0.00/0.05	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.08	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.U2MYZjQbQU true
0.20/0.47	% Computer : n010.cluster.edu
0.20/0.47	% Model    : x86_64 x86_64
0.20/0.47	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.20/0.47	% Memory   : 8046.5625MB
0.20/0.47	% OS       : Linux 6.8.0-71-generic
0.20/0.47	% CPULimit : 1440
0.20/0.47	% WCLimit  : 180
0.20/0.47	% DateTime : Mon Jul 27 11:54:19 UTC 2026
0.20/0.48	% CPUTime  : 
0.20/0.48	% Running portfolio for 1440 s
0.20/0.48	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.20/0.48	% Number of cores: 8
0.20/0.48	% Python version: Python 3.12.3
0.20/0.49	% Running in HO mode
0.46/0.92	% Total configuration time : 828
0.46/0.92	% Estimated wc time : 1656
0.46/0.92	% Estimated cpu time (8 cpus) : 207.0
2.26/1.14	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
2.26/1.15	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
2.26/1.15	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
2.26/1.15	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
2.26/1.15	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
2.26/1.15	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
2.26/1.15	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
2.37/1.25	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
2.37/1.27	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
16.63/3.19	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
102.84/15.43	% Solved by lams/30_b.l.sh.
102.84/15.43	% done 1202 iterations in 14.059s
102.84/15.43	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
102.84/15.43	% SZS output start Refutation
102.84/15.43	thf(reg_type, type, reg: $tType).
102.84/15.43	thf('#form12_type', type, '#form12': reg > $o).
102.84/15.43	thf('#sk89_type', type, '#sk89': $i).
102.84/15.43	thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
102.84/15.43	thf('#sk90_type', type, '#sk90': $i).
102.84/15.43	thf(paris_type, type, paris: reg).
102.84/15.43	thf(ntpp_type, type, ntpp: reg > reg > $o).
102.84/15.43	thf(a_type, type, a: $i > $i > $o).
102.84/15.43	thf(pp_type, type, pp: reg > reg > $o).
102.84/15.43	thf(fool_type, type, fool: $i > $i > $o).
102.84/15.43	thf('#sk91_type', type, '#sk91': reg).
102.84/15.43	thf('#sk94_type', type, '#sk94': reg > reg).
102.84/15.43	thf(france_type, type, france: reg).
102.84/15.43	thf('#sk92_type', type, '#sk92': reg).
102.84/15.43	thf('#sk11_type', type, '#sk11': reg > reg).
102.84/15.43	thf('#form93_type', type, '#form93': $o).
102.84/15.43	thf(ec_type, type, ec: reg > reg > $o).
102.84/15.43	thf('#sk4_type', type, '#sk4': reg > reg).
102.84/15.43	thf(o_type, type, o: reg > reg > $o).
102.84/15.43	thf(c_type, type, c: reg > reg > $o).
102.84/15.43	thf(p_type, type, p: reg > reg > $o).
102.84/15.43	thf(catalunya_type, type, catalunya: reg).
102.84/15.43	thf('#form95_type', type, '#form95': reg > $o).
102.84/15.43	thf(spain_type, type, spain: reg).
102.84/15.43	thf('#sk9_type', type, '#sk9': reg > reg).
102.84/15.43	thf(tpp_type, type, tpp: reg > reg > $o).
102.84/15.43	thf(mvalid_type, type, mvalid: ($i > $o) > $o).
102.84/15.43	thf(ax2, axiom,
102.84/15.43	  (mvalid @ ( mbox @ fool @ ( ^[X:$i]: ( ec @ spain @ france ) ) ))).
102.84/15.43	thf(zip_derived_cl7, plain,
102.84/15.43	    ( (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france))))),
102.84/15.43	    inference('cnf', [status(esa)], [ax2])).
102.84/15.43	thf(mvalid, axiom, (mvalid @ X0) =>
102.84/15.43	  ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
102.84/15.43	thf('0', plain,
102.84/15.43	    (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
102.84/15.43	    inference('rw.lit', [status(esa)], [mvalid])).
102.84/15.43	thf(zip_derived_cl111, plain,
102.84/15.43	    ( (((!!) @ (^[Y0 : $i]:
102.84/15.43	                  (mbox @ fool @ (^[Y1 : $i]: (ec @ spain @ france)) @ Y0))))),
102.84/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl7, '0'])).
102.84/15.43	thf(zip_derived_cl112, plain,
102.84/15.43	    (![X2 : $i]:  (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)) @ X2)),
102.84/15.43	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl111])).
102.84/15.43	thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
102.84/15.43	  ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) =
102.84/15.43	   ($true))).
102.84/15.43	thf('1', plain,
102.84/15.43	    (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
102.84/15.43	     ( ( mbox @ X0 @ X1 @ X2 ) <=>
102.84/15.43	       ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )),
102.84/15.43	    inference('rw.lit', [status(esa)], [mbox])).
102.84/15.43	thf(zip_derived_cl113, plain,
102.84/15.43	    (![X0 : $i]:
102.84/15.43	        (((!!) @ (^[Y0 : $i]:
102.84/15.43	                    (((((~) @ (fool @ X0 @ Y0))) |
102.84/15.43	                      ((^[Y1 : $i]: (ec @ spain @ france)) @ Y0))))))),
102.84/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl112, '1'])).
102.84/15.43	thf(zip_derived_cl114, plain,
102.84/15.43	    (![X0 : $i]:
102.84/15.43	        (((!!) @ (^[Y0 : $i]:
102.84/15.43	                    (((((~) @ (fool @ X0 @ Y0))) | (ec @ spain @ france))))))),
102.84/15.43	    inference('ho_norm', [status(thm)], [zip_derived_cl113])).
