TSTP Solution File: LCL198-1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL198-1 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jztv8kmkoG true

% Computer : n006.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 08:58:41 EDT 2023

% Result   : Unsatisfiable 14.26s 2.63s
% Output   : Refutation 14.26s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : LCL198-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.jztv8kmkoG true
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 03:49:52 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.23/0.65  % Total configuration time : 435
% 0.23/0.65  % Estimated wc time : 1092
% 0.23/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.74  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.75  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.23/0.77  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 14.26/2.63  % Solved by fo/fo1_av.sh.
% 14.26/2.63  % done 1736 iterations in 1.853s
% 14.26/2.63  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.26/2.63  % SZS output start Refutation
% 14.26/2.63  thf(p_type, type, p: $i).
% 14.26/2.63  thf(axiom_type, type, axiom: $i > $o).
% 14.26/2.63  thf(or_type, type, or: $i > $i > $i).
% 14.26/2.63  thf(not_type, type, not: $i > $i).
% 14.26/2.63  thf(q_type, type, q: $i).
% 14.26/2.63  thf(theorem_type, type, theorem: $i > $o).
% 14.26/2.63  thf(axiom_1_3, axiom, (axiom @ ( or @ ( not @ A ) @ ( or @ B @ A ) ))).
% 14.26/2.63  thf(zip_derived_cl1, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:  (axiom @ (or @ (not @ X0) @ (or @ X1 @ X0)))),
% 14.26/2.63      inference('cnf', [status(esa)], [axiom_1_3])).
% 14.26/2.63  thf(rule_2, axiom,
% 14.26/2.63    (( theorem @ X ) | ( ~( axiom @ ( or @ ( not @ Y ) @ X ) ) ) | 
% 14.26/2.63     ( ~( theorem @ Y ) ))).
% 14.26/2.63  thf(zip_derived_cl6, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63         ( (theorem @ X0)
% 14.26/2.63          | ~ (axiom @ (or @ (not @ X1) @ X0))
% 14.26/2.63          | ~ (theorem @ X1))),
% 14.26/2.63      inference('cnf', [status(esa)], [rule_2])).
% 14.26/2.63  thf(zip_derived_cl15, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]: ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ X0))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl6])).
% 14.26/2.63  thf(axiom_1_5, axiom,
% 14.26/2.63    (axiom @
% 14.26/2.63     ( or @ ( not @ ( or @ A @ ( or @ B @ C ) ) ) @ ( or @ B @ ( or @ A @ C ) ) ))).
% 14.26/2.63  thf(zip_derived_cl3, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63          (axiom @ 
% 14.26/2.63           (or @ (not @ (or @ X0 @ (or @ X1 @ X2))) @ 
% 14.26/2.63            (or @ X1 @ (or @ X0 @ X2))))),
% 14.26/2.63      inference('cnf', [status(esa)], [axiom_1_5])).
% 14.26/2.63  thf(zip_derived_cl6, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63         ( (theorem @ X0)
% 14.26/2.63          | ~ (axiom @ (or @ (not @ X1) @ X0))
% 14.26/2.63          | ~ (theorem @ X1))),
% 14.26/2.63      inference('cnf', [status(esa)], [rule_2])).
% 14.26/2.63  thf(zip_derived_cl27, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 14.26/2.63          | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 14.26/2.63  thf(zip_derived_cl52, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         (~ (theorem @ (or @ X1 @ X0))
% 14.26/2.63          |  (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl27])).
% 14.26/2.63  thf(axiom_1_4, axiom,
% 14.26/2.63    (axiom @ ( or @ ( not @ ( or @ A @ B ) ) @ ( or @ B @ A ) ))).
% 14.26/2.63  thf(zip_derived_cl2, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63          (axiom @ (or @ (not @ (or @ X0 @ X1)) @ (or @ X1 @ X0)))),
% 14.26/2.63      inference('cnf', [status(esa)], [axiom_1_4])).
