TSTP Solution File: SWC315-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC315-1 : 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.mbHaXLKfax 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 Aug 31 21:30:41 EDT 2023

% Result   : Unsatisfiable 0.56s 0.96s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC315-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.mbHaXLKfax true
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Aug 28 16:51:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.52/0.64  % Total configuration time : 435
% 0.52/0.64  % Estimated wc time : 1092
% 0.52/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.96  % Solved by fo/fo13.sh.
% 0.56/0.96  % done 273 iterations in 0.188s
% 0.56/0.96  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.96  % SZS output start Refutation
% 0.56/0.96  thf(nil_type, type, nil: $i).
% 0.56/0.96  thf(cons_type, type, cons: $i > $i > $i).
% 0.56/0.96  thf(sk2_type, type, sk2: $i).
% 0.56/0.96  thf(sk8_type, type, sk8: $i).
% 0.56/0.96  thf(sk6_type, type, sk6: $i).
% 0.56/0.96  thf(sk4_type, type, sk4: $i).
% 0.56/0.96  thf(tl_type, type, tl: $i > $i).
% 0.56/0.96  thf(hd_type, type, hd: $i > $i).
% 0.56/0.96  thf(ssItem_type, type, ssItem: $i > $o).
% 0.56/0.96  thf(sk5_type, type, sk5: $i).
% 0.56/0.96  thf(sk3_type, type, sk3: $i).
% 0.56/0.96  thf(neq_type, type, neq: $i > $i > $o).
% 0.56/0.96  thf(app_type, type, app: $i > $i > $i).
% 0.56/0.96  thf(ssList_type, type, ssList: $i > $o).
% 0.56/0.96  thf(sk7_type, type, sk7: $i).
% 0.56/0.96  thf(sk1_type, type, sk1: $i).
% 0.56/0.96  thf(co1_14, conjecture,
% 0.56/0.96    (~( ( ( nil ) != ( sk1 ) ) | 
% 0.56/0.96        ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk2 ) ) ))).
% 0.56/0.96  thf(zf_stmt_0, negated_conjecture,
% 0.56/0.96    (( ( nil ) != ( sk1 ) ) | 
% 0.56/0.96     ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk2 ) )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_14])).
% 0.56/0.96  thf(zip_derived_cl198, plain,
% 0.56/0.96      ((((nil) != (sk1)) | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk2)))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.96  thf(clause100, axiom,
% 0.56/0.96    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) | 
% 0.56/0.96     ( ( V ) = ( U ) ))).
% 0.56/0.96  thf(zip_derived_cl99, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause100])).
% 0.56/0.96  thf(co1_18, conjecture,
% 0.56/0.96    (~( ( ~( neq @ sk4 @ nil ) ) | 
% 0.56/0.96        ( ( app @ ( cons @ sk7 @ nil ) @ sk8 ) = ( sk4 ) ) ))).
% 0.56/0.96  thf(zf_stmt_1, negated_conjecture,
% 0.56/0.96    (( ~( neq @ sk4 @ nil ) ) | 
% 0.56/0.96     ( ( app @ ( cons @ sk7 @ nil ) @ sk8 ) = ( sk4 ) )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_18])).
% 0.56/0.96  thf(zip_derived_cl202, plain,
% 0.56/0.96      ((~ (neq @ sk4 @ nil) | ((app @ (cons @ sk7 @ nil) @ sk8) = (sk4)))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.96  thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.56/0.96  thf(zf_stmt_2, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_5])).
% 0.56/0.96  thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.96  thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.96  thf(zip_derived_cl207, plain,
% 0.56/0.96      ((~ (neq @ sk2 @ nil) | ((app @ (cons @ sk7 @ nil) @ sk8) = (sk2)))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl202, zip_derived_cl189, zip_derived_cl189])).
% 0.56/0.96  thf(zip_derived_cl291, plain,
% 0.56/0.96      ((((sk2) = (nil))
% 0.56/0.96        | ~ (ssList @ sk2)
% 0.56/0.96        | ~ (ssList @ nil)
% 0.56/0.96        | ((app @ (cons @ sk7 @ nil) @ sk8) = (sk2)))),
% 0.56/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl207])).
