%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO547+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:19:06 AM UTC 2026
% Result : Theorem 5.33s 1.21s
% Output : CNFRefutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 28
% Syntax : Number of formulae : 529 ( 278 unt; 0 typ; 0 def)
% Number of atoms : 3989 (1003 equ; 0 cnn)
% Maximal formula atoms : 9 ( 7 avg)
% Number of connectives : 13312 (2368 ~;1252 |; 201 &;9398 @)
% ( 0 <=>; 93 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 37 ( 34 usr; 11 con; 0-8 aty)
% Number of variables : 2579 ( 0 ^;2537 !; 42 ?;2579 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_circle,type,
circle: $i > $i > $i > $i > $o ).
thf(tp_coll,type,
coll: $i > $i > $i > $o ).
thf(tp_cong,type,
cong: $i > $i > $i > $i > $o ).
thf(tp_contri,type,
contri: $i > $i > $i > $i > $i > $i > $o ).
thf(tp_cyclic,type,
cyclic: $i > $i > $i > $i > $o ).
thf(tp_eqangle,type,
eqangle: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_eqratio,type,
eqratio: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_midp,type,
midp: $i > $i > $i > $o ).
thf(tp_para,type,
para: $i > $i > $i > $i > $o ).
thf(tp_perp,type,
perp: $i > $i > $i > $i > $o ).
thf(tp_sK10_SY412,type,
sK10_SY412: $i > $i > $i > $i ).
thf(tp_sK11_SY429,type,
sK11_SY429: $i > $i > $i > $i > $i ).
thf(tp_sK12_SY444,type,
sK12_SY444: $i > $i > $i > $i > $i ).
thf(tp_sK13_SY445,type,
sK13_SY445: $i > $i > $i > $i > $i ).
thf(tp_sK14_SY451,type,
sK14_SY451: $i > $i > $i > $i > $i ).
thf(tp_sK15_SY454,type,
sK15_SY454: $i > $i > $i > $i > $i ).
thf(tp_sK16_SY455,type,
sK16_SY455: $i > $i > $i > $i > $i ).
thf(tp_sK17_SY468,type,
sK17_SY468: $i > $i > $i > $i > $i > $i ).
thf(tp_sK18_SY473,type,
sK18_SY473: $i > $i > $i > $i > $i > $i ).
thf(tp_sK19_SY475,type,
sK19_SY475: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK20_SY478,type,
sK20_SY478: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK21_SY474,type,
sK21_SY474: $i > $i > $i > $i > $i ).
thf(tp_sK22_SY483,type,
sK22_SY483: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK23_SY484,type,
sK23_SY484: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK2_SY145,type,
sK2_SY145: $i ).
thf(tp_sK3_SY153,type,
sK3_SY153: $i ).
thf(tp_sK4_SY160,type,
sK4_SY160: $i ).
thf(tp_sK5_SY166,type,
sK5_SY166: $i ).
thf(tp_sK6_SY171,type,
sK6_SY171: $i ).
thf(tp_sK7_SY175,type,
sK7_SY175: $i ).
thf(tp_sK8_SY178,type,
sK8_SY178: $i ).
thf(tp_sK9_SY180,type,
sK9_SY180: $i ).
thf(tp_simtri,type,
simtri: $i > $i > $i > $i > $i > $i > $o ).
thf(1,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
? [R: $i] :
( ( ( para @ A @ B @ C @ D )
& ( coll @ P @ A @ C )
& ( coll @ P @ B @ D )
& ( coll @ Q @ A @ B ) )
=> ( ( coll @ P @ Q @ R )
& ( coll @ R @ C @ D ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX18) ).
thf(2,axiom,
! [A: $i,B: $i,O: $i] :
? [C: $i] :
( ( ( cong @ O @ A @ O @ B )
& ( perp @ A @ O @ O @ B ) )
=> ( ( coll @ A @ O @ C )
& ( cong @ O @ A @ O @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX17) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i,M: $i] :
? [P: $i] :
( ( ( perp @ A @ B @ A @ C )
& ( perp @ C @ A @ C @ D )
& ( midp @ M @ B @ D ) )
=> ( midp @ P @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX16) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,E: $i,F: $i] :
? [P: $i] :
( ( ( perp @ A @ C @ C @ B )
& ( coll @ B @ E @ F ) )
=> ( ( coll @ P @ E @ F )
& ( perp @ P @ A @ E @ F ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX15) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
? [O: $i] :
( ( ( perp @ A @ C @ C @ B )
& ( cyclic @ A @ B @ C @ D ) )
=> ( circle @ O @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX14) ).
thf(7,axiom,
! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
? [P: $i,Q: $i] :
( ( ( circle @ M @ A @ B @ C )
& ( cong @ M @ A @ M @ D )
& ( cong @ N @ A @ N @ B )
& ( M != N ) )
=> ( ( coll @ P @ A @ C )
& ( cong @ P @ N @ N @ A )
& ( coll @ Q @ B @ D )
& ( cong @ Q @ N @ N @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX12) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,O: $i] :
? [P: $i] :
( ( circle @ O @ A @ B @ C )
=> ( perp @ P @ A @ A @ O ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX11) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i,H: $i] :
? [P: $i,Q: $i] :
( ( ( perp @ A @ H @ B @ C )
& ( perp @ B @ H @ A @ C ) )
=> ( ( coll @ P @ C @ B )
& ( perp @ A @ P @ C @ B )
& ( coll @ Q @ C @ A )
& ( perp @ B @ Q @ C @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX10) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i,Q: $i] :
? [P: $i] :
( ( ( midp @ M @ A @ B )
& ( midp @ N @ C @ D )
& ( coll @ C @ A @ B )
& ( coll @ D @ A @ B ) )
=> ( midp @ P @ A @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX7) ).
thf(15,axiom,
! [A: $i,B: $i,O: $i,X: $i] :
? [M: $i] :
( ( ( perp @ O @ X @ A @ B )
& ( cong @ O @ A @ O @ B ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ M @ O @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX4) ).
thf(16,axiom,
! [A: $i,B: $i,O: $i,X: $i] :
? [M: $i] :
( ( ( perp @ O @ X @ A @ B )
& ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ M @ O @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX3) ).
thf(18,axiom,
! [A: $i,M: $i,O: $i,X: $i] :
? [B: $i] :
( ( ( perp @ O @ M @ M @ A )
& ( eqangle @ X @ O @ M @ O @ M @ O @ A @ O ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ B @ O @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX1) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( perp @ P @ Q @ U @ V ) )
=> ( perp @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD74) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( coll @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i] :
( ( para @ A @ B @ A @ C )
=> ( coll @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
thf(38,axiom,
! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( cong @ A @ P @ B @ P )
& ( cong @ A @ Q @ B @ Q ) )
=> ( perp @ A @ B @ P @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i,O: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( coll @ O @ A @ C ) )
=> ( perp @ A @ B @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD53) ).
thf(45,axiom,
! [A: $i,B: $i,C: $i,O: $i,X: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) )
=> ( perp @ O @ A @ A @ X ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD49) ).
thf(46,axiom,
! [A: $i,B: $i,C: $i,O: $i,X: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( perp @ O @ A @ A @ X ) )
=> ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD48) ).
thf(83,axiom,
! [A: $i,B: $i,C: $i,O: $i] :
( ( ( cong @ O @ A @ O @ B )
& ( cong @ O @ A @ O @ C ) )
=> ( circle @ O @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD12) ).
thf(85,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( para @ A @ B @ C @ D )
& ( perp @ C @ D @ E @ F ) )
=> ( perp @ A @ B @ E @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).
thf(86,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( perp @ A @ B @ C @ D )
& ( perp @ C @ D @ E @ F ) )
=> ( para @ A @ B @ E @ F ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).
thf(87,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ C @ D @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD8) ).
thf(88,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ A @ B @ D @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD7) ).
thf(92,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( coll @ A @ B @ C )
& ( coll @ A @ B @ D ) )
=> ( coll @ C @ D @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD3) ).
thf(93,axiom,
! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ B @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD2) ).
thf(94,axiom,
! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ A @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD1) ).
thf(95,conjecture,
! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( circle @ O @ A @ D @ NWPNT1 )
& ( perp @ E @ D @ B @ C )
& ( coll @ E @ B @ C )
& ( perp @ F @ D @ A @ C )
& ( coll @ F @ A @ C )
& ( perp @ G @ D @ A @ B )
& ( coll @ G @ A @ B ) )
=> ( coll @ E @ F @ G ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL012007) ).
thf(96,negated_conjecture,
( ( ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( circle @ O @ A @ D @ NWPNT1 )
& ( perp @ E @ D @ B @ C )
& ( coll @ E @ B @ C )
& ( perp @ F @ D @ A @ C )
& ( coll @ F @ A @ C )
& ( perp @ G @ D @ A @ B )
& ( coll @ G @ A @ B ) )
=> ( coll @ E @ F @ G ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[95]) ).
thf(97,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i,D: $i,E: $i,F: $i,G: $i,NWPNT1: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( circle @ O @ A @ D @ NWPNT1 )
& ( perp @ E @ D @ B @ C )
& ( coll @ E @ B @ C )
& ( perp @ F @ D @ A @ C )
& ( coll @ F @ A @ C )
& ( perp @ G @ D @ A @ B )
& ( coll @ G @ A @ B ) )
=> ( coll @ E @ F @ G ) ) )
= $false ),
inference(unfold_def,[status(thm)],[96]) ).
thf(98,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
? [R: $i] :
( ( ( para @ A @ B @ C @ D )
& ( coll @ P @ A @ C )
& ( coll @ P @ B @ D )
& ( coll @ Q @ A @ B ) )
=> ( ( coll @ P @ Q @ R )
& ( coll @ R @ C @ D ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(99,plain,
( ( ! [A: $i,B: $i,O: $i] :
? [C: $i] :
( ( ( cong @ O @ A @ O @ B )
& ( perp @ A @ O @ O @ B ) )
=> ( ( coll @ A @ O @ C )
& ( cong @ O @ A @ O @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(100,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
? [P: $i] :
( ( ( perp @ A @ B @ A @ C )
& ( perp @ C @ A @ C @ D )
& ( midp @ M @ B @ D ) )
=> ( midp @ P @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(101,plain,
( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
? [P: $i] :
( ( ( perp @ A @ C @ C @ B )
& ( coll @ B @ E @ F ) )
=> ( ( coll @ P @ E @ F )
& ( perp @ P @ A @ E @ F ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(102,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
? [O: $i] :
( ( ( perp @ A @ C @ C @ B )
& ( cyclic @ A @ B @ C @ D ) )
=> ( circle @ O @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(103,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
? [P: $i,Q: $i] :
( ( ( circle @ M @ A @ B @ C )
& ( cong @ M @ A @ M @ D )
& ( cong @ N @ A @ N @ B )
& ( M != N ) )
=> ( ( coll @ P @ A @ C )
& ( cong @ P @ N @ N @ A )
& ( coll @ Q @ B @ D )
& ( cong @ Q @ N @ N @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(104,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i] :
? [P: $i] :
( ( circle @ O @ A @ B @ C )
=> ( perp @ P @ A @ A @ O ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(105,plain,
( ( ! [A: $i,B: $i,C: $i,H: $i] :
? [P: $i,Q: $i] :
( ( ( perp @ A @ H @ B @ C )
& ( perp @ B @ H @ A @ C ) )
=> ( ( coll @ P @ C @ B )
& ( perp @ A @ P @ C @ B )
& ( coll @ Q @ C @ A )
& ( perp @ B @ Q @ C @ A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(106,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i,Q: $i] :
? [P: $i] :
( ( ( midp @ M @ A @ B )
& ( midp @ N @ C @ D )
& ( coll @ C @ A @ B )
& ( coll @ D @ A @ B ) )
=> ( midp @ P @ A @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(107,plain,
( ( ! [A: $i,B: $i,O: $i,X: $i] :
? [M: $i] :
( ( ( perp @ O @ X @ A @ B )
& ( cong @ O @ A @ O @ B ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ M @ O @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(108,plain,
( ( ! [A: $i,B: $i,O: $i,X: $i] :
? [M: $i] :
( ( ( perp @ O @ X @ A @ B )
& ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ M @ O @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(109,plain,
( ( ! [A: $i,M: $i,O: $i,X: $i] :
? [B: $i] :
( ( ( perp @ O @ M @ M @ A )
& ( eqangle @ X @ O @ M @ O @ M @ O @ A @ O ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ B @ O @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(110,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( perp @ P @ Q @ U @ V ) )
=> ( perp @ A @ B @ C @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(111,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(112,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( para @ A @ B @ A @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(113,plain,
( ( ! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( cong @ A @ P @ B @ P )
& ( cong @ A @ Q @ B @ Q ) )
=> ( perp @ A @ B @ P @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(114,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( coll @ O @ A @ C ) )
=> ( perp @ A @ B @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(115,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) )
=> ( perp @ O @ A @ A @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(116,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( perp @ O @ A @ A @ X ) )
=> ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(117,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i] :
( ( ( cong @ O @ A @ O @ B )
& ( cong @ O @ A @ O @ C ) )
=> ( circle @ O @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(118,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( para @ A @ B @ C @ D )
& ( perp @ C @ D @ E @ F ) )
=> ( perp @ A @ B @ E @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(119,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( perp @ A @ B @ C @ D )
& ( perp @ C @ D @ E @ F ) )
=> ( para @ A @ B @ E @ F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(120,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ C @ D @ A @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(121,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ A @ B @ D @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(122,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( coll @ A @ B @ C )
& ( coll @ A @ B @ D ) )
=> ( coll @ C @ D @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(123,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ B @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(124,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ A @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(125,plain,
( ( ! [SY145: $i,SY146: $i,SY147: $i,SY148: $i,SY149: $i,SY150: $i,SY151: $i,SY152: $i] :
( ( ( circle @ SY147 @ sK1_A @ SY145 @ SY146 )
& ( circle @ SY147 @ sK1_A @ SY148 @ SY152 )
& ( perp @ SY149 @ SY148 @ SY145 @ SY146 )
& ( coll @ SY149 @ SY145 @ SY146 )
& ( perp @ SY150 @ SY148 @ sK1_A @ SY146 )
& ( coll @ SY150 @ sK1_A @ SY146 )
& ( perp @ SY151 @ SY148 @ sK1_A @ SY145 )
& ( coll @ SY151 @ sK1_A @ SY145 ) )
=> ( coll @ SY149 @ SY150 @ SY151 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[97]) ).
thf(126,plain,
( ( ! [SY153: $i,SY154: $i,SY155: $i,SY156: $i,SY157: $i,SY158: $i,SY159: $i] :
( ( ( circle @ SY154 @ sK1_A @ sK2_SY145 @ SY153 )
& ( circle @ SY154 @ sK1_A @ SY155 @ SY159 )
& ( perp @ SY156 @ SY155 @ sK2_SY145 @ SY153 )
& ( coll @ SY156 @ sK2_SY145 @ SY153 )
& ( perp @ SY157 @ SY155 @ sK1_A @ SY153 )
& ( coll @ SY157 @ sK1_A @ SY153 )
& ( perp @ SY158 @ SY155 @ sK1_A @ sK2_SY145 )
& ( coll @ SY158 @ sK1_A @ sK2_SY145 ) )
=> ( coll @ SY156 @ SY157 @ SY158 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[125]) ).
thf(127,plain,
( ( ! [SY160: $i,SY161: $i,SY162: $i,SY163: $i,SY164: $i,SY165: $i] :
( ( ( circle @ SY160 @ sK1_A @ sK2_SY145 @ sK3_SY153 )
& ( circle @ SY160 @ sK1_A @ SY161 @ SY165 )
& ( perp @ SY162 @ SY161 @ sK2_SY145 @ sK3_SY153 )
& ( coll @ SY162 @ sK2_SY145 @ sK3_SY153 )
& ( perp @ SY163 @ SY161 @ sK1_A @ sK3_SY153 )
& ( coll @ SY163 @ sK1_A @ sK3_SY153 )
& ( perp @ SY164 @ SY161 @ sK1_A @ sK2_SY145 )
& ( coll @ SY164 @ sK1_A @ sK2_SY145 ) )
=> ( coll @ SY162 @ SY163 @ SY164 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[126]) ).
thf(128,plain,
( ( ! [SY166: $i,SY167: $i,SY168: $i,SY169: $i,SY170: $i] :
( ( ( circle @ sK4_SY160 @ sK1_A @ sK2_SY145 @ sK3_SY153 )
& ( circle @ sK4_SY160 @ sK1_A @ SY166 @ SY170 )
& ( perp @ SY167 @ SY166 @ sK2_SY145 @ sK3_SY153 )
& ( coll @ SY167 @ sK2_SY145 @ sK3_SY153 )
& ( perp @ SY168 @ SY166 @ sK1_A @ sK3_SY153 )
& ( coll @ SY168 @ sK1_A @ sK3_SY153 )
& ( perp @ SY169 @ SY166 @ sK1_A @ sK2_SY145 )
& ( coll @ SY169 @ sK1_A @ sK2_SY145 ) )
=> ( coll @ SY167 @ SY168 @ SY169 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[127]) ).
thf(129,plain,
( ( ! [SY171: $i,SY172: $i,SY173: $i,SY174: $i] :
( ( ( circle @ sK4_SY160 @ sK1_A @ sK2_SY145 @ sK3_SY153 )
& ( circle @ sK4_SY160 @ sK1_A @ sK5_SY166 @ SY174 )
& ( perp @ SY171 @ sK5_SY166 @ sK2_SY145 @ sK3_SY153 )
& ( coll @ SY171 @ sK2_SY145 @ sK3_SY153 )
& ( perp @ SY172 @ sK5_SY166 @ sK1_A @ sK3_SY153 )
& ( coll @ SY172 @ sK1_A @ sK3_SY153 )
& ( perp @ SY173 @ sK5_SY166 @ sK1_A @ sK2_SY145 )
& ( coll @ SY173 @ sK1_A @ sK2_SY145 ) )
=> ( coll @ SY171 @ SY172 @ SY173 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[128]) ).
thf(130,plain,
( ( ! [SY175: $i,SY176: $i,SY177: $i] :
( ( ( circle @ sK4_SY160 @ sK1_A @ sK2_SY145 @ sK3_SY153 )
& ( circle @ sK4_SY160 @ sK1_A @ sK5_SY166 @ SY177 )
& ( perp @ sK6_SY171 @ sK5_SY166 @ sK2_SY145 @ sK3_SY153 )
& ( coll @ sK6_SY171 @ sK2_SY145 @ sK3_SY153 )
& ( perp @ SY175 @ sK5_SY166 @ sK1_A @ sK3_SY153 )
& ( coll @ SY175 @ sK1_A @ sK3_SY153 )
& ( perp @ SY176 @ sK5_SY166 @ sK1_A @ sK2_SY145 )
& ( coll @ SY176 @ sK1_A @ sK2_SY145 ) )
=> ( coll @ sK6_SY171 @ SY175 @ SY176 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[129]) ).
thf(131,plain,
( ( ! [SY178: $i,SY179: $i] :
( ( ( circle @ sK4_SY160 @ sK1_A @ sK2_SY145 @ sK3_SY153 )
& ( circle @ sK4_SY160 @ sK1_A @ sK5_SY166 @ SY179 )
& ( perp @ sK6_SY171 @ sK5_SY166 @ sK2_SY145 @ sK3_SY153 )
& ( coll @ sK6_SY171 @ sK2_SY145 @ sK3_SY153 )
& ( perp @ sK7_SY175 @ sK5_SY166 @ sK1_A @ sK3_SY153 )
& ( coll @ sK7_SY175 @ sK1_A @ sK3_SY153 )
& ( perp @ SY178 @ sK5_SY166 @ sK1_A @ sK2_SY145 )
& ( coll @ SY178 @ sK1_A @ sK2_SY145 ) )
=> ( coll @ sK6_SY171 @ sK7_SY175 @ SY178 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[130]) ).
