%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU468^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Da8VxMQOl9 true
% Computer : n024.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 Oct 2 04:54:44 PM UTC 2025
% Result : Theorem 8.18s 1.81s
% Output : Refutation 8.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : SEU468^1 : TPTP v9.2.0. Released v3.6.0.
% 0.02/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Da8VxMQOl9 true
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Oct 1 16:06:53 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % Running portfolio for 300 s
% 0.11/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.34 % Python version: Python 3.6.8
% 0.11/0.34 % Running in HO mode
% 0.51/0.65 % Total configuration time : 828
% 0.51/0.65 % Estimated wc time : 1656
% 0.51/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.83 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.84 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 8.18/1.81 % Solved by lams/40_b.comb.sh.
% 8.18/1.81 % done 179 iterations in 0.986s
% 8.18/1.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 8.18/1.81 % SZS output start Refutation
% 8.18/1.81 thf('#sk2_type', type, '#sk2': $i > $i > $o).
% 8.18/1.81 thf(subrel_type, type, subrel: ($i > $i > $o) > ($i > $i > $o) > $o).
% 8.18/1.81 thf('#sk5_type', type, '#sk5': $i > $i > $o).
% 8.18/1.81 thf('#sk1_type', type, '#sk1': $i > $i > $o).
% 8.18/1.81 thf(mono_type, type, mono: (($i > $i > $o) > $i > $i > $o) > $o).
% 8.18/1.81 thf('#sk4_type', type, '#sk4': $i).
% 8.18/1.81 thf('#sk6_type', type, '#sk6': ($i > $i > $o) > $i).
% 8.18/1.81 thf('#sk9_type', type, '#sk9': ($i > $i > $o) > $i).
% 8.18/1.81 thf(tc_type, type, tc: ($i > $i > $o) > $i > $i > $o).
% 8.18/1.81 thf('#sk10_type', type, '#sk10': ($i > $i > $o) > $i).
% 8.18/1.81 thf('#sk3_type', type, '#sk3': $i).
% 8.18/1.81 thf('#sk8_type', type, '#sk8': ($i > $i > $o) > $i).
% 8.18/1.81 thf(trans_type, type, trans: ($i > $i > $o) > $o).
% 8.18/1.81 thf('#sk7_type', type, '#sk7': ($i > $i > $o) > $i).
% 8.18/1.81 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 8.18/1.81 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 8.18/1.81 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 8.18/1.81 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 8.18/1.81 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 8.18/1.81 thf(transitive_closure_op_is_monotonic, conjecture, (mono @ tc)).
% 8.18/1.81 thf(zf_stmt_0, negated_conjecture, (~( mono @ tc )),
% 8.18/1.81 inference('cnf.neg', [status(esa)], [transitive_closure_op_is_monotonic])).
% 8.18/1.81 thf(zip_derived_cl0, plain, (~ (mono @ tc)),
% 8.18/1.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 8.18/1.81 thf(monotonic, axiom, ~ (mono @ X0) =>
% 8.18/1.81 ((((!!) @ (^[Y0 : $i > $i > $o]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i > $i > $o]:
% 8.18/1.81 (((subrel @ Y0 @ Y1) => (subrel @ (X0 @ Y0) @
% 8.18/1.81 (X0 @ Y1))))))))))
% 8.18/1.81 != ($true))).
% 8.18/1.81 thf('0', plain,
% 8.18/1.81 (![X0:( ( $i > $i > $o ) > $i > $i > $o )]:
% 8.18/1.81 ( ( ~( mono @ X0 ) ) <=>
% 8.18/1.81 ( ~( ![X5:( $i > $i > $o ),X7:( $i > $i > $o )]:
% 8.18/1.81 ( ( subrel @ X5 @ X7 ) => ( subrel @ ( X0 @ X5 ) @ ( X0 @ X7 ) ) ) ) ) )),
% 8.18/1.81 inference('rw.lit', [status(esa)], [monotonic])).
% 8.18/1.81 thf(zip_derived_cl1, plain,
% 8.18/1.81 (~ (((!!) @ (^[Y0 : $i > $i > $o]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i > $i > $o]:
% 8.18/1.81 (((subrel @ Y0 @ Y1) => (subrel @ (tc @ Y0) @
% 8.18/1.81 (tc @ Y1))))))))))),
% 8.18/1.81 inference('rw_clause', [status(thm)], [zip_derived_cl0, '0'])).
% 8.18/1.81 thf(zip_derived_cl2, plain,
% 8.18/1.81 (~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ subrel)))) @
% 8.18/1.81 ((('#C') @ ((('#B') @ ('#B') @ ((('#B') @ subrel @ tc)))) @
% 8.18/1.81 tc))))))))),
% 8.18/1.81 inference('comb-normalize', [status(thm)], [zip_derived_cl1])).
