0.04/0.14	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.15/0.20	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dabznxvKbQ true
0.20/0.41	% Computer : n005.cluster.edu
0.20/0.41	% Model    : x86_64 x86_64
0.20/0.41	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.20/0.41	% Memory   : 8042.1875MB
0.20/0.41	% OS       : Linux 3.10.0-693.el7.x86_64
0.20/0.41	% CPULimit : 960
0.20/0.41	% WCLimit  : 120
0.20/0.41	% DateTime : Tue Aug  9 06:44:34 EDT 2022
0.20/0.42	% CPUTime  : 
0.20/0.42	% Running portfolio for 960 s
0.20/0.42	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.20/0.42	% Number of cores: 8
0.20/0.42	% Python version: Python 3.6.8
0.20/0.42	% Running in HO mode
0.43/0.75	% Total configuration time : 828
0.43/0.75	% Estimated wc time : 1656
0.43/0.75	% Estimated cpu time (8 cpus) : 207.0
0.43/0.79	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.43/0.83	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.43/0.83	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.43/0.83	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.43/0.83	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.43/0.83	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.43/0.87	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
0.43/0.87	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
13.36/2.34	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
45.40/6.48	% Solved by lams/40_b.comb.sh.
45.40/6.48	% done 58 iterations in 5.623s
45.40/6.48	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
45.40/6.48	% SZS output start Refutation
45.40/6.48	thf(n_2t_type, type, n_2t: $i).
45.40/6.48	thf(diffprop_type, type, diffprop: $i > $i > $i > $o).
45.40/6.48	thf(moref_type, type, moref: $i > $i > $o).
45.40/6.48	thf(lesseq_type, type, lesseq: $i > $i > $o).
45.40/6.48	thf(d_not_type, type, d_not: $o > $o).
45.40/6.48	thf(is_of_type, type, is_of: $i > ($i > $o) > $o).
45.40/6.48	thf(in_type, type, in: $i > $i > $o).
45.40/6.48	thf(den_type, type, den: $i > $i).
45.40/6.48	thf(n_1t_type, type, n_1t: $i).
45.40/6.48	thf(first1_type, type, first1: $i > $i > $i).
45.40/6.48	thf(ap_type, type, ap: $i > $i > $i).
45.40/6.48	thf(nat_type, type, nat: $i).
45.40/6.48	thf(iii_type, type, iii: $i > $i > $o).
45.40/6.48	thf(l_or_type, type, l_or: $o > $o > $o).
45.40/6.48	thf(second1_type, type, second1: $i > $i > $i).
45.40/6.48	thf(lessf_type, type, lessf: $i > $i > $o).
45.40/6.48	thf(l_some_type, type, l_some: $i > ($i > $o) > $o).
45.40/6.48	thf(frac_type, type, frac: $i).
45.40/6.48	thf(n_ts_type, type, n_ts: $i > $i > $i).
45.40/6.48	thf(imp_type, type, imp: $o > $o > $o).
45.40/6.48	thf('#sk2_type', type, '#sk2': $i).
45.40/6.48	thf(all_of_type, type, all_of: ($i > $o) > ($i > $o) > $o).
45.40/6.48	thf('#sk1_type', type, '#sk1': $i).
45.40/6.48	thf(n_eq_type, type, n_eq: $i > $i > $o).
45.40/6.48	thf(n_is_type, type, n_is: $i > $i > $o).
45.40/6.48	thf(n_some_type, type, n_some: ($i > $o) > $o).
45.40/6.48	thf(moreq_type, type, moreq: $i > $i > $o).
45.40/6.48	thf(d_29_ii_type, type, d_29_ii: $i > $i > $o).
45.40/6.48	thf(num_type, type, num: $i > $i).
45.40/6.48	thf(pair1type_type, type, pair1type: $i > $i).
45.40/6.48	thf(s_comb_type, type, '#S': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > (A > B) > A > C)).
45.40/6.48	thf(c_comb_type, type, '#C': !>[A:$tType, B:$tType, C:$tType]: ((A > B > C) > B > A > C)).
45.40/6.48	thf(b_comb_type, type, '#B': !>[A:$tType, B:$tType, C:$tType]: ((A > B) > (C > A) > C > B)).
45.40/6.48	thf(k_comb_type, type, '#K': !>[A:$tType, B:$tType]: (B > A > B)).
45.40/6.48	thf(i_comb_type, type, '#I': !>[A:$tType]: (A > A)).
