TSTP Solution File: LCL080-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL080-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AtUxH1bOtK true
% Computer : n032.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 08:58:06 EDT 2023
% Result : Unsatisfiable 20.22s 3.38s
% Output : Refutation 20.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL080-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AtUxH1bOtK true
% 0.12/0.31 % Computer : n032.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Thu Aug 24 17:32:12 EDT 2023
% 0.12/0.31 % CPUTime :
% 0.12/0.31 % Running portfolio for 300 s
% 0.12/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.31 % Number of cores: 8
% 0.12/0.31 % Python version: Python 3.6.8
% 0.12/0.32 % Running in FO mode
% 0.16/0.53 % Total configuration time : 435
% 0.16/0.53 % Estimated wc time : 1092
% 0.16/0.53 % Estimated cpu time (7 cpus) : 156.0
% 0.16/0.56 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.16/0.56 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.16/0.57 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.16/0.58 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.16/0.60 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 20.22/3.38 % Solved by fo/fo13.sh.
% 20.22/3.38 % done 3254 iterations in 2.784s
% 20.22/3.38 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 20.22/3.38 % SZS output start Refutation
% 20.22/3.38 thf(c_type, type, c: $i).
% 20.22/3.38 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 20.22/3.38 thf(implies_type, type, implies: $i > $i > $i).
% 20.22/3.38 thf(b_type, type, b: $i).
% 20.22/3.38 thf(a_type, type, a: $i).
% 20.22/3.38 thf(e_type, type, e: $i).
% 20.22/3.38 thf(ic_2, axiom, (is_a_theorem @ ( implies @ X @ ( implies @ Y @ X ) ))).
% 20.22/3.38 thf(zip_derived_cl2, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i]:
% 20.22/3.38 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 20.22/3.38 inference('cnf', [status(esa)], [ic_2])).
% 20.22/3.38 thf(condensed_detachment, axiom,
% 20.22/3.38 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 20.22/3.38 ( is_a_theorem @ Y ))).
% 20.22/3.38 thf(zip_derived_cl0, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.22/3.38 | ~ (is_a_theorem @ X0)
% 20.22/3.38 | (is_a_theorem @ X1))),
% 20.22/3.38 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.22/3.38 thf(zip_derived_cl7, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ X0) | (is_a_theorem @ (implies @ X1 @ X0)))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl0])).
% 20.22/3.38 thf(ic_4, axiom,
% 20.22/3.38 (is_a_theorem @
% 20.22/3.38 ( implies @
% 20.22/3.38 ( implies @ X @ Y ) @
% 20.22/3.38 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 20.22/3.38 thf(zip_derived_cl4, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.22/3.38 (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ X0 @ X1) @
% 20.22/3.38 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 20.22/3.38 inference('cnf', [status(esa)], [ic_4])).
% 20.22/3.38 thf(zip_derived_cl4, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.22/3.38 (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ X0 @ X1) @
% 20.22/3.38 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 20.22/3.38 inference('cnf', [status(esa)], [ic_4])).
% 20.22/3.38 thf(zip_derived_cl0, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.22/3.38 | ~ (is_a_theorem @ X0)
% 20.22/3.38 | (is_a_theorem @ X1))),
% 20.22/3.38 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.22/3.38 thf(zip_derived_cl10, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 20.22/3.38 | (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 20.22/3.38 thf(zip_derived_cl35, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.22/3.38 (is_a_theorem @
% 20.22/3.38 (implies @
% 20.22/3.38 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 20.22/3.38 X3) @
% 20.22/3.38 (implies @ (implies @ X1 @ X2) @ X3)))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 20.22/3.38 thf(zip_derived_cl0, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.22/3.38 | ~ (is_a_theorem @ X0)
% 20.22/3.38 | (is_a_theorem @ X1))),
% 20.22/3.38 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.22/3.38 thf(zip_derived_cl123, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.22/3.38 (~ (is_a_theorem @
% 20.22/3.38 (implies @
% 20.22/3.38 (implies @ (implies @ X1 @ X3) @ (implies @ X2 @ X3)) @ X0))
% 20.22/3.38 | (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0)))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl0])).
