↑ Up

Zipperpin---2.1.9999.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC204-1 : 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.TQWKNWBhbJ true

% Computer : n019.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 04:58:57 PM UTC 2025

% Result   : Unsatisfiable 0.57s 0.80s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWC204-1 : TPTP v9.2.0. Released v2.4.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TQWKNWBhbJ true
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 17:06:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.55/0.64  % Total configuration time : 435
% 0.55/0.64  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.80  % Solved by fo/fo3_bce.sh.
% 0.57/0.80  % BCE start: 47
% 0.57/0.80  % BCE eliminated: 4
% 0.57/0.80  % PE start: 43
% 0.57/0.80  logic: eq
% 0.57/0.80  % PE eliminated: 0
% 0.57/0.80  % done 62 iterations in 0.056s
% 0.57/0.80  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/0.80  % SZS output start Refutation
% 0.57/0.80  thf(nil_type, type, nil: $i).
% 0.57/0.80  thf(cons_type, type, cons: $i > $i > $i).
% 0.57/0.80  thf(sk2_type, type, sk2: $i).
% 0.57/0.80  thf(sk4_type, type, sk4: $i).
% 0.57/0.80  thf(tl_type, type, tl: $i > $i).
% 0.57/0.80  thf(hd_type, type, hd: $i > $i).
% 0.57/0.80  thf(ssItem_type, type, ssItem: $i > $o).
% 0.57/0.80  thf(sk3_type, type, sk3: $i).
% 0.57/0.80  thf(neq_type, type, neq: $i > $i > $o).
% 0.57/0.80  thf(app_type, type, app: $i > $i > $i).
% 0.57/0.80  thf(ssList_type, type, ssList: $i > $o).
% 0.57/0.80  thf(sk1_type, type, sk1: $i).
% 0.57/0.80  thf(clause76, axiom,
% 0.57/0.80    (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.57/0.80  thf(zip_derived_cl4, plain,
% 0.57/0.80      (![X0 : $i]: (~ (ssList @ X0) |  (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 0.57/0.80      inference('cnf', [status(esa)], [clause76])).
% 0.57/0.80  thf(clause75, axiom,
% 0.57/0.80    (( ~( ssList @ U ) ) | ( ssList @ ( tl @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.57/0.80  thf(zip_derived_cl3, plain,
% 0.57/0.80      (![X0 : $i]: (~ (ssList @ X0) |  (ssList @ (tl @ X0)) | ((nil) = (X0)))),
% 0.57/0.80      inference('cnf', [status(esa)], [clause75])).
% 0.57/0.80  thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 0.57/0.80  thf(zip_derived_cl2, plain,
% 0.57/0.80      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 0.57/0.80      inference('cnf', [status(esa)], [clause74])).
% 0.57/0.80  thf(clause100, axiom,
% 0.57/0.80    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) | 
% 0.57/0.80     ( ( V ) = ( U ) ))).
% 0.57/0.80  thf(zip_derived_cl13, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (~ (ssList @ X0) | ~ (ssList @ X1) |  (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.57/0.80      inference('cnf', [status(esa)], [clause100])).
% 0.57/0.80  thf(co1_11, conjecture,
% 0.57/0.80    (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) | 
% 0.57/0.80        ( ( app @ sk3 @ B ) != ( A ) ) | ( ( tl @ sk4 ) != ( B ) ) | 
% 0.57/0.80        ( ~( ssList @ B ) ) | ( ( sk4 ) = ( A ) ) | ( ~( ssList @ A ) ) ))).
% 0.57/0.80  thf(zf_stmt_0, negated_conjecture,
% 0.57/0.80    (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) | 
% 0.57/0.80     ( ( app @ sk3 @ B ) != ( A ) ) | ( ( tl @ sk4 ) != ( B ) ) | 
% 0.57/0.80     ( ~( ssList @ B ) ) | ( ( sk4 ) = ( A ) ) | ( ~( ssList @ A ) )),
% 0.57/0.80    inference('cnf.neg', [status(esa)], [co1_11])).
