TSTP Solution File: GEO169+2 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEO169+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mETkynP2D9 true
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 23:57:03 EDT 2023
% Result : Theorem 79.10s 11.90s
% Output : Refutation 79.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 65
% Number of leaves : 73
% Syntax : Number of formulae : 2019 ( 536 unt; 25 typ; 0 def)
% Number of atoms : 6338 (2864 equ; 0 cnn)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 14166 (2689 ~;2733 |; 623 &;7133 @)
% ( 0 <=>; 17 =>; 971 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 25 usr; 21 con; 0-2 aty)
% Number of variables : 1174 ( 0 ^;1172 !; 2 ?;1174 :)
% Comments :
%------------------------------------------------------------------------------
thf(goal_type,type,
goal: $o ).
thf(a3_type,type,
a3: $i ).
thf(a2a3_type,type,
a2a3: $i ).
thf(p2_type,type,
p2: $i ).
thf(s1_type,type,
s1: $i ).
thf(a1_type,type,
a1: $i ).
thf(a3a1_type,type,
a3a1: $i ).
thf(p1_type,type,
p1: $i ).
thf(b3b1_type,type,
b3b1: $i ).
thf(a2_type,type,
a2: $i ).
thf(p3_type,type,
p3: $i ).
thf(incident_type,type,
incident: $i > $i > $o ).
thf(s3_type,type,
s3: $i ).
thf(s2_type,type,
s2: $i ).
thf(line_type,type,
line: $i > $o ).
thf(a1a2_type,type,
a1a2: $i ).
thf(b1_type,type,
b1: $i ).
thf(sk__1_type,type,
sk__1: $i > $i > $i ).
thf(b1b2_type,type,
b1b2: $i ).
thf(b2b3_type,type,
b2b3: $i ).
thf(point_type,type,
point: $i > $o ).
thf(b3_type,type,
b3: $i ).
thf(s_type,type,
s: $i ).
thf(sk__type,type,
sk_: $i > $i > $i ).
thf(b2_type,type,
b2: $i ).
thf(gap1,axiom,
( ( incident @ a1 @ b2b3 )
| ( incident @ b3 @ a1a2 ) ) ).
thf(zip_derived_cl3,plain,
( ( incident @ a1 @ b2b3 )
| ( incident @ b3 @ a1a2 ) ),
inference(cnf,[status(esa)],[gap1]) ).
thf(zip_derived_cl65,plain,
( ( incident @ b3 @ a1a2 )
<= ( incident @ b3 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(ia1a2,axiom,
incident @ a1 @ a1a2 ).
thf(zip_derived_cl6,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(unique,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( ( incident @ A @ C )
& ( incident @ A @ D )
& ( incident @ B @ C )
& ( incident @ B @ D ) )
=> ( ( A = B )
| ( C = D ) ) ) ).
thf(zip_derived_cl49,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl210,plain,
! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ a1a2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( a1a2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl49]) ).
thf(zip_derived_cl665,plain,
( ! [X0: $i] :
( ( b3 = a1 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a1a2 = X0 ) )
<= ( incident @ b3 @ a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl210]) ).
thf('0',plain,
( ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b3 @ X0 ) )
| ~ ( incident @ b3 @ a1a2 )
| ( b3 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl665]) ).
thf(zip_derived_cl65_001,plain,
( ( incident @ b3 @ a1a2 )
<= ( incident @ b3 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(ip3a,axiom,
incident @ p3 @ a1a2 ).
thf(zip_derived_cl27,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl49_002,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl203,plain,
! [X0: $i,X1: $i] :
( ( X0 = p3 )
| ~ ( incident @ X0 @ a1a2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p3 @ X1 )
| ( a1a2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl49]) ).
thf(zip_derived_cl459,plain,
( ! [X0: $i] :
( ( b3 = p3 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 ) )
<= ( incident @ b3 @ a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl203]) ).
thf(zip_derived_cl3783,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl459]) ).
thf(ib3b1,axiom,
incident @ b3 @ b3b1 ).
thf(zip_derived_cl16,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl3788,plain,
( ( ( a1a2 = b3b1 )
| ~ ( incident @ p3 @ b3b1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3783,zip_derived_cl16]) ).
thf(zip_derived_cl4991,plain,
( ( a1a2 = b3b1 )
<= ( a1a2 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl3788]) ).
thf(ia2a1,axiom,
incident @ a2 @ a1a2 ).
thf(zip_derived_cl7,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl4993,plain,
( ( incident @ a2 @ b3b1 )
<= ( a1a2 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4991,zip_derived_cl7]) ).
thf(t_a_in_b,axiom,
( ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( incident @ a3 @ b1b2 ) )
=> goal ) ).
thf(zip_derived_cl1,plain,
( goal
| ~ ( incident @ a3 @ b1b2 )
| ~ ( incident @ a2 @ b3b1 )
| ~ ( incident @ a1 @ b2b3 ) ),
inference(cnf,[status(esa)],[t_a_in_b]) ).
thf(zip_derived_cl58,plain,
( ~ ( incident @ a2 @ b3b1 )
<= ~ ( incident @ a2 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf('1',plain,
( ( a1a2 != b3b1 )
| ( incident @ a2 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4993,zip_derived_cl58]) ).
thf(zip_derived_cl7704,plain,
( ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b3 @ X0 ) )
<= ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl665]) ).
thf(zip_derived_cl16_003,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl7709,plain,
( ( ~ ( incident @ a1 @ b3b1 )
| ( a1a2 = b3b1 ) )
<= ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7704,zip_derived_cl16]) ).
thf('2',plain,
( ~ ( incident @ a1 @ b3b1 )
| ( a1a2 = b3b1 )
| ~ ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl7709]) ).
thf(ib2b3,axiom,
incident @ b2 @ b2b3 ).
thf(zip_derived_cl14,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl66,plain,
( ( incident @ a1 @ b2b3 )
<= ( incident @ a1 @ b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl49_004,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl208,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( b2b3 = X1 ) )
<= ( incident @ a1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).
thf(zip_derived_cl243,plain,
( ! [X0: $i] :
( ( b2 = a1 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( b2b3 = X0 ) )
<= ( incident @ a1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl208]) ).
thf(zip_derived_cl769,plain,
( ( b2 = a1 )
<= ( b2 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(ib2s2,axiom,
incident @ b2 @ s2 ).
thf(zip_derived_cl25,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl790,plain,
( ( incident @ a1 @ s2 )
<= ( b2 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl769,zip_derived_cl25]) ).
thf(ia2s2,axiom,
incident @ a2 @ s2 ).
thf(zip_derived_cl22,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl49_005,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl215,plain,
! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ s2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( s2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl49]) ).
thf(zip_derived_cl923,plain,
( ! [X0: $i] :
( ( a1 = a2 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( s2 = X0 ) )
<= ( b2 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl790,zip_derived_cl215]) ).
thf(diff_a1_a2,axiom,
( ( a1 = a2 )
=> goal ) ).
thf(zip_derived_cl35,plain,
( goal
| ( a1 != a2 ) ),
inference(cnf,[status(esa)],[diff_a1_a2]) ).
thf(zip_derived_cl71,plain,
( ( a1 != a2 )
<= ( a1 != a2 ) ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf(goal_normal,axiom,
! [A: $i] :
( ( ( incident @ p3 @ A )
& ( incident @ p1 @ A )
& ( incident @ p2 @ A ) )
=> goal ) ).
thf(zip_derived_cl0,plain,
! [X0: $i] :
( goal
| ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(cnf,[status(esa)],[goal_normal]) ).
thf(zip_derived_cl56,plain,
( goal
<= goal ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf(goal_to_be_proved,conjecture,
goal ).
thf(zf_stmt_0,negated_conjecture,
~ goal,
inference('cnf.neg',[status(esa)],[goal_to_be_proved]) ).
thf(zip_derived_cl54,plain,
~ goal,
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf('3',plain,
~ goal,
inference('s_sup-',[status(thm)],[zip_derived_cl56,zip_derived_cl54]) ).
thf('4',plain,
( ( a1 != a2 )
| goal ),
inference(split,[status(esa)],[zip_derived_cl35]) ).
thf('5',plain,
a1 != a2,
inference('sat_resolution*',[status(thm)],['3','4']) ).
thf(zip_derived_cl90,plain,
a1 != a2,
inference(simpl_trail,[status(thm)],[zip_derived_cl71,'5']) ).
thf(zip_derived_cl929,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( s2 = X0 ) )
<= ( b2 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl923,zip_derived_cl90]) ).
thf(zip_derived_cl7_006,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl929_007,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( s2 = X0 ) )
<= ( b2 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl923,zip_derived_cl90]) ).
thf(zip_derived_cl997,plain,
( ( ~ ( incident @ a1 @ a1a2 )
| ( s2 = a1a2 ) )
<= ( b2 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl929]) ).
thf(zip_derived_cl6_008,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl1003,plain,
( ( s2 = a1a2 )
<= ( b2 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl997,zip_derived_cl6]) ).
thf(zip_derived_cl1029,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a1a2 = X0 ) )
<= ( b2 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl929,zip_derived_cl1003]) ).
thf(ia2a3,axiom,
incident @ a2 @ a2a3 ).
thf(zip_derived_cl8,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf(zip_derived_cl1107,plain,
( ( ( a1a2 = a2a3 )
| ~ ( incident @ a1 @ a2a3 ) )
<= ( b2 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1029,zip_derived_cl8]) ).
thf(zip_derived_cl1131,plain,
( ( a1a2 = a2a3 )
<= ( a1a2 = a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl1107]) ).
thf(zip_derived_cl6_009,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl1134,plain,
( ( incident @ a1 @ a2a3 )
<= ( a1a2 = a2a3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1131,zip_derived_cl6]) ).
thf(ia3a2,axiom,
incident @ a3 @ a2a3 ).
thf(zip_derived_cl9,plain,
incident @ a3 @ a2a3,
inference(cnf,[status(esa)],[ia3a2]) ).
thf(zip_derived_cl49_010,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl217,plain,
! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ a2a3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( a2a3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl49]) ).
thf(zip_derived_cl1172,plain,
( ! [X0: $i] :
( ( a1 = a3 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( a2a3 = X0 ) )
<= ( a1a2 = a2a3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1134,zip_derived_cl217]) ).
thf(diff_a3_a1,axiom,
( ( a3 = a1 )
=> goal ) ).
thf(zip_derived_cl37,plain,
( goal
| ( a3 != a1 ) ),
inference(cnf,[status(esa)],[diff_a3_a1]) ).
thf(zip_derived_cl75,plain,
( ( a3 != a1 )
<= ( a3 != a1 ) ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf('6',plain,
( ( a3 != a1 )
| goal ),
inference(split,[status(esa)],[zip_derived_cl37]) ).
thf('7',plain,
a3 != a1,
inference('sat_resolution*',[status(thm)],['3','6']) ).
thf(zip_derived_cl92,plain,
a3 != a1,
inference(simpl_trail,[status(thm)],[zip_derived_cl75,'7']) ).
thf(zip_derived_cl1179,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( a2a3 = X0 ) )
<= ( a1a2 = a2a3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1172,zip_derived_cl92]) ).
thf(ia3s3,axiom,
incident @ a3 @ s3 ).
thf(zip_derived_cl23,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl1706,plain,
( ( ( a2a3 = s3 )
| ~ ( incident @ a1 @ s3 ) )
<= ( a1a2 = a2a3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1179,zip_derived_cl23]) ).
thf(zip_derived_cl1787,plain,
( ( a2a3 = s3 )
<= ( a2a3 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl1706]) ).
thf(zip_derived_cl768,plain,
( ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(zip_derived_cl25_011,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl775,plain,
( ( ~ ( incident @ a1 @ s2 )
| ( b2b3 = s2 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl768,zip_derived_cl25]) ).
thf(zip_derived_cl820,plain,
( ( b2b3 = s2 )
<= ( b2b3 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl775]) ).
thf(iss2,axiom,
incident @ s @ s2 ).
thf(zip_derived_cl19,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl822,plain,
( ( incident @ s @ b2b3 )
<= ( b2b3 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl820,zip_derived_cl19]) ).
thf(zip_derived_cl769_012,plain,
( ( b2 = a1 )
<= ( b2 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(ib2b1,axiom,
incident @ b2 @ b1b2 ).
thf(zip_derived_cl13,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf(zip_derived_cl788,plain,
( ( incident @ a1 @ b1b2 )
<= ( b2 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl769,zip_derived_cl13]) ).
thf(ib1b2,axiom,
incident @ b1 @ b1b2 ).
thf(zip_derived_cl12,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl49_013,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl221,plain,
! [X0: $i,X1: $i] :
( ( X0 = b1 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b1 @ X1 )
| ( b1b2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl49]) ).
thf(zip_derived_cl1042,plain,
( ! [X0: $i] :
( ( a1 = b1 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b1b2 = X0 ) )
<= ( b2 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl788,zip_derived_cl221]) ).
thf(zip_derived_cl769_014,plain,
( ( b2 = a1 )
<= ( b2 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(diff_b1_b2,axiom,
( ( b1 = b2 )
=> goal ) ).
thf(zip_derived_cl38,plain,
( goal
| ( b1 != b2 ) ),
inference(cnf,[status(esa)],[diff_b1_b2]) ).
thf(zip_derived_cl77,plain,
( ( b1 != b2 )
<= ( b1 != b2 ) ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf('8',plain,
( ( b1 != b2 )
| goal ),
inference(split,[status(esa)],[zip_derived_cl38]) ).
thf('9',plain,
b1 != b2,
inference('sat_resolution*',[status(thm)],['3','8']) ).
thf(zip_derived_cl93,plain,
b1 != b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl77,'9']) ).
thf(zip_derived_cl793,plain,
( ( b1 != a1 )
<= ( b2 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl769,zip_derived_cl93]) ).
thf(zip_derived_cl1052,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b1b2 = X0 ) )
<= ( b2 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1042,zip_derived_cl793]) ).
thf(ib1b3,axiom,
incident @ b1 @ b3b1 ).
thf(zip_derived_cl17,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(zip_derived_cl1275,plain,
( ( ( b1b2 = b3b1 )
| ~ ( incident @ a1 @ b3b1 ) )
<= ( b2 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1052,zip_derived_cl17]) ).
thf(zip_derived_cl1349,plain,
( ( b1b2 = b3b1 )
<= ( b1b2 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl1275]) ).
thf(zip_derived_cl13_015,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf(zip_derived_cl1352,plain,
( ( incident @ b2 @ b3b1 )
<= ( b1b2 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1349,zip_derived_cl13]) ).
thf(zip_derived_cl17_016,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(zip_derived_cl49_017,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl220,plain,
! [X0: $i,X1: $i] :
( ( X0 = b1 )
| ~ ( incident @ X0 @ b3b1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b1 @ X1 )
| ( b3b1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl49]) ).
thf(zip_derived_cl1459,plain,
( ! [X0: $i] :
( ( b2 = b1 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b3b1 = X0 ) )
<= ( b1b2 = b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1352,zip_derived_cl220]) ).
thf(zip_derived_cl93_018,plain,
b1 != b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl77,'9']) ).
thf(zip_derived_cl1464,plain,
( ! [X0: $i] :
( ~ ( incident @ b2 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b3b1 = X0 ) )
<= ( b1b2 = b3b1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1459,zip_derived_cl93]) ).
thf(zip_derived_cl25_019,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl2544,plain,
( ( ( b3b1 = s2 )
| ~ ( incident @ b1 @ s2 ) )
<= ( b1b2 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1464,zip_derived_cl25]) ).
thf(zip_derived_cl2583,plain,
( ( b3b1 = s2 )
<= ( b3b1 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl2544]) ).
thf(ip1b,axiom,
incident @ p1 @ b2b3 ).
thf(zip_derived_cl30,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf(zip_derived_cl208_020,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( b2b3 = X1 ) )
<= ( incident @ a1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).
thf(zip_derived_cl241,plain,
( ! [X0: $i] :
( ( p1 = a1 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( b2b3 = X0 ) )
<= ( incident @ a1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl208]) ).
thf(zip_derived_cl249,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl6_021,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl255,plain,
( ( ( b2b3 = a1a2 )
| ~ ( incident @ p1 @ a1a2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl249,zip_derived_cl6]) ).
thf(zip_derived_cl316,plain,
( ( b2b3 = a1a2 )
<= ( b2b3 = a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zip_derived_cl7_022,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl322,plain,
( ( incident @ a2 @ b2b3 )
<= ( b2b3 = a1a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl316,zip_derived_cl7]) ).
thf(zip_derived_cl929_023,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( s2 = X0 ) )
<= ( b2 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl923,zip_derived_cl90]) ).
thf(zip_derived_cl993,plain,
( ( ~ ( incident @ a1 @ b2b3 )
| ( s2 = b2b3 ) )
<= ( ( b2b3 = a1a2 )
& ( b2 = a1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl929]) ).
thf(zip_derived_cl769_024,plain,
( ( b2 = a1 )
<= ( b2 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(zip_derived_cl14_025,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl789,plain,
( ( incident @ a1 @ b2b3 )
<= ( b2 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl769,zip_derived_cl14]) ).
thf(zip_derived_cl1001,plain,
( ( s2 = b2b3 )
<= ( ( b2b3 = a1a2 )
& ( b2 = a1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl993,zip_derived_cl789]) ).
thf(zip_derived_cl2594,plain,
( ( b3b1 = b2b3 )
<= ( ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl1001]) ).
thf(gap2,axiom,
( ( incident @ a2 @ b3b1 )
| ( incident @ b1 @ a2a3 ) ) ).
thf(zip_derived_cl4,plain,
( ( incident @ a2 @ b3b1 )
| ( incident @ b1 @ a2a3 ) ),
inference(cnf,[status(esa)],[gap2]) ).
thf(zip_derived_cl68,plain,
( ( incident @ a2 @ b3b1 )
<= ( incident @ a2 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl49_026,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl212,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ b3b1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( b3b1 = X1 ) )
<= ( incident @ a2 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl49]) ).
thf(zip_derived_cl2610,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( b2b3 = X1 ) )
<= ( ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2594,zip_derived_cl212]) ).
thf(zip_derived_cl2801,plain,
( ! [X0: $i] :
( ( s = a2 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl2610]) ).
thf(zip_derived_cl3010,plain,
( ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2801]) ).
thf(iss3,axiom,
incident @ s @ s3 ).
thf(zip_derived_cl20,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl3024,plain,
( ( ~ ( incident @ a2 @ s3 )
| ( b2b3 = s3 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3010,zip_derived_cl20]) ).
thf(zip_derived_cl3314,plain,
( ~ ( incident @ a2 @ s3 )
<= ~ ( incident @ a2 @ s3 ) ),
inference(split,[status(esa)],[zip_derived_cl3024]) ).
thf(zip_derived_cl3317,plain,
( ~ ( incident @ a2 @ a2a3 )
<= ( ~ ( incident @ a2 @ s3 )
& ( a2a3 = s3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1787,zip_derived_cl3314]) ).
thf(zip_derived_cl8_027,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf('10',plain,
( ( a2a3 != s3 )
| ( incident @ a2 @ s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl3317,zip_derived_cl8]) ).
thf(zip_derived_cl19_028,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl215_029,plain,
! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ s2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( s2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl49]) ).
thf(zip_derived_cl838,plain,
! [X0: $i] :
( ( s = a2 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( s2 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl215]) ).
thf(zip_derived_cl10066,plain,
( ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl838]) ).
thf(zip_derived_cl20_030,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl10081,plain,
( ( ~ ( incident @ a2 @ s3 )
| ( s2 = s3 ) )
<= ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10066,zip_derived_cl20]) ).
thf('11',plain,
( ~ ( incident @ a2 @ s3 )
| ~ ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( s2 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl10081]) ).
thf(zip_derived_cl9_031,plain,
incident @ a3 @ a2a3,
inference(cnf,[status(esa)],[ia3a2]) ).
thf(ip1a,axiom,
incident @ p1 @ a2a3 ).
thf(zip_derived_cl29,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf(zip_derived_cl49_032,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl205,plain,
! [X0: $i,X1: $i] :
( ( X0 = p1 )
| ~ ( incident @ X0 @ a2a3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p1 @ X1 )
| ( a2a3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl49]) ).
thf(zip_derived_cl508,plain,
! [X0: $i] :
( ( a3 = p1 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl205]) ).
thf(zip_derived_cl4784,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl508]) ).
thf(zip_derived_cl23_033,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl4793,plain,
( ( ( a2a3 = s3 )
| ~ ( incident @ p1 @ s3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4784,zip_derived_cl23]) ).
thf('12',plain,
( ~ ( incident @ p1 @ s3 )
| ( a2a3 = s3 )
| ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl4793]) ).
thf(zip_derived_cl3011,plain,
( ( s = a2 )
<= ( s = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl2801]) ).
thf(iss1,axiom,
incident @ s @ s1 ).
thf(zip_derived_cl18,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl3089,plain,
( ( incident @ a2 @ s1 )
<= ( s = a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3011,zip_derived_cl18]) ).
thf(zip_derived_cl7_034,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl210_035,plain,
! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ a1a2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( a1a2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl49]) ).
thf(zip_derived_cl664,plain,
! [X0: $i] :
( ( a2 = a1 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a1a2 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl210]) ).
thf(zip_derived_cl90_036,plain,
a1 != a2,
inference(simpl_trail,[status(thm)],[zip_derived_cl71,'5']) ).
thf(zip_derived_cl675,plain,
! [X0: $i] :
( ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a1a2 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl664,zip_derived_cl90]) ).
thf(zip_derived_cl9890,plain,
( ( ~ ( incident @ a1 @ s1 )
| ( a1a2 = s1 ) )
<= ( s = a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3089,zip_derived_cl675]) ).
thf(ia1s1,axiom,
incident @ a1 @ s1 ).
thf(zip_derived_cl21,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl9916,plain,
( ( a1a2 = s1 )
<= ( s = a2 ) ),
inference(demod,[status(thm)],[zip_derived_cl9890,zip_derived_cl21]) ).
thf(ib1s1,axiom,
incident @ b1 @ s1 ).
thf(zip_derived_cl24,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl9957,plain,
( ( incident @ b1 @ a1a2 )
<= ( s = a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9916,zip_derived_cl24]) ).
thf(zip_derived_cl16_037,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl220_038,plain,
! [X0: $i,X1: $i] :
( ( X0 = b1 )
| ~ ( incident @ X0 @ b3b1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b1 @ X1 )
| ( b3b1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl49]) ).
thf(zip_derived_cl1018,plain,
! [X0: $i] :
( ( b3 = b1 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b3b1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl220]) ).
thf(diff_b3_b1,axiom,
( ( b3 = b1 )
=> goal ) ).
thf(zip_derived_cl40,plain,
( goal
| ( b3 != b1 ) ),
inference(cnf,[status(esa)],[diff_b3_b1]) ).
thf(zip_derived_cl81,plain,
( ( b3 != b1 )
<= ( b3 != b1 ) ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf('13',plain,
( ( b3 != b1 )
| goal ),
inference(split,[status(esa)],[zip_derived_cl40]) ).
thf('14',plain,
b3 != b1,
inference('sat_resolution*',[status(thm)],['3','13']) ).
thf(zip_derived_cl95,plain,
b3 != b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl81,'14']) ).
thf(zip_derived_cl1025,plain,
! [X0: $i] :
( ~ ( incident @ b3 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b3b1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1018,zip_derived_cl95]) ).
thf(zip_derived_cl65_039,plain,
( ( incident @ b3 @ a1a2 )
<= ( incident @ b3 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl15232,plain,
( ( ( b3b1 = a1a2 )
| ~ ( incident @ b1 @ a1a2 ) )
<= ( incident @ b3 @ a1a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1025,zip_derived_cl65]) ).
thf(zip_derived_cl15373,plain,
( ~ ( incident @ b1 @ a1a2 )
<= ~ ( incident @ b1 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl15232]) ).
thf('15',plain,
( ( s != a2 )
| ( incident @ b1 @ a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9957,zip_derived_cl15373]) ).
thf(ib3b2,axiom,
incident @ b3 @ b2b3 ).
thf(zip_derived_cl15,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl30_040,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf(zip_derived_cl49_041,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl204,plain,
! [X0: $i,X1: $i] :
( ( X0 = p1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p1 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl49]) ).
thf(zip_derived_cl494,plain,
! [X0: $i] :
( ( b3 = p1 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl204]) ).
thf(zip_derived_cl4491,plain,
( ( b3 = p1 )
<= ( b3 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(ib3s3,axiom,
incident @ b3 @ s3 ).
thf(zip_derived_cl26,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl4520,plain,
( ( incident @ p1 @ s3 )
<= ( b3 = p1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4491,zip_derived_cl26]) ).
thf(zip_derived_cl4490,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl26_042,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl4498,plain,
( ( ( b2b3 = s3 )
| ~ ( incident @ p1 @ s3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4490,zip_derived_cl26]) ).
thf(zip_derived_cl5805,plain,
( ~ ( incident @ p1 @ s3 )
<= ~ ( incident @ p1 @ s3 ) ),
inference(split,[status(esa)],[zip_derived_cl4498]) ).
thf('16',plain,
( ( b3 != p1 )
| ( incident @ p1 @ s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4520,zip_derived_cl5805]) ).
thf('17',plain,
( ~ ( incident @ b1 @ a1a2 )
| ( a1a2 = b3b1 )
| ~ ( incident @ b3 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl15232]) ).
thf(join,axiom,
! [A: $i,B: $i] :
( ( ( point @ A )
& ( point @ B ) )
=> ? [C: $i] :
( ( incident @ B @ C )
& ( incident @ A @ C ) ) ) ).
thf(zip_derived_cl51,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl50,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl3783_043,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl459]) ).
thf(zip_derived_cl3792,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( point @ b3 )
| ~ ( incident @ p3 @ ( sk_ @ X0 @ b3 ) )
| ( a1a2
= ( sk_ @ X0 @ b3 ) ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl3783]) ).
thf(zip_derived_cl15_044,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(sort_point,axiom,
! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( point @ A ) ) ).
thf(zip_derived_cl33,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl136,plain,
point @ b3,
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl33]) ).
thf(zip_derived_cl3800,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( incident @ p3 @ ( sk_ @ X0 @ b3 ) )
| ( a1a2
= ( sk_ @ X0 @ b3 ) ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3792,zip_derived_cl136]) ).
thf(zip_derived_cl88007,plain,
( ( ~ ( point @ p3 )
| ~ ( point @ b3 )
| ~ ( point @ p3 )
| ( a1a2
= ( sk_ @ p3 @ b3 ) ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl3800]) ).
thf(zip_derived_cl27_045,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl33_046,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl160,plain,
point @ p3,
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).
thf(zip_derived_cl136_047,plain,
point @ b3,
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl33]) ).
thf(zip_derived_cl160_048,plain,
point @ p3,
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).
thf(zip_derived_cl88057,plain,
( ( a1a2
= ( sk_ @ p3 @ b3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl88007,zip_derived_cl160,zip_derived_cl136,zip_derived_cl160]) ).
thf(zip_derived_cl20_049,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl23_050,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl49_051,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl219,plain,
! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ s3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( s3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl49]) ).
thf(zip_derived_cl958,plain,
! [X0: $i] :
( ( s = a3 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( s3 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl219]) ).
thf('18',plain,
( ! [X0: $i] :
( ( s3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( a3 = s ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl12_052,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(gap3,axiom,
( ( incident @ a3 @ b1b2 )
| ( incident @ b2 @ a3a1 ) ) ).
thf(zip_derived_cl5,plain,
( ( incident @ a3 @ b1b2 )
| ( incident @ b2 @ a3a1 ) ),
inference(cnf,[status(esa)],[gap3]) ).
thf(zip_derived_cl70,plain,
( ( incident @ a3 @ b1b2 )
<= ( incident @ a3 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl49_053,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl216,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( b1b2 = X1 ) )
<= ( incident @ a3 @ b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl49]) ).
thf(zip_derived_cl871,plain,
( ! [X0: $i] :
( ( b1 = a3 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( b1b2 = X0 ) )
<= ( incident @ a3 @ b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl216]) ).
thf(zip_derived_cl10613,plain,
( ( b1 = a3 )
<= ( b1 = a3 ) ),
inference(split,[status(esa)],[zip_derived_cl871]) ).
thf(zip_derived_cl24_054,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl10643,plain,
( ( incident @ a3 @ s1 )
<= ( b1 = a3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10613,zip_derived_cl24]) ).
thf(ia3a1,axiom,
incident @ a3 @ a3a1 ).
thf(zip_derived_cl10,plain,
incident @ a3 @ a3a1,
inference(cnf,[status(esa)],[ia3a1]) ).
thf(ia1a3,axiom,
incident @ a1 @ a3a1 ).
thf(zip_derived_cl11,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl49_055,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl209,plain,
! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ a3a1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( a3a1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl49]) ).
thf(zip_derived_cl603,plain,
! [X0: $i] :
( ( a3 = a1 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a3a1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl209]) ).
thf(zip_derived_cl92_056,plain,
a3 != a1,
inference(simpl_trail,[status(thm)],[zip_derived_cl75,'7']) ).
thf(zip_derived_cl614,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a3a1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl603,zip_derived_cl92]) ).
thf(zip_derived_cl32905,plain,
( ( ~ ( incident @ a1 @ s1 )
| ( a3a1 = s1 ) )
<= ( b1 = a3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10643,zip_derived_cl614]) ).
thf(zip_derived_cl21_057,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl32945,plain,
( ( a3a1 = s1 )
<= ( b1 = a3 ) ),
inference(demod,[status(thm)],[zip_derived_cl32905,zip_derived_cl21]) ).
thf(zip_derived_cl10612,plain,
( ! [X0: $i] :
( ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ b1 @ X0 ) )
<= ! [X0: $i] :
( ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl871]) ).
thf(zip_derived_cl24_058,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl10621,plain,
( ( ~ ( incident @ a3 @ s1 )
| ( b1b2 = s1 ) )
<= ! [X0: $i] :
( ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10612,zip_derived_cl24]) ).
thf(zip_derived_cl10693,plain,
( ~ ( incident @ a3 @ s1 )
<= ~ ( incident @ a3 @ s1 ) ),
inference(split,[status(esa)],[zip_derived_cl10621]) ).
thf(zip_derived_cl32981,plain,
( ~ ( incident @ a3 @ a3a1 )
<= ( ~ ( incident @ a3 @ s1 )
& ( b1 = a3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32945,zip_derived_cl10693]) ).
thf(zip_derived_cl10_059,plain,
incident @ a3 @ a3a1,
inference(cnf,[status(esa)],[ia3a1]) ).
thf('19',plain,
( ( b1 != a3 )
| ( incident @ a3 @ s1 ) ),
inference(demod,[status(thm)],[zip_derived_cl32981,zip_derived_cl10]) ).
thf(zip_derived_cl23_060,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(meet,axiom,
! [A: $i,B: $i] :
( ( ( line @ A )
& ( line @ B ) )
=> ? [C: $i] :
( ( incident @ C @ B )
& ( incident @ C @ A ) ) ) ).
thf(zip_derived_cl52,plain,
! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ~ ( line @ X1 )
| ( incident @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[meet]) ).
thf(zip_derived_cl33_061,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl278,plain,
! [X0: $i,X1: $i] :
( ~ ( line @ X1 )
| ~ ( line @ X0 )
| ( point @ ( sk__1 @ X1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl33]) ).
thf(zip_derived_cl51_062,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl8_063,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf(zip_derived_cl205_064,plain,
! [X0: $i,X1: $i] :
( ( X0 = p1 )
| ~ ( incident @ X0 @ a2a3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p1 @ X1 )
| ( a2a3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl49]) ).
thf(zip_derived_cl507,plain,
! [X0: $i] :
( ( a2 = p1 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl205]) ).
thf(zip_derived_cl4662,plain,
( ( a2 = p1 )
<= ( a2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl6_065,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl203_066,plain,
! [X0: $i,X1: $i] :
( ( X0 = p3 )
| ~ ( incident @ X0 @ a1a2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p3 @ X1 )
| ( a1a2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl49]) ).
thf(zip_derived_cl457,plain,
! [X0: $i] :
( ( a1 = p3 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl203]) ).
thf(zip_derived_cl3567,plain,
( ( a1 = p3 )
<= ( a1 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl51_067,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl50_068,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl66_069,plain,
( ( incident @ a1 @ b2b3 )
<= ( incident @ a1 @ b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl2610_070,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( b2b3 = X1 ) )
<= ( ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2594,zip_derived_cl212]) ).