102.84/15.43	thf(zip_derived_cl115, plain,
102.84/15.43	    (![X0 : $i, X2 : $i]:
102.84/15.43	        (((((~) @ (fool @ X0 @ X2))) | (ec @ spain @ france)))),
102.84/15.43	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl114])).
102.84/15.43	thf(zip_derived_cl116, plain,
102.84/15.43	    (![X0 : $i, X2 : $i]: (~ (fool @ X0 @ X2) |  (ec @ spain @ france))),
102.84/15.43	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl115])).
102.84/15.43	thf(ec, axiom, (ec @ X0 @ X1) =>
102.84/15.43	  ((((((~) @ (o @ X0 @ X1))) & (c @ X0 @ X1))) = ($true))).
102.84/15.43	thf('2', plain,
102.84/15.43	    (![X0:reg,X1:reg]:
102.84/15.43	     ( ( ec @ X0 @ X1 ) <=> ( ( c @ X0 @ X1 ) & ( ~( o @ X0 @ X1 ) ) ) )),
102.84/15.43	    inference('rw.lit', [status(esa)], [ec])).
102.84/15.43	thf(zip_derived_cl117, plain,
102.84/15.43	    (![X0 : $i, X1 : $i]:
102.84/15.43	       ( (((((~) @ (o @ spain @ france))) & (c @ spain @ france)))
102.84/15.43	        | ~ (fool @ X1 @ X0))),
102.84/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl116, '2'])).
102.84/15.43	thf(zip_derived_cl118, plain,
102.84/15.43	    (![X0 : $i, X1 : $i]: (~ (o @ spain @ france) | ~ (fool @ X1 @ X0))),
102.84/15.43	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl117])).
102.84/15.43	thf(o, axiom, ~ (o @ X0 @ X1) =>
102.84/15.43	  ((((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ X1)))))) != ($true))).
102.84/15.43	thf('3', plain,
102.84/15.43	    (![X0:reg,X1:reg]:
102.84/15.43	     ( ( ~( o @ X0 @ X1 ) ) <=>
102.84/15.43	       ( ~( ?[X6:reg]: ( ( p @ X6 @ X0 ) & ( p @ X6 @ X1 ) ) ) ) )),
102.84/15.43	    inference('rw.lit', [status(esa)], [o])).
102.84/15.43	thf(zip_derived_cl120, plain,
102.84/15.43	    (![X0 : $i, X1 : $i]:
102.84/15.43	       (~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ spain) & (p @ Y0 @ france))))))
102.84/15.43	        | ~ (fool @ X1 @ X0))),
102.84/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl118, '3'])).
102.84/15.43	thf(zip_derived_cl121, plain,
102.84/15.43	    (![X0 : $i, X1 : $i, X3 : reg]:
102.84/15.43	       (~ (((p @ X3 @ spain) & (p @ X3 @ france))) | ~ (fool @ X1 @ X0))),
102.84/15.43	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl120])).
102.84/15.43	thf(zip_derived_cl122, plain,
102.84/15.43	    (![X0 : $i, X1 : $i, X3 : reg]:
102.84/15.43	       (~ (p @ X3 @ spain) | ~ (p @ X3 @ france) | ~ (fool @ X1 @ X0))),
102.84/15.43	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl121])).
102.84/15.43	thf(p, axiom, ~ (p @ X0 @ X1) =>
102.84/15.43	  ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) != ($true))).
102.84/15.43	thf('4', plain,
102.84/15.43	    (![X0:reg,X1:reg]:
102.84/15.43	     ( ( ~( p @ X0 @ X1 ) ) <=>
102.84/15.43	       ( ~( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) ) )),
102.84/15.43	    inference('rw.lit', [status(esa)], [p])).
102.84/15.43	thf(zip_derived_cl123, plain,
102.84/15.43	    (![X0 : $i, X1 : $i, X2 : reg]:
102.84/15.43	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain))))))
102.84/15.43	        | ~ (fool @ X1 @ X0)
102.84/15.43	        | ~ (p @ X2 @ france))),
102.84/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl122, '4'])).
102.84/15.43	thf(zip_derived_cl124, plain,
102.84/15.43	    (![X0 : $i, X1 : $i, X2 : reg]:
102.84/15.43	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ france))))))
102.84/15.43	        | ~ (fool @ X1 @ X0)
102.84/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
102.84/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl123, '4'])).
102.84/15.43	thf(zip_derived_cl125, plain,
102.84/15.43	    (![X0 : $i, X1 : $i, X2 : reg]:
102.84/15.43	       (~ (((c @ ('#sk11' @ X2) @ X2) => (c @ ('#sk11' @ X2) @ france)))
102.84/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain))))))
102.84/15.43	        | ~ (fool @ X1 @ X0))),
102.84/15.43	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl124])).
102.84/15.43	thf(zip_derived_cl126, plain,
102.84/15.43	    (![X0 : $i, X1 : $i, X2 : reg]:
102.84/15.43	       ( (c @ ('#sk11' @ X2) @ X2)
102.84/15.43	        | ~ (fool @ X1 @ X0)
102.84/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
102.84/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl125])).
102.84/15.43	thf(zip_derived_cl128, plain,
102.84/15.43	    (![X2 : reg]:
102.84/15.43	       ( ('#form12' @ X2)
102.84/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
102.84/15.43	    define([status(thm)])).
102.84/15.43	thf(zip_derived_cl129, plain,
102.84/15.43	    (![X2 : reg]:
102.84/15.43	       (~ (((c @ ('#sk4' @ X2) @ X2) => (c @ ('#sk4' @ X2) @ spain)))
102.84/15.43	        |  ('#form12' @ X2))),
102.84/15.43	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl128])).
