TSTP Solution File: GEO559+1 by iProver---3.9
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%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : GEO559+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 02:17:49 EDT 2024
% Result : Theorem 100.63s 14.29s
% Output : CNFRefutation 100.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 43
% Syntax : Number of formulae : 609 ( 69 unt; 0 def)
% Number of atoms : 1568 ( 16 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 1757 ( 798 ~; 793 |; 98 &)
% ( 0 <=>; 68 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-8 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-5 aty)
% Number of variables : 1379 ( 10 sgn 829 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).
fof(f2,axiom,
! [X0,X1,X2] :
( coll(X0,X1,X2)
=> coll(X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( coll(X0,X1,X3)
& coll(X0,X1,X2) )
=> coll(X2,X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).
fof(f4,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).
fof(f5,axiom,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
=> para(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD6) ).
fof(f7,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).
fof(f8,axiom,
! [X0,X1,X2,X3] :
( perp(X0,X1,X2,X3)
=> perp(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).
fof(f9,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& perp(X0,X1,X2,X3) )
=> para(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).
fof(f10,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( perp(X2,X3,X4,X5)
& para(X0,X1,X2,X3) )
=> perp(X0,X1,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).
fof(f11,axiom,
! [X0,X1,X6] :
( midp(X6,X1,X0)
=> midp(X6,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).
fof(f12,axiom,
! [X0,X1,X2,X7] :
( ( cong(X7,X0,X7,X2)
& cong(X7,X0,X7,X1) )
=> circle(X7,X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).
fof(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/sandbox2/benchmark/theBenchmark.p',ruleD19) ).
fof(f21,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
=> eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).
fof(f24,axiom,
! [X0,X1,X2,X3] :
( cong(X0,X1,X2,X3)
=> cong(X2,X3,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).
fof(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD40) ).
fof(f43,axiom,
! [X0,X1,X8,X9] :
( ( coll(X8,X9,X1)
& eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
=> cyclic(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).
fof(f44,axiom,
! [X0,X1,X2,X8,X9,X14] :
( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
& cyclic(X0,X1,X2,X14)
& cyclic(X0,X1,X2,X9)
& cyclic(X0,X1,X2,X8) )
=> cong(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).
fof(f45,axiom,
! [X0,X1,X2,X4,X5] :
( ( midp(X5,X0,X2)
& midp(X4,X0,X1) )
=> para(X4,X5,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD45) ).
fof(f47,axiom,
! [X0,X1,X7] :
( cong(X7,X0,X7,X1)
=> eqangle(X7,X0,X0,X1,X0,X1,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD46) ).
fof(f49,axiom,
! [X0,X1,X2,X7,X15] :
( ( perp(X7,X0,X0,X15)
& circle(X7,X0,X1,X2) )
=> eqangle(X0,X15,X0,X1,X2,X0,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD48) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD52) ).
fof(f54,axiom,
! [X0,X1,X2,X7] :
( ( coll(X7,X0,X2)
& circle(X7,X0,X1,X2) )
=> perp(X0,X1,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).
fof(f56,axiom,
! [X0,X1,X6,X7] :
( ( perp(X7,X6,X0,X1)
& midp(X6,X0,X1) )
=> cong(X7,X0,X7,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).
fof(f57,axiom,
! [X0,X1,X8,X9] :
( ( cong(X0,X9,X1,X9)
& cong(X0,X8,X1,X8) )
=> perp(X0,X1,X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).
fof(f64,axiom,
! [X0,X1,X2,X3,X6] :
( ( midp(X6,X2,X3)
& midp(X6,X0,X1) )
=> para(X0,X2,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).
fof(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/sandbox2/benchmark/theBenchmark.p',ruleD64) ).
fof(f67,axiom,
! [X0,X1,X2] :
( para(X0,X1,X0,X2)
=> coll(X0,X1,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD67) ).
fof(f69,axiom,
! [X0,X1,X2] :
( midp(X0,X1,X2)
=> cong(X0,X1,X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).
fof(f73,axiom,
! [X0,X1,X2,X3] :
( ( ~ perp(X0,X1,X2,X3)
& eqangle(X0,X1,X2,X3,X2,X3,X0,X1) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD72) ).
fof(f74,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( para(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> para(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD73) ).
fof(f75,axiom,
! [X0,X1,X2,X3,X8,X9,X10,X11] :
( ( perp(X8,X9,X10,X11)
& eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
=> perp(X0,X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD74) ).
fof(f87,axiom,
! [X0,X1,X2,X7] :
? [X8] :
( circle(X7,X0,X1,X2)
=> perp(X8,X0,X0,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).
fof(f91,axiom,
! [X0,X1,X2,X4,X5] :
? [X8] :
( ( coll(X1,X4,X5)
& perp(X0,X2,X2,X1) )
=> ( perp(X8,X0,X4,X5)
& coll(X8,X4,X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX15) ).
fof(f95,conjecture,
! [X0,X1,X2,X7,X5,X8,X4,X3,X18,X19] :
( ( coll(X3,X1,X5)
& circle(X7,X1,X3,X19)
& coll(X4,X0,X2)
& circle(X8,X0,X4,X18)
& circle(X8,X0,X1,X5)
& circle(X7,X0,X1,X2) )
=> para(X2,X3,X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012019) ).
fof(f96,negated_conjecture,
~ ! [X0,X1,X2,X7,X5,X8,X4,X3,X18,X19] :
( ( coll(X3,X1,X5)
& circle(X7,X1,X3,X19)
& coll(X4,X0,X2)
& circle(X8,X0,X4,X18)
& circle(X8,X0,X1,X5)
& circle(X7,X0,X1,X2) )
=> para(X2,X3,X4,X5) ),
inference(negated_conjecture,[],[f95]) ).
fof(f97,plain,
! [X0,X1,X2] :
( midp(X2,X1,X0)
=> midp(X2,X0,X1) ),
inference(rectify,[],[f11]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( ( cong(X3,X0,X3,X2)
& cong(X3,X0,X3,X1) )
=> circle(X3,X0,X1,X2) ),
inference(rectify,[],[f12]) ).
fof(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(f103,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
=> eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(rectify,[],[f21]) ).
fof(f118,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f39]) ).
fof(f119,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
=> eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(rectify,[],[f40]) ).
fof(f122,plain,
! [X0,X1,X2,X3] :
( ( coll(X2,X3,X1)
& eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
=> cyclic(X0,X1,X2,X3) ),
inference(rectify,[],[f43]) ).
fof(f123,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
& cyclic(X0,X1,X2,X5)
& cyclic(X0,X1,X2,X4)
& cyclic(X0,X1,X2,X3) )
=> cong(X0,X1,X3,X4) ),
inference(rectify,[],[f44]) ).
fof(f124,plain,
! [X0,X1,X2,X3,X4] :
( ( midp(X4,X0,X2)
& midp(X3,X0,X1) )
=> para(X3,X4,X1,X2) ),
inference(rectify,[],[f45]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( ( coll(X4,X0,X2)
& para(X3,X4,X1,X2)
& midp(X3,X0,X1) )
=> midp(X4,X0,X2) ),
inference(rectify,[],[f46]) ).
fof(f126,plain,
! [X0,X1,X2] :
( cong(X2,X0,X2,X1)
=> eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
inference(rectify,[],[f47]) ).
fof(f128,plain,
! [X0,X1,X2,X3,X4] :
( ( perp(X3,X0,X0,X4)
& circle(X3,X0,X1,X2) )
=> eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
inference(rectify,[],[f49]) ).
fof(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(f146,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( para(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> para(X0,X1,X2,X3) ),
inference(rectify,[],[f74]) ).
fof(f147,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( perp(X4,X5,X6,X7)
& eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
=> perp(X0,X1,X2,X3) ),
inference(rectify,[],[f75]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
? [X4] :
( circle(X3,X0,X1,X2)
=> perp(X4,X0,X0,X3) ),
inference(rectify,[],[f87]) ).
fof(f163,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( coll(X1,X3,X4)
& perp(X0,X2,X2,X1) )
=> ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) ) ),
inference(rectify,[],[f91]) ).
fof(f167,plain,
~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ( coll(X7,X1,X4)
& circle(X3,X1,X7,X9)
& coll(X6,X0,X2)
& circle(X5,X0,X6,X8)
& circle(X5,X0,X1,X4)
& circle(X3,X0,X1,X2) )
=> para(X2,X7,X6,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(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(f182,plain,
! [X0,X1,X2] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f183,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f98]) ).
fof(f184,plain,
! [X0,X1,X2,X3] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(flattening,[],[f183]) ).
fof(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(f195,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f103]) ).
fof(f198,plain,
! [X0,X1,X2,X3] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f23]) ).
fof(f199,plain,
! [X0,X1,X2,X3] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f218,plain,
! [X0,X1,X2,X3,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(ennf_transformation,[],[f118]) ).
fof(f219,plain,
! [X0,X1,X2,X3,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f119]) ).
fof(f223,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(ennf_transformation,[],[f122]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(flattening,[],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(ennf_transformation,[],[f123]) ).
fof(f226,plain,
! [X0,X1,X2,X3,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(flattening,[],[f225]) ).
fof(f227,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f124]) ).
fof(f228,plain,
! [X0,X1,X2,X3,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f227]) ).
fof(f229,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(ennf_transformation,[],[f125]) ).
fof(f230,plain,
! [X0,X1,X2,X3,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(flattening,[],[f229]) ).
fof(f231,plain,
! [X0,X1,X2] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(ennf_transformation,[],[f126]) ).
fof(f234,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f128]) ).
fof(f235,plain,
! [X0,X1,X2,X3,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(flattening,[],[f234]) ).
fof(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(f276,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| perp(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f277,plain,
! [X0,X1,X2,X3] :
( para(X0,X1,X2,X3)
| perp(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1) ),
inference(flattening,[],[f276]) ).
fof(f278,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f146]) ).
fof(f279,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f278]) ).
fof(f280,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(ennf_transformation,[],[f147]) ).
fof(f281,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(flattening,[],[f280]) ).
fof(f304,plain,
! [X0,X1,X2,X3] :
? [X4] :
( perp(X4,X0,X0,X3)
| ~ circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f159]) ).
fof(f311,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(ennf_transformation,[],[f163]) ).
fof(f312,plain,
! [X0,X1,X2,X3,X4] :
? [X5] :
( ( perp(X5,X0,X3,X4)
& coll(X5,X3,X4) )
| ~ coll(X1,X3,X4)
| ~ perp(X0,X2,X2,X1) ),
inference(flattening,[],[f311]) ).
fof(f319,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X2,X7,X6,X4)
& coll(X7,X1,X4)
& circle(X3,X1,X7,X9)
& coll(X6,X0,X2)
& circle(X5,X0,X6,X8)
& circle(X5,X0,X1,X4)
& circle(X3,X0,X1,X2) ),
inference(ennf_transformation,[],[f167]) ).
