Zipperpin---2.1.9999.TMO-Non.f

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC197-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Y1LrgFoRFk true

% Computer : n024.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 : Thu Oct  2 04:58:55 PM UTC 2025

% Result   : Timeout 298.57s 57.96s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC197-1 : TPTP v9.2.0. Released v2.4.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Y1LrgFoRFk true
% 0.13/0.34  % Computer : n024.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 : Wed Oct  1 17:15:38 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.54/0.64  % Total configuration time : 435
% 0.54/0.64  % Estimated wc time : 1092
% 0.54/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.68  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 270.51/50.65  % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 270.65/50.72  % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 270.65/50.73  % /export/starexec/sandbox/solver/bin/fo/fo8.sh running for 50s
% 298.57/57.96  % Solved by fo/fo8.sh.
% 298.57/57.96  % done 3972 iterations in 7.032s
% 298.57/57.96  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 298.57/57.96  % SZS output start Refutation
% 298.57/57.96  thf(nil_type, type, nil: $i).
% 298.57/57.96  thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 298.57/57.96  thf(cons_type, type, cons: $i > $i > $i).
% 298.57/57.96  thf(sk9_type, type, sk9: $i).
% 298.57/57.96  thf(sk2_type, type, sk2: $i).
% 298.57/57.96  thf(sk8_type, type, sk8: $i).
% 298.57/57.96  thf(skaf45_type, type, skaf45: $i > $i > $i).
% 298.57/57.96  thf(sk6_type, type, sk6: $i).
% 298.57/57.96  thf(sk4_type, type, sk4: $i).
% 298.57/57.96  thf(tl_type, type, tl: $i > $i).
% 298.57/57.96  thf(hd_type, type, hd: $i > $i).
% 298.57/57.96  thf(ssItem_type, type, ssItem: $i > $o).
% 298.57/57.96  thf(skaf46_type, type, skaf46: $i > $i > $i).
% 298.57/57.96  thf(skaf44_type, type, skaf44: $i > $i).
% 298.57/57.96  thf(sk5_type, type, sk5: $i).
% 298.57/57.96  thf(rearsegP_type, type, rearsegP: $i > $i > $o).
% 298.57/57.96  thf(sk3_type, type, sk3: $i).
% 298.57/57.96  thf(neq_type, type, neq: $i > $i > $o).
% 298.57/57.96  thf(app_type, type, app: $i > $i > $i).
% 298.57/57.96  thf(ssList_type, type, ssList: $i > $o).
% 298.57/57.96  thf(sk7_type, type, sk7: $i).
% 298.57/57.96  thf(sk1_type, type, sk1: $i).
% 298.57/57.96  thf(singletonP_type, type, singletonP: $i > $o).
% 298.57/57.96  thf(segmentP_type, type, segmentP: $i > $i > $o).
% 298.57/57.96  thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 298.57/57.96  thf(zip_derived_cl55, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) |  (segmentP @ X0 @ nil))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause56])).
% 298.57/57.96  thf(co1_7, conjecture, (~( segmentP @ sk4 @ sk3 ))).
% 298.57/57.96  thf(zf_stmt_0, negated_conjecture, (segmentP @ sk4 @ sk3),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_7])).
% 298.57/57.96  thf(zip_derived_cl191, plain, ( (segmentP @ sk4 @ sk3)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_0])).
% 298.57/57.96  thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 298.57/57.96  thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_5])).
% 298.57/57.96  thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_1])).
% 298.57/57.96  thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 298.57/57.96  thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_6])).
% 298.57/57.96  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_2])).
% 298.57/57.96  thf(zip_derived_cl202, plain, ( (segmentP @ sk2 @ sk1)),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 298.57/57.96  thf(clause127, axiom,
% 298.57/57.96    (( ~( segmentP @ U @ V ) ) | ( ~( segmentP @ V @ U ) ) | 
% 298.57/57.96     ( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( V ) = ( U ) ))).
% 298.57/57.96  thf(zip_derived_cl126, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (segmentP @ X0 @ X1)
% 298.57/57.96          | ~ (segmentP @ X1 @ X0)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((X1) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause127])).
% 298.57/57.96  thf(zip_derived_cl1170, plain,
% 298.57/57.96      ((~ (segmentP @ sk1 @ sk2)
% 298.57/57.96        | ~ (ssList @ sk2)
% 298.57/57.96        | ~ (ssList @ sk1)
% 298.57/57.96        | ((sk1) = (sk2)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl202, zip_derived_cl126])).
% 298.57/57.96  thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 298.57/57.96  thf(zf_stmt_3, negated_conjecture, (ssList @ sk2),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_2])).
% 298.57/57.96  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_3])).
% 298.57/57.96  thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 298.57/57.96  thf(zf_stmt_4, negated_conjecture, (ssList @ sk1),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_1])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl1177, plain,
% 298.57/57.96      ((~ (segmentP @ sk1 @ sk2) | ((sk1) = (sk2)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl1170, zip_derived_cl186, zip_derived_cl185])).
% 298.57/57.96  thf(clause86, axiom,
% 298.57/57.96    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(clause100, axiom,
% 298.57/57.96    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) | 
% 298.57/57.96     ( ( V ) = ( U ) ))).
% 298.57/57.96  thf(zip_derived_cl99, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (neq @ X1 @ X0) | ((X1) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause100])).
% 298.57/57.96  thf(co1_15, conjecture,
% 298.57/57.96    (~( ( ~( neq @ sk4 @ nil ) ) | ( singletonP @ sk3 ) ))).
% 298.57/57.96  thf(zf_stmt_5, negated_conjecture,
% 298.57/57.96    (( ~( neq @ sk4 @ nil ) ) | ( singletonP @ sk3 )),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_15])).
% 298.57/57.96  thf(zip_derived_cl199, plain, ((~ (neq @ sk4 @ nil) |  (singletonP @ sk3))),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_5])).
% 298.57/57.96  thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_1])).
% 298.57/57.96  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_2])).
% 298.57/57.96  thf(zip_derived_cl203, plain, ((~ (neq @ sk2 @ nil) |  (singletonP @ sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl199, zip_derived_cl189, zip_derived_cl190])).
% 298.57/57.96  thf(zip_derived_cl460, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ~ (ssList @ sk2)
% 298.57/57.96        | ~ (ssList @ nil)
% 298.57/57.96        |  (singletonP @ sk1))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl203])).
% 298.57/57.96  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_3])).
% 298.57/57.96  thf(clause8, axiom, (ssList @ nil)).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl463, plain, ((((sk2) = (nil)) |  (singletonP @ sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl460, zip_derived_cl186, zip_derived_cl7])).
% 298.57/57.96  thf(clause101, axiom,
% 298.57/57.96    (( ~( singletonP @ U ) ) | ( ~( ssList @ U ) ) | 
% 298.57/57.96     ( ( cons @ ( skaf44 @ U ) @ nil ) = ( U ) ))).
% 298.57/57.96  thf(zip_derived_cl100, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (singletonP @ X0)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause101])).
% 298.57/57.96  thf(clause96, axiom,
% 298.57/57.96    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | 
% 298.57/57.96     ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 298.57/57.96  thf(zip_derived_cl95, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause96])).
% 298.57/57.96  thf(zip_derived_cl531, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (singletonP @ X0)
% 298.57/57.96          | ~ (ssItem @ (skaf44 @ X0))
% 298.57/57.96          | ~ (ssList @ nil)
% 298.57/57.96          | ((tl @ X0) = (nil)))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl95])).
% 298.57/57.96  thf(clause47, axiom, (ssItem @ ( skaf44 @ U ))).
% 298.57/57.96  thf(zip_derived_cl46, plain, (![X0 : $i]:  (ssItem @ (skaf44 @ X0))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause47])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl532, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (singletonP @ X0) | ((tl @ X0) = (nil)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl531, zip_derived_cl46, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl536, plain,
% 298.57/57.96      ((((sk2) = (nil)) | ~ (ssList @ sk1) | ((tl @ sk1) = (nil)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl463, zip_derived_cl532])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl537, plain, ((((sk2) = (nil)) | ((tl @ sk1) = (nil)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl536, zip_derived_cl185])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(clause85, axiom,
% 298.57/57.96    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(clause149, axiom,
% 298.57/57.96    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | 
% 298.57/57.96     ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(clause120, axiom,
% 298.57/57.96    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | 
% 298.57/57.96     ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 298.57/57.96  thf(zip_derived_cl119, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause120])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(co1_13, conjecture,
% 298.57/57.96    (( app @
% 298.57/57.96       ( app @
% 298.57/57.96         ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk9 ) @ 
% 298.57/57.96         ( cons @ sk6 @ nil ) ) @ 
% 298.57/57.96       sk8 ) !=
% 298.57/57.96     ( sk1 ))).
% 298.57/57.96  thf(zf_stmt_6, negated_conjecture,
% 298.57/57.96    (( app @
% 298.57/57.96       ( app @
% 298.57/57.96         ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk9 ) @ 
% 298.57/57.96         ( cons @ sk6 @ nil ) ) @ 
% 298.57/57.96       sk8 ) =
% 298.57/57.96     ( sk1 )),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_13])).
% 298.57/57.96  thf(zip_derived_cl197, plain,
% 298.57/57.96      (((app @ 
% 298.57/57.96         (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96          (cons @ sk6 @ nil)) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_6])).
% 298.57/57.96  thf(zip_derived_cl2113, plain,
% 298.57/57.96      ((~ (ssList @ sk7)
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96        | ~ (ssList @ sk9)
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk9)) @ 
% 298.57/57.96             (cons @ sk6 @ nil)) @ 
% 298.57/57.96            sk8) = (sk1)))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl197])).
% 298.57/57.96  thf(co1_10, conjecture, (~( ssList @ sk7 ))).
% 298.57/57.96  thf(zf_stmt_7, negated_conjecture, (ssList @ sk7),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_10])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(co1_12, conjecture, (~( ssList @ sk9 ))).
% 298.57/57.96  thf(zf_stmt_8, negated_conjecture, (ssList @ sk9),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_12])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl2191, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk9)) @ 
% 298.57/57.96             (cons @ sk6 @ nil)) @ 
% 298.57/57.96            sk8) = (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2113, zip_derived_cl194, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl2196, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk9)) @ 
% 298.57/57.96             (cons @ sk6 @ nil)) @ 
% 298.57/57.96            sk8) = (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2191])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(co1_8, conjecture, (~( ssItem @ sk5 ))).
