0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.wQzG5gG8wu true 0.13/0.35 % Computer : n027.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 07:46:51 EDT 2022 0.13/0.35 % CPUTime : 0.13/0.35 % Running portfolio for 960 s 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p 0.13/0.35 % Number of cores: 8 0.13/0.35 % Python version: Python 3.6.8 0.21/0.35 % Running in HO mode 0.56/0.65 % Total configuration time : 828 0.56/0.65 % Estimated wc time : 1656 0.56/0.65 % Estimated cpu time (8 cpus) : 207.0 0.56/0.71 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s 0.56/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s 0.57/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s 0.57/0.80 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s 126.47/16.88 % Solved by lams/30_b.l.sh. 126.47/16.88 % running E: timeout 14 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.wQzG5gG8wu/e_inputeeeeef --cpu-limit=12 --auto -s -p 126.47/16.88 % done 2419 iterations in 15.986s 126.47/16.88 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p' 126.47/16.88 % SZS output start Refutation 126.47/16.88 thf(reg_type, type, reg: $tType). 126.47/16.88 thf('#sk11_type', type, '#sk11': reg > reg). 126.47/16.88 thf('#sk97_type', type, '#sk97': reg). 126.47/16.88 thf('#sk7_type', type, '#sk7': reg). 126.47/16.88 thf('#sk89_type', type, '#sk89': $i). 126.47/16.88 thf(spain_type, type, spain: reg). 126.47/16.88 thf(tpp_type, type, tpp: reg > reg > $o). 126.47/16.88 thf('#form99_type', type, '#form99': $o). 126.47/16.88 thf(paris_type, type, paris: reg). 126.47/16.88 thf(ec_type, type, ec: reg > reg > $o). 126.47/16.88 thf('#sk100_type', type, '#sk100': reg). 126.47/16.88 thf(a_type, type, a: $i > $i > $o). 126.47/16.88 thf('#form106_type', type, '#form106': reg > $o). 126.47/16.88 thf(p_type, type, p: reg > reg > $o). 126.47/16.88 thf('#sk90_type', type, '#sk90': $i). 126.47/16.88 thf('#sk107_type', type, '#sk107': reg > reg). 126.47/16.88 thf('#sk93_type', type, '#sk93': reg). 126.47/16.88 thf(fool_type, type, fool: $i > $i > $o). 126.47/16.88 thf(catalunya_type, type, catalunya: reg). 126.47/16.88 thf(mvalid_type, type, mvalid: ($i > $o) > $o). 126.47/16.88 thf('#form103_type', type, '#form103': reg > $o). 126.47/16.88 thf('#sk91_type', type, '#sk91': reg). 126.47/16.88 thf('#sk101_type', type, '#sk101': reg). 126.47/16.88 thf('#sk104_type', type, '#sk104': reg > reg). 126.47/16.88 thf(o_type, type, o: reg > reg > $o). 126.47/16.88 thf('#form92_type', type, '#form92': $o). 126.47/16.88 thf('#form12_type', type, '#form12': reg > $o). 126.47/16.88 thf('#sk3_type', type, '#sk3': reg > reg). 126.47/16.88 thf('#sk95_type', type, '#sk95': reg > reg). 126.47/16.88 thf('#form96_type', type, '#form96': reg > $o). 126.47/16.88 thf('#form108_type', type, '#form108': reg > $o). 126.47/16.88 thf('#sk98_type', type, '#sk98': reg > reg). 126.47/16.88 thf('#sk2_type', type, '#sk2': reg). 126.47/16.88 thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o). 126.47/16.88 thf(c_type, type, c: reg > reg > $o). 126.47/16.88 thf('#form94_type', type, '#form94': $o). 126.47/16.88 thf('#sk102_type', type, '#sk102': reg > reg). 126.47/16.88 thf(france_type, type, france: reg). 126.47/16.88 thf('#sk8_type', type, '#sk8': reg > reg). 126.47/16.88 thf(pp_type, type, pp: reg > reg > $o). 126.47/16.88 thf('#sk105_type', type, '#sk105': reg > reg). 126.47/16.88 thf(ntpp_type, type, ntpp: reg > reg > $o). 126.47/16.88 thf(con, conjecture, 126.47/16.88 (mvalid @ 126.47/16.88 ( mbox @ 126.47/16.88 a @ 126.47/16.88 ( ^[X:$i]: 126.47/16.88 ( ![X:reg]: 126.47/16.88 ( ( ( ntpp @ spain @ X ) & ( ntpp @ france @ X ) ) => 126.47/16.88 ( ( ntpp @ paris @ X ) & ( ntpp @ catalunya @ X ) ) ) ) ) ))). 126.47/16.88 thf(zf_stmt_0, negated_conjecture, 126.47/16.88 (~( mvalid @ 126.47/16.88 ( mbox @ 126.47/16.88 a @ 126.47/16.88 ( ^[X:$i]: 126.47/16.88 ( ![X:reg]: 126.47/16.88 ( ( ( ntpp @ spain @ X ) & ( ntpp @ france @ X ) ) => 126.47/16.88 ( ( ntpp @ paris @ X ) & ( ntpp @ catalunya @ X ) ) ) ) ) ) )), 126.47/16.88 inference('cnf.neg', [status(esa)], [con])). 126.47/16.88 thf(zip_derived_cl8, plain, 126.47/16.88 (~ (mvalid @ 126.47/16.88 (mbox @ a @ 126.47/16.88 (^[Y0 : $i]: 126.47/16.88 (((!!) @ (^[Y1 : reg]: 126.47/16.88 (((((ntpp @ spain @ Y1) & (ntpp @ france @ Y1))) => 126.47/16.88 (((ntpp @ paris @ Y1) & (ntpp @ catalunya @ Y1)))))))))))), 126.47/16.88 inference('cnf', [status(esa)], [zf_stmt_0])). 126.47/16.88 thf(mvalid, axiom, ~ (mvalid @ X0) => 126.47/16.88 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) != ($true))). 126.47/16.88 thf('0', plain, 126.47/16.88 (![X0:( $i > $o )]: 126.47/16.88 ( ( ~( mvalid @ X0 ) ) <=> ( ~( ![X5:$i]: ( X0 @ X5 ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [mvalid])). 126.47/16.88 thf(zip_derived_cl192, plain, 126.47/16.88 (~ (((!!) @ (^[Y0 : $i]: 126.47/16.88 (mbox @ a @ 126.47/16.88 (^[Y1 : $i]: 126.47/16.88 (((!!) @ (^[Y2 : reg]: 126.47/16.88 (((((ntpp @ spain @ Y2) & (ntpp @ 126.47/16.88 france @ Y2))) => 126.47/16.88 (((ntpp @ paris @ Y2) & (ntpp @ 126.47/16.88 catalunya @ Y2))))))))) @ 126.47/16.88 Y0))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl8, '0'])). 126.47/16.88 thf(zip_derived_cl193, plain, 126.47/16.88 (~ (mbox @ a @ 126.47/16.88 (^[Y0 : $i]: 126.47/16.88 (((!!) @ (^[Y1 : reg]: 126.47/16.88 (((((ntpp @ spain @ Y1) & (ntpp @ france @ Y1))) => 126.47/16.88 (((ntpp @ paris @ Y1) & (ntpp @ catalunya @ Y1))))))))) @ 126.47/16.88 '#sk89')), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl192])). 126.47/16.88 thf(mbox, axiom, ~ (mbox @ X0 @ X1 @ X2) => 126.47/16.88 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) != 126.47/16.88 ($true))). 126.47/16.88 thf('1', plain, 126.47/16.88 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]: 126.47/16.88 ( ( ~( mbox @ X0 @ X1 @ X2 ) ) <=> 126.47/16.88 ( ~( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [mbox])). 126.47/16.88 thf(zip_derived_cl194, plain, 126.47/16.88 (~ (((!!) @ (^[Y0 : $i]: 126.47/16.88 (((((~) @ (a @ '#sk89' @ Y0))) | 126.47/16.88 ((^[Y1 : $i]: 126.47/16.88 (((!!) @ (^[Y2 : reg]: 126.47/16.88 (((((ntpp @ spain @ Y2) & (ntpp @ 126.47/16.88 france @ Y2))) => 126.47/16.88 (((ntpp @ paris @ Y2) & (ntpp @ 126.47/16.88 catalunya @ Y2))))))))) @ 126.47/16.88 Y0))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl193, '1'])). 126.47/16.88 thf(zip_derived_cl195, plain, 126.47/16.88 (~ (((!!) @ (^[Y0 : $i]: 126.47/16.88 (((((~) @ (a @ '#sk89' @ Y0))) | 126.47/16.88 (((!!) @ (^[Y1 : reg]: 126.47/16.88 (((((ntpp @ spain @ Y1) & (ntpp @ france @ 126.47/16.88 Y1))) => 126.47/16.88 (((ntpp @ paris @ Y1) & (ntpp @ 126.47/16.88 catalunya @ Y1)))))))))))))), 126.47/16.88 inference('ho_norm', [status(thm)], [zip_derived_cl194])). 126.47/16.88 thf(zip_derived_cl196, plain, 126.47/16.88 (~ (((((~) @ (a @ '#sk89' @ '#sk90'))) | 126.47/16.88 (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((((ntpp @ spain @ Y0) & (ntpp @ france @ Y0))) => 126.47/16.88 (((ntpp @ paris @ Y0) & (ntpp @ catalunya @ Y0))))))))))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl195])). 126.47/16.88 thf(zip_derived_cl198, plain, 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((((ntpp @ spain @ Y0) & (ntpp @ france @ Y0))) => 126.47/16.88 (((ntpp @ paris @ Y0) & (ntpp @ catalunya @ Y0))))))))), 126.47/16.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl196])). 126.47/16.88 thf(zip_derived_cl199, plain, 126.47/16.88 (~ (((((ntpp @ spain @ '#sk91') & (ntpp @ france @ '#sk91'))) => 126.47/16.88 (((ntpp @ paris @ '#sk91') & (ntpp @ catalunya @ '#sk91')))))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl198])). 126.47/16.88 thf(zip_derived_cl201, plain, 126.47/16.88 (~ (((ntpp @ paris @ '#sk91') & (ntpp @ catalunya @ '#sk91')))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl199])). 126.47/16.88 thf(zip_derived_cl204, plain, 126.47/16.88 ((~ (ntpp @ paris @ '#sk91') | ~ (ntpp @ catalunya @ '#sk91'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl201])). 126.47/16.88 thf(ntpp, axiom, ~ (ntpp @ X0 @ X1) => 126.47/16.88 ((((pp @ X0 @ X1) & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))))))) 126.47/16.88 != ($true))). 126.47/16.88 thf('2', plain, 126.47/16.88 (![X0:reg,X1:reg]: 126.47/16.88 ( ( ~( ntpp @ X0 @ X1 ) ) <=> 126.47/16.88 ( ~( ( pp @ X0 @ X1 ) & 126.47/16.88 ( ~( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [ntpp])). 126.47/16.88 thf(zip_derived_cl207, plain, 126.47/16.88 ((~ (((pp @ paris @ '#sk91') & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))))) 126.47/16.88 | ~ (ntpp @ catalunya @ '#sk91'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl204, '2'])). 