%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GEG006^1 : TPTP v9.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Nxuar1E1dE true
% Computer : n015.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 : Thu Oct 2 04:33:30 PM UTC 2025
% Result : Theorem 24.62s 5.00s
% Output : Refutation 24.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEG006^1 : TPTP v9.2.0. Released v4.1.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Nxuar1E1dE true
% 0.12/0.35 % Computer : n015.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Wed Oct 1 11:14:09 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % Running portfolio for 300 s
% 0.12/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 % Number of cores: 8
% 0.20/0.44 % Python version: Python 3.6.8
% 0.20/0.44 % Running in HO mode
% 0.37/1.94 % Total configuration time : 828
% 0.37/1.94 % Estimated wc time : 1656
% 0.37/1.94 % Estimated cpu time (8 cpus) : 207.0
% 0.39/2.03 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.39/2.03 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.39/2.05 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.39/2.05 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.39/2.06 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.39/2.06 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.39/2.08 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.39/2.08 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.39/2.13 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.39/2.14 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 24.62/5.00 % Solved by lams/30_b.l.sh.
% 24.62/5.00 % done 463 iterations in 2.786s
% 24.62/5.00 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 24.62/5.00 % SZS output start Refutation
% 24.62/5.00 thf(reg_type, type, reg: $tType).
% 24.62/5.00 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
% 24.62/5.00 thf(paris_type, type, paris: reg).
% 24.62/5.00 thf(ntpp_type, type, ntpp: reg > reg > $o).
% 24.62/5.00 thf(a_type, type, a: $i > $i > $o).
% 24.62/5.00 thf('#form7_type', type, '#form7': reg > $o).
% 24.62/5.00 thf(pp_type, type, pp: reg > reg > $o).
% 24.62/5.00 thf('#sk1_type', type, '#sk1': $i).
% 24.62/5.00 thf(france_type, type, france: reg).
% 24.62/5.00 thf('#sk2_type', type, '#sk2': $i).
% 24.62/5.00 thf(ec_type, type, ec: reg > reg > $o).
% 24.62/5.00 thf('#sk5_type', type, '#sk5': reg > reg).
% 24.62/5.00 thf('#sk6_type', type, '#sk6': reg > reg).
% 24.62/5.00 thf(o_type, type, o: reg > reg > $o).
% 24.62/5.00 thf('#form4_type', type, '#form4': reg > $o).
% 24.62/5.00 thf(c_type, type, c: reg > reg > $o).
% 24.62/5.00 thf('#sk3_type', type, '#sk3': reg > reg).
% 24.62/5.00 thf('#form8_type', type, '#form8': reg > $o).
% 24.62/5.00 thf(p_type, type, p: reg > reg > $o).
% 24.62/5.00 thf(catalunya_type, type, catalunya: reg).
% 24.62/5.00 thf(spain_type, type, spain: reg).
% 24.62/5.00 thf(tpp_type, type, tpp: reg > reg > $o).
% 24.62/5.00 thf(mvalid_type, type, mvalid: ($i > $o) > $o).
% 24.62/5.00 thf(con, conjecture,
% 24.62/5.00 (mvalid @
% 24.62/5.00 ( mbox @
% 24.62/5.00 a @ ( ^[X:$i]: ( ( o @ france @ paris ) & ( o @ catalunya @ spain ) ) ) ))).
% 24.62/5.00 thf(zf_stmt_0, negated_conjecture,
% 24.62/5.00 (~( mvalid @
% 24.62/5.00 ( mbox @
% 24.62/5.00 a @
% 24.62/5.00 ( ^[X:$i]: ( ( o @ france @ paris ) & ( o @ catalunya @ spain ) ) ) ) )),
% 24.62/5.00 inference('cnf.neg', [status(esa)], [con])).
% 24.62/5.00 thf(zip_derived_cl8, plain,
% 24.62/5.00 (~ (mvalid @
% 24.62/5.00 (mbox @ a @
% 24.62/5.00 (^[Y0 : $i]: (((o @ france @ paris) & (o @ catalunya @ spain))))))),
% 24.62/5.00 inference('cnf', [status(esa)], [zf_stmt_0])).
% 24.62/5.00 thf(mvalid, axiom, ~ (mvalid @ X0) =>
% 24.62/5.00 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))).