fof(f320,plain,
? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
( ~ para(X2,X7,X6,X4)
& coll(X7,X1,X4)
& circle(X3,X1,X7,X9)
& coll(X6,X0,X2)
& circle(X5,X0,X6,X8)
& circle(X5,X0,X1,X4)
& 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,X8,X9] :
( ~ para(X2,X7,X6,X4)
& coll(X7,X1,X4)
& circle(X3,X1,X7,X9)
& coll(X6,X0,X2)
& circle(X5,X0,X6,X8)
& circle(X5,X0,X1,X4)
& circle(X3,X0,X1,X2) )
=> ( ~ para(sK22,sK27,sK26,sK24)
& coll(sK27,sK21,sK24)
& circle(sK23,sK21,sK27,sK29)
& coll(sK26,sK20,sK22)
& circle(sK25,sK20,sK26,sK28)
& circle(sK25,sK20,sK21,sK24)
& circle(sK23,sK20,sK21,sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f359,plain,
( ~ para(sK22,sK27,sK26,sK24)
& coll(sK27,sK21,sK24)
& circle(sK23,sK21,sK27,sK29)
& coll(sK26,sK20,sK22)
& circle(sK25,sK20,sK26,sK28)
& circle(sK25,sK20,sK21,sK24)
& circle(sK23,sK20,sK21,sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29])],[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(f370,plain,
! [X2,X0,X1] :
( midp(X2,X0,X1)
| ~ midp(X2,X1,X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f371,plain,
! [X2,X3,X0,X1] :
( circle(X3,X0,X1,X2)
| ~ cong(X3,X0,X3,X2)
| ~ cong(X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(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(f380,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f195]) ).
fof(f382,plain,
! [X2,X3,X0,X1] :
( cong(X0,X1,X3,X2)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f198]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( cong(X2,X3,X0,X1)
| ~ cong(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f199]) ).
fof(f398,plain,
! [X2,X3,X0,X1,X4,X5] :
( para(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f218]) ).
fof(f399,plain,
! [X2,X3,X0,X1,X4,X5] :
( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
| ~ para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f219]) ).
fof(f402,plain,
! [X2,X3,X0,X1] :
( cyclic(X0,X1,X2,X3)
| ~ coll(X2,X3,X1)
| ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
inference(cnf_transformation,[],[f224]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4,X5] :
( cong(X0,X1,X3,X4)
| ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
| ~ cyclic(X0,X1,X2,X5)
| ~ cyclic(X0,X1,X2,X4)
| ~ cyclic(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f226]) ).
fof(f404,plain,
! [X2,X3,X0,X1,X4] :
( para(X3,X4,X1,X2)
| ~ midp(X4,X0,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f405,plain,
! [X2,X3,X0,X1,X4] :
( midp(X4,X0,X2)
| ~ coll(X4,X0,X2)
| ~ para(X3,X4,X1,X2)
| ~ midp(X3,X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f406,plain,
! [X2,X0,X1] :
( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
| ~ cong(X2,X0,X2,X1) ),
inference(cnf_transformation,[],[f231]) ).
fof(f408,plain,
! [X2,X3,X0,X1,X4] :
( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
| ~ perp(X3,X0,X0,X4)
| ~ circle(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f235]) ).
fof(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(f432,plain,
! [X2,X3,X0,X1] :
( para(X0,X1,X2,X3)
| perp(X0,X1,X2,X3)
| ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f277]) ).
fof(f433,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( para(X0,X1,X2,X3)
| ~ para(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f279]) ).
fof(f434,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( perp(X0,X1,X2,X3)
| ~ perp(X4,X5,X6,X7)
| ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
inference(cnf_transformation,[],[f281]) ).
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(sK25,sK20,sK21,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f475,plain,
circle(sK25,sK20,sK26,sK28),
inference(cnf_transformation,[],[f359]) ).
fof(f476,plain,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f359]) ).
fof(f477,plain,
circle(sK23,sK21,sK27,sK29),
inference(cnf_transformation,[],[f359]) ).
fof(f478,plain,
coll(sK27,sK21,sK24),
inference(cnf_transformation,[],[f359]) ).
fof(f479,plain,
~ para(sK22,sK27,sK26,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_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_59,plain,
( ~ midp(X0,X1,X2)
| midp(X0,X2,X1) ),
inference(cnf_transformation,[],[f370]) ).
cnf(c_60,plain,
( ~ cong(X0,X1,X0,X2)
| ~ cong(X0,X1,X0,X3)
| circle(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f371]) ).
cnf(c_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_69,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
inference(cnf_transformation,[],[f380]) ).
cnf(c_71,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_72,plain,
( ~ cong(X0,X1,X2,X3)
| cong(X2,X3,X0,X1) ),
inference(cnf_transformation,[],[f383]) ).
cnf(c_87,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
| para(X0,X1,X4,X5) ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_88,plain,
( ~ para(X0,X1,X2,X3)
| eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_91,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
| ~ coll(X0,X3,X2)
| cyclic(X1,X2,X0,X3) ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_92,plain,
( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
| ~ cyclic(X1,X2,X0,X3)
| ~ cyclic(X1,X2,X0,X4)
| ~ cyclic(X1,X2,X0,X5)
| cong(X1,X2,X4,X5) ),
inference(cnf_transformation,[],[f403]) ).
cnf(c_93,plain,
( ~ midp(X0,X1,X2)
| ~ midp(X3,X1,X4)
| para(X0,X3,X2,X4) ),
inference(cnf_transformation,[],[f404]) ).
cnf(c_94,plain,
( ~ para(X0,X1,X2,X3)
| ~ coll(X1,X4,X3)
| ~ midp(X0,X4,X2)
| midp(X1,X4,X3) ),
inference(cnf_transformation,[],[f405]) ).
cnf(c_95,plain,
( ~ cong(X0,X1,X0,X2)
| eqangle(X0,X1,X1,X2,X1,X2,X0,X2) ),
inference(cnf_transformation,[],[f406]) ).
cnf(c_97,plain,
( ~ perp(X0,X1,X1,X2)
| ~ circle(X0,X1,X3,X4)
| eqangle(X1,X2,X1,X3,X4,X1,X4,X3) ),
inference(cnf_transformation,[],[f408]) ).
cnf(c_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_121,plain,
( ~ eqangle(X0,X1,X2,X3,X2,X3,X0,X1)
| para(X0,X1,X2,X3)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f432]) ).
cnf(c_122,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ para(X4,X5,X6,X7)
| para(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f433]) ).
cnf(c_123,plain,
( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
| ~ perp(X4,X5,X6,X7)
| perp(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f434]) ).
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,
~ para(sK22,sK27,sK26,sK24),
inference(cnf_transformation,[],[f479]) ).
cnf(c_163,negated_conjecture,
coll(sK27,sK21,sK24),
inference(cnf_transformation,[],[f478]) ).
cnf(c_164,negated_conjecture,
circle(sK23,sK21,sK27,sK29),
inference(cnf_transformation,[],[f477]) ).
cnf(c_165,negated_conjecture,
coll(sK26,sK20,sK22),
inference(cnf_transformation,[],[f476]) ).
cnf(c_166,negated_conjecture,
circle(sK25,sK20,sK26,sK28),
inference(cnf_transformation,[],[f475]) ).
cnf(c_167,negated_conjecture,
circle(sK25,sK20,sK21,sK24),
inference(cnf_transformation,[],[f474]) ).
cnf(c_168,negated_conjecture,
circle(sK23,sK20,sK21,sK22),
inference(cnf_transformation,[],[f473]) ).
cnf(c_174,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| midp(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_183,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_2207,plain,
( X0 != sK23
| X1 != sK21
| X2 != sK27
| X3 != sK29
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_164]) ).
cnf(c_2208,plain,
perp(sK11(sK21,sK27,sK29,sK23),sK21,sK21,sK23),
inference(unflattening,[status(thm)],[c_2207]) ).
cnf(c_2289,plain,
( X0 != sK25
| X1 != sK20
| X2 != sK26
| X3 != sK28
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_166]) ).
cnf(c_2290,plain,
perp(sK11(sK20,sK26,sK28,sK25),sK20,sK20,sK25),
inference(unflattening,[status(thm)],[c_2289]) ).
cnf(c_2453,plain,
( X0 != sK23
| X1 != sK20
| X2 != sK21
| X3 != sK22
| perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
inference(resolution_lifted,[status(thm)],[c_148,c_168]) ).
cnf(c_2454,plain,
perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23),
inference(unflattening,[status(thm)],[c_2453]) ).
cnf(c_2458,plain,
( X0 != sK23
| X1 != sK20
| X2 != sK21
| X3 != sK22
| ~ coll(X0,X1,X3)
| perp(X1,X2,X2,X3) ),
inference(resolution_lifted,[status(thm)],[c_102,c_168]) ).
cnf(c_2459,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(unflattening,[status(thm)],[c_2458]) ).
cnf(c_6878,plain,
( ~ coll(sK26,sK20,sK22)
| coll(sK26,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_6913,plain,
( ~ coll(sK26,sK22,sK20)
| coll(sK22,sK26,sK20) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_6916,plain,
( ~ coll(sK26,sK22,X0)
| ~ coll(sK26,sK22,sK20)
| coll(X0,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_6917,plain,
( ~ coll(sK26,sK22,sK20)
| coll(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_6916]) ).
cnf(c_6966,plain,
( ~ perp(sK11(sK21,sK27,sK29,sK23),sK21,sK21,sK23)
| ~ coll(sK23,X0,X1)
| perp(sK16(sK11(sK21,sK27,sK29,sK23),sK23,sK21,X0,X1),sK11(sK21,sK27,sK29,sK23),X0,X1) ),
inference(instantiation,[status(thm)],[c_155]) ).
cnf(c_6969,plain,
( ~ perp(sK11(sK21,sK27,sK29,sK23),sK21,sK21,sK23)
| ~ coll(sK23,sK20,sK20)
| perp(sK16(sK11(sK21,sK27,sK29,sK23),sK23,sK21,sK20,sK20),sK11(sK21,sK27,sK29,sK23),sK20,sK20) ),
inference(instantiation,[status(thm)],[c_6966]) ).
cnf(c_6983,plain,
( ~ perp(sK11(sK20,sK26,sK28,sK25),sK20,sK20,sK25)
| perp(sK20,sK25,sK11(sK20,sK26,sK28,sK25),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_6984,plain,
( ~ perp(sK11(sK20,sK26,sK28,sK25),sK20,sK20,sK25)
| perp(sK11(sK20,sK26,sK28,sK25),sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_6988,plain,
( ~ perp(X0,X1,sK11(sK20,sK26,sK28,sK25),sK20)
| ~ perp(sK11(sK20,sK26,sK28,sK25),sK20,sK20,sK25)
| para(X0,X1,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7009,plain,
coll(sK27,sK24,sK21),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_7010,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_7013,plain,
coll(sK21,sK27,sK24),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_7014,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_165,c_50]) ).
