%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : GEO566+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 : n020.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 10:19:10 AM UTC 2026
% Result : Theorem 4.83s 1.13s
% Output : CNFRefutation 4.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 23
% Syntax : Number of formulae : 425 ( 233 unt; 0 typ; 0 def)
% Number of atoms : 3014 ( 720 equ; 0 cnn)
% Maximal formula atoms : 11 ( 7 avg)
% Number of connectives : 9683 (1646 ~; 886 |; 186 &;6888 @)
% ( 0 <=>; 77 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 33 ( 30 usr; 10 con; 0-8 aty)
% Number of variables : 1984 ( 0 ^;1951 !; 33 ?;1984 :)
% 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_SY346,type,
sK10_SY346: $i > $i > $i > $i > $i ).
thf(tp_sK11_SY353,type,
sK11_SY353: $i > $i > $i > $i > $i ).
thf(tp_sK12_SY355,type,
sK12_SY355: $i > $i > $i > $i > $i ).
thf(tp_sK13_SY356,type,
sK13_SY356: $i > $i > $i > $i > $i ).
thf(tp_sK14_SY362,type,
sK14_SY362: $i > $i > $i > $i > $i ).
thf(tp_sK15_SY365,type,
sK15_SY365: $i > $i > $i > $i > $i > $i ).
thf(tp_sK16_SY375,type,
sK16_SY375: $i > $i > $i > $i > $i > $i ).
thf(tp_sK17_SY382,type,
sK17_SY382: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK18_SY384,type,
sK18_SY384: $i > $i > $i > $i > $i > $i > $i > $i ).
thf(tp_sK19_SY381,type,
sK19_SY381: $i > $i > $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY117,type,
sK2_SY117: $i ).
thf(tp_sK3_SY124,type,
sK3_SY124: $i ).
thf(tp_sK4_SY130,type,
sK4_SY130: $i ).
thf(tp_sK5_SY135,type,
sK5_SY135: $i ).
thf(tp_sK6_SY139,type,
sK6_SY139: $i ).
thf(tp_sK7_SY142,type,
sK7_SY142: $i ).
thf(tp_sK8_SY144,type,
sK8_SY144: $i ).
thf(tp_sK9_SY334,type,
sK9_SY334: $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(15,axiom,
! [A: $i,B: $i,O: $i,X: $i] :
? [M: $i] :
( ( ( perp @ O @ X @ A @ B )
& ( cong @ O @ A @ O @ B ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ M @ O @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX4) ).
thf(16,axiom,
! [A: $i,B: $i,O: $i,X: $i] :
? [M: $i] :
( ( ( perp @ O @ X @ A @ B )
& ( eqangle @ A @ O @ O @ X @ O @ X @ O @ B ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ M @ O @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX3) ).
thf(18,axiom,
! [A: $i,M: $i,O: $i,X: $i] :
? [B: $i] :
( ( ( perp @ O @ M @ M @ A )
& ( eqangle @ X @ O @ M @ O @ M @ O @ A @ O ) )
=> ( ( coll @ B @ A @ M )
& ( coll @ B @ O @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX1) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i,D: $i,P: $i,Q: $i,U: $i,V: $i] :
( ( ( eqangle @ A @ B @ C @ D @ P @ Q @ U @ V )
& ( perp @ P @ Q @ U @ V ) )
=> ( perp @ A @ B @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD74) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( coll @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i] :
( ( para @ A @ B @ A @ C )
=> ( coll @ A @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD66) ).
thf(38,axiom,
! [A: $i,B: $i,P: $i,Q: $i] :
( ( ( cong @ A @ P @ B @ P )
& ( cong @ A @ Q @ B @ Q ) )
=> ( perp @ A @ B @ P @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).
thf(41,axiom,
! [A: $i,B: $i,C: $i,O: $i] :
( ( ( circle @ O @ A @ B @ C )
& ( coll @ O @ A @ C ) )
=> ( perp @ A @ B @ B @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD53) ).
thf(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,F: $i,H: $i,T: $i,Q: $i,P: $i] :
( ( ( perp @ F @ C @ A @ B )
& ( coll @ F @ A @ B )
& ( perp @ B @ C @ A @ H )
& ( perp @ A @ C @ B @ H )
& ( perp @ T @ F @ B @ C )
& ( coll @ T @ B @ C )
& ( perp @ Q @ F @ A @ H )
& ( coll @ Q @ A @ H )
& ( perp @ P @ F @ A @ C )
& ( coll @ P @ A @ C ) )
=> ( coll @ P @ Q @ T ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214028) ).
thf(96,negated_conjecture,
( ( ! [A: $i,B: $i,C: $i,F: $i,H: $i,T: $i,Q: $i,P: $i] :
( ( ( perp @ F @ C @ A @ B )
& ( coll @ F @ A @ B )
& ( perp @ B @ C @ A @ H )
& ( perp @ A @ C @ B @ H )
& ( perp @ T @ F @ B @ C )
& ( coll @ T @ B @ C )
& ( perp @ Q @ F @ A @ H )
& ( coll @ Q @ A @ H )
& ( perp @ P @ F @ A @ C )
& ( coll @ P @ A @ C ) )
=> ( coll @ P @ Q @ T ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[95]) ).
thf(97,plain,
( ( ! [A: $i,B: $i,C: $i,F: $i,H: $i,T: $i,Q: $i,P: $i] :
( ( ( perp @ F @ C @ A @ B )
& ( coll @ F @ A @ B )
& ( perp @ B @ C @ A @ H )
& ( perp @ A @ C @ B @ H )
& ( perp @ T @ F @ B @ C )
& ( coll @ T @ B @ C )
& ( perp @ Q @ F @ A @ H )
& ( coll @ Q @ A @ H )
& ( perp @ P @ F @ A @ C )
& ( coll @ P @ A @ C ) )
=> ( coll @ P @ Q @ T ) ) )
= $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,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(106,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(107,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(108,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(109,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(110,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( para @ A @ B @ A @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(111,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(112,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(113,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(114,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(115,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(116,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(117,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(118,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ B @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(119,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ A @ C @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(120,plain,
( ( ! [SY117: $i,SY118: $i,SY119: $i,SY120: $i,SY121: $i,SY122: $i,SY123: $i] :
( ( ( perp @ SY119 @ SY118 @ sK1_A @ SY117 )
& ( coll @ SY119 @ sK1_A @ SY117 )
& ( perp @ SY117 @ SY118 @ sK1_A @ SY120 )
& ( perp @ sK1_A @ SY118 @ SY117 @ SY120 )
& ( perp @ SY121 @ SY119 @ SY117 @ SY118 )
& ( coll @ SY121 @ SY117 @ SY118 )
& ( perp @ SY122 @ SY119 @ sK1_A @ SY120 )
& ( coll @ SY122 @ sK1_A @ SY120 )
& ( perp @ SY123 @ SY119 @ sK1_A @ SY118 )
& ( coll @ SY123 @ sK1_A @ SY118 ) )
=> ( coll @ SY123 @ SY122 @ SY121 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[97]) ).
thf(121,plain,
( ( ! [SY124: $i,SY125: $i,SY126: $i,SY127: $i,SY128: $i,SY129: $i] :
( ( ( perp @ SY125 @ SY124 @ sK1_A @ sK2_SY117 )
& ( coll @ SY125 @ sK1_A @ sK2_SY117 )
& ( perp @ sK2_SY117 @ SY124 @ sK1_A @ SY126 )
& ( perp @ sK1_A @ SY124 @ sK2_SY117 @ SY126 )
& ( perp @ SY127 @ SY125 @ sK2_SY117 @ SY124 )
& ( coll @ SY127 @ sK2_SY117 @ SY124 )
& ( perp @ SY128 @ SY125 @ sK1_A @ SY126 )
& ( coll @ SY128 @ sK1_A @ SY126 )
& ( perp @ SY129 @ SY125 @ sK1_A @ SY124 )
& ( coll @ SY129 @ sK1_A @ SY124 ) )
=> ( coll @ SY129 @ SY128 @ SY127 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[120]) ).
thf(122,plain,
( ( ! [SY130: $i,SY131: $i,SY132: $i,SY133: $i,SY134: $i] :
( ( ( perp @ SY130 @ sK3_SY124 @ sK1_A @ sK2_SY117 )
& ( coll @ SY130 @ sK1_A @ sK2_SY117 )
& ( perp @ sK2_SY117 @ sK3_SY124 @ sK1_A @ SY131 )
& ( perp @ sK1_A @ sK3_SY124 @ sK2_SY117 @ SY131 )
& ( perp @ SY132 @ SY130 @ sK2_SY117 @ sK3_SY124 )
& ( coll @ SY132 @ sK2_SY117 @ sK3_SY124 )
& ( perp @ SY133 @ SY130 @ sK1_A @ SY131 )
& ( coll @ SY133 @ sK1_A @ SY131 )
& ( perp @ SY134 @ SY130 @ sK1_A @ sK3_SY124 )
& ( coll @ SY134 @ sK1_A @ sK3_SY124 ) )
=> ( coll @ SY134 @ SY133 @ SY132 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[121]) ).
thf(123,plain,
( ( ! [SY135: $i,SY136: $i,SY137: $i,SY138: $i] :
( ( ( perp @ sK4_SY130 @ sK3_SY124 @ sK1_A @ sK2_SY117 )
& ( coll @ sK4_SY130 @ sK1_A @ sK2_SY117 )
& ( perp @ sK2_SY117 @ sK3_SY124 @ sK1_A @ SY135 )
& ( perp @ sK1_A @ sK3_SY124 @ sK2_SY117 @ SY135 )
& ( perp @ SY136 @ sK4_SY130 @ sK2_SY117 @ sK3_SY124 )
& ( coll @ SY136 @ sK2_SY117 @ sK3_SY124 )
& ( perp @ SY137 @ sK4_SY130 @ sK1_A @ SY135 )
& ( coll @ SY137 @ sK1_A @ SY135 )
& ( perp @ SY138 @ sK4_SY130 @ sK1_A @ sK3_SY124 )
& ( coll @ SY138 @ sK1_A @ sK3_SY124 ) )
=> ( coll @ SY138 @ SY137 @ SY136 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(124,plain,
( ( ! [SY139: $i,SY140: $i,SY141: $i] :
( ( ( perp @ sK4_SY130 @ sK3_SY124 @ sK1_A @ sK2_SY117 )
& ( coll @ sK4_SY130 @ sK1_A @ sK2_SY117 )
& ( perp @ sK2_SY117 @ sK3_SY124 @ sK1_A @ sK5_SY135 )
& ( perp @ sK1_A @ sK3_SY124 @ sK2_SY117 @ sK5_SY135 )
& ( perp @ SY139 @ sK4_SY130 @ sK2_SY117 @ sK3_SY124 )
& ( coll @ SY139 @ sK2_SY117 @ sK3_SY124 )
& ( perp @ SY140 @ sK4_SY130 @ sK1_A @ sK5_SY135 )
& ( coll @ SY140 @ sK1_A @ sK5_SY135 )
& ( perp @ SY141 @ sK4_SY130 @ sK1_A @ sK3_SY124 )
& ( coll @ SY141 @ sK1_A @ sK3_SY124 ) )
=> ( coll @ SY141 @ SY140 @ SY139 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[123]) ).
thf(125,plain,
( ( ! [SY142: $i,SY143: $i] :
( ( ( perp @ sK4_SY130 @ sK3_SY124 @ sK1_A @ sK2_SY117 )
& ( coll @ sK4_SY130 @ sK1_A @ sK2_SY117 )
& ( perp @ sK2_SY117 @ sK3_SY124 @ sK1_A @ sK5_SY135 )
& ( perp @ sK1_A @ sK3_SY124 @ sK2_SY117 @ sK5_SY135 )
& ( perp @ sK6_SY139 @ sK4_SY130 @ sK2_SY117 @ sK3_SY124 )
& ( coll @ sK6_SY139 @ sK2_SY117 @ sK3_SY124 )
& ( perp @ SY142 @ sK4_SY130 @ sK1_A @ sK5_SY135 )
& ( coll @ SY142 @ sK1_A @ sK5_SY135 )
& ( perp @ SY143 @ sK4_SY130 @ sK1_A @ sK3_SY124 )
& ( coll @ SY143 @ sK1_A @ sK3_SY124 ) )
=> ( coll @ SY143 @ SY142 @ sK6_SY139 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[124]) ).
thf(126,plain,
( ( ! [SY144: $i] :
( ( ( perp @ sK4_SY130 @ sK3_SY124 @ sK1_A @ sK2_SY117 )
& ( coll @ sK4_SY130 @ sK1_A @ sK2_SY117 )
& ( perp @ sK2_SY117 @ sK3_SY124 @ sK1_A @ sK5_SY135 )
& ( perp @ sK1_A @ sK3_SY124 @ sK2_SY117 @ sK5_SY135 )
& ( perp @ sK6_SY139 @ sK4_SY130 @ sK2_SY117 @ sK3_SY124 )
& ( coll @ sK6_SY139 @ sK2_SY117 @ sK3_SY124 )
& ( perp @ sK7_SY142 @ sK4_SY130 @ sK1_A @ sK5_SY135 )
& ( coll @ sK7_SY142 @ sK1_A @ sK5_SY135 )
& ( perp @ SY144 @ sK4_SY130 @ sK1_A @ sK3_SY124 )
& ( coll @ SY144 @ sK1_A @ sK3_SY124 ) )
=> ( coll @ SY144 @ sK7_SY142 @ sK6_SY139 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[125]) ).
thf(127,plain,
( ( ( ( perp @ sK4_SY130 @ sK3_SY124 @ sK1_A @ sK2_SY117 )
& ( coll @ sK4_SY130 @ sK1_A @ sK2_SY117 )
& ( perp @ sK2_SY117 @ sK3_SY124 @ sK1_A @ sK5_SY135 )
& ( perp @ sK1_A @ sK3_SY124 @ sK2_SY117 @ sK5_SY135 )
& ( perp @ sK6_SY139 @ sK4_SY130 @ sK2_SY117 @ sK3_SY124 )
& ( coll @ sK6_SY139 @ sK2_SY117 @ sK3_SY124 )
& ( perp @ sK7_SY142 @ sK4_SY130 @ sK1_A @ sK5_SY135 )
& ( coll @ sK7_SY142 @ sK1_A @ sK5_SY135 )
& ( perp @ sK8_SY144 @ sK4_SY130 @ sK1_A @ sK3_SY124 )
& ( coll @ sK8_SY144 @ sK1_A @ sK3_SY124 ) )
=> ( coll @ sK8_SY144 @ sK7_SY142 @ sK6_SY139 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[126]) ).
thf(128,plain,
( ( perp @ sK4_SY130 @ sK3_SY124 @ sK1_A @ sK2_SY117 )
= $true ),
inference(standard_cnf,[status(thm)],[127]) ).
thf(129,plain,
( ( coll @ sK4_SY130 @ sK1_A @ sK2_SY117 )
= $true ),
inference(standard_cnf,[status(thm)],[127]) ).