% 298.57/57.96  thf(zf_stmt_9, negated_conjecture, (ssItem @ sk5),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl2197, plain,
% 298.57/57.96      (((app @ 
% 298.57/57.96         (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk9)) @ 
% 298.57/57.96          (cons @ sk6 @ nil)) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2196, zip_derived_cl7, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl2215, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ (app @ sk7 @ (cons @ sk5 @ sk9)) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96            = (sk1)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl119, zip_derived_cl2197])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl2217, plain,
% 298.57/57.96      (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ sk9)) @ (cons @ sk6 @ nil)) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2215, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl2250, plain,
% 298.57/57.96      ((~ (ssList @ sk7)
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ sk9))
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil))) @ sk8)
% 298.57/57.96            = (sk1)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl148, zip_derived_cl2217])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl2251, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ sk9))
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil))) @ sk8)
% 298.57/57.96            = (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl2250, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl2287, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil))) @ sk8)
% 298.57/57.96            = (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2251])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl2288, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil))) @ sk8)
% 298.57/57.96            = (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2287, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl2289, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil))) @ sk8)
% 298.57/57.96            = (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2288])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(co1_9, conjecture, (~( ssItem @ sk6 ))).
% 298.57/57.96  thf(zf_stmt_10, negated_conjecture, (ssItem @ sk6),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_9])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl2290, plain,
% 298.57/57.96      (((app @ (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil))) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2289, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(zip_derived_cl2306, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssList @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)))
% 298.57/57.96        | ~ (ssList @ sk7)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl2290, zip_derived_cl148])).
% 298.57/57.96  thf(co1_11, conjecture, (~( ssList @ sk8 ))).
% 298.57/57.96  thf(zf_stmt_11, negated_conjecture, (ssList @ sk8),
% 298.57/57.96    inference('cnf.neg', [status(esa)], [co1_11])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl2322, plain,
% 298.57/57.96      ((~ (ssList @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2306, zip_derived_cl195, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl2323, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ sk9))
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl2322])).
% 298.57/57.96  thf(zip_derived_cl2335, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2323])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl2336, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2335, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl2337, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2336])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl2338, plain,
% 298.57/57.96      (((sk1)
% 298.57/57.96         = (app @ sk7 @ 
% 298.57/57.96            (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2337, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(clause133, axiom,
% 298.57/57.96    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) | 
% 298.57/57.96     ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 298.57/57.96  thf(zip_derived_cl132, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((nil) = (X1))
% 298.57/57.96          | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause133])).
% 298.57/57.96  thf(zip_derived_cl2341, plain,
% 298.57/57.96      ((~ (ssList @ 
% 298.57/57.96           (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8))
% 298.57/57.96        | ~ (ssList @ sk7)
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((tl @ sk1)
% 298.57/57.96            = (app @ (tl @ sk7) @ 
% 298.57/57.96               (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl2338, zip_derived_cl132])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl2357, plain,
% 298.57/57.96      ((~ (ssList @ 
% 298.57/57.96           (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((tl @ sk1)
% 298.57/57.96            = (app @ (tl @ sk7) @ 
% 298.57/57.96               (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl2341, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl2338, plain,
% 298.57/57.96      (((sk1)
% 298.57/57.96         = (app @ sk7 @ 
% 298.57/57.96            (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2337, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(clause157, axiom,
% 298.57/57.96    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | 
% 298.57/57.96     ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 298.57/57.96  thf(zip_derived_cl156, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause157])).
% 298.57/57.96  thf(zip_derived_cl119, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause120])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(zip_derived_cl2338, plain,
% 298.57/57.96      (((sk1)
% 298.57/57.96         = (app @ sk7 @ 
% 298.57/57.96            (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2337, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl2353, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ sk9))
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ~ (ssList @ sk8)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (app @ (cons @ sk5 @ sk9) @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl148, zip_derived_cl2338])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl2354, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ sk9))
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (app @ (cons @ sk5 @ sk9) @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl2353, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl2371, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (app @ (cons @ sk5 @ sk9) @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2354])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl2372, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (app @ (cons @ sk5 @ sk9) @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2371, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl2373, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (app @ (cons @ sk5 @ sk9) @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2372])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl2374, plain,
% 298.57/57.96      (((sk1)
% 298.57/57.96         = (app @ sk7 @ 
% 298.57/57.96            (app @ (cons @ sk5 @ sk9) @ (app @ (cons @ sk6 @ nil) @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2373, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl2389, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl119, zip_derived_cl2374])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl2390, plain,
% 298.57/57.96      (((sk1) = (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2389, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl2544, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl156, zip_derived_cl2390])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl2594, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2544, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl2655, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2594])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl2656, plain,
% 298.57/57.96      (((sk1) = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2655, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(clause61, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ U ))).
% 298.57/57.96  thf(zip_derived_cl60, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) |  (frontsegP @ X0 @ X0))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause61])).
% 298.57/57.96  thf(clause137, axiom,
% 298.57/57.96    (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | 
% 298.57/57.96     ( ~( ssList @ U ) ) | ( frontsegP @ ( app @ U @ W ) @ V ))).
% 298.57/57.96  thf(zip_derived_cl136, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (frontsegP @ X0 @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          |  (frontsegP @ (app @ X0 @ X2) @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause137])).
% 298.57/57.96  thf(zip_derived_cl1623, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          |  (frontsegP @ (app @ X0 @ X1) @ X0))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl136])).
% 298.57/57.96  thf(zip_derived_cl1626, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         ( (frontsegP @ (app @ X0 @ X1) @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl1623])).
% 298.57/57.96  thf(zip_derived_cl10285, plain,
% 298.57/57.96      (( (frontsegP @ sk1 @ sk7)
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96        | ~ (ssList @ sk7))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl2656, zip_derived_cl1626])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl10358, plain,
% 298.57/57.96      (( (frontsegP @ sk1 @ sk7)
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10285, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl10406, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        |  (frontsegP @ sk1 @ sk7))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl10358])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl10407, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        |  (frontsegP @ sk1 @ sk7))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10406, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl10408, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        |  (frontsegP @ sk1 @ sk7))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl10407])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl10409, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ sk8)) |  (frontsegP @ sk1 @ sk7))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10408, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl10410, plain,
% 298.57/57.96      ((~ (ssList @ sk8) | ~ (ssItem @ sk6) |  (frontsegP @ sk1 @ sk7))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl10409])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl10411, plain, ( (frontsegP @ sk1 @ sk7)),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10410, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(clause132, axiom,
% 298.57/57.96    (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) | 
% 298.57/57.96     ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 298.57/57.96  thf(zip_derived_cl131, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (frontsegP @ X0 @ X1)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause132])).
% 298.57/57.96  thf(zip_derived_cl10413, plain,
% 298.57/57.96      ((~ (ssList @ sk7)
% 298.57/57.96        | ~ (ssList @ sk1)
% 298.57/57.96        | ((app @ sk7 @ (skaf45 @ sk1 @ sk7)) = (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl10411, zip_derived_cl131])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl10417, plain,
% 298.57/57.96      (((app @ sk7 @ (skaf45 @ sk1 @ sk7)) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10413, zip_derived_cl194, zip_derived_cl185])).
% 298.57/57.96  thf(clause150, axiom,
% 298.57/57.96    (( ( app @ U @ V ) != ( app @ U @ W ) ) | ( ~( ssList @ V ) ) | 
% 298.57/57.96     ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( ( V ) = ( W ) ))).
% 298.57/57.96  thf(zip_derived_cl149, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (((app @ X0 @ X2) != (app @ X0 @ X1))
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((X2) = (X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause150])).
% 298.57/57.96  thf(zip_derived_cl10429, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((app @ sk7 @ X0) != (sk1))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ sk7)
% 298.57/57.96          | ~ (ssList @ (skaf45 @ sk1 @ sk7))
% 298.57/57.96          | ((X0) = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl10417, zip_derived_cl149])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 298.57/57.96  thf(zip_derived_cl50, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:  (ssList @ (skaf45 @ X0 @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause51])).
% 298.57/57.96  thf(zip_derived_cl10450, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((app @ sk7 @ X0) != (sk1))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((X0) = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10429, zip_derived_cl194, zip_derived_cl50])).
% 298.57/57.96  thf(zip_derived_cl12535, plain,
% 298.57/57.96      ((((sk1) != (sk1))
% 298.57/57.96        | ~ (ssList @ 
% 298.57/57.96             (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8))
% 298.57/57.96        | ((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96            = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl2338, zip_derived_cl10450])).
% 298.57/57.96  thf(zip_derived_cl12574, plain,
% 298.57/57.96      ((((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96          = (skaf45 @ sk1 @ sk7))
% 298.57/57.96        | ~ (ssList @ 
% 298.57/57.96             (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl12535])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl2656, plain,
% 298.57/57.96      (((sk1) = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2655, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl10450, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((app @ sk7 @ X0) != (sk1))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((X0) = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10429, zip_derived_cl194, zip_derived_cl50])).
% 298.57/57.96  thf(zip_derived_cl12516, plain,
% 298.57/57.96      ((((sk1) != (sk1))
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl2656, zip_derived_cl10450])).
% 298.57/57.96  thf(zip_derived_cl12561, plain,
% 298.57/57.96      ((((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) = (skaf45 @ sk1 @ sk7))
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl12516])).
% 298.57/57.96  thf(zip_derived_cl12595, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl12561])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl12596, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12595, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl12597, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl12596])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl12598, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12597, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl12599, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl12598])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl12600, plain,
% 298.57/57.96      (((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) = (skaf45 @ sk1 @ sk7))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12599, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl13394, plain,
% 298.57/57.96      ((((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96          = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96        | ~ (ssList @ 
% 298.57/57.96             (app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12574, zip_derived_cl12600])).
% 298.57/57.96  thf(zip_derived_cl13395, plain,
% 298.57/57.96      ((~ (ssList @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)))
% 298.57/57.96        | ~ (ssList @ sk8)
% 298.57/57.96        | ((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl13394])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl13398, plain,
% 298.57/57.96      ((~ (ssList @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)))
% 298.57/57.96        | ((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl13395, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl13401, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ sk9))
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl13398])).
