TSTP Solution File: SWC420-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC420-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h5SXMlbzWu true

% Computer : n001.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 Aug 31 21:31:29 EDT 2023

% Result   : Unsatisfiable 3.70s 1.34s
% Output   : Refutation 3.70s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC420-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.h5SXMlbzWu true
% 0.17/0.34  % Computer : n001.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Mon Aug 28 18:43:50 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.17/0.34  % Running portfolio for 300 s
% 0.17/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.34  % Number of cores: 8
% 0.17/0.34  % Python version: Python 3.6.8
% 0.17/0.35  % Running in FO mode
% 0.20/0.65  % Total configuration time : 435
% 0.20/0.65  % Estimated wc time : 1092
% 0.20/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.70/1.34  % Solved by fo/fo13.sh.
% 3.70/1.34  % done 564 iterations in 0.565s
% 3.70/1.34  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.70/1.34  % SZS output start Refutation
% 3.70/1.34  thf(nil_type, type, nil: $i).
% 3.70/1.34  thf(cons_type, type, cons: $i > $i > $i).
% 3.70/1.34  thf(sk2_type, type, sk2: $i).
% 3.70/1.34  thf(sk4_type, type, sk4: $i).
% 3.70/1.34  thf(ssItem_type, type, ssItem: $i > $o).
% 3.70/1.34  thf(skaf82_type, type, skaf82: $i > $i).
% 3.70/1.34  thf(sk3_type, type, sk3: $i).
% 3.70/1.34  thf(skaf83_type, type, skaf83: $i > $i).
% 3.70/1.34  thf(neq_type, type, neq: $i > $i > $o).
% 3.70/1.34  thf(app_type, type, app: $i > $i > $i).
% 3.70/1.34  thf(ssList_type, type, ssList: $i > $o).
% 3.70/1.34  thf(sk1_type, type, sk1: $i).
% 3.70/1.34  thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 3.70/1.34  thf(zf_stmt_0, negated_conjecture, (neq @ sk2 @ nil),
% 3.70/1.34    inference('cnf.neg', [status(esa)], [co1_7])).
% 3.70/1.34  thf(zip_derived_cl191, plain, ( (neq @ sk2 @ nil)),
% 3.70/1.34      inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.70/1.34  thf(clause109, axiom,
% 3.70/1.34    (( ~( ssList @ U ) ) | 
% 3.70/1.34     ( ( cons @ ( skaf83 @ U ) @ ( skaf82 @ U ) ) = ( U ) ) | 
% 3.70/1.34     ( ( nil ) = ( U ) ))).
% 3.70/1.34  thf(zip_derived_cl108, plain,
% 3.70/1.34      (![X0 : $i]:
% 3.70/1.34         (~ (ssList @ X0)
% 3.70/1.34          | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 3.70/1.34          | ((nil) = (X0)))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause109])).
% 3.70/1.34  thf(clause86, axiom,
% 3.70/1.34    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 3.70/1.34  thf(zip_derived_cl85, plain,
% 3.70/1.34      (![X0 : $i, X1 : $i]:
% 3.70/1.34         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause86])).
% 3.70/1.34  thf(clause120, axiom,
% 3.70/1.34    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | 
% 3.70/1.34     ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 3.70/1.34  thf(zip_derived_cl119, plain,
% 3.70/1.34      (![X0 : $i, X1 : $i]:
% 3.70/1.34         (~ (ssItem @ X0)
% 3.70/1.34          | ~ (ssList @ X1)
% 3.70/1.34          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause120])).
% 3.70/1.34  thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 3.70/1.34  thf(zip_derived_cl73, plain,
% 3.70/1.34      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause74])).
% 3.70/1.34  thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 3.70/1.34  thf(zip_derived_cl72, plain,
% 3.70/1.34      (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause73])).
% 3.70/1.34  thf(zip_derived_cl108, plain,
% 3.70/1.34      (![X0 : $i]:
% 3.70/1.34         (~ (ssList @ X0)
% 3.70/1.34          | ((cons @ (skaf83 @ X0) @ (skaf82 @ X0)) = (X0))
% 3.70/1.34          | ((nil) = (X0)))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause109])).
% 3.70/1.34  thf(zip_derived_cl119, plain,
% 3.70/1.34      (![X0 : $i, X1 : $i]:
% 3.70/1.34         (~ (ssItem @ X0)
% 3.70/1.34          | ~ (ssList @ X1)
% 3.70/1.34          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause120])).
