Zipperpin---2.1.9999.UNS-Ref.s

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC021-1 : TPTP v9.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iXMXlJ69Td true

% Computer : n004.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 04:58:18 PM UTC 2025

% Result   : Unsatisfiable 184.83s 27.09s
% Output   : Refutation 184.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem  : SWC021-1 : TPTP v9.2.0. Released v2.4.0.
% 0.02/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.iXMXlJ69Td true
% 0.09/0.32  % Computer : n004.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit : 300
% 0.09/0.32  % WCLimit  : 300
% 0.09/0.32  % DateTime : Wed Oct  1 17:14:08 EDT 2025
% 0.09/0.33  % CPUTime  : 
% 0.09/0.33  % Running portfolio for 300 s
% 0.09/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.33  % Number of cores: 8
% 0.09/0.33  % Python version: Python 3.6.8
% 0.09/0.33  % Running in FO mode
% 0.42/0.60  % Total configuration time : 435
% 0.42/0.60  % Estimated wc time : 1092
% 0.42/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.44/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.44/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.44/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.44/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.44/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.44/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.44/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 184.83/27.09  % Solved by fo/fo13.sh.
% 184.83/27.09  % done 14172 iterations in 26.349s
% 184.83/27.09  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 184.83/27.09  % SZS output start Refutation
% 184.83/27.09  thf(nil_type, type, nil: $i).
% 184.83/27.09  thf(frontsegP_type, type, frontsegP: $i > $i > $o).
% 184.83/27.09  thf(cons_type, type, cons: $i > $i > $i).
% 184.83/27.09  thf(sk2_type, type, sk2: $i).
% 184.83/27.09  thf(skaf45_type, type, skaf45: $i > $i > $i).
% 184.83/27.09  thf(sk4_type, type, sk4: $i).
% 184.83/27.09  thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 184.83/27.09  thf(tl_type, type, tl: $i > $i).
% 184.83/27.09  thf(hd_type, type, hd: $i > $i).
% 184.83/27.09  thf(ssItem_type, type, ssItem: $i > $o).
% 184.83/27.09  thf(skaf46_type, type, skaf46: $i > $i > $i).
% 184.83/27.09  thf(skaf82_type, type, skaf82: $i > $i).
% 184.83/27.09  thf(strictorderedP_type, type, strictorderedP: $i > $o).
% 184.83/27.09  thf(rearsegP_type, type, rearsegP: $i > $i > $o).
% 184.83/27.09  thf(sk3_type, type, sk3: $i).
% 184.83/27.09  thf(skaf47_type, type, skaf47: $i > $i > $i).
% 184.83/27.09  thf(skaf83_type, type, skaf83: $i > $i).
% 184.83/27.09  thf(neq_type, type, neq: $i > $i > $o).
% 184.83/27.09  thf(skaf48_type, type, skaf48: $i > $i > $i).
% 184.83/27.09  thf(app_type, type, app: $i > $i > $i).
% 184.83/27.09  thf(ssList_type, type, ssList: $i > $o).
% 184.83/27.09  thf(sk1_type, type, sk1: $i).
% 184.83/27.09  thf(segmentP_type, type, segmentP: $i > $i > $o).
% 184.83/27.09  thf(clause58, axiom, (( ~( ssList @ U ) ) | ( rearsegP @ U @ nil ))).
% 184.83/27.09  thf(zip_derived_cl57, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) |  (rearsegP @ X0 @ nil))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause58])).
% 184.83/27.09  thf(clause131, axiom,
% 184.83/27.09    (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) | 
% 184.83/27.09     ( ( app @ ( skaf46 @ U @ V ) @ V ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl130, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (rearsegP @ X0 @ X1)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause131])).
% 184.83/27.09  thf(zip_derived_cl695, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl130])).
% 184.83/27.09  thf(clause8, axiom, (ssList @ nil)).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl698, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl695, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl699, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (((app @ (skaf46 @ X0 @ nil) @ nil) = (X0)) | ~ (ssList @ X0))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl698])).
% 184.83/27.09  thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl72, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause73])).
% 184.83/27.09  thf(zip_derived_cl1444, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ (skaf46 @ X0 @ nil))
% 184.83/27.09          | ((X0) = (skaf46 @ X0 @ nil)))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl699, zip_derived_cl72])).
% 184.83/27.09  thf(clause50, axiom, (ssList @ ( skaf46 @ U @ V ))).
% 184.83/27.09  thf(zip_derived_cl49, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:  (ssList @ (skaf46 @ X0 @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause50])).
% 184.83/27.09  thf(zip_derived_cl1470, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) | ((X0) = (skaf46 @ X0 @ nil)))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl1444, zip_derived_cl49])).
% 184.83/27.09  thf(zip_derived_cl57, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) |  (rearsegP @ X0 @ nil))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause58])).
% 184.83/27.09  thf(zip_derived_cl72, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause73])).
% 184.83/27.09  thf(zip_derived_cl72, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause73])).
% 184.83/27.09  thf(clause56, axiom, (( ~( ssList @ U ) ) | ( segmentP @ U @ nil ))).
% 184.83/27.09  thf(zip_derived_cl55, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) |  (segmentP @ X0 @ nil))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause56])).
% 184.83/27.09  thf(co1_7, conjecture, (~( frontsegP @ sk4 @ sk3 ))).
% 184.83/27.09  thf(zf_stmt_0, negated_conjecture, (frontsegP @ sk4 @ sk3),
% 184.83/27.09    inference('cnf.neg', [status(esa)], [co1_7])).
% 184.83/27.09  thf(zip_derived_cl191, plain, ( (frontsegP @ sk4 @ sk3)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_0])).
% 184.83/27.09  thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 184.83/27.09  thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 184.83/27.09    inference('cnf.neg', [status(esa)], [co1_5])).
% 184.83/27.09  thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_1])).
% 184.83/27.09  thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 184.83/27.09  thf(zf_stmt_2, negated_conjecture, (( sk1 ) = ( sk3 )),
% 184.83/27.09    inference('cnf.neg', [status(esa)], [co1_6])).
% 184.83/27.09  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_2])).
% 184.83/27.09  thf(zip_derived_cl199, plain, ( (frontsegP @ sk2 @ sk1)),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 184.83/27.09  thf(clause100, axiom,
% 184.83/27.09    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) | 
% 184.83/27.09     ( ( V ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl99, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ~ (ssList @ X1) |  (neq @ X1 @ X0) | ((X1) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause100])).
% 184.83/27.09  thf(clause61, axiom, (( ~( ssList @ U ) ) | ( frontsegP @ U @ U ))).
% 184.83/27.09  thf(zip_derived_cl60, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) |  (frontsegP @ X0 @ X0))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause61])).
% 184.83/27.09  thf(co1_9, conjecture,
% 184.83/27.09    (~( ( ~( frontsegP @ sk1 @ A ) ) | ( ~( frontsegP @ sk2 @ A ) ) | 
% 184.83/27.09        ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) ) ))).
% 184.83/27.09  thf(zf_stmt_3, negated_conjecture,
% 184.83/27.09    (( ~( frontsegP @ sk1 @ A ) ) | ( ~( frontsegP @ sk2 @ A ) ) | 
% 184.83/27.09     ( ~( neq @ A @ nil ) ) | ( ~( ssList @ A ) )),
% 184.83/27.09    inference('cnf.neg', [status(esa)], [co1_9])).
% 184.83/27.09  thf(zip_derived_cl193, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (frontsegP @ sk1 @ X0)
% 184.83/27.09          | ~ (frontsegP @ sk2 @ X0)
% 184.83/27.09          | ~ (neq @ X0 @ nil)
% 184.83/27.09          | ~ (ssList @ X0))),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_3])).