% 0.57/0.80  thf(zip_derived_cl36, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (~ (neq @ sk4 @ nil)
% 0.57/0.80          | ~ (neq @ nil @ sk4)
% 0.57/0.80          | ((app @ sk3 @ X1) != (X0))
% 0.57/0.80          | ((tl @ sk4) != (X1))
% 0.57/0.80          | ~ (ssList @ X1)
% 0.57/0.80          | ((sk4) = (X0))
% 0.57/0.80          | ~ (ssList @ X0))),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.80  thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.57/0.80  thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.57/0.80    inference('cnf.neg', [status(esa)], [co1_5])).
% 0.57/0.80  thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.80  thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 0.57/0.80  thf(zf_stmt_2, negated_conjecture, (neq @ sk2 @ nil),
% 0.57/0.80    inference('cnf.neg', [status(esa)], [co1_7])).
% 0.57/0.80  thf(zip_derived_cl40, plain, ( (neq @ sk2 @ nil)),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.80  thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.80  thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.57/0.80  thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.57/0.80    inference('cnf.neg', [status(esa)], [co1_6])).
% 0.57/0.80  thf(zip_derived_cl41, plain, (((sk1) = (sk3))),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.80  thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.80  thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.80  thf(zip_derived_cl308, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (~ (neq @ nil @ sk2)
% 0.57/0.80          | ((app @ sk1 @ X1) != (X0))
% 0.57/0.80          | ((tl @ sk2) != (X1))
% 0.57/0.80          | ~ (ssList @ X1)
% 0.57/0.80          | ((sk2) = (X0))
% 0.57/0.80          | ~ (ssList @ X0))),
% 0.57/0.80      inference('demod', [status(thm)],
% 0.57/0.80                [zip_derived_cl36, zip_derived_cl42, zip_derived_cl40, 
% 0.57/0.80                 zip_derived_cl42, zip_derived_cl41, zip_derived_cl42, 
% 0.57/0.80                 zip_derived_cl42])).
% 0.57/0.80  thf(zip_derived_cl317, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (((nil) = (sk2))
% 0.57/0.80          | ~ (ssList @ nil)
% 0.57/0.80          | ~ (ssList @ sk2)
% 0.57/0.80          | ~ (ssList @ X0)
% 0.57/0.80          | ((sk2) = (X0))
% 0.57/0.80          | ~ (ssList @ X1)
% 0.57/0.80          | ((tl @ sk2) != (X1))
% 0.57/0.80          | ((app @ sk1 @ X1) != (X0)))),
% 0.57/0.80      inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl308])).
% 0.57/0.80  thf(clause8, axiom, (ssList @ nil)).
% 0.57/0.80  thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.57/0.80      inference('cnf', [status(esa)], [clause8])).
% 0.57/0.80  thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 0.57/0.80  thf(zf_stmt_4, negated_conjecture, (ssList @ sk4),
% 0.57/0.80    inference('cnf.neg', [status(esa)], [co1_4])).
% 0.57/0.80  thf(zip_derived_cl43, plain, ( (ssList @ sk4)),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.80  thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.80  thf(zip_derived_cl279, plain, ( (ssList @ sk2)),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.57/0.80  thf(zip_derived_cl325, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (((nil) = (sk2))
% 0.57/0.80          | ~ (ssList @ X0)
% 0.57/0.80          | ((sk2) = (X0))
% 0.57/0.80          | ~ (ssList @ X1)
% 0.57/0.80          | ((tl @ sk2) != (X1))
% 0.57/0.80          | ((app @ sk1 @ X1) != (X0)))),
% 0.57/0.80      inference('demod', [status(thm)],
% 0.57/0.80                [zip_derived_cl317, zip_derived_cl0, zip_derived_cl279])).
% 0.57/0.80  thf(zip_derived_cl40, plain, ( (neq @ sk2 @ nil)),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.80  thf(clause115, axiom,
% 0.57/0.80    (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) | 
% 0.57/0.80     ( ~( ssList @ U ) ))).
% 0.57/0.80  thf(zip_derived_cl16, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (((X1) != (X0))
% 0.57/0.80          | ~ (neq @ X1 @ X0)
% 0.57/0.80          | ~ (ssList @ X0)
% 0.57/0.80          | ~ (ssList @ X1))),
% 0.57/0.80      inference('cnf', [status(esa)], [clause115])).