126.47/16.88 thf(zip_derived_cl212, plain, 126.47/16.88 ((~ (((pp @ catalunya @ '#sk91') & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ '#sk91')))))))))) 126.47/16.88 | ~ (((pp @ paris @ '#sk91') & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl207, '2'])). 126.47/16.88 thf(zip_derived_cl217, plain, 126.47/16.88 ((~ (pp @ catalunya @ '#sk91') 126.47/16.88 | (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ '#sk91')))))) 126.47/16.88 | ~ (((pp @ paris @ '#sk91') & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))))))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl212])). 126.47/16.88 thf(pp, axiom, ~ (pp @ X0 @ X1) => 126.47/16.88 ((((p @ X0 @ X1) & (((~) @ (p @ X1 @ X0))))) != ($true))). 126.47/16.88 thf('3', plain, 126.47/16.88 (![X0:reg,X1:reg]: 126.47/16.88 ( ( ~( pp @ X0 @ X1 ) ) <=> 126.47/16.88 ( ~( ( p @ X0 @ X1 ) & ( ~( p @ X1 @ X0 ) ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [pp])). 126.47/16.88 thf(zip_derived_cl224, plain, 126.47/16.88 ((~ (((p @ catalunya @ '#sk91') & (((~) @ (p @ '#sk91' @ catalunya))))) 126.47/16.88 | ~ (((pp @ paris @ '#sk91') & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))))) 126.47/16.88 | (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ '#sk91')))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl217, '3'])). 126.47/16.88 thf(zip_derived_cl231, plain, 126.47/16.88 ((~ (p @ catalunya @ '#sk91') 126.47/16.88 | (p @ '#sk91' @ catalunya) 126.47/16.88 | (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ '#sk91')))))) 126.47/16.88 | ~ (((pp @ paris @ '#sk91') & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))))))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl224])). 126.47/16.88 thf(zip_derived_cl238, plain, 126.47/16.88 ((~ ('#form92') 126.47/16.88 | (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ '#sk91')))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl239, plain, 126.47/16.88 (( (((ec @ '#sk93' @ catalunya) & (ec @ '#sk93' @ '#sk91'))) 126.47/16.88 | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl238])). 126.47/16.88 thf(zip_derived_cl250, plain, 126.47/16.88 (( (ec @ '#sk93' @ catalunya) | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl239])). 126.47/16.88 thf(ec, axiom, (ec @ X0 @ X1) => 126.47/16.88 ((((((~) @ (o @ X0 @ X1))) & (c @ X0 @ X1))) = ($true))). 126.47/16.88 thf('4', plain, 126.47/16.88 (![X0:reg,X1:reg]: 126.47/16.88 ( ( ec @ X0 @ X1 ) <=> ( ( c @ X0 @ X1 ) & ( ~( o @ X0 @ X1 ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [ec])). 126.47/16.88 thf(zip_derived_cl256, plain, 126.47/16.88 (( (((((~) @ (o @ '#sk93' @ catalunya))) & (c @ '#sk93' @ catalunya))) 126.47/16.88 | ~ ('#form92'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl250, '4'])). 126.47/16.88 thf(zip_derived_cl262, plain, 126.47/16.88 ((~ (o @ '#sk93' @ catalunya) | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl256])). 126.47/16.88 thf(o, axiom, ~ (o @ X0 @ X1) => 126.47/16.88 ((((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ X1)))))) != ($true))). 126.47/16.88 thf('5', plain, 126.47/16.88 (![X0:reg,X1:reg]: 126.47/16.88 ( ( ~( o @ X0 @ X1 ) ) <=> 126.47/16.88 ( ~( ?[X6:reg]: ( ( p @ X6 @ X0 ) & ( p @ X6 @ X1 ) ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [o])). 126.47/16.88 thf(zip_derived_cl273, plain, 126.47/16.88 ((~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk93') & (p @ Y0 @ catalunya)))))) 126.47/16.88 | ~ ('#form92'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl262, '5'])). 126.47/16.88 thf(zip_derived_cl281, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (((p @ X2 @ '#sk93') & (p @ X2 @ catalunya))) | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl273])). 126.47/16.88 thf(zip_derived_cl289, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (p @ X2 @ '#sk93') | ~ (p @ X2 @ catalunya) | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl281])). 126.47/16.88 thf(p, axiom, ~ (p @ X0 @ X1) => 126.47/16.88 ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) != ($true))). 126.47/16.88 thf('6', plain, 126.47/16.88 (![X0:reg,X1:reg]: 126.47/16.88 ( ( ~( p @ X0 @ X1 ) ) <=> 126.47/16.88 ( ~( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [p])). 126.47/16.88 thf(zip_derived_cl300, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk93')))))) 126.47/16.88 | ~ ('#form92') 126.47/16.88 | ~ (p @ X0 @ catalunya))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl289, '6'])). 126.47/16.88 thf(zip_derived_cl309, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ catalunya)))))) 126.47/16.88 | ~ ('#form92') 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk93')))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl300, '6'])). 126.47/16.88 thf(zip_derived_cl319, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((c @ ('#sk3' @ X0) @ X0) => (c @ ('#sk3' @ X0) @ catalunya))) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk93')))))) 126.47/16.88 | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl309])). 126.47/16.88 thf(zip_derived_cl333, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( ('#form103' @ X0) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk93')))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl334, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((c @ ('#sk104' @ X0) @ X0) => (c @ ('#sk104' @ X0) @ '#sk93'))) 126.47/16.88 | ('#form103' @ X0))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl333])). 126.47/16.88 thf(zip_derived_cl346, plain, 126.47/16.88 (![X0 : reg]: (~ (c @ ('#sk104' @ X0) @ '#sk93') | ('#form103' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl334])). 126.47/16.88 thf(zip_derived_cl345, plain, 126.47/16.88 (![X0 : reg]: ( (c @ ('#sk104' @ X0) @ X0) | ('#form103' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl334])). 126.47/16.88 thf(zip_derived_cl200, plain, 126.47/16.88 ( (((ntpp @ spain @ '#sk91') & (ntpp @ france @ '#sk91')))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl199])). 126.47/16.88 thf(zip_derived_cl202, plain, ( (ntpp @ spain @ '#sk91')), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl200])). 126.47/16.88 thf(ntpp, axiom, (ntpp @ X0 @ X1) => 126.47/16.88 ((((((~) @ (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))))) & 126.47/16.88 (pp @ X0 @ X1))) 126.47/16.88 = ($true))). 126.47/16.88 thf('7', plain, 126.47/16.88 (![X0:reg,X1:reg]: 126.47/16.88 ( ( ntpp @ X0 @ X1 ) <=> 126.47/16.88 ( ( pp @ X0 @ X1 ) & 126.47/16.88 ( ~( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [ntpp])). 126.47/16.88 thf(zip_derived_cl205, plain, 126.47/16.88 ( (((((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ spain) & (ec @ Y0 @ '#sk91')))))))) & 126.47/16.88 (pp @ spain @ '#sk91')))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl202, '7'])). 126.47/16.88 thf(zip_derived_cl208, plain, 126.47/16.88 (~ (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ spain) & (ec @ Y0 @ '#sk91'))))))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl205])). 126.47/16.88 thf(zip_derived_cl213, plain, 126.47/16.88 (![X2 : reg]: ~ (((ec @ X2 @ spain) & (ec @ X2 @ '#sk91')))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl208])). 126.47/16.88 thf(zip_derived_cl218, plain, 126.47/16.88 (![X2 : reg]: (~ (ec @ X2 @ spain) | ~ (ec @ X2 @ '#sk91'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl213])). 126.47/16.88 thf(ec, axiom, ~ (ec @ X0 @ X1) => 126.47/16.88 ((((c @ X0 @ X1) & (((~) @ (o @ X0 @ X1))))) != ($true))). 126.47/16.88 thf('8', plain, 126.47/16.88 (![X0:reg,X1:reg]: 126.47/16.88 ( ( ~( ec @ X0 @ X1 ) ) <=> 126.47/16.88 ( ~( ( c @ X0 @ X1 ) & ( ~( o @ X0 @ X1 ) ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [ec])). 126.47/16.88 thf(zip_derived_cl225, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((c @ X0 @ spain) & (((~) @ (o @ X0 @ spain))))) 126.47/16.88 | ~ (ec @ X0 @ '#sk91'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl218, '8'])). 126.47/16.88 thf(zip_derived_cl232, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((c @ X0 @ '#sk91') & (((~) @ (o @ X0 @ '#sk91'))))) 126.47/16.88 | ~ (((c @ X0 @ spain) & (((~) @ (o @ X0 @ spain))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl225, '8'])). 126.47/16.88 thf(zip_derived_cl241, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (c @ X0 @ '#sk91') 126.47/16.88 | (o @ X0 @ '#sk91') 126.47/16.88 | ~ (((c @ X0 @ spain) & (((~) @ (o @ X0 @ spain))))))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl232])). 126.47/16.88 thf(o, axiom, (o @ X0 @ X1) => 126.47/16.88 ((((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ X1)))))) = ($true))). 126.47/16.88 thf('9', plain, 126.47/16.88 (![X0:reg,X1:reg]: 126.47/16.88 ( ( o @ X0 @ X1 ) <=> 126.47/16.88 ( ?[X6:reg]: ( ( p @ X6 @ X0 ) & ( p @ X6 @ X1 ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [o])). 