% 8.18/1.81 thf(zip_derived_cl3, plain,
% 8.18/1.81 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (subrel @ '#sk1'))) @
% 8.18/1.81 ((('#B') @ (subrel @ (tc @ '#sk1')) @ tc))))))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
% 8.18/1.81 thf(zip_derived_cl4, plain,
% 8.18/1.81 (~ (((subrel @ '#sk1' @ '#sk2') => (subrel @ (tc @ '#sk1') @
% 8.18/1.81 (tc @ '#sk2'))))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])).
% 8.18/1.81 thf(zip_derived_cl6, plain, (~ (subrel @ (tc @ '#sk1') @ (tc @ '#sk2'))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
% 8.18/1.81 thf(subrel, axiom, ~ (subrel @ X0 @ X1) =>
% 8.18/1.81 ((((!!) @ (^[Y0 : $i]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i]: (((X0 @ Y0 @ Y1) => (X1 @ Y0 @ Y1)))))))))
% 8.18/1.81 != ($true))).
% 8.18/1.81 thf('1', plain,
% 8.18/1.81 (![X0:( $i > $i > $o ),X1:( $i > $i > $o )]:
% 8.18/1.81 ( ( ~( subrel @ X0 @ X1 ) ) <=>
% 8.18/1.81 ( ~( ![X6:$i,X8:$i]: ( ( X0 @ X6 @ X8 ) => ( X1 @ X6 @ X8 ) ) ) ) )),
% 8.18/1.81 inference('rw.lit', [status(esa)], [subrel])).
% 8.18/1.81 thf(zip_derived_cl8, plain,
% 8.18/1.81 (~ (((!!) @ (^[Y0 : $i]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i]:
% 8.18/1.81 (((tc @ '#sk1' @ Y0 @ Y1) => (tc @ '#sk2' @
% 8.18/1.81 Y0 @ Y1)))))))))),
% 8.18/1.81 inference('rw_clause', [status(thm)], [zip_derived_cl6, '1'])).
% 8.18/1.81 thf(zip_derived_cl11, plain,
% 8.18/1.81 (~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ (tc @ '#sk1'))))) @
% 8.18/1.81 (tc @ '#sk2')))))))),
% 8.18/1.81 inference('comb-normalize', [status(thm)], [zip_derived_cl8])).
% 8.18/1.81 thf(zip_derived_cl12, plain,
% 8.18/1.81 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ (tc @ '#sk1' @ '#sk3'))) @
% 8.18/1.81 (tc @ '#sk2' @ '#sk3')))))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])).
% 8.18/1.81 thf(zip_derived_cl14, plain,
% 8.18/1.81 (~ (((tc @ '#sk1' @ '#sk3' @ '#sk4') => (tc @ '#sk2' @ '#sk3' @ '#sk4')))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])).
% 8.18/1.81 thf(zip_derived_cl16, plain, ( (tc @ '#sk1' @ '#sk3' @ '#sk4')),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])).
% 8.18/1.81 thf(transitive_closure, axiom, (tc @ X0 @ X1 @ X2) =>
% 8.18/1.81 ((((!!) @ (^[Y0 : $i > $i > $o]:
% 8.18/1.81 (((((subrel @ X0 @ Y0) & (trans @ Y0))) => (Y0 @ X1 @ X2))))))
% 8.18/1.81 = ($true))).
% 8.18/1.81 thf('2', plain,
% 8.18/1.81 (![X0:( $i > $i > $o ),X1:$i,X2:$i]:
% 8.18/1.81 ( ( tc @ X0 @ X1 @ X2 ) <=>
% 8.18/1.81 ( ![X7:( $i > $i > $o )]:
% 8.18/1.81 ( ( ( subrel @ X0 @ X7 ) & ( trans @ X7 ) ) => ( X7 @ X1 @ X2 ) ) ) )),
% 8.18/1.81 inference('rw.lit', [status(esa)], [transitive_closure])).
% 8.18/1.81 thf(zip_derived_cl18, plain,
% 8.18/1.81 ( (((!!) @ (^[Y0 : $i > $i > $o]:
% 8.18/1.81 (((((subrel @ '#sk1' @ Y0) & (trans @ Y0))) => (Y0 @
% 8.18/1.81 '#sk3' @ '#sk4'))))))),
% 8.18/1.81 inference('rw_clause', [status(thm)], [zip_derived_cl16, '2'])).
% 8.18/1.81 thf(zip_derived_cl20, plain,
% 8.18/1.81 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 8.18/1.81 ((('#S') @ ((('#B') @ (&) @ (subrel @ '#sk1'))) @
% 8.18/1.81 trans)))) @
% 8.18/1.81 ((('#C') @ ((('#C') @ ('#I') @ '#sk3')) @ '#sk4'))))))),
% 8.18/1.81 inference('comb-normalize', [status(thm)], [zip_derived_cl18])).
% 8.18/1.81 thf(zip_derived_cl21, plain,
% 8.18/1.81 (![X2 : $i > $i > $o]:
% 8.18/1.81 (((((subrel @ '#sk1' @ X2) & (trans @ X2))) => (X2 @ '#sk3' @ '#sk4')))),
% 8.18/1.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])).
