%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : LCL405-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rKrvXWiLwJ true
% Computer : n012.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 01:35:52 PM UTC 2026
% Result : Unsatisfiable 33.93s 5.36s
% Output : Refutation 33.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL405-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.02 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rKrvXWiLwJ true
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.31 % CPULimit : 300
% 0.03/0.31 % WCLimit : 300
% 0.03/0.31 % DateTime : Sat Sep 5 03:02:12 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 % Running portfolio for 300 s
% 0.03/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.31 % Number of cores: 8
% 0.03/0.31 % Python version: Python 3.12.3
% 0.03/0.32 % Running in FO mode
% 0.19/0.46 % Total configuration time : 435
% 0.19/0.46 % Estimated wc time : 1092
% 0.19/0.46 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.53 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.53 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.53 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.53 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.53 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.53 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.68/0.54 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 33.93/5.36 % Solved by fo/fo13.sh.
% 33.93/5.36 % done 2352 iterations in 4.809s
% 33.93/5.36 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 33.93/5.36 % SZS output start Refutation
% 33.93/5.36 thf(y_type, type, y: $i).
% 33.93/5.36 thf(is_a_theorem_type, type, is_a_theorem: $i > $o).
% 33.93/5.36 thf(implies_type, type, implies: $i > $i > $i).
% 33.93/5.36 thf(not_type, type, not: $i > $i).
% 33.93/5.36 thf(x_type, type, x: $i).
% 33.93/5.36 thf(cn_3, axiom,
% 33.93/5.36 (is_a_theorem @ ( implies @ X @ ( implies @ ( not @ X ) @ Y ) ))).
% 33.93/5.36 thf(zip_derived_cl3, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 33.93/5.36 inference('cnf', [status(esa)], [cn_3])).
% 33.93/5.36 thf(condensed_detachment, axiom,
% 33.93/5.36 (( ~( is_a_theorem @ ( implies @ X @ Y ) ) ) | ( ~( is_a_theorem @ X ) ) |
% 33.93/5.36 ( is_a_theorem @ Y ))).
% 33.93/5.36 thf(zip_derived_cl0, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.36 | ~ (is_a_theorem @ X0)
% 33.93/5.36 | (is_a_theorem @ X1))),
% 33.93/5.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.36 thf(zip_derived_cl7, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 33.93/5.36 thf(cn_2, axiom,
% 33.93/5.36 (is_a_theorem @ ( implies @ ( implies @ ( not @ X ) @ X ) @ X ))).
% 33.93/5.36 thf(zip_derived_cl2, plain,
% 33.93/5.36 (![X0 : $i]:
% 33.93/5.36 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 33.93/5.36 inference('cnf', [status(esa)], [cn_2])).
% 33.93/5.36 thf(cn_1, axiom,
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 ( implies @
% 33.93/5.36 ( implies @ X @ Y ) @
% 33.93/5.36 ( implies @ ( implies @ Y @ Z ) @ ( implies @ X @ Z ) ) ))).
% 33.93/5.36 thf(zip_derived_cl1, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X0 @ X1) @
% 33.93/5.36 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 33.93/5.36 inference('cnf', [status(esa)], [cn_1])).
% 33.93/5.36 thf(zip_derived_cl0, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.36 | ~ (is_a_theorem @ X0)
% 33.93/5.36 | (is_a_theorem @ X1))),
% 33.93/5.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.36 thf(zip_derived_cl9, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl27, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X0 @ X1) @
% 33.93/5.36 (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl0, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.36 | ~ (is_a_theorem @ X0)
% 33.93/5.36 | (is_a_theorem @ X1))),
% 33.93/5.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.36 thf(zip_derived_cl76, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 33.93/5.36 | (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X1) @ X0)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl468, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ X1)
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ (not @ (not @ X1)) @ (not @ X1)) @ X0)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl76])).