cnf(c_7021,plain,
coll(sK24,sK27,sK21),
inference(superposition,[status(thm)],[c_7009,c_50]) ).
cnf(c_7023,plain,
coll(sK22,sK26,sK20),
inference(superposition,[status(thm)],[c_7010,c_50]) ).
cnf(c_7059,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X1,X2,X0) ),
inference(superposition,[status(thm)],[c_117,c_71]) ).
cnf(c_7091,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
cnf(c_7092,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_7059,c_72]) ).
cnf(c_7096,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X1,X0) ),
inference(superposition,[status(thm)],[c_7091,c_71]) ).
cnf(c_7100,plain,
( ~ midp(X0,X1,X2)
| cong(X2,X0,X1,X0) ),
inference(superposition,[status(thm)],[c_7092,c_71]) ).
cnf(c_7107,plain,
( ~ midp(X0,X1,X2)
| cong(X1,X0,X2,X0) ),
inference(superposition,[status(thm)],[c_7100,c_72]) ).
cnf(c_7124,plain,
( ~ coll(sK27,sK24,X0)
| coll(sK21,X0,sK27) ),
inference(superposition,[status(thm)],[c_7009,c_51]) ).
cnf(c_7125,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_7010,c_51]) ).
cnf(c_7126,plain,
( ~ coll(sK21,sK27,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_7013,c_51]) ).
cnf(c_7127,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_7014,c_51]) ).
cnf(c_7129,plain,
( ~ coll(sK24,sK27,X0)
| coll(sK21,X0,sK24) ),
inference(superposition,[status(thm)],[c_7021,c_51]) ).
cnf(c_7130,plain,
( ~ coll(sK22,sK26,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7023,c_51]) ).
cnf(c_7136,plain,
( ~ coll(sK22,sK26,sK20)
| coll(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7130]) ).
cnf(c_7144,plain,
( ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK20,sK23)
| perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_7236,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_7009,c_7124]) ).
cnf(c_7238,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK27,X0,sK21) ),
inference(superposition,[status(thm)],[c_7236,c_51]) ).
cnf(c_7240,plain,
coll(sK21,sK27,sK21),
inference(superposition,[status(thm)],[c_7236,c_49]) ).
cnf(c_7241,plain,
( ~ coll(sK21,sK21,sK20)
| coll(sK27,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7238]) ).
cnf(c_7244,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_7010,c_7125]) ).
cnf(c_7247,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_7244,c_49]) ).
cnf(c_7260,plain,
( ~ perp(X0,X1,sK20,X2)
| ~ perp(sK20,X2,X2,sK22)
| para(X0,X1,X2,sK22) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7261,plain,
( ~ perp(sK20,sK20,sK20,sK22)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_7260]) ).
cnf(c_7296,plain,
( ~ coll(sK21,sK27,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7240,c_51]) ).
cnf(c_7299,plain,
coll(sK24,sK21,sK21),
inference(superposition,[status(thm)],[c_7240,c_7126]) ).
cnf(c_7301,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK20,X0,sK20) ),
inference(superposition,[status(thm)],[c_7247,c_51]) ).
cnf(c_7304,plain,
( ~ coll(sK20,sK26,sK20)
| coll(sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_7301]) ).
cnf(c_7311,plain,
coll(sK22,sK22,sK20),
inference(superposition,[status(thm)],[c_7014,c_7127]) ).
cnf(c_7313,plain,
( ~ coll(sK22,sK22,X0)
| coll(sK20,X0,sK22) ),
inference(superposition,[status(thm)],[c_7311,c_51]) ).
cnf(c_7359,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_7299,c_50]) ).
cnf(c_7391,plain,
( ~ cong(X0,X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_95,c_87]) ).
cnf(c_7456,plain,
( ~ coll(sK20,sK25,sK28)
| coll(sK25,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_7469,plain,
coll(sK21,sK21,sK24),
inference(superposition,[status(thm)],[c_7021,c_7129]) ).
cnf(c_7471,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK24,X0,sK21) ),
inference(superposition,[status(thm)],[c_7469,c_51]) ).
cnf(c_7474,plain,
( ~ coll(sK21,sK21,sK20)
| coll(sK24,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_7471]) ).
cnf(c_7477,plain,
( ~ coll(sK25,sK24,sK20)
| coll(sK25,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_7492,plain,
( ~ coll(X0,X0,X1)
| ~ midp(X0,X1,X0)
| midp(X0,X0,X1) ),
inference(superposition,[status(thm)],[c_7092,c_116]) ).
cnf(c_7493,plain,
( ~ coll(X0,X1,X0)
| ~ midp(X0,X0,X1)
| midp(X0,X1,X0) ),
inference(superposition,[status(thm)],[c_7096,c_116]) ).
cnf(c_7496,plain,
( ~ coll(X0,X1,X1)
| ~ midp(X1,X0,X0)
| midp(X0,X1,X1) ),
inference(superposition,[status(thm)],[c_7107,c_116]) ).
cnf(c_7499,plain,
( ~ coll(sK23,sK22,sK20)
| coll(sK23,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_7515,plain,
( ~ coll(sK21,sK24,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_7359,c_51]) ).
cnf(c_7603,plain,
( ~ coll(sK23,sK21,sK29)
| perp(sK21,sK27,sK27,sK29) ),
inference(superposition,[status(thm)],[c_164,c_102]) ).
cnf(c_7604,plain,
( ~ coll(sK25,sK20,sK28)
| perp(sK20,sK26,sK26,sK28) ),
inference(superposition,[status(thm)],[c_166,c_102]) ).
cnf(c_7605,plain,
( ~ coll(sK25,sK20,sK24)
| perp(sK20,sK21,sK21,sK24) ),
inference(superposition,[status(thm)],[c_167,c_102]) ).
cnf(c_7606,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_168,c_102]) ).
cnf(c_7658,plain,
( ~ perp(sK27,sK29,X0,X1)
| ~ coll(sK23,sK21,sK29)
| para(sK21,sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_7603,c_57]) ).
cnf(c_7660,plain,
( ~ coll(sK23,sK21,sK29)
| perp(sK27,sK29,sK21,sK27) ),
inference(superposition,[status(thm)],[c_7603,c_56]) ).
cnf(c_7662,plain,
( ~ midp(X0,sK21,sK29)
| ~ coll(sK23,sK21,sK29)
| cong(sK21,X0,sK27,X0) ),
inference(superposition,[status(thm)],[c_7603,c_101]) ).
cnf(c_7668,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_7671,plain,
coll(sK21,sK27,sK24),
inference(superposition,[status(thm)],[c_163,c_50]) ).
cnf(c_7672,plain,
coll(sK20,sK26,sK22),
inference(superposition,[status(thm)],[c_165,c_50]) ).
cnf(c_7719,plain,
coll(sK21,sK24,sK21),
inference(superposition,[status(thm)],[c_7671,c_7296]) ).
cnf(c_7744,plain,
( ~ coll(sK25,sK20,sK24)
| perp(sK20,sK21,sK24,sK21) ),
inference(superposition,[status(thm)],[c_7605,c_55]) ).
cnf(c_7746,plain,
( ~ coll(sK23,sK21,sK29)
| perp(sK27,sK29,sK27,sK21) ),
inference(superposition,[status(thm)],[c_7660,c_55]) ).
cnf(c_7750,plain,
( ~ coll(sK25,sK20,sK28)
| perp(sK26,sK28,sK20,sK26) ),
inference(superposition,[status(thm)],[c_7604,c_56]) ).
cnf(c_7751,plain,
( ~ coll(sK25,sK20,sK24)
| perp(sK21,sK24,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7605,c_56]) ).
cnf(c_7752,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7606,c_56]) ).
cnf(c_7790,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7752,c_55]) ).
cnf(c_7797,plain,
( ~ coll(sK23,sK21,sK29)
| para(sK21,sK27,sK21,sK27) ),
inference(superposition,[status(thm)],[c_7660,c_7658]) ).
cnf(c_7845,plain,
( ~ coll(sK23,sK21,sK29)
| para(sK21,sK27,sK27,sK21) ),
inference(superposition,[status(thm)],[c_7746,c_7658]) ).
cnf(c_7860,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_7668,c_51]) ).
cnf(c_7862,plain,
( ~ coll(sK20,sK26,X0)
| coll(sK22,X0,sK20) ),
inference(superposition,[status(thm)],[c_7672,c_51]) ).
cnf(c_7922,plain,
( ~ perp(sK11(sK20,sK26,sK28,sK25),sK20,sK25,sK20)
| perp(sK25,sK20,sK11(sK20,sK26,sK28,sK25),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_7927,plain,
( ~ perp(X0,X1,sK11(sK20,sK26,sK28,sK25),sK20)
| ~ perp(sK11(sK20,sK26,sK28,sK25),sK20,sK25,sK20)
| para(X0,X1,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_7961,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_7668,c_7860]) ).
cnf(c_7964,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_7961,c_49]) ).
cnf(c_8004,plain,
coll(sK21,sK21,sK21),
inference(superposition,[status(thm)],[c_7719,c_7515]) ).
cnf(c_8051,plain,
coll(sK22,sK20,sK20),
inference(superposition,[status(thm)],[c_7964,c_7862]) ).
cnf(c_8060,plain,
( ~ coll(sK21,sK21,X0)
| coll(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_8004,c_51]) ).
cnf(c_8064,plain,
( ~ coll(sK21,sK21,sK20)
| coll(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_8060]) ).
cnf(c_8083,plain,
coll(sK27,sK24,sK21),
inference(resolution,[status(thm)],[c_49,c_163]) ).
cnf(c_8129,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_7606,c_101]) ).
cnf(c_8168,plain,
coll(sK24,sK27,sK21),
inference(resolution,[status(thm)],[c_50,c_8083]) ).
cnf(c_8174,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| cong(sK20,X0,X0,sK21) ),
inference(superposition,[status(thm)],[c_8129,c_71]) ).
cnf(c_8252,plain,
( ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20)
| perp(sK23,sK20,sK11(sK20,sK21,sK22,sK23),sK20) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_8257,plain,
( ~ perp(X0,X1,sK11(sK20,sK21,sK22,sK23),sK20)
| ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20)
| para(X0,X1,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_8270,plain,
coll(sK24,sK21,sK27),
inference(resolution,[status(thm)],[c_8168,c_49]) ).
cnf(c_8340,plain,
( ~ coll(sK24,sK21,X0)
| coll(X0,sK27,sK24) ),
inference(resolution,[status(thm)],[c_51,c_8270]) ).
cnf(c_8341,plain,
( ~ coll(sK24,sK21,sK20)
| coll(sK20,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_8340]) ).
cnf(c_8363,plain,
( ~ perp(sK26,sK28,X0,X1)
| ~ coll(sK25,sK20,sK28)
| para(sK20,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_7604,c_57]) ).