% 8.18/1.81 thf(zip_derived_cl24, plain,
% 8.18/1.81 (![X2 : $i > $i > $o]:
% 8.18/1.81 (~ (((subrel @ '#sk1' @ X2) & (trans @ X2))) | (X2 @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])).
% 8.18/1.81 thf(zip_derived_cl27, plain,
% 8.18/1.81 (![X2 : $i > $i > $o]:
% 8.18/1.81 (~ (subrel @ '#sk1' @ X2) | ~ (trans @ X2) | (X2 @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl24])).
% 8.18/1.81 thf(zip_derived_cl30, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (((!!) @ (^[Y0 : $i]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i]:
% 8.18/1.81 ((('#sk1' @ Y0 @ Y1) => (X0 @ Y0 @ Y1)))))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ (trans @ X0))),
% 8.18/1.81 inference('rw_clause', [status(thm)], [zip_derived_cl27, '1'])).
% 8.18/1.81 thf(zip_derived_cl33, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk1')))) @
% 8.18/1.81 X0))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ (trans @ X0))),
% 8.18/1.81 inference('comb-normalize', [status(thm)], [zip_derived_cl30])).
% 8.18/1.81 thf(transitive, axiom, ~ (trans @ X0) =>
% 8.18/1.81 ((((!!) @ (^[Y0 : $i]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i]:
% 8.18/1.81 (((!!) @ (^[Y2 : $i]:
% 8.18/1.81 (((((X0 @ Y1 @ Y2) & (X0 @ Y0 @ Y1))) =>
% 8.18/1.81 (X0 @ Y0 @ Y2))))))))))))
% 8.18/1.81 != ($true))).
% 8.18/1.81 thf('3', plain,
% 8.18/1.81 (![X0:( $i > $i > $o )]:
% 8.18/1.81 ( ( ~( trans @ X0 ) ) <=>
% 8.18/1.81 ( ~( ![X5:$i,X7:$i,X9:$i]:
% 8.18/1.81 ( ( ( X0 @ X7 @ X9 ) & ( X0 @ X5 @ X7 ) ) => ( X0 @ X5 @ X9 ) ) ) ) )),
% 8.18/1.81 inference('rw.lit', [status(esa)], [transitive])).
% 8.18/1.81 thf(zip_derived_cl34, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (((!!) @ (^[Y0 : $i]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i]:
% 8.18/1.81 (((!!) @ (^[Y2 : $i]:
% 8.18/1.81 (((((X0 @ Y1 @ Y2) & (X0 @
% 8.18/1.81 Y0 @ Y1))) =>
% 8.18/1.81 (X0 @ Y0 @ Y2))))))))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk1')))) @
% 8.18/1.81 X0)))))))),
% 8.18/1.81 inference('rw_clause', [status(thm)], [zip_derived_cl33, '3'])).
% 8.18/1.81 thf(zip_derived_cl39, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#B') @ ((('#B') @ (!!))) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#C') @
% 8.18/1.81 ((('#B') @ ((('#B') @ ('#S'))) @
% 8.18/1.81 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @
% 8.18/1.81 ((('#B') @ ((('#S') @ ((('#B') @ (
% 8.18/1.81 '#C') @
% 8.18/1.81 ((('#B') @ (
% 8.18/1.81 (('#B') @ (
% 8.18/1.81 &))) @
% 8.18/1.81 X0)))))) @
% 8.18/1.81 X0)))))))) @
% 8.18/1.81 X0))))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk1')))) @
% 8.18/1.81 X0)))))))),
% 8.18/1.81 inference('comb-normalize', [status(thm)], [zip_derived_cl34])).
% 8.18/1.81 thf(zip_derived_cl40, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#C') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#C') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (&))) @
% 8.18/1.81 X0)))) @
% 8.18/1.81 (X0 @ ('#sk6' @ X0)))))))) @
% 8.18/1.81 (X0 @ ('#sk6' @ X0))))))))
% 8.18/1.81 | ~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk1')))) @
% 8.18/1.81 X0))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])).
% 8.18/1.81 thf(zip_derived_cl43, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 8.18/1.81 ((('#C') @ ((('#B') @ (&) @
% 8.18/1.81 (X0 @ ('#sk7' @ X0)))) @
% 8.18/1.81 (X0 @ ('#sk6' @ X0) @ ('#sk7' @ X0)))))) @
% 8.18/1.81 (X0 @ ('#sk6' @ X0))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk1')))) @
% 8.18/1.81 X0)))))))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl40])).
% 8.18/1.81 thf(zip_derived_cl46, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (((((X0 @ ('#sk7' @ X0) @ ('#sk8' @ X0)) & (X0 @ ('#sk6' @ X0) @
% 8.18/1.81 ('#sk7' @ X0)))) =>
% 8.18/1.81 (X0 @ ('#sk6' @ X0) @ ('#sk8' @ X0))))
% 8.18/1.81 | ~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk1')))) @
% 8.18/1.81 X0))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl43])).
% 8.18/1.81 thf(zip_derived_cl49, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (X0 @ ('#sk6' @ X0) @ ('#sk8' @ X0))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk1')))) @
% 8.18/1.81 X0)))))))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])).
