TSTP Solution File: GEG019^1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEG019^1 : 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.MbNCog2Pcf true
% Computer : n023.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 22:42:16 EDT 2023
% Result : Theorem 100.81s 13.39s
% Output : Refutation 100.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEG019^1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.MbNCog2Pcf true
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 01:17:11 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in HO mode
% 0.50/0.62 % Total configuration time : 828
% 0.50/0.62 % Estimated wc time : 1656
% 0.50/0.62 % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.72 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.75 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.55/0.83 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 100.81/13.39 % Solved by lams/40_b.comb.sh.
% 100.81/13.39 % done 1100 iterations in 12.588s
% 100.81/13.39 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 100.81/13.39 % SZS output start Refutation
% 100.81/13.39 thf(reg_type, type, reg: $tType).
% 100.81/13.39 thf('#sk13_type', type, '#sk13': reg).
% 100.81/13.39 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 100.81/13.39 thf(paris_type, type, paris: reg).
% 100.81/13.39 thf(ntpp_type, type, ntpp: reg > reg > $o).
% 100.81/13.39 thf(a_type, type, a: $i > $i > $o).
% 100.81/13.39 thf('#sk11_type', type, '#sk11': $i).
% 100.81/13.39 thf(pp_type, type, pp: reg > reg > $o).
% 100.81/13.39 thf('#sk15_type', type, '#sk15': reg > reg).
% 100.81/13.39 thf('#sk4_type', type, '#sk4': reg > reg).
% 100.81/13.39 thf(france_type, type, france: reg).
% 100.81/13.39 thf('#form16_type', type, '#form16': reg > $o).
% 100.81/13.39 thf('#sk6_type', type, '#sk6': reg > reg).
% 100.81/13.39 thf(ec_type, type, ec: reg > reg > $o).
% 100.81/13.39 thf('#sk9_type', type, '#sk9': reg > reg).
% 100.81/13.39 thf(o_type, type, o: reg > reg > $o).
% 100.81/13.39 thf(c_type, type, c: reg > reg > $o).
% 100.81/13.39 thf('#sk12_type', type, '#sk12': $i).
% 100.81/13.39 thf(p_type, type, p: reg > reg > $o).
% 100.81/13.39 thf(catalunya_type, type, catalunya: reg).
% 100.81/13.39 thf(spain_type, type, spain: reg).
% 100.81/13.39 thf('#sk14_type', type, '#sk14': reg).
% 100.81/13.39 thf(tpp_type, type, tpp: reg > reg > $o).
% 100.81/13.39 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 100.81/13.39 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 100.81/13.39 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 100.81/13.39 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 100.81/13.39 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 100.81/13.39 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 100.81/13.39 thf(con, conjecture,
% 100.81/13.39 (mvalid @
% 100.81/13.39 ( mbox @
% 100.81/13.39 a @
% 100.81/13.39 ( ^[X:$i]:
% 100.81/13.39 ( ![Z:reg]:
% 100.81/13.39 ( ( ( o @ Z @ catalunya ) & ( o @ Z @ paris ) ) =>
% 100.81/13.39 ( ( o @ Z @ france ) & ( o @ Z @ spain ) ) ) ) ) ))).
% 100.81/13.39 thf(zf_stmt_0, negated_conjecture,
% 100.81/13.39 (~( mvalid @
% 100.81/13.39 ( mbox @
% 100.81/13.39 a @
% 100.81/13.39 ( ^[X:$i]:
% 100.81/13.39 ( ![Z:reg]:
% 100.81/13.39 ( ( ( o @ Z @ catalunya ) & ( o @ Z @ paris ) ) =>
% 100.81/13.39 ( ( o @ Z @ france ) & ( o @ Z @ spain ) ) ) ) ) ) )),
% 100.81/13.39 inference('cnf.neg', [status(esa)], [con])).
% 100.81/13.39 thf(zip_derived_cl16, plain,
% 100.81/13.39 (~ (mvalid @
% 100.81/13.39 (mbox @ a @
% 100.81/13.39 (^[Y0 : $i]:
% 100.81/13.39 (((!!) @ (^[Y1 : reg]:
% 100.81/13.39 (((((o @ Y1 @ catalunya) & (o @ Y1 @ paris))) =>
% 100.81/13.39 (((o @ Y1 @ france) & (o @ Y1 @ spain)))))))))))),
% 100.81/13.39 inference('cnf', [status(esa)], [zf_stmt_0])).
% 100.81/13.39 thf(zip_derived_cl17, plain,
% 100.81/13.39 (~ (mvalid @
% 100.81/13.39 (mbox @ a @
% 100.81/13.39 ((('#K') @ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @
% 100.81/13.39 ((('#C') @ o @
% 100.81/13.39 catalunya)))) @
% 100.81/13.39 ((('#C') @ o @ paris)))))) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @
% 100.81/13.39 ((('#C') @ o @ france)))) @
% 100.81/13.39 ((('#C') @ o @ spain))))))))))))),
% 100.81/13.39 inference('lams2combs', [status(thm)], [zip_derived_cl16])).
% 100.81/13.39 thf(mvalid, axiom, ~ (mvalid @ X0) =>
% 100.81/13.39 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))).
% 100.81/13.39 thf('0', plain,
% 100.81/13.39 (![X0:( $i > $o )]:
% 100.81/13.39 ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )),
% 100.81/13.39 inference('rw.lit', [status(esa)], [mvalid])).
% 100.81/13.39 thf(zip_derived_cl249, plain,
% 100.81/13.39 (~ (((!!) @ (^[Y0 : $i]:
% 100.81/13.39 (mbox @ a @
% 100.81/13.39 ((('#K') @ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (
% 100.81/13.39 &) @
% 100.81/13.39 ((('#C') @ o @
% 100.81/13.39 catalunya)))) @
% 100.81/13.39 ((('#C') @ o @ paris)))))) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @
% 100.81/13.39 ((('#C') @ o @ france)))) @
% 100.81/13.39 ((('#C') @ o @ spain)))))))))) @
% 100.81/13.39 Y0))))),
% 100.81/13.39 inference('rw_clause', [status(thm)], [zip_derived_cl17, '0'])).
