%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL070-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P6ECOrveeU true
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 01:35:07 PM UTC 2026
% Result : Unsatisfiable 8.45s 2.16s
% Output : Refutation 8.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL070-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.P6ECOrveeU true
% 0.11/0.36 % Computer : n016.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sat Sep 5 23:39:00 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Running portfolio for 300 s
% 0.11/0.37 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Number of cores: 8
% 0.11/0.37 % Python version: Python 3.12.3
% 0.11/0.38 % Running in FO mode
% 0.33/0.80 % Total configuration time : 435
% 0.33/0.80 % Estimated wc time : 1092
% 0.33/0.80 % Estimated cpu time (7 cpus) : 156.0
% 0.33/0.89 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.34/0.97 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.34/1.02 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.34/1.03 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.34/1.03 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.34/1.04 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.34/1.06 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 8.45/2.16 % Solved by fo/fo6_bce.sh.
% 8.45/2.16 % BCE start: 5
% 8.45/2.16 % BCE eliminated: 0
% 8.45/2.16 % PE start: 5
% 8.45/2.16 logic: neq
% 8.45/2.16 % PE eliminated: 0
% 8.45/2.16 % done 351 iterations in 1.230s
% 8.45/2.16 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.45/2.16 % SZS output start Refutation
% 8.45/2.16 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 8.45/2.16 thf(implies_type, type, implies: $i > $i > $i).
% 8.45/2.16 thf(b_type, type, b: $i).
% 8.45/2.16 thf(not_type, type, not: $i > $i).
% 8.45/2.16 thf(a_type, type, a: $i).
% 8.45/2.16 thf(c_type, type, c: $i).
% 8.45/2.16 thf(cn_19, axiom,
% 8.45/2.16 (is_a_theorem @
% 8.45/2.16 ( implies @ ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ Y @ Z ) ))).
% 8.45/2.16 thf(zip_derived_cl1, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.16 (is_a_theorem @
% 8.45/2.16 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 8.45/2.16 (implies @ X1 @ X2)))),
% 8.45/2.16 inference('cnf', [status(esa)], [cn_19])).
% 8.45/2.16 thf(zip_derived_cl1, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.16 (is_a_theorem @
% 8.45/2.16 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 8.45/2.16 (implies @ X1 @ X2)))),
% 8.45/2.16 inference('cnf', [status(esa)], [cn_19])).
% 8.45/2.16 thf(condensed_detachment, axiom,
% 8.45/2.16 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 8.45/2.16 ( is_a_theorem @ Y ))).
% 8.45/2.16 thf(zip_derived_cl0, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i]:
% 8.45/2.16 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 8.45/2.16 | ~ (is_a_theorem @ X0)
% 8.45/2.16 | (is_a_theorem @ X1))),
% 8.45/2.16 inference('cnf', [status(esa)], [condensed_detachment])).
% 8.45/2.16 thf(zip_derived_cl5, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.16 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 8.45/2.16 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.45/2.16 thf(zip_derived_cl7, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i]:
% 8.45/2.16 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 8.45/2.16 thf(cn_37, axiom,
% 8.45/2.16 (is_a_theorem @
% 8.45/2.16 ( implies @
% 8.45/2.16 ( implies @ ( implies @ X @ Y ) @ Z ) @ ( implies @ ( not @ X ) @ Z ) ))).
% 8.45/2.16 thf(zip_derived_cl2, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.16 (is_a_theorem @
% 8.45/2.16 (implies @ (implies @ (implies @ X0 @ X1) @ X2) @
% 8.45/2.16 (implies @ (not @ X0) @ X2)))),
% 8.45/2.16 inference('cnf', [status(esa)], [cn_37])).
% 8.45/2.16 thf(cn_60, axiom,
% 8.45/2.16 (is_a_theorem @
% 8.45/2.16 ( implies @
% 8.45/2.16 ( implies @ X @ ( implies @ ( not @ Y ) @ Z ) ) @
% 8.45/2.16 ( implies @
% 8.45/2.16 X @
% 8.45/2.16 ( implies @
% 8.45/2.16 ( implies @ U @ Z ) @ ( implies @ ( implies @ Y @ U ) @ Z ) ) ) ))).
