0.00/0.10	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.11	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Yt9FTZUrLF true
0.11/0.32	% Computer : n020.cluster.edu
0.11/0.32	% Model    : x86_64 x86_64
0.11/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory   : 8042.1875MB
0.11/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit : 960
0.11/0.32	% WCLimit  : 120
0.11/0.32	% DateTime : Tue Aug  9 06:16:20 EDT 2022
0.11/0.32	% CPUTime  : 
0.11/0.32	% Running portfolio for 960 s
0.11/0.32	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.11/0.32	% Number of cores: 8
0.11/0.32	% Python version: Python 3.6.8
0.11/0.32	% Running in HO mode
0.64/0.61	% Total configuration time : 828
0.64/0.61	% Estimated wc time : 1656
0.64/0.61	% Estimated cpu time (8 cpus) : 207.0
0.83/0.69	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.83/0.69	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.83/0.69	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.83/0.69	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.83/0.69	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.83/0.69	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.83/0.70	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.83/0.70	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
1.15/0.74	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
1.15/0.76	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
25.72/3.83	% Solved by lams/30_b.l.sh.
25.72/3.83	% done 399 iterations in 3.038s
25.72/3.83	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
25.72/3.83	% SZS output start Refutation
25.72/3.83	thf(reg_type, type, reg: $tType).
25.72/3.83	thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
25.72/3.83	thf('#sk7_type', type, '#sk7': reg > reg).
25.72/3.83	thf(spain_type, type, spain: reg).
25.72/3.83	thf(tpp_type, type, tpp: reg > reg > $o).
25.72/3.83	thf(paris_type, type, paris: reg).
25.72/3.83	thf('#sk5_type', type, '#sk5': reg > reg).
25.72/3.83	thf(ec_type, type, ec: reg > reg > $o).
25.72/3.83	thf(a_type, type, a: $i > $i > $o).
25.72/3.83	thf(p_type, type, p: reg > reg > $o).
25.72/3.83	thf(fool_type, type, fool: $i > $i > $o).
25.72/3.83	thf(catalunya_type, type, catalunya: reg).
25.72/3.83	thf(mvalid_type, type, mvalid: ($i > $o) > $o).
25.72/3.83	thf(o_type, type, o: reg > reg > $o).
25.72/3.83	thf(mforall_prop_type, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
25.72/3.83	thf('#sk21_type', type, '#sk21': ($i > $o) > $i > $i).
25.72/3.83	thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
25.72/3.83	thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
25.72/3.83	thf(c_type, type, c: reg > reg > $o).
25.72/3.83	thf('#form6_type', type, '#form6': reg > $o).
25.72/3.83	thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
25.72/3.83	thf('#sk53_type', type, '#sk53': reg).
25.72/3.83	thf('#sk52_type', type, '#sk52': $i).
25.72/3.83	thf('#sk51_type', type, '#sk51': $i).
25.72/3.83	thf(france_type, type, france: reg).
25.72/3.83	thf(pp_type, type, pp: reg > reg > $o).
25.72/3.83	thf(ntpp_type, type, ntpp: reg > reg > $o).
25.72/3.83	thf(ax1, axiom,
25.72/3.83	  (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( tpp @ catalunya @ spain ) ) ))).
25.72/3.83	thf(zip_derived_cl7, plain,
25.72/3.83	    ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain))))),
25.72/3.83	    inference('cnf', [status(esa)], [ax1])).
25.72/3.83	thf(mvalid, axiom, (mvalid @ X0) =>
25.72/3.83	  ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
25.72/3.83	thf('0', plain,
25.72/3.83	    (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [mvalid])).
25.72/3.83	thf(zip_derived_cl84, plain,
25.72/3.83	    ( (((!!) @ (^[Y0 : $i]:
25.72/3.83	                  (mbox @ a @ (^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl7, '0'])).
25.72/3.83	thf(zip_derived_cl85, plain,
25.72/3.83	    (![X2 : $i]:  (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)) @ X2)),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl84])).
25.72/3.83	thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
25.72/3.83	  ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) =
25.72/3.83	   ($true))).
25.72/3.83	thf('1', plain,
25.72/3.83	    (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
25.72/3.83	     ( ( mbox @ X0 @ X1 @ X2 ) <=>
25.72/3.83	       ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [mbox])).
25.72/3.83	thf(zip_derived_cl86, plain,
25.72/3.83	    (![X0 : $i]:
25.72/3.83	        (((!!) @ (^[Y0 : $i]:
25.72/3.83	                    (((((~) @ (a @ X0 @ Y0))) |
25.72/3.83	                      ((^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl85, '1'])).
25.72/3.83	thf(zip_derived_cl87, plain,
25.72/3.83	    (![X0 : $i]:
25.72/3.83	        (((!!) @ (^[Y0 : $i]:
25.72/3.83	                    (((((~) @ (a @ X0 @ Y0))) | (tpp @ catalunya @ spain))))))),
25.72/3.83	    inference('ho_norm', [status(thm)], [zip_derived_cl86])).
25.72/3.83	thf(zip_derived_cl88, plain,
25.72/3.83	    (![X0 : $i, X2 : $i]:
25.72/3.83	        (((((~) @ (a @ X0 @ X2))) | (tpp @ catalunya @ spain)))),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl87])).
25.72/3.83	thf(zip_derived_cl89, plain,
25.72/3.83	    (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) |  (tpp @ catalunya @ spain))),
25.72/3.83	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl88])).
