TSTP Solution File: LCL036-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL036-1 : 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.7BgAPoPRuE true
% Computer : n012.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 08:57:55 EDT 2023
% Result : Unsatisfiable 9.50s 2.11s
% Output : Refutation 9.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : LCL036-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.7BgAPoPRuE true
% 0.15/0.35 % Computer : n012.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 : Fri Aug 25 05:20:41 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 9.50/2.11 % Solved by fo/fo6_bce.sh.
% 9.50/2.11 % BCE start: 3
% 9.50/2.11 % BCE eliminated: 0
% 9.50/2.11 % PE start: 3
% 9.50/2.11 logic: neq
% 9.50/2.11 % PE eliminated: 0
% 9.50/2.11 % done 1035 iterations in 1.358s
% 9.50/2.11 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 9.50/2.11 % SZS output start Refutation
% 9.50/2.11 thf(a_type, type, a: $i).
% 9.50/2.11 thf(falsehood_type, type, falsehood: $i).
% 9.50/2.11 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 9.50/2.11 thf(implies_type, type, implies: $i > $i > $i).
% 9.50/2.11 thf(prove_c0_5, conjecture,
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 ( implies @ ( implies @ ( implies @ a @ falsehood ) @ falsehood ) @ a ))).
% 9.50/2.11 thf(zf_stmt_0, negated_conjecture,
% 9.50/2.11 (~( is_a_theorem @
% 9.50/2.11 ( implies @ ( implies @ ( implies @ a @ falsehood ) @ falsehood ) @ a ) )),
% 9.50/2.11 inference('cnf.neg', [status(esa)], [prove_c0_5])).
% 9.50/2.11 thf(zip_derived_cl2, plain,
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ (implies @ a @ falsehood) @ falsehood) @ a))),
% 9.50/2.11 inference('cnf', [status(esa)], [zf_stmt_0])).
% 9.50/2.11 thf(c0_CAMerideth, axiom,
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 ( implies @
% 9.50/2.11 ( implies @
% 9.50/2.11 ( implies @
% 9.50/2.11 ( implies @ ( implies @ X @ Y ) @ ( implies @ Z @ falsehood ) ) @ U ) @
% 9.50/2.11 V ) @
% 9.50/2.11 ( implies @ ( implies @ V @ X ) @ ( implies @ Z @ X ) ) ))).
% 9.50/2.11 thf(zip_derived_cl1, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ falsehood)) @ X3) @
% 9.50/2.11 X4) @
% 9.50/2.11 (implies @ (implies @ X4 @ X0) @ (implies @ X2 @ X0))))),
% 9.50/2.11 inference('cnf', [status(esa)], [c0_CAMerideth])).
% 9.50/2.11 thf(zip_derived_cl1, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ falsehood)) @ X3) @
% 9.50/2.11 X4) @
% 9.50/2.11 (implies @ (implies @ X4 @ X0) @ (implies @ X2 @ X0))))),
% 9.50/2.11 inference('cnf', [status(esa)], [c0_CAMerideth])).
% 9.50/2.11 thf(condensed_detachment, axiom,
% 9.50/2.11 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 9.50/2.11 ( is_a_theorem @ Y ))).
% 9.50/2.11 thf(zip_derived_cl0, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 9.50/2.11 | ~ (is_a_theorem @ X0)
% 9.50/2.11 | (is_a_theorem @ X1))),
% 9.50/2.11 inference('cnf', [status(esa)], [condensed_detachment])).
% 9.50/2.11 thf(zip_derived_cl3, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X3) @
% 9.50/2.11 X2))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl4, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 9.50/2.11 (implies @ X0 @ X4)) @
% 9.50/2.11 (implies @ X3 @ (implies @ X0 @ X4))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl4, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 9.50/2.11 (implies @ X0 @ X4)) @
% 9.50/2.11 (implies @ X3 @ (implies @ X0 @ X4))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl3, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X3) @
% 9.50/2.11 X2))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl6, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X1 @ (implies @ falsehood @ X0)) @ X3) @
% 9.50/2.11 (implies @ X2 @ X3)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl3, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X3) @
% 9.50/2.11 X2))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl8, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X3 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 9.50/2.11 (implies @ falsehood @ X3)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl3, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X3) @
% 9.50/2.11 X2))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl21, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X3 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ (implies @ falsehood @ X0) @ X3) @
% 9.50/2.11 (implies @ X1 @ X3)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl4, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 9.50/2.11 (implies @ X0 @ X4)) @
% 9.50/2.11 (implies @ X3 @ (implies @ X0 @ X4))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl0, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 9.50/2.11 | ~ (is_a_theorem @ X0)
% 9.50/2.11 | (is_a_theorem @ X1))),
% 9.50/2.11 inference('cnf', [status(esa)], [condensed_detachment])).