thf(132,plain,
( ( ! [SY180: $i] :
( ( ( circle @ sK4_SY160 @ sK1_A @ sK2_SY145 @ sK3_SY153 )
& ( circle @ sK4_SY160 @ sK1_A @ sK5_SY166 @ SY180 )
& ( perp @ sK6_SY171 @ sK5_SY166 @ sK2_SY145 @ sK3_SY153 )
& ( coll @ sK6_SY171 @ sK2_SY145 @ sK3_SY153 )
& ( perp @ sK7_SY175 @ sK5_SY166 @ sK1_A @ sK3_SY153 )
& ( coll @ sK7_SY175 @ sK1_A @ sK3_SY153 )
& ( perp @ sK8_SY178 @ sK5_SY166 @ sK1_A @ sK2_SY145 )
& ( coll @ sK8_SY178 @ sK1_A @ sK2_SY145 ) )
=> ( coll @ sK6_SY171 @ sK7_SY175 @ sK8_SY178 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[131]) ).
thf(133,plain,
( ( ( ( circle @ sK4_SY160 @ sK1_A @ sK2_SY145 @ sK3_SY153 )
& ( circle @ sK4_SY160 @ sK1_A @ sK5_SY166 @ sK9_SY180 )
& ( perp @ sK6_SY171 @ sK5_SY166 @ sK2_SY145 @ sK3_SY153 )
& ( coll @ sK6_SY171 @ sK2_SY145 @ sK3_SY153 )
& ( perp @ sK7_SY175 @ sK5_SY166 @ sK1_A @ sK3_SY153 )
& ( coll @ sK7_SY175 @ sK1_A @ sK3_SY153 )
& ( perp @ sK8_SY178 @ sK5_SY166 @ sK1_A @ sK2_SY145 )
& ( coll @ sK8_SY178 @ sK1_A @ sK2_SY145 ) )
=> ( coll @ sK6_SY171 @ sK7_SY175 @ sK8_SY178 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[132]) ).
thf(134,plain,
( ( circle @ sK4_SY160 @ sK1_A @ sK2_SY145 @ sK3_SY153 )
= $true ),
inference(standard_cnf,[status(thm)],[133]) ).
thf(135,plain,
( ( circle @ sK4_SY160 @ sK1_A @ sK5_SY166 @ sK9_SY180 )
= $true ),
inference(standard_cnf,[status(thm)],[133]) ).
thf(136,plain,
( ( perp @ sK6_SY171 @ sK5_SY166 @ sK2_SY145 @ sK3_SY153 )
= $true ),
inference(standard_cnf,[status(thm)],[133]) ).
thf(137,plain,
( ( coll @ sK6_SY171 @ sK2_SY145 @ sK3_SY153 )
= $true ),
inference(standard_cnf,[status(thm)],[133]) ).
thf(138,plain,
( ( perp @ sK7_SY175 @ sK5_SY166 @ sK1_A @ sK3_SY153 )
= $true ),
inference(standard_cnf,[status(thm)],[133]) ).
thf(139,plain,
( ( coll @ sK7_SY175 @ sK1_A @ sK3_SY153 )
= $true ),
inference(standard_cnf,[status(thm)],[133]) ).
thf(140,plain,
( ( perp @ sK8_SY178 @ sK5_SY166 @ sK1_A @ sK2_SY145 )
= $true ),
inference(standard_cnf,[status(thm)],[133]) ).
thf(141,plain,
( ( coll @ sK8_SY178 @ sK1_A @ sK2_SY145 )
= $true ),
inference(standard_cnf,[status(thm)],[133]) ).
thf(142,plain,
( ( coll @ sK6_SY171 @ sK7_SY175 @ sK8_SY178 )
= $false ),
inference(standard_cnf,[status(thm)],[133]) ).
thf(143,plain,
( ( ~ ( coll @ sK6_SY171 @ sK7_SY175 @ sK8_SY178 ) )
= $true ),
inference(polarity_switch,[status(thm)],[142]) ).
thf(144,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ A @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(145,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ B @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(146,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( coll @ A @ B @ C )
& ( coll @ A @ B @ D ) )
=> ( coll @ C @ D @ A ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(147,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ A @ B @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[121]) ).
thf(148,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ C @ D @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[120]) ).
thf(149,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( perp @ A @ B @ C @ D )
& ( perp @ C @ D @ E @ F ) )
=> ( para @ A @ B @ E @ F ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(150,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( ( para @ A @ B @ C @ D )
& ( perp @ C @ D @ E @ F ) )
=> ( perp @ A @ B @ E @ F ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(151,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i] :
( ( ( cong @ O @ A @ O @ B )
& ( cong @ O @ A @ O @ C ) )
=> ( circle @ O @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(152,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( perp @ O @ A @ A @ X ) )
=> ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(153,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i,X: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( eqangle @ A @ X @ A @ B @ C @ A @ C @ B ) )
=> ( perp @ O @ A @ A @ X ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(154,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( coll @ O @ A @ C ) )
=> ( perp @ A @ B @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(155,plain,
( ( ! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( cong @ A @ P @ B @ P )
& ( cong @ A @ Q @ B @ Q ) )
=> ( perp @ A @ B @ P @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(156,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( para @ A @ B @ A @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(157,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(158,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( perp @ P @ Q @ U @ V ) )
=> ( perp @ A @ B @ C @ D ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(159,plain,
( ( ! [A: $i,M: $i,O: $i,X: $i] :
? [B: $i] :
( ( ( perp @ O @ M @ M @ A )
& ( eqangle @ X @ O @ M @ O @ M @ O @ A @ O ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ B @ O @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(160,plain,
( ( ! [A: $i,B: $i,O: $i,X: $i] :
? [M: $i] :
( ( ( perp @ O @ X @ A @ B )
& ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ M @ O @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[108]) ).
thf(161,plain,
( ( ! [A: $i,B: $i,O: $i,X: $i] :
? [M: $i] :
( ( ( perp @ O @ X @ A @ B )
& ( cong @ O @ A @ O @ B ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ M @ O @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[107]) ).
thf(162,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i,Q: $i] :
? [P: $i] :
( ( ( midp @ M @ A @ B )
& ( midp @ N @ C @ D )
& ( coll @ C @ A @ B )
& ( coll @ D @ A @ B ) )
=> ( midp @ P @ A @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[106]) ).
thf(163,plain,
( ( ! [A: $i,B: $i,C: $i,H: $i] :
? [P: $i,Q: $i] :
( ( ( perp @ A @ H @ B @ C )
& ( perp @ B @ H @ A @ C ) )
=> ( ( coll @ P @ C @ B )
& ( perp @ A @ P @ C @ B )
& ( coll @ Q @ C @ A )
& ( perp @ B @ Q @ C @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(164,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i] :
? [P: $i] :
( ( circle @ O @ A @ B @ C )
=> ( perp @ P @ A @ A @ O ) ) )
= $true ),
inference(copy,[status(thm)],[104]) ).
thf(165,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i,N: $i] :
? [P: $i,Q: $i] :
( ( ( circle @ M @ A @ B @ C )
& ( cong @ M @ A @ M @ D )
& ( cong @ N @ A @ N @ B )
& ( M != N ) )
=> ( ( coll @ P @ A @ C )
& ( cong @ P @ N @ N @ A )
& ( coll @ Q @ B @ D )
& ( cong @ Q @ N @ N @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[103]) ).
thf(166,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
? [O: $i] :
( ( ( perp @ A @ C @ C @ B )
& ( cyclic @ A @ B @ C @ D ) )
=> ( circle @ O @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[102]) ).
thf(167,plain,
( ( ! [A: $i,B: $i,C: $i,E: $i,F: $i] :
? [P: $i] :
( ( ( perp @ A @ C @ C @ B )
& ( coll @ B @ E @ F ) )
=> ( ( coll @ P @ E @ F )
& ( perp @ P @ A @ E @ F ) ) ) )
= $true ),
inference(copy,[status(thm)],[101]) ).
thf(168,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,M: $i] :
? [P: $i] :
( ( ( perp @ A @ B @ A @ C )
& ( perp @ C @ A @ C @ D )
& ( midp @ M @ B @ D ) )
=> ( midp @ P @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[100]) ).
thf(169,plain,
( ( ! [A: $i,B: $i,O: $i] :
? [C: $i] :
( ( ( cong @ O @ A @ O @ B )
& ( perp @ A @ O @ O @ B ) )
=> ( ( coll @ A @ O @ C )
& ( cong @ O @ A @ O @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[99]) ).
thf(170,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
? [R: $i] :
( ( ( para @ A @ B @ C @ D )
& ( coll @ P @ A @ C )
& ( coll @ P @ B @ D )
& ( coll @ Q @ A @ B ) )
=> ( ( coll @ P @ Q @ R )
& ( coll @ R @ C @ D ) ) ) )
= $true ),
inference(copy,[status(thm)],[98]) ).
thf(171,plain,
( ( coll @ sK8_SY178 @ sK1_A @ sK2_SY145 )
= $true ),
inference(copy,[status(thm)],[141]) ).
thf(172,plain,
( ( perp @ sK8_SY178 @ sK5_SY166 @ sK1_A @ sK2_SY145 )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(173,plain,
( ( coll @ sK7_SY175 @ sK1_A @ sK3_SY153 )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(174,plain,
( ( perp @ sK7_SY175 @ sK5_SY166 @ sK1_A @ sK3_SY153 )
= $true ),
inference(copy,[status(thm)],[138]) ).
thf(175,plain,
( ( coll @ sK6_SY171 @ sK2_SY145 @ sK3_SY153 )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(176,plain,
( ( perp @ sK6_SY171 @ sK5_SY166 @ sK2_SY145 @ sK3_SY153 )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(177,plain,
( ( circle @ sK4_SY160 @ sK1_A @ sK5_SY166 @ sK9_SY180 )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(178,plain,
( ( circle @ sK4_SY160 @ sK1_A @ sK2_SY145 @ sK3_SY153 )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(179,plain,
( ( ~ ( coll @ sK6_SY171 @ sK7_SY175 @ sK8_SY178 ) )
= $true ),
inference(copy,[status(thm)],[143]) ).
thf(180,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( perp @ SX2 @ SX3 @ SX4 @ SX5 ) )
| ( para @ SX0 @ SX1 @ SX4 @ SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(181,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ! [SX4: $i] :
~ ~ ! [SX5: $i] :
~ ( ~ ~ ( ~ ( perp @ SX0 @ SX3 @ SX1 @ SX2 )
| ~ ( perp @ SX1 @ SX3 @ SX0 @ SX2 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SX4 @ SX2 @ SX1 )
| ~ ( perp @ SX0 @ SX4 @ SX2 @ SX1 ) )
| ~ ( coll @ SX5 @ SX2 @ SX0 ) )
| ~ ( perp @ SX1 @ SX5 @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(182,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 )
| ( perp @ SX0 @ SX1 @ SX3 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(183,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
~ ! [SX6: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( coll @ SX4 @ SX0 @ SX2 ) )
| ~ ( coll @ SX4 @ SX1 @ SX3 ) )
| ~ ( coll @ SX5 @ SX0 @ SX1 ) )
| ~ ( ~ ( coll @ SX4 @ SX5 @ SX6 )
| ~ ( coll @ SX6 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(184,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i] :
( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ~ ( perp @ SX4 @ SX5 @ SX6 @ SX7 ) )
| ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(185,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( cong @ SX3 @ SX0 @ SX3 @ SX1 )
| ~ ( cong @ SX3 @ SX0 @ SX3 @ SX2 ) )
| ( circle @ SX3 @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(186,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
| ~ ( coll @ SX3 @ SX0 @ SX2 ) )
| ( perp @ SX0 @ SX1 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(187,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( cong @ SX0 @ SX2 @ SX1 @ SX2 )
| ~ ( cong @ SX0 @ SX3 @ SX1 @ SX3 ) )
| ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(188,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
~ ! [SX6: $i] :
~ ~ ! [SX7: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SX4 @ SX0 @ SX1 @ SX2 )
| ~ ( cong @ SX4 @ SX0 @ SX4 @ SX3 ) )
| ~ ( cong @ SX5 @ SX0 @ SX5 @ SX1 ) )
| ~ ( ( SX4 != SX5 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SX6 @ SX0 @ SX2 )
| ~ ( cong @ SX6 @ SX5 @ SX5 @ SX0 ) )
| ~ ( coll @ SX7 @ SX1 @ SX3 ) )
| ~ ( cong @ SX7 @ SX5 @ SX5 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(189,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( coll @ SX0 @ SX1 @ SX2 )
| ~ ( coll @ SX0 @ SX1 @ SX3 ) )
| ( coll @ SX2 @ SX3 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(190,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( para @ SX0 @ SX1 @ SX0 @ SX2 )
| ( coll @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(191,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ! [SX5: $i] :
~ ( ~ ~ ( ~ ( perp @ SX0 @ SX2 @ SX2 @ SX1 )
| ~ ( coll @ SX1 @ SX3 @ SX4 ) )
| ~ ( ~ ( coll @ SX5 @ SX3 @ SX4 )
| ~ ( perp @ SX5 @ SX0 @ SX3 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(192,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ! [SX4: $i] :
~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
| ( perp @ SX4 @ SX0 @ SX0 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(193,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ! [SX4: $i] :
~ ( ~ ~ ( ~ ( perp @ SX0 @ SX2 @ SX2 @ SX1 )
| ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ( circle @ SX4 @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(194,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
| ~ ( eqangle @ SX0 @ SX4 @ SX0 @ SX1 @ SX2 @ SX0 @ SX2 @ SX1 ) )
| ( perp @ SX3 @ SX0 @ SX0 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(195,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i] :
~ ! [SX7: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SX4 @ SX0 @ SX1 )
| ~ ( midp @ SX5 @ SX2 @ SX3 ) )
| ~ ( coll @ SX2 @ SX0 @ SX1 ) )
| ~ ( coll @ SX3 @ SX0 @ SX1 ) )
| ( midp @ SX7 @ SX0 @ SX6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(196,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 )
| ( perp @ SX2 @ SX3 @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(197,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ! [SX3: $i] :
~ ( ~ ~ ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
| ~ ( perp @ SX0 @ SX2 @ SX2 @ SX1 ) )
| ~ ( ~ ( coll @ SX0 @ SX2 @ SX3 )
| ~ ( cong @ SX2 @ SX0 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(198,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( midp @ SX0 @ SX1 @ SX2 )
| ( coll @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(199,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( coll @ SX0 @ SX1 @ SX2 )
| ( coll @ SX0 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(200,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ! [SX4: $i] :
~ ( ~ ~ ( ~ ( perp @ SX2 @ SX3 @ SX0 @ SX1 )
| ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 ) )
| ~ ( ~ ( coll @ SX1 @ SX0 @ SX4 )
| ~ ( coll @ SX4 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(201,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 )
| ~ ( perp @ SX2 @ SX3 @ SX4 @ SX5 ) )
| ( perp @ SX0 @ SX1 @ SX4 @ SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(202,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ! [SX4: $i] :
~ ( ~ ~ ( ~ ( perp @ SX2 @ SX1 @ SX1 @ SX0 )
| ~ ( eqangle @ SX3 @ SX2 @ SX1 @ SX2 @ SX1 @ SX2 @ SX0 @ SX2 ) )
| ~ ( ~ ( coll @ SX4 @ SX0 @ SX1 )
| ~ ( coll @ SX4 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(203,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ! [SX4: $i] :
~ ( ~ ~ ( ~ ( perp @ SX2 @ SX3 @ SX0 @ SX1 )
| ~ ( eqangle @ SX0 @ SX2 @ SX2 @ SX3 @ SX2 @ SX3 @ SX2 @ SX1 ) )
| ~ ( ~ ( coll @ SX1 @ SX0 @ SX4 )
| ~ ( coll @ SX4 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(204,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ~ ( ~ ( circle @ SX3 @ SX0 @ SX1 @ SX2 )
| ~ ( perp @ SX3 @ SX0 @ SX0 @ SX4 ) )
| ( eqangle @ SX0 @ SX4 @ SX0 @ SX1 @ SX2 @ SX0 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(205,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ! [SX5: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SX0 @ SX1 @ SX0 @ SX2 )
| ~ ( perp @ SX2 @ SX0 @ SX2 @ SX3 ) )
| ~ ( midp @ SX4 @ SX1 @ SX3 ) )
| ( midp @ SX5 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(206,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( coll @ SX0 @ SX1 @ SX2 )
| ( coll @ SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(207,plain,
( ( coll @ sK6_SY171 @ sK7_SY175 @ sK8_SY178 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(208,plain,
! [SV1: $i] :
( ( ! [SY181: $i,SY182: $i,SY183: $i,SY184: $i,SY185: $i] :
( ~ ~ ( ~ ( perp @ SV1 @ SY181 @ SY182 @ SY183 )
| ~ ( perp @ SY182 @ SY183 @ SY184 @ SY185 ) )
| ( para @ SV1 @ SY181 @ SY184 @ SY185 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(209,plain,
! [SV2: $i] :
( ( ! [SY186: $i,SY187: $i,SY188: $i] :
~ ! [SY189: $i] :
~ ~ ! [SY190: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SY188 @ SY186 @ SY187 )