102.84/15.43	thf(zip_derived_cl133, plain,
102.84/15.43	    (![X2 : reg]: (~ (c @ ('#sk4' @ X2) @ spain) |  ('#form12' @ X2))),
102.84/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl129])).
102.84/15.43	thf(ax1, axiom,
102.84/15.43	  (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( tpp @ catalunya @ spain ) ) ))).
102.84/15.43	thf(zip_derived_cl3, plain,
102.84/15.43	    ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain))))),
102.84/15.43	    inference('cnf', [status(esa)], [ax1])).
102.84/15.43	thf(zip_derived_cl10, plain,
102.84/15.43	    ( (((!!) @ (^[Y0 : $i]:
102.84/15.43	                  (mbox @ a @ (^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))),
102.84/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl3, '0'])).
102.84/15.43	thf(zip_derived_cl11, plain,
102.84/15.43	    (![X2 : $i]:  (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)) @ X2)),
102.84/15.43	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])).
102.84/15.43	thf(zip_derived_cl12, plain,
102.84/15.43	    (![X0 : $i]:
102.84/15.43	        (((!!) @ (^[Y0 : $i]:
102.84/15.43	                    (((((~) @ (a @ X0 @ Y0))) |
102.84/15.43	                      ((^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))))),
102.84/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl11, '1'])).
102.84/15.43	thf(zip_derived_cl13, plain,
102.84/15.43	    (![X0 : $i]:
102.84/15.43	        (((!!) @ (^[Y0 : $i]:
102.84/15.43	                    (((((~) @ (a @ X0 @ Y0))) | (tpp @ catalunya @ spain))))))),
102.84/15.43	    inference('ho_norm', [status(thm)], [zip_derived_cl12])).
102.84/15.43	thf(zip_derived_cl14, plain,
102.84/15.43	    (![X0 : $i, X2 : $i]:
102.84/15.43	        (((((~) @ (a @ X0 @ X2))) | (tpp @ catalunya @ spain)))),
102.84/15.43	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])).
102.84/15.43	thf(zip_derived_cl15, plain,
102.84/15.43	    (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) |  (tpp @ catalunya @ spain))),
102.84/15.43	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl14])).
102.84/15.43	thf(tpp, axiom, (tpp @ X0 @ X1) =>
102.84/15.43	  ((((((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))) & (pp @ 
102.84/15.43	     X0 @ X1)))
102.84/15.43	   = ($true))).
102.84/15.43	thf('5', plain,
102.84/15.43	    (![X0:reg,X1:reg]:
102.84/15.43	     ( ( tpp @ X0 @ X1 ) <=>
102.84/15.43	       ( ( pp @ X0 @ X1 ) & 
102.84/15.43	         ( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) )),
102.84/15.43	    inference('rw.lit', [status(esa)], [tpp])).
102.84/15.43	thf(zip_derived_cl16, plain,
102.84/15.43	    (![X0 : $i, X1 : $i]:
102.84/15.43	       ( (((((??) @ (^[Y0 : reg]:
102.84/15.43	                       (((ec @ Y0 @ catalunya) & (ec @ Y0 @ spain)))))) &
102.84/15.43	           (pp @ catalunya @ spain)))
102.84/15.43	        | ~ (a @ X1 @ X0))),
102.84/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl15, '5'])).
102.84/15.43	thf(zip_derived_cl18, plain,
102.84/15.43	    (![X0 : $i, X1 : $i]: ( (pp @ catalunya @ spain) | ~ (a @ X1 @ X0))),
102.84/15.43	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])).
102.84/15.43	thf(pp, axiom, (pp @ X0 @ X1) =>
102.84/15.43	  ((((((~) @ (p @ X1 @ X0))) & (p @ X0 @ X1))) = ($true))).
102.84/15.43	thf('6', plain,
102.84/15.43	    (![X0:reg,X1:reg]:
102.84/15.43	     ( ( pp @ X0 @ X1 ) <=> ( ( p @ X0 @ X1 ) & ( ~( p @ X1 @ X0 ) ) ) )),
102.84/15.43	    inference('rw.lit', [status(esa)], [pp])).
102.84/15.43	thf(zip_derived_cl20, plain,
102.84/15.43	    (![X0 : $i, X1 : $i]:
102.84/15.43	       ( (((((~) @ (p @ spain @ catalunya))) & (p @ catalunya @ spain)))
102.84/15.43	        | ~ (a @ X1 @ X0))),
102.84/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl18, '6'])).
102.84/15.43	thf(zip_derived_cl24, plain,
102.84/15.43	    (![X0 : $i, X1 : $i]: ( (p @ catalunya @ spain) | ~ (a @ X1 @ X0))),
102.84/15.43	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])).
102.84/15.43	thf(p, axiom, (p @ X0 @ X1) =>
102.84/15.43	  ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) = ($true))).
102.84/15.43	thf('7', plain,
102.84/15.43	    (![X0:reg,X1:reg]:
102.84/15.43	     ( ( p @ X0 @ X1 ) <=>
102.84/15.43	       ( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) )),
102.84/15.43	    inference('rw.lit', [status(esa)], [p])).
102.84/15.43	thf(zip_derived_cl28, plain,
102.84/15.43	    (![X0 : $i, X1 : $i]:
102.84/15.43	       ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))
102.84/15.43	        | ~ (a @ X1 @ X0))),
102.84/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl24, '7'])).
102.84/15.43	thf(zip_derived_cl34, plain,
102.84/15.43	    (![X0 : $i, X1 : $i, X3 : reg]:
102.84/15.43	       ( (((c @ X3 @ catalunya) => (c @ X3 @ spain))) | ~ (a @ X1 @ X0))),
102.84/15.43	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])).