% 0.56/0.96  thf(co1_2, conjecture, (~( ssList @ sk2 ))).
% 0.56/0.96  thf(zf_stmt_3, negated_conjecture, (ssList @ sk2),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_2])).
% 0.56/0.96  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.96  thf(clause8, axiom, (ssList @ nil)).
% 0.56/0.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.56/0.96      inference('cnf', [status(esa)], [clause8])).
% 0.56/0.96  thf(zip_derived_cl297, plain,
% 0.56/0.96      ((((sk2) = (nil)) | ((app @ (cons @ sk7 @ nil) @ sk8) = (sk2)))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl291, zip_derived_cl186, zip_derived_cl7])).
% 0.56/0.96  thf(clause120, axiom,
% 0.56/0.96    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | 
% 0.56/0.96     ( ( app @ ( cons @ U @ nil ) @ V ) = ( cons @ U @ V ) ))).
% 0.56/0.96  thf(zip_derived_cl119, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (~ (ssItem @ X0)
% 0.56/0.96          | ~ (ssList @ X1)
% 0.56/0.96          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause120])).
% 0.56/0.96  thf(zip_derived_cl449, plain,
% 0.56/0.96      ((((sk2) = (nil))
% 0.56/0.96        | ~ (ssItem @ sk7)
% 0.56/0.96        | ~ (ssList @ sk8)
% 0.56/0.96        | ((sk2) = (cons @ sk7 @ sk8)))),
% 0.56/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl297, zip_derived_cl119])).
% 0.56/0.96  thf(zip_derived_cl99, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause100])).
% 0.56/0.96  thf(co1_16, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk7 ) ))).
% 0.56/0.96  thf(zf_stmt_4, negated_conjecture,
% 0.56/0.96    (( ~( neq @ sk4 @ nil ) ) | ( ssItem @ sk7 )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_16])).
% 0.56/0.96  thf(zip_derived_cl200, plain, ((~ (neq @ sk4 @ nil) |  (ssItem @ sk7))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.96  thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.96  thf(zip_derived_cl209, plain, ((~ (neq @ sk2 @ nil) |  (ssItem @ sk7))),
% 0.56/0.96      inference('demod', [status(thm)], [zip_derived_cl200, zip_derived_cl189])).
% 0.56/0.96  thf(zip_derived_cl293, plain,
% 0.56/0.96      ((((sk2) = (nil)) | ~ (ssList @ sk2) | ~ (ssList @ nil) |  (ssItem @ sk7))),
% 0.56/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl209])).
% 0.56/0.96  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.56/0.96      inference('cnf', [status(esa)], [clause8])).
% 0.56/0.96  thf(zip_derived_cl299, plain, ((((sk2) = (nil)) |  (ssItem @ sk7))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl293, zip_derived_cl186, zip_derived_cl7])).
% 0.56/0.96  thf(zip_derived_cl543, plain,
% 0.56/0.96      ((((sk2) = (cons @ sk7 @ sk8)) | ~ (ssList @ sk8) | ((sk2) = (nil)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl449, zip_derived_cl299])).
% 0.56/0.96  thf(zip_derived_cl99, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause100])).
% 0.56/0.96  thf(co1_17, conjecture, (~( ( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk8 ) ))).
% 0.56/0.96  thf(zf_stmt_5, negated_conjecture,
% 0.56/0.96    (( ~( neq @ sk4 @ nil ) ) | ( ssList @ sk8 )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_17])).
% 0.56/0.96  thf(zip_derived_cl201, plain, ((~ (neq @ sk4 @ nil) |  (ssList @ sk8))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.96  thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.96  thf(zip_derived_cl210, plain, ((~ (neq @ sk2 @ nil) |  (ssList @ sk8))),
% 0.56/0.96      inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl189])).
% 0.56/0.96  thf(zip_derived_cl294, plain,
% 0.56/0.96      ((((sk2) = (nil)) | ~ (ssList @ sk2) | ~ (ssList @ nil) |  (ssList @ sk8))),
% 0.56/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl210])).
% 0.56/0.96  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.56/0.96      inference('cnf', [status(esa)], [clause8])).
% 0.56/0.96  thf(zip_derived_cl300, plain, ((((sk2) = (nil)) |  (ssList @ sk8))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl294, zip_derived_cl186, zip_derived_cl7])).
