TSTP Solution File: NUM749^4 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : NUM749^4 : TPTP v8.1.2. Released v7.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qcq1c5nSGk true
% Computer : n016.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 Aug 31 12:43:53 EDT 2023
% Result : Theorem 62.68s 8.70s
% Output : Refutation 62.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM749^4 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qcq1c5nSGk true
% 0.14/0.35 % Computer : n016.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 15:18:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.23/0.65 % Total configuration time : 828
% 0.23/0.65 % Estimated wc time : 1656
% 0.23/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.75 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.23/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.28/0.78 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 24.84/3.87 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 62.68/8.70 % Solved by lams/40_b.comb.sh.
% 62.68/8.70 % done 78 iterations in 7.905s
% 62.68/8.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 62.68/8.70 % SZS output start Refutation
% 62.68/8.70 thf(d_29_ii_type, type, d_29_ii: $i > $i > $o).
% 62.68/8.70 thf(lessf_type, type, lessf: $i > $i > $o).
% 62.68/8.70 thf(nat_type, type, nat: $i).
% 62.68/8.70 thf(is_of_type, type, is_of: $i > ($i > $o) > $o).
% 62.68/8.70 thf(in_type, type, in: $i > $i > $o).
% 62.68/8.70 thf(l_some_type, type, l_some: $i > ($i > $o) > $o).
% 62.68/8.70 thf(n_pf_type, type, n_pf: $i > $i > $i).
% 62.68/8.70 thf(n_fr_type, type, n_fr: $i > $i > $i).
% 62.68/8.70 thf(frac_type, type, frac: $i).
% 62.68/8.70 thf('#sk3_type', type, '#sk3': $i).
% 62.68/8.70 thf(n_ts_type, type, n_ts: $i > $i > $i).
% 62.68/8.70 thf(pair1type_type, type, pair1type: $i > $i).
% 62.68/8.70 thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o).
% 62.68/8.70 thf(diffprop_type, type, diffprop: $i > $i > $i > $o).
% 62.68/8.70 thf(num_type, type, num: $i > $i).
% 62.68/8.70 thf(n_some_type, type, n_some: ($i > $o) > $o).
% 62.68/8.70 thf(moref_type, type, moref: $i > $i > $o).
% 62.68/8.70 thf('#sk2_type', type, '#sk2': $i).
% 62.68/8.70 thf(den_type, type, den: $i > $i).
% 62.68/8.70 thf(iii_type, type, iii: $i > $i > $o).
% 62.68/8.71 thf(n_pl_type, type, n_pl: $i > $i > $i).
% 62.68/8.71 thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
% 62.68/8.71 thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
% 62.68/8.71 thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
% 62.68/8.71 thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
% 62.68/8.71 thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
% 62.68/8.71 thf(satz60a, conjecture,
% 62.68/8.71 (all_of @
% 62.68/8.71 ( ^[X0:$i]: ( in @ X0 @ frac ) ) @
% 62.68/8.71 ( ^[X0:$i]:
% 62.68/8.71 ( all_of @
% 62.68/8.71 ( ^[X1:$i]: ( in @ X1 @ frac ) ) @
% 62.68/8.71 ( ^[X1:$i]: ( lessf @ X0 @ ( n_pf @ X0 @ X1 ) ) ) ) ))).
% 62.68/8.71 thf(zf_stmt_0, negated_conjecture,
% 62.68/8.71 (~( all_of @
% 62.68/8.71 ( ^[X0:$i]: ( in @ X0 @ frac ) ) @
% 62.68/8.71 ( ^[X0:$i]:
% 62.68/8.71 ( all_of @
% 62.68/8.71 ( ^[X1:$i]: ( in @ X1 @ frac ) ) @
% 62.68/8.71 ( ^[X1:$i]: ( lessf @ X0 @ ( n_pf @ X0 @ X1 ) ) ) ) ) )),
% 62.68/8.71 inference('cnf.neg', [status(esa)], [satz60a])).
% 62.68/8.71 thf(zip_derived_cl331, plain,
% 62.68/8.71 (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @
% 62.68/8.71 (^[Y0 : $i]:
% 62.68/8.71 (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @
% 62.68/8.71 (^[Y1 : $i]: (lessf @ Y0 @ (n_pf @ Y0 @ Y1))))))),
% 62.68/8.71 inference('cnf', [status(esa)], [zf_stmt_0])).
