0.07/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.13	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ooIXsQue0q true
0.12/0.32	% Computer : n021.cluster.edu
0.12/0.32	% Model    : x86_64 x86_64
0.12/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.32	% Memory   : 8042.1875MB
0.12/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 960
0.12/0.33	% WCLimit  : 120
0.12/0.33	% DateTime : Tue Aug  9 04:54:35 EDT 2022
0.12/0.33	% CPUTime  : 
0.12/0.33	% Running portfolio for 960 s
0.12/0.33	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.12/0.33	% Number of cores: 8
0.12/0.33	% Python version: Python 3.6.8
0.12/0.33	% Running in HO mode
0.51/0.65	% Total configuration time : 828
0.51/0.65	% Estimated wc time : 1656
0.51/0.65	% Estimated cpu time (8 cpus) : 207.0
0.52/0.72	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
0.52/0.72	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
0.52/0.73	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
0.52/0.73	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
0.52/0.73	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
0.52/0.73	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
0.52/0.74	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
0.52/0.74	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.53/0.78	% /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
0.54/0.82	% /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
37.57/5.38	% Solved by lams/30_b.l.sh.
37.57/5.38	% done 463 iterations in 4.541s
37.57/5.38	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
37.57/5.38	% SZS output start Refutation
37.57/5.38	thf(reg_type, type, reg: $tType).
37.57/5.38	thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
37.57/5.38	thf(paris_type, type, paris: reg).
37.57/5.38	thf(ntpp_type, type, ntpp: reg > reg > $o).
37.57/5.38	thf(a_type, type, a: $i > $i > $o).
37.57/5.38	thf('#form7_type', type, '#form7': reg > $o).
37.57/5.38	thf(pp_type, type, pp: reg > reg > $o).
37.57/5.38	thf('#sk1_type', type, '#sk1': $i).
37.57/5.38	thf(france_type, type, france: reg).
37.57/5.38	thf('#sk2_type', type, '#sk2': $i).
37.57/5.38	thf(ec_type, type, ec: reg > reg > $o).
37.57/5.38	thf('#sk5_type', type, '#sk5': reg > reg).
37.57/5.38	thf('#sk6_type', type, '#sk6': reg > reg).
37.57/5.38	thf(o_type, type, o: reg > reg > $o).
37.57/5.38	thf('#form4_type', type, '#form4': reg > $o).
37.57/5.38	thf(c_type, type, c: reg > reg > $o).
37.57/5.38	thf('#sk3_type', type, '#sk3': reg > reg).
37.57/5.38	thf('#form8_type', type, '#form8': reg > $o).
37.57/5.38	thf(p_type, type, p: reg > reg > $o).
37.57/5.38	thf(catalunya_type, type, catalunya: reg).
37.57/5.38	thf(spain_type, type, spain: reg).
37.57/5.38	thf(tpp_type, type, tpp: reg > reg > $o).
37.57/5.38	thf(mvalid_type, type, mvalid: ($i > $o) > $o).
37.57/5.38	thf(con, conjecture,
37.57/5.38	  (mvalid @
37.57/5.38	   ( mbox @
37.57/5.38	     a @ ( ^[X:$i]: ( ( o @ france @ paris ) & ( o @ catalunya @ spain ) ) ) ))).
37.57/5.38	thf(zf_stmt_0, negated_conjecture,
37.57/5.38	  (~( mvalid @
37.57/5.38	      ( mbox @
37.57/5.38	        a @ 
37.57/5.38	        ( ^[X:$i]: ( ( o @ france @ paris ) & ( o @ catalunya @ spain ) ) ) ) )),
37.57/5.38	  inference('cnf.neg', [status(esa)], [con])).
37.57/5.38	thf(zip_derived_cl8, plain,
37.57/5.38	    (~ (mvalid @ 
37.57/5.38	        (mbox @ a @ 
37.57/5.38	         (^[Y0 : $i]: (((o @ france @ paris) & (o @ catalunya @ spain))))))),
37.57/5.38	    inference('cnf', [status(esa)], [zf_stmt_0])).
37.57/5.38	thf(mvalid, axiom, ~ (mvalid @ X0) =>
37.57/5.38	  ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))).
