TSTP Solution File: SWC219-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC219-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RiTVCMylVG true

% Computer : n014.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 21:29:58 EDT 2023

% Result   : Unsatisfiable 4.51s 1.23s
% Output   : Refutation 4.51s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWC219-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RiTVCMylVG true
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Aug 28 18:03:46 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.51/1.23  % Solved by fo/fo6_bce.sh.
% 4.51/1.23  % BCE start: 205
% 4.51/1.23  % BCE eliminated: 4
% 4.51/1.23  % PE start: 201
% 4.51/1.23  logic: eq
% 4.51/1.23  % PE eliminated: 6
% 4.51/1.23  % done 412 iterations in 0.528s
% 4.51/1.23  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.51/1.23  % SZS output start Refutation
% 4.51/1.23  thf(nil_type, type, nil: $i).
% 4.51/1.23  thf(sk5_type, type, sk5: $i > $i > $i > $i).
% 4.51/1.23  thf(cons_type, type, cons: $i > $i > $i).
% 4.51/1.23  thf(duplicatefreeP_type, type, duplicatefreeP: $i > $o).
% 4.51/1.23  thf(memberP_type, type, memberP: $i > $i > $o).
% 4.51/1.23  thf(ssItem_type, type, ssItem: $i > $o).
% 4.51/1.23  thf(sk3_type, type, sk3: $i).
% 4.51/1.23  thf(sk6_type, type, sk6: $i).
% 4.51/1.23  thf(app_type, type, app: $i > $i > $i).
% 4.51/1.23  thf(ssList_type, type, ssList: $i > $o).
% 4.51/1.23  thf(sk1_type, type, sk1: $i).
% 4.51/1.23  thf(clause74, axiom, (( ~( ssList @ U ) ) | ( ( app @ nil @ U ) = ( U ) ))).
% 4.51/1.23  thf(zip_derived_cl73, plain,
% 4.51/1.23      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 4.51/1.23      inference('cnf', [status(esa)], [clause74])).
% 4.51/1.23  thf(clause73, axiom, (( ~( ssList @ U ) ) | ( ( app @ U @ nil ) = ( U ) ))).
% 4.51/1.23  thf(zip_derived_cl72, plain,
% 4.51/1.23      (![X0 : $i]: (~ (ssList @ X0) | ((app @ X0 @ nil) = (X0)))),
% 4.51/1.23      inference('cnf', [status(esa)], [clause73])).
% 4.51/1.23  thf(co1_18, conjecture,
% 4.51/1.23    (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk6 @ nil ) = ( sk3 ) ) ))).
% 4.51/1.23  thf(zf_stmt_0, negated_conjecture,
% 4.51/1.23    (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk6 @ nil ) = ( sk3 ) )),
% 4.51/1.23    inference('cnf.neg', [status(esa)], [co1_18])).
% 4.51/1.23  thf(zip_derived_cl202, plain,
% 4.51/1.23      ((((nil) = (sk3)) | ((cons @ sk6 @ nil) = (sk3)))),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.51/1.23  thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 4.51/1.23  thf(zf_stmt_1, negated_conjecture, (( sk1 ) = ( sk3 )),
% 4.51/1.23    inference('cnf.neg', [status(esa)], [co1_6])).
% 4.51/1.23  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.51/1.23  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.51/1.23  thf(zip_derived_cl1411, plain,
% 4.51/1.23      ((((nil) = (sk1)) | ((cons @ sk6 @ nil) = (sk1)))),
% 4.51/1.23      inference('demod', [status(thm)],
% 4.51/1.23                [zip_derived_cl202, zip_derived_cl190, zip_derived_cl190])).
% 4.51/1.23  thf(co1_7, conjecture, (( nil ) = ( sk1 ))).
% 4.51/1.23  thf(zf_stmt_2, negated_conjecture, (( nil ) != ( sk1 )),
% 4.51/1.23    inference('cnf.neg', [status(esa)], [co1_7])).