25.72/3.83	thf(tpp, axiom, (tpp @ X0 @ X1) =>
25.72/3.83	  ((((((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))) & (pp @ 
25.72/3.83	     X0 @ X1)))
25.72/3.83	   = ($true))).
25.72/3.83	thf('2', plain,
25.72/3.83	    (![X0:reg,X1:reg]:
25.72/3.83	     ( ( tpp @ X0 @ X1 ) <=>
25.72/3.83	       ( ( pp @ X0 @ X1 ) & 
25.72/3.83	         ( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [tpp])).
25.72/3.83	thf(zip_derived_cl90, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]:
25.72/3.83	       ( (((((??) @ (^[Y0 : reg]:
25.72/3.83	                       (((ec @ Y0 @ catalunya) & (ec @ Y0 @ spain)))))) &
25.72/3.83	           (pp @ catalunya @ spain)))
25.72/3.83	        | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl89, '2'])).
25.72/3.83	thf(zip_derived_cl92, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]: ( (pp @ catalunya @ spain) | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl90])).
25.72/3.83	thf(pp, axiom, (pp @ X0 @ X1) =>
25.72/3.83	  ((((((~) @ (p @ X1 @ X0))) & (p @ X0 @ X1))) = ($true))).
25.72/3.83	thf('3', plain,
25.72/3.83	    (![X0:reg,X1:reg]:
25.72/3.83	     ( ( pp @ X0 @ X1 ) <=> ( ( p @ X0 @ X1 ) & ( ~( p @ X1 @ X0 ) ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [pp])).
25.72/3.83	thf(zip_derived_cl94, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]:
25.72/3.83	       ( (((((~) @ (p @ spain @ catalunya))) & (p @ catalunya @ spain)))
25.72/3.83	        | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl92, '3'])).
25.72/3.83	thf(zip_derived_cl98, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]: ( (p @ catalunya @ spain) | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl94])).
25.72/3.83	thf(p, axiom, (p @ X0 @ X1) =>
25.72/3.83	  ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) = ($true))).
25.72/3.83	thf('4', plain,
25.72/3.83	    (![X0:reg,X1:reg]:
25.72/3.83	     ( ( p @ X0 @ X1 ) <=>
25.72/3.83	       ( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [p])).
25.72/3.83	thf(zip_derived_cl102, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]:
25.72/3.83	       ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))
25.72/3.83	        | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl98, '4'])).
25.72/3.83	thf(zip_derived_cl108, plain,
25.72/3.83	    (![X2 : reg]:
25.72/3.83	       (~ ('#form6' @ X2)
25.72/3.83	        |  (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
25.72/3.83	    define([status(thm)])).
25.72/3.83	thf(zip_derived_cl109, plain,
25.72/3.83	    (![X2 : reg, X4 : reg]:
25.72/3.83	       ( (((c @ X4 @ X2) => (c @ X4 @ spain))) | ~ ('#form6' @ X2))),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl108])).
25.72/3.83	thf(zip_derived_cl115, plain,
25.72/3.83	    (![X2 : reg, X4 : reg]:
25.72/3.83	       (~ (c @ X4 @ X2) |  (c @ X4 @ spain) | ~ ('#form6' @ X2))),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl109])).
25.72/3.83	thf(ax2, axiom,
25.72/3.83	  (mvalid @ ( mbox @ fool @ ( ^[X:$i]: ( ec @ spain @ france ) ) ))).
25.72/3.83	thf(zip_derived_cl6, plain,
25.72/3.83	    ( (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france))))),
25.72/3.83	    inference('cnf', [status(esa)], [ax2])).
25.72/3.83	thf(zip_derived_cl61, plain,
25.72/3.83	    ( (((!!) @ (^[Y0 : $i]:
25.72/3.83	                  (mbox @ fool @ (^[Y1 : $i]: (ec @ spain @ france)) @ Y0))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl6, '0'])).
25.72/3.83	thf(zip_derived_cl62, plain,
25.72/3.83	    (![X2 : $i]:  (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)) @ X2)),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl61])).
25.72/3.83	thf(zip_derived_cl63, plain,
25.72/3.83	    (![X0 : $i]:
25.72/3.83	        (((!!) @ (^[Y0 : $i]:
25.72/3.83	                    (((((~) @ (fool @ X0 @ Y0))) |
25.72/3.83	                      ((^[Y1 : $i]: (ec @ spain @ france)) @ Y0))))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl62, '1'])).
25.72/3.83	thf(zip_derived_cl64, plain,
25.72/3.83	    (![X0 : $i]:
25.72/3.83	        (((!!) @ (^[Y0 : $i]:
25.72/3.83	                    (((((~) @ (fool @ X0 @ Y0))) | (ec @ spain @ france))))))),
25.72/3.83	    inference('ho_norm', [status(thm)], [zip_derived_cl63])).
25.72/3.83	thf(zip_derived_cl65, plain,
25.72/3.83	    (![X0 : $i, X2 : $i]:
25.72/3.83	        (((((~) @ (fool @ X0 @ X2))) | (ec @ spain @ france)))),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl64])).
25.72/3.83	thf(zip_derived_cl66, plain,
25.72/3.83	    (![X0 : $i, X2 : $i]: (~ (fool @ X0 @ X2) |  (ec @ spain @ france))),
25.72/3.83	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl65])).