37.57/5.38	thf('0', plain,
37.57/5.38	    (![X0:( $i > $o )]:
37.57/5.38	     ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )),
37.57/5.38	    inference('rw.lit', [status(esa)], [mvalid])).
37.57/5.38	thf(zip_derived_cl9, plain,
37.57/5.38	    (~ (((!!) @ (^[Y0 : $i]:
37.57/5.38	                   (mbox @ a @ 
37.57/5.38	                    (^[Y1 : $i]:
37.57/5.38	                       (((o @ france @ paris) & (o @ catalunya @ spain)))) @ 
37.57/5.38	                    Y0))))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl8, '0'])).
37.57/5.38	thf(zip_derived_cl10, plain,
37.57/5.38	    (~ (mbox @ a @ 
37.57/5.38	        (^[Y0 : $i]: (((o @ france @ paris) & (o @ catalunya @ spain)))) @ 
37.57/5.38	        '#sk1')),
37.57/5.38	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
37.57/5.38	thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
37.57/5.38	  ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) !=
37.57/5.38	   ($true))).
37.57/5.38	thf('1', plain,
37.57/5.38	    (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
37.57/5.38	     ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
37.57/5.38	       ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )),
37.57/5.38	    inference('rw.lit', [status(esa)], [mbox])).
37.57/5.38	thf(zip_derived_cl11, plain,
37.57/5.38	    (~ (((!!) @ (^[Y0 : $i]:
37.57/5.38	                   (((((~) @ (a @ '#sk1' @ Y0))) |
37.57/5.38	                     ((^[Y1 : $i]:
37.57/5.38	                         (((o @ france @ paris) & (o @ catalunya @ spain)))) @ 
37.57/5.38	                     Y0))))))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl10, '1'])).
37.57/5.38	thf(zip_derived_cl12, plain,
37.57/5.38	    (~ (((!!) @ (^[Y0 : $i]:
37.57/5.38	                   (((((~) @ (a @ '#sk1' @ Y0))) |
37.57/5.38	                     (((o @ france @ paris) & (o @ catalunya @ spain))))))))),
37.57/5.38	    inference('ho_norm', [status(thm)], [zip_derived_cl11])).
37.57/5.38	thf(zip_derived_cl13, plain,
37.57/5.38	    (~ (((((~) @ (a @ '#sk1' @ '#sk2'))) |
37.57/5.38	         (((o @ france @ paris) & (o @ catalunya @ spain)))))),
37.57/5.38	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])).
37.57/5.38	thf(zip_derived_cl15, plain,
37.57/5.38	    (~ (((o @ france @ paris) & (o @ catalunya @ spain)))),
37.57/5.38	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
37.57/5.38	thf(zip_derived_cl16, plain,
37.57/5.38	    ((~ (o @ france @ paris) | ~ (o @ catalunya @ spain))),
37.57/5.38	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
37.57/5.38	thf(o, axiom, ~ (o @ X0 @ X1) =>
37.57/5.38	  ((((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ X1)))))) != ($true))).
37.57/5.38	thf('2', plain,
37.57/5.38	    (![X0:reg,X1:reg]:
37.57/5.38	     ( ( ~( o @ X0 @ X1 ) ) <=>
37.57/5.38	       ( ~( ?[X6:reg]: ( ( p @ X6 @ X0 ) & ( p @ X6 @ X1 ) ) ) ) )),
37.57/5.38	    inference('rw.lit', [status(esa)], [o])).
37.57/5.38	thf(zip_derived_cl17, plain,
37.57/5.38	    ((~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
37.57/5.38	      | ~ (o @ catalunya @ spain))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl16, '2'])).
37.57/5.38	thf(zip_derived_cl18, plain,
37.57/5.38	    ((~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ catalunya) & (p @ Y0 @ spain))))))
37.57/5.38	      | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris)))))))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl17, '2'])).
37.57/5.38	thf(zip_derived_cl19, plain,
37.57/5.38	    (![X2 : reg]:
37.57/5.38	       (~ (((p @ X2 @ catalunya) & (p @ X2 @ spain)))
37.57/5.38	        | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris)))))))),
37.57/5.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])).
