TSTP Solution File: GEG007^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEG007^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eJXE17sr30 true
% Computer : n004.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 : Wed Aug 30 22:42:14 EDT 2023
% Result : Theorem 7.05s 1.52s
% Output : Refutation 7.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEG007^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eJXE17sr30 true
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 00:55:37 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in HO mode
% 0.20/0.66 % Total configuration time : 828
% 0.20/0.66 % Estimated wc time : 1656
% 0.20/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.78 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.15/0.82 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.15/0.82 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.15/0.82 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 7.05/1.52 % Solved by lams/30_b.l.sh.
% 7.05/1.52 % done 146 iterations in 0.631s
% 7.05/1.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 7.05/1.52 % SZS output start Refutation
% 7.05/1.52 thf(reg_type, type, reg: $tType).
% 7.05/1.52 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 7.05/1.52 thf(paris_type, type, paris: reg).
% 7.05/1.52 thf(ntpp_type, type, ntpp: reg > reg > $o).
% 7.05/1.52 thf(a_type, type, a: $i > $i > $o).
% 7.05/1.52 thf(pp_type, type, pp: reg > reg > $o).
% 7.05/1.52 thf('#sk9_type', type, '#sk9': reg > reg).
% 7.05/1.52 thf(fool_type, type, fool: $i > $i > $o).
% 7.05/1.52 thf(eq_type, type, eq: reg > reg > $o).
% 7.05/1.52 thf(france_type, type, france: reg).
% 7.05/1.52 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 7.05/1.52 thf('#form10_type', type, '#form10': reg > $o).
% 7.05/1.52 thf('#sk23_type', type, '#sk23': ($i > $o) > $i > $i).
% 7.05/1.52 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 7.05/1.52 thf(ec_type, type, ec: reg > reg > $o).
% 7.05/1.52 thf(o_type, type, o: reg > reg > $o).
% 7.05/1.52 thf('#sk2_type', type, '#sk2': $i).
% 7.05/1.52 thf(c_type, type, c: reg > reg > $o).
% 7.05/1.52 thf('#sk1_type', type, '#sk1': $i).
% 7.05/1.52 thf('#sk6_type', type, '#sk6': reg > reg).
% 7.05/1.52 thf(p_type, type, p: reg > reg > $o).
% 7.05/1.52 thf(catalunya_type, type, catalunya: reg).
% 7.05/1.52 thf(spain_type, type, spain: reg).
% 7.05/1.52 thf(tpp_type, type, tpp: reg > reg > $o).
% 7.05/1.52 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 7.05/1.52 thf(mforall_prop_type, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
% 7.05/1.52 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 7.05/1.52 thf(ax2, axiom,
% 7.05/1.52 (mvalid @ ( mbox @ fool @ ( ^[X:$i]: ( ec @ spain @ france ) ) ))).
% 7.05/1.52 thf(zip_derived_cl6, plain,
% 7.05/1.52 ( (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france))))),
% 7.05/1.52 inference('cnf', [status(esa)], [ax2])).
% 7.05/1.52 thf(mvalid, axiom, (mvalid @ X0) =>
% 7.05/1.52 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
% 7.05/1.52 thf('0', plain,
% 7.05/1.52 (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [mvalid])).
% 7.05/1.52 thf(zip_derived_cl76, plain,
% 7.05/1.52 ( (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (mbox @ fool @ (^[Y1 : $i]: (ec @ spain @ france)) @ Y0))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl6, '0'])).
% 7.05/1.52 thf(zip_derived_cl77, plain,
% 7.05/1.52 (![X2 : $i]: (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)) @ X2)),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl76])).
% 7.05/1.52 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
% 7.05/1.52 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) =
% 7.05/1.52 ($true))).
% 7.05/1.52 thf('1', plain,
% 7.05/1.52 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 7.05/1.52 ( ( mbox @ X0 @ X1 @ X2 ) <=>
% 7.05/1.52 ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [mbox])).
% 7.05/1.52 thf(zip_derived_cl78, plain,
% 7.05/1.52 (![X0 : $i]:
% 7.05/1.52 (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (((((~) @ (fool @ X0 @ Y0))) |
% 7.05/1.52 ((^[Y1 : $i]: (ec @ spain @ france)) @ Y0))))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl77, '1'])).
% 7.05/1.52 thf(zip_derived_cl79, plain,
% 7.05/1.52 (![X0 : $i]:
% 7.05/1.52 (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (((((~) @ (fool @ X0 @ Y0))) | (ec @ spain @ france))))))),
% 7.05/1.52 inference('ho_norm', [status(thm)], [zip_derived_cl78])).