25.72/3.83	thf(ec, axiom, (ec @ X0 @ X1) =>
25.72/3.83	  ((((((~) @ (o @ X0 @ X1))) & (c @ X0 @ X1))) = ($true))).
25.72/3.83	thf('5', plain,
25.72/3.83	    (![X0:reg,X1:reg]:
25.72/3.83	     ( ( ec @ X0 @ X1 ) <=> ( ( c @ X0 @ X1 ) & ( ~( o @ X0 @ X1 ) ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [ec])).
25.72/3.83	thf(zip_derived_cl67, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]:
25.72/3.83	       ( (((((~) @ (o @ spain @ france))) & (c @ spain @ france)))
25.72/3.83	        | ~ (fool @ X1 @ X0))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl66, '5'])).
25.72/3.83	thf(zip_derived_cl68, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]: (~ (o @ spain @ france) | ~ (fool @ X1 @ X0))),
25.72/3.83	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl67])).
25.72/3.83	thf(o, axiom, ~ (o @ X0 @ X1) =>
25.72/3.83	  ((((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ X1)))))) != ($true))).
25.72/3.83	thf('6', plain,
25.72/3.83	    (![X0:reg,X1:reg]:
25.72/3.83	     ( ( ~( o @ X0 @ X1 ) ) <=>
25.72/3.83	       ( ~( ?[X6:reg]: ( ( p @ X6 @ X0 ) & ( p @ X6 @ X1 ) ) ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [o])).
25.72/3.83	thf(zip_derived_cl70, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]:
25.72/3.83	       (~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ spain) & (p @ Y0 @ france))))))
25.72/3.83	        | ~ (fool @ X1 @ X0))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl68, '6'])).
25.72/3.83	thf(zip_derived_cl71, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X3 : reg]:
25.72/3.83	       (~ (((p @ X3 @ spain) & (p @ X3 @ france))) | ~ (fool @ X1 @ X0))),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl70])).
25.72/3.83	thf(zip_derived_cl72, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X3 : reg]:
25.72/3.83	       (~ (p @ X3 @ spain) | ~ (p @ X3 @ france) | ~ (fool @ X1 @ X0))),
25.72/3.83	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl71])).
25.72/3.83	thf(p, axiom, ~ (p @ X0 @ X1) =>
25.72/3.83	  ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) != ($true))).
25.72/3.83	thf('7', plain,
25.72/3.83	    (![X0:reg,X1:reg]:
25.72/3.83	     ( ( ~( p @ X0 @ X1 ) ) <=>
25.72/3.83	       ( ~( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [p])).
25.72/3.83	thf(zip_derived_cl73, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X2 : reg]:
25.72/3.83	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain))))))
25.72/3.83	        | ~ (fool @ X1 @ X0)
25.72/3.83	        | ~ (p @ X2 @ france))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl72, '7'])).
25.72/3.83	thf(zip_derived_cl74, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X2 : reg]:
25.72/3.83	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ france))))))
25.72/3.83	        | ~ (fool @ X1 @ X0)
25.72/3.83	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl73, '7'])).
25.72/3.83	thf(zip_derived_cl75, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X2 : reg]:
25.72/3.83	       (~ (((c @ ('#sk5' @ X2) @ X2) => (c @ ('#sk5' @ X2) @ france)))
25.72/3.83	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain))))))
25.72/3.83	        | ~ (fool @ X1 @ X0))),
25.72/3.83	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl74])).
25.72/3.83	thf(zip_derived_cl76, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X2 : reg]:
25.72/3.83	       ( (c @ ('#sk5' @ X2) @ X2)
25.72/3.83	        | ~ (fool @ X1 @ X0)
25.72/3.83	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl75])).
25.72/3.83	thf(zip_derived_cl78, plain,
25.72/3.83	    (![X2 : reg]:
25.72/3.83	       ( ('#form6' @ X2)
25.72/3.83	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
25.72/3.83	    define([status(thm)])).
25.72/3.83	thf(zip_derived_cl79, plain,
25.72/3.83	    (![X2 : reg]:
25.72/3.83	       (~ (((c @ ('#sk7' @ X2) @ X2) => (c @ ('#sk7' @ X2) @ spain)))
25.72/3.83	        |  ('#form6' @ X2))),
25.72/3.83	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl78])).
25.72/3.83	thf(zip_derived_cl83, plain,
25.72/3.83	    (![X2 : reg]: (~ (c @ ('#sk7' @ X2) @ spain) |  ('#form6' @ X2))),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
25.72/3.83	thf(zip_derived_cl632, plain,
25.72/3.83	    (![X0 : reg, X1 : reg]:
25.72/3.83	       (~ ('#form6' @ X1) | ~ (c @ ('#sk7' @ X0) @ X1) |  ('#form6' @ X0))),
25.72/3.83	    inference('sup-', [status(thm)], [zip_derived_cl115, zip_derived_cl83])).
25.72/3.83	thf(c_symmetric, axiom, (![X:reg,Y:reg]: ( ( c @ X @ Y ) => ( c @ Y @ X ) ))).
25.72/3.83	thf(zip_derived_cl0, plain,
25.72/3.83	    ( (((!!) @ (^[Y0 : reg]:
25.72/3.83	                  (((!!) @ (^[Y1 : reg]: (((c @ Y0 @ Y1) => (c @ Y1 @ Y0)))))))))),
25.72/3.83	    inference('cnf', [status(esa)], [c_symmetric])).
