0.05/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.10	% Command    : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.BP8fGF7Wrw
0.09/0.30	% Computer   : n032.cluster.edu
0.09/0.30	% Model      : x86_64 x86_64
0.09/0.30	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.30	% Memory     : 8042.1875MB
0.09/0.30	% OS         : Linux 3.10.0-693.el7.x86_64
0.09/0.30	% CPULimit   : 1200
0.09/0.30	% DateTime   : Tue Jul 13 14:31:03 EDT 2021
0.09/0.30	% CPUTime    : 
0.09/0.30	% Running portfolio for 120 s
0.09/0.30	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.09/0.30	% Number of cores: 8
0.09/0.30	% Python version: Python 3.6.8
0.09/0.31	% Running in HO mode
0.15/0.52	% Estimated wc time : 1286
0.15/0.52	% Estimated cpu time (7 cpus) : 183.71428571428572
1.09/0.63	% /export/starexec/sandbox2/solver/bin/lams/s6.sh running for 21s
1.09/0.64	% /export/starexec/sandbox2/solver/bin/lams/new_b3.2.norw.sh running for 15s
1.09/0.64	% /export/starexec/sandbox2/solver/bin/lams/b.rpo.sh running for 21s
1.09/0.64	% /export/starexec/sandbox2/solver/bin/lams/s6.ds.sh running for 10s
1.09/0.65	% /export/starexec/sandbox2/solver/bin/lams/c.s.2.sh running for 68s
1.09/0.66	% /export/starexec/sandbox2/solver/bin/lams/old_b3.avatar.sh running for 15s
1.09/0.66	% /export/starexec/sandbox2/solver/bin/lams/c.easy.sh running for 26s
11.59/2.22	% Solved by lams/s6.ds.sh.
11.59/2.22	% done 636 iterations in 1.531s
11.59/2.22	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
11.59/2.22	% SZS output start Refutation
11.59/2.22	tff(mvalid, axiom, mvalid() = ^[Phi:(($i > $o))]: (![W]: Phi(W))).
11.59/2.22	tff('0', plain, mvalid = (^[Phi:(($i > $o))]: (![W]: Phi(W))),
11.59/2.22	    inference('simplify_rw_rule', [status(thm)], [mvalid])).
11.59/2.22	tff('1', plain, mvalid = (^[V_1:(($i > $o))]: (![X4]: V_1(X4))),
11.59/2.22	    define([status(thm)])).
11.59/2.22	tff(mforall_ind, axiom, mforall_ind() =
11.59/2.22	  ^[Phi:((mu * $i) > $o),W]: (![X:mu]: (exists_in_world(X,W) => Phi(X,W)))).
11.59/2.22	tff('2', plain,
11.59/2.22	    mforall_ind =
11.59/2.22	    (^[Phi:((mu * $i) > $o),W]: (![X:mu]: (exists_in_world(X,W) => Phi(X,W)))),
11.59/2.22	    inference('simplify_rw_rule', [status(thm)], [mforall_ind])).
11.59/2.22	tff('3', plain,
11.59/2.22	    mforall_ind =
11.59/2.22	    (^[V_1:((mu * $i) > $o),V_2]:
11.59/2.22	       (![X4:mu]: (exists_in_world(X4,V_2) => V_1(X4,V_2)))),
11.59/2.22	    define([status(thm)])).
11.59/2.22	tff(thI15, conjecture, (mvalid(mforall_ind(^[A:mu]: subset(empty_set,A))))).
11.59/2.22	tff(zf_stmt_0, conjecture,
11.59/2.22	  (![X4,X6:mu]: (exists_in_world(X6,X4) => subset(empty_set,X6,X4)))).
11.59/2.22	tff(zf_stmt_1, negated_conjecture,
11.59/2.22	  (~(![X4,X6:mu]: (exists_in_world(X6,X4) => subset(empty_set,X6,X4))))).
11.59/2.22	tff('4', plain,
11.59/2.22	    ~ (!!((^[Y0 : $i]:
11.59/2.22	             (!!((^[Y1 : mu]:
11.59/2.22	                    (exists_in_world(Y1, Y0) => subset(empty_set, Y1, Y0)))))))),
11.59/2.22	    inference('cnf', [status(esa)], [zf_stmt_1])).
11.59/2.22	tff('5', plain,
11.59/2.22	    ~ (!!((^[Y0 : mu]:
11.59/2.22	             (exists_in_world(Y0, '#sk1') => subset(empty_set, Y0, '#sk1'))))),
11.59/2.22	    inference('lazy_cnf_exists', [status(thm)], ['4'])).