cnf(c_8365,plain,
( ~ perp(sK21,sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7606,c_57]) ).
cnf(c_8373,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ coll(sK25,sK20,sK24)
| para(sK21,sK24,X0,X1) ),
inference(superposition,[status(thm)],[c_7751,c_57]) ).
cnf(c_8380,plain,
( ~ perp(sK20,sK21,sK20,sK20)
| ~ coll(sK25,sK20,sK24)
| para(sK21,sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8373]) ).
cnf(c_8395,plain,
( ~ coll(sK27,X0,sK21)
| coll(sK27,sK21,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_8396,plain,
( ~ coll(sK27,sK20,sK21)
| coll(sK27,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_8395]) ).
cnf(c_8502,plain,
( ~ coll(sK25,sK20,sK28)
| para(sK20,sK26,sK20,sK26) ),
inference(superposition,[status(thm)],[c_7750,c_8363]) ).
cnf(c_8523,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7752,c_8365]) ).
cnf(c_8549,plain,
( ~ perp(sK11(sK20,sK26,sK28,sK25),sK20,sK20,sK25)
| ~ perp(sK20,sK25,sK11(sK20,sK26,sK28,sK25),sK20)
| para(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_6988]) ).
cnf(c_8770,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_7790,c_8365]) ).
cnf(c_8804,plain,
( ~ para(sK27,sK21,X0,X1)
| ~ coll(sK23,sK21,sK29)
| para(sK21,sK27,X0,X1) ),
inference(superposition,[status(thm)],[c_7845,c_54]) ).
cnf(c_8807,plain,
( ~ para(sK27,sK21,sK20,sK20)
| ~ coll(sK23,sK21,sK29)
| para(sK21,sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_8804]) ).
cnf(c_8890,plain,
( ~ midp(sK20,sK22,sK22)
| midp(sK22,sK20,sK20) ),
inference(superposition,[status(thm)],[c_8051,c_7496]) ).
cnf(c_9121,plain,
( ~ para(sK21,sK20,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_8770,c_54]) ).
cnf(c_9124,plain,
( ~ para(sK21,sK20,sK20,sK20)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_9121]) ).
cnf(c_10116,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| cong(X0,sK21,sK20,X0) ),
inference(superposition,[status(thm)],[c_8174,c_72]) ).
cnf(c_10120,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK20,sK22)
| cong(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_10116]) ).
cnf(c_10421,plain,
( ~ coll(sK23,sK21,sK29)
| para(sK21,sK27,sK21,sK27) ),
inference(superposition,[status(thm)],[c_7660,c_7658]) ).
cnf(c_10433,plain,
( ~ coll(sK25,sK20,sK28)
| perp(sK26,sK28,sK20,sK26) ),
inference(superposition,[status(thm)],[c_7604,c_56]) ).
cnf(c_10435,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7606,c_56]) ).
cnf(c_10471,plain,
( ~ coll(sK25,sK20,sK28)
| perp(sK26,sK28,sK26,sK20) ),
inference(superposition,[status(thm)],[c_10433,c_55]) ).
cnf(c_10479,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_10435,c_55]) ).
cnf(c_10635,plain,
( ~ perp(sK26,sK28,X0,X1)
| ~ coll(sK25,sK20,sK28)
| para(sK20,sK26,X0,X1) ),
inference(superposition,[status(thm)],[c_7604,c_57]) ).
cnf(c_10637,plain,
( ~ perp(sK21,sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7606,c_57]) ).
cnf(c_10645,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_10435,c_57]) ).
cnf(c_10789,plain,
( ~ coll(sK25,sK20,sK28)
| para(sK20,sK26,sK20,sK26) ),
inference(superposition,[status(thm)],[c_10433,c_10635]) ).
cnf(c_10797,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_10435,c_10637]) ).
cnf(c_11110,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_11114,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ coll(sK20,sK20,sK20)
| cyclic(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_11110]) ).
cnf(c_11179,plain,
( ~ coll(sK25,sK20,sK28)
| para(sK20,sK26,sK26,sK20) ),
inference(superposition,[status(thm)],[c_10471,c_10635]) ).
cnf(c_11193,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_10479,c_10637]) ).
cnf(c_11214,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK20,X0,sK20)
| ~ coll(sK23,sK20,sK22)
| midp(sK21,X0,sK21) ),
inference(superposition,[status(thm)],[c_10797,c_94]) ).
cnf(c_11220,plain,
( ~ coll(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_11214]) ).
cnf(c_11517,plain,
( ~ coll(sK21,X0,X1)
| ~ coll(sK21,X0,X2)
| coll(X1,X2,sK21) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_11518,plain,
( ~ coll(sK21,sK20,sK20)
| coll(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_11517]) ).
cnf(c_11663,plain,
( ~ coll(sK25,sK20,sK28)
| para(sK26,sK20,sK20,sK26) ),
inference(superposition,[status(thm)],[c_11179,c_53]) ).
cnf(c_11810,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_11193,c_53]) ).
cnf(c_12261,plain,
( ~ coll(sK20,X0,sK26)
| ~ midp(sK26,X0,sK20)
| ~ coll(sK25,sK20,sK28)
| midp(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_11663,c_94]) ).
cnf(c_12268,plain,
( ~ coll(sK20,sK20,sK26)
| ~ coll(sK25,sK20,sK28)
| ~ midp(sK26,sK20,sK20)
| midp(sK20,sK20,sK26) ),
inference(instantiation,[status(thm)],[c_12261]) ).
cnf(c_12491,plain,
( ~ circle(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| eqangle(sK21,sK22,sK21,X0,X1,sK21,X1,X0) ),
inference(superposition,[status(thm)],[c_7606,c_97]) ).
cnf(c_12581,plain,
( ~ coll(sK20,X0,sK21)
| ~ midp(sK21,X0,sK20)
| ~ coll(sK23,sK20,sK22)
| midp(sK20,X0,sK21) ),
inference(superposition,[status(thm)],[c_11810,c_94]) ).
cnf(c_12588,plain,
( ~ coll(sK23,sK20,sK22)
| ~ coll(sK20,sK20,sK21)
| ~ midp(sK21,sK20,sK20)
| midp(sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_12581]) ).
cnf(c_12712,plain,
( ~ circle(sK20,sK21,X0,sK21)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_12491,c_87]) ).
cnf(c_12714,plain,
( ~ circle(sK20,sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_12712]) ).
cnf(c_12750,plain,
( ~ para(sK20,sK25,sK20,sK25)
| para(sK20,sK25,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_12884,plain,
( ~ para(sK21,sK27,sK21,sK27)
| ~ midp(X0,sK21,sK21)
| ~ coll(sK23,sK21,sK29)
| midp(X0,sK27,sK27) ),
inference(superposition,[status(thm)],[c_10421,c_113]) ).
cnf(c_12885,plain,
( ~ para(sK20,sK26,sK20,sK26)
| ~ midp(X0,sK20,sK20)
| ~ coll(sK25,sK20,sK28)
| midp(X0,sK26,sK26) ),
inference(superposition,[status(thm)],[c_10789,c_113]) ).
cnf(c_12886,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ midp(X0,sK20,sK20)
| ~ coll(sK23,sK20,sK22)
| midp(X0,sK21,sK21) ),
inference(superposition,[status(thm)],[c_10797,c_113]) ).
cnf(c_12901,plain,
( ~ para(sK20,sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK21,sK21) ),
inference(instantiation,[status(thm)],[c_12886]) ).
cnf(c_12902,plain,
( ~ para(sK20,sK26,sK20,sK26)
| ~ coll(sK25,sK20,sK28)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK26,sK26) ),
inference(instantiation,[status(thm)],[c_12885]) ).
cnf(c_12903,plain,
( ~ para(sK21,sK27,sK21,sK27)
| ~ coll(sK23,sK21,sK29)
| ~ midp(sK20,sK21,sK21)
| midp(sK20,sK27,sK27) ),
inference(instantiation,[status(thm)],[c_12884]) ).
cnf(c_14137,plain,
( ~ perp(sK11(sK20,sK26,sK28,sK25),sK20,sK25,sK20)
| ~ perp(sK25,sK20,sK11(sK20,sK26,sK28,sK25),sK20)
| para(sK25,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_7927]) ).
cnf(c_14228,plain,
( ~ perp(sK11(sK20,sK21,sK22,sK23),sK20,sK23,sK20)
| ~ perp(sK23,sK20,sK11(sK20,sK21,sK22,sK23),sK20)
| para(sK23,sK20,sK23,sK20) ),
inference(instantiation,[status(thm)],[c_8257]) ).
cnf(c_14310,plain,
( ~ perp(sK25,sK20,sK20,X0)
| eqangle(sK20,X0,sK20,sK26,sK28,sK20,sK28,sK26) ),
inference(resolution,[status(thm)],[c_97,c_166]) ).
cnf(c_14311,plain,
( ~ perp(sK25,sK20,sK20,X0)
| eqangle(sK20,X0,sK20,sK21,sK24,sK20,sK24,sK21) ),
inference(resolution,[status(thm)],[c_97,c_167]) ).
cnf(c_14432,plain,
( ~ coll(sK24,X0,X1)
| ~ coll(sK24,X0,X2)
| coll(X1,X2,sK24) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_14433,plain,
( ~ coll(sK24,sK20,sK20)
| coll(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_14432]) ).
cnf(c_14648,plain,
( ~ coll(sK23,X0,X1)
| ~ coll(sK23,X0,X2)
| coll(X1,X2,sK23) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_14649,plain,
( ~ coll(sK23,sK20,sK20)
| coll(sK20,sK20,sK23) ),
inference(instantiation,[status(thm)],[c_14648]) ).
cnf(c_14721,plain,
( ~ coll(sK25,X0,X1)
| ~ coll(sK25,X0,X2)
| coll(X1,X2,sK25) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_14722,plain,
( ~ coll(sK25,sK20,sK20)
| coll(sK20,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_14721]) ).
cnf(c_15074,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK21,sK22) ),
inference(superposition,[status(thm)],[c_7606,c_10645]) ).
cnf(c_15091,plain,
( ~ para(sK21,sK22,sK21,sK22)
| ~ midp(X0,sK21,sK21)
| ~ coll(sK23,sK20,sK22)
| midp(X0,sK22,sK22) ),
inference(superposition,[status(thm)],[c_15074,c_113]) ).
cnf(c_15101,plain,
( ~ para(sK21,sK22,sK21,sK22)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK21,sK21)
| midp(sK20,sK22,sK22) ),
inference(instantiation,[status(thm)],[c_15091]) ).
cnf(c_15235,plain,
( ~ perp(sK25,sK20,sK20,X0)
| eqangle(sK20,X0,sK28,sK20,sK20,sK26,sK28,sK26) ),
inference(resolution,[status(thm)],[c_69,c_14310]) ).
