TSTP Solution File: SWC298-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC298-1 : 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.RVZ53U6oUy true

% Computer : n002.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 21:30:34 EDT 2023

% Result   : Unsatisfiable 5.54s 1.47s
% Output   : Refutation 5.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.15  % Problem  : SWC298-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.16  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RVZ53U6oUy true
% 0.16/0.37  % Computer : n002.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon Aug 28 17:19:50 EDT 2023
% 0.16/0.38  % CPUTime  : 
% 0.16/0.38  % Running portfolio for 300 s
% 0.16/0.38  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.38  % Number of cores: 8
% 0.16/0.38  % Python version: Python 3.6.8
% 0.16/0.38  % Running in FO mode
% 0.24/0.70  % Total configuration time : 435
% 0.24/0.70  % Estimated wc time : 1092
% 0.24/0.70  % Estimated cpu time (7 cpus) : 156.0
% 0.61/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.61/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.61/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.54/1.47  % Solved by fo/fo13.sh.
% 5.54/1.47  % done 710 iterations in 0.650s
% 5.54/1.47  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.54/1.47  % SZS output start Refutation
% 5.54/1.47  thf(nil_type, type, nil: $i).
% 5.54/1.47  thf(cons_type, type, cons: $i > $i > $i).
% 5.54/1.47  thf(sk9_type, type, sk9: $i).
% 5.54/1.47  thf(sk8_type, type, sk8: $i).
% 5.54/1.47  thf(sk6_type, type, sk6: $i).
% 5.54/1.47  thf(lt_type, type, lt: $i > $i > $o).
% 5.54/1.47  thf(ssItem_type, type, ssItem: $i > $o).
% 5.54/1.47  thf(sk10_type, type, sk10: $i).
% 5.54/1.47  thf(strictorderedP_type, type, strictorderedP: $i > $o).
% 5.54/1.47  thf(sk5_type, type, sk5: $i).
% 5.54/1.47  thf(sk3_type, type, sk3: $i).
% 5.54/1.47  thf(app_type, type, app: $i > $i > $i).
% 5.54/1.47  thf(ssList_type, type, ssList: $i > $o).
% 5.54/1.47  thf(sk7_type, type, sk7: $i).
% 5.54/1.47  thf(sk1_type, type, sk1: $i).
% 5.54/1.47  thf(clause86, axiom,
% 5.54/1.47    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 5.54/1.47  thf(zip_derived_cl85, plain,
% 5.54/1.47      (![X0 : $i, X1 : $i]:
% 5.54/1.47         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 5.54/1.47      inference('cnf', [status(esa)], [clause86])).
% 5.54/1.47  thf(clause85, axiom,
% 5.54/1.47    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( app @ V @ U ) ))).
% 5.54/1.47  thf(zip_derived_cl84, plain,
% 5.54/1.47      (![X0 : $i, X1 : $i]:
% 5.54/1.47         (~ (ssList @ X0) | ~ (ssList @ X1) |  (ssList @ (app @ X1 @ X0)))),
% 5.54/1.47      inference('cnf', [status(esa)], [clause85])).
% 5.54/1.47  thf(clause120, axiom,
% 5.54/1.47    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | 
% 5.54/1.47     ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 5.54/1.47  thf(zip_derived_cl119, plain,
% 5.54/1.47      (![X0 : $i, X1 : $i]:
% 5.54/1.47         (~ (ssItem @ X0)
% 5.54/1.47          | ~ (ssList @ X1)
% 5.54/1.47          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 5.54/1.47      inference('cnf', [status(esa)], [clause120])).
% 5.54/1.47  thf(zip_derived_cl85, plain,
% 5.54/1.47      (![X0 : $i, X1 : $i]:
% 5.54/1.47         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 5.54/1.47      inference('cnf', [status(esa)], [clause86])).
% 5.54/1.47  thf(zip_derived_cl119, plain,
% 5.54/1.47      (![X0 : $i, X1 : $i]:
% 5.54/1.47         (~ (ssItem @ X0)
% 5.54/1.47          | ~ (ssList @ X1)
% 5.54/1.47          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 5.54/1.47      inference('cnf', [status(esa)], [clause120])).
