0.10/0.10	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.10/0.11	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pFv7jhasB9 true
0.11/0.32	% Computer : n015.cluster.edu
0.11/0.32	% Model    : x86_64 x86_64
0.11/0.32	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory   : 8042.1875MB
0.11/0.32	% OS       : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit : 960
0.11/0.32	% WCLimit  : 120
0.11/0.32	% DateTime : Tue Aug  9 04:45:11 EDT 2022
0.16/0.32	% CPUTime  : 
0.16/0.32	% Running portfolio for 960 s
0.16/0.32	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.16/0.32	% Number of cores: 8
0.16/0.32	% Python version: Python 3.6.8
0.16/0.32	% Running in HO mode
0.55/0.61	% Total configuration time : 828
0.55/0.61	% Estimated wc time : 1656
0.55/0.61	% Estimated cpu time (8 cpus) : 207.0
0.80/0.72	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
1.20/0.73	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
1.20/0.74	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
1.20/0.75	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
1.20/0.77	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
1.35/0.79	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
1.35/0.81	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
1.40/0.87	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
6.23/1.60	% Solved by lams/20_acsne_simpl.sh.
6.23/1.60	% done 640 iterations in 0.609s
6.23/1.60	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
6.23/1.60	% SZS output start Refutation
6.23/1.60	thf(mworld_type, type, mworld: $tType).
6.23/1.60	thf(mdia_type, type, mdia: (mworld > $o) > mworld > $o).
6.23/1.60	thf(mlocal_type, type, mlocal: (mworld > $o) > $o).
6.23/1.60	thf('#sk7_type', type, '#sk7': mworld > mworld).
6.23/1.60	thf('#sk5_type', type, '#sk5': mworld).
6.23/1.60	thf(p_type, type, p: mworld > $o).
6.23/1.60	thf(mrel_type, type, mrel: mworld > mworld > $o).
6.23/1.60	thf(mnot_type, type, mnot: (mworld > $o) > mworld > $o).
6.23/1.60	thf('#sk1_type', type, '#sk1': mworld > mworld).
6.23/1.60	thf('#sk3_type', type, '#sk3': mworld > mworld).
6.23/1.60	thf('#form2_type', type, '#form2': $o).
6.23/1.60	thf(mactual_type, type, mactual: mworld).
6.23/1.60	thf('#sk4_type', type, '#sk4': mworld).
6.23/1.60	thf(mequiv_type, type, mequiv: (mworld > $o) > (mworld > $o) > mworld > $o).
6.23/1.60	thf('#sk6_type', type, '#sk6': mworld > mworld).
6.23/1.60	thf(mbox_type, type, mbox: (mworld > $o) > mworld > $o).
6.23/1.60	thf(mdia_def, axiom,(( mdia  ) =
6.23/1.60	  (^[Phi:( mworld > $o ),W:mworld]:
6.23/1.60	   ( ?[V:mworld]: ( ( Phi @ V ) & ( mrel @ W @ V ) ) )))).
6.23/1.60	thf('0', plain,
6.23/1.60	    (( mdia ) =
6.23/1.60	     ( ^[Phi:( mworld > $o ),W:mworld]:
6.23/1.60	       ( ?[V:mworld]: ( ( Phi @ V ) & ( mrel @ W @ V ) ) ) )),
6.23/1.60	    inference('simplify_rw_rule', [status(thm)], [mdia_def])).
6.23/1.60	thf('1', plain,
6.23/1.60	    (( mdia ) =
6.23/1.60	     ( ^[V_1:( mworld > $o ),V_2:mworld]:
6.23/1.60	       ( ?[X4:mworld]: ( ( V_1 @ X4 ) & ( mrel @ V_2 @ X4 ) ) ) )),
6.23/1.60	    define([status(thm)])).
6.23/1.60	thf(mbox_def, axiom,(( mbox  ) =
6.23/1.60	  (^[Phi:( mworld > $o ),W:mworld]:
6.23/1.60	   ( ![V:mworld]: ( ( mrel @ W @ V ) => ( Phi @ V ) ) )))).
6.23/1.60	thf('2', plain,
6.23/1.60	    (( mbox ) =
6.23/1.60	     ( ^[Phi:( mworld > $o ),W:mworld]:
6.23/1.60	       ( ![V:mworld]: ( ( mrel @ W @ V ) => ( Phi @ V ) ) ) )),
6.23/1.60	    inference('simplify_rw_rule', [status(thm)], [mbox_def])).