% 33.93/5.36 thf(zip_derived_cl7, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ X1) | (is_a_theorem @ (implies @ (not @ X1) @ X0)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl9, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl29, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ X1)
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X0 @ X2) @ (implies @ (not @ X1) @ X2))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl9, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl31, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ X1)
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X3) @
% 33.93/5.36 (implies @ (implies @ X2 @ X0) @ X3))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl9, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl142, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ X3)
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @
% 33.93/5.36 (implies @ (implies @ (implies @ X2 @ X1) @ X0) @ X4) @
% 33.93/5.36 (implies @ (implies @ (implies @ (not @ X3) @ X1) @ X0) @ X4))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl27, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X0 @ X1) @
% 33.93/5.36 (implies @ (implies @ (not @ X0) @ X0) @ X1)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl9, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl77, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @
% 33.93/5.36 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2) @
% 33.93/5.36 (implies @ (implies @ X1 @ X0) @ X2)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl77, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @
% 33.93/5.36 (implies @ (implies @ (implies @ (not @ X1) @ X1) @ X0) @ X2) @
% 33.93/5.36 (implies @ (implies @ X1 @ X0) @ X2)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl9, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl480, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ (implies @ (implies @ X2 @ X1) @ X0) @ X3) @
% 33.93/5.36 (implies @
% 33.93/5.36 (implies @ (implies @ (implies @ (not @ X2) @ X2) @ X1) @ X0) @ X3)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl1, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X0 @ X1) @
% 33.93/5.36 (implies @ (implies @ X1 @ X2) @ (implies @ X0 @ X2))))),
% 33.93/5.36 inference('cnf', [status(esa)], [cn_1])).
% 33.93/5.36 thf(zip_derived_cl9, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl28, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @
% 33.93/5.36 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 33.93/5.36 X3) @
% 33.93/5.36 (implies @ (implies @ X1 @ X2) @ X3)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl3, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (is_a_theorem @ (implies @ X0 @ (implies @ (not @ X0) @ X1)))),
% 33.93/5.36 inference('cnf', [status(esa)], [cn_3])).
% 33.93/5.36 thf(zip_derived_cl9, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl26, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 33.93/5.36 (implies @ X1 @ X2)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl9, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X1 @ X2))
% 33.93/5.36 | (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl56, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 33.93/5.36 (implies @ (implies @ (implies @ (not @ X1) @ X2) @ X0) @ X3)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl28, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @
% 33.93/5.36 (implies @ (implies @ (implies @ X2 @ X0) @ (implies @ X1 @ X0)) @
% 33.93/5.36 X3) @
% 33.93/5.36 (implies @ (implies @ X1 @ X2) @ X3)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl26, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 33.93/5.36 (implies @ X1 @ X2)))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 33.93/5.36 thf(zip_derived_cl2, plain,
% 33.93/5.36 (![X0 : $i]:
% 33.93/5.36 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 33.93/5.36 inference('cnf', [status(esa)], [cn_2])).
% 33.93/5.36 thf(prove_cn_71, conjecture,
% 33.93/5.36 (is_a_theorem @
% 33.93/5.36 ( not @ ( implies @ ( implies @ x @ x ) @ ( not @ ( implies @ y @ y ) ) ) ))).
% 33.93/5.36 thf(zf_stmt_0, negated_conjecture,
% 33.93/5.36 (~( is_a_theorem @
% 33.93/5.36 ( not @
% 33.93/5.36 ( implies @ ( implies @ x @ x ) @ ( not @ ( implies @ y @ y ) ) ) ) )),
% 33.93/5.36 inference('cnf.neg', [status(esa)], [prove_cn_71])).
% 33.93/5.36 thf(zip_derived_cl4, plain,
% 33.93/5.36 (~ (is_a_theorem @
% 33.93/5.36 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))),
% 33.93/5.36 inference('cnf', [status(esa)], [zf_stmt_0])).