37.57/5.38	thf(zip_derived_cl20, plain,
37.57/5.38	    (![X2 : reg]:
37.57/5.38	       (~ (p @ X2 @ catalunya)
37.57/5.38	        | ~ (p @ X2 @ spain)
37.57/5.38	        | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris)))))))),
37.57/5.38	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])).
37.57/5.38	thf(p, axiom, ~ (p @ X0 @ X1) =>
37.57/5.38	  ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) != ($true))).
37.57/5.38	thf('3', plain,
37.57/5.38	    (![X0:reg,X1:reg]:
37.57/5.38	     ( ( ~( p @ X0 @ X1 ) ) <=>
37.57/5.38	       ( ~( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) ) )),
37.57/5.38	    inference('rw.lit', [status(esa)], [p])).
37.57/5.38	thf(zip_derived_cl21, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya))))))
37.57/5.38	        | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
37.57/5.38	        | ~ (p @ X0 @ spain))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl20, '3'])).
37.57/5.38	thf(zip_derived_cl22, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ spain))))))
37.57/5.38	        | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl21, '3'])).
37.57/5.38	thf(zip_derived_cl23, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       (~ (((c @ ('#sk3' @ X0) @ X0) => (c @ ('#sk3' @ X0) @ spain)))
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya))))))
37.57/5.38	        | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris)))))))),
37.57/5.38	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl22])).
37.57/5.38	thf(zip_derived_cl24, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       ( (c @ ('#sk3' @ X0) @ X0)
37.57/5.38	        | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
37.57/5.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
37.57/5.38	thf(zip_derived_cl24, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       ( (c @ ('#sk3' @ X0) @ X0)
37.57/5.38	        | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
37.57/5.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
37.57/5.38	thf(zip_derived_cl26, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       ( ('#form4' @ X0)
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
37.57/5.38	    define([status(thm)])).
37.57/5.38	thf(zip_derived_cl28, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       (~ ('#form4' @ X0)
37.57/5.38	        | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
37.57/5.38	        |  (c @ ('#sk3' @ X0) @ X0))),
37.57/5.38	    inference('renaming', [status(thm)], [zip_derived_cl24, zip_derived_cl26])).
37.57/5.38	thf(zip_derived_cl30, plain,
37.57/5.38	    (![X0 : reg, X2 : reg]:
37.57/5.38	       (~ (((p @ X2 @ france) & (p @ X2 @ paris)))
37.57/5.38	        |  (c @ ('#sk3' @ X0) @ X0)
37.57/5.38	        | ~ ('#form4' @ X0))),
37.57/5.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])).
37.57/5.38	thf(zip_derived_cl34, plain,
37.57/5.38	    (![X0 : reg, X2 : reg]:
37.57/5.38	       (~ (p @ X2 @ france)
37.57/5.38	        | ~ (p @ X2 @ paris)
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        |  (c @ ('#sk3' @ X0) @ X0))),
37.57/5.38	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])).
37.57/5.38	thf(zip_derived_cl36, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
37.57/5.38	        |  (c @ ('#sk3' @ X0) @ X0)
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        | ~ (p @ X1 @ paris))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl34, '3'])).
37.57/5.38	thf(zip_derived_cl38, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ paris))))))
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        |  (c @ ('#sk3' @ X0) @ X0)
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl36, '3'])).
37.57/5.38	thf(zip_derived_cl40, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris)))
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
37.57/5.38	        |  (c @ ('#sk3' @ X0) @ X0)
37.57/5.38	        | ~ ('#form4' @ X0))),
37.57/5.38	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl38])).
37.57/5.38	thf(zip_derived_cl42, plain,
37.57/5.38	    (![X1 : reg]:
37.57/5.38	       ( ('#form7' @ X1)
37.57/5.38	        | ~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris))))),
37.57/5.38	    define([status(thm)])).
37.57/5.38	thf(zip_derived_cl43, plain,
37.57/5.38	    (![X1 : reg]: ( (c @ ('#sk6' @ X1) @ X1) |  ('#form7' @ X1))),
37.57/5.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl42])).
