0.00/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.15	% Command    : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.7ghnQOEhVK
0.14/0.36	% Computer   : n009.cluster.edu
0.14/0.36	% Model      : x86_64 x86_64
0.14/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.36	% Memory     : 8042.1875MB
0.14/0.36	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.36	% CPULimit   : 960
0.14/0.36	% DateTime   : Thu Jul  2 09:30:21 EDT 2020
0.14/0.36	% CPUTime    : 
0.14/0.36	% Running portfolio for 120 s
0.14/0.36	% File         : /export/starexec/sandbox2/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
0.53/0.63	% Estimated wc time : 1286
0.53/0.63	% Estimated cpu time (7 cpus) : 183.71428571428572
0.53/0.73	% /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s
0.53/0.73	% /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s
0.53/0.74	% /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s
0.53/0.74	% /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s
0.53/0.74	% /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s
0.53/0.74	% /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s
0.53/0.74	% /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s
70.86/10.78	% /export/starexec/sandbox2/solver/bin/lams/old_sp2.sh running for 17s
105.03/15.79	% /export/starexec/sandbox2/solver/bin/lams/b.sh running for 31s
105.03/15.80	% /export/starexec/sandbox2/solver/bin/lams/sh1.sh running for 26s
145.28/21.66	% /export/starexec/sandbox2/solver/bin/lams/b.lsimp.sh running for 17s
146.18/21.76	% /export/starexec/sandbox2/solver/bin/lams/b.split.sh running for 31s
181.72/26.93	% /export/starexec/sandbox2/solver/bin/lams/s4.sh running for 15s
187.48/27.84	% /export/starexec/sandbox2/solver/bin/lams/b.rw.sh running for 26s
262.74/38.70	% /export/starexec/sandbox2/solver/bin/lams/c_ic.sh running for 42s
284.36/41.82	% /export/starexec/sandbox2/solver/bin/lams/s1.f.sh running for 15s
285.33/41.98	% /export/starexec/sandbox2/solver/bin/lams/c.preprocess2.sh running for 21s
329.45/48.61	% /export/starexec/sandbox2/solver/bin/lams/sh.or.sh running for 26s
340.73/50.23	% Solved by lams/sh.or.sh.
340.73/50.23	% done 180 iterations in 1.587s
340.73/50.23	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
340.73/50.23	% SZS output start Refutation
340.73/50.23	tff(def_rt_moreis, axiom, rt_moreis() =
340.73/50.23	  ^[X0,X1]: l_or(rt_more(X0,X1),rt_is(X0,X1))).
340.73/50.23	tff(def_rt_is, axiom, rt_is() = e_is(rat)).
340.73/50.23	tff(def_rat, axiom, rat() = ect(frac,n_eq)).
340.73/50.23	tff('0', plain, rat = ect(frac,n_eq),
340.73/50.23	    inference('simplify_rw_rule', [status(thm)], [def_rat])).
340.73/50.23	tff('1', plain, rat = ect(frac,n_eq), define([status(thm)])).
340.73/50.23	tff(def_e_is, axiom, e_is() = ^[X0,X,Y]: (X = Y)).
340.73/50.23	tff('2', plain, e_is = (^[X0,X,Y]: (X = Y)),
340.73/50.23	    inference('simplify_rw_rule', [status(thm)], [def_e_is])).
340.73/50.23	tff('3', plain, e_is = (^[V_1,V_2,V_3]: (V_2 = V_3)), define([status(thm)])).
340.73/50.23	tff('4', plain, rt_is = e_is(rat),
340.73/50.23	    inference('simplify_rw_rule', [status(thm)], [def_rt_is, '1', '3'])).
340.73/50.23	tff('5', plain, rt_is = e_is(rat), define([status(thm)])).
340.73/50.23	tff(def_l_or, axiom, l_or() = ^[X0:$o]: imp(d_not(X0))).
340.73/50.23	tff(def_d_not, axiom, d_not() = ^[X0:$o]: imp(X0,$false)).
340.73/50.23	tff(def_imp, axiom, imp() = ^[X0:$o,X1:$o]: (X0 => X1)).
340.73/50.23	tff('6', plain, imp = (^[X0:$o,X1:$o]: (X0 => X1)),
340.73/50.23	    inference('simplify_rw_rule', [status(thm)], [def_imp])).
340.73/50.23	tff('7', plain, imp = (^[V_1:$o,V_2:$o]: (V_1 => V_2)), define([status(thm)])).
340.73/50.23	tff('8', plain, d_not = (^[X0:$o]: imp(X0,$false)),
340.73/50.23	    inference('simplify_rw_rule', [status(thm)], [def_d_not, '7'])).