% 100.81/13.39 thf(zip_derived_cl250, plain,
% 100.81/13.39 (~ (((!!) @ (mbox @ a @
% 100.81/13.39 ((('#K') @ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (
% 100.81/13.39 &) @
% 100.81/13.39 ((('#C') @ o @
% 100.81/13.39 catalunya)))) @
% 100.81/13.39 ((('#C') @ o @ paris)))))) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @
% 100.81/13.39 ((('#C') @ o @ france)))) @
% 100.81/13.39 ((('#C') @ o @ spain)))))))))))))),
% 100.81/13.39 inference('comb-normalize', [status(thm)], [zip_derived_cl249])).
% 100.81/13.39 thf(zip_derived_cl251, plain,
% 100.81/13.39 (~ (mbox @ a @
% 100.81/13.39 ((('#K') @ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @
% 100.81/13.39 ((('#C') @ o @
% 100.81/13.39 catalunya)))) @
% 100.81/13.39 ((('#C') @ o @ paris)))))) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @
% 100.81/13.39 ((('#C') @ o @ france)))) @
% 100.81/13.39 ((('#C') @ o @ spain)))))))))) @
% 100.81/13.39 '#sk11')),
% 100.81/13.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl250])).
% 100.81/13.39 thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
% 100.81/13.39 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) !=
% 100.81/13.39 ($true))).
% 100.81/13.39 thf('1', plain,
% 100.81/13.39 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 100.81/13.39 ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
% 100.81/13.39 ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )),
% 100.81/13.39 inference('rw.lit', [status(esa)], [mbox])).
% 100.81/13.39 thf(zip_derived_cl252, plain,
% 100.81/13.39 (~ (((!!) @ (^[Y0 : $i]:
% 100.81/13.39 (((((~) @ (a @ '#sk11' @ Y0))) |
% 100.81/13.39 ((('#K') @ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (
% 100.81/13.39 &) @
% 100.81/13.39 ((
% 100.81/13.39 ('#C') @ o @
% 100.81/13.39 catalunya)))) @
% 100.81/13.39 ((('#C') @ o @ paris)))))) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @
% 100.81/13.39 ((('#C') @ o @ france)))) @
% 100.81/13.39 ((('#C') @ o @ spain)))))))) @
% 100.81/13.39 Y0)))))))),
% 100.81/13.39 inference('rw_clause', [status(thm)], [zip_derived_cl251, '1'])).
% 100.81/13.39 thf(zip_derived_cl253, plain,
% 100.81/13.39 (~ (((!!) @ ((('#C') @ ((('#B') @ (|) @ ((('#B') @ (~) @ (a @ '#sk11'))))) @
% 100.81/13.39 (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @
% 100.81/13.39 ((('#C') @ o @ catalunya)))) @
% 100.81/13.39 ((('#C') @ o @ paris)))))) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @
% 100.81/13.39 ((('#C') @ o @ france)))) @
% 100.81/13.39 ((('#C') @ o @ spain))))))))))))),
% 100.81/13.39 inference('comb-normalize', [status(thm)], [zip_derived_cl252])).
% 100.81/13.39 thf(zip_derived_cl254, plain,
% 100.81/13.39 (~ (((((~) @ (a @ '#sk11' @ '#sk12'))) |
% 100.81/13.39 (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @
% 100.81/13.39 ((('#C') @ o @ catalunya)))) @
% 100.81/13.39 ((('#C') @ o @ paris)))))) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @ ((('#C') @ o @ france)))) @
% 100.81/13.39 ((('#C') @ o @ spain))))))))))),
% 100.81/13.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl253])).
% 100.81/13.39 thf(zip_derived_cl256, plain,
% 100.81/13.39 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @
% 100.81/13.39 ((('#C') @ o @ catalunya)))) @
% 100.81/13.39 ((('#C') @ o @ paris)))))) @
% 100.81/13.39 ((('#S') @ ((('#B') @ (&) @ ((('#C') @ o @ france)))) @
% 100.81/13.39 ((('#C') @ o @ spain))))))))),
% 100.81/13.39 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl254])).
% 100.81/13.39 thf(zip_derived_cl257, plain,
% 100.81/13.39 (~ (((((o @ '#sk13' @ catalunya) & (o @ '#sk13' @ paris))) =>
% 100.81/13.39 (((o @ '#sk13' @ france) & (o @ '#sk13' @ spain)))))),
% 100.81/13.39 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl256])).
% 100.81/13.39 thf(zip_derived_cl259, plain,
% 100.81/13.39 (~ (((o @ '#sk13' @ france) & (o @ '#sk13' @ spain)))),
% 100.81/13.39 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl257])).
% 100.81/13.39 thf(zip_derived_cl262, plain,
% 100.81/13.39 ((~ (o @ '#sk13' @ france) | ~ (o @ '#sk13' @ spain))),
% 100.81/13.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl259])).
% 100.81/13.39 thf(o, axiom, ~ (o @ X0 @ X1) =>
% 100.81/13.39 ((((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ X1)))))) != ($true))).
% 100.81/13.39 thf('2', plain,
% 100.81/13.39 (![X0:reg,X1:reg]:
% 100.81/13.39 ( ( ~( o @ X0 @ X1 ) ) <=>
% 100.81/13.39 ( ~( ?[X6:reg]: ( ( p @ X6 @ X0 ) & ( p @ X6 @ X1 ) ) ) ) )),
% 100.81/13.39 inference('rw.lit', [status(esa)], [o])).
% 100.81/13.39 thf(zip_derived_cl265, plain,
% 100.81/13.39 ((~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk13') & (p @ Y0 @ france))))))
% 100.81/13.39 | ~ (o @ '#sk13' @ spain))),
% 100.81/13.39 inference('rw_clause', [status(thm)], [zip_derived_cl262, '2'])).
% 100.81/13.39 thf(zip_derived_cl270, plain,
% 100.81/13.39 ((~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.39 ((('#C') @ p @ france))))))
% 100.81/13.39 | ~ (o @ '#sk13' @ spain))),
% 100.81/13.39 inference('comb-normalize', [status(thm)], [zip_derived_cl265])).