37.57/5.38	thf(zip_derived_cl44, plain,
37.57/5.38	    (![X1 : reg]: (~ (c @ ('#sk6' @ X1) @ paris) |  ('#form7' @ X1))),
37.57/5.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl42])).
37.57/5.38	thf(zip_derived_cl251, plain, (( ('#form7' @ paris) |  ('#form7' @ paris))),
37.57/5.38	    inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl44])).
37.57/5.38	thf(zip_derived_cl254, plain, ( ('#form7' @ paris)),
37.57/5.38	    inference('simplify', [status(thm)], [zip_derived_cl251])).
37.57/5.38	thf(zip_derived_cl254, plain, ( ('#form7' @ paris)),
37.57/5.38	    inference('simplify', [status(thm)], [zip_derived_cl251])).
37.57/5.38	thf(zip_derived_cl40, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris)))
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
37.57/5.38	        |  (c @ ('#sk3' @ X0) @ X0)
37.57/5.38	        | ~ ('#form4' @ X0))),
37.57/5.38	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl38])).
37.57/5.38	thf(zip_derived_cl42, plain,
37.57/5.38	    (![X1 : reg]:
37.57/5.38	       ( ('#form7' @ X1)
37.57/5.38	        | ~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris))))),
37.57/5.38	    define([status(thm)])).
37.57/5.38	thf(zip_derived_cl45, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ ('#form7' @ X1)
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        |  (c @ ('#sk3' @ X0) @ X0)
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
37.57/5.38	    inference('renaming', [status(thm)], [zip_derived_cl40, zip_derived_cl42])).
37.57/5.38	thf(zip_derived_cl45, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ ('#form7' @ X1)
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        |  (c @ ('#sk3' @ X0) @ X0)
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
37.57/5.38	    inference('renaming', [status(thm)], [zip_derived_cl40, zip_derived_cl42])).
37.57/5.38	thf(zip_derived_cl47, plain,
37.57/5.38	    (![X1 : reg]:
37.57/5.38	       ( ('#form8' @ X1)
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
37.57/5.38	    define([status(thm)])).
37.57/5.38	thf(zip_derived_cl49, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ ('#form8' @ X1)
37.57/5.38	        |  (c @ ('#sk3' @ X0) @ X0)
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        | ~ ('#form7' @ X1))),
37.57/5.38	    inference('renaming', [status(thm)], [zip_derived_cl45, zip_derived_cl47])).
37.57/5.38	thf(ax1, axiom,
37.57/5.38	  (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( tpp @ catalunya @ spain ) ) ))).
37.57/5.38	thf(zip_derived_cl5, plain,
37.57/5.38	    ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain))))),
37.57/5.38	    inference('cnf', [status(esa)], [ax1])).
37.57/5.38	thf(mvalid, axiom, (mvalid @ X0) =>
37.57/5.38	  ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
37.57/5.38	thf('4', plain,
37.57/5.38	    (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
37.57/5.38	    inference('rw.lit', [status(esa)], [mvalid])).
37.57/5.38	thf(zip_derived_cl53, plain,
37.57/5.38	    ( (((!!) @ (^[Y0 : $i]:
37.57/5.38	                  (mbox @ a @ (^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl5, '4'])).
37.57/5.38	thf(zip_derived_cl54, plain,
37.57/5.38	    (![X2 : $i]:  (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)) @ X2)),
37.57/5.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl53])).
37.57/5.38	thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
37.57/5.38	  ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) =
37.57/5.38	   ($true))).
37.57/5.38	thf('5', plain,
37.57/5.38	    (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
37.57/5.38	     ( ( mbox @ X0 @ X1 @ X2 ) <=>
37.57/5.38	       ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )),
37.57/5.38	    inference('rw.lit', [status(esa)], [mbox])).
37.57/5.38	thf(zip_derived_cl55, plain,
37.57/5.38	    (![X0 : $i]:
37.57/5.38	        (((!!) @ (^[Y0 : $i]:
37.57/5.38	                    (((((~) @ (a @ X0 @ Y0))) |
37.57/5.38	                      ((^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl54, '5'])).