11.59/2.22	tff('6', plain,
11.59/2.22	    ~ (exists_in_world('#sk2', '#sk1') => subset(empty_set, '#sk2', '#sk1')),
11.59/2.22	    inference('lazy_cnf_exists', [status(thm)], ['5'])).
11.59/2.22	tff('7', plain,  exists_in_world('#sk2', '#sk1'),
11.59/2.22	    inference('lazy_cnf_imply', [status(thm)], ['6'])).
11.59/2.22	tff(existence_of_empty_set_ax, axiom, (![V]: exists_in_world(empty_set,V))).
11.59/2.22	tff('8', plain,  (!!((^[Y0 : $i]: exists_in_world(empty_set, Y0)))),
11.59/2.22	    inference('cnf', [status(esa)], [existence_of_empty_set_ax])).
11.59/2.22	tff('9', plain,  (!!(exists_in_world(empty_set))),
11.59/2.22	    inference('ho_norm', [status(thm)], ['8'])).
11.59/2.22	tff('10', plain, ![X1]:  exists_in_world(empty_set, X1),
11.59/2.22	    inference('lazy_cnf_forall', [status(thm)], ['9'])).
11.59/2.22	tff(mequiv, axiom, mequiv() =
11.59/2.22	  ^[Phi:(($i > $o)),Psi:(($i > $o))]:
11.59/2.22	    mand(mimplies(Phi,Psi),mimplies(Psi,Phi))).
11.59/2.22	tff(mimplies, axiom, mimplies() =
11.59/2.22	  ^[Phi:(($i > $o)),Psi:(($i > $o))]: mor(mnot(Phi),Psi)).
11.59/2.22	tff(mor, axiom, mor() =
11.59/2.22	  ^[Phi:(($i > $o)),Psi:(($i > $o)),W]: (Phi(W) | Psi(W))).
11.59/2.22	tff('11', plain,
11.59/2.22	    mor = (^[Phi:(($i > $o)),Psi:(($i > $o)),W]: (Phi(W) | Psi(W))),
11.59/2.22	    inference('simplify_rw_rule', [status(thm)], [mor])).
11.59/2.22	tff('12', plain,
11.59/2.22	    mor = (^[V_1:(($i > $o)),V_2:(($i > $o)),V_3]: (V_1(V_3) | V_2(V_3))),
11.59/2.22	    define([status(thm)])).
11.59/2.22	tff(mnot, axiom, mnot() = ^[Phi:(($i > $o)),W]: (~Phi(W))).
11.59/2.22	tff('13', plain, mnot = (^[Phi:(($i > $o)),W]: (~Phi(W))),
11.59/2.22	    inference('simplify_rw_rule', [status(thm)], [mnot])).
11.59/2.22	tff('14', plain, mnot = (^[V_1:(($i > $o)),V_2]: (~V_1(V_2))),
11.59/2.22	    define([status(thm)])).
11.59/2.22	tff('15', plain,
11.59/2.22	    mimplies = (^[Phi:(($i > $o)),Psi:(($i > $o))]: mor(mnot(Phi),Psi)),
11.59/2.22	    inference('simplify_rw_rule', [status(thm)], [mimplies, '12', '14'])).
11.59/2.22	tff('16', plain,
11.59/2.22	    mimplies = (^[V_1:(($i > $o)),V_2:(($i > $o))]: mor(mnot(V_1),V_2)),
11.59/2.22	    define([status(thm)])).
11.59/2.22	tff(mand, axiom, mand() =
11.59/2.22	  ^[Phi:(($i > $o)),Psi:(($i > $o))]: mnot(mor(mnot(Phi),mnot(Psi)))).
11.59/2.22	tff('17', plain,
11.59/2.22	    mand =
11.59/2.22	    (^[Phi:(($i > $o)),Psi:(($i > $o))]: mnot(mor(mnot(Phi),mnot(Psi)))),
11.59/2.22	    inference('simplify_rw_rule', [status(thm)], [mand, '12', '14'])).
11.59/2.22	tff('18', plain,
11.59/2.22	    mand =
11.59/2.22	    (^[V_1:(($i > $o)),V_2:(($i > $o))]: mnot(mor(mnot(V_1),mnot(V_2)))),
11.59/2.22	    define([status(thm)])).