% 8.45/2.16 thf(zip_derived_cl3, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.16 (is_a_theorem @
% 8.45/2.16 (implies @ (implies @ X0 @ (implies @ (not @ X1) @ X2)) @
% 8.45/2.16 (implies @ X0 @
% 8.45/2.16 (implies @ (implies @ X3 @ X2) @
% 8.45/2.16 (implies @ (implies @ X1 @ X3) @ X2)))))),
% 8.45/2.16 inference('cnf', [status(esa)], [cn_60])).
% 8.45/2.16 thf(zip_derived_cl0, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i]:
% 8.45/2.16 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 8.45/2.16 | ~ (is_a_theorem @ X0)
% 8.45/2.16 | (is_a_theorem @ X1))),
% 8.45/2.16 inference('cnf', [status(esa)], [condensed_detachment])).
% 8.45/2.16 thf(zip_derived_cl15, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.16 (~ (is_a_theorem @ (implies @ X3 @ (implies @ (not @ X2) @ X0)))
% 8.45/2.16 | (is_a_theorem @
% 8.45/2.16 (implies @ X3 @
% 8.45/2.16 (implies @ (implies @ X1 @ X0) @
% 8.45/2.16 (implies @ (implies @ X2 @ X1) @ X0)))))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 8.45/2.16 thf(zip_derived_cl0, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i]:
% 8.45/2.16 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 8.45/2.16 | ~ (is_a_theorem @ X0)
% 8.45/2.16 | (is_a_theorem @ X1))),
% 8.45/2.16 inference('cnf', [status(esa)], [condensed_detachment])).
% 8.45/2.16 thf(zip_derived_cl32, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.16 (~ (is_a_theorem @ (implies @ X3 @ (implies @ (not @ X2) @ X0)))
% 8.45/2.16 | ~ (is_a_theorem @ X3)
% 8.45/2.16 | (is_a_theorem @
% 8.45/2.16 (implies @ (implies @ X1 @ X0) @
% 8.45/2.16 (implies @ (implies @ X2 @ X1) @ X0))))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl0])).
% 8.45/2.16 thf(zip_derived_cl88, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.16 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0))
% 8.45/2.16 | (is_a_theorem @
% 8.45/2.16 (implies @ (implies @ X3 @ X0) @
% 8.45/2.16 (implies @ (implies @ X1 @ X3) @ X0))))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl32])).
% 8.45/2.16 thf(zip_derived_cl97, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.16 (is_a_theorem @
% 8.45/2.16 (implies @ (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))) @
% 8.45/2.16 (implies @ (implies @ X1 @ X3) @
% 8.45/2.16 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl88])).
% 8.45/2.16 thf(zip_derived_cl0, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i]:
% 8.45/2.16 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 8.45/2.16 | ~ (is_a_theorem @ X0)
% 8.45/2.16 | (is_a_theorem @ X1))),
% 8.45/2.16 inference('cnf', [status(esa)], [condensed_detachment])).
% 8.45/2.16 thf(zip_derived_cl201, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.16 (~ (is_a_theorem @
% 8.45/2.16 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 8.45/2.16 | (is_a_theorem @
% 8.45/2.16 (implies @ (implies @ X1 @ X3) @
% 8.45/2.16 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 8.45/2.16 thf(prove_cn_1, conjecture,
% 8.45/2.16 (is_a_theorem @
% 8.45/2.16 ( implies @
% 8.45/2.16 ( implies @ a @ b ) @
% 8.45/2.16 ( implies @ ( implies @ b @ c ) @ ( implies @ a @ c ) ) ))).
% 8.45/2.16 thf(zf_stmt_0, negated_conjecture,
% 8.45/2.16 (~( is_a_theorem @
% 8.45/2.16 ( implies @
% 8.45/2.16 ( implies @ a @ b ) @
% 8.45/2.16 ( implies @ ( implies @ b @ c ) @ ( implies @ a @ c ) ) ) )),
% 8.45/2.16 inference('cnf.neg', [status(esa)], [prove_cn_1])).
% 8.45/2.16 thf(zip_derived_cl4, plain,
% 8.45/2.16 (~ (is_a_theorem @
% 8.45/2.16 (implies @ (implies @ a @ b) @
% 8.45/2.16 (implies @ (implies @ b @ c) @ (implies @ a @ c))))),
% 8.45/2.16 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.45/2.16 thf(zip_derived_cl221, plain,
% 8.45/2.16 (~ (is_a_theorem @
% 8.45/2.16 (implies @ b @ (implies @ (implies @ b @ c) @ (implies @ a @ c))))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl4])).