37.57/5.38	thf(zip_derived_cl56, plain,
37.57/5.38	    (![X0 : $i]:
37.57/5.38	        (((!!) @ (^[Y0 : $i]:
37.57/5.38	                    (((((~) @ (a @ X0 @ Y0))) | (tpp @ catalunya @ spain))))))),
37.57/5.38	    inference('ho_norm', [status(thm)], [zip_derived_cl55])).
37.57/5.38	thf(zip_derived_cl57, plain,
37.57/5.38	    (![X0 : $i, X2 : $i]:
37.57/5.38	        (((((~) @ (a @ X0 @ X2))) | (tpp @ catalunya @ spain)))),
37.57/5.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl56])).
37.57/5.38	thf(zip_derived_cl58, plain,
37.57/5.38	    (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) |  (tpp @ catalunya @ spain))),
37.57/5.38	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl57])).
37.57/5.38	thf(tpp, axiom, (tpp @ X0 @ X1) =>
37.57/5.38	  ((((((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))) & (pp @ 
37.57/5.38	     X0 @ X1)))
37.57/5.38	   = ($true))).
37.57/5.38	thf('6', plain,
37.57/5.38	    (![X0:reg,X1:reg]:
37.57/5.38	     ( ( tpp @ X0 @ X1 ) <=>
37.57/5.38	       ( ( pp @ X0 @ X1 ) & 
37.57/5.38	         ( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) )),
37.57/5.38	    inference('rw.lit', [status(esa)], [tpp])).
37.57/5.38	thf(zip_derived_cl59, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]:
37.57/5.38	       ( (((((??) @ (^[Y0 : reg]:
37.57/5.38	                       (((ec @ Y0 @ catalunya) & (ec @ Y0 @ spain)))))) &
37.57/5.38	           (pp @ catalunya @ spain)))
37.57/5.38	        | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl58, '6'])).
37.57/5.38	thf(zip_derived_cl61, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]: ( (pp @ catalunya @ spain) | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])).
37.57/5.38	thf(pp, axiom, (pp @ X0 @ X1) =>
37.57/5.38	  ((((((~) @ (p @ X1 @ X0))) & (p @ X0 @ X1))) = ($true))).
37.57/5.38	thf('7', plain,
37.57/5.38	    (![X0:reg,X1:reg]:
37.57/5.38	     ( ( pp @ X0 @ X1 ) <=> ( ( p @ X0 @ X1 ) & ( ~( p @ X1 @ X0 ) ) ) )),
37.57/5.38	    inference('rw.lit', [status(esa)], [pp])).
37.57/5.38	thf(zip_derived_cl63, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]:
37.57/5.38	       ( (((((~) @ (p @ spain @ catalunya))) & (p @ catalunya @ spain)))
37.57/5.38	        | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl61, '7'])).
37.57/5.38	thf(zip_derived_cl67, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]: ( (p @ catalunya @ spain) | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])).
37.57/5.38	thf(p, axiom, (p @ X0 @ X1) =>
37.57/5.38	  ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) = ($true))).
37.57/5.38	thf('8', plain,
37.57/5.38	    (![X0:reg,X1:reg]:
37.57/5.38	     ( ( p @ X0 @ X1 ) <=>
37.57/5.38	       ( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) )),
37.57/5.38	    inference('rw.lit', [status(esa)], [p])).
37.57/5.38	thf(zip_derived_cl71, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]:
37.57/5.38	       ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))
37.57/5.38	        | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl67, '8'])).
37.57/5.38	thf(zip_derived_cl77, plain,
37.57/5.38	    (![X0 : $i, X1 : $i, X3 : reg]:
37.57/5.38	       ( (((c @ X3 @ catalunya) => (c @ X3 @ spain))) | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl71])).
37.57/5.38	thf(zip_derived_cl80, plain,
37.57/5.38	    (![X0 : $i, X1 : $i, X3 : reg]:
37.57/5.38	       (~ (c @ X3 @ catalunya) |  (c @ X3 @ spain) | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl77])).
37.57/5.38	thf(zip_derived_cl14, plain, ( (a @ '#sk1' @ '#sk2')),
37.57/5.38	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
37.57/5.38	thf(zip_derived_cl457, plain,
37.57/5.38	    (![X0 : reg]: ( (c @ X0 @ spain) | ~ (c @ X0 @ catalunya))),
37.57/5.38	    inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl14])).