126.47/16.88 thf(zip_derived_cl252, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ '#sk91')))))) 126.47/16.88 | ~ (((c @ X0 @ spain) & (((~) @ (o @ X0 @ spain))))) 126.47/16.88 | ~ (c @ X0 @ '#sk91'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl241, '9'])). 126.47/16.88 thf(zip_derived_cl258, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((p @ ('#sk95' @ X0) @ X0) & (p @ ('#sk95' @ X0) @ '#sk91'))) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (((c @ X0 @ spain) & (((~) @ (o @ X0 @ spain))))))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl252])). 126.47/16.88 thf(zip_derived_cl258, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((p @ ('#sk95' @ X0) @ X0) & (p @ ('#sk95' @ X0) @ '#sk91'))) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (((c @ X0 @ spain) & (((~) @ (o @ X0 @ spain))))))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl252])). 126.47/16.88 thf(zip_derived_cl266, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ ('#form96' @ X0) 126.47/16.88 | (((p @ ('#sk95' @ X0) @ X0) & (p @ ('#sk95' @ X0) @ '#sk91'))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl269, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( ('#form96' @ X0) 126.47/16.88 | ~ (((c @ X0 @ spain) & (((~) @ (o @ X0 @ spain))))) 126.47/16.88 | ~ (c @ X0 @ '#sk91'))), 126.47/16.88 inference('renaming', [status(thm)], 126.47/16.88 [zip_derived_cl258, zip_derived_cl266])). 126.47/16.88 thf(zip_derived_cl275, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (c @ X0 @ spain) 126.47/16.88 | (o @ X0 @ spain) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl269])). 126.47/16.88 thf(zip_derived_cl283, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ spain)))))) 126.47/16.88 | ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (c @ X0 @ spain))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl275, '9'])). 126.47/16.88 thf(zip_derived_cl291, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((p @ ('#sk98' @ X0) @ X0) & (p @ ('#sk98' @ X0) @ spain))) 126.47/16.88 | ~ (c @ X0 @ spain) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl283])). 126.47/16.88 thf(zip_derived_cl303, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (p @ ('#sk98' @ X0) @ spain) 126.47/16.88 | ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (c @ X0 @ spain))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl291])). 126.47/16.88 thf(p, axiom, (p @ X0 @ X1) => 126.47/16.88 ((((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ X1)))))) = ($true))). 126.47/16.88 thf('10', plain, 126.47/16.88 (![X0:reg,X1:reg]: 126.47/16.88 ( ( p @ X0 @ X1 ) <=> 126.47/16.88 ( ![X6:reg]: ( ( c @ X6 @ X0 ) => ( c @ X6 @ X1 ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [p])). 126.47/16.88 thf(zip_derived_cl312, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((c @ Y0 @ ('#sk98' @ X0)) => (c @ Y0 @ spain)))))) 126.47/16.88 | ~ (c @ X0 @ spain) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl303, '10'])). 126.47/16.88 thf(zip_derived_cl312, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((c @ Y0 @ ('#sk98' @ X0)) => (c @ Y0 @ spain)))))) 126.47/16.88 | ~ (c @ X0 @ spain) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl303, '10'])). 126.47/16.88 thf(zip_derived_cl322, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ ('#form12' @ X2) 126.47/16.88 | (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(ax2, axiom, 126.47/16.88 (mvalid @ ( mbox @ fool @ ( ^[X:$i]: ( ec @ spain @ france ) ) ))). 126.47/16.88 thf(zip_derived_cl4, plain, 126.47/16.88 ( (mvalid @ (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france))))), 126.47/16.88 inference('cnf', [status(esa)], [ax2])). 126.47/16.88 thf(mvalid, axiom, (mvalid @ X0) => 126.47/16.88 ((((!!) @ (^[Y0 : $i]: (X0 @ Y0)))) = ($true))). 126.47/16.88 thf('11', plain, 126.47/16.88 (![X0:( $i > $o )]: ( ( mvalid @ X0 ) <=> ( ![X5:$i]: ( X0 @ X5 ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [mvalid])). 126.47/16.88 thf(zip_derived_cl111, plain, 126.47/16.88 ( (((!!) @ (^[Y0 : $i]: 126.47/16.88 (mbox @ fool @ (^[Y1 : $i]: (ec @ spain @ france)) @ Y0))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl4, '11'])). 126.47/16.88 thf(zip_derived_cl112, plain, 126.47/16.88 (![X2 : $i]: (mbox @ fool @ (^[Y0 : $i]: (ec @ spain @ france)) @ X2)), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl111])). 126.47/16.88 thf(mbox, axiom, (mbox @ X0 @ X1 @ X2) => 126.47/16.88 ((((!!) @ (^[Y0 : $i]: (((((~) @ (X0 @ X2 @ Y0))) | (X1 @ Y0)))))) = 126.47/16.88 ($true))). 126.47/16.88 thf('12', plain, 126.47/16.88 (![X0:( $i > $i > $o ),X1:( $i > $o ),X2:$i]: 126.47/16.88 ( ( mbox @ X0 @ X1 @ X2 ) <=> 126.47/16.88 ( ![X7:$i]: ( ( ~( X0 @ X2 @ X7 ) ) | ( X1 @ X7 ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [mbox])). 126.47/16.88 thf(zip_derived_cl113, plain, 126.47/16.88 (![X0 : $i]: 126.47/16.88 (((!!) @ (^[Y0 : $i]: 126.47/16.88 (((((~) @ (fool @ X0 @ Y0))) | 126.47/16.88 ((^[Y1 : $i]: (ec @ spain @ france)) @ Y0))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl112, '12'])). 126.47/16.88 thf(zip_derived_cl114, plain, 126.47/16.88 (![X0 : $i]: 126.47/16.88 (((!!) @ (^[Y0 : $i]: 126.47/16.88 (((((~) @ (fool @ X0 @ Y0))) | (ec @ spain @ france))))))), 126.47/16.88 inference('ho_norm', [status(thm)], [zip_derived_cl113])). 126.47/16.88 thf(zip_derived_cl115, plain, 126.47/16.88 (![X0 : $i, X2 : $i]: 126.47/16.88 (((((~) @ (fool @ X0 @ X2))) | (ec @ spain @ france)))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl114])). 126.47/16.88 thf(zip_derived_cl116, plain, 126.47/16.88 (![X0 : $i, X2 : $i]: (~ (fool @ X0 @ X2) | (ec @ spain @ france))), 126.47/16.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl115])). 126.47/16.88 thf(zip_derived_cl117, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 ( (((((~) @ (o @ spain @ france))) & (c @ spain @ france))) 126.47/16.88 | ~ (fool @ X1 @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl116, '4'])). 126.47/16.88 thf(zip_derived_cl118, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: (~ (o @ spain @ france) | ~ (fool @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl117])). 126.47/16.88 thf(zip_derived_cl120, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 (~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ spain) & (p @ Y0 @ france)))))) 126.47/16.88 | ~ (fool @ X1 @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl118, '5'])). 126.47/16.88 thf(zip_derived_cl121, plain, 126.47/16.88 (![X0 : $i, X1 : $i, X3 : reg]: 126.47/16.88 (~ (((p @ X3 @ spain) & (p @ X3 @ france))) | ~ (fool @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl120])). 126.47/16.88 thf(zip_derived_cl122, plain, 126.47/16.88 (![X0 : $i, X1 : $i, X3 : reg]: 126.47/16.88 (~ (p @ X3 @ spain) | ~ (p @ X3 @ france) | ~ (fool @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl121])). 126.47/16.88 thf(zip_derived_cl123, plain, 126.47/16.88 (![X0 : $i, X1 : $i, X2 : reg]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))) 126.47/16.88 | ~ (fool @ X1 @ X0) 126.47/16.88 | ~ (p @ X2 @ france))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl122, '6'])). 126.47/16.88 thf(zip_derived_cl124, plain, 126.47/16.88 (![X0 : $i, X1 : $i, X2 : reg]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ france)))))) 126.47/16.88 | ~ (fool @ X1 @ X0) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl123, '6'])). 126.47/16.88 thf(zip_derived_cl125, plain, 126.47/16.88 (![X0 : $i, X1 : $i, X2 : reg]: 126.47/16.88 (~ (((c @ ('#sk11' @ X2) @ X2) => (c @ ('#sk11' @ X2) @ france))) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))) 126.47/16.88 | ~ (fool @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl124])). 126.47/16.88 thf(zip_derived_cl126, plain, 126.47/16.88 (![X0 : $i, X1 : $i, X2 : reg]: 126.47/16.88 ( (c @ ('#sk11' @ X2) @ X2) 126.47/16.88 | ~ (fool @ X1 @ X0) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl125])). 126.47/16.88 thf(zip_derived_cl128, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 ( ('#form12' @ X2) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl324, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( ('#form12' @ ('#sk98' @ X0)) 126.47/16.88 | ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (c @ X0 @ spain))), 126.47/16.88 inference('renaming', [status(thm)], 126.47/16.88 [zip_derived_cl312, zip_derived_cl322, zip_derived_cl128])). 126.47/16.88 thf(zip_derived_cl209, plain, ( (pp @ spain @ '#sk91')), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl205])). 126.47/16.88 thf(pp, axiom, (pp @ X0 @ X1) => 126.47/16.88 ((((((~) @ (p @ X1 @ X0))) & (p @ X0 @ X1))) = ($true))). 126.47/16.88 thf('13', plain, 126.47/16.88 (![X0:reg,X1:reg]: 126.47/16.88 ( ( pp @ X0 @ X1 ) <=> ( ( p @ X0 @ X1 ) & ( ~( p @ X1 @ X0 ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [pp])). 