% 24.62/5.00 thf('0', plain,
% 24.62/5.00 (![X0:( $i > $o )]:
% 24.62/5.00 ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )),
% 24.62/5.00 inference('rw.lit', [status(esa)], [mvalid])).
% 24.62/5.00 thf(zip_derived_cl9, plain,
% 24.62/5.00 (~ (((!!) @ (^[Y0 : $i]:
% 24.62/5.00 (mbox @ a @
% 24.62/5.00 (^[Y1 : $i]:
% 24.62/5.00 (((o @ france @ paris) & (o @ catalunya @ spain)))) @
% 24.62/5.00 Y0))))),
% 24.62/5.00 inference('rw_clause', [status(thm)], [zip_derived_cl8, '0'])).
% 24.62/5.00 thf(zip_derived_cl10, plain,
% 24.62/5.00 (~ (mbox @ a @
% 24.62/5.00 (^[Y0 : $i]: (((o @ france @ paris) & (o @ catalunya @ spain)))) @
% 24.62/5.00 '#sk1')),
% 24.62/5.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 24.62/5.00 thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) =>
% 24.62/5.00 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) !=
% 24.62/5.00 ($true))).
% 24.62/5.00 thf('1', plain,
% 24.62/5.00 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 24.62/5.00 ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=>
% 24.62/5.00 ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )),
% 24.62/5.00 inference('rw.lit', [status(esa)], [mbox])).
% 24.62/5.00 thf(zip_derived_cl11, plain,
% 24.62/5.00 (~ (((!!) @ (^[Y0 : $i]:
% 24.62/5.00 (((((~) @ (a @ '#sk1' @ Y0))) |
% 24.62/5.00 ((^[Y1 : $i]:
% 24.62/5.00 (((o @ france @ paris) & (o @ catalunya @ spain)))) @
% 24.62/5.00 Y0))))))),
% 24.62/5.00 inference('rw_clause', [status(thm)], [zip_derived_cl10, '1'])).
% 24.62/5.00 thf(zip_derived_cl12, plain,
% 24.62/5.00 (~ (((!!) @ (^[Y0 : $i]:
% 24.62/5.00 (((((~) @ (a @ '#sk1' @ Y0))) |
% 24.62/5.00 (((o @ france @ paris) & (o @ catalunya @ spain))))))))),
% 24.62/5.00 inference('ho_norm', [status(thm)], [zip_derived_cl11])).
% 24.62/5.00 thf(zip_derived_cl13, plain,
% 24.62/5.00 (~ (((((~) @ (a @ '#sk1' @ '#sk2'))) |
% 24.62/5.00 (((o @ france @ paris) & (o @ catalunya @ spain)))))),
% 24.62/5.00 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl12])).
% 24.62/5.00 thf(zip_derived_cl15, plain,
% 24.62/5.00 (~ (((o @ france @ paris) & (o @ catalunya @ spain)))),
% 24.62/5.00 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
% 24.62/5.00 thf(zip_derived_cl16, plain,
% 24.62/5.00 ((~ (o @ france @ paris) | ~ (o @ catalunya @ spain))),
% 24.62/5.00 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
% 24.62/5.00 thf(o, axiom, ~ (o @ X0 @ X1) =>
% 24.62/5.00 ((((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ X1)))))) != ($true))).
% 24.62/5.00 thf('2', plain,
% 24.62/5.00 (![X0:reg,X1:reg]:
% 24.62/5.00 ( ( ~( o @ X0 @ X1 ) ) <=>
% 24.62/5.00 ( ~( ?[X6:reg]: ( ( p @ X6 @ X0 ) & ( p @ X6 @ X1 ) ) ) ) )),
% 24.62/5.00 inference('rw.lit', [status(esa)], [o])).
% 24.62/5.00 thf(zip_derived_cl17, plain,
% 24.62/5.00 ((~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
% 24.62/5.00 | ~ (o @ catalunya @ spain))),
% 24.62/5.00 inference('rw_clause', [status(thm)], [zip_derived_cl16, '2'])).
% 24.62/5.00 thf(zip_derived_cl18, plain,
% 24.62/5.00 ((~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ catalunya) & (p @ Y0 @ spain))))))
% 24.62/5.00 | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris)))))))),
% 24.62/5.00 inference('rw_clause', [status(thm)], [zip_derived_cl17, '2'])).