% 7.05/1.52 thf(zip_derived_cl80, plain,
% 7.05/1.52 (![X0 : $i, X2 : $i]:
% 7.05/1.52 (((((~) @ (fool @ X0 @ X2))) | (ec @ spain @ france)))),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl79])).
% 7.05/1.52 thf(zip_derived_cl81, plain,
% 7.05/1.52 (![X0 : $i, X2 : $i]: (~ (fool @ X0 @ X2) | (ec @ spain @ france))),
% 7.05/1.52 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl80])).
% 7.05/1.52 thf(ec, axiom, (ec @ X0 @ X1) =>
% 7.05/1.52 ((((((~) @ (o @ X0 @ X1))) & (c @ X0 @ X1))) = ($true))).
% 7.05/1.52 thf('2', plain,
% 7.05/1.52 (![X0:reg,X1:reg]:
% 7.05/1.52 ( ( ec @ X0 @ X1 ) <=> ( ( c @ X0 @ X1 ) & ( ~( o @ X0 @ X1 ) ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [ec])).
% 7.05/1.52 thf(zip_derived_cl82, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]:
% 7.05/1.52 ( (((((~) @ (o @ spain @ france))) & (c @ spain @ france)))
% 7.05/1.52 | ~ (fool @ X1 @ X0))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl81, '2'])).
% 7.05/1.52 thf(zip_derived_cl83, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]: (~ (o @ spain @ france) | ~ (fool @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl82])).
% 7.05/1.52 thf(o, axiom, ~ (o @ X0 @ X1) =>
% 7.05/1.52 ((((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ X1)))))) != ($true))).
% 7.05/1.52 thf('3', plain,
% 7.05/1.52 (![X0:reg,X1:reg]:
% 7.05/1.52 ( ( ~( o @ X0 @ X1 ) ) <=>
% 7.05/1.52 ( ~( ?[X6:reg]: ( ( p @ X6 @ X0 ) & ( p @ X6 @ X1 ) ) ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [o])).
% 7.05/1.52 thf(zip_derived_cl85, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]:
% 7.05/1.52 (~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ spain) & (p @ Y0 @ france))))))
% 7.05/1.52 | ~ (fool @ X1 @ X0))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl83, '3'])).
% 7.05/1.52 thf(zip_derived_cl86, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X3 : reg]:
% 7.05/1.52 (~ (((p @ X3 @ spain) & (p @ X3 @ france))) | ~ (fool @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl85])).
% 7.05/1.52 thf(zip_derived_cl87, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X3 : reg]:
% 7.05/1.52 (~ (p @ X3 @ spain) | ~ (p @ X3 @ france) | ~ (fool @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl86])).
% 7.05/1.52 thf(p, axiom, ~ (p @ X0 @ X1) =>
% 7.05/1.52 ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) != ($true))).
% 7.05/1.52 thf('4', plain,
% 7.05/1.52 (![X0:reg,X1:reg]:
% 7.05/1.52 ( ( ~( p @ X0 @ X1 ) ) <=>
% 7.05/1.52 ( ~( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [p])).
% 7.05/1.52 thf(zip_derived_cl88, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X2 : reg]:
% 7.05/1.52 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain))))))
% 7.05/1.52 | ~ (fool @ X1 @ X0)
% 7.05/1.52 | ~ (p @ X2 @ france))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl87, '4'])).
% 7.05/1.52 thf(zip_derived_cl89, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X2 : reg]:
% 7.05/1.52 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ france))))))
% 7.05/1.52 | ~ (fool @ X1 @ X0)
% 7.05/1.52 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl88, '4'])).
% 7.05/1.52 thf(zip_derived_cl90, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X2 : reg]:
% 7.05/1.52 (~ (((c @ ('#sk9' @ X2) @ X2) => (c @ ('#sk9' @ X2) @ france)))
% 7.05/1.52 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain))))))
% 7.05/1.52 | ~ (fool @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl89])).
% 7.05/1.52 thf(zip_derived_cl92, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X2 : reg]:
% 7.05/1.52 (~ (c @ ('#sk9' @ X2) @ france)
% 7.05/1.52 | ~ (fool @ X1 @ X0)
% 7.05/1.52 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
% 7.05/1.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl90])).
% 7.05/1.52 thf(zip_derived_cl91, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X2 : reg]:
% 7.05/1.52 ( (c @ ('#sk9' @ X2) @ X2)
% 7.05/1.52 | ~ (fool @ X1 @ X0)
% 7.05/1.52 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
% 7.05/1.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl90])).
% 7.05/1.52 thf(zip_derived_cl93, plain,
% 7.05/1.52 (![X2 : reg]:
% 7.05/1.52 ( ('#form10' @ X2)
% 7.05/1.52 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
% 7.05/1.52 define([status(thm)])).
