%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO620+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 : n001.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 10:19:24 AM UTC 2026
% Result : Theorem 3.67s 0.84s
% Output : CNFRefutation 3.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 44
% Syntax : Number of formulae : 746 ( 423 unt; 0 typ; 0 def)
% Number of atoms : 4867 (1191 equ; 0 cnn)
% Maximal formula atoms : 11 ( 6 avg)
% Number of connectives : 16957 (2455 ~;1368 |; 231 &;12763 @)
% ( 0 <=>; 140 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 10 con; 0-8 aty)
% Number of variables : 3904 ( 0 ^;3865 !; 39 ?;3904 :)
% 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_SY706,type,
sK10_SY706: $i > $i > $i > $i > $i ).
thf(tp_sK11_SY720,type,
sK11_SY720: $i > $i > $i > $i > $i ).
thf(tp_sK12_SY754,type,
sK12_SY754: $i > $i > $i > $i > $i ).
thf(tp_sK13_SY755,type,
sK13_SY755: $i > $i > $i > $i > $i ).
thf(tp_sK14_SY764,type,
sK14_SY764: $i > $i > $i > $i > $i ).
thf(tp_sK15_SY766,type,
sK15_SY766: $i > $i > $i > $i > $i ).
thf(tp_sK16_SY779,type,
sK16_SY779: $i > $i > $i > $i > $i > $i ).
thf(tp_sK17_SY789,type,
sK17_SY789: $i > $i > $i > $i > $i > $i ).
thf(tp_sK18_SY791,type,
sK18_SY791: $i > $i > $i > $i > $i > $i ).
thf(tp_sK19_SY820,type,
sK19_SY820: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK20_SY811,type,
sK20_SY811: $i > $i > $i > $i > $i ).
thf(tp_sK21_SY835,type,
sK21_SY835: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK2_SY240,type,
sK2_SY240: $i ).
thf(tp_sK3_SY247,type,
sK3_SY247: $i ).
thf(tp_sK4_SY253,type,
sK4_SY253: $i ).
thf(tp_sK5_SY258,type,
sK5_SY258: $i ).
thf(tp_sK6_SY262,type,
sK6_SY262: $i ).
thf(tp_sK7_SY265,type,
sK7_SY265: $i ).
thf(tp_sK8_SY267,type,
sK8_SY267: $i ).
thf(tp_sK9_SY627,type,
sK9_SY627: $i > $i > $i > $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(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(14,axiom,
! [A: $i,B: $i,P: $i,X: $i,Y: $i] :
? [Q: $i] :
( ( ( eqangle @ A @ P @ B @ P @ A @ X @ B @ Y )
& ~ ( coll @ A @ B @ P ) )
=> ( ( eqangle @ A @ P @ B @ P @ A @ Q @ B @ Q )
& ( cyclic @ X @ B @ P @ Q ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX5) ).
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(17,axiom,
! [A: $i,B: $i,O: $i,X: $i] :
? [M: $i] :
( ( ( cong @ O @ A @ O @ 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',ruleX2) ).
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(21,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 )
& ( para @ P @ Q @ U @ V ) )
=> ( para @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD73) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
& ~ ( perp @ A @ B @ C @ D ) )
=> ( para @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD72) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
& ~ ( para @ A @ B @ C @ D ) )
=> ( perp @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD71) ).
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(34,axiom,
! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
( ( simtri @ A @ B @ C @ P @ Q @ R )
=> ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD60) ).
thf(36,axiom,
! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
( ( ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R )
& ( eqangle @ A @ C @ B @ C @ P @ R @ Q @ R )
& ~ ( coll @ A @ B @ C ) )
=> ( simtri @ A @ B @ C @ P @ Q @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD58) ).
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(47,axiom,
! [A: $i,B: $i,O: $i] :
( ( ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B )
& ~ ( coll @ O @ A @ B ) )
=> ( cong @ O @ A @ O @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD47) ).
thf(48,axiom,
! [A: $i,B: $i,O: $i] :
( ( cong @ O @ A @ O @ B )
=> ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD46) ).
thf(52,axiom,
! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
& ( coll @ P @ Q @ B ) )
=> ( cyclic @ A @ B @ P @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42b) ).
thf(53,axiom,
! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
& ~ ( coll @ P @ Q @ A ) )
=> ( cyclic @ A @ B @ P @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD42a) ).
thf(54,axiom,
! [A: $i,B: $i,P: $i,Q: $i] :
( ( cyclic @ A @ B @ P @ Q )
=> ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD41) ).
thf(55,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
( ( para @ A @ B @ C @ D )
=> ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD40) ).
thf(56,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
( ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q )
=> ( para @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).
thf(73,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
=> ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD22) ).
thf(74,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 )
=> ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD21) ).
thf(75,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 )
=> ( eqangle @ P @ Q @ U @ V @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).
thf(76,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 )
=> ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).
thf(77,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 )
=> ( eqangle @ B @ A @ C @ D @ P @ Q @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD18) ).
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,I: $i,E: $i,J: $i,L: $i] :
( ( ( eqangle @ O @ A @ A @ B @ O @ A @ A @ C )
& ( eqangle @ O @ B @ B @ C @ O @ B @ B @ A )
& ( eqangle @ O @ C @ C @ A @ O @ C @ C @ B )
& ( perp @ I @ C @ A @ O )
& ( coll @ I @ A @ O )
& ( perp @ A @ O @ A @ E )
& ( perp @ J @ C @ A @ E )
& ( coll @ J @ A @ E )
& ( perp @ L @ C @ B @ O )
& ( coll @ L @ B @ O ) )
=> ( coll @ I @ L @ J ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110982) ).
thf(96,negated_conjecture,
( ( ! [A: $i,B: $i,C: $i,O: $i,I: $i,E: $i,J: $i,L: $i] :
( ( ( eqangle @ O @ A @ A @ B @ O @ A @ A @ C )
& ( eqangle @ O @ B @ B @ C @ O @ B @ B @ A )
& ( eqangle @ O @ C @ C @ A @ O @ C @ C @ B )
& ( perp @ I @ C @ A @ O )
& ( coll @ I @ A @ O )
& ( perp @ A @ O @ A @ E )
& ( perp @ J @ C @ A @ E )
& ( coll @ J @ A @ E )
& ( perp @ L @ C @ B @ O )
& ( coll @ L @ B @ O ) )
=> ( coll @ I @ L @ J ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[95]) ).
thf(97,plain,
( ( ! [A: $i,B: $i,C: $i,O: $i,I: $i,E: $i,J: $i,L: $i] :
( ( ( eqangle @ O @ A @ A @ B @ O @ A @ A @ C )
& ( eqangle @ O @ B @ B @ C @ O @ B @ B @ A )
& ( eqangle @ O @ C @ C @ A @ O @ C @ C @ B )
& ( perp @ I @ C @ A @ O )
& ( coll @ I @ A @ O )
& ( perp @ A @ O @ A @ E )
& ( perp @ J @ C @ A @ E )
& ( coll @ J @ A @ E )
& ( perp @ L @ C @ B @ O )
& ( coll @ L @ B @ O ) )
=> ( coll @ I @ L @ J ) ) )
= $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,O: $i] :
? [P: $i] :
( ( circle @ O @ A @ B @ C )
=> ( perp @ P @ A @ A @ O ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(103,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(104,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(105,plain,
( ( ! [A: $i,B: $i,P: $i,X: $i,Y: $i] :
? [Q: $i] :
( ( ( eqangle @ A @ P @ B @ P @ A @ X @ B @ Y )
& ~ ( coll @ A @ B @ P ) )
=> ( ( eqangle @ A @ P @ B @ P @ A @ Q @ B @ Q )
& ( cyclic @ X @ B @ P @ Q ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(106,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(107,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(108,plain,
( ( ! [A: $i,B: $i,O: $i,X: $i] :
? [M: $i] :
( ( ( cong @ O @ A @ O @ B )
& ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ M @ O @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
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,D: $i,P: $i,Q: $i,U: $i,V: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( para @ P @ Q @ U @ V ) )
=> ( para @ A @ B @ C @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(112,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
& ~ ( perp @ A @ B @ C @ D ) )
=> ( para @ A @ B @ C @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(113,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
& ~ ( para @ A @ B @ C @ D ) )
=> ( perp @ A @ B @ C @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(114,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(115,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( para @ A @ B @ A @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(116,plain,
( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
( ( simtri @ A @ B @ C @ P @ Q @ R )
=> ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(117,plain,
( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
( ( ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R )
& ( eqangle @ A @ C @ B @ C @ P @ R @ Q @ R )
& ~ ( coll @ A @ B @ C ) )
=> ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(118,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(119,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(120,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(121,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(122,plain,
( ( ! [A: $i,B: $i,O: $i] :
( ( ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B )
& ~ ( coll @ O @ A @ B ) )
=> ( cong @ O @ A @ O @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(123,plain,
( ( ! [A: $i,B: $i,O: $i] :
( ( cong @ O @ A @ O @ B )
=> ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(124,plain,
( ( ! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
& ( coll @ P @ Q @ B ) )
=> ( cyclic @ A @ B @ P @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(125,plain,
( ( ! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
& ~ ( coll @ P @ Q @ A ) )
=> ( cyclic @ A @ B @ P @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(126,plain,
( ( ! [A: $i,B: $i,P: $i,Q: $i] :
( ( cyclic @ A @ B @ P @ Q )
=> ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(127,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
( ( para @ A @ B @ C @ D )
=> ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(128,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
( ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q )
=> ( para @ A @ B @ C @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(129,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
=> ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(130,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 )
=> ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(131,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 )
=> ( eqangle @ P @ Q @ U @ V @ A @ B @ C @ D ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(132,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 )
=> ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(133,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 )
=> ( eqangle @ B @ A @ C @ D @ P @ Q @ U @ V ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(134,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(135,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(136,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(137,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(138,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(139,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ B @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(140,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ A @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(141,plain,
( ( ! [SY240: $i,SY241: $i,SY242: $i,SY243: $i,SY244: $i,SY245: $i,SY246: $i] :
( ( ( eqangle @ SY242 @ sK1_A @ sK1_A @ SY240 @ SY242 @ sK1_A @ sK1_A @ SY241 )
& ( eqangle @ SY242 @ SY240 @ SY240 @ SY241 @ SY242 @ SY240 @ SY240 @ sK1_A )
& ( eqangle @ SY242 @ SY241 @ SY241 @ sK1_A @ SY242 @ SY241 @ SY241 @ SY240 )
& ( perp @ SY243 @ SY241 @ sK1_A @ SY242 )
& ( coll @ SY243 @ sK1_A @ SY242 )
& ( perp @ sK1_A @ SY242 @ sK1_A @ SY244 )
& ( perp @ SY245 @ SY241 @ sK1_A @ SY244 )
& ( coll @ SY245 @ sK1_A @ SY244 )
& ( perp @ SY246 @ SY241 @ SY240 @ SY242 )
& ( coll @ SY246 @ SY240 @ SY242 ) )
=> ( coll @ SY243 @ SY246 @ SY245 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[97]) ).
thf(142,plain,
( ( ! [SY247: $i,SY248: $i,SY249: $i,SY250: $i,SY251: $i,SY252: $i] :
( ( ( eqangle @ SY248 @ sK1_A @ sK1_A @ sK2_SY240 @ SY248 @ sK1_A @ sK1_A @ SY247 )
& ( eqangle @ SY248 @ sK2_SY240 @ sK2_SY240 @ SY247 @ SY248 @ sK2_SY240 @ sK2_SY240 @ sK1_A )
& ( eqangle @ SY248 @ SY247 @ SY247 @ sK1_A @ SY248 @ SY247 @ SY247 @ sK2_SY240 )
& ( perp @ SY249 @ SY247 @ sK1_A @ SY248 )
& ( coll @ SY249 @ sK1_A @ SY248 )
& ( perp @ sK1_A @ SY248 @ sK1_A @ SY250 )
& ( perp @ SY251 @ SY247 @ sK1_A @ SY250 )
& ( coll @ SY251 @ sK1_A @ SY250 )
& ( perp @ SY252 @ SY247 @ sK2_SY240 @ SY248 )
& ( coll @ SY252 @ sK2_SY240 @ SY248 ) )
=> ( coll @ SY249 @ SY252 @ SY251 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[141]) ).
thf(143,plain,
( ( ! [SY253: $i,SY254: $i,SY255: $i,SY256: $i,SY257: $i] :
( ( ( eqangle @ SY253 @ sK1_A @ sK1_A @ sK2_SY240 @ SY253 @ sK1_A @ sK1_A @ sK3_SY247 )
& ( eqangle @ SY253 @ sK2_SY240 @ sK2_SY240 @ sK3_SY247 @ SY253 @ sK2_SY240 @ sK2_SY240 @ sK1_A )
& ( eqangle @ SY253 @ sK3_SY247 @ sK3_SY247 @ sK1_A @ SY253 @ sK3_SY247 @ sK3_SY247 @ sK2_SY240 )
& ( perp @ SY254 @ sK3_SY247 @ sK1_A @ SY253 )
& ( coll @ SY254 @ sK1_A @ SY253 )
& ( perp @ sK1_A @ SY253 @ sK1_A @ SY255 )
& ( perp @ SY256 @ sK3_SY247 @ sK1_A @ SY255 )
& ( coll @ SY256 @ sK1_A @ SY255 )
& ( perp @ SY257 @ sK3_SY247 @ sK2_SY240 @ SY253 )
& ( coll @ SY257 @ sK2_SY240 @ SY253 ) )
=> ( coll @ SY254 @ SY257 @ SY256 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(144,plain,
( ( ! [SY258: $i,SY259: $i,SY260: $i,SY261: $i] :
( ( ( eqangle @ sK4_SY253 @ sK1_A @ sK1_A @ sK2_SY240 @ sK4_SY253 @ sK1_A @ sK1_A @ sK3_SY247 )
& ( eqangle @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK3_SY247 @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK1_A )
& ( eqangle @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK1_A @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK2_SY240 )
& ( perp @ SY258 @ sK3_SY247 @ sK1_A @ sK4_SY253 )
& ( coll @ SY258 @ sK1_A @ sK4_SY253 )
& ( perp @ sK1_A @ sK4_SY253 @ sK1_A @ SY259 )
& ( perp @ SY260 @ sK3_SY247 @ sK1_A @ SY259 )
& ( coll @ SY260 @ sK1_A @ SY259 )
& ( perp @ SY261 @ sK3_SY247 @ sK2_SY240 @ sK4_SY253 )
& ( coll @ SY261 @ sK2_SY240 @ sK4_SY253 ) )
=> ( coll @ SY258 @ SY261 @ SY260 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[143]) ).
thf(145,plain,
( ( ! [SY262: $i,SY263: $i,SY264: $i] :
( ( ( eqangle @ sK4_SY253 @ sK1_A @ sK1_A @ sK2_SY240 @ sK4_SY253 @ sK1_A @ sK1_A @ sK3_SY247 )
& ( eqangle @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK3_SY247 @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK1_A )
& ( eqangle @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK1_A @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK2_SY240 )
& ( perp @ sK5_SY258 @ sK3_SY247 @ sK1_A @ sK4_SY253 )
& ( coll @ sK5_SY258 @ sK1_A @ sK4_SY253 )
& ( perp @ sK1_A @ sK4_SY253 @ sK1_A @ SY262 )
& ( perp @ SY263 @ sK3_SY247 @ sK1_A @ SY262 )
& ( coll @ SY263 @ sK1_A @ SY262 )
& ( perp @ SY264 @ sK3_SY247 @ sK2_SY240 @ sK4_SY253 )
& ( coll @ SY264 @ sK2_SY240 @ sK4_SY253 ) )
=> ( coll @ sK5_SY258 @ SY264 @ SY263 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[144]) ).
thf(146,plain,
( ( ! [SY265: $i,SY266: $i] :
( ( ( eqangle @ sK4_SY253 @ sK1_A @ sK1_A @ sK2_SY240 @ sK4_SY253 @ sK1_A @ sK1_A @ sK3_SY247 )
& ( eqangle @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK3_SY247 @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK1_A )
& ( eqangle @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK1_A @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK2_SY240 )
& ( perp @ sK5_SY258 @ sK3_SY247 @ sK1_A @ sK4_SY253 )
& ( coll @ sK5_SY258 @ sK1_A @ sK4_SY253 )
& ( perp @ sK1_A @ sK4_SY253 @ sK1_A @ sK6_SY262 )
& ( perp @ SY265 @ sK3_SY247 @ sK1_A @ sK6_SY262 )
& ( coll @ SY265 @ sK1_A @ sK6_SY262 )
& ( perp @ SY266 @ sK3_SY247 @ sK2_SY240 @ sK4_SY253 )
& ( coll @ SY266 @ sK2_SY240 @ sK4_SY253 ) )
=> ( coll @ sK5_SY258 @ SY266 @ SY265 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[145]) ).
thf(147,plain,
( ( ! [SY267: $i] :
( ( ( eqangle @ sK4_SY253 @ sK1_A @ sK1_A @ sK2_SY240 @ sK4_SY253 @ sK1_A @ sK1_A @ sK3_SY247 )
& ( eqangle @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK3_SY247 @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK1_A )
& ( eqangle @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK1_A @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK2_SY240 )
& ( perp @ sK5_SY258 @ sK3_SY247 @ sK1_A @ sK4_SY253 )
& ( coll @ sK5_SY258 @ sK1_A @ sK4_SY253 )
& ( perp @ sK1_A @ sK4_SY253 @ sK1_A @ sK6_SY262 )
& ( perp @ sK7_SY265 @ sK3_SY247 @ sK1_A @ sK6_SY262 )
& ( coll @ sK7_SY265 @ sK1_A @ sK6_SY262 )
& ( perp @ SY267 @ sK3_SY247 @ sK2_SY240 @ sK4_SY253 )
& ( coll @ SY267 @ sK2_SY240 @ sK4_SY253 ) )
=> ( coll @ sK5_SY258 @ SY267 @ sK7_SY265 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[146]) ).
thf(148,plain,
( ( ( ( eqangle @ sK4_SY253 @ sK1_A @ sK1_A @ sK2_SY240 @ sK4_SY253 @ sK1_A @ sK1_A @ sK3_SY247 )
& ( eqangle @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK3_SY247 @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK1_A )
& ( eqangle @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK1_A @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK2_SY240 )
& ( perp @ sK5_SY258 @ sK3_SY247 @ sK1_A @ sK4_SY253 )
& ( coll @ sK5_SY258 @ sK1_A @ sK4_SY253 )
& ( perp @ sK1_A @ sK4_SY253 @ sK1_A @ sK6_SY262 )
& ( perp @ sK7_SY265 @ sK3_SY247 @ sK1_A @ sK6_SY262 )
& ( coll @ sK7_SY265 @ sK1_A @ sK6_SY262 )
& ( perp @ sK8_SY267 @ sK3_SY247 @ sK2_SY240 @ sK4_SY253 )
& ( coll @ sK8_SY267 @ sK2_SY240 @ sK4_SY253 ) )
=> ( coll @ sK5_SY258 @ sK8_SY267 @ sK7_SY265 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[147]) ).
thf(149,plain,
( ( eqangle @ sK4_SY253 @ sK1_A @ sK1_A @ sK2_SY240 @ sK4_SY253 @ sK1_A @ sK1_A @ sK3_SY247 )
= $true ),
inference(standard_cnf,[status(thm)],[148]) ).
thf(150,plain,
( ( eqangle @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK3_SY247 @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK1_A )
= $true ),
inference(standard_cnf,[status(thm)],[148]) ).
thf(151,plain,
( ( eqangle @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK1_A @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK2_SY240 )
= $true ),
inference(standard_cnf,[status(thm)],[148]) ).
thf(152,plain,
( ( perp @ sK5_SY258 @ sK3_SY247 @ sK1_A @ sK4_SY253 )
= $true ),
inference(standard_cnf,[status(thm)],[148]) ).
thf(153,plain,
( ( coll @ sK5_SY258 @ sK1_A @ sK4_SY253 )
= $true ),
inference(standard_cnf,[status(thm)],[148]) ).
thf(154,plain,
( ( perp @ sK1_A @ sK4_SY253 @ sK1_A @ sK6_SY262 )
= $true ),
inference(standard_cnf,[status(thm)],[148]) ).
thf(155,plain,
( ( perp @ sK7_SY265 @ sK3_SY247 @ sK1_A @ sK6_SY262 )
= $true ),
inference(standard_cnf,[status(thm)],[148]) ).
thf(156,plain,
( ( coll @ sK7_SY265 @ sK1_A @ sK6_SY262 )
= $true ),
inference(standard_cnf,[status(thm)],[148]) ).
thf(157,plain,
( ( perp @ sK8_SY267 @ sK3_SY247 @ sK2_SY240 @ sK4_SY253 )
= $true ),
inference(standard_cnf,[status(thm)],[148]) ).
thf(158,plain,
( ( coll @ sK8_SY267 @ sK2_SY240 @ sK4_SY253 )
= $true ),
inference(standard_cnf,[status(thm)],[148]) ).
thf(159,plain,
( ( coll @ sK5_SY258 @ sK8_SY267 @ sK7_SY265 )
= $false ),
inference(standard_cnf,[status(thm)],[148]) ).
thf(160,plain,
( ( ~ ( coll @ sK5_SY258 @ sK8_SY267 @ sK7_SY265 ) )
= $true ),
inference(polarity_switch,[status(thm)],[159]) ).
thf(161,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ A @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[140]) ).
thf(162,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ B @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(163,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)],[138]) ).
thf(164,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ A @ B @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(165,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ C @ D @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(166,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)],[135]) ).
thf(167,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)],[134]) ).
thf(168,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 )
=> ( eqangle @ B @ A @ C @ D @ P @ Q @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(169,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 )
=> ( eqangle @ C @ D @ A @ B @ U @ V @ P @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(170,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 )
=> ( eqangle @ P @ Q @ U @ V @ A @ B @ C @ D ) ) )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(171,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 )
=> ( eqangle @ A @ B @ P @ Q @ C @ D @ U @ V ) ) )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(172,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i,E: $i,F: $i,G: $i,H: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( eqangle @ P @ Q @ U @ V @ E @ F @ G @ H ) )
=> ( eqangle @ A @ B @ C @ D @ E @ F @ G @ H ) ) )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(173,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
( ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q )
=> ( para @ A @ B @ C @ D ) ) )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(174,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i] :
( ( para @ A @ B @ C @ D )
=> ( eqangle @ A @ B @ P @ Q @ C @ D @ P @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(175,plain,
( ( ! [A: $i,B: $i,P: $i,Q: $i] :
( ( cyclic @ A @ B @ P @ Q )
=> ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(176,plain,
( ( ! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
& ~ ( coll @ P @ Q @ A ) )
=> ( cyclic @ A @ B @ P @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(177,plain,
( ( ! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( eqangle @ P @ A @ P @ B @ Q @ A @ Q @ B )
& ( coll @ P @ Q @ B ) )
=> ( cyclic @ A @ B @ P @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[124]) ).
thf(178,plain,
( ( ! [A: $i,B: $i,O: $i] :
( ( cong @ O @ A @ O @ B )
=> ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B ) ) )
= $true ),
inference(copy,[status(thm)],[123]) ).
thf(179,plain,
( ( ! [A: $i,B: $i,O: $i] :
( ( ( eqangle @ O @ A @ A @ B @ A @ B @ O @ B )
& ~ ( coll @ O @ A @ B ) )
=> ( cong @ O @ A @ O @ B ) ) )
= $true ),
inference(copy,[status(thm)],[122]) ).
thf(180,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)],[121]) ).
thf(181,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)],[120]) ).
thf(182,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)],[119]) ).
thf(183,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)],[118]) ).
thf(184,plain,
( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
( ( ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R )
& ( eqangle @ A @ C @ B @ C @ P @ R @ Q @ R )
& ~ ( coll @ A @ B @ C ) )
=> ( simtri @ A @ B @ C @ P @ Q @ R ) ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(185,plain,
( ( ! [A: $i,B: $i,C: $i,P: $i,Q: $i,R: $i] :
( ( simtri @ A @ B @ C @ P @ Q @ R )
=> ( eqangle @ A @ B @ B @ C @ P @ Q @ Q @ R ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(186,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( para @ A @ B @ A @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(187,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[114]) ).
thf(188,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
& ~ ( para @ A @ B @ C @ D ) )
=> ( perp @ A @ B @ C @ D ) ) )
= $true ),
inference(copy,[status(thm)],[113]) ).
thf(189,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( ( eqangle @ A @ B @ C @ D @ C @ D @ A @ B )
& ~ ( perp @ A @ B @ C @ D ) )
=> ( para @ A @ B @ C @ D ) ) )
= $true ),
inference(copy,[status(thm)],[112]) ).
thf(190,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 )
& ( para @ P @ Q @ U @ V ) )
=> ( para @ A @ B @ C @ D ) ) )
= $true ),
inference(copy,[status(thm)],[111]) ).
thf(191,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(192,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(193,plain,
( ( ! [A: $i,B: $i,O: $i,X: $i] :
? [M: $i] :
( ( ( cong @ O @ A @ O @ 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(194,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)],[107]) ).
thf(195,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)],[106]) ).
thf(196,plain,
( ( ! [A: $i,B: $i,P: $i,X: $i,Y: $i] :
? [Q: $i] :
( ( ( eqangle @ A @ P @ B @ P @ A @ X @ B @ Y )
& ~ ( coll @ A @ B @ P ) )
=> ( ( eqangle @ A @ P @ B @ P @ A @ Q @ B @ Q )
& ( cyclic @ X @ B @ P @ Q ) ) ) )
= $true ),
inference(copy,[status(thm)],[105]) ).
thf(197,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)],[104]) ).
thf(198,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)],[103]) ).
thf(199,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)],[102]) ).
thf(200,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(201,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(202,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(203,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(204,plain,
( ( coll @ sK8_SY267 @ sK2_SY240 @ sK4_SY253 )
= $true ),
inference(copy,[status(thm)],[158]) ).
thf(205,plain,
( ( perp @ sK8_SY267 @ sK3_SY247 @ sK2_SY240 @ sK4_SY253 )
= $true ),
inference(copy,[status(thm)],[157]) ).
thf(206,plain,
( ( coll @ sK7_SY265 @ sK1_A @ sK6_SY262 )
= $true ),
inference(copy,[status(thm)],[156]) ).
thf(207,plain,
( ( perp @ sK7_SY265 @ sK3_SY247 @ sK1_A @ sK6_SY262 )
= $true ),
inference(copy,[status(thm)],[155]) ).
thf(208,plain,
( ( perp @ sK1_A @ sK4_SY253 @ sK1_A @ sK6_SY262 )
= $true ),
inference(copy,[status(thm)],[154]) ).
