0.08/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.16	% Command    : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.RnmDXDIIUx
0.15/0.37	% Computer   : n012.cluster.edu
0.15/0.37	% Model      : x86_64 x86_64
0.15/0.37	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.37	% Memory     : 8042.1875MB
0.15/0.37	% OS         : Linux 3.10.0-693.el7.x86_64
0.15/0.37	% CPULimit   : 1200
0.15/0.37	% DateTime   : Tue Jul 13 15:58:46 EDT 2021
0.15/0.37	% CPUTime    : 
0.15/0.37	% Running portfolio for 120 s
0.15/0.37	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.15/0.37	% Number of cores: 8
0.15/0.38	% Python version: Python 3.6.8
0.15/0.38	% Running in HO mode
0.59/0.67	% Estimated wc time : 1286
0.59/0.67	% Estimated cpu time (7 cpus) : 183.71428571428572
0.60/0.73	% /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s
0.60/0.73	% /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s
0.60/0.76	% /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s
0.60/0.77	% /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s
0.60/0.77	% /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s
0.60/0.77	% /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s
0.60/0.78	% /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s
21.99/3.82	% Solved by lams/c.s.2.sh.
21.99/3.82	% done 2324 iterations in 3.017s
21.99/3.82	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
21.99/3.82	% SZS output start Refutation
21.99/3.82	tff(def_lessis, axiom, lessis() = ^[X0,X1]: l_or(iii(X0,X1),n_is(X0,X1))).
21.99/3.82	tff(def_iii, axiom, iii() = ^[X0,X1]: n_some(diffprop(X1,X0))).
21.99/3.82	tff(def_diffprop, axiom, diffprop() = ^[X0,X1,X2]: n_is(X0,n_pl(X1,X2))).
21.99/3.82	tff(def_n_is, axiom, n_is() = e_is(nat)).
21.99/3.82	tff(def_nat, axiom, nat() = d_Sep(omega,^[X0]: (X0 != emptyset))).
21.99/3.82	tff('0', plain, nat = d_Sep(omega,^[X0]: (X0 != emptyset)),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)], [def_nat])).
21.99/3.82	tff('1', plain, nat = d_Sep(omega,^[V_1]: (V_1 != emptyset)),
21.99/3.82	    define([status(thm)])).
21.99/3.82	tff(def_e_is, axiom, e_is() = ^[X0,X,Y]: (X = Y)).
21.99/3.82	tff('2', plain, e_is = (^[X0,X,Y]: (X = Y)),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)], [def_e_is])).
21.99/3.82	tff('3', plain, e_is = (^[V_1,V_2,V_3]: (V_2 = V_3)), define([status(thm)])).
21.99/3.82	tff('4', plain, n_is = e_is(nat),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)], [def_n_is, '1', '3'])).
21.99/3.82	tff('5', plain, n_is = e_is(nat), define([status(thm)])).
21.99/3.82	tff('6', plain, diffprop = (^[X0,X1,X2]: n_is(X0,n_pl(X1,X2))),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)],
21.99/3.82	              [def_diffprop, '5', '1', '3'])).
21.99/3.82	tff('7', plain, diffprop = (^[V_1,V_2,V_3]: n_is(V_1,n_pl(V_2,V_3))),
21.99/3.82	    define([status(thm)])).
21.99/3.82	tff(def_n_some, axiom, n_some() = l_some(nat)).
21.99/3.82	tff('8', plain, n_some = l_some(nat),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)], [def_n_some, '1'])).
21.99/3.82	tff('9', plain, n_some = l_some(nat), define([status(thm)])).
21.99/3.82	tff('10', plain, iii = (^[X0,X1]: n_some(diffprop(X1,X0))),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)],
21.99/3.82	              [def_iii, '7', '9', '5', '1', '3'])).
21.99/3.82	tff('11', plain, iii = (^[V_1,V_2]: n_some(diffprop(V_2,V_1))),
21.99/3.82	    define([status(thm)])).
21.99/3.82	tff(def_l_or, axiom, l_or() = ^[X0:$o]: imp(d_not(X0))).
21.99/3.82	tff(def_d_not, axiom, d_not() = ^[X0:$o]: imp(X0,$false)).
21.99/3.82	tff(def_imp, axiom, imp() = ^[X0:$o,X1:$o]: (X0 => X1)).
