TSTP Solution File: LCL011-1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.r59eYF531z 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 08:57:49 EDT 2023
% Result : Unsatisfiable 1.51s 0.86s
% Output : Refutation 1.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.r59eYF531z true
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Aug 25 02:23:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % 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
% 0.21/0.64 % Total configuration time : 435
% 0.21/0.64 % Estimated wc time : 1092
% 0.21/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.51/0.86 % Solved by fo/fo6_bce.sh.
% 1.51/0.86 % BCE start: 3
% 1.51/0.86 % BCE eliminated: 0
% 1.51/0.86 % PE start: 3
% 1.51/0.86 logic: neq
% 1.51/0.86 % PE eliminated: 0
% 1.51/0.86 % done 46 iterations in 0.135s
% 1.51/0.86 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.51/0.86 % SZS output start Refutation
% 1.51/0.86 thf(a_type, type, a: $i).
% 1.51/0.86 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 1.51/0.86 thf(equivalent_type, type, equivalent: $i > $i > $i).
% 1.51/0.86 thf(c_type, type, c: $i).
% 1.51/0.86 thf(b_type, type, b: $i).
% 1.51/0.86 thf(prove_yqf, conjecture,
% 1.51/0.86 (is_a_theorem @
% 1.51/0.86 ( equivalent @
% 1.51/0.86 ( equivalent @ a @ b ) @
% 1.51/0.86 ( equivalent @ ( equivalent @ a @ c ) @ ( equivalent @ c @ b ) ) ))).
% 1.51/0.86 thf(zf_stmt_0, negated_conjecture,
% 1.51/0.86 (~( is_a_theorem @
% 1.51/0.86 ( equivalent @
% 1.51/0.86 ( equivalent @ a @ b ) @
% 1.51/0.86 ( equivalent @ ( equivalent @ a @ c ) @ ( equivalent @ c @ b ) ) ) )),
% 1.51/0.86 inference('cnf.neg', [status(esa)], [prove_yqf])).
% 1.51/0.86 thf(zip_derived_cl2, plain,
% 1.51/0.86 (~ (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ a @ b) @
% 1.51/0.86 (equivalent @ (equivalent @ a @ c) @ (equivalent @ c @ b))))),
% 1.51/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.51/0.86 thf(yqj, axiom,
% 1.51/0.86 (is_a_theorem @
% 1.51/0.86 ( equivalent @
% 1.51/0.86 ( equivalent @ X @ Y ) @
% 1.51/0.86 ( equivalent @ ( equivalent @ Z @ X ) @ ( equivalent @ Y @ Z ) ) ))).
% 1.51/0.86 thf(zip_derived_cl1, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X1) @
% 1.51/0.86 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 1.51/0.86 inference('cnf', [status(esa)], [yqj])).
% 1.51/0.86 thf(zip_derived_cl1, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X1) @
% 1.51/0.86 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 1.51/0.86 inference('cnf', [status(esa)], [yqj])).
% 1.51/0.86 thf(zip_derived_cl1, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X1) @
% 1.51/0.86 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 1.51/0.86 inference('cnf', [status(esa)], [yqj])).
% 1.51/0.86 thf(condensed_detachment, axiom,
% 1.51/0.86 (( ~( is_a_theorem @ ( equivalent @ X @ Y ) ) ) |
% 1.51/0.86 ( ~( is_a_theorem @ X ) ) | ( is_a_theorem @ Y ))).
% 1.51/0.86 thf(zip_derived_cl0, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 1.51/0.86 | ~ (is_a_theorem @ X0)
% 1.51/0.86 | (is_a_theorem @ X1))),
% 1.51/0.86 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.51/0.86 thf(zip_derived_cl3, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 1.51/0.86 | (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.51/0.86 thf(zip_derived_cl1, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X1) @
% 1.51/0.86 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 1.51/0.86 inference('cnf', [status(esa)], [yqj])).
% 1.51/0.86 thf(zip_derived_cl3, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 1.51/0.86 | (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.51/0.86 thf(zip_derived_cl1, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X1) @
% 1.51/0.86 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 1.51/0.86 inference('cnf', [status(esa)], [yqj])).
% 1.51/0.86 thf(zip_derived_cl1, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X1) @
% 1.51/0.86 (equivalent @ (equivalent @ X2 @ X0) @ (equivalent @ X1 @ X2))))),
% 1.51/0.86 inference('cnf', [status(esa)], [yqj])).
% 1.51/0.86 thf(zip_derived_cl3, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 1.51/0.86 | (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.51/0.86 thf(zip_derived_cl0, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 1.51/0.86 | ~ (is_a_theorem @ X0)
% 1.51/0.86 | (is_a_theorem @ X1))),
% 1.51/0.86 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.51/0.86 thf(zip_derived_cl4, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 1.51/0.86 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 1.51/0.86 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.51/0.86 thf(zip_derived_cl5, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X3 @ (equivalent @ X2 @ X1)))
% 1.51/0.86 | (is_a_theorem @
% 1.51/0.86 (equivalent @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0)) @
% 1.51/0.86 X3)))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 1.51/0.86 thf(zip_derived_cl0, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X0 @ X1))
% 1.51/0.86 | ~ (is_a_theorem @ X0)
% 1.51/0.86 | (is_a_theorem @ X1))),
% 1.51/0.86 inference('cnf', [status(esa)], [condensed_detachment])).