% 298.57/57.96  thf(zip_derived_cl13404, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl13401])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl13405, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl13404, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl13406, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl13405])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl13407, plain,
% 298.57/57.96      (((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96         = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl13406, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl12600, plain,
% 298.57/57.96      (((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) = (skaf45 @ sk1 @ sk7))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12599, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl50, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:  (ssList @ (skaf45 @ X0 @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause51])).
% 298.57/57.96  thf(zip_derived_cl12603, plain,
% 298.57/57.96      ( (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl12600, zip_derived_cl50])).
% 298.57/57.96  thf(zip_derived_cl13407, plain,
% 298.57/57.96      (((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96         = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl13406, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl22201, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((tl @ sk1)
% 298.57/57.96            = (app @ (tl @ sk7) @ 
% 298.57/57.96               (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2357, zip_derived_cl13407, zip_derived_cl12603, 
% 298.57/57.96                 zip_derived_cl13407])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl156, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause157])).
% 298.57/57.96  thf(zip_derived_cl13407, plain,
% 298.57/57.96      (((app @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)) @ sk8)
% 298.57/57.96         = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl13406, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl13438, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((app @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))) @ sk8)
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl156, zip_derived_cl13407])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl13439, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((app @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))) @ sk8)
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl13438, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl13469, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((app @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))) @ sk8)
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl13439])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl13470, plain,
% 298.57/57.96      (((app @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))) @ sk8)
% 298.57/57.96         = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl13469, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 298.57/57.96  thf(zip_derived_cl73, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause74])).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(zip_derived_cl2123, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ nil)
% 298.57/57.96          | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl148])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl2146, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl2123, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl2147, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1)))
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl2146])).
% 298.57/57.96  thf(zip_derived_cl13967, plain,
% 298.57/57.96      ((((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96          = (app @ nil @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))
% 298.57/57.96        | ~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl13470, zip_derived_cl2147])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl14064, plain,
% 298.57/57.96      ((((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96          = (app @ nil @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl13967, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl14247, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (cons @ sk6 @ nil)))
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (app @ nil @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl14064])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl14248, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (cons @ sk6 @ nil)))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (app @ nil @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl14247, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl14249, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (app @ nil @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl14248])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl14250, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (app @ nil @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl14249, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl14251, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (app @ nil @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl14250])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl14252, plain,
% 298.57/57.96      (((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96         = (app @ nil @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl14251, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(clause119, axiom,
% 298.57/57.96    (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) | 
% 298.57/57.96     ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 298.57/57.96  thf(zip_derived_cl118, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((app @ X0 @ X1) != (nil))
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((nil) = (X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause119])).
% 298.57/57.96  thf(zip_derived_cl2090, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X2)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ X2 @ (app @ X1 @ X0)) != (nil))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ (app @ X2 @ X1))
% 298.57/57.96          | ((nil) = (X0)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl118])).
% 298.57/57.96  thf(zip_derived_cl2168, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (((nil) = (X0))
% 298.57/57.96          | ~ (ssList @ (app @ X2 @ X1))
% 298.57/57.96          | ((app @ X2 @ (app @ X1 @ X0)) != (nil))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl2090])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl17574, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X2)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ X2 @ (app @ X1 @ X0)) != (nil))
% 298.57/57.96          | ((nil) = (X0)))),
% 298.57/57.96      inference('clc', [status(thm)], [zip_derived_cl2168, zip_derived_cl84])).
% 298.57/57.96  thf(zip_derived_cl17619, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ nil)
% 298.57/57.96          | ~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96          | ((app @ X0 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96              != (nil))
% 298.57/57.96          | ((nil) = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl14252, zip_derived_cl17574])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl12603, plain,
% 298.57/57.96      ( (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl12600, zip_derived_cl50])).
% 298.57/57.96  thf(zip_derived_cl17765, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ((app @ X0 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96              != (nil))
% 298.57/57.96          | ((nil) = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl17619, zip_derived_cl7, zip_derived_cl12603])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl156, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause157])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl156, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause157])).
% 298.57/57.96  thf(zip_derived_cl2374, plain,
% 298.57/57.96      (((sk1)
% 298.57/57.96         = (app @ sk7 @ 
% 298.57/57.96            (app @ (cons @ sk5 @ sk9) @ (app @ (cons @ sk6 @ nil) @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2373, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl2546, plain,
% 298.57/57.96      ((~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk8))
% 298.57/57.96        | ~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8))))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl156, zip_derived_cl2374])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl2596, plain,
% 298.57/57.96      ((~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk8))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8))))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2546, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl2906, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ~ (ssList @ sk8)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl2596])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl2909, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8))))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl2906, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl2913, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ sk7 @ 
% 298.57/57.96               (cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2909])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl2914, plain,
% 298.57/57.96      (((sk1)
% 298.57/57.96         = (app @ sk7 @ 
% 298.57/57.96            (cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2913, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl10450, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((app @ sk7 @ X0) != (sk1))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((X0) = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10429, zip_derived_cl194, zip_derived_cl50])).
% 298.57/57.96  thf(zip_derived_cl12517, plain,
% 298.57/57.96      ((((sk1) != (sk1))
% 298.57/57.96        | ~ (ssList @ 
% 298.57/57.96             (cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8))))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96            = (skaf45 @ sk1 @ sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl2914, zip_derived_cl10450])).
% 298.57/57.96  thf(zip_derived_cl12562, plain,
% 298.57/57.96      ((((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96          = (skaf45 @ sk1 @ sk7))
% 298.57/57.96        | ~ (ssList @ 
% 298.57/57.96             (cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl12517])).
% 298.57/57.96  thf(zip_derived_cl12600, plain,
% 298.57/57.96      (((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) = (skaf45 @ sk1 @ sk7))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12599, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl12676, plain,
% 298.57/57.96      ((((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96          = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96        | ~ (ssList @ 
% 298.57/57.96             (cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12562, zip_derived_cl12600])).
% 298.57/57.96  thf(zip_derived_cl12677, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl12676])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl12680, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12677, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl12683, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk8))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl12680])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl12686, plain,
% 298.57/57.96      ((~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk8))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12683, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl12689, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ~ (ssList @ sk8)
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl12686])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl12692, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12689, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl12695, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl12692])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl12696, plain,
% 298.57/57.96      (((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96         = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12695, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl12737, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ (app @ nil @ sk8))))
% 298.57/57.96            = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl156, zip_derived_cl12696])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl12739, plain,
% 298.57/57.96      (((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ (app @ nil @ sk8))))
% 298.57/57.96         = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12737, zip_derived_cl195, zip_derived_cl7, 
% 298.57/57.96                 zip_derived_cl193])).
% 298.57/57.96  thf(clause98, axiom,
% 298.57/57.96    (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) | 
% 298.57/57.96     ( ~( ssList @ V ) ))).
% 298.57/57.96  thf(zip_derived_cl97, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause98])).
% 298.57/57.96  thf(zip_derived_cl12786, plain,
% 298.57/57.96      ((((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) != (nil))
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ~ (ssList @ (app @ sk9 @ (cons @ sk6 @ (app @ nil @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl12739, zip_derived_cl97])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl12824, plain,
% 298.57/57.96      ((((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) != (nil))
% 298.57/57.96        | ~ (ssList @ (app @ sk9 @ (cons @ sk6 @ (app @ nil @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12786, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl60, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) |  (frontsegP @ X0 @ X0))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause61])).
% 298.57/57.96  thf(zip_derived_cl131, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (frontsegP @ X0 @ X1)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause132])).
% 298.57/57.96  thf(zip_derived_cl1340, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ X0 @ (skaf45 @ X0 @ X0)) = (X0)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl131])).
% 298.57/57.96  thf(zip_derived_cl1343, plain,
% 298.57/57.96      (![X0 : $i]: (((app @ X0 @ (skaf45 @ X0 @ X0)) = (X0)) | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl1340])).
% 298.57/57.96  thf(zip_derived_cl197, plain,
% 298.57/57.96      (((app @ 
% 298.57/57.96         (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96          (cons @ sk6 @ nil)) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_6])).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(zip_derived_cl2132, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ sk8)
% 298.57/57.96          | ~ (ssList @ 
% 298.57/57.96               (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96                (cons @ sk6 @ nil)))
% 298.57/57.96          | ((app @ sk1 @ X0)
% 298.57/57.96              = (app @ 
% 298.57/57.96                 (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96                  (cons @ sk6 @ nil)) @ 
% 298.57/57.96                 (app @ sk8 @ X0))))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl148])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl2155, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ 
% 298.57/57.96               (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96                (cons @ sk6 @ nil)))
% 298.57/57.96          | ((app @ sk1 @ X0)
% 298.57/57.96              = (app @ 
% 298.57/57.96                 (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96                  (cons @ sk6 @ nil)) @ 
% 298.57/57.96                 (app @ sk8 @ X0))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl2132, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl156, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause157])).
% 298.57/57.96  thf(zip_derived_cl2290, plain,
% 298.57/57.96      (((app @ (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil))) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2289, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl2540, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))) @ sk8)
% 298.57/57.96            = (sk1)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl156, zip_derived_cl2290])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl2590, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))) @ sk8)
% 298.57/57.96            = (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2540, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl2782, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((app @ 
% 298.57/57.96            (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))) @ sk8)
% 298.57/57.96            = (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2590])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl2783, plain,
% 298.57/57.96      (((app @ (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2782, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl197, plain,
% 298.57/57.96      (((app @ 
% 298.57/57.96         (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96          (cons @ sk6 @ nil)) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_6])).
% 298.57/57.96  thf(clause151, axiom,
% 298.57/57.96    (( ( app @ U @ V ) != ( app @ W @ V ) ) | ( ~( ssList @ U ) ) | 
% 298.57/57.96     ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( ( U ) = ( W ) ))).
% 298.57/57.96  thf(zip_derived_cl150, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (((app @ X2 @ X1) != (app @ X0 @ X1))
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((X2) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause151])).