% 184.83/27.09  thf(zip_derived_cl233, plain,
% 184.83/27.09      ((~ (ssList @ sk1)
% 184.83/27.09        | ~ (frontsegP @ sk2 @ sk1)
% 184.83/27.09        | ~ (neq @ sk1 @ nil)
% 184.83/27.09        | ~ (ssList @ sk1))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl193])).
% 184.83/27.09  thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 184.83/27.09  thf(zf_stmt_4, negated_conjecture, (ssList @ sk1),
% 184.83/27.09    inference('cnf.neg', [status(esa)], [co1_1])).
% 184.83/27.09  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_4])).
% 184.83/27.09  thf(zip_derived_cl199, plain, ( (frontsegP @ sk2 @ sk1)),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 184.83/27.09  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_4])).
% 184.83/27.09  thf(zip_derived_cl235, plain, (~ (neq @ sk1 @ nil)),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl233, zip_derived_cl185, zip_derived_cl199, 
% 184.83/27.09                 zip_derived_cl185])).
% 184.83/27.09  thf(zip_derived_cl260, plain,
% 184.83/27.09      ((((sk1) = (nil)) | ~ (ssList @ sk1) | ~ (ssList @ nil))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl235])).
% 184.83/27.09  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_4])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl265, plain, (((sk1) = (nil))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl260, zip_derived_cl185, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl273, plain, ( (frontsegP @ sk2 @ nil)),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl265])).
% 184.83/27.09  thf(clause132, axiom,
% 184.83/27.09    (( ~( frontsegP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) | 
% 184.83/27.09     ( ( app @ V @ ( skaf45 @ U @ V ) ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl131, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (frontsegP @ X0 @ X1)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((app @ X1 @ (skaf45 @ X0 @ X1)) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause132])).
% 184.83/27.09  thf(zip_derived_cl772, plain,
% 184.83/27.09      ((~ (ssList @ nil)
% 184.83/27.09        | ~ (ssList @ sk2)
% 184.83/27.09        | ((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2)))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl273, zip_derived_cl131])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 184.83/27.09  thf(zf_stmt_5, negated_conjecture, (ssList @ sk2),
% 184.83/27.09    inference('cnf.neg', [status(esa)], [co1_2])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl777, plain, (((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl772, zip_derived_cl7, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl777, plain, (((app @ nil @ (skaf45 @ sk2 @ nil)) = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl772, zip_derived_cl7, zip_derived_cl186])).
% 184.83/27.09  thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl73, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause74])).
% 184.83/27.09  thf(zip_derived_cl805, plain,
% 184.83/27.09      ((~ (ssList @ (skaf45 @ sk2 @ nil)) | ((sk2) = (skaf45 @ sk2 @ nil)))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl777, zip_derived_cl73])).
% 184.83/27.09  thf(clause51, axiom, (ssList @ ( skaf45 @ U @ V ))).
% 184.83/27.09  thf(zip_derived_cl50, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:  (ssList @ (skaf45 @ X0 @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause51])).
% 184.83/27.09  thf(zip_derived_cl824, plain, (((sk2) = (skaf45 @ sk2 @ nil))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl805, zip_derived_cl50])).
% 184.83/27.09  thf(zip_derived_cl829, plain, (((app @ nil @ sk2) = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl777, zip_derived_cl824])).
% 184.83/27.09  thf(clause172, axiom,
% 184.83/27.09    (( ~( segmentP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ X ) ) | 
% 184.83/27.09     ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) | 
% 184.83/27.09     ( segmentP @ ( app @ ( app @ X @ U ) @ W ) @ V ))).
% 184.83/27.09  thf(zip_derived_cl171, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 184.83/27.09         (~ (segmentP @ X0 @ X1)
% 184.83/27.09          | ~ (ssList @ X2)
% 184.83/27.09          | ~ (ssList @ X3)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (segmentP @ (app @ (app @ X3 @ X0) @ X2) @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause172])).
% 184.83/27.09  thf(zip_derived_cl2125, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (segmentP @ sk2 @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ sk2)
% 184.83/27.09          |  (segmentP @ (app @ sk2 @ X1) @ X0))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl829, zip_derived_cl171])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl2161, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (segmentP @ sk2 @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (segmentP @ (app @ sk2 @ X1) @ X0))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl2125, zip_derived_cl7, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl3774, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ sk2)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          |  (segmentP @ (app @ sk2 @ X0) @ nil))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl2161])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl3779, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) |  (segmentP @ (app @ sk2 @ X0) @ nil))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl3774, zip_derived_cl186, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl3787, plain,
% 184.83/27.09      ((~ (ssList @ sk2) | ~ (ssList @ nil) |  (segmentP @ sk2 @ nil))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl3779])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl3789, plain, ( (segmentP @ sk2 @ nil)),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl3787, zip_derived_cl186, zip_derived_cl7])).
% 184.83/27.09  thf(clause168, axiom,
% 184.83/27.09    (( ~( segmentP @ U @ V ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ U ) ) | 
% 184.83/27.09     ( ( app @ ( app @ ( skaf47 @ U @ V ) @ V ) @ ( skaf48 @ V @ U ) ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl167, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (segmentP @ X0 @ X1)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((app @ (app @ (skaf47 @ X0 @ X1) @ X1) @ (skaf48 @ X1 @ X0))
% 184.83/27.09              = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause168])).
% 184.83/27.09  thf(zip_derived_cl3797, plain,
% 184.83/27.09      ((~ (ssList @ nil)
% 184.83/27.09        | ~ (ssList @ sk2)
% 184.83/27.09        | ((app @ (app @ (skaf47 @ sk2 @ nil) @ nil) @ (skaf48 @ nil @ sk2))
% 184.83/27.09            = (sk2)))),
% 184.83/27.09      inference('s_sup-', [status(thm)],
% 184.83/27.09                [zip_derived_cl3789, zip_derived_cl167])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl3803, plain,
% 184.83/27.09      (((app @ (app @ (skaf47 @ sk2 @ nil) @ nil) @ (skaf48 @ nil @ sk2))
% 184.83/27.09         = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl3797, zip_derived_cl7, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl3844, plain,
% 184.83/27.09      ((~ (ssList @ (skaf47 @ sk2 @ nil))
% 184.83/27.09        | ((app @ (skaf47 @ sk2 @ nil) @ (skaf48 @ nil @ sk2)) = (sk2)))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl72, zip_derived_cl3803])).
% 184.83/27.09  thf(clause49, axiom, (ssList @ ( skaf47 @ U @ V ))).
% 184.83/27.09  thf(zip_derived_cl48, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:  (ssList @ (skaf47 @ X0 @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause49])).
% 184.83/27.09  thf(zip_derived_cl3845, plain,
% 184.83/27.09      (((app @ (skaf47 @ sk2 @ nil) @ (skaf48 @ nil @ sk2)) = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl3844, zip_derived_cl48])).
% 184.83/27.09  thf(clause136, axiom,
% 184.83/27.09    (( ~( rearsegP @ U @ V ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ V ) ) | 
% 184.83/27.09     ( ~( ssList @ U ) ) | ( rearsegP @ ( app @ W @ U ) @ V ))).
% 184.83/27.09  thf(zip_derived_cl135, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (rearsegP @ X0 @ X1)
% 184.83/27.09          | ~ (ssList @ X2)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (rearsegP @ (app @ X2 @ X0) @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause136])).
% 184.83/27.09  thf(zip_derived_cl3888, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (rearsegP @ (skaf48 @ nil @ sk2) @ X0)
% 184.83/27.09          | ~ (ssList @ (skaf47 @ sk2 @ nil))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ (skaf48 @ nil @ sk2))
% 184.83/27.09          |  (rearsegP @ sk2 @ X0))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl3845, zip_derived_cl135])).
% 184.83/27.09  thf(zip_derived_cl48, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:  (ssList @ (skaf47 @ X0 @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause49])).