cnf(c_15237,plain,
( ~ perp(sK25,sK20,sK20,X0)
| eqangle(sK20,X0,sK24,sK20,sK20,sK21,sK24,sK21) ),
inference(resolution,[status(thm)],[c_69,c_14311]) ).
cnf(c_16474,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7606,c_55]) ).
cnf(c_16660,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| cong(sK20,X0,sK21,X0) ),
inference(superposition,[status(thm)],[c_7606,c_101]) ).
cnf(c_16711,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| cong(sK20,X0,X0,sK21) ),
inference(superposition,[status(thm)],[c_16660,c_71]) ).
cnf(c_16727,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK22,sK21)
| cong(sK20,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_16474,c_104]) ).
cnf(c_16809,plain,
( ~ cong(X0,X1,X0,X2)
| ~ midp(X0,X1,X3)
| circle(X0,X1,X2,X3) ),
inference(superposition,[status(thm)],[c_117,c_60]) ).
cnf(c_17536,plain,
( ~ circle(sK20,sK21,X0,X1)
| ~ coll(sK25,sK20,sK24)
| eqangle(sK21,sK24,sK21,X0,X1,sK21,X1,X0) ),
inference(superposition,[status(thm)],[c_7605,c_97]) ).
cnf(c_17633,plain,
( ~ circle(sK20,sK21,X0,X1)
| ~ coll(sK25,sK20,sK24)
| eqangle(sK21,X0,sK21,sK24,X1,X0,X1,sK21) ),
inference(superposition,[status(thm)],[c_17536,c_67]) ).
cnf(c_17652,plain,
( ~ midp(X0,sK20,sK22)
| ~ coll(sK23,sK20,sK22)
| cong(X0,sK21,sK20,X0) ),
inference(superposition,[status(thm)],[c_16711,c_72]) ).
cnf(c_17819,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK21,sK22,sK21)
| cong(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_16727,c_72]) ).
cnf(c_18457,plain,
( ~ midp(sK20,sK21,X0)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK20,sK22)
| circle(sK20,sK21,sK20,X0) ),
inference(superposition,[status(thm)],[c_17652,c_16809]) ).
cnf(c_18468,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK21,sK20)
| ~ midp(sK20,sK20,sK22)
| circle(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_18457]) ).
cnf(c_19719,plain,
( ~ perp(sK25,sK20,sK20,X0)
| ~ perp(sK20,sK26,sK28,sK26)
| perp(sK20,X0,sK28,sK20) ),
inference(resolution,[status(thm)],[c_123,c_15235]) ).
cnf(c_19720,plain,
( ~ perp(sK20,sK26,sK28,sK26)
| ~ perp(sK25,sK20,sK20,sK20)
| perp(sK20,sK20,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_19719]) ).
cnf(c_19721,plain,
( ~ perp(sK25,sK20,sK20,X0)
| ~ perp(sK20,sK21,sK24,sK21)
| perp(sK20,X0,sK24,sK20) ),
inference(resolution,[status(thm)],[c_123,c_15237]) ).
cnf(c_19722,plain,
( ~ perp(sK20,sK21,sK24,sK21)
| ~ perp(sK25,sK20,sK20,sK20)
| perp(sK20,sK20,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_19721]) ).
cnf(c_19905,plain,
( ~ perp(X0,sK22,sK20,X0)
| perp(sK20,X0,X0,sK22) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_19906,plain,
( ~ perp(sK20,sK22,sK20,sK20)
| perp(sK20,sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_19905]) ).
cnf(c_20151,plain,
( ~ para(sK23,X0,sK23,X1)
| coll(sK23,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_20152,plain,
( ~ para(sK23,sK20,sK23,sK20)
| coll(sK23,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20151]) ).
cnf(c_20153,plain,
( ~ para(sK25,X0,sK25,X1)
| coll(sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_20154,plain,
( ~ para(sK25,sK20,sK25,sK20)
| coll(sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_20153]) ).
cnf(c_20172,plain,
( ~ para(sK20,sK25,sK20,sK28)
| coll(sK20,sK25,sK28) ),
inference(instantiation,[status(thm)],[c_115]) ).
cnf(c_21440,plain,
( ~ coll(sK23,sK20,sK22)
| ~ coll(sK20,sK21,sK22)
| ~ midp(sK21,sK22,sK21)
| midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_17819,c_116]) ).
cnf(c_24253,plain,
( ~ perp(sK16(sK11(sK21,sK27,sK29,sK23),sK23,sK21,X0,X1),sK11(sK21,sK27,sK29,sK23),X0,X1)
| perp(X0,X1,sK16(sK11(sK21,sK27,sK29,sK23),sK23,sK21,X0,X1),sK11(sK21,sK27,sK29,sK23)) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_24255,plain,
( ~ perp(sK16(sK11(sK21,sK27,sK29,sK23),sK23,sK21,sK20,sK20),sK11(sK21,sK27,sK29,sK23),sK20,sK20)
| perp(sK20,sK20,sK16(sK11(sK21,sK27,sK29,sK23),sK23,sK21,sK20,sK20),sK11(sK21,sK27,sK29,sK23)) ),
inference(instantiation,[status(thm)],[c_24253]) ).
cnf(c_24491,plain,
( ~ para(X0,X1,X0,X2)
| ~ cyclic(X1,X3,X0,X0)
| ~ cyclic(X1,X3,X0,X2)
| ~ cyclic(X1,X3,X0,X3)
| cong(X1,X3,X2,X3) ),
inference(superposition,[status(thm)],[c_88,c_92]) ).
cnf(c_24505,plain,
( ~ para(sK20,sK20,sK20,sK20)
| ~ cyclic(sK20,sK20,sK20,sK20)
| cong(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_24491]) ).
cnf(c_25827,plain,
( ~ para(X0,X1,X0,sK21)
| ~ circle(sK20,sK21,X1,X0)
| ~ coll(sK25,sK20,sK24)
| para(sK21,X1,sK21,sK24) ),
inference(superposition,[status(thm)],[c_17633,c_122]) ).
cnf(c_25836,plain,
( ~ para(sK20,sK20,sK20,sK21)
| ~ circle(sK20,sK21,sK20,sK20)
| ~ coll(sK25,sK20,sK24)
| para(sK21,sK20,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_25827]) ).
cnf(c_25944,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_26017,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7606,c_55]) ).
cnf(c_26024,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7606,c_56]) ).
cnf(c_26065,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_26024,c_55]) ).
cnf(c_26088,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_25944,c_51]) ).
cnf(c_26169,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_25944,c_26088]) ).
cnf(c_26172,plain,
coll(sK20,sK26,sK20),
inference(superposition,[status(thm)],[c_26169,c_49]) ).
cnf(c_26277,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| cong(sK21,sK20,sK21,sK21) ),
inference(superposition,[status(thm)],[c_26024,c_104]) ).
cnf(c_26295,plain,
coll(sK26,sK20,sK20),
inference(superposition,[status(thm)],[c_26172,c_50]) ).
cnf(c_26343,plain,
( ~ perp(sK21,sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7606,c_57]) ).
cnf(c_26351,plain,
( ~ perp(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_26024,c_57]) ).
cnf(c_26489,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_26527,plain,
( ~ para(X0,X1,X0,X1)
| para(X2,X3,X2,X3) ),
inference(superposition,[status(thm)],[c_26489,c_87]) ).
cnf(c_26671,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_26065,c_26343]) ).
cnf(c_26800,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26671,c_53]) ).
cnf(c_27002,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK20,sK21,sK20) ),
inference(superposition,[status(thm)],[c_26800,c_52]) ).
cnf(c_27022,plain,
( ~ coll(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK22,sK20,sK21)
| midp(sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_26277,c_116]) ).
cnf(c_27605,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK22,sK22,sK21) ),
inference(superposition,[status(thm)],[c_26017,c_26351]) ).
cnf(c_27612,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK22,sK21,sK21,sK22) ),
inference(superposition,[status(thm)],[c_27605,c_53]) ).
cnf(c_29741,plain,
( ~ perp(sK16(sK11(sK21,sK27,sK29,sK23),sK23,sK21,X0,X1),sK11(sK21,sK27,sK29,sK23),X0,X1)
| ~ perp(X2,X3,sK16(sK11(sK21,sK27,sK29,sK23),sK23,sK21,X0,X1),sK11(sK21,sK27,sK29,sK23))
| para(X2,X3,X0,X1) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_29742,plain,
( ~ perp(sK16(sK11(sK21,sK27,sK29,sK23),sK23,sK21,sK20,sK20),sK11(sK21,sK27,sK29,sK23),sK20,sK20)
| ~ perp(sK20,sK20,sK16(sK11(sK21,sK27,sK29,sK23),sK23,sK21,sK20,sK20),sK11(sK21,sK27,sK29,sK23))
| para(sK20,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29741]) ).
cnf(c_29969,plain,
( ~ perp(sK25,sK20,X0,X1)
| ~ para(sK20,sK25,sK25,sK20)
| perp(sK20,sK25,X0,X1) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_29970,plain,
( ~ para(sK20,sK25,sK25,sK20)
| ~ perp(sK25,sK20,sK20,sK20)
| perp(sK20,sK25,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_29969]) ).
cnf(c_31964,plain,
( ~ para(sK20,sK25,sK28,sK20)
| para(sK20,sK25,sK20,sK28) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_33429,plain,
( ~ para(X0,sK22,X1,X2)
| ~ perp(X1,X2,sK20,X0)
| perp(X0,sK22,sK20,X0) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_33430,plain,
( ~ para(sK20,sK22,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_33429]) ).
cnf(c_37326,plain,
( ~ coll(sK23,sK20,sK22)
| coll(sK21,sK20,sK20) ),
inference(superposition,[status(thm)],[c_27002,c_115]) ).
cnf(c_40031,plain,
( ~ cong(X0,sK20,X1,sK20)
| ~ cong(X0,sK25,X1,sK25)
| perp(X0,X1,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_40032,plain,
( ~ cong(sK20,sK20,sK20,sK20)
| ~ cong(sK20,sK25,sK20,sK25)
| perp(sK20,sK20,sK25,sK20) ),
inference(instantiation,[status(thm)],[c_40031]) ).
cnf(c_40591,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK22,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_27612,c_52]) ).
cnf(c_41099,plain,
( ~ midp(X0,sK27,sK24)
| midp(X0,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_41100,plain,
( ~ midp(sK20,sK27,sK24)
| midp(sK20,sK24,sK27) ),
inference(instantiation,[status(thm)],[c_41099]) ).
cnf(c_42604,plain,
( ~ coll(sK23,sK20,sK22)
| para(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_40591,c_26527]) ).
cnf(c_43611,plain,
( ~ midp(sK20,sK26,sK26)
| midp(sK26,sK20,sK20) ),
inference(superposition,[status(thm)],[c_26295,c_7496]) ).