37.57/5.38	thf(zip_derived_cl25, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       (~ (c @ ('#sk3' @ X0) @ spain)
37.57/5.38	        | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
37.57/5.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
37.57/5.38	thf(zip_derived_cl26, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       ( ('#form4' @ X0)
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
37.57/5.38	    define([status(thm)])).
37.57/5.38	thf(zip_derived_cl29, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       (~ ('#form4' @ X0)
37.57/5.38	        | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
37.57/5.38	        | ~ (c @ ('#sk3' @ X0) @ spain))),
37.57/5.38	    inference('renaming', [status(thm)], [zip_derived_cl25, zip_derived_cl26])).
37.57/5.38	thf(zip_derived_cl33, plain,
37.57/5.38	    (![X0 : reg, X2 : reg]:
37.57/5.38	       (~ (((p @ X2 @ france) & (p @ X2 @ paris)))
37.57/5.38	        | ~ (c @ ('#sk3' @ X0) @ spain)
37.57/5.38	        | ~ ('#form4' @ X0))),
37.57/5.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])).
37.57/5.38	thf(zip_derived_cl35, plain,
37.57/5.38	    (![X0 : reg, X2 : reg]:
37.57/5.38	       (~ (p @ X2 @ france)
37.57/5.38	        | ~ (p @ X2 @ paris)
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        | ~ (c @ ('#sk3' @ X0) @ spain))),
37.57/5.38	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])).
37.57/5.38	thf(zip_derived_cl37, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
37.57/5.38	        | ~ (c @ ('#sk3' @ X0) @ spain)
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        | ~ (p @ X1 @ paris))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl35, '3'])).
37.57/5.38	thf(zip_derived_cl39, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ paris))))))
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        | ~ (c @ ('#sk3' @ X0) @ spain)
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl37, '3'])).
37.57/5.38	thf(zip_derived_cl41, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris)))
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
37.57/5.38	        | ~ (c @ ('#sk3' @ X0) @ spain)
37.57/5.38	        | ~ ('#form4' @ X0))),
37.57/5.38	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])).
37.57/5.38	thf(zip_derived_cl42, plain,
37.57/5.38	    (![X1 : reg]:
37.57/5.38	       ( ('#form7' @ X1)
37.57/5.38	        | ~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris))))),
37.57/5.38	    define([status(thm)])).
37.57/5.38	thf(zip_derived_cl46, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ ('#form7' @ X1)
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        | ~ (c @ ('#sk3' @ X0) @ spain)
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
37.57/5.38	    inference('renaming', [status(thm)], [zip_derived_cl41, zip_derived_cl42])).
37.57/5.38	thf(zip_derived_cl47, plain,
37.57/5.38	    (![X1 : reg]:
37.57/5.38	       ( ('#form8' @ X1)
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
37.57/5.38	    define([status(thm)])).
37.57/5.38	thf(zip_derived_cl50, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ ('#form8' @ X1)
37.57/5.38	        | ~ (c @ ('#sk3' @ X0) @ spain)
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        | ~ ('#form7' @ X1))),
37.57/5.38	    inference('renaming', [status(thm)], [zip_derived_cl46, zip_derived_cl47])).
37.57/5.38	thf(zip_derived_cl475, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ (c @ ('#sk3' @ X0) @ catalunya)
37.57/5.38	        | ~ ('#form7' @ X1)
37.57/5.38	        | ~ ('#form4' @ X0)
37.57/5.38	        | ~ ('#form8' @ X1))),
37.57/5.38	    inference('sup-', [status(thm)], [zip_derived_cl457, zip_derived_cl50])).
37.57/5.38	thf(zip_derived_cl4984, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ ('#form7' @ X1)
37.57/5.38	        | ~ ('#form4' @ catalunya)
37.57/5.38	        | ~ ('#form8' @ X1)
37.57/5.38	        | ~ ('#form8' @ X0)
37.57/5.38	        | ~ ('#form4' @ catalunya)
37.57/5.38	        | ~ ('#form7' @ X0))),
37.57/5.38	    inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl475])).