21.99/3.82	tff('12', plain, imp = (^[X0:$o,X1:$o]: (X0 => X1)),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)], [def_imp])).
21.99/3.82	tff('13', plain, imp = (^[V_1:$o,V_2:$o]: (V_1 => V_2)),
21.99/3.82	    define([status(thm)])).
21.99/3.82	tff('14', plain, d_not = (^[X0:$o]: imp(X0,$false)),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)], [def_d_not, '13'])).
21.99/3.82	tff('15', plain, d_not = (^[V_1:$o]: imp(V_1,$false)), define([status(thm)])).
21.99/3.82	tff('16', plain, l_or = (^[X0:$o]: imp(d_not(X0))),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)], [def_l_or, '15', '13'])).
21.99/3.82	tff('17', plain, l_or = (^[V_1:$o]: imp(d_not(V_1))), define([status(thm)])).
21.99/3.82	tff('18', plain, lessis = (^[X0,X1]: l_or(iii(X0,X1),n_is(X0,X1))),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)],
21.99/3.82	              [def_lessis, '11', '7', '9', '5', '1', '3', '17', '15', '13'])).
21.99/3.82	tff('19', plain, lessis = (^[V_1,V_2]: l_or(iii(V_1,V_2),n_is(V_1,V_2))),
21.99/3.82	    define([status(thm)])).
21.99/3.82	tff(def_d_29_ii, axiom, d_29_ii() = ^[X0,X1]: n_some(diffprop(X0,X1))).
21.99/3.82	tff('20', plain, d_29_ii = (^[X0,X1]: n_some(diffprop(X0,X1))),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)],
21.99/3.82	              [def_d_29_ii, '7', '9', '5', '1', '3'])).
21.99/3.82	tff('21', plain, d_29_ii = (^[V_1,V_2]: n_some(diffprop(V_1,V_2))),
21.99/3.82	    define([status(thm)])).
21.99/3.82	tff(def_all_of, axiom, all_of() =
21.99/3.82	  ^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))).
21.99/3.82	tff('22', plain,
21.99/3.82	    all_of =
21.99/3.82	    (^[X0:(($i > $o)),X1:(($i > $o))]: (![X2]: (is_of(X2,X0) => X1(X2)))),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)], [def_all_of])).
21.99/3.82	tff('23', plain,
21.99/3.82	    all_of =
21.99/3.82	    (^[V_1:(($i > $o)),V_2:(($i > $o))]: (![X4]: (is_of(X4,V_1) => V_2(X4)))),
21.99/3.82	    define([status(thm)])).
21.99/3.82	tff(satz10d, conjecture,
21.99/3.82	  (all_of(^[X0]: in(X0,nat),
21.99/3.82	          ^[X0]:
21.99/3.82	            all_of(^[X1]: in(X1,nat),
21.99/3.82	                   ^[X1]: (lessis(X0,X1) => d_not(d_29_ii(X0,X1))))))).
21.99/3.82	tff(zf_stmt_0, conjecture,
21.99/3.82	  (![X4]:
21.99/3.82	     (is_of(X4,^[V_1]: in(V_1,d_Sep(omega,^[V_2]: (V_2 != emptyset)))) =>
21.99/3.82	      (![X6]:
21.99/3.82	         (is_of(X6,^[V_3]: in(V_3,d_Sep(omega,^[V_4]: (V_4 != emptyset)))) =>
21.99/3.82	          (((~
21.99/3.82	              l_some(d_Sep(omega,^[V_5]: (V_5 != emptyset)),
21.99/3.82	                     ^[V_6]: (X6 = n_pl(X4,V_6)))) =>
21.99/3.82	            (X4 = X6)) =>
21.99/3.82	           (~
21.99/3.82	             l_some(d_Sep(omega,^[V_7]: (V_7 != emptyset)),
21.99/3.82	                    ^[V_8]: (X4 = n_pl(X6,V_8)))))))))).