% 33.93/5.36 thf(zip_derived_cl0, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.36 | ~ (is_a_theorem @ X0)
% 33.93/5.36 | (is_a_theorem @ X1))),
% 33.93/5.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.36 thf(zip_derived_cl6, plain,
% 33.93/5.36 (![X0 : $i]:
% 33.93/5.36 (~ (is_a_theorem @
% 33.93/5.36 (implies @ X0 @
% 33.93/5.36 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))
% 33.93/5.36 | ~ (is_a_theorem @ X0))),
% 33.93/5.36 inference('s_sup+', [status(thm)], [zip_derived_cl4, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl8, plain,
% 33.93/5.36 (~ (is_a_theorem @
% 33.93/5.36 (implies @
% 33.93/5.36 (not @
% 33.93/5.36 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))) @
% 33.93/5.36 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl6])).
% 33.93/5.36 thf(zip_derived_cl0, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.36 | ~ (is_a_theorem @ X0)
% 33.93/5.36 | (is_a_theorem @ X1))),
% 33.93/5.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.36 thf(zip_derived_cl10, plain,
% 33.93/5.36 (![X0 : $i]:
% 33.93/5.36 (~ (is_a_theorem @
% 33.93/5.36 (implies @ X0 @
% 33.93/5.36 (implies @
% 33.93/5.36 (not @
% 33.93/5.36 (not @
% 33.93/5.36 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))) @
% 33.93/5.36 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))))
% 33.93/5.36 | ~ (is_a_theorem @ X0))),
% 33.93/5.36 inference('s_sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl57, plain,
% 33.93/5.36 (![X0 : $i]:
% 33.93/5.36 ~ (is_a_theorem @
% 33.93/5.36 (implies @
% 33.93/5.36 (implies @
% 33.93/5.36 (not @
% 33.93/5.36 (not @
% 33.93/5.36 (not @
% 33.93/5.36 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))) @
% 33.93/5.36 X0) @
% 33.93/5.36 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl10])).
% 33.93/5.36 thf(zip_derived_cl0, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.36 | ~ (is_a_theorem @ X0)
% 33.93/5.36 | (is_a_theorem @ X1))),
% 33.93/5.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.36 thf(zip_derived_cl62, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @
% 33.93/5.36 (implies @ X1 @
% 33.93/5.36 (implies @
% 33.93/5.36 (implies @
% 33.93/5.36 (not @
% 33.93/5.36 (not @
% 33.93/5.36 (not @
% 33.93/5.36 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))) @
% 33.93/5.36 X0) @
% 33.93/5.36 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))))
% 33.93/5.36 | ~ (is_a_theorem @ X1))),
% 33.93/5.36 inference('s_sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl93, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 ~ (is_a_theorem @
% 33.93/5.36 (implies @
% 33.93/5.36 (implies @ (implies @ X0 @ X1) @
% 33.93/5.36 (implies @
% 33.93/5.36 (not @
% 33.93/5.36 (not @
% 33.93/5.36 (not @
% 33.93/5.36 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))) @
% 33.93/5.36 X1)) @
% 33.93/5.36 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl62])).
% 33.93/5.36 thf(zip_derived_cl0, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.36 | ~ (is_a_theorem @ X0)
% 33.93/5.36 | (is_a_theorem @ X1))),
% 33.93/5.36 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.36 thf(zip_derived_cl110, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.36 (~ (is_a_theorem @
% 33.93/5.36 (implies @ X2 @
% 33.93/5.36 (implies @
% 33.93/5.36 (implies @ (implies @ X1 @ X0) @
% 33.93/5.36 (implies @
% 33.93/5.36 (not @
% 33.93/5.36 (not @
% 33.93/5.36 (not @
% 33.93/5.36 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))) @
% 33.93/5.36 X0)) @
% 33.93/5.36 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))))
% 33.93/5.36 | ~ (is_a_theorem @ X2))),
% 33.93/5.36 inference('s_sup+', [status(thm)], [zip_derived_cl93, zip_derived_cl0])).
