TSTP Solution File: GEG011^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEG011^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9FHHEAzez7 true
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 30 22:42:15 EDT 2023
% Result : Theorem 84.85s 11.65s
% Output : Refutation 84.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEG011^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9FHHEAzez7 true
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 01:14:54 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.21/0.80 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.46/0.87 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 84.85/11.65 % Solved by lams/40_b.comb.sh.
% 84.85/11.65 % done 1480 iterations in 10.815s
% 84.85/11.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 84.85/11.65 % SZS output start Refutation
% 84.85/11.65 thf(reg_type, type, reg: $tType).
% 84.85/11.65 thf('#sk13_type', type, '#sk13': reg).
% 84.85/11.65 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 84.85/11.65 thf(paris_type, type, paris: reg).
% 84.85/11.65 thf(ntpp_type, type, ntpp: reg > reg > $o).
% 84.85/11.65 thf(a_type, type, a: $i > $i > $o).
% 84.85/11.65 thf('#sk11_type', type, '#sk11': $i).
% 84.85/11.65 thf('#sk2_type', type, '#sk2': reg).
% 84.85/11.65 thf(pp_type, type, pp: reg > reg > $o).
% 84.85/11.65 thf('#sk15_type', type, '#sk15': reg).
% 84.85/11.65 thf(france_type, type, france: reg).
% 84.85/11.65 thf('#sk16_type', type, '#sk16': reg).
% 84.85/11.65 thf('#sk6_type', type, '#sk6': reg > reg).
% 84.85/11.65 thf(ec_type, type, ec: reg > reg > $o).
% 84.85/11.65 thf(c_type, type, c: reg > reg > $o).
% 84.85/11.65 thf('#sk7_type', type, '#sk7': reg).
% 84.85/11.65 thf('#sk12_type', type, '#sk12': $i).
% 84.85/11.65 thf(p_type, type, p: reg > reg > $o).
% 84.85/11.65 thf(catalunya_type, type, catalunya: reg).
% 84.85/11.65 thf(spain_type, type, spain: reg).
% 84.85/11.65 thf(tpp_type, type, tpp: reg > reg > $o).
% 84.85/11.65 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 84.85/11.65 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 84.85/11.65 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 84.85/11.65 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 84.85/11.65 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 84.85/11.65 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 84.85/11.65 thf(con, conjecture,
% 84.85/11.65 (mvalid @
% 84.85/11.65 ( mbox @
% 84.85/11.65 a @
% 84.85/11.65 ( ^[X:$i]:
% 84.85/11.65 ( ![Z:reg]:
% 84.85/11.65 ( ( ( ntpp @ spain @ Z ) & ( ntpp @ france @ Z ) ) =>
% 84.85/11.65 ( ( pp @ catalunya @ Z ) & ( pp @ paris @ Z ) ) ) ) ) ))).
% 84.85/11.65 thf(zf_stmt_0, negated_conjecture,
% 84.85/11.65 (~( mvalid @
% 84.85/11.65 ( mbox @
% 84.85/11.65 a @
% 84.85/11.65 ( ^[X:$i]:
% 84.85/11.65 ( ![Z:reg]:
% 84.85/11.65 ( ( ( ntpp @ spain @ Z ) & ( ntpp @ france @ Z ) ) =>
% 84.85/11.65 ( ( pp @ catalunya @ Z ) & ( pp @ paris @ Z ) ) ) ) ) ) )),
% 84.85/11.65 inference('cnf.neg', [status(esa)], [con])).
% 84.85/11.65 thf(zip_derived_cl16, plain,
% 84.85/11.65 (~ (mvalid @
% 84.85/11.65 (mbox @ a @
% 84.85/11.65 (^[Y0 : $i]:
% 84.85/11.65 (((!!) @ (^[Y1 : reg]:
% 84.85/11.65 (((((ntpp @ spain @ Y1) & (ntpp @ france @ Y1))) =>
% 84.85/11.65 (((pp @ catalunya @ Y1) & (pp @ paris @ Y1)))))))))))),
% 84.85/11.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 84.85/11.65 thf(zip_derived_cl17, plain,
% 84.85/11.65 (~ (mvalid @
% 84.85/11.65 (mbox @ a @
% 84.85/11.65 ((('#K') @ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @
% 84.85/11.65 (ntpp @ spain))) @
% 84.85/11.65 (ntpp @ france))))) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @ (pp @ catalunya))) @
% 84.85/11.65 (pp @ paris)))))))))))),
% 84.85/11.65 inference('lams2combs', [status(thm)], [zip_derived_cl16])).
% 84.85/11.65 thf(mvalid, axiom, ~ (mvalid @ X0) =>
% 84.85/11.65 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))).
% 84.85/11.65 thf('0', plain,
% 84.85/11.65 (![X0:( $i > $o )]:
% 84.85/11.65 ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )),
% 84.85/11.65 inference('rw.lit', [status(esa)], [mvalid])).
% 84.85/11.65 thf(zip_derived_cl249, plain,
% 84.85/11.65 (~ (((!!) @ (^[Y0 : $i]:
% 84.85/11.65 (mbox @ a @
% 84.85/11.65 ((('#K') @ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (
% 84.85/11.65 &) @
% 84.85/11.65 (ntpp @
% 84.85/11.65 spain))) @
% 84.85/11.65 (ntpp @ france))))) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @
% 84.85/11.65 (pp @ catalunya))) @
% 84.85/11.65 (pp @ paris))))))))) @
% 84.85/11.65 Y0))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl17, '0'])).
