20,sK22,sK22)
| cong(sK20,sK22,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_54503]) ).
cnf(c_55281,plain,
( ~ cong(X0,sK26,X1,sK26)
| ~ cong(X0,sK25,X1,sK25)
| perp(X0,X1,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_55282,plain,
( ~ cong(sK20,sK26,sK20,sK26)
| ~ cong(sK20,sK25,sK20,sK25)
| perp(sK20,sK20,sK26,sK25) ),
inference(instantiation,[status(thm)],[c_55281]) ).
cnf(c_58868,plain,
( ~ eqangle(X0,sK24,X1,X2,X3,sK24,X1,X2)
| para(X0,sK24,X3,sK24) ),
inference(instantiation,[status(thm)],[c_87]) ).
cnf(c_58871,plain,
( ~ eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20)
| para(sK20,sK24,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_58868]) ).
cnf(c_63370,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(sK20,sK24,X0,X1,sK20,sK24,X2,X3) ),
inference(instantiation,[status(thm)],[c_2279]) ).
cnf(c_63371,plain,
( ~ para(sK20,sK20,sK20,sK20)
| eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_63370]) ).
cnf(c_63372,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_63371,c_58871,c_55282,c_54505,c_52663,c_43278,c_43059,c_41181,c_41168,c_41078,c_40936,c_39449,c_38776,c_36756,c_31732,c_30140,c_28998,c_28630,c_27353,c_26478,c_26108,c_23252,c_22960,c_20616,c_18129,c_16999,c_16981,c_16506,c_16504,c_11365,c_11363,c_11203,c_10436,c_10159,c_8560,c_7896,c_5666,c_5575,c_5490,c_5146,c_5123,c_4800,c_4241,c_4178,c_2919,c_2679,c_2356,c_2166,c_1720,c_1550,c_1390,c_1404,c_1411,c_1316,c_1244,c_1073,c_895,c_848,c_815,c_810,c_683,c_679,c_634,c_629,c_550,c_545,c_446,c_423,c_414,c_406,c_389,c_369,c_368,c_359,c_357,c_231,c_182,c_177,c_173,c_162,c_163,c_166,c_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO586+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 23:11:27 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 28.26/4.73 % SZS status Started for theBenchmark.p
% 28.26/4.73 % SZS status Theorem for theBenchmark.p
% 28.26/4.73
% 28.26/4.73 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 28.26/4.73
% 28.26/4.73 ------ iProver source info
% 28.26/4.73
% 28.26/4.73 git: date: 2023-05-31 18:12:56 +0000
% 28.26/4.73 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 28.26/4.73 git: non_committed_changes: false
% 28.26/4.73 git: last_make_outside_of_git: false
% 28.26/4.73
% 28.26/4.73 ------ Parsing...
% 28.26/4.73 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.26/4.73
% 28.26/4.73 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 28.26/4.73
% 28.26/4.73 ------ Preprocessing...
% 28.26/4.73
% 28.26/4.73 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.26/4.73 ------ Proving...
% 28.26/4.73 ------ Problem Properties
% 28.26/4.73
% 28.26/4.73
% 28.26/4.73 clauses 118
% 28.26/4.73 conjectures 6
% 28.26/4.73 EPR 81
% 28.26/4.73 Horn 108
% 28.26/4.73 unary 6
% 28.26/4.73 binary 37
% 28.26/4.73 lits 334
% 28.26/4.73 lits eq 4
% 28.26/4.73 fd_pure 0
% 28.26/4.73 fd_pseudo 0
% 28.26/4.73 fd_cond 0
% 28.26/4.73 fd_pseudo_cond 4
% 28.26/4.73 AC symbols 0
% 28.26/4.73
% 28.26/4.73 ------ Input Options Time Limit: Unbounded
% 28.26/4.73
% 28.26/4.73
% 28.26/4.73 ------
% 28.26/4.73 Current options:
% 28.26/4.73 ------
% 28.26/4.73
% 28.26/4.73
% 28.26/4.73
% 28.26/4.73
% 28.26/4.73 ------ Proving...
% 28.26/4.73
% 28.26/4.73
% 28.26/4.73 % SZS status Theorem for theBenchmark.p
% 28.26/4.73
% 28.26/4.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.26/4.73
% 28.26/4.73
%------------------------------------------------------------------------------