6.23/1.60	thf('3', plain,
6.23/1.60	    (( mbox ) =
6.23/1.60	     ( ^[V_1:( mworld > $o ),V_2:mworld]:
6.23/1.60	       ( ![X4:mworld]: ( ( mrel @ V_2 @ X4 ) => ( V_1 @ X4 ) ) ) )),
6.23/1.60	    define([status(thm)])).
6.23/1.60	thf(mequiv_def, axiom,(( mequiv  ) =
6.23/1.60	  (^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]:
6.23/1.60	   ( ( A @ W ) <=> ( B @ W ) )))).
6.23/1.60	thf('4', plain,
6.23/1.60	    (( mequiv ) =
6.23/1.60	     ( ^[A:( mworld > $o ),B:( mworld > $o ),W:mworld]:
6.23/1.60	       ( ( A @ W ) <=> ( B @ W ) ) )),
6.23/1.60	    inference('simplify_rw_rule', [status(thm)], [mequiv_def])).
6.23/1.60	thf('5', plain,
6.23/1.60	    (( mequiv ) =
6.23/1.60	     ( ^[V_1:( mworld > $o ),V_2:( mworld > $o ),V_3:mworld]:
6.23/1.60	       ( ( V_1 @ V_3 ) <=> ( V_2 @ V_3 ) ) )),
6.23/1.60	    define([status(thm)])).
6.23/1.60	thf(mnot_def, axiom,(( mnot  ) =
6.23/1.60	  (^[A:( mworld > $o ),W:mworld]: ( ~( A @ W ) )))).
6.23/1.60	thf('6', plain,
6.23/1.60	    (( mnot ) = ( ^[A:( mworld > $o ),W:mworld]: ( ~( A @ W ) ) )),
6.23/1.60	    inference('simplify_rw_rule', [status(thm)], [mnot_def])).
6.23/1.60	thf('7', plain,
6.23/1.60	    (( mnot ) = ( ^[V_1:( mworld > $o ),V_2:mworld]: ( ~( V_1 @ V_2 ) ) )),
6.23/1.60	    define([status(thm)])).
6.23/1.60	thf(mlocal_def, axiom,(( mlocal  ) =
6.23/1.60	  (^[Phi:( mworld > $o )]: ( Phi @ mactual )))).
6.23/1.60	thf('8', plain, (( mlocal ) = ( ^[Phi:( mworld > $o )]: ( Phi @ mactual ) )),
6.23/1.60	    inference('simplify_rw_rule', [status(thm)], [mlocal_def])).
6.23/1.60	thf('9', plain, (( mlocal ) = ( ^[V_1:( mworld > $o )]: ( V_1 @ mactual ) )),
6.23/1.60	    define([status(thm)])).
6.23/1.60	thf(con, conjecture,
6.23/1.60	  (mlocal @
6.23/1.60	   ( mequiv @
6.23/1.60	     ( mnot @ ( mbox @ ( mdia @ ( mbox @ p ) ) ) ) @ 
6.23/1.60	     ( mdia @ ( mbox @ ( mdia @ ( mnot @ p ) ) ) ) ))).
6.23/1.60	thf(zf_stmt_0, conjecture,
6.23/1.60	  (( ~( ![X4:mworld]:
6.23/1.60	        ( ( mrel @ mactual @ X4 ) =>
6.23/1.60	          ( ?[X6:mworld]:
6.23/1.60	            ( ( mrel @ X4 @ X6 ) & 
6.23/1.60	              ( ![X8:mworld]: ( ( mrel @ X6 @ X8 ) => ( p @ X8 ) ) ) ) ) ) ) ) <=>
6.23/1.60	   ( ?[X10:mworld]:
6.23/1.60	     ( ( mrel @ mactual @ X10 ) & 
6.23/1.60	       ( ![X12:mworld]:
6.23/1.60	         ( ( mrel @ X10 @ X12 ) =>
6.23/1.60	           ( ?[X14:mworld]: ( ( mrel @ X12 @ X14 ) & ( ~( p @ X14 ) ) ) ) ) ) ) ))).