21.99/3.82	tff(zf_stmt_1, negated_conjecture,
21.99/3.82	  (~
21.99/3.82	    (![X4]:
21.99/3.82	       (is_of(X4,^[V_1]: in(V_1,d_Sep(omega,^[V_2]: (V_2 != emptyset)))) =>
21.99/3.82	        (![X6]:
21.99/3.82	           (is_of(X6,^[V_3]: in(V_3,d_Sep(omega,^[V_4]: (V_4 != emptyset)))) =>
21.99/3.82	            (((~
21.99/3.82	                l_some(d_Sep(omega,^[V_5]: (V_5 != emptyset)),
21.99/3.82	                       ^[V_6]: (X6 = n_pl(X4,V_6)))) =>
21.99/3.82	              (X4 = X6)) =>
21.99/3.82	             (~
21.99/3.82	               l_some(d_Sep(omega,^[V_7]: (V_7 != emptyset)),
21.99/3.82	                      ^[V_8]: (X4 = n_pl(X6,V_8))))))))))).
21.99/3.82	tff('24', plain,
21.99/3.82	     l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	       (^[Y0 : $i]: (sk_X4 = n_pl(sk_X6, Y0)))),
21.99/3.82	    inference('cnf', [status(esa)], [zf_stmt_1])).
21.99/3.82	tff('25', plain,
21.99/3.82	     is_of(sk_X6, 
21.99/3.82	       (^[Y0 : $i]: in(Y0, d_Sep(omega, (^[Y1 : $i]: (Y1 != emptyset)))))),
21.99/3.82	    inference('cnf', [status(esa)], [zf_stmt_1])).
21.99/3.82	tff(def_moreis, axiom, moreis() = ^[X0,X1]: l_or(d_29_ii(X0,X1),n_is(X0,X1))).
21.99/3.82	tff('26', plain, moreis = (^[X0,X1]: l_or(d_29_ii(X0,X1),n_is(X0,X1))),
21.99/3.82	    inference('simplify_rw_rule', [status(thm)],
21.99/3.82	              [def_moreis, '21', '7', '9', '5', '1', '3', '17', '15', '13'])).
21.99/3.82	tff('27', plain, moreis = (^[V_1,V_2]: l_or(d_29_ii(V_1,V_2),n_is(V_1,V_2))),
21.99/3.82	    define([status(thm)])).
21.99/3.82	tff(satz10c, axiom,
21.99/3.82	  (all_of(^[X0]: in(X0,nat),
21.99/3.82	          ^[X0]:
21.99/3.82	            all_of(^[X1]: in(X1,nat),
21.99/3.82	                   ^[X1]: (moreis(X0,X1) => d_not(iii(X0,X1))))))).
21.99/3.82	tff(zf_stmt_2, axiom,
21.99/3.82	  (![X4]:
21.99/3.82	     (is_of(X4,^[V_1]: in(V_1,d_Sep(omega,^[V_2]: (V_2 != emptyset)))) =>
21.99/3.82	      (![X6]:
21.99/3.82	         (is_of(X6,^[V_3]: in(V_3,d_Sep(omega,^[V_4]: (V_4 != emptyset)))) =>
21.99/3.82	          (((~
21.99/3.82	              l_some(d_Sep(omega,^[V_5]: (V_5 != emptyset)),
21.99/3.82	                     ^[V_6]: (X4 = n_pl(X6,V_6)))) =>
21.99/3.82	            (X4 = X6)) =>
21.99/3.82	           (~
21.99/3.82	             l_some(d_Sep(omega,^[V_7]: (V_7 != emptyset)),
21.99/3.82	                    ^[V_8]: (X6 = n_pl(X4,V_8)))))))))).
21.99/3.82	tff('28', plain,
21.99/3.82	    ![X97, X98]:
21.99/3.82	      (~ is_of(X97, 
21.99/3.82	           (^[Y0 : $i]: in(Y0, d_Sep(omega, (^[Y1 : $i]: (Y1 != emptyset))))))
21.99/3.82	       | ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	             (^[Y0 : $i]: (X97 = n_pl(X98, Y0))))
21.99/3.82	       | X98 != X97
21.99/3.82	       | ~ is_of(X98, 
21.99/3.82	             (^[Y0 : $i]:
21.99/3.82	                in(Y0, d_Sep(omega, (^[Y1 : $i]: (Y1 != emptyset))))))),
21.99/3.82	    inference('cnf', [status(esa)], [zf_stmt_2])).