thf(209,plain,
( ( coll @ sK5_SY258 @ sK1_A @ sK4_SY253 )
= $true ),
inference(copy,[status(thm)],[153]) ).
thf(210,plain,
( ( perp @ sK5_SY258 @ sK3_SY247 @ sK1_A @ sK4_SY253 )
= $true ),
inference(copy,[status(thm)],[152]) ).
thf(211,plain,
( ( eqangle @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK1_A @ sK4_SY253 @ sK3_SY247 @ sK3_SY247 @ sK2_SY240 )
= $true ),
inference(copy,[status(thm)],[151]) ).
thf(212,plain,
( ( eqangle @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK3_SY247 @ sK4_SY253 @ sK2_SY240 @ sK2_SY240 @ sK1_A )
= $true ),
inference(copy,[status(thm)],[150]) ).
thf(213,plain,
( ( eqangle @ sK4_SY253 @ sK1_A @ sK1_A @ sK2_SY240 @ sK4_SY253 @ sK1_A @ sK1_A @ sK3_SY247 )
= $true ),
inference(copy,[status(thm)],[149]) ).
thf(214,plain,
( ( ~ ( coll @ sK5_SY258 @ sK8_SY267 @ sK7_SY265 ) )
= $true ),
inference(copy,[status(thm)],[160]) ).
thf(215,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( eqangle @ SX2 @ SX0 @ SX2 @ SX1 @ SX3 @ SX0 @ SX3 @ SX1 )
| ~ ( coll @ SX2 @ SX3 @ SX1 ) )
| ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(216,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)],[198]) ).
thf(217,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)],[163]) ).
thf(218,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)],[191]) ).
thf(219,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( eqangle @ SX0 @ SX1 @ SX4 @ SX5 @ SX2 @ SX3 @ SX4 @ SX5 )
| ( para @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(220,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
| ( eqangle @ SX2 @ SX0 @ SX0 @ SX1 @ SX0 @ SX1 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(221,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 )
| ( eqangle @ SX4 @ SX5 @ SX6 @ SX7 @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(222,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ! [SX5: $i] :
~ ( ~ ~ ( ~ ( eqangle @ SX0 @ SX2 @ SX1 @ SX2 @ SX0 @ SX3 @ SX1 @ SX4 )
| ~ ~ ( coll @ SX0 @ SX1 @ SX2 ) )
| ~ ( ~ ( eqangle @ SX0 @ SX2 @ SX1 @ SX2 @ SX0 @ SX5 @ SX1 @ SX5 )
| ~ ( cyclic @ SX3 @ SX1 @ SX2 @ SX5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(223,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)],[165]) ).
thf(224,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ! [SX4: $i] :
~ ( ~ ~ ( ~ ( cong @ SX2 @ SX0 @ SX2 @ SX1 )
| ~ ( eqangle @ SX0 @ SX2 @ SX2 @ SX3 @ SX2 @ SX3 @ SX2 @ SX1 ) )
| ~ ( ~ ( coll @ SX1 @ SX0 @ SX4 )
| ~ ( coll @ SX4 @ SX2 @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(225,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)],[202]) ).
thf(226,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)],[197]) ).
thf(227,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)],[167]) ).
thf(228,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 )
| ~ ( para @ SX4 @ SX5 @ SX6 @ SX7 ) )
| ( para @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(229,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)],[203]) ).
thf(230,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)],[201]) ).
thf(231,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)],[164]) ).
thf(232,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( simtri @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 )
| ( eqangle @ SX0 @ SX1 @ SX1 @ SX2 @ SX3 @ SX4 @ SX4 @ SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(233,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)],[200]) ).
thf(234,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)],[166]) ).
thf(235,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ~ ( ~ ( eqangle @ SX2 @ SX0 @ SX0 @ SX1 @ SX0 @ SX1 @ SX2 @ SX1 )
| ~ ~ ( coll @ SX2 @ SX0 @ SX1 ) )
| ( cong @ SX2 @ SX0 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(236,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 )
| ( eqangle @ SX0 @ SX1 @ SX4 @ SX5 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(237,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 )
| ( eqangle @ SX2 @ SX0 @ SX2 @ SX1 @ SX3 @ SX0 @ SX3 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(238,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( coll @ SX0 @ SX1 @ SX2 )
| ( coll @ SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(239,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ~ ( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX1 @ SX2 @ SX3 @ SX4 @ SX4 @ SX5 )
| ~ ( eqangle @ SX0 @ SX2 @ SX1 @ SX2 @ SX3 @ SX5 @ SX4 @ SX5 ) )
| ~ ~ ( coll @ SX0 @ SX1 @ SX2 ) )
| ( simtri @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(240,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 )
| ( eqangle @ SX2 @ SX3 @ SX0 @ SX1 @ SX6 @ SX7 @ SX4 @ SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(241,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 )
| ( eqangle @ SX0 @ SX1 @ SX4 @ SX5 @ SX2 @ SX3 @ SX6 @ SX7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(242,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)],[183]) ).
thf(243,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)],[194]) ).
thf(244,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( coll @ SX0 @ SX1 @ SX2 )
| ( coll @ SX0 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(245,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( midp @ SX0 @ SX1 @ SX2 )
| ( coll @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(246,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)],[199]) ).
thf(247,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i,SX6: $i,SX7: $i,SX8: $i,SX9: $i,SX10: $i,SX11: $i] :
( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 )
| ~ ( eqangle @ SX4 @ SX5 @ SX6 @ SX7 @ SX8 @ SX9 @ SX10 @ SX11 ) )
| ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX8 @ SX9 @ SX10 @ SX11 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(248,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)],[192]) ).
thf(249,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( para @ SX0 @ SX1 @ SX0 @ SX2 )
| ( coll @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(250,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( eqangle @ SX2 @ SX0 @ SX2 @ SX1 @ SX3 @ SX0 @ SX3 @ SX1 )
| ~ ~ ( coll @ SX2 @ SX3 @ SX0 ) )
| ( cyclic @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(251,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)],[181]) ).
thf(252,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)],[195]) ).
thf(253,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 )
| ( eqangle @ SX1 @ SX0 @ SX2 @ SX3 @ SX4 @ SX5 @ SX6 @ SX7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(254,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)],[180]) ).
thf(255,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX2 @ SX3 @ SX0 @ SX1 )
| ~ ~ ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ( para @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(256,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ~ ( ~ ( eqangle @ SX0 @ SX1 @ SX2 @ SX3 @ SX2 @ SX3 @ SX0 @ SX1 )
| ~ ~ ( para @ SX0 @ SX1 @ SX2 @ SX3 ) )
| ( perp @ SX0 @ SX1 @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(257,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)],[182]) ).
thf(258,plain,
( ( coll @ sK5_SY258 @ sK8_SY267 @ sK7_SY265 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[214]) ).
thf(259,plain,
! [SV1: $i] :
( ( ! [SY268: $i,SY269: $i,SY270: $i] :
( ~ ~ ( ~ ( eqangle @ SY269 @ SV1 @ SY269 @ SY268 @ SY270 @ SV1 @ SY270 @ SY268 )
| ~ ( coll @ SY269 @ SY270 @ SY268 ) )
| ( cyclic @ SV1 @ SY268 @ SY269 @ SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(260,plain,
! [SV2: $i] :
( ( ! [SY271: $i,SY272: $i,SY273: $i] :
~ ! [SY274: $i] :
~ ~ ! [SY275: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SY273 @ SY271 @ SY272 )
| ~ ( perp @ SY271 @ SY273 @ SV2 @ SY272 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY274 @ SY272 @ SY271 )
| ~ ( perp @ SV2 @ SY274 @ SY272 @ SY271 ) )
| ~ ( coll @ SY275 @ SY272 @ SV2 ) )
| ~ ( perp @ SY271 @ SY275 @ SY272 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(261,plain,
! [SV3: $i] :
( ( ! [SY276: $i,SY277: $i,SY278: $i] :
( ~ ~ ( ~ ( coll @ SV3 @ SY276 @ SY277 )
| ~ ( coll @ SV3 @ SY276 @ SY278 ) )
| ( coll @ SY277 @ SY278 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(262,plain,
! [SV4: $i] :
( ( ! [SY279: $i,SY280: $i,SY281: $i,SY282: $i,SY283: $i,SY284: $i,SY285: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SY279 @ SY280 @ SY281 @ SY282 @ SY283 @ SY284 @ SY285 )
| ~ ( perp @ SY282 @ SY283 @ SY284 @ SY285 ) )
| ( perp @ SV4 @ SY279 @ SY280 @ SY281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(263,plain,
! [SV5: $i] :
( ( ! [SY286: $i,SY287: $i,SY288: $i,SY289: $i,SY290: $i] :
( ~ ( eqangle @ SV5 @ SY286 @ SY289 @ SY290 @ SY287 @ SY288 @ SY289 @ SY290 )
| ( para @ SV5 @ SY286 @ SY287 @ SY288 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(264,plain,
! [SV6: $i] :
( ( ! [SY291: $i,SY292: $i] :
( ~ ( cong @ SY292 @ SV6 @ SY292 @ SY291 )
| ( eqangle @ SY292 @ SV6 @ SV6 @ SY291 @ SV6 @ SY291 @ SY292 @ SY291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(265,plain,
! [SV7: $i] :
( ( ! [SY293: $i,SY294: $i,SY295: $i,SY296: $i,SY297: $i,SY298: $i,SY299: $i] :
( ~ ( eqangle @ SV7 @ SY293 @ SY294 @ SY295 @ SY296 @ SY297 @ SY298 @ SY299 )
| ( eqangle @ SY296 @ SY297 @ SY298 @ SY299 @ SV7 @ SY293 @ SY294 @ SY295 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(266,plain,
! [SV8: $i] :
( ( ! [SY300: $i,SY301: $i,SY302: $i,SY303: $i] :
~ ! [SY304: $i] :
~ ( ~ ~ ( ~ ( eqangle @ SV8 @ SY301 @ SY300 @ SY301 @ SV8 @ SY302 @ SY300 @ SY303 )
| ~ ~ ( coll @ SV8 @ SY300 @ SY301 ) )
| ~ ( ~ ( eqangle @ SV8 @ SY301 @ SY300 @ SY301 @ SV8 @ SY304 @ SY300 @ SY304 )
| ~ ( cyclic @ SY302 @ SY300 @ SY301 @ SY304 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(267,plain,
! [SV9: $i] :
( ( ! [SY305: $i,SY306: $i,SY307: $i] :
( ~ ( perp @ SV9 @ SY305 @ SY306 @ SY307 )
| ( perp @ SY306 @ SY307 @ SV9 @ SY305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(268,plain,
! [SV10: $i] :
( ( ! [SY308: $i,SY309: $i,SY310: $i] :
~ ! [SY311: $i] :
~ ( ~ ~ ( ~ ( cong @ SY309 @ SV10 @ SY309 @ SY308 )
| ~ ( eqangle @ SV10 @ SY309 @ SY309 @ SY310 @ SY309 @ SY310 @ SY309 @ SY308 ) )
| ~ ( ~ ( coll @ SY308 @ SV10 @ SY311 )
| ~ ( coll @ SY311 @ SY309 @ SY310 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(269,plain,
! [SV11: $i] :
( ( ! [SY312: $i,SY313: $i] :
~ ! [SY314: $i] :
~ ( ~ ~ ( ~ ( cong @ SY313 @ SV11 @ SY313 @ SY312 )
| ~ ( perp @ SV11 @ SY313 @ SY313 @ SY312 ) )
| ~ ( ~ ( coll @ SV11 @ SY313 @ SY314 )
| ~ ( cong @ SY313 @ SV11 @ SY313 @ SY314 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(270,plain,
! [SV12: $i] :
( ( ! [SY315: $i,SY316: $i,SY317: $i,SY318: $i,SY319: $i,SY320: $i] :
~ ! [SY321: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY318 @ SV12 @ SY315 )
| ~ ( midp @ SY319 @ SY316 @ SY317 ) )
| ~ ( coll @ SY316 @ SV12 @ SY315 ) )
| ~ ( coll @ SY317 @ SV12 @ SY315 ) )
| ( midp @ SY321 @ SV12 @ SY320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(271,plain,
! [SV13: $i] :
( ( ! [SY322: $i,SY323: $i,SY324: $i,SY325: $i,SY326: $i] :
( ~ ~ ( ~ ( para @ SV13 @ SY322 @ SY323 @ SY324 )
| ~ ( perp @ SY323 @ SY324 @ SY325 @ SY326 ) )
| ( perp @ SV13 @ SY322 @ SY325 @ SY326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(272,plain,
! [SV14: $i] :
( ( ! [SY327: $i,SY328: $i,SY329: $i,SY330: $i,SY331: $i,SY332: $i,SY333: $i] :
( ~ ~ ( ~ ( eqangle @ SV14 @ SY327 @ SY328 @ SY329 @ SY330 @ SY331 @ SY332 @ SY333 )
| ~ ( para @ SY330 @ SY331 @ SY332 @ SY333 ) )
| ( para @ SV14 @ SY327 @ SY328 @ SY329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(273,plain,
! [SV15: $i] :
( ( ! [SY334: $i,SY335: $i,SY336: $i,SY337: $i,SY338: $i] :
~ ! [SY339: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SY334 @ SY335 @ SY336 )
| ~ ( coll @ SY337 @ SV15 @ SY335 ) )
| ~ ( coll @ SY337 @ SY334 @ SY336 ) )
| ~ ( coll @ SY338 @ SV15 @ SY334 ) )
| ~ ( ~ ( coll @ SY337 @ SY338 @ SY339 )
| ~ ( coll @ SY339 @ SY335 @ SY336 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(274,plain,
! [SV16: $i] :
( ( ! [SY340: $i,SY341: $i,SY342: $i,SY343: $i] :
~ ! [SY344: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV16 @ SY340 @ SV16 @ SY341 )
| ~ ( perp @ SY341 @ SV16 @ SY341 @ SY342 ) )
| ~ ( midp @ SY343 @ SY340 @ SY342 ) )
| ( midp @ SY344 @ SV16 @ SY341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(275,plain,
! [SV17: $i] :
( ( ! [SY345: $i,SY346: $i,SY347: $i] :
( ~ ( perp @ SV17 @ SY345 @ SY346 @ SY347 )
| ( perp @ SV17 @ SY345 @ SY347 @ SY346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(276,plain,
! [SV18: $i] :
( ( ! [SY348: $i,SY349: $i,SY350: $i,SY351: $i,SY352: $i] :
( ~ ( simtri @ SV18 @ SY348 @ SY349 @ SY350 @ SY351 @ SY352 )
| ( eqangle @ SV18 @ SY348 @ SY348 @ SY349 @ SY350 @ SY351 @ SY351 @ SY352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(277,plain,
! [SV19: $i] :
( ( ! [SY353: $i,SY354: $i,SY355: $i,SY356: $i] :
~ ! [SY357: $i] :
~ ( ~ ~ ( ~ ( perp @ SV19 @ SY354 @ SY354 @ SY353 )
| ~ ( coll @ SY353 @ SY355 @ SY356 ) )
| ~ ( ~ ( coll @ SY357 @ SY355 @ SY356 )
| ~ ( perp @ SY357 @ SV19 @ SY355 @ SY356 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(278,plain,
! [SV20: $i] :
( ( ! [SY358: $i,SY359: $i,SY360: $i,SY361: $i,SY362: $i] :
( ~ ~ ( ~ ( perp @ SV20 @ SY358 @ SY359 @ SY360 )
| ~ ( perp @ SY359 @ SY360 @ SY361 @ SY362 ) )
| ( para @ SV20 @ SY358 @ SY361 @ SY362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(279,plain,
! [SV21: $i] :
( ( ! [SY363: $i,SY364: $i] :
( ~ ~ ( ~ ( eqangle @ SY364 @ SV21 @ SV21 @ SY363 @ SV21 @ SY363 @ SY364 @ SY363 )
| ~ ~ ( coll @ SY364 @ SV21 @ SY363 ) )
| ( cong @ SY364 @ SV21 @ SY364 @ SY363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(280,plain,
! [SV22: $i] :
( ( ! [SY365: $i,SY366: $i,SY367: $i,SY368: $i,SY369: $i] :
( ~ ( para @ SV22 @ SY365 @ SY366 @ SY367 )
| ( eqangle @ SV22 @ SY365 @ SY368 @ SY369 @ SY366 @ SY367 @ SY368 @ SY369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(281,plain,
! [SV23: $i] :
( ( ! [SY370: $i,SY371: $i,SY372: $i] :
( ~ ( cyclic @ SV23 @ SY370 @ SY371 @ SY372 )
| ( eqangle @ SY371 @ SV23 @ SY371 @ SY370 @ SY372 @ SV23 @ SY372 @ SY370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(282,plain,
! [SV24: $i] :
( ( ! [SY373: $i,SY374: $i] :
( ~ ( coll @ SV24 @ SY373 @ SY374 )
| ( coll @ SY373 @ SV24 @ SY374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(283,plain,
! [SV25: $i] :
( ( ! [SY375: $i,SY376: $i,SY377: $i,SY378: $i,SY379: $i] :
( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV25 @ SY375 @ SY375 @ SY376 @ SY377 @ SY378 @ SY378 @ SY379 )
| ~ ( eqangle @ SV25 @ SY376 @ SY375 @ SY376 @ SY377 @ SY379 @ SY378 @ SY379 ) )
| ~ ~ ( coll @ SV25 @ SY375 @ SY376 ) )
| ( simtri @ SV25 @ SY375 @ SY376 @ SY377 @ SY378 @ SY379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(284,plain,
! [SV26: $i] :
( ( ! [SY380: $i,SY381: $i,SY382: $i,SY383: $i,SY384: $i,SY385: $i,SY386: $i] :
( ~ ( eqangle @ SV26 @ SY380 @ SY381 @ SY382 @ SY383 @ SY384 @ SY385 @ SY386 )
| ( eqangle @ SY381 @ SY382 @ SV26 @ SY380 @ SY385 @ SY386 @ SY383 @ SY384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[240]) ).
thf(285,plain,
! [SV27: $i] :
( ( ! [SY387: $i,SY388: $i,SY389: $i,SY390: $i,SY391: $i,SY392: $i,SY393: $i] :
( ~ ( eqangle @ SV27 @ SY387 @ SY388 @ SY389 @ SY390 @ SY391 @ SY392 @ SY393 )
| ( eqangle @ SV27 @ SY387 @ SY390 @ SY391 @ SY388 @ SY389 @ SY392 @ SY393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(286,plain,
! [SV28: $i] :
( ( ! [SY394: $i,SY395: $i,SY396: $i] :
( ~ ~ ( ~ ( cong @ SV28 @ SY395 @ SY394 @ SY395 )
| ~ ( cong @ SV28 @ SY396 @ SY394 @ SY396 ) )
| ( perp @ SV28 @ SY394 @ SY395 @ SY396 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(287,plain,
! [SV29: $i] :
( ( ! [SY397: $i,SY398: $i,SY399: $i] :
~ ! [SY400: $i] :
~ ( ~ ~ ( ~ ( perp @ SY398 @ SY399 @ SV29 @ SY397 )
| ~ ( eqangle @ SV29 @ SY398 @ SY398 @ SY399 @ SY398 @ SY399 @ SY398 @ SY397 ) )
| ~ ( ~ ( coll @ SY397 @ SV29 @ SY400 )
| ~ ( coll @ SY400 @ SY398 @ SY399 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(288,plain,
! [SV30: $i] :
( ( ! [SY401: $i,SY402: $i] :
( ~ ( coll @ SV30 @ SY401 @ SY402 )
| ( coll @ SV30 @ SY402 @ SY401 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(289,plain,
! [SV31: $i] :
( ( ! [SY403: $i,SY404: $i] :
( ~ ( midp @ SV31 @ SY403 @ SY404 )
| ( coll @ SV31 @ SY403 @ SY404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(290,plain,
! [SV32: $i] :
( ( ! [SY405: $i,SY406: $i,SY407: $i] :
~ ! [SY408: $i] :
~ ( ~ ( circle @ SY407 @ SV32 @ SY405 @ SY406 )
| ( perp @ SY408 @ SV32 @ SV32 @ SY407 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(291,plain,
! [SV33: $i] :
( ( ! [SY409: $i,SY410: $i,SY411: $i,SY412: $i,SY413: $i,SY414: $i,SY415: $i,SY416: $i,SY417: $i,SY418: $i,SY419: $i] :
( ~ ~ ( ~ ( eqangle @ SV33 @ SY409 @ SY410 @ SY411 @ SY412 @ SY413 @ SY414 @ SY415 )
| ~ ( eqangle @ SY412 @ SY413 @ SY414 @ SY415 @ SY416 @ SY417 @ SY418 @ SY419 ) )
| ( eqangle @ SV33 @ SY409 @ SY410 @ SY411 @ SY416 @ SY417 @ SY418 @ SY419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(292,plain,
! [SV34: $i] :
( ( ! [SY420: $i,SY421: $i,SY422: $i] :
~ ! [SY423: $i] :
~ ( ~ ~ ( ~ ( perp @ SY421 @ SY420 @ SY420 @ SV34 )
| ~ ( eqangle @ SY422 @ SY421 @ SY420 @ SY421 @ SY420 @ SY421 @ SV34 @ SY421 ) )
| ~ ( ~ ( coll @ SY423 @ SV34 @ SY420 )
| ~ ( coll @ SY423 @ SY421 @ SY422 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(293,plain,
! [SV35: $i] :
( ( ! [SY424: $i,SY425: $i] :
( ~ ( para @ SV35 @ SY424 @ SV35 @ SY425 )
| ( coll @ SV35 @ SY424 @ SY425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(294,plain,
! [SV36: $i] :
( ( ! [SY426: $i,SY427: $i,SY428: $i] :
( ~ ~ ( ~ ( eqangle @ SY427 @ SV36 @ SY427 @ SY426 @ SY428 @ SV36 @ SY428 @ SY426 )
| ~ ~ ( coll @ SY427 @ SY428 @ SV36 ) )
| ( cyclic @ SV36 @ SY426 @ SY427 @ SY428 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(295,plain,
! [SV37: $i] :
( ( ! [SY429: $i,SY430: $i,SY431: $i,SY432: $i] :
( ~ ~ ( ~ ( circle @ SY431 @ SV37 @ SY429 @ SY430 )
| ~ ( eqangle @ SV37 @ SY432 @ SV37 @ SY429 @ SY430 @ SV37 @ SY430 @ SY429 ) )
| ( perp @ SY431 @ SV37 @ SV37 @ SY432 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(296,plain,
! [SV38: $i] :
( ( ! [SY433: $i,SY434: $i,SY435: $i] :
~ ! [SY436: $i] :
~ ( ~ ~ ( ~ ( perp @ SY434 @ SY435 @ SV38 @ SY433 )
| ~ ( cong @ SY434 @ SV38 @ SY434 @ SY433 ) )
| ~ ( ~ ( coll @ SY433 @ SV38 @ SY436 )
| ~ ( coll @ SY436 @ SY434 @ SY435 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(297,plain,
! [SV39: $i] :
( ( ! [SY437: $i,SY438: $i,SY439: $i,SY440: $i,SY441: $i,SY442: $i,SY443: $i] :
( ~ ( eqangle @ SV39 @ SY437 @ SY438 @ SY439 @ SY440 @ SY441 @ SY442 @ SY443 )
| ( eqangle @ SY437 @ SV39 @ SY438 @ SY439 @ SY440 @ SY441 @ SY442 @ SY443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(298,plain,
! [SV40: $i] :
( ( ! [SY444: $i,SY445: $i,SY446: $i,SY447: $i] :
( ~ ~ ( ~ ( circle @ SY446 @ SV40 @ SY444 @ SY445 )
| ~ ( perp @ SY446 @ SV40 @ SV40 @ SY447 ) )
| ( eqangle @ SV40 @ SY447 @ SV40 @ SY444 @ SY445 @ SV40 @ SY445 @ SY444 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(299,plain,
! [SV41: $i] :
( ( ! [SY448: $i,SY449: $i,SY450: $i] :
( ~ ~ ( ~ ( eqangle @ SV41 @ SY448 @ SY449 @ SY450 @ SY449 @ SY450 @ SV41 @ SY448 )
| ~ ~ ( perp @ SV41 @ SY448 @ SY449 @ SY450 ) )
| ( para @ SV41 @ SY448 @ SY449 @ SY450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(300,plain,
! [SV42: $i] :
( ( ! [SY451: $i,SY452: $i,SY453: $i] :
( ~ ~ ( ~ ( eqangle @ SV42 @ SY451 @ SY452 @ SY453 @ SY452 @ SY453 @ SV42 @ SY451 )
| ~ ~ ( para @ SV42 @ SY451 @ SY452 @ SY453 ) )
| ( perp @ SV42 @ SY451 @ SY452 @ SY453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(301,plain,
! [SV43: $i] :
( ( ! [SY454: $i,SY455: $i,SY456: $i] :
( ~ ~ ( ~ ( circle @ SY456 @ SV43 @ SY454 @ SY455 )
| ~ ( coll @ SY456 @ SV43 @ SY455 ) )
| ( perp @ SV43 @ SY454 @ SY454 @ SY455 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(302,plain,
! [SV44: $i,SV1: $i] :
( ( ! [SY457: $i,SY458: $i] :
( ~ ~ ( ~ ( eqangle @ SY457 @ SV1 @ SY457 @ SV44 @ SY458 @ SV1 @ SY458 @ SV44 )
| ~ ( coll @ SY457 @ SY458 @ SV44 ) )
| ( cyclic @ SV1 @ SV44 @ SY457 @ SY458 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(303,plain,
! [SV45: $i,SV2: $i] :
( ( ! [SY459: $i,SY460: $i] :
~ ! [SY461: $i] :
~ ~ ! [SY462: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SY460 @ SV45 @ SY459 )
| ~ ( perp @ SV45 @ SY460 @ SV2 @ SY459 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY461 @ SY459 @ SV45 )
| ~ ( perp @ SV2 @ SY461 @ SY459 @ SV45 ) )
| ~ ( coll @ SY462 @ SY459 @ SV2 ) )
| ~ ( perp @ SV45 @ SY462 @ SY459 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(304,plain,
! [SV46: $i,SV3: $i] :
( ( ! [SY463: $i,SY464: $i] :
( ~ ~ ( ~ ( coll @ SV3 @ SV46 @ SY463 )
| ~ ( coll @ SV3 @ SV46 @ SY464 ) )
| ( coll @ SY463 @ SY464 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(305,plain,
! [SV47: $i,SV4: $i] :
( ( ! [SY465: $i,SY466: $i,SY467: $i,SY468: $i,SY469: $i,SY470: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV47 @ SY465 @ SY466 @ SY467 @ SY468 @ SY469 @ SY470 )
| ~ ( perp @ SY467 @ SY468 @ SY469 @ SY470 ) )
| ( perp @ SV4 @ SV47 @ SY465 @ SY466 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[262]) ).