% 5.54/1.47  thf(zip_derived_cl85, plain,
% 5.54/1.47      (![X0 : $i, X1 : $i]:
% 5.54/1.47         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 5.54/1.47      inference('cnf', [status(esa)], [clause86])).
% 5.54/1.47  thf(clause149, axiom,
% 5.54/1.47    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( ~( ssList @ W ) ) | 
% 5.54/1.47     ( ( app @ ( app @ W @ V ) @ U ) = ( app @ W @ ( app @ V @ U ) ) ))).
% 5.54/1.47  thf(zip_derived_cl148, plain,
% 5.54/1.47      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.54/1.47         (~ (ssList @ X0)
% 5.54/1.47          | ~ (ssList @ X1)
% 5.54/1.47          | ~ (ssList @ X2)
% 5.54/1.47          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 5.54/1.47      inference('cnf', [status(esa)], [clause149])).
% 5.54/1.47  thf(co1_12, conjecture,
% 5.54/1.47    (( app @
% 5.54/1.47       ( app @
% 5.54/1.47         ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @ 
% 5.54/1.47         ( cons @ sk6 @ nil ) ) @ 
% 5.54/1.47       sk9 ) !=
% 5.54/1.47     ( sk1 ))).
% 5.54/1.47  thf(zf_stmt_0, negated_conjecture,
% 5.54/1.47    (( app @
% 5.54/1.47       ( app @
% 5.54/1.47         ( app @ ( app @ sk7 @ ( cons @ sk5 @ nil ) ) @ sk8 ) @ 
% 5.54/1.47         ( cons @ sk6 @ nil ) ) @ 
% 5.54/1.47       sk9 ) =
% 5.54/1.47     ( sk1 )),
% 5.54/1.47    inference('cnf.neg', [status(esa)], [co1_12])).
% 5.54/1.47  thf(zip_derived_cl196, plain,
% 5.54/1.47      (((app @ 
% 5.54/1.47         (app @ (app @ (app @ sk7 @ (cons @ sk5 @ nil)) @ sk8) @ 
% 5.54/1.47          (cons @ sk6 @ nil)) @ 
% 5.54/1.47         sk9) = (sk1))),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_0])).
% 5.54/1.47  thf(zip_derived_cl1570, plain,
% 5.54/1.47      ((~ (ssList @ sk7)
% 5.54/1.47        | ~ (ssList @ (cons @ sk5 @ nil))
% 5.54/1.47        | ~ (ssList @ sk8)
% 5.54/1.47        | ((app @ 
% 5.54/1.47            (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @ 
% 5.54/1.47             (cons @ sk6 @ nil)) @ 
% 5.54/1.47            sk9) = (sk1)))),
% 5.54/1.47      inference('s_sup+', [status(thm)], [zip_derived_cl148, zip_derived_cl196])).
% 5.54/1.47  thf(co1_9, conjecture, (~( ssList @ sk7 ))).
% 5.54/1.47  thf(zf_stmt_1, negated_conjecture, (ssList @ sk7),
% 5.54/1.47    inference('cnf.neg', [status(esa)], [co1_9])).
% 5.54/1.47  thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.54/1.47  thf(co1_10, conjecture, (~( ssList @ sk8 ))).
% 5.54/1.47  thf(zf_stmt_2, negated_conjecture, (ssList @ sk8),
% 5.54/1.47    inference('cnf.neg', [status(esa)], [co1_10])).
% 5.54/1.47  thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.54/1.47  thf(zip_derived_cl1622, plain,
% 5.54/1.47      ((~ (ssList @ (cons @ sk5 @ nil))
% 5.54/1.47        | ((app @ 
% 5.54/1.47            (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @ 
% 5.54/1.47             (cons @ sk6 @ nil)) @ 
% 5.54/1.47            sk9) = (sk1)))),
% 5.54/1.47      inference('demod', [status(thm)],
% 5.54/1.47                [zip_derived_cl1570, zip_derived_cl193, zip_derived_cl194])).