% 14.26/2.63  thf(zip_derived_cl6, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63         ( (theorem @ X0)
% 14.26/2.63          | ~ (axiom @ (or @ (not @ X1) @ X0))
% 14.26/2.63          | ~ (theorem @ X1))),
% 14.26/2.63      inference('cnf', [status(esa)], [rule_2])).
% 14.26/2.63  thf(zip_derived_cl17, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63         ( (theorem @ (or @ X1 @ X0)) | ~ (theorem @ (or @ X0 @ X1)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 14.26/2.63  thf(zip_derived_cl146, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         (~ (theorem @ (or @ X2 @ X0))
% 14.26/2.63          |  (theorem @ (or @ (or @ X1 @ X0) @ X2)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl17])).
% 14.26/2.63  thf(zip_derived_cl27, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 14.26/2.63          | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 14.26/2.63  thf(zip_derived_cl253, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.26/2.63         (~ (theorem @ (or @ (or @ X1 @ X0) @ X2))
% 14.26/2.63          |  (theorem @ (or @ X1 @ (or @ (or @ X3 @ X2) @ X0))))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl27])).
% 14.26/2.63  thf(axiom_1_2, axiom, (axiom @ ( or @ ( not @ ( or @ A @ A ) ) @ A ))).
% 14.26/2.63  thf(zip_derived_cl0, plain,
% 14.26/2.63      (![X0 : $i]:  (axiom @ (or @ (not @ (or @ X0 @ X0)) @ X0))),
% 14.26/2.63      inference('cnf', [status(esa)], [axiom_1_2])).
% 14.26/2.63  thf(zip_derived_cl6, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63         ( (theorem @ X0)
% 14.26/2.63          | ~ (axiom @ (or @ (not @ X1) @ X0))
% 14.26/2.63          | ~ (theorem @ X1))),
% 14.26/2.63      inference('cnf', [status(esa)], [rule_2])).
% 14.26/2.63  thf(zip_derived_cl11, plain,
% 14.26/2.63      (![X0 : $i]: ( (theorem @ X0) | ~ (theorem @ (or @ X0 @ X0)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 14.26/2.63  thf(zip_derived_cl2200, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         (~ (theorem @ (or @ (or @ (or @ (or @ X2 @ X1) @ X0) @ X0) @ X1))
% 14.26/2.63          |  (theorem @ (or @ (or @ X2 @ X1) @ X0)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl253, zip_derived_cl11])).
% 14.26/2.63  thf(zip_derived_cl146, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         (~ (theorem @ (or @ X2 @ X0))
% 14.26/2.63          |  (theorem @ (or @ (or @ X1 @ X0) @ X2)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl52, zip_derived_cl17])).
% 14.26/2.63  thf(zip_derived_cl2341, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         ( (theorem @ (or @ (or @ X2 @ X0) @ X1))
% 14.26/2.63          | ~ (theorem @ (or @ X0 @ X1)))),
% 14.26/2.63      inference('s_sup+', [status(thm)],
% 14.26/2.63                [zip_derived_cl2200, zip_derived_cl146])).
% 14.26/2.63  thf(zip_derived_cl11, plain,
% 14.26/2.63      (![X0 : $i]: ( (theorem @ X0) | ~ (theorem @ (or @ X0 @ X0)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl6])).
% 14.26/2.63  thf(zip_derived_cl2434, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63         (~ (theorem @ (or @ X0 @ (or @ X1 @ X0)))
% 14.26/2.63          |  (theorem @ (or @ X1 @ X0)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl2341, zip_derived_cl11])).
% 14.26/2.63  thf(axiom_1_6, axiom,
% 14.26/2.63    (axiom @
% 14.26/2.63     ( or @
% 14.26/2.63       ( not @ ( or @ ( not @ A ) @ B ) ) @ 
% 14.26/2.63       ( or @ ( not @ ( or @ C @ A ) ) @ ( or @ C @ B ) ) ))).