45.40/6.48	thf(satz48, conjecture,
45.40/6.48	  (all_of @
45.40/6.48	   ( ^[X0:$i]: ( in @ X0 @ frac ) ) @ 
45.40/6.48	   ( ^[X0:$i]:
45.40/6.48	     ( all_of @
45.40/6.48	       ( ^[X1:$i]: ( in @ X1 @ frac ) ) @ 
45.40/6.48	       ( ^[X1:$i]: ( ( moreq @ X0 @ X1 ) => ( lesseq @ X1 @ X0 ) ) ) ) ))).
45.40/6.48	thf(zf_stmt_0, negated_conjecture,
45.40/6.48	  (~( all_of @
45.40/6.48	      ( ^[X0:$i]: ( in @ X0 @ frac ) ) @ 
45.40/6.48	      ( ^[X0:$i]:
45.40/6.48	        ( all_of @
45.40/6.48	          ( ^[X1:$i]: ( in @ X1 @ frac ) ) @ 
45.40/6.48	          ( ^[X1:$i]: ( ( moreq @ X0 @ X1 ) => ( lesseq @ X1 @ X0 ) ) ) ) ) )),
45.40/6.48	  inference('cnf.neg', [status(esa)], [satz48])).
45.40/6.48	thf(zip_derived_cl286, plain,
45.40/6.48	    (~ (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ 
45.40/6.48	        (^[Y0 : $i]:
45.40/6.48	           (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ 
45.40/6.48	            (^[Y1 : $i]: (((moreq @ Y0 @ Y1) => (lesseq @ Y1 @ Y0)))))))),
45.40/6.48	    inference('cnf', [status(esa)], [zf_stmt_0])).
45.40/6.48	thf(zip_derived_cl287, plain,
45.40/6.48	    (~ (all_of @ ((('#C') @ in @ frac)) @ 
45.40/6.48	        ((('#B') @ (all_of @ ((('#C') @ in @ frac))) @ 
45.40/6.48	          ((('#S') @ ((('#B') @ ('#S') @ 
45.40/6.48	                       ((('#B') @ ((('#B') @ (=>))) @ moreq)))) @ 
45.40/6.48	            ((('#C') @ lesseq)))))))),
45.40/6.48	    inference('lams2combs', [status(thm)], [zip_derived_cl286])).
45.40/6.48	thf(def_frac, axiom,(( frac  ) = ((pair1type @ nat)))).
45.40/6.48	thf('0', plain, (( frac ) = ( pair1type @ nat )), define([status(thm)])).
45.40/6.48	thf(zip_derived_cl362, plain,
45.40/6.48	    (~ (all_of @ ((('#C') @ in @ (pair1type @ nat))) @ 
45.40/6.48	        ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @ 
45.40/6.48	          ((('#S') @ ((('#B') @ ('#S') @ 
45.40/6.48	                       ((('#B') @ ((('#B') @ (=>))) @ moreq)))) @ 
45.40/6.48	            ((('#C') @ lesseq)))))))),
45.40/6.48	    inference('rw', [status(thm)], [zip_derived_cl287, '0'])).
45.40/6.48	thf(def_all_of, axiom, ~ (all_of @ X0 @ X1) =>
45.40/6.48	  ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) != ($true))).
45.40/6.48	thf('1', plain,
45.40/6.48	    (![X0:( $i > $o ),X1:( $i > $o )]:
45.40/6.48	     ( ( ~( all_of @ X0 @ X1 ) ) <=>
45.40/6.48	       ( ~( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) ) )),
45.40/6.48	    inference('rw.lit', [status(esa)], [def_all_of])).
45.40/6.48	thf(zip_derived_cl363, plain,
45.40/6.48	    (~ (((!!) @ (^[Y0 : $i]:
45.40/6.48	                   (((is_of @ Y0 @ ((('#C') @ in @ (pair1type @ nat)))) =>
45.40/6.48	                     ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @ 
45.40/6.48	                       ((('#S') @ ((('#B') @ ('#S') @ 
45.40/6.48	                                    ((('#B') @ ((('#B') @ (=>))) @ moreq)))) @ 
45.40/6.48	                         ((('#C') @ lesseq)))) @ 
45.40/6.48	                       Y0)))))))),
45.40/6.48	    inference('rw_clause', [status(thm)], [zip_derived_cl362, '1'])).
45.40/6.48	thf(zip_derived_cl364, plain,
45.40/6.48	    (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
45.40/6.48	                             ((('#C') @ is_of @ 
45.40/6.48	                               ((('#C') @ in @ (pair1type @ nat))))))) @ 
45.40/6.48	                  ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @ 
45.40/6.48	                    ((('#S') @ ((('#B') @ ('#S') @ 
45.40/6.48	                                 ((('#B') @ ((('#B') @ (=>))) @ moreq)))) @ 
45.40/6.48	                      ((('#C') @ lesseq))))))))))),
45.40/6.48	    inference('comb-normalize', [status(thm)], [zip_derived_cl363])).