% 9.50/2.11 thf(zip_derived_cl5, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X4 @ X1) @ (implies @ X3 @ X1)) @
% 9.50/2.11 (implies @ X1 @ X0)))
% 9.50/2.11 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl39, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.50/2.11 (is_a_theorem @ (implies @ X2 @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl5])).
% 9.50/2.11 thf(zip_derived_cl0, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 9.50/2.11 | ~ (is_a_theorem @ X0)
% 9.50/2.11 | (is_a_theorem @ X1))),
% 9.50/2.11 inference('cnf', [status(esa)], [condensed_detachment])).
% 9.50/2.11 thf(zip_derived_cl103, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ X2)
% 9.50/2.11 | (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl1, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X1) @ (implies @ X2 @ falsehood)) @ X3) @
% 9.50/2.11 X4) @
% 9.50/2.11 (implies @ (implies @ X4 @ X0) @ (implies @ X2 @ X0))))),
% 9.50/2.11 inference('cnf', [status(esa)], [c0_CAMerideth])).
% 9.50/2.11 thf(zip_derived_cl6, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X1 @ (implies @ falsehood @ X0)) @ X3) @
% 9.50/2.11 (implies @ X2 @ X3)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl0, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 9.50/2.11 | ~ (is_a_theorem @ X0)
% 9.50/2.11 | (is_a_theorem @ X1))),
% 9.50/2.11 inference('cnf', [status(esa)], [condensed_detachment])).
% 9.50/2.11 thf(zip_derived_cl7, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X3 @ (implies @ falsehood @ X2)) @ X0))
% 9.50/2.11 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl9, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @ X5 @
% 9.50/2.11 (implies @ (implies @ (implies @ falsehood @ X2) @ X0) @
% 9.50/2.11 (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 9.50/2.11 thf(zip_derived_cl127, plain,
% 9.50/2.11 (![X4 : $i, X5 : $i]:
% 9.50/2.11 (is_a_theorem @ (implies @ X4 @ (implies @ X5 @ X4)))),
% 9.50/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl9])).
% 9.50/2.11 thf(zip_derived_cl3, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X3) @
% 9.50/2.11 X2))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl160, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ X4 @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X0)) @
% 9.50/2.11 X3) @
% 9.50/2.11 (implies @ X1 @ X3)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl127, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl3, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X3) @
% 9.50/2.11 X2))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl355, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X4 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ (implies @ X1 @ X0) @ X4) @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ falsehood)) @ X4)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl160, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl0, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 9.50/2.11 | ~ (is_a_theorem @ X0)
% 9.50/2.11 | (is_a_theorem @ X1))),
% 9.50/2.11 inference('cnf', [status(esa)], [condensed_detachment])).
% 9.50/2.11 thf(zip_derived_cl1217, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl355, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl3, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X3) @
% 9.50/2.11 X2))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl1251, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X1 @ (implies @ X4 @ X3)) @ X0))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X0 @ X4) @ (implies @ X2 @ X4))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1217, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl1298, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X1) @
% 9.50/2.11 (implies @ X5 @ X1)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1251])).
% 9.50/2.11 thf(zip_derived_cl3, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X0 @ X4) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X3) @
% 9.50/2.11 X2))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl1487, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X3 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 9.50/2.11 (implies @ X0 @ X3)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1298, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl1217, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl355, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl1298, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @ X1) @
% 9.50/2.11 (implies @ X5 @ X1)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1251])).
% 9.50/2.11 thf(zip_derived_cl0, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 9.50/2.11 | ~ (is_a_theorem @ X0)
% 9.50/2.11 | (is_a_theorem @ X1))),
% 9.50/2.11 inference('cnf', [status(esa)], [condensed_detachment])).
% 9.50/2.11 thf(zip_derived_cl1483, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X3 @ (implies @ X0 @ X2)) @ X0))
% 9.50/2.11 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1298, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl2324, plain,
% 9.50/2.11 (![X0 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X0 @ X2) @ X0))
% 9.50/2.11 | (is_a_theorem @ (implies @ X3 @ X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)],
% 9.50/2.11 [zip_derived_cl1217, zip_derived_cl1483])).
% 9.50/2.11 thf(zip_derived_cl2377, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)],
% 9.50/2.11 [zip_derived_cl1487, zip_derived_cl2324])).
% 9.50/2.11 thf(zip_derived_cl0, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 9.50/2.11 | ~ (is_a_theorem @ X0)
% 9.50/2.11 | (is_a_theorem @ X1))),
% 9.50/2.11 inference('cnf', [status(esa)], [condensed_detachment])).
% 9.50/2.11 thf(zip_derived_cl2539, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl2377, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl9, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X5 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @ X5 @
% 9.50/2.11 (implies @ (implies @ (implies @ falsehood @ X2) @ X0) @
% 9.50/2.11 (implies @ X1 @ X0))))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl7])).