% 24.62/5.00 thf(zip_derived_cl19, plain,
% 24.62/5.00 (![X2 : reg]:
% 24.62/5.00 (~ (((p @ X2 @ catalunya) & (p @ X2 @ spain)))
% 24.62/5.00 | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris)))))))),
% 24.62/5.00 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])).
% 24.62/5.00 thf(zip_derived_cl20, plain,
% 24.62/5.00 (![X2 : reg]:
% 24.62/5.00 (~ (p @ X2 @ catalunya)
% 24.62/5.00 | ~ (p @ X2 @ spain)
% 24.62/5.00 | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris)))))))),
% 24.62/5.00 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl19])).
% 24.62/5.01 thf(p, axiom, ~ (p @ X0 @ X1) =>
% 24.62/5.01 ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) != ($true))).
% 24.62/5.01 thf('3', plain,
% 24.62/5.01 (![X0:reg,X1:reg]:
% 24.62/5.01 ( ( ~( p @ X0 @ X1 ) ) <=>
% 24.62/5.01 ( ~( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) ) )),
% 24.62/5.01 inference('rw.lit', [status(esa)], [p])).
% 24.62/5.01 thf(zip_derived_cl21, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya))))))
% 24.62/5.01 | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
% 24.62/5.01 | ~ (p @ X0 @ spain))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl20, '3'])).
% 24.62/5.01 thf(zip_derived_cl22, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ spain))))))
% 24.62/5.01 | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl21, '3'])).
% 24.62/5.01 thf(zip_derived_cl23, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 (~ (((c @ ('#sk3' @ X0) @ X0) => (c @ ('#sk3' @ X0) @ spain)))
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya))))))
% 24.62/5.01 | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris)))))))),
% 24.62/5.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl22])).
% 24.62/5.01 thf(zip_derived_cl24, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 ( (c @ ('#sk3' @ X0) @ X0)
% 24.62/5.01 | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
% 24.62/5.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 24.62/5.01 thf(zip_derived_cl24, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 ( (c @ ('#sk3' @ X0) @ X0)
% 24.62/5.01 | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
% 24.62/5.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 24.62/5.01 thf(zip_derived_cl26, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 ( ('#form4' @ X0)
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
% 24.62/5.01 define([status(thm)])).
% 24.62/5.01 thf(zip_derived_cl28, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 (~ ('#form4' @ X0)
% 24.62/5.01 | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
% 24.62/5.01 | (c @ ('#sk3' @ X0) @ X0))),
% 24.62/5.01 inference('renaming', [status(thm)], [zip_derived_cl24, zip_derived_cl26])).
% 24.62/5.01 thf(zip_derived_cl30, plain,
% 24.62/5.01 (![X0 : reg, X2 : reg]:
% 24.62/5.01 (~ (((p @ X2 @ france) & (p @ X2 @ paris)))
% 24.62/5.01 | (c @ ('#sk3' @ X0) @ X0)
% 24.62/5.01 | ~ ('#form4' @ X0))),
% 24.62/5.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])).
% 24.62/5.01 thf(zip_derived_cl34, plain,
% 24.62/5.01 (![X0 : reg, X2 : reg]:
% 24.62/5.01 (~ (p @ X2 @ france)
% 24.62/5.01 | ~ (p @ X2 @ paris)
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | (c @ ('#sk3' @ X0) @ X0))),
% 24.62/5.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl30])).
% 24.62/5.01 thf(zip_derived_cl36, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
% 24.62/5.01 | (c @ ('#sk3' @ X0) @ X0)
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | ~ (p @ X1 @ paris))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl34, '3'])).
% 24.62/5.01 thf(zip_derived_cl38, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ paris))))))
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | (c @ ('#sk3' @ X0) @ X0)
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl36, '3'])).
% 24.62/5.01 thf(zip_derived_cl40, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris)))
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
% 24.62/5.01 | (c @ ('#sk3' @ X0) @ X0)
% 24.62/5.01 | ~ ('#form4' @ X0))),
% 24.62/5.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl38])).
% 24.62/5.01 thf(zip_derived_cl42, plain,
% 24.62/5.01 (![X1 : reg]:
% 24.62/5.01 ( ('#form7' @ X1)
% 24.62/5.01 | ~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris))))),
% 24.62/5.01 define([status(thm)])).
% 24.62/5.01 thf(zip_derived_cl43, plain,
% 24.62/5.01 (![X1 : reg]: ( (c @ ('#sk6' @ X1) @ X1) | ('#form7' @ X1))),
% 24.62/5.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl42])).
