TSTP Solution File: LCL321-3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL321-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KMW8T5Kevj 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 08:59:18 EDT 2023

% Result   : Unsatisfiable 0.20s 0.73s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : LCL321-3 : TPTP v8.1.2. Released v2.3.0.
% 0.00/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KMW8T5Kevj true
% 0.16/0.33  % Computer : n001.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit : 300
% 0.16/0.33  % WCLimit  : 300
% 0.16/0.33  % DateTime : Fri Aug 25 01:46:42 EDT 2023
% 0.16/0.33  % CPUTime  : 
% 0.16/0.33  % Running portfolio for 300 s
% 0.16/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.33  % Number of cores: 8
% 0.16/0.34  % Python version: Python 3.6.8
% 0.16/0.34  % Running in FO mode
% 0.20/0.60  % Total configuration time : 435
% 0.20/0.60  % Estimated wc time : 1092
% 0.20/0.60  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.73  % Solved by fo/fo6_bce.sh.
% 0.20/0.73  % BCE start: 9
% 0.20/0.73  % BCE eliminated: 0
% 0.20/0.73  % PE start: 9
% 0.20/0.73  logic: eq
% 0.20/0.73  % PE eliminated: 1
% 0.20/0.73  % done 39 iterations in 0.032s
% 0.20/0.73  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.20/0.73  % SZS output start Refutation
% 0.20/0.73  thf(axiom_type, type, axiom: $i > $o).
% 0.20/0.73  thf(implies_type, type, implies: $i > $i > $i).
% 0.20/0.73  thf(p_type, type, p: $i).
% 0.20/0.73  thf(or_type, type, or: $i > $i > $i).
% 0.20/0.73  thf(q_type, type, q: $i).
% 0.20/0.73  thf(theorem_type, type, theorem: $i > $o).
% 0.20/0.73  thf(not_type, type, not: $i > $i).
% 0.20/0.73  thf(implies_definition, axiom,
% 0.20/0.73    (( implies @ X @ Y ) = ( or @ ( not @ X ) @ Y ))).
% 0.20/0.73  thf(zip_derived_cl5, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.73      inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.73  thf(axiom_1_4, axiom,
% 0.20/0.73    (axiom @ ( implies @ ( or @ A @ B ) @ ( or @ B @ A ) ))).
% 0.20/0.73  thf(zip_derived_cl2, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:
% 0.20/0.73          (axiom @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 0.20/0.73      inference('cnf', [status(esa)], [axiom_1_4])).
% 0.20/0.73  thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 0.20/0.73  thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.20/0.73      inference('cnf', [status(esa)], [rule_1])).
% 0.20/0.73  thf(zip_derived_cl33, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:
% 0.20/0.73          (theorem @ (implies @ (or @ X0 @ X1) @ (or @ X1 @ X0)))),
% 0.20/0.73      inference('dp-resolution', [status(thm)],
% 0.20/0.73                [zip_derived_cl2, zip_derived_cl6])).
% 0.20/0.73  thf(rule_2, axiom,
% 0.20/0.73    (( theorem @ X ) | ( ~( theorem @ ( implies @ Y @ X ) ) ) | 
% 0.20/0.73     ( ~( theorem @ Y ) ))).
% 0.20/0.73  thf(zip_derived_cl7, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:
% 0.20/0.73         ( (theorem @ X0)
% 0.20/0.73          | ~ (theorem @ (implies @ X1 @ X0))
% 0.20/0.73          | ~ (theorem @ X1))),
% 0.20/0.73      inference('cnf', [status(esa)], [rule_2])).
% 0.20/0.73  thf(zip_derived_cl44, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:
% 0.20/0.73         ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ (or @ X0 @ X1)))),
% 0.20/0.73      inference('s_sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl7])).
% 0.20/0.73  thf(zip_derived_cl48, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:
% 0.20/0.73         ( (theorem @ (or @ X0 @ (not @ X1)))
% 0.20/0.73          | ~ (theorem @ (implies @ X1 @ X0)))),
% 0.20/0.73      inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl44])).
% 0.20/0.73  thf(zip_derived_cl5, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.73      inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.73  thf(axiom_1_3, axiom, (axiom @ ( implies @ A @ ( or @ B @ A ) ))).
% 0.20/0.73  thf(zip_derived_cl1, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:  (axiom @ (implies @ X0 @ (or @ X1 @ X0)))),
% 0.20/0.73      inference('cnf', [status(esa)], [axiom_1_3])).
% 0.20/0.73  thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.20/0.73      inference('cnf', [status(esa)], [rule_1])).
% 0.20/0.73  thf(zip_derived_cl32, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:  (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 0.20/0.73      inference('dp-resolution', [status(thm)],
% 0.20/0.73                [zip_derived_cl1, zip_derived_cl6])).
% 0.20/0.73  thf(zip_derived_cl7, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:
% 0.20/0.73         ( (theorem @ X0)
% 0.20/0.73          | ~ (theorem @ (implies @ X1 @ X0))
% 0.20/0.73          | ~ (theorem @ X1))),
% 0.20/0.73      inference('cnf', [status(esa)], [rule_2])).
% 0.20/0.73  thf(zip_derived_cl39, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]: ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ X0))),
% 0.20/0.73      inference('s_sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl7])).