126.47/16.88 thf(zip_derived_cl214, plain, 126.47/16.88 ( (((((~) @ (p @ '#sk91' @ spain))) & (p @ spain @ '#sk91')))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl209, '13'])). 126.47/16.88 thf(zip_derived_cl220, plain, ( (p @ spain @ '#sk91')), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl214])). 126.47/16.88 thf(zip_derived_cl227, plain, 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ spain) => (c @ Y0 @ '#sk91'))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl220, '10'])). 126.47/16.88 thf(zip_derived_cl234, plain, 126.47/16.88 (![X2 : reg]: (((c @ X2 @ spain) => (c @ X2 @ '#sk91')))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl227])). 126.47/16.88 thf(zip_derived_cl242, plain, 126.47/16.88 (![X2 : reg]: (~ (c @ X2 @ spain) | (c @ X2 @ '#sk91'))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl234])). 126.47/16.88 thf(zip_derived_cl371, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (c @ X0 @ spain) 126.47/16.88 | ('#form96' @ X0) 126.47/16.88 | ('#form12' @ ('#sk98' @ X0)))), 126.47/16.88 inference('clc', [status(thm)], [zip_derived_cl324, zip_derived_cl242])). 126.47/16.88 thf(zip_derived_cl302, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (p @ ('#sk98' @ X0) @ X0) 126.47/16.88 | ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (c @ X0 @ spain))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl291])). 126.47/16.88 thf(zip_derived_cl311, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((c @ Y0 @ ('#sk98' @ X0)) => (c @ Y0 @ X0)))))) 126.47/16.88 | ~ (c @ X0 @ spain) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl302, '10'])). 126.47/16.88 thf(zip_derived_cl321, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 ( (((c @ X2 @ ('#sk98' @ X0)) => (c @ X2 @ X0))) 126.47/16.88 | ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (c @ X0 @ spain))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl311])). 126.47/16.88 thf(zip_derived_cl337, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 (~ (c @ X2 @ ('#sk98' @ X0)) 126.47/16.88 | (c @ X2 @ X0) 126.47/16.88 | ~ (c @ X0 @ spain) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl321])). 126.47/16.88 thf(zip_derived_cl242, plain, 126.47/16.88 (![X2 : reg]: (~ (c @ X2 @ spain) | (c @ X2 @ '#sk91'))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl234])). 126.47/16.88 thf(zip_derived_cl374, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 ( ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ spain) 126.47/16.88 | (c @ X2 @ X0) 126.47/16.88 | ~ (c @ X2 @ ('#sk98' @ X0)))), 126.47/16.88 inference('clc', [status(thm)], [zip_derived_cl337, zip_derived_cl242])). 126.47/16.88 thf(zip_derived_cl251, plain, (( (ec @ '#sk93' @ '#sk91') | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl239])). 126.47/16.88 thf(zip_derived_cl257, plain, 126.47/16.88 (( (((((~) @ (o @ '#sk93' @ '#sk91'))) & (c @ '#sk93' @ '#sk91'))) 126.47/16.88 | ~ ('#form92'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl251, '4'])). 126.47/16.88 thf(zip_derived_cl264, plain, ((~ (o @ '#sk93' @ '#sk91') | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl257])). 126.47/16.88 thf(zip_derived_cl274, plain, 126.47/16.88 ((~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk93') & (p @ Y0 @ '#sk91')))))) 126.47/16.88 | ~ ('#form92'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl264, '5'])). 126.47/16.88 thf(zip_derived_cl282, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (((p @ X2 @ '#sk93') & (p @ X2 @ '#sk91'))) | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl274])). 126.47/16.88 thf(zip_derived_cl290, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (p @ X2 @ '#sk93') | ~ (p @ X2 @ '#sk91') | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl282])). 126.47/16.88 thf(zip_derived_cl301, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk93')))))) 126.47/16.88 | ~ ('#form92') 126.47/16.88 | ~ (p @ X0 @ '#sk91'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl290, '6'])). 126.47/16.88 thf(zip_derived_cl310, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))) 126.47/16.88 | ~ ('#form92') 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk93')))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl301, '6'])). 126.47/16.88 thf(zip_derived_cl320, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((c @ ('#sk102' @ X0) @ X0) => (c @ ('#sk102' @ X0) @ '#sk91'))) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk93')))))) 126.47/16.88 | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl310])). 126.47/16.88 thf(zip_derived_cl333, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( ('#form103' @ X0) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk93')))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl336, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ ('#form103' @ X0) 126.47/16.88 | ~ ('#form92') 126.47/16.88 | ~ (((c @ ('#sk102' @ X0) @ X0) => (c @ ('#sk102' @ X0) @ '#sk91'))))), 126.47/16.88 inference('renaming', [status(thm)], 126.47/16.88 [zip_derived_cl320, zip_derived_cl333])). 126.47/16.88 thf(zip_derived_cl348, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (c @ ('#sk102' @ X0) @ '#sk91') 126.47/16.88 | ~ ('#form92') 126.47/16.88 | ~ ('#form103' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl336])). 126.47/16.88 thf(zip_derived_cl263, plain, (( (c @ '#sk93' @ catalunya) | ~ ('#form92'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl256])). 126.47/16.88 thf(zip_derived_cl347, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (c @ ('#sk102' @ X0) @ X0) | ~ ('#form92') | ~ ('#form103' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl336])). 126.47/16.88 thf(zip_derived_cl322, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ ('#form12' @ X2) 126.47/16.88 | (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X2) => (c @ Y0 @ spain)))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl323, plain, 126.47/16.88 (![X2 : reg, X4 : reg]: 126.47/16.88 ( (((c @ X4 @ X2) => (c @ X4 @ spain))) | ~ ('#form12' @ X2))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl322])). 126.47/16.88 thf(zip_derived_cl338, plain, 126.47/16.88 (![X2 : reg, X4 : reg]: 126.47/16.88 (~ (c @ X4 @ X2) | (c @ X4 @ spain) | ~ ('#form12' @ X2))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl323])). 126.47/16.88 thf(zip_derived_cl266, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ ('#form96' @ X0) 126.47/16.88 | (((p @ ('#sk95' @ X0) @ X0) & (p @ ('#sk95' @ X0) @ '#sk91'))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl268, plain, 126.47/16.88 (![X0 : reg]: ( (p @ ('#sk95' @ X0) @ '#sk91') | ~ ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl266])). 126.47/16.88 thf(zip_derived_cl277, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((c @ Y0 @ ('#sk95' @ X0)) => (c @ Y0 @ '#sk91')))))) 126.47/16.88 | ~ ('#form96' @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl268, '10'])). 126.47/16.88 thf(zip_derived_cl285, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 ( (((c @ X2 @ ('#sk95' @ X0)) => (c @ X2 @ '#sk91'))) 126.47/16.88 | ~ ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl277])). 126.47/16.88 thf(zip_derived_cl293, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 (~ (c @ X2 @ ('#sk95' @ X0)) 126.47/16.88 | (c @ X2 @ '#sk91') 126.47/16.88 | ~ ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl285])). 126.47/16.88 thf(zip_derived_cl231, plain, 126.47/16.88 ((~ (p @ catalunya @ '#sk91') 126.47/16.88 | (p @ '#sk91' @ catalunya) 126.47/16.88 | (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ '#sk91')))))) 126.47/16.88 | ~ (((pp @ paris @ '#sk91') & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))))))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl224])). 126.47/16.88 thf(zip_derived_cl238, plain, 126.47/16.88 ((~ ('#form92') 126.47/16.88 | (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ '#sk91')))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl240, plain, 126.47/16.88 (( ('#form92') 126.47/16.88 | ~ (((pp @ paris @ '#sk91') & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))))) 126.47/16.88 | (p @ '#sk91' @ catalunya) 126.47/16.88 | ~ (p @ catalunya @ '#sk91'))), 126.47/16.88 inference('renaming', [status(thm)], 126.47/16.88 [zip_derived_cl231, zip_derived_cl238])). 126.47/16.88 thf(zip_derived_cl247, plain, 126.47/16.88 (( ('#form94') 126.47/16.88 | ~ (((pp @ paris @ '#sk91') & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl248, plain, 126.47/16.88 ((~ (pp @ paris @ '#sk91') 126.47/16.88 | (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))) 126.47/16.88 | ('#form94'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl247])). 