% 24.62/5.01 thf(zip_derived_cl44, plain,
% 24.62/5.01 (![X1 : reg]: (~ (c @ ('#sk6' @ X1) @ paris) | ('#form7' @ X1))),
% 24.62/5.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl42])).
% 24.62/5.01 thf(zip_derived_cl251, plain, (( ('#form7' @ paris) | ('#form7' @ paris))),
% 24.62/5.01 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl44])).
% 24.62/5.01 thf(zip_derived_cl254, plain, ( ('#form7' @ paris)),
% 24.62/5.01 inference('simplify', [status(thm)], [zip_derived_cl251])).
% 24.62/5.01 thf(zip_derived_cl254, plain, ( ('#form7' @ paris)),
% 24.62/5.01 inference('simplify', [status(thm)], [zip_derived_cl251])).
% 24.62/5.01 thf(zip_derived_cl40, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris)))
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
% 24.62/5.01 | (c @ ('#sk3' @ X0) @ X0)
% 24.62/5.01 | ~ ('#form4' @ X0))),
% 24.62/5.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl38])).
% 24.62/5.01 thf(zip_derived_cl42, plain,
% 24.62/5.01 (![X1 : reg]:
% 24.62/5.01 ( ('#form7' @ X1)
% 24.62/5.01 | ~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris))))),
% 24.62/5.01 define([status(thm)])).
% 24.62/5.01 thf(zip_derived_cl45, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ ('#form7' @ X1)
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | (c @ ('#sk3' @ X0) @ X0)
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
% 24.62/5.01 inference('renaming', [status(thm)], [zip_derived_cl40, zip_derived_cl42])).
% 24.62/5.01 thf(zip_derived_cl45, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ ('#form7' @ X1)
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | (c @ ('#sk3' @ X0) @ X0)
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
% 24.62/5.01 inference('renaming', [status(thm)], [zip_derived_cl40, zip_derived_cl42])).
% 24.62/5.01 thf(zip_derived_cl47, plain,
% 24.62/5.01 (![X1 : reg]:
% 24.62/5.01 ( ('#form8' @ X1)
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
% 24.62/5.01 define([status(thm)])).
% 24.62/5.01 thf(zip_derived_cl49, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ ('#form8' @ X1)
% 24.62/5.01 | (c @ ('#sk3' @ X0) @ X0)
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | ~ ('#form7' @ X1))),
% 24.62/5.01 inference('renaming', [status(thm)], [zip_derived_cl45, zip_derived_cl47])).
% 24.62/5.01 thf(ax1, axiom,
% 24.62/5.01 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( tpp @ catalunya @ spain ) ) ))).
% 24.62/5.01 thf(zip_derived_cl5, plain,
% 24.62/5.01 ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain))))),
% 24.62/5.01 inference('cnf', [status(esa)], [ax1])).
% 24.62/5.01 thf(mvalid, axiom, (mvalid @ X0) =>
% 24.62/5.01 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))).
% 24.62/5.01 thf('4', plain,
% 24.62/5.01 (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )),
% 24.62/5.01 inference('rw.lit', [status(esa)], [mvalid])).
% 24.62/5.01 thf(zip_derived_cl53, plain,
% 24.62/5.01 ( (((!!) @ (^[Y0 : $i]:
% 24.62/5.01 (mbox @ a @ (^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl5, '4'])).
% 24.62/5.01 thf(zip_derived_cl54, plain,
% 24.62/5.01 (![X2 : $i]: (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)) @ X2)),
% 24.62/5.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl53])).
% 24.62/5.01 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) =>
% 24.62/5.01 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) =
% 24.62/5.01 ($true))).
% 24.62/5.01 thf('5', plain,
% 24.62/5.01 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]:
% 24.62/5.01 ( ( mbox @ X0 @ X1 @ X2 ) <=>
% 24.62/5.01 ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )),
% 24.62/5.01 inference('rw.lit', [status(esa)], [mbox])).
% 24.62/5.01 thf(zip_derived_cl55, plain,
% 24.62/5.01 (![X0 : $i]:
% 24.62/5.01 (((!!) @ (^[Y0 : $i]:
% 24.62/5.01 (((((~) @ (a @ X0 @ Y0))) |
% 24.62/5.01 ((^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl54, '5'])).