% 0.56/0.96  thf(zip_derived_cl544, plain,
% 0.56/0.96      ((((sk2) = (nil)) | ((sk2) = (cons @ sk7 @ sk8)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl543, zip_derived_cl300])).
% 0.56/0.96  thf(clause97, axiom,
% 0.56/0.96    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | 
% 0.56/0.96     ( ( hd @ ( cons @ U @ V ) ) = ( U ) ))).
% 0.56/0.96  thf(zip_derived_cl96, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause97])).
% 0.56/0.96  thf(zip_derived_cl547, plain,
% 0.56/0.96      ((((sk2) = (nil))
% 0.56/0.96        | ~ (ssItem @ sk7)
% 0.56/0.96        | ~ (ssList @ sk8)
% 0.56/0.96        | ((hd @ sk2) = (sk7)))),
% 0.56/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl96])).
% 0.56/0.96  thf(zip_derived_cl299, plain, ((((sk2) = (nil)) |  (ssItem @ sk7))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl293, zip_derived_cl186, zip_derived_cl7])).
% 0.56/0.96  thf(zip_derived_cl819, plain,
% 0.56/0.96      ((((hd @ sk2) = (sk7)) | ~ (ssList @ sk8) | ((sk2) = (nil)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl547, zip_derived_cl299])).
% 0.56/0.96  thf(zip_derived_cl300, plain, ((((sk2) = (nil)) |  (ssList @ sk8))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl294, zip_derived_cl186, zip_derived_cl7])).
% 0.56/0.96  thf(zip_derived_cl820, plain, ((((sk2) = (nil)) | ((hd @ sk2) = (sk7)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl819, zip_derived_cl300])).
% 0.56/0.96  thf(co1_11, conjecture,
% 0.56/0.96    (~( ( ( nil ) = ( sk2 ) ) | 
% 0.56/0.96        ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk2 ) ) ))).
% 0.56/0.96  thf(zf_stmt_6, negated_conjecture,
% 0.56/0.96    (( ( nil ) = ( sk2 ) ) | ( ( app @ ( cons @ sk5 @ nil ) @ sk6 ) = ( sk2 ) )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_11])).
% 0.56/0.96  thf(zip_derived_cl195, plain,
% 0.56/0.96      ((((nil) = (sk2)) | ((app @ (cons @ sk5 @ nil) @ sk6) = (sk2)))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.56/0.96  thf(zip_derived_cl119, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (~ (ssItem @ X0)
% 0.56/0.96          | ~ (ssList @ X1)
% 0.56/0.96          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause120])).
% 0.56/0.96  thf(zip_derived_cl448, plain,
% 0.56/0.96      ((((nil) = (sk2))
% 0.56/0.96        | ~ (ssItem @ sk5)
% 0.56/0.96        | ~ (ssList @ sk6)
% 0.56/0.96        | ((sk2) = (cons @ sk5 @ sk6)))),
% 0.56/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl195, zip_derived_cl119])).
% 0.56/0.96  thf(co1_8, conjecture, (~( ( ( nil ) = ( sk2 ) ) | ( ssItem @ sk5 ) ))).
% 0.56/0.96  thf(zf_stmt_7, negated_conjecture,
% 0.56/0.96    (( ( nil ) = ( sk2 ) ) | ( ssItem @ sk5 )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_8])).
% 0.56/0.96  thf(zip_derived_cl192, plain, ((((nil) = (sk2)) |  (ssItem @ sk5))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.56/0.96  thf(zip_derived_cl531, plain,
% 0.56/0.96      ((((sk2) = (cons @ sk5 @ sk6)) | ~ (ssList @ sk6) | ((nil) = (sk2)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl448, zip_derived_cl192])).
% 0.56/0.96  thf(co1_10, conjecture, (~( ( ( nil ) = ( sk2 ) ) | ( ssList @ sk6 ) ))).
% 0.56/0.96  thf(zf_stmt_8, negated_conjecture,
% 0.56/0.96    (( ( nil ) = ( sk2 ) ) | ( ssList @ sk6 )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_10])).