102.84/15.43	thf(zip_derived_cl39, plain,
102.84/15.43	    (![X0 : $i, X1 : $i, X3 : reg]:
102.84/15.43	       (~ (c @ X3 @ catalunya) |  (c @ X3 @ spain) | ~ (a @ X1 @ X0))),
102.84/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])).
102.84/15.43	thf(con, conjecture,
102.84/15.43	  (mvalid @
102.84/15.43	   ( mbox @
102.84/15.43	     a @ 
102.84/15.43	     ( ^[X:$i]:
102.84/15.43	       ( ![Z:reg]:
102.84/15.43	         ( ( ( o @ Z @ paris ) | ( o @ Z @ catalunya ) ) =>
102.84/15.43	           ( ( o @ Z @ spain ) | ( o @ Z @ france ) ) ) ) ) ))).
102.84/15.43	thf(zf_stmt_0, negated_conjecture,
102.84/15.43	  (~( mvalid @
102.84/15.43	      ( mbox @
102.84/15.43	        a @ 
102.84/15.43	        ( ^[X:$i]:
102.84/15.43	          ( ![Z:reg]:
102.84/15.43	            ( ( ( o @ Z @ paris ) | ( o @ Z @ catalunya ) ) =>
102.84/15.43	              ( ( o @ Z @ spain ) | ( o @ Z @ france ) ) ) ) ) ) )),
102.84/15.43	  inference('cnf.neg', [status(esa)], [con])).
102.84/15.43	thf(zip_derived_cl8, plain,
102.84/15.43	    (~ (mvalid @ 
102.84/15.43	        (mbox @ a @ 
102.84/15.43	         (^[Y0 : $i]:
102.84/15.43	            (((!!) @ (^[Y1 : reg]:
102.84/15.43	                        (((((o @ Y1 @ paris) | (o @ Y1 @ catalunya))) =>
102.84/15.43	                          (((o @ Y1 @ spain) | (o @ Y1 @ france)))))))))))),
102.84/15.43	    inference('cnf', [status(esa)], [zf_stmt_0])).
102.84/15.43	thf(mvalid, axiom, ~ (mvalid @ X0) =>
102.84/15.43	  ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))).
102.84/15.43	thf('8', plain,
102.84/15.43	    (![X0:( $i > $o )]:
102.84/15.43	     ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )),
102.84/15.43	    inference('rw.lit', [status(esa)], [mvalid])).
102.84/15.43	thf(zip_derived_cl192, plain,
102.84/15.43	    (~ (((!!) @ (^[Y0 : $i]:
102.84/15.43	                   (mbox @ a @ 
102.84/15.43	                    (^[Y1 : $i]:
102.84/15.43	                       (((!!) @ (^[Y2 : reg]:
102.84/15.43	                                   (((((o @ Y2 @ paris) | (o @ Y2 @ 
102.84/15.43	                                       catalunya))) =>
102.84/15.43	                                     (((o @ Y2 @ spain) | (o @ Y2 @ france))))))))) @ 
104.39/15.43	                    Y0))))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl8, '8'])).
104.39/15.43	thf(zip_derived_cl193, plain,
104.39/15.43	    (~ (mbox @ a @ 
104.39/15.43	        (^[Y0 : $i]:
104.39/15.43	           (((!!) @ (^[Y1 : reg]:
104.39/15.43	                       (((((o @ Y1 @ paris) | (o @ Y1 @ catalunya))) =>
104.39/15.43	                         (((o @ Y1 @ spain) | (o @ Y1 @ france))))))))) @ 
104.39/15.43	        '#sk89')),
104.39/15.43	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl192])).
104.39/15.43	thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
104.39/15.43	  ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) !=
104.39/15.43	   ($true))).
104.39/15.43	thf('9', plain,
104.39/15.43	    (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
104.39/15.43	     ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
104.39/15.43	       ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )),
104.39/15.43	    inference('rw.lit', [status(esa)], [mbox])).
104.39/15.43	thf(zip_derived_cl194, plain,
104.39/15.43	    (~ (((!!) @ (^[Y0 : $i]:
104.39/15.43	                   (((((~) @ (a @ '#sk89' @ Y0))) |
104.39/15.43	                     ((^[Y1 : $i]:
104.39/15.43	                         (((!!) @ (^[Y2 : reg]:
104.39/15.43	                                     (((((o @ Y2 @ paris) | (o @ Y2 @ 
104.39/15.43	                                         catalunya))) =>
104.39/15.43	                                       (((o @ Y2 @ spain) | (o @ Y2 @ france))))))))) @ 
104.39/15.43	                     Y0))))))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl193, '9'])).
104.39/15.43	thf(zip_derived_cl195, plain,
104.39/15.43	    (~ (((!!) @ (^[Y0 : $i]:
104.39/15.43	                   (((((~) @ (a @ '#sk89' @ Y0))) |
104.39/15.43	                     (((!!) @ (^[Y1 : reg]:
104.39/15.43	                                 (((((o @ Y1 @ paris) | (o @ Y1 @ catalunya))) =>
104.39/15.43	                                   (((o @ Y1 @ spain) | (o @ Y1 @ france)))))))))))))),
104.39/15.43	    inference('ho_norm', [status(thm)], [zip_derived_cl194])).
104.39/15.43	thf(zip_derived_cl196, plain,
104.39/15.43	    (~ (((((~) @ (a @ '#sk89' @ '#sk90'))) |
104.39/15.43	         (((!!) @ (^[Y0 : reg]:
104.39/15.43	                     (((((o @ Y0 @ paris) | (o @ Y0 @ catalunya))) =>
104.39/15.43	                       (((o @ Y0 @ spain) | (o @ Y0 @ france))))))))))),
104.39/15.43	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl195])).