thf(zip_derived_cl2788,plain,
( ! [X0: $i] :
( ( a1 = a2 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl2610]) ).
thf(zip_derived_cl90_071,plain,
a1 != a2,
inference(simpl_trail,[status(thm)],[zip_derived_cl71,'5']) ).
thf(zip_derived_cl2807,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl2788,zip_derived_cl90]) ).
thf(zip_derived_cl2829,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( point @ a2 )
| ~ ( incident @ a1 @ ( sk_ @ X0 @ a2 ) )
| ( b2b3
= ( sk_ @ X0 @ a2 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl2807]) ).
thf(zip_derived_cl8_072,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf(zip_derived_cl33_073,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl109,plain,
point @ a2,
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl33]) ).
thf(zip_derived_cl2838,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( incident @ a1 @ ( sk_ @ X0 @ a2 ) )
| ( b2b3
= ( sk_ @ X0 @ a2 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl2829,zip_derived_cl109]) ).
thf(zip_derived_cl3059,plain,
( ( ~ ( point @ a1 )
| ~ ( point @ a2 )
| ~ ( point @ a1 )
| ( b2b3
= ( sk_ @ a1 @ a2 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl2838]) ).
thf(zip_derived_cl6_074,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl33_075,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl107,plain,
point @ a1,
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl33]) ).
thf(zip_derived_cl109_076,plain,
point @ a2,
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl33]) ).
thf(zip_derived_cl107_077,plain,
point @ a1,
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl33]) ).
thf(zip_derived_cl3061,plain,
( ( b2b3
= ( sk_ @ a1 @ a2 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3059,zip_derived_cl107,zip_derived_cl109,zip_derived_cl107]) ).
thf(zip_derived_cl3638,plain,
( ( b2b3
= ( sk_ @ p3 @ a2 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3567,zip_derived_cl3061]) ).
thf(zip_derived_cl4715,plain,
( ( b2b3
= ( sk_ @ p3 @ p1 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4662,zip_derived_cl3638]) ).
thf(zip_derived_cl52_078,plain,
! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ~ ( line @ X1 )
| ( incident @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[meet]) ).
thf(zip_derived_cl51_079,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl49_080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl201,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( point @ X1 )
| ~ ( point @ X0 )
| ( X2 = X1 )
| ~ ( incident @ X2 @ ( sk_ @ X1 @ X0 ) )
| ~ ( incident @ X2 @ X3 )
| ~ ( incident @ X1 @ X3 )
| ( ( sk_ @ X1 @ X0 )
= X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl49]) ).
thf(zip_derived_cl33_081,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sk_ @ X1 @ X0 )
= X3 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X2 @ X3 )
| ~ ( incident @ X2 @ ( sk_ @ X1 @ X0 ) )
| ( X2 = X1 )
| ~ ( point @ X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl201,zip_derived_cl33]) ).
thf(zip_derived_cl373,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( line @ X2 )
| ~ ( line @ ( sk_ @ X1 @ X0 ) )
| ( ( sk_ @ X1 @ X0 )
= X3 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ ( sk__1 @ X2 @ ( sk_ @ X1 @ X0 ) ) @ X3 )
| ( ( sk__1 @ X2 @ ( sk_ @ X1 @ X0 ) )
= X1 )
| ~ ( point @ X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl370]) ).
thf(zip_derived_cl4755,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ X1 )
| ~ ( line @ b2b3 )
| ( b2b3 = X0 )
| ~ ( incident @ p3 @ X0 )
| ~ ( incident @ ( sk__1 @ X1 @ b2b3 ) @ X0 )
| ( ( sk__1 @ X1 @ b2b3 )
= p3 )
| ~ ( point @ p1 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4715,zip_derived_cl373]) ).
thf(zip_derived_cl14_082,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(sort_line,axiom,
! [A: $i,B: $i] :
( ( incident @ A @ B )
=> ( line @ B ) ) ).
thf(zip_derived_cl34,plain,
! [X0: $i,X1: $i] :
( ( line @ X0 )
| ~ ( incident @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sort_line]) ).
thf(zip_derived_cl135,plain,
line @ b2b3,
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl34]) ).
thf(zip_derived_cl29_083,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf(zip_derived_cl33_084,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl164,plain,
point @ p1,
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl33]) ).
thf(zip_derived_cl4764,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ X1 )
| ( b2b3 = X0 )
| ~ ( incident @ p3 @ X0 )
| ~ ( incident @ ( sk__1 @ X1 @ b2b3 ) @ X0 )
| ( ( sk__1 @ X1 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4755,zip_derived_cl135,zip_derived_cl164]) ).
thf(zip_derived_cl50_085,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl4903,plain,
( ! [X0: $i,X1: $i] :
( ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ~ ( incident @ p3 @ ( sk_ @ X1 @ ( sk__1 @ X0 @ b2b3 ) ) )
| ( b2b3
= ( sk_ @ X1 @ ( sk__1 @ X0 @ b2b3 ) ) )
| ~ ( line @ X0 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) )
| ~ ( point @ X1 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4764,zip_derived_cl50]) ).
thf(zip_derived_cl5630,plain,
( ! [X0: $i] :
( ~ ( point @ p3 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( b2b3
= ( sk_ @ p3 @ ( sk__1 @ X0 @ b2b3 ) ) )
| ~ ( line @ X0 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) )
| ~ ( point @ p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl4903]) ).
thf(zip_derived_cl160_086,plain,
point @ p3,
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).
thf(zip_derived_cl160_087,plain,
point @ p3,
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).
thf(zip_derived_cl5635,plain,
( ! [X0: $i] :
( ~ ( point @ ( sk__1 @ X0 @ b2b3 ) )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( b2b3
= ( sk_ @ p3 @ ( sk__1 @ X0 @ b2b3 ) ) )
| ~ ( line @ X0 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5630,zip_derived_cl160,zip_derived_cl160]) ).
thf(zip_derived_cl5636,plain,
( ! [X0: $i] :
( ~ ( line @ X0 )
| ( b2b3
= ( sk_ @ p3 @ ( sk__1 @ X0 @ b2b3 ) ) )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5635]) ).
thf(zip_derived_cl50_088,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl5643,plain,
( ! [X0: $i] :
( ~ ( point @ ( sk__1 @ X0 @ b2b3 ) )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ~ ( line @ X0 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) )
| ~ ( point @ p3 )
| ( incident @ ( sk__1 @ X0 @ b2b3 ) @ b2b3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5636,zip_derived_cl50]) ).
thf(zip_derived_cl160_089,plain,
point @ p3,
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).
thf(zip_derived_cl5662,plain,
( ! [X0: $i] :
( ~ ( point @ ( sk__1 @ X0 @ b2b3 ) )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ~ ( line @ X0 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) )
| ( incident @ ( sk__1 @ X0 @ b2b3 ) @ b2b3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5643,zip_derived_cl160]) ).
thf(zip_derived_cl5663,plain,
( ! [X0: $i] :
( ( incident @ ( sk__1 @ X0 @ b2b3 ) @ b2b3 )
| ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5662]) ).
thf(zip_derived_cl5679,plain,
( ! [X0: $i] :
( ~ ( line @ b2b3 )
| ~ ( line @ X0 )
| ( incident @ ( sk__1 @ X0 @ b2b3 ) @ b2b3 )
| ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl278,zip_derived_cl5663]) ).
thf(zip_derived_cl135_090,plain,
line @ b2b3,
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl34]) ).
thf(zip_derived_cl5684,plain,
( ! [X0: $i] :
( ~ ( line @ X0 )
| ( incident @ ( sk__1 @ X0 @ b2b3 ) @ b2b3 )
| ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5679,zip_derived_cl135]) ).
thf(zip_derived_cl5685,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( incident @ ( sk__1 @ X0 @ b2b3 ) @ b2b3 )
| ~ ( line @ X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5684]) ).
thf(zip_derived_cl53,plain,
! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ~ ( line @ X1 )
| ( incident @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[meet]) ).
thf(zip_derived_cl49_091,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl299,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( line @ X0 )
| ~ ( line @ X1 )
| ( X2
= ( sk__1 @ X0 @ X1 ) )
| ~ ( incident @ X2 @ X0 )
| ~ ( incident @ X2 @ X3 )
| ~ ( incident @ ( sk__1 @ X0 @ X1 ) @ X3 )
| ( X0 = X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl49]) ).
thf(zip_derived_cl34_092,plain,
! [X0: $i,X1: $i] :
( ( line @ X0 )
| ~ ( incident @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sort_line]) ).
thf(zip_derived_cl2162,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X3 )
| ~ ( incident @ ( sk__1 @ X0 @ X1 ) @ X3 )
| ~ ( incident @ X2 @ X3 )
| ~ ( incident @ X2 @ X0 )
| ( X2
= ( sk__1 @ X0 @ X1 ) )
| ~ ( line @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl299,zip_derived_cl34]) ).
thf(zip_derived_cl5707,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( X0 = b2b3 )
| ~ ( incident @ X1 @ b2b3 )
| ~ ( incident @ X1 @ X0 )
| ( X1
= ( sk__1 @ X0 @ b2b3 ) )
| ~ ( line @ b2b3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5685,zip_derived_cl2162]) ).
thf(zip_derived_cl135_093,plain,
line @ b2b3,
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl34]) ).
thf(zip_derived_cl5742,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( X0 = b2b3 )
| ~ ( incident @ X1 @ b2b3 )
| ~ ( incident @ X1 @ X0 )
| ( X1
= ( sk__1 @ X0 @ b2b3 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5707,zip_derived_cl135]) ).
thf(zip_derived_cl34_094,plain,
! [X0: $i,X1: $i] :
( ( line @ X0 )
| ~ ( incident @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sort_line]) ).
thf(zip_derived_cl6203,plain,
( ! [X0: $i,X1: $i] :
( ( X1
= ( sk__1 @ X0 @ b2b3 ) )
| ~ ( incident @ X1 @ X0 )
| ~ ( incident @ X1 @ b2b3 )
| ( X0 = b2b3 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5742,zip_derived_cl34]) ).
thf(zip_derived_cl6241,plain,
( ( ( a3
= ( sk__1 @ s3 @ b2b3 ) )
| ~ ( incident @ a3 @ b2b3 )
| ( s3 = b2b3 )
| ( ( sk__1 @ s3 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl6203]) ).
thf(zip_derived_cl7647,plain,
( ( a3
= ( sk__1 @ s3 @ b2b3 ) )
<= ( a3
= ( sk__1 @ s3 @ b2b3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6241]) ).
thf(zip_derived_cl5685_095,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( incident @ ( sk__1 @ X0 @ b2b3 ) @ b2b3 )
| ~ ( line @ X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5684]) ).
thf(zip_derived_cl822_096,plain,
( ( incident @ s @ b2b3 )
<= ( b2b3 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl820,zip_derived_cl19]) ).
thf(zip_derived_cl49_097,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl947,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = s )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ s @ X1 )
| ( b2b3 = X1 ) )
<= ( b2b3 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl49]) ).
thf(zip_derived_cl12397,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( ( sk__1 @ X0 @ b2b3 )
= s )
| ~ ( incident @ ( sk__1 @ X0 @ b2b3 ) @ X1 )
| ~ ( incident @ s @ X1 )
| ( b2b3 = X1 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5685,zip_derived_cl947]) ).
thf(zip_derived_cl12469,plain,
( ! [X0: $i] :
( ~ ( line @ s3 )
| ( a3 = p3 )
| ( a3 = s )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( a3
= ( sk__1 @ s3 @ b2b3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7647,zip_derived_cl12397]) ).
thf(zip_derived_cl20_098,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl34_099,plain,
! [X0: $i,X1: $i] :
( ( line @ X0 )
| ~ ( incident @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sort_line]) ).
thf(zip_derived_cl147,plain,
line @ s3,
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl34]) ).
thf(zip_derived_cl12496,plain,
( ! [X0: $i] :
( ( a3 = p3 )
| ( a3 = s )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( a3
= ( sk__1 @ s3 @ b2b3 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12469,zip_derived_cl147]) ).
thf(zip_derived_cl12731,plain,
( ( a3 = s )
<= ( a3 = s ) ),
inference(split,[status(esa)],[zip_derived_cl12496]) ).
thf(zip_derived_cl19_100,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl12734,plain,
( ( incident @ a3 @ s2 )
<= ( a3 = s ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12731,zip_derived_cl19]) ).
thf(zip_derived_cl9_101,plain,
incident @ a3 @ a2a3,
inference(cnf,[status(esa)],[ia3a2]) ).
thf(zip_derived_cl8_102,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf(zip_derived_cl49_103,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl213,plain,
! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ a2a3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( a2a3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl49]) ).
thf(zip_derived_cl757,plain,
! [X0: $i] :
( ( a3 = a2 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a2a3 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl213]) ).
thf(diff_a2_a3,axiom,
( ( a2 = a3 )
=> goal ) ).
thf(zip_derived_cl36,plain,
( goal
| ( a2 != a3 ) ),
inference(cnf,[status(esa)],[diff_a2_a3]) ).
thf(zip_derived_cl73,plain,
( ( a2 != a3 )
<= ( a2 != a3 ) ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf('20',plain,
( ( a2 != a3 )
| goal ),
inference(split,[status(esa)],[zip_derived_cl36]) ).
thf('21',plain,
a2 != a3,
inference('sat_resolution*',[status(thm)],['3','20']) ).
thf(zip_derived_cl91,plain,
a2 != a3,
inference(simpl_trail,[status(thm)],[zip_derived_cl73,'21']) ).
thf(zip_derived_cl765,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a2a3 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl757,zip_derived_cl91]) ).
thf(zip_derived_cl34680,plain,
( ( ~ ( incident @ a2 @ s2 )
| ( a2a3 = s2 ) )
<= ( a3 = s ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12734,zip_derived_cl765]) ).
thf(zip_derived_cl22_104,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl34717,plain,
( ( a2a3 = s2 )
<= ( a3 = s ) ),
inference(demod,[status(thm)],[zip_derived_cl34680,zip_derived_cl22]) ).
thf(zip_derived_cl25_105,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl34723,plain,
( ( incident @ b2 @ a2a3 )
<= ( a3 = s ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl34717,zip_derived_cl25]) ).
thf(zip_derived_cl13_106,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf(zip_derived_cl221_107,plain,
! [X0: $i,X1: $i] :
( ( X0 = b1 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b1 @ X1 )
| ( b1b2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl49]) ).
thf(zip_derived_cl1045,plain,
! [X0: $i] :
( ( b2 = b1 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b1b2 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl221]) ).
thf(zip_derived_cl93_108,plain,
b1 != b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl77,'9']) ).
thf(zip_derived_cl1054,plain,
! [X0: $i] :
( ~ ( incident @ b2 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b1b2 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1045,zip_derived_cl93]) ).
thf(zip_derived_cl49430,plain,
( ( ~ ( incident @ b1 @ a2a3 )
| ( b1b2 = a2a3 ) )
<= ( a3 = s ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34723,zip_derived_cl1054]) ).
thf('22',plain,
( ( a3 != s )
| ~ ( incident @ b1 @ a2a3 )
| ( b1b2 = a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl49430]) ).
thf(zip_derived_cl4661,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl22_109,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl4671,plain,
( ( ( a2a3 = s2 )
| ~ ( incident @ p1 @ s2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4661,zip_derived_cl22]) ).
thf('23',plain,
( ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) )
| ~ ( incident @ p1 @ s2 )
| ( a2a3 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl4671]) ).
thf(zip_derived_cl12731_110,plain,
( ( a3 = s )
<= ( a3 = s ) ),
inference(split,[status(esa)],[zip_derived_cl12496]) ).
thf(zip_derived_cl18_111,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl12733,plain,
( ( incident @ a3 @ s1 )
<= ( a3 = s ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12731,zip_derived_cl18]) ).
thf(zip_derived_cl614_112,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a3a1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl603,zip_derived_cl92]) ).
thf(zip_derived_cl34532,plain,
( ( ~ ( incident @ a1 @ s1 )
| ( a3a1 = s1 ) )
<= ( a3 = s ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12733,zip_derived_cl614]) ).
thf(zip_derived_cl21_113,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl34574,plain,
( ( a3a1 = s1 )
<= ( a3 = s ) ),
inference(demod,[status(thm)],[zip_derived_cl34532,zip_derived_cl21]) ).
thf(zip_derived_cl249_114,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl11_115,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl254,plain,
( ( ( b2b3 = a3a1 )
| ~ ( incident @ p1 @ a3a1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl249,zip_derived_cl11]) ).
thf(zip_derived_cl303,plain,
( ( b2b3 = a3a1 )
<= ( b2b3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(ip2a,axiom,
incident @ p2 @ a3a1 ).
thf(zip_derived_cl31,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf(zip_derived_cl306,plain,
( ( incident @ p2 @ b2b3 )
<= ( b2b3 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl303,zip_derived_cl31]) ).
thf(zip_derived_cl208_116,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( b2b3 = X1 ) )
<= ( incident @ a1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).
thf(zip_derived_cl472,plain,
( ! [X0: $i] :
( ( p2 = a1 )
| ~ ( incident @ p2 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( b2b3 = a3a1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl208]) ).
thf(zip_derived_cl4113,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl472]) ).
thf(zip_derived_cl21_117,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl4126,plain,
( ( ( b2b3 = s1 )
| ~ ( incident @ p2 @ s1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4113,zip_derived_cl21]) ).
thf(zip_derived_cl5319,plain,
( ~ ( incident @ p2 @ s1 )
<= ~ ( incident @ p2 @ s1 ) ),
inference(split,[status(esa)],[zip_derived_cl4126]) ).
thf(zip_derived_cl34603,plain,
( ~ ( incident @ p2 @ a3a1 )
<= ( ~ ( incident @ p2 @ s1 )
& ( a3 = s ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl34574,zip_derived_cl5319]) ).
thf(zip_derived_cl31_118,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf('24',plain,
( ( a3 != s )
| ( incident @ p2 @ s1 ) ),
inference(demod,[status(thm)],[zip_derived_cl34603,zip_derived_cl31]) ).
thf(zip_derived_cl14_119,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl204_120,plain,
! [X0: $i,X1: $i] :
( ( X0 = p1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p1 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl49]) ).
thf(zip_derived_cl493,plain,
! [X0: $i] :
( ( b2 = p1 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl204]) ).
thf(zip_derived_cl4422,plain,
( ( b2 = p1 )
<= ( b2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl493]) ).
thf(zip_derived_cl25_121,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl4457,plain,
( ( incident @ p1 @ s2 )
<= ( b2 = p1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4422,zip_derived_cl25]) ).
thf(zip_derived_cl4421,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl493]) ).
thf(zip_derived_cl25_122,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl4430,plain,
( ( ( b2b3 = s2 )
| ~ ( incident @ p1 @ s2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4421,zip_derived_cl25]) ).
thf(zip_derived_cl5609,plain,
( ~ ( incident @ p1 @ s2 )
<= ~ ( incident @ p1 @ s2 ) ),
inference(split,[status(esa)],[zip_derived_cl4430]) ).
thf('25',plain,
( ( incident @ p1 @ s2 )
| ( b2 != p1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4457,zip_derived_cl5609]) ).
thf(zip_derived_cl17_123,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(ip2b,axiom,
incident @ p2 @ b3b1 ).
thf(zip_derived_cl32,plain,
incident @ p2 @ b3b1,
inference(cnf,[status(esa)],[ip2b]) ).
thf(zip_derived_cl49_124,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl206,plain,
! [X0: $i,X1: $i] :
( ( X0 = p2 )
| ~ ( incident @ X0 @ b3b1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p2 @ X1 )
| ( b3b1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl49]) ).
thf(zip_derived_cl547,plain,
! [X0: $i] :
( ( b1 = p2 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl206]) ).
thf(zip_derived_cl5421,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl547]) ).
thf(zip_derived_cl24_125,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl5429,plain,
( ( ( b3b1 = s1 )
| ~ ( incident @ p2 @ s1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5421,zip_derived_cl24]) ).
thf('26',plain,
( ~ ( incident @ p2 @ s1 )
| ( b3b1 = s1 )
| ~ ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl5429]) ).
thf('27',plain,
( ( b2 = p1 )
| ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl493]) ).
thf('28',plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b1 @ X0 ) )
| ( b1 = p2 ) ),
inference(split,[status(esa)],[zip_derived_cl547]) ).
thf(zip_derived_cl16_126,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl70_127,plain,
( ( incident @ a3 @ b1b2 )
<= ( incident @ a3 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl303_128,plain,
( ( b2b3 = a3a1 )
<= ( b2b3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl10_129,plain,
incident @ a3 @ a3a1,
inference(cnf,[status(esa)],[ia3a1]) ).
thf(zip_derived_cl304,plain,
( ( incident @ a3 @ b2b3 )
<= ( b2b3 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl303,zip_derived_cl10]) ).
thf(zip_derived_cl208_130,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( b2b3 = X1 ) )
<= ( incident @ a1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).
thf(zip_derived_cl389,plain,
( ! [X0: $i] :
( ( a3 = a1 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( b2b3 = a3a1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl208]) ).
thf(zip_derived_cl92_131,plain,
a3 != a1,
inference(simpl_trail,[status(thm)],[zip_derived_cl75,'7']) ).
thf(zip_derived_cl390,plain,
( ! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( b2b3 = a3a1 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl389,zip_derived_cl92]) ).
thf(zip_derived_cl401,plain,
( ( ~ ( incident @ a1 @ b1b2 )
| ( b2b3 = b1b2 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a3 @ b1b2 )
& ( b2b3 = a3a1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl390]) ).
thf(zip_derived_cl419,plain,
( ( b2b3 = b1b2 )
<= ( b2b3 = b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl401]) ).
thf(zip_derived_cl12_132,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl420,plain,
( ( incident @ b1 @ b2b3 )
<= ( b2b3 = b1b2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl419,zip_derived_cl12]) ).
thf(zip_derived_cl15_133,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl49_134,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl228,plain,
! [X0: $i,X1: $i] :
( ( X0 = b3 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b3 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl49]) ).
thf(zip_derived_cl1437,plain,
( ! [X0: $i] :
( ( b1 = b3 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl420,zip_derived_cl228]) ).
thf(zip_derived_cl95_135,plain,
b3 != b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl81,'14']) ).
thf(zip_derived_cl1449,plain,
( ! [X0: $i] :
( ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = b1b2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1437,zip_derived_cl95]) ).
thf(zip_derived_cl2447,plain,
( ( ~ ( incident @ b1 @ b3b1 )
| ( b2b3 = b3b1 ) )
<= ( b2b3 = b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl1449]) ).
thf(zip_derived_cl17_136,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(zip_derived_cl2455,plain,
( ( b2b3 = b3b1 )
<= ( b2b3 = b1b2 ) ),
inference(demod,[status(thm)],[zip_derived_cl2447,zip_derived_cl17]) ).
thf(zip_derived_cl32_137,plain,
incident @ p2 @ b3b1,
inference(cnf,[status(esa)],[ip2b]) ).
thf(zip_derived_cl2463,plain,
( ( incident @ p2 @ b2b3 )
<= ( b2b3 = b1b2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2455,zip_derived_cl32]) ).
thf(zip_derived_cl55,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf('29',plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) )
| goal ),
inference(split,[status(esa)],[zip_derived_cl0]) ).
thf('30',plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference('sat_resolution*',[status(thm)],['3','29']) ).
thf(zip_derived_cl103,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl2536,plain,
( ( ~ ( incident @ p3 @ b2b3 )
| ~ ( incident @ p1 @ b2b3 ) )
<= ( b2b3 = b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2463,zip_derived_cl103]) ).
thf(zip_derived_cl419_138,plain,
( ( b2b3 = b1b2 )
<= ( b2b3 = b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl401]) ).
thf(ip3b,axiom,
incident @ p3 @ b1b2 ).
thf(zip_derived_cl28,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf(zip_derived_cl422,plain,
( ( incident @ p3 @ b2b3 )
<= ( b2b3 = b1b2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl419,zip_derived_cl28]) ).
thf(zip_derived_cl30_139,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf('31',plain,
b2b3 != b1b2,
inference(demod,[status(thm)],[zip_derived_cl2536,zip_derived_cl422,zip_derived_cl30]) ).
thf(zip_derived_cl4421_140,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl493]) ).
thf(zip_derived_cl13_141,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf(zip_derived_cl4427,plain,
( ( ( b2b3 = b1b2 )
| ~ ( incident @ p1 @ b1b2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4421,zip_derived_cl13]) ).
thf('32',plain,
( ( b2b3 = b1b2 )
| ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) )
| ~ ( incident @ p1 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl4427]) ).
thf(zip_derived_cl5422,plain,
( ( b1 = p2 )
<= ( b1 = p2 ) ),
inference(split,[status(esa)],[zip_derived_cl547]) ).
thf(zip_derived_cl12_142,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl5447,plain,
( ( incident @ p2 @ b1b2 )
<= ( b1 = p2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5422,zip_derived_cl12]) ).
thf(zip_derived_cl103_143,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl22091,plain,
( ( ~ ( incident @ p3 @ b1b2 )
| ~ ( incident @ p1 @ b1b2 ) )
<= ( b1 = p2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5447,zip_derived_cl103]) ).
thf(zip_derived_cl28_144,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf(zip_derived_cl22109,plain,
( ~ ( incident @ p1 @ b1b2 )
<= ( b1 = p2 ) ),
inference(demod,[status(thm)],[zip_derived_cl22091,zip_derived_cl28]) ).
thf(zip_derived_cl70_145,plain,
( ( incident @ a3 @ b1b2 )
<= ( incident @ a3 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl28_146,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf(zip_derived_cl49_147,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl202,plain,
! [X0: $i,X1: $i] :
( ( X0 = p3 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p3 @ X1 )
| ( b1b2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl49]) ).
thf(zip_derived_cl430,plain,
( ! [X0: $i] :
( ( a3 = p3 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 ) )
<= ( incident @ a3 @ b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl202]) ).
thf(zip_derived_cl3065,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl430]) ).
thf(zip_derived_cl9_148,plain,
incident @ a3 @ a2a3,
inference(cnf,[status(esa)],[ia3a2]) ).
thf(zip_derived_cl3072,plain,
( ( ( b1b2 = a2a3 )
| ~ ( incident @ p3 @ a2a3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3065,zip_derived_cl9]) ).
thf(zip_derived_cl3358,plain,
( ( b1b2 = a2a3 )
<= ( b1b2 = a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl3072]) ).
thf(zip_derived_cl29_149,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf(zip_derived_cl3361,plain,
( ( incident @ p1 @ b1b2 )
<= ( b1b2 = a2a3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3358,zip_derived_cl29]) ).
thf('33',plain,
( ( b1b2 != a2a3 )
| ( b1 != p2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22109,zip_derived_cl3361]) ).
thf(zip_derived_cl3361_150,plain,
( ( incident @ p1 @ b1b2 )
<= ( b1b2 = a2a3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3358,zip_derived_cl29]) ).
thf(zip_derived_cl5577,plain,
( ~ ( incident @ p1 @ b1b2 )
<= ~ ( incident @ p1 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl4427]) ).
thf('34',plain,
( ( b1b2 != a2a3 )
| ( incident @ p1 @ b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3361,zip_derived_cl5577]) ).
thf(zip_derived_cl1134_151,plain,
( ( incident @ a1 @ a2a3 )
<= ( a1a2 = a2a3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1131,zip_derived_cl6]) ).
thf(zip_derived_cl213_152,plain,
! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ a2a3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( a2a3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl49]) ).
thf(zip_derived_cl1171,plain,
( ! [X0: $i] :
( ( a1 = a2 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a2a3 = X0 ) )
<= ( a1a2 = a2a3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1134,zip_derived_cl213]) ).
thf(zip_derived_cl90_153,plain,
a1 != a2,
inference(simpl_trail,[status(thm)],[zip_derived_cl71,'5']) ).
thf(zip_derived_cl1178,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a2a3 = X0 ) )
<= ( a1a2 = a2a3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1171,zip_derived_cl90]) ).
thf(zip_derived_cl22_154,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl1587,plain,
( ( ( a2a3 = s2 )
| ~ ( incident @ a1 @ s2 ) )
<= ( a1a2 = a2a3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1178,zip_derived_cl22]) ).
thf(zip_derived_cl1614,plain,
( ( a2a3 = s2 )
<= ( a2a3 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl1587]) ).
thf(zip_derived_cl19_155,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl1615,plain,
( ( incident @ s @ a2a3 )
<= ( a2a3 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1614,zip_derived_cl19]) ).
thf(zip_derived_cl217_156,plain,
! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ a2a3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( a2a3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl49]) ).
thf(zip_derived_cl1648,plain,
( ! [X0: $i] :
( ( s = a3 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( a2a3 = X0 ) )
<= ( a2a3 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1615,zip_derived_cl217]) ).
thf('35',plain,
( ( a2a3 != s2 )
| ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( a3 = s ) ),
inference(split,[status(esa)],[zip_derived_cl1648]) ).
thf(zip_derived_cl20_157,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl30740,plain,
( ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1648]) ).
thf(zip_derived_cl30803,plain,
( ( ( a2a3 = s3 )
| ~ ( incident @ a3 @ s3 ) )
<= ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl30740]) ).
thf(zip_derived_cl23_158,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl30833,plain,
( ( a2a3 = s3 )
<= ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30803,zip_derived_cl23]) ).
thf(zip_derived_cl26_159,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl30858,plain,
( ( incident @ b3 @ a2a3 )
<= ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl30833,zip_derived_cl26]) ).
thf(zip_derived_cl1025_160,plain,
! [X0: $i] :
( ~ ( incident @ b3 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b3b1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1018,zip_derived_cl95]) ).
thf(zip_derived_cl47074,plain,
( ( ~ ( incident @ b1 @ a2a3 )
| ( b3b1 = a2a3 ) )
<= ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30858,zip_derived_cl1025]) ).
thf('36',plain,
( ~ ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ~ ( incident @ b1 @ a2a3 )
| ( a2a3 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl47074]) ).
thf(zip_derived_cl67,plain,
( ( incident @ b1 @ a2a3 )
<= ( incident @ b1 @ a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl205_161,plain,
! [X0: $i,X1: $i] :
( ( X0 = p1 )
| ~ ( incident @ X0 @ a2a3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p1 @ X1 )
| ( a2a3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl49]) ).
thf(zip_derived_cl509,plain,
( ! [X0: $i] :
( ( b1 = p1 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 ) )
<= ( incident @ b1 @ a2a3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl205]) ).
thf(zip_derived_cl4825,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ b1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl509]) ).
thf(zip_derived_cl17_162,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(zip_derived_cl4830,plain,
( ( ( a2a3 = b3b1 )
| ~ ( incident @ p1 @ b3b1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4825,zip_derived_cl17]) ).
thf(zip_derived_cl6111,plain,
( ( a2a3 = b3b1 )
<= ( a2a3 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl4830]) ).
thf(zip_derived_cl8_163,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf(zip_derived_cl6112,plain,
( ( incident @ a2 @ b3b1 )
<= ( a2a3 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6111,zip_derived_cl8]) ).
thf(zip_derived_cl58_164,plain,
( ~ ( incident @ a2 @ b3b1 )
<= ~ ( incident @ a2 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf('37',plain,
( ( a2a3 != b3b1 )
| ( incident @ a2 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6112,zip_derived_cl58]) ).
thf(zip_derived_cl4662_165,plain,
( ( a2 = p1 )
<= ( a2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl7_166,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl4696,plain,
( ( incident @ p1 @ a1a2 )
<= ( a2 = p1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4662,zip_derived_cl7]) ).
thf(zip_derived_cl315,plain,
( ~ ( incident @ p1 @ a1a2 )
<= ~ ( incident @ p1 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf('38',plain,
( ( incident @ p1 @ a1a2 )
| ( a2 != p1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4696,zip_derived_cl315]) ).
thf(zip_derived_cl24_167,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl1052_168,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b1b2 = X0 ) )
<= ( b2 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1042,zip_derived_cl793]) ).
thf(zip_derived_cl1286,plain,
( ( ~ ( incident @ a1 @ s1 )
| ( b1b2 = s1 ) )
<= ( b2 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1052]) ).
thf(zip_derived_cl21_169,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl1292,plain,
( ( b1b2 = s1 )
<= ( b2 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1286,zip_derived_cl21]) ).
thf(zip_derived_cl18_170,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl1299,plain,
( ( incident @ s @ b1b2 )
<= ( b2 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1292,zip_derived_cl18]) ).