% 7.05/1.52 thf(zip_derived_cl96, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X2 : reg]:
% 7.05/1.52 (~ ('#form10' @ X2)
% 7.05/1.52 | ~ (fool @ X1 @ X0)
% 7.05/1.52 | ~ (c @ ('#sk9' @ X2) @ france))),
% 7.05/1.52 inference('renaming', [status(thm)], [zip_derived_cl92, zip_derived_cl93])).
% 7.05/1.52 thf(t_axiom_for_fool, axiom,
% 7.05/1.52 (mvalid @
% 7.05/1.52 ( mforall_prop @
% 7.05/1.52 ( ^[A:( $i > $o )]: ( mimplies @ ( mbox @ fool @ A ) @ A ) ) ))).
% 7.05/1.52 thf(zip_derived_cl2, plain,
% 7.05/1.52 ( (mvalid @
% 7.05/1.52 (mforall_prop @
% 7.05/1.52 (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0))))),
% 7.05/1.52 inference('cnf', [status(esa)], [t_axiom_for_fool])).
% 7.05/1.52 thf(zip_derived_cl150, plain,
% 7.05/1.52 ( (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (mforall_prop @
% 7.05/1.52 (^[Y1 : $i > $o]: (mimplies @ (mbox @ fool @ Y1) @ Y1)) @
% 7.05/1.52 Y0))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl2, '0'])).
% 7.05/1.52 thf(zip_derived_cl151, plain,
% 7.05/1.52 (![X2 : $i]:
% 7.05/1.52 (mforall_prop @
% 7.05/1.52 (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)) @ X2)),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl150])).
% 7.05/1.52 thf(mforall_prop, axiom, (mforall_prop @ X0 @ X1) =>
% 7.05/1.52 ((((!!) @ (^[Y0 : $i > $o]: (X0 @ Y0 @ X1)))) = ($true))).
% 7.05/1.52 thf('5', plain,
% 7.05/1.52 (![X0:( ( $i > $o ) > $i > $o ),X1:$i]:
% 7.05/1.52 ( ( mforall_prop @ X0 @ X1 ) <=> ( ![X6:( $i > $o )]: ( X0 @ X6 @ X1 ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [mforall_prop])).
% 7.05/1.52 thf(zip_derived_cl152, plain,
% 7.05/1.52 (![X0 : $i]:
% 7.05/1.52 (((!!) @ (^[Y0 : $i > $o]:
% 7.05/1.52 ((^[Y1 : $i > $o]: (mimplies @ (mbox @ fool @ Y1) @ Y1)) @
% 7.05/1.52 Y0 @ X0))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl151, '5'])).
% 7.05/1.52 thf(zip_derived_cl153, plain,
% 7.05/1.52 (![X0 : $i]:
% 7.05/1.52 (((!!) @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0 @ X0))))),
% 7.05/1.52 inference('ho_norm', [status(thm)], [zip_derived_cl152])).
% 7.05/1.52 thf(zip_derived_cl154, plain,
% 7.05/1.52 (![X0 : $i, X2 : $i > $o]: (mimplies @ (mbox @ fool @ X2) @ X2 @ X0)),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl153])).
% 7.05/1.52 thf(mimplies, axiom,(( mimplies @ (X0)@ (X1)@ (X2)) =
% 7.05/1.52 ((mor @ (mnot @ X0) @ X1 @ X2)))).
% 7.05/1.52 thf('6', plain,
% 7.05/1.52 (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
% 7.05/1.52 ( ( mimplies @ X0 @ X1 @ X2 ) = ( mor @ ( mnot @ X0 ) @ X1 @ X2 ) )),
% 7.05/1.52 define([status(thm)])).
% 7.05/1.52 thf(zip_derived_cl155, plain,
% 7.05/1.52 (![X0 : $i, X2 : $i > $o]: (mor @ (mnot @ (mbox @ fool @ X2)) @ X2 @ X0)),
% 7.05/1.52 inference('rw', [status(thm)], [zip_derived_cl154, '6'])).
% 7.05/1.52 thf(mor, axiom, (mor @ X0 @ X1 @ X2) =>
% 7.05/1.52 ((((X1 @ X2) | (X0 @ X2))) = ($true))).
% 7.05/1.52 thf('7', plain,
% 7.05/1.52 (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
% 7.05/1.52 ( ( mor @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) | ( X1 @ X2 ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [mor])).
% 7.05/1.52 thf(zip_derived_cl156, plain,
% 7.05/1.52 (![X0 : $i > $o, X1 : $i]:
% 7.05/1.52 (((X0 @ X1) | (mnot @ (mbox @ fool @ X0) @ X1)))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl155, '7'])).
