TSTP Solution File: SWC013-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWC013-1 : 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.IhJSW5naBn 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 21:28:29 EDT 2023

% Result   : Unsatisfiable 0.90s 0.78s
% Output   : Refutation 0.90s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SWC013-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.IhJSW5naBn true
% 0.15/0.35  % Computer : n001.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Aug 28 16:28:50 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in FO mode
% 0.21/0.66  % Total configuration time : 435
% 0.21/0.66  % Estimated wc time : 1092
% 0.21/0.66  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.90/0.78  % Solved by fo/fo3_bce.sh.
% 0.90/0.78  % BCE start: 71
% 0.90/0.78  % BCE eliminated: 1
% 0.90/0.78  % PE start: 70
% 0.90/0.78  logic: eq
% 0.90/0.78  % PE eliminated: 0
% 0.90/0.78  % done 48 iterations in 0.039s
% 0.90/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.90/0.78  % SZS output start Refutation
% 0.90/0.78  thf(nil_type, type, nil: $i).
% 0.90/0.78  thf(cons_type, type, cons: $i > $i > $i).
% 0.90/0.78  thf(sk2_type, type, sk2: $i).
% 0.90/0.78  thf(sk4_type, type, sk4: $i).
% 0.90/0.78  thf(hd_type, type, hd: $i > $i).
% 0.90/0.78  thf(ssItem_type, type, ssItem: $i > $o).
% 0.90/0.78  thf(sk3_type, type, sk3: $i).
% 0.90/0.78  thf(neq_type, type, neq: $i > $i > $o).
% 0.90/0.78  thf(ssList_type, type, ssList: $i > $o).
% 0.90/0.78  thf(sk1_type, type, sk1: $i).
% 0.90/0.78  thf(clause76, axiom,
% 0.90/0.78    (( ~( ssList @ U ) ) | ( ssItem @ ( hd @ U ) ) | ( ( nil ) = ( U ) ))).
% 0.90/0.78  thf(zip_derived_cl10, plain,
% 0.90/0.78      (![X0 : $i]: (~ (ssList @ X0) |  (ssItem @ (hd @ X0)) | ((nil) = (X0)))),
% 0.90/0.78      inference('cnf', [status(esa)], [clause76])).
% 0.90/0.78  thf(clause86, axiom,
% 0.90/0.78    (( ~( ssItem @ U ) ) | ( ~( ssList @ V ) ) | ( ssList @ ( cons @ U @ V ) ))).
% 0.90/0.78  thf(zip_derived_cl14, plain,
% 0.90/0.78      (![X0 : $i, X1 : $i]:
% 0.90/0.78         (~ (ssItem @ X0) | ~ (ssList @ X1) |  (ssList @ (cons @ X0 @ X1)))),
% 0.90/0.79      inference('cnf', [status(esa)], [clause86])).
% 0.90/0.79  thf(clause100, axiom,
% 0.90/0.79    (( ~( ssList @ U ) ) | ( ~( ssList @ V ) ) | ( neq @ V @ U ) | 
% 0.90/0.79     ( ( V ) = ( U ) ))).
% 0.90/0.79  thf(zip_derived_cl21, plain,
% 0.90/0.79      (![X0 : $i, X1 : $i]:
% 0.90/0.79         (~ (ssList @ X0) | ~ (ssList @ X1) |  (neq @ X1 @ X0) | ((X1) = (X0)))),
% 0.90/0.79      inference('cnf', [status(esa)], [clause100])).
% 0.90/0.79  thf(co1_11, conjecture,
% 0.90/0.79    (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) | 
% 0.90/0.79        ( ( hd @ sk4 ) != ( B ) ) | ( ( cons @ B @ nil ) != ( A ) ) | 
% 0.90/0.79        ( ~( ssItem @ B ) ) | ( ( sk3 ) = ( A ) ) | ( ~( ssList @ A ) ) ))).
% 0.90/0.79  thf(zf_stmt_0, negated_conjecture,
% 0.90/0.79    (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk4 ) ) | 
% 0.90/0.79     ( ( hd @ sk4 ) != ( B ) ) | ( ( cons @ B @ nil ) != ( A ) ) | 
% 0.90/0.79     ( ~( ssItem @ B ) ) | ( ( sk3 ) = ( A ) ) | ( ~( ssList @ A ) )),
% 0.90/0.79    inference('cnf.neg', [status(esa)], [co1_11])).