45.40/6.48	thf(zip_derived_cl365, plain,
45.40/6.48	    (~ (((is_of @ '#sk1' @ ((('#C') @ in @ (pair1type @ nat)))) => (all_of @ 
45.40/6.48	         ((('#C') @ in @ (pair1type @ nat))) @ 
45.40/6.48	         ((('#S') @ ((('#B') @ (=>) @ (moreq @ '#sk1'))) @ 
45.40/6.48	           ((('#C') @ lesseq @ '#sk1')))))))),
45.40/6.48	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl364])).
45.40/6.48	thf(zip_derived_cl367, plain,
45.40/6.48	    (~ (all_of @ ((('#C') @ in @ (pair1type @ nat))) @ 
45.40/6.48	        ((('#S') @ ((('#B') @ (=>) @ (moreq @ '#sk1'))) @ 
45.40/6.48	          ((('#C') @ lesseq @ '#sk1')))))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl365])).
45.40/6.48	thf(zip_derived_cl368, plain,
45.40/6.48	    (~ (((!!) @ (^[Y0 : $i]:
45.40/6.48	                   (((is_of @ Y0 @ ((('#C') @ in @ (pair1type @ nat)))) =>
45.40/6.48	                     ((('#S') @ ((('#B') @ (=>) @ (moreq @ '#sk1'))) @ 
45.40/6.48	                       ((('#C') @ lesseq @ '#sk1')) @ Y0)))))))),
45.40/6.48	    inference('rw_clause', [status(thm)], [zip_derived_cl367, '1'])).
45.40/6.48	thf(zip_derived_cl369, plain,
45.40/6.48	    (~ (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
45.40/6.48	                             ((('#C') @ is_of @ 
45.40/6.48	                               ((('#C') @ in @ (pair1type @ nat))))))) @ 
45.40/6.48	                  ((('#S') @ ((('#B') @ (=>) @ (moreq @ '#sk1'))) @ 
45.40/6.48	                    ((('#C') @ lesseq @ '#sk1'))))))))),
45.40/6.48	    inference('comb-normalize', [status(thm)], [zip_derived_cl368])).
45.40/6.48	thf(zip_derived_cl370, plain,
45.40/6.48	    (~ (((is_of @ '#sk2' @ ((('#C') @ in @ (pair1type @ nat)))) =>
45.40/6.48	         (((moreq @ '#sk1' @ '#sk2') => (lesseq @ '#sk2' @ '#sk1')))))),
45.40/6.48	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl369])).
45.40/6.48	thf(def_d_not, axiom,(( d_not @ (X0)) = ((imp @ X0 @ ($false))))).
45.40/6.48	thf('2', plain, (![X0:$o]: ( ( d_not @ X0 ) = ( imp @ X0 @ $false ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_l_or, axiom,(( l_or @ (X0)@ (X1)) = ((imp @ (d_not @ X0) @ X1)))).
45.40/6.48	thf('3', plain,
45.40/6.48	    (![X1:$o,X0:$o]: ( ( l_or @ X0 @ X1 ) = ( imp @ ( d_not @ X0 ) @ X1 ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_n_some, axiom,(( n_some @ (X0)) = ((l_some @ nat @ X0)))).
45.40/6.48	thf('4', plain,
45.40/6.48	    (![X0:( $i > $o )]: ( ( n_some @ X0 ) = ( l_some @ nat @ X0 ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_d_29_ii, axiom,(( d_29_ii @ (X0)@ (X1)) =
45.40/6.48	  ((n_some @ (diffprop @ X0 @ X1))))).
45.40/6.48	thf('5', plain,
45.40/6.48	    (![X1:$i,X0:$i]:
45.40/6.48	     ( ( d_29_ii @ X0 @ X1 ) = ( n_some @ ( diffprop @ X0 @ X1 ) ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_iii, axiom,(( iii @ (X1)@ (X0)) = ((n_some @ (diffprop @ X0 @ X1))))).
45.40/6.48	thf('6', plain,
45.40/6.48	    (![X1:$i,X0:$i]:
45.40/6.48	     ( ( iii @ X1 @ X0 ) = ( n_some @ ( diffprop @ X0 @ X1 ) ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_first1, axiom,(( first1 @ (X1)@ (X0)) = ((ap @ X0 @ n_1t)))).
45.40/6.48	thf('7', plain,
45.40/6.48	    (![X1:$i,X0:$i]: ( ( first1 @ X1 @ X0 ) = ( ap @ X0 @ n_1t ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_second1, axiom,(( second1 @ (X1)@ (X0)) = ((ap @ X0 @ n_2t)))).