% 24.62/5.01 thf(zip_derived_cl56, plain,
% 24.62/5.01 (![X0 : $i]:
% 24.62/5.01 (((!!) @ (^[Y0 : $i]:
% 24.62/5.01 (((((~) @ (a @ X0 @ Y0))) | (tpp @ catalunya @ spain))))))),
% 24.62/5.01 inference('ho_norm', [status(thm)], [zip_derived_cl55])).
% 24.62/5.01 thf(zip_derived_cl57, plain,
% 24.62/5.01 (![X0 : $i, X2 : $i]:
% 24.62/5.01 (((((~) @ (a @ X0 @ X2))) | (tpp @ catalunya @ spain)))),
% 24.62/5.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl56])).
% 24.62/5.01 thf(zip_derived_cl58, plain,
% 24.62/5.01 (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) | (tpp @ catalunya @ spain))),
% 24.62/5.01 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl57])).
% 24.62/5.01 thf(tpp, axiom, (tpp @ X0 @ X1) =>
% 24.62/5.01 ((((((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))) & (pp @
% 24.62/5.01 X0 @ X1)))
% 24.62/5.01 = ($true))).
% 24.62/5.01 thf('6', plain,
% 24.62/5.01 (![X0:reg,X1:reg]:
% 24.62/5.01 ( ( tpp @ X0 @ X1 ) <=>
% 24.62/5.01 ( ( pp @ X0 @ X1 ) &
% 24.62/5.01 ( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) )),
% 24.62/5.01 inference('rw.lit', [status(esa)], [tpp])).
% 24.62/5.01 thf(zip_derived_cl59, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]:
% 24.62/5.01 ( (((((??) @ (^[Y0 : reg]:
% 24.62/5.01 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ spain)))))) &
% 24.62/5.01 (pp @ catalunya @ spain)))
% 24.62/5.01 | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl58, '6'])).
% 24.62/5.01 thf(zip_derived_cl61, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]: ( (pp @ catalunya @ spain) | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl59])).
% 24.62/5.01 thf(pp, axiom, (pp @ X0 @ X1) =>
% 24.62/5.01 ((((((~) @ (p @ X1 @ X0))) & (p @ X0 @ X1))) = ($true))).
% 24.62/5.01 thf('7', plain,
% 24.62/5.01 (![X0:reg,X1:reg]:
% 24.62/5.01 ( ( pp @ X0 @ X1 ) <=> ( ( p @ X0 @ X1 ) & ( ~( p @ X1 @ X0 ) ) ) )),
% 24.62/5.01 inference('rw.lit', [status(esa)], [pp])).
% 24.62/5.01 thf(zip_derived_cl63, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]:
% 24.62/5.01 ( (((((~) @ (p @ spain @ catalunya))) & (p @ catalunya @ spain)))
% 24.62/5.01 | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl61, '7'])).
% 24.62/5.01 thf(zip_derived_cl67, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]: ( (p @ catalunya @ spain) | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])).
% 24.62/5.01 thf(p, axiom, (p @ X0 @ X1) =>
% 24.62/5.01 ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) = ($true))).
% 24.62/5.01 thf('8', plain,
% 24.62/5.01 (![X0:reg,X1:reg]:
% 24.62/5.01 ( ( p @ X0 @ X1 ) <=>
% 24.62/5.01 ( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) )),
% 24.62/5.01 inference('rw.lit', [status(esa)], [p])).
% 24.62/5.01 thf(zip_derived_cl71, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]:
% 24.62/5.01 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) => (c @ Y0 @ spain))))))
% 24.62/5.01 | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl67, '8'])).
% 24.62/5.01 thf(zip_derived_cl77, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i, X3 : reg]:
% 24.62/5.01 ( (((c @ X3 @ catalunya) => (c @ X3 @ spain))) | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl71])).
% 24.62/5.01 thf(zip_derived_cl80, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i, X3 : reg]:
% 24.62/5.01 (~ (c @ X3 @ catalunya) | (c @ X3 @ spain) | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl77])).
% 24.62/5.01 thf(zip_derived_cl14, plain, ( (a @ '#sk1' @ '#sk2')),
% 24.62/5.01 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
% 24.62/5.01 thf(zip_derived_cl457, plain,
% 24.62/5.01 (![X0 : reg]: ( (c @ X0 @ spain) | ~ (c @ X0 @ catalunya))),
% 24.62/5.01 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl14])).