| ~ ( perp @ SY186 @ SY188 @ SV2 @ SY187 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY189 @ SY187 @ SY186 )
| ~ ( perp @ SV2 @ SY189 @ SY187 @ SY186 ) )
| ~ ( coll @ SY190 @ SY187 @ SV2 ) )
| ~ ( perp @ SY186 @ SY190 @ SY187 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(210,plain,
! [SV3: $i] :
( ( ! [SY191: $i,SY192: $i,SY193: $i] :
( ~ ( perp @ SV3 @ SY191 @ SY192 @ SY193 )
| ( perp @ SV3 @ SY191 @ SY193 @ SY192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(211,plain,
! [SV4: $i] :
( ( ! [SY194: $i,SY195: $i,SY196: $i,SY197: $i,SY198: $i] :
~ ! [SY199: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SY194 @ SY195 @ SY196 )
| ~ ( coll @ SY197 @ SV4 @ SY195 ) )
| ~ ( coll @ SY197 @ SY194 @ SY196 ) )
| ~ ( coll @ SY198 @ SV4 @ SY194 ) )
| ~ ( ~ ( coll @ SY197 @ SY198 @ SY199 )
| ~ ( coll @ SY199 @ SY195 @ SY196 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(212,plain,
! [SV5: $i] :
( ( ! [SY200: $i,SY201: $i,SY202: $i,SY203: $i,SY204: $i,SY205: $i,SY206: $i] :
( ~ ~ ( ~ ( eqangle @ SV5 @ SY200 @ SY201 @ SY202 @ SY203 @ SY204 @ SY205 @ SY206 )
| ~ ( perp @ SY203 @ SY204 @ SY205 @ SY206 ) )
| ( perp @ SV5 @ SY200 @ SY201 @ SY202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(213,plain,
! [SV6: $i] :
( ( ! [SY207: $i,SY208: $i,SY209: $i] :
( ~ ~ ( ~ ( cong @ SY209 @ SV6 @ SY209 @ SY207 )
| ~ ( cong @ SY209 @ SV6 @ SY209 @ SY208 ) )
| ( circle @ SY209 @ SV6 @ SY207 @ SY208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(214,plain,
! [SV7: $i] :
( ( ! [SY210: $i,SY211: $i,SY212: $i] :
( ~ ~ ( ~ ( circle @ SY212 @ SV7 @ SY210 @ SY211 )
| ~ ( coll @ SY212 @ SV7 @ SY211 ) )
| ( perp @ SV7 @ SY210 @ SY210 @ SY211 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(215,plain,
! [SV8: $i] :
( ( ! [SY213: $i,SY214: $i,SY215: $i] :
( ~ ~ ( ~ ( cong @ SV8 @ SY214 @ SY213 @ SY214 )
| ~ ( cong @ SV8 @ SY215 @ SY213 @ SY215 ) )
| ( perp @ SV8 @ SY213 @ SY214 @ SY215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(216,plain,
! [SV9: $i] :
( ( ! [SY216: $i,SY217: $i,SY218: $i,SY219: $i,SY220: $i] :
~ ! [SY221: $i] :
~ ~ ! [SY222: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY219 @ SV9 @ SY216 @ SY217 )
| ~ ( cong @ SY219 @ SV9 @ SY219 @ SY218 ) )
| ~ ( cong @ SY220 @ SV9 @ SY220 @ SY216 ) )
| ~ ( ( SY219 != SY220 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY221 @ SV9 @ SY217 )
| ~ ( cong @ SY221 @ SY220 @ SY220 @ SV9 ) )
| ~ ( coll @ SY222 @ SY216 @ SY218 ) )
| ~ ( cong @ SY222 @ SY220 @ SY220 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(217,plain,
! [SV10: $i] :
( ( ! [SY223: $i,SY224: $i,SY225: $i] :
( ~ ~ ( ~ ( coll @ SV10 @ SY223 @ SY224 )
| ~ ( coll @ SV10 @ SY223 @ SY225 ) )
| ( coll @ SY224 @ SY225 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(218,plain,
! [SV11: $i] :
( ( ! [SY226: $i,SY227: $i] :
( ~ ( para @ SV11 @ SY226 @ SV11 @ SY227 )
| ( coll @ SV11 @ SY226 @ SY227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(219,plain,
! [SV12: $i] :
( ( ! [SY228: $i,SY229: $i,SY230: $i,SY231: $i] :
~ ! [SY232: $i] :
~ ( ~ ~ ( ~ ( perp @ SV12 @ SY229 @ SY229 @ SY228 )
| ~ ( coll @ SY228 @ SY230 @ SY231 ) )
| ~ ( ~ ( coll @ SY232 @ SY230 @ SY231 )
| ~ ( perp @ SY232 @ SV12 @ SY230 @ SY231 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(220,plain,
! [SV13: $i] :
( ( ! [SY233: $i,SY234: $i,SY235: $i] :
~ ! [SY236: $i] :
~ ( ~ ( circle @ SY235 @ SV13 @ SY233 @ SY234 )
| ( perp @ SY236 @ SV13 @ SV13 @ SY235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(221,plain,
! [SV14: $i] :
( ( ! [SY237: $i,SY238: $i,SY239: $i] :
~ ! [SY240: $i] :
~ ( ~ ~ ( ~ ( perp @ SV14 @ SY238 @ SY238 @ SY237 )
| ~ ( cyclic @ SV14 @ SY237 @ SY238 @ SY239 ) )
| ( circle @ SY240 @ SV14 @ SY237 @ SY238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(222,plain,
! [SV15: $i] :
( ( ! [SY241: $i,SY242: $i,SY243: $i,SY244: $i] :
( ~ ~ ( ~ ( circle @ SY243 @ SV15 @ SY241 @ SY242 )
| ~ ( eqangle @ SV15 @ SY244 @ SV15 @ SY241 @ SY242 @ SV15 @ SY242 @ SY241 ) )
| ( perp @ SY243 @ SV15 @ SV15 @ SY244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(223,plain,
! [SV16: $i] :
( ( ! [SY245: $i,SY246: $i,SY247: $i,SY248: $i,SY249: $i,SY250: $i] :
~ ! [SY251: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY248 @ SV16 @ SY245 )
| ~ ( midp @ SY249 @ SY246 @ SY247 ) )
| ~ ( coll @ SY246 @ SV16 @ SY245 ) )
| ~ ( coll @ SY247 @ SV16 @ SY245 ) )
| ( midp @ SY251 @ SV16 @ SY250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(224,plain,
! [SV17: $i] :
( ( ! [SY252: $i,SY253: $i,SY254: $i] :
( ~ ( perp @ SV17 @ SY252 @ SY253 @ SY254 )
| ( perp @ SY253 @ SY254 @ SV17 @ SY252 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(225,plain,
! [SV18: $i] :
( ( ! [SY255: $i,SY256: $i] :
~ ! [SY257: $i] :
~ ( ~ ~ ( ~ ( cong @ SY256 @ SV18 @ SY256 @ SY255 )
| ~ ( perp @ SV18 @ SY256 @ SY256 @ SY255 ) )
| ~ ( ~ ( coll @ SV18 @ SY256 @ SY257 )
| ~ ( cong @ SY256 @ SV18 @ SY256 @ SY257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(226,plain,
! [SV19: $i] :
( ( ! [SY258: $i,SY259: $i] :
( ~ ( midp @ SV19 @ SY258 @ SY259 )
| ( coll @ SV19 @ SY258 @ SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(227,plain,
! [SV20: $i] :
( ( ! [SY260: $i,SY261: $i] :
( ~ ( coll @ SV20 @ SY260 @ SY261 )
| ( coll @ SV20 @ SY261 @ SY260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(228,plain,
! [SV21: $i] :
( ( ! [SY262: $i,SY263: $i,SY264: $i] :
~ ! [SY265: $i] :
~ ( ~ ~ ( ~ ( perp @ SY263 @ SY264 @ SV21 @ SY262 )
| ~ ( cong @ SY263 @ SV21 @ SY263 @ SY262 ) )
| ~ ( ~ ( coll @ SY262 @ SV21 @ SY265 )
| ~ ( coll @ SY265 @ SY263 @ SY264 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(229,plain,
! [SV22: $i] :
( ( ! [SY266: $i,SY267: $i,SY268: $i,SY269: $i,SY270: $i] :
( ~ ~ ( ~ ( para @ SV22 @ SY266 @ SY267 @ SY268 )
| ~ ( perp @ SY267 @ SY268 @ SY269 @ SY270 ) )
| ( perp @ SV22 @ SY266 @ SY269 @ SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(230,plain,
! [SV23: $i] :
( ( ! [SY271: $i,SY272: $i,SY273: $i] :
~ ! [SY274: $i] :
~ ( ~ ~ ( ~ ( perp @ SY272 @ SY271 @ SY271 @ SV23 )
| ~ ( eqangle @ SY273 @ SY272 @ SY271 @ SY272 @ SY271 @ SY272 @ SV23 @ SY272 ) )
| ~ ( ~ ( coll @ SY274 @ SV23 @ SY271 )
| ~ ( coll @ SY274 @ SY272 @ SY273 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(231,plain,
! [SV24: $i] :
( ( ! [SY275: $i,SY276: $i,SY277: $i] :
~ ! [SY278: $i] :
~ ( ~ ~ ( ~ ( perp @ SY276 @ SY277 @ SV24 @ SY275 )
| ~ ( eqangle @ SV24 @ SY276 @ SY276 @ SY277 @ SY276 @ SY277 @ SY276 @ SY275 ) )
| ~ ( ~ ( coll @ SY275 @ SV24 @ SY278 )
| ~ ( coll @ SY278 @ SY276 @ SY277 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(232,plain,
! [SV25: $i] :
( ( ! [SY279: $i,SY280: $i,SY281: $i,SY282: $i] :
( ~ ~ ( ~ ( circle @ SY281 @ SV25 @ SY279 @ SY280 )
| ~ ( perp @ SY281 @ SV25 @ SV25 @ SY282 ) )
| ( eqangle @ SV25 @ SY282 @ SV25 @ SY279 @ SY280 @ SV25 @ SY280 @ SY279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(233,plain,
! [SV26: $i] :
( ( ! [SY283: $i,SY284: $i,SY285: $i,SY286: $i] :
~ ! [SY287: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SY283 @ SV26 @ SY284 )
| ~ ( perp @ SY284 @ SV26 @ SY284 @ SY285 ) )
| ~ ( midp @ SY286 @ SY283 @ SY285 ) )
| ( midp @ SY287 @ SV26 @ SY284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(234,plain,
! [SV27: $i] :
( ( ! [SY288: $i,SY289: $i] :
( ~ ( coll @ SV27 @ SY288 @ SY289 )
| ( coll @ SY288 @ SV27 @ SY289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(235,plain,
! [SV28: $i,SV1: $i] :
( ( ! [SY290: $i,SY291: $i,SY292: $i,SY293: $i] :
( ~ ~ ( ~ ( perp @ SV1 @ SV28 @ SY290 @ SY291 )
| ~ ( perp @ SY290 @ SY291 @ SY292 @ SY293 ) )
| ( para @ SV1 @ SV28 @ SY292 @ SY293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(236,plain,
! [SV29: $i,SV2: $i] :
( ( ! [SY294: $i,SY295: $i] :
~ ! [SY296: $i] :
~ ~ ! [SY297: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SY295 @ SV29 @ SY294 )
| ~ ( perp @ SV29 @ SY295 @ SV2 @ SY294 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY296 @ SY294 @ SV29 )
| ~ ( perp @ SV2 @ SY296 @ SY294 @ SV29 ) )
| ~ ( coll @ SY297 @ SY294 @ SV2 ) )
| ~ ( perp @ SV29 @ SY297 @ SY294 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(237,plain,
! [SV30: $i,SV3: $i] :
( ( ! [SY298: $i,SY299: $i] :
( ~ ( perp @ SV3 @ SV30 @ SY298 @ SY299 )
| ( perp @ SV3 @ SV30 @ SY299 @ SY298 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(238,plain,
! [SV31: $i,SV4: $i] :
( ( ! [SY300: $i,SY301: $i,SY302: $i,SY303: $i] :
~ ! [SY304: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SY300 @ SY301 )
| ~ ( coll @ SY302 @ SV4 @ SY300 ) )
| ~ ( coll @ SY302 @ SV31 @ SY301 ) )
| ~ ( coll @ SY303 @ SV4 @ SV31 ) )
| ~ ( ~ ( coll @ SY302 @ SY303 @ SY304 )
| ~ ( coll @ SY304 @ SY300 @ SY301 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(239,plain,
! [SV32: $i,SV5: $i] :
( ( ! [SY305: $i,SY306: $i,SY307: $i,SY308: $i,SY309: $i,SY310: $i] :
( ~ ~ ( ~ ( eqangle @ SV5 @ SV32 @ SY305 @ SY306 @ SY307 @ SY308 @ SY309 @ SY310 )
| ~ ( perp @ SY307 @ SY308 @ SY309 @ SY310 ) )
| ( perp @ SV5 @ SV32 @ SY305 @ SY306 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(240,plain,
! [SV33: $i,SV6: $i] :
( ( ! [SY311: $i,SY312: $i] :
( ~ ~ ( ~ ( cong @ SY312 @ SV6 @ SY312 @ SV33 )
| ~ ( cong @ SY312 @ SV6 @ SY312 @ SY311 ) )
| ( circle @ SY312 @ SV6 @ SV33 @ SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(241,plain,
! [SV34: $i,SV7: $i] :
( ( ! [SY313: $i,SY314: $i] :
( ~ ~ ( ~ ( circle @ SY314 @ SV7 @ SV34 @ SY313 )
| ~ ( coll @ SY314 @ SV7 @ SY313 ) )
| ( perp @ SV7 @ SV34 @ SV34 @ SY313 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(242,plain,
! [SV35: $i,SV8: $i] :
( ( ! [SY315: $i,SY316: $i] :
( ~ ~ ( ~ ( cong @ SV8 @ SY315 @ SV35 @ SY315 )
| ~ ( cong @ SV8 @ SY316 @ SV35 @ SY316 ) )
| ( perp @ SV8 @ SV35 @ SY315 @ SY316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(243,plain,
! [SV36: $i,SV9: $i] :
( ( ! [SY317: $i,SY318: $i,SY319: $i,SY320: $i] :
~ ! [SY321: $i] :
~ ~ ! [SY322: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY319 @ SV9 @ SV36 @ SY317 )
| ~ ( cong @ SY319 @ SV9 @ SY319 @ SY318 ) )
| ~ ( cong @ SY320 @ SV9 @ SY320 @ SV36 ) )
| ~ ( ( SY319 != SY320 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY321 @ SV9 @ SY317 )
| ~ ( cong @ SY321 @ SY320 @ SY320 @ SV9 ) )
| ~ ( coll @ SY322 @ SV36 @ SY318 ) )
| ~ ( cong @ SY322 @ SY320 @ SY320 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(244,plain,
! [SV37: $i,SV10: $i] :
( ( ! [SY323: $i,SY324: $i] :
( ~ ~ ( ~ ( coll @ SV10 @ SV37 @ SY323 )
| ~ ( coll @ SV10 @ SV37 @ SY324 ) )
| ( coll @ SY323 @ SY324 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(245,plain,
! [SV38: $i,SV11: $i] :
( ( ! [SY325: $i] :
( ~ ( para @ SV11 @ SV38 @ SV11 @ SY325 )
| ( coll @ SV11 @ SV38 @ SY325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(246,plain,
! [SV39: $i,SV12: $i] :
( ( ! [SY326: $i,SY327: $i,SY328: $i] :
~ ! [SY329: $i] :
~ ( ~ ~ ( ~ ( perp @ SV12 @ SY326 @ SY326 @ SV39 )
| ~ ( coll @ SV39 @ SY327 @ SY328 ) )
| ~ ( ~ ( coll @ SY329 @ SY327 @ SY328 )
| ~ ( perp @ SY329 @ SV12 @ SY327 @ SY328 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(247,plain,
! [SV40: $i,SV13: $i] :
( ( ! [SY330: $i,SY331: $i] :
~ ! [SY332: $i] :
~ ( ~ ( circle @ SY331 @ SV13 @ SV40 @ SY330 )
| ( perp @ SY332 @ SV13 @ SV13 @ SY331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(248,plain,
! [SV41: $i,SV14: $i] :
( ( ! [SY333: $i,SY334: $i] :
~ ! [SY335: $i] :
~ ( ~ ~ ( ~ ( perp @ SV14 @ SY333 @ SY333 @ SV41 )
| ~ ( cyclic @ SV14 @ SV41 @ SY333 @ SY334 ) )
| ( circle @ SY335 @ SV14 @ SV41 @ SY333 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(249,plain,
! [SV42: $i,SV15: $i] :
( ( ! [SY336: $i,SY337: $i,SY338: $i] :
( ~ ~ ( ~ ( circle @ SY337 @ SV15 @ SV42 @ SY336 )
| ~ ( eqangle @ SV15 @ SY338 @ SV15 @ SV42 @ SY336 @ SV15 @ SY336 @ SV42 ) )
| ( perp @ SY337 @ SV15 @ SV15 @ SY338 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(250,plain,
! [SV43: $i,SV16: $i] :
( ( ! [SY339: $i,SY340: $i,SY341: $i,SY342: $i,SY343: $i] :
~ ! [SY344: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY341 @ SV16 @ SV43 )
| ~ ( midp @ SY342 @ SY339 @ SY340 ) )
| ~ ( coll @ SY339 @ SV16 @ SV43 ) )
| ~ ( coll @ SY340 @ SV16 @ SV43 ) )
| ( midp @ SY344 @ SV16 @ SY343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(251,plain,
! [SV44: $i,SV17: $i] :
( ( ! [SY345: $i,SY346: $i] :
( ~ ( perp @ SV17 @ SV44 @ SY345 @ SY346 )
| ( perp @ SY345 @ SY346 @ SV17 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(252,plain,
! [SV45: $i,SV18: $i] :
( ( ! [SY347: $i] :
~ ! [SY348: $i] :
~ ( ~ ~ ( ~ ( cong @ SY347 @ SV18 @ SY347 @ SV45 )
| ~ ( perp @ SV18 @ SY347 @ SY347 @ SV45 ) )
| ~ ( ~ ( coll @ SV18 @ SY347 @ SY348 )
| ~ ( cong @ SY347 @ SV18 @ SY347 @ SY348 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(253,plain,
! [SV46: $i,SV19: $i] :
( ( ! [SY349: $i] :
( ~ ( midp @ SV19 @ SV46 @ SY349 )
| ( coll @ SV19 @ SV46 @ SY349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(254,plain,
! [SV47: $i,SV20: $i] :
( ( ! [SY350: $i] :
( ~ ( coll @ SV20 @ SV47 @ SY350 )
| ( coll @ SV20 @ SY350 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(255,plain,
! [SV48: $i,SV21: $i] :
( ( ! [SY351: $i,SY352: $i] :
~ ! [SY353: $i] :
~ ( ~ ~ ( ~ ( perp @ SY351 @ SY352 @ SV21 @ SV48 )
| ~ ( cong @ SY351 @ SV21 @ SY351 @ SV48 ) )
| ~ ( ~ ( coll @ SV48 @ SV21 @ SY353 )
| ~ ( coll @ SY353 @ SY351 @ SY352 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(256,plain,
! [SV49: $i,SV22: $i] :
( ( ! [SY354: $i,SY355: $i,SY356: $i,SY357: $i] :
( ~ ~ ( ~ ( para @ SV22 @ SV49 @ SY354 @ SY355 )
| ~ ( perp @ SY354 @ SY355 @ SY356 @ SY357 ) )
| ( perp @ SV22 @ SV49 @ SY356 @ SY357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(257,plain,
! [SV23: $i,SV50: $i] :
( ( ! [SY358: $i,SY359: $i] :
~ ! [SY360: $i] :
~ ( ~ ~ ( ~ ( perp @ SY358 @ SV50 @ SV50 @ SV23 )
| ~ ( eqangle @ SY359 @ SY358 @ SV50 @ SY358 @ SV50 @ SY358 @ SV23 @ SY358 ) )
| ~ ( ~ ( coll @ SY360 @ SV23 @ SV50 )
| ~ ( coll @ SY360 @ SY358 @ SY359 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(258,plain,
! [SV51: $i,SV24: $i] :
( ( ! [SY361: $i,SY362: $i] :
~ ! [SY363: $i] :
~ ( ~ ~ ( ~ ( perp @ SY361 @ SY362 @ SV24 @ SV51 )
| ~ ( eqangle @ SV24 @ SY361 @ SY361 @ SY362 @ SY361 @ SY362 @ SY361 @ SV51 ) )
| ~ ( ~ ( coll @ SV51 @ SV24 @ SY363 )
| ~ ( coll @ SY363 @ SY361 @ SY362 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(259,plain,
! [SV52: $i,SV25: $i] :
( ( ! [SY364: $i,SY365: $i,SY366: $i] :
( ~ ~ ( ~ ( circle @ SY365 @ SV25 @ SV52 @ SY364 )
| ~ ( perp @ SY365 @ SV25 @ SV25 @ SY366 ) )
| ( eqangle @ SV25 @ SY366 @ SV25 @ SV52 @ SY364 @ SV25 @ SY364 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(260,plain,
! [SV53: $i,SV26: $i] :
( ( ! [SY367: $i,SY368: $i,SY369: $i] :
~ ! [SY370: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SY367 )
| ~ ( perp @ SY367 @ SV26 @ SY367 @ SY368 ) )
| ~ ( midp @ SY369 @ SV53 @ SY368 ) )
| ( midp @ SY370 @ SV26 @ SY367 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(261,plain,
! [SV54: $i,SV27: $i] :
( ( ! [SY371: $i] :
( ~ ( coll @ SV27 @ SV54 @ SY371 )
| ( coll @ SV54 @ SV27 @ SY371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(262,plain,
! [SV55: $i,SV28: $i,SV1: $i] :
( ( ! [SY372: $i,SY373: $i,SY374: $i] :
( ~ ~ ( ~ ( perp @ SV1 @ SV28 @ SV55 @ SY372 )
| ~ ( perp @ SV55 @ SY372 @ SY373 @ SY374 ) )
| ( para @ SV1 @ SV28 @ SY373 @ SY374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(263,plain,
! [SV56: $i,SV29: $i,SV2: $i] :
( ( ! [SY375: $i] :
~ ! [SY376: $i] :
~ ~ ! [SY377: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SY375 @ SV29 @ SV56 )