% 5.54/1.47  thf(zip_derived_cl1659, plain,
% 5.54/1.47      ((~ (ssList @ nil)
% 5.54/1.47        | ~ (ssItem @ sk5)
% 5.54/1.47        | ((app @ 
% 5.54/1.47            (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @ 
% 5.54/1.47             (cons @ sk6 @ nil)) @ 
% 5.54/1.47            sk9) = (sk1)))),
% 5.54/1.47      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1622])).
% 5.54/1.47  thf(clause8, axiom, (ssList @ nil)).
% 5.54/1.47  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.54/1.47      inference('cnf', [status(esa)], [clause8])).
% 5.54/1.47  thf(co1_7, conjecture, (~( ssItem @ sk5 ))).
% 5.54/1.47  thf(zf_stmt_3, negated_conjecture, (ssItem @ sk5),
% 5.54/1.47    inference('cnf.neg', [status(esa)], [co1_7])).
% 5.54/1.47  thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.54/1.47  thf(zip_derived_cl1662, plain,
% 5.54/1.47      (((app @ 
% 5.54/1.47         (app @ (app @ sk7 @ (app @ (cons @ sk5 @ nil) @ sk8)) @ 
% 5.54/1.47          (cons @ sk6 @ nil)) @ 
% 5.54/1.47         sk9) = (sk1))),
% 5.54/1.47      inference('demod', [status(thm)],
% 5.54/1.47                [zip_derived_cl1659, zip_derived_cl7, zip_derived_cl191])).
% 5.54/1.47  thf(zip_derived_cl1685, plain,
% 5.54/1.47      ((~ (ssList @ sk8)
% 5.54/1.47        | ~ (ssItem @ sk5)
% 5.54/1.47        | ((app @ 
% 5.54/1.47            (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ nil)) @ sk9)
% 5.54/1.47            = (sk1)))),
% 5.54/1.47      inference('s_sup+', [status(thm)],
% 5.54/1.47                [zip_derived_cl119, zip_derived_cl1662])).
% 5.54/1.47  thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.54/1.47  thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.54/1.47  thf(zip_derived_cl1687, plain,
% 5.54/1.47      (((app @ (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ nil)) @ 
% 5.54/1.47         sk9) = (sk1))),
% 5.54/1.47      inference('demod', [status(thm)],
% 5.54/1.47                [zip_derived_cl1685, zip_derived_cl194, zip_derived_cl191])).
% 5.54/1.47  thf(zip_derived_cl148, plain,
% 5.54/1.47      (![X0 : $i, X1 : $i, X2 : $i]:
% 5.54/1.47         (~ (ssList @ X0)
% 5.54/1.47          | ~ (ssList @ X1)
% 5.54/1.47          | ~ (ssList @ X2)
% 5.54/1.47          | ((app @ (app @ X2 @ X1) @ X0) = (app @ X2 @ (app @ X1 @ X0))))),
% 5.54/1.47      inference('cnf', [status(esa)], [clause149])).
% 5.54/1.47  thf(zip_derived_cl1725, plain,
% 5.54/1.47      ((~ (ssList @ sk9)
% 5.54/1.47        | ~ (ssList @ (cons @ sk6 @ nil))
% 5.54/1.47        | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 5.54/1.47        | ((sk1)
% 5.54/1.47            = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ 
% 5.54/1.47               (app @ (cons @ sk6 @ nil) @ sk9))))),
% 5.54/1.47      inference('s_sup+', [status(thm)],
% 5.54/1.47                [zip_derived_cl1687, zip_derived_cl148])).
% 5.54/1.47  thf(co1_11, conjecture, (~( ssList @ sk9 ))).
% 5.54/1.47  thf(zf_stmt_4, negated_conjecture, (ssList @ sk9),
% 5.54/1.47    inference('cnf.neg', [status(esa)], [co1_11])).