11.59/2.22	tff('19', plain,
11.59/2.22	    mequiv =
11.59/2.22	    (^[Phi:(($i > $o)),Psi:(($i > $o))]:
11.59/2.22	       mand(mimplies(Phi,Psi),mimplies(Psi,Phi))),
11.59/2.22	    inference('simplify_rw_rule', [status(thm)],
11.59/2.22	              [mequiv, '16', '18', '12', '14'])).
11.59/2.22	tff('20', plain,
11.59/2.22	    mequiv =
11.59/2.22	    (^[V_1:(($i > $o)),V_2:(($i > $o))]:
11.59/2.22	       mand(mimplies(V_1,V_2),mimplies(V_2,V_1))),
11.59/2.22	    define([status(thm)])).
11.59/2.22	tff(subset, axiom,
11.59/2.22	  (mvalid(mforall_ind(^[A:mu]:
11.59/2.22	                        mforall_ind(^[B:mu]:
11.59/2.22	                                      mequiv(subset(A,B),
11.59/2.22	                                             mforall_ind(^[X:mu]:
11.59/2.22	                                                           mimplies(member(
11.59/2.22	                                                                    X,A),
11.59/2.22	                                                                    member(
11.59/2.22	                                                                    X,B))))))))).
11.59/2.22	tff(zf_stmt_2, axiom,
11.59/2.22	  (![X4,X6:mu]:
11.59/2.22	     (exists_in_world(X6,X4) =>
11.59/2.22	      (![X8:mu]:
11.59/2.22	         (exists_in_world(X8,X4) =>
11.59/2.22	          (~
11.59/2.22	            ((~
11.59/2.22	               (subset(X6,X8,X4) | 
11.59/2.22	                (~
11.59/2.22	                  (![X12:mu]:
11.59/2.22	                     (exists_in_world(X12,X4) =>
11.59/2.22	                      (member(X12,X8,X4) | (~member(X12,X6,X4)))))))) | 
11.59/2.22	             (~
11.59/2.22	               ((![X10:mu]:
11.59/2.22	                   (exists_in_world(X10,X4) =>
11.59/2.22	                    (member(X10,X8,X4) | (~member(X10,X6,X4))))) | 
11.59/2.22	                (~subset(X6,X8,X4))))))))))).
11.59/2.22	tff('21', plain,
11.59/2.22	     (!!((^[Y0 : $i]:
11.59/2.22	            (!!((^[Y1 : mu]:
11.59/2.22	                   (exists_in_world(Y1, Y0) =>
11.59/2.22	                    (!!((^[Y2 : mu]:
11.59/2.22	                           (exists_in_world(Y2, Y0) =>
11.59/2.22	                            (~(((~((subset(Y1, Y2, Y0) |
11.59/2.22	                                    (~((!!((^[Y3 : mu]:
11.59/2.22	                                              (exists_in_world(Y3, Y0) =>
11.59/2.22	                                               (member(Y3, Y2, Y0) |
11.59/2.22	                                                (~(member(Y3, Y1, Y0))))))))))))) |
11.59/2.22	                                (~(((!!((^[Y3 : mu]:
11.59/2.22	                                           (exists_in_world(Y3, Y0) =>
11.59/2.22	                                            (member(Y3, Y2, Y0) |
11.59/2.22	                                             (~(member(Y3, Y1, Y0)))))))) |
11.59/2.22	                                    (~(subset(Y1, Y2, Y0)))))))))))))))))))),
11.59/2.22	    inference('cnf', [status(esa)], [zf_stmt_2])).
11.59/2.22	tff('22', plain,
11.59/2.22	    ![X1]:
11.59/2.22	       (!!((^[Y0 : mu]:
11.59/2.22	              (exists_in_world(Y0, X1) =>
11.59/2.22	               (!!((^[Y1 : mu]:
11.59/2.22	                      (exists_in_world(Y1, X1) =>
11.59/2.22	                       (~(((~((subset(Y0, Y1, X1) |
11.59/2.22	                               (~((!!((^[Y2 : mu]:
11.59/2.22	                                         (exists_in_world(Y2, X1) =>
11.59/2.22	                                          (member(Y2, Y1, X1) |
11.59/2.22	                                           (~(member(Y2, Y0, X1))))))))))))) |
11.59/2.22	                           (~(((!!((^[Y2 : mu]:
11.59/2.22	                                      (exists_in_world(Y2, X1) =>
11.59/2.22	                                       (member(Y2, Y1, X1) |
11.59/2.22	                                        (~(member(Y2, Y0, X1)))))))) |
11.59/2.22	                               (~(subset(Y0, Y1, X1))))))))))))))))),
11.59/2.22	    inference('lazy_cnf_forall', [status(thm)], ['21'])).