45.40/6.48	thf('8', plain,
45.40/6.48	    (![X1:$i,X0:$i]: ( ( second1 @ X1 @ X0 ) = ( ap @ X0 @ n_2t ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_num, axiom,(( num @ (X0)) = ((first1 @ nat @ X0)))).
45.40/6.48	thf('9', plain, (![X0:$i]: ( ( num @ X0 ) = ( first1 @ nat @ X0 ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_den, axiom,(( den @ (X0)) = ((second1 @ nat @ X0)))).
45.40/6.48	thf('10', plain, (![X0:$i]: ( ( den @ X0 ) = ( second1 @ nat @ X0 ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_n_eq, axiom,(( n_eq @ (X0)@ (X1)) =
45.40/6.48	  ((n_is @ (n_ts @ (num @ X0) @ (den @ X1)) @ 
45.40/6.48	    (n_ts @ (num @ X1) @ (den @ X0)))))).
45.40/6.48	thf('11', plain,
45.40/6.48	    (![X1:$i,X0:$i]:
45.40/6.48	     ( ( n_eq @ X0 @ X1 ) =
45.40/6.48	       ( n_is @
45.40/6.48	         ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ 
45.40/6.48	         ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_moref, axiom,(( moref @ (X0)@ (X1)) =
45.40/6.48	  ((d_29_ii @ (n_ts @ (num @ X0) @ (den @ X1)) @ 
45.40/6.48	    (n_ts @ (num @ X1) @ (den @ X0)))))).
45.40/6.48	thf('12', plain,
45.40/6.48	    (![X1:$i,X0:$i]:
45.40/6.48	     ( ( moref @ X0 @ X1 ) =
45.40/6.48	       ( d_29_ii @
45.40/6.48	         ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ 
45.40/6.48	         ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_lessf, axiom,(( lessf @ (X0)@ (X1)) =
45.40/6.48	  ((iii @ (n_ts @ (num @ X0) @ (den @ X1)) @ (n_ts @ (num @ X1) @ (den @ X0)))))).
45.40/6.48	thf('13', plain,
45.40/6.48	    (![X1:$i,X0:$i]:
45.40/6.48	     ( ( lessf @ X0 @ X1 ) =
45.40/6.48	       ( iii @
45.40/6.48	         ( n_ts @ ( num @ X0 ) @ ( den @ X1 ) ) @ 
45.40/6.48	         ( n_ts @ ( num @ X1 ) @ ( den @ X0 ) ) ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_moreq, axiom,(( moreq @ (X0)@ (X1)) =
45.40/6.48	  ((l_or @ (moref @ X0 @ X1) @ (n_eq @ X0 @ X1))))).
45.40/6.48	thf('14', plain,
45.40/6.48	    (![X1:$i,X0:$i]:
45.40/6.48	     ( ( moreq @ X0 @ X1 ) =
45.40/6.48	       ( l_or @ ( moref @ X0 @ X1 ) @ ( n_eq @ X0 @ X1 ) ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(def_lesseq, axiom,(( lesseq @ (X0)@ (X1)) =
45.40/6.48	  ((l_or @ (lessf @ X0 @ X1) @ (n_eq @ X0 @ X1))))).
45.40/6.48	thf('15', plain,
45.40/6.48	    (![X1:$i,X0:$i]:
45.40/6.48	     ( ( lesseq @ X0 @ X1 ) =
45.40/6.48	       ( l_or @ ( lessf @ X0 @ X1 ) @ ( n_eq @ X0 @ X1 ) ) )),
45.40/6.48	    define([status(thm)])).
45.40/6.48	thf(zip_derived_cl371, plain,
45.40/6.48	    (~ (((is_of @ '#sk2' @ ((('#C') @ in @ (pair1type @ nat)))) =>
45.40/6.48	         (((imp @ 
45.40/6.48	           (imp @ 
45.40/6.48	            (l_some @ nat @ 
45.40/6.48	             (diffprop @ 
45.40/6.48	              (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	              (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) @ 
45.40/6.48	            ($false)) @ 
45.40/6.48	           (n_is @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	            (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) =>
45.40/6.48	           (imp @ 
45.40/6.48	           (imp @ 
45.40/6.48	            (l_some @ nat @ 
45.40/6.48	             (diffprop @ 
45.40/6.48	              (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	              (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) @ 
45.40/6.48	            ($false)) @ 
45.40/6.48	           (n_is @ (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)) @ 
45.40/6.48	            (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t))))))))),
45.40/6.48	    inference('rw', [status(thm)],
45.40/6.48	              [zip_derived_cl370, '2', '3', '3', '4', '5', '6', '7', '7', 
45.40/6.48	               '8', '8', '9', '9', '10', '10', '11', '11', '12', '13', '14', 
45.40/6.48	               '15'])).