% 0.56/0.96  thf(zip_derived_cl194, plain, ((((nil) = (sk2)) |  (ssList @ sk6))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.96  thf(zip_derived_cl532, plain,
% 0.56/0.96      ((((nil) = (sk2)) | ((sk2) = (cons @ sk5 @ sk6)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl531, zip_derived_cl194])).
% 0.56/0.96  thf(zip_derived_cl96, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (~ (ssItem @ X0) | ~ (ssList @ X1) | ((hd @ (cons @ X0 @ X1)) = (X0)))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause97])).
% 0.56/0.96  thf(zip_derived_cl535, plain,
% 0.56/0.96      ((((nil) = (sk2))
% 0.56/0.96        | ~ (ssItem @ sk5)
% 0.56/0.96        | ~ (ssList @ sk6)
% 0.56/0.96        | ((hd @ sk2) = (sk5)))),
% 0.56/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl532, zip_derived_cl96])).
% 0.56/0.96  thf(zip_derived_cl192, plain, ((((nil) = (sk2)) |  (ssItem @ sk5))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.56/0.96  thf(zip_derived_cl588, plain,
% 0.56/0.96      ((((hd @ sk2) = (sk5)) | ~ (ssList @ sk6) | ((nil) = (sk2)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl535, zip_derived_cl192])).
% 0.56/0.96  thf(zip_derived_cl194, plain, ((((nil) = (sk2)) |  (ssList @ sk6))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.96  thf(zip_derived_cl589, plain, ((((nil) = (sk2)) | ((hd @ sk2) = (sk5)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl588, zip_derived_cl194])).
% 0.56/0.96  thf(zip_derived_cl824, plain,
% 0.56/0.96      ((((sk2) = (nil)) | ((nil) = (sk2)) | ((sk7) = (sk5)))),
% 0.56/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl820, zip_derived_cl589])).
% 0.56/0.96  thf(zip_derived_cl831, plain, ((((sk7) = (sk5)) | ((sk2) = (nil)))),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl824])).
% 0.56/0.96  thf(zip_derived_cl544, plain,
% 0.56/0.96      ((((sk2) = (nil)) | ((sk2) = (cons @ sk7 @ sk8)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl543, zip_derived_cl300])).
% 0.56/0.96  thf(clause96, axiom,
% 0.56/0.96    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | 
% 0.56/0.96     ( ( tl @ ( cons @ U @ V ) ) = ( V ) ))).
% 0.56/0.96  thf(zip_derived_cl95, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause96])).
% 0.56/0.96  thf(zip_derived_cl546, plain,
% 0.56/0.96      ((((sk2) = (nil))
% 0.56/0.96        | ~ (ssItem @ sk7)
% 0.56/0.96        | ~ (ssList @ sk8)
% 0.56/0.96        | ((tl @ sk2) = (sk8)))),
% 0.56/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl544, zip_derived_cl95])).
% 0.56/0.96  thf(zip_derived_cl299, plain, ((((sk2) = (nil)) |  (ssItem @ sk7))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl293, zip_derived_cl186, zip_derived_cl7])).
% 0.56/0.96  thf(zip_derived_cl649, plain,
% 0.56/0.96      ((((tl @ sk2) = (sk8)) | ~ (ssList @ sk8) | ((sk2) = (nil)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl546, zip_derived_cl299])).
% 0.56/0.96  thf(zip_derived_cl300, plain, ((((sk2) = (nil)) |  (ssList @ sk8))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl294, zip_derived_cl186, zip_derived_cl7])).
% 0.56/0.96  thf(zip_derived_cl650, plain, ((((sk2) = (nil)) | ((tl @ sk2) = (sk8)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl649, zip_derived_cl300])).
% 0.56/0.96  thf(zip_derived_cl532, plain,
% 0.56/0.96      ((((nil) = (sk2)) | ((sk2) = (cons @ sk5 @ sk6)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl531, zip_derived_cl194])).
% 0.56/0.96  thf(zip_derived_cl95, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (~ (ssItem @ X0) | ~ (ssList @ X1) | ((tl @ (cons @ X0 @ X1)) = (X1)))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause96])).