% 14.26/2.63  thf(zip_derived_cl4, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63          (axiom @ 
% 14.26/2.63           (or @ (not @ (or @ (not @ X0) @ X1)) @ 
% 14.26/2.63            (or @ (not @ (or @ X2 @ X0)) @ (or @ X2 @ X1))))),
% 14.26/2.63      inference('cnf', [status(esa)], [axiom_1_6])).
% 14.26/2.63  thf(zip_derived_cl6, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63         ( (theorem @ X0)
% 14.26/2.63          | ~ (axiom @ (or @ (not @ X1) @ X0))
% 14.26/2.63          | ~ (theorem @ X1))),
% 14.26/2.63      inference('cnf', [status(esa)], [rule_2])).
% 14.26/2.63  thf(zip_derived_cl44, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         ( (theorem @ (or @ (not @ (or @ X1 @ X2)) @ (or @ X1 @ X0)))
% 14.26/2.63          | ~ (theorem @ (or @ (not @ X2) @ X0)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl6])).
% 14.26/2.63  thf(zip_derived_cl27, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         ( (theorem @ (or @ X2 @ (or @ X1 @ X0)))
% 14.26/2.63          | ~ (theorem @ (or @ X1 @ (or @ X2 @ X0))))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl6])).
% 14.26/2.63  thf(zip_derived_cl183, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         (~ (theorem @ (or @ (not @ X2) @ X0))
% 14.26/2.63          |  (theorem @ (or @ X1 @ (or @ (not @ (or @ X1 @ X2)) @ X0))))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl27])).
% 14.26/2.63  thf(zip_derived_cl2467, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63         ( (theorem @ (or @ (not @ (or @ X0 @ X1)) @ X0))
% 14.26/2.63          | ~ (theorem @ (or @ (not @ X1) @ X0)))),
% 14.26/2.63      inference('s_sup+', [status(thm)],
% 14.26/2.63                [zip_derived_cl2434, zip_derived_cl183])).
% 14.26/2.63  thf(zip_derived_cl2, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63          (axiom @ (or @ (not @ (or @ X0 @ X1)) @ (or @ X1 @ X0)))),
% 14.26/2.63      inference('cnf', [status(esa)], [axiom_1_4])).
% 14.26/2.63  thf(rule_3, axiom,
% 14.26/2.63    (( theorem @ ( or @ ( not @ X ) @ Z ) ) | 
% 14.26/2.63     ( ~( axiom @ ( or @ ( not @ X ) @ Y ) ) ) | 
% 14.26/2.63     ( ~( theorem @ ( or @ ( not @ Y ) @ Z ) ) ))).
% 14.26/2.63  thf(zip_derived_cl7, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         ( (theorem @ (or @ (not @ X0) @ X1))
% 14.26/2.63          | ~ (axiom @ (or @ (not @ X0) @ X2))
% 14.26/2.63          | ~ (theorem @ (or @ (not @ X2) @ X1)))),
% 14.26/2.63      inference('cnf', [status(esa)], [rule_3])).
% 14.26/2.63  thf(zip_derived_cl34, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         ( (theorem @ (or @ (not @ (or @ X0 @ X1)) @ X2))
% 14.26/2.63          | ~ (theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl7])).
% 14.26/2.63  thf(zip_derived_cl4824, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63         (~ (theorem @ (or @ (not @ X1) @ X0))
% 14.26/2.63          |  (theorem @ (or @ (not @ (or @ X1 @ X0)) @ X0)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl2467, zip_derived_cl34])).
% 14.26/2.63  thf(prove_this, conjecture,
% 14.26/2.63    (theorem @
% 14.26/2.63     ( or @
% 14.26/2.63       ( not @ ( or @ ( not @ p ) @ ( or @ ( not @ p ) @ q ) ) ) @ 
% 14.26/2.63       ( or @ ( not @ p ) @ q ) ))).