thf(306,plain,
! [SV48: $i,SV5: $i] :
( ( ! [SY471: $i,SY472: $i,SY473: $i,SY474: $i] :
( ~ ( eqangle @ SV5 @ SV48 @ SY473 @ SY474 @ SY471 @ SY472 @ SY473 @ SY474 )
| ( para @ SV5 @ SV48 @ SY471 @ SY472 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(307,plain,
! [SV49: $i,SV6: $i] :
( ( ! [SY475: $i] :
( ~ ( cong @ SY475 @ SV6 @ SY475 @ SV49 )
| ( eqangle @ SY475 @ SV6 @ SV6 @ SV49 @ SV6 @ SV49 @ SY475 @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(308,plain,
! [SV50: $i,SV7: $i] :
( ( ! [SY476: $i,SY477: $i,SY478: $i,SY479: $i,SY480: $i,SY481: $i] :
( ~ ( eqangle @ SV7 @ SV50 @ SY476 @ SY477 @ SY478 @ SY479 @ SY480 @ SY481 )
| ( eqangle @ SY478 @ SY479 @ SY480 @ SY481 @ SV7 @ SV50 @ SY476 @ SY477 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(309,plain,
! [SV51: $i,SV8: $i] :
( ( ! [SY482: $i,SY483: $i,SY484: $i] :
~ ! [SY485: $i] :
~ ( ~ ~ ( ~ ( eqangle @ SV8 @ SY482 @ SV51 @ SY482 @ SV8 @ SY483 @ SV51 @ SY484 )
| ~ ~ ( coll @ SV8 @ SV51 @ SY482 ) )
| ~ ( ~ ( eqangle @ SV8 @ SY482 @ SV51 @ SY482 @ SV8 @ SY485 @ SV51 @ SY485 )
| ~ ( cyclic @ SY483 @ SV51 @ SY482 @ SY485 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(310,plain,
! [SV52: $i,SV9: $i] :
( ( ! [SY486: $i,SY487: $i] :
( ~ ( perp @ SV9 @ SV52 @ SY486 @ SY487 )
| ( perp @ SY486 @ SY487 @ SV9 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(311,plain,
! [SV53: $i,SV10: $i] :
( ( ! [SY488: $i,SY489: $i] :
~ ! [SY490: $i] :
~ ( ~ ~ ( ~ ( cong @ SY488 @ SV10 @ SY488 @ SV53 )
| ~ ( eqangle @ SV10 @ SY488 @ SY488 @ SY489 @ SY488 @ SY489 @ SY488 @ SV53 ) )
| ~ ( ~ ( coll @ SV53 @ SV10 @ SY490 )
| ~ ( coll @ SY490 @ SY488 @ SY489 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(312,plain,
! [SV54: $i,SV11: $i] :
( ( ! [SY491: $i] :
~ ! [SY492: $i] :
~ ( ~ ~ ( ~ ( cong @ SY491 @ SV11 @ SY491 @ SV54 )
| ~ ( perp @ SV11 @ SY491 @ SY491 @ SV54 ) )
| ~ ( ~ ( coll @ SV11 @ SY491 @ SY492 )
| ~ ( cong @ SY491 @ SV11 @ SY491 @ SY492 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[269]) ).
thf(313,plain,
! [SV55: $i,SV12: $i] :
( ( ! [SY493: $i,SY494: $i,SY495: $i,SY496: $i,SY497: $i] :
~ ! [SY498: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY495 @ SV12 @ SV55 )
| ~ ( midp @ SY496 @ SY493 @ SY494 ) )
| ~ ( coll @ SY493 @ SV12 @ SV55 ) )
| ~ ( coll @ SY494 @ SV12 @ SV55 ) )
| ( midp @ SY498 @ SV12 @ SY497 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(314,plain,
! [SV56: $i,SV13: $i] :
( ( ! [SY499: $i,SY500: $i,SY501: $i,SY502: $i] :
( ~ ~ ( ~ ( para @ SV13 @ SV56 @ SY499 @ SY500 )
| ~ ( perp @ SY499 @ SY500 @ SY501 @ SY502 ) )
| ( perp @ SV13 @ SV56 @ SY501 @ SY502 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[271]) ).
thf(315,plain,
! [SV57: $i,SV14: $i] :
( ( ! [SY503: $i,SY504: $i,SY505: $i,SY506: $i,SY507: $i,SY508: $i] :
( ~ ~ ( ~ ( eqangle @ SV14 @ SV57 @ SY503 @ SY504 @ SY505 @ SY506 @ SY507 @ SY508 )
| ~ ( para @ SY505 @ SY506 @ SY507 @ SY508 ) )
| ( para @ SV14 @ SV57 @ SY503 @ SY504 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(316,plain,
! [SV58: $i,SV15: $i] :
( ( ! [SY509: $i,SY510: $i,SY511: $i,SY512: $i] :
~ ! [SY513: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SY509 @ SY510 )
| ~ ( coll @ SY511 @ SV15 @ SY509 ) )
| ~ ( coll @ SY511 @ SV58 @ SY510 ) )
| ~ ( coll @ SY512 @ SV15 @ SV58 ) )
| ~ ( ~ ( coll @ SY511 @ SY512 @ SY513 )
| ~ ( coll @ SY513 @ SY509 @ SY510 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(317,plain,
! [SV59: $i,SV16: $i] :
( ( ! [SY514: $i,SY515: $i,SY516: $i] :
~ ! [SY517: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SY514 )
| ~ ( perp @ SY514 @ SV16 @ SY514 @ SY515 ) )
| ~ ( midp @ SY516 @ SV59 @ SY515 ) )
| ( midp @ SY517 @ SV16 @ SY514 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[274]) ).
thf(318,plain,
! [SV60: $i,SV17: $i] :
( ( ! [SY518: $i,SY519: $i] :
( ~ ( perp @ SV17 @ SV60 @ SY518 @ SY519 )
| ( perp @ SV17 @ SV60 @ SY519 @ SY518 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(319,plain,
! [SV61: $i,SV18: $i] :
( ( ! [SY520: $i,SY521: $i,SY522: $i,SY523: $i] :
( ~ ( simtri @ SV18 @ SV61 @ SY520 @ SY521 @ SY522 @ SY523 )
| ( eqangle @ SV18 @ SV61 @ SV61 @ SY520 @ SY521 @ SY522 @ SY522 @ SY523 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[276]) ).
thf(320,plain,
! [SV62: $i,SV19: $i] :
( ( ! [SY524: $i,SY525: $i,SY526: $i] :
~ ! [SY527: $i] :
~ ( ~ ~ ( ~ ( perp @ SV19 @ SY524 @ SY524 @ SV62 )
| ~ ( coll @ SV62 @ SY525 @ SY526 ) )
| ~ ( ~ ( coll @ SY527 @ SY525 @ SY526 )
| ~ ( perp @ SY527 @ SV19 @ SY525 @ SY526 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(321,plain,
! [SV63: $i,SV20: $i] :
( ( ! [SY528: $i,SY529: $i,SY530: $i,SY531: $i] :
( ~ ~ ( ~ ( perp @ SV20 @ SV63 @ SY528 @ SY529 )
| ~ ( perp @ SY528 @ SY529 @ SY530 @ SY531 ) )
| ( para @ SV20 @ SV63 @ SY530 @ SY531 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(322,plain,
! [SV64: $i,SV21: $i] :
( ( ! [SY532: $i] :
( ~ ~ ( ~ ( eqangle @ SY532 @ SV21 @ SV21 @ SV64 @ SV21 @ SV64 @ SY532 @ SV64 )
| ~ ~ ( coll @ SY532 @ SV21 @ SV64 ) )
| ( cong @ SY532 @ SV21 @ SY532 @ SV64 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(323,plain,
! [SV65: $i,SV22: $i] :
( ( ! [SY533: $i,SY534: $i,SY535: $i,SY536: $i] :
( ~ ( para @ SV22 @ SV65 @ SY533 @ SY534 )
| ( eqangle @ SV22 @ SV65 @ SY535 @ SY536 @ SY533 @ SY534 @ SY535 @ SY536 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(324,plain,
! [SV66: $i,SV23: $i] :
( ( ! [SY537: $i,SY538: $i] :
( ~ ( cyclic @ SV23 @ SV66 @ SY537 @ SY538 )
| ( eqangle @ SY537 @ SV23 @ SY537 @ SV66 @ SY538 @ SV23 @ SY538 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(325,plain,
! [SV67: $i,SV24: $i] :
( ( ! [SY539: $i] :
( ~ ( coll @ SV24 @ SV67 @ SY539 )
| ( coll @ SV67 @ SV24 @ SY539 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[282]) ).
thf(326,plain,
! [SV68: $i,SV25: $i] :
( ( ! [SY540: $i,SY541: $i,SY542: $i,SY543: $i] :
( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SY540 @ SY541 @ SY542 @ SY542 @ SY543 )
| ~ ( eqangle @ SV25 @ SY540 @ SV68 @ SY540 @ SY541 @ SY543 @ SY542 @ SY543 ) )
| ~ ~ ( coll @ SV25 @ SV68 @ SY540 ) )
| ( simtri @ SV25 @ SV68 @ SY540 @ SY541 @ SY542 @ SY543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(327,plain,
! [SV69: $i,SV26: $i] :
( ( ! [SY544: $i,SY545: $i,SY546: $i,SY547: $i,SY548: $i,SY549: $i] :
( ~ ( eqangle @ SV26 @ SV69 @ SY544 @ SY545 @ SY546 @ SY547 @ SY548 @ SY549 )
| ( eqangle @ SY544 @ SY545 @ SV26 @ SV69 @ SY548 @ SY549 @ SY546 @ SY547 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[284]) ).
thf(328,plain,
! [SV70: $i,SV27: $i] :
( ( ! [SY550: $i,SY551: $i,SY552: $i,SY553: $i,SY554: $i,SY555: $i] :
( ~ ( eqangle @ SV27 @ SV70 @ SY550 @ SY551 @ SY552 @ SY553 @ SY554 @ SY555 )
| ( eqangle @ SV27 @ SV70 @ SY552 @ SY553 @ SY550 @ SY551 @ SY554 @ SY555 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(329,plain,
! [SV71: $i,SV28: $i] :
( ( ! [SY556: $i,SY557: $i] :
( ~ ~ ( ~ ( cong @ SV28 @ SY556 @ SV71 @ SY556 )
| ~ ( cong @ SV28 @ SY557 @ SV71 @ SY557 ) )
| ( perp @ SV28 @ SV71 @ SY556 @ SY557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(330,plain,
! [SV72: $i,SV29: $i] :
( ( ! [SY558: $i,SY559: $i] :
~ ! [SY560: $i] :
~ ( ~ ~ ( ~ ( perp @ SY558 @ SY559 @ SV29 @ SV72 )
| ~ ( eqangle @ SV29 @ SY558 @ SY558 @ SY559 @ SY558 @ SY559 @ SY558 @ SV72 ) )
| ~ ( ~ ( coll @ SV72 @ SV29 @ SY560 )
| ~ ( coll @ SY560 @ SY558 @ SY559 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(331,plain,
! [SV73: $i,SV30: $i] :
( ( ! [SY561: $i] :
( ~ ( coll @ SV30 @ SV73 @ SY561 )
| ( coll @ SV30 @ SY561 @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(332,plain,
! [SV74: $i,SV31: $i] :
( ( ! [SY562: $i] :
( ~ ( midp @ SV31 @ SV74 @ SY562 )
| ( coll @ SV31 @ SV74 @ SY562 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(333,plain,
! [SV75: $i,SV32: $i] :
( ( ! [SY563: $i,SY564: $i] :
~ ! [SY565: $i] :
~ ( ~ ( circle @ SY564 @ SV32 @ SV75 @ SY563 )
| ( perp @ SY565 @ SV32 @ SV32 @ SY564 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(334,plain,
! [SV76: $i,SV33: $i] :
( ( ! [SY566: $i,SY567: $i,SY568: $i,SY569: $i,SY570: $i,SY571: $i,SY572: $i,SY573: $i,SY574: $i,SY575: $i] :
( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SY566 @ SY567 @ SY568 @ SY569 @ SY570 @ SY571 )
| ~ ( eqangle @ SY568 @ SY569 @ SY570 @ SY571 @ SY572 @ SY573 @ SY574 @ SY575 ) )
| ( eqangle @ SV33 @ SV76 @ SY566 @ SY567 @ SY572 @ SY573 @ SY574 @ SY575 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[291]) ).
thf(335,plain,
! [SV34: $i,SV77: $i] :
( ( ! [SY576: $i,SY577: $i] :
~ ! [SY578: $i] :
~ ( ~ ~ ( ~ ( perp @ SY576 @ SV77 @ SV77 @ SV34 )
| ~ ( eqangle @ SY577 @ SY576 @ SV77 @ SY576 @ SV77 @ SY576 @ SV34 @ SY576 ) )
| ~ ( ~ ( coll @ SY578 @ SV34 @ SV77 )
| ~ ( coll @ SY578 @ SY576 @ SY577 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[292]) ).
thf(336,plain,
! [SV78: $i,SV35: $i] :
( ( ! [SY579: $i] :
( ~ ( para @ SV35 @ SV78 @ SV35 @ SY579 )
| ( coll @ SV35 @ SV78 @ SY579 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[293]) ).
thf(337,plain,
! [SV79: $i,SV36: $i] :
( ( ! [SY580: $i,SY581: $i] :
( ~ ~ ( ~ ( eqangle @ SY580 @ SV36 @ SY580 @ SV79 @ SY581 @ SV36 @ SY581 @ SV79 )
| ~ ~ ( coll @ SY580 @ SY581 @ SV36 ) )
| ( cyclic @ SV36 @ SV79 @ SY580 @ SY581 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[294]) ).
thf(338,plain,
! [SV80: $i,SV37: $i] :
( ( ! [SY582: $i,SY583: $i,SY584: $i] :
( ~ ~ ( ~ ( circle @ SY583 @ SV37 @ SV80 @ SY582 )
| ~ ( eqangle @ SV37 @ SY584 @ SV37 @ SV80 @ SY582 @ SV37 @ SY582 @ SV80 ) )
| ( perp @ SY583 @ SV37 @ SV37 @ SY584 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[295]) ).
thf(339,plain,
! [SV81: $i,SV38: $i] :
( ( ! [SY585: $i,SY586: $i] :
~ ! [SY587: $i] :
~ ( ~ ~ ( ~ ( perp @ SY585 @ SY586 @ SV38 @ SV81 )
| ~ ( cong @ SY585 @ SV38 @ SY585 @ SV81 ) )
| ~ ( ~ ( coll @ SV81 @ SV38 @ SY587 )
| ~ ( coll @ SY587 @ SY585 @ SY586 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[296]) ).
thf(340,plain,
! [SV82: $i,SV39: $i] :
( ( ! [SY588: $i,SY589: $i,SY590: $i,SY591: $i,SY592: $i,SY593: $i] :
( ~ ( eqangle @ SV39 @ SV82 @ SY588 @ SY589 @ SY590 @ SY591 @ SY592 @ SY593 )
| ( eqangle @ SV82 @ SV39 @ SY588 @ SY589 @ SY590 @ SY591 @ SY592 @ SY593 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(341,plain,
! [SV83: $i,SV40: $i] :
( ( ! [SY594: $i,SY595: $i,SY596: $i] :
( ~ ~ ( ~ ( circle @ SY595 @ SV40 @ SV83 @ SY594 )
| ~ ( perp @ SY595 @ SV40 @ SV40 @ SY596 ) )
| ( eqangle @ SV40 @ SY596 @ SV40 @ SV83 @ SY594 @ SV40 @ SY594 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(342,plain,
! [SV84: $i,SV41: $i] :
( ( ! [SY597: $i,SY598: $i] :
( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SY597 @ SY598 @ SY597 @ SY598 @ SV41 @ SV84 )
| ~ ~ ( perp @ SV41 @ SV84 @ SY597 @ SY598 ) )
| ( para @ SV41 @ SV84 @ SY597 @ SY598 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(343,plain,
! [SV85: $i,SV42: $i] :
( ( ! [SY599: $i,SY600: $i] :
( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SY599 @ SY600 @ SY599 @ SY600 @ SV42 @ SV85 )
| ~ ~ ( para @ SV42 @ SV85 @ SY599 @ SY600 ) )
| ( perp @ SV42 @ SV85 @ SY599 @ SY600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[300]) ).
thf(344,plain,
! [SV86: $i,SV43: $i] :
( ( ! [SY601: $i,SY602: $i] :
( ~ ~ ( ~ ( circle @ SY602 @ SV43 @ SV86 @ SY601 )
| ~ ( coll @ SY602 @ SV43 @ SY601 ) )
| ( perp @ SV43 @ SV86 @ SV86 @ SY601 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[301]) ).
thf(345,plain,
! [SV44: $i,SV1: $i,SV87: $i] :
( ( ! [SY603: $i] :
( ~ ~ ( ~ ( eqangle @ SV87 @ SV1 @ SV87 @ SV44 @ SY603 @ SV1 @ SY603 @ SV44 )
| ~ ( coll @ SV87 @ SY603 @ SV44 ) )
| ( cyclic @ SV1 @ SV44 @ SV87 @ SY603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[302]) ).
thf(346,plain,
! [SV88: $i,SV45: $i,SV2: $i] :
( ( ! [SY604: $i] :
~ ! [SY605: $i] :
~ ~ ! [SY606: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SY604 @ SV45 @ SV88 )
| ~ ( perp @ SV45 @ SY604 @ SV2 @ SV88 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY605 @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ SY605 @ SV88 @ SV45 ) )
| ~ ( coll @ SY606 @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ SY606 @ SV88 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(347,plain,
! [SV89: $i,SV46: $i,SV3: $i] :
( ( ! [SY607: $i] :
( ~ ~ ( ~ ( coll @ SV3 @ SV46 @ SV89 )
| ~ ( coll @ SV3 @ SV46 @ SY607 ) )
| ( coll @ SV89 @ SY607 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(348,plain,
! [SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY608: $i,SY609: $i,SY610: $i,SY611: $i,SY612: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV47 @ SV90 @ SY608 @ SY609 @ SY610 @ SY611 @ SY612 )
| ~ ( perp @ SY609 @ SY610 @ SY611 @ SY612 ) )
| ( perp @ SV4 @ SV47 @ SV90 @ SY608 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(349,plain,
! [SV91: $i,SV48: $i,SV5: $i] :
( ( ! [SY613: $i,SY614: $i,SY615: $i] :
( ~ ( eqangle @ SV5 @ SV48 @ SY614 @ SY615 @ SV91 @ SY613 @ SY614 @ SY615 )
| ( para @ SV5 @ SV48 @ SV91 @ SY613 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[306]) ).
thf(350,plain,
! [SV49: $i,SV6: $i,SV92: $i] :
( ( ~ ( cong @ SV92 @ SV6 @ SV92 @ SV49 )
| ( eqangle @ SV92 @ SV6 @ SV6 @ SV49 @ SV6 @ SV49 @ SV92 @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[307]) ).
thf(351,plain,
! [SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY616: $i,SY617: $i,SY618: $i,SY619: $i,SY620: $i] :
( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SY616 @ SY617 @ SY618 @ SY619 @ SY620 )
| ( eqangle @ SY617 @ SY618 @ SY619 @ SY620 @ SV7 @ SV50 @ SV93 @ SY616 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(352,plain,
! [SV51: $i,SV94: $i,SV8: $i] :
( ( ! [SY621: $i,SY622: $i] :
~ ! [SY623: $i] :
~ ( ~ ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SY621 @ SV51 @ SY622 )
| ~ ~ ( coll @ SV8 @ SV51 @ SV94 ) )
| ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SY623 @ SV51 @ SY623 )
| ~ ( cyclic @ SY621 @ SV51 @ SV94 @ SY623 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[309]) ).