thf(130,plain,
( ( perp @ sK2_SY117 @ sK3_SY124 @ sK1_A @ sK5_SY135 )
= $true ),
inference(standard_cnf,[status(thm)],[127]) ).
thf(131,plain,
( ( perp @ sK1_A @ sK3_SY124 @ sK2_SY117 @ sK5_SY135 )
= $true ),
inference(standard_cnf,[status(thm)],[127]) ).
thf(132,plain,
( ( perp @ sK6_SY139 @ sK4_SY130 @ sK2_SY117 @ sK3_SY124 )
= $true ),
inference(standard_cnf,[status(thm)],[127]) ).
thf(133,plain,
( ( coll @ sK6_SY139 @ sK2_SY117 @ sK3_SY124 )
= $true ),
inference(standard_cnf,[status(thm)],[127]) ).
thf(134,plain,
( ( perp @ sK7_SY142 @ sK4_SY130 @ sK1_A @ sK5_SY135 )
= $true ),
inference(standard_cnf,[status(thm)],[127]) ).
thf(135,plain,
( ( coll @ sK7_SY142 @ sK1_A @ sK5_SY135 )
= $true ),
inference(standard_cnf,[status(thm)],[127]) ).
thf(136,plain,
( ( perp @ sK8_SY144 @ sK4_SY130 @ sK1_A @ sK3_SY124 )
= $true ),
inference(standard_cnf,[status(thm)],[127]) ).
thf(137,plain,
( ( coll @ sK8_SY144 @ sK1_A @ sK3_SY124 )
= $true ),
inference(standard_cnf,[status(thm)],[127]) ).
thf(138,plain,
( ( coll @ sK8_SY144 @ sK7_SY142 @ sK6_SY139 )
= $false ),
inference(standard_cnf,[status(thm)],[127]) ).
thf(139,plain,
( ( ~ ( coll @ sK8_SY144 @ sK7_SY142 @ sK6_SY139 ) )
= $true ),
inference(polarity_switch,[status(thm)],[138]) ).
thf(140,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ A @ C @ B ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(141,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( coll @ A @ B @ C )
=> ( coll @ B @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(142,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)],[117]) ).
thf(143,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ A @ B @ D @ C ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(144,plain,
( ( ! [A: $i,B: $i,C: $i,D: $i] :
( ( perp @ A @ B @ C @ D )
=> ( perp @ C @ D @ A @ B ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(145,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)],[114]) ).
thf(146,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)],[113]) ).
thf(147,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)],[112]) ).
thf(148,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)],[111]) ).
thf(149,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( para @ A @ B @ A @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[110]) ).
thf(150,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( midp @ A @ B @ C )
=> ( coll @ A @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[109]) ).
thf(151,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)],[108]) ).
thf(152,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)],[107]) ).
thf(153,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)],[106]) ).
thf(154,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)],[105]) ).
thf(155,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(156,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(157,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(158,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(159,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(160,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(161,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(162,plain,
( ( coll @ sK8_SY144 @ sK1_A @ sK3_SY124 )
= $true ),
inference(copy,[status(thm)],[137]) ).
thf(163,plain,
( ( perp @ sK8_SY144 @ sK4_SY130 @ sK1_A @ sK3_SY124 )
= $true ),
inference(copy,[status(thm)],[136]) ).
thf(164,plain,
( ( coll @ sK7_SY142 @ sK1_A @ sK5_SY135 )
= $true ),
inference(copy,[status(thm)],[135]) ).
thf(165,plain,
( ( perp @ sK7_SY142 @ sK4_SY130 @ sK1_A @ sK5_SY135 )
= $true ),
inference(copy,[status(thm)],[134]) ).
thf(166,plain,
( ( coll @ sK6_SY139 @ sK2_SY117 @ sK3_SY124 )
= $true ),
inference(copy,[status(thm)],[133]) ).
thf(167,plain,
( ( perp @ sK6_SY139 @ sK4_SY130 @ sK2_SY117 @ sK3_SY124 )
= $true ),
inference(copy,[status(thm)],[132]) ).
thf(168,plain,
( ( perp @ sK1_A @ sK3_SY124 @ sK2_SY117 @ sK5_SY135 )
= $true ),
inference(copy,[status(thm)],[131]) ).
thf(169,plain,
( ( perp @ sK2_SY117 @ sK3_SY124 @ sK1_A @ sK5_SY135 )
= $true ),
inference(copy,[status(thm)],[130]) ).
thf(170,plain,
( ( coll @ sK4_SY130 @ sK1_A @ sK2_SY117 )
= $true ),
inference(copy,[status(thm)],[129]) ).
thf(171,plain,
( ( perp @ sK4_SY130 @ sK3_SY124 @ sK1_A @ sK2_SY117 )
= $true ),
inference(copy,[status(thm)],[128]) ).
thf(172,plain,
( ( ~ ( coll @ sK8_SY144 @ sK7_SY142 @ sK6_SY139 ) )
= $true ),
inference(copy,[status(thm)],[139]) ).
thf(173,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( para @ SX0 @ SX1 @ SX0 @ SX2 )
| ( coll @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(174,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)],[147]) ).
thf(175,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)],[158]) ).
thf(176,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)],[151]) ).
thf(177,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)],[154]) ).
thf(178,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)],[155]) ).
thf(179,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)],[146]) ).
thf(180,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)],[156]) ).
thf(181,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)],[153]) ).
thf(182,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)],[148]) ).
thf(183,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)],[157]) ).
thf(184,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)],[144]) ).
thf(185,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)],[142]) ).
thf(186,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)],[161]) ).
thf(187,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( midp @ SX0 @ SX1 @ SX2 )
| ( coll @ SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(188,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)],[143]) ).
thf(189,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)],[159]) ).
thf(190,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( coll @ SX0 @ SX1 @ SX2 )
| ( coll @ SX0 @ SX2 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(191,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)],[160]) ).
thf(192,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)],[152]) ).
thf(193,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( coll @ SX0 @ SX1 @ SX2 )
| ( coll @ SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(194,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)],[145]) ).
thf(195,plain,
( ( coll @ sK8_SY144 @ sK7_SY142 @ sK6_SY139 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(196,plain,
! [SV1: $i] :
( ( ! [SY145: $i,SY146: $i] :
( ~ ( para @ SV1 @ SY145 @ SV1 @ SY146 )
| ( coll @ SV1 @ SY145 @ SY146 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[173]) ).
thf(197,plain,
! [SV2: $i] :
( ( ! [SY147: $i,SY148: $i,SY149: $i] :
( ~ ~ ( ~ ( circle @ SY149 @ SV2 @ SY147 @ SY148 )
| ~ ( coll @ SY149 @ SV2 @ SY148 ) )
| ( perp @ SV2 @ SY147 @ SY147 @ SY148 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[174]) ).
thf(198,plain,
! [SV3: $i] :
( ( ! [SY150: $i,SY151: $i,SY152: $i,SY153: $i] :
~ ! [SY154: $i] :
~ ( ~ ~ ( ~ ( perp @ SV3 @ SY151 @ SY151 @ SY150 )
| ~ ( coll @ SY150 @ SY152 @ SY153 ) )
| ~ ( ~ ( coll @ SY154 @ SY152 @ SY153 )
| ~ ( perp @ SY154 @ SV3 @ SY152 @ SY153 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[175]) ).
thf(199,plain,
! [SV4: $i] :
( ( ! [SY155: $i,SY156: $i,SY157: $i,SY158: $i,SY159: $i,SY160: $i,SY161: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SY155 @ SY156 @ SY157 @ SY158 @ SY159 @ SY160 @ SY161 )
| ~ ( perp @ SY158 @ SY159 @ SY160 @ SY161 ) )
| ( perp @ SV4 @ SY155 @ SY156 @ SY157 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[176]) ).
thf(200,plain,
! [SV5: $i] :
( ( ! [SY162: $i,SY163: $i,SY164: $i] :
~ ! [SY165: $i] :
~ ( ~ ~ ( ~ ( perp @ SY163 @ SY164 @ SV5 @ SY162 )
| ~ ( cong @ SY163 @ SV5 @ SY163 @ SY162 ) )
| ~ ( ~ ( coll @ SY162 @ SV5 @ SY165 )
| ~ ( coll @ SY165 @ SY163 @ SY164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[177]) ).
thf(201,plain,
! [SV6: $i] :
( ( ! [SY166: $i,SY167: $i,SY168: $i,SY169: $i,SY170: $i,SY171: $i] :
~ ! [SY172: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY169 @ SV6 @ SY166 )
| ~ ( midp @ SY170 @ SY167 @ SY168 ) )
| ~ ( coll @ SY167 @ SV6 @ SY166 ) )
| ~ ( coll @ SY168 @ SV6 @ SY166 ) )
| ( midp @ SY172 @ SV6 @ SY171 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[178]) ).
thf(202,plain,
! [SV7: $i] :
( ( ! [SY173: $i,SY174: $i,SY175: $i,SY176: $i,SY177: $i] :
( ~ ~ ( ~ ( para @ SV7 @ SY173 @ SY174 @ SY175 )
| ~ ( perp @ SY174 @ SY175 @ SY176 @ SY177 ) )
| ( perp @ SV7 @ SY173 @ SY176 @ SY177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[179]) ).
thf(203,plain,
! [SV8: $i] :
( ( ! [SY178: $i,SY179: $i,SY180: $i] :
~ ! [SY181: $i] :
~ ~ ! [SY182: $i] :
~ ( ~ ~ ( ~ ( perp @ SV8 @ SY180 @ SY178 @ SY179 )
| ~ ( perp @ SY178 @ SY180 @ SV8 @ SY179 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY181 @ SY179 @ SY178 )
| ~ ( perp @ SV8 @ SY181 @ SY179 @ SY178 ) )
| ~ ( coll @ SY182 @ SY179 @ SV8 ) )
| ~ ( perp @ SY178 @ SY182 @ SY179 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[180]) ).
thf(204,plain,
! [SV9: $i] :
( ( ! [SY183: $i,SY184: $i,SY185: $i] :
~ ! [SY186: $i] :
~ ( ~ ~ ( ~ ( perp @ SY184 @ SY185 @ SV9 @ SY183 )
| ~ ( eqangle @ SV9 @ SY184 @ SY184 @ SY185 @ SY184 @ SY185 @ SY184 @ SY183 ) )
| ~ ( ~ ( coll @ SY183 @ SV9 @ SY186 )
| ~ ( coll @ SY186 @ SY184 @ SY185 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[181]) ).
thf(205,plain,
! [SV10: $i] :
( ( ! [SY187: $i,SY188: $i,SY189: $i] :
( ~ ~ ( ~ ( cong @ SV10 @ SY188 @ SY187 @ SY188 )
| ~ ( cong @ SV10 @ SY189 @ SY187 @ SY189 ) )
| ( perp @ SV10 @ SY187 @ SY188 @ SY189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(206,plain,
! [SV11: $i] :
( ( ! [SY190: $i,SY191: $i,SY192: $i] :
~ ! [SY193: $i] :
~ ( ~ ( circle @ SY192 @ SV11 @ SY190 @ SY191 )
| ( perp @ SY193 @ SV11 @ SV11 @ SY192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[183]) ).
thf(207,plain,
! [SV12: $i] :
( ( ! [SY194: $i,SY195: $i,SY196: $i] :
( ~ ( perp @ SV12 @ SY194 @ SY195 @ SY196 )
| ( perp @ SY195 @ SY196 @ SV12 @ SY194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(208,plain,
! [SV13: $i] :
( ( ! [SY197: $i,SY198: $i,SY199: $i] :
( ~ ~ ( ~ ( coll @ SV13 @ SY197 @ SY198 )
| ~ ( coll @ SV13 @ SY197 @ SY199 ) )
| ( coll @ SY198 @ SY199 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(209,plain,
! [SV14: $i] :
( ( ! [SY200: $i,SY201: $i,SY202: $i,SY203: $i,SY204: $i] :
~ ! [SY205: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SY200 @ SY201 @ SY202 )
| ~ ( coll @ SY203 @ SV14 @ SY201 ) )
| ~ ( coll @ SY203 @ SY200 @ SY202 ) )
| ~ ( coll @ SY204 @ SV14 @ SY200 ) )
| ~ ( ~ ( coll @ SY203 @ SY204 @ SY205 )
| ~ ( coll @ SY205 @ SY201 @ SY202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[186]) ).
thf(210,plain,
! [SV15: $i] :
( ( ! [SY206: $i,SY207: $i] :
( ~ ( midp @ SV15 @ SY206 @ SY207 )
| ( coll @ SV15 @ SY206 @ SY207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(211,plain,
! [SV16: $i] :
( ( ! [SY208: $i,SY209: $i,SY210: $i] :
( ~ ( perp @ SV16 @ SY208 @ SY209 @ SY210 )
| ( perp @ SV16 @ SY208 @ SY210 @ SY209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[188]) ).
thf(212,plain,
! [SV17: $i] :
( ( ! [SY211: $i,SY212: $i,SY213: $i,SY214: $i] :
~ ! [SY215: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV17 @ SY211 @ SV17 @ SY212 )
| ~ ( perp @ SY212 @ SV17 @ SY212 @ SY213 ) )
| ~ ( midp @ SY214 @ SY211 @ SY213 ) )
| ( midp @ SY215 @ SV17 @ SY212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[189]) ).
thf(213,plain,
! [SV18: $i] :
( ( ! [SY216: $i,SY217: $i] :
( ~ ( coll @ SV18 @ SY216 @ SY217 )
| ( coll @ SV18 @ SY217 @ SY216 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[190]) ).
thf(214,plain,
! [SV19: $i] :
( ( ! [SY218: $i,SY219: $i] :
~ ! [SY220: $i] :
~ ( ~ ~ ( ~ ( cong @ SY219 @ SV19 @ SY219 @ SY218 )
| ~ ( perp @ SV19 @ SY219 @ SY219 @ SY218 ) )
| ~ ( ~ ( coll @ SV19 @ SY219 @ SY220 )
| ~ ( cong @ SY219 @ SV19 @ SY219 @ SY220 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[191]) ).
thf(215,plain,
! [SV20: $i] :
( ( ! [SY221: $i,SY222: $i,SY223: $i] :
~ ! [SY224: $i] :
~ ( ~ ~ ( ~ ( perp @ SY222 @ SY221 @ SY221 @ SV20 )
| ~ ( eqangle @ SY223 @ SY222 @ SY221 @ SY222 @ SY221 @ SY222 @ SV20 @ SY222 ) )
| ~ ( ~ ( coll @ SY224 @ SV20 @ SY221 )
| ~ ( coll @ SY224 @ SY222 @ SY223 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[192]) ).