25.72/3.83	thf(zip_derived_cl182, plain,
25.72/3.83	    (![X2 : reg]:
25.72/3.83	        (((!!) @ (^[Y0 : reg]: (((c @ X2 @ Y0) => (c @ Y0 @ X2))))))),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])).
25.72/3.83	thf(zip_derived_cl183, plain,
25.72/3.83	    (![X2 : reg, X4 : reg]:  (((c @ X2 @ X4) => (c @ X4 @ X2)))),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl182])).
25.72/3.83	thf(zip_derived_cl184, plain,
25.72/3.83	    (![X2 : reg, X4 : reg]: (~ (c @ X2 @ X4) |  (c @ X4 @ X2))),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl183])).
25.72/3.83	thf(zip_derived_cl3290, plain,
25.72/3.83	    (![X0 : reg, X1 : reg]:
25.72/3.83	       ( ('#form6' @ X1) | ~ ('#form6' @ X0) | ~ (c @ X0 @ ('#sk7' @ X1)))),
25.72/3.83	    inference('sup+', [status(thm)], [zip_derived_cl632, zip_derived_cl184])).
25.72/3.83	thf(zip_derived_cl82, plain,
25.72/3.83	    (![X2 : reg]: ( (c @ ('#sk7' @ X2) @ X2) |  ('#form6' @ X2))),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
25.72/3.83	thf(zip_derived_cl184, plain,
25.72/3.83	    (![X2 : reg, X4 : reg]: (~ (c @ X2 @ X4) |  (c @ X4 @ X2))),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl183])).
25.72/3.83	thf(con, conjecture,
25.72/3.83	  (mvalid @
25.72/3.83	   ( mbox @
25.72/3.83	     a @ 
25.72/3.83	     ( ^[X:$i]:
25.72/3.83	       ( ![Z:reg]: ( ( p @ Z @ catalunya ) => ( ~( p @ Z @ paris ) ) ) ) ) ))).
25.72/3.83	thf(zf_stmt_0, negated_conjecture,
25.72/3.83	  (~( mvalid @
25.72/3.83	      ( mbox @
25.72/3.83	        a @ 
25.72/3.83	        ( ^[X:$i]:
25.72/3.83	          ( ![Z:reg]: ( ( p @ Z @ catalunya ) => ( ~( p @ Z @ paris ) ) ) ) ) ) )),
25.72/3.83	  inference('cnf.neg', [status(esa)], [con])).
25.72/3.83	thf(zip_derived_cl8, plain,
25.72/3.83	    (~ (mvalid @ 
25.72/3.83	        (mbox @ a @ 
25.72/3.83	         (^[Y0 : $i]:
25.72/3.83	            (((!!) @ (^[Y1 : reg]:
25.72/3.83	                        (((p @ Y1 @ catalunya) => (((~) @ (p @ Y1 @ paris)))))))))))),
25.72/3.83	    inference('cnf', [status(esa)], [zf_stmt_0])).
25.72/3.83	thf(mvalid, axiom, ~ (mvalid @ X0) =>
25.72/3.83	  ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))).
25.72/3.83	thf('8', plain,
25.72/3.83	    (![X0:( $i > $o )]:
25.72/3.83	     ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [mvalid])).
25.72/3.83	thf(zip_derived_cl166, plain,
25.72/3.83	    (~ (((!!) @ (^[Y0 : $i]:
25.72/3.83	                   (mbox @ a @ 
25.72/3.83	                    (^[Y1 : $i]:
25.72/3.83	                       (((!!) @ (^[Y2 : reg]:
25.72/3.83	                                   (((p @ Y2 @ catalunya) =>
25.72/3.83	                                     (((~) @ (p @ Y2 @ paris))))))))) @ 
25.72/3.83	                    Y0))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl8, '8'])).
25.72/3.83	thf(zip_derived_cl167, plain,
25.72/3.83	    (~ (mbox @ a @ 
25.72/3.83	        (^[Y0 : $i]:
25.72/3.83	           (((!!) @ (^[Y1 : reg]:
25.72/3.83	                       (((p @ Y1 @ catalunya) => (((~) @ (p @ Y1 @ paris))))))))) @ 
25.72/3.83	        '#sk51')),
25.72/3.83	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl166])).
25.72/3.83	thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
25.72/3.83	  ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) !=
25.72/3.83	   ($true))).
25.72/3.83	thf('9', plain,
25.72/3.83	    (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
25.72/3.83	     ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
25.72/3.83	       ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [mbox])).
25.72/3.83	thf(zip_derived_cl168, plain,
25.72/3.83	    (~ (((!!) @ (^[Y0 : $i]:
25.72/3.83	                   (((((~) @ (a @ '#sk51' @ Y0))) |
25.72/3.83	                     ((^[Y1 : $i]:
25.72/3.83	                         (((!!) @ (^[Y2 : reg]:
25.72/3.83	                                     (((p @ Y2 @ catalunya) =>
25.72/3.83	                                       (((~) @ (p @ Y2 @ paris))))))))) @ 
25.72/3.83	                     Y0))))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl167, '9'])).