6.23/1.60	thf(zf_stmt_1, negated_conjecture,
6.23/1.60	  (~( ( ~( ![X4:mworld]:
6.23/1.60	           ( ( mrel @ mactual @ X4 ) =>
6.23/1.60	             ( ?[X6:mworld]:
6.23/1.60	               ( ( mrel @ X4 @ X6 ) & 
6.23/1.60	                 ( ![X8:mworld]: ( ( mrel @ X6 @ X8 ) => ( p @ X8 ) ) ) ) ) ) ) ) <=>
6.23/1.60	      ( ?[X10:mworld]:
6.23/1.60	        ( ( mrel @ mactual @ X10 ) & 
6.23/1.60	          ( ![X12:mworld]:
6.23/1.60	            ( ( mrel @ X10 @ X12 ) =>
6.23/1.60	              ( ?[X14:mworld]: ( ( mrel @ X12 @ X14 ) & ( ~( p @ X14 ) ) ) ) ) ) ) ) )),
6.23/1.60	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
6.23/1.60	thf(zip_derived_cl1, plain,
6.23/1.60	    (((((~) @ (((!!) @ (^[Y0 : mworld]:
6.23/1.60	                          (((mrel @ mactual @ Y0) =>
6.23/1.60	                            (((??) @ (^[Y1 : mworld]:
6.23/1.60	                                        (((mrel @ Y0 @ Y1) &
6.23/1.60	                                          (((!!) @ (^[Y2 : mworld]:
6.23/1.60	                                                      (((mrel @ Y1 @ Y2) =>
6.23/1.60	                                                        (p @ Y2))))))))))))))))))
6.23/1.60	       != (((??) @ (^[Y0 : mworld]:
6.23/1.60	                      (((mrel @ mactual @ Y0) &
6.23/1.60	                        (((!!) @ (^[Y1 : mworld]:
6.23/1.60	                                    (((mrel @ Y0 @ Y1) =>
6.23/1.60	                                      (((??) @ (^[Y2 : mworld]:
6.23/1.60	                                                  (((mrel @ Y1 @ Y2) &
6.23/1.60	                                                    (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.60	    inference('cnf', [status(esa)], [zf_stmt_1])).
6.23/1.60	thf(zip_derived_cl9, plain,
6.23/1.60	    (((((!!) @ (^[Y0 : mworld]:
6.23/1.60	                  (((mrel @ mactual @ Y0) =>
6.23/1.60	                    (((??) @ (^[Y1 : mworld]:
6.23/1.60	                                (((mrel @ Y0 @ Y1) &
6.23/1.60	                                  (((!!) @ (^[Y2 : mworld]:
6.23/1.60	                                              (((mrel @ Y1 @ Y2) => (p @ Y2))))))))))))))))
6.23/1.60	       = (((??) @ (^[Y0 : mworld]:
6.23/1.60	                     (((mrel @ mactual @ Y0) &
6.23/1.60	                       (((!!) @ (^[Y1 : mworld]:
6.23/1.60	                                   (((mrel @ Y0 @ Y1) =>
6.23/1.60	                                     (((??) @ (^[Y2 : mworld]:
6.23/1.60	                                                 (((mrel @ Y1 @ Y2) &
6.23/1.60	                                                   (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.60	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])).
6.23/1.60	thf(zip_derived_cl18, plain,
6.23/1.60	    ((~ (((!!) @ (^[Y0 : mworld]:
6.23/1.60	                    (((mrel @ mactual @ Y0) =>
6.23/1.60	                      (((??) @ (^[Y1 : mworld]:
6.23/1.60	                                  (((mrel @ Y0 @ Y1) &
6.23/1.60	                                    (((!!) @ (^[Y2 : mworld]:
6.23/1.60	                                                (((mrel @ Y1 @ Y2) => (p @ 
6.23/1.60	                                                  Y2))))))))))))))))
6.23/1.60	      |  (((??) @ (^[Y0 : mworld]:
6.23/1.60	                     (((mrel @ mactual @ Y0) &
6.23/1.60	                       (((!!) @ (^[Y1 : mworld]:
6.23/1.60	                                   (((mrel @ Y0 @ Y1) =>
6.23/1.60	                                     (((??) @ (^[Y2 : mworld]:
6.23/1.60	                                                 (((mrel @ Y1 @ Y2) &
6.23/1.60	                                                   (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.60	    inference('eq_elim', [status(thm)], [zip_derived_cl9])).