thf(216,plain,
! [SV21: $i] :
( ( ! [SY225: $i,SY226: $i] :
( ~ ( coll @ SV21 @ SY225 @ SY226 )
| ( coll @ SY225 @ SV21 @ SY226 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(217,plain,
! [SV22: $i] :
( ( ! [SY227: $i,SY228: $i,SY229: $i,SY230: $i,SY231: $i] :
( ~ ~ ( ~ ( perp @ SV22 @ SY227 @ SY228 @ SY229 )
| ~ ( perp @ SY228 @ SY229 @ SY230 @ SY231 ) )
| ( para @ SV22 @ SY227 @ SY230 @ SY231 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(218,plain,
! [SV23: $i,SV1: $i] :
( ( ! [SY232: $i] :
( ~ ( para @ SV1 @ SV23 @ SV1 @ SY232 )
| ( coll @ SV1 @ SV23 @ SY232 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(219,plain,
! [SV24: $i,SV2: $i] :
( ( ! [SY233: $i,SY234: $i] :
( ~ ~ ( ~ ( circle @ SY234 @ SV2 @ SV24 @ SY233 )
| ~ ( coll @ SY234 @ SV2 @ SY233 ) )
| ( perp @ SV2 @ SV24 @ SV24 @ SY233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(220,plain,
! [SV25: $i,SV3: $i] :
( ( ! [SY235: $i,SY236: $i,SY237: $i] :
~ ! [SY238: $i] :
~ ( ~ ~ ( ~ ( perp @ SV3 @ SY235 @ SY235 @ SV25 )
| ~ ( coll @ SV25 @ SY236 @ SY237 ) )
| ~ ( ~ ( coll @ SY238 @ SY236 @ SY237 )
| ~ ( perp @ SY238 @ SV3 @ SY236 @ SY237 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(221,plain,
! [SV26: $i,SV4: $i] :
( ( ! [SY239: $i,SY240: $i,SY241: $i,SY242: $i,SY243: $i,SY244: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV26 @ SY239 @ SY240 @ SY241 @ SY242 @ SY243 @ SY244 )
| ~ ( perp @ SY241 @ SY242 @ SY243 @ SY244 ) )
| ( perp @ SV4 @ SV26 @ SY239 @ SY240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(222,plain,
! [SV27: $i,SV5: $i] :
( ( ! [SY245: $i,SY246: $i] :
~ ! [SY247: $i] :
~ ( ~ ~ ( ~ ( perp @ SY245 @ SY246 @ SV5 @ SV27 )
| ~ ( cong @ SY245 @ SV5 @ SY245 @ SV27 ) )
| ~ ( ~ ( coll @ SV27 @ SV5 @ SY247 )
| ~ ( coll @ SY247 @ SY245 @ SY246 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(223,plain,
! [SV28: $i,SV6: $i] :
( ( ! [SY248: $i,SY249: $i,SY250: $i,SY251: $i,SY252: $i] :
~ ! [SY253: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY250 @ SV6 @ SV28 )
| ~ ( midp @ SY251 @ SY248 @ SY249 ) )
| ~ ( coll @ SY248 @ SV6 @ SV28 ) )
| ~ ( coll @ SY249 @ SV6 @ SV28 ) )
| ( midp @ SY253 @ SV6 @ SY252 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[201]) ).
thf(224,plain,
! [SV29: $i,SV7: $i] :
( ( ! [SY254: $i,SY255: $i,SY256: $i,SY257: $i] :
( ~ ~ ( ~ ( para @ SV7 @ SV29 @ SY254 @ SY255 )
| ~ ( perp @ SY254 @ SY255 @ SY256 @ SY257 ) )
| ( perp @ SV7 @ SV29 @ SY256 @ SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(225,plain,
! [SV30: $i,SV8: $i] :
( ( ! [SY258: $i,SY259: $i] :
~ ! [SY260: $i] :
~ ~ ! [SY261: $i] :
~ ( ~ ~ ( ~ ( perp @ SV8 @ SY259 @ SV30 @ SY258 )
| ~ ( perp @ SV30 @ SY259 @ SV8 @ SY258 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY260 @ SY258 @ SV30 )
| ~ ( perp @ SV8 @ SY260 @ SY258 @ SV30 ) )
| ~ ( coll @ SY261 @ SY258 @ SV8 ) )
| ~ ( perp @ SV30 @ SY261 @ SY258 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(226,plain,
! [SV31: $i,SV9: $i] :
( ( ! [SY262: $i,SY263: $i] :
~ ! [SY264: $i] :
~ ( ~ ~ ( ~ ( perp @ SY262 @ SY263 @ SV9 @ SV31 )
| ~ ( eqangle @ SV9 @ SY262 @ SY262 @ SY263 @ SY262 @ SY263 @ SY262 @ SV31 ) )
| ~ ( ~ ( coll @ SV31 @ SV9 @ SY264 )
| ~ ( coll @ SY264 @ SY262 @ SY263 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[204]) ).
thf(227,plain,
! [SV32: $i,SV10: $i] :
( ( ! [SY265: $i,SY266: $i] :
( ~ ~ ( ~ ( cong @ SV10 @ SY265 @ SV32 @ SY265 )
| ~ ( cong @ SV10 @ SY266 @ SV32 @ SY266 ) )
| ( perp @ SV10 @ SV32 @ SY265 @ SY266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(228,plain,
! [SV33: $i,SV11: $i] :
( ( ! [SY267: $i,SY268: $i] :
~ ! [SY269: $i] :
~ ( ~ ( circle @ SY268 @ SV11 @ SV33 @ SY267 )
| ( perp @ SY269 @ SV11 @ SV11 @ SY268 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[206]) ).
thf(229,plain,
! [SV34: $i,SV12: $i] :
( ( ! [SY270: $i,SY271: $i] :
( ~ ( perp @ SV12 @ SV34 @ SY270 @ SY271 )
| ( perp @ SY270 @ SY271 @ SV12 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(230,plain,
! [SV35: $i,SV13: $i] :
( ( ! [SY272: $i,SY273: $i] :
( ~ ~ ( ~ ( coll @ SV13 @ SV35 @ SY272 )
| ~ ( coll @ SV13 @ SV35 @ SY273 ) )
| ( coll @ SY272 @ SY273 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(231,plain,
! [SV36: $i,SV14: $i] :
( ( ! [SY274: $i,SY275: $i,SY276: $i,SY277: $i] :
~ ! [SY278: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SY274 @ SY275 )
| ~ ( coll @ SY276 @ SV14 @ SY274 ) )
| ~ ( coll @ SY276 @ SV36 @ SY275 ) )
| ~ ( coll @ SY277 @ SV14 @ SV36 ) )
| ~ ( ~ ( coll @ SY276 @ SY277 @ SY278 )
| ~ ( coll @ SY278 @ SY274 @ SY275 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[209]) ).
thf(232,plain,
! [SV37: $i,SV15: $i] :
( ( ! [SY279: $i] :
( ~ ( midp @ SV15 @ SV37 @ SY279 )
| ( coll @ SV15 @ SV37 @ SY279 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[210]) ).
thf(233,plain,
! [SV38: $i,SV16: $i] :
( ( ! [SY280: $i,SY281: $i] :
( ~ ( perp @ SV16 @ SV38 @ SY280 @ SY281 )
| ( perp @ SV16 @ SV38 @ SY281 @ SY280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[211]) ).
thf(234,plain,
! [SV39: $i,SV17: $i] :
( ( ! [SY282: $i,SY283: $i,SY284: $i] :
~ ! [SY285: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SY282 )
| ~ ( perp @ SY282 @ SV17 @ SY282 @ SY283 ) )
| ~ ( midp @ SY284 @ SV39 @ SY283 ) )
| ( midp @ SY285 @ SV17 @ SY282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[212]) ).
thf(235,plain,
! [SV40: $i,SV18: $i] :
( ( ! [SY286: $i] :
( ~ ( coll @ SV18 @ SV40 @ SY286 )
| ( coll @ SV18 @ SY286 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[213]) ).
thf(236,plain,
! [SV41: $i,SV19: $i] :
( ( ! [SY287: $i] :
~ ! [SY288: $i] :
~ ( ~ ~ ( ~ ( cong @ SY287 @ SV19 @ SY287 @ SV41 )
| ~ ( perp @ SV19 @ SY287 @ SY287 @ SV41 ) )
| ~ ( ~ ( coll @ SV19 @ SY287 @ SY288 )
| ~ ( cong @ SY287 @ SV19 @ SY287 @ SY288 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[214]) ).
thf(237,plain,
! [SV20: $i,SV42: $i] :
( ( ! [SY289: $i,SY290: $i] :
~ ! [SY291: $i] :
~ ( ~ ~ ( ~ ( perp @ SY289 @ SV42 @ SV42 @ SV20 )
| ~ ( eqangle @ SY290 @ SY289 @ SV42 @ SY289 @ SV42 @ SY289 @ SV20 @ SY289 ) )
| ~ ( ~ ( coll @ SY291 @ SV20 @ SV42 )
| ~ ( coll @ SY291 @ SY289 @ SY290 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[215]) ).
thf(238,plain,
! [SV43: $i,SV21: $i] :
( ( ! [SY292: $i] :
( ~ ( coll @ SV21 @ SV43 @ SY292 )
| ( coll @ SV43 @ SV21 @ SY292 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(239,plain,
! [SV44: $i,SV22: $i] :
( ( ! [SY293: $i,SY294: $i,SY295: $i,SY296: $i] :
( ~ ~ ( ~ ( perp @ SV22 @ SV44 @ SY293 @ SY294 )
| ~ ( perp @ SY293 @ SY294 @ SY295 @ SY296 ) )
| ( para @ SV22 @ SV44 @ SY295 @ SY296 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[217]) ).
thf(240,plain,
! [SV45: $i,SV23: $i,SV1: $i] :
( ( ~ ( para @ SV1 @ SV23 @ SV1 @ SV45 )
| ( coll @ SV1 @ SV23 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[218]) ).
thf(241,plain,
! [SV46: $i,SV24: $i,SV2: $i] :
( ( ! [SY297: $i] :
( ~ ~ ( ~ ( circle @ SY297 @ SV2 @ SV24 @ SV46 )
| ~ ( coll @ SY297 @ SV2 @ SV46 ) )
| ( perp @ SV2 @ SV24 @ SV24 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(242,plain,
! [SV25: $i,SV47: $i,SV3: $i] :
( ( ! [SY298: $i,SY299: $i] :
~ ! [SY300: $i] :
~ ( ~ ~ ( ~ ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
| ~ ( coll @ SV25 @ SY298 @ SY299 ) )
| ~ ( ~ ( coll @ SY300 @ SY298 @ SY299 )
| ~ ( perp @ SY300 @ SV3 @ SY298 @ SY299 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(243,plain,
! [SV48: $i,SV26: $i,SV4: $i] :
( ( ! [SY301: $i,SY302: $i,SY303: $i,SY304: $i,SY305: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV26 @ SV48 @ SY301 @ SY302 @ SY303 @ SY304 @ SY305 )
| ~ ( perp @ SY302 @ SY303 @ SY304 @ SY305 ) )
| ( perp @ SV4 @ SV26 @ SV48 @ SY301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(244,plain,
! [SV27: $i,SV5: $i,SV49: $i] :
( ( ! [SY306: $i] :
~ ! [SY307: $i] :
~ ( ~ ~ ( ~ ( perp @ SV49 @ SY306 @ SV5 @ SV27 )
| ~ ( cong @ SV49 @ SV5 @ SV49 @ SV27 ) )
| ~ ( ~ ( coll @ SV27 @ SV5 @ SY307 )
| ~ ( coll @ SY307 @ SV49 @ SY306 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[222]) ).
thf(245,plain,
! [SV50: $i,SV28: $i,SV6: $i] :
( ( ! [SY308: $i,SY309: $i,SY310: $i,SY311: $i] :
~ ! [SY312: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY309 @ SV6 @ SV28 )
| ~ ( midp @ SY310 @ SV50 @ SY308 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
| ~ ( coll @ SY308 @ SV6 @ SV28 ) )
| ( midp @ SY312 @ SV6 @ SY311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[223]) ).
thf(246,plain,
! [SV51: $i,SV29: $i,SV7: $i] :
( ( ! [SY313: $i,SY314: $i,SY315: $i] :
( ~ ~ ( ~ ( para @ SV7 @ SV29 @ SV51 @ SY313 )
| ~ ( perp @ SV51 @ SY313 @ SY314 @ SY315 ) )
| ( perp @ SV7 @ SV29 @ SY314 @ SY315 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(247,plain,
! [SV52: $i,SV30: $i,SV8: $i] :
( ( ! [SY316: $i] :
~ ! [SY317: $i] :
~ ~ ! [SY318: $i] :
~ ( ~ ~ ( ~ ( perp @ SV8 @ SY316 @ SV30 @ SV52 )
| ~ ( perp @ SV30 @ SY316 @ SV8 @ SV52 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY317 @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ SY317 @ SV52 @ SV30 ) )
| ~ ( coll @ SY318 @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ SY318 @ SV52 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(248,plain,
! [SV31: $i,SV9: $i,SV53: $i] :
( ( ! [SY319: $i] :
~ ! [SY320: $i] :
~ ( ~ ~ ( ~ ( perp @ SV53 @ SY319 @ SV9 @ SV31 )
| ~ ( eqangle @ SV9 @ SV53 @ SV53 @ SY319 @ SV53 @ SY319 @ SV53 @ SV31 ) )
| ~ ( ~ ( coll @ SV31 @ SV9 @ SY320 )
| ~ ( coll @ SY320 @ SV53 @ SY319 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(249,plain,
! [SV32: $i,SV54: $i,SV10: $i] :
( ( ! [SY321: $i] :
( ~ ~ ( ~ ( cong @ SV10 @ SV54 @ SV32 @ SV54 )
| ~ ( cong @ SV10 @ SY321 @ SV32 @ SY321 ) )
| ( perp @ SV10 @ SV32 @ SV54 @ SY321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[227]) ).
thf(250,plain,
! [SV55: $i,SV33: $i,SV11: $i] :
( ( ! [SY322: $i] :
~ ! [SY323: $i] :
~ ( ~ ( circle @ SY322 @ SV11 @ SV33 @ SV55 )
| ( perp @ SY323 @ SV11 @ SV11 @ SY322 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(251,plain,
! [SV56: $i,SV34: $i,SV12: $i] :
( ( ! [SY324: $i] :
( ~ ( perp @ SV12 @ SV34 @ SV56 @ SY324 )
| ( perp @ SV56 @ SY324 @ SV12 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[229]) ).
thf(252,plain,
! [SV57: $i,SV35: $i,SV13: $i] :
( ( ! [SY325: $i] :
( ~ ~ ( ~ ( coll @ SV13 @ SV35 @ SV57 )
| ~ ( coll @ SV13 @ SV35 @ SY325 ) )
| ( coll @ SV57 @ SY325 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(253,plain,
! [SV58: $i,SV36: $i,SV14: $i] :
( ( ! [SY326: $i,SY327: $i,SY328: $i] :
~ ! [SY329: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SY326 )
| ~ ( coll @ SY327 @ SV14 @ SV58 ) )
| ~ ( coll @ SY327 @ SV36 @ SY326 ) )
| ~ ( coll @ SY328 @ SV14 @ SV36 ) )
| ~ ( ~ ( coll @ SY327 @ SY328 @ SY329 )
| ~ ( coll @ SY329 @ SV58 @ SY326 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[231]) ).