11.59/2.22	tff('23', plain,
11.59/2.22	    ![X1, X2 : mu]:
11.59/2.22	       (exists_in_world(X2, X1) =>
11.59/2.22	        (!!((^[Y0 : mu]:
11.59/2.22	               (exists_in_world(Y0, X1) =>
11.59/2.22	                (~(((~((subset(X2, Y0, X1) |
11.59/2.22	                        (~((!!((^[Y1 : mu]:
11.59/2.22	                                  (exists_in_world(Y1, X1) =>
11.59/2.22	                                   (member(Y1, Y0, X1) |
11.59/2.22	                                    (~(member(Y1, X2, X1))))))))))))) |
11.59/2.22	                    (~(((!!((^[Y1 : mu]:
11.59/2.22	                               (exists_in_world(Y1, X1) =>
11.59/2.22	                                (member(Y1, Y0, X1) | (~(member(Y1, X2, X1)))))))) |
11.59/2.22	                        (~(subset(X2, Y0, X1)))))))))))))),
11.59/2.22	    inference('lazy_cnf_forall', [status(thm)], ['22'])).
11.59/2.22	tff('24', plain,
11.59/2.22	    ![X1, X2 : mu]:
11.59/2.22	      (~ exists_in_world(X2, X1)
11.59/2.22	       |  (!!((^[Y0 : mu]:
11.59/2.22	                 (exists_in_world(Y0, X1) =>
11.59/2.22	                  (~(((~((subset(X2, Y0, X1) |
11.59/2.22	                          (~((!!((^[Y1 : mu]:
11.59/2.22	                                    (exists_in_world(Y1, X1) =>
11.59/2.22	                                     (member(Y1, Y0, X1) |
11.59/2.22	                                      (~(member(Y1, X2, X1))))))))))))) |
11.59/2.22	                      (~(((!!((^[Y1 : mu]:
11.59/2.22	                                 (exists_in_world(Y1, X1) =>
11.59/2.22	                                  (member(Y1, Y0, X1) |
11.59/2.22	                                   (~(member(Y1, X2, X1)))))))) |
11.59/2.22	                          (~(subset(X2, Y0, X1)))))))))))))),
11.59/2.22	    inference('lazy_cnf_imply', [status(thm)], ['23'])).
11.59/2.22	tff('25', plain,
11.59/2.22	    ![X1, X2 : mu, X3 : mu]:
11.59/2.22	      ( (exists_in_world(X3, X1) =>
11.59/2.22	         (~(((~((subset(X2, X3, X1) |
11.59/2.22	                 (~((!!((^[Y0 : mu]:
11.59/2.22	                           (exists_in_world(Y0, X1) =>
11.59/2.22	                            (member(Y0, X3, X1) | (~(member(Y0, X2, X1))))))))))))) |
11.59/2.22	             (~(((!!((^[Y0 : mu]:
11.59/2.22	                        (exists_in_world(Y0, X1) =>
11.59/2.22	                         (member(Y0, X3, X1) | (~(member(Y0, X2, X1)))))))) |
11.59/2.22	                 (~(subset(X2, X3, X1))))))))))
11.59/2.22	       | ~ exists_in_world(X2, X1)),
11.59/2.22	    inference('lazy_cnf_forall', [status(thm)], ['24'])).
11.59/2.22	tff('26', plain,
11.59/2.22	    ![X1, X2 : mu, X3 : mu]:
11.59/2.22	      (~ exists_in_world(X3, X1)
11.59/2.22	       | ~ ((~((subset(X2, X3, X1) |
11.59/2.22	                (~((!!((^[Y0 : mu]:
11.59/2.22	                          (exists_in_world(Y0, X1) =>
11.59/2.22	                           (member(Y0, X3, X1) | (~(member(Y0, X2, X1))))))))))))) |
11.59/2.22	            (~(((!!((^[Y0 : mu]:
11.59/2.22	                       (exists_in_world(Y0, X1) =>
11.59/2.22	                        (member(Y0, X3, X1) | (~(member(Y0, X2, X1)))))))) |
11.59/2.22	                (~(subset(X2, X3, X1)))))))
11.59/2.22	       | ~ exists_in_world(X2, X1)),
11.59/2.22	    inference('lazy_cnf_imply', [status(thm)], ['25'])).