thf(353,plain,
! [SV95: $i,SV52: $i,SV9: $i] :
( ( ! [SY624: $i] :
( ~ ( perp @ SV9 @ SV52 @ SV95 @ SY624 )
| ( perp @ SV95 @ SY624 @ SV9 @ SV52 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(354,plain,
! [SV53: $i,SV10: $i,SV96: $i] :
( ( ! [SY625: $i] :
~ ! [SY626: $i] :
~ ( ~ ~ ( ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
| ~ ( eqangle @ SV10 @ SV96 @ SV96 @ SY625 @ SV96 @ SY625 @ SV96 @ SV53 ) )
| ~ ( ~ ( coll @ SV53 @ SV10 @ SY626 )
| ~ ( coll @ SY626 @ SV96 @ SY625 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(355,plain,
! [SV54: $i,SV11: $i,SV97: $i] :
( ( ~ ! [SY627: $i] :
~ ( ~ ~ ( ~ ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
| ~ ( perp @ SV11 @ SV97 @ SV97 @ SV54 ) )
| ~ ( ~ ( coll @ SV11 @ SV97 @ SY627 )
| ~ ( cong @ SV97 @ SV11 @ SV97 @ SY627 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(356,plain,
! [SV98: $i,SV55: $i,SV12: $i] :
( ( ! [SY628: $i,SY629: $i,SY630: $i,SY631: $i] :
~ ! [SY632: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY629 @ SV12 @ SV55 )
| ~ ( midp @ SY630 @ SV98 @ SY628 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
| ~ ( coll @ SY628 @ SV12 @ SV55 ) )
| ( midp @ SY632 @ SV12 @ SY631 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(357,plain,
! [SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY633: $i,SY634: $i,SY635: $i] :
( ~ ~ ( ~ ( para @ SV13 @ SV56 @ SV99 @ SY633 )
| ~ ( perp @ SV99 @ SY633 @ SY634 @ SY635 ) )
| ( perp @ SV13 @ SV56 @ SY634 @ SY635 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(358,plain,
! [SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY636: $i,SY637: $i,SY638: $i,SY639: $i,SY640: $i] :
( ~ ~ ( ~ ( eqangle @ SV14 @ SV57 @ SV100 @ SY636 @ SY637 @ SY638 @ SY639 @ SY640 )
| ~ ( para @ SY637 @ SY638 @ SY639 @ SY640 ) )
| ( para @ SV14 @ SV57 @ SV100 @ SY636 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(359,plain,
! [SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY641: $i,SY642: $i,SY643: $i] :
~ ! [SY644: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SY641 )
| ~ ( coll @ SY642 @ SV15 @ SV101 ) )
| ~ ( coll @ SY642 @ SV58 @ SY641 ) )
| ~ ( coll @ SY643 @ SV15 @ SV58 ) )
| ~ ( ~ ( coll @ SY642 @ SY643 @ SY644 )
| ~ ( coll @ SY644 @ SV101 @ SY641 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(360,plain,
! [SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY645: $i,SY646: $i] :
~ ! [SY647: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SY645 ) )
| ~ ( midp @ SY646 @ SV59 @ SY645 ) )
| ( midp @ SY647 @ SV16 @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(361,plain,
! [SV103: $i,SV60: $i,SV17: $i] :
( ( ! [SY648: $i] :
( ~ ( perp @ SV17 @ SV60 @ SV103 @ SY648 )
| ( perp @ SV17 @ SV60 @ SY648 @ SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(362,plain,
! [SV104: $i,SV61: $i,SV18: $i] :
( ( ! [SY649: $i,SY650: $i,SY651: $i] :
( ~ ( simtri @ SV18 @ SV61 @ SV104 @ SY649 @ SY650 @ SY651 )
| ( eqangle @ SV18 @ SV61 @ SV61 @ SV104 @ SY649 @ SY650 @ SY650 @ SY651 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(363,plain,
! [SV62: $i,SV105: $i,SV19: $i] :
( ( ! [SY652: $i,SY653: $i] :
~ ! [SY654: $i] :
~ ( ~ ~ ( ~ ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
| ~ ( coll @ SV62 @ SY652 @ SY653 ) )
| ~ ( ~ ( coll @ SY654 @ SY652 @ SY653 )
| ~ ( perp @ SY654 @ SV19 @ SY652 @ SY653 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(364,plain,
! [SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY655: $i,SY656: $i,SY657: $i] :
( ~ ~ ( ~ ( perp @ SV20 @ SV63 @ SV106 @ SY655 )
| ~ ( perp @ SV106 @ SY655 @ SY656 @ SY657 ) )
| ( para @ SV20 @ SV63 @ SY656 @ SY657 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(365,plain,
! [SV64: $i,SV21: $i,SV107: $i] :
( ( ~ ~ ( ~ ( eqangle @ SV107 @ SV21 @ SV21 @ SV64 @ SV21 @ SV64 @ SV107 @ SV64 )
| ~ ~ ( coll @ SV107 @ SV21 @ SV64 ) )
| ( cong @ SV107 @ SV21 @ SV107 @ SV64 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(366,plain,
! [SV108: $i,SV65: $i,SV22: $i] :
( ( ! [SY658: $i,SY659: $i,SY660: $i] :
( ~ ( para @ SV22 @ SV65 @ SV108 @ SY658 )
| ( eqangle @ SV22 @ SV65 @ SY659 @ SY660 @ SV108 @ SY658 @ SY659 @ SY660 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(367,plain,
! [SV109: $i,SV66: $i,SV23: $i] :
( ( ! [SY661: $i] :
( ~ ( cyclic @ SV23 @ SV66 @ SV109 @ SY661 )
| ( eqangle @ SV109 @ SV23 @ SV109 @ SV66 @ SY661 @ SV23 @ SY661 @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(368,plain,
! [SV110: $i,SV67: $i,SV24: $i] :
( ( ~ ( coll @ SV24 @ SV67 @ SV110 )
| ( coll @ SV67 @ SV24 @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(369,plain,
! [SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY662: $i,SY663: $i,SY664: $i] :
( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SY662 @ SY663 @ SY663 @ SY664 )
| ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SY662 @ SY664 @ SY663 @ SY664 ) )
| ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) )
| ( simtri @ SV25 @ SV68 @ SV111 @ SY662 @ SY663 @ SY664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(370,plain,
! [SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY665: $i,SY666: $i,SY667: $i,SY668: $i,SY669: $i] :
( ~ ( eqangle @ SV26 @ SV69 @ SV112 @ SY665 @ SY666 @ SY667 @ SY668 @ SY669 )
| ( eqangle @ SV112 @ SY665 @ SV26 @ SV69 @ SY668 @ SY669 @ SY666 @ SY667 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(371,plain,
! [SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY670: $i,SY671: $i,SY672: $i,SY673: $i,SY674: $i] :
( ~ ( eqangle @ SV27 @ SV70 @ SV113 @ SY670 @ SY671 @ SY672 @ SY673 @ SY674 )
| ( eqangle @ SV27 @ SV70 @ SY671 @ SY672 @ SV113 @ SY670 @ SY673 @ SY674 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(372,plain,
! [SV71: $i,SV114: $i,SV28: $i] :
( ( ! [SY675: $i] :
( ~ ~ ( ~ ( cong @ SV28 @ SV114 @ SV71 @ SV114 )
| ~ ( cong @ SV28 @ SY675 @ SV71 @ SY675 ) )
| ( perp @ SV28 @ SV71 @ SV114 @ SY675 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(373,plain,
! [SV72: $i,SV29: $i,SV115: $i] :
( ( ! [SY676: $i] :
~ ! [SY677: $i] :
~ ( ~ ~ ( ~ ( perp @ SV115 @ SY676 @ SV29 @ SV72 )
| ~ ( eqangle @ SV29 @ SV115 @ SV115 @ SY676 @ SV115 @ SY676 @ SV115 @ SV72 ) )
| ~ ( ~ ( coll @ SV72 @ SV29 @ SY677 )
| ~ ( coll @ SY677 @ SV115 @ SY676 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(374,plain,
! [SV116: $i,SV73: $i,SV30: $i] :
( ( ~ ( coll @ SV30 @ SV73 @ SV116 )
| ( coll @ SV30 @ SV116 @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(375,plain,
! [SV117: $i,SV74: $i,SV31: $i] :
( ( ~ ( midp @ SV31 @ SV74 @ SV117 )
| ( coll @ SV31 @ SV74 @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(376,plain,
! [SV118: $i,SV75: $i,SV32: $i] :
( ( ! [SY678: $i] :
~ ! [SY679: $i] :
~ ( ~ ( circle @ SY678 @ SV32 @ SV75 @ SV118 )
| ( perp @ SY679 @ SV32 @ SV32 @ SY678 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(377,plain,
! [SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY680: $i,SY681: $i,SY682: $i,SY683: $i,SY684: $i,SY685: $i,SY686: $i,SY687: $i,SY688: $i] :
( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SY680 @ SY681 @ SY682 @ SY683 @ SY684 )
| ~ ( eqangle @ SY681 @ SY682 @ SY683 @ SY684 @ SY685 @ SY686 @ SY687 @ SY688 ) )
| ( eqangle @ SV33 @ SV76 @ SV119 @ SY680 @ SY685 @ SY686 @ SY687 @ SY688 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(378,plain,
! [SV34: $i,SV77: $i,SV120: $i] :
( ( ! [SY689: $i] :
~ ! [SY690: $i] :
~ ( ~ ~ ( ~ ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
| ~ ( eqangle @ SY689 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 ) )
| ~ ( ~ ( coll @ SY690 @ SV34 @ SV77 )
| ~ ( coll @ SY690 @ SV120 @ SY689 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(379,plain,
! [SV121: $i,SV78: $i,SV35: $i] :
( ( ~ ( para @ SV35 @ SV78 @ SV35 @ SV121 )
| ( coll @ SV35 @ SV78 @ SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(380,plain,
! [SV79: $i,SV36: $i,SV122: $i] :
( ( ! [SY691: $i] :
( ~ ~ ( ~ ( eqangle @ SV122 @ SV36 @ SV122 @ SV79 @ SY691 @ SV36 @ SY691 @ SV79 )
| ~ ~ ( coll @ SV122 @ SY691 @ SV36 ) )
| ( cyclic @ SV36 @ SV79 @ SV122 @ SY691 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(381,plain,
! [SV123: $i,SV80: $i,SV37: $i] :
( ( ! [SY692: $i,SY693: $i] :
( ~ ~ ( ~ ( circle @ SY692 @ SV37 @ SV80 @ SV123 )
| ~ ( eqangle @ SV37 @ SY693 @ SV37 @ SV80 @ SV123 @ SV37 @ SV123 @ SV80 ) )
| ( perp @ SY692 @ SV37 @ SV37 @ SY693 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(382,plain,
! [SV81: $i,SV38: $i,SV124: $i] :
( ( ! [SY694: $i] :
~ ! [SY695: $i] :
~ ( ~ ~ ( ~ ( perp @ SV124 @ SY694 @ SV38 @ SV81 )
| ~ ( cong @ SV124 @ SV38 @ SV124 @ SV81 ) )
| ~ ( ~ ( coll @ SV81 @ SV38 @ SY695 )
| ~ ( coll @ SY695 @ SV124 @ SY694 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(383,plain,
! [SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY696: $i,SY697: $i,SY698: $i,SY699: $i,SY700: $i] :
( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SY696 @ SY697 @ SY698 @ SY699 @ SY700 )
| ( eqangle @ SV82 @ SV39 @ SV125 @ SY696 @ SY697 @ SY698 @ SY699 @ SY700 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(384,plain,
! [SV126: $i,SV83: $i,SV40: $i] :
( ( ! [SY701: $i,SY702: $i] :
( ~ ~ ( ~ ( circle @ SY701 @ SV40 @ SV83 @ SV126 )
| ~ ( perp @ SY701 @ SV40 @ SV40 @ SY702 ) )
| ( eqangle @ SV40 @ SY702 @ SV40 @ SV83 @ SV126 @ SV40 @ SV126 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(385,plain,
! [SV127: $i,SV84: $i,SV41: $i] :
( ( ! [SY703: $i] :
( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SY703 @ SV127 @ SY703 @ SV41 @ SV84 )
| ~ ~ ( perp @ SV41 @ SV84 @ SV127 @ SY703 ) )
| ( para @ SV41 @ SV84 @ SV127 @ SY703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(386,plain,
! [SV128: $i,SV85: $i,SV42: $i] :
( ( ! [SY704: $i] :
( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SY704 @ SV128 @ SY704 @ SV42 @ SV85 )
| ~ ~ ( para @ SV42 @ SV85 @ SV128 @ SY704 ) )
| ( perp @ SV42 @ SV85 @ SV128 @ SY704 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(387,plain,
! [SV129: $i,SV86: $i,SV43: $i] :
( ( ! [SY705: $i] :
( ~ ~ ( ~ ( circle @ SY705 @ SV43 @ SV86 @ SV129 )
| ~ ( coll @ SY705 @ SV43 @ SV129 ) )
| ( perp @ SV43 @ SV86 @ SV86 @ SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(388,plain,
! [SV130: $i,SV44: $i,SV1: $i,SV87: $i] :
( ( ~ ~ ( ~ ( eqangle @ SV87 @ SV1 @ SV87 @ SV44 @ SV130 @ SV1 @ SV130 @ SV44 )
| ~ ( coll @ SV87 @ SV130 @ SV44 ) )
| ( cyclic @ SV1 @ SV44 @ SV87 @ SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(389,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ~ ! [SY706: $i] :
~ ~ ! [SY707: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
| ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY706 @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ SY706 @ SV88 @ SV45 ) )
| ~ ( coll @ SY707 @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ SY707 @ SV88 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(390,plain,
! [SV132: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ~ ~ ( ~ ( coll @ SV3 @ SV46 @ SV89 )
| ~ ( coll @ SV3 @ SV46 @ SV132 ) )
| ( coll @ SV89 @ SV132 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(391,plain,
! [SV133: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY708: $i,SY709: $i,SY710: $i,SY711: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV47 @ SV90 @ SV133 @ SY708 @ SY709 @ SY710 @ SY711 )
| ~ ( perp @ SY708 @ SY709 @ SY710 @ SY711 ) )
| ( perp @ SV4 @ SV47 @ SV90 @ SV133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(392,plain,
! [SV134: $i,SV91: $i,SV48: $i,SV5: $i] :
( ( ! [SY712: $i,SY713: $i] :
( ~ ( eqangle @ SV5 @ SV48 @ SY712 @ SY713 @ SV91 @ SV134 @ SY712 @ SY713 )
| ( para @ SV5 @ SV48 @ SV91 @ SV134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(393,plain,
! [SV49: $i,SV6: $i,SV92: $i] :
( ( ( ~ ( cong @ SV92 @ SV6 @ SV92 @ SV49 ) )
= $true )
| ( ( eqangle @ SV92 @ SV6 @ SV6 @ SV49 @ SV6 @ SV49 @ SV92 @ SV49 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[350]) ).
thf(394,plain,
! [SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY714: $i,SY715: $i,SY716: $i,SY717: $i] :
( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SY714 @ SY715 @ SY716 @ SY717 )
| ( eqangle @ SY714 @ SY715 @ SY716 @ SY717 @ SV7 @ SV50 @ SV93 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(395,plain,
! [SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ! [SY718: $i] :
~ ! [SY719: $i] :
~ ( ~ ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SY718 )
| ~ ~ ( coll @ SV8 @ SV51 @ SV94 ) )
| ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SY719 @ SV51 @ SY719 )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ SY719 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(396,plain,
! [SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ~ ( perp @ SV9 @ SV52 @ SV95 @ SV137 )
| ( perp @ SV95 @ SV137 @ SV9 @ SV52 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(397,plain,
! [SV138: $i,SV53: $i,SV10: $i,SV96: $i] :
( ( ~ ! [SY720: $i] :
~ ( ~ ~ ( ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
| ~ ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 ) )
| ~ ( ~ ( coll @ SV53 @ SV10 @ SY720 )
| ~ ( coll @ SY720 @ SV96 @ SV138 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(398,plain,
! [SV54: $i,SV11: $i,SV97: $i] :
( ( ! [SY627: $i] :
~ ( ~ ~ ( ~ ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
| ~ ( perp @ SV11 @ SV97 @ SV97 @ SV54 ) )
| ~ ( ~ ( coll @ SV11 @ SV97 @ SY627 )
| ~ ( cong @ SV97 @ SV11 @ SV97 @ SY627 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[355]) ).
thf(399,plain,
! [SV139: $i,SV98: $i,SV55: $i,SV12: $i] :
( ( ! [SY721: $i,SY722: $i,SY723: $i] :
~ ! [SY724: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY721 @ SV12 @ SV55 )
| ~ ( midp @ SY722 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
| ~ ( coll @ SV139 @ SV12 @ SV55 ) )
| ( midp @ SY724 @ SV12 @ SY723 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(400,plain,
! [SV140: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY725: $i,SY726: $i] :
( ~ ~ ( ~ ( para @ SV13 @ SV56 @ SV99 @ SV140 )
| ~ ( perp @ SV99 @ SV140 @ SY725 @ SY726 ) )
| ( perp @ SV13 @ SV56 @ SY725 @ SY726 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(401,plain,
! [SV141: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY727: $i,SY728: $i,SY729: $i,SY730: $i] :
( ~ ~ ( ~ ( eqangle @ SV14 @ SV57 @ SV100 @ SV141 @ SY727 @ SY728 @ SY729 @ SY730 )
| ~ ( para @ SY727 @ SY728 @ SY729 @ SY730 ) )
| ( para @ SV14 @ SV57 @ SV100 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(402,plain,
! [SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY731: $i,SY732: $i] :
~ ! [SY733: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SY731 @ SV15 @ SV101 ) )
| ~ ( coll @ SY731 @ SV58 @ SV142 ) )
| ~ ( coll @ SY732 @ SV15 @ SV58 ) )
| ~ ( ~ ( coll @ SY731 @ SY732 @ SY733 )
| ~ ( coll @ SY733 @ SV101 @ SV142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(403,plain,
! [SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY734: $i] :
~ ! [SY735: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) )
| ~ ( midp @ SY734 @ SV59 @ SV143 ) )
| ( midp @ SY735 @ SV16 @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(404,plain,
! [SV144: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ~ ( perp @ SV17 @ SV60 @ SV103 @ SV144 )
| ( perp @ SV17 @ SV60 @ SV144 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[361]) ).
thf(405,plain,
! [SV145: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ! [SY736: $i,SY737: $i] :
( ~ ( simtri @ SV18 @ SV61 @ SV104 @ SV145 @ SY736 @ SY737 )
| ( eqangle @ SV18 @ SV61 @ SV61 @ SV104 @ SV145 @ SY736 @ SY736 @ SY737 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(406,plain,
! [SV146: $i,SV62: $i,SV105: $i,SV19: $i] :
( ( ! [SY738: $i] :
~ ! [SY739: $i] :
~ ( ~ ~ ( ~ ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
| ~ ( coll @ SV62 @ SV146 @ SY738 ) )
| ~ ( ~ ( coll @ SY739 @ SV146 @ SY738 )
| ~ ( perp @ SY739 @ SV19 @ SV146 @ SY738 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[363]) ).
thf(407,plain,
! [SV147: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY740: $i,SY741: $i] :
( ~ ~ ( ~ ( perp @ SV20 @ SV63 @ SV106 @ SV147 )
| ~ ( perp @ SV106 @ SV147 @ SY740 @ SY741 ) )
| ( para @ SV20 @ SV63 @ SY740 @ SY741 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(408,plain,
! [SV64: $i,SV21: $i,SV107: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV107 @ SV21 @ SV21 @ SV64 @ SV21 @ SV64 @ SV107 @ SV64 )
| ~ ~ ( coll @ SV107 @ SV21 @ SV64 ) ) )
= $true )
| ( ( cong @ SV107 @ SV21 @ SV107 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[365]) ).
thf(409,plain,
! [SV148: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ! [SY742: $i,SY743: $i] :
( ~ ( para @ SV22 @ SV65 @ SV108 @ SV148 )
| ( eqangle @ SV22 @ SV65 @ SY742 @ SY743 @ SV108 @ SV148 @ SY742 @ SY743 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(410,plain,
! [SV149: $i,SV109: $i,SV66: $i,SV23: $i] :
( ( ~ ( cyclic @ SV23 @ SV66 @ SV109 @ SV149 )
| ( eqangle @ SV109 @ SV23 @ SV109 @ SV66 @ SV149 @ SV23 @ SV149 @ SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[367]) ).
thf(411,plain,
! [SV110: $i,SV67: $i,SV24: $i] :
( ( ( ~ ( coll @ SV24 @ SV67 @ SV110 ) )
= $true )
| ( ( coll @ SV67 @ SV24 @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[368]) ).
thf(412,plain,
! [SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY744: $i,SY745: $i] :
( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SY744 @ SY744 @ SY745 )
| ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SY745 @ SY744 @ SY745 ) )
| ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) )
| ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SY744 @ SY745 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(413,plain,
! [SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY746: $i,SY747: $i,SY748: $i,SY749: $i] :
( ~ ( eqangle @ SV26 @ SV69 @ SV112 @ SV151 @ SY746 @ SY747 @ SY748 @ SY749 )
| ( eqangle @ SV112 @ SV151 @ SV26 @ SV69 @ SY748 @ SY749 @ SY746 @ SY747 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(414,plain,
! [SV152: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY750: $i,SY751: $i,SY752: $i,SY753: $i] :
( ~ ( eqangle @ SV27 @ SV70 @ SV113 @ SV152 @ SY750 @ SY751 @ SY752 @ SY753 )
| ( eqangle @ SV27 @ SV70 @ SY750 @ SY751 @ SV113 @ SV152 @ SY752 @ SY753 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(415,plain,
! [SV153: $i,SV71: $i,SV114: $i,SV28: $i] :
( ( ~ ~ ( ~ ( cong @ SV28 @ SV114 @ SV71 @ SV114 )
| ~ ( cong @ SV28 @ SV153 @ SV71 @ SV153 ) )
| ( perp @ SV28 @ SV71 @ SV114 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(416,plain,
! [SV72: $i,SV29: $i,SV154: $i,SV115: $i] :
( ( ~ ! [SY754: $i] :
~ ( ~ ~ ( ~ ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
| ~ ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 ) )
| ~ ( ~ ( coll @ SV72 @ SV29 @ SY754 )
| ~ ( coll @ SY754 @ SV115 @ SV154 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[373]) ).
thf(417,plain,
! [SV116: $i,SV73: $i,SV30: $i] :
( ( ( ~ ( coll @ SV30 @ SV73 @ SV116 ) )
= $true )
| ( ( coll @ SV30 @ SV116 @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[374]) ).
thf(418,plain,
! [SV117: $i,SV74: $i,SV31: $i] :
( ( ( ~ ( midp @ SV31 @ SV74 @ SV117 ) )
= $true )
| ( ( coll @ SV31 @ SV74 @ SV117 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(419,plain,
! [SV118: $i,SV75: $i,SV32: $i,SV155: $i] :
( ( ~ ! [SY755: $i] :
~ ( ~ ( circle @ SV155 @ SV32 @ SV75 @ SV118 )
| ( perp @ SY755 @ SV32 @ SV32 @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(420,plain,
! [SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY756: $i,SY757: $i,SY758: $i,SY759: $i,SY760: $i,SY761: $i,SY762: $i,SY763: $i] :
( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SY756 @ SY757 @ SY758 @ SY759 )
| ~ ( eqangle @ SY756 @ SY757 @ SY758 @ SY759 @ SY760 @ SY761 @ SY762 @ SY763 ) )
| ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SY760 @ SY761 @ SY762 @ SY763 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(421,plain,
! [SV157: $i,SV34: $i,SV77: $i,SV120: $i] :
( ( ~ ! [SY764: $i] :
~ ( ~ ~ ( ~ ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
| ~ ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 ) )
| ~ ( ~ ( coll @ SY764 @ SV34 @ SV77 )
| ~ ( coll @ SY764 @ SV120 @ SV157 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(422,plain,
! [SV121: $i,SV78: $i,SV35: $i] :
( ( ( ~ ( para @ SV35 @ SV78 @ SV35 @ SV121 ) )
= $true )
| ( ( coll @ SV35 @ SV78 @ SV121 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(423,plain,
! [SV158: $i,SV79: $i,SV36: $i,SV122: $i] :
( ( ~ ~ ( ~ ( eqangle @ SV122 @ SV36 @ SV122 @ SV79 @ SV158 @ SV36 @ SV158 @ SV79 )
| ~ ~ ( coll @ SV122 @ SV158 @ SV36 ) )
| ( cyclic @ SV36 @ SV79 @ SV122 @ SV158 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(424,plain,
! [SV123: $i,SV80: $i,SV37: $i,SV159: $i] :
( ( ! [SY765: $i] :
( ~ ~ ( ~ ( circle @ SV159 @ SV37 @ SV80 @ SV123 )
| ~ ( eqangle @ SV37 @ SY765 @ SV37 @ SV80 @ SV123 @ SV37 @ SV123 @ SV80 ) )
| ( perp @ SV159 @ SV37 @ SV37 @ SY765 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[381]) ).
thf(425,plain,
! [SV81: $i,SV38: $i,SV160: $i,SV124: $i] :
( ( ~ ! [SY766: $i] :
~ ( ~ ~ ( ~ ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
| ~ ( cong @ SV124 @ SV38 @ SV124 @ SV81 ) )
| ~ ( ~ ( coll @ SV81 @ SV38 @ SY766 )
| ~ ( coll @ SY766 @ SV124 @ SV160 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(426,plain,
! [SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY767: $i,SY768: $i,SY769: $i,SY770: $i] :
( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SY767 @ SY768 @ SY769 @ SY770 )
| ( eqangle @ SV82 @ SV39 @ SV125 @ SV161 @ SY767 @ SY768 @ SY769 @ SY770 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(427,plain,
! [SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
( ( ! [SY771: $i] :
( ~ ~ ( ~ ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
| ~ ( perp @ SV162 @ SV40 @ SV40 @ SY771 ) )
| ( eqangle @ SV40 @ SY771 @ SV40 @ SV83 @ SV126 @ SV40 @ SV126 @ SV83 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[384]) ).
thf(428,plain,
! [SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV127 @ SV163 @ SV41 @ SV84 )
| ~ ~ ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) )
| ( para @ SV41 @ SV84 @ SV127 @ SV163 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(429,plain,
! [SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV128 @ SV164 @ SV42 @ SV85 )
| ~ ~ ( para @ SV42 @ SV85 @ SV128 @ SV164 ) )
| ( perp @ SV42 @ SV85 @ SV128 @ SV164 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(430,plain,
! [SV129: $i,SV86: $i,SV43: $i,SV165: $i] :
( ( ~ ~ ( ~ ( circle @ SV165 @ SV43 @ SV86 @ SV129 )
| ~ ( coll @ SV165 @ SV43 @ SV129 ) )
| ( perp @ SV43 @ SV86 @ SV86 @ SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(431,plain,
! [SV130: $i,SV44: $i,SV1: $i,SV87: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV87 @ SV1 @ SV87 @ SV44 @ SV130 @ SV1 @ SV130 @ SV44 )
| ~ ( coll @ SV87 @ SV130 @ SV44 ) ) )
= $true )
| ( ( cyclic @ SV1 @ SV44 @ SV87 @ SV130 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(432,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ! [SY706: $i] :
~ ~ ! [SY707: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
| ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY706 @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ SY706 @ SV88 @ SV45 ) )
| ~ ( coll @ SY707 @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ SY707 @ SV88 @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(433,plain,
! [SV132: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( coll @ SV3 @ SV46 @ SV89 )
| ~ ( coll @ SV3 @ SV46 @ SV132 ) ) )
= $true )
| ( ( coll @ SV89 @ SV132 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[390]) ).
thf(434,plain,
! [SV166: $i,SV133: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY772: $i,SY773: $i,SY774: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV47 @ SV90 @ SV133 @ SV166 @ SY772 @ SY773 @ SY774 )
| ~ ( perp @ SV166 @ SY772 @ SY773 @ SY774 ) )
| ( perp @ SV4 @ SV47 @ SV90 @ SV133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(435,plain,
! [SV134: $i,SV91: $i,SV167: $i,SV48: $i,SV5: $i] :
( ( ! [SY775: $i] :
( ~ ( eqangle @ SV5 @ SV48 @ SV167 @ SY775 @ SV91 @ SV134 @ SV167 @ SY775 )
| ( para @ SV5 @ SV48 @ SV91 @ SV134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(436,plain,
! [SV49: $i,SV6: $i,SV92: $i] :
( ( ( cong @ SV92 @ SV6 @ SV92 @ SV49 )
= $false )
| ( ( eqangle @ SV92 @ SV6 @ SV6 @ SV49 @ SV6 @ SV49 @ SV92 @ SV49 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(437,plain,
! [SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY776: $i,SY777: $i,SY778: $i] :
( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SY776 @ SY777 @ SY778 )
| ( eqangle @ SV168 @ SY776 @ SY777 @ SY778 @ SV7 @ SV50 @ SV93 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(438,plain,
! [SV169: $i,SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ~ ! [SY779: $i] :
~ ( ~ ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
| ~ ~ ( coll @ SV8 @ SV51 @ SV94 ) )
| ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SY779 @ SV51 @ SY779 )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ SY779 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(439,plain,
! [SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ( ~ ( perp @ SV9 @ SV52 @ SV95 @ SV137 ) )
= $true )
| ( ( perp @ SV95 @ SV137 @ SV9 @ SV52 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[396]) ).
thf(440,plain,
! [SV138: $i,SV53: $i,SV10: $i,SV96: $i] :
( ( ! [SY720: $i] :
~ ( ~ ~ ( ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
| ~ ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 ) )
| ~ ( ~ ( coll @ SV53 @ SV10 @ SY720 )
| ~ ( coll @ SY720 @ SV96 @ SV138 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(441,plain,
! [SV54: $i,SV11: $i,SV97: $i] :
( ( ~ ( ~ ~ ( ~ ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
| ~ ( perp @ SV11 @ SV97 @ SV97 @ SV54 ) )
| ~ ( ~ ( coll @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) )
| ~ ( cong @ SV97 @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[398]) ).
thf(442,plain,
! [SV139: $i,SV98: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ! [SY780: $i,SY781: $i] :
~ ! [SY782: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SY780 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
| ~ ( coll @ SV139 @ SV12 @ SV55 ) )
| ( midp @ SY782 @ SV12 @ SY781 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(443,plain,
! [SV171: $i,SV140: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ! [SY783: $i] :
( ~ ~ ( ~ ( para @ SV13 @ SV56 @ SV99 @ SV140 )
| ~ ( perp @ SV99 @ SV140 @ SV171 @ SY783 ) )
| ( perp @ SV13 @ SV56 @ SV171 @ SY783 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(444,plain,
! [SV172: $i,SV141: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY784: $i,SY785: $i,SY786: $i] :
( ~ ~ ( ~ ( eqangle @ SV14 @ SV57 @ SV100 @ SV141 @ SV172 @ SY784 @ SY785 @ SY786 )
| ~ ( para @ SV172 @ SY784 @ SY785 @ SY786 ) )
| ( para @ SV14 @ SV57 @ SV100 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(445,plain,
! [SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY787: $i] :
~ ! [SY788: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
| ~ ( coll @ SV173 @ SV58 @ SV142 ) )
| ~ ( coll @ SY787 @ SV15 @ SV58 ) )
| ~ ( ~ ( coll @ SV173 @ SY787 @ SY788 )
| ~ ( coll @ SY788 @ SV101 @ SV142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(446,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ~ ! [SY789: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) )
| ~ ( midp @ SV174 @ SV59 @ SV143 ) )
| ( midp @ SY789 @ SV16 @ SV102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(447,plain,
! [SV144: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ( ~ ( perp @ SV17 @ SV60 @ SV103 @ SV144 ) )
= $true )
| ( ( perp @ SV17 @ SV60 @ SV144 @ SV103 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[404]) ).
thf(448,plain,
! [SV175: $i,SV145: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ! [SY790: $i] :
( ~ ( simtri @ SV18 @ SV61 @ SV104 @ SV145 @ SV175 @ SY790 )
| ( eqangle @ SV18 @ SV61 @ SV61 @ SV104 @ SV145 @ SV175 @ SV175 @ SY790 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(449,plain,
! [SV176: $i,SV146: $i,SV62: $i,SV105: $i,SV19: $i] :
( ( ~ ! [SY791: $i] :
~ ( ~ ~ ( ~ ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
| ~ ( coll @ SV62 @ SV146 @ SV176 ) )
| ~ ( ~ ( coll @ SY791 @ SV146 @ SV176 )
| ~ ( perp @ SY791 @ SV19 @ SV146 @ SV176 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(450,plain,
! [SV177: $i,SV147: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ! [SY792: $i] :
( ~ ~ ( ~ ( perp @ SV20 @ SV63 @ SV106 @ SV147 )
| ~ ( perp @ SV106 @ SV147 @ SV177 @ SY792 ) )
| ( para @ SV20 @ SV63 @ SV177 @ SY792 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(451,plain,
! [SV64: $i,SV21: $i,SV107: $i] :
( ( ( ~ ( ~ ( eqangle @ SV107 @ SV21 @ SV21 @ SV64 @ SV21 @ SV64 @ SV107 @ SV64 )
| ~ ~ ( coll @ SV107 @ SV21 @ SV64 ) ) )
= $false )
| ( ( cong @ SV107 @ SV21 @ SV107 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(452,plain,
! [SV178: $i,SV148: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ! [SY793: $i] :
( ~ ( para @ SV22 @ SV65 @ SV108 @ SV148 )
| ( eqangle @ SV22 @ SV65 @ SV178 @ SY793 @ SV108 @ SV148 @ SV178 @ SY793 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(453,plain,
! [SV149: $i,SV109: $i,SV66: $i,SV23: $i] :
( ( ( ~ ( cyclic @ SV23 @ SV66 @ SV109 @ SV149 ) )
= $true )
| ( ( eqangle @ SV109 @ SV23 @ SV109 @ SV66 @ SV149 @ SV23 @ SV149 @ SV66 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[410]) ).