21.99/3.82	tff('29', plain,
21.99/3.82	    ![X97]:
21.99/3.82	      (~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	           (^[Y0 : $i]: (X97 = n_pl(X97, Y0))))
21.99/3.82	       | ~ is_of(X97, 
21.99/3.82	             (^[Y0 : $i]:
21.99/3.82	                in(Y0, d_Sep(omega, (^[Y1 : $i]: (Y1 != emptyset))))))),
21.99/3.82	    inference('simplify', [status(thm)], ['28'])).
21.99/3.82	tff('30', plain,
21.99/3.82	    ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	        (^[Y0 : $i]: (sk_X6 = n_pl(sk_X6, Y0)))),
21.99/3.82	    inference('sup-', [status(thm)], ['25', '29'])).
21.99/3.82	tff('31', plain,
21.99/3.82	    (^[Y0 : $i]: (sk_X4 = n_pl(sk_X6, Y0)))
21.99/3.82	     != (^[Y0 : $i]: (sk_X6 = n_pl(sk_X6, Y0))),
21.99/3.82	    inference('ext_sup', [status(thm)], ['24', '30'])).
21.99/3.82	tff('32', plain,
21.99/3.82	    (^[Y0 : $i]: (sk_X4 = n_pl(sk_X6, Y0)))('#_fresh_sk1600')
21.99/3.82	     != (^[Y0 : $i]: (sk_X6 = n_pl(sk_X6, Y0)))('#_fresh_sk1600'),
21.99/3.82	    inference('neg_ext', [status(thm)], ['31'])).
21.99/3.82	tff('33', plain,
21.99/3.82	    (sk_X4 = n_pl(sk_X6, '#_fresh_sk1600'))
21.99/3.82	     != (sk_X6 = n_pl(sk_X6, '#_fresh_sk1600')),
21.99/3.82	    inference('ho_norm', [status(thm)], ['32'])).
21.99/3.82	tff('34', plain,
21.99/3.82	    (sk_X6 != n_pl(sk_X6, '#_fresh_sk1600')
21.99/3.82	     | sk_X4 != n_pl(sk_X6, '#_fresh_sk1600')),
21.99/3.82	    inference('cnf_otf', [status(thm)], ['33'])).
21.99/3.82	tff('35', plain,
21.99/3.82	    (sk_X4 = sk_X6
21.99/3.82	     |  l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	          (^[Y0 : $i]: (sk_X6 = n_pl(sk_X4, Y0))))),
21.99/3.82	    inference('cnf', [status(esa)], [zf_stmt_1])).
21.99/3.82	tff('36', plain,
21.99/3.82	     is_of(sk_X4, 
21.99/3.82	       (^[Y0 : $i]: in(Y0, d_Sep(omega, (^[Y1 : $i]: (Y1 != emptyset)))))),
21.99/3.82	    inference('cnf', [status(esa)], [zf_stmt_1])).
21.99/3.82	tff('37', plain,
21.99/3.82	     is_of(sk_X6, 
21.99/3.82	       (^[Y0 : $i]: in(Y0, d_Sep(omega, (^[Y1 : $i]: (Y1 != emptyset)))))),
21.99/3.82	    inference('cnf', [status(esa)], [zf_stmt_1])).
21.99/3.82	tff('38', plain,
21.99/3.82	    ![X97, X98]:
21.99/3.82	      (~ is_of(X97, 
21.99/3.82	           (^[Y0 : $i]: in(Y0, d_Sep(omega, (^[Y1 : $i]: (Y1 != emptyset))))))
21.99/3.82	       | ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	             (^[Y0 : $i]: (X97 = n_pl(X98, Y0))))
21.99/3.82	       | ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	             (^[Y0 : $i]: (X98 = n_pl(X97, Y0))))
21.99/3.82	       | ~ is_of(X98, 
21.99/3.82	             (^[Y0 : $i]:
21.99/3.82	                in(Y0, d_Sep(omega, (^[Y1 : $i]: (Y1 != emptyset))))))),
21.99/3.82	    inference('cnf', [status(esa)], [zf_stmt_2])).