thf(zip_derived_cl19_171,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl25_172,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl49_173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl227,plain,
! [X0: $i,X1: $i] :
( ( X0 = b2 )
| ~ ( incident @ X0 @ s2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b2 @ X1 )
| ( s2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl49]) ).
thf(zip_derived_cl1391,plain,
! [X0: $i] :
( ( s = b2 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( s2 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl227]) ).
thf(zip_derived_cl24728,plain,
( ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1391]) ).
thf(zip_derived_cl24765,plain,
( ( ( s2 = b1b2 )
| ~ ( incident @ b2 @ b1b2 ) )
<= ( ( b2 = a1 )
& ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1299,zip_derived_cl24728]) ).
thf(zip_derived_cl1003_174,plain,
( ( s2 = a1a2 )
<= ( b2 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl997,zip_derived_cl6]) ).
thf(zip_derived_cl769_175,plain,
( ( b2 = a1 )
<= ( b2 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl243]) ).
thf(zip_derived_cl788_176,plain,
( ( incident @ a1 @ b1b2 )
<= ( b2 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl769,zip_derived_cl13]) ).
thf(zip_derived_cl24796,plain,
( ( a1a2 = b1b2 )
<= ( ( b2 = a1 )
& ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl24765,zip_derived_cl1003,zip_derived_cl769,zip_derived_cl788]) ).
thf(not12,axiom,
( ( a1a2 = b1b2 )
=> goal ) ).
thf(zip_derived_cl41,plain,
( goal
| ( a1a2 != b1b2 ) ),
inference(cnf,[status(esa)],[not12]) ).
thf(zip_derived_cl83,plain,
( ( a1a2 != b1b2 )
<= ( a1a2 != b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf('39',plain,
( ( a1a2 != b1b2 )
| goal ),
inference(split,[status(esa)],[zip_derived_cl41]) ).
thf('40',plain,
a1a2 != b1b2,
inference('sat_resolution*',[status(thm)],['3','39']) ).
thf(zip_derived_cl96,plain,
a1a2 != b1b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl83,'40']) ).
thf('41',plain,
( ( b2 != a1 )
| ~ ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl24796,zip_derived_cl96]) ).
thf('42',plain,
( ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) )
| ~ ( incident @ p1 @ a1a2 )
| ( b2b3 = a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf('43',plain,
( ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( s = b2 ) ),
inference(split,[status(esa)],[zip_derived_cl1391]) ).
thf(zip_derived_cl18_177,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl21_178,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl49_179,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl211,plain,
! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ s1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( s1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21,zip_derived_cl49]) ).
thf(zip_derived_cl702,plain,
! [X0: $i] :
( ( s = a1 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( s1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl211]) ).
thf(zip_derived_cl8292,plain,
( ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl702]) ).
thf(zip_derived_cl20_180,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl8307,plain,
( ( ~ ( incident @ a1 @ s3 )
| ( s1 = s3 ) )
<= ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8292,zip_derived_cl20]) ).
thf(zip_derived_cl9338,plain,
( ( s1 = s3 )
<= ( s1 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl8307]) ).
thf(zip_derived_cl9338_181,plain,
( ( s1 = s3 )
<= ( s1 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl8307]) ).
thf(zip_derived_cl23_182,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl9340,plain,
( ( incident @ a3 @ s1 )
<= ( s1 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9338,zip_derived_cl23]) ).
thf(zip_derived_cl614_183,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a3a1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl603,zip_derived_cl92]) ).
thf(zip_derived_cl31459,plain,
( ( ~ ( incident @ a1 @ s1 )
| ( a3a1 = s1 ) )
<= ( s1 = s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9340,zip_derived_cl614]) ).
thf(zip_derived_cl21_184,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl31496,plain,
( ( a3a1 = s1 )
<= ( s1 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl31459,zip_derived_cl21]) ).
thf(zip_derived_cl31550,plain,
( ( a3a1 = s3 )
<= ( s1 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl9338,zip_derived_cl31496]) ).
thf(zip_derived_cl26_185,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl31675,plain,
( ( incident @ b3 @ a3a1 )
<= ( s1 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31550,zip_derived_cl26]) ).
thf(zip_derived_cl1025_186,plain,
! [X0: $i] :
( ~ ( incident @ b3 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b3b1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1018,zip_derived_cl95]) ).
thf(zip_derived_cl48265,plain,
( ( ~ ( incident @ b1 @ a3a1 )
| ( b3b1 = a3a1 ) )
<= ( s1 = s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31675,zip_derived_cl1025]) ).
thf(zip_derived_cl31496_187,plain,
( ( a3a1 = s1 )
<= ( s1 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl31459,zip_derived_cl21]) ).
thf(zip_derived_cl24_188,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl31554,plain,
( ( incident @ b1 @ a3a1 )
<= ( s1 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31496,zip_derived_cl24]) ).
thf(zip_derived_cl48302,plain,
( ( b3b1 = a3a1 )
<= ( s1 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl48265,zip_derived_cl31554]) ).
thf(not31,axiom,
( ( a3a1 = b3b1 )
=> goal ) ).
thf(zip_derived_cl43,plain,
( goal
| ( a3a1 != b3b1 ) ),
inference(cnf,[status(esa)],[not31]) ).
thf(zip_derived_cl87,plain,
( ( a3a1 != b3b1 )
<= ( a3a1 != b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf('44',plain,
( ( a3a1 != b3b1 )
| goal ),
inference(split,[status(esa)],[zip_derived_cl43]) ).
thf('45',plain,
a3a1 != b3b1,
inference('sat_resolution*',[status(thm)],['3','44']) ).
thf(zip_derived_cl98,plain,
a3a1 != b3b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl87,'45']) ).
thf('46',plain,
s1 != s3,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl48302,zip_derived_cl98]) ).
thf(zip_derived_cl10613_189,plain,
( ( b1 = a3 )
<= ( b1 = a3 ) ),
inference(split,[status(esa)],[zip_derived_cl871]) ).
thf(zip_derived_cl249_190,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl21_191,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl256,plain,
( ( ( b2b3 = s1 )
| ~ ( incident @ p1 @ s1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl249,zip_derived_cl21]) ).
thf(zip_derived_cl332,plain,
( ( b2b3 = s1 )
<= ( b2b3 = s1 ) ),
inference(split,[status(esa)],[zip_derived_cl256]) ).
thf(zip_derived_cl24_192,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl336,plain,
( ( incident @ b1 @ b2b3 )
<= ( b2b3 = s1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl24]) ).
thf(zip_derived_cl228_193,plain,
! [X0: $i,X1: $i] :
( ( X0 = b3 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b3 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl49]) ).
thf(zip_derived_cl1436,plain,
( ! [X0: $i] :
( ( b1 = b3 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = s1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl228]) ).
thf(zip_derived_cl95_194,plain,
b3 != b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl81,'14']) ).
thf(zip_derived_cl1448,plain,
( ! [X0: $i] :
( ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = s1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1436,zip_derived_cl95]) ).
thf(zip_derived_cl26_195,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl2263,plain,
( ( ( b2b3 = s3 )
| ~ ( incident @ b1 @ s3 ) )
<= ( b2b3 = s1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1448,zip_derived_cl26]) ).
thf(zip_derived_cl2328,plain,
( ~ ( incident @ b1 @ s3 )
<= ~ ( incident @ b1 @ s3 ) ),
inference(split,[status(esa)],[zip_derived_cl2263]) ).
thf(zip_derived_cl10654,plain,
( ~ ( incident @ a3 @ s3 )
<= ( ~ ( incident @ b1 @ s3 )
& ( b1 = a3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10613,zip_derived_cl2328]) ).
thf(zip_derived_cl23_196,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf('47',plain,
( ( b1 != a3 )
| ( incident @ b1 @ s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl10654,zip_derived_cl23]) ).
thf(zip_derived_cl18_197,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl24_198,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl49_199,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl223,plain,
! [X0: $i,X1: $i] :
( ( X0 = b1 )
| ~ ( incident @ X0 @ s1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b1 @ X1 )
| ( s1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl49]) ).
thf(zip_derived_cl1155,plain,
! [X0: $i] :
( ( s = b1 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( s1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl223]) ).
thf('48',plain,
( ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( b1 = s ) ),
inference(split,[status(esa)],[zip_derived_cl1155]) ).
thf(zip_derived_cl67_200,plain,
( ( incident @ b1 @ a2a3 )
<= ( incident @ b1 @ a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl217_201,plain,
! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ a2a3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( a2a3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl49]) ).
thf(zip_derived_cl910,plain,
( ! [X0: $i] :
( ( b1 = a3 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( a2a3 = X0 ) )
<= ( incident @ b1 @ a2a3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl217]) ).
thf('49',plain,
( ~ ( incident @ b1 @ a2a3 )
| ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ b1 @ X0 ) )
| ( b1 = a3 ) ),
inference(split,[status(esa)],[zip_derived_cl910]) ).
thf('50',plain,
( ~ ( incident @ a1 @ b2b3 )
| ~ ( incident @ a3 @ b1b2 )
| goal
| ~ ( incident @ a2 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf(zip_derived_cl11389,plain,
( ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ b1 @ X0 ) )
<= ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl910]) ).
thf(zip_derived_cl12_202,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl11396,plain,
( ( ~ ( incident @ a3 @ b1b2 )
| ( a2a3 = b1b2 ) )
<= ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11389,zip_derived_cl12]) ).
thf('51',plain,
( ~ ( incident @ a3 @ b1b2 )
| ~ ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ b1 @ X0 ) )
| ( b1b2 = a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl11396]) ).
thf('52',plain,
( ( incident @ a2 @ b3b1 )
| ( incident @ b1 @ a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl390_203,plain,
( ! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( b2b3 = a3a1 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl389,zip_derived_cl92]) ).
thf(zip_derived_cl23_204,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl397,plain,
( ( ( b2b3 = s3 )
| ~ ( incident @ a1 @ s3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( b2b3 = a3a1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl390,zip_derived_cl23]) ).
thf(zip_derived_cl504,plain,
( ( b2b3 = s3 )
<= ( b2b3 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl397]) ).
thf(zip_derived_cl20_205,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl518,plain,
( ( incident @ s @ b2b3 )
<= ( b2b3 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl504,zip_derived_cl20]) ).
thf(zip_derived_cl228_206,plain,
! [X0: $i,X1: $i] :
( ( X0 = b3 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b3 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl49]) ).
thf(zip_derived_cl1441,plain,
( ! [X0: $i] :
( ( s = b3 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl228]) ).
thf(zip_derived_cl27012,plain,
( ( s = b3 )
<= ( s = b3 ) ),
inference(split,[status(esa)],[zip_derived_cl1441]) ).
thf(zip_derived_cl67_207,plain,
( ( incident @ b1 @ a2a3 )
<= ( incident @ b1 @ a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl6203_208,plain,
( ! [X0: $i,X1: $i] :
( ( X1
= ( sk__1 @ X0 @ b2b3 ) )
| ~ ( incident @ X1 @ X0 )
| ~ ( incident @ X1 @ b2b3 )
| ( X0 = b2b3 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5742,zip_derived_cl34]) ).
thf(zip_derived_cl6245,plain,
( ( ( b1
= ( sk__1 @ a2a3 @ b2b3 ) )
| ~ ( incident @ b1 @ b2b3 )
| ( a2a3 = b2b3 )
| ( ( sk__1 @ a2a3 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( incident @ b1 @ a2a3 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl67,zip_derived_cl6203]) ).
thf(not23,axiom,
( ( a2a3 = b2b3 )
=> goal ) ).
thf(zip_derived_cl42,plain,
( goal
| ( a2a3 != b2b3 ) ),
inference(cnf,[status(esa)],[not23]) ).
thf(zip_derived_cl85,plain,
( ( a2a3 != b2b3 )
<= ( a2a3 != b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf('53',plain,
( ( a2a3 != b2b3 )
| goal ),
inference(split,[status(esa)],[zip_derived_cl42]) ).
thf('54',plain,
a2a3 != b2b3,
inference('sat_resolution*',[status(thm)],['3','53']) ).
thf(zip_derived_cl97,plain,
a2a3 != b2b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl85,'54']) ).
thf(zip_derived_cl6322,plain,
( ( ( b1
= ( sk__1 @ a2a3 @ b2b3 ) )
| ~ ( incident @ b1 @ b2b3 )
| ( ( sk__1 @ a2a3 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( incident @ b1 @ a2a3 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6245,zip_derived_cl97]) ).
thf(zip_derived_cl6491,plain,
( ( b1
= ( sk__1 @ a2a3 @ b2b3 ) )
<= ( b1
= ( sk__1 @ a2a3 @ b2b3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6322]) ).
thf(zip_derived_cl12397_209,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( ( sk__1 @ X0 @ b2b3 )
= s )
| ~ ( incident @ ( sk__1 @ X0 @ b2b3 ) @ X1 )
| ~ ( incident @ s @ X1 )
| ( b2b3 = X1 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5685,zip_derived_cl947]) ).
thf(zip_derived_cl12459,plain,
( ! [X0: $i] :
( ~ ( line @ a2a3 )
| ( b1 = p3 )
| ( b1 = s )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ s @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1
= ( sk__1 @ a2a3 @ b2b3 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6491,zip_derived_cl12397]) ).
thf(zip_derived_cl8_210,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf(zip_derived_cl34_211,plain,
! [X0: $i,X1: $i] :
( ( line @ X0 )
| ~ ( incident @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sort_line]) ).
thf(zip_derived_cl124,plain,
line @ a2a3,
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl34]) ).
thf(zip_derived_cl12485,plain,
( ! [X0: $i] :
( ( b1 = p3 )
| ( b1 = s )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ s @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1
= ( sk__1 @ a2a3 @ b2b3 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12459,zip_derived_cl124]) ).
thf(zip_derived_cl12511,plain,
( ( b1 = s )
<= ( b1 = s ) ),
inference(split,[status(esa)],[zip_derived_cl12485]) ).
thf(zip_derived_cl27145,plain,
( ( b1 = b3 )
<= ( ( b1 = s )
& ( s = b3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27012,zip_derived_cl12511]) ).
thf(zip_derived_cl95_212,plain,
b3 != b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl81,'14']) ).
thf('55',plain,
( ( b1 != s )
| ( s != b3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27145,zip_derived_cl95]) ).
thf('56',plain,
( ( incident @ b2 @ a3a1 )
| ( incident @ a3 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl822_213,plain,
( ( incident @ s @ b2b3 )
<= ( b2b3 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl820,zip_derived_cl19]) ).
thf(zip_derived_cl228_214,plain,
! [X0: $i,X1: $i] :
( ( X0 = b3 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b3 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl49]) ).
thf(zip_derived_cl1442,plain,
( ! [X0: $i] :
( ( s = b3 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl822,zip_derived_cl228]) ).
thf('57',plain,
( ( s = b3 )
| ( b2b3 != s2 )
| ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1442]) ).
thf(zip_derived_cl322_215,plain,
( ( incident @ a2 @ b2b3 )
<= ( b2b3 = a1a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl316,zip_derived_cl7]) ).
thf(zip_derived_cl316_216,plain,
( ( b2b3 = a1a2 )
<= ( b2b3 = a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zip_derived_cl6_217,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl321,plain,
( ( incident @ a1 @ b2b3 )
<= ( b2b3 = a1a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl316,zip_derived_cl6]) ).
thf(zip_derived_cl49_218,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl527,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( b2b3 = X1 ) )
<= ( b2b3 = a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl49]) ).
thf(zip_derived_cl5191,plain,
( ! [X0: $i] :
( ( a2 = a1 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl527]) ).
thf(zip_derived_cl90_219,plain,
a1 != a2,
inference(simpl_trail,[status(thm)],[zip_derived_cl71,'5']) ).
thf(zip_derived_cl5210,plain,
( ! [X0: $i] :
( ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = a1a2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5191,zip_derived_cl90]) ).
thf(zip_derived_cl22_220,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl64043,plain,
( ( ( b2b3 = s2 )
| ~ ( incident @ a1 @ s2 ) )
<= ( b2b3 = a1a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5210,zip_derived_cl22]) ).
thf('58',plain,
( ( b2b3 != a1a2 )
| ~ ( incident @ a1 @ s2 )
| ( b2b3 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl64043]) ).
thf(zip_derived_cl1299_221,plain,
( ( incident @ s @ b1b2 )
<= ( b2 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1292,zip_derived_cl18]) ).
thf(zip_derived_cl202_222,plain,
! [X0: $i,X1: $i] :
( ( X0 = p3 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p3 @ X1 )
| ( b1b2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl49]) ).
thf(zip_derived_cl1410,plain,
( ! [X0: $i] :
( ( s = p3 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 ) )
<= ( b2 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1299,zip_derived_cl202]) ).
thf('59',plain,
( ( b2 != a1 )
| ( s = p3 )
| ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1410]) ).
thf(zip_derived_cl7_223,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl203_224,plain,
! [X0: $i,X1: $i] :
( ( X0 = p3 )
| ~ ( incident @ X0 @ a1a2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p3 @ X1 )
| ( a1a2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl49]) ).
thf(zip_derived_cl458,plain,
! [X0: $i] :
( ( a2 = p3 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl203]) ).
thf(zip_derived_cl3671,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl458]) ).
thf(zip_derived_cl22_225,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl3681,plain,
( ( ( a1a2 = s2 )
| ~ ( incident @ p3 @ s2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3671,zip_derived_cl22]) ).
thf(zip_derived_cl4881,plain,
( ( a1a2 = s2 )
<= ( a1a2 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl3681]) ).
thf(zip_derived_cl19_226,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl4882,plain,
( ( incident @ s @ a1a2 )
<= ( a1a2 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4881,zip_derived_cl19]) ).
thf(zip_derived_cl25446,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1410]) ).
thf(zip_derived_cl25494,plain,
( ( ~ ( incident @ p3 @ a1a2 )
| ( b1b2 = a1a2 ) )
<= ( ( a1a2 = s2 )
& ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ s @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4882,zip_derived_cl25446]) ).
thf(zip_derived_cl27_227,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl25519,plain,
( ( b1b2 = a1a2 )
<= ( ( a1a2 = s2 )
& ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ s @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl25494,zip_derived_cl27]) ).
thf(zip_derived_cl96_228,plain,
a1a2 != b1b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl83,'40']) ).
thf('60',plain,
( ( a1a2 != s2 )
| ~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl25519,zip_derived_cl96]) ).
thf(zip_derived_cl4881_229,plain,
( ( a1a2 = s2 )
<= ( a1a2 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl3681]) ).
thf(zip_derived_cl819,plain,
( ~ ( incident @ a1 @ s2 )
<= ~ ( incident @ a1 @ s2 ) ),
inference(split,[status(esa)],[zip_derived_cl775]) ).
thf(zip_derived_cl4889,plain,
( ~ ( incident @ a1 @ a1a2 )
<= ( ~ ( incident @ a1 @ s2 )
& ( a1a2 = s2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4881,zip_derived_cl819]) ).
thf(zip_derived_cl6_230,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf('61',plain,
( ( a1a2 != s2 )
| ( incident @ a1 @ s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl4889,zip_derived_cl6]) ).
thf(zip_derived_cl28_231,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf(zip_derived_cl3672,plain,
( ( a2 = p3 )
<= ( a2 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl458]) ).
thf(zip_derived_cl3638_232,plain,
( ( b2b3
= ( sk_ @ p3 @ a2 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3567,zip_derived_cl3061]) ).
thf(zip_derived_cl3718,plain,
( ( b2b3
= ( sk_ @ p3 @ p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3672,zip_derived_cl3638]) ).
thf(zip_derived_cl50_233,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl49_234,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl200,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( point @ X1 )
| ~ ( point @ X0 )
| ( X2 = X0 )
| ~ ( incident @ X2 @ ( sk_ @ X1 @ X0 ) )
| ~ ( incident @ X2 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( ( sk_ @ X1 @ X0 )
= X3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl49]) ).
thf(zip_derived_cl33_235,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl355,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sk_ @ X1 @ X0 )
= X3 )
| ~ ( incident @ X0 @ X3 )
| ~ ( incident @ X2 @ X3 )
| ~ ( incident @ X2 @ ( sk_ @ X1 @ X0 ) )
| ( X2 = X0 )
| ~ ( point @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl200,zip_derived_cl33]) ).
thf(zip_derived_cl3728,plain,
( ! [X0: $i,X1: $i] :
( ( b2b3 = X1 )
| ~ ( incident @ p3 @ X1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ X0 @ b2b3 )
| ( X0 = p3 )
| ~ ( point @ p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3718,zip_derived_cl355]) ).
thf(zip_derived_cl160_236,plain,
point @ p3,
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).
thf(zip_derived_cl3737,plain,
( ! [X0: $i,X1: $i] :
( ( b2b3 = X1 )
| ~ ( incident @ p3 @ X1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ X0 @ b2b3 )
| ( X0 = p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3728,zip_derived_cl160]) ).
thf(zip_derived_cl3746,plain,
( ! [X0: $i] :
( ( b2b3 = b1b2 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ b2b3 )
| ( X0 = p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl3737]) ).
thf(zip_derived_cl316_237,plain,
( ( b2b3 = a1a2 )
<= ( b2b3 = a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zip_derived_cl96_238,plain,
a1a2 != b1b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl83,'40']) ).
thf(zip_derived_cl326,plain,
( ( b2b3 != b1b2 )
<= ( b2b3 = a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl316,zip_derived_cl96]) ).
thf(zip_derived_cl3754,plain,
( ! [X0: $i] :
( ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ b2b3 )
| ( X0 = p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p3 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3746,zip_derived_cl326]) ).
thf(zip_derived_cl1299_239,plain,
( ( incident @ s @ b1b2 )
<= ( b2 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1292,zip_derived_cl18]) ).
thf(zip_derived_cl3762,plain,
( ( ( s = p3 )
| ~ ( incident @ s @ b2b3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3754,zip_derived_cl1299]) ).
thf(zip_derived_cl3837,plain,
( ( s = p3 )
<= ( s = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl3762]) ).
thf(zip_derived_cl20_240,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl3871,plain,
( ( incident @ p3 @ s3 )
<= ( s = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3837,zip_derived_cl20]) ).
thf(zip_derived_cl3065_241,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl430]) ).
thf(zip_derived_cl23_242,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl3074,plain,
( ( ( b1b2 = s3 )
| ~ ( incident @ p3 @ s3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3065,zip_derived_cl23]) ).
thf(zip_derived_cl3443,plain,
( ~ ( incident @ p3 @ s3 )
<= ~ ( incident @ p3 @ s3 ) ),
inference(split,[status(esa)],[zip_derived_cl3074]) ).
thf('62',plain,
( ( s != p3 )
| ( incident @ p3 @ s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3871,zip_derived_cl3443]) ).
thf('63',plain,
( ~ ( incident @ p3 @ s2 )
| ~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a2 @ X0 ) )
| ( a1a2 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl3681]) ).
thf('64',plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a2 @ X0 ) )
| ( a2 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl458]) ).
thf(zip_derived_cl316_243,plain,
( ( b2b3 = a1a2 )
<= ( b2b3 = a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf(zip_derived_cl27_244,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl323,plain,
( ( incident @ p3 @ b2b3 )
<= ( b2b3 = a1a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl316,zip_derived_cl27]) ).
thf(zip_derived_cl228_245,plain,
! [X0: $i,X1: $i] :
( ( X0 = b3 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b3 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl49]) ).
thf(zip_derived_cl1422,plain,
( ! [X0: $i] :
( ( p3 = b3 )
| ~ ( incident @ p3 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl228]) ).
thf(zip_derived_cl26051,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1422]) ).
thf(zip_derived_cl26_246,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl26059,plain,
( ( ( b2b3 = s3 )
| ~ ( incident @ p3 @ s3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26051,zip_derived_cl26]) ).
thf('65',plain,
( ~ ( incident @ p3 @ s3 )
| ~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) )
| ( b2b3 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl26059]) ).
thf(zip_derived_cl13_247,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf(zip_derived_cl202_248,plain,
! [X0: $i,X1: $i] :
( ( X0 = p3 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p3 @ X1 )
| ( b1b2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl49]) ).
thf(zip_derived_cl432,plain,
! [X0: $i] :
( ( b2 = p3 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl202]) ).
thf(zip_derived_cl3229,plain,
( ( b2 = p3 )
<= ( b2 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl432]) ).
thf(zip_derived_cl25_249,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl3255,plain,
( ( incident @ p3 @ s2 )
<= ( b2 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3229,zip_derived_cl25]) ).
thf(zip_derived_cl3228,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl432]) ).
thf(zip_derived_cl25_250,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl3237,plain,
( ( ( b1b2 = s2 )
| ~ ( incident @ p3 @ s2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3228,zip_derived_cl25]) ).
thf(zip_derived_cl4064,plain,
( ~ ( incident @ p3 @ s2 )
<= ~ ( incident @ p3 @ s2 ) ),
inference(split,[status(esa)],[zip_derived_cl3237]) ).
thf('66',plain,
( ( b2 != p3 )
| ( incident @ p3 @ s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3255,zip_derived_cl4064]) ).
thf(zip_derived_cl3672_251,plain,
( ( a2 = p3 )
<= ( a2 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl458]) ).
thf(zip_derived_cl8_252,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf(zip_derived_cl3700,plain,
( ( incident @ p3 @ a2a3 )
<= ( a2 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3672,zip_derived_cl8]) ).
thf(zip_derived_cl29_253,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf(zip_derived_cl53_254,plain,
! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ~ ( line @ X1 )
| ( incident @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[meet]) ).
thf(zip_derived_cl4764_255,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ X1 )
| ( b2b3 = X0 )
| ~ ( incident @ p3 @ X0 )
| ~ ( incident @ ( sk__1 @ X1 @ b2b3 ) @ X0 )
| ( ( sk__1 @ X1 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4755,zip_derived_cl135,zip_derived_cl164]) ).
thf(zip_derived_cl4910,plain,
( ! [X0: $i] :
( ~ ( line @ X0 )
| ~ ( line @ b2b3 )
| ~ ( line @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ p3 @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl4764]) ).
thf(zip_derived_cl135_256,plain,
line @ b2b3,
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl34]) ).
thf(zip_derived_cl4915,plain,
( ! [X0: $i] :
( ~ ( line @ X0 )
| ~ ( line @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ p3 @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4910,zip_derived_cl135]) ).
thf(zip_derived_cl4916,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( line @ X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4915]) ).
thf(zip_derived_cl34_257,plain,
! [X0: $i,X1: $i] :
( ( line @ X0 )
| ~ ( incident @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sort_line]) ).
thf(zip_derived_cl4923,plain,
( ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ p3 @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4916,zip_derived_cl34]) ).
thf(zip_derived_cl53_258,plain,
! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ~ ( line @ X1 )
| ( incident @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[meet]) ).
thf(zip_derived_cl3061_259,plain,
( ( b2b3
= ( sk_ @ a1 @ a2 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3059,zip_derived_cl107,zip_derived_cl109,zip_derived_cl107]) ).
thf(zip_derived_cl52_260,plain,
! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ~ ( line @ X1 )
| ( incident @ ( sk__1 @ X1 @ X0 ) @ X0 ) ),
inference(cnf,[status(esa)],[meet]) ).
thf(zip_derived_cl355_261,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sk_ @ X1 @ X0 )
= X3 )
| ~ ( incident @ X0 @ X3 )
| ~ ( incident @ X2 @ X3 )
| ~ ( incident @ X2 @ ( sk_ @ X1 @ X0 ) )
| ( X2 = X0 )
| ~ ( point @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl200,zip_derived_cl33]) ).
thf(zip_derived_cl358,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ ( line @ X2 )
| ~ ( line @ ( sk_ @ X1 @ X0 ) )
| ( ( sk_ @ X1 @ X0 )
= X3 )
| ~ ( incident @ X0 @ X3 )
| ~ ( incident @ ( sk__1 @ X2 @ ( sk_ @ X1 @ X0 ) ) @ X3 )
| ( ( sk__1 @ X2 @ ( sk_ @ X1 @ X0 ) )
= X0 )
| ~ ( point @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl355]) ).
thf(zip_derived_cl3138,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ X1 )
| ~ ( line @ b2b3 )
| ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ ( sk__1 @ X1 @ b2b3 ) @ X0 )
| ( ( sk__1 @ X1 @ b2b3 )
= a2 )
| ~ ( point @ a1 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3061,zip_derived_cl358]) ).
thf(zip_derived_cl135_262,plain,
line @ b2b3,
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl34]) ).
thf(zip_derived_cl107_263,plain,
point @ a1,
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl33]) ).
thf(zip_derived_cl3150,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ X1 )
| ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ ( sk__1 @ X1 @ b2b3 ) @ X0 )
| ( ( sk__1 @ X1 @ b2b3 )
= a2 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3138,zip_derived_cl135,zip_derived_cl107]) ).
thf(zip_derived_cl3388,plain,
( ! [X0: $i] :
( ~ ( line @ X0 )
| ~ ( line @ b2b3 )
| ~ ( line @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= a2 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl3150]) ).
thf(zip_derived_cl135_264,plain,
line @ b2b3,
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl34]) ).
thf(zip_derived_cl3391,plain,
( ! [X0: $i] :
( ~ ( line @ X0 )
| ~ ( line @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= a2 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3388,zip_derived_cl135]) ).
thf(zip_derived_cl3392,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 @ b2b3 )
= a2 )
| ~ ( incident @ a2 @ X0 )
| ( b2b3 = X0 )
| ~ ( line @ X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl3391]) ).
thf(zip_derived_cl34_265,plain,
! [X0: $i,X1: $i] :
( ( line @ X0 )
| ~ ( incident @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sort_line]) ).
thf(zip_derived_cl3397,plain,
( ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= a2 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl3392,zip_derived_cl34]) ).
thf(zip_derived_cl4931,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ( p3 = a2 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4923,zip_derived_cl3397]) ).
thf(zip_derived_cl4662_266,plain,
( ( a2 = p1 )
<= ( a2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl4662_267,plain,
( ( a2 = p1 )
<= ( a2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl4948,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ( b2b3 = X0 )
| ~ ( incident @ p1 @ X0 )
| ( p3 = p1 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4931,zip_derived_cl4662,zip_derived_cl4662]) ).
thf(zip_derived_cl4949,plain,
( ! [X0: $i] :
( ( p3 = p1 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ p3 @ X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl4948]) ).
thf(zip_derived_cl5014,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl4949]) ).
thf(zip_derived_cl5026,plain,
( ( ~ ( incident @ p3 @ a2a3 )
| ( b2b3 = a2a3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl5014]) ).
thf(zip_derived_cl97_268,plain,
a2a3 != b2b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl85,'54']) ).
thf(zip_derived_cl5032,plain,
( ~ ( incident @ p3 @ a2a3 )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5026,zip_derived_cl97]) ).
thf('67',plain,
( ( a2 != p3 )
| ~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3700,zip_derived_cl5032]) ).
thf(zip_derived_cl3358_269,plain,
( ( b1b2 = a2a3 )
<= ( b1b2 = a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl3072]) ).
thf(zip_derived_cl5032_270,plain,
( ~ ( incident @ p3 @ a2a3 )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5026,zip_derived_cl97]) ).
thf(zip_derived_cl5104,plain,
( ~ ( incident @ p3 @ b1b2 )
<= ( ( b1b2 = a2a3 )
& ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3358,zip_derived_cl5032]) ).
thf(zip_derived_cl28_271,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf('68',plain,
( ( b1b2 != a2a3 )
| ~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5104,zip_derived_cl28]) ).
thf('69',plain,
( ( b2b3 != a1a2 )
| ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) )
| ( b3 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl1422]) ).
thf(zip_derived_cl13_272,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf(zip_derived_cl3784,plain,
( ( b3 = p3 )
<= ( b3 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl459]) ).
thf(zip_derived_cl15_273,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl3806,plain,
( ( incident @ p3 @ b2b3 )
<= ( b3 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3784,zip_derived_cl15]) ).
thf(zip_derived_cl14_274,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl49_275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl224,plain,
! [X0: $i,X1: $i] :
( ( X0 = b2 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b2 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl49]) ).
thf(zip_derived_cl15048,plain,
( ! [X0: $i] :
( ( p3 = b2 )
| ~ ( incident @ p3 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b3 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3806,zip_derived_cl224]) ).
thf(zip_derived_cl3784_276,plain,
( ( b3 = p3 )
<= ( b3 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl459]) ).
thf(diff_b2_b3,axiom,
( ( b2 = b3 )
=> goal ) ).