6.23/1.60	thf(zip_derived_cl18, plain,
6.23/1.60	    ((~ (((!!) @ (^[Y0 : mworld]:
6.23/1.60	                    (((mrel @ mactual @ Y0) =>
6.23/1.60	                      (((??) @ (^[Y1 : mworld]:
6.23/1.60	                                  (((mrel @ Y0 @ Y1) &
6.23/1.60	                                    (((!!) @ (^[Y2 : mworld]:
6.23/1.60	                                                (((mrel @ Y1 @ Y2) => (p @ 
6.23/1.60	                                                  Y2))))))))))))))))
6.23/1.60	      |  (((??) @ (^[Y0 : mworld]:
6.23/1.60	                     (((mrel @ mactual @ Y0) &
6.23/1.60	                       (((!!) @ (^[Y1 : mworld]:
6.23/1.60	                                   (((mrel @ Y0 @ Y1) =>
6.23/1.60	                                     (((??) @ (^[Y2 : mworld]:
6.23/1.60	                                                 (((mrel @ Y1 @ Y2) &
6.23/1.60	                                                   (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.60	    inference('eq_elim', [status(thm)], [zip_derived_cl9])).
6.23/1.60	thf(zip_derived_cl56, plain,
6.23/1.60	    ((~ ('#form2')
6.23/1.60	      |  (((??) @ (^[Y0 : mworld]:
6.23/1.60	                     (((mrel @ mactual @ Y0) &
6.23/1.60	                       (((!!) @ (^[Y1 : mworld]:
6.23/1.60	                                   (((mrel @ Y0 @ Y1) =>
6.23/1.60	                                     (((??) @ (^[Y2 : mworld]:
6.23/1.60	                                                 (((mrel @ Y1 @ Y2) &
6.23/1.60	                                                   (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    define([status(thm)])).
6.23/1.61	thf(zip_derived_cl9, plain,
6.23/1.61	    (((((!!) @ (^[Y0 : mworld]:
6.23/1.61	                  (((mrel @ mactual @ Y0) =>
6.23/1.61	                    (((??) @ (^[Y1 : mworld]:
6.23/1.61	                                (((mrel @ Y0 @ Y1) &
6.23/1.61	                                  (((!!) @ (^[Y2 : mworld]:
6.23/1.61	                                              (((mrel @ Y1 @ Y2) => (p @ Y2))))))))))))))))
6.23/1.61	       = (((??) @ (^[Y0 : mworld]:
6.23/1.61	                     (((mrel @ mactual @ Y0) &
6.23/1.61	                       (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                   (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                     (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                 (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                   (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl1])).
6.23/1.61	thf(zip_derived_cl17, plain,
6.23/1.61	    (( (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                   (((mrel @ mactual @ Y0) =>
6.23/1.61	                     (((??) @ (^[Y1 : mworld]:
6.23/1.61	                                 (((mrel @ Y0 @ Y1) &
6.23/1.61	                                   (((!!) @ (^[Y2 : mworld]:
6.23/1.61	                                               (((mrel @ Y1 @ Y2) => (p @ Y2))))))))))))))))
6.23/1.61	      | ~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                      (((mrel @ mactual @ Y0) &
6.23/1.61	                        (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                    (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                      (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                  (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                    (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    inference('eq_elim', [status(thm)], [zip_derived_cl9])).
6.23/1.61	thf(zip_derived_cl25, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       ( (((mrel @ mactual @ X2) =>
6.23/1.61	           (((??) @ (^[Y0 : mworld]:
6.23/1.61	                       (((mrel @ X2 @ Y0) &
6.23/1.61	                         (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                     (((mrel @ Y0 @ Y1) => (p @ Y1)))))))))))))
6.23/1.61	        | ~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                        (((mrel @ mactual @ Y0) &
6.23/1.61	                          (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                      (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                        (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                    (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                      (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])).