% 3.70/1.34  thf(co1_9, conjecture,
% 3.70/1.34    (~( ( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) | 
% 3.70/1.34        ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) | 
% 3.70/1.34        ( ~( ssItem @ A ) ) ))).
% 3.70/1.34  thf(zf_stmt_1, negated_conjecture,
% 3.70/1.34    (( ( app @ ( cons @ A @ nil ) @ B ) != ( sk4 ) ) | 
% 3.70/1.34     ( ( app @ B @ ( cons @ A @ nil ) ) = ( sk3 ) ) | ( ~( ssList @ B ) ) | 
% 3.70/1.34     ( ~( ssItem @ A ) )),
% 3.70/1.34    inference('cnf.neg', [status(esa)], [co1_9])).
% 3.70/1.34  thf(zip_derived_cl193, plain,
% 3.70/1.34      (![X0 : $i, X1 : $i]:
% 3.70/1.34         (((app @ (cons @ X0 @ nil) @ X1) != (sk4))
% 3.70/1.34          | ((app @ X1 @ (cons @ X0 @ nil)) = (sk3))
% 3.70/1.34          | ~ (ssList @ X1)
% 3.70/1.34          | ~ (ssItem @ X0))),
% 3.70/1.34      inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.70/1.34  thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 3.70/1.34  thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 3.70/1.34    inference('cnf.neg', [status(esa)], [co1_5])).
% 3.70/1.34  thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 3.70/1.34      inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.70/1.34  thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 3.70/1.34  thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 3.70/1.34    inference('cnf.neg', [status(esa)], [co1_6])).
% 3.70/1.34  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 3.70/1.34      inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.70/1.34  thf(zip_derived_cl198, plain,
% 3.70/1.34      (![X0 : $i, X1 : $i]:
% 3.70/1.34         (((app @ (cons @ X0 @ nil) @ X1) != (sk2))
% 3.70/1.34          | ((app @ X1 @ (cons @ X0 @ nil)) = (sk1))
% 3.70/1.34          | ~ (ssList @ X1)
% 3.70/1.34          | ~ (ssItem @ X0))),
% 3.70/1.34      inference('demod', [status(thm)],
% 3.70/1.34                [zip_derived_cl193, zip_derived_cl189, zip_derived_cl190])).
% 3.70/1.34  thf(zip_derived_cl699, plain,
% 3.70/1.34      (![X0 : $i, X1 : $i]:
% 3.70/1.34         (~ (ssList @ X0)
% 3.70/1.34          | ~ (ssItem @ X1)
% 3.70/1.34          | ((cons @ X1 @ X0) != (sk2))
% 3.70/1.34          | ((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 3.70/1.34          | ~ (ssList @ X0)
% 3.70/1.34          | ~ (ssItem @ X1))),
% 3.70/1.34      inference('s_sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl198])).
% 3.70/1.34  thf(zip_derived_cl703, plain,
% 3.70/1.34      (![X0 : $i, X1 : $i]:
% 3.70/1.34         (((app @ X0 @ (cons @ X1 @ nil)) = (sk1))
% 3.70/1.34          | ((cons @ X1 @ X0) != (sk2))
% 3.70/1.34          | ~ (ssItem @ X1)
% 3.70/1.34          | ~ (ssList @ X0))),
% 3.70/1.34      inference('simplify', [status(thm)], [zip_derived_cl699])).
% 3.70/1.34  thf(zip_derived_cl856, plain,
% 3.70/1.34      (![X0 : $i]:
% 3.70/1.34         (((nil) = (X0))
% 3.70/1.34          | ~ (ssList @ X0)
% 3.70/1.34          | ((app @ (skaf82 @ X0) @ (cons @ (skaf83 @ X0) @ nil)) = (sk1))
% 3.70/1.34          | ((X0) != (sk2))
% 3.70/1.34          | ~ (ssItem @ (skaf83 @ X0))
% 3.70/1.34          | ~ (ssList @ (skaf82 @ X0)))),
% 3.70/1.34      inference('s_sup-', [status(thm)], [zip_derived_cl108, zip_derived_cl703])).
% 3.70/1.34  thf(clause12, axiom, (ssItem @ ( skaf83 @ U ))).
% 3.70/1.34  thf(zip_derived_cl11, plain, (![X0 : $i]:  (ssItem @ (skaf83 @ X0))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause12])).