% 0.56/0.96  thf(zip_derived_cl534, plain,
% 0.56/0.96      ((((nil) = (sk2))
% 0.56/0.96        | ~ (ssItem @ sk5)
% 0.56/0.96        | ~ (ssList @ sk6)
% 0.56/0.96        | ((tl @ sk2) = (sk6)))),
% 0.56/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl532, zip_derived_cl95])).
% 0.56/0.96  thf(zip_derived_cl192, plain, ((((nil) = (sk2)) |  (ssItem @ sk5))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.56/0.96  thf(zip_derived_cl555, plain,
% 0.56/0.96      ((((tl @ sk2) = (sk6)) | ~ (ssList @ sk6) | ((nil) = (sk2)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl534, zip_derived_cl192])).
% 0.56/0.96  thf(zip_derived_cl194, plain, ((((nil) = (sk2)) |  (ssList @ sk6))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.96  thf(zip_derived_cl556, plain, ((((nil) = (sk2)) | ((tl @ sk2) = (sk6)))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl555, zip_derived_cl194])).
% 0.56/0.96  thf(zip_derived_cl653, plain,
% 0.56/0.96      ((((sk2) = (nil)) | ((nil) = (sk2)) | ((sk8) = (sk6)))),
% 0.56/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl650, zip_derived_cl556])).
% 0.56/0.96  thf(zip_derived_cl660, plain, ((((sk8) = (sk6)) | ((sk2) = (nil)))),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl653])).
% 0.56/0.96  thf(zip_derived_cl99, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (~ (ssList @ X0) | ~ (ssList @ X1) |  (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause100])).
% 0.56/0.96  thf(co1_19, conjecture,
% 0.56/0.96    (~( ( ~( neq @ sk4 @ nil ) ) | 
% 0.56/0.96        ( ( app @ sk8 @ ( cons @ sk7 @ nil ) ) = ( sk3 ) ) ))).
% 0.56/0.96  thf(zf_stmt_9, negated_conjecture,
% 0.56/0.96    (( ~( neq @ sk4 @ nil ) ) | 
% 0.56/0.96     ( ( app @ sk8 @ ( cons @ sk7 @ nil ) ) = ( sk3 ) )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_19])).
% 0.56/0.96  thf(zip_derived_cl203, plain,
% 0.56/0.96      ((~ (neq @ sk4 @ nil) | ((app @ sk8 @ (cons @ sk7 @ nil)) = (sk3)))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.56/0.96  thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.96  thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.56/0.96  thf(zf_stmt_10, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_6])).
% 0.56/0.96  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.96  thf(zip_derived_cl208, plain,
% 0.56/0.96      ((~ (neq @ sk2 @ nil) | ((app @ sk8 @ (cons @ sk7 @ nil)) = (sk1)))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl203, zip_derived_cl189, zip_derived_cl190])).
% 0.56/0.96  thf(zip_derived_cl292, plain,
% 0.56/0.96      ((((sk2) = (nil))
% 0.56/0.96        | ~ (ssList @ sk2)
% 0.56/0.96        | ~ (ssList @ nil)
% 0.56/0.96        | ((app @ sk8 @ (cons @ sk7 @ nil)) = (sk1)))),
% 0.56/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl99, zip_derived_cl208])).
% 0.56/0.96  thf(zip_derived_cl186, plain, ( (ssList @ sk2)),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.96  thf(zip_derived_cl7, plain, ( (ssList @ nil)),
% 0.56/0.96      inference('cnf', [status(esa)], [clause8])).
% 0.56/0.96  thf(zip_derived_cl298, plain,
% 0.56/0.96      ((((sk2) = (nil)) | ((app @ sk8 @ (cons @ sk7 @ nil)) = (sk1)))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl292, zip_derived_cl186, zip_derived_cl7])).
% 0.56/0.96  thf(zip_derived_cl667, plain,
% 0.56/0.96      ((((sk2) = (nil))
% 0.56/0.96        | ((sk2) = (nil))
% 0.56/0.96        | ((app @ sk6 @ (cons @ sk7 @ nil)) = (sk1)))),
% 0.56/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl660, zip_derived_cl298])).
% 0.56/0.96  thf(zip_derived_cl673, plain,
% 0.56/0.96      ((((app @ sk6 @ (cons @ sk7 @ nil)) = (sk1)) | ((sk2) = (nil)))),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl667])).