% 0.90/0.79  thf(zip_derived_cl60, plain,
% 0.90/0.79      (![X0 : $i, X1 : $i]:
% 0.90/0.79         (~ (neq @ sk4 @ nil)
% 0.90/0.79          | ~ (neq @ nil @ sk4)
% 0.90/0.79          | ((hd @ sk4) != (X0))
% 0.90/0.79          | ((cons @ X0 @ nil) != (X1))
% 0.90/0.79          | ~ (ssItem @ X0)
% 0.90/0.79          | ((sk3) = (X1))
% 0.90/0.79          | ~ (ssList @ X1))),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.90/0.79  thf(co1_5, conjecture, (( sk2 ) != ( sk4 ))).
% 0.90/0.79  thf(zf_stmt_1, negated_conjecture, (( sk2 ) = ( sk4 )),
% 0.90/0.79    inference('cnf.neg', [status(esa)], [co1_5])).
% 0.90/0.79  thf(zip_derived_cl66, plain, (((sk2) = (sk4))),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/0.79  thf(co1_7, conjecture, (~( neq @ sk2 @ nil ))).
% 0.90/0.79  thf(zf_stmt_2, negated_conjecture, (neq @ sk2 @ nil),
% 0.90/0.79    inference('cnf.neg', [status(esa)], [co1_7])).
% 0.90/0.79  thf(zip_derived_cl64, plain, ( (neq @ sk2 @ nil)),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.90/0.79  thf(zip_derived_cl66, plain, (((sk2) = (sk4))),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/0.79  thf(zip_derived_cl66, plain, (((sk2) = (sk4))),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/0.79  thf(co1_6, conjecture, (( sk1 ) != ( sk3 ))).
% 0.90/0.79  thf(zf_stmt_3, negated_conjecture, (( sk1 ) = ( sk3 )),
% 0.90/0.79    inference('cnf.neg', [status(esa)], [co1_6])).
% 0.90/0.79  thf(zip_derived_cl65, plain, (((sk1) = (sk3))),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.90/0.79  thf(zip_derived_cl573, plain,
% 0.90/0.79      (![X0 : $i, X1 : $i]:
% 0.90/0.79         (~ (neq @ nil @ sk2)
% 0.90/0.79          | ((hd @ sk2) != (X0))
% 0.90/0.79          | ((cons @ X0 @ nil) != (X1))
% 0.90/0.79          | ~ (ssItem @ X0)
% 0.90/0.79          | ((sk1) = (X1))
% 0.90/0.79          | ~ (ssList @ X1))),
% 0.90/0.79      inference('demod', [status(thm)],
% 0.90/0.79                [zip_derived_cl60, zip_derived_cl66, zip_derived_cl64, 
% 0.90/0.79                 zip_derived_cl66, zip_derived_cl66, zip_derived_cl65])).
% 0.90/0.79  thf(co1_12, conjecture,
% 0.90/0.79    (~( ( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk2 ) ) | 
% 0.90/0.79        ( ( hd @ sk2 ) != ( B ) ) | ( ( cons @ B @ nil ) != ( A ) ) | 
% 0.90/0.79        ( ~( ssItem @ B ) ) | ( ( sk1 ) != ( A ) ) | ( ~( ssList @ A ) ) ))).
% 0.90/0.79  thf(zf_stmt_4, negated_conjecture,
% 0.90/0.79    (( ~( neq @ sk4 @ nil ) ) | ( ~( neq @ nil @ sk2 ) ) | 
% 0.90/0.79     ( ( hd @ sk2 ) != ( B ) ) | ( ( cons @ B @ nil ) != ( A ) ) | 
% 0.90/0.79     ( ~( ssItem @ B ) ) | ( ( sk1 ) != ( A ) ) | ( ~( ssList @ A ) )),
% 0.90/0.79    inference('cnf.neg', [status(esa)], [co1_12])).