thf(254,plain,
! [SV59: $i,SV37: $i,SV15: $i] :
( ( ~ ( midp @ SV15 @ SV37 @ SV59 )
| ( coll @ SV15 @ SV37 @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[232]) ).
thf(255,plain,
! [SV60: $i,SV38: $i,SV16: $i] :
( ( ! [SY330: $i] :
( ~ ( perp @ SV16 @ SV38 @ SV60 @ SY330 )
| ( perp @ SV16 @ SV38 @ SY330 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(256,plain,
! [SV61: $i,SV39: $i,SV17: $i] :
( ( ! [SY331: $i,SY332: $i] :
~ ! [SY333: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SY331 ) )
| ~ ( midp @ SY332 @ SV39 @ SY331 ) )
| ( midp @ SY333 @ SV17 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(257,plain,
! [SV62: $i,SV40: $i,SV18: $i] :
( ( ~ ( coll @ SV18 @ SV40 @ SV62 )
| ( coll @ SV18 @ SV62 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(258,plain,
! [SV41: $i,SV19: $i,SV63: $i] :
( ( ~ ! [SY334: $i] :
~ ( ~ ~ ( ~ ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
| ~ ( perp @ SV19 @ SV63 @ SV63 @ SV41 ) )
| ~ ( ~ ( coll @ SV19 @ SV63 @ SY334 )
| ~ ( cong @ SV63 @ SV19 @ SV63 @ SY334 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[236]) ).
thf(259,plain,
! [SV20: $i,SV42: $i,SV64: $i] :
( ( ! [SY335: $i] :
~ ! [SY336: $i] :
~ ( ~ ~ ( ~ ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
| ~ ( eqangle @ SY335 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 ) )
| ~ ( ~ ( coll @ SY336 @ SV20 @ SV42 )
| ~ ( coll @ SY336 @ SV64 @ SY335 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[237]) ).
thf(260,plain,
! [SV65: $i,SV43: $i,SV21: $i] :
( ( ~ ( coll @ SV21 @ SV43 @ SV65 )
| ( coll @ SV43 @ SV21 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[238]) ).
thf(261,plain,
! [SV66: $i,SV44: $i,SV22: $i] :
( ( ! [SY337: $i,SY338: $i,SY339: $i] :
( ~ ~ ( ~ ( perp @ SV22 @ SV44 @ SV66 @ SY337 )
| ~ ( perp @ SV66 @ SY337 @ SY338 @ SY339 ) )
| ( para @ SV22 @ SV44 @ SY338 @ SY339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[239]) ).
thf(262,plain,
! [SV45: $i,SV23: $i,SV1: $i] :
( ( ( ~ ( para @ SV1 @ SV23 @ SV1 @ SV45 ) )
= $true )
| ( ( coll @ SV1 @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(263,plain,
! [SV46: $i,SV24: $i,SV2: $i,SV67: $i] :
( ( ~ ~ ( ~ ( circle @ SV67 @ SV2 @ SV24 @ SV46 )
| ~ ( coll @ SV67 @ SV2 @ SV46 ) )
| ( perp @ SV2 @ SV24 @ SV24 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[241]) ).
thf(264,plain,
! [SV68: $i,SV25: $i,SV47: $i,SV3: $i] :
( ( ! [SY340: $i] :
~ ! [SY341: $i] :
~ ( ~ ~ ( ~ ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
| ~ ( coll @ SV25 @ SV68 @ SY340 ) )
| ~ ( ~ ( coll @ SY341 @ SV68 @ SY340 )
| ~ ( perp @ SY341 @ SV3 @ SV68 @ SY340 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[242]) ).
thf(265,plain,
! [SV69: $i,SV48: $i,SV26: $i,SV4: $i] :
( ( ! [SY342: $i,SY343: $i,SY344: $i,SY345: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV26 @ SV48 @ SV69 @ SY342 @ SY343 @ SY344 @ SY345 )
| ~ ( perp @ SY342 @ SY343 @ SY344 @ SY345 ) )
| ( perp @ SV4 @ SV26 @ SV48 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[243]) ).
thf(266,plain,
! [SV27: $i,SV5: $i,SV70: $i,SV49: $i] :
( ( ~ ! [SY346: $i] :
~ ( ~ ~ ( ~ ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
| ~ ( cong @ SV49 @ SV5 @ SV49 @ SV27 ) )
| ~ ( ~ ( coll @ SV27 @ SV5 @ SY346 )
| ~ ( coll @ SY346 @ SV49 @ SV70 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[244]) ).
thf(267,plain,
! [SV71: $i,SV50: $i,SV28: $i,SV6: $i] :
( ( ! [SY347: $i,SY348: $i,SY349: $i] :
~ ! [SY350: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SY347 @ SV6 @ SV28 )
| ~ ( midp @ SY348 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
| ~ ( coll @ SV71 @ SV6 @ SV28 ) )
| ( midp @ SY350 @ SV6 @ SY349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[245]) ).
thf(268,plain,
! [SV72: $i,SV51: $i,SV29: $i,SV7: $i] :
( ( ! [SY351: $i,SY352: $i] :
( ~ ~ ( ~ ( para @ SV7 @ SV29 @ SV51 @ SV72 )
| ~ ( perp @ SV51 @ SV72 @ SY351 @ SY352 ) )
| ( perp @ SV7 @ SV29 @ SY351 @ SY352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[246]) ).
thf(269,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ~ ! [SY353: $i] :
~ ~ ! [SY354: $i] :
~ ( ~ ~ ( ~ ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
| ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY353 @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ SY353 @ SV52 @ SV30 ) )
| ~ ( coll @ SY354 @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ SY354 @ SV52 @ SV8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[247]) ).
thf(270,plain,
! [SV31: $i,SV9: $i,SV74: $i,SV53: $i] :
( ( ~ ! [SY355: $i] :
~ ( ~ ~ ( ~ ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
| ~ ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 ) )
| ~ ( ~ ( coll @ SV31 @ SV9 @ SY355 )
| ~ ( coll @ SY355 @ SV53 @ SV74 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[248]) ).
thf(271,plain,
! [SV75: $i,SV32: $i,SV54: $i,SV10: $i] :
( ( ~ ~ ( ~ ( cong @ SV10 @ SV54 @ SV32 @ SV54 )
| ~ ( cong @ SV10 @ SV75 @ SV32 @ SV75 ) )
| ( perp @ SV10 @ SV32 @ SV54 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[249]) ).
thf(272,plain,
! [SV55: $i,SV33: $i,SV11: $i,SV76: $i] :
( ( ~ ! [SY356: $i] :
~ ( ~ ( circle @ SV76 @ SV11 @ SV33 @ SV55 )
| ( perp @ SY356 @ SV11 @ SV11 @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(273,plain,
! [SV77: $i,SV56: $i,SV34: $i,SV12: $i] :
( ( ~ ( perp @ SV12 @ SV34 @ SV56 @ SV77 )
| ( perp @ SV56 @ SV77 @ SV12 @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(274,plain,
! [SV78: $i,SV57: $i,SV35: $i,SV13: $i] :
( ( ~ ~ ( ~ ( coll @ SV13 @ SV35 @ SV57 )
| ~ ( coll @ SV13 @ SV35 @ SV78 ) )
| ( coll @ SV57 @ SV78 @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[252]) ).
thf(275,plain,
! [SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ! [SY357: $i,SY358: $i] :
~ ! [SY359: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SY357 @ SV14 @ SV58 ) )
| ~ ( coll @ SY357 @ SV36 @ SV79 ) )
| ~ ( coll @ SY358 @ SV14 @ SV36 ) )
| ~ ( ~ ( coll @ SY357 @ SY358 @ SY359 )
| ~ ( coll @ SY359 @ SV58 @ SV79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(276,plain,
! [SV59: $i,SV37: $i,SV15: $i] :
( ( ( ~ ( midp @ SV15 @ SV37 @ SV59 ) )
= $true )
| ( ( coll @ SV15 @ SV37 @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[254]) ).
thf(277,plain,
! [SV80: $i,SV60: $i,SV38: $i,SV16: $i] :
( ( ~ ( perp @ SV16 @ SV38 @ SV60 @ SV80 )
| ( perp @ SV16 @ SV38 @ SV80 @ SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[255]) ).
thf(278,plain,
! [SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ! [SY360: $i] :
~ ! [SY361: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) )
| ~ ( midp @ SY360 @ SV39 @ SV81 ) )
| ( midp @ SY361 @ SV17 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[256]) ).
thf(279,plain,
! [SV62: $i,SV40: $i,SV18: $i] :
( ( ( ~ ( coll @ SV18 @ SV40 @ SV62 ) )
= $true )
| ( ( coll @ SV18 @ SV62 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[257]) ).
thf(280,plain,
! [SV41: $i,SV19: $i,SV63: $i] :
( ( ! [SY334: $i] :
~ ( ~ ~ ( ~ ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
| ~ ( perp @ SV19 @ SV63 @ SV63 @ SV41 ) )
| ~ ( ~ ( coll @ SV19 @ SV63 @ SY334 )
| ~ ( cong @ SV63 @ SV19 @ SV63 @ SY334 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[258]) ).
thf(281,plain,
! [SV82: $i,SV20: $i,SV42: $i,SV64: $i] :
( ( ~ ! [SY362: $i] :
~ ( ~ ~ ( ~ ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
| ~ ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 ) )
| ~ ( ~ ( coll @ SY362 @ SV20 @ SV42 )
| ~ ( coll @ SY362 @ SV64 @ SV82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[259]) ).
thf(282,plain,
! [SV65: $i,SV43: $i,SV21: $i] :
( ( ( ~ ( coll @ SV21 @ SV43 @ SV65 ) )
= $true )
| ( ( coll @ SV43 @ SV21 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[260]) ).
thf(283,plain,
! [SV83: $i,SV66: $i,SV44: $i,SV22: $i] :
( ( ! [SY363: $i,SY364: $i] :
( ~ ~ ( ~ ( perp @ SV22 @ SV44 @ SV66 @ SV83 )
| ~ ( perp @ SV66 @ SV83 @ SY363 @ SY364 ) )
| ( para @ SV22 @ SV44 @ SY363 @ SY364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(284,plain,
! [SV45: $i,SV23: $i,SV1: $i] :
( ( ( para @ SV1 @ SV23 @ SV1 @ SV45 )
= $false )
| ( ( coll @ SV1 @ SV23 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(285,plain,
! [SV46: $i,SV24: $i,SV2: $i,SV67: $i] :
( ( ( ~ ~ ( ~ ( circle @ SV67 @ SV2 @ SV24 @ SV46 )
| ~ ( coll @ SV67 @ SV2 @ SV46 ) ) )
= $true )
| ( ( perp @ SV2 @ SV24 @ SV24 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(286,plain,
! [SV84: $i,SV68: $i,SV25: $i,SV47: $i,SV3: $i] :
( ( ~ ! [SY365: $i] :
~ ( ~ ~ ( ~ ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
| ~ ( coll @ SV25 @ SV68 @ SV84 ) )
| ~ ( ~ ( coll @ SY365 @ SV68 @ SV84 )
| ~ ( perp @ SY365 @ SV3 @ SV68 @ SV84 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(287,plain,
! [SV85: $i,SV69: $i,SV48: $i,SV26: $i,SV4: $i] :
( ( ! [SY366: $i,SY367: $i,SY368: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV26 @ SV48 @ SV69 @ SV85 @ SY366 @ SY367 @ SY368 )
| ~ ( perp @ SV85 @ SY366 @ SY367 @ SY368 ) )
| ( perp @ SV4 @ SV26 @ SV48 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(288,plain,
! [SV27: $i,SV5: $i,SV70: $i,SV49: $i] :
( ( ! [SY346: $i] :
~ ( ~ ~ ( ~ ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
| ~ ( cong @ SV49 @ SV5 @ SV49 @ SV27 ) )
| ~ ( ~ ( coll @ SV27 @ SV5 @ SY346 )
| ~ ( coll @ SY346 @ SV49 @ SV70 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[266]) ).
thf(289,plain,
! [SV71: $i,SV50: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ! [SY369: $i,SY370: $i] :
~ ! [SY371: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SY369 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
| ~ ( coll @ SV71 @ SV6 @ SV28 ) )
| ( midp @ SY371 @ SV6 @ SY370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(290,plain,
! [SV87: $i,SV72: $i,SV51: $i,SV29: $i,SV7: $i] :
( ( ! [SY372: $i] :
( ~ ~ ( ~ ( para @ SV7 @ SV29 @ SV51 @ SV72 )
| ~ ( perp @ SV51 @ SV72 @ SV87 @ SY372 ) )
| ( perp @ SV7 @ SV29 @ SV87 @ SY372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(291,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ! [SY353: $i] :
~ ~ ! [SY354: $i] :
~ ( ~ ~ ( ~ ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
| ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ SY353 @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ SY353 @ SV52 @ SV30 ) )
| ~ ( coll @ SY354 @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ SY354 @ SV52 @ SV8 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[269]) ).
thf(292,plain,
! [SV31: $i,SV9: $i,SV74: $i,SV53: $i] :
( ( ! [SY355: $i] :
~ ( ~ ~ ( ~ ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
| ~ ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 ) )
| ~ ( ~ ( coll @ SV31 @ SV9 @ SY355 )
| ~ ( coll @ SY355 @ SV53 @ SV74 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[270]) ).
thf(293,plain,
! [SV75: $i,SV32: $i,SV54: $i,SV10: $i] :
( ( ( ~ ~ ( ~ ( cong @ SV10 @ SV54 @ SV32 @ SV54 )
| ~ ( cong @ SV10 @ SV75 @ SV32 @ SV75 ) ) )
= $true )
| ( ( perp @ SV10 @ SV32 @ SV54 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[271]) ).
thf(294,plain,
! [SV55: $i,SV33: $i,SV11: $i,SV76: $i] :
( ( ! [SY356: $i] :
~ ( ~ ( circle @ SV76 @ SV11 @ SV33 @ SV55 )
| ( perp @ SY356 @ SV11 @ SV11 @ SV76 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(295,plain,
! [SV77: $i,SV56: $i,SV34: $i,SV12: $i] :
( ( ( ~ ( perp @ SV12 @ SV34 @ SV56 @ SV77 ) )
= $true )
| ( ( perp @ SV56 @ SV77 @ SV12 @ SV34 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[273]) ).
thf(296,plain,
! [SV78: $i,SV57: $i,SV35: $i,SV13: $i] :
( ( ( ~ ~ ( ~ ( coll @ SV13 @ SV35 @ SV57 )
| ~ ( coll @ SV13 @ SV35 @ SV78 ) ) )
= $true )
| ( ( coll @ SV57 @ SV78 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(297,plain,
! [SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ! [SY373: $i] :
~ ! [SY374: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
| ~ ( coll @ SV88 @ SV36 @ SV79 ) )
| ~ ( coll @ SY373 @ SV14 @ SV36 ) )
| ~ ( ~ ( coll @ SV88 @ SY373 @ SY374 )
| ~ ( coll @ SY374 @ SV58 @ SV79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[275]) ).