6.23/1.61	thf(zip_derived_cl26, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ (mrel @ mactual @ X2)
6.23/1.61	        |  (((??) @ (^[Y0 : mworld]:
6.23/1.61	                       (((mrel @ X2 @ Y0) &
6.23/1.61	                         (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                     (((mrel @ Y0 @ Y1) => (p @ Y1)))))))))))
6.23/1.61	        | ~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                        (((mrel @ mactual @ Y0) &
6.23/1.61	                          (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                      (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                        (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                    (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                      (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl25])).
6.23/1.61	thf(zip_derived_cl27, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       ( (((mrel @ X2 @ ('#sk1' @ X2)) &
6.23/1.61	           (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                       (((mrel @ ('#sk1' @ X2) @ Y0) => (p @ Y0))))))))
6.23/1.61	        | ~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                        (((mrel @ mactual @ Y0) &
6.23/1.61	                          (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                      (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                        (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                    (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                      (((~) @ (p @ Y2))))))))))))))))))
6.23/1.61	        | ~ (mrel @ mactual @ X2))),
6.23/1.61	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl26])).
6.23/1.61	thf(zip_derived_cl28, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       ( (mrel @ X2 @ ('#sk1' @ X2))
6.23/1.61	        | ~ (mrel @ mactual @ X2)
6.23/1.61	        | ~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                        (((mrel @ mactual @ Y0) &
6.23/1.61	                          (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                      (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                        (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                    (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                      (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])).
6.23/1.61	thf(zip_derived_cl30, plain,
6.23/1.61	    (( ('#form2')
6.23/1.61	      | ~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                      (((mrel @ mactual @ Y0) &
6.23/1.61	                        (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                    (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                      (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                  (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                    (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    define([status(thm)])).
6.23/1.61	thf(zip_derived_cl58, plain,
6.23/1.61	    (( ('#form2')
6.23/1.61	      | ~ (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                      (((mrel @ mactual @ Y0) =>
6.23/1.61	                        (((??) @ (^[Y1 : mworld]:
6.23/1.61	                                    (((mrel @ Y0 @ Y1) &
6.23/1.61	                                      (((!!) @ (^[Y2 : mworld]:
6.23/1.61	                                                  (((mrel @ Y1 @ Y2) => (p @ 
6.23/1.61	                                                    Y2)))))))))))))))))),
6.23/1.61	    inference('renaming', [status(thm)],
6.23/1.61	              [zip_derived_cl18, zip_derived_cl56, zip_derived_cl30])).
6.23/1.61	thf(zip_derived_cl59, plain,
6.23/1.61	    ((~ (((mrel @ mactual @ '#sk5') =>
6.23/1.61	          (((??) @ (^[Y0 : mworld]:
6.23/1.61	                      (((mrel @ '#sk5' @ Y0) &
6.23/1.61	                        (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                    (((mrel @ Y0 @ Y1) => (p @ Y1)))))))))))))
6.23/1.61	      |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl58])).
6.23/1.61	thf(zip_derived_cl62, plain, (( (mrel @ mactual @ '#sk5') |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl59])).
6.23/1.61	thf(zip_derived_cl30, plain,
6.23/1.61	    (( ('#form2')
6.23/1.61	      | ~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                      (((mrel @ mactual @ Y0) &
6.23/1.61	                        (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                    (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                      (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                  (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                    (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    define([status(thm)])).
6.23/1.61	thf(zip_derived_cl31, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ (((mrel @ mactual @ X2) &
6.23/1.61	            (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                        (((mrel @ X2 @ Y0) =>
6.23/1.61	                          (((??) @ (^[Y1 : mworld]:
6.23/1.61	                                      (((mrel @ Y0 @ Y1) & (((~) @ (p @ Y1)))))))))))))))
6.23/1.61	        |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl30])).
6.23/1.61	thf(zip_derived_cl34, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ (mrel @ mactual @ X2)
6.23/1.61	        | ~ (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                        (((mrel @ X2 @ Y0) =>
6.23/1.61	                          (((??) @ (^[Y1 : mworld]:
6.23/1.61	                                      (((mrel @ Y0 @ Y1) & (((~) @ (p @ Y1)))))))))))))
6.23/1.61	        |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl31])).
6.23/1.61	thf(zip_derived_cl36, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ (((mrel @ X2 @ ('#sk3' @ X2)) =>
6.23/1.61	            (((??) @ (^[Y0 : mworld]:
6.23/1.61	                        (((mrel @ ('#sk3' @ X2) @ Y0) & (((~) @ (p @ Y0))))))))))
6.23/1.61	        |  ('#form2')
6.23/1.61	        | ~ (mrel @ mactual @ X2))),
6.23/1.61	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl34])).