126.47/16.88 thf(zip_derived_cl255, plain, 126.47/16.88 ((~ (((p @ paris @ '#sk91') & (((~) @ (p @ '#sk91' @ paris))))) 126.47/16.88 | ('#form94') 126.47/16.88 | (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl248, '3'])). 126.47/16.88 thf(zip_derived_cl261, plain, 126.47/16.88 ((~ (p @ paris @ '#sk91') 126.47/16.88 | (p @ '#sk91' @ paris) 126.47/16.88 | (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))) 126.47/16.88 | ('#form94'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl255])). 126.47/16.88 thf(zip_derived_cl272, plain, 126.47/16.88 ((~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ '#sk91')))))) 126.47/16.88 | ('#form94') 126.47/16.88 | (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))) 126.47/16.88 | (p @ '#sk91' @ paris))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl261, '6'])). 126.47/16.88 thf(zip_derived_cl280, plain, 126.47/16.88 (( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ '#sk91') => (c @ Y0 @ paris)))))) 126.47/16.88 | (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))) 126.47/16.88 | ('#form94') 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ '#sk91')))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl272, '10'])). 126.47/16.88 thf(zip_derived_cl288, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 ( (((c @ X2 @ '#sk91') => (c @ X2 @ paris))) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ '#sk91')))))) 126.47/16.88 | ('#form94') 126.47/16.88 | (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl280])). 126.47/16.88 thf(zip_derived_cl297, plain, 126.47/16.88 ((~ ('#form99') 126.47/16.88 | (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl298, plain, 126.47/16.88 (( (((ec @ '#sk100' @ paris) & (ec @ '#sk100' @ '#sk91'))) 126.47/16.88 | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl297])). 126.47/16.88 thf(zip_derived_cl307, plain, (( (ec @ '#sk100' @ paris) | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl298])). 126.47/16.88 thf(zip_derived_cl317, plain, 126.47/16.88 (( (((((~) @ (o @ '#sk100' @ paris))) & (c @ '#sk100' @ paris))) 126.47/16.88 | ~ ('#form99'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl307, '4'])). 126.47/16.88 thf(zip_derived_cl329, plain, ((~ (o @ '#sk100' @ paris) | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl317])). 126.47/16.88 thf(zip_derived_cl341, plain, 126.47/16.88 ((~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk100') & (p @ Y0 @ paris)))))) 126.47/16.88 | ~ ('#form99'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl329, '5'])). 126.47/16.88 thf(zip_derived_cl349, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (((p @ X2 @ '#sk100') & (p @ X2 @ paris))) | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl341])). 126.47/16.88 thf(zip_derived_cl351, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (p @ X2 @ '#sk100') | ~ (p @ X2 @ paris) | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl349])). 126.47/16.88 thf(zip_derived_cl353, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk100')))))) 126.47/16.88 | ~ ('#form99') 126.47/16.88 | ~ (p @ X0 @ paris))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl351, '6'])). 126.47/16.88 thf(zip_derived_cl355, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ paris)))))) 126.47/16.88 | ~ ('#form99') 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk100')))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl353, '6'])). 126.47/16.88 thf(zip_derived_cl357, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((c @ ('#sk105' @ X0) @ X0) => (c @ ('#sk105' @ X0) @ paris))) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk100')))))) 126.47/16.88 | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl355])). 126.47/16.88 thf(zip_derived_cl359, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( ('#form106' @ X0) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk100')))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl360, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((c @ ('#sk107' @ X0) @ X0) => (c @ ('#sk107' @ X0) @ '#sk100'))) 126.47/16.88 | ('#form106' @ X0))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl359])). 126.47/16.88 thf(zip_derived_cl369, plain, 126.47/16.88 (![X0 : reg]: (~ (c @ ('#sk107' @ X0) @ '#sk100') | ('#form106' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl360])). 126.47/16.88 thf(zip_derived_cl267, plain, 126.47/16.88 (![X0 : reg]: ( (p @ ('#sk95' @ X0) @ X0) | ~ ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl266])). 126.47/16.88 thf(zip_derived_cl276, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((c @ Y0 @ ('#sk95' @ X0)) => (c @ Y0 @ X0)))))) 126.47/16.88 | ~ ('#form96' @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl267, '10'])). 126.47/16.88 thf(zip_derived_cl284, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 ( (((c @ X2 @ ('#sk95' @ X0)) => (c @ X2 @ X0))) | ~ ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl276])). 126.47/16.88 thf(zip_derived_cl292, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 (~ (c @ X2 @ ('#sk95' @ X0)) | (c @ X2 @ X0) | ~ ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl284])). 126.47/16.88 thf(zip_derived_cl368, plain, 126.47/16.88 (![X0 : reg]: ( (c @ ('#sk107' @ X0) @ X0) | ('#form106' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl360])). 126.47/16.88 thf(c_symmetric, axiom, (![X:reg,Y:reg]: ( ( c @ X @ Y ) => ( c @ Y @ X ) ))). 126.47/16.88 thf(zip_derived_cl0, plain, 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((!!) @ (^[Y1 : reg]: (((c @ Y0 @ Y1) => (c @ Y1 @ Y0)))))))))), 126.47/16.88 inference('cnf', [status(esa)], [c_symmetric])). 126.47/16.88 thf(zip_derived_cl165, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (((!!) @ (^[Y0 : reg]: (((c @ X2 @ Y0) => (c @ Y0 @ X2))))))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])). 126.47/16.88 thf(zip_derived_cl166, plain, 126.47/16.88 (![X2 : reg, X4 : reg]: (((c @ X2 @ X4) => (c @ X4 @ X2)))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl165])). 126.47/16.88 thf(zip_derived_cl167, plain, 126.47/16.88 (![X2 : reg, X4 : reg]: (~ (c @ X2 @ X4) | (c @ X4 @ X2))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl166])). 126.47/16.88 thf(zip_derived_cl308, plain, (( (ec @ '#sk100' @ '#sk91') | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl298])). 126.47/16.88 thf(zip_derived_cl318, plain, 126.47/16.88 (( (((((~) @ (o @ '#sk100' @ '#sk91'))) & (c @ '#sk100' @ '#sk91'))) 126.47/16.88 | ~ ('#form99'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl308, '4'])). 126.47/16.88 thf(zip_derived_cl331, plain, ((~ (o @ '#sk100' @ '#sk91') | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl318])). 126.47/16.88 thf(zip_derived_cl342, plain, 126.47/16.88 ((~ (((??) @ (^[Y0 : reg]: (((p @ Y0 @ '#sk100') & (p @ Y0 @ '#sk91')))))) 126.47/16.88 | ~ ('#form99'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl331, '5'])). 126.47/16.88 thf(zip_derived_cl350, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (((p @ X2 @ '#sk100') & (p @ X2 @ '#sk91'))) | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl342])). 126.47/16.88 thf(zip_derived_cl352, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (p @ X2 @ '#sk100') | ~ (p @ X2 @ '#sk91') | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl350])). 126.47/16.88 thf(zip_derived_cl354, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk100')))))) 126.47/16.88 | ~ ('#form99') 126.47/16.88 | ~ (p @ X0 @ '#sk91'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl352, '6'])). 126.47/16.88 thf(zip_derived_cl356, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk91')))))) 126.47/16.88 | ~ ('#form99') 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk100')))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl354, '6'])). 126.47/16.88 thf(zip_derived_cl358, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((c @ ('#sk102' @ X0) @ X0) => (c @ ('#sk102' @ X0) @ '#sk91'))) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk100')))))) 126.47/16.88 | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl356])). 126.47/16.88 thf(zip_derived_cl358, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((c @ ('#sk102' @ X0) @ X0) => (c @ ('#sk102' @ X0) @ '#sk91'))) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk100')))))) 126.47/16.88 | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl356])). 126.47/16.88 thf(zip_derived_cl362, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( ('#form108' @ X0) 126.47/16.88 | ~ (((c @ ('#sk102' @ X0) @ X0) => (c @ ('#sk102' @ X0) @ '#sk91'))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl365, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ ('#form108' @ X0) 126.47/16.88 | ~ ('#form99') 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk100')))))))), 126.47/16.88 inference('renaming', [status(thm)], 126.47/16.88 [zip_derived_cl358, zip_derived_cl362])). 