% 4.51/1.23  thf(zip_derived_cl191, plain, (((nil) != (sk1))),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.51/1.23  thf(zip_derived_cl1412, plain, (((cons @ sk6 @ nil) = (sk1))),
% 4.51/1.23      inference('simplify_reflect-', [status(thm)],
% 4.51/1.23                [zip_derived_cl1411, zip_derived_cl191])).
% 4.51/1.23  thf(co1_9, conjecture,
% 4.51/1.23    (~( ( memberP @ B @ ( sk5 @ C @ B @ A ) ) | 
% 4.51/1.23        ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) | 
% 4.51/1.23        ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) ) ))).
% 4.51/1.23  thf(zf_stmt_3, negated_conjecture,
% 4.51/1.23    (( memberP @ B @ ( sk5 @ C @ B @ A ) ) | 
% 4.51/1.23     ( ( app @ ( app @ B @ ( cons @ A @ nil ) ) @ C ) != ( sk1 ) ) | 
% 4.51/1.23     ( ~( ssList @ C ) ) | ( ~( ssList @ B ) ) | ( ~( ssItem @ A ) )),
% 4.51/1.23    inference('cnf.neg', [status(esa)], [co1_9])).
% 4.51/1.23  thf(zip_derived_cl193, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.51/1.23         ( (memberP @ X0 @ (sk5 @ X1 @ X0 @ X2))
% 4.51/1.23          | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk1))
% 4.51/1.23          | ~ (ssList @ X1)
% 4.51/1.23          | ~ (ssList @ X0)
% 4.51/1.23          | ~ (ssItem @ X2))),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_3])).
% 4.51/1.23  thf(clause85, axiom,
% 4.51/1.23    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 4.51/1.23  thf(zip_derived_cl84, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i]:
% 4.51/1.23         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 4.51/1.23      inference('cnf', [status(esa)], [clause85])).
% 4.51/1.23  thf(zip_derived_cl73, plain,
% 4.51/1.23      (![X0 : $i]: (~ (ssList @ X0) | ((app @ nil @ X0) = (X0)))),
% 4.51/1.23      inference('cnf', [status(esa)], [clause74])).
% 4.51/1.23  thf(zip_derived_cl1412, plain, (((cons @ sk6 @ nil) = (sk1))),
% 4.51/1.23      inference('simplify_reflect-', [status(thm)],
% 4.51/1.23                [zip_derived_cl1411, zip_derived_cl191])).
% 4.51/1.23  thf(zip_derived_cl1412, plain, (((cons @ sk6 @ nil) = (sk1))),
% 4.51/1.23      inference('simplify_reflect-', [status(thm)],
% 4.51/1.23                [zip_derived_cl1411, zip_derived_cl191])).
% 4.51/1.23  thf(clause72, axiom,
% 4.51/1.23    (( ~( ssList @ U ) ) | ( duplicatefreeP @ U ) | ( ssItem @ V ))).
% 4.51/1.23  thf(zip_derived_cl71, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i]:
% 4.51/1.23         (~ (ssList @ X0) |  (duplicatefreeP @ X0) |  (ssItem @ X1))),
% 4.51/1.23      inference('cnf', [status(esa)], [clause72])).
% 4.51/1.23  thf(clause179, axiom,
% 4.51/1.23    (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ V @ X ) ) != ( Y ) ) | 
% 4.51/1.23     ( ~( ssList @ X ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) | 
% 4.51/1.23     ( ~( ssItem @ V ) ) | ( ~( duplicatefreeP @ Y ) ) | ( ~( ssList @ Y ) ))).
% 4.51/1.23  thf(zip_derived_cl178, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.51/1.23         (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X4)) != (X0))
% 4.51/1.23          | ~ (ssList @ X4)
% 4.51/1.23          | ~ (ssList @ X3)
% 4.51/1.23          | ~ (ssList @ X1)
% 4.51/1.23          | ~ (ssItem @ X2)
% 4.51/1.23          | ~ (duplicatefreeP @ X0)
% 4.51/1.23          | ~ (ssList @ X0))),
% 4.51/1.23      inference('cnf', [status(esa)], [clause179])).