% 84.85/11.65 thf(zip_derived_cl250, plain,
% 84.85/11.65 (~ (((!!) @ (mbox @ a @
% 84.85/11.65 ((('#K') @ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (
% 84.85/11.65 &) @
% 84.85/11.65 (ntpp @ spain))) @
% 84.85/11.65 (ntpp @ france))))) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @
% 84.85/11.65 (pp @ catalunya))) @
% 84.85/11.65 (pp @ paris))))))))))))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl249])).
% 84.85/11.65 thf(zip_derived_cl251, plain,
% 84.85/11.65 (~ (mbox @ a @
% 84.85/11.65 ((('#K') @ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @
% 84.85/11.65 (ntpp @ spain))) @
% 84.85/11.65 (ntpp @ france))))) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @ (pp @ catalunya))) @
% 84.85/11.65 (pp @ paris))))))))) @
% 84.85/11.65 '#sk11')),
% 84.85/11.65 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl250])).
% 84.85/11.65 thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
% 84.85/11.65 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) !=
% 84.85/11.65 ($true))).
% 84.85/11.65 thf('1', plain,
% 84.85/11.65 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 84.85/11.65 ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
% 84.85/11.65 ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )),
% 84.85/11.65 inference('rw.lit', [status(esa)], [mbox])).
% 84.85/11.65 thf(zip_derived_cl252, plain,
% 84.85/11.65 (~ (((!!) @ (^[Y0 : $i]:
% 84.85/11.65 (((((~) @ (a @ '#sk11' @ Y0))) |
% 84.85/11.65 ((('#K') @ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (
% 84.85/11.65 &) @
% 84.85/11.65 (ntpp @
% 84.85/11.65 spain))) @
% 84.85/11.65 (ntpp @ france))))) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @
% 84.85/11.65 (pp @ catalunya))) @
% 84.85/11.65 (pp @ paris))))))) @
% 84.85/11.65 Y0)))))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl251, '1'])).
% 84.85/11.65 thf(zip_derived_cl253, plain,
% 84.85/11.65 (~ (((!!) @ ((('#C') @ ((('#B') @ (|) @ ((('#B') @ (~) @ (a @ '#sk11'))))) @
% 84.85/11.65 (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @
% 84.85/11.65 (ntpp @ spain))) @
% 84.85/11.65 (ntpp @ france))))) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @ (pp @ catalunya))) @
% 84.85/11.65 (pp @ paris)))))))))))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl252])).
% 84.85/11.65 thf(zip_derived_cl254, plain,
% 84.85/11.65 (~ (((((~) @ (a @ '#sk11' @ '#sk12'))) |
% 84.85/11.65 (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @ (ntpp @ spain))) @
% 84.85/11.65 (ntpp @ france))))) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @ (pp @ catalunya))) @
% 84.85/11.65 (pp @ paris)))))))))),
% 84.85/11.65 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl253])).
% 84.85/11.65 thf(zip_derived_cl256, plain,
% 84.85/11.65 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @ (ntpp @ spain))) @
% 84.85/11.65 (ntpp @ france))))) @
% 84.85/11.65 ((('#S') @ ((('#B') @ (&) @ (pp @ catalunya))) @
% 84.85/11.65 (pp @ paris)))))))),
% 84.85/11.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl254])).
% 84.85/11.65 thf(zip_derived_cl257, plain,
% 84.85/11.65 (~ (((((ntpp @ spain @ '#sk13') & (ntpp @ france @ '#sk13'))) =>
% 84.85/11.65 (((pp @ catalunya @ '#sk13') & (pp @ paris @ '#sk13')))))),
% 84.85/11.65 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl256])).
% 84.85/11.65 thf(zip_derived_cl259, plain,
% 84.85/11.65 (~ (((pp @ catalunya @ '#sk13') & (pp @ paris @ '#sk13')))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl257])).
% 84.85/11.65 thf(zip_derived_cl262, plain,
% 84.85/11.65 ((~ (pp @ catalunya @ '#sk13') | ~ (pp @ paris @ '#sk13'))),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl259])).
% 84.85/11.65 thf(pp, axiom, ~ (pp @ X0 @ X1) =>
% 84.85/11.65 ((((p @ X0 @ X1) & (((~) @ (p @ X1 @ X0))))) != ($true))).
% 84.85/11.65 thf('2', plain,
% 84.85/11.65 (![X0:reg,X1:reg]:
% 84.85/11.65 ( ( ~( pp @ X0 @ X1 ) ) <=>
% 84.85/11.65 ( ~( ( p @ X0 @ X1 ) & ( ~( p @ X1 @ X0 ) ) ) ) )),
% 84.85/11.65 inference('rw.lit', [status(esa)], [pp])).
% 84.85/11.65 thf(zip_derived_cl265, plain,
% 84.85/11.65 ((~ (((p @ catalunya @ '#sk13') & (((~) @ (p @ '#sk13' @ catalunya)))))
% 84.85/11.65 | ~ (pp @ paris @ '#sk13'))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl262, '2'])).
% 84.85/11.65 thf(zip_derived_cl272, plain,
% 84.85/11.65 ((~ (((p @ paris @ '#sk13') & (((~) @ (p @ '#sk13' @ paris)))))
% 84.85/11.65 | ~ (((p @ catalunya @ '#sk13') & (((~) @ (p @ '#sk13' @ catalunya))))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl265, '2'])).