% 184.83/27.09  thf(clause48, axiom, (ssList @ ( skaf48 @ U @ V ))).
% 184.83/27.09  thf(zip_derived_cl47, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:  (ssList @ (skaf48 @ X0 @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause48])).
% 184.83/27.09  thf(zip_derived_cl3913, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (rearsegP @ (skaf48 @ nil @ sk2) @ X0)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (rearsegP @ sk2 @ X0))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl3888, zip_derived_cl48, zip_derived_cl47])).
% 184.83/27.09  thf(zip_derived_cl3930, plain,
% 184.83/27.09      ((~ (ssList @ (skaf48 @ nil @ sk2))
% 184.83/27.09        | ~ (ssList @ nil)
% 184.83/27.09        |  (rearsegP @ sk2 @ nil))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl57, zip_derived_cl3913])).
% 184.83/27.09  thf(zip_derived_cl47, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:  (ssList @ (skaf48 @ X0 @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause48])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl3932, plain, ( (rearsegP @ sk2 @ nil)),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl3930, zip_derived_cl47, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl130, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (rearsegP @ X0 @ X1)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause131])).
% 184.83/27.09  thf(zip_derived_cl3934, plain,
% 184.83/27.09      ((~ (ssList @ nil)
% 184.83/27.09        | ~ (ssList @ sk2)
% 184.83/27.09        | ((app @ (skaf46 @ sk2 @ nil) @ nil) = (sk2)))),
% 184.83/27.09      inference('s_sup-', [status(thm)],
% 184.83/27.09                [zip_derived_cl3932, zip_derived_cl130])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl3939, plain,
% 184.83/27.09      (((app @ (skaf46 @ sk2 @ nil) @ nil) = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl3934, zip_derived_cl7, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl3972, plain,
% 184.83/27.09      ((~ (ssList @ sk2) | ((app @ sk2 @ nil) = (sk2)))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl1470, zip_derived_cl3939])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl3973, plain, (((app @ sk2 @ nil) = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl3972, zip_derived_cl186])).
% 184.83/27.09  thf(clause123, axiom,
% 184.83/27.09    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) | 
% 184.83/27.09     ( ( hd @ ( app @ V @ U ) ) = ( hd @ V ) ))).
% 184.83/27.09  thf(zip_derived_cl122, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ((nil) = (X1))
% 184.83/27.09          | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause123])).
% 184.83/27.09  thf(clause104, axiom,
% 184.83/27.09    (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) | 
% 184.83/27.09     ( ( nil ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl103, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 184.83/27.09          | ((nil) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause104])).
% 184.83/27.09  thf(zip_derived_cl503, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((nil) = (X0))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ (app @ X0 @ X1))
% 184.83/27.09          | ((cons @ (hd @ X0) @ (tl @ (app @ X0 @ X1))) = (app @ X0 @ X1))
% 184.83/27.09          | ((nil) = (app @ X0 @ X1)))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl103])).
% 184.83/27.09  thf(clause85, axiom,
% 184.83/27.09    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 184.83/27.09  thf(zip_derived_cl84, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause85])).
% 184.83/27.09  thf(zip_derived_cl5533, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((nil) = (app @ X0 @ X1))
% 184.83/27.09          | ((cons @ (hd @ X0) @ (tl @ (app @ X0 @ X1))) = (app @ X0 @ X1))
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((nil) = (X0)))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl503, zip_derived_cl84])).
% 184.83/27.09  thf(clause118, axiom,
% 184.83/27.09    (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) | 
% 184.83/27.09     ( ~( ssList @ U ) ) | ( ( nil ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl117, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((app @ X0 @ X1) != (nil))
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((nil) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause118])).
% 184.83/27.09  thf(zip_derived_cl5534, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((nil) = (X0))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ((cons @ (hd @ X0) @ (tl @ (app @ X0 @ X1))) = (app @ X0 @ X1)))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl5533, zip_derived_cl117])).
% 184.83/27.09  thf(zip_derived_cl5611, plain,
% 184.83/27.09      ((((nil) = (sk2))
% 184.83/27.09        | ~ (ssList @ sk2)
% 184.83/27.09        | ~ (ssList @ nil)
% 184.83/27.09        | ((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2)))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl3973, zip_derived_cl5534])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl5646, plain,
% 184.83/27.09      ((((nil) = (sk2)) | ((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl5611, zip_derived_cl186, zip_derived_cl7])).
% 184.83/27.09  thf(co1_11, conjecture,
% 184.83/27.09    (~( ( ( nil ) != ( sk1 ) ) | ( ( nil ) != ( sk2 ) ) ))).
% 184.83/27.09  thf(zf_stmt_6, negated_conjecture,
% 184.83/27.09    (( ( nil ) != ( sk1 ) ) | ( ( nil ) != ( sk2 ) )),
% 184.83/27.09    inference('cnf.neg', [status(esa)], [co1_11])).
% 184.83/27.09  thf(zip_derived_cl195, plain, ((((nil) != (sk1)) | ((nil) != (sk2)))),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_6])).
% 184.83/27.09  thf(zip_derived_cl265, plain, (((sk1) = (nil))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl260, zip_derived_cl185, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl270, plain, ((((nil) != (nil)) | ((nil) != (sk2)))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl195, zip_derived_cl265])).
% 184.83/27.09  thf(zip_derived_cl271, plain, (((nil) != (sk2))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl270])).
% 184.83/27.09  thf(zip_derived_cl5647, plain, (((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2))),
% 184.83/27.09      inference('simplify_reflect-', [status(thm)],
% 184.83/27.09                [zip_derived_cl5646, zip_derived_cl271])).
% 184.83/27.09  thf(clause120, axiom,
% 184.83/27.09    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | 
% 184.83/27.09     ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 184.83/27.09  thf(zip_derived_cl119, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssItem @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause120])).
% 184.83/27.09  thf(clause144, axiom,
% 184.83/27.09    (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ V ) ) | 
% 184.83/27.09     ( ~( ssList @ U ) ) | ( ~( ssList @ W ) ) | ( frontsegP @ W @ U ))).
% 184.83/27.09  thf(zip_derived_cl143, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (((app @ X1 @ X2) != (X0))
% 184.83/27.09          | ~ (ssList @ X2)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (frontsegP @ X0 @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause144])).
% 184.83/27.09  thf(zip_derived_cl473, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         ( (frontsegP @ (app @ X0 @ X1) @ X0)
% 184.83/27.09          | ~ (ssList @ (app @ X0 @ X1))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1))),
% 184.83/27.09      inference('eq_res', [status(thm)], [zip_derived_cl143])).
% 184.83/27.09  thf(zip_derived_cl84, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause85])).
% 184.83/27.09  thf(zip_derived_cl5128, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (frontsegP @ (app @ X0 @ X1) @ X0))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl473, zip_derived_cl84])).
% 184.83/27.09  thf(zip_derived_cl5149, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssItem @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ (cons @ X1 @ nil))
% 184.83/27.09          |  (frontsegP @ (cons @ X1 @ X0) @ (cons @ X1 @ nil)))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl119, zip_derived_cl5128])).
% 184.83/27.09  thf(zip_derived_cl5183, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         ( (frontsegP @ (cons @ X1 @ X0) @ (cons @ X1 @ nil))
% 184.83/27.09          | ~ (ssList @ (cons @ X1 @ nil))
% 184.83/27.09          | ~ (ssItem @ X1)
% 184.83/27.09          | ~ (ssList @ X0))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl5149])).
% 184.83/27.09  thf(clause145, axiom,
% 184.83/27.09    (( ( nil ) != ( U ) ) | ( ( nil ) != ( V ) ) | ( ~( ssList @ V ) ) | 
% 184.83/27.09     ( ~( ssList @ U ) ) | ( ( app @ U @ V ) = ( nil ) ))).