% 62.68/8.71 thf(zip_derived_cl332, plain,
% 62.68/8.71 (~ (all_of @ ((('#C') @ in @ frac)) @
% 62.68/8.71 ((('#B') @ (all_of @ ((('#C') @ in @ frac))) @
% 62.68/8.71 ((('#S') @ ((('#B') @ ('#B') @ lessf)) @ n_pf)))))),
% 62.68/8.71 inference('lams2combs', [status(thm)], [zip_derived_cl331])).
% 62.68/8.71 thf(def_frac, axiom,(( frac ) = ((pair1type @ nat)))).
% 62.68/8.71 thf('0', plain, (( frac ) = ( pair1type @ nat )), define([status(thm)])).
% 62.68/8.71 thf(zip_derived_cl404, plain,
% 62.68/8.71 (~ (all_of @ ((('#C') @ in @ (pair1type @ nat))) @
% 62.68/8.71 ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @
% 62.68/8.71 ((('#S') @ ((('#B') @ ('#B') @ lessf)) @ n_pf)))))),
% 62.68/8.71 inference('rw', [status(thm)], [zip_derived_cl332, '0'])).
% 62.68/8.71 thf(def_all_of, axiom, ~ (all_of @ X0 @ X1) =>
% 62.68/8.71 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) != ($true))).
% 62.68/8.71 thf('1', plain,
% 62.68/8.71 (![X0:( $i > $o ),X1:( $i > $o )]:
% 62.68/8.71 ( ( ~( all_of @ X0 @ X1 ) ) <=>
% 62.68/8.71 ( ~( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) ) )),
% 62.68/8.71 inference('rw.lit', [status(esa)], [def_all_of])).
% 62.68/8.71 thf(zip_derived_cl405, plain,
% 62.68/8.71 (~ (((!!) @ (^[Y0 : $i]:
% 62.68/8.71 (((is_of @ Y0 @ ((('#C') @ in @ (pair1type @ nat)))) =>
% 62.68/8.71 ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @
% 62.68/8.71 ((('#S') @ ((('#B') @ ('#B') @ lessf)) @ n_pf)) @ Y0)))))))),
% 62.68/8.71 inference('rw_clause', [status(thm)], [zip_derived_cl404, '1'])).
% 62.68/8.71 thf(zip_derived_cl406, plain,
% 62.68/8.71 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 62.68/8.71 ((('#C') @ is_of @
% 62.68/8.71 ((('#C') @ in @ (pair1type @ nat))))))) @
% 62.68/8.71 ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @
% 62.68/8.71 ((('#S') @ ((('#B') @ ('#B') @ lessf)) @ n_pf))))))))),
% 62.68/8.71 inference('comb-normalize', [status(thm)], [zip_derived_cl405])).
% 62.68/8.71 thf(zip_derived_cl407, plain,
% 62.68/8.71 (~ (((is_of @ '#sk2' @ ((('#C') @ in @ (pair1type @ nat)))) => (all_of @
% 62.68/8.71 ((('#C') @ in @ (pair1type @ nat))) @
% 62.68/8.71 ((('#B') @ (lessf @ '#sk2') @ (n_pf @ '#sk2'))))))),
% 62.68/8.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl406])).
% 62.68/8.71 thf(zip_derived_cl409, plain,
% 62.68/8.71 (~ (all_of @ ((('#C') @ in @ (pair1type @ nat))) @
% 62.68/8.71 ((('#B') @ (lessf @ '#sk2') @ (n_pf @ '#sk2'))))),
% 62.68/8.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl407])).
% 62.68/8.71 thf(zip_derived_cl410, plain,
% 62.68/8.71 (~ (((!!) @ (^[Y0 : $i]:
% 62.68/8.71 (((is_of @ Y0 @ ((('#C') @ in @ (pair1type @ nat)))) =>
% 62.68/8.71 ((('#B') @ (lessf @ '#sk2') @ (n_pf @ '#sk2') @ Y0)))))))),
% 62.68/8.71 inference('rw_clause', [status(thm)], [zip_derived_cl409, '1'])).
% 62.68/8.71 thf(zip_derived_cl411, plain,
% 62.68/8.71 (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 62.68/8.71 ((('#C') @ is_of @
% 62.68/8.71 ((('#C') @ in @ (pair1type @ nat))))))) @
% 62.68/8.71 ((('#B') @ (lessf @ '#sk2') @ (n_pf @ '#sk2')))))))),
% 62.68/8.71 inference('comb-normalize', [status(thm)], [zip_derived_cl410])).