% 8.45/2.16 thf(zip_derived_cl7, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i]:
% 8.45/2.16 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 8.45/2.16 thf(zip_derived_cl5, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.16 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 8.45/2.16 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.45/2.16 thf(zip_derived_cl10, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.16 (is_a_theorem @ (implies @ X0 @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl5])).
% 8.45/2.16 thf(zip_derived_cl5, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.16 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 8.45/2.16 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 8.45/2.16 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.45/2.16 thf(zip_derived_cl19, plain,
% 8.45/2.16 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.16 (is_a_theorem @
% 8.45/2.16 (implies @ X0 @
% 8.45/2.16 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
% 8.45/2.17 thf(zip_derived_cl5, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.17 (~ (is_a_theorem @ (implies @ (implies @ X2 @ X1) @ X0))
% 8.45/2.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 8.45/2.17 thf(zip_derived_cl45, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 8.45/2.17 (is_a_theorem @
% 8.45/2.17 (implies @ X0 @
% 8.45/2.17 (implies @ X4 @
% 8.45/2.17 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl5])).
% 8.45/2.17 thf(zip_derived_cl201, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.17 (~ (is_a_theorem @
% 8.45/2.17 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 8.45/2.17 | (is_a_theorem @
% 8.45/2.17 (implies @ (implies @ X1 @ X3) @
% 8.45/2.17 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 8.45/2.17 thf(zip_derived_cl7, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i]:
% 8.45/2.17 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 8.45/2.17 thf(zip_derived_cl7, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i]:
% 8.45/2.17 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 8.45/2.17 thf(zip_derived_cl201, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.17 (~ (is_a_theorem @
% 8.45/2.17 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 8.45/2.17 | (is_a_theorem @
% 8.45/2.17 (implies @ (implies @ X1 @ X3) @
% 8.45/2.17 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 8.45/2.17 thf(zip_derived_cl0, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i]:
% 8.45/2.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 8.45/2.17 | ~ (is_a_theorem @ X0)
% 8.45/2.17 | (is_a_theorem @ X1))),
% 8.45/2.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 8.45/2.17 thf(zip_derived_cl215, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.17 (~ (is_a_theorem @
% 8.45/2.17 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 8.45/2.17 | ~ (is_a_theorem @ (implies @ X1 @ X3))
% 8.45/2.17 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl0])).
% 8.45/2.17 thf(zip_derived_cl237, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.17 (~ (is_a_theorem @
% 8.45/2.17 (implies @ (implies @ X1 @ X0) @
% 8.45/2.17 (implies @ X3 @ (implies @ X0 @ X2))))
% 8.45/2.17 | (is_a_theorem @ (implies @ X3 @ (implies @ X0 @ X2))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl215])).
% 8.45/2.17 thf(zip_derived_cl275, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i]:
% 8.45/2.17 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl237])).
% 8.45/2.17 thf(zip_derived_cl0, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i]:
% 8.45/2.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 8.45/2.17 | ~ (is_a_theorem @ X0)
% 8.45/2.17 | (is_a_theorem @ X1))),
% 8.45/2.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 8.45/2.17 thf(zip_derived_cl292, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i]:
% 8.45/2.17 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ X0 @ X0)))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl275, zip_derived_cl0])).
% 8.45/2.17 thf(zip_derived_cl7, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i]:
% 8.45/2.17 (is_a_theorem @ (implies @ X0 @ (implies @ X1 @ X0)))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl5])).
% 8.45/2.17 thf(zip_derived_cl323, plain,
% 8.45/2.17 (![X2 : $i]: (is_a_theorem @ (implies @ X2 @ X2))),
% 8.45/2.17 inference('s_sup+', [status(thm)], [zip_derived_cl292, zip_derived_cl7])).
% 8.45/2.17 thf(zip_derived_cl88, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.17 (~ (is_a_theorem @ (implies @ (implies @ X1 @ X2) @ X0))
% 8.45/2.17 | (is_a_theorem @
% 8.45/2.17 (implies @ (implies @ X3 @ X0) @
% 8.45/2.17 (implies @ (implies @ X1 @ X3) @ X0))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl32])).
% 8.45/2.17 thf(zip_derived_cl421, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.17 (is_a_theorem @
% 8.45/2.17 (implies @ (implies @ X2 @ (implies @ X1 @ X0)) @
% 8.45/2.17 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl323, zip_derived_cl88])).