% 33.93/5.36 thf(zip_derived_cl289, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 ~ (is_a_theorem @
% 33.93/5.36 (implies @
% 33.93/5.36 (implies @ X1 @
% 33.93/5.36 (implies @
% 33.93/5.36 (not @
% 33.93/5.36 (not @
% 33.93/5.36 (not @
% 33.93/5.36 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))) @
% 33.93/5.36 X0)) @
% 33.93/5.36 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))),
% 33.93/5.36 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl110])).
% 33.93/5.36 thf(zip_derived_cl0, plain,
% 33.93/5.36 (![X0 : $i, X1 : $i]:
% 33.93/5.36 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.36 | ~ (is_a_theorem @ X0)
% 33.93/5.37 | (is_a_theorem @ X1))),
% 33.93/5.37 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.37 thf(zip_derived_cl295, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.37 (~ (is_a_theorem @
% 33.93/5.37 (implies @ X2 @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @ X1 @
% 33.93/5.37 (implies @
% 33.93/5.37 (not @
% 33.93/5.37 (not @
% 33.93/5.37 (not @
% 33.93/5.37 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))) @
% 33.93/5.37 X0)) @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))))
% 33.93/5.37 | ~ (is_a_theorem @ X2))),
% 33.93/5.37 inference('s_sup+', [status(thm)], [zip_derived_cl289, zip_derived_cl0])).
% 33.93/5.37 thf(zip_derived_cl304, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.37 ~ (is_a_theorem @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @
% 33.93/5.37 (not @
% 33.93/5.37 (not @
% 33.93/5.37 (not @
% 33.93/5.37 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))) @
% 33.93/5.37 X0) @
% 33.93/5.37 X2) @
% 33.93/5.37 (implies @ X1 @ X2)) @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))),
% 33.93/5.37 inference('s_sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl295])).
% 33.93/5.37 thf(zip_derived_cl0, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i]:
% 33.93/5.37 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.37 | ~ (is_a_theorem @ X0)
% 33.93/5.37 | (is_a_theorem @ X1))),
% 33.93/5.37 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.37 thf(zip_derived_cl331, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.37 (~ (is_a_theorem @
% 33.93/5.37 (implies @ X3 @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @
% 33.93/5.37 (not @
% 33.93/5.37 (not @
% 33.93/5.37 (not @
% 33.93/5.37 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))) @
% 33.93/5.37 X2) @
% 33.93/5.37 X0) @
% 33.93/5.37 (implies @ X1 @ X0)) @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))))
% 33.93/5.37 | ~ (is_a_theorem @ X3))),
% 33.93/5.37 inference('s_sup+', [status(thm)], [zip_derived_cl304, zip_derived_cl0])).
% 33.93/5.37 thf(zip_derived_cl7061, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i]:
% 33.93/5.37 ~ (is_a_theorem @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @
% 33.93/5.37 (not @
% 33.93/5.37 (not @
% 33.93/5.37 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))) @
% 33.93/5.37 X0) @
% 33.93/5.37 (implies @ X1 @ X0)) @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))),
% 33.93/5.37 inference('s_sup-', [status(thm)], [zip_derived_cl480, zip_derived_cl331])).
% 33.93/5.37 thf(zip_derived_cl56, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.37 (is_a_theorem @
% 33.93/5.37 (implies @ (implies @ (implies @ X1 @ X0) @ X3) @
% 33.93/5.37 (implies @ (implies @ (implies @ (not @ X1) @ X2) @ X0) @ X3)))),
% 33.93/5.37 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl9])).