21.99/3.82	tff('39', plain,
21.99/3.82	    ![X0]:
21.99/3.82	      (~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	           (^[Y0 : $i]: (sk_X6 = n_pl(X0, Y0))))
21.99/3.82	       | ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	             (^[Y0 : $i]: (X0 = n_pl(sk_X6, Y0))))
21.99/3.82	       | ~ is_of(X0, 
21.99/3.82	             (^[Y0 : $i]:
21.99/3.82	                in(Y0, d_Sep(omega, (^[Y1 : $i]: (Y1 != emptyset))))))),
21.99/3.82	    inference('sup-', [status(thm)], ['37', '38'])).
21.99/3.82	tff('40', plain,
21.99/3.82	    (~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	         (^[Y0 : $i]: (sk_X4 = n_pl(sk_X6, Y0))))
21.99/3.82	     | ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	           (^[Y0 : $i]: (sk_X6 = n_pl(sk_X4, Y0))))),
21.99/3.82	    inference('sup-', [status(thm)], ['36', '39'])).
21.99/3.82	tff('41', plain,
21.99/3.82	     l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	       (^[Y0 : $i]: (sk_X4 = n_pl(sk_X6, Y0)))),
21.99/3.82	    inference('cnf', [status(esa)], [zf_stmt_1])).
21.99/3.82	tff('42', plain,
21.99/3.82	    ~ l_some(d_Sep(omega, (^[Y0 : $i]: (Y0 != emptyset))), 
21.99/3.82	        (^[Y0 : $i]: (sk_X6 = n_pl(sk_X4, Y0)))),
21.99/3.82	    inference('demod', [status(thm)], ['40', '41'])).
21.99/3.82	tff('43', plain, sk_X4 = sk_X6,
21.99/3.82	    inference('sup-', [status(thm)], ['35', '42'])).
21.99/3.82	tff('44', plain, sk_X4 = sk_X6,
21.99/3.82	    inference('sup-', [status(thm)], ['35', '42'])).
21.99/3.82	tff('45', plain, sk_X4 = sk_X6,
21.99/3.82	    inference('sup-', [status(thm)], ['35', '42'])).
21.99/3.82	tff('46', plain,
21.99/3.82	    (sk_X4 != n_pl(sk_X4, '#_fresh_sk1600')
21.99/3.82	     | sk_X4 != n_pl(sk_X4, '#_fresh_sk1600')),
21.99/3.82	    inference('demod', [status(thm)], ['34', '43', '44', '45'])).
21.99/3.82	tff('47', plain, sk_X4 != n_pl(sk_X4, '#_fresh_sk1600'),
21.99/3.82	    inference('simplify', [status(thm)], ['46'])).
21.99/3.82	tff('48', plain,
21.99/3.82	    (sk_X6 = n_pl(sk_X6, '#_fresh_sk1600')
21.99/3.82	     | sk_X4 = n_pl(sk_X6, '#_fresh_sk1600')),
21.99/3.82	    inference('cnf_otf', [status(thm)], ['33'])).
21.99/3.82	tff('49', plain, sk_X4 = sk_X6,
21.99/3.82	    inference('sup-', [status(thm)], ['35', '42'])).
21.99/3.82	tff('50', plain, sk_X4 = sk_X6,
21.99/3.82	    inference('sup-', [status(thm)], ['35', '42'])).
21.99/3.82	tff('51', plain, sk_X4 = sk_X6,
21.99/3.82	    inference('sup-', [status(thm)], ['35', '42'])).
21.99/3.82	tff('52', plain,
21.99/3.82	    (sk_X4 = n_pl(sk_X4, '#_fresh_sk1600')
21.99/3.82	     | sk_X4 = n_pl(sk_X4, '#_fresh_sk1600')),
21.99/3.82	    inference('demod', [status(thm)], ['48', '49', '50', '51'])).
21.99/3.82	tff('53', plain, sk_X4 = n_pl(sk_X4, '#_fresh_sk1600'),
21.99/3.82	    inference('simplify', [status(thm)], ['52'])).
21.99/3.82	tff('54', plain, sk_X4 != sk_X4,
21.99/3.82	    inference('demod', [status(thm)], ['47', '53'])).
21.99/3.82	tff('55', plain, $false, inference('simplify', [status(thm)], ['54'])).
21.99/3.82	
21.99/3.82	% SZS output end Refutation
21.99/3.82	
21.99/3.82	
21.99/3.82	% Terminating...
22.63/3.89	% Runner terminated.
22.63/3.90	% Zipperpin 1.5 exiting
22.63/3.90	EOF