% 24.62/5.01 thf(zip_derived_cl25, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 (~ (c @ ('#sk3' @ X0) @ spain)
% 24.62/5.01 | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
% 24.62/5.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl23])).
% 24.62/5.01 thf(zip_derived_cl26, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 ( ('#form4' @ X0)
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
% 24.62/5.01 define([status(thm)])).
% 24.62/5.01 thf(zip_derived_cl29, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 (~ ('#form4' @ X0)
% 24.62/5.01 | ~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ france) & (p @ Y0 @ paris))))))
% 24.62/5.01 | ~ (c @ ('#sk3' @ X0) @ spain))),
% 24.62/5.01 inference('renaming', [status(thm)], [zip_derived_cl25, zip_derived_cl26])).
% 24.62/5.01 thf(zip_derived_cl33, plain,
% 24.62/5.01 (![X0 : reg, X2 : reg]:
% 24.62/5.01 (~ (((p @ X2 @ france) & (p @ X2 @ paris)))
% 24.62/5.01 | ~ (c @ ('#sk3' @ X0) @ spain)
% 24.62/5.01 | ~ ('#form4' @ X0))),
% 24.62/5.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl29])).
% 24.62/5.01 thf(zip_derived_cl35, plain,
% 24.62/5.01 (![X0 : reg, X2 : reg]:
% 24.62/5.01 (~ (p @ X2 @ france)
% 24.62/5.01 | ~ (p @ X2 @ paris)
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | ~ (c @ ('#sk3' @ X0) @ spain))),
% 24.62/5.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])).
% 24.62/5.01 thf(zip_derived_cl37, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
% 24.62/5.01 | ~ (c @ ('#sk3' @ X0) @ spain)
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | ~ (p @ X1 @ paris))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl35, '3'])).
% 24.62/5.01 thf(zip_derived_cl39, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ paris))))))
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | ~ (c @ ('#sk3' @ X0) @ spain)
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl37, '3'])).
% 24.62/5.01 thf(zip_derived_cl41, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris)))
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france))))))
% 24.62/5.01 | ~ (c @ ('#sk3' @ X0) @ spain)
% 24.62/5.01 | ~ ('#form4' @ X0))),
% 24.62/5.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl39])).
% 24.62/5.01 thf(zip_derived_cl42, plain,
% 24.62/5.01 (![X1 : reg]:
% 24.62/5.01 ( ('#form7' @ X1)
% 24.62/5.01 | ~ (((c @ ('#sk6' @ X1) @ X1) => (c @ ('#sk6' @ X1) @ paris))))),
% 24.62/5.01 define([status(thm)])).
% 24.62/5.01 thf(zip_derived_cl46, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ ('#form7' @ X1)
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | ~ (c @ ('#sk3' @ X0) @ spain)
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
% 24.62/5.01 inference('renaming', [status(thm)], [zip_derived_cl41, zip_derived_cl42])).
% 24.62/5.01 thf(zip_derived_cl47, plain,
% 24.62/5.01 (![X1 : reg]:
% 24.62/5.01 ( ('#form8' @ X1)
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
% 24.62/5.01 define([status(thm)])).
% 24.62/5.01 thf(zip_derived_cl50, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ ('#form8' @ X1)
% 24.62/5.01 | ~ (c @ ('#sk3' @ X0) @ spain)
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | ~ ('#form7' @ X1))),
% 24.62/5.01 inference('renaming', [status(thm)], [zip_derived_cl46, zip_derived_cl47])).
% 24.62/5.01 thf(zip_derived_cl475, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ (c @ ('#sk3' @ X0) @ catalunya)
% 24.62/5.01 | ~ ('#form7' @ X1)
% 24.62/5.01 | ~ ('#form4' @ X0)
% 24.62/5.01 | ~ ('#form8' @ X1))),
% 24.62/5.01 inference('sup-', [status(thm)], [zip_derived_cl457, zip_derived_cl50])).
% 24.62/5.01 thf(zip_derived_cl4984, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ ('#form7' @ X1)
% 24.62/5.01 | ~ ('#form4' @ catalunya)
% 24.62/5.01 | ~ ('#form8' @ X1)
% 24.62/5.01 | ~ ('#form8' @ X0)
% 24.62/5.01 | ~ ('#form4' @ catalunya)
% 24.62/5.01 | ~ ('#form7' @ X0))),
% 24.62/5.01 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl475])).