% 8.18/1.81 thf(zip_derived_cl53, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ('#sk1' @ ('#sk9' @ X0)))) @
% 8.18/1.81 (X0 @ ('#sk9' @ X0))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ (X0 @ ('#sk6' @ X0) @ ('#sk8' @ X0)))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl49])).
% 8.18/1.81 thf(zip_derived_cl56, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ ((('#sk1' @ ('#sk9' @ X0) @ ('#sk10' @ X0)) => (X0 @
% 8.18/1.81 ('#sk9' @ X0) @ ('#sk10' @ X0))))
% 8.18/1.81 | ~ (X0 @ ('#sk6' @ X0) @ ('#sk8' @ X0))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl53])).
% 8.18/1.81 thf(zip_derived_cl59, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 ( ('#sk1' @ ('#sk9' @ X0) @ ('#sk10' @ X0))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ (X0 @ ('#sk6' @ X0) @ ('#sk8' @ X0)))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl56])).
% 8.18/1.81 thf(zip_derived_cl17, plain, (~ (tc @ '#sk2' @ '#sk3' @ '#sk4')),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])).
% 8.18/1.81 thf(transitive_closure, axiom, ~ (tc @ X0 @ X1 @ X2) =>
% 8.18/1.81 ((((!!) @ (^[Y0 : $i > $i > $o]:
% 8.18/1.81 (((((subrel @ X0 @ Y0) & (trans @ Y0))) => (Y0 @ X1 @ X2))))))
% 8.18/1.81 != ($true))).
% 8.18/1.81 thf('4', plain,
% 8.18/1.81 (![X0:( $i > $i > $o ),X1:$i,X2:$i]:
% 8.18/1.81 ( ( ~( tc @ X0 @ X1 @ X2 ) ) <=>
% 8.18/1.81 ( ~( ![X7:( $i > $i > $o )]:
% 8.18/1.81 ( ( ( subrel @ X0 @ X7 ) & ( trans @ X7 ) ) => ( X7 @ X1 @ X2 ) ) ) ) )),
% 8.18/1.81 inference('rw.lit', [status(esa)], [transitive_closure])).
% 8.18/1.81 thf(zip_derived_cl19, plain,
% 8.18/1.81 (~ (((!!) @ (^[Y0 : $i > $i > $o]:
% 8.18/1.81 (((((subrel @ '#sk2' @ Y0) & (trans @ Y0))) => (Y0 @
% 8.18/1.81 '#sk3' @ '#sk4'))))))),
% 8.18/1.81 inference('rw_clause', [status(thm)], [zip_derived_cl17, '4'])).
% 8.18/1.81 thf(zip_derived_cl22, plain,
% 8.18/1.81 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 8.18/1.81 ((('#S') @ ((('#B') @ (&) @ (subrel @ '#sk2'))) @
% 8.18/1.81 trans)))) @
% 8.18/1.81 ((('#C') @ ((('#C') @ ('#I') @ '#sk3')) @ '#sk4'))))))),
% 8.18/1.81 inference('comb-normalize', [status(thm)], [zip_derived_cl19])).
% 8.18/1.81 thf(zip_derived_cl23, plain,
% 8.18/1.81 (~ (((((subrel @ '#sk2' @ '#sk5') & (trans @ '#sk5'))) => ('#sk5' @
% 8.18/1.81 '#sk3' @ '#sk4')))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl22])).
% 8.18/1.81 thf(zip_derived_cl25, plain,
% 8.18/1.81 ( (((subrel @ '#sk2' @ '#sk5') & (trans @ '#sk5')))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 8.18/1.81 thf(zip_derived_cl28, plain, ( (subrel @ '#sk2' @ '#sk5')),
% 8.18/1.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])).
% 8.18/1.81 thf(subrel, axiom, (subrel @ X0 @ X1) =>
% 8.18/1.81 ((((!!) @ (^[Y0 : $i]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i]: (((X0 @ Y0 @ Y1) => (X1 @ Y0 @ Y1)))))))))
% 8.18/1.81 = ($true))).
% 8.18/1.81 thf('5', plain,
% 8.18/1.81 (![X0:( $i > $i > $o ),X1:( $i > $i > $o )]:
% 8.18/1.81 ( ( subrel @ X0 @ X1 ) <=>
% 8.18/1.81 ( ![X6:$i,X8:$i]: ( ( X0 @ X6 @ X8 ) => ( X1 @ X6 @ X8 ) ) ) )),
% 8.18/1.81 inference('rw.lit', [status(esa)], [subrel])).
% 8.18/1.81 thf(zip_derived_cl31, plain,
% 8.18/1.81 ( (((!!) @ (^[Y0 : $i]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i]:
% 8.18/1.81 ((('#sk2' @ Y0 @ Y1) => ('#sk5' @ Y0 @ Y1)))))))))),
% 8.18/1.81 inference('rw_clause', [status(thm)], [zip_derived_cl28, '5'])).