% 84.85/11.65 thf(zip_derived_cl277, plain,
% 84.85/11.65 ((~ (p @ paris @ '#sk13')
% 84.85/11.65 | (p @ '#sk13' @ paris)
% 84.85/11.65 | ~ (((p @ catalunya @ '#sk13') & (((~) @ (p @ '#sk13' @ catalunya))))))),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl272])).
% 84.85/11.65 thf(p, axiom, ~ (p @ X0 @ X1) =>
% 84.85/11.65 ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) != ($true))).
% 84.85/11.65 thf('3', plain,
% 84.85/11.65 (![X0:reg,X1:reg]:
% 84.85/11.65 ( ( ~( p @ X0 @ X1 ) ) <=>
% 84.85/11.65 ( ~( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) ) )),
% 84.85/11.65 inference('rw.lit', [status(esa)], [p])).
% 84.85/11.65 thf(zip_derived_cl284, plain,
% 84.85/11.65 ((~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ '#sk13'))))))
% 84.85/11.65 | ~ (((p @ catalunya @ '#sk13') & (((~) @ (p @ '#sk13' @ catalunya)))))
% 84.85/11.65 | (p @ '#sk13' @ paris))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl277, '3'])).
% 84.85/11.65 thf(zip_derived_cl291, plain,
% 84.85/11.65 ((~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))
% 84.85/11.65 | ~ (((p @ catalunya @ '#sk13') & (((~) @ (p @ '#sk13' @ catalunya)))))
% 84.85/11.65 | (p @ '#sk13' @ paris))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl284])).
% 84.85/11.65 thf(p, axiom, (p @ X0 @ X1) =>
% 84.85/11.65 ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) = ($true))).
% 84.85/11.65 thf('4', plain,
% 84.85/11.65 (![X0:reg,X1:reg]:
% 84.85/11.65 ( ( p @ X0 @ X1 ) <=>
% 84.85/11.65 ( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) )),
% 84.85/11.65 inference('rw.lit', [status(esa)], [p])).
% 84.85/11.65 thf(zip_derived_cl292, plain,
% 84.85/11.65 (( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ '#sk13') => (c @ Y0 @ paris))))))
% 84.85/11.65 | ~ (((p @ catalunya @ '#sk13') & (((~) @ (p @ '#sk13' @ catalunya)))))
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13')))))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl291, '4'])).
% 84.85/11.65 thf(zip_derived_cl303, plain,
% 84.85/11.65 (( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ '#sk13')))) @
% 84.85/11.65 ((('#C') @ c @ paris))))))
% 84.85/11.65 | ~ (((p @ catalunya @ '#sk13') & (((~) @ (p @ '#sk13' @ catalunya)))))
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13')))))))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl292])).
% 84.85/11.65 thf(zip_derived_cl304, plain,
% 84.85/11.65 (![X2 : reg]:
% 84.85/11.65 ( (((c @ X2 @ '#sk13') => (c @ X2 @ paris)))
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))
% 84.85/11.65 | ~ (((p @ catalunya @ '#sk13') & (((~) @ (p @ '#sk13' @ catalunya))))))),
% 84.85/11.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl303])).
% 84.85/11.65 thf(zip_derived_cl313, plain,
% 84.85/11.65 (![X2 : reg]:
% 84.85/11.65 (~ (c @ X2 @ '#sk13')
% 84.85/11.65 | (c @ X2 @ paris)
% 84.85/11.65 | ~ (((p @ catalunya @ '#sk13') & (((~) @ (p @ '#sk13' @ catalunya)))))
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13')))))))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl304])).
% 84.85/11.65 thf(zip_derived_cl316, plain,
% 84.85/11.65 (![X2 : reg]:
% 84.85/11.65 (~ (p @ catalunya @ '#sk13')
% 84.85/11.65 | (p @ '#sk13' @ catalunya)
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))
% 84.85/11.65 | (c @ X2 @ paris)
% 84.85/11.65 | ~ (c @ X2 @ '#sk13'))),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl313])).
% 84.85/11.65 thf(zip_derived_cl321, plain,
% 84.85/11.65 (![X0 : reg]:
% 84.85/11.65 (~ (((!!) @ (^[Y0 : reg]:
% 84.85/11.65 (((c @ Y0 @ catalunya) => (c @ Y0 @ '#sk13'))))))
% 84.85/11.65 | ~ (c @ X0 @ '#sk13')
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))
% 84.85/11.65 | (p @ '#sk13' @ catalunya))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl316, '3'])).
% 84.85/11.65 thf(zip_derived_cl326, plain,
% 84.85/11.65 (![X0 : reg]:
% 84.85/11.65 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ catalunya)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))
% 84.85/11.65 | ~ (c @ X0 @ '#sk13')
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))
% 84.85/11.65 | (p @ '#sk13' @ catalunya))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl321])).
% 84.85/11.65 thf(zip_derived_cl327, plain,
% 84.85/11.65 (![X0 : reg]:
% 84.85/11.65 ( (((!!) @ (^[Y0 : reg]:
% 84.85/11.65 (((c @ Y0 @ '#sk13') => (c @ Y0 @ catalunya))))))
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (c @ X0 @ '#sk13')
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ catalunya)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13')))))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl326, '4'])).
% 84.85/11.65 thf(zip_derived_cl332, plain,
% 84.85/11.65 (![X0 : reg]:
% 84.85/11.65 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ '#sk13')))) @
% 84.85/11.65 ((('#C') @ c @ catalunya))))))
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (c @ X0 @ '#sk13')
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ catalunya)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13')))))))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl327])).