340.73/50.23	tff('9', plain, d_not = (^[V_1:$o]: imp(V_1,$false)), define([status(thm)])).
340.73/50.23	tff('10', plain, l_or = (^[X0:$o]: imp(d_not(X0))),
340.73/50.23	    inference('simplify_rw_rule', [status(thm)], [def_l_or, '9', '7'])).
340.73/50.23	tff('11', plain, l_or = (^[V_1:$o]: imp(d_not(V_1))), define([status(thm)])).
340.73/50.23	tff('12', plain, rt_moreis = (^[X0,X1]: l_or(rt_more(X0,X1),rt_is(X0,X1))),
340.73/50.23	    inference('simplify_rw_rule', [status(thm)],
340.73/50.23	              [def_rt_moreis, '5', '1', '3', '11', '9', '7'])).
340.73/50.23	tff('13', plain,
340.73/50.23	    rt_moreis = (^[V_1,V_2]: l_or(rt_more(V_1,V_2),rt_is(V_1,V_2))),
340.73/50.23	    define([status(thm)])).
340.73/50.23	tff(def_rt_less, axiom, rt_less() =
340.73/50.23	  ^[X0,X1]:
340.73/50.23	    l_some(frac,
340.73/50.23	           ^[X2]:
340.73/50.23	             l_some(frac,
340.73/50.23	                    ^[X3]:
340.73/50.23	                      and3(inf(X2,class(X0)),inf(X3,class(X1)),lessf(X2,X3))))).
340.73/50.23	tff('14', plain,
340.73/50.23	    rt_less =
340.73/50.23	    (^[X0,X1]:
340.73/50.23	       l_some(frac,
340.73/50.23	              ^[X2]:
340.73/50.23	                l_some(frac,
340.73/50.23	                       ^[X3]:
340.73/50.23	                         and3(inf(X2,class(X0)),inf(X3,class(X1)),
340.73/50.23	                              lessf(X2,X3))))),
340.73/50.23	    inference('simplify_rw_rule', [status(thm)], [def_rt_less])).
340.73/50.23	tff('15', plain,
340.73/50.23	    rt_less =
340.73/50.23	    (^[V_1,V_2]:
340.73/50.23	       l_some(frac,
340.73/50.23	              ^[V_3]:
340.73/50.23	                l_some(frac,
340.73/50.23	                       ^[V_4]:
340.73/50.23	                         and3(inf(V_3,class(V_1)),inf(V_4,class(V_2)),
340.73/50.23	                              lessf(V_3,V_4))))),
340.73/50.23	    define([status(thm)])).
340.73/50.23	tff(def_all_of, axiom, all_of() =
340.73/50.23	  ^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))).
340.73/50.23	tff('16', plain,
340.73/50.23	    all_of =
340.73/50.23	    (^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))),
340.73/50.23	    inference('simplify_rw_rule', [status(thm)], [def_all_of])).
340.73/50.23	tff('17', plain,
340.73/50.23	    all_of =
340.73/50.23	    (^[V_1:(($i > $o)),V_2:(($i > $o))]: (![X4]: (is_of(X4,V_1) => V_2(X4)))),
340.73/50.23	    define([status(thm)])).
340.73/50.23	tff(satz81j, conjecture,
340.73/50.23	  (all_of(^[X0]: in(X0,rat),
340.73/50.23	          ^[X0]:
340.73/50.23	            all_of(^[X1]: in(X1,rat),
340.73/50.23	                   ^[X1]: (d_not(rt_moreis(X0,X1)) => rt_less(X0,X1)))))).
340.73/50.23	tff(zf_stmt_0, conjecture,
340.73/50.23	  (![X4]:
340.73/50.23	     (is_of(X4,^[V_1]: in(V_1,ect(frac,n_eq))) =>
340.73/50.23	      (![X6]:
340.73/50.23	         (is_of(X6,^[V_2]: in(V_2,ect(frac,n_eq))) =>
340.73/50.23	          ((~((~rt_more(X4,X6)) => (X4 = X6))) =>
340.73/50.23	           l_some(frac,
340.73/50.23	                  ^[V_3]:
340.73/50.23	                    l_some(frac,
340.73/50.23	                           ^[V_4]:
340.73/50.23	                             and3(inf(V_3,class(X4)),inf(V_4,class(X6)),
340.73/50.23	                                  lessf(V_3,V_4)))))))))).