% 8.18/1.81 thf(zip_derived_cl35, plain,
% 8.18/1.81 ( (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk2')))) @
% 8.18/1.81 '#sk5'))))))),
% 8.18/1.81 inference('comb-normalize', [status(thm)], [zip_derived_cl31])).
% 8.18/1.81 thf(zip_derived_cl36, plain,
% 8.18/1.81 (![X2 : $i]:
% 8.18/1.81 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ('#sk2' @ X2))) @ ('#sk5' @ X2)))))),
% 8.18/1.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])).
% 8.18/1.81 thf(zip_derived_cl41, plain,
% 8.18/1.81 (![X2 : $i, X4 : $i]: ((('#sk2' @ X2 @ X4) => ('#sk5' @ X2 @ X4)))),
% 8.18/1.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl36])).
% 8.18/1.81 thf(zip_derived_cl44, plain,
% 8.18/1.81 (![X2 : $i, X4 : $i]: (~ ('#sk2' @ X2 @ X4) | ('#sk5' @ X2 @ X4))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])).
% 8.18/1.81 thf(zip_derived_cl5, plain, ( (subrel @ '#sk1' @ '#sk2')),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
% 8.18/1.81 thf(zip_derived_cl7, plain,
% 8.18/1.81 ( (((!!) @ (^[Y0 : $i]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i]:
% 8.18/1.81 ((('#sk1' @ Y0 @ Y1) => ('#sk2' @ Y0 @ Y1)))))))))),
% 8.18/1.81 inference('rw_clause', [status(thm)], [zip_derived_cl5, '5'])).
% 8.18/1.81 thf(zip_derived_cl9, plain,
% 8.18/1.81 ( (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk1')))) @
% 8.18/1.81 '#sk2'))))))),
% 8.18/1.81 inference('comb-normalize', [status(thm)], [zip_derived_cl7])).
% 8.18/1.81 thf(zip_derived_cl10, plain,
% 8.18/1.81 (![X2 : $i]:
% 8.18/1.81 (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ('#sk1' @ X2))) @ ('#sk2' @ X2)))))),
% 8.18/1.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])).
% 8.18/1.81 thf(zip_derived_cl13, plain,
% 8.18/1.81 (![X2 : $i, X4 : $i]: ((('#sk1' @ X2 @ X4) => ('#sk2' @ X2 @ X4)))),
% 8.18/1.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])).
% 8.18/1.81 thf(zip_derived_cl15, plain,
% 8.18/1.81 (![X2 : $i, X4 : $i]: (~ ('#sk1' @ X2 @ X4) | ('#sk2' @ X2 @ X4))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])).
% 8.18/1.81 thf(zip_derived_cl65, plain,
% 8.18/1.81 (![X0 : $i, X1 : $i]: ( ('#sk5' @ X1 @ X0) | ~ ('#sk1' @ X1 @ X0))),
% 8.18/1.81 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl15])).
% 8.18/1.81 thf(zip_derived_cl60, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (X0 @ ('#sk9' @ X0) @ ('#sk10' @ X0))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ (X0 @ ('#sk6' @ X0) @ ('#sk8' @ X0)))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl56])).
% 8.18/1.81 thf(zip_derived_cl206, plain,
% 8.18/1.81 ((~ ('#sk1' @ ('#sk9' @ '#sk5') @ ('#sk10' @ '#sk5'))
% 8.18/1.81 | ~ ('#sk5' @ ('#sk6' @ '#sk5') @ ('#sk8' @ '#sk5'))
% 8.18/1.81 | ('#sk5' @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('sup-', [status(thm)], [zip_derived_cl65, zip_derived_cl60])).
% 8.18/1.81 thf(zip_derived_cl26, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 8.18/1.81 thf(zip_derived_cl259, plain,
% 8.18/1.81 ((~ ('#sk1' @ ('#sk9' @ '#sk5') @ ('#sk10' @ '#sk5'))
% 8.18/1.81 | ~ ('#sk5' @ ('#sk6' @ '#sk5') @ ('#sk8' @ '#sk5')))),
% 8.18/1.81 inference('demod', [status(thm)], [zip_derived_cl206, zip_derived_cl26])).
% 8.18/1.81 thf(zip_derived_cl1352, plain,
% 8.18/1.81 ((~ ('#sk5' @ ('#sk6' @ '#sk5') @ ('#sk8' @ '#sk5'))
% 8.18/1.81 | ('#sk5' @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ ('#sk5' @ ('#sk6' @ '#sk5') @ ('#sk8' @ '#sk5')))),
% 8.18/1.81 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl259])).
% 8.18/1.81 thf(zip_derived_cl26, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 8.18/1.81 thf(zip_derived_cl1362, plain,
% 8.18/1.81 ((~ ('#sk5' @ ('#sk6' @ '#sk5') @ ('#sk8' @ '#sk5'))
% 8.18/1.81 | ~ ('#sk5' @ ('#sk6' @ '#sk5') @ ('#sk8' @ '#sk5')))),
% 8.18/1.81 inference('demod', [status(thm)], [zip_derived_cl1352, zip_derived_cl26])).