% 0.57/0.80  thf(zip_derived_cl287, plain,
% 0.57/0.80      ((~ (ssList @ sk2) | ~ (ssList @ nil) | ((sk2) != (nil)))),
% 0.57/0.80      inference('sup-', [status(thm)], [zip_derived_cl40, zip_derived_cl16])).
% 0.57/0.80  thf(zip_derived_cl279, plain, ( (ssList @ sk2)),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.57/0.80  thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.57/0.80      inference('cnf', [status(esa)], [clause8])).
% 0.57/0.80  thf(zip_derived_cl288, plain, (((sk2) != (nil))),
% 0.57/0.80      inference('demod', [status(thm)],
% 0.57/0.80                [zip_derived_cl287, zip_derived_cl279, zip_derived_cl0])).
% 0.57/0.80  thf(zip_derived_cl326, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (~ (ssList @ X0)
% 0.57/0.80          | ((sk2) = (X0))
% 0.57/0.80          | ~ (ssList @ X1)
% 0.57/0.80          | ((tl @ sk2) != (X1))
% 0.57/0.80          | ((app @ sk1 @ X1) != (X0)))),
% 0.57/0.80      inference('simplify_reflect-', [status(thm)],
% 0.57/0.80                [zip_derived_cl325, zip_derived_cl288])).
% 0.57/0.80  thf(co1_12, conjecture,
% 0.57/0.80    (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ sk1 @ nil ) ) ))).
% 0.57/0.80  thf(zf_stmt_5, negated_conjecture,
% 0.57/0.80    (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ sk1 @ nil ) )),
% 0.57/0.80    inference('cnf.neg', [status(esa)], [co1_12])).
% 0.57/0.80  thf(zip_derived_cl35, plain, ((~ (neq @ sk4 @ nil) | ~ (neq @ sk1 @ nil))),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.57/0.80  thf(zip_derived_cl42, plain, (((sk2) = (sk4))),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.57/0.80  thf(zip_derived_cl281, plain, ((~ (neq @ sk2 @ nil) | ~ (neq @ sk1 @ nil))),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl35, zip_derived_cl42])).
% 0.57/0.80  thf(zip_derived_cl40, plain, ( (neq @ sk2 @ nil)),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.80  thf(zip_derived_cl282, plain, (~ (neq @ sk1 @ nil)),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl281, zip_derived_cl40])).
% 0.57/0.80  thf(zip_derived_cl13, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (~ (ssList @ X0) | ~ (ssList @ X1) |  (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.57/0.80      inference('cnf', [status(esa)], [clause100])).
% 0.57/0.80  thf(zip_derived_cl321, plain,
% 0.57/0.80      ((((sk1) = (nil)) | ~ (ssList @ sk1) | ~ (ssList @ nil))),
% 0.57/0.80      inference('sup+', [status(thm)], [zip_derived_cl282, zip_derived_cl13])).
% 0.57/0.80  thf(co1_3, conjecture, (~( ssList @ sk3 ))).
% 0.57/0.80  thf(zf_stmt_6, negated_conjecture, (ssList @ sk3),
% 0.57/0.80    inference('cnf.neg', [status(esa)], [co1_3])).
% 0.57/0.80  thf(zip_derived_cl44, plain, ( (ssList @ sk3)),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.80  thf(zip_derived_cl41, plain, (((sk1) = (sk3))),
% 0.57/0.80      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.57/0.80  thf(zip_derived_cl280, plain, ( (ssList @ sk1)),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl44, zip_derived_cl41])).
% 0.57/0.80  thf(zip_derived_cl0, plain, ( (ssList @ nil)),
% 0.57/0.80      inference('cnf', [status(esa)], [clause8])).
% 0.57/0.80  thf(zip_derived_cl323, plain, (((sk1) = (nil))),
% 0.57/0.80      inference('demod', [status(thm)],
% 0.57/0.80                [zip_derived_cl321, zip_derived_cl280, zip_derived_cl0])).