% 62.68/8.71 thf(zip_derived_cl412, plain,
% 62.68/8.71 (~ (((is_of @ '#sk3' @ ((('#C') @ in @ (pair1type @ nat)))) => (lessf @
% 62.68/8.71 '#sk2' @ (n_pf @ '#sk2' @ '#sk3'))))),
% 62.68/8.71 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl411])).
% 62.68/8.71 thf(def_n_some, axiom,(( n_some @ (X0)) = ((l_some @ nat @ X0)))).
% 62.68/8.71 thf('2', plain,
% 62.68/8.71 (![X0:( $i > $o )]: ( ( n_some @ X0 ) = ( l_some @ nat @ X0 ) )),
% 62.68/8.71 define([status(thm)])).
% 62.68/8.71 thf(def_iii, axiom,(( iii @ (X1)@ (X0)) = ((n_some @ (diffprop @ X0 @ X1))))).
% 62.68/8.71 thf('3', plain,
% 62.68/8.71 (![X1:$i,X0:$i]:
% 62.68/8.71 ( ( iii @ X1 @ X0 ) = ( n_some @ ( diffprop @ X0 @ X1 ) ) )),
% 62.68/8.71 define([status(thm)])).
% 62.68/8.71 thf(def_lessf, axiom,(( lessf @ (X0)@ (X1)) =
% 62.68/8.71 ((iii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))))).
% 62.68/8.71 thf('4', plain,
% 62.68/8.71 (![X1:$i,X0:$i]:
% 62.68/8.71 ( ( lessf @ X0 @ X1 ) =
% 62.68/8.71 ( iii @
% 62.68/8.71 ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @
% 62.68/8.71 ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) )),
% 62.68/8.71 define([status(thm)])).
% 62.68/8.71 thf(def_n_pf, axiom,(( n_pf @ (X0)@ (X1)) =
% 62.68/8.71 ((n_fr @
% 62.68/8.71 (n_pl @ (n_ts @ (num @ X0) @ (den @ X1)) @
% 62.68/8.71 (n_ts @ (num @ X1) @ (den @ X0))) @
% 62.68/8.71 (n_ts @ (den @ X0) @ (den @ X1)))))).
% 62.68/8.71 thf('5', plain,
% 62.68/8.71 (![X1:$i,X0:$i]:
% 62.68/8.71 ( ( n_pf @ X0 @ X1 ) =
% 62.68/8.71 ( n_fr @
% 62.68/8.71 ( n_pl @
% 62.68/8.71 ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @
% 62.68/8.71 ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) @
% 62.68/8.71 ( n_ts @ ( den @ X0 ) @ ( den @ X1 ) ) ) )),
% 62.68/8.71 define([status(thm)])).
% 62.68/8.71 thf(zip_derived_cl413, plain,
% 62.68/8.71 (~ (((is_of @ '#sk3' @ ((('#C') @ in @ (pair1type @ nat)))) => (l_some @
% 62.68/8.71 nat @
% 62.68/8.71 (diffprop @
% 62.68/8.71 (n_ts @
% 62.68/8.71 (num @
% 62.68/8.71 (n_fr @
% 62.68/8.71 (n_pl @ (n_ts @ (num @ '#sk2') @ (den @ '#sk3')) @
% 62.68/8.71 (n_ts @ (num @ '#sk3') @ (den @ '#sk2'))) @
% 62.68/8.71 (n_ts @ (den @ '#sk2') @ (den @ '#sk3')))) @
% 62.68/8.71 (den @ '#sk2')) @
% 62.68/8.71 (n_ts @ (num @ '#sk2') @
% 62.68/8.71 (den @
% 62.68/8.71 (n_fr @
% 62.68/8.71 (n_pl @ (n_ts @ (num @ '#sk2') @ (den @ '#sk3')) @
% 62.68/8.71 (n_ts @ (num @ '#sk3') @ (den @ '#sk2'))) @
% 62.68/8.71 (n_ts @ (den @ '#sk2') @ (den @ '#sk3')))))))))),
% 62.68/8.71 inference('rw', [status(thm)], [zip_derived_cl412, '2', '3', '4', '5'])).