% 184.83/27.09  thf(zip_derived_cl144, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((nil) != (X0))
% 184.83/27.09          | ((nil) != (X1))
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((app @ X0 @ X1) = (nil)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause145])).
% 184.83/27.09  thf(zip_derived_cl394, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (((app @ nil @ X0) = (nil))
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((nil) != (X0)))),
% 184.83/27.09      inference('eq_res', [status(thm)], [zip_derived_cl144])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl395, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (((app @ nil @ X0) = (nil)) | ~ (ssList @ X0) | ((nil) != (X0)))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl394, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl396, plain,
% 184.83/27.09      ((~ (ssList @ nil) | ((app @ nil @ nil) = (nil)))),
% 184.83/27.09      inference('eq_res', [status(thm)], [zip_derived_cl395])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl397, plain, (((app @ nil @ nil) = (nil))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl396, zip_derived_cl7])).
% 184.83/27.09  thf(clause157, axiom,
% 184.83/27.09    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | 
% 184.83/27.09     ( ( cons @ U @ ( app @ V @ W ) ) = ( app @ ( cons @ U @ V ) @ W ) ))).
% 184.83/27.09  thf(zip_derived_cl156, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssItem @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X2)
% 184.83/27.09          | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause157])).
% 184.83/27.09  thf(zip_derived_cl84, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause85])).
% 184.83/27.09  thf(zip_derived_cl1249, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssItem @ X2)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ (cons @ X2 @ X1))
% 184.83/27.09          |  (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl156, zip_derived_cl84])).
% 184.83/27.09  thf(zip_derived_cl1281, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         ( (ssList @ (cons @ X2 @ (app @ X1 @ X0)))
% 184.83/27.09          | ~ (ssList @ (cons @ X2 @ X1))
% 184.83/27.09          | ~ (ssItem @ X2)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl1249])).
% 184.83/27.09  thf(clause86, axiom,
% 184.83/27.09    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 184.83/27.09  thf(zip_derived_cl85, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause86])).
% 184.83/27.09  thf(zip_derived_cl18052, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssItem @ X2)
% 184.83/27.09          |  (ssList @ (cons @ X2 @ (app @ X1 @ X0))))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl1281, zip_derived_cl85])).
% 184.83/27.09  thf(zip_derived_cl18061, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ nil)
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          | ~ (ssItem @ X0)
% 184.83/27.09          |  (ssList @ (cons @ X0 @ nil)))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl397, zip_derived_cl18052])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl18104, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssItem @ X0) |  (ssList @ (cons @ X0 @ nil)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl18061, zip_derived_cl7, zip_derived_cl7])).
% 184.83/27.09  thf(clause72, axiom,
% 184.83/27.09    (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 184.83/27.09  thf(zip_derived_cl71, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0) |  (duplicatefreeP @ X0) |  (ssItem @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause72])).
% 184.83/27.09  thf(clause109, axiom,
% 184.83/27.09    (( ~( ssList @ U ) ) | 
% 184.83/27.09     ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) | 
% 184.83/27.09     ( ( nil ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl108, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 184.83/27.09          | ((nil) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause109])).
% 184.83/27.09  thf(clause97, axiom,
% 184.83/27.09    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | 
% 184.83/27.09     ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl96, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause97])).
% 184.83/27.09  thf(zip_derived_cl354, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (((nil) = (X0))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssItem @ (skaf83 @ X0))
% 184.83/27.09          | ~ (ssList @ (skaf82 @ X0))
% 184.83/27.09          | ((hd @ X0) = (skaf83 @ X0)))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl108, zip_derived_cl96])).
% 184.83/27.09  thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 184.83/27.09  thf(zip_derived_cl11, plain, (![X0 : $i]:  (ssItem @ (skaf83 @ X0))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause12])).
% 184.83/27.09  thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 184.83/27.09  thf(zip_derived_cl12, plain, (![X0 : $i]:  (ssList @ (skaf82 @ X0))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause13])).
% 184.83/27.09  thf(zip_derived_cl357, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ X0) = (skaf83 @ X0)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl354, zip_derived_cl11, zip_derived_cl12])).
% 184.83/27.09  thf(zip_derived_cl108, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 184.83/27.09          | ((nil) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause109])).
% 184.83/27.09  thf(zip_derived_cl454, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ((nil) = (X0))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((cons @ (hd @ X0) @ (skaf82 @ X0)) = (X0))
% 184.83/27.09          | ((nil) = (X0)))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl357, zip_derived_cl108])).
% 184.83/27.09  thf(zip_derived_cl455, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (((cons @ (hd @ X0) @ (skaf82 @ X0)) = (X0))
% 184.83/27.09          | ((nil) = (X0))
% 184.83/27.09          | ~ (ssList @ X0))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl454])).
% 184.83/27.09  thf(zip_derived_cl5647, plain, (((cons @ (hd @ sk2) @ (tl @ sk2)) = (sk2))),
% 184.83/27.09      inference('simplify_reflect-', [status(thm)],
% 184.83/27.09                [zip_derived_cl5646, zip_derived_cl271])).
% 184.83/27.09  thf(zip_derived_cl73, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause74])).
% 184.83/27.09  thf(clause179, axiom,
% 184.83/27.09    (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) | 
% 184.83/27.09     ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) | 
% 184.83/27.09     ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 184.83/27.09  thf(zip_derived_cl178, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 184.83/27.09         (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 184.83/27.09          | ~ (ssList @ X4)
% 184.83/27.09          | ~ (ssList @ X3)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssItem @ X2)
% 184.83/27.09          | ~ (duplicatefreeP @ X0)
% 184.83/27.09          | ~ (ssList @ X0))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause179])).
% 184.83/27.09  thf(zip_derived_cl1880, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 184.83/27.09         (~ (ssList @ (cons @ X1 @ X0))
% 184.83/27.09          | ((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2))
% 184.83/27.09          | ~ (ssList @ X3)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          | ~ (ssItem @ X1)
% 184.83/27.09          | ~ (duplicatefreeP @ X2)
% 184.83/27.09          | ~ (ssList @ X2))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl178])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl1899, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 184.83/27.09         (~ (ssList @ (cons @ X1 @ X0))
% 184.83/27.09          | ((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2))
% 184.83/27.09          | ~ (ssList @ X3)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssItem @ X1)
% 184.83/27.09          | ~ (duplicatefreeP @ X2)
% 184.83/27.09          | ~ (ssList @ X2))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl1880, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl85, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause86])).
% 184.83/27.09  thf(zip_derived_cl37053, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 184.83/27.09         (~ (ssList @ X2)
% 184.83/27.09          | ~ (duplicatefreeP @ X2)
% 184.83/27.09          | ~ (ssItem @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X3)
% 184.83/27.09          | ((app @ (cons @ X1 @ X0) @ (cons @ X1 @ X3)) != (X2)))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl1899, zip_derived_cl85])).
% 184.83/27.09  thf(zip_derived_cl37071, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (duplicatefreeP @ X0)
% 184.83/27.09          | ~ (ssItem @ (hd @ sk2))
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ (tl @ sk2))
% 184.83/27.09          | ((app @ (cons @ (hd @ sk2) @ X1) @ sk2) != (X0)))),
% 184.83/27.09      inference('s_sup-', [status(thm)],
% 184.83/27.09                [zip_derived_cl5647, zip_derived_cl37053])).
% 184.83/27.09  thf(zip_derived_cl829, plain, (((app @ nil @ sk2) = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl777, zip_derived_cl824])).
% 184.83/27.09  thf(clause149, axiom,
% 184.83/27.09    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | 
% 184.83/27.09     ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 184.83/27.09  thf(zip_derived_cl148, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X2)
% 184.83/27.09          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause149])).