% 0.56/0.96  thf(zip_derived_cl843, plain,
% 0.56/0.96      ((((sk2) = (nil))
% 0.56/0.96        | ((app @ sk6 @ (cons @ sk5 @ nil)) = (sk1))
% 0.56/0.96        | ((sk2) = (nil)))),
% 0.56/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl831, zip_derived_cl673])).
% 0.56/0.96  thf(zip_derived_cl853, plain,
% 0.56/0.96      ((((app @ sk6 @ (cons @ sk5 @ nil)) = (sk1)) | ((sk2) = (nil)))),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl843])).
% 0.56/0.96  thf(co1_12, conjecture,
% 0.56/0.96    (~( ( ( nil ) = ( sk2 ) ) | 
% 0.56/0.96        ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) != ( sk1 ) ) ))).
% 0.56/0.96  thf(zf_stmt_11, negated_conjecture,
% 0.56/0.96    (( ( nil ) = ( sk2 ) ) | 
% 0.56/0.96     ( ( app @ sk6 @ ( cons @ sk5 @ nil ) ) != ( sk1 ) )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_12])).
% 0.56/0.96  thf(zip_derived_cl196, plain,
% 0.56/0.96      ((((nil) = (sk2)) | ((app @ sk6 @ (cons @ sk5 @ nil)) != (sk1)))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.56/0.96  thf(zip_derived_cl938, plain, (((sk2) = (nil))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl853, zip_derived_cl196])).
% 0.56/0.96  thf(zip_derived_cl941, plain,
% 0.56/0.96      ((((nil) != (sk1)) | ((app @ (cons @ sk5 @ nil) @ sk6) = (nil)))),
% 0.56/0.96      inference('demod', [status(thm)], [zip_derived_cl198, zip_derived_cl938])).
% 0.56/0.96  thf(co1_7, conjecture, (~( ( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) ) ))).
% 0.56/0.96  thf(zf_stmt_12, negated_conjecture,
% 0.56/0.96    (( ( nil ) != ( sk4 ) ) | ( ( nil ) = ( sk3 ) )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_7])).
% 0.56/0.96  thf(zip_derived_cl191, plain, ((((nil) != (sk4)) | ((nil) = (sk3)))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_12])).
% 0.56/0.96  thf(zip_derived_cl189, plain, (((sk2) = (sk4))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.96  thf(zip_derived_cl190, plain, (((sk1) = (sk3))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_10])).
% 0.56/0.96  thf(zip_derived_cl204, plain, ((((nil) != (sk2)) | ((nil) = (sk1)))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl191, zip_derived_cl189, zip_derived_cl190])).
% 0.56/0.96  thf(zip_derived_cl938, plain, (((sk2) = (nil))),
% 0.56/0.96      inference('clc', [status(thm)], [zip_derived_cl853, zip_derived_cl196])).
% 0.56/0.96  thf(zip_derived_cl942, plain, ((((nil) != (nil)) | ((nil) = (sk1)))),
% 0.56/0.96      inference('demod', [status(thm)], [zip_derived_cl204, zip_derived_cl938])).
% 0.56/0.96  thf(zip_derived_cl943, plain, (((nil) = (sk1))),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl942])).
% 0.56/0.96  thf(zip_derived_cl970, plain,
% 0.56/0.96      ((((nil) != (nil)) | ((app @ (cons @ sk5 @ nil) @ sk6) = (nil)))),
% 0.56/0.96      inference('demod', [status(thm)], [zip_derived_cl941, zip_derived_cl943])).
% 0.56/0.96  thf(zip_derived_cl971, plain, (((app @ (cons @ sk5 @ nil) @ sk6) = (nil))),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl970])).
% 0.56/0.96  thf(zip_derived_cl119, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (~ (ssItem @ X0)
% 0.56/0.96          | ~ (ssList @ X1)
% 0.56/0.96          | ((app @ (cons @ X0 @ nil) @ X1) = (cons @ X0 @ X1)))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause120])).
% 0.56/0.96  thf(zip_derived_cl983, plain,
% 0.56/0.96      ((~ (ssItem @ sk5) | ~ (ssList @ sk6) | ((nil) = (cons @ sk5 @ sk6)))),
% 0.56/0.96      inference('s_sup+', [status(thm)], [zip_derived_cl971, zip_derived_cl119])).