% 100.81/13.39 thf(zip_derived_cl271, plain,
% 100.81/13.39 ((~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk13') & (p @ Y0 @ spain))))))
% 100.81/13.39 | ~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.39 ((('#C') @ p @ france)))))))),
% 100.81/13.39 inference('rw_clause', [status(thm)], [zip_derived_cl270, '2'])).
% 100.81/13.39 thf(zip_derived_cl276, plain,
% 100.81/13.39 ((~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.39 ((('#C') @ p @ spain))))))
% 100.81/13.39 | ~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.39 ((('#C') @ p @ france)))))))),
% 100.81/13.39 inference('comb-normalize', [status(thm)], [zip_derived_cl271])).
% 100.81/13.39 thf(zip_derived_cl277, plain,
% 100.81/13.39 (![X2 : reg]:
% 100.81/13.39 (~ (((p @ X2 @ '#sk13') & (p @ X2 @ spain)))
% 100.81/13.39 | ~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.39 ((('#C') @ p @ france)))))))),
% 100.81/13.39 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl276])).
% 100.81/13.39 thf(zip_derived_cl282, plain,
% 100.81/13.39 (![X2 : reg]:
% 100.81/13.39 (~ (p @ X2 @ '#sk13')
% 100.81/13.39 | ~ (p @ X2 @ spain)
% 100.81/13.39 | ~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.39 ((('#C') @ p @ france)))))))),
% 100.81/13.39 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl277])).
% 100.81/13.39 thf(p, axiom, ~ (p @ X0 @ X1) =>
% 100.81/13.39 ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) != ($true))).
% 100.81/13.39 thf('3', plain,
% 100.81/13.39 (![X0:reg,X1:reg]:
% 100.81/13.39 ( ( ~( p @ X0 @ X1 ) ) <=>
% 100.81/13.39 ( ~( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) ) )),
% 100.81/13.39 inference('rw.lit', [status(esa)], [p])).
% 100.81/13.39 thf(zip_derived_cl291, plain,
% 100.81/13.39 (![X0 : reg]:
% 100.81/13.39 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk13'))))))
% 100.81/13.39 | ~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.39 ((('#C') @ p @ france))))))
% 100.81/13.39 | ~ (p @ X0 @ spain))),
% 100.81/13.39 inference('rw_clause', [status(thm)], [zip_derived_cl282, '3'])).
% 100.81/13.39 thf(zip_derived_cl296, plain,
% 100.81/13.39 (![X0 : reg]:
% 100.81/13.39 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.39 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.39 | ~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.39 ((('#C') @ p @ france))))))
% 100.81/13.39 | ~ (p @ X0 @ spain))),
% 100.81/13.39 inference('comb-normalize', [status(thm)], [zip_derived_cl291])).
% 100.81/13.40 thf(zip_derived_cl297, plain,
% 100.81/13.40 (![X0 : reg]:
% 100.81/13.40 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ spain))))))
% 100.81/13.40 | ~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.40 ((('#C') @ p @ france))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl296, '3'])).
% 100.81/13.40 thf(zip_derived_cl298, plain,
% 100.81/13.40 (![X0 : reg]:
% 100.81/13.40 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ spain))))))
% 100.81/13.40 | ~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.40 ((('#C') @ p @ france))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl297])).
% 100.81/13.40 thf(zip_derived_cl299, plain,
% 100.81/13.40 (![X0 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk4' @ X0) @ X0) => (c @ ('#sk4' @ X0) @ spain)))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.40 ((('#C') @ p @ france)))))))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl298])).
% 100.81/13.40 thf(zip_derived_cl301, plain,
% 100.81/13.40 (![X0 : reg]:
% 100.81/13.40 (~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.40 ((('#C') @ p @ france))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl299])).
% 100.81/13.40 thf(zip_derived_cl303, plain,
% 100.81/13.40 (![X0 : reg, X2 : reg]:
% 100.81/13.40 (~ (((p @ X2 @ '#sk13') & (p @ X2 @ france)))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain))),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl301])).
% 100.81/13.40 thf(zip_derived_cl305, plain,
% 100.81/13.40 (![X0 : reg, X2 : reg]:
% 100.81/13.40 (~ (p @ X2 @ '#sk13')
% 100.81/13.40 | ~ (p @ X2 @ france)
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl303])).
% 100.81/13.40 thf(zip_derived_cl307, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (p @ X1 @ france))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl305, '3'])).
% 100.81/13.40 thf(zip_derived_cl310, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (p @ X1 @ france))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl307])).
% 100.81/13.40 thf(zip_derived_cl311, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl310, '3'])).
% 100.81/13.40 thf(zip_derived_cl314, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ france))))))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl311])).
% 100.81/13.40 thf(zip_derived_cl315, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ france)))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl314])).
% 100.81/13.40 thf(zip_derived_cl319, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl315])).
% 100.81/13.40 thf(zip_derived_cl323, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X0) @ X0) => (c @ ('#sk15' @ X0) @ '#sk13')))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl319])).
% 100.81/13.40 thf(zip_derived_cl331, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (c @ ('#sk15' @ X0) @ '#sk13')
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl323])).
% 100.81/13.40 thf(zip_derived_cl339, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13')))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | ~ (c @ ('#sk15' @ X0) @ '#sk13'))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl331])).
% 100.81/13.40 thf(zip_derived_cl300, plain,
% 100.81/13.40 (![X0 : reg]:
% 100.81/13.40 ( (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.40 ((('#C') @ p @ france))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl299])).
% 100.81/13.40 thf(zip_derived_cl302, plain,
% 100.81/13.40 (![X0 : reg, X2 : reg]:
% 100.81/13.40 (~ (((p @ X2 @ '#sk13') & (p @ X2 @ france)))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0))),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl300])).
% 100.81/13.40 thf(zip_derived_cl304, plain,
% 100.81/13.40 (![X0 : reg, X2 : reg]:
% 100.81/13.40 (~ (p @ X2 @ '#sk13')
% 100.81/13.40 | ~ (p @ X2 @ france)
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl302])).
% 100.81/13.40 thf(zip_derived_cl306, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (p @ X1 @ france))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl304, '3'])).
% 100.81/13.40 thf(zip_derived_cl308, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (p @ X1 @ france))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl306])).