% 184.83/27.09  thf(zip_derived_cl1197, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ sk2)
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          | ((app @ sk2 @ X0) = (app @ nil @ (app @ sk2 @ X0))))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl829, zip_derived_cl148])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl1206, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ((app @ sk2 @ X0) = (app @ nil @ (app @ sk2 @ X0))))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl1197, zip_derived_cl186, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl148, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X2)
% 184.83/27.09          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause149])).
% 184.83/27.09  thf(zip_derived_cl84, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause85])).
% 184.83/27.09  thf(zip_derived_cl1169, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X2)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ (app @ X2 @ X1))
% 184.83/27.09          |  (ssList @ (app @ X2 @ (app @ X1 @ X0))))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl84])).
% 184.83/27.09  thf(zip_derived_cl1210, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         ( (ssList @ (app @ X2 @ (app @ X1 @ X0)))
% 184.83/27.09          | ~ (ssList @ (app @ X2 @ X1))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X2))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl1169])).
% 184.83/27.09  thf(zip_derived_cl84, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause85])).
% 184.83/27.09  thf(zip_derived_cl13799, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X2)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (ssList @ (app @ X2 @ (app @ X1 @ X0))))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl1210, zip_derived_cl84])).
% 184.83/27.09  thf(zip_derived_cl13803, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          | ~ (ssList @ sk2)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (ssList @ (app @ sk2 @ X0)))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl1206, zip_derived_cl13799])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl13857, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ~ (ssList @ X0) |  (ssList @ (app @ sk2 @ X0)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl13803, zip_derived_cl7, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl13858, plain,
% 184.83/27.09      (![X0 : $i]: ( (ssList @ (app @ sk2 @ X0)) | ~ (ssList @ X0))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl13857])).
% 184.83/27.09  thf(zip_derived_cl829, plain, (((app @ nil @ sk2) = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl777, zip_derived_cl824])).
% 184.83/27.09  thf(clause143, axiom,
% 184.83/27.09    (( ( app @ U @ V ) != ( W ) ) | ( ~( ssList @ U ) ) | 
% 184.83/27.09     ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | ( rearsegP @ W @ V ))).
% 184.83/27.09  thf(zip_derived_cl142, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (((app @ X1 @ X2) != (X0))
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X2)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (rearsegP @ X0 @ X2))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause143])).
% 184.83/27.09  thf(zip_derived_cl844, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (((sk2) != (X0))
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          | ~ (ssList @ sk2)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (rearsegP @ X0 @ sk2))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl829, zip_derived_cl142])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl864, plain,
% 184.83/27.09      (![X0 : $i]: (((sk2) != (X0)) | ~ (ssList @ X0) |  (rearsegP @ X0 @ sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl844, zip_derived_cl7, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl942, plain, (( (rearsegP @ sk2 @ sk2) | ~ (ssList @ sk2))),
% 184.83/27.09      inference('eq_res', [status(thm)], [zip_derived_cl864])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl943, plain, ( (rearsegP @ sk2 @ sk2)),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl942, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl135, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (rearsegP @ X0 @ X1)
% 184.83/27.09          | ~ (ssList @ X2)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (rearsegP @ (app @ X2 @ X0) @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause136])).
% 184.83/27.09  thf(zip_derived_cl946, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ sk2)
% 184.83/27.09          | ~ (ssList @ sk2)
% 184.83/27.09          |  (rearsegP @ (app @ X0 @ sk2) @ sk2))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl943, zip_derived_cl135])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl950, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) |  (rearsegP @ (app @ X0 @ sk2) @ sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl946, zip_derived_cl186, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl130, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (rearsegP @ X0 @ X1)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((app @ (skaf46 @ X0 @ X1) @ X1) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause131])).
% 184.83/27.09  thf(zip_derived_cl1060, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ sk2)
% 184.83/27.09          | ~ (ssList @ (app @ X0 @ sk2))
% 184.83/27.09          | ((app @ (skaf46 @ (app @ X0 @ sk2) @ sk2) @ sk2) = (app @ X0 @ sk2)))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl950, zip_derived_cl130])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl1070, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ (app @ X0 @ sk2))
% 184.83/27.09          | ((app @ (skaf46 @ (app @ X0 @ sk2) @ sk2) @ sk2) = (app @ X0 @ sk2)))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl1060, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl13905, plain,
% 184.83/27.09      ((~ (ssList @ sk2)
% 184.83/27.09        | ~ (ssList @ sk2)
% 184.83/27.09        | ((app @ (skaf46 @ (app @ sk2 @ sk2) @ sk2) @ sk2) = (app @ sk2 @ sk2)))),
% 184.83/27.09      inference('s_sup-', [status(thm)],
% 184.83/27.09                [zip_derived_cl13858, zip_derived_cl1070])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl13918, plain,
% 184.83/27.09      (((app @ (skaf46 @ (app @ sk2 @ sk2) @ sk2) @ sk2) = (app @ sk2 @ sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl13905, zip_derived_cl186, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl73, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause74])).
% 184.83/27.09  thf(zip_derived_cl148, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X2)
% 184.83/27.09          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause149])).
% 184.83/27.09  thf(zip_derived_cl1195, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl73, zip_derived_cl148])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl1203, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1))))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl1195, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl1204, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((app @ X0 @ X1) = (app @ nil @ (app @ X0 @ X1)))
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl1203])).
% 184.83/27.09  thf(zip_derived_cl14009, plain,
% 184.83/27.09      ((((app @ sk2 @ sk2) = (app @ nil @ (app @ sk2 @ sk2)))
% 184.83/27.09        | ~ (ssList @ sk2)
% 184.83/27.09        | ~ (ssList @ (skaf46 @ (app @ sk2 @ sk2) @ sk2)))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl13918, zip_derived_cl1204])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl49, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:  (ssList @ (skaf46 @ X0 @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause50])).
% 184.83/27.09  thf(zip_derived_cl14093, plain,
% 184.83/27.09      (((app @ sk2 @ sk2) = (app @ nil @ (app @ sk2 @ sk2)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl14009, zip_derived_cl186, zip_derived_cl49])).
% 184.83/27.09  thf(zip_derived_cl148, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X2)
% 184.83/27.09          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause149])).
% 184.83/27.09  thf(zip_derived_cl122, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ((nil) = (X1))
% 184.83/27.09          | ((hd @ (app @ X1 @ X0)) = (hd @ X1)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause123])).
% 184.83/27.09  thf(zip_derived_cl1170, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X2)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ (app @ X2 @ X1))
% 184.83/27.09          | ((nil) = (app @ X2 @ X1))
% 184.83/27.09          | ((hd @ (app @ X2 @ (app @ X1 @ X0))) = (hd @ (app @ X2 @ X1))))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl122])).
% 184.83/27.09  thf(zip_derived_cl1211, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (((hd @ (app @ X2 @ (app @ X1 @ X0))) = (hd @ (app @ X2 @ X1)))
% 184.83/27.09          | ((nil) = (app @ X2 @ X1))
% 184.83/27.09          | ~ (ssList @ (app @ X2 @ X1))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X2))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl1170])).
% 184.83/27.09  thf(zip_derived_cl84, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause85])).
% 184.83/27.09  thf(zip_derived_cl14156, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X2)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((nil) = (app @ X2 @ X1))
% 184.83/27.09          | ((hd @ (app @ X2 @ (app @ X1 @ X0))) = (hd @ (app @ X2 @ X1))))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl1211, zip_derived_cl84])).
% 184.83/27.09  thf(zip_derived_cl14510, plain,
% 184.83/27.09      ((~ (ssList @ nil)
% 184.83/27.09        | ~ (ssList @ sk2)
% 184.83/27.09        | ~ (ssList @ sk2)
% 184.83/27.09        | ((nil) = (app @ nil @ sk2))
% 184.83/27.09        | ((hd @ (app @ sk2 @ sk2)) = (hd @ (app @ nil @ sk2))))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl14093, zip_derived_cl14156])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl829, plain, (((app @ nil @ sk2) = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl777, zip_derived_cl824])).