% 84.85/11.65 thf(zip_derived_cl333, plain,
% 84.85/11.65 (![X0 : reg, X2 : reg]:
% 84.85/11.65 ( (((c @ X2 @ '#sk13') => (c @ X2 @ catalunya)))
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ catalunya)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))
% 84.85/11.65 | ~ (c @ X0 @ '#sk13')
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13')))))))),
% 84.85/11.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl332])).
% 84.85/11.65 thf(zip_derived_cl342, plain,
% 84.85/11.65 (![X0 : reg, X2 : reg]:
% 84.85/11.65 (~ (c @ X2 @ '#sk13')
% 84.85/11.65 | (c @ X2 @ catalunya)
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (c @ X0 @ '#sk13')
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ catalunya)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13')))))))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl333])).
% 84.85/11.65 thf(zip_derived_cl347, plain,
% 84.85/11.65 (![X0 : reg, X2 : reg]:
% 84.85/11.65 (~ (((c @ '#sk15' @ paris) => (c @ '#sk15' @ '#sk13')))
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ catalunya)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))
% 84.85/11.65 | ~ (c @ X0 @ '#sk13')
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | (c @ X2 @ catalunya)
% 84.85/11.65 | ~ (c @ X2 @ '#sk13'))),
% 84.85/11.65 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl342])).
% 84.85/11.65 thf(zip_derived_cl353, plain,
% 84.85/11.65 (![X0 : reg, X2 : reg]:
% 84.85/11.65 (~ (c @ '#sk15' @ '#sk13')
% 84.85/11.65 | ~ (c @ X2 @ '#sk13')
% 84.85/11.65 | (c @ X2 @ catalunya)
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (c @ X0 @ '#sk13')
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ catalunya)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13')))))))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl347])).
% 84.85/11.65 thf(zip_derived_cl359, plain,
% 84.85/11.65 (![X0 : reg, X2 : reg]:
% 84.85/11.65 (~ (((c @ '#sk16' @ catalunya) => (c @ '#sk16' @ '#sk13')))
% 84.85/11.65 | ~ (c @ X0 @ '#sk13')
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | (c @ X2 @ catalunya)
% 84.85/11.65 | ~ (c @ X2 @ '#sk13')
% 84.85/11.65 | ~ (c @ '#sk15' @ '#sk13'))),
% 84.85/11.65 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl353])).
% 84.85/11.65 thf(zip_derived_cl371, plain,
% 84.85/11.65 (![X0 : reg, X2 : reg]:
% 84.85/11.65 (~ (c @ '#sk16' @ '#sk13')
% 84.85/11.65 | ~ (c @ '#sk15' @ '#sk13')
% 84.85/11.65 | ~ (c @ X2 @ '#sk13')
% 84.85/11.65 | (c @ X2 @ catalunya)
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (c @ X0 @ '#sk13'))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl359])).
% 84.85/11.65 thf(zip_derived_cl258, plain,
% 84.85/11.65 ( (((ntpp @ spain @ '#sk13') & (ntpp @ france @ '#sk13')))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl257])).
% 84.85/11.65 thf(zip_derived_cl261, plain, ( (ntpp @ france @ '#sk13')),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl258])).
% 84.85/11.65 thf(ntpp, axiom, (ntpp @ X0 @ X1) =>
% 84.85/11.65 ((((((~) @ (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))))) &
% 84.85/11.65 (pp @ X0 @ X1)))
% 84.85/11.65 = ($true))).
% 84.85/11.65 thf('5', plain,
% 84.85/11.65 (![X0:reg,X1:reg]:
% 84.85/11.65 ( ( ntpp @ X0 @ X1 ) <=>
% 84.85/11.65 ( ( pp @ X0 @ X1 ) &
% 84.85/11.65 ( ~( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) ) )),
% 84.85/11.65 inference('rw.lit', [status(esa)], [ntpp])).
% 84.85/11.65 thf(zip_derived_cl264, plain,
% 84.85/11.65 ( (((((~) @ (((??) @ (^[Y0 : reg]:
% 84.85/11.65 (((ec @ Y0 @ france) & (ec @ Y0 @ '#sk13')))))))) &
% 84.85/11.65 (pp @ france @ '#sk13')))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl261, '5'])).
% 84.85/11.65 thf(zip_derived_cl269, plain,
% 84.85/11.65 ( (((((~) @ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ ec @ france)))) @
% 84.85/11.65 ((('#C') @ ec @ '#sk13')))))))) &
% 84.85/11.65 (pp @ france @ '#sk13')))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl264])).
% 84.85/11.65 thf(zip_derived_cl271, plain, ( (pp @ france @ '#sk13')),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl269])).
% 84.85/11.65 thf(pp, axiom, (pp @ X0 @ X1) =>
% 84.85/11.65 ((((((~) @ (p @ X1 @ X0))) & (p @ X0 @ X1))) = ($true))).
% 84.85/11.65 thf('6', plain,
% 84.85/11.65 (![X0:reg,X1:reg]:
% 84.85/11.65 ( ( pp @ X0 @ X1 ) <=> ( ( p @ X0 @ X1 ) & ( ~( p @ X1 @ X0 ) ) ) )),
% 84.85/11.65 inference('rw.lit', [status(esa)], [pp])).