% 298.57/57.96  thf(zip_derived_cl398, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((sk1) != (app @ X0 @ sk8))
% 298.57/57.96          | ~ (ssList @ 
% 298.57/57.96               (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96                (cons @ sk6 @ nil)))
% 298.57/57.96          | ~ (ssList @ sk8)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96              (cons @ sk6 @ nil)) = (X0)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl197, zip_derived_cl150])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl410, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((sk1) != (app @ X0 @ sk8))
% 298.57/57.96          | ~ (ssList @ 
% 298.57/57.96               (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96                (cons @ sk6 @ nil)))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96              (cons @ sk6 @ nil)) = (X0)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl398, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl433, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9))
% 298.57/57.96          | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96          | ((sk1) != (app @ X0 @ sk8))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96              (cons @ sk6 @ nil)) = (X0)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl410])).
% 298.57/57.96  thf(zip_derived_cl434, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ nil)
% 298.57/57.96          | ~ (ssItem @ sk6)
% 298.57/57.96          | ~ (ssList @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9))
% 298.57/57.96          | ((sk1) != (app @ X0 @ sk8))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96              (cons @ sk6 @ nil)) = (X0)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl433])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl435, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9))
% 298.57/57.96          | ((sk1) != (app @ X0 @ sk8))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96              (cons @ sk6 @ nil)) = (X0)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl434, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl436, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96          | ~ (ssList @ sk9)
% 298.57/57.96          | ((sk1) != (app @ X0 @ sk8))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96              (cons @ sk6 @ nil)) = (X0)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl435])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl437, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96          | ((sk1) != (app @ X0 @ sk8))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96              (cons @ sk6 @ nil)) = (X0)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl436, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl438, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ sk7)
% 298.57/57.96          | ~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96          | ((sk1) != (app @ X0 @ sk8))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96              (cons @ sk6 @ nil)) = (X0)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl437])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl439, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96          | ((sk1) != (app @ X0 @ sk8))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96              (cons @ sk6 @ nil)) = (X0)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl438, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl440, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ nil)
% 298.57/57.96          | ~ (ssItem @ sk5)
% 298.57/57.96          | ((sk1) != (app @ X0 @ sk8))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96              (cons @ sk6 @ nil)) = (X0)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl439])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl441, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((sk1) != (app @ X0 @ sk8))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96              (cons @ sk6 @ nil)) = (X0)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl440, zip_derived_cl7, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl2799, plain,
% 298.57/57.96      ((((sk1) != (sk1))
% 298.57/57.96        | ~ (ssList @ 
% 298.57/57.96             (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))
% 298.57/57.96        | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96            (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl2783, zip_derived_cl441])).
% 298.57/57.96  thf(zip_derived_cl2816, plain,
% 298.57/57.96      ((((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96          (cons @ sk6 @ nil))
% 298.57/57.96          = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))
% 298.57/57.96        | ~ (ssList @ 
% 298.57/57.96             (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl2799])).
% 298.57/57.96  thf(zip_derived_cl6325, plain,
% 298.57/57.96      ((~ (ssList @ sk7)
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))
% 298.57/57.96        | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96            (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl2816])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl6326, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))
% 298.57/57.96        | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96            (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl6325, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl6327, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (cons @ sk6 @ nil)))
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96            (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl6326])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl6328, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (cons @ sk6 @ nil)))
% 298.57/57.96        | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96            (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl6327, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl6329, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96            (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl6328])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl6330, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96            (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl6329, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl6331, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96            (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl6330])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl6332, plain,
% 298.57/57.96      (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96         (cons @ sk6 @ nil))
% 298.57/57.96         = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl6331, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl119, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause120])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(zip_derived_cl6332, plain,
% 298.57/57.96      (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96         (cons @ sk6 @ nil))
% 298.57/57.96         = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl6331, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl6368, plain,
% 298.57/57.96      ((~ (ssList @ sk7)
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96        | ~ (ssList @ sk9)
% 298.57/57.96        | ((app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk9)) @ 
% 298.57/57.96            (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl148, zip_derived_cl6332])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl6370, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96        | ((app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk9)) @ 
% 298.57/57.96            (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl6368, zip_derived_cl194, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl6380, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk9)) @ 
% 298.57/57.96            (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl6370])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl6381, plain,
% 298.57/57.96      (((app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk9)) @ 
% 298.57/57.96         (cons @ sk6 @ nil))
% 298.57/57.96         = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl6380, zip_derived_cl7, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl6413, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((app @ (app @ sk7 @ (cons @ sk5 @ sk9)) @ (cons @ sk6 @ nil))
% 298.57/57.96            = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl119, zip_derived_cl6381])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl6415, plain,
% 298.57/57.96      (((app @ (app @ sk7 @ (cons @ sk5 @ sk9)) @ (cons @ sk6 @ nil))
% 298.57/57.96         = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl6413, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(zip_derived_cl6453, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ sk9))
% 298.57/57.96        | ~ (ssList @ sk7)
% 298.57/57.96        | ((app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))
% 298.57/57.96            = (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl6415, zip_derived_cl148])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl6467, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ sk9))
% 298.57/57.96        | ((app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))
% 298.57/57.96            = (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl6453, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl6581, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ sk9))
% 298.57/57.96        | ((app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))
% 298.57/57.96            = (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl6467])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl6582, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ sk9))
% 298.57/57.96        | ((app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))
% 298.57/57.96            = (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl6581, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl6583, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))
% 298.57/57.96            = (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl6582])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl6584, plain,
% 298.57/57.96      (((app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))
% 298.57/57.96         = (app @ sk7 @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl6583, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl6590, plain,
% 298.57/57.96      ((~ (ssList @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)))
% 298.57/57.96        | ~ (ssList @ sk7)
% 298.57/57.96        |  (ssList @ 
% 298.57/57.96            (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl6584, zip_derived_cl84])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl6608, plain,
% 298.57/57.96      ((~ (ssList @ (app @ (cons @ sk5 @ sk9) @ (cons @ sk6 @ nil)))
% 298.57/57.96        |  (ssList @ 
% 298.57/57.96            (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl6590, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl6659, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ sk9))
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        |  (ssList @ 
% 298.57/57.96            (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl6608])).
% 298.57/57.96  thf(zip_derived_cl8044, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        |  (ssList @ 
% 298.57/57.96            (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl6659])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl8045, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        |  (ssList @ 
% 298.57/57.96            (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl8044, zip_derived_cl196, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl8046, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        |  (ssList @ 
% 298.57/57.96            (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl8045])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl8047, plain,
% 298.57/57.96      ( (ssList @ (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl8046, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl6332, plain,
% 298.57/57.96      (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96         (cons @ sk6 @ nil))
% 298.57/57.96         = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl6331, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl15238, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ((app @ sk1 @ X0)
% 298.57/57.96              = (app @ 
% 298.57/57.96                 (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))) @ 
% 298.57/57.96                 (app @ sk8 @ X0))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2155, zip_derived_cl6332, zip_derived_cl8047, 
% 298.57/57.96                 zip_derived_cl6332])).
% 298.57/57.96  thf(zip_derived_cl15268, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssList @ (skaf45 @ sk8 @ sk8))
% 298.57/57.96        | ((app @ sk1 @ (skaf45 @ sk8 @ sk8))
% 298.57/57.96            = (app @ 
% 298.57/57.96               (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))) @ 
% 298.57/57.96               sk8)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl1343, zip_derived_cl15238])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl50, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:  (ssList @ (skaf45 @ X0 @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause51])).
% 298.57/57.96  thf(zip_derived_cl2783, plain,
% 298.57/57.96      (((app @ (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2782, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl15273, plain,
% 298.57/57.96      (((app @ sk1 @ (skaf45 @ sk8 @ sk8)) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl15268, zip_derived_cl195, zip_derived_cl50, 
% 298.57/57.96                 zip_derived_cl2783])).
% 298.57/57.96  thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 298.57/57.96  thf(zip_derived_cl72, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause73])).
% 298.57/57.96  thf(zip_derived_cl149, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (((app @ X0 @ X2) != (app @ X0 @ X1))
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((X2) = (X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause150])).
% 298.57/57.96  thf(zip_derived_cl332, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ((X0) != (app @ X0 @ X1))
% 298.57/57.96          | ~ (ssList @ nil)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((nil) = (X1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl149])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl342, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ((X0) != (app @ X0 @ X1))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((nil) = (X1)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl332, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl343, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((nil) = (X1))
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((X0) != (app @ X0 @ X1))
% 298.57/57.96          | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl342])).
% 298.57/57.96  thf(zip_derived_cl15316, plain,
% 298.57/57.96      ((((nil) = (skaf45 @ sk8 @ sk8))
% 298.57/57.96        | ~ (ssList @ (skaf45 @ sk8 @ sk8))
% 298.57/57.96        | ((sk1) != (sk1))
% 298.57/57.96        | ~ (ssList @ sk1))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl15273, zip_derived_cl343])).
% 298.57/57.96  thf(zip_derived_cl50, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:  (ssList @ (skaf45 @ X0 @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause51])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl15354, plain,
% 298.57/57.96      ((((nil) = (skaf45 @ sk8 @ sk8)) | ((sk1) != (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl15316, zip_derived_cl50, zip_derived_cl185])).
% 298.57/57.96  thf(zip_derived_cl15355, plain, (((nil) = (skaf45 @ sk8 @ sk8))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl15354])).
% 298.57/57.96  thf(zip_derived_cl1343, plain,
% 298.57/57.96      (![X0 : $i]: (((app @ X0 @ (skaf45 @ X0 @ X0)) = (X0)) | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl1340])).
% 298.57/57.96  thf(zip_derived_cl15387, plain,
% 298.57/57.96      ((((app @ sk8 @ nil) = (sk8)) | ~ (ssList @ sk8))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl15355, zip_derived_cl1343])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl15388, plain, (((app @ sk8 @ nil) = (sk8))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl15387, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl2147, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1)))
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl2146])).
% 298.57/57.96  thf(zip_derived_cl15405, plain,
% 298.57/57.96      ((((sk8) = (app @ nil @ sk8)) | ~ (ssList @ nil) | ~ (ssList @ sk8))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl15388, zip_derived_cl2147])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl15439, plain, (((sk8) = (app @ nil @ sk8))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl15405, zip_derived_cl7, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl15509, plain,
% 298.57/57.96      ((((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) != (nil))
% 298.57/57.96        | ~ (ssList @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12824, zip_derived_cl15439])).