6.23/1.61	thf(zip_derived_cl38, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       ( (mrel @ X2 @ ('#sk3' @ X2)) | ~ (mrel @ mactual @ X2) |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])).
6.23/1.61	thf(zip_derived_cl154, plain,
6.23/1.61	    (( ('#form2') |  ('#form2') |  (mrel @ '#sk5' @ ('#sk3' @ '#sk5')))),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl38])).
6.23/1.61	thf(zip_derived_cl162, plain,
6.23/1.61	    (( (mrel @ '#sk5' @ ('#sk3' @ '#sk5')) |  ('#form2'))),
6.23/1.61	    inference('simplify', [status(thm)], [zip_derived_cl154])).
6.23/1.61	thf(zip_derived_cl56, plain,
6.23/1.61	    ((~ ('#form2')
6.23/1.61	      |  (((??) @ (^[Y0 : mworld]:
6.23/1.61	                     (((mrel @ mactual @ Y0) &
6.23/1.61	                       (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                   (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                     (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                 (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                   (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    define([status(thm)])).
6.23/1.61	thf(zip_derived_cl57, plain,
6.23/1.61	    (( (((mrel @ mactual @ '#sk4') &
6.23/1.61	         (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                     (((mrel @ '#sk4' @ Y0) =>
6.23/1.61	                       (((??) @ (^[Y1 : mworld]:
6.23/1.61	                                   (((mrel @ Y0 @ Y1) & (((~) @ (p @ Y1)))))))))))))))
6.23/1.61	      | ~ ('#form2'))),
6.23/1.61	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl56])).
6.23/1.61	thf(zip_derived_cl60, plain, (( (mrel @ mactual @ '#sk4') | ~ ('#form2'))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])).
6.23/1.61	thf(zip_derived_cl28, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       ( (mrel @ X2 @ ('#sk1' @ X2))
6.23/1.61	        | ~ (mrel @ mactual @ X2)
6.23/1.61	        | ~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                        (((mrel @ mactual @ Y0) &
6.23/1.61	                          (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                      (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                        (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                    (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                      (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])).
6.23/1.61	thf(zip_derived_cl30, plain,
6.23/1.61	    (( ('#form2')
6.23/1.61	      | ~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                      (((mrel @ mactual @ Y0) &
6.23/1.61	                        (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                    (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                      (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                  (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                    (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    define([status(thm)])).
6.23/1.61	thf(zip_derived_cl32, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ ('#form2') | ~ (mrel @ mactual @ X2) |  (mrel @ X2 @ ('#sk1' @ X2)))),
6.23/1.61	    inference('renaming', [status(thm)], [zip_derived_cl28, zip_derived_cl30])).
6.23/1.61	thf(zip_derived_cl74, plain,
6.23/1.61	    ((~ ('#form2') |  (mrel @ '#sk4' @ ('#sk1' @ '#sk4')) | ~ ('#form2'))),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl32])).
6.23/1.61	thf(zip_derived_cl80, plain,
6.23/1.61	    (( (mrel @ '#sk4' @ ('#sk1' @ '#sk4')) | ~ ('#form2'))),
6.23/1.61	    inference('simplify', [status(thm)], [zip_derived_cl74])).
6.23/1.61	thf(mrel_reflexive, axiom, (![W:mworld]: ( mrel @ W @ W ))).
6.23/1.61	thf(zip_derived_cl0, plain, ( (((!!) @ (^[Y0 : mworld]: (mrel @ Y0 @ Y0))))),
6.23/1.61	    inference('cnf', [status(esa)], [mrel_reflexive])).
6.23/1.61	thf(zip_derived_cl3, plain, (![X2 : mworld]:  (mrel @ X2 @ X2)),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])).
6.23/1.61	thf(zip_derived_cl61, plain,
6.23/1.61	    (( (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                   (((mrel @ '#sk4' @ Y0) =>
6.23/1.61	                     (((??) @ (^[Y1 : mworld]:
6.23/1.61	                                 (((mrel @ Y0 @ Y1) & (((~) @ (p @ Y1)))))))))))))
6.23/1.61	      | ~ ('#form2'))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])).