cnf(c_45126,plain,
( ~ coll(sK23,sK20,sK22)
| ~ coll(sK21,sK20,sK21)
| midp(sK21,sK20,sK21) ),
inference(global_subsumption_just,[status(thm)],[c_27022,c_174,c_2208,c_2454,c_6969,c_7144,c_7247,c_7304,c_8252,c_11114,c_11220,c_14228,c_20152,c_24255,c_24505,c_29742]) ).
cnf(c_45127,plain,
( ~ coll(sK21,sK20,sK21)
| ~ coll(sK23,sK20,sK22)
| midp(sK21,sK20,sK21) ),
inference(renaming,[status(thm)],[c_45126]) ).
cnf(c_45426,plain,
( ~ midp(sK20,sK25,sK25)
| cong(sK20,sK25,sK20,sK25) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_47998,plain,
( ~ para(X0,X1,X2,sK24)
| ~ midp(X0,X3,X2)
| ~ coll(X1,X3,sK24)
| midp(X1,X3,sK24) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_47999,plain,
( ~ para(sK20,sK20,sK20,sK24)
| ~ coll(sK20,sK20,sK24)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_47998]) ).
cnf(c_49377,plain,
coll(sK26,sK22,sK20),
inference(superposition,[status(thm)],[c_165,c_49]) ).
cnf(c_49450,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK20,sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_7606,c_55]) ).
cnf(c_49457,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK20,sK21) ),
inference(superposition,[status(thm)],[c_7606,c_56]) ).
cnf(c_49485,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK22,sK21,sK20,sK21) ),
inference(superposition,[status(thm)],[c_49450,c_56]) ).
cnf(c_49498,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK22,sK21,sK20) ),
inference(superposition,[status(thm)],[c_49457,c_55]) ).
cnf(c_49512,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X0,X1) ),
inference(superposition,[status(thm)],[c_117,c_72]) ).
cnf(c_49521,plain,
( ~ coll(sK26,sK22,X0)
| coll(sK20,X0,sK26) ),
inference(superposition,[status(thm)],[c_49377,c_51]) ).
cnf(c_49597,plain,
coll(sK20,sK20,sK26),
inference(superposition,[status(thm)],[c_49377,c_49521]) ).
cnf(c_49681,plain,
( ~ midp(X0,sK20,sK28)
| ~ coll(sK25,sK20,sK28)
| cong(sK20,X0,sK26,X0) ),
inference(superposition,[status(thm)],[c_7604,c_101]) ).
cnf(c_49729,plain,
( ~ midp(X0,sK20,sK28)
| ~ coll(sK25,sK20,sK28)
| cong(sK20,X0,X0,sK26) ),
inference(superposition,[status(thm)],[c_49681,c_71]) ).
cnf(c_49771,plain,
( ~ perp(sK21,sK22,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,X0,X1) ),
inference(superposition,[status(thm)],[c_7606,c_57]) ).
cnf(c_50024,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK22,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_49485,c_55]) ).
cnf(c_50106,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK20,sK21,sK21,sK20) ),
inference(superposition,[status(thm)],[c_49498,c_49771]) ).
cnf(c_50144,plain,
( ~ coll(sK23,sK20,sK22)
| para(sK21,sK20,sK20,sK21) ),
inference(superposition,[status(thm)],[c_50106,c_53]) ).
cnf(c_50516,plain,
( ~ coll(sK20,sK20,sK26)
| ~ coll(sK25,sK20,sK28)
| ~ midp(sK20,sK20,sK28)
| midp(sK20,sK20,sK26) ),
inference(superposition,[status(thm)],[c_49729,c_116]) ).
cnf(c_50523,plain,
( ~ coll(sK25,sK20,sK28)
| ~ midp(sK20,sK20,sK28)
| midp(sK20,sK20,sK26) ),
inference(forward_subsumption_resolution,[status(thm)],[c_50516,c_49597]) ).
cnf(c_50524,plain,
( ~ coll(sK25,sK20,sK28)
| midp(sK20,sK20,sK26) ),
inference(global_subsumption_just,[status(thm)],[c_50523,c_165,c_174,c_2208,c_2454,c_6878,c_6917,c_6969,c_7144,c_7247,c_7304,c_8252,c_8502,c_11114,c_12268,c_12902,c_14228,c_20152,c_24255,c_24505,c_29742,c_43611]) ).
cnf(c_54058,plain,
( ~ midp(X0,X1,X2)
| cong(X0,X2,X1,X0) ),
inference(superposition,[status(thm)],[c_49512,c_71]) ).
cnf(c_54391,plain,
( ~ coll(sK23,sK20,sK22)
| perp(sK21,sK20,sK22,sK21) ),
inference(superposition,[status(thm)],[c_50024,c_56]) ).
cnf(c_54948,plain,
( ~ para(sK20,sK21,X0,X1)
| ~ coll(sK23,sK20,sK22)
| para(sK21,sK20,X0,X1) ),
inference(superposition,[status(thm)],[c_50144,c_54]) ).
cnf(c_55230,plain,
( ~ midp(X0,X1,X2)
| cong(X1,X0,X0,X2) ),
inference(superposition,[status(thm)],[c_54058,c_72]) ).
cnf(c_55846,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK22,sK21)
| cong(sK21,sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_54391,c_104]) ).
cnf(c_55883,plain,
( ~ coll(sK21,sK22,sK21)
| ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK22,sK21)
| midp(sK21,sK22,sK21) ),
inference(superposition,[status(thm)],[c_55846,c_116]) ).
cnf(c_57553,plain,
( ~ midp(X0,X0,X1)
| para(X0,X0,X0,X1) ),
inference(superposition,[status(thm)],[c_55230,c_7391]) ).
cnf(c_57965,plain,
( ~ para(X0,X1,X2,sK22)
| ~ para(X0,sK22,X2,X1)
| ~ midp(sK20,X0,X2)
| midp(sK20,X1,sK22) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_57966,plain,
( ~ para(sK20,sK22,sK20,sK20)
| ~ para(sK20,sK20,sK20,sK22)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK20,sK22) ),
inference(instantiation,[status(thm)],[c_57965]) ).
cnf(c_57995,plain,
( ~ para(X0,sK25,X1,sK25)
| ~ midp(X2,X0,X1)
| midp(X2,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_113]) ).
cnf(c_57996,plain,
( ~ para(sK20,sK25,sK20,sK25)
| ~ midp(sK20,sK20,sK20)
| midp(sK20,sK25,sK25) ),
inference(instantiation,[status(thm)],[c_57995]) ).
cnf(c_58054,plain,
( ~ midp(X0,X0,X1)
| para(X0,X1,X0,X0) ),
inference(superposition,[status(thm)],[c_57553,c_53]) ).
cnf(c_59275,plain,
( ~ perp(X0,X1,sK27,X2)
| ~ para(sK21,sK27,X0,X1)
| perp(sK21,sK27,sK27,X2) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_59276,plain,
( ~ para(sK21,sK27,sK20,sK20)
| ~ perp(sK20,sK20,sK27,sK20)
| perp(sK21,sK27,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_59275]) ).
cnf(c_60364,plain,
( ~ coll(sK23,sK20,sK22)
| ~ midp(sK20,sK20,sK21)
| para(sK21,sK20,sK20,sK20) ),
inference(superposition,[status(thm)],[c_58054,c_54948]) ).
cnf(c_71088,plain,
( ~ midp(X0,X1,X0)
| ~ midp(X2,X1,sK21)
| para(X0,X2,X0,sK21) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_71089,plain,
( ~ midp(sK20,sK20,sK21)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_71088]) ).
cnf(c_74670,plain,
( ~ midp(X0,X1,sK26)
| ~ midp(X2,X1,sK24)
| para(X0,X2,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_74671,plain,
( ~ midp(sK20,sK20,sK26)
| ~ midp(sK20,sK20,sK24)
| para(sK20,sK20,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_74670]) ).
cnf(c_74794,plain,
( ~ midp(X0,X1,sK21)
| midp(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_74795,plain,
( ~ midp(sK20,sK20,sK21)
| midp(sK20,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_74794]) ).
cnf(c_75560,plain,
( ~ coll(sK24,X0,sK21)
| coll(sK24,sK21,X0) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_75561,plain,
( ~ coll(sK24,sK20,sK21)
| coll(sK24,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_75560]) ).
cnf(c_75644,plain,
( ~ coll(X0,X1,sK21)
| coll(sK21,sK21,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_75645,plain,
( ~ coll(sK20,sK20,sK21)
| coll(sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_75644]) ).
cnf(c_75652,plain,
( ~ para(X0,X1,sK26,sK24)
| ~ para(sK22,sK27,X0,X1)
| para(sK22,sK27,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_75999,plain,
( ~ para(X0,X1,X2,sK24)
| ~ midp(X0,sK27,X2)
| ~ coll(X1,sK27,sK24)
| midp(X1,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_94]) ).
cnf(c_76015,plain,
( ~ para(X0,X1,sK22,sK27)
| para(sK22,sK27,X0,X1) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_76080,plain,
( ~ coll(sK20,X0,sK24)
| ~ coll(sK20,X0,sK25)
| coll(sK25,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_76081,plain,
( ~ coll(sK20,sK20,sK24)
| ~ coll(sK20,sK20,sK25)
| coll(sK25,sK24,sK20) ),
inference(instantiation,[status(thm)],[c_76080]) ).
cnf(c_76091,plain,
( ~ coll(sK20,X0,sK22)
| ~ coll(sK20,X0,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_76092,plain,
( ~ coll(sK20,sK20,sK22)
| ~ coll(sK20,sK20,sK23)
| coll(sK23,sK22,sK20) ),
inference(instantiation,[status(thm)],[c_76091]) ).
cnf(c_76438,plain,
( ~ coll(sK27,X0,X0)
| ~ midp(X0,sK27,sK27)
| midp(sK27,X0,X0) ),
inference(instantiation,[status(thm)],[c_7496]) ).
cnf(c_76439,plain,
( ~ coll(sK27,sK20,sK20)
| ~ midp(sK20,sK27,sK27)
| midp(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_76438]) ).
cnf(c_76690,plain,
( ~ midp(X0,sK27,sK27)
| cong(X0,sK27,X0,sK27) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_76691,plain,
( ~ midp(sK20,sK27,sK27)
| cong(sK20,sK27,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_76690]) ).
cnf(c_76913,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK24)
| coll(sK24,X2,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_76959,plain,
( ~ coll(X0,X1,X2)
| ~ coll(X0,X1,sK27)
| coll(sK27,X2,X0) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_76960,plain,
( ~ coll(sK20,sK20,sK27)
| ~ coll(sK20,sK20,sK20)
| coll(sK27,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_76959]) ).
cnf(c_77858,plain,
( ~ midp(X0,sK21,sK21)
| cong(X0,sK21,X0,sK21) ),
inference(instantiation,[status(thm)],[c_117]) ).