% 8.18/1.81 thf(zip_derived_cl1363, plain,
% 8.18/1.81 (~ ('#sk5' @ ('#sk6' @ '#sk5') @ ('#sk8' @ '#sk5'))),
% 8.18/1.81 inference('simplify', [status(thm)], [zip_derived_cl1362])).
% 8.18/1.81 thf(zip_derived_cl29, plain, ( (trans @ '#sk5')),
% 8.18/1.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])).
% 8.18/1.81 thf(transitive, axiom, (trans @ X0) =>
% 8.18/1.81 ((((!!) @ (^[Y0 : $i]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i]:
% 8.18/1.81 (((!!) @ (^[Y2 : $i]:
% 8.18/1.81 (((((X0 @ Y1 @ Y2) & (X0 @ Y0 @ Y1))) =>
% 8.18/1.81 (X0 @ Y0 @ Y2))))))))))))
% 8.18/1.81 = ($true))).
% 8.18/1.81 thf('6', plain,
% 8.18/1.81 (![X0:( $i > $i > $o )]:
% 8.18/1.81 ( ( trans @ X0 ) <=>
% 8.18/1.81 ( ![X5:$i,X7:$i,X9:$i]:
% 8.18/1.81 ( ( ( X0 @ X7 @ X9 ) & ( X0 @ X5 @ X7 ) ) => ( X0 @ X5 @ X9 ) ) ) )),
% 8.18/1.81 inference('rw.lit', [status(esa)], [transitive])).
% 8.18/1.81 thf(zip_derived_cl32, plain,
% 8.18/1.81 ( (((!!) @ (^[Y0 : $i]:
% 8.18/1.81 (((!!) @ (^[Y1 : $i]:
% 8.18/1.81 (((!!) @ (^[Y2 : $i]:
% 8.18/1.81 ((((('#sk5' @ Y1 @ Y2) & ('#sk5' @
% 8.18/1.81 Y0 @ Y1))) =>
% 8.18/1.81 ('#sk5' @ Y0 @ Y2))))))))))))),
% 8.18/1.81 inference('rw_clause', [status(thm)], [zip_derived_cl29, '6'])).
% 8.18/1.81 thf(zip_derived_cl37, plain,
% 8.18/1.81 ( (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#B') @ ((('#B') @ (!!))) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#C') @
% 8.18/1.81 ((('#B') @ ((('#B') @ ('#S'))) @
% 8.18/1.81 ((('#B') @ ((('#B') @ ((('#B') @ (=>))))) @
% 8.18/1.81 ((('#B') @ ((('#S') @ ((('#B') @ (
% 8.18/1.81 '#C') @
% 8.18/1.81 ((('#B') @ (
% 8.18/1.81 (('#B') @ (&))) @
% 8.18/1.81 '#sk5')))))) @
% 8.18/1.81 '#sk5')))))))) @
% 8.18/1.81 '#sk5'))))))))),
% 8.18/1.81 inference('comb-normalize', [status(thm)], [zip_derived_cl32])).
% 8.18/1.81 thf(zip_derived_cl38, plain,
% 8.18/1.81 (![X2 : $i]:
% 8.18/1.81 (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#C') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#C') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (&))) @
% 8.18/1.81 '#sk5')))) @
% 8.18/1.81 ('#sk5' @ X2))))))) @
% 8.18/1.81 ('#sk5' @ X2)))))))),
% 8.18/1.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl37])).
% 8.18/1.81 thf(zip_derived_cl42, plain,
% 8.18/1.81 (![X2 : $i, X4 : $i]:
% 8.18/1.81 (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 8.18/1.81 ((('#C') @ ((('#B') @ (&) @ ('#sk5' @ X4))) @
% 8.18/1.81 ('#sk5' @ X2 @ X4))))) @
% 8.18/1.81 ('#sk5' @ X2)))))),
% 8.18/1.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl38])).
% 8.18/1.81 thf(zip_derived_cl45, plain,
% 8.18/1.81 (![X2 : $i, X4 : $i, X6 : $i]:
% 8.18/1.81 ((((('#sk5' @ X4 @ X6) & ('#sk5' @ X2 @ X4))) => ('#sk5' @ X2 @ X6)))),
% 8.18/1.81 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl42])).
% 8.18/1.81 thf(zip_derived_cl47, plain,
% 8.18/1.81 (![X2 : $i, X4 : $i, X6 : $i]:
% 8.18/1.81 (~ ((('#sk5' @ X4 @ X6) & ('#sk5' @ X2 @ X4))) | ('#sk5' @ X2 @ X6))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])).
% 8.18/1.81 thf(zip_derived_cl50, plain,
% 8.18/1.81 (![X2 : $i, X4 : $i, X6 : $i]:
% 8.18/1.81 (~ ('#sk5' @ X4 @ X6) | ~ ('#sk5' @ X2 @ X4) | ('#sk5' @ X2 @ X6))),
% 8.18/1.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl47])).