% 7.05/1.52 thf(zip_derived_cl157, plain,
% 7.05/1.52 (![X0 : $i > $o, X1 : $i]:
% 7.05/1.52 ( (X0 @ X1) | (mnot @ (mbox @ fool @ X0) @ X1))),
% 7.05/1.52 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl156])).
% 7.05/1.52 thf(mnot, axiom, (mnot @ X0 @ X1) => ((X0 @ X1) != ($true))).
% 7.05/1.52 thf('8', plain,
% 7.05/1.52 (![X0:( $i > $o ),X1:$i]: ( ( mnot @ X0 @ X1 ) <=> ( ~( X0 @ X1 ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [mnot])).
% 7.05/1.52 thf(zip_derived_cl158, plain,
% 7.05/1.52 (![X0 : $i > $o, X1 : $i]: (~ (mbox @ fool @ X0 @ X1) | (X0 @ X1))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl157, '8'])).
% 7.05/1.52 thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
% 7.05/1.52 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) !=
% 7.05/1.52 ($true))).
% 7.05/1.52 thf('9', plain,
% 7.05/1.52 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 7.05/1.52 ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
% 7.05/1.52 ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [mbox])).
% 7.05/1.52 thf(zip_derived_cl159, plain,
% 7.05/1.52 (![X0 : $i > $o, X1 : $i]:
% 7.05/1.52 (~ (((!!) @ (^[Y0 : $i]: (((((~) @ (fool @ X1 @ Y0))) | (X0 @ Y0))))))
% 7.05/1.52 | (X0 @ X1))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl158, '9'])).
% 7.05/1.52 thf(zip_derived_cl160, plain,
% 7.05/1.52 (![X0 : $i > $o, X1 : $i]:
% 7.05/1.52 (~ (((((~) @ (fool @ X1 @ ('#sk23' @ X0 @ X1)))) | (X0 @
% 7.05/1.52 ('#sk23' @ X0 @ X1))))
% 7.05/1.52 | (X0 @ X1))),
% 7.05/1.52 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl159])).
% 7.05/1.52 thf(zip_derived_cl162, plain,
% 7.05/1.52 (![X0 : $i > $o, X1 : $i]: (~ (X0 @ ('#sk23' @ X0 @ X1)) | (X0 @ X1))),
% 7.05/1.52 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl160])).
% 7.05/1.52 thf(zip_derived_cl262, plain,
% 7.05/1.52 (![X0 : $i]:
% 7.05/1.52 (~ ((^[Y0 : $i]: (((X0) != (Y0)))) @
% 7.05/1.52 ('#sk23' @ (^[Y0 : $i]: (((X0) != (Y0)))) @ X0))
% 7.05/1.52 | ((^[Y0 : $i]: (((X0) != (Y0)))) @ X0))),
% 7.05/1.52 inference('elim_leibniz_eq_+', [status(thm)], [zip_derived_cl162])).
% 7.05/1.52 thf(zip_derived_cl272, plain,
% 7.05/1.52 (![X0 : $i]:
% 7.05/1.52 (~ (((X0) != ('#sk23' @ ((($i) != (X0))) @ X0))) | (((X0) != (X0))))),
% 7.05/1.52 inference('ho_norm', [status(thm)], [zip_derived_cl262])).
% 7.05/1.52 thf(zip_derived_cl273, plain,
% 7.05/1.52 (![X0 : $i]: ~ (((X0) != ('#sk23' @ ((($i) != (X0))) @ X0)))),
% 7.05/1.52 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl272])).
% 7.05/1.52 thf(zip_derived_cl274, plain,
% 7.05/1.52 (![X0 : $i]: ((X0) = ('#sk23' @ ((($i) != (X0))) @ X0))),
% 7.05/1.52 inference('simplify nested equalities', [status(thm)],
% 7.05/1.52 [zip_derived_cl273])).
% 7.05/1.52 thf(zip_derived_cl161, plain,
% 7.05/1.52 (![X0 : $i > $o, X1 : $i]:
% 7.05/1.52 ( (fool @ X1 @ ('#sk23' @ X0 @ X1)) | (X0 @ X1))),
% 7.05/1.52 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl160])).
% 7.05/1.52 thf(zip_derived_cl1789, plain,
% 7.05/1.52 (![X0 : $i]: ( (fool @ X0 @ X0) | (((X0) != (X0))))),
% 7.05/1.52 inference('sup+', [status(thm)], [zip_derived_cl274, zip_derived_cl161])).
% 7.05/1.52 thf(zip_derived_cl1825, plain, (![X0 : $i]: (fool @ X0 @ X0)),
% 7.05/1.52 inference('simplify boolean subterms', [status(thm)],
% 7.05/1.52 [zip_derived_cl1789])).