% 33.93/5.37 thf(zip_derived_cl0, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i]:
% 33.93/5.37 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.37 | ~ (is_a_theorem @ X0)
% 33.93/5.37 | (is_a_theorem @ X1))),
% 33.93/5.37 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.37 thf(zip_derived_cl287, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.37 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 33.93/5.37 | (is_a_theorem @
% 33.93/5.37 (implies @ (implies @ (implies @ (not @ X3) @ X2) @ X1) @ X0)))),
% 33.93/5.37 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 33.93/5.37 thf(zip_derived_cl7144, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i]:
% 33.93/5.37 ~ (is_a_theorem @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))) @
% 33.93/5.37 (implies @ X1 @ X0)) @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))),
% 33.93/5.37 inference('s_sup+', [status(thm)],
% 33.93/5.37 [zip_derived_cl7061, zip_derived_cl287])).
% 33.93/5.37 thf(zip_derived_cl76, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i]:
% 33.93/5.37 (~ (is_a_theorem @ (implies @ X1 @ X0))
% 33.93/5.37 | (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X1) @ X0)))),
% 33.93/5.37 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl0])).
% 33.93/5.37 thf(zip_derived_cl7231, plain,
% 33.93/5.37 (~ (is_a_theorem @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))) @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))),
% 33.93/5.37 inference('s_sup+', [status(thm)], [zip_derived_cl7144, zip_derived_cl76])).
% 33.93/5.37 thf(zip_derived_cl0, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i]:
% 33.93/5.37 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.37 | ~ (is_a_theorem @ X0)
% 33.93/5.37 | (is_a_theorem @ X1))),
% 33.93/5.37 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.37 thf(zip_derived_cl7278, plain,
% 33.93/5.37 (![X0 : $i]:
% 33.93/5.37 (~ (is_a_theorem @
% 33.93/5.37 (implies @ X0 @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))) @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))))
% 33.93/5.37 | ~ (is_a_theorem @ X0))),
% 33.93/5.37 inference('s_sup+', [status(thm)], [zip_derived_cl7231, zip_derived_cl0])).
% 33.93/5.37 thf(zip_derived_cl7414, plain,
% 33.93/5.37 (~ (is_a_theorem @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @ (not @ (implies @ x @ x)) @ (implies @ x @ x)) @
% 33.93/5.37 (not @ (implies @ y @ y))) @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))),
% 33.93/5.37 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl7278])).
% 33.93/5.37 thf(zip_derived_cl0, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i]:
% 33.93/5.37 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.37 | ~ (is_a_theorem @ X0)
% 33.93/5.37 | (is_a_theorem @ X1))),
% 33.93/5.37 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.37 thf(zip_derived_cl7455, plain,
% 33.93/5.37 (![X0 : $i]:
% 33.93/5.37 (~ (is_a_theorem @
% 33.93/5.37 (implies @ X0 @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @ (not @ (implies @ x @ x)) @ (implies @ x @ x)) @
% 33.93/5.37 (not @ (implies @ y @ y))) @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))))
% 33.93/5.37 | ~ (is_a_theorem @ X0))),
% 33.93/5.37 inference('s_sup+', [status(thm)], [zip_derived_cl7414, zip_derived_cl0])).
% 33.93/5.37 thf(zip_derived_cl8581, plain,
% 33.93/5.37 (![X0 : $i]:
% 33.93/5.37 (~ (is_a_theorem @ (implies @ x @ x))
% 33.93/5.37 | ~ (is_a_theorem @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @ (implies @ X0 @ (implies @ x @ x)) @
% 33.93/5.37 (not @ (implies @ y @ y))) @
% 33.93/5.37 (not @
% 33.93/5.37 (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y)))))))),
% 33.93/5.37 inference('s_sup-', [status(thm)],
% 33.93/5.37 [zip_derived_cl142, zip_derived_cl7455])).
% 33.93/5.37 thf(zip_derived_cl26, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.37 (is_a_theorem @
% 33.93/5.37 (implies @ (implies @ (implies @ (not @ X1) @ X0) @ X2) @
% 33.93/5.37 (implies @ X1 @ X2)))),
% 33.93/5.37 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl9])).