thf(zip_derived_cl39,plain,
( goal
| ( b2 != b3 ) ),
inference(cnf,[status(esa)],[diff_b2_b3]) ).
thf(zip_derived_cl79,plain,
( ( b2 != b3 )
<= ( b2 != b3 ) ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf('70',plain,
( ( b2 != b3 )
| goal ),
inference(split,[status(esa)],[zip_derived_cl39]) ).
thf('71',plain,
b2 != b3,
inference('sat_resolution*',[status(thm)],['3','70']) ).
thf(zip_derived_cl94,plain,
b2 != b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl79,'71']) ).
thf(zip_derived_cl3811,plain,
( ( b2 != p3 )
<= ( b3 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3784,zip_derived_cl94]) ).
thf(zip_derived_cl15074,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b3 = p3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15048,zip_derived_cl3811]) ).
thf(zip_derived_cl67909,plain,
( ( ~ ( incident @ p3 @ b1b2 )
| ( b2b3 = b1b2 ) )
<= ( b3 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl15074]) ).
thf(zip_derived_cl28_277,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf(zip_derived_cl67929,plain,
( ( b2b3 = b1b2 )
<= ( b3 = p3 ) ),
inference(demod,[status(thm)],[zip_derived_cl67909,zip_derived_cl28]) ).
thf(zip_derived_cl12_278,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl67946,plain,
( ( incident @ b1 @ b2b3 )
<= ( b3 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl67929,zip_derived_cl12]) ).
thf(zip_derived_cl3784_279,plain,
( ( b3 = p3 )
<= ( b3 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl459]) ).
thf(zip_derived_cl16_280,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl3807,plain,
( ( incident @ p3 @ b3b1 )
<= ( b3 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3784,zip_derived_cl16]) ).
thf(zip_derived_cl220_281,plain,
! [X0: $i,X1: $i] :
( ( X0 = b1 )
| ~ ( incident @ X0 @ b3b1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b1 @ X1 )
| ( b3b1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl49]) ).
thf(zip_derived_cl15085,plain,
( ! [X0: $i] :
( ( p3 = b1 )
| ~ ( incident @ p3 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b3b1 = X0 ) )
<= ( b3 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3807,zip_derived_cl220]) ).
thf(zip_derived_cl3784_282,plain,
( ( b3 = p3 )
<= ( b3 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl459]) ).
thf(zip_derived_cl95_283,plain,
b3 != b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl81,'14']) ).
thf(zip_derived_cl3812,plain,
( ( p3 != b1 )
<= ( b3 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3784,zip_derived_cl95]) ).
thf(zip_derived_cl15092,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b3b1 = X0 ) )
<= ( b3 = p3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl15085,zip_derived_cl3812]) ).
thf(zip_derived_cl68110,plain,
( ( ~ ( incident @ p3 @ b2b3 )
| ( b3b1 = b2b3 ) )
<= ( b3 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl67946,zip_derived_cl15092]) ).
thf(zip_derived_cl3806_284,plain,
( ( incident @ p3 @ b2b3 )
<= ( b3 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3784,zip_derived_cl15]) ).
thf(zip_derived_cl68138,plain,
( ( b3b1 = b2b3 )
<= ( b3 = p3 ) ),
inference(demod,[status(thm)],[zip_derived_cl68110,zip_derived_cl3806]) ).
thf(zip_derived_cl32_285,plain,
incident @ p2 @ b3b1,
inference(cnf,[status(esa)],[ip2b]) ).
thf(zip_derived_cl68162,plain,
( ( incident @ p2 @ b2b3 )
<= ( b3 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl68138,zip_derived_cl32]) ).
thf(zip_derived_cl103_286,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl68256,plain,
( ( ~ ( incident @ p3 @ b2b3 )
| ~ ( incident @ p1 @ b2b3 ) )
<= ( b3 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68162,zip_derived_cl103]) ).
thf(zip_derived_cl3806_287,plain,
( ( incident @ p3 @ b2b3 )
<= ( b3 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3784,zip_derived_cl15]) ).
thf(zip_derived_cl30_288,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf('72',plain,
b3 != p3,
inference(demod,[status(thm)],[zip_derived_cl68256,zip_derived_cl3806,zip_derived_cl30]) ).
thf(zip_derived_cl323_289,plain,
( ( incident @ p3 @ b2b3 )
<= ( b2b3 = a1a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl316,zip_derived_cl27]) ).
thf(zip_derived_cl224_290,plain,
! [X0: $i,X1: $i] :
( ( X0 = b2 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b2 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl49]) ).
thf(zip_derived_cl1184,plain,
( ! [X0: $i] :
( ( p3 = b2 )
| ~ ( incident @ p3 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl224]) ).
thf('73',plain,
( ( b2b3 != a1a2 )
| ( b2 = p3 )
| ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1184]) ).
thf(zip_derived_cl15_291,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl208_292,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( b2b3 = X1 ) )
<= ( incident @ a1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).
thf(zip_derived_cl244,plain,
( ! [X0: $i] :
( ( b3 = a1 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( b2b3 = X0 ) )
<= ( incident @ a1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl208]) ).
thf(zip_derived_cl1803,plain,
( ( b3 = a1 )
<= ( b3 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl15_293,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl1822,plain,
( ( incident @ a1 @ b2b3 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1803,zip_derived_cl15]) ).
thf(zip_derived_cl51_294,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl355_295,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( ( sk_ @ X1 @ X0 )
= X3 )
| ~ ( incident @ X0 @ X3 )
| ~ ( incident @ X2 @ X3 )
| ~ ( incident @ X2 @ ( sk_ @ X1 @ X0 ) )
| ( X2 = X0 )
| ~ ( point @ X1 ) ),
inference(clc,[status(thm)],[zip_derived_cl200,zip_derived_cl33]) ).
thf(zip_derived_cl357,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( point @ X1 )
| ~ ( point @ X0 )
| ( ( sk_ @ X1 @ X0 )
= X2 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ( X1 = X0 )
| ~ ( point @ X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl355]) ).
thf(zip_derived_cl364,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X0 @ X2 )
| ( ( sk_ @ X1 @ X0 )
= X2 )
| ~ ( point @ X0 )
| ~ ( point @ X1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl357]) ).
thf(zip_derived_cl33_296,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl2361,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ ( point @ X1 )
| ( ( sk_ @ X1 @ X0 )
= X2 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ( X1 = X0 ) ),
inference(clc,[status(thm)],[zip_derived_cl364,zip_derived_cl33]) ).
thf(zip_derived_cl33_297,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl2362,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X0 @ X2 )
| ( ( sk_ @ X1 @ X0 )
= X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl2361,zip_derived_cl33]) ).
thf(zip_derived_cl2386,plain,
( ! [X0: $i] :
( ( a1 = X0 )
| ~ ( incident @ X0 @ b2b3 )
| ( ( sk_ @ a1 @ X0 )
= b2b3 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1822,zip_derived_cl2362]) ).
thf(zip_derived_cl50_298,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl1803_299,plain,
( ( b3 = a1 )
<= ( b3 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl16_300,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl1823,plain,
( ( incident @ a1 @ b3b1 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1803,zip_derived_cl16]) ).
thf(zip_derived_cl220_301,plain,
! [X0: $i,X1: $i] :
( ( X0 = b1 )
| ~ ( incident @ X0 @ b3b1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b1 @ X1 )
| ( b3b1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl49]) ).
thf(zip_derived_cl1943,plain,
( ! [X0: $i] :
( ( a1 = b1 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b3b1 = X0 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1823,zip_derived_cl220]) ).
thf(zip_derived_cl1803_302,plain,
( ( b3 = a1 )
<= ( b3 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl95_303,plain,
b3 != b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl81,'14']) ).
thf(zip_derived_cl1828,plain,
( ( a1 != b1 )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1803,zip_derived_cl95]) ).
thf(zip_derived_cl1952,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b3b1 = X0 ) )
<= ( b3 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1943,zip_derived_cl1828]) ).
thf(zip_derived_cl2955,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( point @ b1 )
| ~ ( incident @ a1 @ ( sk_ @ X0 @ b1 ) )
| ( b3b1
= ( sk_ @ X0 @ b1 ) ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl1952]) ).
thf(zip_derived_cl12_304,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl33_305,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl118,plain,
point @ b1,
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl33]) ).
thf(zip_derived_cl2962,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( incident @ a1 @ ( sk_ @ X0 @ b1 ) )
| ( b3b1
= ( sk_ @ X0 @ b1 ) ) )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2955,zip_derived_cl118]) ).
thf(zip_derived_cl69597,plain,
( ( ~ ( incident @ b1 @ b2b3 )
| ( a1 = b1 )
| ~ ( point @ a1 )
| ~ ( incident @ a1 @ b2b3 )
| ( b3b1 = b2b3 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2386,zip_derived_cl2962]) ).
thf(zip_derived_cl107_306,plain,
point @ a1,
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl33]) ).
thf(zip_derived_cl1822_307,plain,
( ( incident @ a1 @ b2b3 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1803,zip_derived_cl15]) ).
thf(zip_derived_cl69667,plain,
( ( ~ ( incident @ b1 @ b2b3 )
| ( a1 = b1 )
| ( b3b1 = b2b3 ) )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl69597,zip_derived_cl107,zip_derived_cl1822]) ).
thf(zip_derived_cl1828_308,plain,
( ( a1 != b1 )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1803,zip_derived_cl95]) ).
thf(zip_derived_cl69668,plain,
( ( ~ ( incident @ b1 @ b2b3 )
| ( b3b1 = b2b3 ) )
<= ( b3 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl69667,zip_derived_cl1828]) ).
thf(zip_derived_cl69775,plain,
( ~ ( incident @ b1 @ b2b3 )
<= ~ ( incident @ b1 @ b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl69668]) ).
thf(zip_derived_cl16_309,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl6491_310,plain,
( ( b1
= ( sk__1 @ a2a3 @ b2b3 ) )
<= ( b1
= ( sk__1 @ a2a3 @ b2b3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6322]) ).
thf(zip_derived_cl5685_311,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( incident @ ( sk__1 @ X0 @ b2b3 ) @ b2b3 )
| ~ ( line @ X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5684]) ).
thf(zip_derived_cl6503,plain,
( ( ( b1 = p3 )
| ( incident @ b1 @ b2b3 )
| ~ ( line @ a2a3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1
= ( sk__1 @ a2a3 @ b2b3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6491,zip_derived_cl5685]) ).
thf(zip_derived_cl124_312,plain,
line @ a2a3,
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl34]) ).
thf(zip_derived_cl6524,plain,
( ( ( b1 = p3 )
| ( incident @ b1 @ b2b3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1
= ( sk__1 @ a2a3 @ b2b3 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl6503,zip_derived_cl124]) ).
thf(zip_derived_cl6578,plain,
( ( incident @ b1 @ b2b3 )
<= ( incident @ b1 @ b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl6524]) ).
thf(zip_derived_cl228_313,plain,
! [X0: $i,X1: $i] :
( ( X0 = b3 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b3 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl49]) ).
thf(zip_derived_cl6588,plain,
( ! [X0: $i] :
( ( b1 = b3 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b2b3 = X0 ) )
<= ( incident @ b1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6578,zip_derived_cl228]) ).
thf(zip_derived_cl95_314,plain,
b3 != b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl81,'14']) ).
thf(zip_derived_cl6606,plain,
( ! [X0: $i] :
( ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b2b3 = X0 ) )
<= ( incident @ b1 @ b2b3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6588,zip_derived_cl95]) ).
thf(zip_derived_cl64555,plain,
( ( ~ ( incident @ b1 @ b3b1 )
| ( b2b3 = b3b1 ) )
<= ( incident @ b1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl6606]) ).
thf(zip_derived_cl17_315,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(zip_derived_cl64571,plain,
( ( b2b3 = b3b1 )
<= ( incident @ b1 @ b2b3 ) ),
inference(demod,[status(thm)],[zip_derived_cl64555,zip_derived_cl17]) ).
thf(zip_derived_cl32_316,plain,
incident @ p2 @ b3b1,
inference(cnf,[status(esa)],[ip2b]) ).
thf(zip_derived_cl64582,plain,
( ( incident @ p2 @ b2b3 )
<= ( incident @ b1 @ b2b3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl64571,zip_derived_cl32]) ).
thf(zip_derived_cl103_317,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl64681,plain,
( ( ~ ( incident @ p3 @ b2b3 )
| ~ ( incident @ p1 @ b2b3 ) )
<= ( incident @ b1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl64582,zip_derived_cl103]) ).
thf(zip_derived_cl13_318,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf(zip_derived_cl6578_319,plain,
( ( incident @ b1 @ b2b3 )
<= ( incident @ b1 @ b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl6524]) ).
thf(zip_derived_cl224_320,plain,
! [X0: $i,X1: $i] :
( ( X0 = b2 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b2 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl49]) ).
thf(zip_derived_cl6587,plain,
( ! [X0: $i] :
( ( b1 = b2 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( incident @ b1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6578,zip_derived_cl224]) ).
thf(zip_derived_cl93_321,plain,
b1 != b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl77,'9']) ).
thf(zip_derived_cl6605,plain,
( ! [X0: $i] :
( ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( incident @ b1 @ b2b3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl6587,zip_derived_cl93]) ).
thf(zip_derived_cl64387,plain,
( ( ~ ( incident @ b1 @ b1b2 )
| ( b2b3 = b1b2 ) )
<= ( incident @ b1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl6605]) ).
thf(zip_derived_cl12_322,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl64408,plain,
( ( b2b3 = b1b2 )
<= ( incident @ b1 @ b2b3 ) ),
inference(demod,[status(thm)],[zip_derived_cl64387,zip_derived_cl12]) ).
thf(zip_derived_cl28_323,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf(zip_derived_cl64420,plain,
( ( incident @ p3 @ b2b3 )
<= ( incident @ b1 @ b2b3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl64408,zip_derived_cl28]) ).
thf(zip_derived_cl30_324,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf('74',plain,
~ ( incident @ b1 @ b2b3 ),
inference(demod,[status(thm)],[zip_derived_cl64681,zip_derived_cl64420,zip_derived_cl30]) ).
thf('75',plain,
~ ( incident @ b1 @ b2b3 ),
inference('sat_resolution*',[status(thm)],['74']) ).
thf(zip_derived_cl69777,plain,
~ ( incident @ b1 @ b2b3 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl69775,'75']) ).
thf(zip_derived_cl13_325,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf(zip_derived_cl19937,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1184]) ).
thf(zip_derived_cl19951,plain,
( ( ~ ( incident @ p3 @ b1b2 )
| ( b2b3 = b1b2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl19937]) ).
thf(zip_derived_cl28_326,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf(zip_derived_cl19963,plain,
( ( b2b3 = b1b2 )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl19951,zip_derived_cl28]) ).
thf(zip_derived_cl12_327,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl19970,plain,
( ( incident @ b1 @ b2b3 )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19963,zip_derived_cl12]) ).
thf('76',plain,
~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl69777,zip_derived_cl19970]) ).
thf(zip_derived_cl51_328,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl250,plain,
( ( p1 = a1 )
<= ( p1 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl6_329,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl269,plain,
( ( incident @ p1 @ a1a2 )
<= ( p1 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl250,zip_derived_cl6]) ).
thf(zip_derived_cl203_330,plain,
! [X0: $i,X1: $i] :
( ( X0 = p3 )
| ~ ( incident @ X0 @ a1a2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p3 @ X1 )
| ( a1a2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl49]) ).
thf(zip_derived_cl456,plain,
( ! [X0: $i] :
( ( p1 = p3 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 ) )
<= ( p1 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl203]) ).
thf(zip_derived_cl3497,plain,
( ( p1 = p3 )
<= ( p1 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl456]) ).
thf(zip_derived_cl51_331,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl103_332,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl50_333,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl187,plain,
! [X0: $i] :
( ~ ( incident @ p1 @ ( sk_ @ X0 @ p2 ) )
| ~ ( incident @ p3 @ ( sk_ @ X0 @ p2 ) )
| ~ ( point @ p2 )
| ~ ( point @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl50]) ).
thf(zip_derived_cl31_334,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf(zip_derived_cl33_335,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl168,plain,
point @ p2,
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl33]) ).
thf(zip_derived_cl188,plain,
! [X0: $i] :
( ~ ( incident @ p1 @ ( sk_ @ X0 @ p2 ) )
| ~ ( incident @ p3 @ ( sk_ @ X0 @ p2 ) )
| ~ ( point @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl187,zip_derived_cl168]) ).
thf(zip_derived_cl197,plain,
( ~ ( point @ p1 )
| ~ ( point @ p2 )
| ~ ( incident @ p3 @ ( sk_ @ p1 @ p2 ) )
| ~ ( point @ p1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl188]) ).
thf(zip_derived_cl164_336,plain,
point @ p1,
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl33]) ).
thf(zip_derived_cl168_337,plain,
point @ p2,
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl33]) ).
thf(zip_derived_cl164_338,plain,
point @ p1,
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl33]) ).
thf(zip_derived_cl198,plain,
~ ( incident @ p3 @ ( sk_ @ p1 @ p2 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl164,zip_derived_cl168,zip_derived_cl164]) ).
thf(zip_derived_cl3542,plain,
( ~ ( incident @ p3 @ ( sk_ @ p3 @ p2 ) )
<= ( p1 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3497,zip_derived_cl198]) ).
thf(zip_derived_cl3646,plain,
( ( ~ ( point @ p3 )
| ~ ( point @ p2 ) )
<= ( p1 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl3542]) ).
thf(zip_derived_cl160_339,plain,
point @ p3,
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).
thf(zip_derived_cl168_340,plain,
point @ p2,
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl33]) ).
thf('77',plain,
p1 != p3,
inference(demod,[status(thm)],[zip_derived_cl3646,zip_derived_cl160,zip_derived_cl168]) ).
thf(zip_derived_cl323_341,plain,
( ( incident @ p3 @ b2b3 )
<= ( b2b3 = a1a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl316,zip_derived_cl27]) ).
thf(zip_derived_cl204_342,plain,
! [X0: $i,X1: $i] :
( ( X0 = p1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p1 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl49]) ).
thf(zip_derived_cl580,plain,
( ! [X0: $i] :
( ( p3 = p1 )
| ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl323,zip_derived_cl204]) ).
thf('78',plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) )
| ( p1 = p3 )
| ( b2b3 != a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl580]) ).
thf(zip_derived_cl19494,plain,
( ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1155]) ).
thf(zip_derived_cl20_343,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl19514,plain,
( ( ~ ( incident @ b1 @ s3 )
| ( s1 = s3 ) )
<= ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19494,zip_derived_cl20]) ).
thf('79',plain,
( ~ ( incident @ b1 @ s3 )
| ~ ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( s1 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl19514]) ).
thf(zip_derived_cl7073,plain,
( ( b3b1 = s1 )
<= ( b3b1 = s1 ) ),
inference(split,[status(esa)],[zip_derived_cl5429]) ).
thf(zip_derived_cl21_344,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl7075,plain,
( ( incident @ a1 @ b3b1 )
<= ( b3b1 = s1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7073,zip_derived_cl21]) ).
thf(zip_derived_cl1348,plain,
( ~ ( incident @ a1 @ b3b1 )
<= ~ ( incident @ a1 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl1275]) ).
thf('80',plain,
( ( b3b1 != s1 )
| ( incident @ a1 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7075,zip_derived_cl1348]) ).
thf(zip_derived_cl15_345,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl518_346,plain,
( ( incident @ s @ b2b3 )
<= ( b2b3 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl504,zip_derived_cl20]) ).
thf(zip_derived_cl224_347,plain,
! [X0: $i,X1: $i] :
( ( X0 = b2 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b2 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl49]) ).
thf(zip_derived_cl1203,plain,
( ! [X0: $i] :
( ( s = b2 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl224]) ).
thf(zip_derived_cl20718,plain,
( ( s = b2 )
<= ( s = b2 ) ),
inference(split,[status(esa)],[zip_derived_cl1203]) ).
thf(zip_derived_cl20_348,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl20804,plain,
( ( incident @ b2 @ s3 )
<= ( s = b2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20718,zip_derived_cl20]) ).
thf(zip_derived_cl26_349,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl49_350,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl231,plain,
! [X0: $i,X1: $i] :
( ( X0 = b3 )
| ~ ( incident @ X0 @ s3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b3 @ X1 )
| ( s3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl49]) ).
thf(zip_derived_cl43100,plain,
( ! [X0: $i] :
( ( b2 = b3 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( s3 = X0 ) )
<= ( s = b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20804,zip_derived_cl231]) ).
thf(zip_derived_cl94_351,plain,
b2 != b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl79,'71']) ).
thf(zip_derived_cl43152,plain,
( ! [X0: $i] :
( ~ ( incident @ b2 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( s3 = X0 ) )
<= ( s = b2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl43100,zip_derived_cl94]) ).
thf(zip_derived_cl78531,plain,
( ( ~ ( incident @ b2 @ b2b3 )
| ( s3 = b2b3 ) )
<= ( s = b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl43152]) ).
thf(zip_derived_cl14_352,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl78548,plain,
( ( s3 = b2b3 )
<= ( s = b2 ) ),
inference(demod,[status(thm)],[zip_derived_cl78531,zip_derived_cl14]) ).
thf(zip_derived_cl23_353,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl78591,plain,
( ( incident @ a3 @ b2b3 )
<= ( s = b2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl78548,zip_derived_cl23]) ).
thf(zip_derived_cl614_354,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a3a1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl603,zip_derived_cl92]) ).
thf(zip_derived_cl78695,plain,
( ( ~ ( incident @ a1 @ b2b3 )
| ( a3a1 = b2b3 ) )
<= ( s = b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl78591,zip_derived_cl614]) ).
thf('81',plain,
( ~ ( incident @ a1 @ b2b3 )
| ( s != b2 )
| ( b2b3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl78695]) ).
thf(zip_derived_cl614_355,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a3a1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl603,zip_derived_cl92]) ).
thf(zip_derived_cl504_356,plain,
( ( b2b3 = s3 )
<= ( b2b3 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl397]) ).
thf(zip_derived_cl23_357,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl519,plain,
( ( incident @ a3 @ b2b3 )
<= ( b2b3 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl504,zip_derived_cl23]) ).
thf(zip_derived_cl7414,plain,
( ( ( a3a1 = b2b3 )
| ~ ( incident @ a1 @ b2b3 ) )
<= ( b2b3 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl614,zip_derived_cl519]) ).
thf('82',plain,
( ( b2b3 != s3 )
| ~ ( incident @ a1 @ b2b3 )
| ( b2b3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl7414]) ).
thf(zip_derived_cl20_358,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl27011,plain,
( ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1441]) ).
thf(zip_derived_cl27062,plain,
( ( ( b2b3 = s3 )
| ~ ( incident @ b3 @ s3 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl27011]) ).
thf(zip_derived_cl26_359,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl27088,plain,
( ( b2b3 = s3 )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl27062,zip_derived_cl26]) ).
thf(zip_derived_cl23_360,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl27182,plain,
( ( incident @ a3 @ b2b3 )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27088,zip_derived_cl23]) ).
thf(zip_derived_cl614_361,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a3a1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl603,zip_derived_cl92]) ).
thf(zip_derived_cl46170,plain,
( ( ~ ( incident @ a1 @ b2b3 )
| ( a3a1 = b2b3 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl27182,zip_derived_cl614]) ).
thf('83',plain,
( ~ ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ~ ( incident @ a1 @ b2b3 )
| ( b2b3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl46170]) ).
thf(zip_derived_cl69,plain,
( ( incident @ b2 @ a3a1 )
<= ( incident @ b2 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl209_362,plain,
! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ a3a1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( a3a1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl49]) ).
thf(zip_derived_cl604,plain,
( ! [X0: $i] :
( ( b2 = a1 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a3a1 = X0 ) )
<= ( incident @ b2 @ a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl209]) ).
thf(zip_derived_cl7197,plain,
( ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) )
<= ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl604]) ).
thf(zip_derived_cl14_363,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl7201,plain,
( ( ~ ( incident @ a1 @ b2b3 )
| ( a3a1 = b2b3 ) )
<= ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7197,zip_derived_cl14]) ).
thf('84',plain,
( ~ ( incident @ a1 @ b2b3 )
| ~ ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) )
| ( b2b3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl7201]) ).
thf(zip_derived_cl1802,plain,
( ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b3 @ X0 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl16_364,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl1807,plain,
( ( ~ ( incident @ a1 @ b3b1 )
| ( b2b3 = b3b1 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1802,zip_derived_cl16]) ).
thf('85',plain,
( ~ ( incident @ a1 @ b3b1 )
| ~ ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b3 @ X0 ) )
| ( b2b3 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl1807]) ).
thf(zip_derived_cl1847,plain,
( ( b2b3 = b3b1 )
<= ( b2b3 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl1807]) ).
thf(zip_derived_cl32_365,plain,
incident @ p2 @ b3b1,
inference(cnf,[status(esa)],[ip2b]) ).
thf(zip_derived_cl1850,plain,
( ( incident @ p2 @ b2b3 )
<= ( b2b3 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1847,zip_derived_cl32]) ).
thf(zip_derived_cl103_366,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl2034,plain,
( ( ~ ( incident @ p3 @ b2b3 )
| ~ ( incident @ p1 @ b2b3 ) )
<= ( b2b3 = b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1850,zip_derived_cl103]) ).
thf(zip_derived_cl30_367,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf(zip_derived_cl2035,plain,
( ~ ( incident @ p3 @ b2b3 )
<= ( b2b3 = b3b1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2034,zip_derived_cl30]) ).
thf(zip_derived_cl13_368,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf(zip_derived_cl1847_369,plain,
( ( b2b3 = b3b1 )
<= ( b2b3 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl1807]) ).
thf(zip_derived_cl17_370,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(zip_derived_cl1849,plain,
( ( incident @ b1 @ b2b3 )
<= ( b2b3 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1847,zip_derived_cl17]) ).
thf(zip_derived_cl224_371,plain,
! [X0: $i,X1: $i] :
( ( X0 = b2 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b2 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl49]) ).
thf(zip_derived_cl1985,plain,
( ! [X0: $i] :
( ( b1 = b2 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1849,zip_derived_cl224]) ).
thf(zip_derived_cl93_372,plain,
b1 != b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl77,'9']) ).
thf(zip_derived_cl1988,plain,
( ! [X0: $i] :
( ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = b3b1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1985,zip_derived_cl93]) ).
thf(zip_derived_cl41705,plain,
( ( ~ ( incident @ b1 @ b1b2 )
| ( b2b3 = b1b2 ) )
<= ( b2b3 = b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl1988]) ).
thf(zip_derived_cl12_373,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl41723,plain,
( ( b2b3 = b1b2 )
<= ( b2b3 = b3b1 ) ),
inference(demod,[status(thm)],[zip_derived_cl41705,zip_derived_cl12]) ).
thf(zip_derived_cl28_374,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf(zip_derived_cl41732,plain,
( ( incident @ p3 @ b2b3 )
<= ( b2b3 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl41723,zip_derived_cl28]) ).
thf('86',plain,
b2b3 != b3b1,
inference(demod,[status(thm)],[zip_derived_cl2035,zip_derived_cl41732]) ).
thf(zip_derived_cl303_375,plain,
( ( b2b3 = a3a1 )
<= ( b2b3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl31_376,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf(zip_derived_cl103_377,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl170,plain,
( ~ ( incident @ p3 @ a3a1 )
| ~ ( incident @ p1 @ a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl103]) ).
thf(zip_derived_cl172,plain,
( ~ ( incident @ p1 @ a3a1 )
<= ~ ( incident @ p1 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl311,plain,
( ~ ( incident @ p1 @ b2b3 )
<= ( ~ ( incident @ p1 @ a3a1 )
& ( b2b3 = a3a1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl303,zip_derived_cl172]) ).
thf(zip_derived_cl30_378,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf('87',plain,
( ( b2b3 != a3a1 )
| ( incident @ p1 @ a3a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl30]) ).
thf('88',plain,
( ~ ( incident @ a1 @ b2b3 )
| ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b3 @ X0 ) )
| ( b3 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl31_379,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf(zip_derived_cl11_380,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl2362_381,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X0 @ X2 )
| ( ( sk_ @ X1 @ X0 )
= X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl2361,zip_derived_cl33]) ).
thf(zip_derived_cl2389,plain,
! [X0: $i] :
( ( a1 = X0 )
| ~ ( incident @ X0 @ a3a1 )
| ( ( sk_ @ a1 @ X0 )
= a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl2362]) ).
thf(zip_derived_cl1823_382,plain,
( ( incident @ a1 @ b3b1 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1803,zip_derived_cl16]) ).
thf(zip_derived_cl2362_383,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X0 @ X2 )
| ( ( sk_ @ X1 @ X0 )
= X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl2361,zip_derived_cl33]) ).
thf(zip_derived_cl2387,plain,
( ! [X0: $i] :
( ( a1 = X0 )
| ~ ( incident @ X0 @ b3b1 )
| ( ( sk_ @ a1 @ X0 )
= b3b1 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1823,zip_derived_cl2362]) ).
thf(zip_derived_cl53351,plain,
( ! [X0: $i] :
( ~ ( incident @ X0 @ a3a1 )
| ( a1 = X0 )
| ( a1 = X0 )
| ~ ( incident @ X0 @ b3b1 )
| ( a3a1 = b3b1 ) )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2389,zip_derived_cl2387]) ).
thf(zip_derived_cl53455,plain,
( ! [X0: $i] :
( ( a3a1 = b3b1 )
| ~ ( incident @ X0 @ b3b1 )
| ( a1 = X0 )
| ~ ( incident @ X0 @ a3a1 ) )
<= ( b3 = a1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl53351]) ).
thf(zip_derived_cl98_384,plain,
a3a1 != b3b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl87,'45']) ).
thf(zip_derived_cl53456,plain,
( ! [X0: $i] :
( ~ ( incident @ X0 @ b3b1 )
| ( a1 = X0 )
| ~ ( incident @ X0 @ a3a1 ) )
<= ( b3 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl53455,zip_derived_cl98]) ).
thf(zip_derived_cl81052,plain,
( ( ~ ( incident @ p2 @ b3b1 )
| ( a1 = p2 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl53456]) ).
thf(zip_derived_cl32_385,plain,
incident @ p2 @ b3b1,
inference(cnf,[status(esa)],[ip2b]) ).
thf(zip_derived_cl81080,plain,
( ( a1 = p2 )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl81052,zip_derived_cl32]) ).
thf(zip_derived_cl6_386,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl81191,plain,
( ( incident @ p2 @ a1a2 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl81080,zip_derived_cl6]) ).
thf(zip_derived_cl103_387,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl81908,plain,
( ( ~ ( incident @ p3 @ a1a2 )
| ~ ( incident @ p1 @ a1a2 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl81191,zip_derived_cl103]) ).
thf(zip_derived_cl27_388,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl81935,plain,
( ~ ( incident @ p1 @ a1a2 )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl81908,zip_derived_cl27]) ).
thf(zip_derived_cl25_389,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl1822_390,plain,
( ( incident @ a1 @ b2b3 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1803,zip_derived_cl15]) ).
thf(zip_derived_cl224_391,plain,
! [X0: $i,X1: $i] :
( ( X0 = b2 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b2 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl49]) ).
thf(zip_derived_cl1924,plain,
( ! [X0: $i] :
( ( a1 = b2 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1822,zip_derived_cl224]) ).
thf(zip_derived_cl1803_392,plain,
( ( b3 = a1 )
<= ( b3 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl94_393,plain,
b2 != b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl79,'71']) ).
thf(zip_derived_cl1827,plain,
( ( b2 != a1 )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1803,zip_derived_cl94]) ).
thf(zip_derived_cl1934,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b3 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1924,zip_derived_cl1827]) ).
thf(zip_derived_cl81080_394,plain,
( ( a1 = p2 )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl81052,zip_derived_cl32]) ).
thf(zip_derived_cl81181,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1934,zip_derived_cl81080]) ).
thf(zip_derived_cl86641,plain,
( ( ~ ( incident @ p2 @ s2 )
| ( b2b3 = s2 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl81181]) ).
thf(zip_derived_cl10_395,plain,
incident @ a3 @ a3a1,
inference(cnf,[status(esa)],[ia3a1]) ).
thf(zip_derived_cl1803_396,plain,
( ( b3 = a1 )
<= ( b3 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl244]) ).
thf(zip_derived_cl26_397,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl1824,plain,
( ( incident @ a1 @ s3 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1803,zip_derived_cl26]) ).
thf(zip_derived_cl219_398,plain,
! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ s3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( s3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl49]) ).