340.73/50.23	tff(zf_stmt_1, negated_conjecture,
340.73/50.23	  (~
340.73/50.23	    (![X4]:
340.73/50.23	       (is_of(X4,^[V_1]: in(V_1,ect(frac,n_eq))) =>
340.73/50.23	        (![X6]:
340.73/50.23	           (is_of(X6,^[V_2]: in(V_2,ect(frac,n_eq))) =>
340.73/50.23	            ((~((~rt_more(X4,X6)) => (X4 = X6))) =>
340.73/50.23	             l_some(frac,
340.73/50.23	                    ^[V_3]:
340.73/50.23	                      l_some(frac,
340.73/50.23	                             ^[V_4]:
340.73/50.23	                               and3(inf(V_3,class(X4)),inf(V_4,class(X6)),
340.73/50.23	                                    lessf(V_3,V_4))))))))))).
340.73/50.23	tff('18', plain,
340.73/50.23	    ~ (!!((^[Y0 : $i]:
340.73/50.23	             (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	              (!!((^[Y1 : $i]:
340.73/50.23	                     (is_of(Y1, (^[Y2 : $i]: in(Y2, ect(frac, n_eq)))) =>
340.73/50.23	                      ((~(((~(rt_more(Y0, Y1))) => (Y0 = Y1)))) =>
340.73/50.23	                       l_some(frac, 
340.73/50.23	                         (^[Y2 : $i]:
340.73/50.23	                            l_some(frac, 
340.73/50.23	                              (^[Y3 : $i]:
340.73/50.23	                                 and3(inf(Y2, class(Y0)), 
340.73/50.23	                                   inf(Y3, class(Y1)), lessf(Y2, Y3))))))))))))))),
340.73/50.23	    inference('cnf', [status(esa)], [zf_stmt_1])).
340.73/50.23	tff('19', plain,
340.73/50.23	    ~ (is_of('#sk35', (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))) =>
340.73/50.23	       (!!((^[Y0 : $i]:
340.73/50.23	              (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	               ((~(((~(rt_more('#sk35', Y0))) => ('#sk35' = Y0)))) =>
340.73/50.23	                l_some(frac, 
340.73/50.23	                  (^[Y1 : $i]:
340.73/50.23	                     l_some(frac, 
340.73/50.23	                       (^[Y2 : $i]:
340.73/50.23	                          and3(inf(Y1, class('#sk35')), inf(Y2, class(Y0)), 
340.73/50.23	                            lessf(Y1, Y2)))))))))))),
340.73/50.23	    inference('lazy_cnf_exists', [status(thm)], ['18'])).
340.73/50.23	tff('20', plain,
340.73/50.23	    ~ (!!((^[Y0 : $i]:
340.73/50.23	             (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	              ((~(((~(rt_more('#sk35', Y0))) => ('#sk35' = Y0)))) =>
340.73/50.23	               l_some(frac, 
340.73/50.23	                 (^[Y1 : $i]:
340.73/50.23	                    l_some(frac, 
340.73/50.23	                      (^[Y2 : $i]:
340.73/50.23	                         and3(inf(Y1, class('#sk35')), inf(Y2, class(Y0)), 
340.73/50.23	                           lessf(Y1, Y2))))))))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['19'])).
340.73/50.23	tff('21', plain,
340.73/50.23	    ~ (is_of('#sk36', (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))) =>
340.73/50.23	       ((~(((~(rt_more('#sk35', '#sk36'))) => ('#sk35' = '#sk36')))) =>
340.73/50.23	        l_some(frac, 
340.73/50.23	          (^[Y0 : $i]:
340.73/50.23	             l_some(frac, 
340.73/50.23	               (^[Y1 : $i]:
340.73/50.23	                  and3(inf(Y0, class('#sk35')), inf(Y1, class('#sk36')), 
340.73/50.23	                    lessf(Y0, Y1)))))))),
340.73/50.23	    inference('lazy_cnf_exists', [status(thm)], ['20'])).
340.73/50.23	tff('22', plain,  is_of('#sk36', (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['21'])).
340.73/50.23	tff('23', plain,  is_of('#sk35', (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['19'])).
340.73/50.23	tff(satz81f, axiom,
340.73/50.23	  (all_of(^[X0]: in(X0,rat),
340.73/50.23	          ^[X0]:
340.73/50.23	            all_of(^[X1]: in(X1,rat),
340.73/50.23	                   ^[X1]: (d_not(rt_less(X0,X1)) => rt_moreis(X0,X1)))))).