% 0.20/0.73  thf(zip_derived_cl43, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:
% 0.20/0.73         ( (theorem @ (implies @ X1 @ X0)) | ~ (theorem @ X0))),
% 0.20/0.73      inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl39])).
% 0.20/0.73  thf(zip_derived_cl5, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.73      inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.73  thf(axiom_1_5, axiom,
% 0.20/0.73    (axiom @
% 0.20/0.73     ( implies @ ( or @ A @ ( or @ B @ C ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 0.20/0.73  thf(zip_derived_cl3, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.73          (axiom @ 
% 0.20/0.73           (implies @ (or @ X0 @ (or @ X1 @ X2)) @ (or @ X1 @ (or @ X0 @ X2))))),
% 0.20/0.73      inference('cnf', [status(esa)], [axiom_1_5])).
% 0.20/0.73  thf(zip_derived_cl6, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 0.20/0.73      inference('cnf', [status(esa)], [rule_1])).
% 0.20/0.73  thf(zip_derived_cl34, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.73          (theorem @ 
% 0.20/0.73           (implies @ (or @ X1 @ (or @ X2 @ X0)) @ (or @ X2 @ (or @ X1 @ X0))))),
% 0.20/0.73      inference('dp-resolution', [status(thm)],
% 0.20/0.73                [zip_derived_cl3, zip_derived_cl6])).
% 0.20/0.73  thf(zip_derived_cl7, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:
% 0.20/0.73         ( (theorem @ X0)
% 0.20/0.73          | ~ (theorem @ (implies @ X1 @ X0))
% 0.20/0.73          | ~ (theorem @ X1))),
% 0.20/0.73      inference('cnf', [status(esa)], [rule_2])).
% 0.20/0.73  thf(zip_derived_cl53, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.73         ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 0.20/0.73          | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 0.20/0.73      inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
% 0.20/0.73  thf(zip_derived_cl85, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.73         ( (theorem @ (or @ X1 @ (or @ (not @ X2) @ X0)))
% 0.20/0.73          | ~ (theorem @ (implies @ X2 @ (or @ X1 @ X0))))),
% 0.20/0.73      inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl53])).
% 0.20/0.73  thf(zip_derived_cl5, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.73      inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.73  thf(zip_derived_cl88, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i, X2 : $i]:
% 0.20/0.73         ( (theorem @ (or @ X1 @ (implies @ X2 @ X0)))
% 0.20/0.73          | ~ (theorem @ (implies @ X2 @ (or @ X1 @ X0))))),
% 0.20/0.73      inference('demod', [status(thm)], [zip_derived_cl85, zip_derived_cl5])).
% 0.20/0.73  thf(prove_this, conjecture,
% 0.20/0.73    (theorem @ ( or @ ( implies @ p @ q ) @ ( implies @ p @ ( not @ q ) ) ))).
% 0.20/0.73  thf(zf_stmt_0, negated_conjecture,
% 0.20/0.73    (~( theorem @ ( or @ ( implies @ p @ q ) @ ( implies @ p @ ( not @ q ) ) ) )),
% 0.20/0.73    inference('cnf.neg', [status(esa)], [prove_this])).
% 0.20/0.73  thf(zip_derived_cl8, plain,
% 0.20/0.73      (~ (theorem @ (or @ (implies @ p @ q) @ (implies @ p @ (not @ q))))),
% 0.20/0.73      inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.20/0.73  thf(zip_derived_cl103, plain,
% 0.20/0.73      (~ (theorem @ (implies @ p @ (or @ (implies @ p @ q) @ (not @ q))))),
% 0.20/0.73      inference('s_sup-', [status(thm)], [zip_derived_cl88, zip_derived_cl8])).
% 0.20/0.73  thf(zip_derived_cl106, plain,
% 0.20/0.73      (~ (theorem @ (or @ (implies @ p @ q) @ (not @ q)))),
% 0.20/0.73      inference('s_sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl103])).
% 0.20/0.73  thf(zip_derived_cl109, plain,
% 0.20/0.73      (~ (theorem @ (implies @ q @ (implies @ p @ q)))),
% 0.20/0.73      inference('s_sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl106])).
% 0.20/0.73  thf(zip_derived_cl5, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]: ((implies @ X0 @ X1) = (or @ (not @ X0) @ X1))),
% 0.20/0.73      inference('cnf', [status(esa)], [implies_definition])).
% 0.20/0.73  thf(zip_derived_cl32, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:  (theorem @ (implies @ X0 @ (or @ X1 @ X0)))),
% 0.20/0.73      inference('dp-resolution', [status(thm)],
% 0.20/0.73                [zip_derived_cl1, zip_derived_cl6])).
% 0.20/0.73  thf(zip_derived_cl40, plain,
% 0.20/0.73      (![X0 : $i, X1 : $i]:  (theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 0.20/0.73      inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl32])).
% 0.20/0.73  thf(zip_derived_cl110, plain, ($false),
% 0.20/0.73      inference('demod', [status(thm)], [zip_derived_cl109, zip_derived_cl40])).
% 0.20/0.73  
% 0.20/0.73  % SZS output end Refutation
% 0.20/0.73  
% 0.20/0.73  
% 0.20/0.73  % Terminating...
% 0.20/0.82  % Runner terminated.
% 0.20/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------