% 0.57/0.80  thf(zip_derived_cl336, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (~ (ssList @ X0)
% 0.57/0.80          | ((sk2) = (X0))
% 0.57/0.80          | ~ (ssList @ X1)
% 0.57/0.80          | ((tl @ sk2) != (X1))
% 0.57/0.80          | ((app @ nil @ X1) != (X0)))),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl326, zip_derived_cl323])).
% 0.57/0.80  thf(zip_derived_cl338, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (((X0) != (X1))
% 0.57/0.80          | ~ (ssList @ X0)
% 0.57/0.80          | ((tl @ sk2) != (X0))
% 0.57/0.80          | ~ (ssList @ X0)
% 0.57/0.80          | ((sk2) = (X1))
% 0.57/0.80          | ~ (ssList @ X1))),
% 0.57/0.80      inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl336])).
% 0.57/0.80  thf(zip_derived_cl341, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (~ (ssList @ X1)
% 0.57/0.80          | ((sk2) = (X1))
% 0.57/0.80          | ((tl @ sk2) != (X0))
% 0.57/0.80          | ~ (ssList @ X0)
% 0.57/0.80          | ((X0) != (X1)))),
% 0.57/0.80      inference('simplify', [status(thm)], [zip_derived_cl338])).
% 0.57/0.80  thf(zip_derived_cl343, plain,
% 0.57/0.80      (![X0 : $i]:
% 0.57/0.80         (~ (ssList @ X0)
% 0.57/0.80          | ((tl @ sk2) != (X0))
% 0.57/0.80          | ((sk2) = (X0))
% 0.57/0.80          | ~ (ssList @ X0))),
% 0.57/0.80      inference('eq_res', [status(thm)], [zip_derived_cl341])).
% 0.57/0.80  thf(zip_derived_cl344, plain,
% 0.57/0.80      (![X0 : $i]: (((sk2) = (X0)) | ((tl @ sk2) != (X0)) | ~ (ssList @ X0))),
% 0.57/0.80      inference('simplify', [status(thm)], [zip_derived_cl343])).
% 0.57/0.80  thf(zip_derived_cl348, plain,
% 0.57/0.80      (![X0 : $i]:
% 0.57/0.80         (((nil) = (X0))
% 0.57/0.80          | ~ (ssList @ X0)
% 0.57/0.80          | ((tl @ sk2) != (tl @ X0))
% 0.57/0.80          | ((sk2) = (tl @ X0)))),
% 0.57/0.80      inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl344])).
% 0.57/0.80  thf(zip_derived_cl364, plain,
% 0.57/0.80      ((((sk2) = (tl @ sk2)) | ~ (ssList @ sk2) | ((nil) = (sk2)))),
% 0.57/0.80      inference('eq_res', [status(thm)], [zip_derived_cl348])).
% 0.57/0.80  thf(zip_derived_cl279, plain, ( (ssList @ sk2)),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.57/0.80  thf(zip_derived_cl365, plain, ((((sk2) = (tl @ sk2)) | ((nil) = (sk2)))),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl364, zip_derived_cl279])).
% 0.57/0.80  thf(zip_derived_cl288, plain, (((sk2) != (nil))),
% 0.57/0.80      inference('demod', [status(thm)],
% 0.57/0.80                [zip_derived_cl287, zip_derived_cl279, zip_derived_cl0])).
% 0.57/0.80  thf(zip_derived_cl366, plain, (((sk2) = (tl @ sk2))),
% 0.57/0.80      inference('simplify_reflect-', [status(thm)],
% 0.57/0.80                [zip_derived_cl365, zip_derived_cl288])).
% 0.57/0.80  thf(clause104, axiom,
% 0.57/0.80    (( ~( ssList @ U ) ) | ( ( cons @ ( hd @ U ) @ ( tl @ U ) ) = ( U ) ) | 
% 0.57/0.80     ( ( nil ) = ( U ) ))).