% 100.81/13.40 thf(zip_derived_cl309, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl308, '3'])).
% 100.81/13.40 thf(zip_derived_cl312, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ france))))))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl309])).
% 100.81/13.40 thf(zip_derived_cl313, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ france)))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl312])).
% 100.81/13.40 thf(zip_derived_cl316, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 ( (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl313])).
% 100.81/13.40 thf(zip_derived_cl320, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X0) @ X0) => (c @ ('#sk15' @ X0) @ '#sk13')))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl316])).
% 100.81/13.40 thf(zip_derived_cl324, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 ( (c @ ('#sk15' @ X0) @ X0)
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl320])).
% 100.81/13.40 thf(zip_derived_cl332, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13')))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | (c @ ('#sk15' @ X0) @ X0))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl324])).
% 100.81/13.40 thf(zip_derived_cl340, plain,
% 100.81/13.40 (![X1 : reg]:
% 100.81/13.40 ( ('#form16' @ X1)
% 100.81/13.40 | ~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13'))))),
% 100.81/13.40 define([status(thm)])).
% 100.81/13.40 thf(zip_derived_cl350, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ ('#form16' @ X1)
% 100.81/13.40 | ~ (c @ ('#sk15' @ X0) @ '#sk13')
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain))),
% 100.81/13.40 inference('renaming', [status(thm)],
% 100.81/13.40 [zip_derived_cl339, zip_derived_cl340])).
% 100.81/13.40 thf(zip_derived_cl318, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 ( (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl315])).
% 100.81/13.40 thf(zip_derived_cl322, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X0) @ X0) => (c @ ('#sk15' @ X0) @ '#sk13')))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl318])).
% 100.81/13.40 thf(zip_derived_cl329, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (c @ ('#sk15' @ X0) @ '#sk13')
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl322])).
% 100.81/13.40 thf(zip_derived_cl337, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13')))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | ~ (c @ ('#sk15' @ X0) @ '#sk13'))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl329])).
% 100.81/13.40 thf(zip_derived_cl340, plain,
% 100.81/13.40 (![X1 : reg]:
% 100.81/13.40 ( ('#form16' @ X1)
% 100.81/13.40 | ~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13'))))),
% 100.81/13.40 define([status(thm)])).
% 100.81/13.40 thf(zip_derived_cl348, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ ('#form16' @ X1)
% 100.81/13.40 | ~ (c @ ('#sk15' @ X0) @ '#sk13')
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain))),
% 100.81/13.40 inference('renaming', [status(thm)],
% 100.81/13.40 [zip_derived_cl337, zip_derived_cl340])).
% 100.81/13.40 thf(zip_derived_cl330, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 ( (c @ ('#sk15' @ X0) @ X0)
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl323])).
% 100.81/13.40 thf(zip_derived_cl338, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13')))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | (c @ ('#sk15' @ X0) @ X0))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl330])).
% 100.81/13.40 thf(zip_derived_cl340, plain,
% 100.81/13.40 (![X1 : reg]:
% 100.81/13.40 ( ('#form16' @ X1)
% 100.81/13.40 | ~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13'))))),
% 100.81/13.40 define([status(thm)])).
% 100.81/13.40 thf(zip_derived_cl349, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ ('#form16' @ X1)
% 100.81/13.40 | (c @ ('#sk15' @ X0) @ X0)
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain))),
% 100.81/13.40 inference('renaming', [status(thm)],
% 100.81/13.40 [zip_derived_cl338, zip_derived_cl340])).
% 100.81/13.40 thf(zip_derived_cl328, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 ( (c @ ('#sk15' @ X0) @ X0)
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl322])).
% 100.81/13.40 thf(zip_derived_cl336, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13')))
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain)
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | (c @ ('#sk15' @ X0) @ X0))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl328])).
% 100.81/13.40 thf(zip_derived_cl340, plain,
% 100.81/13.40 (![X1 : reg]:
% 100.81/13.40 ( ('#form16' @ X1)
% 100.81/13.40 | ~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13'))))),
% 100.81/13.40 define([status(thm)])).
% 100.81/13.40 thf(zip_derived_cl347, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ ('#form16' @ X1)
% 100.81/13.40 | (c @ ('#sk15' @ X0) @ X0)
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | ~ (c @ ('#sk4' @ X0) @ spain))),
% 100.81/13.40 inference('renaming', [status(thm)],
% 100.81/13.40 [zip_derived_cl336, zip_derived_cl340])).
% 100.81/13.40 thf(ax1, axiom,
% 100.81/13.40 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( tpp @ catalunya @ spain ) ) ))).
% 100.81/13.40 thf(zip_derived_cl10, plain,
% 100.81/13.40 ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain))))),
% 100.81/13.40 inference('cnf', [status(esa)], [ax1])).
% 100.81/13.40 thf(zip_derived_cl11, plain,
% 100.81/13.40 ( (mvalid @ (mbox @ a @ ((('#K') @ (tpp @ catalunya @ spain)))))),
% 100.81/13.40 inference('lams2combs', [status(thm)], [zip_derived_cl10])).
% 100.81/13.40 thf(mvalid, axiom, (mvalid @ X0) =>
% 100.81/13.40 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
% 100.81/13.40 thf('4', plain,
% 100.81/13.40 (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
% 100.81/13.40 inference('rw.lit', [status(esa)], [mvalid])).
% 100.81/13.40 thf(zip_derived_cl19, plain,
% 100.81/13.40 ( (((!!) @ (^[Y0 : $i]:
% 100.81/13.40 (mbox @ a @ ((('#K') @ (tpp @ catalunya @ spain))) @ Y0))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl11, '4'])).
% 100.81/13.40 thf(zip_derived_cl20, plain,
% 100.81/13.40 ( (((!!) @ (mbox @ a @ ((('#K') @ (tpp @ catalunya @ spain))))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl19])).
% 100.81/13.40 thf(zip_derived_cl21, plain,
% 100.81/13.40 (![X2 : $i]: (mbox @ a @ ((('#K') @ (tpp @ catalunya @ spain))) @ X2)),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])).
% 100.81/13.40 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
% 100.81/13.40 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) =
% 100.81/13.40 ($true))).