| ~ ( perp @ SV29 @ SY375 @ SV2 @ SV56 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY376 @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ SY376 @ SV56 @ SV29 ) )
| ~ ( coll @ SY377 @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ SY377 @ SV56 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(264,plain,
! [SV57: $i,SV30: $i,SV3: $i] :
( ( ! [SY378: $i] :
( ~ ( perp @ SV3 @ SV30 @ SV57 @ SY378 )
| ( perp @ SV3 @ SV30 @ SY378 @ SV57 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(265,plain,
! [SV58: $i,SV31: $i,SV4: $i] :
( ( ! [SY379: $i,SY380: $i,SY381: $i] :
~ ! [SY382: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SY379 )
| ~ ( coll @ SY380 @ SV4 @ SV58 ) )
| ~ ( coll @ SY380 @ SV31 @ SY379 ) )
| ~ ( coll @ SY381 @ SV4 @ SV31 ) )
| ~ ( ~ ( coll @ SY380 @ SY381 @ SY382 )
| ~ ( coll @ SY382 @ SV58 @ SY379 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(266,plain,
! [SV59: $i,SV32: $i,SV5: $i] :
( ( ! [SY383: $i,SY384: $i,SY385: $i,SY386: $i,SY387: $i] :
( ~ ~ ( ~ ( eqangle @ SV5 @ SV32 @ SV59 @ SY383 @ SY384 @ SY385 @ SY386 @ SY387 )
| ~ ( perp @ SY384 @ SY385 @ SY386 @ SY387 ) )
| ( perp @ SV5 @ SV32 @ SV59 @ SY383 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(267,plain,
! [SV60: $i,SV33: $i,SV6: $i] :
( ( ! [SY388: $i] :
( ~ ~ ( ~ ( cong @ SY388 @ SV6 @ SY388 @ SV33 )
| ~ ( cong @ SY388 @ SV6 @ SY388 @ SV60 ) )
| ( circle @ SY388 @ SV6 @ SV33 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(268,plain,
! [SV61: $i,SV34: $i,SV7: $i] :
( ( ! [SY389: $i] :
( ~ ~ ( ~ ( circle @ SY389 @ SV7 @ SV34 @ SV61 )
| ~ ( coll @ SY389 @ SV7 @ SV61 ) )
| ( perp @ SV7 @ SV34 @ SV34 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(269,plain,
! [SV35: $i,SV62: $i,SV8: $i] :
( ( ! [SY390: $i] :
( ~ ~ ( ~ ( cong @ SV8 @ SV62 @ SV35 @ SV62 )
| ~ ( cong @ SV8 @ SY390 @ SV35 @ SY390 ) )
| ( perp @ SV8 @ SV35 @ SV62 @ SY390 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(270,plain,
! [SV63: $i,SV36: $i,SV9: $i] :
( ( ! [SY391: $i,SY392: $i,SY393: $i] :
~ ! [SY394: $i] :
~ ~ ! [SY395: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY392 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SY392 @ SV9 @ SY392 @ SY391 ) )
| ~ ( cong @ SY393 @ SV9 @ SY393 @ SV36 ) )
| ~ ( ( SY392 != SY393 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY394 @ SV9 @ SV63 )
| ~ ( cong @ SY394 @ SY393 @ SY393 @ SV9 ) )
| ~ ( coll @ SY395 @ SV36 @ SY391 ) )
| ~ ( cong @ SY395 @ SY393 @ SY393 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(271,plain,
! [SV64: $i,SV37: $i,SV10: $i] :
( ( ! [SY396: $i] :
( ~ ~ ( ~ ( coll @ SV10 @ SV37 @ SV64 )
| ~ ( coll @ SV10 @ SV37 @ SY396 ) )
| ( coll @ SV64 @ SY396 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(272,plain,
! [SV65: $i,SV38: $i,SV11: $i] :
( ( ~ ( para @ SV11 @ SV38 @ SV11 @ SV65 )
| ( coll @ SV11 @ SV38 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(273,plain,
! [SV39: $i,SV66: $i,SV12: $i] :
( ( ! [SY397: $i,SY398: $i] :
~ ! [SY399: $i] :
~ ( ~ ~ ( ~ ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
| ~ ( coll @ SV39 @ SY397 @ SY398 ) )
| ~ ( ~ ( coll @ SY399 @ SY397 @ SY398 )
| ~ ( perp @ SY399 @ SV12 @ SY397 @ SY398 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(274,plain,
! [SV67: $i,SV40: $i,SV13: $i] :
( ( ! [SY400: $i] :
~ ! [SY401: $i] :
~ ( ~ ( circle @ SY400 @ SV13 @ SV40 @ SV67 )
| ( perp @ SY401 @ SV13 @ SV13 @ SY400 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(275,plain,
! [SV41: $i,SV68: $i,SV14: $i] :
( ( ! [SY402: $i] :
~ ! [SY403: $i] :
~ ( ~ ~ ( ~ ( perp @ SV14 @ SV68 @ SV68 @ SV41 )
| ~ ( cyclic @ SV14 @ SV41 @ SV68 @ SY402 ) )
| ( circle @ SY403 @ SV14 @ SV41 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(276,plain,
! [SV69: $i,SV42: $i,SV15: $i] :
( ( ! [SY404: $i,SY405: $i] :
( ~ ~ ( ~ ( circle @ SY404 @ SV15 @ SV42 @ SV69 )
| ~ ( eqangle @ SV15 @ SY405 @ SV15 @ SV42 @ SV69 @ SV15 @ SV69 @ SV42 ) )
| ( perp @ SY404 @ SV15 @ SV15 @ SY405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(277,plain,
! [SV70: $i,SV43: $i,SV16: $i] :
( ( ! [SY406: $i,SY407: $i,SY408: $i,SY409: $i] :
~ ! [SY410: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY407 @ SV16 @ SV43 )
| ~ ( midp @ SY408 @ SV70 @ SY406 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
| ~ ( coll @ SY406 @ SV16 @ SV43 ) )
| ( midp @ SY410 @ SV16 @ SY409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(278,plain,
! [SV71: $i,SV44: $i,SV17: $i] :
( ( ! [SY411: $i] :
( ~ ( perp @ SV17 @ SV44 @ SV71 @ SY411 )
| ( perp @ SV71 @ SY411 @ SV17 @ SV44 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(279,plain,
! [SV45: $i,SV18: $i,SV72: $i] :
( ( ~ ! [SY412: $i] :
~ ( ~ ~ ( ~ ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
| ~ ( perp @ SV18 @ SV72 @ SV72 @ SV45 ) )
| ~ ( ~ ( coll @ SV18 @ SV72 @ SY412 )
| ~ ( cong @ SV72 @ SV18 @ SV72 @ SY412 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(280,plain,
! [SV73: $i,SV46: $i,SV19: $i] :
( ( ~ ( midp @ SV19 @ SV46 @ SV73 )
| ( coll @ SV19 @ SV46 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(281,plain,
! [SV74: $i,SV47: $i,SV20: $i] :
( ( ~ ( coll @ SV20 @ SV47 @ SV74 )
| ( coll @ SV20 @ SV74 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(282,plain,
! [SV48: $i,SV21: $i,SV75: $i] :
( ( ! [SY413: $i] :
~ ! [SY414: $i] :
~ ( ~ ~ ( ~ ( perp @ SV75 @ SY413 @ SV21 @ SV48 )
| ~ ( cong @ SV75 @ SV21 @ SV75 @ SV48 ) )
| ~ ( ~ ( coll @ SV48 @ SV21 @ SY414 )
| ~ ( coll @ SY414 @ SV75 @ SY413 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(283,plain,
! [SV76: $i,SV49: $i,SV22: $i] :
( ( ! [SY415: $i,SY416: $i,SY417: $i] :
( ~ ~ ( ~ ( para @ SV22 @ SV49 @ SV76 @ SY415 )
| ~ ( perp @ SV76 @ SY415 @ SY416 @ SY417 ) )
| ( perp @ SV22 @ SV49 @ SY416 @ SY417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(284,plain,
! [SV23: $i,SV50: $i,SV77: $i] :
( ( ! [SY418: $i] :
~ ! [SY419: $i] :
~ ( ~ ~ ( ~ ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
| ~ ( eqangle @ SY418 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 ) )
| ~ ( ~ ( coll @ SY419 @ SV23 @ SV50 )
| ~ ( coll @ SY419 @ SV77 @ SY418 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(285,plain,
! [SV51: $i,SV24: $i,SV78: $i] :
( ( ! [SY420: $i] :
~ ! [SY421: $i] :
~ ( ~ ~ ( ~ ( perp @ SV78 @ SY420 @ SV24 @ SV51 )
| ~ ( eqangle @ SV24 @ SV78 @ SV78 @ SY420 @ SV78 @ SY420 @ SV78 @ SV51 ) )
| ~ ( ~ ( coll @ SV51 @ SV24 @ SY421 )
| ~ ( coll @ SY421 @ SV78 @ SY420 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(286,plain,
! [SV79: $i,SV52: $i,SV25: $i] :
( ( ! [SY422: $i,SY423: $i] :
( ~ ~ ( ~ ( circle @ SY422 @ SV25 @ SV52 @ SV79 )
| ~ ( perp @ SY422 @ SV25 @ SV25 @ SY423 ) )
| ( eqangle @ SV25 @ SY423 @ SV25 @ SV52 @ SV79 @ SV25 @ SV79 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(287,plain,
! [SV80: $i,SV53: $i,SV26: $i] :
( ( ! [SY424: $i,SY425: $i] :
~ ! [SY426: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SY424 ) )
| ~ ( midp @ SY425 @ SV53 @ SY424 ) )
| ( midp @ SY426 @ SV26 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(288,plain,
! [SV81: $i,SV54: $i,SV27: $i] :
( ( ~ ( coll @ SV27 @ SV54 @ SV81 )
| ( coll @ SV54 @ SV27 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(289,plain,
! [SV82: $i,SV55: $i,SV28: $i,SV1: $i] :
( ( ! [SY427: $i,SY428: $i] :
( ~ ~ ( ~ ( perp @ SV1 @ SV28 @ SV55 @ SV82 )
| ~ ( perp @ SV55 @ SV82 @ SY427 @ SY428 ) )
| ( para @ SV1 @ SV28 @ SY427 @ SY428 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(290,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ~ ! [SY429: $i] :
~ ~ ! [SY430: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
| ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY429 @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ SY429 @ SV56 @ SV29 ) )
| ~ ( coll @ SY430 @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ SY430 @ SV56 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(291,plain,
! [SV84: $i,SV57: $i,SV30: $i,SV3: $i] :
( ( ~ ( perp @ SV3 @ SV30 @ SV57 @ SV84 )
| ( perp @ SV3 @ SV30 @ SV84 @ SV57 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(292,plain,
! [SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ! [SY431: $i,SY432: $i] :
~ ! [SY433: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SY431 @ SV4 @ SV58 ) )
| ~ ( coll @ SY431 @ SV31 @ SV85 ) )
| ~ ( coll @ SY432 @ SV4 @ SV31 ) )
| ~ ( ~ ( coll @ SY431 @ SY432 @ SY433 )
| ~ ( coll @ SY433 @ SV58 @ SV85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(293,plain,
! [SV86: $i,SV59: $i,SV32: $i,SV5: $i] :
( ( ! [SY434: $i,SY435: $i,SY436: $i,SY437: $i] :
( ~ ~ ( ~ ( eqangle @ SV5 @ SV32 @ SV59 @ SV86 @ SY434 @ SY435 @ SY436 @ SY437 )
| ~ ( perp @ SY434 @ SY435 @ SY436 @ SY437 ) )
| ( perp @ SV5 @ SV32 @ SV59 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(294,plain,
! [SV60: $i,SV33: $i,SV6: $i,SV87: $i] :
( ( ~ ~ ( ~ ( cong @ SV87 @ SV6 @ SV87 @ SV33 )
| ~ ( cong @ SV87 @ SV6 @ SV87 @ SV60 ) )
| ( circle @ SV87 @ SV6 @ SV33 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(295,plain,
! [SV61: $i,SV34: $i,SV7: $i,SV88: $i] :
( ( ~ ~ ( ~ ( circle @ SV88 @ SV7 @ SV34 @ SV61 )
| ~ ( coll @ SV88 @ SV7 @ SV61 ) )
| ( perp @ SV7 @ SV34 @ SV34 @ SV61 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(296,plain,
! [SV89: $i,SV35: $i,SV62: $i,SV8: $i] :
( ( ~ ~ ( ~ ( cong @ SV8 @ SV62 @ SV35 @ SV62 )
| ~ ( cong @ SV8 @ SV89 @ SV35 @ SV89 ) )
| ( perp @ SV8 @ SV35 @ SV62 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(297,plain,
! [SV90: $i,SV63: $i,SV36: $i,SV9: $i] :
( ( ! [SY438: $i,SY439: $i] :
~ ! [SY440: $i] :
~ ~ ! [SY441: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SY438 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SY438 @ SV9 @ SY438 @ SV90 ) )
| ~ ( cong @ SY439 @ SV9 @ SY439 @ SV36 ) )
| ~ ( ( SY438 != SY439 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY440 @ SV9 @ SV63 )
| ~ ( cong @ SY440 @ SY439 @ SY439 @ SV9 ) )
| ~ ( coll @ SY441 @ SV36 @ SV90 ) )
| ~ ( cong @ SY441 @ SY439 @ SY439 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(298,plain,
! [SV91: $i,SV64: $i,SV37: $i,SV10: $i] :
( ( ~ ~ ( ~ ( coll @ SV10 @ SV37 @ SV64 )
| ~ ( coll @ SV10 @ SV37 @ SV91 ) )
| ( coll @ SV64 @ SV91 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(299,plain,
! [SV65: $i,SV38: $i,SV11: $i] :
( ( ( ~ ( para @ SV11 @ SV38 @ SV11 @ SV65 ) )
= $true )
| ( ( coll @ SV11 @ SV38 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[272]) ).
thf(300,plain,
! [SV92: $i,SV39: $i,SV66: $i,SV12: $i] :
( ( ! [SY442: $i] :
~ ! [SY443: $i] :
~ ( ~ ~ ( ~ ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
| ~ ( coll @ SV39 @ SV92 @ SY442 ) )
| ~ ( ~ ( coll @ SY443 @ SV92 @ SY442 )
| ~ ( perp @ SY443 @ SV12 @ SV92 @ SY442 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(301,plain,
! [SV67: $i,SV40: $i,SV13: $i,SV93: $i] :
( ( ~ ! [SY444: $i] :
~ ( ~ ( circle @ SV93 @ SV13 @ SV40 @ SV67 )
| ( perp @ SY444 @ SV13 @ SV13 @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(302,plain,
! [SV94: $i,SV41: $i,SV68: $i,SV14: $i] :
( ( ~ ! [SY445: $i] :
~ ( ~ ~ ( ~ ( perp @ SV14 @ SV68 @ SV68 @ SV41 )
| ~ ( cyclic @ SV14 @ SV41 @ SV68 @ SV94 ) )
| ( circle @ SY445 @ SV14 @ SV41 @ SV68 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(303,plain,
! [SV69: $i,SV42: $i,SV15: $i,SV95: $i] :
( ( ! [SY446: $i] :
( ~ ~ ( ~ ( circle @ SV95 @ SV15 @ SV42 @ SV69 )
| ~ ( eqangle @ SV15 @ SY446 @ SV15 @ SV42 @ SV69 @ SV15 @ SV69 @ SV42 ) )
| ( perp @ SV95 @ SV15 @ SV15 @ SY446 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(304,plain,
! [SV96: $i,SV70: $i,SV43: $i,SV16: $i] :
( ( ! [SY447: $i,SY448: $i,SY449: $i] :
~ ! [SY450: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY447 @ SV16 @ SV43 )
| ~ ( midp @ SY448 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
| ~ ( coll @ SV96 @ SV16 @ SV43 ) )
| ( midp @ SY450 @ SV16 @ SY449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(305,plain,
! [SV97: $i,SV71: $i,SV44: $i,SV17: $i] :
( ( ~ ( perp @ SV17 @ SV44 @ SV71 @ SV97 )
| ( perp @ SV71 @ SV97 @ SV17 @ SV44 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(306,plain,
! [SV45: $i,SV18: $i,SV72: $i] :
( ( ! [SY412: $i] :
~ ( ~ ~ ( ~ ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
| ~ ( perp @ SV18 @ SV72 @ SV72 @ SV45 ) )
| ~ ( ~ ( coll @ SV18 @ SV72 @ SY412 )
| ~ ( cong @ SV72 @ SV18 @ SV72 @ SY412 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(307,plain,
! [SV73: $i,SV46: $i,SV19: $i] :
( ( ( ~ ( midp @ SV19 @ SV46 @ SV73 ) )
= $true )
| ( ( coll @ SV19 @ SV46 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[280]) ).
thf(308,plain,
! [SV74: $i,SV47: $i,SV20: $i] :
( ( ( ~ ( coll @ SV20 @ SV47 @ SV74 ) )
= $true )
| ( ( coll @ SV20 @ SV74 @ SV47 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(309,plain,
! [SV48: $i,SV21: $i,SV98: $i,SV75: $i] :
( ( ~ ! [SY451: $i] :
~ ( ~ ~ ( ~ ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
| ~ ( cong @ SV75 @ SV21 @ SV75 @ SV48 ) )
| ~ ( ~ ( coll @ SV48 @ SV21 @ SY451 )
| ~ ( coll @ SY451 @ SV75 @ SV98 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(310,plain,
! [SV99: $i,SV76: $i,SV49: $i,SV22: $i] :
( ( ! [SY452: $i,SY453: $i] :
( ~ ~ ( ~ ( para @ SV22 @ SV49 @ SV76 @ SV99 )
| ~ ( perp @ SV76 @ SV99 @ SY452 @ SY453 ) )
| ( perp @ SV22 @ SV49 @ SY452 @ SY453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(311,plain,
! [SV100: $i,SV23: $i,SV50: $i,SV77: $i] :
( ( ~ ! [SY454: $i] :
~ ( ~ ~ ( ~ ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
| ~ ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 ) )
| ~ ( ~ ( coll @ SY454 @ SV23 @ SV50 )
| ~ ( coll @ SY454 @ SV77 @ SV100 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(312,plain,
! [SV51: $i,SV24: $i,SV101: $i,SV78: $i] :
( ( ~ ! [SY455: $i] :
~ ( ~ ~ ( ~ ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
| ~ ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 ) )
| ~ ( ~ ( coll @ SV51 @ SV24 @ SY455 )
| ~ ( coll @ SY455 @ SV78 @ SV101 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(313,plain,
! [SV79: $i,SV52: $i,SV25: $i,SV102: $i] :
( ( ! [SY456: $i] :
( ~ ~ ( ~ ( circle @ SV102 @ SV25 @ SV52 @ SV79 )
| ~ ( perp @ SV102 @ SV25 @ SV25 @ SY456 ) )
| ( eqangle @ SV25 @ SY456 @ SV25 @ SV52 @ SV79 @ SV25 @ SV79 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(314,plain,
! [SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ! [SY457: $i] :
~ ! [SY458: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) )
| ~ ( midp @ SY457 @ SV53 @ SV103 ) )
| ( midp @ SY458 @ SV26 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(315,plain,
! [SV81: $i,SV54: $i,SV27: $i] :
( ( ( ~ ( coll @ SV27 @ SV54 @ SV81 ) )
= $true )
| ( ( coll @ SV54 @ SV27 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[288]) ).
thf(316,plain,
! [SV104: $i,SV82: $i,SV55: $i,SV28: $i,SV1: $i] :
( ( ! [SY459: $i] :
( ~ ~ ( ~ ( perp @ SV1 @ SV28 @ SV55 @ SV82 )
| ~ ( perp @ SV55 @ SV82 @ SV104 @ SY459 ) )
| ( para @ SV1 @ SV28 @ SV104 @ SY459 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(317,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ! [SY429: $i] :
~ ~ ! [SY430: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
| ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY429 @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ SY429 @ SV56 @ SV29 ) )
| ~ ( coll @ SY430 @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ SY430 @ SV56 @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(318,plain,
! [SV84: $i,SV57: $i,SV30: $i,SV3: $i] :
( ( ( ~ ( perp @ SV3 @ SV30 @ SV57 @ SV84 ) )
= $true )
| ( ( perp @ SV3 @ SV30 @ SV84 @ SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[291]) ).