25.72/3.83	thf(zip_derived_cl169, plain,
25.72/3.83	    (~ (((!!) @ (^[Y0 : $i]:
25.72/3.83	                   (((((~) @ (a @ '#sk51' @ Y0))) |
25.72/3.83	                     (((!!) @ (^[Y1 : reg]:
25.72/3.83	                                 (((p @ Y1 @ catalunya) =>
25.72/3.83	                                   (((~) @ (p @ Y1 @ paris)))))))))))))),
25.72/3.83	    inference('ho_norm', [status(thm)], [zip_derived_cl168])).
25.72/3.83	thf(zip_derived_cl170, plain,
25.72/3.83	    (~ (((((~) @ (a @ '#sk51' @ '#sk52'))) |
25.72/3.83	         (((!!) @ (^[Y0 : reg]:
25.72/3.83	                     (((p @ Y0 @ catalunya) => (((~) @ (p @ Y0 @ paris))))))))))),
25.72/3.83	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl169])).
25.72/3.83	thf(zip_derived_cl172, plain,
25.72/3.83	    (~ (((!!) @ (^[Y0 : reg]:
25.72/3.83	                   (((p @ Y0 @ catalunya) => (((~) @ (p @ Y0 @ paris))))))))),
25.72/3.83	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl170])).
25.72/3.83	thf(zip_derived_cl173, plain,
25.72/3.83	    (~ (((p @ '#sk53' @ catalunya) => (((~) @ (p @ '#sk53' @ paris)))))),
25.72/3.83	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl172])).
25.72/3.83	thf(zip_derived_cl174, plain, ( (p @ '#sk53' @ catalunya)),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl173])).
25.72/3.83	thf(zip_derived_cl176, plain,
25.72/3.83	    ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ '#sk53') => (c @ Y0 @ catalunya))))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl174, '4'])).
25.72/3.83	thf(zip_derived_cl178, plain,
25.72/3.83	    (![X2 : reg]:  (((c @ X2 @ '#sk53') => (c @ X2 @ catalunya)))),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl176])).
25.72/3.83	thf(zip_derived_cl180, plain,
25.72/3.83	    (![X2 : reg]: (~ (c @ X2 @ '#sk53') |  (c @ X2 @ catalunya))),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl178])).
25.72/3.83	thf(zip_derived_cl1600, plain,
25.72/3.83	    (![X0 : reg]: ( (c @ catalunya @ X0) | ~ (c @ X0 @ '#sk53'))),
25.72/3.83	    inference('sup+', [status(thm)], [zip_derived_cl184, zip_derived_cl180])).
25.72/3.83	thf(zip_derived_cl3978, plain,
25.72/3.83	    (( ('#form6' @ '#sk53') |  (c @ catalunya @ ('#sk7' @ '#sk53')))),
25.72/3.83	    inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl1600])).
25.72/3.83	thf(zip_derived_cl76, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X2 : reg]:
25.72/3.83	       ( (c @ ('#sk5' @ X2) @ X2)
25.72/3.83	        | ~ (fool @ X1 @ X0)
25.72/3.83	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl75])).
25.72/3.83	thf(zip_derived_cl78, plain,
25.72/3.83	    (![X2 : reg]:
25.72/3.83	       ( ('#form6' @ X2)
25.72/3.83	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
25.72/3.83	    define([status(thm)])).
25.72/3.83	thf(zip_derived_cl80, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X2 : reg]:
25.72/3.83	       (~ ('#form6' @ X2) | ~ (fool @ X1 @ X0) |  (c @ ('#sk5' @ X2) @ X2))),
25.72/3.83	    inference('renaming', [status(thm)], [zip_derived_cl76, zip_derived_cl78])).
25.72/3.83	thf(zip_derived_cl77, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X2 : reg]:
25.72/3.83	       (~ (c @ ('#sk5' @ X2) @ france)
25.72/3.83	        | ~ (fool @ X1 @ X0)
25.72/3.83	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl75])).
25.72/3.83	thf(zip_derived_cl78, plain,
25.72/3.83	    (![X2 : reg]:
25.72/3.83	       ( ('#form6' @ X2)
25.72/3.83	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
25.72/3.83	    define([status(thm)])).
25.72/3.83	thf(zip_derived_cl81, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X2 : reg]:
25.72/3.83	       (~ ('#form6' @ X2)
25.72/3.83	        | ~ (fool @ X1 @ X0)
25.72/3.83	        | ~ (c @ ('#sk5' @ X2) @ france))),
25.72/3.83	    inference('renaming', [status(thm)], [zip_derived_cl77, zip_derived_cl78])).
25.72/3.83	thf(ax3, axiom,
25.72/3.83	  (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( ntpp @ paris @ france ) ) ))).
25.72/3.83	thf(zip_derived_cl2, plain,
25.72/3.83	    ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france))))),
25.72/3.83	    inference('cnf', [status(esa)], [ax3])).
25.72/3.83	thf(zip_derived_cl10, plain,
25.72/3.83	    ( (((!!) @ (^[Y0 : $i]:
25.72/3.83	                  (mbox @ a @ (^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl2, '0'])).
25.72/3.83	thf(zip_derived_cl11, plain,
25.72/3.83	    (![X2 : $i]:  (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)) @ X2)),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])).
25.72/3.83	thf(zip_derived_cl12, plain,
25.72/3.83	    (![X0 : $i]:
25.72/3.83	        (((!!) @ (^[Y0 : $i]:
25.72/3.83	                    (((((~) @ (a @ X0 @ Y0))) |
25.72/3.83	                      ((^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl11, '1'])).