% 100.81/13.40 thf('5', plain,
% 100.81/13.40 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 100.81/13.40 ( ( mbox @ X0 @ X1 @ X2 ) <=>
% 100.81/13.40 ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )),
% 100.81/13.40 inference('rw.lit', [status(esa)], [mbox])).
% 100.81/13.40 thf(zip_derived_cl22, plain,
% 100.81/13.40 (![X0 : $i]:
% 100.81/13.40 (((!!) @ (^[Y0 : $i]:
% 100.81/13.40 (((((~) @ (a @ X0 @ Y0))) |
% 100.81/13.40 ((('#K') @ (tpp @ catalunya @ spain) @ Y0)))))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl21, '5'])).
% 100.81/13.40 thf(zip_derived_cl23, plain,
% 100.81/13.40 (![X0 : $i]:
% 100.81/13.40 (((!!) @ ((('#C') @ ((('#B') @ (|) @ ((('#B') @ (~) @ (a @ X0))))) @
% 100.81/13.40 (tpp @ catalunya @ spain)))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl22])).
% 100.81/13.40 thf(zip_derived_cl24, plain,
% 100.81/13.40 (![X0 : $i, X2 : $i]:
% 100.81/13.40 (((((~) @ (a @ X0 @ X2))) | (tpp @ catalunya @ spain)))),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])).
% 100.81/13.40 thf(zip_derived_cl25, plain,
% 100.81/13.40 (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) | (tpp @ catalunya @ spain))),
% 100.81/13.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl24])).
% 100.81/13.40 thf(tpp, axiom, (tpp @ X0 @ X1) =>
% 100.81/13.40 ((((((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))) & (pp @
% 100.81/13.40 X0 @ X1)))
% 100.81/13.40 = ($true))).
% 100.81/13.40 thf('6', plain,
% 100.81/13.40 (![X0:reg,X1:reg]:
% 100.81/13.40 ( ( tpp @ X0 @ X1 ) <=>
% 100.81/13.40 ( ( pp @ X0 @ X1 ) &
% 100.81/13.40 ( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) )),
% 100.81/13.40 inference('rw.lit', [status(esa)], [tpp])).
% 100.81/13.40 thf(zip_derived_cl26, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]:
% 100.81/13.40 ( (((((??) @ (^[Y0 : reg]:
% 100.81/13.40 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ spain)))))) &
% 100.81/13.40 (pp @ catalunya @ spain)))
% 100.81/13.40 | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl25, '6'])).
% 100.81/13.40 thf(zip_derived_cl27, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]:
% 100.81/13.40 ( (((((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ ec @ catalunya)))) @
% 100.81/13.40 ((('#C') @ ec @ spain)))))) &
% 100.81/13.40 (pp @ catalunya @ spain)))
% 100.81/13.40 | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl26])).
% 100.81/13.40 thf(zip_derived_cl29, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]: ( (pp @ catalunya @ spain) | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])).
% 100.81/13.40 thf(pp, axiom, (pp @ X0 @ X1) =>
% 100.81/13.40 ((((((~) @ (p @ X1 @ X0))) & (p @ X0 @ X1))) = ($true))).
% 100.81/13.40 thf('7', plain,
% 100.81/13.40 (![X0:reg,X1:reg]:
% 100.81/13.40 ( ( pp @ X0 @ X1 ) <=> ( ( p @ X0 @ X1 ) & ( ~( p @ X1 @ X0 ) ) ) )),
% 100.81/13.40 inference('rw.lit', [status(esa)], [pp])).
% 100.81/13.40 thf(zip_derived_cl31, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]:
% 100.81/13.40 ( (((((~) @ (p @ spain @ catalunya))) & (p @ catalunya @ spain)))
% 100.81/13.40 | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl29, '7'])).
% 100.81/13.40 thf(zip_derived_cl35, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]: ( (p @ catalunya @ spain) | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl31])).
% 100.81/13.40 thf(p, axiom, (p @ X0 @ X1) =>
% 100.81/13.40 ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) = ($true))).
% 100.81/13.40 thf('8', plain,
% 100.81/13.40 (![X0:reg,X1:reg]:
% 100.81/13.40 ( ( p @ X0 @ X1 ) <=>
% 100.81/13.40 ( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) )),
% 100.81/13.40 inference('rw.lit', [status(esa)], [p])).
% 100.81/13.40 thf(zip_derived_cl39, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]:
% 100.81/13.40 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))
% 100.81/13.40 | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl35, '8'])).
% 100.81/13.40 thf(zip_derived_cl46, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]:
% 100.81/13.40 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ catalunya)))) @
% 100.81/13.40 ((('#C') @ c @ spain))))))
% 100.81/13.40 | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl39])).
% 100.81/13.40 thf(zip_derived_cl47, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i, X3 : reg]:
% 100.81/13.40 ( (((c @ X3 @ catalunya) => (c @ X3 @ spain))) | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl46])).
% 100.81/13.40 thf(zip_derived_cl52, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i, X3 : reg]:
% 100.81/13.40 (~ (c @ X3 @ catalunya) | (c @ X3 @ spain) | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl47])).
% 100.81/13.40 thf(zip_derived_cl255, plain, ( (a @ '#sk11' @ '#sk12')),
% 100.81/13.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl254])).
% 100.81/13.40 thf(zip_derived_cl429, plain,
% 100.81/13.40 (![X0 : reg]: ( (c @ X0 @ spain) | ~ (c @ X0 @ catalunya))),
% 100.81/13.40 inference('sup+', [status(thm)], [zip_derived_cl52, zip_derived_cl255])).
% 100.81/13.40 thf(zip_derived_cl258, plain,
% 100.81/13.40 ( (((o @ '#sk13' @ catalunya) & (o @ '#sk13' @ paris)))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl257])).
% 100.81/13.40 thf(zip_derived_cl260, plain, ( (o @ '#sk13' @ catalunya)),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl258])).
% 100.81/13.40 thf(o, axiom, (o @ X0 @ X1) =>
% 100.81/13.40 ((((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ X1)))))) = ($true))).