% 3.70/1.34  thf(clause13, axiom, (ssList @ ( skaf82 @ U ))).
% 3.70/1.34  thf(zip_derived_cl12, plain, (![X0 : $i]:  (ssList @ (skaf82 @ X0))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause13])).
% 3.70/1.34  thf(zip_derived_cl860, plain,
% 3.70/1.34      (![X0 : $i]:
% 3.70/1.34         (((nil) = (X0))
% 3.70/1.34          | ~ (ssList @ X0)
% 3.70/1.34          | ((app @ (skaf82 @ X0) @ (cons @ (skaf83 @ X0) @ nil)) = (sk1))
% 3.70/1.34          | ((X0) != (sk2)))),
% 3.70/1.34      inference('demod', [status(thm)],
% 3.70/1.34                [zip_derived_cl856, zip_derived_cl11, zip_derived_cl12])).
% 3.70/1.34  thf(zip_derived_cl896, plain,
% 3.70/1.34      ((((app @ (skaf82 @ sk2) @ (cons @ (skaf83 @ sk2) @ nil)) = (sk1))
% 3.70/1.34        | ~ (ssList @ sk2)
% 3.70/1.34        | ((nil) = (sk2)))),
% 3.70/1.34      inference('eq_res', [status(thm)], [zip_derived_cl860])).
% 3.70/1.34  thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 3.70/1.34  thf(zf_stmt_4, negated_conjecture, (ssList @ sk2),
% 3.70/1.34    inference('cnf.neg', [status(esa)], [co1_2])).
% 3.70/1.34  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 3.70/1.34      inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.70/1.34  thf(zip_derived_cl897, plain,
% 3.70/1.34      ((((app @ (skaf82 @ sk2) @ (cons @ (skaf83 @ sk2) @ nil)) = (sk1))
% 3.70/1.34        | ((nil) = (sk2)))),
% 3.70/1.34      inference('demod', [status(thm)], [zip_derived_cl896, zip_derived_cl186])).
% 3.70/1.34  thf(co1_8, conjecture,
% 3.70/1.34    (~( ( ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ B ) != ( sk1 ) ) | 
% 3.70/1.34        ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) | 
% 3.70/1.34        ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 3.70/1.34  thf(zf_stmt_5, negated_conjecture,
% 3.70/1.34    (( ( app @ ( app @ C @ ( cons @ A @ nil ) ) @ B ) != ( sk1 ) ) | 
% 3.70/1.34     ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk2 ) ) | 
% 3.70/1.34     ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 3.70/1.34    inference('cnf.neg', [status(esa)], [co1_8])).
% 3.70/1.34  thf(zip_derived_cl192, plain,
% 3.70/1.34      (![X0 : $i, X1 : $i, X2 : $i]:
% 3.70/1.34         (((app @ (app @ X0 @ (cons @ X1 @ nil)) @ X2) != (sk1))
% 3.70/1.34          | ((app @ (app @ X2 @ (cons @ X1 @ nil)) @ X0) != (sk2))
% 3.70/1.34          | ~ (ssList @ X0)
% 3.70/1.34          | ~ (ssList @ X2)
% 3.70/1.34          | ~ (ssItem @ X1))),
% 3.70/1.34      inference('cnf', [status(esa)], [zf_stmt_5])).
% 3.70/1.34  thf(zip_derived_cl1165, plain,
% 3.70/1.34      (![X0 : $i]:
% 3.70/1.34         (((nil) = (sk2))
% 3.70/1.34          | ((app @ sk1 @ X0) != (sk1))
% 3.70/1.34          | ((app @ (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)) @ (skaf82 @ sk2))
% 3.70/1.34              != (sk2))
% 3.70/1.34          | ~ (ssList @ (skaf82 @ sk2))
% 3.70/1.34          | ~ (ssList @ X0)
% 3.70/1.34          | ~ (ssItem @ (skaf83 @ sk2)))),
% 3.70/1.34      inference('s_sup-', [status(thm)], [zip_derived_cl897, zip_derived_cl192])).
% 3.70/1.34  thf(zip_derived_cl12, plain, (![X0 : $i]:  (ssList @ (skaf82 @ X0))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause13])).
% 3.70/1.34  thf(zip_derived_cl11, plain, (![X0 : $i]:  (ssItem @ (skaf83 @ X0))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause12])).