% 5.54/1.47  thf(zip_derived_cl195, plain, ( (ssList @ sk9)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.54/1.47  thf(zip_derived_cl1746, plain,
% 5.54/1.47      ((~ (ssList @ (cons @ sk6 @ nil))
% 5.54/1.47        | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 5.54/1.47        | ((sk1)
% 5.54/1.47            = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ 
% 5.54/1.47               (app @ (cons @ sk6 @ nil) @ sk9))))),
% 5.54/1.47      inference('demod', [status(thm)], [zip_derived_cl1725, zip_derived_cl195])).
% 5.54/1.47  thf(zip_derived_cl4340, plain,
% 5.54/1.47      ((~ (ssList @ nil)
% 5.54/1.47        | ~ (ssItem @ sk6)
% 5.54/1.47        | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 5.54/1.47        | ((sk1)
% 5.54/1.47            = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ 
% 5.54/1.47               (app @ (cons @ sk6 @ nil) @ sk9))))),
% 5.54/1.47      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl1746])).
% 5.54/1.47  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 5.54/1.47      inference('cnf', [status(esa)], [clause8])).
% 5.54/1.47  thf(co1_8, conjecture, (~( ssItem @ sk6 ))).
% 5.54/1.47  thf(zf_stmt_5, negated_conjecture, (ssItem @ sk6),
% 5.54/1.47    inference('cnf.neg', [status(esa)], [co1_8])).
% 5.54/1.47  thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.54/1.47  thf(zip_derived_cl4343, plain,
% 5.54/1.47      ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 5.54/1.47        | ((sk1)
% 5.54/1.47            = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ 
% 5.54/1.47               (app @ (cons @ sk6 @ nil) @ sk9))))),
% 5.54/1.47      inference('demod', [status(thm)],
% 5.54/1.47                [zip_derived_cl4340, zip_derived_cl7, zip_derived_cl192])).
% 5.54/1.47  thf(zip_derived_cl4372, plain,
% 5.54/1.47      ((~ (ssList @ sk9)
% 5.54/1.47        | ~ (ssItem @ sk6)
% 5.54/1.47        | ~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 5.54/1.47        | ((sk1)
% 5.54/1.47            = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ sk9))))),
% 5.54/1.47      inference('s_sup+', [status(thm)],
% 5.54/1.47                [zip_derived_cl119, zip_derived_cl4343])).
% 5.54/1.47  thf(zip_derived_cl195, plain, ( (ssList @ sk9)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.54/1.47  thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.54/1.47  thf(zip_derived_cl4374, plain,
% 5.54/1.47      ((~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 5.54/1.47        | ((sk1)
% 5.54/1.47            = (app @ (app @ sk7 @ (cons @ sk5 @ sk8)) @ (cons @ sk6 @ sk9))))),
% 5.54/1.47      inference('demod', [status(thm)],
% 5.54/1.47                [zip_derived_cl4372, zip_derived_cl195, zip_derived_cl192])).
% 5.54/1.47  thf(clause181, axiom,
% 5.54/1.47    (( ( app @ ( app @ U @ ( cons @ V @ W ) ) @ ( cons @ X @ Y ) ) != ( Z ) ) | 
% 5.54/1.47     ( ~( ssList @ Y ) ) | ( ~( ssList @ W ) ) | ( ~( ssList @ U ) ) | 
% 5.54/1.47     ( ~( ssItem @ X ) ) | ( ~( ssItem @ V ) ) | ( ~( strictorderedP @ Z ) ) | 
% 5.54/1.47     ( ~( ssList @ Z ) ) | ( lt @ V @ X ))).
% 5.54/1.47  thf(zip_derived_cl180, plain,
% 5.54/1.47      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 5.54/1.47         (((app @ (app @ X1 @ (cons @ X2 @ X3)) @ (cons @ X4 @ X5)) != (X0))
% 5.54/1.47          | ~ (ssList @ X5)
% 5.54/1.47          | ~ (ssList @ X3)
% 5.54/1.47          | ~ (ssList @ X1)
% 5.54/1.47          | ~ (ssItem @ X4)
% 5.54/1.47          | ~ (ssItem @ X2)
% 5.54/1.47          | ~ (strictorderedP @ X0)
% 5.54/1.47          | ~ (ssList @ X0)
% 5.54/1.47          |  (lt @ X2 @ X4))),
% 5.54/1.47      inference('cnf', [status(esa)], [clause181])).