104.39/15.43	thf(zip_derived_cl197, plain, ( (a @ '#sk89' @ '#sk90')),
104.39/15.43	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl196])).
104.39/15.43	thf(zip_derived_cl132, plain,
104.39/15.43	    (![X2 : reg]: ( (c @ ('#sk4' @ X2) @ X2) |  ('#form12' @ X2))),
104.39/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl129])).
104.39/15.43	thf(zip_derived_cl198, plain,
104.39/15.43	    (~ (((!!) @ (^[Y0 : reg]:
104.39/15.43	                   (((((o @ Y0 @ paris) | (o @ Y0 @ catalunya))) =>
104.39/15.43	                     (((o @ Y0 @ spain) | (o @ Y0 @ france))))))))),
104.39/15.43	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl196])).
104.39/15.43	thf(zip_derived_cl199, plain,
104.39/15.43	    (~ (((((o @ '#sk91' @ paris) | (o @ '#sk91' @ catalunya))) =>
104.39/15.43	         (((o @ '#sk91' @ spain) | (o @ '#sk91' @ france)))))),
104.39/15.43	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl198])).
104.39/15.43	thf(zip_derived_cl201, plain,
104.39/15.43	    (~ (((o @ '#sk91' @ spain) | (o @ '#sk91' @ france)))),
104.39/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl199])).
104.39/15.43	thf(zip_derived_cl204, plain, (~ (o @ '#sk91' @ france)),
104.39/15.43	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl201])).
104.39/15.43	thf(zip_derived_cl207, plain,
104.39/15.43	    (~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ france))))))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl204, '3'])).
104.39/15.43	thf(zip_derived_cl210, plain,
104.39/15.43	    (![X2 : reg]: ~ (((p @ X2 @ '#sk91') & (p @ X2 @ france)))),
104.39/15.43	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl207])).
104.39/15.43	thf(zip_derived_cl213, plain,
104.39/15.43	    (![X2 : reg]: (~ (p @ X2 @ '#sk91') | ~ (p @ X2 @ france))),
104.39/15.43	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl210])).
104.39/15.43	thf(zip_derived_cl217, plain,
104.39/15.43	    (![X0 : reg]:
104.39/15.43	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91'))))))
104.39/15.43	        | ~ (p @ X0 @ france))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl213, '4'])).
104.39/15.43	thf(zip_derived_cl223, plain,
104.39/15.43	    (![X0 : reg]:
104.39/15.43	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ france))))))
104.39/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl217, '4'])).
104.39/15.43	thf(zip_derived_cl229, plain,
104.39/15.43	    (![X0 : reg]:
104.39/15.43	       (~ (((c @ ('#sk11' @ X0) @ X0) => (c @ ('#sk11' @ X0) @ france)))
104.39/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))))),
104.39/15.43	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl223])).
104.39/15.43	thf(zip_derived_cl236, plain,
104.39/15.43	    (![X0 : reg]:
104.39/15.43	       (~ (c @ ('#sk11' @ X0) @ france)
104.39/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))))),
104.39/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl229])).
104.39/15.43	thf(zip_derived_cl235, plain,
104.39/15.43	    (![X0 : reg]:
104.39/15.43	       ( (c @ ('#sk11' @ X0) @ X0)
104.39/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))))),
104.39/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl229])).
104.39/15.43	thf(zip_derived_cl243, plain,
104.39/15.43	    (![X0 : reg]:
104.39/15.43	       ( ('#form95' @ X0)
104.39/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))))),
104.39/15.43	    define([status(thm)])).
104.39/15.43	thf(zip_derived_cl246, plain,
104.39/15.43	    (![X0 : reg]: (~ ('#form95' @ X0) | ~ (c @ ('#sk11' @ X0) @ france))),
104.39/15.43	    inference('renaming', [status(thm)],
104.39/15.43	              [zip_derived_cl236, zip_derived_cl243])).
104.39/15.43	thf(zip_derived_cl200, plain,
104.39/15.43	    ( (((o @ '#sk91' @ paris) | (o @ '#sk91' @ catalunya)))),
104.39/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl199])).
104.39/15.43	thf(zip_derived_cl202, plain,
104.39/15.43	    (( (o @ '#sk91' @ paris) |  (o @ '#sk91' @ catalunya))),
104.39/15.43	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl200])).
104.39/15.43	thf(o, axiom, (o @ X0 @ X1) =>
104.39/15.43	  ((((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ X1)))))) = ($true))).
104.39/15.43	thf('10', plain,
104.39/15.43	    (![X0:reg,X1:reg]:
104.39/15.43	     ( ( o @ X0 @ X1 ) <=>
104.39/15.43	       ( ?[X6:reg]: ( ( p @ X6 @ X0 ) & ( p @ X6 @ X1 ) ) ) )),
104.39/15.43	    inference('rw.lit', [status(esa)], [o])).
104.39/15.43	thf(zip_derived_cl205, plain,
104.39/15.43	    (( (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ paris))))))
104.39/15.43	      |  (o @ '#sk91' @ catalunya))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl202, '10'])).
104.39/15.43	thf(zip_derived_cl208, plain,
104.39/15.43	    (( (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ catalunya))))))
104.39/15.43	      |  (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ paris)))))))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl205, '10'])).
104.39/15.43	thf(zip_derived_cl211, plain,
104.39/15.43	    (( (((p @ '#sk92' @ '#sk91') & (p @ '#sk92' @ catalunya)))
104.39/15.43	      |  (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ paris)))))))),
104.39/15.43	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl208])).