126.47/16.88 thf(zip_derived_cl359, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( ('#form106' @ X0) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ X0) => (c @ Y0 @ '#sk100')))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl370, plain, 126.47/16.88 (![X0 : reg]: (~ ('#form106' @ X0) | ~ ('#form99') | ~ ('#form108' @ X0))), 126.47/16.88 inference('renaming', [status(thm)], 126.47/16.88 [zip_derived_cl365, zip_derived_cl359])). 126.47/16.88 thf(zip_derived_cl362, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( ('#form108' @ X0) 126.47/16.88 | ~ (((c @ ('#sk102' @ X0) @ X0) => (c @ ('#sk102' @ X0) @ '#sk91'))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl364, plain, 126.47/16.88 (![X0 : reg]: (~ (c @ ('#sk102' @ X0) @ '#sk91') | ('#form108' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl362])). 126.47/16.88 thf(zip_derived_cl363, plain, 126.47/16.88 (![X0 : reg]: ( (c @ ('#sk102' @ X0) @ X0) | ('#form108' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl362])). 126.47/16.88 thf(zip_derived_cl203, plain, ( (ntpp @ france @ '#sk91')), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl200])). 126.47/16.88 thf(zip_derived_cl206, plain, 126.47/16.88 ( (((((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ france) & (ec @ Y0 @ '#sk91')))))))) & 126.47/16.88 (pp @ france @ '#sk91')))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl203, '7'])). 126.47/16.88 thf(zip_derived_cl210, plain, 126.47/16.88 (~ (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ france) & (ec @ Y0 @ '#sk91'))))))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl206])). 126.47/16.88 thf(zip_derived_cl215, plain, 126.47/16.88 (![X2 : reg]: ~ (((ec @ X2 @ france) & (ec @ X2 @ '#sk91')))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl210])). 126.47/16.88 thf(zip_derived_cl221, plain, 126.47/16.88 (![X2 : reg]: (~ (ec @ X2 @ france) | ~ (ec @ X2 @ '#sk91'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl215])). 126.47/16.88 thf(zip_derived_cl228, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((c @ X0 @ france) & (((~) @ (o @ X0 @ france))))) 126.47/16.88 | ~ (ec @ X0 @ '#sk91'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl221, '8'])). 126.47/16.88 thf(zip_derived_cl235, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (((c @ X0 @ '#sk91') & (((~) @ (o @ X0 @ '#sk91'))))) 126.47/16.88 | ~ (((c @ X0 @ france) & (((~) @ (o @ X0 @ france))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl228, '8'])). 126.47/16.88 thf(zip_derived_cl243, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (c @ X0 @ '#sk91') 126.47/16.88 | (o @ X0 @ '#sk91') 126.47/16.88 | ~ (((c @ X0 @ france) & (((~) @ (o @ X0 @ france))))))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl235])). 126.47/16.88 thf(zip_derived_cl253, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ '#sk91')))))) 126.47/16.88 | ~ (((c @ X0 @ france) & (((~) @ (o @ X0 @ france))))) 126.47/16.88 | ~ (c @ X0 @ '#sk91'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl243, '9'])). 126.47/16.88 thf(zip_derived_cl259, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((p @ ('#sk95' @ X0) @ X0) & (p @ ('#sk95' @ X0) @ '#sk91'))) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (((c @ X0 @ france) & (((~) @ (o @ X0 @ france))))))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl253])). 126.47/16.88 thf(zip_derived_cl266, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ ('#form96' @ X0) 126.47/16.88 | (((p @ ('#sk95' @ X0) @ X0) & (p @ ('#sk95' @ X0) @ '#sk91'))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl270, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( ('#form96' @ X0) 126.47/16.88 | ~ (((c @ X0 @ france) & (((~) @ (o @ X0 @ france))))) 126.47/16.88 | ~ (c @ X0 @ '#sk91'))), 126.47/16.88 inference('renaming', [status(thm)], 126.47/16.88 [zip_derived_cl259, zip_derived_cl266])). 126.47/16.88 thf(zip_derived_cl278, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 (~ (c @ X0 @ france) 126.47/16.88 | (o @ X0 @ france) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl270])). 126.47/16.88 thf(zip_derived_cl286, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((??) @ (^[Y0 : reg]: (((p @ Y0 @ X0) & (p @ Y0 @ france)))))) 126.47/16.88 | ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (c @ X0 @ france))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl278, '9'])). 126.47/16.88 thf(zip_derived_cl294, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((p @ ('#sk8' @ X0) @ X0) & (p @ ('#sk8' @ X0) @ france))) 126.47/16.88 | ~ (c @ X0 @ france) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl286])). 126.47/16.88 thf(zip_derived_cl304, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (p @ ('#sk8' @ X0) @ X0) 126.47/16.88 | ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (c @ X0 @ france))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl294])). 126.47/16.88 thf(zip_derived_cl313, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ ('#sk8' @ X0)) => (c @ Y0 @ X0)))))) 126.47/16.88 | ~ (c @ X0 @ france) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl304, '10'])). 126.47/16.88 thf(zip_derived_cl325, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 ( (((c @ X2 @ ('#sk8' @ X0)) => (c @ X2 @ X0))) 126.47/16.88 | ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (c @ X0 @ france))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl313])). 126.47/16.88 thf(zip_derived_cl339, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 (~ (c @ X2 @ ('#sk8' @ X0)) 126.47/16.88 | (c @ X2 @ X0) 126.47/16.88 | ~ (c @ X0 @ france) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl325])). 126.47/16.88 thf(zip_derived_cl211, plain, ( (pp @ france @ '#sk91')), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl206])). 126.47/16.88 thf(zip_derived_cl216, plain, 126.47/16.88 ( (((((~) @ (p @ '#sk91' @ france))) & (p @ france @ '#sk91')))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl211, '13'])). 126.47/16.88 thf(zip_derived_cl223, plain, ( (p @ france @ '#sk91')), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl216])). 126.47/16.88 thf(zip_derived_cl230, plain, 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ france) => (c @ Y0 @ '#sk91'))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl223, '10'])). 126.47/16.88 thf(zip_derived_cl237, plain, 126.47/16.88 (![X2 : reg]: (((c @ X2 @ france) => (c @ X2 @ '#sk91')))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl230])). 126.47/16.88 thf(zip_derived_cl246, plain, 126.47/16.88 (![X2 : reg]: (~ (c @ X2 @ france) | (c @ X2 @ '#sk91'))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl237])). 126.47/16.88 thf(zip_derived_cl375, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 ( ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ france) 126.47/16.88 | (c @ X2 @ X0) 126.47/16.88 | ~ (c @ X2 @ ('#sk8' @ X0)))), 126.47/16.88 inference('clc', [status(thm)], [zip_derived_cl339, zip_derived_cl246])). 126.47/16.88 thf(c_reflexive, axiom, (![X:reg]: ( c @ X @ X ))). 126.47/16.88 thf(zip_derived_cl1, plain, ( (((!!) @ (^[Y0 : reg]: (c @ Y0 @ Y0))))), 126.47/16.88 inference('cnf', [status(esa)], [c_reflexive])). 126.47/16.88 thf(zip_derived_cl9, plain, (![X2 : reg]: (c @ X2 @ X2)), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])). 126.47/16.88 thf(zip_derived_cl330, plain, (( (c @ '#sk100' @ paris) | ~ ('#form99'))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl317])). 126.47/16.88 thf(zip_derived_cl305, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (p @ ('#sk8' @ X0) @ france) 126.47/16.88 | ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (c @ X0 @ france))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl294])). 126.47/16.88 thf(zip_derived_cl314, plain, 126.47/16.88 (![X0 : reg]: 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((c @ Y0 @ ('#sk8' @ X0)) => (c @ Y0 @ france)))))) 126.47/16.88 | ~ (c @ X0 @ france) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl305, '10'])). 126.47/16.88 thf(zip_derived_cl326, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 ( (((c @ X2 @ ('#sk8' @ X0)) => (c @ X2 @ france))) 126.47/16.88 | ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ~ (c @ X0 @ france))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl314])). 126.47/16.88 thf(zip_derived_cl340, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 (~ (c @ X2 @ ('#sk8' @ X0)) 126.47/16.88 | (c @ X2 @ france) 126.47/16.88 | ~ (c @ X0 @ france) 126.47/16.88 | ~ (c @ X0 @ '#sk91') 126.47/16.88 | ('#form96' @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl326])). 