% 5.54/1.47  thf(zip_derived_cl4453, plain,
% 5.54/1.47      (![X0 : $i]:
% 5.54/1.47         (~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 5.54/1.47          | ((sk1) != (X0))
% 5.54/1.47          | ~ (ssList @ sk9)
% 5.54/1.47          | ~ (ssList @ sk8)
% 5.54/1.47          | ~ (ssList @ sk7)
% 5.54/1.47          | ~ (ssItem @ sk6)
% 5.54/1.47          | ~ (ssItem @ sk5)
% 5.54/1.47          | ~ (strictorderedP @ X0)
% 5.54/1.47          | ~ (ssList @ X0)
% 5.54/1.47          |  (lt @ sk5 @ sk6))),
% 5.54/1.47      inference('s_sup-', [status(thm)],
% 5.54/1.47                [zip_derived_cl4374, zip_derived_cl180])).
% 5.54/1.47  thf(zip_derived_cl195, plain, ( (ssList @ sk9)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_4])).
% 5.54/1.47  thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.54/1.47  thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.54/1.47  thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.54/1.47  thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.54/1.47  thf(co1_13, conjecture, (~( lt @ sk6 @ sk5 ))).
% 5.54/1.47  thf(zf_stmt_6, negated_conjecture, (lt @ sk6 @ sk5),
% 5.54/1.47    inference('cnf.neg', [status(esa)], [co1_13])).
% 5.54/1.47  thf(zip_derived_cl197, plain, ( (lt @ sk6 @ sk5)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_6])).
% 5.54/1.47  thf(clause114, axiom,
% 5.54/1.47    (( ~( lt @ U @ V ) ) | ( ~( lt @ V @ U ) ) | ( ~( ssItem @ U ) ) | 
% 5.54/1.47     ( ~( ssItem @ V ) ))).
% 5.54/1.47  thf(zip_derived_cl113, plain,
% 5.54/1.47      (![X0 : $i, X1 : $i]:
% 5.54/1.47         (~ (lt @ X0 @ X1)
% 5.54/1.47          | ~ (lt @ X1 @ X0)
% 5.54/1.47          | ~ (ssItem @ X0)
% 5.54/1.47          | ~ (ssItem @ X1))),
% 5.54/1.47      inference('cnf', [status(esa)], [clause114])).
% 5.54/1.47  thf(zip_derived_cl251, plain,
% 5.54/1.47      ((~ (lt @ sk5 @ sk6) | ~ (ssItem @ sk6) | ~ (ssItem @ sk5))),
% 5.54/1.47      inference('s_sup-', [status(thm)], [zip_derived_cl197, zip_derived_cl113])).
% 5.54/1.47  thf(zip_derived_cl192, plain, ( (ssItem @ sk6)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_5])).
% 5.54/1.47  thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.54/1.47  thf(zip_derived_cl254, plain, (~ (lt @ sk5 @ sk6)),
% 5.54/1.47      inference('demod', [status(thm)],
% 5.54/1.47                [zip_derived_cl251, zip_derived_cl192, zip_derived_cl191])).
% 5.54/1.47  thf(zip_derived_cl4498, plain,
% 5.54/1.47      (![X0 : $i]:
% 5.54/1.47         (~ (ssList @ (app @ sk7 @ (cons @ sk5 @ sk8)))
% 5.54/1.47          | ((sk1) != (X0))
% 5.54/1.47          | ~ (strictorderedP @ X0)
% 5.54/1.47          | ~ (ssList @ X0))),
% 5.54/1.47      inference('demod', [status(thm)],
% 5.54/1.47                [zip_derived_cl4453, zip_derived_cl195, zip_derived_cl194, 
% 5.54/1.47                 zip_derived_cl193, zip_derived_cl192, zip_derived_cl191, 
% 5.54/1.47                 zip_derived_cl254])).