% 184.83/27.09  thf(zip_derived_cl829, plain, (((app @ nil @ sk2) = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl777, zip_derived_cl824])).
% 184.83/27.09  thf(zip_derived_cl14593, plain,
% 184.83/27.09      ((((nil) = (sk2)) | ((hd @ (app @ sk2 @ sk2)) = (hd @ sk2)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl14510, zip_derived_cl7, zip_derived_cl186, 
% 184.83/27.09                 zip_derived_cl186, zip_derived_cl829, zip_derived_cl829])).
% 184.83/27.09  thf(zip_derived_cl271, plain, (((nil) != (sk2))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl270])).
% 184.83/27.09  thf(zip_derived_cl14594, plain, (((hd @ (app @ sk2 @ sk2)) = (hd @ sk2))),
% 184.83/27.09      inference('simplify_reflect-', [status(thm)],
% 184.83/27.09                [zip_derived_cl14593, zip_derived_cl271])).
% 184.83/27.09  thf(clause76, axiom,
% 184.83/27.09    (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl75, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) |  (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause76])).
% 184.83/27.09  thf(zip_derived_cl15390, plain,
% 184.83/27.09      ((~ (ssList @ (app @ sk2 @ sk2))
% 184.83/27.09        |  (ssItem @ (hd @ sk2))
% 184.83/27.09        | ((nil) = (app @ sk2 @ sk2)))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl14594, zip_derived_cl75])).
% 184.83/27.09  thf(zip_derived_cl13918, plain,
% 184.83/27.09      (((app @ (skaf46 @ (app @ sk2 @ sk2) @ sk2) @ sk2) = (app @ sk2 @ sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl13905, zip_derived_cl186, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl84, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause85])).
% 184.83/27.09  thf(zip_derived_cl13981, plain,
% 184.83/27.09      ((~ (ssList @ sk2)
% 184.83/27.09        | ~ (ssList @ (skaf46 @ (app @ sk2 @ sk2) @ sk2))
% 184.83/27.09        |  (ssList @ (app @ sk2 @ sk2)))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl13918, zip_derived_cl84])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl49, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:  (ssList @ (skaf46 @ X0 @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause50])).
% 184.83/27.09  thf(zip_derived_cl14063, plain, ( (ssList @ (app @ sk2 @ sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl13981, zip_derived_cl186, zip_derived_cl49])).
% 184.83/27.09  thf(zip_derived_cl15424, plain,
% 184.83/27.09      (( (ssItem @ (hd @ sk2)) | ((nil) = (app @ sk2 @ sk2)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl15390, zip_derived_cl14063])).
% 184.83/27.09  thf(zip_derived_cl13918, plain,
% 184.83/27.09      (((app @ (skaf46 @ (app @ sk2 @ sk2) @ sk2) @ sk2) = (app @ sk2 @ sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl13905, zip_derived_cl186, zip_derived_cl186])).
% 184.83/27.09  thf(clause119, axiom,
% 184.83/27.09    (( ( app @ U @ V ) != ( nil ) ) | ( ~( ssList @ V ) ) | 
% 184.83/27.09     ( ~( ssList @ U ) ) | ( ( nil ) = ( V ) ))).
% 184.83/27.09  thf(zip_derived_cl118, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((app @ X0 @ X1) != (nil))
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((nil) = (X1)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause119])).
% 184.83/27.09  thf(zip_derived_cl14002, plain,
% 184.83/27.09      ((((app @ sk2 @ sk2) != (nil))
% 184.83/27.09        | ~ (ssList @ sk2)
% 184.83/27.09        | ~ (ssList @ (skaf46 @ (app @ sk2 @ sk2) @ sk2))
% 184.83/27.09        | ((nil) = (sk2)))),
% 184.83/27.09      inference('s_sup-', [status(thm)],
% 184.83/27.09                [zip_derived_cl13918, zip_derived_cl118])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl49, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:  (ssList @ (skaf46 @ X0 @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause50])).
% 184.83/27.09  thf(zip_derived_cl14084, plain,
% 184.83/27.09      ((((app @ sk2 @ sk2) != (nil)) | ((nil) = (sk2)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl14002, zip_derived_cl186, zip_derived_cl49])).
% 184.83/27.09  thf(zip_derived_cl271, plain, (((nil) != (sk2))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl270])).
% 184.83/27.09  thf(zip_derived_cl14085, plain, (((app @ sk2 @ sk2) != (nil))),
% 184.83/27.09      inference('simplify_reflect-', [status(thm)],
% 184.83/27.09                [zip_derived_cl14084, zip_derived_cl271])).
% 184.83/27.09  thf(zip_derived_cl15425, plain, ( (ssItem @ (hd @ sk2))),
% 184.83/27.09      inference('simplify_reflect-', [status(thm)],
% 184.83/27.09                [zip_derived_cl15424, zip_derived_cl14085])).
% 184.83/27.09  thf(zip_derived_cl3973, plain, (((app @ sk2 @ nil) = (sk2))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl3972, zip_derived_cl186])).
% 184.83/27.09  thf(clause133, axiom,
% 184.83/27.09    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ( nil ) = ( V ) ) | 
% 184.83/27.09     ( ( tl @ ( app @ V @ U ) ) = ( app @ ( tl @ V ) @ U ) ))).
% 184.83/27.09  thf(zip_derived_cl132, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ((nil) = (X1))
% 184.83/27.09          | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause133])).
% 184.83/27.09  thf(zip_derived_cl4015, plain,
% 184.83/27.09      ((~ (ssList @ nil)
% 184.83/27.09        | ~ (ssList @ sk2)
% 184.83/27.09        | ((nil) = (sk2))
% 184.83/27.09        | ((tl @ sk2) = (app @ (tl @ sk2) @ nil)))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl3973, zip_derived_cl132])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl4053, plain,
% 184.83/27.09      ((((nil) = (sk2)) | ((tl @ sk2) = (app @ (tl @ sk2) @ nil)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl4015, zip_derived_cl7, zip_derived_cl186])).
% 184.83/27.09  thf(zip_derived_cl271, plain, (((nil) != (sk2))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl270])).
% 184.83/27.09  thf(zip_derived_cl4054, plain, (((tl @ sk2) = (app @ (tl @ sk2) @ nil))),
% 184.83/27.09      inference('simplify_reflect-', [status(thm)],
% 184.83/27.09                [zip_derived_cl4053, zip_derived_cl271])).
% 184.83/27.09  thf(zip_derived_cl132, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ((nil) = (X1))
% 184.83/27.09          | ((tl @ (app @ X1 @ X0)) = (app @ (tl @ X1) @ X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause133])).
% 184.83/27.09  thf(clause75, axiom,
% 184.83/27.09    (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 184.83/27.09  thf(zip_derived_cl74, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) |  (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause75])).
% 184.83/27.09  thf(zip_derived_cl558, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((nil) = (X1))
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ (app @ X1 @ X0))
% 184.83/27.09          |  (ssList @ (app @ (tl @ X1) @ X0))
% 184.83/27.09          | ((nil) = (app @ X1 @ X0)))),
% 184.83/27.09      inference('s_sup+', [status(thm)], [zip_derived_cl132, zip_derived_cl74])).
% 184.83/27.09  thf(zip_derived_cl84, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause85])).
% 184.83/27.09  thf(zip_derived_cl6112, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((nil) = (app @ X1 @ X0))
% 184.83/27.09          |  (ssList @ (app @ (tl @ X1) @ X0))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ((nil) = (X1)))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl558, zip_derived_cl84])).
% 184.83/27.09  thf(zip_derived_cl117, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((app @ X0 @ X1) != (nil))
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((nil) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause118])).