% 24.62/5.01 thf(zip_derived_cl26, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 ( ('#form4' @ X0)
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))))),
% 24.62/5.01 define([status(thm)])).
% 24.62/5.01 thf(zip_derived_cl27, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 (~ (((c @ ('#sk5' @ X0) @ X0) => (c @ ('#sk5' @ X0) @ catalunya)))
% 24.62/5.01 | ('#form4' @ X0))),
% 24.62/5.01 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl26])).
% 24.62/5.01 thf(zip_derived_cl31, plain,
% 24.62/5.01 (![X0 : reg]: ( (c @ ('#sk5' @ X0) @ X0) | ('#form4' @ X0))),
% 24.62/5.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])).
% 24.62/5.01 thf(zip_derived_cl32, plain,
% 24.62/5.01 (![X0 : reg]: (~ (c @ ('#sk5' @ X0) @ catalunya) | ('#form4' @ X0))),
% 24.62/5.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])).
% 24.62/5.01 thf(zip_derived_cl243, plain,
% 24.62/5.01 (( ('#form4' @ catalunya) | ('#form4' @ catalunya))),
% 24.62/5.01 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl32])).
% 24.62/5.01 thf(zip_derived_cl246, plain, ( ('#form4' @ catalunya)),
% 24.62/5.01 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 24.62/5.01 thf(zip_derived_cl246, plain, ( ('#form4' @ catalunya)),
% 24.62/5.01 inference('simplify', [status(thm)], [zip_derived_cl243])).
% 24.62/5.01 thf(zip_derived_cl5032, plain,
% 24.62/5.01 (![X0 : reg, X1 : reg]:
% 24.62/5.01 (~ ('#form7' @ X1)
% 24.62/5.01 | ~ ('#form8' @ X1)
% 24.62/5.01 | ~ ('#form8' @ X0)
% 24.62/5.01 | ~ ('#form7' @ X0))),
% 24.62/5.01 inference('demod', [status(thm)],
% 24.62/5.01 [zip_derived_cl4984, zip_derived_cl246, zip_derived_cl246])).
% 24.62/5.01 thf(zip_derived_cl5071, plain,
% 24.62/5.01 (![X0 : reg]:
% 24.62/5.01 (~ ('#form8' @ paris) | ~ ('#form8' @ X0) | ~ ('#form7' @ X0))),
% 24.62/5.01 inference('sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl5032])).
% 24.62/5.01 thf(ax3, axiom,
% 24.62/5.01 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( ntpp @ paris @ france ) ) ))).
% 24.62/5.01 thf(zip_derived_cl7, plain,
% 24.62/5.01 ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france))))),
% 24.62/5.01 inference('cnf', [status(esa)], [ax3])).
% 24.62/5.01 thf(zip_derived_cl102, plain,
% 24.62/5.01 ( (((!!) @ (^[Y0 : $i]:
% 24.62/5.01 (mbox @ a @ (^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl7, '4'])).
% 24.62/5.01 thf(zip_derived_cl103, plain,
% 24.62/5.01 (![X2 : $i]: (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)) @ X2)),
% 24.62/5.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl102])).
% 24.62/5.01 thf(zip_derived_cl104, plain,
% 24.62/5.01 (![X0 : $i]:
% 24.62/5.01 (((!!) @ (^[Y0 : $i]:
% 24.62/5.01 (((((~) @ (a @ X0 @ Y0))) |
% 24.62/5.01 ((^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl103, '5'])).
% 24.62/5.01 thf(zip_derived_cl105, plain,
% 24.62/5.01 (![X0 : $i]:
% 24.62/5.01 (((!!) @ (^[Y0 : $i]:
% 24.62/5.01 (((((~) @ (a @ X0 @ Y0))) | (ntpp @ paris @ france))))))),
% 24.62/5.01 inference('ho_norm', [status(thm)], [zip_derived_cl104])).
% 24.62/5.01 thf(zip_derived_cl106, plain,
% 24.62/5.01 (![X0 : $i, X2 : $i]:
% 24.62/5.01 (((((~) @ (a @ X0 @ X2))) | (ntpp @ paris @ france)))),
% 24.62/5.01 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl105])).
% 24.62/5.01 thf(zip_derived_cl107, plain,
% 24.62/5.01 (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) | (ntpp @ paris @ france))),
% 24.62/5.01 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl106])).