% 1.51/0.86 thf(zip_derived_cl13, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X3 @ X2)))
% 1.51/0.86 | ~ (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X1)))
% 1.51/0.86 | (is_a_theorem @ X0))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 1.51/0.86 thf(zip_derived_cl44, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.51/0.86 (~ (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X3 @ (equivalent @ X0 @ X2)) @
% 1.51/0.86 (equivalent @ (equivalent @ X1 @ X0) @ X3)))
% 1.51/0.86 | (is_a_theorem @ (equivalent @ X2 @ X1)))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl13])).
% 1.51/0.86 thf(zip_derived_cl60, plain,
% 1.51/0.86 (![X1 : $i, X2 : $i, X3 : $i]:
% 1.51/0.86 (~ (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X1)))
% 1.51/0.86 | (is_a_theorem @ (equivalent @ X3 @ X2)))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl44])).
% 1.51/0.86 thf(zip_derived_cl72, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i]:
% 1.51/0.86 (is_a_theorem @
% 1.51/0.86 (equivalent @ X1 @ (equivalent @ X0 @ (equivalent @ X1 @ X0))))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl60])).
% 1.51/0.86 thf(zip_derived_cl13, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X3 @ X2)))
% 1.51/0.86 | ~ (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X1)))
% 1.51/0.86 | (is_a_theorem @ X0))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 1.51/0.86 thf(zip_derived_cl81, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (~ (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X2 @ X0) @
% 1.51/0.86 (equivalent @ (equivalent @ X1 @ X0) @ X2)))
% 1.51/0.86 | (is_a_theorem @ X1))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl72, zip_derived_cl13])).
% 1.51/0.86 thf(zip_derived_cl129, plain,
% 1.51/0.86 (![X1 : $i, X2 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X1 @ (equivalent @ X2 @ X1)))
% 1.51/0.86 | (is_a_theorem @ X2))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl81])).
% 1.51/0.86 thf(zip_derived_cl135, plain,
% 1.51/0.86 (![X0 : $i]: (is_a_theorem @ (equivalent @ X0 @ X0))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl129])).
% 1.51/0.86 thf(zip_derived_cl3, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 1.51/0.86 | (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0))))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 1.51/0.86 thf(zip_derived_cl5, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X3 @ (equivalent @ X2 @ X1)))
% 1.51/0.86 | (is_a_theorem @
% 1.51/0.86 (equivalent @
% 1.51/0.86 (equivalent @ (equivalent @ X0 @ X2) @ (equivalent @ X1 @ X0)) @
% 1.51/0.86 X3)))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 1.51/0.86 thf(zip_derived_cl4, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 1.51/0.86 | ~ (is_a_theorem @ (equivalent @ X0 @ X2))
% 1.51/0.86 | (is_a_theorem @ (equivalent @ X1 @ X0)))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.51/0.86 thf(zip_derived_cl14, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X0 @ (equivalent @ X3 @ X2)))
% 1.51/0.86 | ~ (is_a_theorem @
% 1.51/0.86 (equivalent @ X4 @
% 1.51/0.86 (equivalent @ (equivalent @ X1 @ X3) @ (equivalent @ X2 @ X1))))
% 1.51/0.86 | (is_a_theorem @ (equivalent @ X0 @ X4)))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl4])).
% 1.51/0.86 thf(zip_derived_cl24, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.51/0.86 (~ (is_a_theorem @ (equivalent @ X2 @ X1))
% 1.51/0.86 | ~ (is_a_theorem @
% 1.51/0.86 (equivalent @ X4 @
% 1.51/0.86 (equivalent @ (equivalent @ X3 @ X1) @ (equivalent @ X0 @ X3))))
% 1.51/0.86 | (is_a_theorem @ (equivalent @ (equivalent @ X0 @ X2) @ X4)))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
% 1.51/0.86 thf(zip_derived_cl141, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.51/0.86 (~ (is_a_theorem @
% 1.51/0.86 (equivalent @ X3 @
% 1.51/0.86 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X1))))
% 1.51/0.86 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X0) @ X3)))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl24])).
% 1.51/0.86 thf(zip_derived_cl195, plain,
% 1.51/0.86 (![X1 : $i, X2 : $i]:
% 1.51/0.86 (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X1 @ X2) @ (equivalent @ X2 @ X1)))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl141])).
% 1.51/0.86 thf(zip_derived_cl141, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.51/0.86 (~ (is_a_theorem @
% 1.51/0.86 (equivalent @ X3 @
% 1.51/0.86 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X2 @ X1))))
% 1.51/0.86 | (is_a_theorem @ (equivalent @ (equivalent @ X2 @ X0) @ X3)))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl24])).
% 1.51/0.86 thf(zip_derived_cl272, plain,
% 1.51/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.51/0.86 (is_a_theorem @
% 1.51/0.86 (equivalent @ (equivalent @ X1 @ X2) @
% 1.51/0.86 (equivalent @ (equivalent @ X1 @ X0) @ (equivalent @ X0 @ X2))))),
% 1.51/0.86 inference('s_sup-', [status(thm)], [zip_derived_cl195, zip_derived_cl141])).
% 1.51/0.86 thf(zip_derived_cl276, plain, ($false),
% 1.51/0.86 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl272])).
% 1.51/0.86
% 1.51/0.86 % SZS output end Refutation
% 1.51/0.86
% 1.51/0.86
% 1.51/0.86 % Terminating...
% 1.52/0.95 % Runner terminated.
% 1.52/0.96 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------