% 62.68/8.71 thf(zip_derived_cl415, plain,
% 62.68/8.71 (~ (l_some @ nat @
% 62.68/8.71 (diffprop @
% 62.68/8.71 (n_ts @
% 62.68/8.71 (num @
% 62.68/8.71 (n_fr @
% 62.68/8.71 (n_pl @ (n_ts @ (num @ '#sk2') @ (den @ '#sk3')) @
% 62.68/8.71 (n_ts @ (num @ '#sk3') @ (den @ '#sk2'))) @
% 62.68/8.71 (n_ts @ (den @ '#sk2') @ (den @ '#sk3')))) @
% 62.68/8.71 (den @ '#sk2')) @
% 62.68/8.71 (n_ts @ (num @ '#sk2') @
% 62.68/8.71 (den @
% 62.68/8.71 (n_fr @
% 62.68/8.71 (n_pl @ (n_ts @ (num @ '#sk2') @ (den @ '#sk3')) @
% 62.68/8.71 (n_ts @ (num @ '#sk3') @ (den @ '#sk2'))) @
% 62.68/8.71 (n_ts @ (den @ '#sk2') @ (den @ '#sk3')))))))),
% 62.68/8.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl413])).
% 62.68/8.71 thf(satz60, axiom,
% 62.68/8.71 (all_of @
% 62.68/8.71 ( ^[X0:$i]: ( in @ X0 @ frac ) ) @
% 62.68/8.71 ( ^[X0:$i]:
% 62.68/8.71 ( all_of @
% 62.68/8.71 ( ^[X1:$i]: ( in @ X1 @ frac ) ) @
% 62.68/8.71 ( ^[X1:$i]: ( moref @ ( n_pf @ X0 @ X1 ) @ X0 ) ) ) ))).
% 62.68/8.71 thf(zip_derived_cl329, plain,
% 62.68/8.71 ( (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @
% 62.68/8.71 (^[Y0 : $i]:
% 62.68/8.71 (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @
% 62.68/8.71 (^[Y1 : $i]: (moref @ (n_pf @ Y0 @ Y1) @ Y0)))))),
% 62.68/8.71 inference('cnf', [status(esa)], [satz60])).
% 62.68/8.71 thf(zip_derived_cl330, plain,
% 62.68/8.71 ( (all_of @ ((('#C') @ in @ frac)) @
% 62.68/8.71 ((('#B') @ (all_of @ ((('#C') @ in @ frac))) @
% 62.68/8.71 ((('#S') @ ((('#B') @ ('#C') @
% 62.68/8.71 ((('#B') @ ((('#B') @ moref)) @ n_pf)))) @
% 62.68/8.71 ('#I'))))))),
% 62.68/8.71 inference('lams2combs', [status(thm)], [zip_derived_cl329])).
% 62.68/8.71 thf(zip_derived_cl500, plain,
% 62.68/8.71 ( (all_of @ ((('#C') @ in @ (pair1type @ nat))) @
% 62.68/8.71 ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @
% 62.68/8.71 ((('#S') @ ((('#B') @ ('#C') @
% 62.68/8.71 ((('#B') @ ((('#B') @ moref)) @ n_pf)))) @
% 62.68/8.71 ('#I'))))))),
% 62.68/8.71 inference('rw', [status(thm)], [zip_derived_cl330, '0'])).
% 62.68/8.71 thf(def_all_of, axiom, (all_of @ X0 @ X1) =>
% 62.68/8.71 ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) = ($true))).
% 62.68/8.71 thf('6', plain,
% 62.68/8.71 (![X0:( $i > $o ),X1:( $i > $o )]:
% 62.68/8.71 ( ( all_of @ X0 @ X1 ) <=>
% 62.68/8.71 ( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) )),
% 62.68/8.71 inference('rw.lit', [status(esa)], [def_all_of])).
% 62.68/8.71 thf(zip_derived_cl501, plain,
% 62.68/8.71 ( (((!!) @ (^[Y0 : $i]:
% 62.68/8.71 (((is_of @ Y0 @ ((('#C') @ in @ (pair1type @ nat)))) =>
% 62.68/8.71 ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @
% 62.68/8.71 ((('#S') @ ((('#B') @ ('#C') @
% 62.68/8.71 ((('#B') @ ((('#B') @ moref)) @ n_pf)))) @
% 62.68/8.71 ('#I'))) @
% 62.68/8.71 Y0)))))))),
% 62.68/8.71 inference('rw_clause', [status(thm)], [zip_derived_cl500, '6'])).