45.40/6.48	thf(zip_derived_cl373, plain,
45.40/6.48	    (~ (((imp @ 
45.40/6.48	         (imp @ 
45.40/6.48	          (l_some @ nat @ 
45.40/6.48	           (diffprop @ 
45.40/6.48	            (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	            (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) @ 
45.40/6.48	          ($false)) @ 
45.40/6.48	         (n_is @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	          (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) =>
45.40/6.48	         (imp @ 
45.40/6.48	         (imp @ 
45.40/6.48	          (l_some @ nat @ 
45.40/6.48	           (diffprop @ 
45.40/6.48	            (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	            (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) @ 
45.40/6.48	          ($false)) @ 
45.40/6.48	         (n_is @ (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)) @ 
45.40/6.48	          (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t))))))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl371])).
45.40/6.48	thf(zip_derived_cl375, plain,
45.40/6.48	    (~ (imp @ 
45.40/6.48	        (imp @ 
45.40/6.48	         (l_some @ nat @ 
45.40/6.48	          (diffprop @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	           (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) @ 
45.40/6.48	         ($false)) @ 
45.40/6.48	        (n_is @ (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)) @ 
45.40/6.48	         (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t))))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl373])).
45.40/6.48	thf(def_imp, axiom, ~ (imp @ X0 @ X1) => ((((X0) => (X1))) != ($true))).
45.40/6.48	thf('16', plain,
45.40/6.48	    (![X0:$o,X1:$o]: ( ( ~( imp @ X0 @ X1 ) ) <=> ( ~( ( X0 ) => ( X1 ) ) ) )),
45.40/6.48	    inference('rw.lit', [status(esa)], [def_imp])).
45.40/6.48	thf(zip_derived_cl377, plain,
45.40/6.48	    (~ (((imp @ 
45.40/6.48	         (l_some @ nat @ 
45.40/6.48	          (diffprop @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	           (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) @ 
45.40/6.48	         ($false)) => (n_is @ 
45.40/6.48	         (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)) @ 
45.40/6.48	         (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)))))),
45.40/6.48	    inference('rw_clause', [status(thm)], [zip_derived_cl375, '16'])).
45.40/6.48	thf(zip_derived_cl380, plain,
45.40/6.48	    (~ (n_is @ (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)) @ 
45.40/6.48	        (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl377])).
45.40/6.48	thf(satz38, axiom,
45.40/6.48	  (all_of @
45.40/6.48	   ( ^[X0:$i]: ( in @ X0 @ frac ) ) @ 
45.40/6.48	   ( ^[X0:$i]:
45.40/6.48	     ( all_of @
45.40/6.48	       ( ^[X1:$i]: ( in @ X1 @ frac ) ) @ 
45.40/6.48	       ( ^[X1:$i]: ( ( n_eq @ X0 @ X1 ) => ( n_eq @ X1 @ X0 ) ) ) ) ))).
45.40/6.48	thf(zip_derived_cl240, plain,
45.40/6.48	    ( (all_of @ (^[Y0 : $i]: (in @ Y0 @ frac)) @ 
45.40/6.48	       (^[Y0 : $i]:
45.40/6.48	          (all_of @ (^[Y1 : $i]: (in @ Y1 @ frac)) @ 
45.40/6.48	           (^[Y1 : $i]: (((n_eq @ Y0 @ Y1) => (n_eq @ Y1 @ Y0)))))))),
45.40/6.48	    inference('cnf', [status(esa)], [satz38])).
45.40/6.48	thf(zip_derived_cl241, plain,
45.40/6.48	    ( (all_of @ ((('#C') @ in @ frac)) @ 
45.40/6.48	       ((('#B') @ (all_of @ ((('#C') @ in @ frac))) @ 
45.40/6.48	         ((('#S') @ ((('#B') @ ('#S') @ ((('#B') @ ((('#B') @ (=>))) @ n_eq)))) @ 
45.40/6.48	           ((('#C') @ n_eq)))))))),
45.40/6.48	    inference('lams2combs', [status(thm)], [zip_derived_cl240])).
45.40/6.48	thf(zip_derived_cl471, plain,
45.40/6.48	    ( (all_of @ ((('#C') @ in @ (pair1type @ nat))) @ 
45.40/6.48	       ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @ 
45.40/6.48	         ((('#S') @ ((('#B') @ ('#S') @ ((('#B') @ ((('#B') @ (=>))) @ n_eq)))) @ 
45.40/6.48	           ((('#C') @ n_eq)))))))),
45.40/6.48	    inference('rw', [status(thm)], [zip_derived_cl241, '0'])).