% 7.05/1.52 thf(zip_derived_cl91, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X2 : reg]:
% 7.05/1.52 ( (c @ ('#sk9' @ X2) @ X2)
% 7.05/1.52 | ~ (fool @ X1 @ X0)
% 7.05/1.52 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
% 7.05/1.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl90])).
% 7.05/1.52 thf(zip_derived_cl93, plain,
% 7.05/1.52 (![X2 : reg]:
% 7.05/1.52 ( ('#form10' @ X2)
% 7.05/1.52 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
% 7.05/1.52 define([status(thm)])).
% 7.05/1.52 thf(zip_derived_cl95, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X2 : reg]:
% 7.05/1.52 (~ ('#form10' @ X2) | ~ (fool @ X1 @ X0) | (c @ ('#sk9' @ X2) @ X2))),
% 7.05/1.52 inference('renaming', [status(thm)], [zip_derived_cl91, zip_derived_cl93])).
% 7.05/1.52 thf(ax3, axiom,
% 7.05/1.52 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( ntpp @ paris @ france ) ) ))).
% 7.05/1.52 thf(zip_derived_cl7, plain,
% 7.05/1.52 ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france))))),
% 7.05/1.52 inference('cnf', [status(esa)], [ax3])).
% 7.05/1.52 thf(zip_derived_cl99, plain,
% 7.05/1.52 ( (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (mbox @ a @ (^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl7, '0'])).
% 7.05/1.52 thf(zip_derived_cl100, plain,
% 7.05/1.52 (![X2 : $i]: (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)) @ X2)),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl99])).
% 7.05/1.52 thf(zip_derived_cl101, plain,
% 7.05/1.52 (![X0 : $i]:
% 7.05/1.52 (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (((((~) @ (a @ X0 @ Y0))) |
% 7.05/1.52 ((^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl100, '1'])).
% 7.05/1.52 thf(zip_derived_cl102, plain,
% 7.05/1.52 (![X0 : $i]:
% 7.05/1.52 (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (((((~) @ (a @ X0 @ Y0))) | (ntpp @ paris @ france))))))),
% 7.05/1.52 inference('ho_norm', [status(thm)], [zip_derived_cl101])).
% 7.05/1.52 thf(zip_derived_cl103, plain,
% 7.05/1.52 (![X0 : $i, X2 : $i]:
% 7.05/1.52 (((((~) @ (a @ X0 @ X2))) | (ntpp @ paris @ france)))),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl102])).
% 7.05/1.52 thf(zip_derived_cl104, plain,
% 7.05/1.52 (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) | (ntpp @ paris @ france))),
% 7.05/1.52 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl103])).
% 7.05/1.52 thf(ntpp, axiom, (ntpp @ X0 @ X1) =>
% 7.05/1.52 ((((((~) @ (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))))) &
% 7.05/1.52 (pp @ X0 @ X1)))
% 7.05/1.52 = ($true))).
% 7.05/1.52 thf('10', plain,
% 7.05/1.52 (![X0:reg,X1:reg]:
% 7.05/1.52 ( ( ntpp @ X0 @ X1 ) <=>
% 7.05/1.52 ( ( pp @ X0 @ X1 ) &
% 7.05/1.52 ( ~( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [ntpp])).
% 7.05/1.52 thf(zip_derived_cl105, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]:
% 7.05/1.52 ( (((((~) @ (((??) @ (^[Y0 : reg]:
% 7.05/1.52 (((ec @ Y0 @ paris) & (ec @ Y0 @ france)))))))) &
% 7.05/1.52 (pp @ paris @ france)))
% 7.05/1.52 | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl104, '10'])).
% 7.05/1.52 thf(zip_derived_cl107, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]: ( (pp @ paris @ france) | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl105])).
% 7.05/1.52 thf(pp, axiom, (pp @ X0 @ X1) =>
% 7.05/1.52 ((((((~) @ (p @ X1 @ X0))) & (p @ X0 @ X1))) = ($true))).
% 7.05/1.52 thf('11', plain,
% 7.05/1.52 (![X0:reg,X1:reg]:
% 7.05/1.52 ( ( pp @ X0 @ X1 ) <=> ( ( p @ X0 @ X1 ) & ( ~( p @ X1 @ X0 ) ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [pp])).
% 7.05/1.52 thf(zip_derived_cl109, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]:
% 7.05/1.52 ( (((((~) @ (p @ france @ paris))) & (p @ paris @ france)))
% 7.05/1.52 | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl107, '11'])).
% 7.05/1.52 thf(zip_derived_cl112, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]: ( (p @ paris @ france) | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl109])).
% 7.05/1.52 thf(p, axiom, (p @ X0 @ X1) =>
% 7.05/1.52 ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) = ($true))).