% 62.68/8.71 thf(zip_derived_cl502, plain,
% 62.68/8.71 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 62.68/8.71 ((('#C') @ is_of @
% 62.68/8.71 ((('#C') @ in @ (pair1type @ nat))))))) @
% 62.68/8.71 ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @
% 62.68/8.71 ((('#S') @ ((('#B') @ ('#C') @
% 62.68/8.71 ((('#B') @ ((('#B') @ moref)) @ n_pf)))) @
% 62.68/8.71 ('#I')))))))))),
% 62.68/8.71 inference('comb-normalize', [status(thm)], [zip_derived_cl501])).
% 62.68/8.71 thf(zip_derived_cl503, plain,
% 62.68/8.71 (![X2 : $i]:
% 62.68/8.71 (((is_of @ X2 @ ((('#C') @ in @ (pair1type @ nat)))) => (all_of @
% 62.68/8.71 ((('#C') @ in @ (pair1type @ nat))) @
% 62.68/8.71 ((('#C') @ ((('#B') @ moref @ (n_pf @ X2))) @ X2)))))),
% 62.68/8.71 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl502])).
% 62.68/8.71 thf(zip_derived_cl504, plain,
% 62.68/8.71 (![X2 : $i]:
% 62.68/8.71 (~ (is_of @ X2 @ ((('#C') @ in @ (pair1type @ nat))))
% 62.68/8.71 | (all_of @ ((('#C') @ in @ (pair1type @ nat))) @
% 62.68/8.71 ((('#C') @ ((('#B') @ moref @ (n_pf @ X2))) @ X2))))),
% 62.68/8.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl503])).
% 62.68/8.71 thf(zip_derived_cl505, plain,
% 62.68/8.71 (![X0 : $i]:
% 62.68/8.71 ( (((!!) @ (^[Y0 : $i]:
% 62.68/8.71 (((is_of @ Y0 @ ((('#C') @ in @ (pair1type @ nat)))) =>
% 62.68/8.71 ((('#C') @ ((('#B') @ moref @ (n_pf @ X0))) @ X0 @ Y0)))))))
% 62.68/8.71 | ~ (is_of @ X0 @ ((('#C') @ in @ (pair1type @ nat)))))),
% 62.68/8.71 inference('rw_clause', [status(thm)], [zip_derived_cl504, '6'])).
% 62.68/8.71 thf(zip_derived_cl506, plain,
% 62.68/8.71 (![X0 : $i]:
% 62.68/8.71 ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @
% 62.68/8.71 ((('#C') @ is_of @
% 62.68/8.71 ((('#C') @ in @ (pair1type @ nat))))))) @
% 62.68/8.71 ((('#C') @ ((('#B') @ moref @ (n_pf @ X0))) @ X0))))))
% 62.68/8.71 | ~ (is_of @ X0 @ ((('#C') @ in @ (pair1type @ nat)))))),
% 62.68/8.71 inference('comb-normalize', [status(thm)], [zip_derived_cl505])).
% 62.68/8.71 thf(zip_derived_cl507, plain,
% 62.68/8.71 (![X0 : $i, X2 : $i]:
% 62.68/8.71 ( (((is_of @ X2 @ ((('#C') @ in @ (pair1type @ nat)))) => (moref @
% 62.68/8.71 (n_pf @ X0 @ X2) @ X0)))
% 62.68/8.71 | ~ (is_of @ X0 @ ((('#C') @ in @ (pair1type @ nat)))))),
% 62.68/8.71 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl506])).
% 62.68/8.71 thf(def_d_29_ii, axiom,(( d_29_ii @ (X0)@ (X1)) =
% 62.68/8.71 ((n_some @ (diffprop @ X0 @ X1))))).
% 62.68/8.71 thf('7', plain,
% 62.68/8.71 (![X1:$i,X0:$i]:
% 62.68/8.71 ( ( d_29_ii @ X0 @ X1 ) = ( n_some @ ( diffprop @ X0 @ X1 ) ) )),
% 62.68/8.71 define([status(thm)])).
% 62.68/8.71 thf(def_moref, axiom,(( moref @ (X0)@ (X1)) =
% 62.68/8.71 ((d_29_ii @ (n_ts @ (num @ X0) @ (den @ X1)) @
% 62.68/8.71 (n_ts @ (num @ X1) @ (den @ X0)))))).
% 62.68/8.71 thf('8', plain,
% 62.68/8.71 (![X1:$i,X0:$i]:
% 62.68/8.71 ( ( moref @ X0 @ X1 ) =
% 62.68/8.71 ( d_29_ii @
% 62.68/8.71 ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @
% 62.68/8.71 ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) )),
% 62.68/8.71 define([status(thm)])).