% 298.57/57.96  thf(zip_derived_cl15716, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) != (nil)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl15509])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl15717, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) != (nil)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl15716, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl15718, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) != (nil)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl15717])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl15719, plain,
% 298.57/57.96      (((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) != (nil))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl15718, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl17766, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ((app @ X0 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96              != (nil)))),
% 298.57/57.96      inference('simplify_reflect-', [status(thm)],
% 298.57/57.96                [zip_derived_cl17765, zip_derived_cl15719])).
% 298.57/57.96  thf(zip_derived_cl22246, plain,
% 298.57/57.96      ((((nil) = (sk7)) | ~ (ssList @ (tl @ sk7)) | ((tl @ sk1) != (nil)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl22201, zip_derived_cl17766])).
% 298.57/57.96  thf(zip_derived_cl22301, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ~ (ssList @ (tl @ sk7))
% 298.57/57.96        | ((nil) != (nil)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl537, zip_derived_cl22246])).
% 298.57/57.96  thf(zip_derived_cl22302, plain,
% 298.57/57.96      ((~ (ssList @ (tl @ sk7)) | ((nil) = (sk7)) | ((sk2) = (nil)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl22301])).
% 298.57/57.96  thf(clause58, axiom, (( ~( ssList @ U ) ) | ( rearsegP @ U @ nil ))).
% 298.57/57.96  thf(zip_derived_cl57, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) |  (rearsegP @ X0 @ nil))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause58])).
% 298.57/57.96  thf(clause131, axiom,
% 298.57/57.96    (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) | 
% 298.57/57.96     ( ( app @ ( skaf46 @ U @ V ) @ V ) = ( U ) ))).
% 298.57/57.96  thf(zip_derived_cl130, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (rearsegP @ X0 @ X1)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause131])).
% 298.57/57.96  thf(zip_derived_cl1299, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ nil)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl130])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl1302, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl1299, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl1303, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)) | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl1302])).
% 298.57/57.96  thf(zip_derived_cl72, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause73])).
% 298.57/57.96  thf(zip_derived_cl1756, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ (skaf46 @ X0 @ nil))
% 298.57/57.96          | ((X0) = (skaf46 @ X0 @ nil)))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl1303, zip_derived_cl72])).
% 298.57/57.96  thf(clause50, axiom, (ssList @ ( skaf46 @ U @ V ))).
% 298.57/57.96  thf(zip_derived_cl49, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:  (ssList @ (skaf46 @ X0 @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause50])).
% 298.57/57.96  thf(zip_derived_cl1775, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) | ((X0) = (skaf46 @ X0 @ nil)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl1756, zip_derived_cl49])).
% 298.57/57.96  thf(clause75, axiom,
% 298.57/57.96    (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 298.57/57.96  thf(zip_derived_cl74, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) |  (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause75])).
% 298.57/57.96  thf(zip_derived_cl74, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) |  (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause75])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl2656, plain,
% 298.57/57.96      (((sk1) = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2655, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(clause123, axiom,
% 298.57/57.96    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) | 
% 298.57/57.96     ( ( hd @ ( app @ V @ U ) ) = ( hd @ V ) ))).
% 298.57/57.96  thf(zip_derived_cl122, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((nil) = (X1))
% 298.57/57.96          | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause123])).
% 298.57/57.96  thf(zip_derived_cl2658, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96        | ~ (ssList @ sk7)
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((hd @ sk1) = (hd @ sk7)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl2656, zip_derived_cl122])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl2672, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((hd @ sk1) = (hd @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl2658, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl8894, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((hd @ sk1) = (hd @ sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2672])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl8895, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((hd @ sk1) = (hd @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl8894, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl8896, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((hd @ sk1) = (hd @ sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl8895])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl8897, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((hd @ sk1) = (hd @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl8896, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl8898, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((hd @ sk1) = (hd @ sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl8897])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl8899, plain,
% 298.57/57.96      ((((nil) = (sk7)) | ((hd @ sk1) = (hd @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl8898, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(clause104, axiom,
% 298.57/57.96    (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) | 
% 298.57/57.96     ( ( nil ) = ( U ) ))).
% 298.57/57.96  thf(zip_derived_cl103, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 298.57/57.96          | ((nil) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause104])).
% 298.57/57.96  thf(zip_derived_cl8901, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ~ (ssList @ sk7)
% 298.57/57.96        | ((cons @ (hd @ sk1) @ (tl @ sk7)) = (sk7))
% 298.57/57.96        | ((nil) = (sk7)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl8899, zip_derived_cl103])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl8908, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((cons @ (hd @ sk1) @ (tl @ sk7)) = (sk7))
% 298.57/57.96        | ((nil) = (sk7)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl8901, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl8909, plain,
% 298.57/57.96      ((((cons @ (hd @ sk1) @ (tl @ sk7)) = (sk7)) | ((nil) = (sk7)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl8908])).
% 298.57/57.96  thf(zip_derived_cl463, plain, ((((sk2) = (nil)) |  (singletonP @ sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl460, zip_derived_cl186, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl100, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (singletonP @ X0)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause101])).
% 298.57/57.96  thf(clause97, axiom,
% 298.57/57.96    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | 
% 298.57/57.96     ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 298.57/57.96  thf(zip_derived_cl96, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause97])).
% 298.57/57.96  thf(zip_derived_cl553, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (singletonP @ X0)
% 298.57/57.96          | ~ (ssItem @ (skaf44 @ X0))
% 298.57/57.96          | ~ (ssList @ nil)
% 298.57/57.96          | ((hd @ X0) = (skaf44 @ X0)))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl100, zip_derived_cl96])).
% 298.57/57.96  thf(zip_derived_cl46, plain, (![X0 : $i]:  (ssItem @ (skaf44 @ X0))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause47])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl554, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (singletonP @ X0) | ((hd @ X0) = (skaf44 @ X0)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl553, zip_derived_cl46, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl100, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (singletonP @ X0)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((cons @ (skaf44 @ X0) @ nil) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause101])).
% 298.57/57.96  thf(zip_derived_cl556, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (singletonP @ X0)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (singletonP @ X0)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((cons @ (hd @ X0) @ nil) = (X0)))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl554, zip_derived_cl100])).
% 298.57/57.96  thf(zip_derived_cl557, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((cons @ (hd @ X0) @ nil) = (X0))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (singletonP @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl556])).
% 298.57/57.96  thf(zip_derived_cl567, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((cons @ (hd @ sk1) @ nil) = (sk1))
% 298.57/57.96        | ~ (ssList @ sk1))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl463, zip_derived_cl557])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl568, plain,
% 298.57/57.96      ((((sk2) = (nil)) | ((cons @ (hd @ sk1) @ nil) = (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl567, zip_derived_cl185])).
% 298.57/57.96  thf(zip_derived_cl119, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause120])).
% 298.57/57.96  thf(zip_derived_cl583, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((sk2) = (nil))
% 298.57/57.96          | ~ (ssItem @ (hd @ sk1))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ sk1 @ X0) = (cons @ (hd @ sk1) @ X0)))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl568, zip_derived_cl119])).
% 298.57/57.96  thf(zip_derived_cl463, plain, ((((sk2) = (nil)) |  (singletonP @ sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl460, zip_derived_cl186, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl554, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (singletonP @ X0) | ((hd @ X0) = (skaf44 @ X0)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl553, zip_derived_cl46, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl46, plain, (![X0 : $i]:  (ssItem @ (skaf44 @ X0))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause47])).
% 298.57/57.96  thf(zip_derived_cl555, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (singletonP @ X0) | ~ (ssList @ X0) |  (ssItem @ (hd @ X0)))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl554, zip_derived_cl46])).
% 298.57/57.96  thf(zip_derived_cl561, plain,
% 298.57/57.96      ((((sk2) = (nil)) | ~ (ssList @ sk1) |  (ssItem @ (hd @ sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl463, zip_derived_cl555])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl562, plain, ((((sk2) = (nil)) |  (ssItem @ (hd @ sk1)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl561, zip_derived_cl185])).
% 298.57/57.96  thf(zip_derived_cl629, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((app @ sk1 @ X0) = (cons @ (hd @ sk1) @ X0))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((sk2) = (nil)))),
% 298.57/57.96      inference('clc', [status(thm)], [zip_derived_cl583, zip_derived_cl562])).
% 298.57/57.96  thf(zip_derived_cl11771, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((app @ sk1 @ (tl @ sk7)) = (sk7))
% 298.57/57.96        | ~ (ssList @ (tl @ sk7))
% 298.57/57.96        | ((sk2) = (nil)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl8909, zip_derived_cl629])).
% 298.57/57.96  thf(zip_derived_cl11795, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ~ (ssList @ sk7)
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((app @ sk1 @ (tl @ sk7)) = (sk7))
% 298.57/57.96        | ((sk2) = (nil)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl74, zip_derived_cl11771])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl11796, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((app @ sk1 @ (tl @ sk7)) = (sk7))
% 298.57/57.96        | ((sk2) = (nil)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl11795, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl11797, plain,
% 298.57/57.96      ((((sk2) = (nil)) | ((app @ sk1 @ (tl @ sk7)) = (sk7)) | ((nil) = (sk7)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl11796])).
% 298.57/57.96  thf(zip_derived_cl2147, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1)))
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl2146])).
% 298.57/57.96  thf(zip_derived_cl14012, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((sk7) = (app @ nil @ sk7))
% 298.57/57.96        | ~ (ssList @ (tl @ sk7))
% 298.57/57.96        | ~ (ssList @ sk1))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl11797, zip_derived_cl2147])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl14097, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((sk7) = (app @ nil @ sk7))
% 298.57/57.96        | ~ (ssList @ (tl @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl14012, zip_derived_cl185])).
% 298.57/57.96  thf(zip_derived_cl14176, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ~ (ssList @ sk7)
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((sk7) = (app @ nil @ sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl74, zip_derived_cl14097])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl14177, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((sk7) = (app @ nil @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl14176, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl14178, plain,
% 298.57/57.96      ((((sk7) = (app @ nil @ sk7)) | ((sk2) = (nil)) | ((nil) = (sk7)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl14177])).