% 100.81/13.40 thf('9', plain,
% 100.81/13.40 (![X0:reg,X1:reg]:
% 100.81/13.40 ( ( o @ X0 @ X1 ) <=>
% 100.81/13.40 ( ?[X6:reg]: ( ( p @ X6 @ X0 ) & ( p @ X6 @ X1 ) ) ) )),
% 100.81/13.40 inference('rw.lit', [status(esa)], [o])).
% 100.81/13.40 thf(zip_derived_cl263, plain,
% 100.81/13.40 ( (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk13') & (p @ Y0 @ catalunya))))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl260, '9'])).
% 100.81/13.40 thf(zip_derived_cl266, plain,
% 100.81/13.40 ( (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.40 ((('#C') @ p @ catalunya))))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl263])).
% 100.81/13.40 thf(zip_derived_cl267, plain,
% 100.81/13.40 ( (((p @ '#sk14' @ '#sk13') & (p @ '#sk14' @ catalunya)))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl266])).
% 100.81/13.40 thf(zip_derived_cl273, plain, ( (p @ '#sk14' @ catalunya)),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl267])).
% 100.81/13.40 thf(zip_derived_cl279, plain,
% 100.81/13.40 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ '#sk14') => (c @ Y0 @ catalunya))))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl273, '8'])).
% 100.81/13.40 thf(zip_derived_cl285, plain,
% 100.81/13.40 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ '#sk14')))) @
% 100.81/13.40 ((('#C') @ c @ catalunya))))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl279])).
% 100.81/13.40 thf(zip_derived_cl286, plain,
% 100.81/13.40 (![X2 : reg]: (((c @ X2 @ '#sk14') => (c @ X2 @ catalunya)))),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl285])).
% 100.81/13.40 thf(zip_derived_cl293, plain,
% 100.81/13.40 (![X2 : reg]: (~ (c @ X2 @ '#sk14') | (c @ X2 @ catalunya))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl286])).
% 100.81/13.40 thf(zip_derived_cl317, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X0)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl313])).
% 100.81/13.40 thf(zip_derived_cl321, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X0) @ X0) => (c @ ('#sk15' @ X0) @ '#sk13')))
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl317])).
% 100.81/13.40 thf(zip_derived_cl327, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (c @ ('#sk15' @ X0) @ '#sk13')
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl321])).
% 100.81/13.40 thf(zip_derived_cl335, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13')))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | ~ (c @ ('#sk15' @ X0) @ '#sk13'))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl327])).
% 100.81/13.40 thf(zip_derived_cl340, plain,
% 100.81/13.40 (![X1 : reg]:
% 100.81/13.40 ( ('#form16' @ X1)
% 100.81/13.40 | ~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13'))))),
% 100.81/13.40 define([status(thm)])).
% 100.81/13.40 thf(zip_derived_cl346, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ ('#form16' @ X1)
% 100.81/13.40 | ~ (c @ ('#sk15' @ X0) @ '#sk13')
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0))),
% 100.81/13.40 inference('renaming', [status(thm)],
% 100.81/13.40 [zip_derived_cl335, zip_derived_cl340])).
% 100.81/13.40 thf(zip_derived_cl325, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (c @ ('#sk15' @ X0) @ '#sk13')
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl320])).
% 100.81/13.40 thf(zip_derived_cl333, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13')))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | ~ (c @ ('#sk15' @ X0) @ '#sk13'))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl325])).
% 100.81/13.40 thf(zip_derived_cl340, plain,
% 100.81/13.40 (![X1 : reg]:
% 100.81/13.40 ( ('#form16' @ X1)
% 100.81/13.40 | ~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13'))))),
% 100.81/13.40 define([status(thm)])).
% 100.81/13.40 thf(zip_derived_cl344, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ ('#form16' @ X1)
% 100.81/13.40 | ~ (c @ ('#sk15' @ X0) @ '#sk13')
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0))),
% 100.81/13.40 inference('renaming', [status(thm)],
% 100.81/13.40 [zip_derived_cl333, zip_derived_cl340])).
% 100.81/13.40 thf(zip_derived_cl272, plain, ( (p @ '#sk14' @ '#sk13')),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl267])).
% 100.81/13.40 thf(zip_derived_cl278, plain,
% 100.81/13.40 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ '#sk14') => (c @ Y0 @ '#sk13'))))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl272, '8'])).
% 100.81/13.40 thf(zip_derived_cl283, plain,
% 100.81/13.40 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ '#sk14')))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl278])).
% 100.81/13.40 thf(zip_derived_cl284, plain,
% 100.81/13.40 (![X2 : reg]: (((c @ X2 @ '#sk14') => (c @ X2 @ '#sk13')))),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl283])).
% 100.81/13.40 thf(zip_derived_cl292, plain,
% 100.81/13.40 (![X2 : reg]: (~ (c @ X2 @ '#sk14') | (c @ X2 @ '#sk13'))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl284])).
% 100.81/13.40 thf(zip_derived_cl326, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 ( (c @ ('#sk15' @ X0) @ X0)
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ X1)))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13')))))))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl321])).
% 100.81/13.40 thf(zip_derived_cl334, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13')))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | (c @ ('#sk15' @ X0) @ X0))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl326])).
% 100.81/13.40 thf(zip_derived_cl340, plain,
% 100.81/13.40 (![X1 : reg]:
% 100.81/13.40 ( ('#form16' @ X1)
% 100.81/13.40 | ~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13'))))),
% 100.81/13.40 define([status(thm)])).
% 100.81/13.40 thf(zip_derived_cl345, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ ('#form16' @ X1)
% 100.81/13.40 | (c @ ('#sk15' @ X0) @ X0)
% 100.81/13.40 | ~ (c @ ('#sk6' @ X1) @ france)
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0))),
% 100.81/13.40 inference('renaming', [status(thm)],
% 100.81/13.40 [zip_derived_cl334, zip_derived_cl340])).
% 100.81/13.40 thf(zip_derived_cl340, plain,
% 100.81/13.40 (![X1 : reg]:
% 100.81/13.40 ( ('#form16' @ X1)
% 100.81/13.40 | ~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13'))))),
% 100.81/13.40 define([status(thm)])).
% 100.81/13.40 thf(zip_derived_cl341, plain,
% 100.81/13.40 (![X1 : reg]: ( (c @ ('#sk15' @ X1) @ X1) | ('#form16' @ X1))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl340])).