% 62.68/8.71 thf(zip_derived_cl508, plain,
% 62.68/8.71 (![X0 : $i, X2 : $i]:
% 62.68/8.71 ( (((is_of @ X2 @ ((('#C') @ in @ (pair1type @ nat)))) => (l_some @
% 62.68/8.71 nat @
% 62.68/8.71 (diffprop @
% 62.68/8.71 (n_ts @
% 62.68/8.71 (num @
% 62.68/8.71 (n_fr @
% 62.68/8.71 (n_pl @ (n_ts @ (num @ X0) @ (den @ X2)) @
% 62.68/8.71 (n_ts @ (num @ X2) @ (den @ X0))) @
% 62.68/8.71 (n_ts @ (den @ X0) @ (den @ X2)))) @
% 62.68/8.71 (den @ X0)) @
% 62.68/8.71 (n_ts @ (num @ X0) @
% 62.68/8.71 (den @
% 62.68/8.71 (n_fr @
% 62.68/8.71 (n_pl @ (n_ts @ (num @ X0) @ (den @ X2)) @
% 62.68/8.71 (n_ts @ (num @ X2) @ (den @ X0))) @
% 62.68/8.71 (n_ts @ (den @ X0) @ (den @ X2)))))))))
% 62.68/8.71 | ~ (is_of @ X0 @ ((('#C') @ in @ (pair1type @ nat)))))),
% 62.68/8.71 inference('rw', [status(thm)], [zip_derived_cl507, '2', '7', '8', '5'])).
% 62.68/8.71 thf(zip_derived_cl509, plain,
% 62.68/8.71 (![X0 : $i, X2 : $i]:
% 62.68/8.71 (~ (is_of @ X2 @ ((('#C') @ in @ (pair1type @ nat))))
% 62.68/8.71 | (l_some @ nat @
% 62.68/8.71 (diffprop @
% 62.68/8.71 (n_ts @
% 62.68/8.71 (num @
% 62.68/8.71 (n_fr @
% 62.68/8.71 (n_pl @ (n_ts @ (num @ X0) @ (den @ X2)) @
% 62.68/8.71 (n_ts @ (num @ X2) @ (den @ X0))) @
% 62.68/8.71 (n_ts @ (den @ X0) @ (den @ X2)))) @
% 62.68/8.71 (den @ X0)) @
% 62.68/8.71 (n_ts @ (num @ X0) @
% 62.68/8.71 (den @
% 62.68/8.71 (n_fr @
% 62.68/8.71 (n_pl @ (n_ts @ (num @ X0) @ (den @ X2)) @
% 62.68/8.71 (n_ts @ (num @ X2) @ (den @ X0))) @
% 62.68/8.71 (n_ts @ (den @ X0) @ (den @ X2)))))))
% 62.68/8.71 | ~ (is_of @ X0 @ ((('#C') @ in @ (pair1type @ nat)))))),
% 62.68/8.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl508])).
% 62.68/8.71 thf(zip_derived_cl3868, plain,
% 62.68/8.71 ((~ (is_of @ '#sk2' @ ((('#C') @ in @ (pair1type @ nat))))
% 62.68/8.71 | ~ (is_of @ '#sk3' @ ((('#C') @ in @ (pair1type @ nat)))))),
% 62.68/8.71 inference('sup+', [status(thm)], [zip_derived_cl415, zip_derived_cl509])).
% 62.68/8.71 thf(zip_derived_cl408, plain,
% 62.68/8.71 ( (is_of @ '#sk2' @ ((('#C') @ in @ (pair1type @ nat))))),
% 62.68/8.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl407])).
% 62.68/8.71 thf(zip_derived_cl414, plain,
% 62.68/8.71 ( (is_of @ '#sk3' @ ((('#C') @ in @ (pair1type @ nat))))),
% 62.68/8.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl413])).
% 62.68/8.71 thf(zip_derived_cl3929, plain, ($false),
% 62.68/8.71 inference('demod', [status(thm)],
% 62.68/8.71 [zip_derived_cl3868, zip_derived_cl408, zip_derived_cl414])).
% 62.68/8.71
% 62.68/8.71 % SZS output end Refutation
% 62.68/8.71
% 62.68/8.71
% 62.68/8.71 % Terminating...
% 63.24/8.80 % Runner terminated.
% 63.24/8.81 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------