thf(319,plain,
! [SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ! [SY460: $i] :
~ ! [SY461: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
| ~ ( coll @ SV105 @ SV31 @ SV85 ) )
| ~ ( coll @ SY460 @ SV4 @ SV31 ) )
| ~ ( ~ ( coll @ SV105 @ SY460 @ SY461 )
| ~ ( coll @ SY461 @ SV58 @ SV85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(320,plain,
! [SV106: $i,SV86: $i,SV59: $i,SV32: $i,SV5: $i] :
( ( ! [SY462: $i,SY463: $i,SY464: $i] :
( ~ ~ ( ~ ( eqangle @ SV5 @ SV32 @ SV59 @ SV86 @ SV106 @ SY462 @ SY463 @ SY464 )
| ~ ( perp @ SV106 @ SY462 @ SY463 @ SY464 ) )
| ( perp @ SV5 @ SV32 @ SV59 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(321,plain,
! [SV60: $i,SV33: $i,SV6: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( cong @ SV87 @ SV6 @ SV87 @ SV33 )
| ~ ( cong @ SV87 @ SV6 @ SV87 @ SV60 ) ) )
= $true )
| ( ( circle @ SV87 @ SV6 @ SV33 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[294]) ).
thf(322,plain,
! [SV61: $i,SV34: $i,SV7: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( circle @ SV88 @ SV7 @ SV34 @ SV61 )
| ~ ( coll @ SV88 @ SV7 @ SV61 ) ) )
= $true )
| ( ( perp @ SV7 @ SV34 @ SV34 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[295]) ).
thf(323,plain,
! [SV89: $i,SV35: $i,SV62: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( cong @ SV8 @ SV62 @ SV35 @ SV62 )
| ~ ( cong @ SV8 @ SV89 @ SV35 @ SV89 ) ) )
= $true )
| ( ( perp @ SV8 @ SV35 @ SV62 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[296]) ).
thf(324,plain,
! [SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ! [SY465: $i] :
~ ! [SY466: $i] :
~ ~ ! [SY467: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SY465 @ SV9 @ SY465 @ SV36 ) )
| ~ ( ( SV107 != SY465 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY466 @ SV9 @ SV63 )
| ~ ( cong @ SY466 @ SY465 @ SY465 @ SV9 ) )
| ~ ( coll @ SY467 @ SV36 @ SV90 ) )
| ~ ( cong @ SY467 @ SY465 @ SY465 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(325,plain,
! [SV91: $i,SV64: $i,SV37: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( coll @ SV10 @ SV37 @ SV64 )
| ~ ( coll @ SV10 @ SV37 @ SV91 ) ) )
= $true )
| ( ( coll @ SV64 @ SV91 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[298]) ).
thf(326,plain,
! [SV65: $i,SV38: $i,SV11: $i] :
( ( ( para @ SV11 @ SV38 @ SV11 @ SV65 )
= $false )
| ( ( coll @ SV11 @ SV38 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(327,plain,
! [SV108: $i,SV92: $i,SV39: $i,SV66: $i,SV12: $i] :
( ( ~ ! [SY468: $i] :
~ ( ~ ~ ( ~ ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
| ~ ( coll @ SV39 @ SV92 @ SV108 ) )
| ~ ( ~ ( coll @ SY468 @ SV92 @ SV108 )
| ~ ( perp @ SY468 @ SV12 @ SV92 @ SV108 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(328,plain,
! [SV67: $i,SV40: $i,SV13: $i,SV93: $i] :
( ( ! [SY444: $i] :
~ ( ~ ( circle @ SV93 @ SV13 @ SV40 @ SV67 )
| ( perp @ SY444 @ SV13 @ SV13 @ SV93 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[301]) ).
thf(329,plain,
! [SV94: $i,SV41: $i,SV68: $i,SV14: $i] :
( ( ! [SY445: $i] :
~ ( ~ ~ ( ~ ( perp @ SV14 @ SV68 @ SV68 @ SV41 )
| ~ ( cyclic @ SV14 @ SV41 @ SV68 @ SV94 ) )
| ( circle @ SY445 @ SV14 @ SV41 @ SV68 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[302]) ).
thf(330,plain,
! [SV109: $i,SV69: $i,SV42: $i,SV15: $i,SV95: $i] :
( ( ~ ~ ( ~ ( circle @ SV95 @ SV15 @ SV42 @ SV69 )
| ~ ( eqangle @ SV15 @ SV109 @ SV15 @ SV42 @ SV69 @ SV15 @ SV69 @ SV42 ) )
| ( perp @ SV95 @ SV15 @ SV15 @ SV109 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(331,plain,
! [SV96: $i,SV70: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ! [SY469: $i,SY470: $i] :
~ ! [SY471: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SY469 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
| ~ ( coll @ SV96 @ SV16 @ SV43 ) )
| ( midp @ SY471 @ SV16 @ SY470 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(332,plain,
! [SV97: $i,SV71: $i,SV44: $i,SV17: $i] :
( ( ( ~ ( perp @ SV17 @ SV44 @ SV71 @ SV97 ) )
= $true )
| ( ( perp @ SV71 @ SV97 @ SV17 @ SV44 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(333,plain,
! [SV45: $i,SV18: $i,SV72: $i] :
( ( ~ ( ~ ~ ( ~ ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
| ~ ( perp @ SV18 @ SV72 @ SV72 @ SV45 ) )
| ~ ( ~ ( coll @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) )
| ~ ( cong @ SV72 @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[306]) ).
thf(334,plain,
! [SV73: $i,SV46: $i,SV19: $i] :
( ( ( midp @ SV19 @ SV46 @ SV73 )
= $false )
| ( ( coll @ SV19 @ SV46 @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(335,plain,
! [SV74: $i,SV47: $i,SV20: $i] :
( ( ( coll @ SV20 @ SV47 @ SV74 )
= $false )
| ( ( coll @ SV20 @ SV74 @ SV47 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[308]) ).
thf(336,plain,
! [SV48: $i,SV21: $i,SV98: $i,SV75: $i] :
( ( ! [SY451: $i] :
~ ( ~ ~ ( ~ ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
| ~ ( cong @ SV75 @ SV21 @ SV75 @ SV48 ) )
| ~ ( ~ ( coll @ SV48 @ SV21 @ SY451 )
| ~ ( coll @ SY451 @ SV75 @ SV98 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(337,plain,
! [SV111: $i,SV99: $i,SV76: $i,SV49: $i,SV22: $i] :
( ( ! [SY472: $i] :
( ~ ~ ( ~ ( para @ SV22 @ SV49 @ SV76 @ SV99 )
| ~ ( perp @ SV76 @ SV99 @ SV111 @ SY472 ) )
| ( perp @ SV22 @ SV49 @ SV111 @ SY472 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(338,plain,
! [SV100: $i,SV23: $i,SV50: $i,SV77: $i] :
( ( ! [SY454: $i] :
~ ( ~ ~ ( ~ ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
| ~ ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 ) )
| ~ ( ~ ( coll @ SY454 @ SV23 @ SV50 )
| ~ ( coll @ SY454 @ SV77 @ SV100 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(339,plain,
! [SV51: $i,SV24: $i,SV101: $i,SV78: $i] :
( ( ! [SY455: $i] :
~ ( ~ ~ ( ~ ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
| ~ ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 ) )
| ~ ( ~ ( coll @ SV51 @ SV24 @ SY455 )
| ~ ( coll @ SY455 @ SV78 @ SV101 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(340,plain,
! [SV112: $i,SV79: $i,SV52: $i,SV25: $i,SV102: $i] :
( ( ~ ~ ( ~ ( circle @ SV102 @ SV25 @ SV52 @ SV79 )
| ~ ( perp @ SV102 @ SV25 @ SV25 @ SV112 ) )
| ( eqangle @ SV25 @ SV112 @ SV25 @ SV52 @ SV79 @ SV25 @ SV79 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(341,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ~ ! [SY473: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) )
| ~ ( midp @ SV113 @ SV53 @ SV103 ) )
| ( midp @ SY473 @ SV26 @ SV80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(342,plain,
! [SV81: $i,SV54: $i,SV27: $i] :
( ( ( coll @ SV27 @ SV54 @ SV81 )
= $false )
| ( ( coll @ SV54 @ SV27 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(343,plain,
! [SV114: $i,SV104: $i,SV82: $i,SV55: $i,SV28: $i,SV1: $i] :
( ( ~ ~ ( ~ ( perp @ SV1 @ SV28 @ SV55 @ SV82 )
| ~ ( perp @ SV55 @ SV82 @ SV104 @ SV114 ) )
| ( para @ SV1 @ SV28 @ SV104 @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(344,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ~ ~ ! [SY474: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
| ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ SY474 @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ SY474 @ SV56 @ SV2 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[317]) ).
thf(345,plain,
! [SV84: $i,SV57: $i,SV30: $i,SV3: $i] :
( ( ( perp @ SV3 @ SV30 @ SV57 @ SV84 )
= $false )
| ( ( perp @ SV3 @ SV30 @ SV84 @ SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(346,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ~ ! [SY475: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
| ~ ( coll @ SV105 @ SV31 @ SV85 ) )
| ~ ( coll @ SV115 @ SV4 @ SV31 ) )
| ~ ( ~ ( coll @ SV105 @ SV115 @ SY475 )
| ~ ( coll @ SY475 @ SV58 @ SV85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(347,plain,
! [SV116: $i,SV106: $i,SV86: $i,SV59: $i,SV32: $i,SV5: $i] :
( ( ! [SY476: $i,SY477: $i] :
( ~ ~ ( ~ ( eqangle @ SV5 @ SV32 @ SV59 @ SV86 @ SV106 @ SV116 @ SY476 @ SY477 )
| ~ ( perp @ SV106 @ SV116 @ SY476 @ SY477 ) )
| ( perp @ SV5 @ SV32 @ SV59 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(348,plain,
! [SV60: $i,SV33: $i,SV6: $i,SV87: $i] :
( ( ( ~ ( ~ ( cong @ SV87 @ SV6 @ SV87 @ SV33 )
| ~ ( cong @ SV87 @ SV6 @ SV87 @ SV60 ) ) )
= $false )
| ( ( circle @ SV87 @ SV6 @ SV33 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[321]) ).
thf(349,plain,
! [SV61: $i,SV34: $i,SV7: $i,SV88: $i] :
( ( ( ~ ( ~ ( circle @ SV88 @ SV7 @ SV34 @ SV61 )
| ~ ( coll @ SV88 @ SV7 @ SV61 ) ) )
= $false )
| ( ( perp @ SV7 @ SV34 @ SV34 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[322]) ).
thf(350,plain,
! [SV89: $i,SV35: $i,SV62: $i,SV8: $i] :
( ( ( ~ ( ~ ( cong @ SV8 @ SV62 @ SV35 @ SV62 )
| ~ ( cong @ SV8 @ SV89 @ SV35 @ SV89 ) ) )
= $false )
| ( ( perp @ SV8 @ SV35 @ SV62 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[323]) ).
thf(351,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ~ ! [SY478: $i] :
~ ~ ! [SY479: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
| ~ ( ( SV107 != SV117 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY478 @ SV9 @ SV63 )
| ~ ( cong @ SY478 @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ SY479 @ SV36 @ SV90 ) )
| ~ ( cong @ SY479 @ SV117 @ SV117 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(352,plain,
! [SV91: $i,SV64: $i,SV37: $i,SV10: $i] :
( ( ( ~ ( ~ ( coll @ SV10 @ SV37 @ SV64 )
| ~ ( coll @ SV10 @ SV37 @ SV91 ) ) )
= $false )
| ( ( coll @ SV64 @ SV91 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[325]) ).
thf(353,plain,
! [SV108: $i,SV92: $i,SV39: $i,SV66: $i,SV12: $i] :
( ( ! [SY468: $i] :
~ ( ~ ~ ( ~ ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
| ~ ( coll @ SV39 @ SV92 @ SV108 ) )
| ~ ( ~ ( coll @ SY468 @ SV92 @ SV108 )
| ~ ( perp @ SY468 @ SV12 @ SV92 @ SV108 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(354,plain,
! [SV67: $i,SV40: $i,SV13: $i,SV93: $i] :
( ( ~ ( ~ ( circle @ SV93 @ SV13 @ SV40 @ SV67 )
| ( perp @ ( sK12_SY444 @ SV67 @ SV40 @ SV13 @ SV93 ) @ SV13 @ SV13 @ SV93 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[328]) ).
thf(355,plain,
! [SV94: $i,SV41: $i,SV68: $i,SV14: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV14 @ SV68 @ SV68 @ SV41 )
| ~ ( cyclic @ SV14 @ SV41 @ SV68 @ SV94 ) )
| ( circle @ ( sK13_SY445 @ SV94 @ SV41 @ SV68 @ SV14 ) @ SV14 @ SV41 @ SV68 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[329]) ).
thf(356,plain,
! [SV109: $i,SV69: $i,SV42: $i,SV15: $i,SV95: $i] :
( ( ( ~ ~ ( ~ ( circle @ SV95 @ SV15 @ SV42 @ SV69 )
| ~ ( eqangle @ SV15 @ SV109 @ SV15 @ SV42 @ SV69 @ SV15 @ SV69 @ SV42 ) ) )
= $true )
| ( ( perp @ SV95 @ SV15 @ SV15 @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[330]) ).
thf(357,plain,
! [SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ! [SY480: $i] :
~ ! [SY481: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
| ~ ( coll @ SV96 @ SV16 @ SV43 ) )
| ( midp @ SY481 @ SV16 @ SY480 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(358,plain,
! [SV97: $i,SV71: $i,SV44: $i,SV17: $i] :
( ( ( perp @ SV17 @ SV44 @ SV71 @ SV97 )
= $false )
| ( ( perp @ SV71 @ SV97 @ SV17 @ SV44 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(359,plain,
! [SV45: $i,SV18: $i,SV72: $i] :
( ( ~ ~ ( ~ ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
| ~ ( perp @ SV18 @ SV72 @ SV72 @ SV45 ) )
| ~ ( ~ ( coll @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) )
| ~ ( cong @ SV72 @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[333]) ).
thf(360,plain,
! [SV48: $i,SV21: $i,SV98: $i,SV75: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
| ~ ( cong @ SV75 @ SV21 @ SV75 @ SV48 ) )
| ~ ( ~ ( coll @ SV48 @ SV21 @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) )
| ~ ( coll @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) @ SV75 @ SV98 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[336]) ).
thf(361,plain,
! [SV119: $i,SV111: $i,SV99: $i,SV76: $i,SV49: $i,SV22: $i] :
( ( ~ ~ ( ~ ( para @ SV22 @ SV49 @ SV76 @ SV99 )
| ~ ( perp @ SV76 @ SV99 @ SV111 @ SV119 ) )
| ( perp @ SV22 @ SV49 @ SV111 @ SV119 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(362,plain,
! [SV100: $i,SV23: $i,SV50: $i,SV77: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
| ~ ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 ) )
| ~ ( ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV23 @ SV50 )
| ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV77 @ SV100 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[338]) ).
thf(363,plain,
! [SV51: $i,SV24: $i,SV101: $i,SV78: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
| ~ ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 ) )
| ~ ( ~ ( coll @ SV51 @ SV24 @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) )
| ~ ( coll @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) @ SV78 @ SV101 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[339]) ).
thf(364,plain,
! [SV112: $i,SV79: $i,SV52: $i,SV25: $i,SV102: $i] :
( ( ( ~ ~ ( ~ ( circle @ SV102 @ SV25 @ SV52 @ SV79 )
| ~ ( perp @ SV102 @ SV25 @ SV25 @ SV112 ) ) )
= $true )
| ( ( eqangle @ SV25 @ SV112 @ SV25 @ SV52 @ SV79 @ SV25 @ SV79 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[340]) ).
thf(365,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ! [SY473: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) )
| ~ ( midp @ SV113 @ SV53 @ SV103 ) )
| ( midp @ SY473 @ SV26 @ SV80 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(366,plain,
! [SV114: $i,SV104: $i,SV82: $i,SV55: $i,SV28: $i,SV1: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV1 @ SV28 @ SV55 @ SV82 )
| ~ ( perp @ SV55 @ SV82 @ SV104 @ SV114 ) ) )
= $true )
| ( ( para @ SV1 @ SV28 @ SV104 @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[343]) ).
thf(367,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ~ ! [SY474: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
| ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ SY474 @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ SY474 @ SV56 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(368,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ! [SY475: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
| ~ ( coll @ SV105 @ SV31 @ SV85 ) )
| ~ ( coll @ SV115 @ SV4 @ SV31 ) )
| ~ ( ~ ( coll @ SV105 @ SV115 @ SY475 )
| ~ ( coll @ SY475 @ SV58 @ SV85 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[346]) ).
thf(369,plain,
! [SV120: $i,SV116: $i,SV106: $i,SV86: $i,SV59: $i,SV32: $i,SV5: $i] :
( ( ! [SY482: $i] :
( ~ ~ ( ~ ( eqangle @ SV5 @ SV32 @ SV59 @ SV86 @ SV106 @ SV116 @ SV120 @ SY482 )
| ~ ( perp @ SV106 @ SV116 @ SV120 @ SY482 ) )
| ( perp @ SV5 @ SV32 @ SV59 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(370,plain,
! [SV60: $i,SV33: $i,SV6: $i,SV87: $i] :
( ( ( ~ ( cong @ SV87 @ SV6 @ SV87 @ SV33 )
| ~ ( cong @ SV87 @ SV6 @ SV87 @ SV60 ) )
= $true )
| ( ( circle @ SV87 @ SV6 @ SV33 @ SV60 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[348]) ).
thf(371,plain,
! [SV61: $i,SV34: $i,SV7: $i,SV88: $i] :
( ( ( ~ ( circle @ SV88 @ SV7 @ SV34 @ SV61 )
| ~ ( coll @ SV88 @ SV7 @ SV61 ) )
= $true )
| ( ( perp @ SV7 @ SV34 @ SV34 @ SV61 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[349]) ).
thf(372,plain,
! [SV89: $i,SV35: $i,SV62: $i,SV8: $i] :
( ( ( ~ ( cong @ SV8 @ SV62 @ SV35 @ SV62 )
| ~ ( cong @ SV8 @ SV89 @ SV35 @ SV89 ) )
= $true )
| ( ( perp @ SV8 @ SV35 @ SV62 @ SV89 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[350]) ).
thf(373,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ! [SY478: $i] :
~ ~ ! [SY479: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
| ~ ( ( SV107 != SV117 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY478 @ SV9 @ SV63 )
| ~ ( cong @ SY478 @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ SY479 @ SV36 @ SV90 ) )
| ~ ( cong @ SY479 @ SV117 @ SV117 @ SV9 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[351]) ).
thf(374,plain,
! [SV91: $i,SV64: $i,SV37: $i,SV10: $i] :
( ( ( ~ ( coll @ SV10 @ SV37 @ SV64 )
| ~ ( coll @ SV10 @ SV37 @ SV91 ) )
= $true )
| ( ( coll @ SV64 @ SV91 @ SV10 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[352]) ).
thf(375,plain,
! [SV108: $i,SV92: $i,SV39: $i,SV66: $i,SV12: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
| ~ ( coll @ SV39 @ SV92 @ SV108 ) )
| ~ ( ~ ( coll @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV92 @ SV108 )
| ~ ( perp @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV12 @ SV92 @ SV108 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[353]) ).
thf(376,plain,
! [SV67: $i,SV40: $i,SV13: $i,SV93: $i] :
( ( ~ ( circle @ SV93 @ SV13 @ SV40 @ SV67 )
| ( perp @ ( sK12_SY444 @ SV67 @ SV40 @ SV13 @ SV93 ) @ SV13 @ SV13 @ SV93 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[354]) ).
thf(377,plain,
! [SV94: $i,SV41: $i,SV68: $i,SV14: $i] :
( ( ~ ~ ( ~ ( perp @ SV14 @ SV68 @ SV68 @ SV41 )
| ~ ( cyclic @ SV14 @ SV41 @ SV68 @ SV94 ) )
| ( circle @ ( sK13_SY445 @ SV94 @ SV41 @ SV68 @ SV14 ) @ SV14 @ SV41 @ SV68 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(378,plain,
! [SV109: $i,SV69: $i,SV42: $i,SV15: $i,SV95: $i] :
( ( ( ~ ( ~ ( circle @ SV95 @ SV15 @ SV42 @ SV69 )
| ~ ( eqangle @ SV15 @ SV109 @ SV15 @ SV42 @ SV69 @ SV15 @ SV69 @ SV42 ) ) )
= $false )
| ( ( perp @ SV95 @ SV15 @ SV15 @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(379,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ~ ! [SY483: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
| ~ ( coll @ SV96 @ SV16 @ SV43 ) )
| ( midp @ SY483 @ SV16 @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(380,plain,
! [SV45: $i,SV18: $i,SV72: $i] :
( ( ( ~ ~ ( ~ ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
| ~ ( perp @ SV18 @ SV72 @ SV72 @ SV45 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) )
| ~ ( cong @ SV72 @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[359]) ).