% 24.62/5.01 thf(ntpp, axiom, (ntpp @ X0 @ X1) =>
% 24.62/5.01 ((((((~) @ (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))))) &
% 24.62/5.01 (pp @ X0 @ X1)))
% 24.62/5.01 = ($true))).
% 24.62/5.01 thf('9', plain,
% 24.62/5.01 (![X0:reg,X1:reg]:
% 24.62/5.01 ( ( ntpp @ X0 @ X1 ) <=>
% 24.62/5.01 ( ( pp @ X0 @ X1 ) &
% 24.62/5.01 ( ~( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) ) )),
% 24.62/5.01 inference('rw.lit', [status(esa)], [ntpp])).
% 24.62/5.01 thf(zip_derived_cl108, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]:
% 24.62/5.01 ( (((((~) @ (((??) @ (^[Y0 : reg]:
% 24.62/5.01 (((ec @ Y0 @ paris) & (ec @ Y0 @ france)))))))) &
% 24.62/5.01 (pp @ paris @ france)))
% 24.62/5.01 | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl107, '9'])).
% 24.62/5.01 thf(zip_derived_cl110, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]: ( (pp @ paris @ france) | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl108])).
% 24.62/5.01 thf(zip_derived_cl112, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]:
% 24.62/5.01 ( (((((~) @ (p @ france @ paris))) & (p @ paris @ france)))
% 24.62/5.01 | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl110, '7'])).
% 24.62/5.01 thf(zip_derived_cl115, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]: ( (p @ paris @ france) | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl112])).
% 24.62/5.01 thf(zip_derived_cl118, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]:
% 24.62/5.01 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ france))))))
% 24.62/5.01 | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl115, '8'])).
% 24.62/5.01 thf(zip_derived_cl118, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]:
% 24.62/5.01 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ france))))))
% 24.62/5.01 | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('rw_clause', [status(thm)], [zip_derived_cl115, '8'])).
% 24.62/5.01 thf(zip_derived_cl121, plain,
% 24.62/5.01 (![X1 : reg]:
% 24.62/5.01 (~ ('#form8' @ X1)
% 24.62/5.01 | (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
% 24.62/5.01 define([status(thm)])).
% 24.62/5.01 thf(zip_derived_cl47, plain,
% 24.62/5.01 (![X1 : reg]:
% 24.62/5.01 ( ('#form8' @ X1)
% 24.62/5.01 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X1) => (c @ Y0 @ france)))))))),
% 24.62/5.01 define([status(thm)])).
% 24.62/5.01 thf(zip_derived_cl123, plain,
% 24.62/5.01 (![X0 : $i, X1 : $i]: ( ('#form8' @ paris) | ~ (a @ X1 @ X0))),
% 24.62/5.01 inference('renaming', [status(thm)],
% 24.62/5.01 [zip_derived_cl118, zip_derived_cl121, zip_derived_cl47])).
% 24.62/5.01 thf(zip_derived_cl14, plain, ( (a @ '#sk1' @ '#sk2')),
% 24.62/5.01 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
% 24.62/5.01 thf(zip_derived_cl238, plain, ( ('#form8' @ paris)),
% 24.62/5.01 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl14])).
% 24.62/5.01 thf(zip_derived_cl5159, plain,
% 24.62/5.01 (![X0 : reg]: (~ ('#form8' @ X0) | ~ ('#form7' @ X0))),
% 24.62/5.01 inference('demod', [status(thm)], [zip_derived_cl5071, zip_derived_cl238])).
% 24.62/5.01 thf(zip_derived_cl5225, plain, (~ ('#form8' @ paris)),
% 24.62/5.01 inference('sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl5159])).
% 24.62/5.01 thf(zip_derived_cl238, plain, ( ('#form8' @ paris)),
% 24.62/5.01 inference('sup+', [status(thm)], [zip_derived_cl123, zip_derived_cl14])).
% 24.62/5.01 thf(zip_derived_cl5263, plain, ($false),
% 24.62/5.01 inference('demod', [status(thm)], [zip_derived_cl5225, zip_derived_cl238])).
% 24.62/5.01
% 24.62/5.01 % SZS output end Refutation
% 24.62/5.01
% 24.62/5.01
% 24.62/5.01 % Terminating...
% 24.62/5.09 % Runner terminated.
% 24.64/5.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------