37.57/5.38	thf(zip_derived_cl26, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       ( ('#form4' @ X0)
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
37.57/5.38	    define([status(thm)])).
37.57/5.38	thf(zip_derived_cl27, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       (~ (((c @ ('#sk5' @ X0) @ X0) => (c @ ('#sk5' @ X0) @ catalunya)))
37.57/5.38	        |  ('#form4' @ X0))),
37.57/5.38	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl26])).
37.57/5.38	thf(zip_derived_cl31, plain,
37.57/5.38	    (![X0 : reg]: ( (c @ ('#sk5' @ X0) @ X0) |  ('#form4' @ X0))),
37.57/5.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])).
37.57/5.38	thf(zip_derived_cl32, plain,
37.57/5.38	    (![X0 : reg]: (~ (c @ ('#sk5' @ X0) @ catalunya) |  ('#form4' @ X0))),
37.57/5.38	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])).
37.57/5.38	thf(zip_derived_cl243, plain,
37.57/5.38	    (( ('#form4' @ catalunya) |  ('#form4' @ catalunya))),
37.57/5.38	    inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl32])).
37.57/5.38	thf(zip_derived_cl246, plain, ( ('#form4' @ catalunya)),
37.57/5.38	    inference('simplify', [status(thm)], [zip_derived_cl243])).
37.57/5.38	thf(zip_derived_cl246, plain, ( ('#form4' @ catalunya)),
37.57/5.38	    inference('simplify', [status(thm)], [zip_derived_cl243])).
37.57/5.38	thf(zip_derived_cl5032, plain,
37.57/5.38	    (![X0 : reg, X1 : reg]:
37.57/5.38	       (~ ('#form7' @ X1)
37.57/5.38	        | ~ ('#form8' @ X1)
37.57/5.38	        | ~ ('#form8' @ X0)
37.57/5.38	        | ~ ('#form7' @ X0))),
37.57/5.38	    inference('demod', [status(thm)],
37.57/5.38	              [zip_derived_cl4984, zip_derived_cl246, zip_derived_cl246])).
37.57/5.38	thf(zip_derived_cl5071, plain,
37.57/5.38	    (![X0 : reg]:
37.57/5.38	       (~ ('#form8' @ paris) | ~ ('#form8' @ X0) | ~ ('#form7' @ X0))),
37.57/5.38	    inference('sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl5032])).
37.57/5.38	thf(ax3, axiom,
37.57/5.38	  (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( ntpp @ paris @ france ) ) ))).
37.57/5.38	thf(zip_derived_cl6, plain,
37.57/5.38	    ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france))))),
37.57/5.38	    inference('cnf', [status(esa)], [ax3])).
37.57/5.38	thf(zip_derived_cl102, plain,
37.57/5.38	    ( (((!!) @ (^[Y0 : $i]:
37.57/5.38	                  (mbox @ a @ (^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl6, '4'])).
37.57/5.38	thf(zip_derived_cl103, plain,
37.57/5.38	    (![X2 : $i]:  (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)) @ X2)),
37.57/5.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl102])).
37.57/5.38	thf(zip_derived_cl104, plain,
37.57/5.38	    (![X0 : $i]:
37.57/5.38	        (((!!) @ (^[Y0 : $i]:
37.57/5.38	                    (((((~) @ (a @ X0 @ Y0))) |
37.57/5.38	                      ((^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl103, '5'])).
37.57/5.38	thf(zip_derived_cl105, plain,
37.57/5.38	    (![X0 : $i]:
37.57/5.38	        (((!!) @ (^[Y0 : $i]:
37.57/5.38	                    (((((~) @ (a @ X0 @ Y0))) | (ntpp @ paris @ france))))))),
37.57/5.38	    inference('ho_norm', [status(thm)], [zip_derived_cl104])).
37.57/5.38	thf(zip_derived_cl106, plain,
37.57/5.38	    (![X0 : $i, X2 : $i]:
37.57/5.38	        (((((~) @ (a @ X0 @ X2))) | (ntpp @ paris @ france)))),
37.57/5.38	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])).
37.57/5.38	thf(zip_derived_cl107, plain,
37.57/5.38	    (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) |  (ntpp @ paris @ france))),
37.57/5.38	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl106])).