thf(zip_derived_cl1958,plain,
( ! [X0: $i] :
( ( a1 = a3 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( s3 = X0 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1824,zip_derived_cl219]) ).
thf(zip_derived_cl92_399,plain,
a3 != a1,
inference(simpl_trail,[status(thm)],[zip_derived_cl75,'7']) ).
thf(zip_derived_cl1967,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( s3 = X0 ) )
<= ( b3 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1958,zip_derived_cl92]) ).
thf(zip_derived_cl40726,plain,
( ( ~ ( incident @ a1 @ a3a1 )
| ( s3 = a3a1 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1967]) ).
thf(zip_derived_cl11_400,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl40756,plain,
( ( s3 = a3a1 )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl40726,zip_derived_cl11]) ).
thf(zip_derived_cl20_401,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl40770,plain,
( ( incident @ s @ a3a1 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl40756,zip_derived_cl20]) ).
thf(zip_derived_cl53456_402,plain,
( ! [X0: $i] :
( ~ ( incident @ X0 @ b3b1 )
| ( a1 = X0 )
| ~ ( incident @ X0 @ a3a1 ) )
<= ( b3 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl53455,zip_derived_cl98]) ).
thf(zip_derived_cl81065,plain,
( ( ~ ( incident @ s @ b3b1 )
| ( a1 = s ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl40770,zip_derived_cl53456]) ).
thf(zip_derived_cl24_403,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl1952_404,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b3b1 = X0 ) )
<= ( b3 = a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1943,zip_derived_cl1828]) ).
thf(zip_derived_cl2961,plain,
( ( ~ ( incident @ a1 @ s1 )
| ( b3b1 = s1 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl1952]) ).
thf(zip_derived_cl21_405,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl2966,plain,
( ( b3b1 = s1 )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2961,zip_derived_cl21]) ).
thf(zip_derived_cl18_406,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl2972,plain,
( ( incident @ s @ b3b1 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2966,zip_derived_cl18]) ).
thf(zip_derived_cl81095,plain,
( ( a1 = s )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl81065,zip_derived_cl2972]) ).
thf(zip_derived_cl81080_407,plain,
( ( a1 = p2 )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl81052,zip_derived_cl32]) ).
thf(zip_derived_cl81396,plain,
( ( p2 = s )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl81095,zip_derived_cl81080]) ).
thf(zip_derived_cl19_408,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl81402,plain,
( ( incident @ p2 @ s2 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl81396,zip_derived_cl19]) ).
thf(zip_derived_cl86660,plain,
( ( b2b3 = s2 )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl86641,zip_derived_cl81402]) ).
thf(zip_derived_cl22_409,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl86675,plain,
( ( incident @ a2 @ b2b3 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl86660,zip_derived_cl22]) ).
thf(zip_derived_cl675_410,plain,
! [X0: $i] :
( ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a1a2 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl664,zip_derived_cl90]) ).
thf(zip_derived_cl86757,plain,
( ( ~ ( incident @ a1 @ b2b3 )
| ( a1a2 = b2b3 ) )
<= ( b3 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl86675,zip_derived_cl675]) ).
thf(zip_derived_cl81080_411,plain,
( ( a1 = p2 )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl81052,zip_derived_cl32]) ).
thf(zip_derived_cl1822_412,plain,
( ( incident @ a1 @ b2b3 )
<= ( b3 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1803,zip_derived_cl15]) ).
thf(zip_derived_cl81080_413,plain,
( ( a1 = p2 )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl81052,zip_derived_cl32]) ).
thf(zip_derived_cl81176,plain,
( ( incident @ p2 @ b2b3 )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1822,zip_derived_cl81080]) ).
thf(zip_derived_cl86809,plain,
( ( a1a2 = b2b3 )
<= ( b3 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl86757,zip_derived_cl81080,zip_derived_cl81176]) ).
thf(zip_derived_cl30_414,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf('89',plain,
b3 != a1,
inference(demod,[status(thm)],[zip_derived_cl81935,zip_derived_cl86809,zip_derived_cl30]) ).
thf(zip_derived_cl69_415,plain,
( ( incident @ b2 @ a3a1 )
<= ( incident @ b2 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl31_416,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf(zip_derived_cl49_417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl207,plain,
! [X0: $i,X1: $i] :
( ( X0 = p2 )
| ~ ( incident @ X0 @ a3a1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p2 @ X1 )
| ( a3a1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl49]) ).
thf(zip_derived_cl567,plain,
( ! [X0: $i] :
( ( b2 = p2 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( a3a1 = X0 ) )
<= ( incident @ b2 @ a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl207]) ).
thf(zip_derived_cl6354,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( a3a1 = X0 )
| ~ ( incident @ b2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( a3a1 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl567]) ).
thf(zip_derived_cl25_418,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl6363,plain,
( ( ( a3a1 = s2 )
| ~ ( incident @ p2 @ s2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( a3a1 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6354,zip_derived_cl25]) ).
thf(zip_derived_cl7973,plain,
( ( a3a1 = s2 )
<= ( a3a1 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl6363]) ).
thf(zip_derived_cl68_419,plain,
( ( incident @ a2 @ b3b1 )
<= ( incident @ a2 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf(zip_derived_cl206_420,plain,
! [X0: $i,X1: $i] :
( ( X0 = p2 )
| ~ ( incident @ X0 @ b3b1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p2 @ X1 )
| ( b3b1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl49]) ).
thf(zip_derived_cl546,plain,
( ! [X0: $i] :
( ( a2 = p2 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 ) )
<= ( incident @ a2 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl206]) ).
thf(zip_derived_cl5335,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ a2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl546]) ).
thf(zip_derived_cl22_421,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl5345,plain,
( ( ( b3b1 = s2 )
| ~ ( incident @ p2 @ s2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5335,zip_derived_cl22]) ).
thf(zip_derived_cl6788,plain,
( ~ ( incident @ p2 @ s2 )
<= ~ ( incident @ p2 @ s2 ) ),
inference(split,[status(esa)],[zip_derived_cl5345]) ).
thf(zip_derived_cl7993,plain,
( ~ ( incident @ p2 @ a3a1 )
<= ( ~ ( incident @ p2 @ s2 )
& ( a3a1 = s2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7973,zip_derived_cl6788]) ).
thf(zip_derived_cl31_422,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf('90',plain,
( ( a3a1 != s2 )
| ( incident @ p2 @ s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl7993,zip_derived_cl31]) ).
thf(zip_derived_cl8_423,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf(zip_derived_cl322_424,plain,
( ( incident @ a2 @ b2b3 )
<= ( b2b3 = a1a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl316,zip_derived_cl7]) ).
thf(zip_derived_cl204_425,plain,
! [X0: $i,X1: $i] :
( ( X0 = p1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p1 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl49]) ).
thf(zip_derived_cl560,plain,
( ! [X0: $i] :
( ( a2 = p1 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl322,zip_derived_cl204]) ).
thf(zip_derived_cl5865,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl560]) ).
thf(zip_derived_cl5882,plain,
( ( ~ ( incident @ p1 @ a2a3 )
| ( b2b3 = a2a3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl5865]) ).
thf(zip_derived_cl29_426,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf(zip_derived_cl5892,plain,
( ( b2b3 = a2a3 )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl5882,zip_derived_cl29]) ).
thf(zip_derived_cl97_427,plain,
a2a3 != b2b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl85,'54']) ).
thf('91',plain,
~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5892,zip_derived_cl97]) ).
thf(zip_derived_cl820_428,plain,
( ( b2b3 = s2 )
<= ( b2b3 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl775]) ).
thf(zip_derived_cl22_429,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl823,plain,
( ( incident @ a2 @ b2b3 )
<= ( b2b3 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl820,zip_derived_cl22]) ).
thf(zip_derived_cl204_430,plain,
! [X0: $i,X1: $i] :
( ( X0 = p1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p1 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl49]) ).
thf(zip_derived_cl953,plain,
( ! [X0: $i] :
( ( a2 = p1 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl204]) ).
thf('92',plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 ) )
| ( a2 = p1 )
| ( b2b3 != s2 ) ),
inference(split,[status(esa)],[zip_derived_cl953]) ).
thf(zip_derived_cl69777_431,plain,
~ ( incident @ b1 @ b2b3 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl69775,'75']) ).
thf(zip_derived_cl18_432,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl518_433,plain,
( ( incident @ s @ b2b3 )
<= ( b2b3 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl504,zip_derived_cl20]) ).
thf(zip_derived_cl208_434,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a1 @ X1 )
| ( b2b3 = X1 ) )
<= ( incident @ a1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl66,zip_derived_cl49]) ).
thf(zip_derived_cl727,plain,
( ! [X0: $i] :
( ( s = a1 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( b2b3 = s3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl518,zip_derived_cl208]) ).
thf(zip_derived_cl8700,plain,
( ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl727]) ).
thf(zip_derived_cl8727,plain,
( ( ( b2b3 = s1 )
| ~ ( incident @ a1 @ s1 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18,zip_derived_cl8700]) ).
thf(zip_derived_cl21_435,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl8741,plain,
( ( b2b3 = s1 )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl8727,zip_derived_cl21]) ).
thf(zip_derived_cl24_436,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl8753,plain,
( ( incident @ b1 @ b2b3 )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8741,zip_derived_cl24]) ).
thf('93',plain,
~ ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl69777,zip_derived_cl8753]) ).
thf(zip_derived_cl51_437,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl5422_438,plain,
( ( b1 = p2 )
<= ( b1 = p2 ) ),
inference(split,[status(esa)],[zip_derived_cl547]) ).
thf(zip_derived_cl12511_439,plain,
( ( b1 = s )
<= ( b1 = s ) ),
inference(split,[status(esa)],[zip_derived_cl12485]) ).
thf(zip_derived_cl12397_440,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( ( sk__1 @ X0 @ b2b3 )
= s )
| ~ ( incident @ ( sk__1 @ X0 @ b2b3 ) @ X1 )
| ~ ( incident @ s @ X1 )
| ( b2b3 = X1 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5685,zip_derived_cl947]) ).
thf(zip_derived_cl50_441,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl12441,plain,
( ! [X0: $i,X1: $i] :
( ( b2b3
= ( sk_ @ X1 @ ( sk__1 @ X0 @ b2b3 ) ) )
| ~ ( incident @ s @ ( sk_ @ X1 @ ( sk__1 @ X0 @ b2b3 ) ) )
| ( ( sk__1 @ X0 @ b2b3 )
= s )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ~ ( line @ X0 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) )
| ~ ( point @ X1 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12397,zip_derived_cl50]) ).
thf(zip_derived_cl5685_442,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( incident @ ( sk__1 @ X0 @ b2b3 ) @ b2b3 )
| ~ ( line @ X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(simplify,[status(thm)],[zip_derived_cl5684]) ).
thf(zip_derived_cl33_443,plain,
! [X0: $i,X1: $i] :
( ( point @ X0 )
| ~ ( incident @ X0 @ X1 ) ),
inference(cnf,[status(esa)],[sort_point]) ).
thf(zip_derived_cl5692,plain,
( ! [X0: $i] :
( ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( point @ ( sk__1 @ X0 @ b2b3 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5685,zip_derived_cl33]) ).
thf(zip_derived_cl14718,plain,
( ! [X0: $i,X1: $i] :
( ~ ( point @ X1 )
| ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( ( sk__1 @ X0 @ b2b3 )
= s )
| ~ ( incident @ s @ ( sk_ @ X1 @ ( sk__1 @ X0 @ b2b3 ) ) )
| ( b2b3
= ( sk_ @ X1 @ ( sk__1 @ X0 @ b2b3 ) ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl12441,zip_derived_cl5692]) ).
thf(zip_derived_cl14754,plain,
( ! [X0: $i,X1: $i] :
( ~ ( point @ X1 )
| ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( ( sk__1 @ X0 @ b2b3 )
= b1 )
| ~ ( incident @ b1 @ ( sk_ @ X1 @ ( sk__1 @ X0 @ b2b3 ) ) )
| ( b2b3
= ( sk_ @ X1 @ ( sk__1 @ X0 @ b2b3 ) ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = s ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12511,zip_derived_cl14718]) ).
thf(zip_derived_cl16542,plain,
( ! [X0: $i,X1: $i] :
( ~ ( point @ X1 )
| ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( ( sk__1 @ X0 @ b2b3 )
= p2 )
| ~ ( incident @ p2 @ ( sk_ @ X1 @ ( sk__1 @ X0 @ b2b3 ) ) )
| ( b2b3
= ( sk_ @ X1 @ ( sk__1 @ X0 @ b2b3 ) ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = p2 )
& ( b1 = s ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5422,zip_derived_cl14754]) ).
thf(zip_derived_cl17739,plain,
( ! [X0: $i] :
( ~ ( point @ p2 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) )
| ~ ( point @ p2 )
| ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( ( sk__1 @ X0 @ b2b3 )
= p2 )
| ( b2b3
= ( sk_ @ p2 @ ( sk__1 @ X0 @ b2b3 ) ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = p2 )
& ( b1 = s ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl16542]) ).
thf(zip_derived_cl168_444,plain,
point @ p2,
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl33]) ).
thf(zip_derived_cl168_445,plain,
point @ p2,
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl33]) ).
thf(zip_derived_cl17771,plain,
( ! [X0: $i] :
( ~ ( point @ ( sk__1 @ X0 @ b2b3 ) )
| ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( ( sk__1 @ X0 @ b2b3 )
= p2 )
| ( b2b3
= ( sk_ @ p2 @ ( sk__1 @ X0 @ b2b3 ) ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = p2 )
& ( b1 = s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17739,zip_derived_cl168,zip_derived_cl168]) ).
thf(zip_derived_cl5692_446,plain,
( ! [X0: $i] :
( ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( point @ ( sk__1 @ X0 @ b2b3 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5685,zip_derived_cl33]) ).
thf(zip_derived_cl17958,plain,
( ! [X0: $i] :
( ( b2b3
= ( sk_ @ p2 @ ( sk__1 @ X0 @ b2b3 ) ) )
| ( ( sk__1 @ X0 @ b2b3 )
= p2 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ~ ( line @ X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = p2 )
& ( b1 = s ) ) ),
inference(clc,[status(thm)],[zip_derived_cl17771,zip_derived_cl5692]) ).
thf(zip_derived_cl103_447,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl51_448,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl193,plain,
! [X0: $i] :
( ~ ( incident @ p1 @ ( sk_ @ p2 @ X0 ) )
| ~ ( incident @ p3 @ ( sk_ @ p2 @ X0 ) )
| ~ ( point @ X0 )
| ~ ( point @ p2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl103,zip_derived_cl51]) ).
thf(zip_derived_cl168_449,plain,
point @ p2,
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl33]) ).
thf(zip_derived_cl194,plain,
! [X0: $i] :
( ~ ( incident @ p1 @ ( sk_ @ p2 @ X0 ) )
| ~ ( incident @ p3 @ ( sk_ @ p2 @ X0 ) )
| ~ ( point @ X0 ) ),
inference(demod,[status(thm)],[zip_derived_cl193,zip_derived_cl168]) ).
thf(zip_derived_cl17977,plain,
( ! [X0: $i] :
( ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( ( sk__1 @ X0 @ b2b3 )
= p2 )
| ~ ( incident @ p1 @ b2b3 )
| ~ ( incident @ p3 @ b2b3 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = p2 )
& ( b1 = s ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17958,zip_derived_cl194]) ).
thf(zip_derived_cl30_450,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf(zip_derived_cl1003_451,plain,
( ( s2 = a1a2 )
<= ( b2 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl997,zip_derived_cl6]) ).
thf(zip_derived_cl820_452,plain,
( ( b2b3 = s2 )
<= ( b2b3 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl775]) ).
thf(zip_derived_cl1036,plain,
( ( b2b3 = a1a2 )
<= ( ( b2 = a1 )
& ( b2b3 = s2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1003,zip_derived_cl820]) ).
thf(zip_derived_cl27_453,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl1077,plain,
( ( incident @ p3 @ b2b3 )
<= ( ( b2 = a1 )
& ( b2b3 = s2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1036,zip_derived_cl27]) ).
thf(zip_derived_cl18057,plain,
( ! [X0: $i] :
( ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( ( sk__1 @ X0 @ b2b3 )
= p2 )
| ~ ( point @ ( sk__1 @ X0 @ b2b3 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = p2 )
& ( b1 = s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl17977,zip_derived_cl30,zip_derived_cl1077]) ).
thf(zip_derived_cl5692_454,plain,
( ! [X0: $i] :
( ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ( point @ ( sk__1 @ X0 @ b2b3 ) ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5685,zip_derived_cl33]) ).
thf(zip_derived_cl18399,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 @ b2b3 )
= p2 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ~ ( line @ X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = p2 )
& ( b1 = s ) ) ),
inference(clc,[status(thm)],[zip_derived_cl18057,zip_derived_cl5692]) ).
thf(zip_derived_cl53_455,plain,
! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ~ ( line @ X1 )
| ( incident @ ( sk__1 @ X1 @ X0 ) @ X1 ) ),
inference(cnf,[status(esa)],[meet]) ).
thf(zip_derived_cl216_456,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( b1b2 = X1 ) )
<= ( incident @ a3 @ b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl49]) ).
thf(zip_derived_cl874,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ b1b2 )
| ~ ( line @ X0 )
| ( ( sk__1 @ b1b2 @ X0 )
= a3 )
| ~ ( incident @ ( sk__1 @ b1b2 @ X0 ) @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( b1b2 = X1 ) )
<= ( incident @ a3 @ b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl53,zip_derived_cl216]) ).
thf(zip_derived_cl12_457,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl34_458,plain,
! [X0: $i,X1: $i] :
( ( line @ X0 )
| ~ ( incident @ X1 @ X0 ) ),
inference(cnf,[status(esa)],[sort_line]) ).
thf(zip_derived_cl129,plain,
line @ b1b2,
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl34]) ).
thf(zip_derived_cl882,plain,
( ! [X0: $i,X1: $i] :
( ~ ( line @ X0 )
| ( ( sk__1 @ b1b2 @ X0 )
= a3 )
| ~ ( incident @ ( sk__1 @ b1b2 @ X0 ) @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( b1b2 = X1 ) )
<= ( incident @ a3 @ b1b2 ) ),
inference(demod,[status(thm)],[zip_derived_cl874,zip_derived_cl129]) ).
thf(zip_derived_cl18442,plain,
( ! [X0: $i] :
( ~ ( line @ b1b2 )
| ( ( sk__1 @ b1b2 @ b2b3 )
= p3 )
| ~ ( line @ b2b3 )
| ( p2 = a3 )
| ~ ( incident @ p2 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( b1b2 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( incident @ a3 @ b1b2 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = p2 )
& ( b1 = s ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl18399,zip_derived_cl882]) ).
thf(zip_derived_cl2583_459,plain,
( ( b3b1 = s2 )
<= ( b3b1 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl2544]) ).
thf(zip_derived_cl25_460,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl2586,plain,
( ( incident @ b2 @ b3b1 )
<= ( b3b1 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl25]) ).
thf(zip_derived_cl1054_461,plain,
! [X0: $i] :
( ~ ( incident @ b2 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b1b2 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1045,zip_derived_cl93]) ).
thf(zip_derived_cl15834,plain,
( ( ~ ( incident @ b1 @ b3b1 )
| ( b1b2 = b3b1 ) )
<= ( b3b1 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2586,zip_derived_cl1054]) ).
thf(zip_derived_cl17_462,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(zip_derived_cl15847,plain,
( ( b1b2 = b3b1 )
<= ( b3b1 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl15834,zip_derived_cl17]) ).
thf(zip_derived_cl2594_463,plain,
( ( b3b1 = b2b3 )
<= ( ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl1001]) ).
thf(zip_derived_cl135_464,plain,
line @ b2b3,
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl34]) ).
thf(zip_derived_cl15847_465,plain,
( ( b1b2 = b3b1 )
<= ( b3b1 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl15834,zip_derived_cl17]) ).
thf(zip_derived_cl2594_466,plain,
( ( b3b1 = b2b3 )
<= ( ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl1001]) ).
thf(zip_derived_cl135_467,plain,
line @ b2b3,
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl34]) ).
thf(zip_derived_cl15847_468,plain,
( ( b1b2 = b3b1 )
<= ( b3b1 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl15834,zip_derived_cl17]) ).
thf(zip_derived_cl2594_469,plain,
( ( b3b1 = b2b3 )
<= ( ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2583,zip_derived_cl1001]) ).
thf(zip_derived_cl18528,plain,
( ! [X0: $i] :
( ( ( sk__1 @ b2b3 @ b2b3 )
= p3 )
| ( p2 = a3 )
| ~ ( incident @ p2 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( incident @ a3 @ b1b2 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = p2 )
& ( b1 = s ) ) ),
inference(demod,[status(thm)],[zip_derived_cl18442,zip_derived_cl15847,zip_derived_cl2594,zip_derived_cl135,zip_derived_cl15847,zip_derived_cl2594,zip_derived_cl135,zip_derived_cl15847,zip_derived_cl2594]) ).
thf(zip_derived_cl18989,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl18528]) ).
thf(zip_derived_cl23_470,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl19004,plain,
( ( ( b2b3 = s3 )
| ~ ( incident @ p2 @ s3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl18989,zip_derived_cl23]) ).
thf('94',plain,
( ~ ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a3 @ X0 ) )
| ( b2b3 = s3 )
| ~ ( incident @ p2 @ s3 ) ),
inference(split,[status(esa)],[zip_derived_cl19004]) ).
thf(zip_derived_cl8293,plain,
( ( s = a1 )
<= ( s = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl702]) ).
thf(zip_derived_cl19_471,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl8339,plain,
( ( incident @ a1 @ s2 )
<= ( s = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8293,zip_derived_cl19]) ).
thf(zip_derived_cl819_472,plain,
( ~ ( incident @ a1 @ s2 )
<= ~ ( incident @ a1 @ s2 ) ),
inference(split,[status(esa)],[zip_derived_cl775]) ).
thf('95',plain,
( ( s != a1 )
| ( incident @ a1 @ s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8339,zip_derived_cl819]) ).
thf(zip_derived_cl306_473,plain,
( ( incident @ p2 @ b2b3 )
<= ( b2b3 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl303,zip_derived_cl31]) ).
thf(zip_derived_cl304_474,plain,
( ( incident @ a3 @ b2b3 )
<= ( b2b3 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl303,zip_derived_cl10]) ).
thf(zip_derived_cl49_475,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl388,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( b2b3 = X1 ) )
<= ( b2b3 = a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl49]) ).
thf(zip_derived_cl2695,plain,
( ! [X0: $i] :
( ( p2 = a3 )
| ~ ( incident @ p2 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl388]) ).
thf('96',plain,
( ( b2b3 != a3a1 )
| ( a3 = p2 )
| ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2695]) ).
thf(zip_derived_cl7197_476,plain,
( ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) )
<= ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl604]) ).
thf(zip_derived_cl25_477,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl7206,plain,
( ( ~ ( incident @ a1 @ s2 )
| ( a3a1 = s2 ) )
<= ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7197,zip_derived_cl25]) ).
thf('97',plain,
( ~ ( incident @ a1 @ s2 )
| ~ ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) )
| ( a3a1 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl7206]) ).
thf(zip_derived_cl16_478,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl206_479,plain,
! [X0: $i,X1: $i] :
( ( X0 = p2 )
| ~ ( incident @ X0 @ b3b1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p2 @ X1 )
| ( b3b1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl49]) ).
thf(zip_derived_cl548,plain,
! [X0: $i] :
( ( b3 = p2 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl206]) ).
thf(zip_derived_cl5485,plain,
( ( b3 = p2 )
<= ( b3 = p2 ) ),
inference(split,[status(esa)],[zip_derived_cl548]) ).
thf(zip_derived_cl26_480,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl5511,plain,
( ( incident @ p2 @ s3 )
<= ( b3 = p2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5485,zip_derived_cl26]) ).
thf(zip_derived_cl5484,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl548]) ).
thf(zip_derived_cl26_481,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl5492,plain,
( ( ( b3b1 = s3 )
| ~ ( incident @ p2 @ s3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5484,zip_derived_cl26]) ).
thf(zip_derived_cl7286,plain,
( ~ ( incident @ p2 @ s3 )
<= ~ ( incident @ p2 @ s3 ) ),
inference(split,[status(esa)],[zip_derived_cl5492]) ).
thf('98',plain,
( ( b3 != p2 )
| ( incident @ p2 @ s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5511,zip_derived_cl7286]) ).
thf(zip_derived_cl10_482,plain,
incident @ a3 @ a3a1,
inference(cnf,[status(esa)],[ia3a1]) ).
thf(zip_derived_cl207_483,plain,
! [X0: $i,X1: $i] :
( ( X0 = p2 )
| ~ ( incident @ X0 @ a3a1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p2 @ X1 )
| ( a3a1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl49]) ).
thf(zip_derived_cl566,plain,
! [X0: $i] :
( ( a3 = p2 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( a3a1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl207]) ).
thf(zip_derived_cl6148,plain,
( ( a3 = p2 )
<= ( a3 = p2 ) ),
inference(split,[status(esa)],[zip_derived_cl566]) ).
thf(zip_derived_cl9_484,plain,
incident @ a3 @ a2a3,
inference(cnf,[status(esa)],[ia3a2]) ).
thf(zip_derived_cl6175,plain,
( ( incident @ p2 @ a2a3 )
<= ( a3 = p2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6148,zip_derived_cl9]) ).
thf(zip_derived_cl306_485,plain,
( ( incident @ p2 @ b2b3 )
<= ( b2b3 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl303,zip_derived_cl31]) ).
thf(zip_derived_cl204_486,plain,
! [X0: $i,X1: $i] :
( ( X0 = p1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p1 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl49]) ).
thf(zip_derived_cl488,plain,
( ! [X0: $i] :
( ( p2 = p1 )
| ~ ( incident @ p2 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl204]) ).
thf(zip_derived_cl4231,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl488]) ).
thf(zip_derived_cl22707,plain,
( ( ~ ( incident @ p1 @ a2a3 )
| ( b2b3 = a2a3 ) )
<= ( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 ) )
& ( a3 = p2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6175,zip_derived_cl4231]) ).
thf(zip_derived_cl29_487,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf(zip_derived_cl22723,plain,
( ( b2b3 = a2a3 )
<= ( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 ) )
& ( a3 = p2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl22707,zip_derived_cl29]) ).
thf(zip_derived_cl97_488,plain,
a2a3 != b2b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl85,'54']) ).
thf('99',plain,
( ( a3 != p2 )
| ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22723,zip_derived_cl97]) ).
thf('100',plain,
( ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b2 @ X0 ) )
| ~ ( incident @ b2 @ a3a1 )
| ( b2 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl604]) ).
thf(zip_derived_cl788_489,plain,
( ( incident @ a1 @ b1b2 )
<= ( b2 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl769,zip_derived_cl13]) ).
thf(zip_derived_cl202_490,plain,
! [X0: $i,X1: $i] :
( ( X0 = p3 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p3 @ X1 )
| ( b1b2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl49]) ).
thf(zip_derived_cl857,plain,
( ! [X0: $i] :
( ( a1 = p3 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 ) )
<= ( b2 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl788,zip_derived_cl202]) ).
thf('101',plain,
( ( b2 != a1 )
| ( a1 = p3 )
| ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl857]) ).
thf(zip_derived_cl6_491,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl10432,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl857]) ).
thf(zip_derived_cl10457,plain,
( ( ~ ( incident @ p3 @ a1a2 )
| ( b1b2 = a1a2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl10432]) ).
thf(zip_derived_cl27_492,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl10467,plain,
( ( b1b2 = a1a2 )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl10457,zip_derived_cl27]) ).
thf(zip_derived_cl96_493,plain,
a1a2 != b1b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl83,'40']) ).
thf('102',plain,
~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a1 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl10467,zip_derived_cl96]) ).
thf(zip_derived_cl306_494,plain,
( ( incident @ p2 @ b2b3 )
<= ( b2b3 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl303,zip_derived_cl31]) ).
thf(zip_derived_cl228_495,plain,
! [X0: $i,X1: $i] :
( ( X0 = b3 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b3 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl49]) ).
thf(zip_derived_cl1425,plain,
( ! [X0: $i] :
( ( p2 = b3 )
| ~ ( incident @ p2 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl306,zip_derived_cl228]) ).
thf('103',plain,
( ( b2b3 != a3a1 )
| ( b3 = p2 )
| ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1425]) ).
thf(zip_derived_cl69777_496,plain,
~ ( incident @ b1 @ b2b3 ),
inference(simpl_trail,[status(thm)],[zip_derived_cl69775,'75']) ).
thf(zip_derived_cl16_497,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl26352,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1425]) ).
thf(zip_derived_cl26364,plain,
( ( ~ ( incident @ p2 @ b3b1 )
| ( b2b3 = b3b1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl26352]) ).
thf(zip_derived_cl32_498,plain,
incident @ p2 @ b3b1,
inference(cnf,[status(esa)],[ip2b]) ).
thf(zip_derived_cl26376,plain,
( ( b2b3 = b3b1 )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl26364,zip_derived_cl32]) ).
thf(zip_derived_cl17_499,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(zip_derived_cl26384,plain,
( ( incident @ b1 @ b2b3 )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl26376,zip_derived_cl17]) ).
thf('104',plain,
~ ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl69777,zip_derived_cl26384]) ).
thf('105',plain,
( ( b2b3 != a3a1 )
| ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 ) )
| ( p2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl488]) ).
thf(zip_derived_cl51_500,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X1 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl50_501,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl4232,plain,
( ( p2 = p1 )
<= ( p2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl488]) ).
thf(zip_derived_cl103_502,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl4255,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p1 @ X0 ) )
<= ( p2 = p1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4232,zip_derived_cl103]) ).
thf(zip_derived_cl4264,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p3 @ X0 ) )
<= ( p2 = p1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4255]) ).
thf(zip_derived_cl4282,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( point @ p1 )
| ~ ( incident @ p3 @ ( sk_ @ X0 @ p1 ) ) )
<= ( p2 = p1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl4264]) ).
thf(zip_derived_cl164_503,plain,
point @ p1,
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl33]) ).
thf(zip_derived_cl4289,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( incident @ p3 @ ( sk_ @ X0 @ p1 ) ) )
<= ( p2 = p1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4282,zip_derived_cl164]) ).
thf(zip_derived_cl9758,plain,
( ( ~ ( point @ p3 )
| ~ ( point @ p1 )
| ~ ( point @ p3 ) )
<= ( p2 = p1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl4289]) ).
thf(zip_derived_cl160_504,plain,
point @ p3,
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).
thf(zip_derived_cl164_505,plain,
point @ p1,
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl33]) ).
thf(zip_derived_cl160_506,plain,
point @ p3,
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).
thf('106',plain,
p2 != p1,
inference(demod,[status(thm)],[zip_derived_cl9758,zip_derived_cl160,zip_derived_cl164,zip_derived_cl160]) ).
thf(zip_derived_cl303_507,plain,
( ( b2b3 = a3a1 )
<= ( b2b3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(t_b_in_a,axiom,
( ( ( incident @ b1 @ a2a3 )
& ( incident @ b2 @ a3a1 )
& ( incident @ b3 @ a1a2 ) )
=> goal ) ).
thf(zip_derived_cl2,plain,
( goal
| ~ ( incident @ b3 @ a1a2 )
| ~ ( incident @ b2 @ a3a1 )
| ~ ( incident @ b1 @ a2a3 ) ),
inference(cnf,[status(esa)],[t_b_in_a]) ).
thf(zip_derived_cl62,plain,
( ~ ( incident @ b2 @ a3a1 )
<= ~ ( incident @ b2 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl307,plain,
( ~ ( incident @ b2 @ b2b3 )
<= ( ~ ( incident @ b2 @ a3a1 )
& ( b2b3 = a3a1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl303,zip_derived_cl62]) ).
thf(zip_derived_cl14_508,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf('107',plain,
( ( b2b3 != a3a1 )
| ( incident @ b2 @ a3a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl307,zip_derived_cl14]) ).
thf(zip_derived_cl3567_509,plain,
( ( a1 = p3 )
<= ( a1 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl11_510,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl3608,plain,
( ( incident @ p3 @ a3a1 )
<= ( a1 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3567,zip_derived_cl11]) ).
thf(zip_derived_cl173,plain,
( ~ ( incident @ p3 @ a3a1 )
<= ~ ( incident @ p3 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf('108',plain,
( ( a1 != p3 )
| ( incident @ p3 @ a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3608,zip_derived_cl173]) ).