126.47/16.88 thf(zip_derived_cl246, plain, 126.47/16.88 (![X2 : reg]: (~ (c @ X2 @ france) | (c @ X2 @ '#sk91'))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl237])). 126.47/16.88 thf(zip_derived_cl373, plain, 126.47/16.88 (![X0 : reg, X2 : reg]: 126.47/16.88 ( ('#form96' @ X0) 126.47/16.88 | ~ (c @ X0 @ france) 126.47/16.88 | (c @ X2 @ france) 126.47/16.88 | ~ (c @ X2 @ ('#sk8' @ X0)))), 126.47/16.88 inference('clc', [status(thm)], [zip_derived_cl340, zip_derived_cl246])). 126.47/16.88 thf(zip_derived_cl240, plain, 126.47/16.88 (( ('#form92') 126.47/16.88 | ~ (((pp @ paris @ '#sk91') & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))))) 126.47/16.88 | (p @ '#sk91' @ catalunya) 126.47/16.88 | ~ (p @ catalunya @ '#sk91'))), 126.47/16.88 inference('renaming', [status(thm)], 126.47/16.88 [zip_derived_cl231, zip_derived_cl238])). 126.47/16.88 thf(zip_derived_cl247, plain, 126.47/16.88 (( ('#form94') 126.47/16.88 | ~ (((pp @ paris @ '#sk91') & 126.47/16.88 (((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl249, plain, 126.47/16.88 ((~ ('#form94') 126.47/16.88 | ~ (p @ catalunya @ '#sk91') 126.47/16.88 | (p @ '#sk91' @ catalunya) 126.47/16.88 | ('#form92'))), 126.47/16.88 inference('renaming', [status(thm)], 126.47/16.88 [zip_derived_cl240, zip_derived_cl247])). 126.47/16.88 thf(zip_derived_cl254, plain, 126.47/16.88 ((~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) => (c @ Y0 @ '#sk91')))))) 126.47/16.88 | ('#form92') 126.47/16.88 | (p @ '#sk91' @ catalunya) 126.47/16.88 | ~ ('#form94'))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl249, '6'])). 126.47/16.88 thf(zip_derived_cl260, plain, 126.47/16.88 (( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ '#sk91') => (c @ Y0 @ catalunya)))))) 126.47/16.88 | ~ ('#form94') 126.47/16.88 | ('#form92') 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((c @ Y0 @ catalunya) => (c @ Y0 @ '#sk91')))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl254, '10'])). 126.47/16.88 thf(zip_derived_cl271, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 ( (((c @ X2 @ '#sk91') => (c @ X2 @ catalunya))) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((c @ Y0 @ catalunya) => (c @ Y0 @ '#sk91')))))) 126.47/16.88 | ('#form92') 126.47/16.88 | ~ ('#form94'))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl260])). 126.47/16.88 thf(zip_derived_cl279, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (c @ X2 @ '#sk91') 126.47/16.88 | (c @ X2 @ catalunya) 126.47/16.88 | ~ ('#form94') 126.47/16.88 | ('#form92') 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: 126.47/16.88 (((c @ Y0 @ catalunya) => (c @ Y0 @ '#sk91')))))))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl271])). 126.47/16.88 thf(zip_derived_cl287, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (((c @ '#sk97' @ catalunya) => (c @ '#sk97' @ '#sk91'))) 126.47/16.88 | ('#form92') 126.47/16.88 | ~ ('#form94') 126.47/16.88 | (c @ X2 @ catalunya) 126.47/16.88 | ~ (c @ X2 @ '#sk91'))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl279])). 126.47/16.88 thf(zip_derived_cl296, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (c @ '#sk97' @ '#sk91') 126.47/16.88 | ~ (c @ X2 @ '#sk91') 126.47/16.88 | (c @ X2 @ catalunya) 126.47/16.88 | ~ ('#form94') 126.47/16.88 | ('#form92'))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl287])). 126.47/16.88 thf(zip_derived_cl197, plain, ( (a @ '#sk89' @ '#sk90')), 126.47/16.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl196])). 126.47/16.88 thf(ax1, axiom, 126.47/16.88 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( tpp @ catalunya @ spain ) ) ))). 126.47/16.88 thf(zip_derived_cl3, plain, 126.47/16.88 ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain))))), 126.47/16.88 inference('cnf', [status(esa)], [ax1])). 126.47/16.88 thf(zip_derived_cl10, plain, 126.47/16.88 ( (((!!) @ (^[Y0 : $i]: 126.47/16.88 (mbox @ a @ (^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl3, '11'])). 126.47/16.88 thf(zip_derived_cl11, plain, 126.47/16.88 (![X2 : $i]: (mbox @ a @ (^[Y0 : $i]: (tpp @ catalunya @ spain)) @ X2)), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])). 126.47/16.88 thf(zip_derived_cl12, plain, 126.47/16.88 (![X0 : $i]: 126.47/16.88 (((!!) @ (^[Y0 : $i]: 126.47/16.88 (((((~) @ (a @ X0 @ Y0))) | 126.47/16.88 ((^[Y1 : $i]: (tpp @ catalunya @ spain)) @ Y0))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl11, '12'])). 126.47/16.88 thf(zip_derived_cl13, plain, 126.47/16.88 (![X0 : $i]: 126.47/16.88 (((!!) @ (^[Y0 : $i]: 126.47/16.88 (((((~) @ (a @ X0 @ Y0))) | (tpp @ catalunya @ spain))))))), 126.47/16.88 inference('ho_norm', [status(thm)], [zip_derived_cl12])). 126.47/16.88 thf(zip_derived_cl14, plain, 126.47/16.88 (![X0 : $i, X2 : $i]: 126.47/16.88 (((((~) @ (a @ X0 @ X2))) | (tpp @ catalunya @ spain)))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])). 126.47/16.88 thf(zip_derived_cl15, plain, 126.47/16.88 (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) | (tpp @ catalunya @ spain))), 126.47/16.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl14])). 126.47/16.88 thf(tpp, axiom, (tpp @ X0 @ X1) => 126.47/16.88 ((((((??) @ (^[Y0 : reg]: (((ec @ Y0 @ X0) & (ec @ Y0 @ X1)))))) & (pp @ 126.47/16.88 X0 @ X1))) 126.47/16.88 = ($true))). 126.47/16.88 thf('14', plain, 126.47/16.88 (![X0:reg,X1:reg]: 126.47/16.88 ( ( tpp @ X0 @ X1 ) <=> 126.47/16.88 ( ( pp @ X0 @ X1 ) & 126.47/16.88 ( ?[X6:reg]: ( ( ec @ X6 @ X0 ) & ( ec @ X6 @ X1 ) ) ) ) )), 126.47/16.88 inference('rw.lit', [status(esa)], [tpp])). 126.47/16.88 thf(zip_derived_cl16, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 ( (((((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ catalunya) & (ec @ Y0 @ spain)))))) & 126.47/16.88 (pp @ catalunya @ spain))) 126.47/16.88 | ~ (a @ X1 @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl15, '14'])). 126.47/16.88 thf(zip_derived_cl18, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: ( (pp @ catalunya @ spain) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl16])). 126.47/16.88 thf(zip_derived_cl20, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 ( (((((~) @ (p @ spain @ catalunya))) & (p @ catalunya @ spain))) 126.47/16.88 | ~ (a @ X1 @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl18, '13'])). 126.47/16.88 thf(zip_derived_cl23, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: (~ (p @ spain @ catalunya) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 126.47/16.88 thf(zip_derived_cl27, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ spain) => (c @ Y0 @ catalunya)))))) 126.47/16.88 | ~ (a @ X1 @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl23, '6'])). 126.47/16.88 thf(zip_derived_cl33, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 (~ (((c @ '#sk2' @ spain) => (c @ '#sk2' @ catalunya))) 126.47/16.88 | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])). 126.47/16.88 thf(zip_derived_cl38, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: (~ (c @ '#sk2' @ catalunya) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])). 126.47/16.88 thf(zip_derived_cl378, plain, (~ (c @ '#sk2' @ catalunya)), 126.47/16.88 inference('sup-', [status(thm)], [zip_derived_cl197, zip_derived_cl38])). 126.47/16.88 thf(zip_derived_cl37, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: ( (c @ '#sk2' @ spain) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl33])). 126.47/16.88 thf(zip_derived_cl197, plain, ( (a @ '#sk89' @ '#sk90')), 126.47/16.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl196])). 126.47/16.88 thf(zip_derived_cl393, plain, ( (c @ '#sk2' @ spain)), 126.47/16.88 inference('sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl197])). 126.47/16.88 thf(zip_derived_cl24, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: ( (p @ catalunya @ spain) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl20])). 126.47/16.88 thf(zip_derived_cl28, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ catalunya) => (c @ Y0 @ spain)))))) 126.47/16.88 | ~ (a @ X1 @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl24, '10'])). 126.47/16.88 thf(zip_derived_cl34, plain, 126.47/16.88 (![X0 : $i, X1 : $i, X3 : reg]: 126.47/16.88 ( (((c @ X3 @ catalunya) => (c @ X3 @ spain))) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl28])). 126.47/16.88 thf(zip_derived_cl39, plain, 126.47/16.88 (![X0 : $i, X1 : $i, X3 : reg]: 126.47/16.88 (~ (c @ X3 @ catalunya) | (c @ X3 @ spain) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])). 126.47/16.88 thf(zip_derived_cl242, plain, 126.47/16.88 (![X2 : reg]: (~ (c @ X2 @ spain) | (c @ X2 @ '#sk91'))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl234])). 