% 33.93/5.37 thf(zip_derived_cl0, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i]:
% 33.93/5.37 (~ (is_a_theorem @ (implies @ X0 @ X1))
% 33.93/5.37 | ~ (is_a_theorem @ X0)
% 33.93/5.37 | (is_a_theorem @ X1))),
% 33.93/5.37 inference('cnf', [status(esa)], [condensed_detachment])).
% 33.93/5.37 thf(zip_derived_cl55, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i, X2 : $i]:
% 33.93/5.37 (~ (is_a_theorem @ (implies @ (implies @ (not @ X1) @ X2) @ X0))
% 33.93/5.37 | (is_a_theorem @ (implies @ X1 @ X0)))),
% 33.93/5.37 inference('s_sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl0])).
% 33.93/5.37 thf(zip_derived_cl2, plain,
% 33.93/5.37 (![X0 : $i]:
% 33.93/5.37 (is_a_theorem @ (implies @ (implies @ (not @ X0) @ X0) @ X0))),
% 33.93/5.37 inference('cnf', [status(esa)], [cn_2])).
% 33.93/5.37 thf(zip_derived_cl99, plain,
% 33.93/5.37 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 33.93/5.37 inference('s_sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl2])).
% 33.93/5.37 thf(zip_derived_cl8593, plain,
% 33.93/5.37 (![X0 : $i]:
% 33.93/5.37 ~ (is_a_theorem @
% 33.93/5.37 (implies @
% 33.93/5.37 (implies @ (implies @ X0 @ (implies @ x @ x)) @
% 33.93/5.37 (not @ (implies @ y @ y))) @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))),
% 33.93/5.37 inference('demod', [status(thm)], [zip_derived_cl8581, zip_derived_cl99])).
% 33.93/5.37 thf(zip_derived_cl287, plain,
% 33.93/5.37 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 33.93/5.37 (~ (is_a_theorem @ (implies @ (implies @ X3 @ X1) @ X0))
% 33.93/5.37 | (is_a_theorem @
% 33.93/5.37 (implies @ (implies @ (implies @ (not @ X3) @ X2) @ X1) @ X0)))),
% 33.93/5.37 inference('s_sup-', [status(thm)], [zip_derived_cl56, zip_derived_cl0])).
% 33.93/5.37 thf(zip_derived_cl8618, plain,
% 33.93/5.37 (![X0 : $i]:
% 33.93/5.37 ~ (is_a_theorem @
% 33.93/5.37 (implies @ (implies @ X0 @ (not @ (implies @ y @ y))) @
% 33.93/5.37 (not @ (implies @ (implies @ x @ x) @ (not @ (implies @ y @ y))))))),
% 33.93/5.37 inference('s_sup+', [status(thm)],
% 33.93/5.37 [zip_derived_cl8593, zip_derived_cl287])).
% 33.93/5.37 thf(zip_derived_cl8680, plain, (~ (is_a_theorem @ (implies @ y @ y))),
% 33.93/5.37 inference('s_sup-', [status(thm)],
% 33.93/5.37 [zip_derived_cl468, zip_derived_cl8618])).
% 33.93/5.37 thf(zip_derived_cl99, plain,
% 33.93/5.37 (![X0 : $i]: (is_a_theorem @ (implies @ X0 @ X0))),
% 33.93/5.37 inference('s_sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl2])).
% 33.93/5.37 thf(zip_derived_cl8681, plain, ($false),
% 33.93/5.37 inference('demod', [status(thm)], [zip_derived_cl8680, zip_derived_cl99])).
% 33.93/5.37
% 33.93/5.37 % SZS output end Refutation
% 33.93/5.37
% 33.93/5.37
% 33.93/5.37 % Terminating...
% 33.93/5.39 % Runner terminated.
% 5.65/5.40 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------