% 100.81/13.40 thf(zip_derived_cl261, plain, ( (o @ '#sk13' @ paris)),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl258])).
% 100.81/13.40 thf(zip_derived_cl264, plain,
% 100.81/13.40 ( (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk13') & (p @ Y0 @ paris))))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl261, '9'])).
% 100.81/13.40 thf(zip_derived_cl268, plain,
% 100.81/13.40 ( (((??) @ ((('#S') @ ((('#B') @ (&) @ ((('#C') @ p @ '#sk13')))) @
% 100.81/13.40 ((('#C') @ p @ paris))))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl264])).
% 100.81/13.40 thf(zip_derived_cl269, plain,
% 100.81/13.40 ( (((p @ ('#sk9' @ '#sk13') @ '#sk13') & (p @ ('#sk9' @ '#sk13') @ paris)))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl268])).
% 100.81/13.40 thf(zip_derived_cl274, plain, ( (p @ ('#sk9' @ '#sk13') @ '#sk13')),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl269])).
% 100.81/13.40 thf(zip_derived_cl280, plain,
% 100.81/13.40 ( (((!!) @ (^[Y0 : reg]:
% 100.81/13.40 (((c @ Y0 @ ('#sk9' @ '#sk13')) => (c @ Y0 @ '#sk13'))))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl274, '8'])).
% 100.81/13.40 thf(zip_derived_cl287, plain,
% 100.81/13.40 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 100.81/13.40 ((('#C') @ c @ ('#sk9' @ '#sk13'))))) @
% 100.81/13.40 ((('#C') @ c @ '#sk13'))))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl280])).
% 100.81/13.40 thf(zip_derived_cl288, plain,
% 100.81/13.40 (![X2 : reg]: (((c @ X2 @ ('#sk9' @ '#sk13')) => (c @ X2 @ '#sk13')))),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl287])).
% 100.81/13.40 thf(zip_derived_cl294, plain,
% 100.81/13.40 (![X2 : reg]: (~ (c @ X2 @ ('#sk9' @ '#sk13')) | (c @ X2 @ '#sk13'))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl288])).
% 100.81/13.40 thf(zip_derived_cl1783, plain,
% 100.81/13.40 (( ('#form16' @ ('#sk9' @ '#sk13'))
% 100.81/13.40 | (c @ ('#sk15' @ ('#sk9' @ '#sk13')) @ '#sk13'))),
% 100.81/13.40 inference('sup-', [status(thm)], [zip_derived_cl341, zip_derived_cl294])).
% 100.81/13.40 thf(zip_derived_cl342, plain,
% 100.81/13.40 (![X1 : reg]: (~ (c @ ('#sk15' @ X1) @ '#sk13') | ('#form16' @ X1))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl340])).
% 100.81/13.40 thf(zip_derived_cl12040, plain, ( ('#form16' @ ('#sk9' @ '#sk13'))),
% 100.81/13.40 inference('clc', [status(thm)], [zip_derived_cl1783, zip_derived_cl342])).
% 100.81/13.40 thf(ax3, axiom,
% 100.81/13.40 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( ntpp @ paris @ france ) ) ))).
% 100.81/13.40 thf(zip_derived_cl14, plain,
% 100.81/13.40 ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france))))),
% 100.81/13.40 inference('cnf', [status(esa)], [ax3])).
% 100.81/13.40 thf(zip_derived_cl15, plain,
% 100.81/13.40 ( (mvalid @ (mbox @ a @ ((('#K') @ (ntpp @ paris @ france)))))),
% 100.81/13.40 inference('lams2combs', [status(thm)], [zip_derived_cl14])).
% 100.81/13.40 thf(zip_derived_cl112, plain,
% 100.81/13.40 ( (((!!) @ (^[Y0 : $i]:
% 100.81/13.40 (mbox @ a @ ((('#K') @ (ntpp @ paris @ france))) @ Y0))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl15, '4'])).
% 100.81/13.40 thf(zip_derived_cl113, plain,
% 100.81/13.40 ( (((!!) @ (mbox @ a @ ((('#K') @ (ntpp @ paris @ france))))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl112])).
% 100.81/13.40 thf(zip_derived_cl114, plain,
% 100.81/13.40 (![X2 : $i]: (mbox @ a @ ((('#K') @ (ntpp @ paris @ france))) @ X2)),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl113])).
% 100.81/13.40 thf(zip_derived_cl115, plain,
% 100.81/13.40 (![X0 : $i]:
% 100.81/13.40 (((!!) @ (^[Y0 : $i]:
% 100.81/13.40 (((((~) @ (a @ X0 @ Y0))) |
% 100.81/13.40 ((('#K') @ (ntpp @ paris @ france) @ Y0)))))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl114, '5'])).
% 100.81/13.40 thf(zip_derived_cl116, plain,
% 100.81/13.40 (![X0 : $i]:
% 100.81/13.40 (((!!) @ ((('#C') @ ((('#B') @ (|) @ ((('#B') @ (~) @ (a @ X0))))) @
% 100.81/13.40 (ntpp @ paris @ france)))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl115])).
% 100.81/13.40 thf(zip_derived_cl117, plain,
% 100.81/13.40 (![X0 : $i, X2 : $i]:
% 100.81/13.40 (((((~) @ (a @ X0 @ X2))) | (ntpp @ paris @ france)))),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl116])).
% 100.81/13.40 thf(zip_derived_cl118, plain,
% 100.81/13.40 (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) | (ntpp @ paris @ france))),
% 100.81/13.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl117])).
% 100.81/13.40 thf(ntpp, axiom, (ntpp @ X0 @ X1) =>
% 100.81/13.40 ((((((~) @ (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))))) &
% 100.81/13.40 (pp @ X0 @ X1)))
% 100.81/13.40 = ($true))).
% 100.81/13.40 thf('10', plain,
% 100.81/13.40 (![X0:reg,X1:reg]:
% 100.81/13.40 ( ( ntpp @ X0 @ X1 ) <=>
% 100.81/13.40 ( ( pp @ X0 @ X1 ) &
% 100.81/13.40 ( ~( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) ) )),
% 100.81/13.40 inference('rw.lit', [status(esa)], [ntpp])).