37.57/5.38	thf(ntpp, axiom, (ntpp @ X0 @ X1) =>
37.57/5.38	  ((((((~) @ (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))))) &
37.57/5.38	     (pp @ X0 @ X1)))
37.57/5.38	   = ($true))).
37.57/5.38	thf('9', plain,
37.57/5.38	    (![X0:reg,X1:reg]:
37.57/5.38	     ( ( ntpp @ X0 @ X1 ) <=>
37.57/5.38	       ( ( pp @ X0 @ X1 ) & 
37.57/5.38	         ( ~( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) ) )),
37.57/5.38	    inference('rw.lit', [status(esa)], [ntpp])).
37.57/5.38	thf(zip_derived_cl108, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]:
37.57/5.38	       ( (((((~) @ (((??) @ (^[Y0 : reg]:
37.57/5.38	                               (((ec @ Y0 @ paris) & (ec @ Y0 @ france)))))))) &
37.57/5.38	           (pp @ paris @ france)))
37.57/5.38	        | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl107, '9'])).
37.57/5.38	thf(zip_derived_cl110, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]: ( (pp @ paris @ france) | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl108])).
37.57/5.38	thf(zip_derived_cl112, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]:
37.57/5.38	       ( (((((~) @ (p @ france @ paris))) & (p @ paris @ france)))
37.57/5.38	        | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl110, '7'])).
37.57/5.38	thf(zip_derived_cl115, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]: ( (p @ paris @ france) | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl112])).
37.57/5.38	thf(zip_derived_cl118, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]:
37.57/5.38	       ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ france))))))
37.57/5.38	        | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl115, '8'])).
37.57/5.38	thf(zip_derived_cl118, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]:
37.57/5.38	       ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ france))))))
37.57/5.38	        | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('rw_clause', [status(thm)], [zip_derived_cl115, '8'])).
37.57/5.38	thf(zip_derived_cl121, plain,
37.57/5.38	    (![X1 : reg]:
37.57/5.38	       (~ ('#form8' @ X1)
37.57/5.38	        |  (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
37.57/5.38	    define([status(thm)])).
37.57/5.38	thf(zip_derived_cl47, plain,
37.57/5.38	    (![X1 : reg]:
37.57/5.38	       ( ('#form8' @ X1)
37.57/5.38	        | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
37.57/5.38	    define([status(thm)])).
37.57/5.38	thf(zip_derived_cl123, plain,
37.57/5.38	    (![X0 : $i, X1 : $i]: ( ('#form8' @ paris) | ~ (a @ X1 @ X0))),
37.57/5.38	    inference('renaming', [status(thm)],
37.57/5.38	              [zip_derived_cl118, zip_derived_cl121, zip_derived_cl47])).
37.57/5.38	thf(zip_derived_cl14, plain, ( (a @ '#sk1' @ '#sk2')),
37.57/5.38	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
37.57/5.38	thf(zip_derived_cl238, plain, ( ('#form8' @ paris)),
37.57/5.38	    inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl14])).
37.57/5.38	thf(zip_derived_cl5159, plain,
37.57/5.38	    (![X0 : reg]: (~ ('#form8' @ X0) | ~ ('#form7' @ X0))),
37.57/5.38	    inference('demod', [status(thm)], [zip_derived_cl5071, zip_derived_cl238])).
37.57/5.38	thf(zip_derived_cl5225, plain, (~ ('#form8' @ paris)),
37.57/5.38	    inference('sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl5159])).
37.57/5.38	thf(zip_derived_cl238, plain, ( ('#form8' @ paris)),
37.57/5.38	    inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl14])).
37.57/5.38	thf(zip_derived_cl5263, plain, ($false),
37.57/5.38	    inference('demod', [status(thm)], [zip_derived_cl5225, zip_derived_cl238])).
37.57/5.38	
37.57/5.38	% SZS output end Refutation
37.57/5.38	
37.57/5.38	
37.57/5.38	% Terminating...
38.16/5.49	% Runner terminated.
38.19/5.51	% Zipperpin 1.5 exiting
38.19/5.51	EOF