% 298.57/57.96  thf(zip_derived_cl57, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) |  (rearsegP @ X0 @ nil))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause58])).
% 298.57/57.96  thf(clause136, axiom,
% 298.57/57.96    (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | 
% 298.57/57.96     ( ~( ssList @ U ) ) | ( rearsegP @ ( app @ W @ U ) @ V ))).
% 298.57/57.96  thf(zip_derived_cl135, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (rearsegP @ X0 @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          |  (rearsegP @ (app @ X2 @ X0) @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause136])).
% 298.57/57.96  thf(zip_derived_cl1548, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ nil)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          |  (rearsegP @ (app @ X1 @ X0) @ nil))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl135])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl1551, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          |  (rearsegP @ (app @ X1 @ X0) @ nil))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl1548, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl1552, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         ( (rearsegP @ (app @ X1 @ X0) @ nil)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl1551])).
% 298.57/57.96  thf(zip_derived_cl14184, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        |  (rearsegP @ sk7 @ nil)
% 298.57/57.96        | ~ (ssList @ nil)
% 298.57/57.96        | ~ (ssList @ sk7))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl14178, zip_derived_cl1552])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl14216, plain,
% 298.57/57.96      ((((nil) = (sk7)) | ((sk2) = (nil)) |  (rearsegP @ sk7 @ nil))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl14184, zip_derived_cl7, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl130, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (rearsegP @ X0 @ X1)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause131])).
% 298.57/57.96  thf(zip_derived_cl14607, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ~ (ssList @ nil)
% 298.57/57.96        | ~ (ssList @ sk7)
% 298.57/57.96        | ((app @ (skaf46 @ sk7 @ nil) @ nil) = (sk7)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl14216, zip_derived_cl130])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl14612, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((app @ (skaf46 @ sk7 @ nil) @ nil) = (sk7)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl14607, zip_derived_cl7, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl14648, plain,
% 298.57/57.96      ((~ (ssList @ sk7)
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((app @ sk7 @ nil) = (sk7)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl1775, zip_derived_cl14612])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl14649, plain,
% 298.57/57.96      ((((sk2) = (nil)) | ((nil) = (sk7)) | ((app @ sk7 @ nil) = (sk7)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl14648, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl132, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((nil) = (X1))
% 298.57/57.96          | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause133])).
% 298.57/57.96  thf(zip_derived_cl14687, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ~ (ssList @ nil)
% 298.57/57.96        | ~ (ssList @ sk7)
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((tl @ sk7) = (app @ (tl @ sk7) @ nil)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl14649, zip_derived_cl132])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl14720, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ((tl @ sk7) = (app @ (tl @ sk7) @ nil)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl14687, zip_derived_cl7, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl14721, plain,
% 298.57/57.96      ((((tl @ sk7) = (app @ (tl @ sk7) @ nil))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((nil) = (sk7)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl14720])).
% 298.57/57.96  thf(zip_derived_cl132, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((nil) = (X1))
% 298.57/57.96          | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause133])).
% 298.57/57.96  thf(zip_derived_cl74, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) |  (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause75])).
% 298.57/57.96  thf(zip_derived_cl1383, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((nil) = (X1))
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ (app @ X1 @ X0))
% 298.57/57.96          |  (ssList @ (app @ (tl @ X1) @ X0))
% 298.57/57.96          | ((nil) = (app @ X1 @ X0)))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl74])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl8170, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((nil) = (app @ X1 @ X0))
% 298.57/57.96          |  (ssList @ (app @ (tl @ X1) @ X0))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((nil) = (X1)))),
% 298.57/57.96      inference('clc', [status(thm)], [zip_derived_cl1383, zip_derived_cl84])).
% 298.57/57.96  thf(clause118, axiom,
% 298.57/57.96    (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) | 
% 298.57/57.96     ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 298.57/57.96  thf(zip_derived_cl117, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((app @ X0 @ X1) != (nil))
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((nil) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause118])).
% 298.57/57.96  thf(zip_derived_cl8171, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((nil) = (X1))
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          |  (ssList @ (app @ (tl @ X1) @ X0)))),
% 298.57/57.96      inference('clc', [status(thm)], [zip_derived_cl8170, zip_derived_cl117])).
% 298.57/57.96  thf(zip_derived_cl21688, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        | ~ (ssList @ sk7)
% 298.57/57.96        | ~ (ssList @ nil)
% 298.57/57.96        |  (ssList @ (tl @ sk7)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl14721, zip_derived_cl8171])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl21733, plain,
% 298.57/57.96      ((((nil) = (sk7))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((nil) = (sk7))
% 298.57/57.96        |  (ssList @ (tl @ sk7)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl21688, zip_derived_cl194, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl21734, plain,
% 298.57/57.96      (( (ssList @ (tl @ sk7)) | ((sk2) = (nil)) | ((nil) = (sk7)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl21733])).
% 298.57/57.96  thf(zip_derived_cl22303, plain, ((((sk2) = (nil)) | ((nil) = (sk7)))),
% 298.57/57.96      inference('clc', [status(thm)],
% 298.57/57.96                [zip_derived_cl22302, zip_derived_cl21734])).
% 298.57/57.96  thf(zip_derived_cl12600, plain,
% 298.57/57.96      (((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) = (skaf45 @ sk1 @ sk7))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12599, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl22401, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96            = (skaf45 @ sk1 @ nil)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl22303, zip_derived_cl12600])).
% 298.57/57.96  thf(zip_derived_cl2783, plain,
% 298.57/57.96      (((app @ (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2782, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(clause60, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ nil ))).
% 298.57/57.96  thf(zip_derived_cl59, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) |  (frontsegP @ X0 @ nil))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause60])).
% 298.57/57.96  thf(zip_derived_cl136, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (frontsegP @ X0 @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          |  (frontsegP @ (app @ X0 @ X2) @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause137])).
% 298.57/57.96  thf(zip_derived_cl1624, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ nil)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          |  (frontsegP @ (app @ X0 @ X1) @ nil))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl136])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl1627, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          |  (frontsegP @ (app @ X0 @ X1) @ nil))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl1624, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl1628, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         ( (frontsegP @ (app @ X0 @ X1) @ nil)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl1627])).
% 298.57/57.96  thf(zip_derived_cl10509, plain,
% 298.57/57.96      (( (frontsegP @ sk1 @ nil)
% 298.57/57.96        | ~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssList @ 
% 298.57/57.96             (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil))))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl2783, zip_derived_cl1628])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl8047, plain,
% 298.57/57.96      ( (ssList @ (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl8046, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl10584, plain, ( (frontsegP @ sk1 @ nil)),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10509, zip_derived_cl195, zip_derived_cl8047])).
% 298.57/57.96  thf(zip_derived_cl131, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (frontsegP @ X0 @ X1)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause132])).
% 298.57/57.96  thf(zip_derived_cl10643, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssList @ sk1)
% 298.57/57.96        | ((app @ nil @ (skaf45 @ sk1 @ nil)) = (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl10584, zip_derived_cl131])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl10647, plain,
% 298.57/57.96      (((app @ nil @ (skaf45 @ sk1 @ nil)) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10643, zip_derived_cl7, zip_derived_cl185])).
% 298.57/57.96  thf(zip_derived_cl73, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause74])).
% 298.57/57.96  thf(zip_derived_cl10672, plain,
% 298.57/57.96      ((~ (ssList @ (skaf45 @ sk1 @ nil)) | ((sk1) = (skaf45 @ sk1 @ nil)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl10647, zip_derived_cl73])).
% 298.57/57.96  thf(zip_derived_cl50, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:  (ssList @ (skaf45 @ X0 @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause51])).
% 298.57/57.96  thf(zip_derived_cl10702, plain, (((sk1) = (skaf45 @ sk1 @ nil))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl10672, zip_derived_cl50])).
% 298.57/57.96  thf(zip_derived_cl22431, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) = (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl22401, zip_derived_cl10702])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl12696, plain,
% 298.57/57.96      (((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96         = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12695, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl96, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause97])).
% 298.57/57.96  thf(zip_derived_cl12703, plain,
% 298.57/57.96      ((~ (ssItem @ sk5)
% 298.57/57.96        | ~ (ssList @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96        | ((hd @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))) = (sk5)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl12696, zip_derived_cl96])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl12743, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96        | ((hd @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))) = (sk5)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12703, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl12950, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk8))
% 298.57/57.96        | ((hd @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))) = (sk5)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl12743])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl12953, plain,
% 298.57/57.96      ((~ (ssList @ (app @ (cons @ sk6 @ nil) @ sk8))
% 298.57/57.96        | ((hd @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))) = (sk5)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12950, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl12956, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ~ (ssList @ sk8)
% 298.57/57.96        | ((hd @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))) = (sk5)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl12953])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl12959, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ((hd @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))) = (sk5)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12956, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl12965, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((hd @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))) = (sk5)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl12959])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl12966, plain,
% 298.57/57.96      (((hd @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))) = (sk5))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12965, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl22551, plain, ((((sk2) = (nil)) | ((hd @ sk1) = (sk5)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl22431, zip_derived_cl12966])).
% 298.57/57.96  thf(zip_derived_cl568, plain,
% 298.57/57.96      ((((sk2) = (nil)) | ((cons @ (hd @ sk1) @ nil) = (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl567, zip_derived_cl185])).
% 298.57/57.96  thf(zip_derived_cl23636, plain,
% 298.57/57.96      ((((sk2) = (nil)) | ((sk2) = (nil)) | ((cons @ sk5 @ nil) = (sk1)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl22551, zip_derived_cl568])).
% 298.57/57.96  thf(zip_derived_cl23682, plain,
% 298.57/57.96      ((((cons @ sk5 @ nil) = (sk1)) | ((sk2) = (nil)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl23636])).
% 298.57/57.96  thf(zip_derived_cl22431, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) = (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl22401, zip_derived_cl10702])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl119, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause120])).
% 298.57/57.96  thf(zip_derived_cl12696, plain,
% 298.57/57.96      (((cons @ sk5 @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96         = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12695, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl119, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause120])).
% 298.57/57.96  thf(zip_derived_cl343, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((nil) = (X1))
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((X0) != (app @ X0 @ X1))
% 298.57/57.96          | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl342])).