% 84.85/11.65 thf(zip_derived_cl276, plain,
% 84.85/11.65 ( (((((~) @ (p @ '#sk13' @ france))) & (p @ france @ '#sk13')))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl271, '6'])).
% 84.85/11.65 thf(zip_derived_cl282, plain, (~ (p @ '#sk13' @ france)),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl276])).
% 84.85/11.65 thf(zip_derived_cl289, plain,
% 84.85/11.65 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ '#sk13') => (c @ Y0 @ france))))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl282, '3'])).
% 84.85/11.65 thf(zip_derived_cl299, plain,
% 84.85/11.65 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ '#sk13')))) @
% 84.85/11.65 ((('#C') @ c @ france))))))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl289])).
% 84.85/11.65 thf(zip_derived_cl300, plain,
% 84.85/11.65 (~ (((c @ ('#sk6' @ '#sk13') @ '#sk13') => (c @ ('#sk6' @ '#sk13') @
% 84.85/11.65 france)))),
% 84.85/11.65 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl299])).
% 84.85/11.65 thf(zip_derived_cl311, plain, (~ (c @ ('#sk6' @ '#sk13') @ france)),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl300])).
% 84.85/11.65 thf(zip_derived_cl310, plain, ( (c @ ('#sk6' @ '#sk13') @ '#sk13')),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl300])).
% 84.85/11.65 thf(zip_derived_cl370, plain,
% 84.85/11.65 (![X0 : reg, X2 : reg]:
% 84.85/11.65 ( (c @ '#sk16' @ catalunya)
% 84.85/11.65 | ~ (c @ '#sk15' @ '#sk13')
% 84.85/11.65 | ~ (c @ X2 @ '#sk13')
% 84.85/11.65 | (c @ X2 @ catalunya)
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (c @ X0 @ '#sk13'))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl359])).
% 84.85/11.65 thf(ax3, axiom,
% 84.85/11.65 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( ntpp @ paris @ france ) ) ))).
% 84.85/11.65 thf(zip_derived_cl14, plain,
% 84.85/11.65 ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france))))),
% 84.85/11.65 inference('cnf', [status(esa)], [ax3])).
% 84.85/11.65 thf(zip_derived_cl15, plain,
% 84.85/11.65 ( (mvalid @ (mbox @ a @ ((('#K') @ (ntpp @ paris @ france)))))),
% 84.85/11.65 inference('lams2combs', [status(thm)], [zip_derived_cl14])).
% 84.85/11.65 thf(mvalid, axiom, (mvalid @ X0) =>
% 84.85/11.65 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
% 84.85/11.65 thf('7', plain,
% 84.85/11.65 (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
% 84.85/11.65 inference('rw.lit', [status(esa)], [mvalid])).
% 84.85/11.65 thf(zip_derived_cl112, plain,
% 84.85/11.65 ( (((!!) @ (^[Y0 : $i]:
% 84.85/11.65 (mbox @ a @ ((('#K') @ (ntpp @ paris @ france))) @ Y0))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl15, '7'])).
% 84.85/11.65 thf(zip_derived_cl113, plain,
% 84.85/11.65 ( (((!!) @ (mbox @ a @ ((('#K') @ (ntpp @ paris @ france))))))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl112])).
% 84.85/11.65 thf(zip_derived_cl114, plain,
% 84.85/11.65 (![X2 : $i]: (mbox @ a @ ((('#K') @ (ntpp @ paris @ france))) @ X2)),
% 84.85/11.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl113])).
% 84.85/11.65 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
% 84.85/11.65 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) =
% 84.85/11.65 ($true))).
% 84.85/11.65 thf('8', plain,
% 84.85/11.65 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 84.85/11.65 ( ( mbox @ X0 @ X1 @ X2 ) <=>
% 84.85/11.65 ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )),
% 84.85/11.65 inference('rw.lit', [status(esa)], [mbox])).
% 84.85/11.65 thf(zip_derived_cl115, plain,
% 84.85/11.65 (![X0 : $i]:
% 84.85/11.65 (((!!) @ (^[Y0 : $i]:
% 84.85/11.65 (((((~) @ (a @ X0 @ Y0))) |
% 84.85/11.65 ((('#K') @ (ntpp @ paris @ france) @ Y0)))))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl114, '8'])).
% 84.85/11.65 thf(zip_derived_cl116, plain,
% 84.85/11.65 (![X0 : $i]:
% 84.85/11.65 (((!!) @ ((('#C') @ ((('#B') @ (|) @ ((('#B') @ (~) @ (a @ X0))))) @
% 84.85/11.65 (ntpp @ paris @ france)))))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl115])).
% 84.85/11.65 thf(zip_derived_cl117, plain,
% 84.85/11.65 (![X0 : $i, X2 : $i]:
% 84.85/11.65 (((((~) @ (a @ X0 @ X2))) | (ntpp @ paris @ france)))),
% 84.85/11.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl116])).
% 84.85/11.65 thf(zip_derived_cl118, plain,
% 84.85/11.65 (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) | (ntpp @ paris @ france))),
% 84.85/11.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl117])).
% 84.85/11.65 thf(zip_derived_cl119, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 ( (((((~) @ (((??) @ (^[Y0 : reg]:
% 84.85/11.65 (((ec @ Y0 @ paris) & (ec @ Y0 @ france)))))))) &
% 84.85/11.65 (pp @ paris @ france)))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl118, '5'])).