% 0.90/0.79  thf(zip_derived_cl59, plain,
% 0.90/0.79      (![X0 : $i, X1 : $i]:
% 0.90/0.79         (~ (neq @ sk4 @ nil)
% 0.90/0.79          | ~ (neq @ nil @ sk2)
% 0.90/0.79          | ((hd @ sk2) != (X0))
% 0.90/0.79          | ((cons @ X0 @ nil) != (X1))
% 0.90/0.79          | ~ (ssItem @ X0)
% 0.90/0.79          | ((sk1) != (X1))
% 0.90/0.79          | ~ (ssList @ X1))),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.90/0.79  thf(zip_derived_cl66, plain, (((sk2) = (sk4))),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/0.79  thf(zip_derived_cl64, plain, ( (neq @ sk2 @ nil)),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.90/0.79  thf(zip_derived_cl552, plain,
% 0.90/0.79      (![X0 : $i, X1 : $i]:
% 0.90/0.79         (~ (neq @ nil @ sk2)
% 0.90/0.79          | ((hd @ sk2) != (X0))
% 0.90/0.79          | ((cons @ X0 @ nil) != (X1))
% 0.90/0.79          | ~ (ssItem @ X0)
% 0.90/0.79          | ((sk1) != (X1))
% 0.90/0.79          | ~ (ssList @ X1))),
% 0.90/0.79      inference('demod', [status(thm)],
% 0.90/0.79                [zip_derived_cl59, zip_derived_cl66, zip_derived_cl64])).
% 0.90/0.79  thf(zip_derived_cl574, plain,
% 0.90/0.79      (![X0 : $i, X1 : $i]:
% 0.90/0.79         (~ (ssList @ X1)
% 0.90/0.79          | ~ (ssItem @ X0)
% 0.90/0.79          | ((cons @ X0 @ nil) != (X1))
% 0.90/0.79          | ((hd @ sk2) != (X0))
% 0.90/0.79          | ~ (neq @ nil @ sk2))),
% 0.90/0.79      inference('clc', [status(thm)], [zip_derived_cl573, zip_derived_cl552])).
% 0.90/0.79  thf(zip_derived_cl588, plain,
% 0.90/0.79      (![X0 : $i, X1 : $i]:
% 0.90/0.79         (((nil) = (sk2))
% 0.90/0.79          | ~ (ssList @ nil)
% 0.90/0.79          | ~ (ssList @ sk2)
% 0.90/0.79          | ((hd @ sk2) != (X0))
% 0.90/0.79          | ((cons @ X0 @ nil) != (X1))
% 0.90/0.79          | ~ (ssItem @ X0)
% 0.90/0.79          | ~ (ssList @ X1))),
% 0.90/0.79      inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl574])).
% 0.90/0.79  thf(clause8, axiom, (ssList @ nil)).
% 0.90/0.79  thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.90/0.79      inference('cnf', [status(esa)], [clause8])).
% 0.90/0.79  thf(co1_4, conjecture, (~( ssList @ sk4 ))).
% 0.90/0.79  thf(zf_stmt_5, negated_conjecture, (ssList @ sk4),
% 0.90/0.79    inference('cnf.neg', [status(esa)], [co1_4])).
% 0.90/0.79  thf(zip_derived_cl67, plain, ( (ssList @ sk4)),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.90/0.79  thf(zip_derived_cl66, plain, (((sk2) = (sk4))),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.90/0.79  thf(zip_derived_cl545, plain, ( (ssList @ sk2)),
% 0.90/0.79      inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl66])).
% 0.90/0.79  thf(zip_derived_cl593, plain,
% 0.90/0.79      (![X0 : $i, X1 : $i]:
% 0.90/0.79         (((nil) = (sk2))
% 0.90/0.79          | ((hd @ sk2) != (X0))
% 0.90/0.79          | ((cons @ X0 @ nil) != (X1))
% 0.90/0.79          | ~ (ssItem @ X0)
% 0.90/0.79          | ~ (ssList @ X1))),
% 0.90/0.79      inference('demod', [status(thm)],
% 0.90/0.79                [zip_derived_cl588, zip_derived_cl2, zip_derived_cl545])).
% 0.90/0.79  thf(zip_derived_cl64, plain, ( (neq @ sk2 @ nil)),
% 0.90/0.79      inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.90/0.79  thf(clause115, axiom,
% 0.90/0.79    (( ( U ) != ( V ) ) | ( ~( neq @ U @ V ) ) | ( ~( ssList @ V ) ) | 
% 0.90/0.79     ( ~( ssList @ U ) ))).
% 0.90/0.79  thf(zip_derived_cl29, plain,
% 0.90/0.79      (![X0 : $i, X1 : $i]:
% 0.90/0.79         (((X1) != (X0))
% 0.90/0.79          | ~ (neq @ X1 @ X0)
% 0.90/0.79          | ~ (ssList @ X0)
% 0.90/0.79          | ~ (ssList @ X1))),
% 0.90/0.79      inference('cnf', [status(esa)], [clause115])).
% 0.90/0.79  thf(zip_derived_cl549, plain,
% 0.90/0.79      ((~ (ssList @ sk2) | ~ (ssList @ nil) | ((sk2) != (nil)))),
% 0.90/0.79      inference('sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl29])).