% 3.70/1.34  thf(zip_derived_cl1174, plain,
% 3.70/1.34      (![X0 : $i]:
% 3.70/1.34         (((nil) = (sk2))
% 3.70/1.34          | ((app @ sk1 @ X0) != (sk1))
% 3.70/1.34          | ((app @ (app @ X0 @ (cons @ (skaf83 @ sk2) @ nil)) @ (skaf82 @ sk2))
% 3.70/1.34              != (sk2))
% 3.70/1.34          | ~ (ssList @ X0))),
% 3.70/1.34      inference('demod', [status(thm)],
% 3.70/1.34                [zip_derived_cl1165, zip_derived_cl12, zip_derived_cl11])).
% 3.70/1.34  thf(zip_derived_cl3184, plain,
% 3.70/1.34      ((~ (ssList @ sk1)
% 3.70/1.34        | ((nil) = (sk2))
% 3.70/1.34        | ((sk1) != (sk1))
% 3.70/1.34        | ((app @ (app @ nil @ (cons @ (skaf83 @ sk2) @ nil)) @ (skaf82 @ sk2))
% 3.70/1.34            != (sk2))
% 3.70/1.34        | ~ (ssList @ nil))),
% 3.70/1.34      inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl1174])).
% 3.70/1.34  thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 3.70/1.34  thf(zf_stmt_6, negated_conjecture, (ssList @ sk1),
% 3.70/1.34    inference('cnf.neg', [status(esa)], [co1_1])).
% 3.70/1.34  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 3.70/1.34      inference('cnf', [status(esa)], [zf_stmt_6])).
% 3.70/1.34  thf(clause8, axiom, (ssList @ nil)).
% 3.70/1.34  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 3.70/1.34      inference('cnf', [status(esa)], [clause8])).
% 3.70/1.34  thf(zip_derived_cl3185, plain,
% 3.70/1.34      ((((nil) = (sk2))
% 3.70/1.34        | ((sk1) != (sk1))
% 3.70/1.34        | ((app @ (app @ nil @ (cons @ (skaf83 @ sk2) @ nil)) @ (skaf82 @ sk2))
% 3.70/1.34            != (sk2)))),
% 3.70/1.34      inference('demod', [status(thm)],
% 3.70/1.34                [zip_derived_cl3184, zip_derived_cl185, zip_derived_cl7])).
% 3.70/1.34  thf(zip_derived_cl3186, plain,
% 3.70/1.34      ((((app @ (app @ nil @ (cons @ (skaf83 @ sk2) @ nil)) @ (skaf82 @ sk2))
% 3.70/1.34          != (sk2))
% 3.70/1.34        | ((nil) = (sk2)))),
% 3.70/1.34      inference('simplify', [status(thm)], [zip_derived_cl3185])).
% 3.70/1.34  thf(zip_derived_cl3189, plain,
% 3.70/1.34      ((~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 3.70/1.34        | ((app @ (cons @ (skaf83 @ sk2) @ nil) @ (skaf82 @ sk2)) != (sk2))
% 3.70/1.34        | ((nil) = (sk2)))),
% 3.70/1.34      inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl3186])).
% 3.70/1.34  thf(zip_derived_cl3224, plain,
% 3.70/1.34      ((~ (ssList @ (skaf82 @ sk2))
% 3.70/1.34        | ~ (ssItem @ (skaf83 @ sk2))
% 3.70/1.34        | ~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 3.70/1.34        | ((cons @ (skaf83 @ sk2) @ (skaf82 @ sk2)) != (sk2))
% 3.70/1.34        | ((nil) = (sk2)))),
% 3.70/1.34      inference('s_sup-', [status(thm)],
% 3.70/1.34                [zip_derived_cl119, zip_derived_cl3189])).
% 3.70/1.34  thf(zip_derived_cl12, plain, (![X0 : $i]:  (ssList @ (skaf82 @ X0))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause13])).
% 3.70/1.34  thf(zip_derived_cl11, plain, (![X0 : $i]:  (ssItem @ (skaf83 @ X0))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause12])).
% 3.70/1.34  thf(zip_derived_cl3228, plain,
% 3.70/1.34      ((~ (ssList @ (cons @ (skaf83 @ sk2) @ nil))
% 3.70/1.34        | ((cons @ (skaf83 @ sk2) @ (skaf82 @ sk2)) != (sk2))
% 3.70/1.34        | ((nil) = (sk2)))),
% 3.70/1.34      inference('demod', [status(thm)],
% 3.70/1.34                [zip_derived_cl3224, zip_derived_cl12, zip_derived_cl11])).