% 14.26/2.63  thf(zf_stmt_0, negated_conjecture,
% 14.26/2.63    (~( theorem @
% 14.26/2.63        ( or @
% 14.26/2.63          ( not @ ( or @ ( not @ p ) @ ( or @ ( not @ p ) @ q ) ) ) @ 
% 14.26/2.63          ( or @ ( not @ p ) @ q ) ) )),
% 14.26/2.63    inference('cnf.neg', [status(esa)], [prove_this])).
% 14.26/2.63  thf(zip_derived_cl8, plain,
% 14.26/2.63      (~ (theorem @ 
% 14.26/2.63          (or @ (not @ (or @ (not @ p) @ (or @ (not @ p) @ q))) @ 
% 14.26/2.63           (or @ (not @ p) @ q)))),
% 14.26/2.63      inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.26/2.63  thf(zip_derived_cl5292, plain,
% 14.26/2.63      (~ (theorem @ (or @ (not @ (not @ p)) @ (or @ (not @ p) @ q)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl4824, zip_derived_cl8])).
% 14.26/2.63  thf(zip_derived_cl1, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:  (axiom @ (or @ (not @ X0) @ (or @ X1 @ X0)))),
% 14.26/2.63      inference('cnf', [status(esa)], [axiom_1_3])).
% 14.26/2.63  thf(zip_derived_cl7, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         ( (theorem @ (or @ (not @ X0) @ X1))
% 14.26/2.63          | ~ (axiom @ (or @ (not @ X0) @ X2))
% 14.26/2.63          | ~ (theorem @ (or @ (not @ X2) @ X1)))),
% 14.26/2.63      inference('cnf', [status(esa)], [rule_3])).
% 14.26/2.63  thf(zip_derived_cl33, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         ( (theorem @ (or @ (not @ X0) @ X2))
% 14.26/2.63          | ~ (theorem @ (or @ (not @ (or @ X1 @ X0)) @ X2)))),
% 14.26/2.63      inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 14.26/2.63  thf(rule_1, axiom, (( theorem @ X ) | ( ~( axiom @ X ) ))).
% 14.26/2.63  thf(zip_derived_cl5, plain, (![X0 : $i]: ( (theorem @ X0) | ~ (axiom @ X0))),
% 14.26/2.63      inference('cnf', [status(esa)], [rule_1])).
% 14.26/2.63  thf(zip_derived_cl63, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i, X2 : $i]:
% 14.26/2.63         ( (theorem @ (or @ (not @ X1) @ X0))
% 14.26/2.63          | ~ (axiom @ (or @ (not @ (or @ X2 @ X1)) @ X0)))),
% 14.26/2.63      inference('s_sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl5])).
% 14.26/2.63  thf(zip_derived_cl2, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:
% 14.26/2.63          (axiom @ (or @ (not @ (or @ X0 @ X1)) @ (or @ X1 @ X0)))),
% 14.26/2.63      inference('cnf', [status(esa)], [axiom_1_4])).
% 14.26/2.63  thf(zip_derived_cl75, plain,
% 14.26/2.63      (![X0 : $i, X1 : $i]:  (theorem @ (or @ (not @ X1) @ (or @ X1 @ X0)))),
% 14.26/2.63      inference('s_sup+', [status(thm)], [zip_derived_cl63, zip_derived_cl2])).
% 14.26/2.63  thf(zip_derived_cl5299, plain, ($false),
% 14.26/2.63      inference('demod', [status(thm)], [zip_derived_cl5292, zip_derived_cl75])).
% 14.26/2.63  
% 14.26/2.63  % SZS output end Refutation
% 14.26/2.63  
% 14.26/2.63  
% 14.26/2.63  % Terminating...
% 14.26/2.70  % Runner terminated.
% 14.26/2.70  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------