% 100.81/13.40 thf(zip_derived_cl119, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]:
% 100.81/13.40 ( (((((~) @ (((??) @ (^[Y0 : reg]:
% 100.81/13.40 (((ec @ Y0 @ paris) & (ec @ Y0 @ france)))))))) &
% 100.81/13.40 (pp @ paris @ france)))
% 100.81/13.40 | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl118, '10'])).
% 100.81/13.40 thf(zip_derived_cl120, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]:
% 100.81/13.40 ( (((((~) @ (((??) @ ((('#S') @ ((('#B') @ (&) @
% 100.81/13.40 ((('#C') @ ec @ paris)))) @
% 100.81/13.40 ((('#C') @ ec @ france)))))))) &
% 100.81/13.40 (pp @ paris @ france)))
% 100.81/13.40 | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl119])).
% 100.81/13.40 thf(zip_derived_cl122, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]: ( (pp @ paris @ france) | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl120])).
% 100.81/13.40 thf(zip_derived_cl124, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]:
% 100.81/13.40 ( (((((~) @ (p @ france @ paris))) & (p @ paris @ france)))
% 100.81/13.40 | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl122, '7'])).
% 100.81/13.40 thf(zip_derived_cl127, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]: ( (p @ paris @ france) | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl124])).
% 100.81/13.40 thf(zip_derived_cl130, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]:
% 100.81/13.40 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ france))))))
% 100.81/13.40 | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl127, '8'])).
% 100.81/13.40 thf(zip_derived_cl134, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i]:
% 100.81/13.40 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ ((('#C') @ c @ paris)))) @
% 100.81/13.40 ((('#C') @ c @ france))))))
% 100.81/13.40 | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl130])).
% 100.81/13.40 thf(zip_derived_cl135, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i, X3 : reg]:
% 100.81/13.40 ( (((c @ X3 @ paris) => (c @ X3 @ france))) | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl134])).
% 100.81/13.40 thf(zip_derived_cl139, plain,
% 100.81/13.40 (![X0 : $i, X1 : $i, X3 : reg]:
% 100.81/13.40 (~ (c @ X3 @ paris) | (c @ X3 @ france) | ~ (a @ X1 @ X0))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl135])).
% 100.81/13.40 thf(zip_derived_cl255, plain, ( (a @ '#sk11' @ '#sk12')),
% 100.81/13.40 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl254])).
% 100.81/13.40 thf(zip_derived_cl991, plain,
% 100.81/13.40 (![X0 : reg]: ( (c @ X0 @ france) | ~ (c @ X0 @ paris))),
% 100.81/13.40 inference('sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl255])).
% 100.81/13.40 thf(zip_derived_cl275, plain, ( (p @ ('#sk9' @ '#sk13') @ paris)),
% 100.81/13.40 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl269])).
% 100.81/13.40 thf(zip_derived_cl281, plain,
% 100.81/13.40 ( (((!!) @ (^[Y0 : reg]:
% 100.81/13.40 (((c @ Y0 @ ('#sk9' @ '#sk13')) => (c @ Y0 @ paris))))))),
% 100.81/13.40 inference('rw_clause', [status(thm)], [zip_derived_cl275, '8'])).
% 100.81/13.40 thf(zip_derived_cl289, plain,
% 100.81/13.40 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 100.81/13.40 ((('#C') @ c @ ('#sk9' @ '#sk13'))))) @
% 100.81/13.40 ((('#C') @ c @ paris))))))),
% 100.81/13.40 inference('comb-normalize', [status(thm)], [zip_derived_cl281])).
% 100.81/13.40 thf(zip_derived_cl290, plain,
% 100.81/13.40 (![X2 : reg]: (((c @ X2 @ ('#sk9' @ '#sk13')) => (c @ X2 @ paris)))),
% 100.81/13.40 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl289])).
% 100.81/13.40 thf(zip_derived_cl295, plain,
% 100.81/13.40 (![X2 : reg]: (~ (c @ X2 @ ('#sk9' @ '#sk13')) | (c @ X2 @ paris))),
% 100.81/13.40 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl290])).
% 100.81/13.40 thf(zip_derived_cl332, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13')))
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0)
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | (c @ ('#sk15' @ X0) @ X0))),
% 100.81/13.40 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl324])).
% 100.81/13.40 thf(zip_derived_cl340, plain,
% 100.81/13.40 (![X1 : reg]:
% 100.81/13.40 ( ('#form16' @ X1)
% 100.81/13.40 | ~ (((c @ ('#sk15' @ X1) @ X1) => (c @ ('#sk15' @ X1) @ '#sk13'))))),
% 100.81/13.40 define([status(thm)])).
% 100.81/13.40 thf(zip_derived_cl343, plain,
% 100.81/13.40 (![X0 : reg, X1 : reg]:
% 100.81/13.40 (~ ('#form16' @ X1)
% 100.81/13.40 | (c @ ('#sk15' @ X0) @ X0)
% 100.81/13.40 | (c @ ('#sk6' @ X1) @ X1)
% 100.81/13.40 | (c @ ('#sk4' @ X0) @ X0))),
% 100.81/13.40 inference('renaming', [status(thm)],
% 100.81/13.40 [zip_derived_cl332, zip_derived_cl340])).
% 100.81/13.40 thf(zip_derived_cl20928, plain, ($false),
% 100.81/13.40 inference('eprover', [status(thm)],
% 100.81/13.40 [zip_derived_cl350, zip_derived_cl348, zip_derived_cl349,
% 100.81/13.40 zip_derived_cl347, zip_derived_cl429, zip_derived_cl293,
% 100.81/13.40 zip_derived_cl346, zip_derived_cl344, zip_derived_cl292,
% 100.81/13.40 zip_derived_cl345, zip_derived_cl12040, zip_derived_cl991,
% 100.81/13.40 zip_derived_cl295, zip_derived_cl343])).
% 100.81/13.40
% 100.81/13.40 % SZS output end Refutation
% 100.81/13.40
% 100.81/13.40
% 100.81/13.40 % Terminating...
% 100.95/13.49 % Runner terminated.
% 100.95/13.49 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------