thf('109',plain,
( ( b2b3 != s3 )
| ~ ( incident @ a1 @ b2b3 )
| ( s = a1 )
| ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl727]) ).
thf(zip_derived_cl304_511,plain,
( ( incident @ a3 @ b2b3 )
<= ( b2b3 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl303,zip_derived_cl10]) ).
thf(zip_derived_cl204_512,plain,
! [X0: $i,X1: $i] :
( ( X0 = p1 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p1 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl49]) ).
thf(zip_derived_cl491,plain,
( ! [X0: $i] :
( ( a3 = p1 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl304,zip_derived_cl204]) ).
thf('110',plain,
( ( b2b3 != a3a1 )
| ( a3 = p1 )
| ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl491]) ).
thf(zip_derived_cl9_513,plain,
incident @ a3 @ a2a3,
inference(cnf,[status(esa)],[ia3a2]) ).
thf(zip_derived_cl4368,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl491]) ).
thf(zip_derived_cl4383,plain,
( ( ~ ( incident @ p1 @ a2a3 )
| ( b2b3 = a2a3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl4368]) ).
thf(zip_derived_cl29_514,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf(zip_derived_cl4391,plain,
( ( b2b3 = a2a3 )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4383,zip_derived_cl29]) ).
thf(zip_derived_cl97_515,plain,
a2a3 != b2b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl85,'54']) ).
thf('111',plain,
~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a3 @ X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl4391,zip_derived_cl97]) ).
thf(zip_derived_cl4662_516,plain,
( ( a2 = p1 )
<= ( a2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl4369,plain,
( ( a3 = p1 )
<= ( a3 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl491]) ).
thf(zip_derived_cl91_517,plain,
a2 != a3,
inference(simpl_trail,[status(thm)],[zip_derived_cl73,'21']) ).
thf(zip_derived_cl4404,plain,
( ( a2 != p1 )
<= ( a3 = p1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4369,zip_derived_cl91]) ).
thf(zip_derived_cl4719,plain,
( ( p1 != p1 )
<= ( ( a3 = p1 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4662,zip_derived_cl4404]) ).
thf('112',plain,
( ( a3 != p1 )
| ( a2 != p1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4719]) ).
thf('113',plain,
( ~ ( incident @ p1 @ a3a1 )
| ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) )
| ( b2b3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl254]) ).
thf(zip_derived_cl5485_518,plain,
( ( b3 = p2 )
<= ( b3 = p2 ) ),
inference(split,[status(esa)],[zip_derived_cl548]) ).
thf(zip_derived_cl15_519,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl224_520,plain,
! [X0: $i,X1: $i] :
( ( X0 = b2 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b2 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl49]) ).
thf(zip_derived_cl1201,plain,
! [X0: $i] :
( ( b3 = b2 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl224]) ).
thf(zip_derived_cl94_521,plain,
b2 != b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl79,'71']) ).
thf(zip_derived_cl1215,plain,
! [X0: $i] :
( ~ ( incident @ b3 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1201,zip_derived_cl94]) ).
thf(zip_derived_cl21030,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b3 = p2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5485,zip_derived_cl1215]) ).
thf(zip_derived_cl25_522,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl72448,plain,
( ( ( b2b3 = s2 )
| ~ ( incident @ p2 @ s2 ) )
<= ( b3 = p2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21030,zip_derived_cl25]) ).
thf('114',plain,
( ( b3 != p2 )
| ~ ( incident @ p2 @ s2 )
| ( b2b3 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl72448]) ).
thf('115',plain,
( ~ ( incident @ a1 @ b2b3 )
| ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) )
| ( p1 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl10_523,plain,
incident @ a3 @ a3a1,
inference(cnf,[status(esa)],[ia3a1]) ).
thf(zip_derived_cl1179_524,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( a2a3 = X0 ) )
<= ( a1a2 = a2a3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1172,zip_derived_cl92]) ).
thf(zip_derived_cl1714,plain,
( ( ~ ( incident @ a1 @ a3a1 )
| ( a2a3 = a3a1 ) )
<= ( a1a2 = a2a3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl1179]) ).
thf(zip_derived_cl11_525,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl1724,plain,
( ( a2a3 = a3a1 )
<= ( a1a2 = a2a3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1714,zip_derived_cl11]) ).
thf(zip_derived_cl173_526,plain,
( ~ ( incident @ p3 @ a3a1 )
<= ~ ( incident @ p3 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl1742,plain,
( ~ ( incident @ p3 @ a2a3 )
<= ( ~ ( incident @ p3 @ a3a1 )
& ( a1a2 = a2a3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1724,zip_derived_cl173]) ).
thf(zip_derived_cl1131_527,plain,
( ( a1a2 = a2a3 )
<= ( a1a2 = a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl1107]) ).
thf(zip_derived_cl27_528,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl1136,plain,
( ( incident @ p3 @ a2a3 )
<= ( a1a2 = a2a3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1131,zip_derived_cl27]) ).
thf('116',plain,
( ( a1a2 != a2a3 )
| ( incident @ p3 @ a3a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1742,zip_derived_cl1136]) ).
thf(zip_derived_cl1724_529,plain,
( ( a2a3 = a3a1 )
<= ( a1a2 = a2a3 ) ),
inference(demod,[status(thm)],[zip_derived_cl1714,zip_derived_cl11]) ).
thf(zip_derived_cl172_530,plain,
( ~ ( incident @ p1 @ a3a1 )
<= ~ ( incident @ p1 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl1741,plain,
( ~ ( incident @ p1 @ a2a3 )
<= ( ~ ( incident @ p1 @ a3a1 )
& ( a1a2 = a2a3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1724,zip_derived_cl172]) ).
thf(zip_derived_cl29_531,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf('117',plain,
( ( a1a2 != a2a3 )
| ( incident @ p1 @ a3a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl1741,zip_derived_cl29]) ).
thf('118',plain,
( ~ ( incident @ p1 @ a3a1 )
| ~ ( incident @ p3 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf(zip_derived_cl4661_532,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl7_533,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl4670,plain,
( ( ( a2a3 = a1a2 )
| ~ ( incident @ p1 @ a1a2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4661,zip_derived_cl7]) ).
thf('119',plain,
( ( a1a2 = a2a3 )
| ~ ( incident @ p1 @ a1a2 )
| ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl4670]) ).
thf(zip_derived_cl250_534,plain,
( ( p1 = a1 )
<= ( p1 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl241]) ).
thf(zip_derived_cl4662_535,plain,
( ( a2 = p1 )
<= ( a2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl90_536,plain,
a1 != a2,
inference(simpl_trail,[status(thm)],[zip_derived_cl71,'5']) ).
thf(zip_derived_cl4701,plain,
( ( a1 != p1 )
<= ( a2 = p1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4662,zip_derived_cl90]) ).
thf(zip_derived_cl4723,plain,
( ( p1 != p1 )
<= ( ( p1 = a1 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl250,zip_derived_cl4701]) ).
thf('120',plain,
( ( p1 != a1 )
| ( a2 != p1 ) ),
inference(simplify,[status(thm)],[zip_derived_cl4723]) ).
thf(zip_derived_cl269_537,plain,
( ( incident @ p1 @ a1a2 )
<= ( p1 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl250,zip_derived_cl6]) ).
thf(zip_derived_cl315_538,plain,
( ~ ( incident @ p1 @ a1a2 )
<= ~ ( incident @ p1 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl255]) ).
thf('121',plain,
( ( p1 != a1 )
| ( incident @ p1 @ a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl269,zip_derived_cl315]) ).
thf('122',plain,
( ( a2 = p1 )
| ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl13360,plain,
( ! [X0: $i] :
( ( s3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( s3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl958]) ).
thf(zip_derived_cl18_539,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl13374,plain,
( ( ~ ( incident @ a3 @ s1 )
| ( s3 = s1 ) )
<= ! [X0: $i] :
( ( s3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl13360,zip_derived_cl18]) ).
thf('123',plain,
( ~ ( incident @ a3 @ s1 )
| ~ ! [X0: $i] :
( ( s3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( s1 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl13374]) ).
thf('124',plain,
( ( incident @ b3 @ a1a2 )
| ( incident @ a1 @ b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf('125',plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) )
| ~ ( incident @ b3 @ a1a2 )
| ( b3 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl459]) ).
thf('126',plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ),
inference('sat_resolution*',[status(thm)],['18','19','22','23','24','25','26','27','28','31','32','33','34','35','36','37','38','41','42','43','46','47','48','49','50','3','51','52','55','56','57','58','59','60','61','62','63','64','65','66','67','68','69','72','73','76','77','78','79','80','81','82','83','84','85','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','122','123','124','125']) ).
thf(zip_derived_cl99526,plain,
( a1a2
= ( sk_ @ p3 @ b3 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl88057,'126']) ).
thf(zip_derived_cl50_540,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl4490_541,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl4499,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( point @ b3 )
| ~ ( incident @ p1 @ ( sk_ @ X0 @ b3 ) )
| ( b2b3
= ( sk_ @ X0 @ b3 ) ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl4490]) ).
thf(zip_derived_cl136_542,plain,
point @ b3,
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl33]) ).
thf(zip_derived_cl4508,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( incident @ p1 @ ( sk_ @ X0 @ b3 ) )
| ( b2b3
= ( sk_ @ X0 @ b3 ) ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl4499,zip_derived_cl136]) ).
thf(zip_derived_cl99550,plain,
( ( ~ ( point @ p3 )
| ~ ( incident @ p1 @ a1a2 )
| ( b2b3 = a1a2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl99526,zip_derived_cl4508]) ).
thf(zip_derived_cl160_543,plain,
point @ p3,
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).
thf(zip_derived_cl99581,plain,
( ( ~ ( incident @ p1 @ a1a2 )
| ( b2b3 = a1a2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl99550,zip_derived_cl160]) ).
thf('127',plain,
( ( b2b3 = a1a2 )
| ~ ( incident @ p1 @ a1a2 )
| ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl99581]) ).
thf(zip_derived_cl10173,plain,
( ( s2 = s3 )
<= ( s2 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl10081]) ).
thf(zip_derived_cl10173_544,plain,
( ( s2 = s3 )
<= ( s2 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl10081]) ).
thf(zip_derived_cl23_545,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl10175,plain,
( ( incident @ a3 @ s2 )
<= ( s2 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10173,zip_derived_cl23]) ).
thf(zip_derived_cl765_546,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a2a3 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl757,zip_derived_cl91]) ).
thf(zip_derived_cl32282,plain,
( ( ~ ( incident @ a2 @ s2 )
| ( a2a3 = s2 ) )
<= ( s2 = s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10175,zip_derived_cl765]) ).
thf(zip_derived_cl22_547,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl32314,plain,
( ( a2a3 = s2 )
<= ( s2 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl32282,zip_derived_cl22]) ).
thf(zip_derived_cl32317,plain,
( ( a2a3 = s3 )
<= ( s2 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl10173,zip_derived_cl32314]) ).
thf(zip_derived_cl26_548,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl32454,plain,
( ( incident @ b3 @ a2a3 )
<= ( s2 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32317,zip_derived_cl26]) ).
thf(zip_derived_cl1215_549,plain,
! [X0: $i] :
( ~ ( incident @ b3 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1201,zip_derived_cl94]) ).
thf(zip_derived_cl48853,plain,
( ( ~ ( incident @ b2 @ a2a3 )
| ( b2b3 = a2a3 ) )
<= ( s2 = s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32454,zip_derived_cl1215]) ).
thf(zip_derived_cl32314_550,plain,
( ( a2a3 = s2 )
<= ( s2 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl32282,zip_derived_cl22]) ).
thf(zip_derived_cl25_551,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl32321,plain,
( ( incident @ b2 @ a2a3 )
<= ( s2 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl32314,zip_derived_cl25]) ).
thf(zip_derived_cl48886,plain,
( ( b2b3 = a2a3 )
<= ( s2 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl48853,zip_derived_cl32321]) ).
thf(zip_derived_cl97_552,plain,
a2a3 != b2b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl85,'54']) ).
thf('128',plain,
s2 != s3,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl48886,zip_derived_cl97]) ).
thf(zip_derived_cl20_553,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl231_554,plain,
! [X0: $i,X1: $i] :
( ( X0 = b3 )
| ~ ( incident @ X0 @ s3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b3 @ X1 )
| ( s3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl49]) ).
thf(zip_derived_cl1631,plain,
! [X0: $i] :
( ( s = b3 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( s3 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl20,zip_derived_cl231]) ).
thf('129',plain,
( ( s = b3 )
| ! [X0: $i] :
( ( s3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1631]) ).
thf(zip_derived_cl16_555,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl212_556,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ b3b1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( b3b1 = X1 ) )
<= ( incident @ a2 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl49]) ).
thf(zip_derived_cl731,plain,
( ! [X0: $i] :
( ( b3 = a2 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( b3b1 = X0 ) )
<= ( incident @ a2 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl212]) ).
thf(zip_derived_cl8884,plain,
( ( b3 = a2 )
<= ( b3 = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl731]) ).
thf(zip_derived_cl27011_557,plain,
( ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1441]) ).
thf(zip_derived_cl19_558,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl27036,plain,
( ( ~ ( incident @ b3 @ s2 )
| ( b2b3 = s2 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27011,zip_derived_cl19]) ).
thf(zip_derived_cl27326,plain,
( ~ ( incident @ b3 @ s2 )
<= ~ ( incident @ b3 @ s2 ) ),
inference(split,[status(esa)],[zip_derived_cl27036]) ).
thf(zip_derived_cl27345,plain,
( ~ ( incident @ a2 @ s2 )
<= ( ~ ( incident @ b3 @ s2 )
& ( b3 = a2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8884,zip_derived_cl27326]) ).
thf(zip_derived_cl22_559,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf('130',plain,
( ( incident @ b3 @ s2 )
| ( b3 != a2 ) ),
inference(demod,[status(thm)],[zip_derived_cl27345,zip_derived_cl22]) ).
thf(zip_derived_cl27012_560,plain,
( ( s = b3 )
<= ( s = b3 ) ),
inference(split,[status(esa)],[zip_derived_cl1441]) ).
thf(zip_derived_cl20718_561,plain,
( ( s = b2 )
<= ( s = b2 ) ),
inference(split,[status(esa)],[zip_derived_cl1203]) ).
thf(zip_derived_cl27169,plain,
( ( b3 = b2 )
<= ( ( s = b2 )
& ( s = b3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl27012,zip_derived_cl20718]) ).
thf(zip_derived_cl94_562,plain,
b2 != b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl79,'71']) ).
thf('131',plain,
( ( s != b2 )
| ( s != b3 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl27169,zip_derived_cl94]) ).
thf(zip_derived_cl24728_563,plain,
( ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1391]) ).
thf(zip_derived_cl18_564,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl24751,plain,
( ( ~ ( incident @ b2 @ s1 )
| ( s2 = s1 ) )
<= ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl24728,zip_derived_cl18]) ).
thf('132',plain,
( ~ ( incident @ b2 @ s1 )
| ~ ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( s1 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl24751]) ).
thf(zip_derived_cl12_565,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl202_566,plain,
! [X0: $i,X1: $i] :
( ( X0 = p3 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p3 @ X1 )
| ( b1b2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl49]) ).
thf(zip_derived_cl431,plain,
! [X0: $i] :
( ( b1 = p3 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl202]) ).
thf(zip_derived_cl3157,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl431]) ).
thf(zip_derived_cl24_567,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl3165,plain,
( ( ( b1b2 = s1 )
| ~ ( incident @ p3 @ s1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3157,zip_derived_cl24]) ).
thf(zip_derived_cl3948,plain,
( ( b1b2 = s1 )
<= ( b1b2 = s1 ) ),
inference(split,[status(esa)],[zip_derived_cl3165]) ).
thf(zip_derived_cl20717,plain,
( ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1203]) ).
thf(zip_derived_cl18_568,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl20737,plain,
( ( ~ ( incident @ b2 @ s1 )
| ( b2b3 = s1 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl20717,zip_derived_cl18]) ).
thf(zip_derived_cl20905,plain,
( ~ ( incident @ b2 @ s1 )
<= ~ ( incident @ b2 @ s1 ) ),
inference(split,[status(esa)],[zip_derived_cl20737]) ).
thf(zip_derived_cl20909,plain,
( ~ ( incident @ b2 @ b1b2 )
<= ( ~ ( incident @ b2 @ s1 )
& ( b1b2 = s1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3948,zip_derived_cl20905]) ).
thf(zip_derived_cl13_569,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf('133',plain,
( ( b1b2 != s1 )
| ( incident @ b2 @ s1 ) ),
inference(demod,[status(thm)],[zip_derived_cl20909,zip_derived_cl13]) ).
thf(zip_derived_cl5447_570,plain,
( ( incident @ p2 @ b1b2 )
<= ( b1 = p2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5422,zip_derived_cl12]) ).
thf(zip_derived_cl202_571,plain,
! [X0: $i,X1: $i] :
( ( X0 = p3 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p3 @ X1 )
| ( b1b2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl28,zip_derived_cl49]) ).
thf(zip_derived_cl22086,plain,
( ! [X0: $i] :
( ( p2 = p3 )
| ~ ( incident @ p2 @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 ) )
<= ( b1 = p2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5447,zip_derived_cl202]) ).
thf(zip_derived_cl18399_572,plain,
( ! [X0: $i] :
( ( ( sk__1 @ X0 @ b2b3 )
= p2 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 )
| ~ ( line @ X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = p2 )
& ( b1 = s ) ) ),
inference(clc,[status(thm)],[zip_derived_cl18057,zip_derived_cl5692]) ).
thf(zip_derived_cl18475,plain,
( ! [X0: $i] :
( ( p2 != p3 )
| ~ ( line @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b2b3 = s2 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( b1 = p2 )
& ( b1 = s ) ) ),
inference(eq_fact,[status(thm)],[zip_derived_cl18399]) ).
thf(zip_derived_cl19578,plain,
( ( p2 != p3 )
<= ( p2 != p3 ) ),
inference(split,[status(esa)],[zip_derived_cl18475]) ).
thf(zip_derived_cl50_573,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl31_574,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf(zip_derived_cl6203_575,plain,
( ! [X0: $i,X1: $i] :
( ( X1
= ( sk__1 @ X0 @ b2b3 ) )
| ~ ( incident @ X1 @ X0 )
| ~ ( incident @ X1 @ b2b3 )
| ( X0 = b2b3 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl5742,zip_derived_cl34]) ).
thf(zip_derived_cl6217,plain,
( ( ( p2
= ( sk__1 @ a3a1 @ b2b3 ) )
| ~ ( incident @ p2 @ b2b3 )
| ( a3a1 = b2b3 )
| ( ( sk__1 @ a3a1 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl6203]) ).
thf(zip_derived_cl7296,plain,
( ( p2
= ( sk__1 @ a3a1 @ b2b3 ) )
<= ( p2
= ( sk__1 @ a3a1 @ b2b3 ) ) ),
inference(split,[status(esa)],[zip_derived_cl6217]) ).
thf(zip_derived_cl4923_576,plain,
( ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ p3 @ X0 )
| ( ( sk__1 @ X0 @ b2b3 )
= p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 ) ) ),
inference(clc,[status(thm)],[zip_derived_cl4916,zip_derived_cl34]) ).
thf(zip_derived_cl7306,plain,
( ( ( b2b3 = a3a1 )
| ~ ( incident @ p3 @ a3a1 )
| ( p2 = p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p1 )
& ( p2
= ( sk__1 @ a3a1 @ b2b3 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7296,zip_derived_cl4923]) ).
thf(zip_derived_cl7336,plain,
( ( p2 = p3 )
<= ( p2 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl7306]) ).
thf(zip_derived_cl198_577,plain,
~ ( incident @ p3 @ ( sk_ @ p1 @ p2 ) ),
inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl164,zip_derived_cl168,zip_derived_cl164]) ).
thf(zip_derived_cl7343,plain,
( ~ ( incident @ p3 @ ( sk_ @ p1 @ p3 ) )
<= ( p2 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7336,zip_derived_cl198]) ).
thf(zip_derived_cl7693,plain,
( ( ~ ( point @ p1 )
| ~ ( point @ p3 ) )
<= ( p2 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl7343]) ).
thf(zip_derived_cl164_578,plain,
point @ p1,
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl33]) ).
thf(zip_derived_cl160_579,plain,
point @ p3,
inference('s_sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl33]) ).
thf('134',plain,
p2 != p3,
inference(demod,[status(thm)],[zip_derived_cl7693,zip_derived_cl164,zip_derived_cl160]) ).
thf('135',plain,
p2 != p3,
inference('sat_resolution*',[status(thm)],['134']) ).
thf(zip_derived_cl19579,plain,
p2 != p3,
inference(simpl_trail,[status(thm)],[zip_derived_cl19578,'135']) ).
thf(zip_derived_cl22106,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 ) )
<= ( b1 = p2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22086,zip_derived_cl19579]) ).
thf(zip_derived_cl32_580,plain,
incident @ p2 @ b3b1,
inference(cnf,[status(esa)],[ip2b]) ).
thf(zip_derived_cl73401,plain,
( ( ( b1b2 = b3b1 )
| ~ ( incident @ p3 @ b3b1 ) )
<= ( b1 = p2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22106,zip_derived_cl32]) ).
thf('136',plain,
( ( b1b2 = b3b1 )
| ~ ( incident @ p3 @ b3b1 )
| ( b1 != p2 ) ),
inference(split,[status(esa)],[zip_derived_cl73401]) ).
thf(zip_derived_cl22106_581,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 ) )
<= ( b1 = p2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22086,zip_derived_cl19579]) ).
thf(zip_derived_cl5422_582,plain,
( ( b1 = p2 )
<= ( b1 = p2 ) ),
inference(split,[status(esa)],[zip_derived_cl547]) ).
thf(zip_derived_cl24_583,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl5449,plain,
( ( incident @ p2 @ s1 )
<= ( b1 = p2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5422,zip_derived_cl24]) ).
thf(zip_derived_cl73411,plain,
( ( ( b1b2 = s1 )
| ~ ( incident @ p3 @ s1 ) )
<= ( b1 = p2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22106,zip_derived_cl5449]) ).
thf('137',plain,
( ( b1 != p2 )
| ~ ( incident @ p3 @ s1 )
| ( b1b2 = s1 ) ),
inference(split,[status(esa)],[zip_derived_cl73411]) ).
thf(zip_derived_cl3567_584,plain,
( ( a1 = p3 )
<= ( a1 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl21_585,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl3609,plain,
( ( incident @ p3 @ s1 )
<= ( a1 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3567,zip_derived_cl21]) ).
thf(zip_derived_cl3947,plain,
( ~ ( incident @ p3 @ s1 )
<= ~ ( incident @ p3 @ s1 ) ),
inference(split,[status(esa)],[zip_derived_cl3165]) ).
thf('138',plain,
( ( a1 != p3 )
| ( incident @ p3 @ s1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3609,zip_derived_cl3947]) ).
thf(zip_derived_cl5421_586,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl547]) ).
thf(zip_derived_cl12_587,plain,
incident @ b1 @ b1b2,
inference(cnf,[status(esa)],[ib1b2]) ).
thf(zip_derived_cl5427,plain,
( ( ( b3b1 = b1b2 )
| ~ ( incident @ p2 @ b1b2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5421,zip_derived_cl12]) ).
thf('139',plain,
( ( b1b2 = b3b1 )
| ~ ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b1 @ X0 ) )
| ~ ( incident @ p2 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl5427]) ).
thf(zip_derived_cl3065_588,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl430]) ).
thf(zip_derived_cl10_589,plain,
incident @ a3 @ a3a1,
inference(cnf,[status(esa)],[ia3a1]) ).
thf(zip_derived_cl3073,plain,
( ( ( b1b2 = a3a1 )
| ~ ( incident @ p3 @ a3a1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3065,zip_derived_cl10]) ).
thf(zip_derived_cl3423,plain,
( ( b1b2 = a3a1 )
<= ( b1b2 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl3073]) ).
thf(zip_derived_cl31_590,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf(zip_derived_cl3426,plain,
( ( incident @ p2 @ b1b2 )
<= ( b1b2 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3423,zip_derived_cl31]) ).
thf(zip_derived_cl7068,plain,
( ~ ( incident @ p2 @ b1b2 )
<= ~ ( incident @ p2 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl5427]) ).
thf('140',plain,
( ( b1b2 != a3a1 )
| ( incident @ p2 @ b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3426,zip_derived_cl7068]) ).
thf(zip_derived_cl3566,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl3423_591,plain,
( ( b1b2 = a3a1 )
<= ( b1b2 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl3073]) ).
thf(zip_derived_cl11_592,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl3425,plain,
( ( incident @ a1 @ b1b2 )
<= ( b1b2 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3423,zip_derived_cl11]) ).
thf(zip_derived_cl12339,plain,
( ( ( a1a2 = b1b2 )
| ~ ( incident @ p3 @ b1b2 ) )
<= ( ( b1b2 = a3a1 )
& ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3566,zip_derived_cl3425]) ).
thf(zip_derived_cl28_593,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf(zip_derived_cl12347,plain,
( ( a1a2 = b1b2 )
<= ( ( b1b2 = a3a1 )
& ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ) ),
inference(demod,[status(thm)],[zip_derived_cl12339,zip_derived_cl28]) ).
thf(zip_derived_cl96_594,plain,
a1a2 != b1b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl83,'40']) ).
thf('141',plain,
( ( b1b2 != a3a1 )
| ~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl12347,zip_derived_cl96]) ).
thf(zip_derived_cl29910,plain,
( ! [X0: $i] :
( ( s3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( s3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1631]) ).
thf(zip_derived_cl19_595,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl29941,plain,
( ( ~ ( incident @ b3 @ s2 )
| ( s3 = s2 ) )
<= ! [X0: $i] :
( ( s3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl29910,zip_derived_cl19]) ).
thf('142',plain,
( ~ ! [X0: $i] :
( ( s3 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ~ ( incident @ b3 @ s2 )
| ( s2 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl29941]) ).
thf(zip_derived_cl19_596,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl1615_597,plain,
( ( incident @ s @ a2a3 )
<= ( a2a3 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1614,zip_derived_cl19]) ).
thf(zip_derived_cl213_598,plain,
! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ a2a3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( a2a3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl49]) ).
thf(zip_derived_cl1647,plain,
( ! [X0: $i] :
( ( s = a2 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a2a3 = X0 ) )
<= ( a2a3 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1615,zip_derived_cl213]) ).
thf(zip_derived_cl30560,plain,
( ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1647]) ).
thf(zip_derived_cl30622,plain,
( ( ( a2a3 = s2 )
| ~ ( incident @ a2 @ s2 ) )
<= ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl30560]) ).
thf(zip_derived_cl22_599,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl30657,plain,
( ( a2a3 = s2 )
<= ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30622,zip_derived_cl22]) ).
thf(zip_derived_cl13_600,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf(zip_derived_cl216_601,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( b1b2 = X1 ) )
<= ( incident @ a3 @ b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70,zip_derived_cl49]) ).
thf(zip_derived_cl872,plain,
( ! [X0: $i] :
( ( b2 = a3 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( b1b2 = X0 ) )
<= ( incident @ a3 @ b1b2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl216]) ).
thf(zip_derived_cl10720,plain,
( ! [X0: $i] :
( ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) )
<= ! [X0: $i] :
( ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl872]) ).
thf(zip_derived_cl25_602,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl10729,plain,
( ( ~ ( incident @ a3 @ s2 )
| ( b1b2 = s2 ) )
<= ! [X0: $i] :
( ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10720,zip_derived_cl25]) ).
thf(zip_derived_cl10933,plain,
( ~ ( incident @ a3 @ s2 )
<= ~ ( incident @ a3 @ s2 ) ),
inference(split,[status(esa)],[zip_derived_cl10729]) ).
thf(zip_derived_cl30718,plain,
( ~ ( incident @ a3 @ a2a3 )
<= ( ~ ( incident @ a3 @ s2 )
& ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl30657,zip_derived_cl10933]) ).
thf(zip_derived_cl9_603,plain,
incident @ a3 @ a2a3,
inference(cnf,[status(esa)],[ia3a2]) ).
thf('143',plain,
( ~ ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( incident @ a3 @ s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl30718,zip_derived_cl9]) ).
thf(zip_derived_cl17_604,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(zip_derived_cl212_605,plain,
( ! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ b3b1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( b3b1 = X1 ) )
<= ( incident @ a2 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl68,zip_derived_cl49]) ).
thf(zip_derived_cl730,plain,
( ! [X0: $i] :
( ( b1 = a2 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( b3b1 = X0 ) )
<= ( incident @ a2 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl212]) ).
thf(zip_derived_cl8795,plain,
( ( b1 = a2 )
<= ( b1 = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl61,plain,
( ~ ( incident @ b1 @ a2a3 )
<= ~ ( incident @ b1 @ a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl8827,plain,
( ~ ( incident @ a2 @ a2a3 )
<= ( ~ ( incident @ b1 @ a2a3 )
& ( b1 = a2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8795,zip_derived_cl61]) ).
thf(zip_derived_cl8_606,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf('144',plain,
( ( b1 != a2 )
| ( incident @ b1 @ a2a3 ) ),
inference(demod,[status(thm)],[zip_derived_cl8827,zip_derived_cl8]) ).
thf(zip_derived_cl69_607,plain,
( ( incident @ b2 @ a3a1 )
<= ( incident @ b2 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl10_608,plain,
incident @ a3 @ a3a1,
inference(cnf,[status(esa)],[ia3a1]) ).
thf(zip_derived_cl49_609,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl218,plain,
! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ a3a1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( a3a1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl49]) ).
thf(zip_derived_cl934,plain,
( ! [X0: $i] :
( ( b2 = a3 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( a3a1 = X0 ) )
<= ( incident @ b2 @ a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl69,zip_derived_cl218]) ).
thf(zip_derived_cl11927,plain,
( ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) )
<= ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl934]) ).
thf(zip_derived_cl25_610,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl11936,plain,
( ( ~ ( incident @ a3 @ s2 )
| ( a3a1 = s2 ) )
<= ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl11927,zip_derived_cl25]) ).
thf('145',plain,
( ~ ( incident @ a3 @ s2 )
| ~ ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) )
| ( a3a1 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl11936]) ).
thf(zip_derived_cl9_611,plain,
incident @ a3 @ a2a3,
inference(cnf,[status(esa)],[ia3a2]) ).
thf(zip_derived_cl7973_612,plain,
( ( a3a1 = s2 )
<= ( a3a1 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl6363]) ).
thf(zip_derived_cl22_613,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl7975,plain,
( ( incident @ a2 @ a3a1 )
<= ( a3a1 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7973,zip_derived_cl22]) ).
thf(zip_derived_cl218_614,plain,
! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ a3a1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( a3a1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl49]) ).
thf(zip_derived_cl28919,plain,
( ! [X0: $i] :
( ( a2 = a3 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( a3a1 = X0 ) )
<= ( a3a1 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7975,zip_derived_cl218]) ).
thf(zip_derived_cl91_615,plain,
a2 != a3,
inference(simpl_trail,[status(thm)],[zip_derived_cl73,'21']) ).
thf(zip_derived_cl28941,plain,
( ! [X0: $i] :
( ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( a3a1 = X0 ) )
<= ( a3a1 = s2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl28919,zip_derived_cl91]) ).
thf(zip_derived_cl75246,plain,
( ( ~ ( incident @ a2 @ a2a3 )
| ( a3a1 = a2a3 ) )
<= ( a3a1 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl28941]) ).
thf(zip_derived_cl8_616,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf(zip_derived_cl75271,plain,
( ( a3a1 = a2a3 )
<= ( a3a1 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl75246,zip_derived_cl8]) ).
thf(zip_derived_cl31_617,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf(zip_derived_cl75304,plain,
( ( incident @ p2 @ a2a3 )
<= ( a3a1 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl75271,zip_derived_cl31]) ).
thf(zip_derived_cl103_618,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl76047,plain,
( ( ~ ( incident @ p3 @ a2a3 )
| ~ ( incident @ p1 @ a2a3 ) )
<= ( a3a1 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl75304,zip_derived_cl103]) ).
thf(zip_derived_cl7975_619,plain,
( ( incident @ a2 @ a3a1 )
<= ( a3a1 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl7973,zip_derived_cl22]) ).
thf(zip_derived_cl675_620,plain,
! [X0: $i] :
( ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a1a2 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl664,zip_derived_cl90]) ).