11.59/2.22	tff('27', plain,
11.59/2.22	    ![X1, X2 : mu, X3 : mu]:
11.59/2.22	      ( (subset(X2, X3, X1) |
11.59/2.22	         (~((!!((^[Y0 : mu]:
11.59/2.22	                   (exists_in_world(Y0, X1) =>
11.59/2.22	                    (member(Y0, X3, X1) | (~(member(Y0, X2, X1)))))))))))
11.59/2.22	       | ~ exists_in_world(X2, X1)
11.59/2.22	       | ~ exists_in_world(X3, X1)),
11.59/2.22	    inference('lazy_cnf_or', [status(thm)], ['26'])).
11.59/2.22	tff('28', plain,
11.59/2.22	    ![X1, X2 : mu, X3 : mu]:
11.59/2.22	      ( subset(X2, X3, X1)
11.59/2.22	       | ~ (!!((^[Y0 : mu]:
11.59/2.22	                  (exists_in_world(Y0, X1) =>
11.59/2.22	                   (member(Y0, X3, X1) | (~(member(Y0, X2, X1))))))))
11.59/2.22	       | ~ exists_in_world(X3, X1)
11.59/2.22	       | ~ exists_in_world(X2, X1)),
11.59/2.22	    inference('lazy_cnf_or', [status(thm)], ['27'])).
11.59/2.22	tff('29', plain,
11.59/2.22	    ![X1, X2 : mu, X3 : mu]:
11.59/2.22	      (~ (exists_in_world('#sk4'(X1, X2, X3), X1) =>
11.59/2.22	          (member('#sk4'(X1, X2, X3), X3, X1) |
11.59/2.22	           (~(member('#sk4'(X1, X2, X3), X2, X1)))))
11.59/2.22	       | ~ exists_in_world(X2, X1)
11.59/2.22	       | ~ exists_in_world(X3, X1)
11.59/2.22	       |  subset(X2, X3, X1)),
11.59/2.22	    inference('lazy_cnf_exists', [status(thm)], ['28'])).
11.59/2.22	tff('30', plain,
11.59/2.22	    ![X1, X2 : mu, X3 : mu]:
11.59/2.22	      (~ (member('#sk4'(X1, X2, X3), X3, X1) |
11.59/2.22	          (~(member('#sk4'(X1, X2, X3), X2, X1))))
11.59/2.22	       |  subset(X2, X3, X1)
11.59/2.22	       | ~ exists_in_world(X3, X1)
11.59/2.22	       | ~ exists_in_world(X2, X1)),
11.59/2.22	    inference('lazy_cnf_imply', [status(thm)], ['29'])).
11.59/2.22	tff('31', plain,
11.59/2.22	    ![X1, X2 : mu, X3 : mu]:
11.59/2.22	      ( member('#sk4'(X1, X2, X3), X2, X1)
11.59/2.22	       | ~ exists_in_world(X2, X1)
11.59/2.22	       | ~ exists_in_world(X3, X1)
11.59/2.22	       |  subset(X2, X3, X1)),
11.59/2.22	    inference('lazy_cnf_or', [status(thm)], ['30'])).
11.59/2.22	tff('32', plain,
11.59/2.22	    ![X0, X1 : mu]:
11.59/2.22	      ( subset(empty_set, X1, X0)
11.59/2.22	       | ~ exists_in_world(X1, X0)
11.59/2.22	       |  member('#sk4'(X0, empty_set, X1), empty_set, X0)),
11.59/2.22	    inference('sup-', [status(thm)], ['10', '31'])).
11.59/2.22	tff('33', plain,
11.59/2.22	    ( member('#sk4'('#sk1', empty_set, '#sk2'), empty_set, '#sk1')
11.59/2.22	     |  subset(empty_set, '#sk2', '#sk1')),
11.59/2.22	    inference('sup-', [status(thm)], ['7', '32'])).
11.59/2.22	tff('34', plain, ~ subset(empty_set, '#sk2', '#sk1'),
11.59/2.22	    inference('lazy_cnf_imply', [status(thm)], ['6'])).
11.59/2.22	tff('35', plain,
11.59/2.22	     member('#sk4'('#sk1', empty_set, '#sk2'), empty_set, '#sk1'),
11.59/2.22	    inference('clc', [status(thm)], ['33', '34'])).