340.73/50.23	tff(zf_stmt_2, axiom,
340.73/50.23	  (![X4]:
340.73/50.23	     (is_of(X4,^[V_1]: in(V_1,ect(frac,n_eq))) =>
340.73/50.23	      (![X6]:
340.73/50.23	         (is_of(X6,^[V_2]: in(V_2,ect(frac,n_eq))) =>
340.73/50.23	          ((~
340.73/50.23	             l_some(frac,
340.73/50.23	                    ^[V_3]:
340.73/50.23	                      l_some(frac,
340.73/50.23	                             ^[V_4]:
340.73/50.23	                               and3(inf(V_3,class(X4)),inf(V_4,class(X6)),
340.73/50.23	                                    lessf(V_3,V_4))))) =>
340.73/50.23	           ((~rt_more(X4,X6)) => (X4 = X6)))))))).
340.73/50.23	tff('24', plain,
340.73/50.23	     (!!((^[Y0 : $i]:
340.73/50.23	            (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	             (!!((^[Y1 : $i]:
340.73/50.23	                    (is_of(Y1, (^[Y2 : $i]: in(Y2, ect(frac, n_eq)))) =>
340.73/50.23	                     ((~(l_some(frac, 
340.73/50.23	                           (^[Y2 : $i]:
340.73/50.23	                              l_some(frac, 
340.73/50.23	                                (^[Y3 : $i]:
340.73/50.23	                                   and3(inf(Y2, class(Y0)), 
340.73/50.23	                                     inf(Y3, class(Y1)), lessf(Y2, Y3)))))))) =>
340.73/50.23	                      ((~(rt_more(Y0, Y1))) => (Y0 = Y1))))))))))),
340.73/50.23	    inference('cnf', [status(esa)], [zf_stmt_2])).
340.73/50.23	tff('25', plain,
340.73/50.23	    ![X1]:
340.73/50.23	       (is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))) =>
340.73/50.23	        (!!((^[Y0 : $i]:
340.73/50.23	               (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	                ((~(l_some(frac, 
340.73/50.23	                      (^[Y1 : $i]:
340.73/50.23	                         l_some(frac, 
340.73/50.23	                           (^[Y2 : $i]:
340.73/50.23	                              and3(inf(Y1, class(X1)), inf(Y2, class(Y0)), 
340.73/50.23	                                lessf(Y1, Y2)))))))) =>
340.73/50.23	                 ((~(rt_more(X1, Y0))) => (X1 = Y0)))))))),
340.73/50.23	    inference('lazy_cnf_forall', [status(thm)], ['24'])).
340.73/50.23	tff('26', plain,
340.73/50.23	    ![X1]:
340.73/50.23	      (~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       |  (!!((^[Y0 : $i]:
340.73/50.23	                 (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	                  ((~(l_some(frac, 
340.73/50.23	                        (^[Y1 : $i]:
340.73/50.23	                           l_some(frac, 
340.73/50.23	                             (^[Y2 : $i]:
340.73/50.23	                                and3(inf(Y1, class(X1)), inf(Y2, class(Y0)), 
340.73/50.23	                                  lessf(Y1, Y2)))))))) =>
340.73/50.23	                   ((~(rt_more(X1, Y0))) => (X1 = Y0)))))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['25'])).
340.73/50.23	tff('27', plain,
340.73/50.23	    ![X1, X2]:
340.73/50.23	      ( (is_of(X2, (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))) =>
340.73/50.23	         ((~(l_some(frac, 
340.73/50.23	               (^[Y0 : $i]:
340.73/50.23	                  l_some(frac, 
340.73/50.23	                    (^[Y1 : $i]:
340.73/50.23	                       and3(inf(Y0, class(X1)), inf(Y1, class(X2)), 
340.73/50.23	                         lessf(Y0, Y1)))))))) =>
340.73/50.23	          ((~(rt_more(X1, X2))) => (X1 = X2))))
340.73/50.23	       | ~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))),
340.73/50.23	    inference('lazy_cnf_forall', [status(thm)], ['26'])).
340.73/50.23	tff('28', plain,
340.73/50.23	    ![X1, X2]:
340.73/50.23	      (~ is_of(X2, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       |  ((~(l_some(frac, 
340.73/50.23	                (^[Y0 : $i]:
340.73/50.23	                   l_some(frac, 
340.73/50.23	                     (^[Y1 : $i]:
340.73/50.23	                        and3(inf(Y0, class(X1)), inf(Y1, class(X2)), 
340.73/50.23	                          lessf(Y0, Y1)))))))) =>
340.73/50.23	           ((~(rt_more(X1, X2))) => (X1 = X2)))
340.73/50.23	       | ~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['27'])).
340.73/50.23	tff('29', plain,
340.73/50.23	    ![X1, X2]:
340.73/50.23	      ( l_some(frac, 
340.73/50.23	          (^[Y0 : $i]:
340.73/50.23	             l_some(frac, 
340.73/50.23	               (^[Y1 : $i]:
340.73/50.23	                  and3(inf(Y0, class(X1)), inf(Y1, class(X2)), lessf(Y0, Y1))))))
340.73/50.23	       |  ((~(rt_more(X1, X2))) => (X1 = X2))
340.73/50.23	       | ~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       | ~ is_of(X2, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['28'])).