cnf(c_77859,plain,
( ~ midp(sK20,sK21,sK21)
| cong(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_77858]) ).
cnf(c_80028,plain,
( ~ cong(X0,sK21,sK27,X0)
| cong(X0,sK21,X0,sK27) ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_80765,plain,
( ~ perp(X0,X1,sK25,sK20)
| perp(sK25,sK20,X0,X1) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_80766,plain,
( ~ perp(sK20,sK20,sK25,sK20)
| perp(sK25,sK20,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_80765]) ).
cnf(c_81197,plain,
( ~ para(X0,X1,X2,X3)
| ~ para(sK21,sK24,X0,X1)
| para(sK21,sK24,X2,X3) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_81202,plain,
( ~ midp(X0,sK24,X1)
| ~ midp(X0,sK21,X2)
| para(sK21,sK24,X2,X1) ),
inference(instantiation,[status(thm)],[c_112]) ).
cnf(c_84743,plain,
( ~ coll(sK21,X0,sK21)
| ~ midp(sK21,sK21,X0)
| midp(sK21,X0,sK21) ),
inference(instantiation,[status(thm)],[c_7493]) ).
cnf(c_84747,plain,
( ~ coll(sK21,sK21,X0)
| ~ midp(sK21,X0,sK21)
| midp(sK21,sK21,X0) ),
inference(instantiation,[status(thm)],[c_7492]) ).
cnf(c_84749,plain,
( ~ coll(sK21,sK21,sK20)
| ~ midp(sK21,sK20,sK21)
| midp(sK21,sK21,sK20) ),
inference(instantiation,[status(thm)],[c_84747]) ).
cnf(c_84750,plain,
( ~ coll(sK21,X0,X0)
| ~ midp(X0,sK21,sK21)
| midp(sK21,X0,X0) ),
inference(instantiation,[status(thm)],[c_7496]) ).
cnf(c_84751,plain,
( ~ coll(sK21,sK20,sK20)
| ~ midp(sK20,sK21,sK21)
| midp(sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_84750]) ).
cnf(c_84752,plain,
( ~ cong(X0,sK21,X0,X1)
| ~ coll(X0,sK21,X1)
| midp(X0,sK21,X1) ),
inference(instantiation,[status(thm)],[c_116]) ).
cnf(c_84920,plain,
( ~ perp(X0,X1,X2,X3)
| ~ para(X4,sK21,X0,X1)
| perp(X4,sK21,X2,X3) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_84921,plain,
( ~ para(sK20,sK21,sK20,sK20)
| ~ perp(sK20,sK20,sK20,sK20)
| perp(sK20,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_84920]) ).
cnf(c_84949,plain,
( ~ perp(X0,X1,X2,X3)
| ~ perp(X2,X3,X4,sK24)
| para(X0,X1,X4,sK24) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_84951,plain,
( ~ perp(sK20,sK20,sK20,sK24)
| ~ perp(sK20,sK20,sK20,sK20)
| para(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_84949]) ).
cnf(c_85029,plain,
( ~ cong(X0,sK21,X0,X1)
| ~ cong(X0,sK21,X0,X2)
| circle(X0,sK21,X2,X1) ),
inference(instantiation,[status(thm)],[c_60]) ).
cnf(c_85289,plain,
( ~ midp(sK27,X0,X1)
| ~ midp(sK21,X0,X2)
| para(sK27,sK21,X1,X2) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_85290,plain,
( ~ midp(sK27,sK20,sK20)
| ~ midp(sK21,sK20,sK20)
| para(sK27,sK21,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_85289]) ).
cnf(c_87872,plain,
( ~ coll(sK21,sK27,sK21)
| ~ midp(sK21,sK21,sK27)
| midp(sK21,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_84743]) ).
cnf(c_88921,plain,
( ~ midp(X0,X1,X2)
| ~ midp(sK22,X1,sK20)
| para(X0,sK22,X2,sK20) ),
inference(instantiation,[status(thm)],[c_93]) ).
cnf(c_88922,plain,
( ~ midp(sK22,sK20,sK20)
| ~ midp(sK20,sK20,sK20)
| para(sK20,sK22,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_88921]) ).
cnf(c_89514,plain,
( ~ perp(X0,X1,sK24,X2)
| perp(X0,X1,X2,sK24) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_89515,plain,
( ~ perp(sK20,sK20,sK24,sK20)
| perp(sK20,sK20,sK20,sK24) ),
inference(instantiation,[status(thm)],[c_89514]) ).
cnf(c_91544,plain,
( ~ para(sK21,X0,X1,sK24)
| ~ coll(X0,sK27,sK24)
| ~ midp(sK21,sK27,X1)
| midp(X0,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_75999]) ).
cnf(c_97381,plain,
( ~ perp(X0,X1,sK28,sK20)
| ~ perp(sK20,sK25,X0,X1)
| para(sK20,sK25,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_97384,plain,
( ~ perp(sK20,sK20,sK28,sK20)
| ~ perp(sK20,sK25,sK20,sK20)
| para(sK20,sK25,sK28,sK20) ),
inference(instantiation,[status(thm)],[c_97381]) ).
cnf(c_98191,plain,
( ~ coll(X0,X1,sK27)
| coll(X0,sK27,X1) ),
inference(instantiation,[status(thm)],[c_49]) ).
cnf(c_98192,plain,
( ~ coll(sK20,sK20,sK27)
| coll(sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_98191]) ).
cnf(c_99269,plain,
( ~ cong(sK21,sK21,sK21,sK27)
| ~ coll(sK21,sK21,sK27)
| midp(sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_84752]) ).
cnf(c_99672,plain,
( ~ cong(X0,sK21,X0,X1)
| ~ cong(X0,sK21,X0,sK21)
| circle(X0,sK21,X1,sK21) ),
inference(instantiation,[status(thm)],[c_85029]) ).
cnf(c_99673,plain,
( ~ cong(sK20,sK21,sK20,sK21)
| ~ cong(sK20,sK21,sK20,sK20)
| circle(sK20,sK21,sK20,sK21) ),
inference(instantiation,[status(thm)],[c_99672]) ).
cnf(c_104032,plain,
( ~ cong(X0,X1,X1,X1)
| ~ cong(X0,sK27,X1,sK27)
| perp(X0,X1,sK27,X1) ),
inference(instantiation,[status(thm)],[c_105]) ).
cnf(c_104033,plain,
( ~ cong(sK20,sK27,sK20,sK27)
| ~ cong(sK20,sK20,sK20,sK20)
| perp(sK20,sK20,sK27,sK20) ),
inference(instantiation,[status(thm)],[c_104032]) ).
cnf(c_104428,plain,
( ~ coll(sK27,X0,X1)
| ~ coll(sK27,X0,X2)
| coll(X1,X2,sK27) ),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_105911,plain,
( ~ cong(sK21,sK21,sK27,sK21)
| cong(sK21,sK21,sK21,sK27) ),
inference(instantiation,[status(thm)],[c_80028]) ).
cnf(c_105912,plain,
( ~ perp(sK21,sK27,sK27,X0)
| ~ midp(sK21,sK21,X0)
| cong(sK21,sK21,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_101]) ).
cnf(c_105913,plain,
( ~ perp(sK21,sK27,sK27,sK20)
| ~ midp(sK21,sK21,sK20)
| cong(sK21,sK21,sK27,sK21) ),
inference(instantiation,[status(thm)],[c_105912]) ).
cnf(c_110207,plain,
( ~ coll(sK27,sK21,X0)
| ~ coll(sK27,sK21,X1)
| coll(X0,X1,sK27) ),
inference(instantiation,[status(thm)],[c_104428]) ).
cnf(c_110208,plain,
( ~ coll(sK27,sK21,sK20)
| coll(sK20,sK20,sK27) ),
inference(instantiation,[status(thm)],[c_110207]) ).
cnf(c_110995,plain,
( ~ coll(X0,sK27,X1)
| ~ coll(X0,sK27,sK24)
| coll(sK24,X1,X0) ),
inference(instantiation,[status(thm)],[c_76913]) ).
cnf(c_110996,plain,
( ~ coll(sK20,sK27,sK24)
| ~ coll(sK20,sK27,sK20)
| coll(sK24,sK20,sK20) ),
inference(instantiation,[status(thm)],[c_110995]) ).
cnf(c_113391,plain,
( ~ para(sK21,sK24,sK22,sK27)
| para(sK22,sK27,sK21,sK24) ),
inference(instantiation,[status(thm)],[c_76015]) ).
cnf(c_113969,plain,
( ~ para(X0,X1,X2,sK24)
| ~ para(sK21,sK24,X0,X1)
| para(sK21,sK24,X2,sK24) ),
inference(instantiation,[status(thm)],[c_81197]) ).
cnf(c_115358,plain,
( ~ para(sK22,sK27,sK21,sK24)
| ~ para(sK21,sK24,sK26,sK24)
| para(sK22,sK27,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_75652]) ).
cnf(c_115390,plain,
( ~ para(sK21,X0,sK21,sK24)
| ~ coll(X0,sK27,sK24)
| ~ midp(sK21,sK27,sK21)
| midp(X0,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_91544]) ).
cnf(c_115392,plain,
( ~ para(sK21,sK20,sK21,sK24)
| ~ coll(sK20,sK27,sK24)
| ~ midp(sK21,sK27,sK21)
| midp(sK20,sK27,sK24) ),
inference(instantiation,[status(thm)],[c_115390]) ).
cnf(c_122536,plain,
( ~ midp(X0,sK24,sK27)
| ~ midp(X0,sK21,sK22)
| para(sK21,sK24,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_81202]) ).
cnf(c_122538,plain,
( ~ midp(sK20,sK24,sK27)
| ~ midp(sK20,sK21,sK22)
| para(sK21,sK24,sK22,sK27) ),
inference(instantiation,[status(thm)],[c_122536]) ).
cnf(c_128222,plain,
( ~ para(X0,X1,sK26,sK24)
| ~ para(sK21,sK24,X0,X1)
| para(sK21,sK24,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_113969]) ).
cnf(c_128223,plain,
( ~ para(sK21,sK24,sK20,sK20)
| ~ para(sK20,sK20,sK26,sK24)
| para(sK21,sK24,sK26,sK24) ),
inference(instantiation,[status(thm)],[c_128222]) ).
cnf(c_130260,plain,
coll(sK27,sK24,sK21),
inference(superposition,[status(thm)],[c_163,c_49]) ).
cnf(c_130288,plain,
perp(sK20,sK21,sK21,sK22),
inference(global_subsumption_just,[status(thm)],[c_7606,c_165,c_2454,c_2459,c_6878,c_6913,c_7136,c_7144,c_7499,c_8252,c_14228,c_14649,c_20152,c_76092]) ).
cnf(c_130332,plain,
( ~ coll(sK25,sK20,sK28)
| perp(sK20,sK26,sK28,sK26) ),
inference(superposition,[status(thm)],[c_7604,c_55]) ).