% 4.51/1.23  thf(zip_derived_cl1389, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.51/1.23         ( (ssItem @ X1)
% 4.51/1.23          | ~ (ssList @ X0)
% 4.51/1.23          | ~ (ssList @ X0)
% 4.51/1.23          | ~ (ssItem @ X3)
% 4.51/1.23          | ~ (ssList @ X5)
% 4.51/1.23          | ~ (ssList @ X4)
% 4.51/1.23          | ~ (ssList @ X2)
% 4.51/1.23          | ((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0)))),
% 4.51/1.23      inference('dp-resolution', [status(thm)],
% 4.51/1.23                [zip_derived_cl71, zip_derived_cl178])).
% 4.51/1.23  thf(zip_derived_cl1474, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 4.51/1.23         (((app @ (app @ X5 @ (cons @ X3 @ X4)) @ (cons @ X3 @ X2)) != (X0))
% 4.51/1.23          | ~ (ssList @ X2)
% 4.51/1.23          | ~ (ssList @ X4)
% 4.51/1.23          | ~ (ssList @ X5)
% 4.51/1.23          | ~ (ssItem @ X3)
% 4.51/1.23          | ~ (ssList @ X0)
% 4.51/1.23          |  (ssItem @ X1))),
% 4.51/1.23      inference('simplify', [status(thm)], [zip_derived_cl1389])).
% 4.51/1.23  thf(zip_derived_cl1478, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 4.51/1.23         ( (ssItem @ X0)
% 4.51/1.23          | ~ (ssList @ 
% 4.51/1.23               (app @ (app @ X4 @ (cons @ X2 @ X3)) @ (cons @ X2 @ X1)))
% 4.51/1.23          | ~ (ssItem @ X2)
% 4.51/1.23          | ~ (ssList @ X4)
% 4.51/1.23          | ~ (ssList @ X3)
% 4.51/1.23          | ~ (ssList @ X1))),
% 4.51/1.23      inference('eq_res', [status(thm)], [zip_derived_cl1474])).
% 4.51/1.23  thf(zip_derived_cl1507, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.51/1.23         ( (ssItem @ X2)
% 4.51/1.23          | ~ (ssList @ (app @ (app @ X1 @ (cons @ sk6 @ X0)) @ sk1))
% 4.51/1.23          | ~ (ssItem @ sk6)
% 4.51/1.23          | ~ (ssList @ X1)
% 4.51/1.23          | ~ (ssList @ X0)
% 4.51/1.23          | ~ (ssList @ nil))),
% 4.51/1.23      inference('s_sup-', [status(thm)],
% 4.51/1.23                [zip_derived_cl1412, zip_derived_cl1478])).
% 4.51/1.23  thf(co1_14, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk6 ) ))).
% 4.51/1.23  thf(zf_stmt_4, negated_conjecture,
% 4.51/1.23    (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk6 )),
% 4.51/1.23    inference('cnf.neg', [status(esa)], [co1_14])).
% 4.51/1.23  thf(zip_derived_cl198, plain, ((((nil) = (sk3)) |  (ssItem @ sk6))),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_4])).
% 4.51/1.23  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.51/1.23  thf(zip_derived_cl1421, plain, ((((nil) = (sk1)) |  (ssItem @ sk6))),
% 4.51/1.23      inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl190])).
% 4.51/1.23  thf(zip_derived_cl191, plain, (((nil) != (sk1))),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_2])).
% 4.51/1.23  thf(zip_derived_cl1422, plain, ( (ssItem @ sk6)),
% 4.51/1.23      inference('simplify_reflect-', [status(thm)],
% 4.51/1.23                [zip_derived_cl1421, zip_derived_cl191])).
% 4.51/1.23  thf(clause8, axiom, (ssList @ nil)).
% 4.51/1.23  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.51/1.23      inference('cnf', [status(esa)], [clause8])).