340.73/50.23	tff('30', plain,
340.73/50.23	    ![X1, X2]:
340.73/50.23	      ( rt_more(X1, X2)
340.73/50.23	       | X1 = X2
340.73/50.23	       | ~ is_of(X2, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       | ~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       |  l_some(frac, 
340.73/50.23	            (^[Y0 : $i]:
340.73/50.23	               l_some(frac, 
340.73/50.23	                 (^[Y1 : $i]:
340.73/50.23	                    and3(inf(Y0, class(X1)), inf(Y1, class(X2)), 
340.73/50.23	                      lessf(Y0, Y1))))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['29'])).
340.73/50.23	tff('31', plain,
340.73/50.23	    ![X0]:
340.73/50.23	      ( l_some(frac, 
340.73/50.23	          (^[Y0 : $i]:
340.73/50.23	             l_some(frac, 
340.73/50.23	               (^[Y1 : $i]:
340.73/50.23	                  and3(inf(Y0, class(X0)), inf(Y1, class('#sk35')), 
340.73/50.23	                    lessf(Y0, Y1))))))
340.73/50.23	       | ~ is_of(X0, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       | X0 = '#sk35'
340.73/50.23	       |  rt_more(X0, '#sk35')),
340.73/50.23	    inference('sup-', [status(thm)], ['23', '30'])).
340.73/50.23	tff('32', plain,
340.73/50.23	    ( rt_more('#sk36', '#sk35')
340.73/50.23	     | '#sk36' = '#sk35'
340.73/50.23	     |  l_some(frac, 
340.73/50.23	          (^[Y0 : $i]:
340.73/50.23	             l_some(frac, 
340.73/50.23	               (^[Y1 : $i]:
340.73/50.23	                  and3(inf(Y0, class('#sk36')), inf(Y1, class('#sk35')), 
340.73/50.23	                    lessf(Y0, Y1))))))),
340.73/50.23	    inference('sup-', [status(thm)], ['22', '31'])).
340.73/50.23	tff('33', plain,
340.73/50.23	    ~ ((~(((~(rt_more('#sk35', '#sk36'))) => ('#sk35' = '#sk36')))) =>
340.73/50.23	       l_some(frac, 
340.73/50.23	         (^[Y0 : $i]:
340.73/50.23	            l_some(frac, 
340.73/50.23	              (^[Y1 : $i]:
340.73/50.23	                 and3(inf(Y0, class('#sk35')), inf(Y1, class('#sk36')), 
340.73/50.23	                   lessf(Y0, Y1))))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['21'])).
340.73/50.23	tff('34', plain, ~ ((~(rt_more('#sk35', '#sk36'))) => ('#sk35' = '#sk36')),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['33'])).
340.73/50.23	tff('35', plain, '#sk35' != '#sk36',
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['34'])).
340.73/50.23	tff('36', plain,
340.73/50.23	    ( rt_more('#sk36', '#sk35')
340.73/50.23	     |  l_some(frac, 
340.73/50.23	          (^[Y0 : $i]:
340.73/50.23	             l_some(frac, 
340.73/50.23	               (^[Y1 : $i]:
340.73/50.23	                  and3(inf(Y0, class('#sk36')), inf(Y1, class('#sk35')), 
340.73/50.23	                    lessf(Y0, Y1))))))),
340.73/50.23	    inference('simplify_reflect-', [status(thm)], ['32', '35'])).
340.73/50.23	tff('37', plain,  is_of('#sk35', (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['19'])).
340.73/50.23	tff('38', plain,  is_of('#sk36', (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['21'])).
340.73/50.23	tff(satz83, axiom,
340.73/50.23	  (all_of(^[X0]: in(X0,rat),
340.73/50.23	          ^[X0]:
340.73/50.23	            all_of(^[X1]: in(X1,rat),
340.73/50.23	                   ^[X1]: (rt_less(X0,X1) => rt_more(X1,X0)))))).
340.73/50.23	tff(zf_stmt_3, axiom,
340.73/50.23	  (![X4]:
340.73/50.23	     (is_of(X4,^[V_1]: in(V_1,ect(frac,n_eq))) =>
340.73/50.23	      (![X6]:
340.73/50.23	         (is_of(X6,^[V_2]: in(V_2,ect(frac,n_eq))) =>
340.73/50.23	          (l_some(frac,
340.73/50.23	                  ^[V_3]:
340.73/50.23	                    l_some(frac,
340.73/50.23	                           ^[V_4]:
340.73/50.23	                             and3(inf(V_3,class(X4)),inf(V_4,class(X6)),
340.73/50.23	                                  lessf(V_3,V_4)))) =>
340.73/50.23	           rt_more(X6,X4))))))).