% 5.54/1.47  thf(zip_derived_cl4514, plain,
% 5.54/1.47      (![X0 : $i]:
% 5.54/1.47         (~ (ssList @ sk7)
% 5.54/1.47          | ~ (ssList @ (cons @ sk5 @ sk8))
% 5.54/1.47          | ((sk1) != (X0))
% 5.54/1.47          | ~ (strictorderedP @ X0)
% 5.54/1.47          | ~ (ssList @ X0))),
% 5.54/1.47      inference('s_sup-', [status(thm)], [zip_derived_cl84, zip_derived_cl4498])).
% 5.54/1.47  thf(zip_derived_cl193, plain, ( (ssList @ sk7)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_1])).
% 5.54/1.47  thf(zip_derived_cl4515, plain,
% 5.54/1.47      (![X0 : $i]:
% 5.54/1.47         (~ (ssList @ (cons @ sk5 @ sk8))
% 5.54/1.47          | ((sk1) != (X0))
% 5.54/1.47          | ~ (strictorderedP @ X0)
% 5.54/1.47          | ~ (ssList @ X0))),
% 5.54/1.47      inference('demod', [status(thm)], [zip_derived_cl4514, zip_derived_cl193])).
% 5.54/1.47  thf(zip_derived_cl4516, plain,
% 5.54/1.47      (![X0 : $i]:
% 5.54/1.47         (~ (ssList @ sk8)
% 5.54/1.47          | ~ (ssItem @ sk5)
% 5.54/1.47          | ((sk1) != (X0))
% 5.54/1.47          | ~ (strictorderedP @ X0)
% 5.54/1.47          | ~ (ssList @ X0))),
% 5.54/1.47      inference('s_sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl4515])).
% 5.54/1.47  thf(zip_derived_cl194, plain, ( (ssList @ sk8)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_2])).
% 5.54/1.47  thf(zip_derived_cl191, plain, ( (ssItem @ sk5)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_3])).
% 5.54/1.47  thf(zip_derived_cl4517, plain,
% 5.54/1.47      (![X0 : $i]:
% 5.54/1.47         (((sk1) != (X0)) | ~ (strictorderedP @ X0) | ~ (ssList @ X0))),
% 5.54/1.47      inference('demod', [status(thm)],
% 5.54/1.47                [zip_derived_cl4516, zip_derived_cl194, zip_derived_cl191])).
% 5.54/1.47  thf(zip_derived_cl4518, plain,
% 5.54/1.47      ((~ (ssList @ sk1) | ~ (strictorderedP @ sk1))),
% 5.54/1.47      inference('eq_res', [status(thm)], [zip_derived_cl4517])).
% 5.54/1.47  thf(co1_1, conjecture, (~( ssList @ sk1 ))).
% 5.54/1.47  thf(zf_stmt_7, negated_conjecture, (ssList @ sk1),
% 5.54/1.47    inference('cnf.neg', [status(esa)], [co1_1])).
% 5.54/1.47  thf(zip_derived_cl185, plain, ( (ssList @ sk1)),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_7])).
% 5.54/1.47  thf(zip_derived_cl4519, plain, (~ (strictorderedP @ sk1)),
% 5.54/1.47      inference('demod', [status(thm)], [zip_derived_cl4518, zip_derived_cl185])).
% 5.54/1.47  thf(co1_19, conjecture,
% 5.54/1.47    (~( ( ( nil ) = ( sk3 ) ) | ( ( cons @ sk10 @ nil ) = ( sk3 ) ) ))).
% 5.54/1.47  thf(zf_stmt_8, negated_conjecture,
% 5.54/1.47    (( ( nil ) = ( sk3 ) ) | ( ( cons @ sk10 @ nil ) = ( sk3 ) )),
% 5.54/1.47    inference('cnf.neg', [status(esa)], [co1_19])).
% 5.54/1.47  thf(zip_derived_cl203, plain,
% 5.54/1.47      ((((nil) = (sk3)) | ((cons @ sk10 @ nil) = (sk3)))),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_8])).