25.72/3.83	thf(zip_derived_cl13, plain,
25.72/3.83	    (![X0 : $i]:
25.72/3.83	        (((!!) @ (^[Y0 : $i]:
25.72/3.83	                    (((((~) @ (a @ X0 @ Y0))) | (ntpp @ paris @ france))))))),
25.72/3.83	    inference('ho_norm', [status(thm)], [zip_derived_cl12])).
25.72/3.83	thf(zip_derived_cl14, plain,
25.72/3.83	    (![X0 : $i, X2 : $i]:
25.72/3.83	        (((((~) @ (a @ X0 @ X2))) | (ntpp @ paris @ france)))),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])).
25.72/3.83	thf(zip_derived_cl15, plain,
25.72/3.83	    (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) |  (ntpp @ paris @ france))),
25.72/3.83	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl14])).
25.72/3.83	thf(ntpp, axiom, (ntpp @ X0 @ X1) =>
25.72/3.83	  ((((((~) @ (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))))) &
25.72/3.83	     (pp @ X0 @ X1)))
25.72/3.83	   = ($true))).
25.72/3.83	thf('10', plain,
25.72/3.83	    (![X0:reg,X1:reg]:
25.72/3.83	     ( ( ntpp @ X0 @ X1 ) <=>
25.72/3.83	       ( ( pp @ X0 @ X1 ) & 
25.72/3.83	         ( ~( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [ntpp])).
25.72/3.83	thf(zip_derived_cl16, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]:
25.72/3.83	       ( (((((~) @ (((??) @ (^[Y0 : reg]:
25.72/3.83	                               (((ec @ Y0 @ paris) & (ec @ Y0 @ france)))))))) &
25.72/3.83	           (pp @ paris @ france)))
25.72/3.83	        | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl15, '10'])).
25.72/3.83	thf(zip_derived_cl18, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]: ( (pp @ paris @ france) | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])).
25.72/3.83	thf(zip_derived_cl20, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]:
25.72/3.83	       ( (((((~) @ (p @ france @ paris))) & (p @ paris @ france)))
25.72/3.83	        | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl18, '3'])).
25.72/3.83	thf(zip_derived_cl23, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]: ( (p @ paris @ france) | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])).
25.72/3.83	thf(zip_derived_cl26, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]:
25.72/3.83	       ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ france))))))
25.72/3.83	        | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl23, '4'])).
25.72/3.83	thf(zip_derived_cl29, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X3 : reg]:
25.72/3.83	       ( (((c @ X3 @ paris) => (c @ X3 @ france))) | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl26])).
25.72/3.83	thf(zip_derived_cl33, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X3 : reg]:
25.72/3.83	       (~ (c @ X3 @ paris) |  (c @ X3 @ france) | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl29])).
25.72/3.83	thf(zip_derived_cl171, plain, ( (a @ '#sk51' @ '#sk52')),
25.72/3.83	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl170])).
25.72/3.83	thf(zip_derived_cl247, plain,
25.72/3.83	    (![X0 : reg]: ( (c @ X0 @ france) | ~ (c @ X0 @ paris))),
25.72/3.83	    inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl171])).
25.72/3.83	thf(zip_derived_cl175, plain, ( (p @ '#sk53' @ paris)),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl173])).
25.72/3.83	thf(zip_derived_cl177, plain,
25.72/3.83	    ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ '#sk53') => (c @ Y0 @ paris))))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl175, '4'])).
25.72/3.83	thf(zip_derived_cl179, plain,
25.72/3.83	    (![X2 : reg]:  (((c @ X2 @ '#sk53') => (c @ X2 @ paris)))),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl177])).
25.72/3.83	thf(zip_derived_cl181, plain,
25.72/3.83	    (![X2 : reg]: (~ (c @ X2 @ '#sk53') |  (c @ X2 @ paris))),
25.72/3.83	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl179])).
25.72/3.83	thf(zip_derived_cl492, plain,
25.72/3.83	    (![X0 : reg]: ( (c @ X0 @ france) | ~ (c @ X0 @ '#sk53'))),
25.72/3.83	    inference('sup+', [status(thm)], [zip_derived_cl247, zip_derived_cl181])).
25.72/3.83	thf(zip_derived_cl548, plain,
25.72/3.83	    (![X0 : reg, X1 : $i, X2 : $i]:
25.72/3.83	       (~ (fool @ X2 @ X1)
25.72/3.83	        | ~ ('#form6' @ X0)
25.72/3.83	        | ~ (c @ ('#sk5' @ X0) @ '#sk53'))),
25.72/3.83	    inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl492])).
25.72/3.83	thf(zip_derived_cl787, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
25.72/3.83	       (~ (fool @ X3 @ X2)
25.72/3.83	        | ~ ('#form6' @ '#sk53')
25.72/3.83	        | ~ ('#form6' @ '#sk53')
25.72/3.83	        | ~ (fool @ X1 @ X0))),
25.72/3.83	    inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl548])).
25.72/3.83	thf(zip_derived_cl796, plain,
25.72/3.83	    (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
25.72/3.83	       (~ (fool @ X1 @ X0) | ~ ('#form6' @ '#sk53') | ~ (fool @ X3 @ X2))),
25.72/3.83	    inference('simplify', [status(thm)], [zip_derived_cl787])).