% 184.83/27.09  thf(zip_derived_cl6113, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((nil) = (X1))
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          |  (ssList @ (app @ (tl @ X1) @ X0)))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl6112, zip_derived_cl117])).
% 184.83/27.09  thf(zip_derived_cl6116, plain,
% 184.83/27.09      ((((nil) = (sk2))
% 184.83/27.09        | ~ (ssList @ sk2)
% 184.83/27.09        | ~ (ssList @ nil)
% 184.83/27.09        |  (ssList @ (tl @ sk2)))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl4054, zip_derived_cl6113])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl6123, plain, ((((nil) = (sk2)) |  (ssList @ (tl @ sk2)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl6116, zip_derived_cl186, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl271, plain, (((nil) != (sk2))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl270])).
% 184.83/27.09  thf(zip_derived_cl6124, plain, ( (ssList @ (tl @ sk2))),
% 184.83/27.09      inference('simplify_reflect-', [status(thm)],
% 184.83/27.09                [zip_derived_cl6123, zip_derived_cl271])).
% 184.83/27.09  thf(zip_derived_cl37103, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (duplicatefreeP @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ((app @ (cons @ (hd @ sk2) @ X1) @ sk2) != (X0)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl37071, zip_derived_cl15425, zip_derived_cl6124])).
% 184.83/27.09  thf(zip_derived_cl62849, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ sk2)
% 184.83/27.09          | ((nil) = (sk2))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (duplicatefreeP @ X0)
% 184.83/27.09          | ~ (ssList @ (skaf82 @ sk2))
% 184.83/27.09          | ((app @ sk2 @ sk2) != (X0)))),
% 184.83/27.09      inference('s_sup-', [status(thm)],
% 184.83/27.09                [zip_derived_cl455, zip_derived_cl37103])).
% 184.83/27.09  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_5])).
% 184.83/27.09  thf(zip_derived_cl12, plain, (![X0 : $i]:  (ssList @ (skaf82 @ X0))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause13])).
% 184.83/27.09  thf(zip_derived_cl62861, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (((nil) = (sk2))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (duplicatefreeP @ X0)
% 184.83/27.09          | ((app @ sk2 @ sk2) != (X0)))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl62849, zip_derived_cl186, zip_derived_cl12])).
% 184.83/27.09  thf(zip_derived_cl271, plain, (((nil) != (sk2))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl270])).
% 184.83/27.09  thf(zip_derived_cl62862, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (duplicatefreeP @ X0)
% 184.83/27.09          | ((app @ sk2 @ sk2) != (X0)))),
% 184.83/27.09      inference('simplify_reflect-', [status(thm)],
% 184.83/27.09                [zip_derived_cl62861, zip_derived_cl271])).
% 184.83/27.09  thf(zip_derived_cl62871, plain,
% 184.83/27.09      ((~ (duplicatefreeP @ (app @ sk2 @ sk2)) | ~ (ssList @ (app @ sk2 @ sk2)))),
% 184.83/27.09      inference('eq_res', [status(thm)], [zip_derived_cl62862])).
% 184.83/27.09  thf(zip_derived_cl14063, plain, ( (ssList @ (app @ sk2 @ sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl13981, zip_derived_cl186, zip_derived_cl49])).
% 184.83/27.09  thf(zip_derived_cl62872, plain, (~ (duplicatefreeP @ (app @ sk2 @ sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl62871, zip_derived_cl14063])).
% 184.83/27.09  thf(zip_derived_cl62873, plain,
% 184.83/27.09      (![X0 : $i]: ( (ssItem @ X0) | ~ (ssList @ (app @ sk2 @ sk2)))),
% 184.83/27.09      inference('s_sup-', [status(thm)],
% 184.83/27.09                [zip_derived_cl71, zip_derived_cl62872])).
% 184.83/27.09  thf(zip_derived_cl14063, plain, ( (ssList @ (app @ sk2 @ sk2))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl13981, zip_derived_cl186, zip_derived_cl49])).
% 184.83/27.09  thf(zip_derived_cl62874, plain, (![X0 : $i]:  (ssItem @ X0)),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl62873, zip_derived_cl14063])).
% 184.83/27.09  thf(zip_derived_cl63189, plain, (![X0 : $i]:  (ssList @ (cons @ X0 @ nil))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl18104, zip_derived_cl62874])).
% 184.83/27.09  thf(zip_derived_cl62874, plain, (![X0 : $i]:  (ssItem @ X0)),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl62873, zip_derived_cl14063])).
% 184.83/27.09  thf(zip_derived_cl100290, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         ( (frontsegP @ (cons @ X1 @ X0) @ (cons @ X1 @ nil)) | ~ (ssList @ X0))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl5183, zip_derived_cl63189, zip_derived_cl62874])).
% 184.83/27.09  thf(zip_derived_cl100333, plain,
% 184.83/27.09      (( (frontsegP @ sk2 @ (cons @ (hd @ sk2) @ nil))
% 184.83/27.09        | ~ (ssList @ (tl @ sk2)))),
% 184.83/27.09      inference('s_sup+', [status(thm)],
% 184.83/27.09                [zip_derived_cl5647, zip_derived_cl100290])).
% 184.83/27.09  thf(zip_derived_cl6124, plain, ( (ssList @ (tl @ sk2))),
% 184.83/27.09      inference('simplify_reflect-', [status(thm)],
% 184.83/27.09                [zip_derived_cl6123, zip_derived_cl271])).
% 184.83/27.09  thf(zip_derived_cl100349, plain,
% 184.83/27.09      ( (frontsegP @ sk2 @ (cons @ (hd @ sk2) @ nil))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl100333, zip_derived_cl6124])).
% 184.83/27.09  thf(zip_derived_cl99, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssList @ X0) | ~ (ssList @ X1) |  (neq @ X1 @ X0) | ((X1) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause100])).
% 184.83/27.09  thf(co1_10, conjecture,
% 184.83/27.09    (~( ( ~( strictorderedP @ A ) ) | ( ~( segmentP @ A @ sk3 ) ) | 
% 184.83/27.09        ( ~( frontsegP @ sk4 @ A ) ) | ( ~( neq @ sk3 @ A ) ) | 
% 184.83/27.09        ( ~( ssList @ A ) ) ))).
% 184.83/27.09  thf(zf_stmt_7, negated_conjecture,
% 184.83/27.09    (( ~( strictorderedP @ A ) ) | ( ~( segmentP @ A @ sk3 ) ) | 
% 184.83/27.09     ( ~( frontsegP @ sk4 @ A ) ) | ( ~( neq @ sk3 @ A ) ) | 
% 184.83/27.09     ( ~( ssList @ A ) )),
% 184.83/27.09    inference('cnf.neg', [status(esa)], [co1_10])).
% 184.83/27.09  thf(zip_derived_cl194, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (strictorderedP @ X0)
% 184.83/27.09          | ~ (segmentP @ X0 @ sk3)
% 184.83/27.09          | ~ (frontsegP @ sk4 @ X0)
% 184.83/27.09          | ~ (neq @ sk3 @ X0)
% 184.83/27.09          | ~ (ssList @ X0))),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_7])).
% 184.83/27.09  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_2])).
% 184.83/27.09  thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_1])).
% 184.83/27.09  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 184.83/27.09      inference('cnf', [status(esa)], [zf_stmt_2])).
% 184.83/27.09  thf(zip_derived_cl200, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (strictorderedP @ X0)
% 184.83/27.09          | ~ (segmentP @ X0 @ sk1)
% 184.83/27.09          | ~ (frontsegP @ sk2 @ X0)
% 184.83/27.09          | ~ (neq @ sk1 @ X0)
% 184.83/27.09          | ~ (ssList @ X0))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl194, zip_derived_cl190, zip_derived_cl189, 
% 184.83/27.09                 zip_derived_cl190])).