% 5.54/1.47  thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 5.54/1.47  thf(zf_stmt_9, negated_conjecture, (( sk1 ) = ( sk3 )),
% 5.54/1.47    inference('cnf.neg', [status(esa)], [co1_6])).
% 5.54/1.47  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.54/1.47  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.54/1.47  thf(zip_derived_cl207, plain,
% 5.54/1.47      ((((nil) = (sk1)) | ((cons @ sk10 @ nil) = (sk1)))),
% 5.54/1.47      inference('demod', [status(thm)],
% 5.54/1.47                [zip_derived_cl203, zip_derived_cl190, zip_derived_cl190])).
% 5.54/1.47  thf(clause66, axiom,
% 5.54/1.47    (( ~( ssItem @ U ) ) | ( strictorderedP @ ( cons @ U @ nil ) ))).
% 5.54/1.47  thf(zip_derived_cl65, plain,
% 5.54/1.47      (![X0 : $i]: (~ (ssItem @ X0) |  (strictorderedP @ (cons @ X0 @ nil)))),
% 5.54/1.47      inference('cnf', [status(esa)], [clause66])).
% 5.54/1.47  thf(zip_derived_cl260, plain,
% 5.54/1.47      ((((nil) = (sk1)) | ~ (ssItem @ sk10) |  (strictorderedP @ sk1))),
% 5.54/1.47      inference('s_sup+', [status(thm)], [zip_derived_cl207, zip_derived_cl65])).
% 5.54/1.47  thf(co1_15, conjecture, (~( ( ( nil ) = ( sk3 ) ) | ( ssItem @ sk10 ) ))).
% 5.54/1.47  thf(zf_stmt_10, negated_conjecture,
% 5.54/1.47    (( ( nil ) = ( sk3 ) ) | ( ssItem @ sk10 )),
% 5.54/1.47    inference('cnf.neg', [status(esa)], [co1_15])).
% 5.54/1.47  thf(zip_derived_cl199, plain, ((((nil) = (sk3)) |  (ssItem @ sk10))),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_10])).
% 5.54/1.47  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 5.54/1.47      inference('cnf', [status(esa)], [zf_stmt_9])).
% 5.54/1.47  thf(zip_derived_cl211, plain, ((((nil) = (sk1)) |  (ssItem @ sk10))),
% 5.54/1.47      inference('demod', [status(thm)], [zip_derived_cl199, zip_derived_cl190])).
% 5.54/1.47  thf(zip_derived_cl269, plain, (( (strictorderedP @ sk1) | ((nil) = (sk1)))),
% 5.54/1.47      inference('clc', [status(thm)], [zip_derived_cl260, zip_derived_cl211])).
% 5.54/1.47  thf(zip_derived_cl4519, plain, (~ (strictorderedP @ sk1)),
% 5.54/1.47      inference('demod', [status(thm)], [zip_derived_cl4518, zip_derived_cl185])).
% 5.54/1.47  thf(zip_derived_cl4521, plain, (((nil) = (sk1))),
% 5.54/1.47      inference('s_sup-', [status(thm)],
% 5.54/1.47                [zip_derived_cl269, zip_derived_cl4519])).
% 5.54/1.47  thf(clause3, axiom, (strictorderedP @ nil)).
% 5.54/1.47  thf(zip_derived_cl2, plain, ( (strictorderedP @ nil)),
% 5.54/1.47      inference('cnf', [status(esa)], [clause3])).
% 5.54/1.47  thf(zip_derived_cl4573, plain, ($false),
% 5.54/1.47      inference('demod', [status(thm)],
% 5.54/1.47                [zip_derived_cl4519, zip_derived_cl4521, zip_derived_cl2])).
% 5.54/1.47  
% 5.54/1.47  % SZS output end Refutation
% 5.54/1.47  
% 5.54/1.47  
% 5.54/1.47  % Terminating...
% 6.22/1.51  % Runner terminated.
% 6.22/1.52  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------