% 84.85/11.65 thf(zip_derived_cl120, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 ( (((((~) @ (((??) @ ((('#S') @ ((('#B') @ (&) @
% 84.85/11.65 ((('#C') @ ec @ paris)))) @
% 84.85/11.65 ((('#C') @ ec @ france)))))))) &
% 84.85/11.65 (pp @ paris @ france)))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl119])).
% 84.85/11.65 thf(zip_derived_cl122, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]: ( (pp @ paris @ france) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl120])).
% 84.85/11.65 thf(zip_derived_cl124, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 ( (((((~) @ (p @ france @ paris))) & (p @ paris @ france)))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl122, '6'])).
% 84.85/11.65 thf(zip_derived_cl127, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]: ( (p @ paris @ france) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl124])).
% 84.85/11.65 thf(zip_derived_cl130, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ france))))))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl127, '4'])).
% 84.85/11.65 thf(zip_derived_cl134, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 84.85/11.65 ((('#C') @ c @ france))))))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl130])).
% 84.85/11.65 thf(zip_derived_cl135, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i, X3 : reg]:
% 84.85/11.65 ( (((c @ X3 @ paris) => (c @ X3 @ france))) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl134])).
% 84.85/11.65 thf(zip_derived_cl139, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i, X3 : reg]:
% 84.85/11.65 (~ (c @ X3 @ paris) | (c @ X3 @ france) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl135])).
% 84.85/11.65 thf(zip_derived_cl255, plain, ( (a @ '#sk11' @ '#sk12')),
% 84.85/11.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl254])).
% 84.85/11.65 thf(zip_derived_cl959, plain,
% 84.85/11.65 (![X0 : reg]: ( (c @ X0 @ france) | ~ (c @ X0 @ paris))),
% 84.85/11.65 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl255])).
% 84.85/11.65 thf(zip_derived_cl352, plain,
% 84.85/11.65 (![X0 : reg, X2 : reg]:
% 84.85/11.65 ( (c @ '#sk15' @ paris)
% 84.85/11.65 | ~ (c @ X2 @ '#sk13')
% 84.85/11.65 | (c @ X2 @ catalunya)
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (c @ X0 @ '#sk13')
% 84.85/11.65 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ catalunya)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13')))))))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl347])).
% 84.85/11.65 thf(zip_derived_cl358, plain,
% 84.85/11.65 (![X0 : reg, X2 : reg]:
% 84.85/11.65 (~ (((c @ '#sk16' @ catalunya) => (c @ '#sk16' @ '#sk13')))
% 84.85/11.65 | ~ (c @ X0 @ '#sk13')
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | (c @ X2 @ catalunya)
% 84.85/11.65 | ~ (c @ X2 @ '#sk13')
% 84.85/11.65 | (c @ '#sk15' @ paris))),
% 84.85/11.65 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl352])).
% 84.85/11.65 thf(zip_derived_cl369, plain,
% 84.85/11.65 (![X0 : reg, X2 : reg]:
% 84.85/11.65 (~ (c @ '#sk16' @ '#sk13')
% 84.85/11.65 | (c @ '#sk15' @ paris)
% 84.85/11.65 | ~ (c @ X2 @ '#sk13')
% 84.85/11.65 | (c @ X2 @ catalunya)
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (c @ X0 @ '#sk13'))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl358])).
% 84.85/11.65 thf(zip_derived_cl255, plain, ( (a @ '#sk11' @ '#sk12')),
% 84.85/11.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl254])).
% 84.85/11.65 thf(ax1, axiom,
% 84.85/11.65 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( tpp @ catalunya @ spain ) ) ))).
% 84.85/11.65 thf(zip_derived_cl10, plain,
% 84.85/11.65 ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain))))),
% 84.85/11.65 inference('cnf', [status(esa)], [ax1])).
% 84.85/11.65 thf(zip_derived_cl11, plain,
% 84.85/11.65 ( (mvalid @ (mbox @ a @ ((('#K') @ (tpp @ catalunya @ spain)))))),
% 84.85/11.65 inference('lams2combs', [status(thm)], [zip_derived_cl10])).
% 84.85/11.65 thf(zip_derived_cl19, plain,
% 84.85/11.65 ( (((!!) @ (^[Y0 : $i]:
% 84.85/11.65 (mbox @ a @ ((('#K') @ (tpp @ catalunya @ spain))) @ Y0))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl11, '7'])).
% 84.85/11.65 thf(zip_derived_cl20, plain,
% 84.85/11.65 ( (((!!) @ (mbox @ a @ ((('#K') @ (tpp @ catalunya @ spain))))))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl19])).
% 84.85/11.65 thf(zip_derived_cl21, plain,
% 84.85/11.65 (![X2 : $i]: (mbox @ a @ ((('#K') @ (tpp @ catalunya @ spain))) @ X2)),
% 84.85/11.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])).
% 84.85/11.65 thf(zip_derived_cl22, plain,
% 84.85/11.65 (![X0 : $i]:
% 84.85/11.65 (((!!) @ (^[Y0 : $i]:
% 84.85/11.65 (((((~) @ (a @ X0 @ Y0))) |
% 84.85/11.65 ((('#K') @ (tpp @ catalunya @ spain) @ Y0)))))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl21, '8'])).
% 84.85/11.65 thf(zip_derived_cl23, plain,
% 84.85/11.65 (![X0 : $i]:
% 84.85/11.65 (((!!) @ ((('#C') @ ((('#B') @ (|) @ ((('#B') @ (~) @ (a @ X0))))) @
% 84.85/11.65 (tpp @ catalunya @ spain)))))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl22])).