thf(381,plain,
! [SV48: $i,SV21: $i,SV98: $i,SV75: $i] :
( ( ~ ~ ( ~ ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
| ~ ( cong @ SV75 @ SV21 @ SV75 @ SV48 ) )
| ~ ( ~ ( coll @ SV48 @ SV21 @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) )
| ~ ( coll @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) @ SV75 @ SV98 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(382,plain,
! [SV119: $i,SV111: $i,SV99: $i,SV76: $i,SV49: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ( para @ SV22 @ SV49 @ SV76 @ SV99 )
| ~ ( perp @ SV76 @ SV99 @ SV111 @ SV119 ) ) )
= $true )
| ( ( perp @ SV22 @ SV49 @ SV111 @ SV119 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(383,plain,
! [SV100: $i,SV23: $i,SV50: $i,SV77: $i] :
( ( ~ ~ ( ~ ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
| ~ ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 ) )
| ~ ( ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV23 @ SV50 )
| ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV77 @ SV100 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(384,plain,
! [SV51: $i,SV24: $i,SV101: $i,SV78: $i] :
( ( ~ ~ ( ~ ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
| ~ ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 ) )
| ~ ( ~ ( coll @ SV51 @ SV24 @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) )
| ~ ( coll @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) @ SV78 @ SV101 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(385,plain,
! [SV112: $i,SV79: $i,SV52: $i,SV25: $i,SV102: $i] :
( ( ( ~ ( ~ ( circle @ SV102 @ SV25 @ SV52 @ SV79 )
| ~ ( perp @ SV102 @ SV25 @ SV25 @ SV112 ) ) )
= $false )
| ( ( eqangle @ SV25 @ SV112 @ SV25 @ SV52 @ SV79 @ SV25 @ SV79 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(386,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) )
| ~ ( midp @ SV113 @ SV53 @ SV103 ) )
| ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[365]) ).
thf(387,plain,
! [SV114: $i,SV104: $i,SV82: $i,SV55: $i,SV28: $i,SV1: $i] :
( ( ( ~ ( ~ ( perp @ SV1 @ SV28 @ SV55 @ SV82 )
| ~ ( perp @ SV55 @ SV82 @ SV104 @ SV114 ) ) )
= $false )
| ( ( para @ SV1 @ SV28 @ SV104 @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(388,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ! [SY474: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
| ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ SY474 @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ SY474 @ SV56 @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(389,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
| ~ ( coll @ SV105 @ SV31 @ SV85 ) )
| ~ ( coll @ SV115 @ SV4 @ SV31 ) )
| ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[368]) ).
thf(390,plain,
! [SV122: $i,SV120: $i,SV116: $i,SV106: $i,SV86: $i,SV59: $i,SV32: $i,SV5: $i] :
( ( ~ ~ ( ~ ( eqangle @ SV5 @ SV32 @ SV59 @ SV86 @ SV106 @ SV116 @ SV120 @ SV122 )
| ~ ( perp @ SV106 @ SV116 @ SV120 @ SV122 ) )
| ( perp @ SV5 @ SV32 @ SV59 @ SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(391,plain,
! [SV60: $i,SV33: $i,SV6: $i,SV87: $i] :
( ( ( ~ ( cong @ SV87 @ SV6 @ SV87 @ SV33 ) )
= $true )
| ( ( ~ ( cong @ SV87 @ SV6 @ SV87 @ SV60 ) )
= $true )
| ( ( circle @ SV87 @ SV6 @ SV33 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[370]) ).
thf(392,plain,
! [SV61: $i,SV34: $i,SV7: $i,SV88: $i] :
( ( ( ~ ( circle @ SV88 @ SV7 @ SV34 @ SV61 ) )
= $true )
| ( ( ~ ( coll @ SV88 @ SV7 @ SV61 ) )
= $true )
| ( ( perp @ SV7 @ SV34 @ SV34 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(393,plain,
! [SV89: $i,SV35: $i,SV62: $i,SV8: $i] :
( ( ( ~ ( cong @ SV8 @ SV62 @ SV35 @ SV62 ) )
= $true )
| ( ( ~ ( cong @ SV8 @ SV89 @ SV35 @ SV89 ) )
= $true )
| ( ( perp @ SV8 @ SV35 @ SV62 @ SV89 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[372]) ).
thf(394,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ~ ~ ! [SY484: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
| ~ ( ( SV107 != SV117 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ SY484 @ SV36 @ SV90 ) )
| ~ ( cong @ SY484 @ SV117 @ SV117 @ SV9 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[373]) ).
thf(395,plain,
! [SV91: $i,SV64: $i,SV37: $i,SV10: $i] :
( ( ( ~ ( coll @ SV10 @ SV37 @ SV64 ) )
= $true )
| ( ( ~ ( coll @ SV10 @ SV37 @ SV91 ) )
= $true )
| ( ( coll @ SV64 @ SV91 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(396,plain,
! [SV108: $i,SV92: $i,SV39: $i,SV66: $i,SV12: $i] :
( ( ~ ~ ( ~ ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
| ~ ( coll @ SV39 @ SV92 @ SV108 ) )
| ~ ( ~ ( coll @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV92 @ SV108 )
| ~ ( perp @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV12 @ SV92 @ SV108 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[375]) ).
thf(397,plain,
! [SV67: $i,SV40: $i,SV13: $i,SV93: $i] :
( ( ( ~ ( circle @ SV93 @ SV13 @ SV40 @ SV67 ) )
= $true )
| ( ( perp @ ( sK12_SY444 @ SV67 @ SV40 @ SV13 @ SV93 ) @ SV13 @ SV13 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(398,plain,
! [SV94: $i,SV41: $i,SV68: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV14 @ SV68 @ SV68 @ SV41 )
| ~ ( cyclic @ SV14 @ SV41 @ SV68 @ SV94 ) ) )
= $true )
| ( ( circle @ ( sK13_SY445 @ SV94 @ SV41 @ SV68 @ SV14 ) @ SV14 @ SV41 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[377]) ).
thf(399,plain,
! [SV109: $i,SV69: $i,SV42: $i,SV15: $i,SV95: $i] :
( ( ( ~ ( circle @ SV95 @ SV15 @ SV42 @ SV69 )
| ~ ( eqangle @ SV15 @ SV109 @ SV15 @ SV42 @ SV69 @ SV15 @ SV69 @ SV42 ) )
= $true )
| ( ( perp @ SV95 @ SV15 @ SV15 @ SV109 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[378]) ).
thf(400,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ! [SY483: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
| ~ ( coll @ SV96 @ SV16 @ SV43 ) )
| ( midp @ SY483 @ SV16 @ SV121 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[379]) ).
thf(401,plain,
! [SV45: $i,SV18: $i,SV72: $i] :
( ( ( ~ ( ~ ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
| ~ ( perp @ SV18 @ SV72 @ SV72 @ SV45 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) )
| ~ ( cong @ SV72 @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[380]) ).
thf(402,plain,
! [SV48: $i,SV21: $i,SV98: $i,SV75: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
| ~ ( cong @ SV75 @ SV21 @ SV75 @ SV48 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV48 @ SV21 @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) )
| ~ ( coll @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) @ SV75 @ SV98 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[381]) ).
thf(403,plain,
! [SV119: $i,SV111: $i,SV99: $i,SV76: $i,SV49: $i,SV22: $i] :
( ( ( ~ ( ~ ( para @ SV22 @ SV49 @ SV76 @ SV99 )
| ~ ( perp @ SV76 @ SV99 @ SV111 @ SV119 ) ) )
= $false )
| ( ( perp @ SV22 @ SV49 @ SV111 @ SV119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(404,plain,
! [SV100: $i,SV23: $i,SV50: $i,SV77: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
| ~ ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV23 @ SV50 )
| ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV77 @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(405,plain,
! [SV51: $i,SV24: $i,SV101: $i,SV78: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
| ~ ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV51 @ SV24 @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) )
| ~ ( coll @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) @ SV78 @ SV101 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[384]) ).
thf(406,plain,
! [SV112: $i,SV79: $i,SV52: $i,SV25: $i,SV102: $i] :
( ( ( ~ ( circle @ SV102 @ SV25 @ SV52 @ SV79 )
| ~ ( perp @ SV102 @ SV25 @ SV25 @ SV112 ) )
= $true )
| ( ( eqangle @ SV25 @ SV112 @ SV25 @ SV52 @ SV79 @ SV25 @ SV79 @ SV52 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[385]) ).
thf(407,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) )
| ~ ( midp @ SV113 @ SV53 @ SV103 ) )
| ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(408,plain,
! [SV114: $i,SV104: $i,SV82: $i,SV55: $i,SV28: $i,SV1: $i] :
( ( ( ~ ( perp @ SV1 @ SV28 @ SV55 @ SV82 )
| ~ ( perp @ SV55 @ SV82 @ SV104 @ SV114 ) )
= $true )
| ( ( para @ SV1 @ SV28 @ SV104 @ SV114 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(409,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
| ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[388]) ).
thf(410,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
| ~ ( coll @ SV105 @ SV31 @ SV85 ) )
| ~ ( coll @ SV115 @ SV4 @ SV31 ) )
| ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(411,plain,
! [SV122: $i,SV120: $i,SV116: $i,SV106: $i,SV86: $i,SV59: $i,SV32: $i,SV5: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV5 @ SV32 @ SV59 @ SV86 @ SV106 @ SV116 @ SV120 @ SV122 )
| ~ ( perp @ SV106 @ SV116 @ SV120 @ SV122 ) ) )
= $true )
| ( ( perp @ SV5 @ SV32 @ SV59 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(412,plain,
! [SV60: $i,SV33: $i,SV6: $i,SV87: $i] :
( ( ( cong @ SV87 @ SV6 @ SV87 @ SV33 )
= $false )
| ( ( ~ ( cong @ SV87 @ SV6 @ SV87 @ SV60 ) )
= $true )
| ( ( circle @ SV87 @ SV6 @ SV33 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(413,plain,
! [SV61: $i,SV34: $i,SV7: $i,SV88: $i] :
( ( ( circle @ SV88 @ SV7 @ SV34 @ SV61 )
= $false )
| ( ( ~ ( coll @ SV88 @ SV7 @ SV61 ) )
= $true )
| ( ( perp @ SV7 @ SV34 @ SV34 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(414,plain,
! [SV89: $i,SV35: $i,SV62: $i,SV8: $i] :
( ( ( cong @ SV8 @ SV62 @ SV35 @ SV62 )
= $false )
| ( ( ~ ( cong @ SV8 @ SV89 @ SV35 @ SV89 ) )
= $true )
| ( ( perp @ SV8 @ SV35 @ SV62 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(415,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ~ ! [SY484: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
| ~ ( ( SV107 != SV117 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ SY484 @ SV36 @ SV90 ) )
| ~ ( cong @ SY484 @ SV117 @ SV117 @ SV9 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(416,plain,
! [SV91: $i,SV64: $i,SV37: $i,SV10: $i] :
( ( ( coll @ SV10 @ SV37 @ SV64 )
= $false )
| ( ( ~ ( coll @ SV10 @ SV37 @ SV91 ) )
= $true )
| ( ( coll @ SV64 @ SV91 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(417,plain,
! [SV108: $i,SV92: $i,SV39: $i,SV66: $i,SV12: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
| ~ ( coll @ SV39 @ SV92 @ SV108 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV92 @ SV108 )
| ~ ( perp @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV12 @ SV92 @ SV108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(418,plain,
! [SV67: $i,SV40: $i,SV13: $i,SV93: $i] :
( ( ( circle @ SV93 @ SV13 @ SV40 @ SV67 )
= $false )
| ( ( perp @ ( sK12_SY444 @ SV67 @ SV40 @ SV13 @ SV93 ) @ SV13 @ SV13 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(419,plain,
! [SV94: $i,SV41: $i,SV68: $i,SV14: $i] :
( ( ( ~ ( ~ ( perp @ SV14 @ SV68 @ SV68 @ SV41 )
| ~ ( cyclic @ SV14 @ SV41 @ SV68 @ SV94 ) ) )
= $false )
| ( ( circle @ ( sK13_SY445 @ SV94 @ SV41 @ SV68 @ SV14 ) @ SV14 @ SV41 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(420,plain,
! [SV109: $i,SV69: $i,SV42: $i,SV15: $i,SV95: $i] :
( ( ( ~ ( circle @ SV95 @ SV15 @ SV42 @ SV69 ) )
= $true )
| ( ( ~ ( eqangle @ SV15 @ SV109 @ SV15 @ SV42 @ SV69 @ SV15 @ SV69 @ SV42 ) )
= $true )
| ( ( perp @ SV95 @ SV15 @ SV15 @ SV109 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[399]) ).
thf(421,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
| ~ ( coll @ SV96 @ SV16 @ SV43 ) )
| ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[400]) ).
thf(422,plain,
! [SV45: $i,SV18: $i,SV72: $i] :
( ( ( ~ ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
| ~ ( perp @ SV18 @ SV72 @ SV72 @ SV45 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) )
| ~ ( cong @ SV72 @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[401]) ).
thf(423,plain,
! [SV48: $i,SV21: $i,SV98: $i,SV75: $i] :
( ( ( ~ ( ~ ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
| ~ ( cong @ SV75 @ SV21 @ SV75 @ SV48 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV48 @ SV21 @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) )
| ~ ( coll @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) @ SV75 @ SV98 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[402]) ).
thf(424,plain,
! [SV119: $i,SV111: $i,SV99: $i,SV76: $i,SV49: $i,SV22: $i] :
( ( ( ~ ( para @ SV22 @ SV49 @ SV76 @ SV99 )
| ~ ( perp @ SV76 @ SV99 @ SV111 @ SV119 ) )
= $true )
| ( ( perp @ SV22 @ SV49 @ SV111 @ SV119 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[403]) ).
thf(425,plain,
! [SV100: $i,SV23: $i,SV50: $i,SV77: $i] :
( ( ( ~ ( ~ ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
| ~ ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV23 @ SV50 )
| ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV77 @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[404]) ).
thf(426,plain,
! [SV51: $i,SV24: $i,SV101: $i,SV78: $i] :
( ( ( ~ ( ~ ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
| ~ ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV51 @ SV24 @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) )
| ~ ( coll @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) @ SV78 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(427,plain,
! [SV112: $i,SV79: $i,SV52: $i,SV25: $i,SV102: $i] :
( ( ( ~ ( circle @ SV102 @ SV25 @ SV52 @ SV79 ) )
= $true )
| ( ( ~ ( perp @ SV102 @ SV25 @ SV25 @ SV112 ) )
= $true )
| ( ( eqangle @ SV25 @ SV112 @ SV25 @ SV52 @ SV79 @ SV25 @ SV79 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(428,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) )
| ~ ( midp @ SV113 @ SV53 @ SV103 ) ) )
= $true )
| ( ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(429,plain,
! [SV114: $i,SV104: $i,SV82: $i,SV55: $i,SV28: $i,SV1: $i] :
( ( ( ~ ( perp @ SV1 @ SV28 @ SV55 @ SV82 ) )
= $true )
| ( ( ~ ( perp @ SV55 @ SV82 @ SV104 @ SV114 ) )
= $true )
| ( ( para @ SV1 @ SV28 @ SV104 @ SV114 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(430,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ~ ~ ( ~ ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
| ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[409]) ).
thf(431,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
| ~ ( coll @ SV105 @ SV31 @ SV85 ) )
| ~ ( coll @ SV115 @ SV4 @ SV31 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(432,plain,
! [SV122: $i,SV120: $i,SV116: $i,SV106: $i,SV86: $i,SV59: $i,SV32: $i,SV5: $i] :
( ( ( ~ ( ~ ( eqangle @ SV5 @ SV32 @ SV59 @ SV86 @ SV106 @ SV116 @ SV120 @ SV122 )
| ~ ( perp @ SV106 @ SV116 @ SV120 @ SV122 ) ) )
= $false )
| ( ( perp @ SV5 @ SV32 @ SV59 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(433,plain,
! [SV33: $i,SV60: $i,SV6: $i,SV87: $i] :
( ( ( cong @ SV87 @ SV6 @ SV87 @ SV60 )
= $false )
| ( ( cong @ SV87 @ SV6 @ SV87 @ SV33 )
= $false )
| ( ( circle @ SV87 @ SV6 @ SV33 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(434,plain,
! [SV34: $i,SV61: $i,SV7: $i,SV88: $i] :
( ( ( coll @ SV88 @ SV7 @ SV61 )
= $false )
| ( ( circle @ SV88 @ SV7 @ SV34 @ SV61 )
= $false )
| ( ( perp @ SV7 @ SV34 @ SV34 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(435,plain,
! [SV62: $i,SV35: $i,SV89: $i,SV8: $i] :
( ( ( cong @ SV8 @ SV89 @ SV35 @ SV89 )
= $false )
| ( ( cong @ SV8 @ SV62 @ SV35 @ SV62 )
= $false )
| ( ( perp @ SV8 @ SV35 @ SV62 @ SV89 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[414]) ).
thf(436,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ! [SY484: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
| ~ ( ( SV107 != SV117 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ SY484 @ SV36 @ SV90 ) )
| ~ ( cong @ SY484 @ SV117 @ SV117 @ SV9 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[415]) ).
thf(437,plain,
! [SV64: $i,SV91: $i,SV37: $i,SV10: $i] :
( ( ( coll @ SV10 @ SV37 @ SV91 )
= $false )
| ( ( coll @ SV10 @ SV37 @ SV64 )
= $false )
| ( ( coll @ SV64 @ SV91 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(438,plain,
! [SV108: $i,SV92: $i,SV39: $i,SV66: $i,SV12: $i] :
( ( ( ~ ( ~ ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
| ~ ( coll @ SV39 @ SV92 @ SV108 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV92 @ SV108 )
| ~ ( perp @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV12 @ SV92 @ SV108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(439,plain,
! [SV94: $i,SV41: $i,SV68: $i,SV14: $i] :
( ( ( ~ ( perp @ SV14 @ SV68 @ SV68 @ SV41 )
| ~ ( cyclic @ SV14 @ SV41 @ SV68 @ SV94 ) )
= $true )
| ( ( circle @ ( sK13_SY445 @ SV94 @ SV41 @ SV68 @ SV14 ) @ SV14 @ SV41 @ SV68 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[419]) ).
thf(440,plain,
! [SV109: $i,SV69: $i,SV42: $i,SV15: $i,SV95: $i] :
( ( ( circle @ SV95 @ SV15 @ SV42 @ SV69 )
= $false )
| ( ( ~ ( eqangle @ SV15 @ SV109 @ SV15 @ SV42 @ SV69 @ SV15 @ SV69 @ SV42 ) )
= $true )
| ( ( perp @ SV95 @ SV15 @ SV15 @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(441,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
| ~ ( coll @ SV96 @ SV16 @ SV43 ) )
| ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[421]) ).
thf(442,plain,
! [SV45: $i,SV18: $i,SV72: $i] :
( ( ( ~ ( cong @ SV72 @ SV18 @ SV72 @ SV45 ) )
= $true )
| ( ( ~ ( perp @ SV18 @ SV72 @ SV72 @ SV45 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) )
| ~ ( cong @ SV72 @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[422]) ).
thf(443,plain,
! [SV48: $i,SV21: $i,SV98: $i,SV75: $i] :
( ( ( ~ ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
| ~ ( cong @ SV75 @ SV21 @ SV75 @ SV48 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV48 @ SV21 @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) )
| ~ ( coll @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) @ SV75 @ SV98 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[423]) ).