% 4.51/1.23  thf(zip_derived_cl1512, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.51/1.23         ( (ssItem @ X2)
% 4.51/1.23          | ~ (ssList @ (app @ (app @ X1 @ (cons @ sk6 @ X0)) @ sk1))
% 4.51/1.23          | ~ (ssList @ X1)
% 4.51/1.23          | ~ (ssList @ X0))),
% 4.51/1.23      inference('demod', [status(thm)],
% 4.51/1.23                [zip_derived_cl1507, zip_derived_cl1422, zip_derived_cl7])).
% 4.51/1.23  thf(zip_derived_cl1527, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i]:
% 4.51/1.23         ( (ssItem @ X1)
% 4.51/1.23          | ~ (ssList @ (app @ (app @ X0 @ sk1) @ sk1))
% 4.51/1.23          | ~ (ssList @ X0)
% 4.51/1.23          | ~ (ssList @ nil))),
% 4.51/1.23      inference('s_sup-', [status(thm)],
% 4.51/1.23                [zip_derived_cl1412, zip_derived_cl1512])).
% 4.51/1.23  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.51/1.23      inference('cnf', [status(esa)], [clause8])).
% 4.51/1.23  thf(zip_derived_cl1532, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i]:
% 4.51/1.23         ( (ssItem @ X1)
% 4.51/1.23          | ~ (ssList @ (app @ (app @ X0 @ sk1) @ sk1))
% 4.51/1.23          | ~ (ssList @ X0))),
% 4.51/1.23      inference('demod', [status(thm)], [zip_derived_cl1527, zip_derived_cl7])).
% 4.51/1.23  thf(zip_derived_cl1536, plain,
% 4.51/1.23      (![X0 : $i]:
% 4.51/1.23         (~ (ssList @ sk1)
% 4.51/1.23          |  (ssItem @ X0)
% 4.51/1.23          | ~ (ssList @ (app @ sk1 @ sk1))
% 4.51/1.23          | ~ (ssList @ nil))),
% 4.51/1.23      inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl1532])).
% 4.51/1.23  thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 4.51/1.23  thf(zf_stmt_5, negated_conjecture, (ssList @ sk1),
% 4.51/1.23    inference('cnf.neg', [status(esa)], [co1_1])).
% 4.51/1.23  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.51/1.23  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.51/1.23      inference('cnf', [status(esa)], [clause8])).
% 4.51/1.23  thf(zip_derived_cl1541, plain,
% 4.51/1.23      (![X0 : $i]: ( (ssItem @ X0) | ~ (ssList @ (app @ sk1 @ sk1)))),
% 4.51/1.23      inference('demod', [status(thm)],
% 4.51/1.23                [zip_derived_cl1536, zip_derived_cl185, zip_derived_cl7])).
% 4.51/1.23  thf(zip_derived_cl1542, plain,
% 4.51/1.23      (![X0 : $i]: (~ (ssList @ sk1) | ~ (ssList @ sk1) |  (ssItem @ X0))),
% 4.51/1.23      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl1541])).
% 4.51/1.23  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.51/1.23  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.51/1.23  thf(zip_derived_cl1544, plain, (![X0 : $i]:  (ssItem @ X0)),
% 4.51/1.23      inference('demod', [status(thm)],
% 4.51/1.23                [zip_derived_cl1542, zip_derived_cl185, zip_derived_cl185])).
% 4.51/1.23  thf(zip_derived_cl3801, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i, X2 : $i]:
% 4.51/1.23         ( (memberP @ X0 @ (sk5 @ X1 @ X0 @ X2))
% 4.51/1.23          | ((app @ (app @ X0 @ (cons @ X2 @ nil)) @ X1) != (sk1))
% 4.51/1.23          | ~ (ssList @ X1)
% 4.51/1.23          | ~ (ssList @ X0))),
% 4.51/1.23      inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl1544])).
% 4.51/1.23  thf(clause71, axiom, (( ~( memberP @ nil @ U ) ) | ( ~( ssItem @ U ) ))).