% 7.05/1.52 thf('12', plain,
% 7.05/1.52 (![X0:reg,X1:reg]:
% 7.05/1.52 ( ( p @ X0 @ X1 ) <=>
% 7.05/1.52 ( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [p])).
% 7.05/1.52 thf(zip_derived_cl115, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]:
% 7.05/1.52 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ france))))))
% 7.05/1.52 | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl112, '12'])).
% 7.05/1.52 thf(zip_derived_cl118, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X3 : reg]:
% 7.05/1.52 ( (((c @ X3 @ paris) => (c @ X3 @ france))) | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl115])).
% 7.05/1.52 thf(zip_derived_cl122, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X3 : reg]:
% 7.05/1.52 (~ (c @ X3 @ paris) | (c @ X3 @ france) | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl118])).
% 7.05/1.52 thf(con, conjecture,
% 7.05/1.52 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( ~( eq @ catalunya @ paris ) ) ) ))).
% 7.05/1.52 thf(zf_stmt_0, negated_conjecture,
% 7.05/1.52 (~( mvalid @ ( mbox @ a @ ( ^[X:$i]: ( ~( eq @ catalunya @ paris ) ) ) ) )),
% 7.05/1.52 inference('cnf.neg', [status(esa)], [con])).
% 7.05/1.52 thf(zip_derived_cl8, plain,
% 7.05/1.52 (~ (mvalid @
% 7.05/1.52 (mbox @ a @ (^[Y0 : $i]: (((~) @ (eq @ catalunya @ paris))))))),
% 7.05/1.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.05/1.52 thf(mvalid, axiom, ~ (mvalid @ X0) =>
% 7.05/1.52 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))).
% 7.05/1.52 thf('13', plain,
% 7.05/1.52 (![X0:( $i > $o )]:
% 7.05/1.52 ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [mvalid])).
% 7.05/1.52 thf(zip_derived_cl9, plain,
% 7.05/1.52 (~ (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (mbox @ a @
% 7.05/1.52 (^[Y1 : $i]: (((~) @ (eq @ catalunya @ paris)))) @ Y0))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl8, '13'])).
% 7.05/1.52 thf(zip_derived_cl10, plain,
% 7.05/1.52 (~ (mbox @ a @ (^[Y0 : $i]: (((~) @ (eq @ catalunya @ paris)))) @ '#sk1')),
% 7.05/1.52 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 7.05/1.52 thf(zip_derived_cl11, plain,
% 7.05/1.52 (~ (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (((((~) @ (a @ '#sk1' @ Y0))) |
% 7.05/1.52 ((^[Y1 : $i]: (((~) @ (eq @ catalunya @ paris)))) @ Y0))))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl10, '9'])).
% 7.05/1.52 thf(zip_derived_cl12, plain,
% 7.05/1.52 (~ (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (((((~) @ (a @ '#sk1' @ Y0))) |
% 7.05/1.52 (((~) @ (eq @ catalunya @ paris))))))))),
% 7.05/1.52 inference('ho_norm', [status(thm)], [zip_derived_cl11])).
% 7.05/1.52 thf(zip_derived_cl13, plain,
% 7.05/1.52 (~ (((((~) @ (a @ '#sk1' @ '#sk2'))) | (((~) @ (eq @ catalunya @ paris)))))),
% 7.05/1.52 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])).
% 7.05/1.52 thf(zip_derived_cl14, plain, ( (a @ '#sk1' @ '#sk2')),
% 7.05/1.52 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
% 7.05/1.52 thf(zip_derived_cl1460, plain,
% 7.05/1.52 (![X0 : reg]: ( (c @ X0 @ france) | ~ (c @ X0 @ paris))),
% 7.05/1.52 inference('sup+', [status(thm)], [zip_derived_cl122, zip_derived_cl14])).
% 7.05/1.52 thf(zip_derived_cl1526, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]:
% 7.05/1.52 (~ (fool @ X1 @ X0)
% 7.05/1.52 | ~ ('#form10' @ paris)
% 7.05/1.52 | (c @ ('#sk9' @ paris) @ france))),
% 7.05/1.52 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl1460])).
% 7.05/1.52 thf(zip_derived_cl93, plain,
% 7.05/1.52 (![X2 : reg]:
% 7.05/1.52 ( ('#form10' @ X2)
% 7.05/1.52 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
% 7.05/1.52 define([status(thm)])).
% 7.05/1.52 thf(zip_derived_cl94, plain,
% 7.05/1.52 (![X2 : reg]:
% 7.05/1.52 (~ (((c @ ('#sk6' @ X2) @ X2) => (c @ ('#sk6' @ X2) @ spain)))
% 7.05/1.52 | ('#form10' @ X2))),
% 7.05/1.52 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl93])).