45.40/6.48	thf(def_all_of, axiom, (all_of @ X0 @ X1) =>
45.40/6.48	  ((((!!) @ (^[Y0 : $i]: (((is_of @ Y0 @ X0) => (X1 @ Y0)))))) = ($true))).
45.40/6.48	thf('17', plain,
45.40/6.48	    (![X0:( $i > $o ),X1:( $i > $o )]:
45.40/6.48	     ( ( all_of @ X0 @ X1 ) <=>
45.40/6.48	       ( ![X6:$i]: ( ( is_of @ X6 @ X0 ) => ( X1 @ X6 ) ) ) )),
45.40/6.48	    inference('rw.lit', [status(esa)], [def_all_of])).
45.40/6.48	thf(zip_derived_cl472, plain,
45.40/6.48	    ( (((!!) @ (^[Y0 : $i]:
45.40/6.48	                  (((is_of @ Y0 @ ((('#C') @ in @ (pair1type @ nat)))) =>
45.40/6.48	                    ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @ 
45.40/6.48	                      ((('#S') @ ((('#B') @ ('#S') @ 
45.40/6.48	                                   ((('#B') @ ((('#B') @ (=>))) @ n_eq)))) @ 
45.40/6.48	                        ((('#C') @ n_eq)))) @ 
45.40/6.48	                      Y0)))))))),
45.40/6.48	    inference('rw_clause', [status(thm)], [zip_derived_cl471, '17'])).
45.40/6.48	thf(zip_derived_cl473, plain,
45.40/6.48	    ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
45.40/6.48	                            ((('#C') @ is_of @ 
45.40/6.48	                              ((('#C') @ in @ (pair1type @ nat))))))) @ 
45.40/6.48	                 ((('#B') @ (all_of @ ((('#C') @ in @ (pair1type @ nat)))) @ 
45.40/6.48	                   ((('#S') @ ((('#B') @ ('#S') @ 
45.40/6.48	                                ((('#B') @ ((('#B') @ (=>))) @ n_eq)))) @ 
45.40/6.48	                     ((('#C') @ n_eq))))))))))),
45.40/6.48	    inference('comb-normalize', [status(thm)], [zip_derived_cl472])).
45.40/6.48	thf(zip_derived_cl474, plain,
45.40/6.48	    (![X2 : $i]:
45.40/6.48	        (((is_of @ X2 @ ((('#C') @ in @ (pair1type @ nat)))) => (all_of @ 
45.40/6.48	          ((('#C') @ in @ (pair1type @ nat))) @ 
45.40/6.48	          ((('#S') @ ((('#B') @ (=>) @ (n_eq @ X2))) @ ((('#C') @ n_eq @ X2)))))))),
45.40/6.48	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl473])).
45.40/6.48	thf(zip_derived_cl475, plain,
45.40/6.48	    (![X2 : $i]:
45.40/6.48	       (~ (is_of @ X2 @ ((('#C') @ in @ (pair1type @ nat))))
45.40/6.48	        |  (all_of @ ((('#C') @ in @ (pair1type @ nat))) @ 
45.40/6.48	            ((('#S') @ ((('#B') @ (=>) @ (n_eq @ X2))) @ 
45.40/6.48	              ((('#C') @ n_eq @ X2))))))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl474])).
45.40/6.48	thf(zip_derived_cl476, plain,
45.40/6.48	    (![X0 : $i]:
45.40/6.48	       ( (((!!) @ (^[Y0 : $i]:
45.40/6.48	                     (((is_of @ Y0 @ ((('#C') @ in @ (pair1type @ nat)))) =>
45.40/6.48	                       ((('#S') @ ((('#B') @ (=>) @ (n_eq @ X0))) @ 
45.40/6.48	                         ((('#C') @ n_eq @ X0)) @ Y0)))))))
45.40/6.48	        | ~ (is_of @ X0 @ ((('#C') @ in @ (pair1type @ nat)))))),
45.40/6.48	    inference('rw_clause', [status(thm)], [zip_derived_cl475, '17'])).
45.40/6.48	thf(zip_derived_cl477, plain,
45.40/6.48	    (![X0 : $i]:
45.40/6.48	       ( (((!!) @ ((('#S') @ ((('#B') @ (=>) @ 
45.40/6.48	                               ((('#C') @ is_of @ 
45.40/6.48	                                 ((('#C') @ in @ (pair1type @ nat))))))) @ 
45.40/6.48	                    ((('#S') @ ((('#B') @ (=>) @ (n_eq @ X0))) @ 
45.40/6.48	                      ((('#C') @ n_eq @ X0))))))))
45.40/6.48	        | ~ (is_of @ X0 @ ((('#C') @ in @ (pair1type @ nat)))))),
45.40/6.48	    inference('comb-normalize', [status(thm)], [zip_derived_cl476])).