126.47/16.88 thf(zip_derived_cl295, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 ( (c @ '#sk97' @ catalunya) 126.47/16.88 | ~ (c @ X2 @ '#sk91') 126.47/16.88 | (c @ X2 @ catalunya) 126.47/16.88 | ~ ('#form94') 126.47/16.88 | ('#form92'))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl287])). 126.47/16.88 thf(zip_derived_cl197, plain, ( (a @ '#sk89' @ '#sk90')), 126.47/16.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl196])). 126.47/16.88 thf(zip_derived_cl288, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 ( (((c @ X2 @ '#sk91') => (c @ X2 @ paris))) 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ '#sk91')))))) 126.47/16.88 | ('#form94') 126.47/16.88 | (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl280])). 126.47/16.88 thf(zip_derived_cl297, plain, 126.47/16.88 ((~ ('#form99') 126.47/16.88 | (((??) @ (^[Y0 : reg]: (((ec @ Y0 @ paris) & (ec @ Y0 @ '#sk91')))))))), 126.47/16.88 define([status(thm)])). 126.47/16.88 thf(zip_derived_cl299, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 ( ('#form99') 126.47/16.88 | ('#form94') 126.47/16.88 | ~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ '#sk91')))))) 126.47/16.88 | (((c @ X2 @ '#sk91') => (c @ X2 @ paris))))), 126.47/16.88 inference('renaming', [status(thm)], 126.47/16.88 [zip_derived_cl288, zip_derived_cl297])). 126.47/16.88 thf(zip_derived_cl306, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (((c @ '#sk101' @ paris) => (c @ '#sk101' @ '#sk91'))) 126.47/16.88 | (((c @ X2 @ '#sk91') => (c @ X2 @ paris))) 126.47/16.88 | ('#form94') 126.47/16.88 | ('#form99'))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl299])). 126.47/16.88 thf(zip_derived_cl316, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (c @ '#sk101' @ '#sk91') 126.47/16.88 | ('#form99') 126.47/16.88 | ('#form94') 126.47/16.88 | (((c @ X2 @ '#sk91') => (c @ X2 @ paris))))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl306])). 126.47/16.88 thf(zip_derived_cl328, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (c @ X2 @ '#sk91') 126.47/16.88 | (c @ X2 @ paris) 126.47/16.88 | ('#form94') 126.47/16.88 | ('#form99') 126.47/16.88 | ~ (c @ '#sk101' @ '#sk91'))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl316])). 126.47/16.88 thf(zip_derived_cl197, plain, ( (a @ '#sk89' @ '#sk90')), 126.47/16.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl196])). 126.47/16.88 thf(ax3, axiom, 126.47/16.88 (mvalid @ ( mbox @ a @ ( ^[X:$i]: ( ntpp @ paris @ france ) ) ))). 126.47/16.88 thf(zip_derived_cl5, plain, 126.47/16.88 ( (mvalid @ (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france))))), 126.47/16.88 inference('cnf', [status(esa)], [ax3])). 126.47/16.88 thf(zip_derived_cl60, plain, 126.47/16.88 ( (((!!) @ (^[Y0 : $i]: 126.47/16.88 (mbox @ a @ (^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl5, '11'])). 126.47/16.88 thf(zip_derived_cl61, plain, 126.47/16.88 (![X2 : $i]: (mbox @ a @ (^[Y0 : $i]: (ntpp @ paris @ france)) @ X2)), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl60])). 126.47/16.88 thf(zip_derived_cl62, plain, 126.47/16.88 (![X0 : $i]: 126.47/16.88 (((!!) @ (^[Y0 : $i]: 126.47/16.88 (((((~) @ (a @ X0 @ Y0))) | 126.47/16.88 ((^[Y1 : $i]: (ntpp @ paris @ france)) @ Y0))))))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl61, '12'])). 126.47/16.88 thf(zip_derived_cl63, plain, 126.47/16.88 (![X0 : $i]: 126.47/16.88 (((!!) @ (^[Y0 : $i]: 126.47/16.88 (((((~) @ (a @ X0 @ Y0))) | (ntpp @ paris @ france))))))), 126.47/16.88 inference('ho_norm', [status(thm)], [zip_derived_cl62])). 126.47/16.88 thf(zip_derived_cl64, plain, 126.47/16.88 (![X0 : $i, X2 : $i]: 126.47/16.88 (((((~) @ (a @ X0 @ X2))) | (ntpp @ paris @ france)))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])). 126.47/16.88 thf(zip_derived_cl65, plain, 126.47/16.88 (![X0 : $i, X2 : $i]: (~ (a @ X0 @ X2) | (ntpp @ paris @ france))), 126.47/16.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl64])). 126.47/16.88 thf(zip_derived_cl66, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 ( (((((~) @ (((??) @ (^[Y0 : reg]: 126.47/16.88 (((ec @ Y0 @ paris) & (ec @ Y0 @ france)))))))) & 126.47/16.88 (pp @ paris @ france))) 126.47/16.88 | ~ (a @ X1 @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl65, '7'])). 126.47/16.88 thf(zip_derived_cl68, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: ( (pp @ paris @ france) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl66])). 126.47/16.88 thf(zip_derived_cl70, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 ( (((((~) @ (p @ france @ paris))) & (p @ paris @ france))) 126.47/16.88 | ~ (a @ X1 @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl68, '13'])). 126.47/16.88 thf(zip_derived_cl72, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: (~ (p @ france @ paris) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl70])). 126.47/16.88 thf(zip_derived_cl75, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 (~ (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ france) => (c @ Y0 @ paris)))))) 126.47/16.88 | ~ (a @ X1 @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl72, '6'])). 126.47/16.88 thf(zip_derived_cl78, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 (~ (((c @ '#sk7' @ france) => (c @ '#sk7' @ paris))) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl75])). 126.47/16.88 thf(zip_derived_cl82, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: (~ (c @ '#sk7' @ paris) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl78])). 126.47/16.88 thf(zip_derived_cl377, plain, (~ (c @ '#sk7' @ paris)), 126.47/16.88 inference('sup-', [status(thm)], [zip_derived_cl197, zip_derived_cl82])). 126.47/16.88 thf(zip_derived_cl81, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: ( (c @ '#sk7' @ france) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl78])). 126.47/16.88 thf(zip_derived_cl197, plain, ( (a @ '#sk89' @ '#sk90')), 126.47/16.88 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl196])). 126.47/16.88 thf(zip_derived_cl397, plain, ( (c @ '#sk7' @ france)), 126.47/16.88 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl197])). 126.47/16.88 thf(zip_derived_cl73, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: ( (p @ paris @ france) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl70])). 126.47/16.88 thf(zip_derived_cl76, plain, 126.47/16.88 (![X0 : $i, X1 : $i]: 126.47/16.88 ( (((!!) @ (^[Y0 : reg]: (((c @ Y0 @ paris) => (c @ Y0 @ france)))))) 126.47/16.88 | ~ (a @ X1 @ X0))), 126.47/16.88 inference('rw_clause', [status(thm)], [zip_derived_cl73, '10'])). 126.47/16.88 thf(zip_derived_cl79, plain, 126.47/16.88 (![X0 : $i, X1 : $i, X3 : reg]: 126.47/16.88 ( (((c @ X3 @ paris) => (c @ X3 @ france))) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl76])). 126.47/16.88 thf(zip_derived_cl83, plain, 126.47/16.88 (![X0 : $i, X1 : $i, X3 : reg]: 126.47/16.88 (~ (c @ X3 @ paris) | (c @ X3 @ france) | ~ (a @ X1 @ X0))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])). 126.47/16.88 thf(zip_derived_cl315, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 ( (c @ '#sk101' @ paris) 126.47/16.88 | ('#form99') 126.47/16.88 | ('#form94') 126.47/16.88 | (((c @ X2 @ '#sk91') => (c @ X2 @ paris))))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl306])). 126.47/16.88 thf(zip_derived_cl327, plain, 126.47/16.88 (![X2 : reg]: 126.47/16.88 (~ (c @ X2 @ '#sk91') 126.47/16.88 | (c @ X2 @ paris) 126.47/16.88 | ('#form94') 126.47/16.88 | ('#form99') 126.47/16.88 | (c @ '#sk101' @ paris))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl315])). 126.47/16.88 thf(zip_derived_cl246, plain, 126.47/16.88 (![X2 : reg]: (~ (c @ X2 @ france) | (c @ X2 @ '#sk91'))), 126.47/16.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl237])). 126.47/16.88 thf(zip_derived_cl24724, plain, ($false), 126.47/16.88 inference('eprover', [status(thm)], 126.47/16.88 [zip_derived_cl346, zip_derived_cl345, zip_derived_cl371, 126.47/16.88 zip_derived_cl374, zip_derived_cl348, zip_derived_cl263, 126.47/16.88 zip_derived_cl347, zip_derived_cl338, zip_derived_cl293, 126.47/16.88 zip_derived_cl369, zip_derived_cl292, zip_derived_cl368, 126.47/16.88 zip_derived_cl167, zip_derived_cl370, zip_derived_cl364, 126.47/16.88 zip_derived_cl363, zip_derived_cl375, zip_derived_cl9, 126.47/16.88 zip_derived_cl330, zip_derived_cl373, zip_derived_cl296, 126.47/16.88 zip_derived_cl378, zip_derived_cl393, zip_derived_cl39, 126.47/16.88 zip_derived_cl242, zip_derived_cl295, zip_derived_cl197, 126.47/16.88 zip_derived_cl328, zip_derived_cl377, zip_derived_cl397, 126.47/16.88 zip_derived_cl83, zip_derived_cl327, zip_derived_cl246])). 126.47/16.88 126.47/16.88 % SZS output end Refutation 126.47/16.88 126.47/16.88 126.47/16.88 % Terminating... 126.51/17.03 % Runner terminated. 126.51/17.04 % Zipperpin 1.5 exiting 126.51/17.05 EOF