thf(298,plain,
! [SV59: $i,SV37: $i,SV15: $i] :
( ( ( midp @ SV15 @ SV37 @ SV59 )
= $false )
| ( ( coll @ SV15 @ SV37 @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[276]) ).
thf(299,plain,
! [SV80: $i,SV60: $i,SV38: $i,SV16: $i] :
( ( ( ~ ( perp @ SV16 @ SV38 @ SV60 @ SV80 ) )
= $true )
| ( ( perp @ SV16 @ SV38 @ SV80 @ SV60 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(300,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ~ ! [SY375: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) )
| ~ ( midp @ SV89 @ SV39 @ SV81 ) )
| ( midp @ SY375 @ SV17 @ SV61 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[278]) ).
thf(301,plain,
! [SV62: $i,SV40: $i,SV18: $i] :
( ( ( coll @ SV18 @ SV40 @ SV62 )
= $false )
| ( ( coll @ SV18 @ SV62 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[279]) ).
thf(302,plain,
! [SV41: $i,SV19: $i,SV63: $i] :
( ( ~ ( ~ ~ ( ~ ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
| ~ ( perp @ SV19 @ SV63 @ SV63 @ SV41 ) )
| ~ ( ~ ( coll @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) )
| ~ ( cong @ SV63 @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[280]) ).
thf(303,plain,
! [SV82: $i,SV20: $i,SV42: $i,SV64: $i] :
( ( ! [SY362: $i] :
~ ( ~ ~ ( ~ ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
| ~ ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 ) )
| ~ ( ~ ( coll @ SY362 @ SV20 @ SV42 )
| ~ ( coll @ SY362 @ SV64 @ SV82 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[281]) ).
thf(304,plain,
! [SV65: $i,SV43: $i,SV21: $i] :
( ( ( coll @ SV21 @ SV43 @ SV65 )
= $false )
| ( ( coll @ SV43 @ SV21 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[282]) ).
thf(305,plain,
! [SV90: $i,SV83: $i,SV66: $i,SV44: $i,SV22: $i] :
( ( ! [SY376: $i] :
( ~ ~ ( ~ ( perp @ SV22 @ SV44 @ SV66 @ SV83 )
| ~ ( perp @ SV66 @ SV83 @ SV90 @ SY376 ) )
| ( para @ SV22 @ SV44 @ SV90 @ SY376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[283]) ).
thf(306,plain,
! [SV46: $i,SV24: $i,SV2: $i,SV67: $i] :
( ( ( ~ ( ~ ( circle @ SV67 @ SV2 @ SV24 @ SV46 )
| ~ ( coll @ SV67 @ SV2 @ SV46 ) ) )
= $false )
| ( ( perp @ SV2 @ SV24 @ SV24 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(307,plain,
! [SV84: $i,SV68: $i,SV25: $i,SV47: $i,SV3: $i] :
( ( ! [SY365: $i] :
~ ( ~ ~ ( ~ ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
| ~ ( coll @ SV25 @ SV68 @ SV84 ) )
| ~ ( ~ ( coll @ SY365 @ SV68 @ SV84 )
| ~ ( perp @ SY365 @ SV3 @ SV68 @ SV84 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[286]) ).
thf(308,plain,
! [SV91: $i,SV85: $i,SV69: $i,SV48: $i,SV26: $i,SV4: $i] :
( ( ! [SY377: $i,SY378: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV26 @ SV48 @ SV69 @ SV85 @ SV91 @ SY377 @ SY378 )
| ~ ( perp @ SV85 @ SV91 @ SY377 @ SY378 ) )
| ( perp @ SV4 @ SV26 @ SV48 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(309,plain,
! [SV27: $i,SV5: $i,SV70: $i,SV49: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
| ~ ( cong @ SV49 @ SV5 @ SV49 @ SV27 ) )
| ~ ( ~ ( coll @ SV27 @ SV5 @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) )
| ~ ( coll @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) @ SV49 @ SV70 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[288]) ).
thf(310,plain,
! [SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ! [SY379: $i] :
~ ! [SY380: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
| ~ ( coll @ SV71 @ SV6 @ SV28 ) )
| ( midp @ SY380 @ SV6 @ SY379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[289]) ).
thf(311,plain,
! [SV93: $i,SV87: $i,SV72: $i,SV51: $i,SV29: $i,SV7: $i] :
( ( ~ ~ ( ~ ( para @ SV7 @ SV29 @ SV51 @ SV72 )
| ~ ( perp @ SV51 @ SV72 @ SV87 @ SV93 ) )
| ( perp @ SV7 @ SV29 @ SV87 @ SV93 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[290]) ).
thf(312,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ~ ~ ! [SY381: $i] :
~ ( ~ ~ ( ~ ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
| ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ SY381 @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ SY381 @ SV52 @ SV8 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[291]) ).
thf(313,plain,
! [SV31: $i,SV9: $i,SV74: $i,SV53: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
| ~ ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 ) )
| ~ ( ~ ( coll @ SV31 @ SV9 @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) )
| ~ ( coll @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) @ SV53 @ SV74 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[292]) ).
thf(314,plain,
! [SV75: $i,SV32: $i,SV54: $i,SV10: $i] :
( ( ( ~ ( ~ ( cong @ SV10 @ SV54 @ SV32 @ SV54 )
| ~ ( cong @ SV10 @ SV75 @ SV32 @ SV75 ) ) )
= $false )
| ( ( perp @ SV10 @ SV32 @ SV54 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[293]) ).
thf(315,plain,
! [SV55: $i,SV33: $i,SV11: $i,SV76: $i] :
( ( ~ ( ~ ( circle @ SV76 @ SV11 @ SV33 @ SV55 )
| ( perp @ ( sK13_SY356 @ SV55 @ SV33 @ SV11 @ SV76 ) @ SV11 @ SV11 @ SV76 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[294]) ).
thf(316,plain,
! [SV77: $i,SV56: $i,SV34: $i,SV12: $i] :
( ( ( perp @ SV12 @ SV34 @ SV56 @ SV77 )
= $false )
| ( ( perp @ SV56 @ SV77 @ SV12 @ SV34 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(317,plain,
! [SV78: $i,SV57: $i,SV35: $i,SV13: $i] :
( ( ( ~ ( ~ ( coll @ SV13 @ SV35 @ SV57 )
| ~ ( coll @ SV13 @ SV35 @ SV78 ) ) )
= $false )
| ( ( coll @ SV57 @ SV78 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[296]) ).
thf(318,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ~ ! [SY382: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
| ~ ( coll @ SV88 @ SV36 @ SV79 ) )
| ~ ( coll @ SV94 @ SV14 @ SV36 ) )
| ~ ( ~ ( coll @ SV88 @ SV94 @ SY382 )
| ~ ( coll @ SY382 @ SV58 @ SV79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[297]) ).
thf(319,plain,
! [SV80: $i,SV60: $i,SV38: $i,SV16: $i] :
( ( ( perp @ SV16 @ SV38 @ SV60 @ SV80 )
= $false )
| ( ( perp @ SV16 @ SV38 @ SV80 @ SV60 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[299]) ).
thf(320,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ! [SY375: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) )
| ~ ( midp @ SV89 @ SV39 @ SV81 ) )
| ( midp @ SY375 @ SV17 @ SV61 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[300]) ).
thf(321,plain,
! [SV41: $i,SV19: $i,SV63: $i] :
( ( ~ ~ ( ~ ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
| ~ ( perp @ SV19 @ SV63 @ SV63 @ SV41 ) )
| ~ ( ~ ( coll @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) )
| ~ ( cong @ SV63 @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[302]) ).
thf(322,plain,
! [SV82: $i,SV20: $i,SV42: $i,SV64: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
| ~ ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 ) )
| ~ ( ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV20 @ SV42 )
| ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV64 @ SV82 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[303]) ).
thf(323,plain,
! [SV95: $i,SV90: $i,SV83: $i,SV66: $i,SV44: $i,SV22: $i] :
( ( ~ ~ ( ~ ( perp @ SV22 @ SV44 @ SV66 @ SV83 )
| ~ ( perp @ SV66 @ SV83 @ SV90 @ SV95 ) )
| ( para @ SV22 @ SV44 @ SV90 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(324,plain,
! [SV46: $i,SV24: $i,SV2: $i,SV67: $i] :
( ( ( ~ ( circle @ SV67 @ SV2 @ SV24 @ SV46 )
| ~ ( coll @ SV67 @ SV2 @ SV46 ) )
= $true )
| ( ( perp @ SV2 @ SV24 @ SV24 @ SV46 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[306]) ).
thf(325,plain,
! [SV84: $i,SV68: $i,SV25: $i,SV47: $i,SV3: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
| ~ ( coll @ SV25 @ SV68 @ SV84 ) )
| ~ ( ~ ( coll @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV68 @ SV84 )
| ~ ( perp @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV3 @ SV68 @ SV84 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[307]) ).
thf(326,plain,
! [SV96: $i,SV91: $i,SV85: $i,SV69: $i,SV48: $i,SV26: $i,SV4: $i] :
( ( ! [SY383: $i] :
( ~ ~ ( ~ ( eqangle @ SV4 @ SV26 @ SV48 @ SV69 @ SV85 @ SV91 @ SV96 @ SY383 )
| ~ ( perp @ SV85 @ SV91 @ SV96 @ SY383 ) )
| ( perp @ SV4 @ SV26 @ SV48 @ SV69 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[308]) ).
thf(327,plain,
! [SV27: $i,SV5: $i,SV70: $i,SV49: $i] :
( ( ~ ~ ( ~ ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
| ~ ( cong @ SV49 @ SV5 @ SV49 @ SV27 ) )
| ~ ( ~ ( coll @ SV27 @ SV5 @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) )
| ~ ( coll @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) @ SV49 @ SV70 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[309]) ).
thf(328,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ~ ! [SY384: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
| ~ ( coll @ SV71 @ SV6 @ SV28 ) )
| ( midp @ SY384 @ SV6 @ SV97 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(329,plain,
! [SV93: $i,SV87: $i,SV72: $i,SV51: $i,SV29: $i,SV7: $i] :
( ( ( ~ ~ ( ~ ( para @ SV7 @ SV29 @ SV51 @ SV72 )
| ~ ( perp @ SV51 @ SV72 @ SV87 @ SV93 ) ) )
= $true )
| ( ( perp @ SV7 @ SV29 @ SV87 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(330,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ~ ! [SY381: $i] :
~ ( ~ ~ ( ~ ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
| ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ SY381 @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ SY381 @ SV52 @ SV8 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[312]) ).
thf(331,plain,
! [SV31: $i,SV9: $i,SV74: $i,SV53: $i] :
( ( ~ ~ ( ~ ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
| ~ ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 ) )
| ~ ( ~ ( coll @ SV31 @ SV9 @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) )
| ~ ( coll @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) @ SV53 @ SV74 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(332,plain,
! [SV75: $i,SV32: $i,SV54: $i,SV10: $i] :
( ( ( ~ ( cong @ SV10 @ SV54 @ SV32 @ SV54 )
| ~ ( cong @ SV10 @ SV75 @ SV32 @ SV75 ) )
= $true )
| ( ( perp @ SV10 @ SV32 @ SV54 @ SV75 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(333,plain,
! [SV55: $i,SV33: $i,SV11: $i,SV76: $i] :
( ( ~ ( circle @ SV76 @ SV11 @ SV33 @ SV55 )
| ( perp @ ( sK13_SY356 @ SV55 @ SV33 @ SV11 @ SV76 ) @ SV11 @ SV11 @ SV76 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[315]) ).
thf(334,plain,
! [SV78: $i,SV57: $i,SV35: $i,SV13: $i] :
( ( ( ~ ( coll @ SV13 @ SV35 @ SV57 )
| ~ ( coll @ SV13 @ SV35 @ SV78 ) )
= $true )
| ( ( coll @ SV57 @ SV78 @ SV13 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[317]) ).
thf(335,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ! [SY382: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
| ~ ( coll @ SV88 @ SV36 @ SV79 ) )
| ~ ( coll @ SV94 @ SV14 @ SV36 ) )
| ~ ( ~ ( coll @ SV88 @ SV94 @ SY382 )
| ~ ( coll @ SY382 @ SV58 @ SV79 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(336,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) )
| ~ ( midp @ SV89 @ SV39 @ SV81 ) )
| ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[320]) ).
thf(337,plain,
! [SV41: $i,SV19: $i,SV63: $i] :
( ( ( ~ ~ ( ~ ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
| ~ ( perp @ SV19 @ SV63 @ SV63 @ SV41 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) )
| ~ ( cong @ SV63 @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(338,plain,
! [SV82: $i,SV20: $i,SV42: $i,SV64: $i] :
( ( ~ ~ ( ~ ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
| ~ ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 ) )
| ~ ( ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV20 @ SV42 )
| ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV64 @ SV82 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[322]) ).
thf(339,plain,
! [SV95: $i,SV90: $i,SV83: $i,SV66: $i,SV44: $i,SV22: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV22 @ SV44 @ SV66 @ SV83 )
| ~ ( perp @ SV66 @ SV83 @ SV90 @ SV95 ) ) )
= $true )
| ( ( para @ SV22 @ SV44 @ SV90 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(340,plain,
! [SV46: $i,SV24: $i,SV2: $i,SV67: $i] :
( ( ( ~ ( circle @ SV67 @ SV2 @ SV24 @ SV46 ) )
= $true )
| ( ( ~ ( coll @ SV67 @ SV2 @ SV46 ) )
= $true )
| ( ( perp @ SV2 @ SV24 @ SV24 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[324]) ).
thf(341,plain,
! [SV84: $i,SV68: $i,SV25: $i,SV47: $i,SV3: $i] :
( ( ~ ~ ( ~ ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
| ~ ( coll @ SV25 @ SV68 @ SV84 ) )
| ~ ( ~ ( coll @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV68 @ SV84 )
| ~ ( perp @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV3 @ SV68 @ SV84 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(342,plain,
! [SV98: $i,SV96: $i,SV91: $i,SV85: $i,SV69: $i,SV48: $i,SV26: $i,SV4: $i] :
( ( ~ ~ ( ~ ( eqangle @ SV4 @ SV26 @ SV48 @ SV69 @ SV85 @ SV91 @ SV96 @ SV98 )
| ~ ( perp @ SV85 @ SV91 @ SV96 @ SV98 ) )
| ( perp @ SV4 @ SV26 @ SV48 @ SV69 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(343,plain,
! [SV27: $i,SV5: $i,SV70: $i,SV49: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
| ~ ( cong @ SV49 @ SV5 @ SV49 @ SV27 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV27 @ SV5 @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) )
| ~ ( coll @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) @ SV49 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[327]) ).