% 8.45/2.17 thf(zip_derived_cl275, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i]:
% 8.45/2.17 (is_a_theorem @ (implies @ X1 @ (implies @ X0 @ X0)))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl237])).
% 8.45/2.17 thf(zip_derived_cl215, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.17 (~ (is_a_theorem @
% 8.45/2.17 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 8.45/2.17 | ~ (is_a_theorem @ (implies @ X1 @ X3))
% 8.45/2.17 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl0])).
% 8.45/2.17 thf(zip_derived_cl293, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.17 (~ (is_a_theorem @
% 8.45/2.17 (implies @ (implies @ X0 @ X0) @
% 8.45/2.17 (implies @ X3 @ (implies @ X1 @ X2))))
% 8.45/2.17 | (is_a_theorem @ (implies @ X3 @ (implies @ X1 @ X2))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl275, zip_derived_cl215])).
% 8.45/2.17 thf(zip_derived_cl652, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i]:
% 8.45/2.17 (is_a_theorem @
% 8.45/2.17 (implies @ (implies @ X1 @ (implies @ X1 @ X0)) @
% 8.45/2.17 (implies @ X1 @ X0)))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl421, zip_derived_cl293])).
% 8.45/2.17 thf(zip_derived_cl0, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i]:
% 8.45/2.17 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 8.45/2.17 | ~ (is_a_theorem @ X0)
% 8.45/2.17 | (is_a_theorem @ X1))),
% 8.45/2.17 inference('cnf', [status(esa)], [condensed_detachment])).
% 8.45/2.17 thf(zip_derived_cl718, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i]:
% 8.45/2.17 (~ (is_a_theorem @ (implies @ X1 @ (implies @ X1 @ X0)))
% 8.45/2.17 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl652, zip_derived_cl0])).
% 8.45/2.17 thf(zip_derived_cl757, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.17 (~ (is_a_theorem @
% 8.45/2.17 (implies @ X2 @
% 8.45/2.17 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))
% 8.45/2.17 | (is_a_theorem @
% 8.45/2.17 (implies @ (implies @ X1 @ X2) @ (implies @ X1 @ X0))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl718])).
% 8.45/2.17 thf(zip_derived_cl773, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.17 (is_a_theorem @
% 8.45/2.17 (implies @ (implies @ X3 @ X0) @
% 8.45/2.17 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0)))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl757])).
% 8.45/2.17 thf(zip_derived_cl201, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.17 (~ (is_a_theorem @
% 8.45/2.17 (implies @ X3 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 8.45/2.17 | (is_a_theorem @
% 8.45/2.17 (implies @ (implies @ X1 @ X3) @
% 8.45/2.17 (implies @ X2 @ (implies @ X1 @ X0)))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl0])).
% 8.45/2.17 thf(zip_derived_cl237, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 8.45/2.17 (~ (is_a_theorem @
% 8.45/2.17 (implies @ (implies @ X1 @ X0) @
% 8.45/2.17 (implies @ X3 @ (implies @ X0 @ X2))))
% 8.45/2.17 | (is_a_theorem @ (implies @ X3 @ (implies @ X0 @ X2))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl215])).
% 8.45/2.17 thf(zip_derived_cl291, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.17 (~ (is_a_theorem @
% 8.45/2.17 (implies @ X1 @ (implies @ X2 @ (implies @ X1 @ X0))))
% 8.45/2.17 | (is_a_theorem @ (implies @ X2 @ (implies @ X1 @ X0))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl237])).
% 8.45/2.17 thf(zip_derived_cl1040, plain,
% 8.45/2.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 8.45/2.17 (is_a_theorem @
% 8.45/2.17 (implies @ X2 @
% 8.45/2.17 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 8.45/2.17 inference('s_sup-', [status(thm)], [zip_derived_cl773, zip_derived_cl291])).
% 8.45/2.17 thf(zip_derived_cl1053, plain, ($false),
% 8.45/2.17 inference('demod', [status(thm)], [zip_derived_cl221, zip_derived_cl1040])).
% 8.45/2.17
% 8.45/2.17 % SZS output end Refutation
% 8.45/2.17
% 8.45/2.17
% 8.45/2.17 % Terminating...
% 3.27/2.21 % Runner terminated.
% 3.27/2.25 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------