% 20.22/3.38 thf(zip_derived_cl10, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 20.22/3.38 | (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 20.22/3.38 thf(zip_derived_cl734, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.22/3.38 ( (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ X1 @ X3) @
% 20.22/3.38 (implies @ X2 @ (implies @ X1 @ X0))))
% 20.22/3.38 | ~ (is_a_theorem @ (implies @ X2 @ (implies @ X3 @ X0))))),
% 20.22/3.38 inference('s_sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl10])).
% 20.22/3.38 thf(zip_derived_cl35, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 20.22/3.38 (is_a_theorem @
% 20.22/3.38 (implies @
% 20.22/3.38 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 20.22/3.38 X3) @
% 20.22/3.38 (implies @ (implies @ X1 @ X2) @ X3)))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl10])).
% 20.22/3.38 thf(ic_3, axiom,
% 20.22/3.38 (is_a_theorem @ ( implies @ ( implies @ ( implies @ X @ Y ) @ X ) @ X ))).
% 20.22/3.38 thf(zip_derived_cl3, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i]:
% 20.22/3.38 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0))),
% 20.22/3.38 inference('cnf', [status(esa)], [ic_3])).
% 20.22/3.38 thf(prove_ic_JLukasiewicz, conjecture,
% 20.22/3.38 (is_a_theorem @
% 20.22/3.38 ( implies @
% 20.22/3.38 ( implies @ ( implies @ a @ b ) @ c ) @
% 20.22/3.38 ( implies @ ( implies @ c @ a ) @ ( implies @ e @ a ) ) ))).
% 20.22/3.38 thf(zf_stmt_0, negated_conjecture,
% 20.22/3.38 (~( is_a_theorem @
% 20.22/3.38 ( implies @
% 20.22/3.38 ( implies @ ( implies @ a @ b ) @ c ) @
% 20.22/3.38 ( implies @ ( implies @ c @ a ) @ ( implies @ e @ a ) ) ) )),
% 20.22/3.38 inference('cnf.neg', [status(esa)], [prove_ic_JLukasiewicz])).
% 20.22/3.38 thf(zip_derived_cl5, plain,
% 20.22/3.38 (~ (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ c) @
% 20.22/3.38 (implies @ (implies @ c @ a) @ (implies @ e @ a))))),
% 20.22/3.38 inference('cnf', [status(esa)], [zf_stmt_0])).
% 20.22/3.38 thf(zip_derived_cl0, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.22/3.38 | ~ (is_a_theorem @ X0)
% 20.22/3.38 | (is_a_theorem @ X1))),
% 20.22/3.38 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.22/3.38 thf(zip_derived_cl9, plain,
% 20.22/3.38 (![X0 : $i]:
% 20.22/3.38 (~ (is_a_theorem @
% 20.22/3.38 (implies @ X0 @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ c) @
% 20.22/3.38 (implies @ (implies @ c @ a) @ (implies @ e @ a)))))
% 20.22/3.38 | ~ (is_a_theorem @ X0))),
% 20.22/3.38 inference('s_sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl0])).
% 20.22/3.38 thf(zip_derived_cl13, plain,
% 20.22/3.38 (![X0 : $i]:
% 20.22/3.38 ~ (is_a_theorem @
% 20.22/3.38 (implies @
% 20.22/3.38 (implies @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ c) @
% 20.22/3.38 (implies @ (implies @ c @ a) @ (implies @ e @ a))) @
% 20.22/3.38 X0) @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ c) @
% 20.22/3.38 (implies @ (implies @ c @ a) @ (implies @ e @ a)))))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 20.22/3.38 thf(zip_derived_cl10, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 20.22/3.38 | (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 20.22/3.38 thf(zip_derived_cl51, plain,
% 20.22/3.38 (~ (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ c) @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ c) @
% 20.22/3.38 (implies @ (implies @ c @ a) @ (implies @ e @ a)))))),
% 20.22/3.38 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl10])).