104.39/15.43	thf(zip_derived_cl215, plain,
104.39/15.43	    (( (p @ '#sk92' @ catalunya)
104.39/15.43	      |  (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ paris)))))))),
104.39/15.43	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl211])).
104.39/15.43	thf(zip_derived_cl214, plain,
104.39/15.43	    (( (p @ '#sk92' @ '#sk91')
104.39/15.43	      |  (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ paris)))))))),
104.39/15.43	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl211])).
104.39/15.43	thf(zip_derived_cl218, plain,
104.39/15.43	    ((~ ('#form93')
104.39/15.43	      |  (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ paris)))))))),
104.39/15.43	    define([status(thm)])).
104.39/15.43	thf(zip_derived_cl221, plain, (( ('#form93') |  (p @ '#sk92' @ catalunya))),
104.39/15.43	    inference('renaming', [status(thm)],
104.39/15.43	              [zip_derived_cl215, zip_derived_cl218])).
104.39/15.43	thf(zip_derived_cl227, plain,
104.39/15.43	    (( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ '#sk92') => (c @ Y0 @ catalunya))))))
104.39/15.43	      |  ('#form93'))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl221, '7'])).
104.39/15.43	thf(zip_derived_cl233, plain,
104.39/15.43	    (![X2 : reg]:
104.39/15.43	       ( (((c @ X2 @ '#sk92') => (c @ X2 @ catalunya))) |  ('#form93'))),
104.39/15.43	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl227])).
104.39/15.43	thf(zip_derived_cl240, plain,
104.39/15.43	    (![X2 : reg]:
104.39/15.43	       (~ (c @ X2 @ '#sk92') |  (c @ X2 @ catalunya) |  ('#form93'))),
104.39/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl233])).
104.39/15.43	thf(zip_derived_cl203, plain, (~ (o @ '#sk91' @ spain)),
104.39/15.43	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl201])).
104.39/15.43	thf(zip_derived_cl206, plain,
104.39/15.43	    (~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ spain))))))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl203, '3'])).
104.39/15.43	thf(zip_derived_cl209, plain,
104.39/15.43	    (![X2 : reg]: ~ (((p @ X2 @ '#sk91') & (p @ X2 @ spain)))),
104.39/15.43	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl206])).
104.39/15.43	thf(zip_derived_cl212, plain,
104.39/15.43	    (![X2 : reg]: (~ (p @ X2 @ '#sk91') | ~ (p @ X2 @ spain))),
104.39/15.43	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl209])).
104.39/15.43	thf(zip_derived_cl216, plain,
104.39/15.43	    (![X0 : reg]:
104.39/15.43	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91'))))))
104.39/15.43	        | ~ (p @ X0 @ spain))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl212, '4'])).
104.39/15.43	thf(zip_derived_cl222, plain,
104.39/15.43	    (![X0 : reg]:
104.39/15.43	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ spain))))))
104.39/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl216, '4'])).
104.39/15.43	thf(zip_derived_cl128, plain,
104.39/15.43	    (![X2 : reg]:
104.39/15.43	       ( ('#form12' @ X2)
104.39/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))),
104.39/15.43	    define([status(thm)])).
104.39/15.43	thf(zip_derived_cl228, plain,
104.39/15.43	    (![X0 : reg]:
104.39/15.43	       (~ ('#form12' @ X0)
104.39/15.43	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))))),
104.39/15.43	    inference('renaming', [status(thm)],
104.39/15.43	              [zip_derived_cl222, zip_derived_cl128])).
104.39/15.43	thf(zip_derived_cl234, plain,
104.39/15.43	    (![X0 : reg]:
104.39/15.43	       (~ (((c @ ('#sk94' @ X0) @ X0) => (c @ ('#sk94' @ X0) @ '#sk91')))
104.39/15.43	        | ~ ('#form12' @ X0))),
104.39/15.43	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl228])).
104.39/15.43	thf(zip_derived_cl242, plain,
104.39/15.43	    (![X0 : reg]: (~ (c @ ('#sk94' @ X0) @ '#sk91') | ~ ('#form12' @ X0))),
104.39/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl234])).
104.39/15.43	thf(zip_derived_cl241, plain,
104.39/15.43	    (![X0 : reg]: ( (c @ ('#sk94' @ X0) @ X0) | ~ ('#form12' @ X0))),
104.39/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl234])).
104.39/15.43	thf(zip_derived_cl214, plain,
104.39/15.43	    (( (p @ '#sk92' @ '#sk91')
104.39/15.43	      |  (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ paris)))))))),
104.39/15.43	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl211])).
104.39/15.43	thf(zip_derived_cl218, plain,
104.39/15.43	    ((~ ('#form93')
104.39/15.43	      |  (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ paris)))))))),
104.39/15.43	    define([status(thm)])).
104.39/15.43	thf(zip_derived_cl220, plain, (( ('#form93') |  (p @ '#sk92' @ '#sk91'))),
104.39/15.43	    inference('renaming', [status(thm)],
104.39/15.43	              [zip_derived_cl214, zip_derived_cl218])).
104.39/15.43	thf(zip_derived_cl224, plain,
104.39/15.43	    (( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ '#sk92') => (c @ Y0 @ '#sk91'))))))
104.39/15.43	      |  ('#form93'))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl220, '7'])).
104.39/15.43	thf(zip_derived_cl230, plain,
104.39/15.43	    (![X2 : reg]:
104.39/15.43	       ( (((c @ X2 @ '#sk92') => (c @ X2 @ '#sk91'))) |  ('#form93'))),
104.39/15.43	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl224])).