cnf(c_130341,plain,
perp(sK21,sK22,sK20,sK21),
inference(superposition,[status(thm)],[c_130288,c_56]) ).
cnf(c_130384,plain,
( ~ midp(X0,sK21,sK29)
| ~ coll(sK23,sK21,sK29)
| cong(sK21,X0,X0,sK27) ),
inference(superposition,[status(thm)],[c_7662,c_71]) ).
cnf(c_130395,plain,
( ~ coll(sK27,sK24,X0)
| coll(sK21,X0,sK27) ),
inference(superposition,[status(thm)],[c_130260,c_51]) ).
cnf(c_130437,plain,
coll(sK21,sK21,sK27),
inference(superposition,[status(thm)],[c_130260,c_130395]) ).
cnf(c_130584,plain,
( ~ midp(sK21,sK21,sK22)
| cong(sK20,sK21,sK20,sK22) ),
inference(superposition,[status(thm)],[c_130288,c_104]) ).
cnf(c_130630,plain,
( ~ coll(sK20,sK21,sK22)
| ~ midp(sK21,sK21,sK22)
| midp(sK20,sK21,sK22) ),
inference(superposition,[status(thm)],[c_130584,c_116]) ).
cnf(c_130669,plain,
( ~ perp(sK20,sK21,X0,X1)
| para(sK21,sK22,X0,X1) ),
inference(superposition,[status(thm)],[c_130341,c_57]) ).
cnf(c_131212,plain,
( ~ circle(X0,X0,X1,X1)
| ~ midp(X1,X1,X1)
| para(X0,X1,X0,X1)
| perp(X0,X1,X0,X1) ),
inference(superposition,[status(thm)],[c_99,c_121]) ).
cnf(c_131414,plain,
para(sK21,sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_130288,c_130669]) ).
cnf(c_131422,plain,
coll(sK21,sK22,sK22),
inference(superposition,[status(thm)],[c_131414,c_115]) ).
cnf(c_131425,plain,
coll(sK22,sK21,sK22),
inference(superposition,[status(thm)],[c_131422,c_50]) ).
cnf(c_131472,plain,
( ~ circle(sK20,sK21,X0,X1)
| eqangle(sK21,sK22,sK21,X0,X1,sK21,X1,X0) ),
inference(superposition,[status(thm)],[c_130288,c_97]) ).
cnf(c_131540,plain,
( ~ circle(sK20,sK21,X0,sK21)
| para(sK21,sK22,sK21,sK21) ),
inference(superposition,[status(thm)],[c_131472,c_87]) ).
cnf(c_131712,plain,
para(sK21,sK22,sK21,sK21),
inference(global_subsumption_just,[status(thm)],[c_131540,c_165,c_174,c_183,c_2208,c_2454,c_6878,c_6913,c_6969,c_7136,c_7144,c_7247,c_7261,c_7304,c_7499,c_8252,c_8523,c_8890,c_10120,c_11114,c_12714,c_12901,c_14228,c_14649,c_15074,c_15101,c_19906,c_20152,c_24255,c_24505,c_29742,c_33430,c_57966,c_76092,c_77859,c_88922,c_99673]) ).
cnf(c_131714,plain,
( ~ para(sK21,sK21,sK21,sK22)
| ~ midp(X0,sK21,sK21)
| midp(X0,sK22,sK21) ),
inference(superposition,[status(thm)],[c_131712,c_113]) ).
cnf(c_131718,plain,
para(sK21,sK21,sK21,sK22),
inference(superposition,[status(thm)],[c_131712,c_53]) ).
cnf(c_131720,plain,
coll(sK21,sK22,sK21),
inference(superposition,[status(thm)],[c_131712,c_115]) ).
cnf(c_131722,plain,
( ~ midp(X0,sK21,sK21)
| midp(X0,sK22,sK21) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131714,c_131718]) ).
cnf(c_131723,plain,
( ~ midp(sK20,sK21,sK21)
| midp(sK20,sK22,sK21) ),
inference(instantiation,[status(thm)],[c_131722]) ).
cnf(c_131727,plain,
( ~ coll(sK20,sK21,sK22)
| midp(sK20,sK21,sK22) ),
inference(global_subsumption_just,[status(thm)],[c_130630,c_165,c_174,c_2208,c_2454,c_6878,c_6913,c_6969,c_7136,c_7144,c_7247,c_7304,c_7499,c_8252,c_8523,c_11114,c_12901,c_14228,c_14649,c_20152,c_21440,c_24255,c_24505,c_29742,c_55883,c_76092,c_131720,c_131723]) ).
cnf(c_131955,plain,
( ~ coll(sK21,sK21,sK27)
| ~ coll(sK23,sK21,sK29)
| ~ midp(sK21,sK21,sK29)
| midp(sK21,sK21,sK27) ),
inference(superposition,[status(thm)],[c_130384,c_116]) ).
cnf(c_131961,plain,
( ~ coll(sK23,sK21,sK29)
| ~ midp(sK21,sK21,sK29)
| midp(sK21,sK21,sK27) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131955,c_130437]) ).
cnf(c_131962,plain,
( ~ coll(sK23,sK21,sK29)
| midp(sK21,sK21,sK27) ),
inference(global_subsumption_just,[status(thm)],[c_131961,c_165,c_174,c_2208,c_2454,c_6878,c_6913,c_6969,c_7136,c_7144,c_7236,c_7241,c_7247,c_7304,c_7499,c_7797,c_8064,c_8252,c_8396,c_8523,c_8807,c_11114,c_11518,c_12901,c_12903,c_14228,c_14649,c_20152,c_24255,c_24505,c_29742,c_37326,c_45127,c_59276,c_75645,c_76092,c_76439,c_76691,c_76960,c_84749,c_84751,c_85290,c_99269,c_104033,c_105911,c_105913,c_110208]) ).
cnf(c_133908,plain,
coll(sK22,sK22,sK21),
inference(superposition,[status(thm)],[c_131425,c_49]) ).
cnf(c_134419,plain,
coll(sK20,sK21,sK22),
inference(superposition,[status(thm)],[c_133908,c_7313]) ).
cnf(c_134423,plain,
midp(sK20,sK21,sK22),
inference(backward_subsumption_resolution,[status(thm)],[c_131727,c_134419]) ).
cnf(c_136503,plain,
para(X0,X1,X0,X1),
inference(global_subsumption_just,[status(thm)],[c_131212,c_165,c_2454,c_6878,c_6913,c_7136,c_7144,c_7499,c_8252,c_14228,c_14649,c_20152,c_42604,c_76092]) ).
cnf(c_136531,plain,
coll(X0,X1,X1),
inference(superposition,[status(thm)],[c_136503,c_115]) ).
cnf(c_136650,plain,
coll(X0,X1,X0),
inference(superposition,[status(thm)],[c_136531,c_50]) ).
cnf(c_136726,plain,
coll(X0,X0,X1),
inference(superposition,[status(thm)],[c_136650,c_49]) ).
cnf(c_136927,plain,
( ~ coll(X0,X0,X1)
| coll(X2,X1,X0) ),
inference(superposition,[status(thm)],[c_136726,c_51]) ).
cnf(c_136930,plain,
coll(X0,X1,X2),
inference(forward_subsumption_resolution,[status(thm)],[c_136927,c_136726]) ).
cnf(c_137068,plain,
midp(sK21,sK21,sK27),
inference(backward_subsumption_resolution,[status(thm)],[c_131962,c_136930]) ).
cnf(c_137332,plain,
perp(sK20,sK26,sK28,sK26),
inference(backward_subsumption_resolution,[status(thm)],[c_130332,c_136930]) ).
cnf(c_137379,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_137332,c_137068,c_134423,c_128223,c_122538,c_115392,c_115358,c_113391,c_110996,c_110208,c_98192,c_97384,c_89515,c_88922,c_87872,c_84951,c_84921,c_84751,c_80766,c_76092,c_76081,c_75645,c_75561,c_74795,c_74671,c_71089,c_60364,c_57996,c_57966,c_50524,c_47999,c_45426,c_41100,c_40032,c_37326,c_33430,c_31964,c_29970,c_29742,c_25836,c_24505,c_24255,c_20172,c_20154,c_20152,c_19906,c_19722,c_19720,c_18468,c_15101,c_15074,c_14722,c_14649,c_14433,c_14228,c_14137,c_12901,c_12750,c_12588,c_11518,c_11114,c_9124,c_8890,c_8549,c_8523,c_8396,c_8380,c_8341,c_8252,c_7922,c_7744,c_7499,c_7477,c_7474,c_7456,c_7304,c_7261,c_7247,c_7241,c_7240,c_7144,c_7136,c_6983,c_6984,c_6969,c_6913,c_6878,c_2454,c_2290,c_2208,c_183,c_174,c_162,c_165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO559+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 01:08:47 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 100.63/14.29 % SZS status Started for theBenchmark.p
% 100.63/14.29 % SZS status Theorem for theBenchmark.p
% 100.63/14.29
% 100.63/14.29 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 100.63/14.29
% 100.63/14.29 ------ iProver source info
% 100.63/14.29
% 100.63/14.29 git: date: 2024-05-02 19:28:25 +0000
% 100.63/14.29 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 100.63/14.29 git: non_committed_changes: false
% 100.63/14.29
% 100.63/14.29 ------ Parsing...
% 100.63/14.29 ------ Clausification by vclausify_rel & Parsing by iProver...
% 100.63/14.29
% 100.63/14.29 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 100.63/14.29
% 100.63/14.29 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 100.63/14.29
% 100.63/14.29 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 100.63/14.29 ------ Proving...
% 100.63/14.29 ------ Problem Properties
% 100.63/14.29
% 100.63/14.29
% 100.63/14.29 clauses 119
% 100.63/14.29 conjectures 7
% 100.63/14.29 EPR 82
% 100.63/14.29 Horn 109
% 100.63/14.29 unary 7
% 100.63/14.29 binary 37
% 100.63/14.29 lits 335
% 100.63/14.29 lits eq 4
% 100.63/14.29 fd_pure 0
% 100.63/14.29 fd_pseudo 0
% 100.63/14.29 fd_cond 0
% 100.63/14.29 fd_pseudo_cond 4
% 100.63/14.29 AC symbols 0
% 100.63/14.29
% 100.63/14.29 ------ Input Options Time Limit: Unbounded
% 100.63/14.29
% 100.63/14.29
% 100.63/14.29 ------
% 100.63/14.29 Current options:
% 100.63/14.29 ------
% 100.63/14.29
% 100.63/14.29
% 100.63/14.29
% 100.63/14.29
% 100.63/14.29 ------ Proving...
% 100.63/14.29
% 100.63/14.29
% 100.63/14.29 % SZS status Theorem for theBenchmark.p
% 100.63/14.29
% 100.63/14.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 100.63/14.30
% 100.63/14.30
%------------------------------------------------------------------------------