thf(zip_derived_cl28922,plain,
( ( ~ ( incident @ a1 @ a3a1 )
| ( a1a2 = a3a1 ) )
<= ( a3a1 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7975,zip_derived_cl675]) ).
thf(zip_derived_cl11_621,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl28943,plain,
( ( a1a2 = a3a1 )
<= ( a3a1 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl28922,zip_derived_cl11]) ).
thf(zip_derived_cl27_622,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl28949,plain,
( ( incident @ p3 @ a3a1 )
<= ( a3a1 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl28943,zip_derived_cl27]) ).
thf(zip_derived_cl75271_623,plain,
( ( a3a1 = a2a3 )
<= ( a3a1 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl75246,zip_derived_cl8]) ).
thf(zip_derived_cl75299,plain,
( ( incident @ p3 @ a2a3 )
<= ( a3a1 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl28949,zip_derived_cl75271]) ).
thf(zip_derived_cl29_624,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf('146',plain,
a3a1 != s2,
inference(demod,[status(thm)],[zip_derived_cl76047,zip_derived_cl75299,zip_derived_cl29]) ).
thf('147',plain,
( ~ ( incident @ b2 @ a3a1 )
| ! [X0: $i] :
( ( a3a1 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) )
| ( b2 = a3 ) ),
inference(split,[status(esa)],[zip_derived_cl934]) ).
thf(zip_derived_cl10721,plain,
( ( b2 = a3 )
<= ( b2 = a3 ) ),
inference(split,[status(esa)],[zip_derived_cl872]) ).
thf(zip_derived_cl62_625,plain,
( ~ ( incident @ b2 @ a3a1 )
<= ~ ( incident @ b2 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl10754,plain,
( ~ ( incident @ a3 @ a3a1 )
<= ( ~ ( incident @ b2 @ a3a1 )
& ( b2 = a3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10721,zip_derived_cl62]) ).
thf(zip_derived_cl10_626,plain,
incident @ a3 @ a3a1,
inference(cnf,[status(esa)],[ia3a1]) ).
thf('148',plain,
( ( b2 != a3 )
| ( incident @ b2 @ a3a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl10754,zip_derived_cl10]) ).
thf('149',plain,
( ~ ( incident @ b2 @ a3a1 )
| ~ ( incident @ b1 @ a2a3 )
| goal
| ~ ( incident @ b3 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl4991_627,plain,
( ( a1a2 = b3b1 )
<= ( a1a2 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl3788]) ).
thf(zip_derived_cl27_628,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl4994,plain,
( ( incident @ p3 @ b3b1 )
<= ( a1a2 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4991,zip_derived_cl27]) ).
thf(zip_derived_cl32_629,plain,
incident @ p2 @ b3b1,
inference(cnf,[status(esa)],[ip2b]) ).
thf(zip_derived_cl103_630,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl176,plain,
( ~ ( incident @ p3 @ b3b1 )
| ~ ( incident @ p1 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl103]) ).
thf(zip_derived_cl181,plain,
( ~ ( incident @ p3 @ b3b1 )
<= ~ ( incident @ p3 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl176]) ).
thf('150',plain,
( ( a1a2 != b3b1 )
| ( incident @ p3 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4994,zip_derived_cl181]) ).
thf(zip_derived_cl15_631,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl1352_632,plain,
( ( incident @ b2 @ b3b1 )
<= ( b1b2 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1349,zip_derived_cl13]) ).
thf(zip_derived_cl16_633,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl49_634,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl229,plain,
! [X0: $i,X1: $i] :
( ( X0 = b3 )
| ~ ( incident @ X0 @ b3b1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b3 @ X1 )
| ( b3b1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl49]) ).
thf(zip_derived_cl1472,plain,
( ! [X0: $i] :
( ( b2 = b3 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b3b1 = X0 ) )
<= ( b1b2 = b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1352,zip_derived_cl229]) ).
thf(zip_derived_cl94_635,plain,
b2 != b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl79,'71']) ).
thf(zip_derived_cl1481,plain,
( ! [X0: $i] :
( ~ ( incident @ b2 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( b3b1 = X0 ) )
<= ( b1b2 = b3b1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1472,zip_derived_cl94]) ).
thf(zip_derived_cl2735,plain,
( ( ~ ( incident @ b2 @ b2b3 )
| ( b3b1 = b2b3 ) )
<= ( b1b2 = b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl1481]) ).
thf(zip_derived_cl14_636,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl2743,plain,
( ( b3b1 = b2b3 )
<= ( b1b2 = b3b1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2735,zip_derived_cl14]) ).
thf(zip_derived_cl180,plain,
( ~ ( incident @ p1 @ b3b1 )
<= ~ ( incident @ p1 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl176]) ).
thf(zip_derived_cl2760,plain,
( ~ ( incident @ p1 @ b2b3 )
<= ( ~ ( incident @ p1 @ b3b1 )
& ( b1b2 = b3b1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2743,zip_derived_cl180]) ).
thf(zip_derived_cl30_637,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf('151',plain,
( ( b1b2 != b3b1 )
| ( incident @ p1 @ b3b1 ) ),
inference(demod,[status(thm)],[zip_derived_cl2760,zip_derived_cl30]) ).
thf(zip_derived_cl1349_638,plain,
( ( b1b2 = b3b1 )
<= ( b1b2 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl1275]) ).
thf(zip_derived_cl28_639,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf(zip_derived_cl1353,plain,
( ( incident @ p3 @ b3b1 )
<= ( b1b2 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1349,zip_derived_cl28]) ).
thf(zip_derived_cl181_640,plain,
( ~ ( incident @ p3 @ b3b1 )
<= ~ ( incident @ p3 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl176]) ).
thf('152',plain,
( ( b1b2 != b3b1 )
| ( incident @ p3 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1353,zip_derived_cl181]) ).
thf('153',plain,
( ~ ( incident @ p1 @ b3b1 )
| ~ ( incident @ p3 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl176]) ).
thf(zip_derived_cl3157_641,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl431]) ).
thf(zip_derived_cl17_642,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(zip_derived_cl3162,plain,
( ( ( b1b2 = b3b1 )
| ~ ( incident @ p3 @ b3b1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3157,zip_derived_cl17]) ).
thf('154',plain,
( ( b1b2 = b3b1 )
| ~ ( incident @ p3 @ b3b1 )
| ~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3162]) ).
thf(zip_derived_cl10720_643,plain,
( ! [X0: $i] :
( ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) )
<= ! [X0: $i] :
( ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl872]) ).
thf(zip_derived_cl14_644,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl10724,plain,
( ( ~ ( incident @ a3 @ b2b3 )
| ( b1b2 = b2b3 ) )
<= ! [X0: $i] :
( ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10720,zip_derived_cl14]) ).
thf('155',plain,
( ( b2b3 = b1b2 )
| ~ ( incident @ a3 @ b2b3 )
| ~ ! [X0: $i] :
( ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl10724]) ).
thf(zip_derived_cl4369_645,plain,
( ( a3 = p1 )
<= ( a3 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl491]) ).
thf(zip_derived_cl3754_646,plain,
( ! [X0: $i] :
( ~ ( incident @ X0 @ b1b2 )
| ~ ( incident @ X0 @ b2b3 )
| ( X0 = p3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p3 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl3746,zip_derived_cl326]) ).
thf(zip_derived_cl70_647,plain,
( ( incident @ a3 @ b1b2 )
<= ( incident @ a3 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl3759,plain,
( ( ( a3 = p3 )
| ~ ( incident @ a3 @ b2b3 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a2 @ b3b1 )
& ( incident @ a3 @ b1b2 )
& ( b2b3 = a1a2 )
& ( b2 = a1 )
& ( b3b1 = s2 )
& ( a1 = p3 )
& ( a2 = p3 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3754,zip_derived_cl70]) ).
thf(zip_derived_cl3825,plain,
( ~ ( incident @ a3 @ b2b3 )
<= ~ ( incident @ a3 @ b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl3759]) ).
thf(zip_derived_cl4414,plain,
( ~ ( incident @ p1 @ b2b3 )
<= ( ~ ( incident @ a3 @ b2b3 )
& ( a3 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4369,zip_derived_cl3825]) ).
thf(zip_derived_cl30_648,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf('156',plain,
( ( a3 != p1 )
| ( incident @ a3 @ b2b3 ) ),
inference(demod,[status(thm)],[zip_derived_cl4414,zip_derived_cl30]) ).
thf(zip_derived_cl8884_649,plain,
( ( b3 = a2 )
<= ( b3 = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl731]) ).
thf(zip_derived_cl15_650,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl8911,plain,
( ( incident @ a2 @ b2b3 )
<= ( b3 = a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8884,zip_derived_cl15]) ).
thf(zip_derived_cl8883,plain,
( ! [X0: $i] :
( ( b3b1 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) )
<= ! [X0: $i] :
( ( b3b1 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl731]) ).
thf(zip_derived_cl15_651,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl8887,plain,
( ( ~ ( incident @ a2 @ b2b3 )
| ( b3b1 = b2b3 ) )
<= ! [X0: $i] :
( ( b3b1 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8883,zip_derived_cl15]) ).
thf(zip_derived_cl9620,plain,
( ~ ( incident @ a2 @ b2b3 )
<= ~ ( incident @ a2 @ b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl8887]) ).
thf('157',plain,
( ( b3 != a2 )
| ( incident @ a2 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8911,zip_derived_cl9620]) ).
thf(zip_derived_cl25_652,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl215_653,plain,
! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ s2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( s2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl49]) ).
thf(zip_derived_cl837,plain,
! [X0: $i] :
( ( b2 = a2 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( s2 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl215]) ).
thf(zip_derived_cl9981,plain,
( ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a2 @ X0 ) )
<= ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl837]) ).
thf(zip_derived_cl14_654,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl9985,plain,
( ( ~ ( incident @ a2 @ b2b3 )
| ( s2 = b2b3 ) )
<= ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9981,zip_derived_cl14]) ).
thf('158',plain,
( ~ ( incident @ a2 @ b2b3 )
| ( b2b3 = s2 )
| ~ ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl9985]) ).
thf(zip_derived_cl1215_655,plain,
! [X0: $i] :
( ~ ( incident @ b3 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1201,zip_derived_cl94]) ).
thf(zip_derived_cl65_656,plain,
( ( incident @ b3 @ a1a2 )
<= ( incident @ b3 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl21018,plain,
( ( ( b2b3 = a1a2 )
| ~ ( incident @ b2 @ a1a2 ) )
<= ( incident @ b3 @ a1a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1215,zip_derived_cl65]) ).
thf('159',plain,
( ~ ( incident @ b2 @ a1a2 )
| ~ ( incident @ b3 @ a1a2 )
| ( b2b3 = a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl21018]) ).
thf(zip_derived_cl9982,plain,
( ( b2 = a2 )
<= ( b2 = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl837]) ).
thf(zip_derived_cl21056,plain,
( ~ ( incident @ b2 @ a1a2 )
<= ~ ( incident @ b2 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl21018]) ).
thf(zip_derived_cl21069,plain,
( ~ ( incident @ a2 @ a1a2 )
<= ( ~ ( incident @ b2 @ a1a2 )
& ( b2 = a2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9982,zip_derived_cl21056]) ).
thf(zip_derived_cl7_657,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf('160',plain,
( ( b2 != a2 )
| ( incident @ b2 @ a1a2 ) ),
inference(demod,[status(thm)],[zip_derived_cl21069,zip_derived_cl7]) ).
thf('161',plain,
( ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a2 @ X0 ) )
| ( b2 = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl837]) ).
thf(zip_derived_cl4784_658,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl508]) ).
thf(zip_derived_cl10_659,plain,
incident @ a3 @ a3a1,
inference(cnf,[status(esa)],[ia3a1]) ).
thf(zip_derived_cl4792,plain,
( ( ( a2a3 = a3a1 )
| ~ ( incident @ p1 @ a3a1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4784,zip_derived_cl10]) ).
thf('162',plain,
( ~ ( incident @ p1 @ a3a1 )
| ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) )
| ( a2a3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl4792]) ).
thf(zip_derived_cl5980,plain,
( ( a2a3 = a3a1 )
<= ( a2a3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl4792]) ).
thf(zip_derived_cl31_660,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf(zip_derived_cl5983,plain,
( ( incident @ p2 @ a2a3 )
<= ( a2a3 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5980,zip_derived_cl31]) ).
thf(zip_derived_cl103_661,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl22540,plain,
( ( ~ ( incident @ p3 @ a2a3 )
| ~ ( incident @ p1 @ a2a3 ) )
<= ( a2a3 = a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5983,zip_derived_cl103]) ).
thf(zip_derived_cl29_662,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf(zip_derived_cl22555,plain,
( ~ ( incident @ p3 @ a2a3 )
<= ( a2a3 = a3a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl22540,zip_derived_cl29]) ).
thf(zip_derived_cl7_663,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl5980_664,plain,
( ( a2a3 = a3a1 )
<= ( a2a3 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl4792]) ).
thf(zip_derived_cl11_665,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl5982,plain,
( ( incident @ a1 @ a2a3 )
<= ( a2a3 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5980,zip_derived_cl11]) ).
thf(zip_derived_cl213_666,plain,
! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ a2a3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( a2a3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl49]) ).
thf(zip_derived_cl22492,plain,
( ! [X0: $i] :
( ( a1 = a2 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a2a3 = X0 ) )
<= ( a2a3 = a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5982,zip_derived_cl213]) ).
thf(zip_derived_cl90_667,plain,
a1 != a2,
inference(simpl_trail,[status(thm)],[zip_derived_cl71,'5']) ).
thf(zip_derived_cl22515,plain,
( ! [X0: $i] :
( ~ ( incident @ a1 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a2a3 = X0 ) )
<= ( a2a3 = a3a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22492,zip_derived_cl90]) ).
thf(zip_derived_cl73536,plain,
( ( ~ ( incident @ a1 @ a1a2 )
| ( a2a3 = a1a2 ) )
<= ( a2a3 = a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl22515]) ).
thf(zip_derived_cl6_668,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl73566,plain,
( ( a2a3 = a1a2 )
<= ( a2a3 = a3a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl73536,zip_derived_cl6]) ).
thf(zip_derived_cl27_669,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl73645,plain,
( ( incident @ p3 @ a2a3 )
<= ( a2a3 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl73566,zip_derived_cl27]) ).
thf('163',plain,
a2a3 != a3a1,
inference(demod,[status(thm)],[zip_derived_cl22555,zip_derived_cl73645]) ).
thf(zip_derived_cl9_670,plain,
incident @ a3 @ a2a3,
inference(cnf,[status(esa)],[ia3a2]) ).
thf(zip_derived_cl3566_671,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl11_672,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl3577,plain,
( ( ( a1a2 = a3a1 )
| ~ ( incident @ p3 @ a3a1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3566,zip_derived_cl11]) ).
thf(zip_derived_cl4636,plain,
( ( a1a2 = a3a1 )
<= ( a1a2 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl3577]) ).
thf(zip_derived_cl7_673,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl4638,plain,
( ( incident @ a2 @ a3a1 )
<= ( a1a2 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4636,zip_derived_cl7]) ).
thf(zip_derived_cl218_674,plain,
! [X0: $i,X1: $i] :
( ( X0 = a3 )
| ~ ( incident @ X0 @ a3a1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a3 @ X1 )
| ( a3a1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl49]) ).
thf(zip_derived_cl18067,plain,
( ! [X0: $i] :
( ( a2 = a3 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( a3a1 = X0 ) )
<= ( a1a2 = a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4638,zip_derived_cl218]) ).
thf(zip_derived_cl91_675,plain,
a2 != a3,
inference(simpl_trail,[status(thm)],[zip_derived_cl73,'21']) ).
thf(zip_derived_cl18089,plain,
( ! [X0: $i] :
( ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a3 @ X0 )
| ( a3a1 = X0 ) )
<= ( a1a2 = a3a1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl18067,zip_derived_cl91]) ).
thf(zip_derived_cl70054,plain,
( ( ~ ( incident @ a2 @ a2a3 )
| ( a3a1 = a2a3 ) )
<= ( a1a2 = a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9,zip_derived_cl18089]) ).
thf(zip_derived_cl8_676,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf(zip_derived_cl70079,plain,
( ( a3a1 = a2a3 )
<= ( a1a2 = a3a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl70054,zip_derived_cl8]) ).
thf(zip_derived_cl31_677,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf(zip_derived_cl70107,plain,
( ( incident @ p2 @ a2a3 )
<= ( a1a2 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl70079,zip_derived_cl31]) ).
thf(zip_derived_cl103_678,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl70569,plain,
( ( ~ ( incident @ p3 @ a2a3 )
| ~ ( incident @ p1 @ a2a3 ) )
<= ( a1a2 = a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl70107,zip_derived_cl103]) ).
thf(zip_derived_cl4636_679,plain,
( ( a1a2 = a3a1 )
<= ( a1a2 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl3577]) ).
thf(zip_derived_cl27_680,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl4639,plain,
( ( incident @ p3 @ a3a1 )
<= ( a1a2 = a3a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4636,zip_derived_cl27]) ).
thf(zip_derived_cl70079_681,plain,
( ( a3a1 = a2a3 )
<= ( a1a2 = a3a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl70054,zip_derived_cl8]) ).
thf(zip_derived_cl70101,plain,
( ( incident @ p3 @ a2a3 )
<= ( a1a2 = a3a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4639,zip_derived_cl70079]) ).
thf(zip_derived_cl29_682,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf('164',plain,
a1a2 != a3a1,
inference(demod,[status(thm)],[zip_derived_cl70569,zip_derived_cl70101,zip_derived_cl29]) ).
thf(zip_derived_cl29_683,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf(zip_derived_cl8_684,plain,
incident @ a2 @ a2a3,
inference(cnf,[status(esa)],[ia2a3]) ).
thf(zip_derived_cl2362_685,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X0 @ X2 )
| ( ( sk_ @ X1 @ X0 )
= X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl2361,zip_derived_cl33]) ).
thf(zip_derived_cl2396,plain,
! [X0: $i] :
( ( a2 = X0 )
| ~ ( incident @ X0 @ a2a3 )
| ( ( sk_ @ a2 @ X0 )
= a2a3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl2362]) ).
thf(zip_derived_cl823_686,plain,
( ( incident @ a2 @ b2b3 )
<= ( b2b3 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl820,zip_derived_cl22]) ).
thf(zip_derived_cl2362_687,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X0 @ X2 )
| ( ( sk_ @ X1 @ X0 )
= X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl2361,zip_derived_cl33]) ).
thf(zip_derived_cl2394,plain,
( ! [X0: $i] :
( ( a2 = X0 )
| ~ ( incident @ X0 @ b2b3 )
| ( ( sk_ @ a2 @ X0 )
= b2b3 ) )
<= ( b2b3 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl823,zip_derived_cl2362]) ).
thf(zip_derived_cl54873,plain,
( ! [X0: $i] :
( ~ ( incident @ X0 @ a2a3 )
| ( a2 = X0 )
| ( a2 = X0 )
| ~ ( incident @ X0 @ b2b3 )
| ( a2a3 = b2b3 ) )
<= ( b2b3 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl2396,zip_derived_cl2394]) ).
thf(zip_derived_cl55007,plain,
( ! [X0: $i] :
( ( a2a3 = b2b3 )
| ~ ( incident @ X0 @ b2b3 )
| ( a2 = X0 )
| ~ ( incident @ X0 @ a2a3 ) )
<= ( b2b3 = s2 ) ),
inference(simplify,[status(thm)],[zip_derived_cl54873]) ).
thf(zip_derived_cl97_688,plain,
a2a3 != b2b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl85,'54']) ).
thf(zip_derived_cl55008,plain,
( ! [X0: $i] :
( ~ ( incident @ X0 @ b2b3 )
| ( a2 = X0 )
| ~ ( incident @ X0 @ a2a3 ) )
<= ( b2b3 = s2 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl55007,zip_derived_cl97]) ).
thf(zip_derived_cl83246,plain,
( ( ~ ( incident @ p1 @ b2b3 )
| ( a2 = p1 ) )
<= ( b2b3 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl29,zip_derived_cl55008]) ).
thf(zip_derived_cl30_689,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf(zip_derived_cl83281,plain,
( ( a2 = p1 )
<= ( b2b3 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl83246,zip_derived_cl30]) ).
thf(zip_derived_cl675_690,plain,
! [X0: $i] :
( ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a1a2 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl664,zip_derived_cl90]) ).
thf(zip_derived_cl83495,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a1a2 = X0 ) )
<= ( b2b3 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl83281,zip_derived_cl675]) ).
thf(zip_derived_cl11_691,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl88292,plain,
( ( ( a1a2 = a3a1 )
| ~ ( incident @ p1 @ a3a1 ) )
<= ( b2b3 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl83495,zip_derived_cl11]) ).
thf('165',plain,
( ( a1a2 = a3a1 )
| ~ ( incident @ p1 @ a3a1 )
| ( b2b3 != s2 ) ),
inference(split,[status(esa)],[zip_derived_cl88292]) ).
thf('166',plain,
( ! [X0: $i] :
( ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 )
| ~ ( incident @ a3 @ X0 ) )
| ~ ( incident @ a3 @ b1b2 )
| ( b2 = a3 ) ),
inference(split,[status(esa)],[zip_derived_cl872]) ).
thf(zip_derived_cl4369_692,plain,
( ( a3 = p1 )
<= ( a3 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl491]) ).
thf(zip_derived_cl10_693,plain,
incident @ a3 @ a3a1,
inference(cnf,[status(esa)],[ia3a1]) ).
thf(zip_derived_cl4400,plain,
( ( incident @ p1 @ a3a1 )
<= ( a3 = p1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4369,zip_derived_cl10]) ).
thf(zip_derived_cl172_694,plain,
( ~ ( incident @ p1 @ a3a1 )
<= ~ ( incident @ p1 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl170]) ).
thf('167',plain,
( ( a3 != p1 )
| ( incident @ p1 @ a3a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4400,zip_derived_cl172]) ).
thf('168',plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) )
| ( a3 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl508]) ).
thf(zip_derived_cl10721_695,plain,
( ( b2 = a3 )
<= ( b2 = a3 ) ),
inference(split,[status(esa)],[zip_derived_cl872]) ).
thf(zip_derived_cl14_696,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl10752,plain,
( ( incident @ a3 @ b2b3 )
<= ( b2 = a3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10721,zip_derived_cl14]) ).
thf(zip_derived_cl4784_697,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl508]) ).
thf(zip_derived_cl33185,plain,
( ( ~ ( incident @ p1 @ b2b3 )
| ( a2a3 = b2b3 ) )
<= ( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) )
& ( b2 = a3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl10752,zip_derived_cl4784]) ).
thf(zip_derived_cl30_698,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf(zip_derived_cl33215,plain,
( ( a2a3 = b2b3 )
<= ( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) )
& ( b2 = a3 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl33185,zip_derived_cl30]) ).
thf(zip_derived_cl97_699,plain,
a2a3 != b2b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl85,'54']) ).
thf('169',plain,
( ( b2 != a3 )
| ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33215,zip_derived_cl97]) ).
thf(zip_derived_cl1787_700,plain,
( ( a2a3 = s3 )
<= ( a2a3 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl1706]) ).
thf(zip_derived_cl20_701,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl1788,plain,
( ( incident @ s @ a2a3 )
<= ( a2a3 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1787,zip_derived_cl20]) ).
thf(zip_derived_cl213_702,plain,
! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ a2a3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( a2a3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl49]) ).
thf(zip_derived_cl1891,plain,
( ! [X0: $i] :
( ( s = a2 )
| ~ ( incident @ s @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a2a3 = X0 ) )
<= ( a2a3 = s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl1788,zip_derived_cl213]) ).
thf('170',plain,
( ( a2a3 != s3 )
| ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( s = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl1891]) ).
thf(zip_derived_cl3423_703,plain,
( ( b1b2 = a3a1 )
<= ( b1b2 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl3073]) ).
thf(zip_derived_cl62_704,plain,
( ~ ( incident @ b2 @ a3a1 )
<= ~ ( incident @ b2 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl2]) ).
thf(zip_derived_cl3427,plain,
( ~ ( incident @ b2 @ b1b2 )
<= ( ~ ( incident @ b2 @ a3a1 )
& ( b1b2 = a3a1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3423,zip_derived_cl62]) ).
thf(zip_derived_cl13_705,plain,
incident @ b2 @ b1b2,
inference(cnf,[status(esa)],[ib2b1]) ).
thf('171',plain,
( ( b1b2 != a3a1 )
| ( incident @ b2 @ a3a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl3427,zip_derived_cl13]) ).
thf(zip_derived_cl3228_706,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl432]) ).
thf(zip_derived_cl69_707,plain,
( ( incident @ b2 @ a3a1 )
<= ( incident @ b2 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl3236,plain,
( ( ( b1b2 = a3a1 )
| ~ ( incident @ p3 @ a3a1 ) )
<= ( ( incident @ b2 @ a3a1 )
& ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3228,zip_derived_cl69]) ).
thf('172',plain,
( ~ ( incident @ p3 @ a3a1 )
| ~ ( incident @ b2 @ a3a1 )
| ~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 ) )
| ( b1b2 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl3236]) ).
thf(zip_derived_cl321_708,plain,
( ( incident @ a1 @ b2b3 )
<= ( b2b3 = a1a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl316,zip_derived_cl6]) ).
thf(zip_derived_cl57,plain,
( ~ ( incident @ a1 @ b2b3 )
<= ~ ( incident @ a1 @ b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf('173',plain,
( ( b2b3 != a1a2 )
| ( incident @ a1 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl321,zip_derived_cl57]) ).
thf(zip_derived_cl3229_709,plain,
( ( b2 = p3 )
<= ( b2 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl432]) ).
thf(zip_derived_cl14_710,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl3254,plain,
( ( incident @ p3 @ b2b3 )
<= ( b2 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3229,zip_derived_cl14]) ).
thf(zip_derived_cl3228_711,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl432]) ).
thf(zip_derived_cl14_712,plain,
incident @ b2 @ b2b3,
inference(cnf,[status(esa)],[ib2b3]) ).
thf(zip_derived_cl3232,plain,
( ( ( b1b2 = b2b3 )
| ~ ( incident @ p3 @ b2b3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3228,zip_derived_cl14]) ).
thf(zip_derived_cl4021,plain,
( ~ ( incident @ p3 @ b2b3 )
<= ~ ( incident @ p3 @ b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl3232]) ).
thf('174',plain,
( ( b2 != p3 )
| ( incident @ p3 @ b2b3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3254,zip_derived_cl4021]) ).
thf(zip_derived_cl3229_713,plain,
( ( b2 = p3 )
<= ( b2 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl432]) ).
thf(zip_derived_cl3811_714,plain,
( ( b2 != p3 )
<= ( b3 = p3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3784,zip_derived_cl94]) ).
thf(zip_derived_cl3821,plain,
( ( p3 != p3 )
<= ( ( b2 = p3 )
& ( b3 = p3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3229,zip_derived_cl3811]) ).
thf('175',plain,
( ( b3 != p3 )
| ( b2 != p3 ) ),
inference(simplify,[status(thm)],[zip_derived_cl3821]) ).
thf(zip_derived_cl3783_715,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl459]) ).
thf(zip_derived_cl15_716,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl3787,plain,
( ( ( a1a2 = b2b3 )
| ~ ( incident @ p3 @ b2b3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3783,zip_derived_cl15]) ).
thf('176',plain,
( ~ ( incident @ p3 @ b2b3 )
| ~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) )
| ( b2b3 = a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl3787]) ).
thf('177',plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b2 @ X0 ) )
| ( b2 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl432]) ).
thf(zip_derived_cl614_717,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a3a1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl603,zip_derived_cl92]) ).
thf(zip_derived_cl70_718,plain,
( ( incident @ a3 @ b1b2 )
<= ( incident @ a3 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl7415,plain,
( ( ( a3a1 = b1b2 )
| ~ ( incident @ a1 @ b1b2 ) )
<= ( incident @ a3 @ b1b2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl614,zip_derived_cl70]) ).
thf('178',plain,
( ~ ( incident @ a1 @ b1b2 )
| ~ ( incident @ a3 @ b1b2 )
| ( b1b2 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl7415]) ).
thf(zip_derived_cl3567_719,plain,
( ( a1 = p3 )
<= ( a1 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl390_720,plain,
( ! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( b2b3 = X0 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( b2b3 = a3a1 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl389,zip_derived_cl92]) ).
thf(zip_derived_cl70_721,plain,
( ( incident @ a3 @ b1b2 )
<= ( incident @ a3 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf(zip_derived_cl394,plain,
( ( ( b2b3 = b1b2 )
| ~ ( incident @ a1 @ b1b2 ) )
<= ( ( incident @ a1 @ b2b3 )
& ( incident @ a3 @ b1b2 )
& ( b2b3 = a3a1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl390,zip_derived_cl70]) ).
thf(zip_derived_cl415,plain,
( ~ ( incident @ a1 @ b1b2 )
<= ~ ( incident @ a1 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl394]) ).
thf(zip_derived_cl3622,plain,
( ~ ( incident @ p3 @ b1b2 )
<= ( ~ ( incident @ a1 @ b1b2 )
& ( a1 = p3 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3567,zip_derived_cl415]) ).
thf(zip_derived_cl28_722,plain,
incident @ p3 @ b1b2,
inference(cnf,[status(esa)],[ip3b]) ).
thf('179',plain,
( ( a1 != p3 )
| ( incident @ a1 @ b1b2 ) ),
inference(demod,[status(thm)],[zip_derived_cl3622,zip_derived_cl28]) ).
thf('180',plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) )
| ( a1 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf('181',plain,
( ( a3 != s )
| ( b1b2 = a2a3 )
| ~ ( incident @ b1 @ a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl49430]) ).
thf('182',plain,
( ( a2 != p1 )
| ( incident @ p1 @ a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4696,zip_derived_cl315]) ).
thf('183',plain,
( ( incident @ b1 @ s3 )
| ( b1 != a3 ) ),
inference(demod,[status(thm)],[zip_derived_cl10654,zip_derived_cl23]) ).
thf('184',plain,
( ( incident @ b1 @ a2a3 )
| ( incident @ a2 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl4]) ).
thf('185',plain,
( ( incident @ a3 @ b1b2 )
| ( incident @ b2 @ a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl5]) ).
thf('186',plain,
( ~ ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ b3 @ X0 ) )
| ~ ( incident @ a1 @ b3b1 )
| ( b2b3 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl1807]) ).
thf(zip_derived_cl8795_723,plain,
( ( b1 = a2 )
<= ( b1 = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl730]) ).
thf(zip_derived_cl336_724,plain,
( ( incident @ b1 @ b2b3 )
<= ( b2b3 = s1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl332,zip_derived_cl24]) ).
thf(zip_derived_cl224_725,plain,
! [X0: $i,X1: $i] :
( ( X0 = b2 )
| ~ ( incident @ X0 @ b2b3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b2 @ X1 )
| ( b2b3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl49]) ).
thf(zip_derived_cl1198,plain,
( ! [X0: $i] :
( ( b1 = b2 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = s1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl336,zip_derived_cl224]) ).
thf(zip_derived_cl93_726,plain,
b1 != b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl77,'9']) ).
thf(zip_derived_cl1212,plain,
( ! [X0: $i] :
( ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b2 @ X0 )
| ( b2b3 = X0 ) )
<= ( b2b3 = s1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1198,zip_derived_cl93]) ).
thf(zip_derived_cl25_727,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl2115,plain,
( ( ( b2b3 = s2 )
| ~ ( incident @ b1 @ s2 ) )
<= ( b2b3 = s1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl1212,zip_derived_cl25]) ).
thf(zip_derived_cl2172,plain,
( ~ ( incident @ b1 @ s2 )
<= ~ ( incident @ b1 @ s2 ) ),
inference(split,[status(esa)],[zip_derived_cl2115]) ).
thf(zip_derived_cl8835,plain,
( ~ ( incident @ a2 @ s2 )
<= ( ~ ( incident @ b1 @ s2 )
& ( b1 = a2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8795,zip_derived_cl2172]) ).
thf(zip_derived_cl22_728,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf('187',plain,
( ( b1 != a2 )
| ( incident @ b1 @ s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl8835,zip_derived_cl22]) ).
thf(zip_derived_cl8911_729,plain,
( ( incident @ a2 @ b2b3 )
<= ( b3 = a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8884,zip_derived_cl15]) ).