104.39/15.43	thf(zip_derived_cl237, plain,
104.39/15.43	    (![X2 : reg]: (~ (c @ X2 @ '#sk92') |  (c @ X2 @ '#sk91') |  ('#form93'))),
104.39/15.43	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl230])).
104.39/15.43	thf(ax3, axiom,
104.39/15.43	  (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( ntpp @ paris @ france ) ) ))).
104.39/15.43	thf(zip_derived_cl5, plain,
104.39/15.43	    ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france))))),
104.39/15.43	    inference('cnf', [status(esa)], [ax3])).
104.39/15.43	thf(zip_derived_cl60, plain,
104.39/15.43	    ( (((!!) @ (^[Y0 : $i]:
104.39/15.43	                  (mbox @ a @ (^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl5, '0'])).
104.39/15.43	thf(zip_derived_cl61, plain,
104.39/15.43	    (![X2 : $i]:  (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)) @ X2)),
104.39/15.43	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl60])).
104.39/15.43	thf(zip_derived_cl62, plain,
104.39/15.43	    (![X0 : $i]:
104.39/15.43	        (((!!) @ (^[Y0 : $i]:
104.39/15.43	                    (((((~) @ (a @ X0 @ Y0))) |
104.39/15.43	                      ((^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))))),
104.39/15.43	    inference('rw_clause', [status(thm)], [zip_derived_cl61, '1'])).
104.39/15.43	thf(zip_derived_cl63, plain,
104.39/15.43	    (![X0 : $i]:
104.39/15.43	        (((!!) @ (^[Y0 : $i]:
104.39/15.43	                    (((((~) @ (a @ X0 @ Y0))) | (ntpp @ paris @ france))))))),
104.39/15.43	    inference('ho_norm', [status(thm)], [zip_derived_cl62])).
104.39/15.43	thf(zip_derived_cl64, plain,
104.39/15.44	    (![X0 : $i, X2 : $i]:
104.39/15.44	        (((((~) @ (a @ X0 @ X2))) | (ntpp @ paris @ france)))),
104.39/15.44	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])).
104.39/15.44	thf(zip_derived_cl65, plain,
104.39/15.44	    (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) |  (ntpp @ paris @ france))),
104.39/15.44	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl64])).
104.39/15.44	thf(ntpp, axiom, (ntpp @ X0 @ X1) =>
104.39/15.44	  ((((((~) @ (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))))) &
104.39/15.44	     (pp @ X0 @ X1)))
104.39/15.44	   = ($true))).
104.39/15.44	thf('11', plain,
104.39/15.44	    (![X0:reg,X1:reg]:
104.39/15.44	     ( ( ntpp @ X0 @ X1 ) <=>
104.39/15.44	       ( ( pp @ X0 @ X1 ) & 
104.39/15.44	         ( ~( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) ) )),
104.39/15.44	    inference('rw.lit', [status(esa)], [ntpp])).
104.39/15.44	thf(zip_derived_cl66, plain,
104.39/15.44	    (![X0 : $i, X1 : $i]:
104.39/15.44	       ( (((((~) @ (((??) @ (^[Y0 : reg]:
104.39/15.44	                               (((ec @ Y0 @ paris) & (ec @ Y0 @ france)))))))) &
104.39/15.44	           (pp @ paris @ france)))
104.39/15.44	        | ~ (a @ X1 @ X0))),
104.39/15.44	    inference('rw_clause', [status(thm)], [zip_derived_cl65, '11'])).
104.39/15.44	thf(zip_derived_cl68, plain,
104.39/15.44	    (![X0 : $i, X1 : $i]: ( (pp @ paris @ france) | ~ (a @ X1 @ X0))),
104.39/15.44	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl66])).
104.39/15.44	thf(zip_derived_cl70, plain,
104.39/15.44	    (![X0 : $i, X1 : $i]:
104.39/15.44	       ( (((((~) @ (p @ france @ paris))) & (p @ paris @ france)))
104.39/15.44	        | ~ (a @ X1 @ X0))),
104.39/15.44	    inference('rw_clause', [status(thm)], [zip_derived_cl68, '6'])).
104.39/15.44	thf(zip_derived_cl73, plain,
104.39/15.44	    (![X0 : $i, X1 : $i]: ( (p @ paris @ france) | ~ (a @ X1 @ X0))),
104.39/15.44	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl70])).
104.39/15.44	thf(zip_derived_cl76, plain,
104.39/15.44	    (![X0 : $i, X1 : $i]:
104.39/15.44	       ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ france))))))
104.39/15.44	        | ~ (a @ X1 @ X0))),
104.39/15.44	    inference('rw_clause', [status(thm)], [zip_derived_cl73, '7'])).
104.39/15.44	thf(zip_derived_cl79, plain,
104.39/15.44	    (![X0 : $i, X1 : $i, X3 : reg]:
104.39/15.44	       ( (((c @ X3 @ paris) => (c @ X3 @ france))) | ~ (a @ X1 @ X0))),
104.39/15.44	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl76])).
104.39/15.44	thf(zip_derived_cl83, plain,
104.39/15.44	    (![X0 : $i, X1 : $i, X3 : reg]:
104.39/15.44	       (~ (c @ X3 @ paris) |  (c @ X3 @ france) | ~ (a @ X1 @ X0))),
104.39/15.44	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
104.39/15.44	thf(zip_derived_cl243, plain,
104.39/15.44	    (![X0 : reg]:
104.39/15.44	       ( ('#form95' @ X0)
104.39/15.44	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))))),
104.39/15.44	    define([status(thm)])).
104.39/15.44	thf(zip_derived_cl244, plain,
104.39/15.44	    (![X0 : reg]:
104.39/15.44	       (~ (((c @ ('#sk94' @ X0) @ X0) => (c @ ('#sk94' @ X0) @ '#sk91')))
104.39/15.44	        |  ('#form95' @ X0))),
104.39/15.44	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl243])).