6.23/1.61	thf(zip_derived_cl64, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       ( (((mrel @ '#sk4' @ X2) =>
6.23/1.61	           (((??) @ (^[Y0 : mworld]:
6.23/1.61	                       (((mrel @ X2 @ Y0) & (((~) @ (p @ Y0))))))))))
6.23/1.61	        | ~ ('#form2'))),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl61])).
6.23/1.61	thf(zip_derived_cl66, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ (mrel @ '#sk4' @ X2)
6.23/1.61	        |  (((??) @ (^[Y0 : mworld]:
6.23/1.61	                       (((mrel @ X2 @ Y0) & (((~) @ (p @ Y0))))))))
6.23/1.61	        | ~ ('#form2'))),
6.23/1.61	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl64])).
6.23/1.61	thf(zip_derived_cl68, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       ( (((mrel @ X2 @ ('#sk6' @ X2)) & (((~) @ (p @ ('#sk6' @ X2))))))
6.23/1.61	        | ~ ('#form2')
6.23/1.61	        | ~ (mrel @ '#sk4' @ X2))),
6.23/1.61	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl66])).
6.23/1.61	thf(zip_derived_cl70, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       ( (mrel @ X2 @ ('#sk6' @ X2)) | ~ (mrel @ '#sk4' @ X2) | ~ ('#form2'))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl68])).
6.23/1.61	thf(zip_derived_cl524, plain,
6.23/1.61	    ((~ ('#form2') |  (mrel @ '#sk4' @ ('#sk6' @ '#sk4')))),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl70])).
6.23/1.61	thf(mrel_euclidean, axiom,
6.23/1.61	  (![W:mworld,V:mworld,U:mworld]:
6.23/1.61	   ( ( ( mrel @ W @ V ) & ( mrel @ W @ U ) ) => ( mrel @ U @ V ) ))).
6.23/1.61	thf(zip_derived_cl2, plain,
6.23/1.61	    ( (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                  (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                              (((!!) @ (^[Y2 : mworld]:
6.23/1.61	                                          (((((mrel @ Y0 @ Y1) & (mrel @ 
6.23/1.61	                                              Y0 @ Y2))) =>
6.23/1.61	                                            (mrel @ Y2 @ Y1))))))))))))),
6.23/1.61	    inference('cnf', [status(esa)], [mrel_euclidean])).
6.23/1.61	thf(zip_derived_cl4, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	        (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                    (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                (((((mrel @ X2 @ Y0) & (mrel @ X2 @ Y1))) =>
6.23/1.61	                                  (mrel @ Y1 @ Y0)))))))))),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])).
6.23/1.61	thf(zip_derived_cl5, plain,
6.23/1.61	    (![X2 : mworld, X4 : mworld]:
6.23/1.61	        (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                    (((((mrel @ X2 @ X4) & (mrel @ X2 @ Y0))) => (mrel @ 
6.23/1.61	                      Y0 @ X4))))))),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])).
6.23/1.61	thf(zip_derived_cl6, plain,
6.23/1.61	    (![X2 : mworld, X4 : mworld, X6 : mworld]:
6.23/1.61	        (((((mrel @ X2 @ X4) & (mrel @ X2 @ X6))) => (mrel @ X6 @ X4)))),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
6.23/1.61	thf(zip_derived_cl7, plain,
6.23/1.61	    (![X2 : mworld, X4 : mworld, X6 : mworld]:
6.23/1.61	       (~ (((mrel @ X2 @ X4) & (mrel @ X2 @ X6))) |  (mrel @ X6 @ X4))),
6.23/1.61	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])).
6.23/1.61	thf(zip_derived_cl8, plain,
6.23/1.61	    (![X2 : mworld, X4 : mworld, X6 : mworld]:
6.23/1.61	       (~ (mrel @ X2 @ X4) | ~ (mrel @ X2 @ X6) |  (mrel @ X6 @ X4))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])).
6.23/1.61	thf(zip_derived_cl576, plain,
6.23/1.61	    (![X0 : mworld]:
6.23/1.61	       (~ ('#form2')
6.23/1.61	        |  (mrel @ X0 @ ('#sk6' @ '#sk4'))
6.23/1.61	        | ~ (mrel @ '#sk4' @ X0))),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl524, zip_derived_cl8])).