% 0.56/0.96  thf(co1_9, conjecture, (~( ( ( nil ) != ( sk1 ) ) | ( ssItem @ sk5 ) ))).
% 0.56/0.96  thf(zf_stmt_13, negated_conjecture,
% 0.56/0.96    (( ( nil ) != ( sk1 ) ) | ( ssItem @ sk5 )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_9])).
% 0.56/0.96  thf(zip_derived_cl193, plain, ((((nil) != (sk1)) |  (ssItem @ sk5))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.56/0.96  thf(zip_derived_cl943, plain, (((nil) = (sk1))),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl942])).
% 0.56/0.96  thf(zip_derived_cl960, plain, ((((nil) != (nil)) |  (ssItem @ sk5))),
% 0.56/0.96      inference('demod', [status(thm)], [zip_derived_cl193, zip_derived_cl943])).
% 0.56/0.96  thf(zip_derived_cl961, plain, ( (ssItem @ sk5)),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl960])).
% 0.56/0.96  thf(co1_13, conjecture, (~( ( ( nil ) != ( sk1 ) ) | ( ssList @ sk6 ) ))).
% 0.56/0.96  thf(zf_stmt_14, negated_conjecture,
% 0.56/0.96    (( ( nil ) != ( sk1 ) ) | ( ssList @ sk6 )),
% 0.56/0.96    inference('cnf.neg', [status(esa)], [co1_13])).
% 0.56/0.96  thf(zip_derived_cl197, plain, ((((nil) != (sk1)) |  (ssList @ sk6))),
% 0.56/0.96      inference('cnf', [status(esa)], [zf_stmt_14])).
% 0.56/0.96  thf(zip_derived_cl943, plain, (((nil) = (sk1))),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl942])).
% 0.56/0.96  thf(zip_derived_cl962, plain, ((((nil) != (nil)) |  (ssList @ sk6))),
% 0.56/0.96      inference('demod', [status(thm)], [zip_derived_cl197, zip_derived_cl943])).
% 0.56/0.96  thf(zip_derived_cl963, plain, ( (ssList @ sk6)),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl962])).
% 0.56/0.96  thf(zip_derived_cl997, plain, (((nil) = (cons @ sk5 @ sk6))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl983, zip_derived_cl961, zip_derived_cl963])).
% 0.56/0.96  thf(clause98, axiom,
% 0.56/0.96    (( ( cons @ U @ V ) != ( nil ) ) | ( ~( ssItem @ U ) ) | 
% 0.56/0.96     ( ~( ssList @ V ) ))).
% 0.56/0.96  thf(zip_derived_cl97, plain,
% 0.56/0.96      (![X0 : $i, X1 : $i]:
% 0.56/0.96         (((cons @ X0 @ X1) != (nil)) | ~ (ssItem @ X0) | ~ (ssList @ X1))),
% 0.56/0.96      inference('cnf', [status(esa)], [clause98])).
% 0.56/0.96  thf(zip_derived_cl1001, plain,
% 0.56/0.96      ((((nil) != (nil)) | ~ (ssItem @ sk5) | ~ (ssList @ sk6))),
% 0.56/0.96      inference('s_sup-', [status(thm)], [zip_derived_cl997, zip_derived_cl97])).
% 0.56/0.96  thf(zip_derived_cl961, plain, ( (ssItem @ sk5)),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl960])).
% 0.56/0.96  thf(zip_derived_cl963, plain, ( (ssList @ sk6)),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl962])).
% 0.56/0.96  thf(zip_derived_cl1011, plain, (((nil) != (nil))),
% 0.56/0.96      inference('demod', [status(thm)],
% 0.56/0.96                [zip_derived_cl1001, zip_derived_cl961, zip_derived_cl963])).
% 0.56/0.96  thf(zip_derived_cl1012, plain, ($false),
% 0.56/0.96      inference('simplify', [status(thm)], [zip_derived_cl1011])).
% 0.56/0.96  
% 0.56/0.96  % SZS output end Refutation
% 0.56/0.96  
% 0.56/0.96  
% 0.56/0.96  % Terminating...
% 0.62/1.07  % Runner terminated.
% 0.62/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------