thf(zip_derived_cl4661_730,plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl30301,plain,
( ( ~ ( incident @ p1 @ b2b3 )
| ( a2a3 = b2b3 ) )
<= ( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) )
& ( b3 = a2 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8911,zip_derived_cl4661]) ).
thf(zip_derived_cl30_731,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf(zip_derived_cl30340,plain,
( ( a2a3 = b2b3 )
<= ( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) )
& ( b3 = a2 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl30301,zip_derived_cl30]) ).
thf(zip_derived_cl97_732,plain,
a2a3 != b2b3,
inference(simpl_trail,[status(thm)],[zip_derived_cl85,'54']) ).
thf('188',plain,
( ( b3 != a2 )
| ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl30340,zip_derived_cl97]) ).
thf(zip_derived_cl19494_733,plain,
( ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1155]) ).
thf(zip_derived_cl19_734,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl19513,plain,
( ( ~ ( incident @ b1 @ s2 )
| ( s1 = s2 ) )
<= ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl19494,zip_derived_cl19]) ).
thf('189',plain,
( ~ ( incident @ b1 @ s2 )
| ~ ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( s1 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl19513]) ).
thf(zip_derived_cl4696_735,plain,
( ( incident @ p1 @ a1a2 )
<= ( a2 = p1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4662,zip_derived_cl7]) ).
thf(zip_derived_cl4114,plain,
( ( p2 = a1 )
<= ( p2 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl472]) ).
thf(zip_derived_cl6_736,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl4153,plain,
( ( incident @ p2 @ a1a2 )
<= ( p2 = a1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4114,zip_derived_cl6]) ).
thf(zip_derived_cl103_737,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl16436,plain,
( ( ~ ( incident @ p3 @ a1a2 )
| ~ ( incident @ p1 @ a1a2 ) )
<= ( p2 = a1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4153,zip_derived_cl103]) ).
thf(zip_derived_cl27_738,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl16454,plain,
( ~ ( incident @ p1 @ a1a2 )
<= ( p2 = a1 ) ),
inference(demod,[status(thm)],[zip_derived_cl16436,zip_derived_cl27]) ).
thf('190',plain,
( ( p2 != a1 )
| ( a2 != p1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4696,zip_derived_cl16454]) ).
thf(zip_derived_cl16_739,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl12511_740,plain,
( ( b1 = s )
<= ( b1 = s ) ),
inference(split,[status(esa)],[zip_derived_cl12485]) ).
thf(zip_derived_cl20_741,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl12571,plain,
( ( incident @ b1 @ s3 )
<= ( b1 = s ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl12511,zip_derived_cl20]) ).
thf(zip_derived_cl231_742,plain,
! [X0: $i,X1: $i] :
( ( X0 = b3 )
| ~ ( incident @ X0 @ s3 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ b3 @ X1 )
| ( s3 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl26,zip_derived_cl49]) ).
thf(zip_derived_cl33882,plain,
( ! [X0: $i] :
( ( b1 = b3 )
| ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( s3 = X0 ) )
<= ( b1 = s ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl12571,zip_derived_cl231]) ).
thf(zip_derived_cl95_743,plain,
b3 != b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl81,'14']) ).
thf(zip_derived_cl33916,plain,
( ! [X0: $i] :
( ~ ( incident @ b1 @ X0 )
| ~ ( incident @ b3 @ X0 )
| ( s3 = X0 ) )
<= ( b1 = s ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl33882,zip_derived_cl95]) ).
thf(zip_derived_cl77531,plain,
( ( ~ ( incident @ b1 @ b3b1 )
| ( s3 = b3b1 ) )
<= ( b1 = s ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl33916]) ).
thf(zip_derived_cl17_744,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf(zip_derived_cl77547,plain,
( ( s3 = b3b1 )
<= ( b1 = s ) ),
inference(demod,[status(thm)],[zip_derived_cl77531,zip_derived_cl17]) ).
thf(zip_derived_cl23_745,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl77567,plain,
( ( incident @ a3 @ b3b1 )
<= ( b1 = s ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl77547,zip_derived_cl23]) ).
thf(zip_derived_cl765_746,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a2a3 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl757,zip_derived_cl91]) ).
thf(zip_derived_cl77681,plain,
( ( ~ ( incident @ a2 @ b3b1 )
| ( a2a3 = b3b1 ) )
<= ( b1 = s ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl77567,zip_derived_cl765]) ).
thf('191',plain,
( ( b1 != s )
| ~ ( incident @ a2 @ b3b1 )
| ( a2a3 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl77681]) ).
thf(zip_derived_cl11_747,plain,
incident @ a1 @ a3a1,
inference(cnf,[status(esa)],[ia1a3]) ).
thf(zip_derived_cl207_748,plain,
! [X0: $i,X1: $i] :
( ( X0 = p2 )
| ~ ( incident @ X0 @ a3a1 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ p2 @ X1 )
| ( a3a1 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl49]) ).
thf(zip_derived_cl565,plain,
! [X0: $i] :
( ( a1 = p2 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ p2 @ X0 )
| ( a3a1 = X0 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl207]) ).
thf('192',plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 ) )
| ( p2 = a1 ) ),
inference(split,[status(esa)],[zip_derived_cl565]) ).
thf(zip_derived_cl6111_749,plain,
( ( a2a3 = b3b1 )
<= ( a2a3 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl4830]) ).
thf(zip_derived_cl9_750,plain,
incident @ a3 @ a2a3,
inference(cnf,[status(esa)],[ia3a2]) ).
thf(zip_derived_cl6113,plain,
( ( incident @ a3 @ b3b1 )
<= ( a2a3 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6111,zip_derived_cl9]) ).
thf(zip_derived_cl614_751,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a3a1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl603,zip_derived_cl92]) ).
thf(zip_derived_cl22624,plain,
( ( ~ ( incident @ a1 @ b3b1 )
| ( a3a1 = b3b1 ) )
<= ( a2a3 = b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl6113,zip_derived_cl614]) ).
thf(zip_derived_cl98_752,plain,
a3a1 != b3b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl87,'45']) ).
thf(zip_derived_cl22651,plain,
( ~ ( incident @ a1 @ b3b1 )
<= ( a2a3 = b3b1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl22624,zip_derived_cl98]) ).
thf(zip_derived_cl4991_753,plain,
( ( a1a2 = b3b1 )
<= ( a1a2 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl3788]) ).
thf(zip_derived_cl6_754,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl4992,plain,
( ( incident @ a1 @ b3b1 )
<= ( a1a2 = b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4991,zip_derived_cl6]) ).
thf('193',plain,
( ( a2a3 != b3b1 )
| ( a1a2 != b3b1 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl22651,zip_derived_cl4992]) ).
thf(zip_derived_cl4991_755,plain,
( ( a1a2 = b3b1 )
<= ( a1a2 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl3788]) ).
thf(zip_derived_cl4113_756,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl472]) ).
thf(zip_derived_cl6_757,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl4125,plain,
( ( ( b2b3 = a1a2 )
| ~ ( incident @ p2 @ a1a2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4113,zip_derived_cl6]) ).
thf(zip_derived_cl5310,plain,
( ~ ( incident @ p2 @ a1a2 )
<= ~ ( incident @ p2 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl4125]) ).
thf(zip_derived_cl5315,plain,
( ~ ( incident @ p2 @ b3b1 )
<= ( ~ ( incident @ p2 @ a1a2 )
& ( a1a2 = b3b1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4991,zip_derived_cl5310]) ).
thf(zip_derived_cl32_758,plain,
incident @ p2 @ b3b1,
inference(cnf,[status(esa)],[ip2b]) ).
thf('194',plain,
( ( a1a2 != b3b1 )
| ( incident @ p2 @ a1a2 ) ),
inference(demod,[status(thm)],[zip_derived_cl5315,zip_derived_cl32]) ).
thf(zip_derived_cl4991_759,plain,
( ( a1a2 = b3b1 )
<= ( a1a2 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl3788]) ).
thf(zip_derived_cl4636_760,plain,
( ( a1a2 = a3a1 )
<= ( a1a2 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl3577]) ).
thf(zip_derived_cl5011,plain,
( ( b3b1 = a3a1 )
<= ( ( a1a2 = a3a1 )
& ( a1a2 = b3b1 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl4991,zip_derived_cl4636]) ).
thf(zip_derived_cl98_761,plain,
a3a1 != b3b1,
inference(simpl_trail,[status(thm)],[zip_derived_cl87,'45']) ).
thf('195',plain,
( ( a1a2 != a3a1 )
| ( a1a2 != b3b1 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl5011,zip_derived_cl98]) ).
thf(zip_derived_cl6064,plain,
( ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl565]) ).
thf(zip_derived_cl6_762,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl6076,plain,
( ( ( a3a1 = a1a2 )
| ~ ( incident @ p2 @ a1a2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl6064,zip_derived_cl6]) ).
thf('196',plain,
( ~ ( incident @ p2 @ a1a2 )
| ~ ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( a3a1 = X0 )
| ~ ( incident @ a1 @ X0 ) )
| ( a1a2 = a3a1 ) ),
inference(split,[status(esa)],[zip_derived_cl6076]) ).
thf(zip_derived_cl3158,plain,
( ( b1 = p3 )
<= ( b1 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl431]) ).
thf(zip_derived_cl24_763,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl3182,plain,
( ( incident @ p3 @ s1 )
<= ( b1 = p3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3158,zip_derived_cl24]) ).
thf(zip_derived_cl3947_764,plain,
( ~ ( incident @ p3 @ s1 )
<= ~ ( incident @ p3 @ s1 ) ),
inference(split,[status(esa)],[zip_derived_cl3165]) ).
thf('197',plain,
( ( b1 != p3 )
| ( incident @ p3 @ s1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3182,zip_derived_cl3947]) ).
thf(zip_derived_cl3566_765,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl457]) ).
thf(zip_derived_cl21_766,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl3579,plain,
( ( ( a1a2 = s1 )
| ~ ( incident @ p3 @ s1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3566,zip_derived_cl21]) ).
thf(zip_derived_cl4728,plain,
( ( a1a2 = s1 )
<= ( a1a2 = s1 ) ),
inference(split,[status(esa)],[zip_derived_cl3579]) ).
thf(zip_derived_cl3010_767,plain,
( ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl2801]) ).
thf(zip_derived_cl18_768,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl3022,plain,
( ( ~ ( incident @ a2 @ s1 )
| ( b2b3 = s1 ) )
<= ! [X0: $i] :
( ( b2b3 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3010,zip_derived_cl18]) ).
thf(zip_derived_cl3310,plain,
( ~ ( incident @ a2 @ s1 )
<= ~ ( incident @ a2 @ s1 ) ),
inference(split,[status(esa)],[zip_derived_cl3022]) ).
thf(zip_derived_cl4741,plain,
( ~ ( incident @ a2 @ a1a2 )
<= ( ~ ( incident @ a2 @ s1 )
& ( a1a2 = s1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4728,zip_derived_cl3310]) ).
thf(zip_derived_cl7_769,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf('198',plain,
( ( a1a2 != s1 )
| ( incident @ a2 @ s1 ) ),
inference(demod,[status(thm)],[zip_derived_cl4741,zip_derived_cl7]) ).
thf('199',plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) )
| ( b1 = p3 ) ),
inference(split,[status(esa)],[zip_derived_cl431]) ).
thf(zip_derived_cl10066_770,plain,
( ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl838]) ).
thf(zip_derived_cl18_771,plain,
incident @ s @ s1,
inference(cnf,[status(esa)],[iss1]) ).
thf(zip_derived_cl10079,plain,
( ( ~ ( incident @ a2 @ s1 )
| ( s2 = s1 ) )
<= ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl10066,zip_derived_cl18]) ).
thf('200',plain,
( ~ ( incident @ a2 @ s1 )
| ~ ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( s1 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl10079]) ).
thf(zip_derived_cl8292_772,plain,
( ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) )
<= ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl702]) ).
thf(zip_derived_cl19_773,plain,
incident @ s @ s2,
inference(cnf,[status(esa)],[iss2]) ).
thf(zip_derived_cl8306,plain,
( ( ~ ( incident @ a1 @ s2 )
| ( s1 = s2 ) )
<= ! [X0: $i] :
( ( s1 = X0 )
| ~ ( incident @ a1 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8292,zip_derived_cl19]) ).
thf(zip_derived_cl9246,plain,
( ( s1 = s2 )
<= ( s1 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl8306]) ).
thf(zip_derived_cl9246_774,plain,
( ( s1 = s2 )
<= ( s1 = s2 ) ),
inference(split,[status(esa)],[zip_derived_cl8306]) ).
thf(zip_derived_cl22_775,plain,
incident @ a2 @ s2,
inference(cnf,[status(esa)],[ia2s2]) ).
thf(zip_derived_cl9248,plain,
( ( incident @ a2 @ s1 )
<= ( s1 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9246,zip_derived_cl22]) ).
thf(zip_derived_cl675_776,plain,
! [X0: $i] :
( ~ ( incident @ a2 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a1a2 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl664,zip_derived_cl90]) ).
thf(zip_derived_cl31322,plain,
( ( ~ ( incident @ a1 @ s1 )
| ( a1a2 = s1 ) )
<= ( s1 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl9248,zip_derived_cl675]) ).
thf(zip_derived_cl21_777,plain,
incident @ a1 @ s1,
inference(cnf,[status(esa)],[ia1s1]) ).
thf(zip_derived_cl31350,plain,
( ( a1a2 = s1 )
<= ( s1 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl31322,zip_derived_cl21]) ).
thf(zip_derived_cl31352,plain,
( ( a1a2 = s2 )
<= ( s1 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl9246,zip_derived_cl31350]) ).
thf(zip_derived_cl25_778,plain,
incident @ b2 @ s2,
inference(cnf,[status(esa)],[ib2s2]) ).
thf(zip_derived_cl31400,plain,
( ( incident @ b2 @ a1a2 )
<= ( s1 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31352,zip_derived_cl25]) ).
thf(zip_derived_cl1054_779,plain,
! [X0: $i] :
( ~ ( incident @ b2 @ X0 )
| ~ ( incident @ b1 @ X0 )
| ( b1b2 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl1045,zip_derived_cl93]) ).
thf(zip_derived_cl47887,plain,
( ( ~ ( incident @ b1 @ a1a2 )
| ( b1b2 = a1a2 ) )
<= ( s1 = s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl31400,zip_derived_cl1054]) ).
thf(zip_derived_cl31350_780,plain,
( ( a1a2 = s1 )
<= ( s1 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl31322,zip_derived_cl21]) ).
thf(zip_derived_cl24_781,plain,
incident @ b1 @ s1,
inference(cnf,[status(esa)],[ib1s1]) ).
thf(zip_derived_cl31356,plain,
( ( incident @ b1 @ a1a2 )
<= ( s1 = s2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl31350,zip_derived_cl24]) ).
thf(zip_derived_cl47928,plain,
( ( b1b2 = a1a2 )
<= ( s1 = s2 ) ),
inference(demod,[status(thm)],[zip_derived_cl47887,zip_derived_cl31356]) ).
thf(zip_derived_cl96_782,plain,
a1a2 != b1b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl83,'40']) ).
thf('201',plain,
s1 != s2,
inference('simplify_reflect-',[status(thm)],[zip_derived_cl47928,zip_derived_cl96]) ).
thf(zip_derived_cl7_783,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl2362_784,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X0 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X0 @ X2 )
| ( ( sk_ @ X1 @ X0 )
= X2 ) ),
inference(clc,[status(thm)],[zip_derived_cl2361,zip_derived_cl33]) ).
thf(zip_derived_cl2397,plain,
! [X0: $i] :
( ( a2 = X0 )
| ~ ( incident @ X0 @ a1a2 )
| ( ( sk_ @ a2 @ X0 )
= a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl2362]) ).
thf(zip_derived_cl50_785,plain,
! [X0: $i,X1: $i] :
( ~ ( point @ X0 )
| ~ ( point @ X1 )
| ( incident @ X0 @ ( sk_ @ X1 @ X0 ) ) ),
inference(cnf,[status(esa)],[join]) ).
thf(zip_derived_cl3157_786,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl431]) ).
thf(zip_derived_cl3166,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( point @ b1 )
| ~ ( incident @ p3 @ ( sk_ @ X0 @ b1 ) )
| ( b1b2
= ( sk_ @ X0 @ b1 ) ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl3157]) ).
thf(zip_derived_cl118_787,plain,
point @ b1,
inference('s_sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl33]) ).
thf(zip_derived_cl3173,plain,
( ! [X0: $i] :
( ~ ( point @ X0 )
| ~ ( incident @ p3 @ ( sk_ @ X0 @ b1 ) )
| ( b1b2
= ( sk_ @ X0 @ b1 ) ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl3166,zip_derived_cl118]) ).
thf(zip_derived_cl74894,plain,
( ( ~ ( incident @ b1 @ a1a2 )
| ( a2 = b1 )
| ~ ( point @ a2 )
| ~ ( incident @ p3 @ a1a2 )
| ( b1b2 = a1a2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl2397,zip_derived_cl3173]) ).
thf(zip_derived_cl109_788,plain,
point @ a2,
inference('s_sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl33]) ).
thf(zip_derived_cl27_789,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl74967,plain,
( ( ~ ( incident @ b1 @ a1a2 )
| ( a2 = b1 )
| ( b1b2 = a1a2 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference(demod,[status(thm)],[zip_derived_cl74894,zip_derived_cl109,zip_derived_cl27]) ).
thf(zip_derived_cl96_790,plain,
a1a2 != b1b2,
inference(simpl_trail,[status(thm)],[zip_derived_cl83,'40']) ).
thf(zip_derived_cl74968,plain,
( ( ~ ( incident @ b1 @ a1a2 )
| ( a2 = b1 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl74967,zip_derived_cl96]) ).
thf('202',plain,
( ~ ( incident @ b1 @ a1a2 )
| ~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( b1b2 = X0 )
| ~ ( incident @ b1 @ X0 ) )
| ( b1 = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl74968]) ).
thf('203',plain,
( ! [X0: $i] :
( ( s2 = X0 )
| ~ ( incident @ a2 @ X0 )
| ~ ( incident @ s @ X0 ) )
| ( s = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl838]) ).
thf(zip_derived_cl4991_791,plain,
( ( a1a2 = b3b1 )
<= ( a1a2 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl3788]) ).
thf(zip_derived_cl15373_792,plain,
( ~ ( incident @ b1 @ a1a2 )
<= ~ ( incident @ b1 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl15232]) ).
thf(zip_derived_cl15378,plain,
( ~ ( incident @ b1 @ b3b1 )
<= ( ~ ( incident @ b1 @ a1a2 )
& ( a1a2 = b3b1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4991,zip_derived_cl15373]) ).
thf(zip_derived_cl17_793,plain,
incident @ b1 @ b3b1,
inference(cnf,[status(esa)],[ib1b3]) ).
thf('204',plain,
( ( a1a2 != b3b1 )
| ( incident @ b1 @ a1a2 ) ),
inference(demod,[status(thm)],[zip_derived_cl15378,zip_derived_cl17]) ).
thf(zip_derived_cl3011_794,plain,
( ( s = a2 )
<= ( s = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl2801]) ).
thf(zip_derived_cl20_795,plain,
incident @ s @ s3,
inference(cnf,[status(esa)],[iss3]) ).
thf(zip_derived_cl3091,plain,
( ( incident @ a2 @ s3 )
<= ( s = a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3011,zip_derived_cl20]) ).
thf(zip_derived_cl3314_796,plain,
( ~ ( incident @ a2 @ s3 )
<= ~ ( incident @ a2 @ s3 ) ),
inference(split,[status(esa)],[zip_derived_cl3024]) ).
thf('205',plain,
( ( s != a2 )
| ( incident @ a2 @ s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl3091,zip_derived_cl3314]) ).
thf(zip_derived_cl65_797,plain,
( ( incident @ b3 @ a1a2 )
<= ( incident @ b3 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl3]) ).
thf(zip_derived_cl7_798,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl49_799,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X0 )
| ~ ( incident @ X0 @ X2 )
| ~ ( incident @ X1 @ X2 )
| ~ ( incident @ X1 @ X3 )
| ~ ( incident @ X0 @ X3 )
| ( X2 = X3 ) ),
inference(cnf,[status(esa)],[unique]) ).
thf(zip_derived_cl214,plain,
! [X0: $i,X1: $i] :
( ( X0 = a2 )
| ~ ( incident @ X0 @ a1a2 )
| ~ ( incident @ X0 @ X1 )
| ~ ( incident @ a2 @ X1 )
| ( a1a2 = X1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl49]) ).
thf(zip_derived_cl806,plain,
( ! [X0: $i] :
( ( b3 = a2 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a1a2 = X0 ) )
<= ( incident @ b3 @ a1a2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl65,zip_derived_cl214]) ).
thf(zip_derived_cl9768,plain,
( ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) )
<= ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl806]) ).
thf(zip_derived_cl16_800,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl9773,plain,
( ( ~ ( incident @ a2 @ b3b1 )
| ( a1a2 = b3b1 ) )
<= ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9768,zip_derived_cl16]) ).
thf('206',plain,
( ~ ( incident @ a2 @ b3b1 )
| ~ ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) )
| ( a1a2 = b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl9773]) ).
thf(zip_derived_cl9768_801,plain,
( ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) )
<= ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl806]) ).
thf(zip_derived_cl26_802,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl9776,plain,
( ( ~ ( incident @ a2 @ s3 )
| ( a1a2 = s3 ) )
<= ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9768,zip_derived_cl26]) ).
thf('207',plain,
( ~ ( incident @ a2 @ s3 )
| ~ ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) )
| ( a1a2 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl9776]) ).
thf(zip_derived_cl3783_803,plain,
( ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl459]) ).
thf(zip_derived_cl26_804,plain,
incident @ b3 @ s3,
inference(cnf,[status(esa)],[ib3s3]) ).
thf(zip_derived_cl3791,plain,
( ( ( a1a2 = s3 )
| ~ ( incident @ p3 @ s3 ) )
<= ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl3783,zip_derived_cl26]) ).
thf(zip_derived_cl5282,plain,
( ( a1a2 = s3 )
<= ( a1a2 = s3 ) ),
inference(split,[status(esa)],[zip_derived_cl3791]) ).
thf(zip_derived_cl23_805,plain,
incident @ a3 @ s3,
inference(cnf,[status(esa)],[ia3s3]) ).
thf(zip_derived_cl5284,plain,
( ( incident @ a3 @ a1a2 )
<= ( a1a2 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5282,zip_derived_cl23]) ).
thf(zip_derived_cl614_806,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a1 @ X0 )
| ( a3a1 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl603,zip_derived_cl92]) ).
thf(zip_derived_cl21185,plain,
( ( ~ ( incident @ a1 @ a1a2 )
| ( a3a1 = a1a2 ) )
<= ( a1a2 = s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5284,zip_derived_cl614]) ).
thf(zip_derived_cl6_807,plain,
incident @ a1 @ a1a2,
inference(cnf,[status(esa)],[ia1a2]) ).
thf(zip_derived_cl21210,plain,
( ( a3a1 = a1a2 )
<= ( a1a2 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl21185,zip_derived_cl6]) ).
thf(zip_derived_cl5284_808,plain,
( ( incident @ a3 @ a1a2 )
<= ( a1a2 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl5282,zip_derived_cl23]) ).
thf(zip_derived_cl765_809,plain,
! [X0: $i] :
( ~ ( incident @ a3 @ X0 )
| ~ ( incident @ a2 @ X0 )
| ( a2a3 = X0 ) ),
inference('simplify_reflect-',[status(thm)],[zip_derived_cl757,zip_derived_cl91]) ).
thf(zip_derived_cl21187,plain,
( ( ~ ( incident @ a2 @ a1a2 )
| ( a2a3 = a1a2 ) )
<= ( a1a2 = s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl5284,zip_derived_cl765]) ).
thf(zip_derived_cl7_810,plain,
incident @ a2 @ a1a2,
inference(cnf,[status(esa)],[ia2a1]) ).
thf(zip_derived_cl21212,plain,
( ( a2a3 = a1a2 )
<= ( a1a2 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl21187,zip_derived_cl7]) ).
thf(zip_derived_cl21413,plain,
( ( a3a1 = a2a3 )
<= ( a1a2 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl21210,zip_derived_cl21212]) ).
thf(zip_derived_cl31_811,plain,
incident @ p2 @ a3a1,
inference(cnf,[status(esa)],[ip2a]) ).
thf(zip_derived_cl21515,plain,
( ( incident @ p2 @ a2a3 )
<= ( a1a2 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21413,zip_derived_cl31]) ).
thf(zip_derived_cl103_812,plain,
! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ~ ( incident @ p1 @ X0 )
| ~ ( incident @ p2 @ X0 ) ),
inference(simpl_trail,[status(thm)],[zip_derived_cl55,'30']) ).
thf(zip_derived_cl43548,plain,
( ( ~ ( incident @ p3 @ a2a3 )
| ~ ( incident @ p1 @ a2a3 ) )
<= ( a1a2 = s3 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl21515,zip_derived_cl103]) ).
thf(zip_derived_cl21212_813,plain,
( ( a2a3 = a1a2 )
<= ( a1a2 = s3 ) ),
inference(demod,[status(thm)],[zip_derived_cl21187,zip_derived_cl7]) ).
thf(zip_derived_cl27_814,plain,
incident @ p3 @ a1a2,
inference(cnf,[status(esa)],[ip3a]) ).
thf(zip_derived_cl21416,plain,
( ( incident @ p3 @ a2a3 )
<= ( a1a2 = s3 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl21212,zip_derived_cl27]) ).
thf(zip_derived_cl29_815,plain,
incident @ p1 @ a2a3,
inference(cnf,[status(esa)],[ip1a]) ).
thf('208',plain,
a1a2 != s3,
inference(demod,[status(thm)],[zip_derived_cl43548,zip_derived_cl21416,zip_derived_cl29]) ).
thf('209',plain,
( ~ ( incident @ p3 @ s1 )
| ( a1a2 = s1 )
| ~ ! [X0: $i] :
( ~ ( incident @ p3 @ X0 )
| ( a1a2 = X0 )
| ~ ( incident @ a1 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl3579]) ).
thf('210',plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b3 @ X0 ) )
| ( b3 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl494]) ).
thf(zip_derived_cl8884_816,plain,
( ( b3 = a2 )
<= ( b3 = a2 ) ),
inference(split,[status(esa)],[zip_derived_cl731]) ).
thf(zip_derived_cl16_817,plain,
incident @ b3 @ b3b1,
inference(cnf,[status(esa)],[ib3b1]) ).
thf(zip_derived_cl8912,plain,
( ( incident @ a2 @ b3b1 )
<= ( b3 = a2 ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl8884,zip_derived_cl16]) ).
thf(zip_derived_cl58_818,plain,
( ~ ( incident @ a2 @ b3b1 )
<= ~ ( incident @ a2 @ b3b1 ) ),
inference(split,[status(esa)],[zip_derived_cl1]) ).
thf('211',plain,
( ( b3 != a2 )
| ( incident @ a2 @ b3b1 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl8912,zip_derived_cl58]) ).
thf('212',plain,
( ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) )
| ( b3 = a2 )
| ~ ( incident @ b3 @ a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl806]) ).
thf(zip_derived_cl9768_819,plain,
( ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) )
<= ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl806]) ).
thf(zip_derived_cl15_820,plain,
incident @ b3 @ b2b3,
inference(cnf,[status(esa)],[ib3b2]) ).
thf(zip_derived_cl9772,plain,
( ( ~ ( incident @ a2 @ b2b3 )
| ( a1a2 = b2b3 ) )
<= ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference('s_sup+',[status(thm)],[zip_derived_cl9768,zip_derived_cl15]) ).
thf('213',plain,
( ~ ( incident @ a2 @ b2b3 )
| ~ ! [X0: $i] :
( ( a1a2 = X0 )
| ~ ( incident @ b3 @ X0 )
| ~ ( incident @ a2 @ X0 ) )
| ( b2b3 = a1a2 ) ),
inference(split,[status(esa)],[zip_derived_cl9772]) ).
thf(zip_derived_cl4662_821,plain,
( ( a2 = p1 )
<= ( a2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf(zip_derived_cl9620_822,plain,
( ~ ( incident @ a2 @ b2b3 )
<= ~ ( incident @ a2 @ b2b3 ) ),
inference(split,[status(esa)],[zip_derived_cl8887]) ).
thf(zip_derived_cl9627,plain,
( ~ ( incident @ p1 @ b2b3 )
<= ( ~ ( incident @ a2 @ b2b3 )
& ( a2 = p1 ) ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4662,zip_derived_cl9620]) ).
thf(zip_derived_cl30_823,plain,
incident @ p1 @ b2b3,
inference(cnf,[status(esa)],[ip1b]) ).
thf('214',plain,
( ( a2 != p1 )
| ( incident @ a2 @ b2b3 ) ),
inference(demod,[status(thm)],[zip_derived_cl9627,zip_derived_cl30]) ).
thf('215',plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) )
| ( a2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl507]) ).
thf('216',plain,
( ~ ( incident @ p1 @ s2 )
| ( a2a3 = s2 )
| ~ ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( a2a3 = X0 )
| ~ ( incident @ a2 @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl4671]) ).
thf('217',plain,
( ( b2 != p1 )
| ( incident @ p1 @ s2 ) ),
inference('s_sup-',[status(thm)],[zip_derived_cl4457,zip_derived_cl5609]) ).
thf('218',plain,
( ~ ( incident @ p2 @ s1 )
| ~ ! [X0: $i] :
( ~ ( incident @ p2 @ X0 )
| ( b3b1 = X0 )
| ~ ( incident @ b1 @ X0 ) )
| ( b3b1 = s1 ) ),
inference(split,[status(esa)],[zip_derived_cl5429]) ).
thf('219',plain,
( ! [X0: $i] :
( ~ ( incident @ p1 @ X0 )
| ( b2b3 = X0 )
| ~ ( incident @ b2 @ X0 ) )
| ( b2 = p1 ) ),
inference(split,[status(esa)],[zip_derived_cl493]) ).
thf('220',plain,
( ( a2a3 != s2 )
| ( a3 = s )
| ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ s @ X0 ) ) ),
inference(split,[status(esa)],[zip_derived_cl1648]) ).
thf('221',plain,
( ~ ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ b1 @ X0 ) )
| ( b1b2 = a2a3 )
| ~ ( incident @ a3 @ b1b2 ) ),
inference(split,[status(esa)],[zip_derived_cl11396]) ).
thf('222',plain,
( ( b1 = a3 )
| ! [X0: $i] :
( ( a2a3 = X0 )
| ~ ( incident @ a3 @ X0 )
| ~ ( incident @ b1 @ X0 ) )
| ~ ( incident @ b1 @ a2a3 ) ),
inference(split,[status(esa)],[zip_derived_cl910]) ).
thf('223',plain,
( ( incident @ a3 @ s1 )
| ( b1 != a3 ) ),
inference(demod,[status(thm)],[zip_derived_cl32981,zip_derived_cl10]) ).
thf(zip_derived_cl99621,plain,
$false,
inference('sat_resolution*',[status(thm)],['0','1','2','10','11','12','15','16','17','127','128','129','130','131','132','133','136','137','138','139','140','141','142','143','144','145','146','147','148','149','150','151','152','153','154','155','156','157','158','159','160','161','162','163','164','165','166','167','168','169','170','171','172','173','125','174','175','176','177','178','179','180','18','181','36','37','182','41','42','43','46','183','50','3','184','55','185','57','58','59','60','61','62','63','64','65','66','67','68','69','72','73','76','77','78','79','80','81','82','83','84','186','86','87','88','89','90','91','92','93','94','95','96','97','98','99','100','101','102','103','104','105','106','107','108','109','110','111','112','113','114','115','116','117','118','119','120','121','124','187','188','189','48','190','191','192','193','194','195','196','197','198','199','200','201','202','203','204','205','206','207','208','209','210','211','212','213','214','215','216','24','217','218','219','28','31','32','33','34','220','221','222','223','123']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO169+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mETkynP2D9 true
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 19:08:56 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.48/0.64 % Total configuration time : 435
% 0.48/0.64 % Estimated wc time : 1092
% 0.48/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.55/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 79.10/11.90 % Solved by fo/fo1_av.sh.
% 79.10/11.90 % done 10754 iterations in 11.071s
% 79.10/11.90 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 79.10/11.90 % SZS output start Refutation
% See solution above
% 79.31/11.92
% 79.31/11.92
% 79.31/11.92 % Terminating...
% 79.47/11.97 % Runner terminated.
% 79.47/11.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------