% 84.85/11.65 thf(zip_derived_cl24, plain,
% 84.85/11.65 (![X0 : $i, X2 : $i]:
% 84.85/11.65 (((((~) @ (a @ X0 @ X2))) | (tpp @ catalunya @ spain)))),
% 84.85/11.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])).
% 84.85/11.65 thf(zip_derived_cl25, plain,
% 84.85/11.65 (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) | (tpp @ catalunya @ spain))),
% 84.85/11.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])).
% 84.85/11.65 thf(tpp, axiom, (tpp @ X0 @ X1) =>
% 84.85/11.65 ((((((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))) & (pp @
% 84.85/11.65 X0 @ X1)))
% 84.85/11.65 = ($true))).
% 84.85/11.65 thf('9', plain,
% 84.85/11.65 (![X0:reg,X1:reg]:
% 84.85/11.65 ( ( tpp @ X0 @ X1 ) <=>
% 84.85/11.65 ( ( pp @ X0 @ X1 ) &
% 84.85/11.65 ( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) )),
% 84.85/11.65 inference('rw.lit', [status(esa)], [tpp])).
% 84.85/11.65 thf(zip_derived_cl26, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 ( (((((??) @ (^[Y0 : reg]:
% 84.85/11.65 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ spain)))))) &
% 84.85/11.65 (pp @ catalunya @ spain)))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl25, '9'])).
% 84.85/11.65 thf(zip_derived_cl27, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 ( (((((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ ec @ catalunya)))) @
% 84.85/11.65 ((('#C') @ ec @ spain)))))) &
% 84.85/11.65 (pp @ catalunya @ spain)))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl26])).
% 84.85/11.65 thf(zip_derived_cl29, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]: ( (pp @ catalunya @ spain) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])).
% 84.85/11.65 thf(zip_derived_cl31, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 ( (((((~) @ (p @ spain @ catalunya))) & (p @ catalunya @ spain)))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl29, '6'])).
% 84.85/11.65 thf(zip_derived_cl34, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]: (~ (p @ spain @ catalunya) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl31])).
% 84.85/11.65 thf(zip_derived_cl38, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ spain) => (c @ Y0 @ catalunya))))))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl34, '3'])).
% 84.85/11.65 thf(zip_derived_cl44, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ spain)))) @
% 84.85/11.65 ((('#C') @ c @ catalunya))))))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl38])).
% 84.85/11.65 thf(zip_derived_cl45, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 (~ (((c @ '#sk2' @ spain) => (c @ '#sk2' @ catalunya)))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl44])).
% 84.85/11.65 thf(zip_derived_cl51, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]: (~ (c @ '#sk2' @ catalunya) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])).
% 84.85/11.65 thf(zip_derived_cl424, plain, (~ (c @ '#sk2' @ catalunya)),
% 84.85/11.65 inference('sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl51])).
% 84.85/11.65 thf(zip_derived_cl50, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]: ( (c @ '#sk2' @ spain) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl45])).
% 84.85/11.65 thf(zip_derived_cl255, plain, ( (a @ '#sk11' @ '#sk12')),
% 84.85/11.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl254])).
% 84.85/11.65 thf(zip_derived_cl432, plain, ( (c @ '#sk2' @ spain)),
% 84.85/11.65 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl255])).
% 84.85/11.65 thf(zip_derived_cl35, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]: ( (p @ catalunya @ spain) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl31])).
% 84.85/11.65 thf(zip_derived_cl39, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl35, '4'])).
% 84.85/11.65 thf(zip_derived_cl46, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ catalunya)))) @
% 84.85/11.65 ((('#C') @ c @ spain))))))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl39])).
% 84.85/11.65 thf(zip_derived_cl47, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i, X3 : reg]:
% 84.85/11.65 ( (((c @ X3 @ catalunya) => (c @ X3 @ spain))) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl46])).
% 84.85/11.65 thf(zip_derived_cl52, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i, X3 : reg]:
% 84.85/11.65 (~ (c @ X3 @ catalunya) | (c @ X3 @ spain) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])).
% 84.85/11.65 thf(zip_derived_cl255, plain, ( (a @ '#sk11' @ '#sk12')),
% 84.85/11.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl254])).
% 84.85/11.65 thf(zip_derived_cl437, plain,
% 84.85/11.65 (![X0 : reg]: ( (c @ X0 @ spain) | ~ (c @ X0 @ catalunya))),
% 84.85/11.65 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl255])).
% 84.85/11.65 thf(zip_derived_cl255, plain, ( (a @ '#sk11' @ '#sk12')),
% 84.85/11.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl254])).
% 84.85/11.65 thf(zip_derived_cl126, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]: (~ (p @ france @ paris) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl124])).
% 84.85/11.65 thf(zip_derived_cl129, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ france) => (c @ Y0 @ paris))))))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl126, '3'])).
% 84.85/11.65 thf(zip_derived_cl132, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ france)))) @
% 84.85/11.65 ((('#C') @ c @ paris))))))
% 84.85/11.65 | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl129])).
% 84.85/11.65 thf(zip_derived_cl133, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]:
% 84.85/11.65 (~ (((c @ '#sk7' @ france) => (c @ '#sk7' @ paris))) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl132])).
% 84.85/11.65 thf(zip_derived_cl138, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]: (~ (c @ '#sk7' @ paris) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl133])).