thf(344,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ! [SY384: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
| ~ ( coll @ SV71 @ SV6 @ SV28 ) )
| ( midp @ SY384 @ SV6 @ SV97 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(345,plain,
! [SV93: $i,SV87: $i,SV72: $i,SV51: $i,SV29: $i,SV7: $i] :
( ( ( ~ ( ~ ( para @ SV7 @ SV29 @ SV51 @ SV72 )
| ~ ( perp @ SV51 @ SV72 @ SV87 @ SV93 ) ) )
= $false )
| ( ( perp @ SV7 @ SV29 @ SV87 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[329]) ).
thf(346,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ! [SY381: $i] :
~ ( ~ ~ ( ~ ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
| ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ SY381 @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ SY381 @ SV52 @ SV8 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(347,plain,
! [SV31: $i,SV9: $i,SV74: $i,SV53: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
| ~ ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV31 @ SV9 @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) )
| ~ ( coll @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) @ SV53 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[331]) ).
thf(348,plain,
! [SV75: $i,SV32: $i,SV54: $i,SV10: $i] :
( ( ( ~ ( cong @ SV10 @ SV54 @ SV32 @ SV54 ) )
= $true )
| ( ( ~ ( cong @ SV10 @ SV75 @ SV32 @ SV75 ) )
= $true )
| ( ( perp @ SV10 @ SV32 @ SV54 @ SV75 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[332]) ).
thf(349,plain,
! [SV55: $i,SV33: $i,SV11: $i,SV76: $i] :
( ( ( ~ ( circle @ SV76 @ SV11 @ SV33 @ SV55 ) )
= $true )
| ( ( perp @ ( sK13_SY356 @ SV55 @ SV33 @ SV11 @ SV76 ) @ SV11 @ SV11 @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[333]) ).
thf(350,plain,
! [SV78: $i,SV57: $i,SV35: $i,SV13: $i] :
( ( ( ~ ( coll @ SV13 @ SV35 @ SV57 ) )
= $true )
| ( ( ~ ( coll @ SV13 @ SV35 @ SV78 ) )
= $true )
| ( ( coll @ SV57 @ SV78 @ SV13 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[334]) ).
thf(351,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
| ~ ( coll @ SV88 @ SV36 @ SV79 ) )
| ~ ( coll @ SV94 @ SV14 @ SV36 ) )
| ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[335]) ).
thf(352,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) )
| ~ ( midp @ SV89 @ SV39 @ SV81 ) )
| ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[336]) ).
thf(353,plain,
! [SV41: $i,SV19: $i,SV63: $i] :
( ( ( ~ ( ~ ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
| ~ ( perp @ SV19 @ SV63 @ SV63 @ SV41 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) )
| ~ ( cong @ SV63 @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(354,plain,
! [SV82: $i,SV20: $i,SV42: $i,SV64: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
| ~ ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV20 @ SV42 )
| ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV64 @ SV82 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[338]) ).
thf(355,plain,
! [SV95: $i,SV90: $i,SV83: $i,SV66: $i,SV44: $i,SV22: $i] :
( ( ( ~ ( ~ ( perp @ SV22 @ SV44 @ SV66 @ SV83 )
| ~ ( perp @ SV66 @ SV83 @ SV90 @ SV95 ) ) )
= $false )
| ( ( para @ SV22 @ SV44 @ SV90 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[339]) ).
thf(356,plain,
! [SV46: $i,SV24: $i,SV2: $i,SV67: $i] :
( ( ( circle @ SV67 @ SV2 @ SV24 @ SV46 )
= $false )
| ( ( ~ ( coll @ SV67 @ SV2 @ SV46 ) )
= $true )
| ( ( perp @ SV2 @ SV24 @ SV24 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(357,plain,
! [SV84: $i,SV68: $i,SV25: $i,SV47: $i,SV3: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
| ~ ( coll @ SV25 @ SV68 @ SV84 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV68 @ SV84 )
| ~ ( perp @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV3 @ SV68 @ SV84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[341]) ).
thf(358,plain,
! [SV98: $i,SV96: $i,SV91: $i,SV85: $i,SV69: $i,SV48: $i,SV26: $i,SV4: $i] :
( ( ( ~ ~ ( ~ ( eqangle @ SV4 @ SV26 @ SV48 @ SV69 @ SV85 @ SV91 @ SV96 @ SV98 )
| ~ ( perp @ SV85 @ SV91 @ SV96 @ SV98 ) ) )
= $true )
| ( ( perp @ SV4 @ SV26 @ SV48 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[342]) ).
thf(359,plain,
! [SV27: $i,SV5: $i,SV70: $i,SV49: $i] :
( ( ( ~ ( ~ ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
| ~ ( cong @ SV49 @ SV5 @ SV49 @ SV27 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV27 @ SV5 @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) )
| ~ ( coll @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) @ SV49 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[343]) ).
thf(360,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
| ~ ( coll @ SV71 @ SV6 @ SV28 ) )
| ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[344]) ).
thf(361,plain,
! [SV93: $i,SV87: $i,SV72: $i,SV51: $i,SV29: $i,SV7: $i] :
( ( ( ~ ( para @ SV7 @ SV29 @ SV51 @ SV72 )
| ~ ( perp @ SV51 @ SV72 @ SV87 @ SV93 ) )
= $true )
| ( ( perp @ SV7 @ SV29 @ SV87 @ SV93 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(362,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ~ ( ~ ~ ( ~ ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
| ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[346]) ).
thf(363,plain,
! [SV31: $i,SV9: $i,SV74: $i,SV53: $i] :
( ( ( ~ ( ~ ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
| ~ ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV31 @ SV9 @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) )
| ~ ( coll @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) @ SV53 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[347]) ).
thf(364,plain,
! [SV75: $i,SV32: $i,SV54: $i,SV10: $i] :
( ( ( cong @ SV10 @ SV54 @ SV32 @ SV54 )
= $false )
| ( ( ~ ( cong @ SV10 @ SV75 @ SV32 @ SV75 ) )
= $true )
| ( ( perp @ SV10 @ SV32 @ SV54 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(365,plain,
! [SV55: $i,SV33: $i,SV11: $i,SV76: $i] :
( ( ( circle @ SV76 @ SV11 @ SV33 @ SV55 )
= $false )
| ( ( perp @ ( sK13_SY356 @ SV55 @ SV33 @ SV11 @ SV76 ) @ SV11 @ SV11 @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[349]) ).
thf(366,plain,
! [SV78: $i,SV57: $i,SV35: $i,SV13: $i] :
( ( ( coll @ SV13 @ SV35 @ SV57 )
= $false )
| ( ( ~ ( coll @ SV13 @ SV35 @ SV78 ) )
= $true )
| ( ( coll @ SV57 @ SV78 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[350]) ).
thf(367,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
| ~ ( coll @ SV88 @ SV36 @ SV79 ) )
| ~ ( coll @ SV94 @ SV14 @ SV36 ) )
| ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[351]) ).
thf(368,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) )
| ~ ( midp @ SV89 @ SV39 @ SV81 ) ) )
= $true )
| ( ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[352]) ).
thf(369,plain,
! [SV41: $i,SV19: $i,SV63: $i] :
( ( ( ~ ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
| ~ ( perp @ SV19 @ SV63 @ SV63 @ SV41 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) )
| ~ ( cong @ SV63 @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[353]) ).
thf(370,plain,
! [SV82: $i,SV20: $i,SV42: $i,SV64: $i] :
( ( ( ~ ( ~ ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
| ~ ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV20 @ SV42 )
| ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV64 @ SV82 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[354]) ).
thf(371,plain,
! [SV95: $i,SV90: $i,SV83: $i,SV66: $i,SV44: $i,SV22: $i] :
( ( ( ~ ( perp @ SV22 @ SV44 @ SV66 @ SV83 )
| ~ ( perp @ SV66 @ SV83 @ SV90 @ SV95 ) )
= $true )
| ( ( para @ SV22 @ SV44 @ SV90 @ SV95 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[355]) ).
thf(372,plain,
! [SV24: $i,SV46: $i,SV2: $i,SV67: $i] :
( ( ( coll @ SV67 @ SV2 @ SV46 )
= $false )
| ( ( circle @ SV67 @ SV2 @ SV24 @ SV46 )
= $false )
| ( ( perp @ SV2 @ SV24 @ SV24 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[356]) ).
thf(373,plain,
! [SV84: $i,SV68: $i,SV25: $i,SV47: $i,SV3: $i] :
( ( ( ~ ( ~ ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
| ~ ( coll @ SV25 @ SV68 @ SV84 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV68 @ SV84 )
| ~ ( perp @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV3 @ SV68 @ SV84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(374,plain,
! [SV98: $i,SV96: $i,SV91: $i,SV85: $i,SV69: $i,SV48: $i,SV26: $i,SV4: $i] :
( ( ( ~ ( ~ ( eqangle @ SV4 @ SV26 @ SV48 @ SV69 @ SV85 @ SV91 @ SV96 @ SV98 )
| ~ ( perp @ SV85 @ SV91 @ SV96 @ SV98 ) ) )
= $false )
| ( ( perp @ SV4 @ SV26 @ SV48 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[358]) ).
thf(375,plain,
! [SV27: $i,SV5: $i,SV70: $i,SV49: $i] :
( ( ( ~ ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
| ~ ( cong @ SV49 @ SV5 @ SV49 @ SV27 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV27 @ SV5 @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) )
| ~ ( coll @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) @ SV49 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(376,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
| ~ ( coll @ SV71 @ SV6 @ SV28 ) )
| ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[360]) ).
thf(377,plain,
! [SV93: $i,SV87: $i,SV72: $i,SV51: $i,SV29: $i,SV7: $i] :
( ( ( ~ ( para @ SV7 @ SV29 @ SV51 @ SV72 ) )
= $true )
| ( ( ~ ( perp @ SV51 @ SV72 @ SV87 @ SV93 ) )
= $true )
| ( ( perp @ SV7 @ SV29 @ SV87 @ SV93 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[361]) ).
thf(378,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ~ ~ ( ~ ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
| ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) )
| ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[362]) ).
thf(379,plain,
! [SV31: $i,SV9: $i,SV74: $i,SV53: $i] :
( ( ( ~ ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
| ~ ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV31 @ SV9 @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) )
| ~ ( coll @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) @ SV53 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[363]) ).
thf(380,plain,
! [SV54: $i,SV32: $i,SV75: $i,SV10: $i] :
( ( ( cong @ SV10 @ SV75 @ SV32 @ SV75 )
= $false )
| ( ( cong @ SV10 @ SV54 @ SV32 @ SV54 )
= $false )
| ( ( perp @ SV10 @ SV32 @ SV54 @ SV75 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[364]) ).
thf(381,plain,
! [SV57: $i,SV78: $i,SV35: $i,SV13: $i] :
( ( ( coll @ SV13 @ SV35 @ SV78 )
= $false )
| ( ( coll @ SV13 @ SV35 @ SV57 )
= $false )
| ( ( coll @ SV57 @ SV78 @ SV13 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[366]) ).
thf(382,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
| ~ ( coll @ SV88 @ SV36 @ SV79 ) )
| ~ ( coll @ SV94 @ SV14 @ SV36 ) ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[367]) ).
thf(383,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ( ~ ( ~ ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) )
| ~ ( midp @ SV89 @ SV39 @ SV81 ) ) )
= $false )
| ( ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[368]) ).
thf(384,plain,
! [SV41: $i,SV19: $i,SV63: $i] :
( ( ( ~ ( cong @ SV63 @ SV19 @ SV63 @ SV41 ) )
= $true )
| ( ( ~ ( perp @ SV19 @ SV63 @ SV63 @ SV41 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) )
| ~ ( cong @ SV63 @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[369]) ).
thf(385,plain,
! [SV82: $i,SV20: $i,SV42: $i,SV64: $i] :
( ( ( ~ ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
| ~ ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV20 @ SV42 )
| ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV64 @ SV82 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[370]) ).
thf(386,plain,
! [SV95: $i,SV90: $i,SV83: $i,SV66: $i,SV44: $i,SV22: $i] :
( ( ( ~ ( perp @ SV22 @ SV44 @ SV66 @ SV83 ) )
= $true )
| ( ( ~ ( perp @ SV66 @ SV83 @ SV90 @ SV95 ) )
= $true )
| ( ( para @ SV22 @ SV44 @ SV90 @ SV95 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[371]) ).
thf(387,plain,
! [SV84: $i,SV68: $i,SV25: $i,SV47: $i,SV3: $i] :
( ( ( ~ ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
| ~ ( coll @ SV25 @ SV68 @ SV84 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV68 @ SV84 )
| ~ ( perp @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV3 @ SV68 @ SV84 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[373]) ).
thf(388,plain,
! [SV98: $i,SV96: $i,SV91: $i,SV85: $i,SV69: $i,SV48: $i,SV26: $i,SV4: $i] :
( ( ( ~ ( eqangle @ SV4 @ SV26 @ SV48 @ SV69 @ SV85 @ SV91 @ SV96 @ SV98 )
| ~ ( perp @ SV85 @ SV91 @ SV96 @ SV98 ) )
= $true )
| ( ( perp @ SV4 @ SV26 @ SV48 @ SV69 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[374]) ).
thf(389,plain,
! [SV27: $i,SV5: $i,SV70: $i,SV49: $i] :
( ( ( ~ ( perp @ SV49 @ SV70 @ SV5 @ SV27 ) )
= $true )
| ( ( ~ ( cong @ SV49 @ SV5 @ SV49 @ SV27 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV27 @ SV5 @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) )
| ~ ( coll @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) @ SV49 @ SV70 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[375]) ).
thf(390,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
| ~ ( coll @ SV71 @ SV6 @ SV28 ) ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[376]) ).
thf(391,plain,
! [SV93: $i,SV87: $i,SV72: $i,SV51: $i,SV29: $i,SV7: $i] :
( ( ( para @ SV7 @ SV29 @ SV51 @ SV72 )
= $false )
| ( ( ~ ( perp @ SV51 @ SV72 @ SV87 @ SV93 ) )
= $true )
| ( ( perp @ SV7 @ SV29 @ SV87 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[377]) ).
thf(392,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
| ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[378]) ).
thf(393,plain,
! [SV31: $i,SV9: $i,SV74: $i,SV53: $i] :
( ( ( ~ ( perp @ SV53 @ SV74 @ SV9 @ SV31 ) )
= $true )
| ( ( ~ ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV31 @ SV9 @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) )
| ~ ( coll @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) @ SV53 @ SV74 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[379]) ).
thf(394,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
| ~ ( coll @ SV88 @ SV36 @ SV79 ) )
| ~ ( coll @ SV94 @ SV14 @ SV36 ) ) )
= $false )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(395,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) )
| ~ ( midp @ SV89 @ SV39 @ SV81 ) )
= $true )
| ( ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[383]) ).
thf(396,plain,
! [SV41: $i,SV19: $i,SV63: $i] :
( ( ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
= $false )
| ( ( ~ ( perp @ SV19 @ SV63 @ SV63 @ SV41 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) )
| ~ ( cong @ SV63 @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(397,plain,
! [SV82: $i,SV20: $i,SV42: $i,SV64: $i] :
( ( ( ~ ( perp @ SV64 @ SV42 @ SV42 @ SV20 ) )
= $true )
| ( ( ~ ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV20 @ SV42 )
| ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV64 @ SV82 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[385]) ).