% 7.05/1.52 thf(zip_derived_cl97, plain,
% 7.05/1.52 (![X2 : reg]: ( (c @ ('#sk6' @ X2) @ X2) | ('#form10' @ X2))),
% 7.05/1.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl94])).
% 7.05/1.52 thf(zip_derived_cl15, plain, ( (eq @ catalunya @ paris)),
% 7.05/1.52 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
% 7.05/1.52 thf(eq, axiom, (eq @ X0 @ X1) =>
% 7.05/1.52 ((((p @ X1 @ X0) & (p @ X0 @ X1))) = ($true))).
% 7.05/1.52 thf('14', plain,
% 7.05/1.52 (![X0:reg,X1:reg]:
% 7.05/1.52 ( ( eq @ X0 @ X1 ) <=> ( ( p @ X0 @ X1 ) & ( p @ X1 @ X0 ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [eq])).
% 7.05/1.52 thf(zip_derived_cl16, plain,
% 7.05/1.52 ( (((p @ paris @ catalunya) & (p @ catalunya @ paris)))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl15, '14'])).
% 7.05/1.52 thf(zip_derived_cl17, plain, ( (p @ paris @ catalunya)),
% 7.05/1.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])).
% 7.05/1.52 thf(zip_derived_cl19, plain,
% 7.05/1.52 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ catalunya))))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl17, '12'])).
% 7.05/1.52 thf(zip_derived_cl21, plain,
% 7.05/1.52 (![X2 : reg]: (((c @ X2 @ paris) => (c @ X2 @ catalunya)))),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])).
% 7.05/1.52 thf(zip_derived_cl23, plain,
% 7.05/1.52 (![X2 : reg]: (~ (c @ X2 @ paris) | (c @ X2 @ catalunya))),
% 7.05/1.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])).
% 7.05/1.52 thf(zip_derived_cl1302, plain,
% 7.05/1.52 (( ('#form10' @ paris) | (c @ ('#sk6' @ paris) @ catalunya))),
% 7.05/1.52 inference('sup-', [status(thm)], [zip_derived_cl97, zip_derived_cl23])).
% 7.05/1.52 thf(zip_derived_cl98, plain,
% 7.05/1.52 (![X2 : reg]: (~ (c @ ('#sk6' @ X2) @ spain) | ('#form10' @ X2))),
% 7.05/1.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl94])).
% 7.05/1.52 thf(ax1, axiom,
% 7.05/1.52 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( tpp @ catalunya @ spain ) ) ))).
% 7.05/1.52 thf(zip_derived_cl5, plain,
% 7.05/1.52 ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain))))),
% 7.05/1.52 inference('cnf', [status(esa)], [ax1])).
% 7.05/1.52 thf(zip_derived_cl26, plain,
% 7.05/1.52 ( (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (mbox @ a @ (^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl5, '0'])).
% 7.05/1.52 thf(zip_derived_cl27, plain,
% 7.05/1.52 (![X2 : $i]: (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)) @ X2)),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl26])).
% 7.05/1.52 thf(zip_derived_cl28, plain,
% 7.05/1.52 (![X0 : $i]:
% 7.05/1.52 (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (((((~) @ (a @ X0 @ Y0))) |
% 7.05/1.52 ((^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl27, '1'])).
% 7.05/1.52 thf(zip_derived_cl29, plain,
% 7.05/1.52 (![X0 : $i]:
% 7.05/1.52 (((!!) @ (^[Y0 : $i]:
% 7.05/1.52 (((((~) @ (a @ X0 @ Y0))) | (tpp @ catalunya @ spain))))))),
% 7.05/1.52 inference('ho_norm', [status(thm)], [zip_derived_cl28])).
% 7.05/1.52 thf(zip_derived_cl30, plain,
% 7.05/1.52 (![X0 : $i, X2 : $i]:
% 7.05/1.52 (((((~) @ (a @ X0 @ X2))) | (tpp @ catalunya @ spain)))),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])).
% 7.05/1.52 thf(zip_derived_cl31, plain,
% 7.05/1.52 (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) | (tpp @ catalunya @ spain))),
% 7.05/1.52 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl30])).
% 7.05/1.52 thf(tpp, axiom, (tpp @ X0 @ X1) =>
% 7.05/1.52 ((((((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))) & (pp @
% 7.05/1.52 X0 @ X1)))
% 7.05/1.52 = ($true))).
% 7.05/1.52 thf('15', plain,
% 7.05/1.52 (![X0:reg,X1:reg]:
% 7.05/1.52 ( ( tpp @ X0 @ X1 ) <=>
% 7.05/1.52 ( ( pp @ X0 @ X1 ) &
% 7.05/1.52 ( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) )),
% 7.05/1.52 inference('rw.lit', [status(esa)], [tpp])).