thf(454,plain,
! [SV110: $i,SV67: $i,SV24: $i] :
( ( ( coll @ SV24 @ SV67 @ SV110 )
= $false )
| ( ( coll @ SV67 @ SV24 @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(455,plain,
! [SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ! [SY794: $i] :
( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SY794 )
| ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SY794 @ SV179 @ SY794 ) )
| ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) )
| ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SY794 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(456,plain,
! [SV180: $i,SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY795: $i,SY796: $i,SY797: $i] :
( ~ ( eqangle @ SV26 @ SV69 @ SV112 @ SV151 @ SV180 @ SY795 @ SY796 @ SY797 )
| ( eqangle @ SV112 @ SV151 @ SV26 @ SV69 @ SY796 @ SY797 @ SV180 @ SY795 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(457,plain,
! [SV181: $i,SV152: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY798: $i,SY799: $i,SY800: $i] :
( ~ ( eqangle @ SV27 @ SV70 @ SV113 @ SV152 @ SV181 @ SY798 @ SY799 @ SY800 )
| ( eqangle @ SV27 @ SV70 @ SV181 @ SY798 @ SV113 @ SV152 @ SY799 @ SY800 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(458,plain,
! [SV153: $i,SV71: $i,SV114: $i,SV28: $i] :
( ( ( ~ ~ ( ~ ( cong @ SV28 @ SV114 @ SV71 @ SV114 )
| ~ ( cong @ SV28 @ SV153 @ SV71 @ SV153 ) ) )
= $true )
| ( ( perp @ SV28 @ SV71 @ SV114 @ SV153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(459,plain,
! [SV72: $i,SV29: $i,SV154: $i,SV115: $i] :
( ( ! [SY754: $i] :
~ ( ~ ~ ( ~ ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
| ~ ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 ) )
| ~ ( ~ ( coll @ SV72 @ SV29 @ SY754 )
| ~ ( coll @ SY754 @ SV115 @ SV154 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(460,plain,
! [SV116: $i,SV73: $i,SV30: $i] :
( ( ( coll @ SV30 @ SV73 @ SV116 )
= $false )
| ( ( coll @ SV30 @ SV116 @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(461,plain,
! [SV117: $i,SV74: $i,SV31: $i] :
( ( ( midp @ SV31 @ SV74 @ SV117 )
= $false )
| ( ( coll @ SV31 @ SV74 @ SV117 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(462,plain,
! [SV118: $i,SV75: $i,SV32: $i,SV155: $i] :
( ( ! [SY755: $i] :
~ ( ~ ( circle @ SV155 @ SV32 @ SV75 @ SV118 )
| ( perp @ SY755 @ SV32 @ SV32 @ SV155 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(463,plain,
! [SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY801: $i,SY802: $i,SY803: $i,SY804: $i,SY805: $i,SY806: $i,SY807: $i] :
( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SY801 @ SY802 @ SY803 )
| ~ ( eqangle @ SV182 @ SY801 @ SY802 @ SY803 @ SY804 @ SY805 @ SY806 @ SY807 ) )
| ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SY804 @ SY805 @ SY806 @ SY807 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(464,plain,
! [SV157: $i,SV34: $i,SV77: $i,SV120: $i] :
( ( ! [SY764: $i] :
~ ( ~ ~ ( ~ ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
| ~ ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 ) )
| ~ ( ~ ( coll @ SY764 @ SV34 @ SV77 )
| ~ ( coll @ SY764 @ SV120 @ SV157 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(465,plain,
! [SV121: $i,SV78: $i,SV35: $i] :
( ( ( para @ SV35 @ SV78 @ SV35 @ SV121 )
= $false )
| ( ( coll @ SV35 @ SV78 @ SV121 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[422]) ).
thf(466,plain,
! [SV158: $i,SV79: $i,SV36: $i,SV122: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV122 @ SV36 @ SV122 @ SV79 @ SV158 @ SV36 @ SV158 @ SV79 )
| ~ ~ ( coll @ SV122 @ SV158 @ SV36 ) ) )
= $true )
| ( ( cyclic @ SV36 @ SV79 @ SV122 @ SV158 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[423]) ).
thf(467,plain,
! [SV183: $i,SV123: $i,SV80: $i,SV37: $i,SV159: $i] :
( ( ~ ~ ( ~ ( circle @ SV159 @ SV37 @ SV80 @ SV123 )
| ~ ( eqangle @ SV37 @ SV183 @ SV37 @ SV80 @ SV123 @ SV37 @ SV123 @ SV80 ) )
| ( perp @ SV159 @ SV37 @ SV37 @ SV183 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(468,plain,
! [SV81: $i,SV38: $i,SV160: $i,SV124: $i] :
( ( ! [SY766: $i] :
~ ( ~ ~ ( ~ ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
| ~ ( cong @ SV124 @ SV38 @ SV124 @ SV81 ) )
| ~ ( ~ ( coll @ SV81 @ SV38 @ SY766 )
| ~ ( coll @ SY766 @ SV124 @ SV160 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(469,plain,
! [SV184: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY808: $i,SY809: $i,SY810: $i] :
( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV184 @ SY808 @ SY809 @ SY810 )
| ( eqangle @ SV82 @ SV39 @ SV125 @ SV161 @ SV184 @ SY808 @ SY809 @ SY810 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(470,plain,
! [SV185: $i,SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
( ( ~ ~ ( ~ ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
| ~ ( perp @ SV162 @ SV40 @ SV40 @ SV185 ) )
| ( eqangle @ SV40 @ SV185 @ SV40 @ SV83 @ SV126 @ SV40 @ SV126 @ SV83 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(471,plain,
! [SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV127 @ SV163 @ SV41 @ SV84 )
| ~ ~ ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) ) )
= $true )
| ( ( para @ SV41 @ SV84 @ SV127 @ SV163 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(472,plain,
! [SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV128 @ SV164 @ SV42 @ SV85 )
| ~ ~ ( para @ SV42 @ SV85 @ SV128 @ SV164 ) ) )
= $true )
| ( ( perp @ SV42 @ SV85 @ SV128 @ SV164 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[429]) ).
thf(473,plain,
! [SV129: $i,SV86: $i,SV43: $i,SV165: $i] :
( ( ( ~ ~ ( ~ ( circle @ SV165 @ SV43 @ SV86 @ SV129 )
| ~ ( coll @ SV165 @ SV43 @ SV129 ) ) )
= $true )
| ( ( perp @ SV43 @ SV86 @ SV86 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[430]) ).
thf(474,plain,
! [SV130: $i,SV44: $i,SV1: $i,SV87: $i] :
( ( ( ~ ( ~ ( eqangle @ SV87 @ SV1 @ SV87 @ SV44 @ SV130 @ SV1 @ SV130 @ SV44 )
| ~ ( coll @ SV87 @ SV130 @ SV44 ) ) )
= $false )
| ( ( cyclic @ SV1 @ SV44 @ SV87 @ SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[431]) ).
thf(475,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ~ ~ ! [SY811: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
| ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ SY811 @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ SY811 @ SV88 @ SV2 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[432]) ).
thf(476,plain,
! [SV132: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ( ~ ( ~ ( coll @ SV3 @ SV46 @ SV89 )
| ~ ( coll @ SV3 @ SV46 @ SV132 ) ) )
= $false )
| ( ( coll @ SV89 @ SV132 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[433]) ).
thf(477,plain,
! [SV186: $i,SV166: $i,SV133: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY812: $i,SY813: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV47 @ SV90 @ SV133 @ SV166 @ SV186 @ SY812 @ SY813 )
| ~ ( perp @ SV166 @ SV186 @ SY812 @ SY813 ) )
| ( perp @ SV4 @ SV47 @ SV90 @ SV133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(478,plain,
! [SV134: $i,SV91: $i,SV187: $i,SV167: $i,SV48: $i,SV5: $i] :
( ( ~ ( eqangle @ SV5 @ SV48 @ SV167 @ SV187 @ SV91 @ SV134 @ SV167 @ SV187 )
| ( para @ SV5 @ SV48 @ SV91 @ SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(479,plain,
! [SV188: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY814: $i,SY815: $i] :
( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV188 @ SY814 @ SY815 )
| ( eqangle @ SV168 @ SV188 @ SY814 @ SY815 @ SV7 @ SV50 @ SV93 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(480,plain,
! [SV169: $i,SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ! [SY779: $i] :
~ ( ~ ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
| ~ ~ ( coll @ SV8 @ SV51 @ SV94 ) )
| ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SY779 @ SV51 @ SY779 )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ SY779 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[438]) ).
thf(481,plain,
! [SV137: $i,SV95: $i,SV52: $i,SV9: $i] :
( ( ( perp @ SV9 @ SV52 @ SV95 @ SV137 )
= $false )
| ( ( perp @ SV95 @ SV137 @ SV9 @ SV52 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(482,plain,
! [SV138: $i,SV53: $i,SV10: $i,SV96: $i] :
( ( ~ ( ~ ~ ( ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
| ~ ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 ) )
| ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) )
| ~ ( coll @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) @ SV96 @ SV138 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[440]) ).
thf(483,plain,
! [SV54: $i,SV11: $i,SV97: $i] :
( ( ~ ~ ( ~ ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
| ~ ( perp @ SV11 @ SV97 @ SV97 @ SV54 ) )
| ~ ( ~ ( coll @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) )
| ~ ( cong @ SV97 @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[441]) ).
thf(484,plain,
! [SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ! [SY816: $i] :
~ ! [SY817: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
| ~ ( coll @ SV139 @ SV12 @ SV55 ) )
| ( midp @ SY817 @ SV12 @ SY816 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(485,plain,
! [SV190: $i,SV171: $i,SV140: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ~ ~ ( ~ ( para @ SV13 @ SV56 @ SV99 @ SV140 )
| ~ ( perp @ SV99 @ SV140 @ SV171 @ SV190 ) )
| ( perp @ SV13 @ SV56 @ SV171 @ SV190 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(486,plain,
! [SV191: $i,SV172: $i,SV141: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY818: $i,SY819: $i] :
( ~ ~ ( ~ ( eqangle @ SV14 @ SV57 @ SV100 @ SV141 @ SV172 @ SV191 @ SY818 @ SY819 )
| ~ ( para @ SV172 @ SV191 @ SY818 @ SY819 ) )
| ( para @ SV14 @ SV57 @ SV100 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(487,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ~ ! [SY820: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
| ~ ( coll @ SV173 @ SV58 @ SV142 ) )
| ~ ( coll @ SV192 @ SV15 @ SV58 ) )
| ~ ( ~ ( coll @ SV173 @ SV192 @ SY820 )
| ~ ( coll @ SY820 @ SV101 @ SV142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(488,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ! [SY789: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) )
| ~ ( midp @ SV174 @ SV59 @ SV143 ) )
| ( midp @ SY789 @ SV16 @ SV102 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[446]) ).
thf(489,plain,
! [SV144: $i,SV103: $i,SV60: $i,SV17: $i] :
( ( ( perp @ SV17 @ SV60 @ SV103 @ SV144 )
= $false )
| ( ( perp @ SV17 @ SV60 @ SV144 @ SV103 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(490,plain,
! [SV193: $i,SV175: $i,SV145: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ~ ( simtri @ SV18 @ SV61 @ SV104 @ SV145 @ SV175 @ SV193 )
| ( eqangle @ SV18 @ SV61 @ SV61 @ SV104 @ SV145 @ SV175 @ SV175 @ SV193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(491,plain,
! [SV176: $i,SV146: $i,SV62: $i,SV105: $i,SV19: $i] :
( ( ! [SY791: $i] :
~ ( ~ ~ ( ~ ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
| ~ ( coll @ SV62 @ SV146 @ SV176 ) )
| ~ ( ~ ( coll @ SY791 @ SV146 @ SV176 )
| ~ ( perp @ SY791 @ SV19 @ SV146 @ SV176 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[449]) ).
thf(492,plain,
! [SV194: $i,SV177: $i,SV147: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ~ ~ ( ~ ( perp @ SV20 @ SV63 @ SV106 @ SV147 )
| ~ ( perp @ SV106 @ SV147 @ SV177 @ SV194 ) )
| ( para @ SV20 @ SV63 @ SV177 @ SV194 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(493,plain,
! [SV64: $i,SV21: $i,SV107: $i] :
( ( ( ~ ( eqangle @ SV107 @ SV21 @ SV21 @ SV64 @ SV21 @ SV64 @ SV107 @ SV64 )
| ~ ~ ( coll @ SV107 @ SV21 @ SV64 ) )
= $true )
| ( ( cong @ SV107 @ SV21 @ SV107 @ SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[451]) ).
thf(494,plain,
! [SV195: $i,SV178: $i,SV148: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ~ ( para @ SV22 @ SV65 @ SV108 @ SV148 )
| ( eqangle @ SV22 @ SV65 @ SV178 @ SV195 @ SV108 @ SV148 @ SV178 @ SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(495,plain,
! [SV149: $i,SV109: $i,SV66: $i,SV23: $i] :
( ( ( cyclic @ SV23 @ SV66 @ SV109 @ SV149 )
= $false )
| ( ( eqangle @ SV109 @ SV23 @ SV109 @ SV66 @ SV149 @ SV23 @ SV149 @ SV66 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(496,plain,
! [SV196: $i,SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 )
| ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 ) )
| ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) )
| ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(497,plain,
! [SV197: $i,SV180: $i,SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY821: $i,SY822: $i] :
( ~ ( eqangle @ SV26 @ SV69 @ SV112 @ SV151 @ SV180 @ SV197 @ SY821 @ SY822 )
| ( eqangle @ SV112 @ SV151 @ SV26 @ SV69 @ SY821 @ SY822 @ SV180 @ SV197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(498,plain,
! [SV198: $i,SV181: $i,SV152: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY823: $i,SY824: $i] :
( ~ ( eqangle @ SV27 @ SV70 @ SV113 @ SV152 @ SV181 @ SV198 @ SY823 @ SY824 )
| ( eqangle @ SV27 @ SV70 @ SV181 @ SV198 @ SV113 @ SV152 @ SY823 @ SY824 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(499,plain,
! [SV153: $i,SV71: $i,SV114: $i,SV28: $i] :
( ( ( ~ ( ~ ( cong @ SV28 @ SV114 @ SV71 @ SV114 )
| ~ ( cong @ SV28 @ SV153 @ SV71 @ SV153 ) ) )
= $false )
| ( ( perp @ SV28 @ SV71 @ SV114 @ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[458]) ).
thf(500,plain,
! [SV72: $i,SV29: $i,SV154: $i,SV115: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
| ~ ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 ) )
| ~ ( ~ ( coll @ SV72 @ SV29 @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) )
| ~ ( coll @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) @ SV115 @ SV154 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[459]) ).
thf(501,plain,
! [SV118: $i,SV75: $i,SV32: $i,SV155: $i] :
( ( ~ ( ~ ( circle @ SV155 @ SV32 @ SV75 @ SV118 )
| ( perp @ ( sK13_SY755 @ SV118 @ SV75 @ SV32 @ SV155 ) @ SV32 @ SV32 @ SV155 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[462]) ).
thf(502,plain,
! [SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY825: $i,SY826: $i,SY827: $i,SY828: $i,SY829: $i,SY830: $i] :
( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SY825 @ SY826 )
| ~ ( eqangle @ SV182 @ SV199 @ SY825 @ SY826 @ SY827 @ SY828 @ SY829 @ SY830 ) )
| ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SY827 @ SY828 @ SY829 @ SY830 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(503,plain,
! [SV157: $i,SV34: $i,SV77: $i,SV120: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
| ~ ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 ) )
| ~ ( ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV34 @ SV77 )
| ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV120 @ SV157 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[464]) ).
thf(504,plain,
! [SV158: $i,SV79: $i,SV36: $i,SV122: $i] :
( ( ( ~ ( ~ ( eqangle @ SV122 @ SV36 @ SV122 @ SV79 @ SV158 @ SV36 @ SV158 @ SV79 )
| ~ ~ ( coll @ SV122 @ SV158 @ SV36 ) ) )
= $false )
| ( ( cyclic @ SV36 @ SV79 @ SV122 @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(505,plain,
! [SV183: $i,SV123: $i,SV80: $i,SV37: $i,SV159: $i] :
( ( ( ~ ~ ( ~ ( circle @ SV159 @ SV37 @ SV80 @ SV123 )
| ~ ( eqangle @ SV37 @ SV183 @ SV37 @ SV80 @ SV123 @ SV37 @ SV123 @ SV80 ) ) )
= $true )
| ( ( perp @ SV159 @ SV37 @ SV37 @ SV183 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[467]) ).
thf(506,plain,
! [SV81: $i,SV38: $i,SV160: $i,SV124: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
| ~ ( cong @ SV124 @ SV38 @ SV124 @ SV81 ) )
| ~ ( ~ ( coll @ SV81 @ SV38 @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) )
| ~ ( coll @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) @ SV124 @ SV160 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[468]) ).
thf(507,plain,
! [SV200: $i,SV184: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY831: $i,SY832: $i] :
( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV184 @ SV200 @ SY831 @ SY832 )
| ( eqangle @ SV82 @ SV39 @ SV125 @ SV161 @ SV184 @ SV200 @ SY831 @ SY832 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(508,plain,
! [SV185: $i,SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
( ( ( ~ ~ ( ~ ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
| ~ ( perp @ SV162 @ SV40 @ SV40 @ SV185 ) ) )
= $true )
| ( ( eqangle @ SV40 @ SV185 @ SV40 @ SV83 @ SV126 @ SV40 @ SV126 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[470]) ).
thf(509,plain,
! [SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ( ~ ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV127 @ SV163 @ SV41 @ SV84 )
| ~ ~ ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) ) )
= $false )
| ( ( para @ SV41 @ SV84 @ SV127 @ SV163 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(510,plain,
! [SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ( ~ ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV128 @ SV164 @ SV42 @ SV85 )
| ~ ~ ( para @ SV42 @ SV85 @ SV128 @ SV164 ) ) )
= $false )
| ( ( perp @ SV42 @ SV85 @ SV128 @ SV164 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(511,plain,
! [SV129: $i,SV86: $i,SV43: $i,SV165: $i] :
( ( ( ~ ( ~ ( circle @ SV165 @ SV43 @ SV86 @ SV129 )
| ~ ( coll @ SV165 @ SV43 @ SV129 ) ) )
= $false )
| ( ( perp @ SV43 @ SV86 @ SV86 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(512,plain,
! [SV130: $i,SV44: $i,SV1: $i,SV87: $i] :
( ( ( ~ ( eqangle @ SV87 @ SV1 @ SV87 @ SV44 @ SV130 @ SV1 @ SV130 @ SV44 )
| ~ ( coll @ SV87 @ SV130 @ SV44 ) )
= $true )
| ( ( cyclic @ SV1 @ SV44 @ SV87 @ SV130 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(513,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ~ ! [SY811: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
| ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ SY811 @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ SY811 @ SV88 @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(514,plain,
! [SV132: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ( ~ ( coll @ SV3 @ SV46 @ SV89 )
| ~ ( coll @ SV3 @ SV46 @ SV132 ) )
= $true )
| ( ( coll @ SV89 @ SV132 @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(515,plain,
! [SV201: $i,SV186: $i,SV166: $i,SV133: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ! [SY833: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV47 @ SV90 @ SV133 @ SV166 @ SV186 @ SV201 @ SY833 )
| ~ ( perp @ SV166 @ SV186 @ SV201 @ SY833 ) )
| ( perp @ SV4 @ SV47 @ SV90 @ SV133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(516,plain,
! [SV134: $i,SV91: $i,SV187: $i,SV167: $i,SV48: $i,SV5: $i] :
( ( ( ~ ( eqangle @ SV5 @ SV48 @ SV167 @ SV187 @ SV91 @ SV134 @ SV167 @ SV187 ) )
= $true )
| ( ( para @ SV5 @ SV48 @ SV91 @ SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(517,plain,
! [SV202: $i,SV188: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ! [SY834: $i] :
( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV188 @ SV202 @ SY834 )
| ( eqangle @ SV168 @ SV188 @ SV202 @ SY834 @ SV7 @ SV50 @ SV93 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(518,plain,
! [SV169: $i,SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ~ ( ~ ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
| ~ ~ ( coll @ SV8 @ SV51 @ SV94 ) )
| ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[480]) ).
thf(519,plain,
! [SV138: $i,SV53: $i,SV10: $i,SV96: $i] :
( ( ~ ~ ( ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
| ~ ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 ) )
| ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) )
| ~ ( coll @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) @ SV96 @ SV138 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[482]) ).
thf(520,plain,
! [SV54: $i,SV11: $i,SV97: $i] :
( ( ( ~ ~ ( ~ ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
| ~ ( perp @ SV11 @ SV97 @ SV97 @ SV54 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) )
| ~ ( cong @ SV97 @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(521,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ~ ! [SY835: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
| ~ ( coll @ SV139 @ SV12 @ SV55 ) )
| ( midp @ SY835 @ SV12 @ SV203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(522,plain,
! [SV190: $i,SV171: $i,SV140: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( para @ SV13 @ SV56 @ SV99 @ SV140 )
| ~ ( perp @ SV99 @ SV140 @ SV171 @ SV190 ) ) )
= $true )
| ( ( perp @ SV13 @ SV56 @ SV171 @ SV190 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(523,plain,
! [SV204: $i,SV191: $i,SV172: $i,SV141: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ! [SY836: $i] :
( ~ ~ ( ~ ( eqangle @ SV14 @ SV57 @ SV100 @ SV141 @ SV172 @ SV191 @ SV204 @ SY836 )
| ~ ( para @ SV172 @ SV191 @ SV204 @ SY836 ) )
| ( para @ SV14 @ SV57 @ SV100 @ SV141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(524,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ! [SY820: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
| ~ ( coll @ SV173 @ SV58 @ SV142 ) )
| ~ ( coll @ SV192 @ SV15 @ SV58 ) )
| ~ ( ~ ( coll @ SV173 @ SV192 @ SY820 )
| ~ ( coll @ SY820 @ SV101 @ SV142 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(525,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) )
| ~ ( midp @ SV174 @ SV59 @ SV143 ) )
| ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[488]) ).
thf(526,plain,
! [SV193: $i,SV175: $i,SV145: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ( ~ ( simtri @ SV18 @ SV61 @ SV104 @ SV145 @ SV175 @ SV193 ) )
= $true )
| ( ( eqangle @ SV18 @ SV61 @ SV61 @ SV104 @ SV145 @ SV175 @ SV175 @ SV193 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[490]) ).
thf(527,plain,
! [SV176: $i,SV146: $i,SV62: $i,SV105: $i,SV19: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
| ~ ( coll @ SV62 @ SV146 @ SV176 ) )
| ~ ( ~ ( coll @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV146 @ SV176 )
| ~ ( perp @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV19 @ SV146 @ SV176 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[491]) ).
thf(528,plain,
! [SV194: $i,SV177: $i,SV147: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV20 @ SV63 @ SV106 @ SV147 )
| ~ ( perp @ SV106 @ SV147 @ SV177 @ SV194 ) ) )
= $true )
| ( ( para @ SV20 @ SV63 @ SV177 @ SV194 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(529,plain,
! [SV64: $i,SV21: $i,SV107: $i] :
( ( ( ~ ( eqangle @ SV107 @ SV21 @ SV21 @ SV64 @ SV21 @ SV64 @ SV107 @ SV64 ) )
= $true )
| ( ( ~ ~ ( coll @ SV107 @ SV21 @ SV64 ) )
= $true )
| ( ( cong @ SV107 @ SV21 @ SV107 @ SV64 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[493]) ).
thf(530,plain,
! [SV195: $i,SV178: $i,SV148: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ( ~ ( para @ SV22 @ SV65 @ SV108 @ SV148 ) )
= $true )
| ( ( eqangle @ SV22 @ SV65 @ SV178 @ SV195 @ SV108 @ SV148 @ SV178 @ SV195 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(531,plain,
! [SV196: $i,SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 )
| ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 ) )
| ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) ) )
= $true )
| ( ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(532,plain,
! [SV205: $i,SV197: $i,SV180: $i,SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ! [SY837: $i] :
( ~ ( eqangle @ SV26 @ SV69 @ SV112 @ SV151 @ SV180 @ SV197 @ SV205 @ SY837 )
| ( eqangle @ SV112 @ SV151 @ SV26 @ SV69 @ SV205 @ SY837 @ SV180 @ SV197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(533,plain,
! [SV206: $i,SV198: $i,SV181: $i,SV152: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ! [SY838: $i] :
( ~ ( eqangle @ SV27 @ SV70 @ SV113 @ SV152 @ SV181 @ SV198 @ SV206 @ SY838 )
| ( eqangle @ SV27 @ SV70 @ SV181 @ SV198 @ SV113 @ SV152 @ SV206 @ SY838 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(534,plain,
! [SV153: $i,SV71: $i,SV114: $i,SV28: $i] :
( ( ( ~ ( cong @ SV28 @ SV114 @ SV71 @ SV114 )
| ~ ( cong @ SV28 @ SV153 @ SV71 @ SV153 ) )
= $true )
| ( ( perp @ SV28 @ SV71 @ SV114 @ SV153 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(535,plain,
! [SV72: $i,SV29: $i,SV154: $i,SV115: $i] :
( ( ~ ~ ( ~ ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
| ~ ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 ) )
| ~ ( ~ ( coll @ SV72 @ SV29 @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) )
| ~ ( coll @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) @ SV115 @ SV154 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[500]) ).
thf(536,plain,
! [SV118: $i,SV75: $i,SV32: $i,SV155: $i] :
( ( ~ ( circle @ SV155 @ SV32 @ SV75 @ SV118 )
| ( perp @ ( sK13_SY755 @ SV118 @ SV75 @ SV32 @ SV155 ) @ SV32 @ SV32 @ SV155 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[501]) ).