% 8.18/1.81 thf(zip_derived_cl1371, plain,
% 8.18/1.81 (![X0 : $i]:
% 8.18/1.81 (~ ('#sk5' @ ('#sk6' @ '#sk5') @ X0)
% 8.18/1.81 | ~ ('#sk5' @ X0 @ ('#sk8' @ '#sk5')))),
% 8.18/1.81 inference('sup+', [status(thm)], [zip_derived_cl1363, zip_derived_cl50])).
% 8.18/1.81 thf(zip_derived_cl48, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 ( (((X0 @ ('#sk7' @ X0) @ ('#sk8' @ X0)) & (X0 @ ('#sk6' @ X0) @
% 8.18/1.81 ('#sk7' @ X0))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk1')))) @
% 8.18/1.81 X0)))))))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl46])).
% 8.18/1.81 thf(zip_derived_cl52, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 ( (X0 @ ('#sk6' @ X0) @ ('#sk7' @ X0))
% 8.18/1.81 | ~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk1')))) @
% 8.18/1.81 X0))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl48])).
% 8.18/1.81 thf(zip_derived_cl55, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ('#sk1' @ ('#sk9' @ X0)))) @
% 8.18/1.81 (X0 @ ('#sk9' @ X0))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | (X0 @ ('#sk6' @ X0) @ ('#sk7' @ X0)))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl52])).
% 8.18/1.81 thf(zip_derived_cl58, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ ((('#sk1' @ ('#sk9' @ X0) @ ('#sk10' @ X0)) => (X0 @
% 8.18/1.81 ('#sk9' @ X0) @ ('#sk10' @ X0))))
% 8.18/1.81 | (X0 @ ('#sk6' @ X0) @ ('#sk7' @ X0))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl55])).
% 8.18/1.81 thf(zip_derived_cl63, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 ( ('#sk1' @ ('#sk9' @ X0) @ ('#sk10' @ X0))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | (X0 @ ('#sk6' @ X0) @ ('#sk7' @ X0)))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])).
% 8.18/1.81 thf(zip_derived_cl1371, plain,
% 8.18/1.81 (![X0 : $i]:
% 8.18/1.81 (~ ('#sk5' @ ('#sk6' @ '#sk5') @ X0)
% 8.18/1.81 | ~ ('#sk5' @ X0 @ ('#sk8' @ '#sk5')))),
% 8.18/1.81 inference('sup+', [status(thm)], [zip_derived_cl1363, zip_derived_cl50])).
% 8.18/1.81 thf(zip_derived_cl64, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (X0 @ ('#sk9' @ X0) @ ('#sk10' @ X0))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | (X0 @ ('#sk6' @ X0) @ ('#sk7' @ X0)))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl58])).
% 8.18/1.81 thf(zip_derived_cl1524, plain,
% 8.18/1.81 ((~ ('#sk5' @ ('#sk7' @ '#sk5') @ ('#sk8' @ '#sk5'))
% 8.18/1.81 | ('#sk5' @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ ('#sk5' @ ('#sk9' @ '#sk5') @ ('#sk10' @ '#sk5')))),
% 8.18/1.81 inference('sup+', [status(thm)], [zip_derived_cl1371, zip_derived_cl64])).
% 8.18/1.81 thf(zip_derived_cl26, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 8.18/1.81 thf(zip_derived_cl1568, plain,
% 8.18/1.81 ((~ ('#sk5' @ ('#sk7' @ '#sk5') @ ('#sk8' @ '#sk5'))
% 8.18/1.81 | ~ ('#sk5' @ ('#sk9' @ '#sk5') @ ('#sk10' @ '#sk5')))),
% 8.18/1.81 inference('demod', [status(thm)], [zip_derived_cl1524, zip_derived_cl26])).
% 8.18/1.81 thf(zip_derived_cl51, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 ( (X0 @ ('#sk7' @ X0) @ ('#sk8' @ X0))
% 8.18/1.81 | ~ (((!!) @ ((('#B') @ (!!) @
% 8.18/1.81 ((('#S') @ ((('#B') @ ('#S') @
% 8.18/1.81 ((('#B') @ ((('#B') @ (=>))) @ '#sk1')))) @
% 8.18/1.81 X0))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl48])).
% 8.18/1.81 thf(zip_derived_cl54, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ('#sk1' @ ('#sk9' @ X0)))) @
% 8.18/1.81 (X0 @ ('#sk9' @ X0))))))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | (X0 @ ('#sk7' @ X0) @ ('#sk8' @ X0)))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl51])).
% 8.18/1.81 thf(zip_derived_cl57, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ ((('#sk1' @ ('#sk9' @ X0) @ ('#sk10' @ X0)) => (X0 @
% 8.18/1.81 ('#sk9' @ X0) @ ('#sk10' @ X0))))
% 8.18/1.81 | (X0 @ ('#sk7' @ X0) @ ('#sk8' @ X0))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl54])).
% 8.18/1.81 thf(zip_derived_cl62, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 (~ (X0 @ ('#sk9' @ X0) @ ('#sk10' @ X0))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | (X0 @ ('#sk7' @ X0) @ ('#sk8' @ X0)))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])).