25.72/3.83	thf(zip_derived_cl808, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]: (~ (fool @ X1 @ X0) | ~ ('#form6' @ '#sk53'))),
25.72/3.83	    inference('condensation', [status(thm)], [zip_derived_cl796])).
25.72/3.83	thf(t_axiom_for_fool, axiom,
25.72/3.83	  (mvalid @
25.72/3.83	   ( mforall_prop @
25.72/3.83	     ( ^[A:( $i > $o )]: ( mimplies @ ( mbox @ fool @ A ) @ A ) ) ))).
25.72/3.83	thf(zip_derived_cl3, plain,
25.72/3.83	    ( (mvalid @ 
25.72/3.83	       (mforall_prop @ 
25.72/3.83	        (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0))))),
25.72/3.83	    inference('cnf', [status(esa)], [t_axiom_for_fool])).
25.72/3.83	thf(zip_derived_cl135, plain,
25.72/3.83	    ( (((!!) @ (^[Y0 : $i]:
25.72/3.83	                  (mforall_prop @ 
25.72/3.83	                   (^[Y1 : $i > $o]: (mimplies @ (mbox @ fool @ Y1) @ Y1)) @ 
25.72/3.83	                   Y0))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl3, '0'])).
25.72/3.83	thf(zip_derived_cl136, plain,
25.72/3.83	    (![X2 : $i]:
25.72/3.83	        (mforall_prop @ 
25.72/3.83	         (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0)) @ X2)),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl135])).
25.72/3.83	thf(mforall_prop, axiom, (mforall_prop @ X0 @ X1) =>
25.72/3.83	  ((((!!) @ (^[Y0 : $i > $o]: (X0 @ Y0 @ X1)))) = ($true))).
25.72/3.83	thf('11', plain,
25.72/3.83	    (![X0:( ( $i > $o ) > $i > $o ),X1:$i]:
25.72/3.83	     ( ( mforall_prop @ X0 @ X1 ) <=> ( ![X6:( $i > $o )]: ( X0 @ X6 @ X1 ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [mforall_prop])).
25.72/3.83	thf(zip_derived_cl137, plain,
25.72/3.83	    (![X0 : $i]:
25.72/3.83	        (((!!) @ (^[Y0 : $i > $o]:
25.72/3.83	                    ((^[Y1 : $i > $o]: (mimplies @ (mbox @ fool @ Y1) @ Y1)) @ 
25.72/3.83	                     Y0 @ X0))))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl136, '11'])).
25.72/3.83	thf(zip_derived_cl138, plain,
25.72/3.83	    (![X0 : $i]:
25.72/3.83	        (((!!) @ (^[Y0 : $i > $o]: (mimplies @ (mbox @ fool @ Y0) @ Y0 @ X0))))),
25.72/3.83	    inference('ho_norm', [status(thm)], [zip_derived_cl137])).
25.72/3.83	thf(zip_derived_cl139, plain,
25.72/3.83	    (![X0 : $i, X2 : $i > $o]:  (mimplies @ (mbox @ fool @ X2) @ X2 @ X0)),
25.72/3.83	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl138])).
25.72/3.83	thf(mimplies, axiom,(( mimplies @ (X0)@ (X1)@ (X2)) =
25.72/3.83	  ((mor @ (mnot @ X0) @ X1 @ X2)))).
25.72/3.83	thf('12', plain,
25.72/3.83	    (![X2:$i,X1:( $i > $o ),X0:( $i > $o )]:
25.72/3.83	     ( ( mimplies @ X0 @ X1 @ X2 ) = ( mor @ ( mnot @ X0 ) @ X1 @ X2 ) )),
25.72/3.83	    define([status(thm)])).
25.72/3.83	thf(zip_derived_cl140, plain,
25.72/3.83	    (![X0 : $i, X2 : $i > $o]:  (mor @ (mnot @ (mbox @ fool @ X2)) @ X2 @ X0)),
25.72/3.83	    inference('rw', [status(thm)], [zip_derived_cl139, '12'])).
25.72/3.83	thf(mor, axiom, (mor @ X0 @ X1 @ X2) =>
25.72/3.83	  ((((X1 @ X2) | (X0 @ X2))) = ($true))).
25.72/3.83	thf('13', plain,
25.72/3.83	    (![X0:( $i > $o ),X1:( $i > $o ),X2:$i]:
25.72/3.83	     ( ( mor @ X0 @ X1 @ X2 ) <=> ( ( X0 @ X2 ) | ( X1 @ X2 ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [mor])).
25.72/3.83	thf(zip_derived_cl141, plain,
25.72/3.83	    (![X0 : $i > $o, X1 : $i]:
25.72/3.83	        (((X0 @ X1) | (mnot @ (mbox @ fool @ X0) @ X1)))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl140, '13'])).
25.72/3.83	thf(zip_derived_cl142, plain,
25.72/3.83	    (![X0 : $i > $o, X1 : $i]:
25.72/3.83	       ( (X0 @ X1) |  (mnot @ (mbox @ fool @ X0) @ X1))),
25.72/3.83	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl141])).
25.72/3.83	thf(mnot, axiom, (mnot @ X0 @ X1) => ((X0 @ X1) != ($true))).
25.72/3.83	thf('14', plain,
25.72/3.83	    (![X0:( $i > $o ),X1:$i]: ( ( mnot @ X0 @ X1 ) <=> ( ~( X0 @ X1 ) ) )),
25.72/3.83	    inference('rw.lit', [status(esa)], [mnot])).