thf(398,plain,
! [SV95: $i,SV90: $i,SV83: $i,SV66: $i,SV44: $i,SV22: $i] :
( ( ( perp @ SV22 @ SV44 @ SV66 @ SV83 )
= $false )
| ( ( ~ ( perp @ SV66 @ SV83 @ SV90 @ SV95 ) )
= $true )
| ( ( para @ SV22 @ SV44 @ SV90 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[386]) ).
thf(399,plain,
! [SV84: $i,SV68: $i,SV25: $i,SV47: $i,SV3: $i] :
( ( ( ~ ( perp @ SV3 @ SV47 @ SV47 @ SV25 ) )
= $true )
| ( ( ~ ( coll @ SV25 @ SV68 @ SV84 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV68 @ SV84 )
| ~ ( perp @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV3 @ SV68 @ SV84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[387]) ).
thf(400,plain,
! [SV98: $i,SV96: $i,SV91: $i,SV85: $i,SV69: $i,SV48: $i,SV26: $i,SV4: $i] :
( ( ( ~ ( eqangle @ SV4 @ SV26 @ SV48 @ SV69 @ SV85 @ SV91 @ SV96 @ SV98 ) )
= $true )
| ( ( ~ ( perp @ SV85 @ SV91 @ SV96 @ SV98 ) )
= $true )
| ( ( perp @ SV4 @ SV26 @ SV48 @ SV69 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[388]) ).
thf(401,plain,
! [SV27: $i,SV5: $i,SV70: $i,SV49: $i] :
( ( ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
= $false )
| ( ( ~ ( cong @ SV49 @ SV5 @ SV49 @ SV27 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV27 @ SV5 @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) )
| ~ ( coll @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) @ SV49 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(402,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
| ~ ( coll @ SV71 @ SV6 @ SV28 ) ) )
= $false )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[390]) ).
thf(403,plain,
! [SV29: $i,SV7: $i,SV93: $i,SV87: $i,SV72: $i,SV51: $i] :
( ( ( perp @ SV51 @ SV72 @ SV87 @ SV93 )
= $false )
| ( ( para @ SV7 @ SV29 @ SV51 @ SV72 )
= $false )
| ( ( perp @ SV7 @ SV29 @ SV87 @ SV93 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(404,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ( ~ ( ~ ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
| ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(405,plain,
! [SV31: $i,SV9: $i,SV74: $i,SV53: $i] :
( ( ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
= $false )
| ( ( ~ ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV31 @ SV9 @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) )
| ~ ( coll @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) @ SV53 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(406,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
| ~ ( coll @ SV88 @ SV36 @ SV79 ) )
| ~ ( coll @ SV94 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[394]) ).
thf(407,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ( ~ ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) ) )
= $true )
| ( ( ~ ( midp @ SV89 @ SV39 @ SV81 ) )
= $true )
| ( ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[395]) ).
thf(408,plain,
! [SV41: $i,SV63: $i,SV19: $i] :
( ( ( perp @ SV19 @ SV63 @ SV63 @ SV41 )
= $false )
| ( ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
= $false )
| ( ( ~ ( ~ ( coll @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) )
| ~ ( cong @ SV63 @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[396]) ).
thf(409,plain,
! [SV82: $i,SV20: $i,SV42: $i,SV64: $i] :
( ( ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
= $false )
| ( ( ~ ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV20 @ SV42 )
| ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV64 @ SV82 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(410,plain,
! [SV44: $i,SV22: $i,SV95: $i,SV90: $i,SV83: $i,SV66: $i] :
( ( ( perp @ SV66 @ SV83 @ SV90 @ SV95 )
= $false )
| ( ( perp @ SV22 @ SV44 @ SV66 @ SV83 )
= $false )
| ( ( para @ SV22 @ SV44 @ SV90 @ SV95 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[398]) ).
thf(411,plain,
! [SV84: $i,SV68: $i,SV25: $i,SV47: $i,SV3: $i] :
( ( ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
= $false )
| ( ( ~ ( coll @ SV25 @ SV68 @ SV84 ) )
= $true )
| ( ( ~ ( ~ ( coll @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV68 @ SV84 )
| ~ ( perp @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV3 @ SV68 @ SV84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[399]) ).
thf(412,plain,
! [SV98: $i,SV96: $i,SV91: $i,SV85: $i,SV69: $i,SV48: $i,SV26: $i,SV4: $i] :
( ( ( eqangle @ SV4 @ SV26 @ SV48 @ SV69 @ SV85 @ SV91 @ SV96 @ SV98 )
= $false )
| ( ( ~ ( perp @ SV85 @ SV91 @ SV96 @ SV98 ) )
= $true )
| ( ( perp @ SV4 @ SV26 @ SV48 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[400]) ).
thf(413,plain,
! [SV70: $i,SV27: $i,SV5: $i,SV49: $i] :
( ( ( cong @ SV49 @ SV5 @ SV49 @ SV27 )
= $false )
| ( ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
= $false )
| ( ( ~ ( ~ ( coll @ SV27 @ SV5 @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) )
| ~ ( coll @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) @ SV49 @ SV70 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[401]) ).
thf(414,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
| ~ ( coll @ SV71 @ SV6 @ SV28 ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[402]) ).
thf(415,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ( ~ ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
| ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[404]) ).
thf(416,plain,
! [SV31: $i,SV74: $i,SV53: $i,SV9: $i] :
( ( ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 )
= $false )
| ( ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
= $false )
| ( ( ~ ( ~ ( coll @ SV31 @ SV9 @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) )
| ~ ( coll @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) @ SV53 @ SV74 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[405]) ).
thf(417,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
| ~ ( coll @ SV88 @ SV36 @ SV79 ) ) )
= $true )
| ( ( ~ ( coll @ SV94 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[406]) ).
thf(418,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ( ~ ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) ) )
= $false )
| ( ( ~ ( midp @ SV89 @ SV39 @ SV81 ) )
= $true )
| ( ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[407]) ).
thf(419,plain,
! [SV41: $i,SV63: $i,SV19: $i] :
( ( ( ~ ( coll @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) )
| ~ ( cong @ SV63 @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) ) )
= $false )
| ( ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
= $false )
| ( ( perp @ SV19 @ SV63 @ SV63 @ SV41 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[408]) ).
thf(420,plain,
! [SV20: $i,SV42: $i,SV64: $i,SV82: $i] :
( ( ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 )
= $false )
| ( ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV20 @ SV42 )
| ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV64 @ SV82 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[409]) ).
thf(421,plain,
! [SV47: $i,SV3: $i,SV84: $i,SV68: $i,SV25: $i] :
( ( ( coll @ SV25 @ SV68 @ SV84 )
= $false )
| ( ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
= $false )
| ( ( ~ ( ~ ( coll @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV68 @ SV84 )
| ~ ( perp @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV3 @ SV68 @ SV84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[411]) ).
thf(422,plain,
! [SV69: $i,SV48: $i,SV26: $i,SV4: $i,SV98: $i,SV96: $i,SV91: $i,SV85: $i] :
( ( ( perp @ SV85 @ SV91 @ SV96 @ SV98 )
= $false )
| ( ( eqangle @ SV4 @ SV26 @ SV48 @ SV69 @ SV85 @ SV91 @ SV96 @ SV98 )
= $false )
| ( ( perp @ SV4 @ SV26 @ SV48 @ SV69 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[412]) ).
thf(423,plain,
! [SV49: $i,SV70: $i,SV5: $i,SV27: $i] :
( ( ( ~ ( coll @ SV27 @ SV5 @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) )
| ~ ( coll @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) @ SV49 @ SV70 ) )
= $false )
| ( ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
= $false )
| ( ( cong @ SV49 @ SV5 @ SV49 @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[413]) ).
thf(424,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) ) )
= $true )
| ( ( ~ ( coll @ SV71 @ SV6 @ SV28 ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(425,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ( ~ ( perp @ SV8 @ SV73 @ SV30 @ SV52 ) )
= $true )
| ( ( ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(426,plain,
! [SV53: $i,SV74: $i,SV9: $i,SV31: $i] :
( ( ( ~ ( coll @ SV31 @ SV9 @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) )
| ~ ( coll @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) @ SV53 @ SV74 ) )
= $false )
| ( ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
= $false )
| ( ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[416]) ).
thf(427,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ( ~ ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
| ~ ( coll @ SV88 @ SV36 @ SV79 ) ) )
= $false )
| ( ( ~ ( coll @ SV94 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(428,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
| ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) )
= $true )
| ( ( ~ ( midp @ SV89 @ SV39 @ SV81 ) )
= $true )
| ( ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[418]) ).
thf(429,plain,
! [SV41: $i,SV63: $i,SV19: $i] :
( ( ( ~ ( coll @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) ) )
= $false )
| ( ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
= $false )
| ( ( perp @ SV19 @ SV63 @ SV63 @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(430,plain,
! [SV41: $i,SV19: $i,SV63: $i] :
( ( ( ~ ( cong @ SV63 @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) ) )
= $false )
| ( ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
= $false )
| ( ( perp @ SV19 @ SV63 @ SV63 @ SV41 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[419]) ).
thf(431,plain,
! [SV64: $i,SV42: $i,SV20: $i,SV82: $i] :
( ( ( ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV20 @ SV42 )
| ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV64 @ SV82 ) )
= $false )
| ( ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
= $false )
| ( ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[420]) ).
thf(432,plain,
! [SV3: $i,SV47: $i,SV25: $i,SV68: $i,SV84: $i] :
( ( ( ~ ( coll @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV68 @ SV84 )
| ~ ( perp @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV3 @ SV68 @ SV84 ) )
= $false )
| ( ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
= $false )
| ( ( coll @ SV25 @ SV68 @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[421]) ).
thf(433,plain,
! [SV49: $i,SV70: $i,SV5: $i,SV27: $i] :
( ( ( ~ ( coll @ SV27 @ SV5 @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) ) )
= $false )
| ( ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
= $false )
| ( ( cong @ SV49 @ SV5 @ SV49 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(434,plain,
! [SV49: $i,SV70: $i,SV5: $i,SV27: $i] :
( ( ( ~ ( coll @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) @ SV49 @ SV70 ) )
= $false )
| ( ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
= $false )
| ( ( cong @ SV49 @ SV5 @ SV49 @ SV27 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[423]) ).
thf(435,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ( ~ ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) ) )
= $false )
| ( ( ~ ( coll @ SV71 @ SV6 @ SV28 ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(436,plain,
! [SV52: $i,SV30: $i,SV73: $i,SV8: $i] :
( ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( ~ ( perp @ SV30 @ SV73 @ SV8 @ SV52 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[425]) ).
thf(437,plain,
! [SV53: $i,SV74: $i,SV9: $i,SV31: $i] :
( ( ( ~ ( coll @ SV31 @ SV9 @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) ) )
= $false )
| ( ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
= $false )
| ( ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[426]) ).
thf(438,plain,
! [SV53: $i,SV74: $i,SV9: $i,SV31: $i] :
( ( ( ~ ( coll @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) @ SV53 @ SV74 ) )
= $false )
| ( ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
= $false )
| ( ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[426]) ).
thf(439,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
| ~ ( coll @ SV88 @ SV36 @ SV79 ) )
= $true )
| ( ( ~ ( coll @ SV94 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[427]) ).
thf(440,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ( ~ ( perp @ SV17 @ SV39 @ SV17 @ SV61 ) )
= $true )
| ( ( ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) )
= $true )
| ( ( ~ ( midp @ SV89 @ SV39 @ SV81 ) )
= $true )
| ( ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(441,plain,
! [SV41: $i,SV63: $i,SV19: $i] :
( ( ( coll @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) )
= $true )
| ( ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
= $false )
| ( ( perp @ SV19 @ SV63 @ SV63 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[429]) ).
thf(442,plain,
! [SV41: $i,SV19: $i,SV63: $i] :
( ( ( cong @ SV63 @ SV19 @ SV63 @ ( sK9_SY334 @ SV41 @ SV19 @ SV63 ) )
= $true )
| ( ( cong @ SV63 @ SV19 @ SV63 @ SV41 )
= $false )
| ( ( perp @ SV19 @ SV63 @ SV63 @ SV41 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(443,plain,
! [SV64: $i,SV42: $i,SV20: $i,SV82: $i] :
( ( ( ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV20 @ SV42 ) )
= $false )
| ( ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
= $false )
| ( ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(444,plain,
! [SV64: $i,SV42: $i,SV20: $i,SV82: $i] :
( ( ( ~ ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV64 @ SV82 ) )
= $false )
| ( ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
= $false )
| ( ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[431]) ).
thf(445,plain,
! [SV3: $i,SV47: $i,SV25: $i,SV68: $i,SV84: $i] :
( ( ( ~ ( coll @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV68 @ SV84 ) )
= $false )
| ( ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
= $false )
| ( ( coll @ SV25 @ SV68 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(446,plain,
! [SV3: $i,SV47: $i,SV25: $i,SV68: $i,SV84: $i] :
( ( ( ~ ( perp @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV3 @ SV68 @ SV84 ) )
= $false )
| ( ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
= $false )
| ( ( coll @ SV25 @ SV68 @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[432]) ).
thf(447,plain,
! [SV49: $i,SV70: $i,SV5: $i,SV27: $i] :
( ( ( coll @ SV27 @ SV5 @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) )
= $true )
| ( ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
= $false )
| ( ( cong @ SV49 @ SV5 @ SV49 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[433]) ).
thf(448,plain,
! [SV49: $i,SV70: $i,SV5: $i,SV27: $i] :
( ( ( coll @ ( sK10_SY346 @ SV27 @ SV5 @ SV70 @ SV49 ) @ SV49 @ SV70 )
= $true )
| ( ( perp @ SV49 @ SV70 @ SV5 @ SV27 )
= $false )
| ( ( cong @ SV49 @ SV5 @ SV49 @ SV27 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[434]) ).
thf(449,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
| ~ ( coll @ SV50 @ SV6 @ SV28 ) )
= $true )
| ( ( ~ ( coll @ SV71 @ SV6 @ SV28 ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[435]) ).
thf(450,plain,
! [SV52: $i,SV8: $i,SV73: $i,SV30: $i] :
( ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[436]) ).
thf(451,plain,
! [SV53: $i,SV74: $i,SV9: $i,SV31: $i] :
( ( ( coll @ SV31 @ SV9 @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) )
= $true )
| ( ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
= $false )
| ( ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[437]) ).
thf(452,plain,
! [SV53: $i,SV74: $i,SV9: $i,SV31: $i] :
( ( ( coll @ ( sK12_SY355 @ SV31 @ SV9 @ SV74 @ SV53 ) @ SV53 @ SV74 )
= $true )
| ( ( perp @ SV53 @ SV74 @ SV9 @ SV31 )
= $false )
| ( ( eqangle @ SV9 @ SV53 @ SV53 @ SV74 @ SV53 @ SV74 @ SV53 @ SV31 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[438]) ).