% 8.18/1.81 thf(zip_derived_cl1655, plain,
% 8.18/1.81 ((~ ('#sk5' @ ('#sk9' @ '#sk5') @ ('#sk10' @ '#sk5'))
% 8.18/1.81 | ('#sk5' @ '#sk3' @ '#sk4')
% 8.18/1.81 | ~ ('#sk5' @ ('#sk9' @ '#sk5') @ ('#sk10' @ '#sk5')))),
% 8.18/1.81 inference('sup+', [status(thm)], [zip_derived_cl1568, zip_derived_cl62])).
% 8.18/1.81 thf(zip_derived_cl26, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 8.18/1.81 thf(zip_derived_cl1694, plain,
% 8.18/1.81 ((~ ('#sk5' @ ('#sk9' @ '#sk5') @ ('#sk10' @ '#sk5'))
% 8.18/1.81 | ~ ('#sk5' @ ('#sk9' @ '#sk5') @ ('#sk10' @ '#sk5')))),
% 8.18/1.81 inference('demod', [status(thm)], [zip_derived_cl1655, zip_derived_cl26])).
% 8.18/1.81 thf(zip_derived_cl1695, plain,
% 8.18/1.81 (~ ('#sk5' @ ('#sk9' @ '#sk5') @ ('#sk10' @ '#sk5'))),
% 8.18/1.81 inference('simplify', [status(thm)], [zip_derived_cl1694])).
% 8.18/1.81 thf(zip_derived_cl65, plain,
% 8.18/1.81 (![X0 : $i, X1 : $i]: ( ('#sk5' @ X1 @ X0) | ~ ('#sk1' @ X1 @ X0))),
% 8.18/1.81 inference('sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl15])).
% 8.18/1.81 thf(zip_derived_cl1698, plain,
% 8.18/1.81 (~ ('#sk1' @ ('#sk9' @ '#sk5') @ ('#sk10' @ '#sk5'))),
% 8.18/1.81 inference('sup+', [status(thm)], [zip_derived_cl1695, zip_derived_cl65])).
% 8.18/1.81 thf(zip_derived_cl1719, plain,
% 8.18/1.81 (( ('#sk5' @ ('#sk6' @ '#sk5') @ ('#sk7' @ '#sk5'))
% 8.18/1.81 | ('#sk5' @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl1698])).
% 8.18/1.81 thf(zip_derived_cl26, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 8.18/1.81 thf(zip_derived_cl1722, plain,
% 8.18/1.81 ( ('#sk5' @ ('#sk6' @ '#sk5') @ ('#sk7' @ '#sk5'))),
% 8.18/1.81 inference('demod', [status(thm)], [zip_derived_cl1719, zip_derived_cl26])).
% 8.18/1.81 thf(zip_derived_cl1803, plain,
% 8.18/1.81 (~ ('#sk5' @ ('#sk7' @ '#sk5') @ ('#sk8' @ '#sk5'))),
% 8.18/1.81 inference('sup+', [status(thm)], [zip_derived_cl1371, zip_derived_cl1722])).
% 8.18/1.81 thf(zip_derived_cl61, plain,
% 8.18/1.81 (![X0 : $i > $i > $o]:
% 8.18/1.81 ( ('#sk1' @ ('#sk9' @ X0) @ ('#sk10' @ X0))
% 8.18/1.81 | (X0 @ '#sk3' @ '#sk4')
% 8.18/1.81 | (X0 @ ('#sk7' @ X0) @ ('#sk8' @ X0)))),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl57])).
% 8.18/1.81 thf(zip_derived_cl1698, plain,
% 8.18/1.81 (~ ('#sk1' @ ('#sk9' @ '#sk5') @ ('#sk10' @ '#sk5'))),
% 8.18/1.81 inference('sup+', [status(thm)], [zip_derived_cl1695, zip_derived_cl65])).
% 8.18/1.81 thf(zip_derived_cl1718, plain,
% 8.18/1.81 (( ('#sk5' @ ('#sk7' @ '#sk5') @ ('#sk8' @ '#sk5'))
% 8.18/1.81 | ('#sk5' @ '#sk3' @ '#sk4'))),
% 8.18/1.81 inference('sup-', [status(thm)], [zip_derived_cl61, zip_derived_cl1698])).
% 8.18/1.81 thf(zip_derived_cl26, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')),
% 8.18/1.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 8.18/1.81 thf(zip_derived_cl1721, plain,
% 8.18/1.81 ( ('#sk5' @ ('#sk7' @ '#sk5') @ ('#sk8' @ '#sk5'))),
% 8.18/1.81 inference('demod', [status(thm)], [zip_derived_cl1718, zip_derived_cl26])).
% 8.18/1.81 thf(zip_derived_cl1806, plain, ($false),
% 8.18/1.81 inference('demod', [status(thm)],
% 8.18/1.81 [zip_derived_cl1803, zip_derived_cl1721])).
% 8.18/1.81
% 8.18/1.81 % SZS output end Refutation
% 8.18/1.81
% 8.18/1.81
% 8.18/1.81 % Terminating...
% 8.86/1.99 % Runner terminated.
% 8.86/2.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------