340.73/50.23	tff('39', plain,
340.73/50.23	     (!!((^[Y0 : $i]:
340.73/50.23	            (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	             (!!((^[Y1 : $i]:
340.73/50.23	                    (is_of(Y1, (^[Y2 : $i]: in(Y2, ect(frac, n_eq)))) =>
340.73/50.23	                     (l_some(frac, 
340.73/50.23	                        (^[Y2 : $i]:
340.73/50.23	                           l_some(frac, 
340.73/50.23	                             (^[Y3 : $i]:
340.73/50.23	                                and3(inf(Y2, class(Y0)), inf(Y3, class(Y1)), 
340.73/50.23	                                  lessf(Y2, Y3)))))) =>
340.73/50.23	                      rt_more(Y1, Y0)))))))))),
340.73/50.23	    inference('cnf', [status(esa)], [zf_stmt_3])).
340.73/50.23	tff('40', plain,
340.73/50.23	    ![X1]:
340.73/50.23	       (is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))) =>
340.73/50.23	        (!!((^[Y0 : $i]:
340.73/50.23	               (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	                (l_some(frac, 
340.73/50.23	                   (^[Y1 : $i]:
340.73/50.23	                      l_some(frac, 
340.73/50.23	                        (^[Y2 : $i]:
340.73/50.23	                           and3(inf(Y1, class(X1)), inf(Y2, class(Y0)), 
340.73/50.23	                             lessf(Y1, Y2)))))) =>
340.73/50.23	                 rt_more(Y0, X1))))))),
340.73/50.23	    inference('lazy_cnf_forall', [status(thm)], ['39'])).
340.73/50.23	tff('41', plain,
340.73/50.23	    ![X1]:
340.73/50.23	      (~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       |  (!!((^[Y0 : $i]:
340.73/50.23	                 (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	                  (l_some(frac, 
340.73/50.23	                     (^[Y1 : $i]:
340.73/50.23	                        l_some(frac, 
340.73/50.23	                          (^[Y2 : $i]:
340.73/50.23	                             and3(inf(Y1, class(X1)), inf(Y2, class(Y0)), 
340.73/50.23	                               lessf(Y1, Y2)))))) =>
340.73/50.23	                   rt_more(Y0, X1))))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['40'])).
340.73/50.23	tff('42', plain,
340.73/50.23	    ![X1, X2]:
340.73/50.23	      ( (is_of(X2, (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))) =>
340.73/50.23	         (l_some(frac, 
340.73/50.23	            (^[Y0 : $i]:
340.73/50.23	               l_some(frac, 
340.73/50.23	                 (^[Y1 : $i]:
340.73/50.23	                    and3(inf(Y0, class(X1)), inf(Y1, class(X2)), 
340.73/50.23	                      lessf(Y0, Y1)))))) =>
340.73/50.23	          rt_more(X2, X1)))
340.73/50.23	       | ~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))),
340.73/50.23	    inference('lazy_cnf_forall', [status(thm)], ['41'])).
340.73/50.23	tff('43', plain,
340.73/50.23	    ![X1, X2]:
340.73/50.23	      (~ is_of(X2, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       |  (l_some(frac, 
340.73/50.23	             (^[Y0 : $i]:
340.73/50.23	                l_some(frac, 
340.73/50.23	                  (^[Y1 : $i]:
340.73/50.23	                     and3(inf(Y0, class(X1)), inf(Y1, class(X2)), 
340.73/50.23	                       lessf(Y0, Y1)))))) =>
340.73/50.23	           rt_more(X2, X1))
340.73/50.23	       | ~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['42'])).
340.73/50.23	tff('44', plain,
340.73/50.23	    ![X1, X2]:
340.73/50.23	      (~ l_some(frac, 
340.73/50.23	           (^[Y0 : $i]:
340.73/50.23	              l_some(frac, 
340.73/50.23	                (^[Y1 : $i]:
340.73/50.23	                   and3(inf(Y0, class(X1)), inf(Y1, class(X2)), 
340.73/50.23	                     lessf(Y0, Y1))))))
340.73/50.23	       |  rt_more(X2, X1)
340.73/50.23	       | ~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       | ~ is_of(X2, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['43'])).