% 184.83/27.09  thf(zip_derived_cl265, plain, (((sk1) = (nil))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl260, zip_derived_cl185, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl265, plain, (((sk1) = (nil))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl260, zip_derived_cl185, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl274, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (strictorderedP @ X0)
% 184.83/27.09          | ~ (segmentP @ X0 @ nil)
% 184.83/27.09          | ~ (frontsegP @ sk2 @ X0)
% 184.83/27.09          | ~ (neq @ nil @ X0)
% 184.83/27.09          | ~ (ssList @ X0))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl200, zip_derived_cl265, zip_derived_cl265])).
% 184.83/27.09  thf(zip_derived_cl55, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssList @ X0) |  (segmentP @ X0 @ nil))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause56])).
% 184.83/27.09  thf(zip_derived_cl309, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (neq @ nil @ X0)
% 184.83/27.09          | ~ (frontsegP @ sk2 @ X0)
% 184.83/27.09          | ~ (strictorderedP @ X0))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl274, zip_derived_cl55])).
% 184.83/27.09  thf(zip_derived_cl310, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (((nil) = (X0))
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (frontsegP @ sk2 @ X0)
% 184.83/27.09          | ~ (strictorderedP @ X0))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl309])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl311, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (((nil) = (X0))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (frontsegP @ sk2 @ X0)
% 184.83/27.09          | ~ (strictorderedP @ X0))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl310, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl312, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (~ (strictorderedP @ X0)
% 184.83/27.09          | ~ (frontsegP @ sk2 @ X0)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((nil) = (X0)))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl311])).
% 184.83/27.09  thf(zip_derived_cl100680, plain,
% 184.83/27.09      ((~ (strictorderedP @ (cons @ (hd @ sk2) @ nil))
% 184.83/27.09        | ~ (ssList @ (cons @ (hd @ sk2) @ nil))
% 184.83/27.09        | ((nil) = (cons @ (hd @ sk2) @ nil)))),
% 184.83/27.09      inference('s_sup-', [status(thm)],
% 184.83/27.09                [zip_derived_cl100349, zip_derived_cl312])).
% 184.83/27.09  thf(clause66, axiom,
% 184.83/27.09    (( ~( ssItem @ U ) ) | ( strictorderedP @ ( cons @ U @ nil ) ))).
% 184.83/27.09  thf(zip_derived_cl65, plain,
% 184.83/27.09      (![X0 : $i]: (~ (ssItem @ X0) |  (strictorderedP @ (cons @ X0 @ nil)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause66])).
% 184.83/27.09  thf(zip_derived_cl62874, plain, (![X0 : $i]:  (ssItem @ X0)),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl62873, zip_derived_cl14063])).
% 184.83/27.09  thf(zip_derived_cl62880, plain,
% 184.83/27.09      (![X0 : $i]:  (strictorderedP @ (cons @ X0 @ nil))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl65, zip_derived_cl62874])).
% 184.83/27.09  thf(zip_derived_cl63189, plain, (![X0 : $i]:  (ssList @ (cons @ X0 @ nil))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl18104, zip_derived_cl62874])).
% 184.83/27.09  thf(zip_derived_cl100695, plain, (((nil) = (cons @ (hd @ sk2) @ nil))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl100680, zip_derived_cl62880, zip_derived_cl63189])).
% 184.83/27.09  thf(zip_derived_cl397, plain, (((app @ nil @ nil) = (nil))),
% 184.83/27.09      inference('demod', [status(thm)], [zip_derived_cl396, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl156, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssItem @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X2)
% 184.83/27.09          | ((cons @ X0 @ (app @ X1 @ X2)) = (app @ (cons @ X0 @ X1) @ X2)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause157])).
% 184.83/27.09  thf(zip_derived_cl117, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((app @ X0 @ X1) != (nil))
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ((nil) = (X0)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause118])).
% 184.83/27.09  thf(zip_derived_cl1252, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssItem @ X2)
% 184.83/27.09          | ((cons @ X2 @ (app @ X1 @ X0)) != (nil))
% 184.83/27.09          | ~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ (cons @ X2 @ X1))
% 184.83/27.09          | ((nil) = (cons @ X2 @ X1)))),
% 184.83/27.09      inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl117])).
% 184.83/27.09  thf(zip_derived_cl1284, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (((nil) = (cons @ X2 @ X1))
% 184.83/27.09          | ~ (ssList @ (cons @ X2 @ X1))
% 184.83/27.09          | ((cons @ X2 @ (app @ X1 @ X0)) != (nil))
% 184.83/27.09          | ~ (ssItem @ X2)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0))),
% 184.83/27.09      inference('simplify', [status(thm)], [zip_derived_cl1252])).
% 184.83/27.09  thf(clause98, axiom,
% 184.83/27.09    (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) | 
% 184.83/27.09     ( ~( ssList @ V ) ))).
% 184.83/27.09  thf(zip_derived_cl97, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause98])).
% 184.83/27.09  thf(zip_derived_cl18437, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (~ (ssList @ X0)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssItem @ X2)
% 184.83/27.09          | ((cons @ X2 @ (app @ X1 @ X0)) != (nil))
% 184.83/27.09          | ~ (ssList @ (cons @ X2 @ X1)))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl1284, zip_derived_cl97])).
% 184.83/27.09  thf(zip_derived_cl85, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i]:
% 184.83/27.09         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 184.83/27.09      inference('cnf', [status(esa)], [clause86])).
% 184.83/27.09  thf(zip_derived_cl18438, plain,
% 184.83/27.09      (![X0 : $i, X1 : $i, X2 : $i]:
% 184.83/27.09         (((cons @ X2 @ (app @ X1 @ X0)) != (nil))
% 184.83/27.09          | ~ (ssItem @ X2)
% 184.83/27.09          | ~ (ssList @ X1)
% 184.83/27.09          | ~ (ssList @ X0))),
% 184.83/27.09      inference('clc', [status(thm)], [zip_derived_cl18437, zip_derived_cl85])).
% 184.83/27.09  thf(zip_derived_cl18447, plain,
% 184.83/27.09      (![X0 : $i]:
% 184.83/27.09         (((cons @ X0 @ nil) != (nil))
% 184.83/27.09          | ~ (ssItem @ X0)
% 184.83/27.09          | ~ (ssList @ nil)
% 184.83/27.09          | ~ (ssList @ nil))),
% 184.83/27.09      inference('s_sup-', [status(thm)],
% 184.83/27.09                [zip_derived_cl397, zip_derived_cl18438])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 184.83/27.09      inference('cnf', [status(esa)], [clause8])).
% 184.83/27.09  thf(zip_derived_cl18490, plain,
% 184.83/27.09      (![X0 : $i]: (((cons @ X0 @ nil) != (nil)) | ~ (ssItem @ X0))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl18447, zip_derived_cl7, zip_derived_cl7])).
% 184.83/27.09  thf(zip_derived_cl62874, plain, (![X0 : $i]:  (ssItem @ X0)),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl62873, zip_derived_cl14063])).
% 184.83/27.09  thf(zip_derived_cl63200, plain, (![X0 : $i]: ((cons @ X0 @ nil) != (nil))),
% 184.83/27.09      inference('demod', [status(thm)],
% 184.83/27.09                [zip_derived_cl18490, zip_derived_cl62874])).
% 184.83/27.09  thf(zip_derived_cl100696, plain, ($false),
% 184.83/27.09      inference('simplify_reflect-', [status(thm)],
% 184.83/27.09                [zip_derived_cl100695, zip_derived_cl63200])).
% 184.83/27.09  
% 184.83/27.09  % SZS output end Refutation
% 184.83/27.09  
% 184.83/27.09  
% 184.83/27.09  % Terminating...
% 185.32/27.17  % Runner terminated.
% 185.32/27.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------