11.59/2.22	tff(empty_set, axiom,
11.59/2.22	  (mvalid(mforall_ind(^[X:mu]: mnot(member(X,empty_set)))))).
11.59/2.22	tff(zf_stmt_3, axiom,
11.59/2.22	  (![X4,X6:mu]: (exists_in_world(X6,X4) => (~member(X6,empty_set,X4))))).
11.59/2.22	tff('36', plain,
11.59/2.22	     (!!((^[Y0 : $i]:
11.59/2.22	            (!!((^[Y1 : mu]:
11.59/2.22	                   (exists_in_world(Y1, Y0) => (~(member(Y1, empty_set, Y0)))))))))),
11.59/2.22	    inference('cnf', [status(esa)], [zf_stmt_3])).
11.59/2.22	tff('37', plain,
11.59/2.22	    ![X1]:
11.59/2.22	       (!!((^[Y0 : mu]:
11.59/2.22	              (exists_in_world(Y0, X1) => (~(member(Y0, empty_set, X1))))))),
11.59/2.22	    inference('lazy_cnf_forall', [status(thm)], ['36'])).
11.59/2.22	tff('38', plain,
11.59/2.22	    ![X1, X2 : mu]:
11.59/2.22	       (exists_in_world(X2, X1) => (~(member(X2, empty_set, X1)))),
11.59/2.22	    inference('lazy_cnf_forall', [status(thm)], ['37'])).
11.59/2.22	tff('39', plain,
11.59/2.22	    ![X1, X2 : mu]: (~ exists_in_world(X2, X1) | ~ member(X2, empty_set, X1)),
11.59/2.22	    inference('lazy_cnf_imply', [status(thm)], ['38'])).
11.59/2.22	tff('40', plain,
11.59/2.22	    ~ exists_in_world('#sk4'('#sk1', empty_set, '#sk2'), '#sk1'),
11.59/2.22	    inference('sup-', [status(thm)], ['35', '39'])).
11.59/2.22	tff('41', plain, ![X1]:  exists_in_world(empty_set, X1),
11.59/2.22	    inference('lazy_cnf_forall', [status(thm)], ['9'])).
11.59/2.22	tff('42', plain,  exists_in_world('#sk2', '#sk1'),
11.59/2.22	    inference('lazy_cnf_imply', [status(thm)], ['6'])).
11.59/2.22	tff('43', plain,
11.59/2.22	    ![X1, X2 : mu, X3 : mu]:
11.59/2.22	      ( exists_in_world('#sk4'(X1, X2, X3), X1)
11.59/2.22	       |  subset(X2, X3, X1)
11.59/2.22	       | ~ exists_in_world(X3, X1)
11.59/2.22	       | ~ exists_in_world(X2, X1)),
11.59/2.22	    inference('lazy_cnf_imply', [status(thm)], ['29'])).
11.59/2.22	tff('44', plain,
11.59/2.22	    ![X0 : mu]:
11.59/2.22	      (~ exists_in_world(X0, '#sk1')
11.59/2.22	       |  subset(X0, '#sk2', '#sk1')
11.59/2.22	       |  exists_in_world('#sk4'('#sk1', X0, '#sk2'), '#sk1')),
11.59/2.22	    inference('sup-', [status(thm)], ['42', '43'])).
11.59/2.22	tff('45', plain,
11.59/2.22	    ( exists_in_world('#sk4'('#sk1', empty_set, '#sk2'), '#sk1')
11.59/2.22	     |  subset(empty_set, '#sk2', '#sk1')),
11.59/2.22	    inference('sup-', [status(thm)], ['41', '44'])).
11.59/2.22	tff('46', plain, ~ subset(empty_set, '#sk2', '#sk1'),
11.59/2.22	    inference('lazy_cnf_imply', [status(thm)], ['6'])).
11.59/2.22	tff('47', plain,  exists_in_world('#sk4'('#sk1', empty_set, '#sk2'), '#sk1'),
11.59/2.22	    inference('clc', [status(thm)], ['45', '46'])).
11.59/2.22	tff('48', plain, $false, inference('demod', [status(thm)], ['40', '47'])).
11.59/2.22	
11.59/2.22	% SZS output end Refutation
11.59/2.22	
11.59/2.22	
11.59/2.22	% Terminating...
12.18/2.30	% Runner terminated.
12.18/2.32	% Zipperpin 1.5 exiting
12.18/2.32	EOF