340.73/50.23	tff('45', plain,
340.73/50.23	    ![X0]:
340.73/50.23	      (~ is_of(X0, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       |  rt_more(X0, '#sk36')
340.73/50.23	       | ~ l_some(frac, 
340.73/50.23	             (^[Y0 : $i]:
340.73/50.23	                l_some(frac, 
340.73/50.23	                  (^[Y1 : $i]:
340.73/50.23	                     and3(inf(Y0, class('#sk36')), inf(Y1, class(X0)), 
340.73/50.23	                       lessf(Y0, Y1))))))),
340.73/50.23	    inference('sup-', [status(thm)], ['38', '44'])).
340.73/50.23	tff('46', plain,
340.73/50.23	    (~ l_some(frac, 
340.73/50.23	         (^[Y0 : $i]:
340.73/50.23	            l_some(frac, 
340.73/50.23	              (^[Y1 : $i]:
340.73/50.23	                 and3(inf(Y0, class('#sk36')), inf(Y1, class('#sk35')), 
340.73/50.23	                   lessf(Y0, Y1))))))
340.73/50.23	     |  rt_more('#sk35', '#sk36')),
340.73/50.23	    inference('sup-', [status(thm)], ['37', '45'])).
340.73/50.23	tff('47', plain, ~ rt_more('#sk35', '#sk36'),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['34'])).
340.73/50.23	tff('48', plain,
340.73/50.23	    ~ l_some(frac, 
340.73/50.23	        (^[Y0 : $i]:
340.73/50.23	           l_some(frac, 
340.73/50.23	             (^[Y1 : $i]:
340.73/50.23	                and3(inf(Y0, class('#sk36')), inf(Y1, class('#sk35')), 
340.73/50.23	                  lessf(Y0, Y1)))))),
340.73/50.23	    inference('demod', [status(thm)], ['46', '47'])).
340.73/50.23	tff('49', plain,  rt_more('#sk36', '#sk35'),
340.73/50.23	    inference('clc', [status(thm)], ['36', '48'])).
340.73/50.23	tff(satz82, axiom,
340.73/50.23	  (all_of(^[X0]: in(X0,rat),
340.73/50.23	          ^[X0]:
340.73/50.23	            all_of(^[X1]: in(X1,rat),
340.73/50.23	                   ^[X1]: (rt_more(X0,X1) => rt_less(X1,X0)))))).
340.73/50.23	tff(zf_stmt_4, axiom,
340.73/50.23	  (![X4]:
340.73/50.23	     (is_of(X4,^[V_1]: in(V_1,ect(frac,n_eq))) =>
340.73/50.23	      (![X6]:
340.73/50.23	         (is_of(X6,^[V_2]: in(V_2,ect(frac,n_eq))) =>
340.73/50.23	          (rt_more(X4,X6) =>
340.73/50.23	           l_some(frac,
340.73/50.23	                  ^[V_3]:
340.73/50.23	                    l_some(frac,
340.73/50.23	                           ^[V_4]:
340.73/50.23	                             and3(inf(V_3,class(X6)),inf(V_4,class(X4)),
340.73/50.23	                                  lessf(V_3,V_4)))))))))).
340.73/50.23	tff('50', plain,
340.73/50.23	     (!!((^[Y0 : $i]:
340.73/50.23	            (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	             (!!((^[Y1 : $i]:
340.73/50.23	                    (is_of(Y1, (^[Y2 : $i]: in(Y2, ect(frac, n_eq)))) =>
340.73/50.23	                     (rt_more(Y0, Y1) =>
340.73/50.23	                      l_some(frac, 
340.73/50.23	                        (^[Y2 : $i]:
340.73/50.23	                           l_some(frac, 
340.73/50.23	                             (^[Y3 : $i]:
340.73/50.23	                                and3(inf(Y2, class(Y1)), inf(Y3, class(Y0)), 
340.73/50.23	                                  lessf(Y2, Y3))))))))))))))),
340.73/50.23	    inference('cnf', [status(esa)], [zf_stmt_4])).
340.73/50.23	tff('51', plain,
340.73/50.23	    ![X1]:
340.73/50.23	       (is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))) =>
340.73/50.23	        (!!((^[Y0 : $i]:
340.73/50.23	               (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	                (rt_more(X1, Y0) =>
340.73/50.23	                 l_some(frac, 
340.73/50.23	                   (^[Y1 : $i]:
340.73/50.23	                      l_some(frac, 
340.73/50.23	                        (^[Y2 : $i]:
340.73/50.23	                           and3(inf(Y1, class(Y0)), inf(Y2, class(X1)), 
340.73/50.23	                             lessf(Y1, Y2)))))))))))),
340.73/50.23	    inference('lazy_cnf_forall', [status(thm)], ['50'])).