% 9.50/2.11 thf(zip_derived_cl2728, plain,
% 9.50/2.11 (![X4 : $i]: (is_a_theorem @ (implies @ X4 @ X4))),
% 9.50/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl2539, zip_derived_cl9])).
% 9.50/2.11 thf(zip_derived_cl1217, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl355, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl1217, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl355, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl1217, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl355, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl1487, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X3 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 9.50/2.11 (implies @ X0 @ X3)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1298, zip_derived_cl3])).
% 9.50/2.11 thf(zip_derived_cl0, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 9.50/2.11 | ~ (is_a_theorem @ X0)
% 9.50/2.11 | (is_a_theorem @ X1))),
% 9.50/2.11 inference('cnf', [status(esa)], [condensed_detachment])).
% 9.50/2.11 thf(zip_derived_cl1506, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 9.50/2.11 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1487, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl1558, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 9.50/2.11 | (is_a_theorem @ (implies @ (implies @ X1 @ falsehood) @ X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)],
% 9.50/2.11 [zip_derived_cl1217, zip_derived_cl1506])).
% 9.50/2.11 thf(zip_derived_cl1608, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ (implies @ X3 @ X2) @ falsehood) @ X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)],
% 9.50/2.11 [zip_derived_cl1217, zip_derived_cl1558])).
% 9.50/2.11 thf(zip_derived_cl1658, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X3 : $i, X4 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ (implies @ X1 @ falsehood) @ X4) @
% 9.50/2.11 falsehood) @
% 9.50/2.11 X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)],
% 9.50/2.11 [zip_derived_cl1217, zip_derived_cl1608])).
% 9.50/2.11 thf(zip_derived_cl2954, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ (implies @ X1 @ falsehood) @ X2) @ falsehood) @
% 9.50/2.11 (implies @ X1 @ X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)],
% 9.50/2.11 [zip_derived_cl2728, zip_derived_cl1658])).
% 9.50/2.11 thf(zip_derived_cl2728, plain,
% 9.50/2.11 (![X4 : $i]: (is_a_theorem @ (implies @ X4 @ X4))),
% 9.50/2.11 inference('s_sup+', [status(thm)], [zip_derived_cl2539, zip_derived_cl9])).
% 9.50/2.11 thf(zip_derived_cl1217, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 9.50/2.11 | (is_a_theorem @
% 9.50/2.11 (implies @
% 9.50/2.11 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ falsehood)) @
% 9.50/2.11 X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl355, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl0, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 9.50/2.11 | ~ (is_a_theorem @ X0)
% 9.50/2.11 | (is_a_theorem @ X1))),
% 9.50/2.11 inference('cnf', [status(esa)], [condensed_detachment])).
% 9.50/2.11 thf(zip_derived_cl1238, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 9.50/2.11 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X3) @ X0))
% 9.50/2.11 | ~ (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X3 @ X2) @ (implies @ X1 @ falsehood)))
% 9.50/2.11 | (is_a_theorem @ X0))),
% 9.50/2.11 inference('s_sup-', [status(thm)], [zip_derived_cl1217, zip_derived_cl0])).
% 9.50/2.11 thf(zip_derived_cl2950, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ falsehood)))
% 9.50/2.11 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)],
% 9.50/2.11 [zip_derived_cl2728, zip_derived_cl1238])).
% 9.50/2.11 thf(zip_derived_cl4367, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @ X0 @ (implies @ (implies @ X0 @ falsehood) @ X1)))),
% 9.50/2.11 inference('s_sup-', [status(thm)],
% 9.50/2.11 [zip_derived_cl2954, zip_derived_cl2950])).
% 9.50/2.11 thf(zip_derived_cl2950, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i, X2 : $i]:
% 9.50/2.11 (~ (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ X0 @ X2) @ (implies @ X1 @ falsehood)))
% 9.50/2.11 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 9.50/2.11 inference('s_sup-', [status(thm)],
% 9.50/2.11 [zip_derived_cl2728, zip_derived_cl1238])).
% 9.50/2.11 thf(zip_derived_cl4412, plain,
% 9.50/2.11 (![X0 : $i, X1 : $i]:
% 9.50/2.11 (is_a_theorem @
% 9.50/2.11 (implies @ (implies @ (implies @ X1 @ X0) @ falsehood) @ X1))),
% 9.50/2.11 inference('s_sup-', [status(thm)],
% 9.50/2.11 [zip_derived_cl4367, zip_derived_cl2950])).
% 9.50/2.11 thf(zip_derived_cl4449, plain, ($false),
% 9.50/2.11 inference('demod', [status(thm)], [zip_derived_cl2, zip_derived_cl4412])).
% 9.50/2.11
% 9.50/2.11 % SZS output end Refutation
% 9.50/2.11
% 9.50/2.11
% 9.50/2.11 % Terminating...
% 9.50/2.19 % Runner terminated.
% 9.50/2.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------