45.40/6.48	thf(zip_derived_cl478, plain,
45.40/6.48	    (![X0 : $i, X2 : $i]:
45.40/6.48	       ( (((is_of @ X2 @ ((('#C') @ in @ (pair1type @ nat)))) =>
45.40/6.48	           (((n_eq @ X0 @ X2) => (n_eq @ X2 @ X0)))))
45.40/6.48	        | ~ (is_of @ X0 @ ((('#C') @ in @ (pair1type @ nat)))))),
45.40/6.48	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl477])).
45.40/6.48	thf(zip_derived_cl479, plain,
45.40/6.48	    (![X0 : $i, X2 : $i]:
45.40/6.48	       ( (((is_of @ X2 @ ((('#C') @ in @ (pair1type @ nat)))) =>
45.40/6.48	           (((n_is @ (n_ts @ (ap @ X0 @ n_1t) @ (ap @ X2 @ n_2t)) @ 
45.40/6.48	             (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X0 @ n_2t))) => (n_is @ 
45.40/6.48	             (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X0 @ n_2t)) @ 
45.40/6.48	             (n_ts @ (ap @ X0 @ n_1t) @ (ap @ X2 @ n_2t)))))))
45.40/6.48	        | ~ (is_of @ X0 @ ((('#C') @ in @ (pair1type @ nat)))))),
45.40/6.48	    inference('rw', [status(thm)],
45.40/6.48	              [zip_derived_cl478, '7', '7', '8', '8', '9', '9', '10', '10', 
45.40/6.48	               '11', '11'])).
45.40/6.48	thf(zip_derived_cl480, plain,
45.40/6.48	    (![X0 : $i, X2 : $i]:
45.40/6.48	       (~ (is_of @ X2 @ ((('#C') @ in @ (pair1type @ nat))))
45.40/6.48	        |  (((n_is @ (n_ts @ (ap @ X0 @ n_1t) @ (ap @ X2 @ n_2t)) @ 
45.40/6.48	             (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X0 @ n_2t))) => (n_is @ 
45.40/6.48	             (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X0 @ n_2t)) @ 
45.40/6.48	             (n_ts @ (ap @ X0 @ n_1t) @ (ap @ X2 @ n_2t)))))
45.40/6.48	        | ~ (is_of @ X0 @ ((('#C') @ in @ (pair1type @ nat)))))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl479])).
45.40/6.48	thf(zip_derived_cl481, plain,
45.40/6.48	    (![X0 : $i, X2 : $i]:
45.40/6.48	       (~ (n_is @ (n_ts @ (ap @ X0 @ n_1t) @ (ap @ X2 @ n_2t)) @ 
45.40/6.48	           (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X0 @ n_2t)))
45.40/6.48	        |  (n_is @ (n_ts @ (ap @ X2 @ n_1t) @ (ap @ X0 @ n_2t)) @ 
45.40/6.48	            (n_ts @ (ap @ X0 @ n_1t) @ (ap @ X2 @ n_2t)))
45.40/6.48	        | ~ (is_of @ X0 @ ((('#C') @ in @ (pair1type @ nat))))
45.40/6.48	        | ~ (is_of @ X2 @ ((('#C') @ in @ (pair1type @ nat)))))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl480])).
45.40/6.48	thf(zip_derived_cl3418, plain,
45.40/6.48	    ((~ (is_of @ '#sk2' @ ((('#C') @ in @ (pair1type @ nat))))
45.40/6.48	      | ~ (is_of @ '#sk1' @ ((('#C') @ in @ (pair1type @ nat))))
45.40/6.48	      | ~ (n_is @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	           (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t))))),
45.40/6.48	    inference('sup+', [status(thm)], [zip_derived_cl380, zip_derived_cl481])).
45.40/6.48	thf(zip_derived_cl372, plain,
45.40/6.48	    ( (is_of @ '#sk2' @ ((('#C') @ in @ (pair1type @ nat))))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl371])).
45.40/6.48	thf(zip_derived_cl366, plain,
45.40/6.48	    ( (is_of @ '#sk1' @ ((('#C') @ in @ (pair1type @ nat))))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl365])).
45.40/6.48	thf(zip_derived_cl374, plain,
45.40/6.48	    ( (imp @ 
45.40/6.48	       (imp @ 
45.40/6.48	        (l_some @ nat @ 
45.40/6.48	         (diffprop @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	          (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) @ 
45.40/6.48	        ($false)) @ 
45.40/6.48	       (n_is @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	        (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t))))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl373])).