340.73/50.23	tff('52', plain,
340.73/50.23	    ![X1]:
340.73/50.23	      (~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       |  (!!((^[Y0 : $i]:
340.73/50.23	                 (is_of(Y0, (^[Y1 : $i]: in(Y1, ect(frac, n_eq)))) =>
340.73/50.23	                  (rt_more(X1, Y0) =>
340.73/50.23	                   l_some(frac, 
340.73/50.23	                     (^[Y1 : $i]:
340.73/50.23	                        l_some(frac, 
340.73/50.23	                          (^[Y2 : $i]:
340.73/50.23	                             and3(inf(Y1, class(Y0)), inf(Y2, class(X1)), 
340.73/50.23	                               lessf(Y1, Y2)))))))))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['51'])).
340.73/50.23	tff('53', plain,
340.73/50.23	    ![X1, X2]:
340.73/50.23	      ( (is_of(X2, (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))) =>
340.73/50.23	         (rt_more(X1, X2) =>
340.73/50.23	          l_some(frac, 
340.73/50.23	            (^[Y0 : $i]:
340.73/50.23	               l_some(frac, 
340.73/50.23	                 (^[Y1 : $i]:
340.73/50.23	                    and3(inf(Y0, class(X2)), inf(Y1, class(X1)), 
340.73/50.23	                      lessf(Y0, Y1))))))))
340.73/50.23	       | ~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))),
340.73/50.23	    inference('lazy_cnf_forall', [status(thm)], ['52'])).
340.73/50.23	tff('54', plain,
340.73/50.23	    ![X1, X2]:
340.73/50.23	      (~ is_of(X2, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       |  (rt_more(X1, X2) =>
340.73/50.23	           l_some(frac, 
340.73/50.23	             (^[Y0 : $i]:
340.73/50.23	                l_some(frac, 
340.73/50.23	                  (^[Y1 : $i]:
340.73/50.23	                     and3(inf(Y0, class(X2)), inf(Y1, class(X1)), 
340.73/50.23	                       lessf(Y0, Y1)))))))
340.73/50.23	       | ~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['53'])).
340.73/50.23	tff('55', plain,
340.73/50.23	    ![X1, X2]:
340.73/50.23	      (~ rt_more(X1, X2)
340.73/50.23	       |  l_some(frac, 
340.73/50.23	            (^[Y0 : $i]:
340.73/50.23	               l_some(frac, 
340.73/50.23	                 (^[Y1 : $i]:
340.73/50.23	                    and3(inf(Y0, class(X2)), inf(Y1, class(X1)), 
340.73/50.23	                      lessf(Y0, Y1))))))
340.73/50.23	       | ~ is_of(X1, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	       | ~ is_of(X2, (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['54'])).
340.73/50.23	tff('56', plain,
340.73/50.23	    (~ is_of('#sk35', (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	     | ~ is_of('#sk36', (^[Y0 : $i]: in(Y0, ect(frac, n_eq))))
340.73/50.23	     |  l_some(frac, 
340.73/50.23	          (^[Y0 : $i]:
340.73/50.23	             l_some(frac, 
340.73/50.23	               (^[Y1 : $i]:
340.73/50.23	                  and3(inf(Y0, class('#sk35')), inf(Y1, class('#sk36')), 
340.73/50.23	                    lessf(Y0, Y1))))))),
340.73/50.23	    inference('sup-', [status(thm)], ['49', '55'])).
340.73/50.23	tff('57', plain,  is_of('#sk35', (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['19'])).
340.73/50.23	tff('58', plain,  is_of('#sk36', (^[Y0 : $i]: in(Y0, ect(frac, n_eq)))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['21'])).
340.73/50.23	tff('59', plain,
340.73/50.23	    ~ l_some(frac, 
340.73/50.23	        (^[Y0 : $i]:
340.73/50.23	           l_some(frac, 
340.73/50.23	             (^[Y1 : $i]:
340.73/50.23	                and3(inf(Y0, class('#sk35')), inf(Y1, class('#sk36')), 
340.73/50.23	                  lessf(Y0, Y1)))))),
340.73/50.23	    inference('lazy_cnf_imply', [status(thm)], ['33'])).
340.73/50.23	tff('60', plain, $false,
340.73/50.23	    inference('demod', [status(thm)], ['56', '57', '58', '59'])).
340.73/50.23	
340.73/50.23	% SZS output end Refutation
340.73/50.23	
340.73/50.23	
340.73/50.23	% Terminating...
341.30/50.42	% Runner terminated.
341.30/50.43	% Zipperpin 1.5 exiting
341.30/50.43	EOF