thf(537,plain,
! [SV207: $i,SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY839: $i,SY840: $i,SY841: $i,SY842: $i,SY843: $i] :
( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SY839 )
| ~ ( eqangle @ SV182 @ SV199 @ SV207 @ SY839 @ SY840 @ SY841 @ SY842 @ SY843 ) )
| ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SY840 @ SY841 @ SY842 @ SY843 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(538,plain,
! [SV157: $i,SV34: $i,SV77: $i,SV120: $i] :
( ( ~ ~ ( ~ ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
| ~ ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 ) )
| ~ ( ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV34 @ SV77 )
| ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV120 @ SV157 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(539,plain,
! [SV158: $i,SV79: $i,SV36: $i,SV122: $i] :
( ( ( ~ ( eqangle @ SV122 @ SV36 @ SV122 @ SV79 @ SV158 @ SV36 @ SV158 @ SV79 )
| ~ ~ ( coll @ SV122 @ SV158 @ SV36 ) )
= $true )
| ( ( cyclic @ SV36 @ SV79 @ SV122 @ SV158 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[504]) ).
thf(540,plain,
! [SV183: $i,SV123: $i,SV80: $i,SV37: $i,SV159: $i] :
( ( ( ~ ( ~ ( circle @ SV159 @ SV37 @ SV80 @ SV123 )
| ~ ( eqangle @ SV37 @ SV183 @ SV37 @ SV80 @ SV123 @ SV37 @ SV123 @ SV80 ) ) )
= $false )
| ( ( perp @ SV159 @ SV37 @ SV37 @ SV183 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(541,plain,
! [SV81: $i,SV38: $i,SV160: $i,SV124: $i] :
( ( ~ ~ ( ~ ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
| ~ ( cong @ SV124 @ SV38 @ SV124 @ SV81 ) )
| ~ ( ~ ( coll @ SV81 @ SV38 @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) )
| ~ ( coll @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) @ SV124 @ SV160 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[506]) ).
thf(542,plain,
! [SV208: $i,SV200: $i,SV184: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ! [SY844: $i] :
( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV184 @ SV200 @ SV208 @ SY844 )
| ( eqangle @ SV82 @ SV39 @ SV125 @ SV161 @ SV184 @ SV200 @ SV208 @ SY844 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[507]) ).
thf(543,plain,
! [SV185: $i,SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
( ( ( ~ ( ~ ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
| ~ ( perp @ SV162 @ SV40 @ SV40 @ SV185 ) ) )
= $false )
| ( ( eqangle @ SV40 @ SV185 @ SV40 @ SV83 @ SV126 @ SV40 @ SV126 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[508]) ).
thf(544,plain,
! [SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV127 @ SV163 @ SV41 @ SV84 )
| ~ ~ ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) )
= $true )
| ( ( para @ SV41 @ SV84 @ SV127 @ SV163 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(545,plain,
! [SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV128 @ SV164 @ SV42 @ SV85 )
| ~ ~ ( para @ SV42 @ SV85 @ SV128 @ SV164 ) )
= $true )
| ( ( perp @ SV42 @ SV85 @ SV128 @ SV164 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[510]) ).
thf(546,plain,
! [SV129: $i,SV86: $i,SV43: $i,SV165: $i] :
( ( ( ~ ( circle @ SV165 @ SV43 @ SV86 @ SV129 )
| ~ ( coll @ SV165 @ SV43 @ SV129 ) )
= $true )
| ( ( perp @ SV43 @ SV86 @ SV86 @ SV129 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[511]) ).
thf(547,plain,
! [SV130: $i,SV44: $i,SV1: $i,SV87: $i] :
( ( ( ~ ( eqangle @ SV87 @ SV1 @ SV87 @ SV44 @ SV130 @ SV1 @ SV130 @ SV44 ) )
= $true )
| ( ( ~ ( coll @ SV87 @ SV130 @ SV44 ) )
= $true )
| ( ( cyclic @ SV1 @ SV44 @ SV87 @ SV130 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(548,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ! [SY811: $i] :
~ ( ~ ~ ( ~ ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
| ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ SY811 @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ SY811 @ SV88 @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(549,plain,
! [SV132: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ( ~ ( coll @ SV3 @ SV46 @ SV89 ) )
= $true )
| ( ( ~ ( coll @ SV3 @ SV46 @ SV132 ) )
= $true )
| ( ( coll @ SV89 @ SV132 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(550,plain,
! [SV209: $i,SV201: $i,SV186: $i,SV166: $i,SV133: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ~ ~ ( ~ ( eqangle @ SV4 @ SV47 @ SV90 @ SV133 @ SV166 @ SV186 @ SV201 @ SV209 )
| ~ ( perp @ SV166 @ SV186 @ SV201 @ SV209 ) )
| ( perp @ SV4 @ SV47 @ SV90 @ SV133 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(551,plain,
! [SV134: $i,SV91: $i,SV187: $i,SV167: $i,SV48: $i,SV5: $i] :
( ( ( eqangle @ SV5 @ SV48 @ SV167 @ SV187 @ SV91 @ SV134 @ SV167 @ SV187 )
= $false )
| ( ( para @ SV5 @ SV48 @ SV91 @ SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[516]) ).
thf(552,plain,
! [SV210: $i,SV202: $i,SV188: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV188 @ SV202 @ SV210 )
| ( eqangle @ SV168 @ SV188 @ SV202 @ SV210 @ SV7 @ SV50 @ SV93 @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(553,plain,
! [SV169: $i,SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ~ ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
| ~ ~ ( coll @ SV8 @ SV51 @ SV94 ) )
| ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(554,plain,
! [SV138: $i,SV53: $i,SV10: $i,SV96: $i] :
( ( ( ~ ~ ( ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
| ~ ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) )
| ~ ( coll @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) @ SV96 @ SV138 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(555,plain,
! [SV54: $i,SV11: $i,SV97: $i] :
( ( ( ~ ( ~ ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
| ~ ( perp @ SV11 @ SV97 @ SV97 @ SV54 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) )
| ~ ( cong @ SV97 @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(556,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ! [SY835: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
| ~ ( coll @ SV139 @ SV12 @ SV55 ) )
| ( midp @ SY835 @ SV12 @ SV203 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[521]) ).
thf(557,plain,
! [SV190: $i,SV171: $i,SV140: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ( ~ ( ~ ( para @ SV13 @ SV56 @ SV99 @ SV140 )
| ~ ( perp @ SV99 @ SV140 @ SV171 @ SV190 ) ) )
= $false )
| ( ( perp @ SV13 @ SV56 @ SV171 @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(558,plain,
! [SV211: $i,SV204: $i,SV191: $i,SV172: $i,SV141: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ~ ~ ( ~ ( eqangle @ SV14 @ SV57 @ SV100 @ SV141 @ SV172 @ SV191 @ SV204 @ SV211 )
| ~ ( para @ SV172 @ SV191 @ SV204 @ SV211 ) )
| ( para @ SV14 @ SV57 @ SV100 @ SV141 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(559,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
| ~ ( coll @ SV173 @ SV58 @ SV142 ) )
| ~ ( coll @ SV192 @ SV15 @ SV58 ) )
| ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[524]) ).
thf(560,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) )
| ~ ( midp @ SV174 @ SV59 @ SV143 ) )
| ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(561,plain,
! [SV193: $i,SV175: $i,SV145: $i,SV104: $i,SV61: $i,SV18: $i] :
( ( ( simtri @ SV18 @ SV61 @ SV104 @ SV145 @ SV175 @ SV193 )
= $false )
| ( ( eqangle @ SV18 @ SV61 @ SV61 @ SV104 @ SV145 @ SV175 @ SV175 @ SV193 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(562,plain,
! [SV176: $i,SV146: $i,SV62: $i,SV105: $i,SV19: $i] :
( ( ~ ~ ( ~ ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
| ~ ( coll @ SV62 @ SV146 @ SV176 ) )
| ~ ( ~ ( coll @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV146 @ SV176 )
| ~ ( perp @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV19 @ SV146 @ SV176 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[527]) ).
thf(563,plain,
! [SV194: $i,SV177: $i,SV147: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ( ~ ( ~ ( perp @ SV20 @ SV63 @ SV106 @ SV147 )
| ~ ( perp @ SV106 @ SV147 @ SV177 @ SV194 ) ) )
= $false )
| ( ( para @ SV20 @ SV63 @ SV177 @ SV194 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[528]) ).
thf(564,plain,
! [SV64: $i,SV21: $i,SV107: $i] :
( ( ( eqangle @ SV107 @ SV21 @ SV21 @ SV64 @ SV21 @ SV64 @ SV107 @ SV64 )
= $false )
| ( ( ~ ~ ( coll @ SV107 @ SV21 @ SV64 ) )
= $true )
| ( ( cong @ SV107 @ SV21 @ SV107 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(565,plain,
! [SV195: $i,SV178: $i,SV148: $i,SV108: $i,SV65: $i,SV22: $i] :
( ( ( para @ SV22 @ SV65 @ SV108 @ SV148 )
= $false )
| ( ( eqangle @ SV22 @ SV65 @ SV178 @ SV195 @ SV108 @ SV148 @ SV178 @ SV195 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[530]) ).
thf(566,plain,
! [SV196: $i,SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ( ~ ( ~ ~ ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 )
| ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 ) )
| ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) ) )
= $false )
| ( ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(567,plain,
! [SV212: $i,SV205: $i,SV197: $i,SV180: $i,SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ~ ( eqangle @ SV26 @ SV69 @ SV112 @ SV151 @ SV180 @ SV197 @ SV205 @ SV212 )
| ( eqangle @ SV112 @ SV151 @ SV26 @ SV69 @ SV205 @ SV212 @ SV180 @ SV197 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(568,plain,
! [SV213: $i,SV206: $i,SV198: $i,SV181: $i,SV152: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ~ ( eqangle @ SV27 @ SV70 @ SV113 @ SV152 @ SV181 @ SV198 @ SV206 @ SV213 )
| ( eqangle @ SV27 @ SV70 @ SV181 @ SV198 @ SV113 @ SV152 @ SV206 @ SV213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(569,plain,
! [SV153: $i,SV71: $i,SV114: $i,SV28: $i] :
( ( ( ~ ( cong @ SV28 @ SV114 @ SV71 @ SV114 ) )
= $true )
| ( ( ~ ( cong @ SV28 @ SV153 @ SV71 @ SV153 ) )
= $true )
| ( ( perp @ SV28 @ SV71 @ SV114 @ SV153 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(570,plain,
! [SV72: $i,SV29: $i,SV154: $i,SV115: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
| ~ ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV72 @ SV29 @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) )
| ~ ( coll @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) @ SV115 @ SV154 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(571,plain,
! [SV118: $i,SV75: $i,SV32: $i,SV155: $i] :
( ( ( ~ ( circle @ SV155 @ SV32 @ SV75 @ SV118 ) )
= $true )
| ( ( perp @ ( sK13_SY755 @ SV118 @ SV75 @ SV32 @ SV155 ) @ SV32 @ SV32 @ SV155 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(572,plain,
! [SV214: $i,SV207: $i,SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY845: $i,SY846: $i,SY847: $i,SY848: $i] :
( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SV214 )
| ~ ( eqangle @ SV182 @ SV199 @ SV207 @ SV214 @ SY845 @ SY846 @ SY847 @ SY848 ) )
| ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SY845 @ SY846 @ SY847 @ SY848 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(573,plain,
! [SV157: $i,SV34: $i,SV77: $i,SV120: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
| ~ ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV34 @ SV77 )
| ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV120 @ SV157 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(574,plain,
! [SV158: $i,SV79: $i,SV36: $i,SV122: $i] :
( ( ( ~ ( eqangle @ SV122 @ SV36 @ SV122 @ SV79 @ SV158 @ SV36 @ SV158 @ SV79 ) )
= $true )
| ( ( ~ ~ ( coll @ SV122 @ SV158 @ SV36 ) )
= $true )
| ( ( cyclic @ SV36 @ SV79 @ SV122 @ SV158 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(575,plain,
! [SV183: $i,SV123: $i,SV80: $i,SV37: $i,SV159: $i] :
( ( ( ~ ( circle @ SV159 @ SV37 @ SV80 @ SV123 )
| ~ ( eqangle @ SV37 @ SV183 @ SV37 @ SV80 @ SV123 @ SV37 @ SV123 @ SV80 ) )
= $true )
| ( ( perp @ SV159 @ SV37 @ SV37 @ SV183 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(576,plain,
! [SV81: $i,SV38: $i,SV160: $i,SV124: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
| ~ ( cong @ SV124 @ SV38 @ SV124 @ SV81 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV81 @ SV38 @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) )
| ~ ( coll @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) @ SV124 @ SV160 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[541]) ).
thf(577,plain,
! [SV215: $i,SV208: $i,SV200: $i,SV184: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV184 @ SV200 @ SV208 @ SV215 )
| ( eqangle @ SV82 @ SV39 @ SV125 @ SV161 @ SV184 @ SV200 @ SV208 @ SV215 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(578,plain,
! [SV185: $i,SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
( ( ( ~ ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
| ~ ( perp @ SV162 @ SV40 @ SV40 @ SV185 ) )
= $true )
| ( ( eqangle @ SV40 @ SV185 @ SV40 @ SV83 @ SV126 @ SV40 @ SV126 @ SV83 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[543]) ).
thf(579,plain,
! [SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ( ~ ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV127 @ SV163 @ SV41 @ SV84 ) )
= $true )
| ( ( ~ ~ ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) )
= $true )
| ( ( para @ SV41 @ SV84 @ SV127 @ SV163 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[544]) ).
thf(580,plain,
! [SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ( ~ ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV128 @ SV164 @ SV42 @ SV85 ) )
= $true )
| ( ( ~ ~ ( para @ SV42 @ SV85 @ SV128 @ SV164 ) )
= $true )
| ( ( perp @ SV42 @ SV85 @ SV128 @ SV164 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[545]) ).
thf(581,plain,
! [SV129: $i,SV86: $i,SV43: $i,SV165: $i] :
( ( ( ~ ( circle @ SV165 @ SV43 @ SV86 @ SV129 ) )
= $true )
| ( ( ~ ( coll @ SV165 @ SV43 @ SV129 ) )
= $true )
| ( ( perp @ SV43 @ SV86 @ SV86 @ SV129 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[546]) ).
thf(582,plain,
! [SV130: $i,SV44: $i,SV1: $i,SV87: $i] :
( ( ( eqangle @ SV87 @ SV1 @ SV87 @ SV44 @ SV130 @ SV1 @ SV130 @ SV44 )
= $false )
| ( ( ~ ( coll @ SV87 @ SV130 @ SV44 ) )
= $true )
| ( ( cyclic @ SV1 @ SV44 @ SV87 @ SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(583,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
| ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[548]) ).
thf(584,plain,
! [SV132: $i,SV89: $i,SV46: $i,SV3: $i] :
( ( ( coll @ SV3 @ SV46 @ SV89 )
= $false )
| ( ( ~ ( coll @ SV3 @ SV46 @ SV132 ) )
= $true )
| ( ( coll @ SV89 @ SV132 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[549]) ).
thf(585,plain,
! [SV209: $i,SV201: $i,SV186: $i,SV166: $i,SV133: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV4 @ SV47 @ SV90 @ SV133 @ SV166 @ SV186 @ SV201 @ SV209 )
| ~ ( perp @ SV166 @ SV186 @ SV201 @ SV209 ) ) )
= $true )
| ( ( perp @ SV4 @ SV47 @ SV90 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[550]) ).
thf(586,plain,
! [SV210: $i,SV202: $i,SV188: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ( ~ ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV188 @ SV202 @ SV210 ) )
= $true )
| ( ( eqangle @ SV168 @ SV188 @ SV202 @ SV210 @ SV7 @ SV50 @ SV93 @ SV135 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[552]) ).
thf(587,plain,
! [SV169: $i,SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
| ~ ~ ( coll @ SV8 @ SV51 @ SV94 ) ) )
= $true )
| ( ( ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[553]) ).
thf(588,plain,
! [SV138: $i,SV53: $i,SV10: $i,SV96: $i] :
( ( ( ~ ( ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
| ~ ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) )
| ~ ( coll @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) @ SV96 @ SV138 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(589,plain,
! [SV54: $i,SV11: $i,SV97: $i] :
( ( ( ~ ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
| ~ ( perp @ SV11 @ SV97 @ SV97 @ SV54 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) )
| ~ ( cong @ SV97 @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[555]) ).
thf(590,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
| ~ ( coll @ SV139 @ SV12 @ SV55 ) )
| ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[556]) ).
thf(591,plain,
! [SV190: $i,SV171: $i,SV140: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ( ~ ( para @ SV13 @ SV56 @ SV99 @ SV140 )
| ~ ( perp @ SV99 @ SV140 @ SV171 @ SV190 ) )
= $true )
| ( ( perp @ SV13 @ SV56 @ SV171 @ SV190 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[557]) ).
thf(592,plain,
! [SV211: $i,SV204: $i,SV191: $i,SV172: $i,SV141: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV14 @ SV57 @ SV100 @ SV141 @ SV172 @ SV191 @ SV204 @ SV211 )
| ~ ( para @ SV172 @ SV191 @ SV204 @ SV211 ) ) )
= $true )
| ( ( para @ SV14 @ SV57 @ SV100 @ SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[558]) ).
thf(593,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
| ~ ( coll @ SV173 @ SV58 @ SV142 ) )
| ~ ( coll @ SV192 @ SV15 @ SV58 ) )
| ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[559]) ).
thf(594,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) )
| ~ ( midp @ SV174 @ SV59 @ SV143 ) ) )
= $true )
| ( ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[560]) ).
thf(595,plain,
! [SV176: $i,SV146: $i,SV62: $i,SV105: $i,SV19: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
| ~ ( coll @ SV62 @ SV146 @ SV176 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV146 @ SV176 )
| ~ ( perp @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV19 @ SV146 @ SV176 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[562]) ).
thf(596,plain,
! [SV194: $i,SV177: $i,SV147: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ( ~ ( perp @ SV20 @ SV63 @ SV106 @ SV147 )
| ~ ( perp @ SV106 @ SV147 @ SV177 @ SV194 ) )
= $true )
| ( ( para @ SV20 @ SV63 @ SV177 @ SV194 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[563]) ).
thf(597,plain,
! [SV64: $i,SV21: $i,SV107: $i] :
( ( ( ~ ( coll @ SV107 @ SV21 @ SV64 ) )
= $false )
| ( ( eqangle @ SV107 @ SV21 @ SV21 @ SV64 @ SV21 @ SV64 @ SV107 @ SV64 )
= $false )
| ( ( cong @ SV107 @ SV21 @ SV107 @ SV64 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(598,plain,
! [SV196: $i,SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 )
| ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 ) )
| ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) )
= $true )
| ( ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[566]) ).
thf(599,plain,
! [SV212: $i,SV205: $i,SV197: $i,SV180: $i,SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ( ~ ( eqangle @ SV26 @ SV69 @ SV112 @ SV151 @ SV180 @ SV197 @ SV205 @ SV212 ) )
= $true )
| ( ( eqangle @ SV112 @ SV151 @ SV26 @ SV69 @ SV205 @ SV212 @ SV180 @ SV197 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(600,plain,
! [SV213: $i,SV206: $i,SV198: $i,SV181: $i,SV152: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ( ~ ( eqangle @ SV27 @ SV70 @ SV113 @ SV152 @ SV181 @ SV198 @ SV206 @ SV213 ) )
= $true )
| ( ( eqangle @ SV27 @ SV70 @ SV181 @ SV198 @ SV113 @ SV152 @ SV206 @ SV213 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(601,plain,
! [SV153: $i,SV71: $i,SV114: $i,SV28: $i] :
( ( ( cong @ SV28 @ SV114 @ SV71 @ SV114 )
= $false )
| ( ( ~ ( cong @ SV28 @ SV153 @ SV71 @ SV153 ) )
= $true )
| ( ( perp @ SV28 @ SV71 @ SV114 @ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[569]) ).
thf(602,plain,
! [SV72: $i,SV29: $i,SV154: $i,SV115: $i] :
( ( ( ~ ( ~ ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
| ~ ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV72 @ SV29 @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) )
| ~ ( coll @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) @ SV115 @ SV154 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(603,plain,
! [SV118: $i,SV75: $i,SV32: $i,SV155: $i] :
( ( ( circle @ SV155 @ SV32 @ SV75 @ SV118 )
= $false )
| ( ( perp @ ( sK13_SY755 @ SV118 @ SV75 @ SV32 @ SV155 ) @ SV32 @ SV32 @ SV155 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[571]) ).
thf(604,plain,
! [SV216: $i,SV214: $i,SV207: $i,SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY849: $i,SY850: $i,SY851: $i] :
( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SV214 )
| ~ ( eqangle @ SV182 @ SV199 @ SV207 @ SV214 @ SV216 @ SY849 @ SY850 @ SY851 ) )
| ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV216 @ SY849 @ SY850 @ SY851 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(605,plain,
! [SV157: $i,SV34: $i,SV77: $i,SV120: $i] :
( ( ( ~ ( ~ ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
| ~ ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV34 @ SV77 )
| ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV120 @ SV157 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[573]) ).
thf(606,plain,
! [SV158: $i,SV79: $i,SV36: $i,SV122: $i] :
( ( ( eqangle @ SV122 @ SV36 @ SV122 @ SV79 @ SV158 @ SV36 @ SV158 @ SV79 )
= $false )
| ( ( ~ ~ ( coll @ SV122 @ SV158 @ SV36 ) )
= $true )
| ( ( cyclic @ SV36 @ SV79 @ SV122 @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(607,plain,
! [SV183: $i,SV123: $i,SV80: $i,SV37: $i,SV159: $i] :
( ( ( ~ ( circle @ SV159 @ SV37 @ SV80 @ SV123 ) )
= $true )
| ( ( ~ ( eqangle @ SV37 @ SV183 @ SV37 @ SV80 @ SV123 @ SV37 @ SV123 @ SV80 ) )
= $true )
| ( ( perp @ SV159 @ SV37 @ SV37 @ SV183 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[575]) ).
thf(608,plain,
! [SV81: $i,SV38: $i,SV160: $i,SV124: $i] :
( ( ( ~ ( ~ ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
| ~ ( cong @ SV124 @ SV38 @ SV124 @ SV81 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV81 @ SV38 @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) )
| ~ ( coll @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) @ SV124 @ SV160 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[576]) ).
thf(609,plain,
! [SV215: $i,SV208: $i,SV200: $i,SV184: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ( ~ ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV184 @ SV200 @ SV208 @ SV215 ) )
= $true )
| ( ( eqangle @ SV82 @ SV39 @ SV125 @ SV161 @ SV184 @ SV200 @ SV208 @ SV215 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(610,plain,
! [SV185: $i,SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
( ( ( ~ ( circle @ SV162 @ SV40 @ SV83 @ SV126 ) )
= $true )
| ( ( ~ ( perp @ SV162 @ SV40 @ SV40 @ SV185 ) )
= $true )
| ( ( eqangle @ SV40 @ SV185 @ SV40 @ SV83 @ SV126 @ SV40 @ SV126 @ SV83 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[578]) ).
thf(611,plain,
! [SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV127 @ SV163 @ SV41 @ SV84 )
= $false )
| ( ( ~ ~ ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) )
= $true )
| ( ( para @ SV41 @ SV84 @ SV127 @ SV163 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[579]) ).
thf(612,plain,
! [SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV128 @ SV164 @ SV42 @ SV85 )
= $false )
| ( ( ~ ~ ( para @ SV42 @ SV85 @ SV128 @ SV164 ) )
= $true )
| ( ( perp @ SV42 @ SV85 @ SV128 @ SV164 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[580]) ).
thf(613,plain,
! [SV129: $i,SV86: $i,SV43: $i,SV165: $i] :
( ( ( circle @ SV165 @ SV43 @ SV86 @ SV129 )
= $false )
| ( ( ~ ( coll @ SV165 @ SV43 @ SV129 ) )
= $true )
| ( ( perp @ SV43 @ SV86 @ SV86 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[581]) ).
thf(614,plain,
! [SV1: $i,SV44: $i,SV130: $i,SV87: $i] :
( ( ( coll @ SV87 @ SV130 @ SV44 )
= $false )
| ( ( eqangle @ SV87 @ SV1 @ SV87 @ SV44 @ SV130 @ SV1 @ SV130 @ SV44 )
= $false )
| ( ( cyclic @ SV1 @ SV44 @ SV87 @ SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[582]) ).
thf(615,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ~ ~ ( ~ ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
| ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[583]) ).
thf(616,plain,
! [SV89: $i,SV132: $i,SV46: $i,SV3: $i] :
( ( ( coll @ SV3 @ SV46 @ SV132 )
= $false )
| ( ( coll @ SV3 @ SV46 @ SV89 )
= $false )
| ( ( coll @ SV89 @ SV132 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[584]) ).
thf(617,plain,
! [SV209: $i,SV201: $i,SV186: $i,SV166: $i,SV133: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ( ~ ( ~ ( eqangle @ SV4 @ SV47 @ SV90 @ SV133 @ SV166 @ SV186 @ SV201 @ SV209 )
| ~ ( perp @ SV166 @ SV186 @ SV201 @ SV209 ) ) )
= $false )
| ( ( perp @ SV4 @ SV47 @ SV90 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(618,plain,
! [SV210: $i,SV202: $i,SV188: $i,SV168: $i,SV135: $i,SV93: $i,SV50: $i,SV7: $i] :
( ( ( eqangle @ SV7 @ SV50 @ SV93 @ SV135 @ SV168 @ SV188 @ SV202 @ SV210 )
= $false )
| ( ( eqangle @ SV168 @ SV188 @ SV202 @ SV210 @ SV7 @ SV50 @ SV93 @ SV135 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(619,plain,
! [SV169: $i,SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ( ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
| ~ ~ ( coll @ SV8 @ SV51 @ SV94 ) ) )
= $false )
| ( ( ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[587]) ).
thf(620,plain,
! [SV138: $i,SV53: $i,SV10: $i,SV96: $i] :
( ( ( ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
| ~ ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) )
| ~ ( coll @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) @ SV96 @ SV138 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[588]) ).
thf(621,plain,
! [SV54: $i,SV11: $i,SV97: $i] :
( ( ( ~ ( cong @ SV97 @ SV11 @ SV97 @ SV54 ) )
= $true )
| ( ( ~ ( perp @ SV11 @ SV97 @ SV97 @ SV54 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) )
| ~ ( cong @ SV97 @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(622,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
| ~ ( coll @ SV139 @ SV12 @ SV55 ) )
| ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[590]) ).
thf(623,plain,
! [SV190: $i,SV171: $i,SV140: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ( ~ ( para @ SV13 @ SV56 @ SV99 @ SV140 ) )
= $true )
| ( ( ~ ( perp @ SV99 @ SV140 @ SV171 @ SV190 ) )
= $true )
| ( ( perp @ SV13 @ SV56 @ SV171 @ SV190 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(624,plain,
! [SV211: $i,SV204: $i,SV191: $i,SV172: $i,SV141: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ( ~ ( ~ ( eqangle @ SV14 @ SV57 @ SV100 @ SV141 @ SV172 @ SV191 @ SV204 @ SV211 )
| ~ ( para @ SV172 @ SV191 @ SV204 @ SV211 ) ) )
= $false )
| ( ( para @ SV14 @ SV57 @ SV100 @ SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[592]) ).