% 84.85/11.65 thf(zip_derived_cl425, plain, (~ (c @ '#sk7' @ paris)),
% 84.85/11.65 inference('sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl138])).
% 84.85/11.65 thf(zip_derived_cl137, plain,
% 84.85/11.65 (![X0 : $i, X1 : $i]: ( (c @ '#sk7' @ france) | ~ (a @ X1 @ X0))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl133])).
% 84.85/11.65 thf(zip_derived_cl255, plain, ( (a @ '#sk11' @ '#sk12')),
% 84.85/11.65 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl254])).
% 84.85/11.65 thf(zip_derived_cl434, plain, ( (c @ '#sk7' @ france)),
% 84.85/11.65 inference('sup+', [status(thm)], [zip_derived_cl137, zip_derived_cl255])).
% 84.85/11.65 thf(zip_derived_cl260, plain, ( (ntpp @ spain @ '#sk13')),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl258])).
% 84.85/11.65 thf(zip_derived_cl263, plain,
% 84.85/11.65 ( (((((~) @ (((??) @ (^[Y0 : reg]:
% 84.85/11.65 (((ec @ Y0 @ spain) & (ec @ Y0 @ '#sk13')))))))) &
% 84.85/11.65 (pp @ spain @ '#sk13')))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl260, '5'])).
% 84.85/11.65 thf(zip_derived_cl266, plain,
% 84.85/11.65 ( (((((~) @ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ ec @ spain)))) @
% 84.85/11.65 ((('#C') @ ec @ '#sk13')))))))) &
% 84.85/11.65 (pp @ spain @ '#sk13')))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl263])).
% 84.85/11.65 thf(zip_derived_cl268, plain, ( (pp @ spain @ '#sk13')),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl266])).
% 84.85/11.65 thf(zip_derived_cl274, plain,
% 84.85/11.65 ( (((((~) @ (p @ '#sk13' @ spain))) & (p @ spain @ '#sk13')))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl268, '6'])).
% 84.85/11.65 thf(zip_derived_cl280, plain, ( (p @ spain @ '#sk13')),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl274])).
% 84.85/11.65 thf(zip_derived_cl287, plain,
% 84.85/11.65 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ spain) => (c @ Y0 @ '#sk13'))))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl280, '4'])).
% 84.85/11.65 thf(zip_derived_cl296, plain,
% 84.85/11.65 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ spain)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl287])).
% 84.85/11.65 thf(zip_derived_cl297, plain,
% 84.85/11.65 (![X2 : reg]: (((c @ X2 @ spain) => (c @ X2 @ '#sk13')))),
% 84.85/11.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl296])).
% 84.85/11.65 thf(zip_derived_cl308, plain,
% 84.85/11.65 (![X2 : reg]: (~ (c @ X2 @ spain) | (c @ X2 @ '#sk13'))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl297])).
% 84.85/11.65 thf(zip_derived_cl368, plain,
% 84.85/11.65 (![X0 : reg, X2 : reg]:
% 84.85/11.65 ( (c @ '#sk16' @ catalunya)
% 84.85/11.65 | (c @ '#sk15' @ paris)
% 84.85/11.65 | ~ (c @ X2 @ '#sk13')
% 84.85/11.65 | (c @ X2 @ catalunya)
% 84.85/11.65 | (c @ X0 @ paris)
% 84.85/11.65 | ~ (c @ X0 @ '#sk13'))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl358])).
% 84.85/11.65 thf(zip_derived_cl283, plain, ( (p @ france @ '#sk13')),
% 84.85/11.65 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl276])).
% 84.85/11.65 thf(zip_derived_cl290, plain,
% 84.85/11.65 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ france) => (c @ Y0 @ '#sk13'))))))),
% 84.85/11.65 inference('rw_clause', [status(thm)], [zip_derived_cl283, '4'])).
% 84.85/11.65 thf(zip_derived_cl301, plain,
% 84.85/11.65 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ france)))) @
% 84.85/11.65 ((('#C') @ c @ '#sk13'))))))),
% 84.85/11.65 inference('comb-normalize', [status(thm)], [zip_derived_cl290])).
% 84.85/11.65 thf(zip_derived_cl302, plain,
% 84.85/11.65 (![X2 : reg]: (((c @ X2 @ france) => (c @ X2 @ '#sk13')))),
% 84.85/11.65 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl301])).
% 84.85/11.65 thf(zip_derived_cl312, plain,
% 84.85/11.65 (![X2 : reg]: (~ (c @ X2 @ france) | (c @ X2 @ '#sk13'))),
% 84.85/11.65 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl302])).
% 84.85/11.65 thf(zip_derived_cl23316, plain, ($false),
% 84.85/11.65 inference('eprover', [status(thm)],
% 84.85/11.65 [zip_derived_cl371, zip_derived_cl311, zip_derived_cl310,
% 84.85/11.65 zip_derived_cl370, zip_derived_cl959, zip_derived_cl369,
% 84.85/11.65 zip_derived_cl424, zip_derived_cl432, zip_derived_cl437,
% 84.85/11.65 zip_derived_cl425, zip_derived_cl434, zip_derived_cl308,
% 84.85/11.65 zip_derived_cl368, zip_derived_cl312])).
% 84.85/11.65
% 84.85/11.65 % SZS output end Refutation
% 84.85/11.65
% 84.85/11.65
% 84.85/11.65 % Terminating...
% 85.53/11.71 % Runner terminated.
% 85.56/11.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------