% 20.22/3.38 thf(zip_derived_cl0, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.22/3.38 | ~ (is_a_theorem @ X0)
% 20.22/3.38 | (is_a_theorem @ X1))),
% 20.22/3.38 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.22/3.38 thf(zip_derived_cl120, plain,
% 20.22/3.38 (![X0 : $i]:
% 20.22/3.38 (~ (is_a_theorem @
% 20.22/3.38 (implies @ X0 @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ c) @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ c) @
% 20.22/3.38 (implies @ (implies @ c @ a) @ (implies @ e @ a))))))
% 20.22/3.38 | ~ (is_a_theorem @ X0))),
% 20.22/3.38 inference('s_sup+', [status(thm)], [zip_derived_cl51, zip_derived_cl0])).
% 20.22/3.38 thf(zip_derived_cl701, plain,
% 20.22/3.38 (![X0 : $i]:
% 20.22/3.38 ~ (is_a_theorem @
% 20.22/3.38 (implies @
% 20.22/3.38 (implies @ (implies @ c @ X0) @ (implies @ (implies @ a @ b) @ X0)) @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ c) @
% 20.22/3.38 (implies @ (implies @ c @ a) @ (implies @ e @ a)))))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl120])).
% 20.22/3.38 thf(zip_derived_cl9235, plain,
% 20.22/3.38 (~ (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ c) @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ a) @ (implies @ e @ a))))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl734, zip_derived_cl701])).
% 20.22/3.38 thf(zip_derived_cl10943, plain,
% 20.22/3.38 (~ (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ (implies @ a @ b) @ a) @ (implies @ e @ a)))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9235])).
% 20.22/3.38 thf(zip_derived_cl2, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i]:
% 20.22/3.38 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 20.22/3.38 inference('cnf', [status(esa)], [ic_2])).
% 20.22/3.38 thf(zip_derived_cl3, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i]:
% 20.22/3.38 (is_a_theorem @ (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X0))),
% 20.22/3.38 inference('cnf', [status(esa)], [ic_3])).
% 20.22/3.38 thf(zip_derived_cl10, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 20.22/3.38 | (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 20.22/3.38 thf(zip_derived_cl34, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.22/3.38 (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ X0 @ X2) @
% 20.22/3.38 (implies @ (implies @ (implies @ X0 @ X1) @ X0) @ X2)))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl10])).
% 20.22/3.38 thf(zip_derived_cl0, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 20.22/3.38 | ~ (is_a_theorem @ X0)
% 20.22/3.38 | (is_a_theorem @ X1))),
% 20.22/3.38 inference('cnf', [status(esa)], [condensed_detachment])).
% 20.22/3.38 thf(zip_derived_cl106, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.22/3.38 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 20.22/3.38 | (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ (implies @ X1 @ X2) @ X1) @ X0)))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl0])).
% 20.22/3.38 thf(zip_derived_cl547, plain,
% 20.22/3.38 (![X0 : $i, X1 : $i, X2 : $i]:
% 20.22/3.38 (is_a_theorem @
% 20.22/3.38 (implies @ (implies @ (implies @ X0 @ X2) @ X0) @
% 20.22/3.38 (implies @ X1 @ X0)))),
% 20.22/3.38 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl106])).
% 20.22/3.38 thf(zip_derived_cl10950, plain, ($false),
% 20.22/3.38 inference('demod', [status(thm)],
% 20.22/3.38 [zip_derived_cl10943, zip_derived_cl547])).
% 20.22/3.38
% 20.22/3.38 % SZS output end Refutation
% 20.22/3.38
% 20.22/3.38
% 20.22/3.38 % Terminating...
% 20.34/3.42 % Runner terminated.
% 20.34/3.43 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------