% 0.90/0.79  thf(zip_derived_cl545, plain, ( (ssList @ sk2)),
% 0.90/0.79      inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl66])).
% 0.90/0.79  thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.90/0.79      inference('cnf', [status(esa)], [clause8])).
% 0.90/0.79  thf(zip_derived_cl550, plain, (((sk2) != (nil))),
% 0.90/0.79      inference('demod', [status(thm)],
% 0.90/0.79                [zip_derived_cl549, zip_derived_cl545, zip_derived_cl2])).
% 0.90/0.79  thf(zip_derived_cl594, plain,
% 0.90/0.79      (![X0 : $i, X1 : $i]:
% 0.90/0.79         (((hd @ sk2) != (X0))
% 0.90/0.79          | ((cons @ X0 @ nil) != (X1))
% 0.90/0.79          | ~ (ssItem @ X0)
% 0.90/0.79          | ~ (ssList @ X1))),
% 0.90/0.79      inference('simplify_reflect-', [status(thm)],
% 0.90/0.79                [zip_derived_cl593, zip_derived_cl550])).
% 0.90/0.79  thf(zip_derived_cl595, plain,
% 0.90/0.79      (![X0 : $i]:
% 0.90/0.79         (~ (ssList @ (cons @ X0 @ nil))
% 0.90/0.79          | ~ (ssItem @ X0)
% 0.90/0.79          | ((hd @ sk2) != (X0)))),
% 0.90/0.79      inference('eq_res', [status(thm)], [zip_derived_cl594])).
% 0.90/0.79  thf(zip_derived_cl597, plain,
% 0.90/0.79      (![X0 : $i]:
% 0.90/0.79         (~ (ssList @ nil)
% 0.90/0.79          | ~ (ssItem @ X0)
% 0.90/0.79          | ((hd @ sk2) != (X0))
% 0.90/0.79          | ~ (ssItem @ X0))),
% 0.90/0.79      inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl595])).
% 0.90/0.79  thf(zip_derived_cl2, plain, ( (ssList @ nil)),
% 0.90/0.79      inference('cnf', [status(esa)], [clause8])).
% 0.90/0.79  thf(zip_derived_cl598, plain,
% 0.90/0.79      (![X0 : $i]: (~ (ssItem @ X0) | ((hd @ sk2) != (X0)) | ~ (ssItem @ X0))),
% 0.90/0.79      inference('demod', [status(thm)], [zip_derived_cl597, zip_derived_cl2])).
% 0.90/0.79  thf(zip_derived_cl599, plain,
% 0.90/0.79      (![X0 : $i]: (((hd @ sk2) != (X0)) | ~ (ssItem @ X0))),
% 0.90/0.79      inference('simplify', [status(thm)], [zip_derived_cl598])).
% 0.90/0.79  thf(zip_derived_cl602, plain,
% 0.90/0.79      (![X0 : $i]:
% 0.90/0.79         (((nil) = (X0)) | ~ (ssList @ X0) | ((hd @ sk2) != (hd @ X0)))),
% 0.90/0.79      inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl599])).
% 0.90/0.79  thf(zip_derived_cl604, plain, ((~ (ssList @ sk2) | ((nil) = (sk2)))),
% 0.90/0.79      inference('eq_res', [status(thm)], [zip_derived_cl602])).
% 0.90/0.79  thf(zip_derived_cl545, plain, ( (ssList @ sk2)),
% 0.90/0.79      inference('demod', [status(thm)], [zip_derived_cl67, zip_derived_cl66])).
% 0.90/0.79  thf(zip_derived_cl605, plain, (((nil) = (sk2))),
% 0.90/0.79      inference('demod', [status(thm)], [zip_derived_cl604, zip_derived_cl545])).
% 0.90/0.79  thf(zip_derived_cl550, plain, (((sk2) != (nil))),
% 0.90/0.79      inference('demod', [status(thm)],
% 0.90/0.79                [zip_derived_cl549, zip_derived_cl545, zip_derived_cl2])).
% 0.90/0.79  thf(zip_derived_cl606, plain, ($false),
% 0.90/0.79      inference('simplify_reflect-', [status(thm)],
% 0.90/0.79                [zip_derived_cl605, zip_derived_cl550])).
% 0.90/0.79  
% 0.90/0.79  % SZS output end Refutation
% 0.90/0.79  
% 0.90/0.79  
% 0.90/0.79  % Terminating...
% 1.43/0.86  % Runner terminated.
% 1.43/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------