% 0.57/0.80  thf(zip_derived_cl15, plain,
% 0.57/0.80      (![X0 : $i]:
% 0.57/0.80         (~ (ssList @ X0)
% 0.57/0.80          | ((cons @ (hd @ X0) @ (tl @ X0)) = (X0))
% 0.57/0.80          | ((nil) = (X0)))),
% 0.57/0.80      inference('cnf', [status(esa)], [clause104])).
% 0.57/0.80  thf(zip_derived_cl446, plain,
% 0.57/0.80      ((((cons @ (hd @ sk2) @ sk2) = (sk2))
% 0.57/0.80        | ((nil) = (sk2))
% 0.57/0.80        | ~ (ssList @ sk2))),
% 0.57/0.80      inference('sup+', [status(thm)], [zip_derived_cl366, zip_derived_cl15])).
% 0.57/0.80  thf(zip_derived_cl279, plain, ( (ssList @ sk2)),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.57/0.80  thf(zip_derived_cl448, plain,
% 0.57/0.80      ((((cons @ (hd @ sk2) @ sk2) = (sk2)) | ((nil) = (sk2)))),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl446, zip_derived_cl279])).
% 0.57/0.80  thf(zip_derived_cl288, plain, (((sk2) != (nil))),
% 0.57/0.80      inference('demod', [status(thm)],
% 0.57/0.80                [zip_derived_cl287, zip_derived_cl279, zip_derived_cl0])).
% 0.57/0.80  thf(zip_derived_cl449, plain, (((cons @ (hd @ sk2) @ sk2) = (sk2))),
% 0.57/0.80      inference('simplify_reflect-', [status(thm)],
% 0.57/0.80                [zip_derived_cl448, zip_derived_cl288])).
% 0.57/0.80  thf(clause99, axiom,
% 0.57/0.80    (( ( cons @ U @ V ) != ( V ) ) | ( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ))).
% 0.57/0.80  thf(zip_derived_cl12, plain,
% 0.57/0.80      (![X0 : $i, X1 : $i]:
% 0.57/0.80         (((cons @ X1 @ X0) != (X0)) | ~ (ssItem @ X1) | ~ (ssList @ X0))),
% 0.57/0.80      inference('cnf', [status(esa)], [clause99])).
% 0.57/0.80  thf(zip_derived_cl455, plain,
% 0.57/0.80      ((((sk2) != (sk2)) | ~ (ssList @ sk2) | ~ (ssItem @ (hd @ sk2)))),
% 0.57/0.80      inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl12])).
% 0.57/0.80  thf(zip_derived_cl279, plain, ( (ssList @ sk2)),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.57/0.80  thf(zip_derived_cl461, plain, ((((sk2) != (sk2)) | ~ (ssItem @ (hd @ sk2)))),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl455, zip_derived_cl279])).
% 0.57/0.80  thf(zip_derived_cl462, plain, (~ (ssItem @ (hd @ sk2))),
% 0.57/0.80      inference('simplify', [status(thm)], [zip_derived_cl461])).
% 0.57/0.80  thf(zip_derived_cl464, plain, ((((nil) = (sk2)) | ~ (ssList @ sk2))),
% 0.57/0.80      inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl462])).
% 0.57/0.80  thf(zip_derived_cl279, plain, ( (ssList @ sk2)),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl42])).
% 0.57/0.80  thf(zip_derived_cl465, plain, (((nil) = (sk2))),
% 0.57/0.80      inference('demod', [status(thm)], [zip_derived_cl464, zip_derived_cl279])).
% 0.57/0.80  thf(zip_derived_cl288, plain, (((sk2) != (nil))),
% 0.57/0.80      inference('demod', [status(thm)],
% 0.57/0.80                [zip_derived_cl287, zip_derived_cl279, zip_derived_cl0])).
% 0.57/0.80  thf(zip_derived_cl466, plain, ($false),
% 0.57/0.80      inference('simplify_reflect-', [status(thm)],
% 0.57/0.80                [zip_derived_cl465, zip_derived_cl288])).
% 0.57/0.80  
% 0.57/0.80  % SZS output end Refutation
% 0.57/0.80  
% 0.57/0.80  
% 0.57/0.80  % Terminating...
% 0.57/0.85  % Runner terminated.
% 1.75/0.86  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------