thf(453,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ( ~ ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) ) )
= $true )
| ( ( ~ ( coll @ SV88 @ SV36 @ SV79 ) )
= $true )
| ( ( ~ ( coll @ SV94 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[439]) ).
thf(454,plain,
! [SV89: $i,SV81: $i,SV61: $i,SV39: $i,SV17: $i] :
( ( ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
= $false )
| ( ( ~ ( perp @ SV61 @ SV17 @ SV61 @ SV81 ) )
= $true )
| ( ( ~ ( midp @ SV89 @ SV39 @ SV81 ) )
= $true )
| ( ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(455,plain,
! [SV64: $i,SV42: $i,SV20: $i,SV82: $i] :
( ( ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV20 @ SV42 )
= $true )
| ( ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
= $false )
| ( ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[443]) ).
thf(456,plain,
! [SV64: $i,SV42: $i,SV20: $i,SV82: $i] :
( ( ( coll @ ( sK14_SY362 @ SV82 @ SV20 @ SV42 @ SV64 ) @ SV64 @ SV82 )
= $true )
| ( ( perp @ SV64 @ SV42 @ SV42 @ SV20 )
= $false )
| ( ( eqangle @ SV82 @ SV64 @ SV42 @ SV64 @ SV42 @ SV64 @ SV20 @ SV64 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[444]) ).
thf(457,plain,
! [SV3: $i,SV47: $i,SV25: $i,SV68: $i,SV84: $i] :
( ( ( coll @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV68 @ SV84 )
= $true )
| ( ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
= $false )
| ( ( coll @ SV25 @ SV68 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[445]) ).
thf(458,plain,
! [SV3: $i,SV47: $i,SV25: $i,SV68: $i,SV84: $i] :
( ( ( perp @ ( sK15_SY365 @ SV84 @ SV68 @ SV25 @ SV47 @ SV3 ) @ SV3 @ SV68 @ SV84 )
= $true )
| ( ( perp @ SV3 @ SV47 @ SV47 @ SV25 )
= $false )
| ( ( coll @ SV25 @ SV68 @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[446]) ).
thf(459,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ( ~ ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) ) )
= $true )
| ( ( ~ ( coll @ SV50 @ SV6 @ SV28 ) )
= $true )
| ( ( ~ ( coll @ SV71 @ SV6 @ SV28 ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[449]) ).
thf(460,plain,
! [SV8: $i,SV73: $i,SV30: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
| ~ ( perp @ SV30 @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
= $false )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[450]) ).
thf(461,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ( ~ ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) ) )
= $false )
| ( ( ~ ( coll @ SV88 @ SV36 @ SV79 ) )
= $true )
| ( ( ~ ( coll @ SV94 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(462,plain,
! [SV89: $i,SV39: $i,SV81: $i,SV17: $i,SV61: $i] :
( ( ( perp @ SV61 @ SV17 @ SV61 @ SV81 )
= $false )
| ( ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
= $false )
| ( ( ~ ( midp @ SV89 @ SV39 @ SV81 ) )
= $true )
| ( ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(463,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ( ~ ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) ) )
= $false )
| ( ( ~ ( coll @ SV50 @ SV6 @ SV28 ) )
= $true )
| ( ( ~ ( coll @ SV71 @ SV6 @ SV28 ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(464,plain,
! [SV8: $i,SV73: $i,SV30: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) ) )
= $false )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(465,plain,
! [SV8: $i,SV73: $i,SV52: $i,SV30: $i] :
( ( ( ~ ( perp @ SV30 @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
= $false )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[460]) ).
thf(466,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 )
| ~ ( coll @ SV88 @ SV14 @ SV58 ) )
= $true )
| ( ( ~ ( coll @ SV88 @ SV36 @ SV79 ) )
= $true )
| ( ( ~ ( coll @ SV94 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(467,plain,
! [SV61: $i,SV17: $i,SV81: $i,SV39: $i,SV89: $i] :
( ( ( midp @ SV89 @ SV39 @ SV81 )
= $false )
| ( ( perp @ SV17 @ SV39 @ SV17 @ SV61 )
= $false )
| ( ( perp @ SV61 @ SV17 @ SV61 @ SV81 )
= $false )
| ( ( midp @ ( sK16_SY375 @ SV89 @ SV81 @ SV61 @ SV39 @ SV17 ) @ SV17 @ SV61 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[462]) ).
thf(468,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ( ~ ( midp @ SV86 @ SV6 @ SV28 )
| ~ ( midp @ SV92 @ SV50 @ SV71 ) )
= $true )
| ( ( ~ ( coll @ SV50 @ SV6 @ SV28 ) )
= $true )
| ( ( ~ ( coll @ SV71 @ SV6 @ SV28 ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(469,plain,
! [SV8: $i,SV73: $i,SV30: $i,SV52: $i] :
( ( ( ~ ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) ) )
= $true )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(470,plain,
! [SV8: $i,SV73: $i,SV52: $i,SV30: $i] :
( ( ( perp @ SV30 @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 )
= $true )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(471,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ( ~ ( para @ SV14 @ SV36 @ SV58 @ SV79 ) )
= $true )
| ( ( ~ ( coll @ SV88 @ SV14 @ SV58 ) )
= $true )
| ( ( ~ ( coll @ SV88 @ SV36 @ SV79 ) )
= $true )
| ( ( ~ ( coll @ SV94 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[466]) ).
thf(472,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ( ~ ( midp @ SV86 @ SV6 @ SV28 ) )
= $true )
| ( ( ~ ( midp @ SV92 @ SV50 @ SV71 ) )
= $true )
| ( ( ~ ( coll @ SV50 @ SV6 @ SV28 ) )
= $true )
| ( ( ~ ( coll @ SV71 @ SV6 @ SV28 ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[468]) ).
thf(473,plain,
! [SV8: $i,SV73: $i,SV30: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
| ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
= $false )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[469]) ).
thf(474,plain,
! [SV94: $i,SV88: $i,SV79: $i,SV58: $i,SV36: $i,SV14: $i] :
( ( ( para @ SV14 @ SV36 @ SV58 @ SV79 )
= $false )
| ( ( ~ ( coll @ SV88 @ SV14 @ SV58 ) )
= $true )
| ( ( ~ ( coll @ SV88 @ SV36 @ SV79 ) )
= $true )
| ( ( ~ ( coll @ SV94 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(475,plain,
! [SV97: $i,SV71: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV86: $i] :
( ( ( midp @ SV86 @ SV6 @ SV28 )
= $false )
| ( ( ~ ( midp @ SV92 @ SV50 @ SV71 ) )
= $true )
| ( ( ~ ( coll @ SV50 @ SV6 @ SV28 ) )
= $true )
| ( ( ~ ( coll @ SV71 @ SV6 @ SV28 ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(476,plain,
! [SV8: $i,SV73: $i,SV30: $i,SV52: $i] :
( ( ( ~ ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) ) )
= $false )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[473]) ).
thf(477,plain,
! [SV8: $i,SV73: $i,SV30: $i,SV52: $i] :
( ( ( ~ ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 ) )
= $false )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[473]) ).
thf(478,plain,
! [SV94: $i,SV79: $i,SV36: $i,SV58: $i,SV14: $i,SV88: $i] :
( ( ( coll @ SV88 @ SV14 @ SV58 )
= $false )
| ( ( para @ SV14 @ SV36 @ SV58 @ SV79 )
= $false )
| ( ( ~ ( coll @ SV88 @ SV36 @ SV79 ) )
= $true )
| ( ( ~ ( coll @ SV94 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[474]) ).
thf(479,plain,
! [SV97: $i,SV28: $i,SV6: $i,SV86: $i,SV71: $i,SV50: $i,SV92: $i] :
( ( ( midp @ SV92 @ SV50 @ SV71 )
= $false )
| ( ( midp @ SV86 @ SV6 @ SV28 )
= $false )
| ( ( ~ ( coll @ SV50 @ SV6 @ SV28 ) )
= $true )
| ( ( ~ ( coll @ SV71 @ SV6 @ SV28 ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(480,plain,
! [SV8: $i,SV73: $i,SV30: $i,SV52: $i] :
( ( ( ~ ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) ) )
= $true )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[476]) ).
thf(481,plain,
! [SV8: $i,SV73: $i,SV30: $i,SV52: $i] :
( ( ( coll @ ( sK19_SY381 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV8 )
= $true )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[477]) ).
thf(482,plain,
! [SV94: $i,SV58: $i,SV14: $i,SV79: $i,SV36: $i,SV88: $i] :
( ( ( coll @ SV88 @ SV36 @ SV79 )
= $false )
| ( ( para @ SV14 @ SV36 @ SV58 @ SV79 )
= $false )
| ( ( coll @ SV88 @ SV14 @ SV58 )
= $false )
| ( ( ~ ( coll @ SV94 @ SV14 @ SV36 ) )
= $true )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(483,plain,
! [SV97: $i,SV71: $i,SV92: $i,SV86: $i,SV28: $i,SV6: $i,SV50: $i] :
( ( ( coll @ SV50 @ SV6 @ SV28 )
= $false )
| ( ( midp @ SV86 @ SV6 @ SV28 )
= $false )
| ( ( midp @ SV92 @ SV50 @ SV71 )
= $false )
| ( ( ~ ( coll @ SV71 @ SV6 @ SV28 ) )
= $true )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[479]) ).
thf(484,plain,
! [SV8: $i,SV73: $i,SV30: $i,SV52: $i] :
( ( ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
| ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
= $false )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(485,plain,
! [SV79: $i,SV58: $i,SV88: $i,SV36: $i,SV14: $i,SV94: $i] :
( ( ( coll @ SV94 @ SV14 @ SV36 )
= $false )
| ( ( coll @ SV88 @ SV14 @ SV58 )
= $false )
| ( ( para @ SV14 @ SV36 @ SV58 @ SV79 )
= $false )
| ( ( coll @ SV88 @ SV36 @ SV79 )
= $false )
| ( ( ~ ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(486,plain,
! [SV97: $i,SV86: $i,SV50: $i,SV92: $i,SV28: $i,SV6: $i,SV71: $i] :
( ( ( coll @ SV71 @ SV6 @ SV28 )
= $false )
| ( ( midp @ SV92 @ SV50 @ SV71 )
= $false )
| ( ( midp @ SV86 @ SV6 @ SV28 )
= $false )
| ( ( coll @ SV50 @ SV6 @ SV28 )
= $false )
| ( ( midp @ ( sK18_SY384 @ SV97 @ SV71 @ SV50 @ SV92 @ SV28 @ SV6 @ SV86 ) @ SV6 @ SV97 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(487,plain,
! [SV8: $i,SV73: $i,SV30: $i,SV52: $i] :
( ( ( ~ ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
= $false )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(488,plain,
! [SV73: $i,SV30: $i,SV52: $i,SV8: $i] :
( ( ( ~ ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 ) )
= $false )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[484]) ).
thf(489,plain,
! [SV14: $i,SV36: $i,SV58: $i,SV79: $i,SV94: $i,SV88: $i] :
( ( ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
| ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) )
= $false )
| ( ( coll @ SV88 @ SV36 @ SV79 )
= $false )
| ( ( para @ SV14 @ SV36 @ SV58 @ SV79 )
= $false )
| ( ( coll @ SV88 @ SV14 @ SV58 )
= $false )
| ( ( coll @ SV94 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[485]) ).
thf(490,plain,
! [SV8: $i,SV73: $i,SV30: $i,SV52: $i] :
( ( ( coll @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
= $true )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(491,plain,
! [SV73: $i,SV30: $i,SV52: $i,SV8: $i] :
( ( ( perp @ SV8 @ ( sK11_SY353 @ SV52 @ SV30 @ SV73 @ SV8 ) @ SV52 @ SV30 )
= $true )
| ( ( perp @ SV8 @ SV73 @ SV30 @ SV52 )
= $false )
| ( ( perp @ SV30 @ SV73 @ SV8 @ SV52 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(492,plain,
! [SV14: $i,SV36: $i,SV58: $i,SV79: $i,SV94: $i,SV88: $i] :
( ( ( ~ ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) ) )
= $false )
| ( ( coll @ SV88 @ SV36 @ SV79 )
= $false )
| ( ( para @ SV14 @ SV36 @ SV58 @ SV79 )
= $false )
| ( ( coll @ SV88 @ SV14 @ SV58 )
= $false )
| ( ( coll @ SV94 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(493,plain,
! [SV14: $i,SV36: $i,SV58: $i,SV79: $i,SV88: $i,SV94: $i] :
( ( ( ~ ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 ) )
= $false )
| ( ( coll @ SV88 @ SV36 @ SV79 )
= $false )
| ( ( para @ SV14 @ SV36 @ SV58 @ SV79 )
= $false )
| ( ( coll @ SV88 @ SV14 @ SV58 )
= $false )
| ( ( coll @ SV94 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[489]) ).
thf(494,plain,
! [SV14: $i,SV36: $i,SV58: $i,SV79: $i,SV94: $i,SV88: $i] :
( ( ( coll @ SV88 @ SV94 @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) )
= $true )
| ( ( coll @ SV88 @ SV36 @ SV79 )
= $false )
| ( ( para @ SV14 @ SV36 @ SV58 @ SV79 )
= $false )
| ( ( coll @ SV88 @ SV14 @ SV58 )
= $false )
| ( ( coll @ SV94 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[492]) ).
thf(495,plain,
! [SV14: $i,SV36: $i,SV58: $i,SV79: $i,SV88: $i,SV94: $i] :
( ( ( coll @ ( sK17_SY382 @ SV94 @ SV88 @ SV79 @ SV58 @ SV36 @ SV14 ) @ SV58 @ SV79 )
= $true )
| ( ( coll @ SV88 @ SV36 @ SV79 )
= $false )
| ( ( para @ SV14 @ SV36 @ SV58 @ SV79 )
= $false )
| ( ( coll @ SV88 @ SV14 @ SV58 )
= $false )
| ( ( coll @ SV94 @ SV14 @ SV36 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[493]) ).
thf(496,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[162,495,494,491,490,486,481,470,467,458,457,456,455,452,451,448,447,442,441,422,410,403,381,380,372,365,319,316,304,301,298,284,195,171,170,169,168,167,166,165,164,163]) ).
thf(497,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO566+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n020.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 10:18:51 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.83/1.13
% 4.83/1.13 No.of.Axioms: 22
% 4.83/1.13
% 4.83/1.13 Length.of.Defs: 0
% 4.83/1.13
% 4.83/1.13 Contains.Choice.Funs: false
% 4.83/1.13 ......................
% 4.83/1.13
% 4.83/1.13 ********************************
% 4.83/1.13 * All subproblems solved! *
% 4.83/1.13 ********************************
% 4.83/1.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:32,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:496,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.83/1.13
% 4.83/1.13 %**** Beginning of derivation protocol ****
% 4.83/1.13 % SZS output start CNFRefutation
% See solution above
% 4.83/1.14
% 4.83/1.14 %**** End of derivation protocol ****
% 4.83/1.14 %**** no. of clauses in derivation: 425 ****
% 4.83/1.14 %**** clause counter: 496 ****
% 4.83/1.14
% 4.83/1.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:32,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:496,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------