104.39/15.44	thf(zip_derived_cl249, plain,
104.39/15.44	    (![X0 : reg]: ( (c @ ('#sk94' @ X0) @ X0) |  ('#form95' @ X0))),
104.39/15.44	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl244])).
104.39/15.44	thf(zip_derived_cl235, plain,
104.39/15.44	    (![X0 : reg]:
104.39/15.44	       ( (c @ ('#sk11' @ X0) @ X0)
104.39/15.44	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))))),
104.39/15.44	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl229])).
104.39/15.44	thf(zip_derived_cl243, plain,
104.39/15.44	    (![X0 : reg]:
104.39/15.44	       ( ('#form95' @ X0)
104.39/15.44	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))))),
104.39/15.44	    define([status(thm)])).
104.39/15.44	thf(zip_derived_cl245, plain,
104.39/15.44	    (![X0 : reg]: (~ ('#form95' @ X0) |  (c @ ('#sk11' @ X0) @ X0))),
104.39/15.44	    inference('renaming', [status(thm)],
104.39/15.44	              [zip_derived_cl235, zip_derived_cl243])).
104.39/15.44	thf(zip_derived_cl218, plain,
104.39/15.44	    ((~ ('#form93')
104.39/15.44	      |  (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk91') & (p @ Y0 @ paris)))))))),
104.39/15.44	    define([status(thm)])).
104.39/15.44	thf(zip_derived_cl219, plain,
104.39/15.44	    (( (((p @ ('#sk9' @ '#sk91') @ '#sk91') & (p @ ('#sk9' @ '#sk91') @ 
104.39/15.44	         paris)))
104.39/15.44	      | ~ ('#form93'))),
104.39/15.44	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl218])).
104.39/15.44	thf(zip_derived_cl226, plain,
104.39/15.44	    (( (p @ ('#sk9' @ '#sk91') @ paris) | ~ ('#form93'))),
104.39/15.44	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl219])).
104.39/15.44	thf(zip_derived_cl232, plain,
104.39/15.44	    (( (((!!) @ (^[Y0 : reg]:
104.39/15.44	                   (((c @ Y0 @ ('#sk9' @ '#sk91')) => (c @ Y0 @ paris))))))
104.39/15.44	      | ~ ('#form93'))),
104.39/15.44	    inference('rw_clause', [status(thm)], [zip_derived_cl226, '7'])).
104.39/15.44	thf(zip_derived_cl239, plain,
104.39/15.44	    (![X2 : reg]:
104.39/15.44	       ( (((c @ X2 @ ('#sk9' @ '#sk91')) => (c @ X2 @ paris)))
104.39/15.44	        | ~ ('#form93'))),
104.39/15.44	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl232])).
104.39/15.44	thf(zip_derived_cl248, plain,
104.39/15.44	    (![X2 : reg]:
104.39/15.44	       (~ (c @ X2 @ ('#sk9' @ '#sk91')) |  (c @ X2 @ paris) | ~ ('#form93'))),
104.39/15.44	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl239])).
104.39/15.44	thf(zip_derived_cl250, plain,
104.39/15.44	    (![X0 : reg]: (~ (c @ ('#sk94' @ X0) @ '#sk91') |  ('#form95' @ X0))),
104.39/15.44	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl244])).
104.39/15.44	thf(zip_derived_cl225, plain,
104.39/15.44	    (( (p @ ('#sk9' @ '#sk91') @ '#sk91') | ~ ('#form93'))),
104.39/15.44	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl219])).
104.39/15.44	thf(zip_derived_cl231, plain,
104.39/15.44	    (( (((!!) @ (^[Y0 : reg]:
104.39/15.44	                   (((c @ Y0 @ ('#sk9' @ '#sk91')) => (c @ Y0 @ '#sk91'))))))
104.39/15.44	      | ~ ('#form93'))),
104.39/15.44	    inference('rw_clause', [status(thm)], [zip_derived_cl225, '7'])).
104.39/15.44	thf(zip_derived_cl238, plain,
104.39/15.44	    (![X2 : reg]:
104.39/15.44	       ( (((c @ X2 @ ('#sk9' @ '#sk91')) => (c @ X2 @ '#sk91')))
104.39/15.44	        | ~ ('#form93'))),
104.39/15.44	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl231])).
104.39/15.44	thf(zip_derived_cl247, plain,
104.39/15.44	    (![X2 : reg]:
104.39/15.44	       (~ (c @ X2 @ ('#sk9' @ '#sk91')) |  (c @ X2 @ '#sk91') | ~ ('#form93'))),
104.39/15.44	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl238])).
104.39/15.44	thf(zip_derived_cl8595, plain, ($false),
104.39/15.44	    inference('eprover', [status(thm)],
104.39/15.44	              [zip_derived_cl133, zip_derived_cl39, zip_derived_cl197, 
104.39/15.44	               zip_derived_cl132, zip_derived_cl246, zip_derived_cl240, 
104.39/15.44	               zip_derived_cl242, zip_derived_cl241, zip_derived_cl237, 
104.39/15.44	               zip_derived_cl83, zip_derived_cl249, zip_derived_cl245, 
104.39/15.44	               zip_derived_cl248, zip_derived_cl250, zip_derived_cl247])).
104.39/15.44	
104.39/15.44	% SZS output end Refutation
104.39/15.44	
104.39/15.44	
104.39/15.44	% Terminating...
104.39/15.52	% Runner terminated.
18.46/15.56	% Zipperpin 1.5 exiting
18.46/15.57	EOF