thf(444,plain,
! [SV119: $i,SV111: $i,SV99: $i,SV76: $i,SV49: $i,SV22: $i] :
( ( ( ~ ( para @ SV22 @ SV49 @ SV76 @ SV99 ) )
= $true )
| ( ( ~ ( perp @ SV76 @ SV99 @ SV111 @ SV119 ) )
= $true )
| ( ( perp @ SV22 @ SV49 @ SV111 @ SV119 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[424]) ).
thf(445,plain,
! [SV100: $i,SV23: $i,SV50: $i,SV77: $i] :
( ( ( ~ ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
| ~ ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV23 @ SV50 )
| ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV77 @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[425]) ).
thf(446,plain,
! [SV51: $i,SV24: $i,SV101: $i,SV78: $i] :
( ( ( ~ ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
| ~ ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV51 @ SV24 @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) )
| ~ ( coll @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) @ SV78 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[426]) ).
thf(447,plain,
! [SV112: $i,SV79: $i,SV52: $i,SV25: $i,SV102: $i] :
( ( ( circle @ SV102 @ SV25 @ SV52 @ SV79 )
= $false )
| ( ( ~ ( perp @ SV102 @ SV25 @ SV25 @ SV112 ) )
= $true )
| ( ( eqangle @ SV25 @ SV112 @ SV25 @ SV52 @ SV79 @ SV25 @ SV79 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[427]) ).
thf(448,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ( ~ ( ~ ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) )
| ~ ( midp @ SV113 @ SV53 @ SV103 ) ) )
= $false )
| ( ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[428]) ).
thf(449,plain,
! [SV114: $i,SV104: $i,SV82: $i,SV55: $i,SV28: $i,SV1: $i] :
( ( ( perp @ SV1 @ SV28 @ SV55 @ SV82 )
= $false )
| ( ( ~ ( perp @ SV55 @ SV82 @ SV104 @ SV114 ) )
= $true )
| ( ( para @ SV1 @ SV28 @ SV104 @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[429]) ).
thf(450,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
| ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(451,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
| ~ ( coll @ SV105 @ SV31 @ SV85 ) )
| ~ ( coll @ SV115 @ SV4 @ SV31 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(452,plain,
! [SV122: $i,SV120: $i,SV116: $i,SV106: $i,SV86: $i,SV59: $i,SV32: $i,SV5: $i] :
( ( ( ~ ( eqangle @ SV5 @ SV32 @ SV59 @ SV86 @ SV106 @ SV116 @ SV120 @ SV122 )
| ~ ( perp @ SV106 @ SV116 @ SV120 @ SV122 ) )
= $true )
| ( ( perp @ SV5 @ SV32 @ SV59 @ SV86 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[432]) ).
thf(453,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
| ~ ( ( SV107 != SV117 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[436]) ).
thf(454,plain,
! [SV108: $i,SV92: $i,SV39: $i,SV66: $i,SV12: $i] :
( ( ( ~ ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
| ~ ( coll @ SV39 @ SV92 @ SV108 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV92 @ SV108 )
| ~ ( perp @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV12 @ SV92 @ SV108 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(455,plain,
! [SV94: $i,SV41: $i,SV68: $i,SV14: $i] :
( ( ( ~ ( perp @ SV14 @ SV68 @ SV68 @ SV41 ) )
= $true )
| ( ( ~ ( cyclic @ SV14 @ SV41 @ SV68 @ SV94 ) )
= $true )
| ( ( circle @ ( sK13_SY445 @ SV94 @ SV41 @ SV68 @ SV14 ) @ SV14 @ SV41 @ SV68 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(456,plain,
! [SV95: $i,SV69: $i,SV42: $i,SV109: $i,SV15: $i] :
( ( ( eqangle @ SV15 @ SV109 @ SV15 @ SV42 @ SV69 @ SV15 @ SV69 @ SV42 )
= $false )
| ( ( circle @ SV95 @ SV15 @ SV42 @ SV69 )
= $false )
| ( ( perp @ SV95 @ SV15 @ SV15 @ SV109 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(457,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
| ~ ( coll @ SV96 @ SV16 @ SV43 ) ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(458,plain,
! [SV45: $i,SV18: $i,SV72: $i] :
( ( ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
= $false )
| ( ( ~ ( perp @ SV18 @ SV72 @ SV72 @ SV45 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) )
| ~ ( cong @ SV72 @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[442]) ).
thf(459,plain,
! [SV48: $i,SV21: $i,SV98: $i,SV75: $i] :
( ( ( ~ ( perp @ SV75 @ SV98 @ SV21 @ SV48 ) )
= $true )
| ( ( ~ ( cong @ SV75 @ SV21 @ SV75 @ SV48 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV48 @ SV21 @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) )
| ~ ( coll @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) @ SV75 @ SV98 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[443]) ).
thf(460,plain,
! [SV119: $i,SV111: $i,SV99: $i,SV76: $i,SV49: $i,SV22: $i] :
( ( ( para @ SV22 @ SV49 @ SV76 @ SV99 )
= $false )
| ( ( ~ ( perp @ SV76 @ SV99 @ SV111 @ SV119 ) )
= $true )
| ( ( perp @ SV22 @ SV49 @ SV111 @ SV119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[444]) ).
thf(461,plain,
! [SV100: $i,SV23: $i,SV50: $i,SV77: $i] :
( ( ( ~ ( perp @ SV77 @ SV50 @ SV50 @ SV23 ) )
= $true )
| ( ( ~ ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV23 @ SV50 )
| ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV77 @ SV100 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[445]) ).
thf(462,plain,
! [SV51: $i,SV24: $i,SV101: $i,SV78: $i] :
( ( ( ~ ( perp @ SV78 @ SV101 @ SV24 @ SV51 ) )
= $true )
| ( ( ~ ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV51 @ SV24 @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) )
| ~ ( coll @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) @ SV78 @ SV101 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(463,plain,
! [SV79: $i,SV52: $i,SV112: $i,SV25: $i,SV102: $i] :
( ( ( perp @ SV102 @ SV25 @ SV25 @ SV112 )
= $false )
| ( ( circle @ SV102 @ SV25 @ SV52 @ SV79 )
= $false )
| ( ( eqangle @ SV25 @ SV112 @ SV25 @ SV52 @ SV79 @ SV25 @ SV79 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(464,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) )
| ~ ( midp @ SV113 @ SV53 @ SV103 ) )
= $true )
| ( ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(465,plain,
! [SV28: $i,SV1: $i,SV114: $i,SV104: $i,SV82: $i,SV55: $i] :
( ( ( perp @ SV55 @ SV82 @ SV104 @ SV114 )
= $false )
| ( ( perp @ SV1 @ SV28 @ SV55 @ SV82 )
= $false )
| ( ( para @ SV1 @ SV28 @ SV104 @ SV114 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(466,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ( ~ ( ~ ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
| ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(467,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
| ~ ( coll @ SV105 @ SV31 @ SV85 ) )
| ~ ( coll @ SV115 @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(468,plain,
! [SV122: $i,SV120: $i,SV116: $i,SV106: $i,SV86: $i,SV59: $i,SV32: $i,SV5: $i] :
( ( ( ~ ( eqangle @ SV5 @ SV32 @ SV59 @ SV86 @ SV106 @ SV116 @ SV120 @ SV122 ) )
= $true )
| ( ( ~ ( perp @ SV106 @ SV116 @ SV120 @ SV122 ) )
= $true )
| ( ( perp @ SV5 @ SV32 @ SV59 @ SV86 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[452]) ).
thf(469,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
| ~ ( ( SV107 != SV117 ) ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[453]) ).
thf(470,plain,
! [SV108: $i,SV92: $i,SV39: $i,SV66: $i,SV12: $i] :
( ( ( ~ ( perp @ SV12 @ SV66 @ SV66 @ SV39 ) )
= $true )
| ( ( ~ ( coll @ SV39 @ SV92 @ SV108 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV92 @ SV108 )
| ~ ( perp @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV12 @ SV92 @ SV108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[454]) ).
thf(471,plain,
! [SV94: $i,SV41: $i,SV68: $i,SV14: $i] :
( ( ( perp @ SV14 @ SV68 @ SV68 @ SV41 )
= $false )
| ( ( ~ ( cyclic @ SV14 @ SV41 @ SV68 @ SV94 ) )
= $true )
| ( ( circle @ ( sK13_SY445 @ SV94 @ SV41 @ SV68 @ SV14 ) @ SV14 @ SV41 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(472,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
| ~ ( coll @ SV96 @ SV16 @ SV43 ) ) )
= $false )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[457]) ).
thf(473,plain,
! [SV45: $i,SV72: $i,SV18: $i] :
( ( ( perp @ SV18 @ SV72 @ SV72 @ SV45 )
= $false )
| ( ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
= $false )
| ( ( ~ ( ~ ( coll @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) )
| ~ ( cong @ SV72 @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(474,plain,
! [SV48: $i,SV21: $i,SV98: $i,SV75: $i] :
( ( ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
= $false )
| ( ( ~ ( cong @ SV75 @ SV21 @ SV75 @ SV48 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV48 @ SV21 @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) )
| ~ ( coll @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) @ SV75 @ SV98 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(475,plain,
! [SV49: $i,SV22: $i,SV119: $i,SV111: $i,SV99: $i,SV76: $i] :
( ( ( perp @ SV76 @ SV99 @ SV111 @ SV119 )
= $false )
| ( ( para @ SV22 @ SV49 @ SV76 @ SV99 )
= $false )
| ( ( perp @ SV22 @ SV49 @ SV111 @ SV119 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[460]) ).
thf(476,plain,
! [SV100: $i,SV23: $i,SV50: $i,SV77: $i] :
( ( ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
= $false )
| ( ( ~ ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV23 @ SV50 )
| ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV77 @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[461]) ).
thf(477,plain,
! [SV51: $i,SV24: $i,SV101: $i,SV78: $i] :
( ( ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
= $false )
| ( ( ~ ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV51 @ SV24 @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) )
| ~ ( coll @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) @ SV78 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(478,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) ) )
= $true )
| ( ( ~ ( midp @ SV113 @ SV53 @ SV103 ) )
= $true )
| ( ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[464]) ).
thf(479,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ( ~ ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
| ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(480,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
| ~ ( coll @ SV105 @ SV31 @ SV85 ) ) )
= $true )
| ( ( ~ ( coll @ SV115 @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(481,plain,
! [SV122: $i,SV120: $i,SV116: $i,SV106: $i,SV86: $i,SV59: $i,SV32: $i,SV5: $i] :
( ( ( eqangle @ SV5 @ SV32 @ SV59 @ SV86 @ SV106 @ SV116 @ SV120 @ SV122 )
= $false )
| ( ( ~ ( perp @ SV106 @ SV116 @ SV120 @ SV122 ) )
= $true )
| ( ( perp @ SV5 @ SV32 @ SV59 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[468]) ).
thf(482,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
| ~ ( ( SV107 != SV117 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[469]) ).
thf(483,plain,
! [SV108: $i,SV92: $i,SV39: $i,SV66: $i,SV12: $i] :
( ( ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
= $false )
| ( ( ~ ( coll @ SV39 @ SV92 @ SV108 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV92 @ SV108 )
| ~ ( perp @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV12 @ SV92 @ SV108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[470]) ).
thf(484,plain,
! [SV94: $i,SV68: $i,SV41: $i,SV14: $i] :
( ( ( cyclic @ SV14 @ SV41 @ SV68 @ SV94 )
= $false )
| ( ( perp @ SV14 @ SV68 @ SV68 @ SV41 )
= $false )
| ( ( circle @ ( sK13_SY445 @ SV94 @ SV41 @ SV68 @ SV14 ) @ SV14 @ SV41 @ SV68 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(485,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
| ~ ( coll @ SV96 @ SV16 @ SV43 ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[472]) ).
thf(486,plain,
! [SV45: $i,SV72: $i,SV18: $i] :
( ( ( ~ ( coll @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) )
| ~ ( cong @ SV72 @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) ) )
= $false )
| ( ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
= $false )
| ( ( perp @ SV18 @ SV72 @ SV72 @ SV45 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(487,plain,
! [SV98: $i,SV48: $i,SV21: $i,SV75: $i] :
( ( ( cong @ SV75 @ SV21 @ SV75 @ SV48 )
= $false )
| ( ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
= $false )
| ( ( ~ ( ~ ( coll @ SV48 @ SV21 @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) )
| ~ ( coll @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) @ SV75 @ SV98 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(488,plain,
! [SV23: $i,SV50: $i,SV77: $i,SV100: $i] :
( ( ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 )
= $false )
| ( ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV23 @ SV50 )
| ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV77 @ SV100 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[476]) ).
thf(489,plain,
! [SV51: $i,SV101: $i,SV78: $i,SV24: $i] :
( ( ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 )
= $false )
| ( ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
= $false )
| ( ( ~ ( ~ ( coll @ SV51 @ SV24 @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) )
| ~ ( coll @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) @ SV78 @ SV101 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[477]) ).
thf(490,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ( ~ ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) ) )
= $false )
| ( ( ~ ( midp @ SV113 @ SV53 @ SV103 ) )
= $true )
| ( ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(491,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ( ~ ( perp @ SV2 @ SV83 @ SV29 @ SV56 ) )
= $true )
| ( ( ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[479]) ).
thf(492,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ( ~ ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
| ~ ( coll @ SV105 @ SV31 @ SV85 ) ) )
= $false )
| ( ( ~ ( coll @ SV115 @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(493,plain,
! [SV86: $i,SV59: $i,SV32: $i,SV5: $i,SV122: $i,SV120: $i,SV116: $i,SV106: $i] :
( ( ( perp @ SV106 @ SV116 @ SV120 @ SV122 )
= $false )
| ( ( eqangle @ SV5 @ SV32 @ SV59 @ SV86 @ SV106 @ SV116 @ SV120 @ SV122 )
= $false )
| ( ( perp @ SV5 @ SV32 @ SV59 @ SV86 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[481]) ).
thf(494,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
| ~ ( ( SV107 != SV117 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(495,plain,
! [SV66: $i,SV12: $i,SV108: $i,SV92: $i,SV39: $i] :
( ( ( coll @ SV39 @ SV92 @ SV108 )
= $false )
| ( ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV92 @ SV108 )
| ~ ( perp @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV12 @ SV92 @ SV108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(496,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) ) )
= $true )
| ( ( ~ ( coll @ SV96 @ SV16 @ SV43 ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(497,plain,
! [SV45: $i,SV72: $i,SV18: $i] :
( ( ( ~ ( coll @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) ) )
= $false )
| ( ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
= $false )
| ( ( perp @ SV18 @ SV72 @ SV72 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(498,plain,
! [SV45: $i,SV18: $i,SV72: $i] :
( ( ( ~ ( cong @ SV72 @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) ) )
= $false )
| ( ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
= $false )
| ( ( perp @ SV18 @ SV72 @ SV72 @ SV45 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[486]) ).
thf(499,plain,
! [SV75: $i,SV98: $i,SV21: $i,SV48: $i] :
( ( ( ~ ( coll @ SV48 @ SV21 @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) )
| ~ ( coll @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) @ SV75 @ SV98 ) )
= $false )
| ( ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
= $false )
| ( ( cong @ SV75 @ SV21 @ SV75 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(500,plain,
! [SV77: $i,SV50: $i,SV23: $i,SV100: $i] :
( ( ( ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV23 @ SV50 )
| ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV77 @ SV100 ) )
= $false )
| ( ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
= $false )
| ( ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[488]) ).
thf(501,plain,
! [SV78: $i,SV101: $i,SV24: $i,SV51: $i] :
( ( ( ~ ( coll @ SV51 @ SV24 @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) )
| ~ ( coll @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) @ SV78 @ SV101 ) )
= $false )
| ( ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
= $false )
| ( ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[489]) ).
thf(502,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
| ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) )
= $true )
| ( ( ~ ( midp @ SV113 @ SV53 @ SV103 ) )
= $true )
| ( ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(503,plain,
! [SV56: $i,SV29: $i,SV83: $i,SV2: $i] :
( ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( ~ ( perp @ SV29 @ SV83 @ SV2 @ SV56 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[491]) ).
thf(504,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
| ~ ( coll @ SV105 @ SV31 @ SV85 ) )
= $true )
| ( ( ~ ( coll @ SV115 @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(505,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
| ~ ( ( SV107 != SV117 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[494]) ).
thf(506,plain,
! [SV12: $i,SV66: $i,SV39: $i,SV92: $i,SV108: $i] :
( ( ( ~ ( coll @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV92 @ SV108 )
| ~ ( perp @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV12 @ SV92 @ SV108 ) )
= $false )
| ( ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
= $false )
| ( ( coll @ SV39 @ SV92 @ SV108 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(507,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ( ~ ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) ) )
= $false )
| ( ( ~ ( coll @ SV96 @ SV16 @ SV43 ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[496]) ).
thf(508,plain,
! [SV45: $i,SV72: $i,SV18: $i] :
( ( ( coll @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) )
= $true )
| ( ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
= $false )
| ( ( perp @ SV18 @ SV72 @ SV72 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(509,plain,
! [SV45: $i,SV18: $i,SV72: $i] :
( ( ( cong @ SV72 @ SV18 @ SV72 @ ( sK10_SY412 @ SV45 @ SV18 @ SV72 ) )
= $true )
| ( ( cong @ SV72 @ SV18 @ SV72 @ SV45 )
= $false )
| ( ( perp @ SV18 @ SV72 @ SV72 @ SV45 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[498]) ).
thf(510,plain,
! [SV75: $i,SV98: $i,SV21: $i,SV48: $i] :
( ( ( ~ ( coll @ SV48 @ SV21 @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) ) )
= $false )
| ( ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
= $false )
| ( ( cong @ SV75 @ SV21 @ SV75 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(511,plain,
! [SV75: $i,SV98: $i,SV21: $i,SV48: $i] :
( ( ( ~ ( coll @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) @ SV75 @ SV98 ) )
= $false )
| ( ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
= $false )
| ( ( cong @ SV75 @ SV21 @ SV75 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[499]) ).
thf(512,plain,
! [SV77: $i,SV50: $i,SV23: $i,SV100: $i] :
( ( ( ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV23 @ SV50 ) )
= $false )
| ( ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
= $false )
| ( ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(513,plain,
! [SV77: $i,SV50: $i,SV23: $i,SV100: $i] :
( ( ( ~ ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV77 @ SV100 ) )
= $false )
| ( ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
= $false )
| ( ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[500]) ).
thf(514,plain,
! [SV78: $i,SV101: $i,SV24: $i,SV51: $i] :
( ( ( ~ ( coll @ SV51 @ SV24 @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) ) )
= $false )
| ( ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
= $false )
| ( ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(515,plain,
! [SV78: $i,SV101: $i,SV24: $i,SV51: $i] :
( ( ( ~ ( coll @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) @ SV78 @ SV101 ) )
= $false )
| ( ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
= $false )
| ( ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[501]) ).
thf(516,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ( ~ ( perp @ SV26 @ SV53 @ SV26 @ SV80 ) )
= $true )
| ( ( ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) )
= $true )
| ( ( ~ ( midp @ SV113 @ SV53 @ SV103 ) )
= $true )
| ( ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[502]) ).
thf(517,plain,
! [SV56: $i,SV2: $i,SV83: $i,SV29: $i] :
( ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[503]) ).
thf(518,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) ) )
= $true )
| ( ( ~ ( coll @ SV105 @ SV31 @ SV85 ) )
= $true )
| ( ( ~ ( coll @ SV115 @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[504]) ).
thf(519,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) ) )
= $true )
| ( ( ~ ( ( SV107 != SV117 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[505]) ).
thf(520,plain,
! [SV12: $i,SV66: $i,SV39: $i,SV92: $i,SV108: $i] :
( ( ( ~ ( coll @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV92 @ SV108 ) )
= $false )
| ( ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
= $false )
| ( ( coll @ SV39 @ SV92 @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(521,plain,
! [SV12: $i,SV66: $i,SV39: $i,SV92: $i,SV108: $i] :
( ( ( ~ ( perp @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV12 @ SV92 @ SV108 ) )
= $false )
| ( ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
= $false )
| ( ( coll @ SV39 @ SV92 @ SV108 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[506]) ).