% 4.51/1.23  thf(zip_derived_cl70, plain,
% 4.51/1.23      (![X0 : $i]: (~ (memberP @ nil @ X0) | ~ (ssItem @ X0))),
% 4.51/1.23      inference('cnf', [status(esa)], [clause71])).
% 4.51/1.23  thf(zip_derived_cl1544, plain, (![X0 : $i]:  (ssItem @ X0)),
% 4.51/1.23      inference('demod', [status(thm)],
% 4.51/1.23                [zip_derived_cl1542, zip_derived_cl185, zip_derived_cl185])).
% 4.51/1.23  thf(zip_derived_cl1553, plain, (![X0 : $i]: ~ (memberP @ nil @ X0)),
% 4.51/1.23      inference('demod', [status(thm)], [zip_derived_cl70, zip_derived_cl1544])).
% 4.51/1.23  thf(zip_derived_cl3802, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i]:
% 4.51/1.23         (~ (ssList @ nil)
% 4.51/1.23          | ~ (ssList @ X1)
% 4.51/1.23          | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1)))),
% 4.51/1.23      inference('s_sup-', [status(thm)],
% 4.51/1.23                [zip_derived_cl3801, zip_derived_cl1553])).
% 4.51/1.23  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.51/1.23      inference('cnf', [status(esa)], [clause8])).
% 4.51/1.23  thf(zip_derived_cl3806, plain,
% 4.51/1.23      (![X0 : $i, X1 : $i]:
% 4.51/1.23         (~ (ssList @ X1)
% 4.51/1.23          | ((app @ (app @ nil @ (cons @ X0 @ nil)) @ X1) != (sk1)))),
% 4.51/1.23      inference('demod', [status(thm)], [zip_derived_cl3802, zip_derived_cl7])).
% 4.51/1.23  thf(zip_derived_cl3819, plain,
% 4.51/1.23      (![X0 : $i]:
% 4.51/1.23         (~ (ssList @ X0) | ((app @ (app @ nil @ sk1) @ X0) != (sk1)))),
% 4.51/1.23      inference('s_sup-', [status(thm)],
% 4.51/1.23                [zip_derived_cl1412, zip_derived_cl3806])).
% 4.51/1.23  thf(zip_derived_cl3830, plain,
% 4.51/1.23      ((~ (ssList @ (app @ nil @ sk1))
% 4.51/1.23        | ~ (ssList @ nil)
% 4.51/1.23        | ((app @ nil @ sk1) != (sk1)))),
% 4.51/1.23      inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl3819])).
% 4.51/1.23  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 4.51/1.23      inference('cnf', [status(esa)], [clause8])).
% 4.51/1.23  thf(zip_derived_cl3837, plain,
% 4.51/1.23      ((~ (ssList @ (app @ nil @ sk1)) | ((app @ nil @ sk1) != (sk1)))),
% 4.51/1.23      inference('demod', [status(thm)], [zip_derived_cl3830, zip_derived_cl7])).
% 4.51/1.23  thf(zip_derived_cl3846, plain,
% 4.51/1.23      ((~ (ssList @ sk1) | ~ (ssList @ sk1) | ((sk1) != (sk1)))),
% 4.51/1.23      inference('s_sup-', [status(thm)], [zip_derived_cl73, zip_derived_cl3837])).
% 4.51/1.23  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.51/1.23  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 4.51/1.23      inference('cnf', [status(esa)], [zf_stmt_5])).
% 4.51/1.23  thf(zip_derived_cl3850, plain, (((sk1) != (sk1))),
% 4.51/1.23      inference('demod', [status(thm)],
% 4.51/1.23                [zip_derived_cl3846, zip_derived_cl185, zip_derived_cl185])).
% 4.51/1.23  thf(zip_derived_cl3851, plain, ($false),
% 4.51/1.23      inference('simplify', [status(thm)], [zip_derived_cl3850])).
% 4.51/1.23  
% 4.51/1.23  % SZS output end Refutation
% 4.51/1.23  
% 4.51/1.23  
% 4.51/1.23  % Terminating...
% 5.06/1.35  % Runner terminated.
% 5.06/1.36  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------