25.72/3.83	thf(zip_derived_cl143, plain,
25.72/3.83	    (![X0 : $i > $o, X1 : $i]: (~ (mbox @ fool @ X0 @ X1) |  (X0 @ X1))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl142, '14'])).
25.72/3.83	thf(zip_derived_cl144, plain,
25.72/3.83	    (![X0 : $i > $o, X1 : $i]:
25.72/3.83	       (~ (((!!) @ (^[Y0 : $i]: (((((~) @ (fool @ X1 @ Y0))) | (X0 @ Y0))))))
25.72/3.83	        |  (X0 @ X1))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl143, '9'])).
25.72/3.83	thf(zip_derived_cl145, plain,
25.72/3.83	    (![X0 : $i > $o, X1 : $i]:
25.72/3.83	       (~ (((((~) @ (fool @ X1 @ ('#sk21' @ X0 @ X1)))) | (X0 @ 
25.72/3.83	            ('#sk21' @ X0 @ X1))))
25.72/3.83	        |  (X0 @ X1))),
25.72/3.83	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl144])).
25.72/3.83	thf(zip_derived_cl146, plain,
25.72/3.83	    (![X0 : $i > $o, X1 : $i]:
25.72/3.83	       ( (fool @ X1 @ ('#sk21' @ X0 @ X1)) |  (X0 @ X1))),
25.72/3.83	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl145])).
25.72/3.83	thf(zip_derived_cl896, plain,
25.72/3.83	    (![X0 : $i, X1 : $i > $o]: (~ ('#form6' @ '#sk53') |  (X1 @ X0))),
25.72/3.83	    inference('sup+', [status(thm)], [zip_derived_cl808, zip_derived_cl146])).
25.72/3.83	thf(zip_derived_cl929, plain,
25.72/3.83	    (![X0 : $i, X1 : $o]:
25.72/3.83	       (~ ('#form6' @ '#sk53') |  ((^[Y0 : $i]: (X1)) @ X0))),
25.72/3.83	    inference('prune_arg_fun', [status(thm)], [zip_derived_cl896])).
25.72/3.83	thf(zip_derived_cl930, plain, (![X1 : $o]: (~ ('#form6' @ '#sk53') |  (X1))),
25.72/3.83	    inference('ho_norm', [status(thm)], [zip_derived_cl929])).
25.72/3.83	thf(zip_derived_cl1178, plain, (~ ('#form6' @ '#sk53')),
25.72/3.83	    inference('ho_elim_pred', [status(thm)], [zip_derived_cl930])).
25.72/3.83	thf(zip_derived_cl4002, plain, ( (c @ catalunya @ ('#sk7' @ '#sk53'))),
25.72/3.83	    inference('demod', [status(thm)],
25.72/3.83	              [zip_derived_cl3978, zip_derived_cl1178])).
25.72/3.83	thf(zip_derived_cl4088, plain,
25.72/3.83	    ((~ ('#form6' @ catalunya) |  ('#form6' @ '#sk53'))),
25.72/3.83	    inference('sup+', [status(thm)], [zip_derived_cl3290, zip_derived_cl4002])).
25.72/3.83	thf(zip_derived_cl102, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]:
25.72/3.83	       ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))
25.72/3.83	        | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('rw_clause', [status(thm)], [zip_derived_cl98, '4'])).
25.72/3.83	thf(zip_derived_cl108, plain,
25.72/3.83	    (![X2 : reg]:
25.72/3.83	       (~ ('#form6' @ X2)
25.72/3.83	        |  (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
25.72/3.83	    define([status(thm)])).
25.72/3.83	thf(zip_derived_cl78, plain,
25.72/3.83	    (![X2 : reg]:
25.72/3.83	       ( ('#form6' @ X2)
25.72/3.83	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
25.72/3.83	    define([status(thm)])).
25.72/3.83	thf(zip_derived_cl110, plain,
25.72/3.83	    (![X0 : $i, X1 : $i]: ( ('#form6' @ catalunya) | ~ (a @ X1 @ X0))),
25.72/3.83	    inference('renaming', [status(thm)],
25.72/3.83	              [zip_derived_cl102, zip_derived_cl108, zip_derived_cl78])).
25.72/3.83	thf(zip_derived_cl171, plain, ( (a @ '#sk51' @ '#sk52')),
25.72/3.83	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl170])).
25.72/3.83	thf(zip_derived_cl219, plain, ( ('#form6' @ catalunya)),
25.72/3.83	    inference('sup+', [status(thm)], [zip_derived_cl110, zip_derived_cl171])).
25.72/3.83	thf(zip_derived_cl1178, plain, (~ ('#form6' @ '#sk53')),
25.72/3.83	    inference('ho_elim_pred', [status(thm)], [zip_derived_cl930])).
25.72/3.83	thf(zip_derived_cl4290, plain, ($false),
25.72/3.83	    inference('demod', [status(thm)],
25.72/3.83	              [zip_derived_cl4088, zip_derived_cl219, zip_derived_cl1178])).
25.72/3.83	
25.72/3.83	% SZS output end Refutation
25.72/3.83	
25.72/3.83	
25.72/3.83	% Terminating...
26.43/3.92	% Runner terminated.
26.43/3.93	% Zipperpin 1.5 exiting
26.43/3.94	EOF