% 3.70/1.34  thf(zip_derived_cl3275, plain,
% 3.70/1.34      ((~ (ssList @ nil)
% 3.70/1.34        | ~ (ssItem @ (skaf83 @ sk2))
% 3.70/1.34        | ((cons @ (skaf83 @ sk2) @ (skaf82 @ sk2)) != (sk2))
% 3.70/1.34        | ((nil) = (sk2)))),
% 3.70/1.34      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl3228])).
% 3.70/1.34  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 3.70/1.34      inference('cnf', [status(esa)], [clause8])).
% 3.70/1.34  thf(zip_derived_cl11, plain, (![X0 : $i]:  (ssItem @ (skaf83 @ X0))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause12])).
% 3.70/1.34  thf(zip_derived_cl3277, plain,
% 3.70/1.34      ((((cons @ (skaf83 @ sk2) @ (skaf82 @ sk2)) != (sk2)) | ((nil) = (sk2)))),
% 3.70/1.34      inference('demod', [status(thm)],
% 3.70/1.34                [zip_derived_cl3275, zip_derived_cl7, zip_derived_cl11])).
% 3.70/1.34  thf(zip_derived_cl3280, plain,
% 3.70/1.34      ((((nil) = (sk2)) | ~ (ssList @ sk2) | ((sk2) != (sk2)) | ((nil) = (sk2)))),
% 3.70/1.34      inference('s_sup-', [status(thm)],
% 3.70/1.34                [zip_derived_cl108, zip_derived_cl3277])).
% 3.70/1.34  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 3.70/1.34      inference('cnf', [status(esa)], [zf_stmt_4])).
% 3.70/1.34  thf(zip_derived_cl3283, plain,
% 3.70/1.34      ((((nil) = (sk2)) | ((sk2) != (sk2)) | ((nil) = (sk2)))),
% 3.70/1.34      inference('demod', [status(thm)], [zip_derived_cl3280, zip_derived_cl186])).
% 3.70/1.34  thf(zip_derived_cl3284, plain, (((nil) = (sk2))),
% 3.70/1.34      inference('simplify', [status(thm)], [zip_derived_cl3283])).
% 3.70/1.34  thf(zip_derived_cl3293, plain, ( (neq @ nil @ nil)),
% 3.70/1.34      inference('demod', [status(thm)], [zip_derived_cl191, zip_derived_cl3284])).
% 3.70/1.34  thf(clause115, axiom,
% 3.70/1.34    (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) | 
% 3.70/1.34     ( ~( ssList @ U ) ))).
% 3.70/1.34  thf(zip_derived_cl114, plain,
% 3.70/1.34      (![X0 : $i, X1 : $i]:
% 3.70/1.34         (((X1) != (X0))
% 3.70/1.34          | ~ (neq @ X1 @ X0)
% 3.70/1.34          | ~ (ssList @ X0)
% 3.70/1.34          | ~ (ssList @ X1))),
% 3.70/1.34      inference('cnf', [status(esa)], [clause115])).
% 3.70/1.34  thf(zip_derived_cl203, plain,
% 3.70/1.34      (![X0 : $i]: (~ (ssList @ X0) | ~ (ssList @ X0) | ~ (neq @ X0 @ X0))),
% 3.70/1.34      inference('eq_res', [status(thm)], [zip_derived_cl114])).
% 3.70/1.34  thf(zip_derived_cl204, plain,
% 3.70/1.34      (![X0 : $i]: (~ (neq @ X0 @ X0) | ~ (ssList @ X0))),
% 3.70/1.34      inference('simplify', [status(thm)], [zip_derived_cl203])).
% 3.70/1.34  thf(zip_derived_cl3368, plain, (~ (ssList @ nil)),
% 3.70/1.34      inference('s_sup-', [status(thm)],
% 3.70/1.34                [zip_derived_cl3293, zip_derived_cl204])).
% 3.70/1.34  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 3.70/1.34      inference('cnf', [status(esa)], [clause8])).
% 3.70/1.34  thf(zip_derived_cl3370, plain, ($false),
% 3.70/1.34      inference('demod', [status(thm)], [zip_derived_cl3368, zip_derived_cl7])).
% 3.70/1.34  
% 3.70/1.34  % SZS output end Refutation
% 3.70/1.34  
% 3.70/1.34  
% 3.70/1.34  % Terminating...
% 3.70/1.39  % Runner terminated.
% 3.70/1.42  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------