thf(522,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
| ~ ( coll @ SV70 @ SV16 @ SV43 ) )
= $true )
| ( ( ~ ( coll @ SV96 @ SV16 @ SV43 ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[507]) ).
thf(523,plain,
! [SV75: $i,SV98: $i,SV21: $i,SV48: $i] :
( ( ( coll @ SV48 @ SV21 @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) )
= $true )
| ( ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
= $false )
| ( ( cong @ SV75 @ SV21 @ SV75 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(524,plain,
! [SV75: $i,SV98: $i,SV21: $i,SV48: $i] :
( ( ( coll @ ( sK14_SY451 @ SV48 @ SV21 @ SV98 @ SV75 ) @ SV75 @ SV98 )
= $true )
| ( ( perp @ SV75 @ SV98 @ SV21 @ SV48 )
= $false )
| ( ( cong @ SV75 @ SV21 @ SV75 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(525,plain,
! [SV77: $i,SV50: $i,SV23: $i,SV100: $i] :
( ( ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV23 @ SV50 )
= $true )
| ( ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
= $false )
| ( ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[512]) ).
thf(526,plain,
! [SV77: $i,SV50: $i,SV23: $i,SV100: $i] :
( ( ( coll @ ( sK15_SY454 @ SV100 @ SV23 @ SV50 @ SV77 ) @ SV77 @ SV100 )
= $true )
| ( ( perp @ SV77 @ SV50 @ SV50 @ SV23 )
= $false )
| ( ( eqangle @ SV100 @ SV77 @ SV50 @ SV77 @ SV50 @ SV77 @ SV23 @ SV77 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[513]) ).
thf(527,plain,
! [SV78: $i,SV101: $i,SV24: $i,SV51: $i] :
( ( ( coll @ SV51 @ SV24 @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) )
= $true )
| ( ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
= $false )
| ( ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[514]) ).
thf(528,plain,
! [SV78: $i,SV101: $i,SV24: $i,SV51: $i] :
( ( ( coll @ ( sK16_SY455 @ SV51 @ SV24 @ SV101 @ SV78 ) @ SV78 @ SV101 )
= $true )
| ( ( perp @ SV78 @ SV101 @ SV24 @ SV51 )
= $false )
| ( ( eqangle @ SV24 @ SV78 @ SV78 @ SV101 @ SV78 @ SV101 @ SV78 @ SV51 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(529,plain,
! [SV113: $i,SV103: $i,SV80: $i,SV53: $i,SV26: $i] :
( ( ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
= $false )
| ( ( ~ ( perp @ SV80 @ SV26 @ SV80 @ SV103 ) )
= $true )
| ( ( ~ ( midp @ SV113 @ SV53 @ SV103 ) )
= $true )
| ( ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(530,plain,
! [SV2: $i,SV83: $i,SV29: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
| ~ ( perp @ SV29 @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
= $false )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(531,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ( ~ ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) ) )
= $false )
| ( ( ~ ( coll @ SV105 @ SV31 @ SV85 ) )
= $true )
| ( ( ~ ( coll @ SV115 @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(532,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ( ~ ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) ) )
= $false )
| ( ( ~ ( ( SV107 != SV117 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(533,plain,
! [SV12: $i,SV66: $i,SV39: $i,SV92: $i,SV108: $i] :
( ( ( coll @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV92 @ SV108 )
= $true )
| ( ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
= $false )
| ( ( coll @ SV39 @ SV92 @ SV108 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(534,plain,
! [SV12: $i,SV66: $i,SV39: $i,SV92: $i,SV108: $i] :
( ( ( perp @ ( sK17_SY468 @ SV108 @ SV92 @ SV39 @ SV66 @ SV12 ) @ SV12 @ SV92 @ SV108 )
= $true )
| ( ( perp @ SV12 @ SV66 @ SV66 @ SV39 )
= $false )
| ( ( coll @ SV39 @ SV92 @ SV108 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[521]) ).
thf(535,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ( ~ ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) ) )
= $true )
| ( ( ~ ( coll @ SV70 @ SV16 @ SV43 ) )
= $true )
| ( ( ~ ( coll @ SV96 @ SV16 @ SV43 ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[522]) ).
thf(536,plain,
! [SV113: $i,SV53: $i,SV103: $i,SV26: $i,SV80: $i] :
( ( ( perp @ SV80 @ SV26 @ SV80 @ SV103 )
= $false )
| ( ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
= $false )
| ( ( ~ ( midp @ SV113 @ SV53 @ SV103 ) )
= $true )
| ( ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(537,plain,
! [SV2: $i,SV83: $i,SV29: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) ) )
= $false )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(538,plain,
! [SV2: $i,SV83: $i,SV56: $i,SV29: $i] :
( ( ( ~ ( perp @ SV29 @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
= $false )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[530]) ).
thf(539,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 )
| ~ ( coll @ SV105 @ SV4 @ SV58 ) )
= $true )
| ( ( ~ ( coll @ SV105 @ SV31 @ SV85 ) )
= $true )
| ( ( ~ ( coll @ SV115 @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(540,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
| ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
= $true )
| ( ( ~ ( ( SV107 != SV117 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(541,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ( ~ ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) ) )
= $false )
| ( ( ~ ( coll @ SV70 @ SV16 @ SV43 ) )
= $true )
| ( ( ~ ( coll @ SV96 @ SV16 @ SV43 ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[535]) ).
thf(542,plain,
! [SV80: $i,SV26: $i,SV103: $i,SV53: $i,SV113: $i] :
( ( ( midp @ SV113 @ SV53 @ SV103 )
= $false )
| ( ( perp @ SV26 @ SV53 @ SV26 @ SV80 )
= $false )
| ( ( perp @ SV80 @ SV26 @ SV80 @ SV103 )
= $false )
| ( ( midp @ ( sK18_SY473 @ SV113 @ SV103 @ SV80 @ SV53 @ SV26 ) @ SV26 @ SV80 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[536]) ).
thf(543,plain,
! [SV2: $i,SV83: $i,SV29: $i,SV56: $i] :
( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) ) )
= $true )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[537]) ).
thf(544,plain,
! [SV2: $i,SV83: $i,SV56: $i,SV29: $i] :
( ( ( perp @ SV29 @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 )
= $true )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[538]) ).
thf(545,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ( ~ ( para @ SV4 @ SV31 @ SV58 @ SV85 ) )
= $true )
| ( ( ~ ( coll @ SV105 @ SV4 @ SV58 ) )
= $true )
| ( ( ~ ( coll @ SV105 @ SV31 @ SV85 ) )
= $true )
| ( ( ~ ( coll @ SV115 @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(546,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ( ~ ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) ) )
= $true )
| ( ( ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
= $true )
| ( ( ~ ( ( SV107 != SV117 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[540]) ).
thf(547,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ( ~ ( midp @ SV110 @ SV16 @ SV43 )
| ~ ( midp @ SV118 @ SV70 @ SV96 ) )
= $true )
| ( ( ~ ( coll @ SV70 @ SV16 @ SV43 ) )
= $true )
| ( ( ~ ( coll @ SV96 @ SV16 @ SV43 ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(548,plain,
! [SV2: $i,SV83: $i,SV29: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
| ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
= $false )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(549,plain,
! [SV115: $i,SV105: $i,SV85: $i,SV58: $i,SV31: $i,SV4: $i] :
( ( ( para @ SV4 @ SV31 @ SV58 @ SV85 )
= $false )
| ( ( ~ ( coll @ SV105 @ SV4 @ SV58 ) )
= $true )
| ( ( ~ ( coll @ SV105 @ SV31 @ SV85 ) )
= $true )
| ( ( ~ ( coll @ SV115 @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(550,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ( ~ ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) ) )
= $false )
| ( ( ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
= $true )
| ( ( ~ ( ( SV107 != SV117 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(551,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ( ~ ( midp @ SV110 @ SV16 @ SV43 ) )
= $true )
| ( ( ~ ( midp @ SV118 @ SV70 @ SV96 ) )
= $true )
| ( ( ~ ( coll @ SV70 @ SV16 @ SV43 ) )
= $true )
| ( ( ~ ( coll @ SV96 @ SV16 @ SV43 ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[547]) ).
thf(552,plain,
! [SV2: $i,SV83: $i,SV29: $i,SV56: $i] :
( ( ( ~ ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) ) )
= $false )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(553,plain,
! [SV2: $i,SV83: $i,SV29: $i,SV56: $i] :
( ( ( ~ ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 ) )
= $false )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[548]) ).
thf(554,plain,
! [SV115: $i,SV85: $i,SV31: $i,SV58: $i,SV4: $i,SV105: $i] :
( ( ( coll @ SV105 @ SV4 @ SV58 )
= $false )
| ( ( para @ SV4 @ SV31 @ SV58 @ SV85 )
= $false )
| ( ( ~ ( coll @ SV105 @ SV31 @ SV85 ) )
= $true )
| ( ( ~ ( coll @ SV115 @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(555,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
| ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
= $true )
| ( ( ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
= $true )
| ( ( ~ ( ( SV107 != SV117 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[550]) ).
thf(556,plain,
! [SV121: $i,SV96: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV110: $i] :
( ( ( midp @ SV110 @ SV16 @ SV43 )
= $false )
| ( ( ~ ( midp @ SV118 @ SV70 @ SV96 ) )
= $true )
| ( ( ~ ( coll @ SV70 @ SV16 @ SV43 ) )
= $true )
| ( ( ~ ( coll @ SV96 @ SV16 @ SV43 ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(557,plain,
! [SV2: $i,SV83: $i,SV29: $i,SV56: $i] :
( ( ( ~ ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) ) )
= $true )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[552]) ).
thf(558,plain,
! [SV2: $i,SV83: $i,SV29: $i,SV56: $i] :
( ( ( coll @ ( sK21_SY474 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV2 )
= $true )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[553]) ).
thf(559,plain,
! [SV115: $i,SV58: $i,SV4: $i,SV85: $i,SV31: $i,SV105: $i] :
( ( ( coll @ SV105 @ SV31 @ SV85 )
= $false )
| ( ( para @ SV4 @ SV31 @ SV58 @ SV85 )
= $false )
| ( ( coll @ SV105 @ SV4 @ SV58 )
= $false )
| ( ( ~ ( coll @ SV115 @ SV4 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(560,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ( ~ ( circle @ SV107 @ SV9 @ SV36 @ SV63 ) )
= $true )
| ( ( ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
= $true )
| ( ( ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
= $true )
| ( ( ~ ( ( SV107 != SV117 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[555]) ).
thf(561,plain,
! [SV121: $i,SV43: $i,SV16: $i,SV110: $i,SV96: $i,SV70: $i,SV118: $i] :
( ( ( midp @ SV118 @ SV70 @ SV96 )
= $false )
| ( ( midp @ SV110 @ SV16 @ SV43 )
= $false )
| ( ( ~ ( coll @ SV70 @ SV16 @ SV43 ) )
= $true )
| ( ( ~ ( coll @ SV96 @ SV16 @ SV43 ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[556]) ).
thf(562,plain,
! [SV2: $i,SV83: $i,SV29: $i,SV56: $i] :
( ( ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
| ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
= $false )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(563,plain,
! [SV85: $i,SV58: $i,SV105: $i,SV31: $i,SV4: $i,SV115: $i] :
( ( ( coll @ SV115 @ SV4 @ SV31 )
= $false )
| ( ( coll @ SV105 @ SV4 @ SV58 )
= $false )
| ( ( para @ SV4 @ SV31 @ SV58 @ SV85 )
= $false )
| ( ( coll @ SV105 @ SV31 @ SV85 )
= $false )
| ( ( ~ ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[559]) ).
thf(564,plain,
! [SV117: $i,SV90: $i,SV63: $i,SV36: $i,SV9: $i,SV107: $i] :
( ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( ~ ( cong @ SV107 @ SV9 @ SV107 @ SV90 ) )
= $true )
| ( ( ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
= $true )
| ( ( ~ ( ( SV107 != SV117 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[560]) ).
thf(565,plain,
! [SV121: $i,SV96: $i,SV118: $i,SV110: $i,SV43: $i,SV16: $i,SV70: $i] :
( ( ( coll @ SV70 @ SV16 @ SV43 )
= $false )
| ( ( midp @ SV110 @ SV16 @ SV43 )
= $false )
| ( ( midp @ SV118 @ SV70 @ SV96 )
= $false )
| ( ( ~ ( coll @ SV96 @ SV16 @ SV43 ) )
= $true )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[561]) ).
thf(566,plain,
! [SV2: $i,SV83: $i,SV29: $i,SV56: $i] :
( ( ( ~ ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
= $false )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(567,plain,
! [SV83: $i,SV29: $i,SV56: $i,SV2: $i] :
( ( ( ~ ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 ) )
= $false )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(568,plain,
! [SV4: $i,SV31: $i,SV58: $i,SV85: $i,SV115: $i,SV105: $i] :
( ( ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
| ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) )
= $false )
| ( ( coll @ SV105 @ SV31 @ SV85 )
= $false )
| ( ( para @ SV4 @ SV31 @ SV58 @ SV85 )
= $false )
| ( ( coll @ SV105 @ SV4 @ SV58 )
= $false )
| ( ( coll @ SV115 @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(569,plain,
! [SV117: $i,SV63: $i,SV36: $i,SV90: $i,SV9: $i,SV107: $i] :
( ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( ~ ( cong @ SV117 @ SV9 @ SV117 @ SV36 ) )
= $true )
| ( ( ~ ( ( SV107 != SV117 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(570,plain,
! [SV121: $i,SV110: $i,SV70: $i,SV118: $i,SV43: $i,SV16: $i,SV96: $i] :
( ( ( coll @ SV96 @ SV16 @ SV43 )
= $false )
| ( ( midp @ SV118 @ SV70 @ SV96 )
= $false )
| ( ( midp @ SV110 @ SV16 @ SV43 )
= $false )
| ( ( coll @ SV70 @ SV16 @ SV43 )
= $false )
| ( ( midp @ ( sK22_SY483 @ SV121 @ SV96 @ SV70 @ SV118 @ SV43 @ SV16 @ SV110 ) @ SV16 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[565]) ).
thf(571,plain,
! [SV2: $i,SV83: $i,SV29: $i,SV56: $i] :
( ( ( coll @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
= $true )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(572,plain,
! [SV83: $i,SV29: $i,SV56: $i,SV2: $i] :
( ( ( perp @ SV2 @ ( sK11_SY429 @ SV56 @ SV29 @ SV83 @ SV2 ) @ SV56 @ SV29 )
= $true )
| ( ( perp @ SV2 @ SV83 @ SV29 @ SV56 )
= $false )
| ( ( perp @ SV29 @ SV83 @ SV2 @ SV56 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[567]) ).
thf(573,plain,
! [SV4: $i,SV31: $i,SV58: $i,SV85: $i,SV115: $i,SV105: $i] :
( ( ( ~ ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) ) )
= $false )
| ( ( coll @ SV105 @ SV31 @ SV85 )
= $false )
| ( ( para @ SV4 @ SV31 @ SV58 @ SV85 )
= $false )
| ( ( coll @ SV105 @ SV4 @ SV58 )
= $false )
| ( ( coll @ SV115 @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(574,plain,
! [SV4: $i,SV31: $i,SV58: $i,SV85: $i,SV105: $i,SV115: $i] :
( ( ( ~ ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 ) )
= $false )
| ( ( coll @ SV105 @ SV31 @ SV85 )
= $false )
| ( ( para @ SV4 @ SV31 @ SV58 @ SV85 )
= $false )
| ( ( coll @ SV105 @ SV4 @ SV58 )
= $false )
| ( ( coll @ SV115 @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(575,plain,
! [SV90: $i,SV63: $i,SV107: $i,SV36: $i,SV9: $i,SV117: $i] :
( ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( ~ ( ( SV107 != SV117 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(576,plain,
! [SV4: $i,SV31: $i,SV58: $i,SV85: $i,SV115: $i,SV105: $i] :
( ( ( coll @ SV105 @ SV115 @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) )
= $true )
| ( ( coll @ SV105 @ SV31 @ SV85 )
= $false )
| ( ( para @ SV4 @ SV31 @ SV58 @ SV85 )
= $false )
| ( ( coll @ SV105 @ SV4 @ SV58 )
= $false )
| ( ( coll @ SV115 @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[573]) ).
thf(577,plain,
! [SV4: $i,SV31: $i,SV58: $i,SV85: $i,SV105: $i,SV115: $i] :
( ( ( coll @ ( sK19_SY475 @ SV115 @ SV105 @ SV85 @ SV58 @ SV31 @ SV4 ) @ SV58 @ SV85 )
= $true )
| ( ( coll @ SV105 @ SV31 @ SV85 )
= $false )
| ( ( para @ SV4 @ SV31 @ SV58 @ SV85 )
= $false )
| ( ( coll @ SV105 @ SV4 @ SV58 )
= $false )
| ( ( coll @ SV115 @ SV4 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[574]) ).
thf(578,plain,
! [SV63: $i,SV36: $i,SV90: $i,SV9: $i,SV117: $i,SV107: $i] :
( ( ( SV107 != SV117 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(579,plain,
! [SV63: $i,SV36: $i,SV90: $i,SV9: $i,SV117: $i,SV107: $i] :
( ( ( SV107 = SV117 )
= $true )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[578]) ).
thf(580,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
| ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
= $false )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(581,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) ) )
= $false )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(582,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( ~ ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
= $false )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(583,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) ) )
= $true )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(584,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( cong @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 )
= $true )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[582]) ).
thf(585,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
| ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
= $false )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[583]) ).
thf(586,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( ~ ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $false )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(587,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( ~ ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 ) )
= $false )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[585]) ).
thf(588,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( ~ ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) ) )
= $true )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[586]) ).
thf(589,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( coll @ ( sK23_SY484 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV36 @ SV90 )
= $true )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[587]) ).
thf(590,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
| ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
= $false )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(591,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( ~ ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 ) )
= $false )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(592,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( ~ ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 ) )
= $false )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[590]) ).
thf(593,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( coll @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV9 @ SV63 )
= $true )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[591]) ).
thf(594,plain,
! [SV107: $i,SV9: $i,SV36: $i,SV63: $i,SV90: $i,SV117: $i] :
( ( ( cong @ ( sK20_SY478 @ SV117 @ SV90 @ SV63 @ SV36 @ SV9 @ SV107 ) @ SV117 @ SV117 @ SV9 )
= $true )
| ( ( cong @ SV117 @ SV9 @ SV117 @ SV36 )
= $false )
| ( ( circle @ SV107 @ SV9 @ SV36 @ SV63 )
= $false )
| ( ( cong @ SV107 @ SV9 @ SV107 @ SV90 )
= $false )
| ( ( SV107 = SV117 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[592]) ).
thf(595,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[171,594,593,589,584,577,576,572,571,570,558,544,542,534,533,528,527,526,525,524,523,509,508,493,484,475,465,463,456,437,435,434,433,418,358,345,342,335,334,326,207,178,177,176,175,174,173,172]) ).
thf(596,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[595]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO547+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n018.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 10:20:22 UTC 2026
% 0.07/0.20 % CPUTime :
% 0.07/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.33/1.21
% 5.33/1.21 No.of.Axioms: 27
% 5.33/1.21
% 5.33/1.21 Length.of.Defs: 0
% 5.33/1.21
% 5.33/1.21 Contains.Choice.Funs: false
% 5.33/1.21 .............................
% 5.33/1.21
% 5.33/1.21 ********************************
% 5.33/1.21 * All subproblems solved! *
% 5.33/1.21 ********************************
% 5.33/1.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:35,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:595,loop_count:0,foatp_calls:1,translation:fof_full)
% 5.33/1.21
% 5.33/1.21 %**** Beginning of derivation protocol ****
% 5.33/1.21 % SZS output start CNFRefutation
% See solution above
% 5.33/1.21
% 5.33/1.21 %**** End of derivation protocol ****
% 5.33/1.21 %**** no. of clauses in derivation: 529 ****
% 5.33/1.21 %**** clause counter: 595 ****
% 5.33/1.21
% 5.33/1.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:35,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:595,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------