% 298.57/57.96  thf(zip_derived_cl491, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssItem @ X1)
% 298.57/57.96          | ((nil) = (X0))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((cons @ X1 @ nil) != (cons @ X1 @ X0))
% 298.57/57.96          | ~ (ssList @ (cons @ X1 @ nil)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl343])).
% 298.57/57.96  thf(zip_derived_cl505, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ (cons @ X1 @ nil))
% 298.57/57.96          | ((cons @ X1 @ nil) != (cons @ X1 @ X0))
% 298.57/57.96          | ((nil) = (X0))
% 298.57/57.96          | ~ (ssItem @ X1)
% 298.57/57.96          | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl491])).
% 298.57/57.96  thf(zip_derived_cl511, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ nil)
% 298.57/57.96          | ~ (ssItem @ X0)
% 298.57/57.96          | ((cons @ X0 @ nil) != (cons @ X0 @ X1))
% 298.57/57.96          | ((nil) = (X1))
% 298.57/57.96          | ~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl505])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl513, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ((cons @ X0 @ nil) != (cons @ X0 @ X1))
% 298.57/57.96          | ((nil) = (X1))
% 298.57/57.96          | ~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl511, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl514, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X1)
% 298.57/57.96          | ((nil) = (X1))
% 298.57/57.96          | ((cons @ X0 @ nil) != (cons @ X0 @ X1))
% 298.57/57.96          | ~ (ssItem @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl513])).
% 298.57/57.96  thf(zip_derived_cl12715, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96        | ((nil) = (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96        | ((cons @ sk5 @ nil)
% 298.57/57.96            != (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96        | ~ (ssItem @ sk5))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl12696, zip_derived_cl514])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl12755, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96        | ((nil) = (app @ sk9 @ (app @ (cons @ sk6 @ nil) @ sk8)))
% 298.57/57.96        | ((cons @ sk5 @ nil)
% 298.57/57.96            != (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12715, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl12917, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ~ (ssList @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((nil) = (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((cons @ sk5 @ nil)
% 298.57/57.96            != (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl119, zip_derived_cl12755])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl12920, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((nil) = (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((cons @ sk5 @ nil)
% 298.57/57.96            != (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12917, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl12921, plain,
% 298.57/57.96      ((~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((nil) = (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((cons @ sk5 @ nil)
% 298.57/57.96            != (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl12920])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl12922, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((nil) = (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((cons @ sk5 @ nil)
% 298.57/57.96            != (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12921, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl12923, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((nil) = (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((cons @ sk5 @ nil)
% 298.57/57.96            != (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl12922])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl12924, plain,
% 298.57/57.96      ((((nil) = (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((cons @ sk5 @ nil)
% 298.57/57.96            != (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl12923, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl22549, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((nil) = (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((cons @ sk5 @ nil) != (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl22431, zip_derived_cl12924])).
% 298.57/57.96  thf(zip_derived_cl23813, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((nil) = (app @ sk9 @ (cons @ sk6 @ sk8)))
% 298.57/57.96        | ((sk1) != (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl23682, zip_derived_cl22549])).
% 298.57/57.96  thf(zip_derived_cl23892, plain,
% 298.57/57.96      ((((nil) = (app @ sk9 @ (cons @ sk6 @ sk8))) | ((sk2) = (nil)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl23813])).
% 298.57/57.96  thf(zip_derived_cl117, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((app @ X0 @ X1) != (nil))
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((nil) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause118])).
% 298.57/57.96  thf(zip_derived_cl24235, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((nil) != (nil))
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ~ (ssList @ sk9)
% 298.57/57.96        | ((nil) = (sk9)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl23892, zip_derived_cl117])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl24323, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((nil) != (nil))
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((nil) = (sk9)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl24235, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl24324, plain,
% 298.57/57.96      ((((nil) = (sk9)) | ~ (ssList @ (cons @ sk6 @ sk8)) | ((sk2) = (nil)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl24323])).
% 298.57/57.96  thf(zip_derived_cl26394, plain,
% 298.57/57.96      ((~ (ssList @ sk8) | ~ (ssItem @ sk6) | ((nil) = (sk9)) | ((sk2) = (nil)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl24324])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl26395, plain, ((((nil) = (sk9)) | ((sk2) = (nil)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl26394, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl23682, plain,
% 298.57/57.96      ((((cons @ sk5 @ nil) = (sk1)) | ((sk2) = (nil)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl23636])).
% 298.57/57.96  thf(zip_derived_cl22303, plain, ((((sk2) = (nil)) | ((nil) = (sk7)))),
% 298.57/57.96      inference('clc', [status(thm)],
% 298.57/57.96                [zip_derived_cl22302, zip_derived_cl21734])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl119, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause120])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl85, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause86])).
% 298.57/57.96  thf(zip_derived_cl197, plain,
% 298.57/57.96      (((app @ 
% 298.57/57.96         (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96          (cons @ sk6 @ nil)) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_6])).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(zip_derived_cl2120, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ~ (ssList @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96               (app @ (cons @ sk6 @ nil) @ sk8))))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl197, zip_derived_cl148])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl2142, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ nil))
% 298.57/57.96        | ~ (ssList @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96               (app @ (cons @ sk6 @ nil) @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl2120, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl7034, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ~ (ssList @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96               (app @ (cons @ sk6 @ nil) @ sk8))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl2142])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl7035, plain,
% 298.57/57.96      ((~ (ssList @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96               (app @ (cons @ sk6 @ nil) @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl7034, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl7037, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96        | ~ (ssList @ sk9)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96               (app @ (cons @ sk6 @ nil) @ sk8))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl7035])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl7040, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96               (app @ (cons @ sk6 @ nil) @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl7037, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl7043, plain,
% 298.57/57.96      ((~ (ssList @ sk7)
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96               (app @ (cons @ sk6 @ nil) @ sk8))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl7040])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl7044, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96               (app @ (cons @ sk6 @ nil) @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl7043, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl7045, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96               (app @ (cons @ sk6 @ nil) @ sk8))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl7044])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl7046, plain,
% 298.57/57.96      (((sk1)
% 298.57/57.96         = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96            (app @ (cons @ sk6 @ nil) @ sk8)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl7045, zip_derived_cl7, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl7067, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96               (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl119, zip_derived_cl7046])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl7071, plain,
% 298.57/57.96      (((sk1)
% 298.57/57.96         = (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) @ 
% 298.57/57.96            (cons @ sk6 @ sk8)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl7067, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(zip_derived_cl7100, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ 
% 298.57/57.96               (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl7071, zip_derived_cl148])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl7113, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ 
% 298.57/57.96               (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl7100, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl7575, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ 
% 298.57/57.96               (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl7113])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl7576, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ 
% 298.57/57.96               (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl7575, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl7577, plain,
% 298.57/57.96      ((~ (ssList @ sk7)
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ 
% 298.57/57.96               (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl7576])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl7578, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ 
% 298.57/57.96               (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl7577, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl7579, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((sk1)
% 298.57/57.96            = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ 
% 298.57/57.96               (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl7578])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl7580, plain,
% 298.57/57.96      (((sk1)
% 298.57/57.96         = (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ 
% 298.57/57.96            (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl7579, zip_derived_cl7, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl148, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2)
% 298.57/57.96          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause149])).
% 298.57/57.96  thf(zip_derived_cl343, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((nil) = (X1))
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ((X0) != (app @ X0 @ X1))
% 298.57/57.96          | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl342])).
% 298.57/57.96  thf(zip_derived_cl2093, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X2)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((nil) = (X0))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ X2 @ X1) != (app @ X2 @ (app @ X1 @ X0)))
% 298.57/57.96          | ~ (ssList @ (app @ X2 @ X1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl343])).
% 298.57/57.96  thf(zip_derived_cl2171, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ (app @ X2 @ X1))
% 298.57/57.96          | ((app @ X2 @ X1) != (app @ X2 @ (app @ X1 @ X0)))
% 298.57/57.96          | ((nil) = (X0))
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X2))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl2093])).
% 298.57/57.96  thf(zip_derived_cl84, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause85])).
% 298.57/57.96  thf(zip_derived_cl18640, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X2)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((nil) = (X0))
% 298.57/57.96          | ((app @ X2 @ X1) != (app @ X2 @ (app @ X1 @ X0))))),
% 298.57/57.96      inference('clc', [status(thm)], [zip_derived_cl2171, zip_derived_cl84])).
% 298.57/57.96  thf(zip_derived_cl18659, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96        | ~ (ssList @ sk9)
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) != (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl7580, zip_derived_cl18640])).
% 298.57/57.96  thf(zip_derived_cl196, plain, ( (ssList @ sk9)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 298.57/57.96  thf(zip_derived_cl18799, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96        | ~ (ssList @ (cons @ sk6 @ sk8))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) != (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl18659, zip_derived_cl196])).
% 298.57/57.96  thf(zip_derived_cl19259, plain,
% 298.57/57.96      ((~ (ssList @ sk8)
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) != (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl18799])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl19260, plain,
% 298.57/57.96      ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ nil)))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) != (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl19259, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl19261, plain,
% 298.57/57.96      ((~ (ssList @ sk7)
% 298.57/57.96        | ~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) != (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl84, zip_derived_cl19260])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl19262, plain,
% 298.57/57.96      ((~ (ssList @ (cons @ sk5 @ nil))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) != (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl19261, zip_derived_cl194])).
% 298.57/57.96  thf(zip_derived_cl19263, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssItem @ sk5)
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) != (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl85, zip_derived_cl19262])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl192, plain, ( (ssItem @ sk5)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 298.57/57.96  thf(zip_derived_cl19264, plain,
% 298.57/57.96      ((((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk9) != (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl19263, zip_derived_cl7, zip_derived_cl192])).
% 298.57/57.96  thf(zip_derived_cl22404, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((app @ (app @ nil @ (cons @ sk5 @ nil)) @ sk9) != (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl22303, zip_derived_cl19264])).
% 298.57/57.96  thf(zip_derived_cl23809, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((app @ (app @ nil @ sk1) @ sk9) != (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl23682, zip_derived_cl22404])).
% 298.57/57.96  thf(zip_derived_cl59, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) |  (frontsegP @ X0 @ nil))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause60])).