% 7.05/1.52 thf(zip_derived_cl32, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]:
% 7.05/1.52 ( (((((??) @ (^[Y0 : reg]:
% 7.05/1.52 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ spain)))))) &
% 7.05/1.52 (pp @ catalunya @ spain)))
% 7.05/1.52 | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl31, '15'])).
% 7.05/1.52 thf(zip_derived_cl34, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]: ( (pp @ catalunya @ spain) | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl32])).
% 7.05/1.52 thf(zip_derived_cl36, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]:
% 7.05/1.52 ( (((((~) @ (p @ spain @ catalunya))) & (p @ catalunya @ spain)))
% 7.05/1.52 | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl34, '11'])).
% 7.05/1.52 thf(zip_derived_cl40, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]: ( (p @ catalunya @ spain) | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl36])).
% 7.05/1.52 thf(zip_derived_cl44, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]:
% 7.05/1.52 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))
% 7.05/1.52 | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('rw_clause', [status(thm)], [zip_derived_cl40, '12'])).
% 7.05/1.52 thf(zip_derived_cl50, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X3 : reg]:
% 7.05/1.52 ( (((c @ X3 @ catalunya) => (c @ X3 @ spain))) | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl44])).
% 7.05/1.52 thf(zip_derived_cl55, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i, X3 : reg]:
% 7.05/1.52 (~ (c @ X3 @ catalunya) | (c @ X3 @ spain) | ~ (a @ X1 @ X0))),
% 7.05/1.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl50])).
% 7.05/1.52 thf(zip_derived_cl14, plain, ( (a @ '#sk1' @ '#sk2')),
% 7.05/1.52 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
% 7.05/1.52 thf(zip_derived_cl372, plain,
% 7.05/1.52 (![X0 : reg]: ( (c @ X0 @ spain) | ~ (c @ X0 @ catalunya))),
% 7.05/1.52 inference('sup+', [status(thm)], [zip_derived_cl55, zip_derived_cl14])).
% 7.05/1.52 thf(zip_derived_cl925, plain,
% 7.05/1.52 (![X0 : reg]: ( ('#form10' @ X0) | ~ (c @ ('#sk6' @ X0) @ catalunya))),
% 7.05/1.52 inference('sup+', [status(thm)], [zip_derived_cl98, zip_derived_cl372])).
% 7.05/1.52 thf(zip_derived_cl1438, plain, ( ('#form10' @ paris)),
% 7.05/1.52 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl925])).
% 7.05/1.52 thf(zip_derived_cl1550, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]:
% 7.05/1.52 (~ (fool @ X1 @ X0) | (c @ ('#sk9' @ paris) @ france))),
% 7.05/1.52 inference('demod', [status(thm)],
% 7.05/1.52 [zip_derived_cl1526, zip_derived_cl1438])).
% 7.05/1.52 thf(zip_derived_cl2081, plain, ( (c @ ('#sk9' @ paris) @ france)),
% 7.05/1.52 inference('sup-', [status(thm)], [zip_derived_cl1825, zip_derived_cl1550])).
% 7.05/1.52 thf(zip_derived_cl2142, plain,
% 7.05/1.52 (![X0 : $i, X1 : $i]: (~ (fool @ X1 @ X0) | ~ ('#form10' @ paris))),
% 7.05/1.52 inference('sup+', [status(thm)], [zip_derived_cl96, zip_derived_cl2081])).
% 7.05/1.52 thf(zip_derived_cl1438, plain, ( ('#form10' @ paris)),
% 7.05/1.52 inference('clc', [status(thm)], [zip_derived_cl1302, zip_derived_cl925])).
% 7.05/1.52 thf(zip_derived_cl2148, plain, (![X0 : $i, X1 : $i]: ~ (fool @ X1 @ X0)),
% 7.05/1.52 inference('demod', [status(thm)],
% 7.05/1.52 [zip_derived_cl2142, zip_derived_cl1438])).
% 7.05/1.52 thf(zip_derived_cl1825, plain, (![X0 : $i]: (fool @ X0 @ X0)),
% 7.05/1.52 inference('simplify boolean subterms', [status(thm)],
% 7.05/1.52 [zip_derived_cl1789])).
% 7.05/1.52 thf(zip_derived_cl2289, plain, ($false),
% 7.05/1.52 inference('sup+', [status(thm)], [zip_derived_cl2148, zip_derived_cl1825])).
% 7.05/1.52
% 7.05/1.52 % SZS output end Refutation
% 7.05/1.52
% 7.05/1.52
% 7.05/1.52 % Terminating...
% 7.05/1.59 % Runner terminated.
% 7.05/1.60 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------