thf(625,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
| ~ ( coll @ SV173 @ SV58 @ SV142 ) )
| ~ ( coll @ SV192 @ SV15 @ SV58 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[593]) ).
thf(626,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ( ~ ( ~ ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) )
| ~ ( midp @ SV174 @ SV59 @ SV143 ) ) )
= $false )
| ( ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[594]) ).
thf(627,plain,
! [SV176: $i,SV146: $i,SV62: $i,SV105: $i,SV19: $i] :
( ( ( ~ ( ~ ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
| ~ ( coll @ SV62 @ SV146 @ SV176 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV146 @ SV176 )
| ~ ( perp @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV19 @ SV146 @ SV176 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[595]) ).
thf(628,plain,
! [SV194: $i,SV177: $i,SV147: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ( ~ ( perp @ SV20 @ SV63 @ SV106 @ SV147 ) )
= $true )
| ( ( ~ ( perp @ SV106 @ SV147 @ SV177 @ SV194 ) )
= $true )
| ( ( para @ SV20 @ SV63 @ SV177 @ SV194 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[596]) ).
thf(629,plain,
! [SV64: $i,SV21: $i,SV107: $i] :
( ( ( coll @ SV107 @ SV21 @ SV64 )
= $true )
| ( ( eqangle @ SV107 @ SV21 @ SV21 @ SV64 @ SV21 @ SV64 @ SV107 @ SV64 )
= $false )
| ( ( cong @ SV107 @ SV21 @ SV107 @ SV64 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(630,plain,
! [SV196: $i,SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 )
| ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 ) ) )
= $true )
| ( ( ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) )
= $true )
| ( ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[598]) ).
thf(631,plain,
! [SV212: $i,SV205: $i,SV197: $i,SV180: $i,SV151: $i,SV112: $i,SV69: $i,SV26: $i] :
( ( ( eqangle @ SV26 @ SV69 @ SV112 @ SV151 @ SV180 @ SV197 @ SV205 @ SV212 )
= $false )
| ( ( eqangle @ SV112 @ SV151 @ SV26 @ SV69 @ SV205 @ SV212 @ SV180 @ SV197 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(632,plain,
! [SV213: $i,SV206: $i,SV198: $i,SV181: $i,SV152: $i,SV113: $i,SV70: $i,SV27: $i] :
( ( ( eqangle @ SV27 @ SV70 @ SV113 @ SV152 @ SV181 @ SV198 @ SV206 @ SV213 )
= $false )
| ( ( eqangle @ SV27 @ SV70 @ SV181 @ SV198 @ SV113 @ SV152 @ SV206 @ SV213 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[600]) ).
thf(633,plain,
! [SV114: $i,SV71: $i,SV153: $i,SV28: $i] :
( ( ( cong @ SV28 @ SV153 @ SV71 @ SV153 )
= $false )
| ( ( cong @ SV28 @ SV114 @ SV71 @ SV114 )
= $false )
| ( ( perp @ SV28 @ SV71 @ SV114 @ SV153 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[601]) ).
thf(634,plain,
! [SV72: $i,SV29: $i,SV154: $i,SV115: $i] :
( ( ( ~ ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
| ~ ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV72 @ SV29 @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) )
| ~ ( coll @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) @ SV115 @ SV154 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(635,plain,
! [SV217: $i,SV216: $i,SV214: $i,SV207: $i,SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY852: $i,SY853: $i] :
( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SV214 )
| ~ ( eqangle @ SV182 @ SV199 @ SV207 @ SV214 @ SV216 @ SV217 @ SY852 @ SY853 ) )
| ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV216 @ SV217 @ SY852 @ SY853 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(636,plain,
! [SV157: $i,SV34: $i,SV77: $i,SV120: $i] :
( ( ( ~ ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
| ~ ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV34 @ SV77 )
| ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV120 @ SV157 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(637,plain,
! [SV79: $i,SV36: $i,SV158: $i,SV122: $i] :
( ( ( ~ ( coll @ SV122 @ SV158 @ SV36 ) )
= $false )
| ( ( eqangle @ SV122 @ SV36 @ SV122 @ SV79 @ SV158 @ SV36 @ SV158 @ SV79 )
= $false )
| ( ( cyclic @ SV36 @ SV79 @ SV122 @ SV158 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[606]) ).
thf(638,plain,
! [SV183: $i,SV123: $i,SV80: $i,SV37: $i,SV159: $i] :
( ( ( circle @ SV159 @ SV37 @ SV80 @ SV123 )
= $false )
| ( ( ~ ( eqangle @ SV37 @ SV183 @ SV37 @ SV80 @ SV123 @ SV37 @ SV123 @ SV80 ) )
= $true )
| ( ( perp @ SV159 @ SV37 @ SV37 @ SV183 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(639,plain,
! [SV81: $i,SV38: $i,SV160: $i,SV124: $i] :
( ( ( ~ ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
| ~ ( cong @ SV124 @ SV38 @ SV124 @ SV81 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV81 @ SV38 @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) )
| ~ ( coll @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) @ SV124 @ SV160 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[608]) ).
thf(640,plain,
! [SV215: $i,SV208: $i,SV200: $i,SV184: $i,SV161: $i,SV125: $i,SV82: $i,SV39: $i] :
( ( ( eqangle @ SV39 @ SV82 @ SV125 @ SV161 @ SV184 @ SV200 @ SV208 @ SV215 )
= $false )
| ( ( eqangle @ SV82 @ SV39 @ SV125 @ SV161 @ SV184 @ SV200 @ SV208 @ SV215 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[609]) ).
thf(641,plain,
! [SV185: $i,SV126: $i,SV83: $i,SV40: $i,SV162: $i] :
( ( ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
= $false )
| ( ( ~ ( perp @ SV162 @ SV40 @ SV40 @ SV185 ) )
= $true )
| ( ( eqangle @ SV40 @ SV185 @ SV40 @ SV83 @ SV126 @ SV40 @ SV126 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[610]) ).
thf(642,plain,
! [SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ( ~ ( perp @ SV41 @ SV84 @ SV127 @ SV163 ) )
= $false )
| ( ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV127 @ SV163 @ SV41 @ SV84 )
= $false )
| ( ( para @ SV41 @ SV84 @ SV127 @ SV163 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[611]) ).
thf(643,plain,
! [SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ( ~ ( para @ SV42 @ SV85 @ SV128 @ SV164 ) )
= $false )
| ( ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV128 @ SV164 @ SV42 @ SV85 )
= $false )
| ( ( perp @ SV42 @ SV85 @ SV128 @ SV164 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[612]) ).
thf(644,plain,
! [SV86: $i,SV129: $i,SV43: $i,SV165: $i] :
( ( ( coll @ SV165 @ SV43 @ SV129 )
= $false )
| ( ( circle @ SV165 @ SV43 @ SV86 @ SV129 )
= $false )
| ( ( perp @ SV43 @ SV86 @ SV86 @ SV129 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[613]) ).
thf(645,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
| ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[615]) ).
thf(646,plain,
! [SV209: $i,SV201: $i,SV186: $i,SV166: $i,SV133: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ( ~ ( eqangle @ SV4 @ SV47 @ SV90 @ SV133 @ SV166 @ SV186 @ SV201 @ SV209 )
| ~ ( perp @ SV166 @ SV186 @ SV201 @ SV209 ) )
= $true )
| ( ( perp @ SV4 @ SV47 @ SV90 @ SV133 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[617]) ).
thf(647,plain,
! [SV169: $i,SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
| ~ ~ ( coll @ SV8 @ SV51 @ SV94 ) )
= $true )
| ( ( ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[619]) ).
thf(648,plain,
! [SV138: $i,SV53: $i,SV10: $i,SV96: $i] :
( ( ( ~ ( cong @ SV96 @ SV10 @ SV96 @ SV53 ) )
= $true )
| ( ( ~ ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) )
| ~ ( coll @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) @ SV96 @ SV138 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[620]) ).
thf(649,plain,
! [SV54: $i,SV11: $i,SV97: $i] :
( ( ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
= $false )
| ( ( ~ ( perp @ SV11 @ SV97 @ SV97 @ SV54 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) )
| ~ ( cong @ SV97 @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[621]) ).
thf(650,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
| ~ ( coll @ SV139 @ SV12 @ SV55 ) ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(651,plain,
! [SV190: $i,SV171: $i,SV140: $i,SV99: $i,SV56: $i,SV13: $i] :
( ( ( para @ SV13 @ SV56 @ SV99 @ SV140 )
= $false )
| ( ( ~ ( perp @ SV99 @ SV140 @ SV171 @ SV190 ) )
= $true )
| ( ( perp @ SV13 @ SV56 @ SV171 @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[623]) ).
thf(652,plain,
! [SV211: $i,SV204: $i,SV191: $i,SV172: $i,SV141: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ( ~ ( eqangle @ SV14 @ SV57 @ SV100 @ SV141 @ SV172 @ SV191 @ SV204 @ SV211 )
| ~ ( para @ SV172 @ SV191 @ SV204 @ SV211 ) )
= $true )
| ( ( para @ SV14 @ SV57 @ SV100 @ SV141 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[624]) ).
thf(653,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
| ~ ( coll @ SV173 @ SV58 @ SV142 ) )
| ~ ( coll @ SV192 @ SV15 @ SV58 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(654,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) )
| ~ ( midp @ SV174 @ SV59 @ SV143 ) )
= $true )
| ( ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(655,plain,
! [SV176: $i,SV146: $i,SV62: $i,SV105: $i,SV19: $i] :
( ( ( ~ ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
| ~ ( coll @ SV62 @ SV146 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV146 @ SV176 )
| ~ ( perp @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV19 @ SV146 @ SV176 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(656,plain,
! [SV194: $i,SV177: $i,SV147: $i,SV106: $i,SV63: $i,SV20: $i] :
( ( ( perp @ SV20 @ SV63 @ SV106 @ SV147 )
= $false )
| ( ( ~ ( perp @ SV106 @ SV147 @ SV177 @ SV194 ) )
= $true )
| ( ( para @ SV20 @ SV63 @ SV177 @ SV194 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[628]) ).
thf(657,plain,
! [SV196: $i,SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ( ~ ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 )
| ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 ) ) )
= $false )
| ( ( ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) )
= $true )
| ( ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[630]) ).
thf(658,plain,
! [SV72: $i,SV29: $i,SV154: $i,SV115: $i] :
( ( ( ~ ( perp @ SV115 @ SV154 @ SV29 @ SV72 ) )
= $true )
| ( ( ~ ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV72 @ SV29 @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) )
| ~ ( coll @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) @ SV115 @ SV154 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(659,plain,
! [SV218: $i,SV217: $i,SV216: $i,SV214: $i,SV207: $i,SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ! [SY854: $i] :
( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SV214 )
| ~ ( eqangle @ SV182 @ SV199 @ SV207 @ SV214 @ SV216 @ SV217 @ SV218 @ SY854 ) )
| ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV216 @ SV217 @ SV218 @ SY854 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[635]) ).
thf(660,plain,
! [SV157: $i,SV34: $i,SV77: $i,SV120: $i] :
( ( ( ~ ( perp @ SV120 @ SV77 @ SV77 @ SV34 ) )
= $true )
| ( ( ~ ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV34 @ SV77 )
| ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV120 @ SV157 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(661,plain,
! [SV79: $i,SV36: $i,SV158: $i,SV122: $i] :
( ( ( coll @ SV122 @ SV158 @ SV36 )
= $true )
| ( ( eqangle @ SV122 @ SV36 @ SV122 @ SV79 @ SV158 @ SV36 @ SV158 @ SV79 )
= $false )
| ( ( cyclic @ SV36 @ SV79 @ SV122 @ SV158 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(662,plain,
! [SV159: $i,SV123: $i,SV80: $i,SV183: $i,SV37: $i] :
( ( ( eqangle @ SV37 @ SV183 @ SV37 @ SV80 @ SV123 @ SV37 @ SV123 @ SV80 )
= $false )
| ( ( circle @ SV159 @ SV37 @ SV80 @ SV123 )
= $false )
| ( ( perp @ SV159 @ SV37 @ SV37 @ SV183 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[638]) ).
thf(663,plain,
! [SV81: $i,SV38: $i,SV160: $i,SV124: $i] :
( ( ( ~ ( perp @ SV124 @ SV160 @ SV38 @ SV81 ) )
= $true )
| ( ( ~ ( cong @ SV124 @ SV38 @ SV124 @ SV81 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV81 @ SV38 @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) )
| ~ ( coll @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) @ SV124 @ SV160 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[639]) ).
thf(664,plain,
! [SV126: $i,SV83: $i,SV185: $i,SV40: $i,SV162: $i] :
( ( ( perp @ SV162 @ SV40 @ SV40 @ SV185 )
= $false )
| ( ( circle @ SV162 @ SV40 @ SV83 @ SV126 )
= $false )
| ( ( eqangle @ SV40 @ SV185 @ SV40 @ SV83 @ SV126 @ SV40 @ SV126 @ SV83 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[641]) ).
thf(665,plain,
! [SV163: $i,SV127: $i,SV84: $i,SV41: $i] :
( ( ( perp @ SV41 @ SV84 @ SV127 @ SV163 )
= $true )
| ( ( eqangle @ SV41 @ SV84 @ SV127 @ SV163 @ SV127 @ SV163 @ SV41 @ SV84 )
= $false )
| ( ( para @ SV41 @ SV84 @ SV127 @ SV163 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(666,plain,
! [SV164: $i,SV128: $i,SV85: $i,SV42: $i] :
( ( ( para @ SV42 @ SV85 @ SV128 @ SV164 )
= $true )
| ( ( eqangle @ SV42 @ SV85 @ SV128 @ SV164 @ SV128 @ SV164 @ SV42 @ SV85 )
= $false )
| ( ( perp @ SV42 @ SV85 @ SV128 @ SV164 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[643]) ).
thf(667,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ( ~ ( ~ ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
| ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[645]) ).
thf(668,plain,
! [SV209: $i,SV201: $i,SV186: $i,SV166: $i,SV133: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ( ~ ( eqangle @ SV4 @ SV47 @ SV90 @ SV133 @ SV166 @ SV186 @ SV201 @ SV209 ) )
= $true )
| ( ( ~ ( perp @ SV166 @ SV186 @ SV201 @ SV209 ) )
= $true )
| ( ( perp @ SV4 @ SV47 @ SV90 @ SV133 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[646]) ).
thf(669,plain,
! [SV169: $i,SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 ) )
= $true )
| ( ( ~ ~ ( coll @ SV8 @ SV51 @ SV94 ) )
= $true )
| ( ( ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[647]) ).
thf(670,plain,
! [SV138: $i,SV53: $i,SV10: $i,SV96: $i] :
( ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
= $false )
| ( ( ~ ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) )
| ~ ( coll @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) @ SV96 @ SV138 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[648]) ).
thf(671,plain,
! [SV54: $i,SV97: $i,SV11: $i] :
( ( ( perp @ SV11 @ SV97 @ SV97 @ SV54 )
= $false )
| ( ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
= $false )
| ( ( ~ ( ~ ( coll @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) )
| ~ ( cong @ SV97 @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[649]) ).
thf(672,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
| ~ ( coll @ SV139 @ SV12 @ SV55 ) ) )
= $false )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(673,plain,
! [SV56: $i,SV13: $i,SV190: $i,SV171: $i,SV140: $i,SV99: $i] :
( ( ( perp @ SV99 @ SV140 @ SV171 @ SV190 )
= $false )
| ( ( para @ SV13 @ SV56 @ SV99 @ SV140 )
= $false )
| ( ( perp @ SV13 @ SV56 @ SV171 @ SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(674,plain,
! [SV211: $i,SV204: $i,SV191: $i,SV172: $i,SV141: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ( ~ ( eqangle @ SV14 @ SV57 @ SV100 @ SV141 @ SV172 @ SV191 @ SV204 @ SV211 ) )
= $true )
| ( ( ~ ( para @ SV172 @ SV191 @ SV204 @ SV211 ) )
= $true )
| ( ( para @ SV14 @ SV57 @ SV100 @ SV141 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(675,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
| ~ ( coll @ SV173 @ SV58 @ SV142 ) )
| ~ ( coll @ SV192 @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[653]) ).
thf(676,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) ) )
= $true )
| ( ( ~ ( midp @ SV174 @ SV59 @ SV143 ) )
= $true )
| ( ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[654]) ).
thf(677,plain,
! [SV176: $i,SV146: $i,SV62: $i,SV105: $i,SV19: $i] :
( ( ( ~ ( perp @ SV19 @ SV105 @ SV105 @ SV62 ) )
= $true )
| ( ( ~ ( coll @ SV62 @ SV146 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV146 @ SV176 )
| ~ ( perp @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV19 @ SV146 @ SV176 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[655]) ).
thf(678,plain,
! [SV63: $i,SV20: $i,SV194: $i,SV177: $i,SV147: $i,SV106: $i] :
( ( ( perp @ SV106 @ SV147 @ SV177 @ SV194 )
= $false )
| ( ( perp @ SV20 @ SV63 @ SV106 @ SV147 )
= $false )
| ( ( para @ SV20 @ SV63 @ SV177 @ SV194 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(679,plain,
! [SV196: $i,SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 )
| ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 ) )
= $true )
| ( ( ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) )
= $true )
| ( ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[657]) ).
thf(680,plain,
! [SV72: $i,SV29: $i,SV154: $i,SV115: $i] :
( ( ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
= $false )
| ( ( ~ ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV72 @ SV29 @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) )
| ~ ( coll @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) @ SV115 @ SV154 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[658]) ).
thf(681,plain,
! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV214: $i,SV207: $i,SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SV214 )
| ~ ( eqangle @ SV182 @ SV199 @ SV207 @ SV214 @ SV216 @ SV217 @ SV218 @ SV219 ) )
| ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV216 @ SV217 @ SV218 @ SV219 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[659]) ).
thf(682,plain,
! [SV157: $i,SV34: $i,SV77: $i,SV120: $i] :
( ( ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
= $false )
| ( ( ~ ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV34 @ SV77 )
| ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV120 @ SV157 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[660]) ).
thf(683,plain,
! [SV81: $i,SV38: $i,SV160: $i,SV124: $i] :
( ( ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
= $false )
| ( ( ~ ( cong @ SV124 @ SV38 @ SV124 @ SV81 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV81 @ SV38 @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) )
| ~ ( coll @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) @ SV124 @ SV160 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(684,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ( ~ ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
| ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[667]) ).
thf(685,plain,
! [SV209: $i,SV201: $i,SV186: $i,SV166: $i,SV133: $i,SV90: $i,SV47: $i,SV4: $i] :
( ( ( eqangle @ SV4 @ SV47 @ SV90 @ SV133 @ SV166 @ SV186 @ SV201 @ SV209 )
= $false )
| ( ( ~ ( perp @ SV166 @ SV186 @ SV201 @ SV209 ) )
= $true )
| ( ( perp @ SV4 @ SV47 @ SV90 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[668]) ).
thf(686,plain,
! [SV169: $i,SV136: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
= $false )
| ( ( ~ ~ ( coll @ SV8 @ SV51 @ SV94 ) )
= $true )
| ( ( ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[669]) ).
thf(687,plain,
! [SV53: $i,SV138: $i,SV96: $i,SV10: $i] :
( ( ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 )
= $false )
| ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
= $false )
| ( ( ~ ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) )
| ~ ( coll @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) @ SV96 @ SV138 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(688,plain,
! [SV54: $i,SV97: $i,SV11: $i] :
( ( ( ~ ( coll @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) )
| ~ ( cong @ SV97 @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) ) )
= $false )
| ( ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
= $false )
| ( ( perp @ SV11 @ SV97 @ SV97 @ SV54 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(689,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
| ~ ( coll @ SV139 @ SV12 @ SV55 ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[672]) ).
thf(690,plain,
! [SV211: $i,SV204: $i,SV191: $i,SV172: $i,SV141: $i,SV100: $i,SV57: $i,SV14: $i] :
( ( ( eqangle @ SV14 @ SV57 @ SV100 @ SV141 @ SV172 @ SV191 @ SV204 @ SV211 )
= $false )
| ( ( ~ ( para @ SV172 @ SV191 @ SV204 @ SV211 ) )
= $true )
| ( ( para @ SV14 @ SV57 @ SV100 @ SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[674]) ).
thf(691,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
| ~ ( coll @ SV173 @ SV58 @ SV142 ) ) )
= $true )
| ( ( ~ ( coll @ SV192 @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(692,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ( ~ ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) ) )
= $false )
| ( ( ~ ( midp @ SV174 @ SV59 @ SV143 ) )
= $true )
| ( ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(693,plain,
! [SV176: $i,SV146: $i,SV62: $i,SV105: $i,SV19: $i] :
( ( ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
= $false )
| ( ( ~ ( coll @ SV62 @ SV146 @ SV176 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV146 @ SV176 )
| ~ ( perp @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV19 @ SV146 @ SV176 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(694,plain,
! [SV196: $i,SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ( ~ ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 ) )
= $true )
| ( ( ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 ) )
= $true )
| ( ( ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) )
= $true )
| ( ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[679]) ).
thf(695,plain,
! [SV72: $i,SV154: $i,SV115: $i,SV29: $i] :
( ( ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 )
= $false )
| ( ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
= $false )
| ( ( ~ ( ~ ( coll @ SV72 @ SV29 @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) )
| ~ ( coll @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) @ SV115 @ SV154 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[680]) ).
thf(696,plain,
! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV214: $i,SV207: $i,SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SV214 )
| ~ ( eqangle @ SV182 @ SV199 @ SV207 @ SV214 @ SV216 @ SV217 @ SV218 @ SV219 ) ) )
= $true )
| ( ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV216 @ SV217 @ SV218 @ SV219 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[681]) ).
thf(697,plain,
! [SV34: $i,SV77: $i,SV120: $i,SV157: $i] :
( ( ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 )
= $false )
| ( ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV34 @ SV77 )
| ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV120 @ SV157 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[682]) ).
thf(698,plain,
! [SV160: $i,SV81: $i,SV38: $i,SV124: $i] :
( ( ( cong @ SV124 @ SV38 @ SV124 @ SV81 )
= $false )
| ( ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
= $false )
| ( ( ~ ( ~ ( coll @ SV81 @ SV38 @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) )
| ~ ( coll @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) @ SV124 @ SV160 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[683]) ).
thf(699,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ( ~ ( perp @ SV2 @ SV131 @ SV45 @ SV88 ) )
= $true )
| ( ( ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[684]) ).
thf(700,plain,
! [SV133: $i,SV90: $i,SV47: $i,SV4: $i,SV209: $i,SV201: $i,SV186: $i,SV166: $i] :
( ( ( perp @ SV166 @ SV186 @ SV201 @ SV209 )
= $false )
| ( ( eqangle @ SV4 @ SV47 @ SV90 @ SV133 @ SV166 @ SV186 @ SV201 @ SV209 )
= $false )
| ( ( perp @ SV4 @ SV47 @ SV90 @ SV133 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[685]) ).
thf(701,plain,
! [SV169: $i,SV136: $i,SV94: $i,SV51: $i,SV8: $i] :
( ( ( ~ ( coll @ SV8 @ SV51 @ SV94 ) )
= $false )
| ( ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
= $false )
| ( ( ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[686]) ).
thf(702,plain,
! [SV96: $i,SV138: $i,SV10: $i,SV53: $i] :
( ( ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) )
| ~ ( coll @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) @ SV96 @ SV138 ) )
= $false )
| ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
= $false )
| ( ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(703,plain,
! [SV54: $i,SV97: $i,SV11: $i] :
( ( ( ~ ( coll @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) ) )
= $false )
| ( ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
= $false )
| ( ( perp @ SV11 @ SV97 @ SV97 @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(704,plain,
! [SV54: $i,SV11: $i,SV97: $i] :
( ( ( ~ ( cong @ SV97 @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) ) )
= $false )
| ( ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
= $false )
| ( ( perp @ SV11 @ SV97 @ SV97 @ SV54 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[688]) ).
thf(705,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) ) )
= $true )
| ( ( ~ ( coll @ SV139 @ SV12 @ SV55 ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[689]) ).
thf(706,plain,
! [SV141: $i,SV100: $i,SV57: $i,SV14: $i,SV211: $i,SV204: $i,SV191: $i,SV172: $i] :
( ( ( para @ SV172 @ SV191 @ SV204 @ SV211 )
= $false )
| ( ( eqangle @ SV14 @ SV57 @ SV100 @ SV141 @ SV172 @ SV191 @ SV204 @ SV211 )
= $false )
| ( ( para @ SV14 @ SV57 @ SV100 @ SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(707,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( ~ ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
| ~ ( coll @ SV173 @ SV58 @ SV142 ) ) )
= $false )
| ( ( ~ ( coll @ SV192 @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(708,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
| ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) )
= $true )
| ( ( ~ ( midp @ SV174 @ SV59 @ SV143 ) )
= $true )
| ( ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[692]) ).
thf(709,plain,
! [SV105: $i,SV19: $i,SV176: $i,SV146: $i,SV62: $i] :
( ( ( coll @ SV62 @ SV146 @ SV176 )
= $false )
| ( ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV146 @ SV176 )
| ~ ( perp @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV19 @ SV146 @ SV176 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(710,plain,
! [SV196: $i,SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 )
= $false )
| ( ( ~ ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 ) )
= $true )
| ( ( ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) )
= $true )
| ( ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(711,plain,
! [SV115: $i,SV154: $i,SV29: $i,SV72: $i] :
( ( ( ~ ( coll @ SV72 @ SV29 @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) )
| ~ ( coll @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) @ SV115 @ SV154 ) )
= $false )
| ( ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
= $false )
| ( ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(712,plain,
! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV214: $i,SV207: $i,SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ( ~ ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SV214 )
| ~ ( eqangle @ SV182 @ SV199 @ SV207 @ SV214 @ SV216 @ SV217 @ SV218 @ SV219 ) ) )
= $false )
| ( ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV216 @ SV217 @ SV218 @ SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(713,plain,
! [SV120: $i,SV77: $i,SV34: $i,SV157: $i] :
( ( ( ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV34 @ SV77 )
| ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV120 @ SV157 ) )
= $false )
| ( ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
= $false )
| ( ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(714,plain,
! [SV124: $i,SV160: $i,SV38: $i,SV81: $i] :
( ( ( ~ ( coll @ SV81 @ SV38 @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) )
| ~ ( coll @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) @ SV124 @ SV160 ) )
= $false )
| ( ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
= $false )
| ( ( cong @ SV124 @ SV38 @ SV124 @ SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(715,plain,
! [SV88: $i,SV45: $i,SV131: $i,SV2: $i] :
( ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( ~ ( perp @ SV45 @ SV131 @ SV2 @ SV88 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[699]) ).