% 298.57/57.96  thf(zip_derived_cl131, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (frontsegP @ X0 @ X1)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause132])).
% 298.57/57.96  thf(zip_derived_cl1341, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ nil)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ nil @ (skaf45 @ X0 @ nil)) = (X0)))),
% 298.57/57.96      inference('s_sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl131])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl1344, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ nil @ (skaf45 @ X0 @ nil)) = (X0)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl1341, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl1345, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (((app @ nil @ (skaf45 @ X0 @ nil)) = (X0)) | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl1344])).
% 298.57/57.96  thf(zip_derived_cl73, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause74])).
% 298.57/57.96  thf(zip_derived_cl1828, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ (skaf45 @ X0 @ nil))
% 298.57/57.96          | ((X0) = (skaf45 @ X0 @ nil)))),
% 298.57/57.96      inference('s_sup+', [status(thm)], [zip_derived_cl1345, zip_derived_cl73])).
% 298.57/57.96  thf(zip_derived_cl50, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:  (ssList @ (skaf45 @ X0 @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause51])).
% 298.57/57.96  thf(zip_derived_cl1846, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) | ((X0) = (skaf45 @ X0 @ nil)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl1828, zip_derived_cl50])).
% 298.57/57.96  thf(zip_derived_cl10647, plain,
% 298.57/57.96      (((app @ nil @ (skaf45 @ sk1 @ nil)) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10643, zip_derived_cl7, zip_derived_cl185])).
% 298.57/57.96  thf(zip_derived_cl10678, plain,
% 298.57/57.96      ((~ (ssList @ sk1) | ((app @ nil @ sk1) = (sk1)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl1846, zip_derived_cl10647])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl10679, plain, (((app @ nil @ sk1) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl10678, zip_derived_cl185])).
% 298.57/57.96  thf(zip_derived_cl23886, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((sk2) = (nil))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((app @ sk1 @ sk9) != (sk1)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl23809, zip_derived_cl10679])).
% 298.57/57.96  thf(zip_derived_cl23887, plain,
% 298.57/57.96      ((((app @ sk1 @ sk9) != (sk1))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((sk2) = (nil)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl23886])).
% 298.57/57.96  thf(zip_derived_cl26626, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((app @ sk1 @ nil) != (sk1))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((sk2) = (nil)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl26395, zip_derived_cl23887])).
% 298.57/57.96  thf(zip_derived_cl1775, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) | ((X0) = (skaf46 @ X0 @ nil)))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl1756, zip_derived_cl49])).
% 298.57/57.96  thf(zip_derived_cl2783, plain,
% 298.57/57.96      (((app @ (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))) @ 
% 298.57/57.96         sk8) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2782, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl1552, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         ( (rearsegP @ (app @ X1 @ X0) @ nil)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl1551])).
% 298.57/57.96  thf(zip_derived_cl9600, plain,
% 298.57/57.96      (( (rearsegP @ sk1 @ nil)
% 298.57/57.96        | ~ (ssList @ 
% 298.57/57.96             (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))
% 298.57/57.96        | ~ (ssList @ sk8))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl2783, zip_derived_cl1552])).
% 298.57/57.96  thf(zip_derived_cl8047, plain,
% 298.57/57.96      ( (ssList @ (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ nil)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl8046, zip_derived_cl7, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl9676, plain, ( (rearsegP @ sk1 @ nil)),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl9600, zip_derived_cl8047, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl130, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (~ (rearsegP @ X0 @ X1)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause131])).
% 298.57/57.96  thf(zip_derived_cl9816, plain,
% 298.57/57.96      ((~ (ssList @ nil)
% 298.57/57.96        | ~ (ssList @ sk1)
% 298.57/57.96        | ((app @ (skaf46 @ sk1 @ nil) @ nil) = (sk1)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl9676, zip_derived_cl130])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl9820, plain,
% 298.57/57.96      (((app @ (skaf46 @ sk1 @ nil) @ nil) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl9816, zip_derived_cl7, zip_derived_cl185])).
% 298.57/57.96  thf(zip_derived_cl9850, plain,
% 298.57/57.96      ((~ (ssList @ sk1) | ((app @ sk1 @ nil) = (sk1)))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl1775, zip_derived_cl9820])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl9852, plain, (((app @ sk1 @ nil) = (sk1))),
% 298.57/57.96      inference('demod', [status(thm)], [zip_derived_cl9850, zip_derived_cl185])).
% 298.57/57.96  thf(zip_derived_cl26734, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((sk1) != (sk1))
% 298.57/57.96        | ((nil) = (cons @ sk6 @ sk8))
% 298.57/57.96        | ((sk2) = (nil)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl26626, zip_derived_cl9852])).
% 298.57/57.96  thf(zip_derived_cl26735, plain,
% 298.57/57.96      ((((nil) = (cons @ sk6 @ sk8)) | ((sk2) = (nil)))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl26734])).
% 298.57/57.96  thf(zip_derived_cl97, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i]:
% 298.57/57.96         (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause98])).
% 298.57/57.96  thf(zip_derived_cl26760, plain,
% 298.57/57.96      ((((sk2) = (nil))
% 298.57/57.96        | ((nil) != (nil))
% 298.57/57.96        | ~ (ssItem @ sk6)
% 298.57/57.96        | ~ (ssList @ sk8))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl26735, zip_derived_cl97])).
% 298.57/57.96  thf(zip_derived_cl193, plain, ( (ssItem @ sk6)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 298.57/57.96  thf(zip_derived_cl195, plain, ( (ssList @ sk8)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 298.57/57.96  thf(zip_derived_cl26874, plain, ((((sk2) = (nil)) | ((nil) != (nil)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl26760, zip_derived_cl193, zip_derived_cl195])).
% 298.57/57.96  thf(zip_derived_cl26875, plain, (((sk2) = (nil))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl26874])).
% 298.57/57.96  thf(zip_derived_cl26875, plain, (((sk2) = (nil))),
% 298.57/57.96      inference('simplify', [status(thm)], [zip_derived_cl26874])).
% 298.57/57.96  thf(zip_derived_cl26941, plain,
% 298.57/57.96      ((~ (segmentP @ sk1 @ nil) | ((sk1) = (nil)))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl1177, zip_derived_cl26875, zip_derived_cl26875])).
% 298.57/57.96  thf(zip_derived_cl73, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 298.57/57.96      inference('cnf', [status(esa)], [clause74])).
% 298.57/57.96  thf(zip_derived_cl2656, plain,
% 298.57/57.96      (((sk1) = (app @ sk7 @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl2655, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl17574, plain,
% 298.57/57.96      (![X0 : $i, X1 : $i, X2 : $i]:
% 298.57/57.96         (~ (ssList @ X2)
% 298.57/57.96          | ~ (ssList @ X1)
% 298.57/57.96          | ~ (ssList @ X0)
% 298.57/57.96          | ((app @ X2 @ (app @ X1 @ X0)) != (nil))
% 298.57/57.96          | ((nil) = (X0)))),
% 298.57/57.96      inference('clc', [status(thm)], [zip_derived_cl2168, zip_derived_cl84])).
% 298.57/57.96  thf(zip_derived_cl17690, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ~ (ssList @ sk7)
% 298.57/57.96          | ~ (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))
% 298.57/57.96          | ((app @ X0 @ sk1) != (nil))
% 298.57/57.96          | ((nil) = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl2656, zip_derived_cl17574])).
% 298.57/57.96  thf(zip_derived_cl194, plain, ( (ssList @ sk7)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 298.57/57.96  thf(zip_derived_cl12603, plain,
% 298.57/57.96      ( (ssList @ (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))))),
% 298.57/57.96      inference('s_sup+', [status(thm)],
% 298.57/57.96                [zip_derived_cl12600, zip_derived_cl50])).
% 298.57/57.96  thf(zip_derived_cl17812, plain,
% 298.57/57.96      (![X0 : $i]:
% 298.57/57.96         (~ (ssList @ X0)
% 298.57/57.96          | ((app @ X0 @ sk1) != (nil))
% 298.57/57.96          | ((nil) = (cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8)))))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl17690, zip_derived_cl194, zip_derived_cl12603])).
% 298.57/57.96  thf(zip_derived_cl15719, plain,
% 298.57/57.96      (((cons @ sk5 @ (app @ sk9 @ (cons @ sk6 @ sk8))) != (nil))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl15718, zip_derived_cl195, zip_derived_cl193])).
% 298.57/57.96  thf(zip_derived_cl17813, plain,
% 298.57/57.96      (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ sk1) != (nil)))),
% 298.57/57.96      inference('simplify_reflect-', [status(thm)],
% 298.57/57.96                [zip_derived_cl17812, zip_derived_cl15719])).
% 298.57/57.96  thf(zip_derived_cl18625, plain,
% 298.57/57.96      ((~ (ssList @ sk1) | ~ (ssList @ nil) | ((sk1) != (nil)))),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl73, zip_derived_cl17813])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 298.57/57.96      inference('cnf', [status(esa)], [clause8])).
% 298.57/57.96  thf(zip_derived_cl18633, plain, (((sk1) != (nil))),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl18625, zip_derived_cl185, zip_derived_cl7])).
% 298.57/57.96  thf(zip_derived_cl26942, plain, (~ (segmentP @ sk1 @ nil)),
% 298.57/57.96      inference('simplify_reflect-', [status(thm)],
% 298.57/57.96                [zip_derived_cl26941, zip_derived_cl18633])).
% 298.57/57.96  thf(zip_derived_cl26985, plain, (~ (ssList @ sk1)),
% 298.57/57.96      inference('s_sup-', [status(thm)],
% 298.57/57.96                [zip_derived_cl55, zip_derived_cl26942])).
% 298.57/57.96  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 298.57/57.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 298.57/57.96  thf(zip_derived_cl26986, plain, ($false),
% 298.57/57.96      inference('demod', [status(thm)],
% 298.57/57.96                [zip_derived_cl26985, zip_derived_cl185])).
% 298.57/57.96  
% 298.57/57.96  % SZS output end Refutation
% 298.57/57.96  
% 298.57/57.96  
% 298.57/57.96  % Terminating...
% 298.87/59.09  % Runner terminated.
% 298.87/59.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------