45.40/6.48	thf(def_imp, axiom, (imp @ X0 @ X1) => ((((X0) => (X1))) = ($true))).
45.40/6.48	thf('18', plain,
45.40/6.48	    (![X0:$o,X1:$o]: ( ( imp @ X0 @ X1 ) <=> ( ( X0 ) => ( X1 ) ) )),
45.40/6.48	    inference('rw.lit', [status(esa)], [def_imp])).
45.40/6.48	thf(zip_derived_cl376, plain,
45.40/6.48	    ( (((imp @ 
45.40/6.48	        (l_some @ nat @ 
45.40/6.48	         (diffprop @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	          (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) @ 
45.40/6.48	        ($false)) => (n_is @ 
45.40/6.48	        (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	        (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))))),
45.40/6.48	    inference('rw_clause', [status(thm)], [zip_derived_cl374, '18'])).
45.40/6.48	thf(zip_derived_cl378, plain,
45.40/6.48	    ((~ (imp @ 
45.40/6.48	         (l_some @ nat @ 
45.40/6.48	          (diffprop @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	           (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) @ 
45.40/6.48	         ($false))
45.40/6.48	      |  (n_is @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	          (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t))))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl376])).
45.40/6.48	thf(zip_derived_cl381, plain,
45.40/6.48	    ((~ (((l_some @ nat @ 
45.40/6.48	          (diffprop @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	           (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) =>
45.40/6.48	          ($false)))
45.40/6.48	      |  (n_is @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	          (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t))))),
45.40/6.48	    inference('rw_clause', [status(thm)], [zip_derived_cl378, '16'])).
45.40/6.48	thf(zip_derived_cl383, plain,
45.40/6.48	    ((~ (((~) @ (l_some @ nat @ 
45.40/6.48	                 (diffprop @ 
45.40/6.48	                  (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	                  (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t))))))
45.40/6.48	      |  (n_is @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	          (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t))))),
45.40/6.48	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl381])).
45.40/6.48	thf(zip_derived_cl384, plain,
45.40/6.48	    (( (l_some @ nat @ 
45.40/6.48	        (diffprop @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	         (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t))))
45.40/6.48	      |  (n_is @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	          (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t))))),
45.40/6.48	    inference('simplify nested equalities', [status(thm)],
45.40/6.48	              [zip_derived_cl383])).
45.40/6.48	thf(zip_derived_cl379, plain,
45.40/6.48	    ( (imp @ 
45.40/6.48	       (l_some @ nat @ 
45.40/6.48	        (diffprop @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	         (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) @ 
45.40/6.48	       ($false))),
45.40/6.48	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl377])).
45.40/6.48	thf(zip_derived_cl382, plain,
45.40/6.48	    ( (((l_some @ nat @ 
45.40/6.48	        (diffprop @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	         (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))) =>
45.40/6.48	        ($false)))),
45.40/6.48	    inference('rw_clause', [status(thm)], [zip_derived_cl379, '18'])).
45.40/6.48	thf(zip_derived_cl385, plain,
45.40/6.48	    ( (((~) @ (l_some @ nat @ 
45.40/6.48	               (diffprop @ 
45.40/6.48	                (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	                (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t))))))),
45.40/6.48	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl382])).
45.40/6.48	thf(zip_derived_cl386, plain,
45.40/6.48	    (~ (l_some @ nat @ 
45.40/6.48	        (diffprop @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	         (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t))))),
45.40/6.48	    inference('simplify nested equalities', [status(thm)],
45.40/6.48	              [zip_derived_cl385])).
45.40/6.48	thf(zip_derived_cl470, plain,
45.40/6.48	    ( (n_is @ (n_ts @ (ap @ '#sk1' @ n_1t) @ (ap @ '#sk2' @ n_2t)) @ 
45.40/6.48	       (n_ts @ (ap @ '#sk2' @ n_1t) @ (ap @ '#sk1' @ n_2t)))),
45.40/6.48	    inference('clc', [status(thm)], [zip_derived_cl384, zip_derived_cl386])).
45.40/6.48	thf(zip_derived_cl3449, plain, ($false),
45.40/6.48	    inference('demod', [status(thm)],
45.40/6.48	              [zip_derived_cl3418, zip_derived_cl372, zip_derived_cl366, 
45.40/6.48	               zip_derived_cl470])).
45.40/6.48	
45.40/6.48	% SZS output end Refutation
45.40/6.48	
45.40/6.48	
45.40/6.48	% Terminating...
45.84/6.55	% Runner terminated.
45.84/6.57	% Zipperpin 1.5 exiting
45.84/6.58	EOF