thf(716,plain,
! [SV169: $i,SV136: $i,SV94: $i,SV51: $i,SV8: $i] :
( ( ( coll @ SV8 @ SV51 @ SV94 )
= $true )
| ( ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
= $false )
| ( ( ~ ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(717,plain,
! [SV96: $i,SV138: $i,SV10: $i,SV53: $i] :
( ( ( ~ ( coll @ SV53 @ SV10 @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) ) )
= $false )
| ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
= $false )
| ( ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(718,plain,
! [SV96: $i,SV10: $i,SV53: $i,SV138: $i] :
( ( ( ~ ( coll @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) @ SV96 @ SV138 ) )
= $false )
| ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
= $false )
| ( ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[702]) ).
thf(719,plain,
! [SV54: $i,SV97: $i,SV11: $i] :
( ( ( coll @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) )
= $true )
| ( ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
= $false )
| ( ( perp @ SV11 @ SV97 @ SV97 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[703]) ).
thf(720,plain,
! [SV54: $i,SV11: $i,SV97: $i] :
( ( ( cong @ SV97 @ SV11 @ SV97 @ ( sK9_SY627 @ SV54 @ SV11 @ SV97 ) )
= $true )
| ( ( cong @ SV97 @ SV11 @ SV97 @ SV54 )
= $false )
| ( ( perp @ SV11 @ SV97 @ SV97 @ SV54 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[704]) ).
thf(721,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ( ~ ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) ) )
= $false )
| ( ( ~ ( coll @ SV139 @ SV12 @ SV55 ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(722,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
| ~ ( coll @ SV173 @ SV58 @ SV142 ) )
= $true )
| ( ( ~ ( coll @ SV192 @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[707]) ).
thf(723,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ( ~ ( perp @ SV16 @ SV59 @ SV16 @ SV102 ) )
= $true )
| ( ( ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) )
= $true )
| ( ( ~ ( midp @ SV174 @ SV59 @ SV143 ) )
= $true )
| ( ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[708]) ).
thf(724,plain,
! [SV19: $i,SV105: $i,SV62: $i,SV146: $i,SV176: $i] :
( ( ( ~ ( coll @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV146 @ SV176 )
| ~ ( perp @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV19 @ SV146 @ SV176 ) )
= $false )
| ( ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
= $false )
| ( ( coll @ SV62 @ SV146 @ SV176 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[709]) ).
thf(725,plain,
! [SV179: $i,SV196: $i,SV150: $i,SV68: $i,SV111: $i,SV25: $i] :
( ( ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 )
= $false )
| ( ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 )
= $false )
| ( ( ~ ~ ( coll @ SV25 @ SV68 @ SV111 ) )
= $true )
| ( ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[710]) ).
thf(726,plain,
! [SV115: $i,SV154: $i,SV29: $i,SV72: $i] :
( ( ( ~ ( coll @ SV72 @ SV29 @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) ) )
= $false )
| ( ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
= $false )
| ( ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(727,plain,
! [SV115: $i,SV154: $i,SV29: $i,SV72: $i] :
( ( ( ~ ( coll @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) @ SV115 @ SV154 ) )
= $false )
| ( ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
= $false )
| ( ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[711]) ).
thf(728,plain,
! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV214: $i,SV207: $i,SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SV214 )
| ~ ( eqangle @ SV182 @ SV199 @ SV207 @ SV214 @ SV216 @ SV217 @ SV218 @ SV219 ) )
= $true )
| ( ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV216 @ SV217 @ SV218 @ SV219 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(729,plain,
! [SV120: $i,SV77: $i,SV34: $i,SV157: $i] :
( ( ( ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV34 @ SV77 ) )
= $false )
| ( ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
= $false )
| ( ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(730,plain,
! [SV120: $i,SV77: $i,SV34: $i,SV157: $i] :
( ( ( ~ ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV120 @ SV157 ) )
= $false )
| ( ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
= $false )
| ( ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[713]) ).
thf(731,plain,
! [SV124: $i,SV160: $i,SV38: $i,SV81: $i] :
( ( ( ~ ( coll @ SV81 @ SV38 @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) ) )
= $false )
| ( ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
= $false )
| ( ( cong @ SV124 @ SV38 @ SV124 @ SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(732,plain,
! [SV124: $i,SV160: $i,SV38: $i,SV81: $i] :
( ( ( ~ ( coll @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) @ SV124 @ SV160 ) )
= $false )
| ( ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
= $false )
| ( ( cong @ SV124 @ SV38 @ SV124 @ SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[714]) ).
thf(733,plain,
! [SV88: $i,SV2: $i,SV131: $i,SV45: $i] :
( ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(734,plain,
! [SV136: $i,SV169: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
| ~ ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) )
= $false )
| ( ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
= $false )
| ( ( coll @ SV8 @ SV51 @ SV94 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[716]) ).
thf(735,plain,
! [SV96: $i,SV138: $i,SV10: $i,SV53: $i] :
( ( ( coll @ SV53 @ SV10 @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) )
= $true )
| ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
= $false )
| ( ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[717]) ).
thf(736,plain,
! [SV96: $i,SV10: $i,SV53: $i,SV138: $i] :
( ( ( coll @ ( sK11_SY720 @ SV138 @ SV53 @ SV10 @ SV96 ) @ SV96 @ SV138 )
= $true )
| ( ( cong @ SV96 @ SV10 @ SV96 @ SV53 )
= $false )
| ( ( eqangle @ SV10 @ SV96 @ SV96 @ SV138 @ SV96 @ SV138 @ SV96 @ SV53 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[718]) ).
thf(737,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
| ~ ( coll @ SV98 @ SV12 @ SV55 ) )
= $true )
| ( ( ~ ( coll @ SV139 @ SV12 @ SV55 ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[721]) ).
thf(738,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( ~ ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) ) )
= $true )
| ( ( ~ ( coll @ SV173 @ SV58 @ SV142 ) )
= $true )
| ( ( ~ ( coll @ SV192 @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[722]) ).
thf(739,plain,
! [SV174: $i,SV143: $i,SV102: $i,SV59: $i,SV16: $i] :
( ( ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
= $false )
| ( ( ~ ( perp @ SV102 @ SV16 @ SV102 @ SV143 ) )
= $true )
| ( ( ~ ( midp @ SV174 @ SV59 @ SV143 ) )
= $true )
| ( ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[723]) ).
thf(740,plain,
! [SV19: $i,SV105: $i,SV62: $i,SV146: $i,SV176: $i] :
( ( ( ~ ( coll @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV146 @ SV176 ) )
= $false )
| ( ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
= $false )
| ( ( coll @ SV62 @ SV146 @ SV176 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(741,plain,
! [SV19: $i,SV105: $i,SV62: $i,SV146: $i,SV176: $i] :
( ( ( ~ ( perp @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV19 @ SV146 @ SV176 ) )
= $false )
| ( ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
= $false )
| ( ( coll @ SV62 @ SV146 @ SV176 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[724]) ).
thf(742,plain,
! [SV196: $i,SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ( ~ ( coll @ SV25 @ SV68 @ SV111 ) )
= $false )
| ( ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 )
= $false )
| ( ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 )
= $false )
| ( ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[725]) ).
thf(743,plain,
! [SV115: $i,SV154: $i,SV29: $i,SV72: $i] :
( ( ( coll @ SV72 @ SV29 @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) )
= $true )
| ( ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
= $false )
| ( ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(744,plain,
! [SV115: $i,SV154: $i,SV29: $i,SV72: $i] :
( ( ( coll @ ( sK12_SY754 @ SV72 @ SV29 @ SV154 @ SV115 ) @ SV115 @ SV154 )
= $true )
| ( ( perp @ SV115 @ SV154 @ SV29 @ SV72 )
= $false )
| ( ( eqangle @ SV29 @ SV115 @ SV115 @ SV154 @ SV115 @ SV154 @ SV115 @ SV72 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[727]) ).
thf(745,plain,
! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV214: $i,SV207: $i,SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ( ~ ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SV214 ) )
= $true )
| ( ( ~ ( eqangle @ SV182 @ SV199 @ SV207 @ SV214 @ SV216 @ SV217 @ SV218 @ SV219 ) )
= $true )
| ( ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV216 @ SV217 @ SV218 @ SV219 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[728]) ).
thf(746,plain,
! [SV120: $i,SV77: $i,SV34: $i,SV157: $i] :
( ( ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV34 @ SV77 )
= $true )
| ( ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
= $false )
| ( ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[729]) ).
thf(747,plain,
! [SV120: $i,SV77: $i,SV34: $i,SV157: $i] :
( ( ( coll @ ( sK14_SY764 @ SV157 @ SV34 @ SV77 @ SV120 ) @ SV120 @ SV157 )
= $true )
| ( ( perp @ SV120 @ SV77 @ SV77 @ SV34 )
= $false )
| ( ( eqangle @ SV157 @ SV120 @ SV77 @ SV120 @ SV77 @ SV120 @ SV34 @ SV120 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[730]) ).
thf(748,plain,
! [SV124: $i,SV160: $i,SV38: $i,SV81: $i] :
( ( ( coll @ SV81 @ SV38 @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) )
= $true )
| ( ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
= $false )
| ( ( cong @ SV124 @ SV38 @ SV124 @ SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[731]) ).
thf(749,plain,
! [SV124: $i,SV160: $i,SV38: $i,SV81: $i] :
( ( ( coll @ ( sK15_SY766 @ SV81 @ SV38 @ SV160 @ SV124 ) @ SV124 @ SV160 )
= $true )
| ( ( perp @ SV124 @ SV160 @ SV38 @ SV81 )
= $false )
| ( ( cong @ SV124 @ SV38 @ SV124 @ SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(750,plain,
! [SV2: $i,SV131: $i,SV45: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
| ~ ( perp @ SV45 @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
= $false )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(751,plain,
! [SV136: $i,SV169: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ( ~ ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) )
= $false )
| ( ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
= $false )
| ( ( coll @ SV8 @ SV51 @ SV94 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(752,plain,
! [SV8: $i,SV169: $i,SV94: $i,SV51: $i,SV136: $i] :
( ( ( ~ ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) ) )
= $false )
| ( ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
= $false )
| ( ( coll @ SV8 @ SV51 @ SV94 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[734]) ).
thf(753,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ( ~ ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) ) )
= $true )
| ( ( ~ ( coll @ SV98 @ SV12 @ SV55 ) )
= $true )
| ( ( ~ ( coll @ SV139 @ SV12 @ SV55 ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[737]) ).
thf(754,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( ~ ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) ) )
= $false )
| ( ( ~ ( coll @ SV173 @ SV58 @ SV142 ) )
= $true )
| ( ( ~ ( coll @ SV192 @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[738]) ).
thf(755,plain,
! [SV174: $i,SV59: $i,SV143: $i,SV16: $i,SV102: $i] :
( ( ( perp @ SV102 @ SV16 @ SV102 @ SV143 )
= $false )
| ( ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
= $false )
| ( ( ~ ( midp @ SV174 @ SV59 @ SV143 ) )
= $true )
| ( ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[739]) ).
thf(756,plain,
! [SV19: $i,SV105: $i,SV62: $i,SV146: $i,SV176: $i] :
( ( ( coll @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV146 @ SV176 )
= $true )
| ( ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
= $false )
| ( ( coll @ SV62 @ SV146 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[740]) ).
thf(757,plain,
! [SV19: $i,SV105: $i,SV62: $i,SV146: $i,SV176: $i] :
( ( ( perp @ ( sK18_SY791 @ SV176 @ SV146 @ SV62 @ SV105 @ SV19 ) @ SV19 @ SV146 @ SV176 )
= $true )
| ( ( perp @ SV19 @ SV105 @ SV105 @ SV62 )
= $false )
| ( ( coll @ SV62 @ SV146 @ SV176 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[741]) ).
thf(758,plain,
! [SV196: $i,SV179: $i,SV150: $i,SV111: $i,SV68: $i,SV25: $i] :
( ( ( coll @ SV25 @ SV68 @ SV111 )
= $true )
| ( ( eqangle @ SV25 @ SV68 @ SV68 @ SV111 @ SV150 @ SV179 @ SV179 @ SV196 )
= $false )
| ( ( eqangle @ SV25 @ SV111 @ SV68 @ SV111 @ SV150 @ SV196 @ SV179 @ SV196 )
= $false )
| ( ( simtri @ SV25 @ SV68 @ SV111 @ SV150 @ SV179 @ SV196 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(759,plain,
! [SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV214: $i,SV207: $i,SV199: $i,SV182: $i,SV156: $i,SV119: $i,SV76: $i,SV33: $i] :
( ( ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SV214 )
= $false )
| ( ( ~ ( eqangle @ SV182 @ SV199 @ SV207 @ SV214 @ SV216 @ SV217 @ SV218 @ SV219 ) )
= $true )
| ( ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV216 @ SV217 @ SV218 @ SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(760,plain,
! [SV2: $i,SV131: $i,SV45: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) ) )
= $false )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(761,plain,
! [SV2: $i,SV131: $i,SV88: $i,SV45: $i] :
( ( ( ~ ( perp @ SV45 @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
= $false )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[750]) ).
thf(762,plain,
! [SV136: $i,SV169: $i,SV51: $i,SV94: $i,SV8: $i] :
( ( ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) @ SV51 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
= $true )
| ( ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
= $false )
| ( ( coll @ SV8 @ SV51 @ SV94 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(763,plain,
! [SV8: $i,SV169: $i,SV94: $i,SV51: $i,SV136: $i] :
( ( ( cyclic @ SV136 @ SV51 @ SV94 @ ( sK16_SY779 @ SV169 @ SV136 @ SV51 @ SV94 @ SV8 ) )
= $true )
| ( ( eqangle @ SV8 @ SV94 @ SV51 @ SV94 @ SV8 @ SV136 @ SV51 @ SV169 )
= $false )
| ( ( coll @ SV8 @ SV51 @ SV94 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[752]) ).
thf(764,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ( ~ ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) ) )
= $false )
| ( ( ~ ( coll @ SV98 @ SV12 @ SV55 ) )
= $true )
| ( ( ~ ( coll @ SV139 @ SV12 @ SV55 ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(765,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 )
| ~ ( coll @ SV173 @ SV15 @ SV101 ) )
= $true )
| ( ( ~ ( coll @ SV173 @ SV58 @ SV142 ) )
= $true )
| ( ( ~ ( coll @ SV192 @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(766,plain,
! [SV102: $i,SV16: $i,SV143: $i,SV59: $i,SV174: $i] :
( ( ( midp @ SV174 @ SV59 @ SV143 )
= $false )
| ( ( perp @ SV16 @ SV59 @ SV16 @ SV102 )
= $false )
| ( ( perp @ SV102 @ SV16 @ SV102 @ SV143 )
= $false )
| ( ( midp @ ( sK17_SY789 @ SV174 @ SV143 @ SV102 @ SV59 @ SV16 ) @ SV16 @ SV102 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[755]) ).
thf(767,plain,
! [SV156: $i,SV119: $i,SV76: $i,SV33: $i,SV219: $i,SV218: $i,SV217: $i,SV216: $i,SV214: $i,SV207: $i,SV199: $i,SV182: $i] :
( ( ( eqangle @ SV182 @ SV199 @ SV207 @ SV214 @ SV216 @ SV217 @ SV218 @ SV219 )
= $false )
| ( ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV182 @ SV199 @ SV207 @ SV214 )
= $false )
| ( ( eqangle @ SV33 @ SV76 @ SV119 @ SV156 @ SV216 @ SV217 @ SV218 @ SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[759]) ).
thf(768,plain,
! [SV2: $i,SV131: $i,SV45: $i,SV88: $i] :
( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) ) )
= $true )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[760]) ).
thf(769,plain,
! [SV2: $i,SV131: $i,SV88: $i,SV45: $i] :
( ( ( perp @ SV45 @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 )
= $true )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[761]) ).
thf(770,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ( ~ ( midp @ SV170 @ SV12 @ SV55 )
| ~ ( midp @ SV189 @ SV98 @ SV139 ) )
= $true )
| ( ( ~ ( coll @ SV98 @ SV12 @ SV55 ) )
= $true )
| ( ( ~ ( coll @ SV139 @ SV12 @ SV55 ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(771,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( ~ ( para @ SV15 @ SV58 @ SV101 @ SV142 ) )
= $true )
| ( ( ~ ( coll @ SV173 @ SV15 @ SV101 ) )
= $true )
| ( ( ~ ( coll @ SV173 @ SV58 @ SV142 ) )
= $true )
| ( ( ~ ( coll @ SV192 @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[765]) ).
thf(772,plain,
! [SV2: $i,SV131: $i,SV45: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
| ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
= $false )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[768]) ).
thf(773,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ( ~ ( midp @ SV170 @ SV12 @ SV55 ) )
= $true )
| ( ( ~ ( midp @ SV189 @ SV98 @ SV139 ) )
= $true )
| ( ( ~ ( coll @ SV98 @ SV12 @ SV55 ) )
= $true )
| ( ( ~ ( coll @ SV139 @ SV12 @ SV55 ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[770]) ).
thf(774,plain,
! [SV192: $i,SV173: $i,SV142: $i,SV101: $i,SV58: $i,SV15: $i] :
( ( ( para @ SV15 @ SV58 @ SV101 @ SV142 )
= $false )
| ( ( ~ ( coll @ SV173 @ SV15 @ SV101 ) )
= $true )
| ( ( ~ ( coll @ SV173 @ SV58 @ SV142 ) )
= $true )
| ( ( ~ ( coll @ SV192 @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(775,plain,
! [SV2: $i,SV131: $i,SV45: $i,SV88: $i] :
( ( ( ~ ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) ) )
= $false )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(776,plain,
! [SV2: $i,SV131: $i,SV45: $i,SV88: $i] :
( ( ( ~ ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 ) )
= $false )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(777,plain,
! [SV203: $i,SV139: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV170: $i] :
( ( ( midp @ SV170 @ SV12 @ SV55 )
= $false )
| ( ( ~ ( midp @ SV189 @ SV98 @ SV139 ) )
= $true )
| ( ( ~ ( coll @ SV98 @ SV12 @ SV55 ) )
= $true )
| ( ( ~ ( coll @ SV139 @ SV12 @ SV55 ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(778,plain,
! [SV192: $i,SV142: $i,SV58: $i,SV101: $i,SV15: $i,SV173: $i] :
( ( ( coll @ SV173 @ SV15 @ SV101 )
= $false )
| ( ( para @ SV15 @ SV58 @ SV101 @ SV142 )
= $false )
| ( ( ~ ( coll @ SV173 @ SV58 @ SV142 ) )
= $true )
| ( ( ~ ( coll @ SV192 @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(779,plain,
! [SV2: $i,SV131: $i,SV45: $i,SV88: $i] :
( ( ( ~ ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) ) )
= $true )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[775]) ).
thf(780,plain,
! [SV2: $i,SV131: $i,SV45: $i,SV88: $i] :
( ( ( coll @ ( sK20_SY811 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV2 )
= $true )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[776]) ).
thf(781,plain,
! [SV203: $i,SV55: $i,SV12: $i,SV170: $i,SV139: $i,SV98: $i,SV189: $i] :
( ( ( midp @ SV189 @ SV98 @ SV139 )
= $false )
| ( ( midp @ SV170 @ SV12 @ SV55 )
= $false )
| ( ( ~ ( coll @ SV98 @ SV12 @ SV55 ) )
= $true )
| ( ( ~ ( coll @ SV139 @ SV12 @ SV55 ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[777]) ).
thf(782,plain,
! [SV192: $i,SV101: $i,SV15: $i,SV142: $i,SV58: $i,SV173: $i] :
( ( ( coll @ SV173 @ SV58 @ SV142 )
= $false )
| ( ( para @ SV15 @ SV58 @ SV101 @ SV142 )
= $false )
| ( ( coll @ SV173 @ SV15 @ SV101 )
= $false )
| ( ( ~ ( coll @ SV192 @ SV15 @ SV58 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[778]) ).
thf(783,plain,
! [SV2: $i,SV131: $i,SV45: $i,SV88: $i] :
( ( ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
| ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
= $false )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[779]) ).
thf(784,plain,
! [SV203: $i,SV139: $i,SV189: $i,SV170: $i,SV55: $i,SV12: $i,SV98: $i] :
( ( ( coll @ SV98 @ SV12 @ SV55 )
= $false )
| ( ( midp @ SV170 @ SV12 @ SV55 )
= $false )
| ( ( midp @ SV189 @ SV98 @ SV139 )
= $false )
| ( ( ~ ( coll @ SV139 @ SV12 @ SV55 ) )
= $true )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[781]) ).
thf(785,plain,
! [SV142: $i,SV101: $i,SV173: $i,SV58: $i,SV15: $i,SV192: $i] :
( ( ( coll @ SV192 @ SV15 @ SV58 )
= $false )
| ( ( coll @ SV173 @ SV15 @ SV101 )
= $false )
| ( ( para @ SV15 @ SV58 @ SV101 @ SV142 )
= $false )
| ( ( coll @ SV173 @ SV58 @ SV142 )
= $false )
| ( ( ~ ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[782]) ).
thf(786,plain,
! [SV2: $i,SV131: $i,SV45: $i,SV88: $i] :
( ( ( ~ ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
= $false )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(787,plain,
! [SV131: $i,SV45: $i,SV88: $i,SV2: $i] :
( ( ( ~ ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 ) )
= $false )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(788,plain,
! [SV203: $i,SV170: $i,SV98: $i,SV189: $i,SV55: $i,SV12: $i,SV139: $i] :
( ( ( coll @ SV139 @ SV12 @ SV55 )
= $false )
| ( ( midp @ SV189 @ SV98 @ SV139 )
= $false )
| ( ( midp @ SV170 @ SV12 @ SV55 )
= $false )
| ( ( coll @ SV98 @ SV12 @ SV55 )
= $false )
| ( ( midp @ ( sK21_SY835 @ SV203 @ SV139 @ SV98 @ SV189 @ SV55 @ SV12 @ SV170 ) @ SV12 @ SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[784]) ).
thf(789,plain,
! [SV15: $i,SV58: $i,SV101: $i,SV142: $i,SV192: $i,SV173: $i] :
( ( ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
| ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) )
= $false )
| ( ( coll @ SV173 @ SV58 @ SV142 )
= $false )
| ( ( para @ SV15 @ SV58 @ SV101 @ SV142 )
= $false )
| ( ( coll @ SV173 @ SV15 @ SV101 )
= $false )
| ( ( coll @ SV192 @ SV15 @ SV58 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(790,plain,
! [SV2: $i,SV131: $i,SV45: $i,SV88: $i] :
( ( ( coll @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
= $true )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[786]) ).
thf(791,plain,
! [SV131: $i,SV45: $i,SV88: $i,SV2: $i] :
( ( ( perp @ SV2 @ ( sK10_SY706 @ SV88 @ SV45 @ SV131 @ SV2 ) @ SV88 @ SV45 )
= $true )
| ( ( perp @ SV2 @ SV131 @ SV45 @ SV88 )
= $false )
| ( ( perp @ SV45 @ SV131 @ SV2 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(792,plain,
! [SV15: $i,SV58: $i,SV101: $i,SV142: $i,SV192: $i,SV173: $i] :
( ( ( ~ ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) ) )
= $false )
| ( ( coll @ SV173 @ SV58 @ SV142 )
= $false )
| ( ( para @ SV15 @ SV58 @ SV101 @ SV142 )
= $false )
| ( ( coll @ SV173 @ SV15 @ SV101 )
= $false )
| ( ( coll @ SV192 @ SV15 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[789]) ).
thf(793,plain,
! [SV15: $i,SV58: $i,SV101: $i,SV142: $i,SV173: $i,SV192: $i] :
( ( ( ~ ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 ) )
= $false )
| ( ( coll @ SV173 @ SV58 @ SV142 )
= $false )
| ( ( para @ SV15 @ SV58 @ SV101 @ SV142 )
= $false )
| ( ( coll @ SV173 @ SV15 @ SV101 )
= $false )
| ( ( coll @ SV192 @ SV15 @ SV58 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[789]) ).
thf(794,plain,
! [SV15: $i,SV58: $i,SV101: $i,SV142: $i,SV192: $i,SV173: $i] :
( ( ( coll @ SV173 @ SV192 @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) )
= $true )
| ( ( coll @ SV173 @ SV58 @ SV142 )
= $false )
| ( ( para @ SV15 @ SV58 @ SV101 @ SV142 )
= $false )
| ( ( coll @ SV173 @ SV15 @ SV101 )
= $false )
| ( ( coll @ SV192 @ SV15 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(795,plain,
! [SV15: $i,SV58: $i,SV101: $i,SV142: $i,SV173: $i,SV192: $i] :
( ( ( coll @ ( sK19_SY820 @ SV192 @ SV173 @ SV142 @ SV101 @ SV58 @ SV15 ) @ SV101 @ SV142 )
= $true )
| ( ( coll @ SV173 @ SV58 @ SV142 )
= $false )
| ( ( para @ SV15 @ SV58 @ SV101 @ SV142 )
= $false )
| ( ( coll @ SV173 @ SV15 @ SV101 )
= $false )
| ( ( coll @ SV192 @ SV15 @ SV58 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(796,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[204,795,794,791,790,788,780,769,767,766,763,762,758,757,756,749,748,747,746,744,743,736,735,720,719,706,700,678,673,666,665,664,662,661,644,640,633,632,631,629,618,616,614,603,565,561,551,495,489,481,465,461,460,454,436,258,213,212,211,210,209,208,207,206,205]) ).
thf(797,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[796]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO620+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
% 0.06/0.18 % Computer : n001.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Tue Oct 6 10:26:48 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.67/0.84
% 3.67/0.84 No.of.Axioms: 43
% 3.67/0.84
% 3.67/0.84 Length.of.Defs: 0
% 3.67/0.84
% 3.67/0.84 Contains.Choice.Funs: false
% 3.67/0.84 .............................................
% 3.67/0.84
% 3.67/0.84 ********************************
% 3.67/0.84 * All subproblems solved! *
% 3.67/0.84 ********************************
% 3.67/0.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:53,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:796,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.67/0.84
% 3.67/0.84 %**** Beginning of derivation protocol ****
% 3.67/0.84 % SZS output start CNFRefutation
% See solution above
% 3.67/0.84
% 3.67/0.84 %**** End of derivation protocol ****
% 3.67/0.84 %**** no. of clauses in derivation: 746 ****
% 3.67/0.84 %**** clause counter: 796 ****
% 3.67/0.84
% 3.67/0.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:53,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:796,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------