6.23/1.61	thf(zip_derived_cl587, plain,
6.23/1.61	    ((~ ('#form2')
6.23/1.61	      |  (mrel @ ('#sk1' @ '#sk4') @ ('#sk6' @ '#sk4'))
6.23/1.61	      | ~ ('#form2'))),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl576])).
6.23/1.61	thf(zip_derived_cl597, plain,
6.23/1.61	    (( (mrel @ ('#sk1' @ '#sk4') @ ('#sk6' @ '#sk4')) | ~ ('#form2'))),
6.23/1.61	    inference('simplify', [status(thm)], [zip_derived_cl587])).
6.23/1.61	thf(zip_derived_cl29, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       ( (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                     (((mrel @ ('#sk1' @ X2) @ Y0) => (p @ Y0))))))
6.23/1.61	        | ~ (mrel @ mactual @ X2)
6.23/1.61	        | ~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                        (((mrel @ mactual @ Y0) &
6.23/1.61	                          (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                      (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                        (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                    (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                      (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])).
6.23/1.61	thf(zip_derived_cl30, plain,
6.23/1.61	    (( ('#form2')
6.23/1.61	      | ~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                      (((mrel @ mactual @ Y0) &
6.23/1.61	                        (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                    (((mrel @ Y0 @ Y1) =>
6.23/1.61	                                      (((??) @ (^[Y2 : mworld]:
6.23/1.61	                                                  (((mrel @ Y1 @ Y2) &
6.23/1.61	                                                    (((~) @ (p @ Y2)))))))))))))))))))),
6.23/1.61	    define([status(thm)])).
6.23/1.61	thf(zip_derived_cl33, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ ('#form2')
6.23/1.61	        | ~ (mrel @ mactual @ X2)
6.23/1.61	        |  (((!!) @ (^[Y0 : mworld]:
6.23/1.61	                       (((mrel @ ('#sk1' @ X2) @ Y0) => (p @ Y0)))))))),
6.23/1.61	    inference('renaming', [status(thm)], [zip_derived_cl29, zip_derived_cl30])).
6.23/1.61	thf(zip_derived_cl35, plain,
6.23/1.61	    (![X2 : mworld, X4 : mworld]:
6.23/1.61	       ( (((mrel @ ('#sk1' @ X2) @ X4) => (p @ X4)))
6.23/1.61	        | ~ (mrel @ mactual @ X2)
6.23/1.61	        | ~ ('#form2'))),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl33])).
6.23/1.61	thf(zip_derived_cl37, plain,
6.23/1.61	    (![X2 : mworld, X4 : mworld]:
6.23/1.61	       (~ (mrel @ ('#sk1' @ X2) @ X4)
6.23/1.61	        |  (p @ X4)
6.23/1.61	        | ~ ('#form2')
6.23/1.61	        | ~ (mrel @ mactual @ X2))),
6.23/1.61	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl35])).
6.23/1.61	thf(zip_derived_cl900, plain,
6.23/1.61	    ((~ ('#form2')
6.23/1.61	      | ~ (mrel @ mactual @ '#sk4')
6.23/1.61	      | ~ ('#form2')
6.23/1.61	      |  (p @ ('#sk6' @ '#sk4')))),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl597, zip_derived_cl37])).
6.23/1.61	thf(zip_derived_cl906, plain,
6.23/1.61	    (( (p @ ('#sk6' @ '#sk4')) | ~ (mrel @ mactual @ '#sk4') | ~ ('#form2'))),
6.23/1.61	    inference('simplify', [status(thm)], [zip_derived_cl900])).
6.23/1.61	thf(zip_derived_cl60, plain, (( (mrel @ mactual @ '#sk4') | ~ ('#form2'))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl57])).
6.23/1.61	thf(zip_derived_cl970, plain, ((~ ('#form2') |  (p @ ('#sk6' @ '#sk4')))),
6.23/1.61	    inference('clc', [status(thm)], [zip_derived_cl906, zip_derived_cl60])).
6.23/1.61	thf(zip_derived_cl71, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ (p @ ('#sk6' @ X2)) | ~ (mrel @ '#sk4' @ X2) | ~ ('#form2'))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl68])).
6.23/1.61	thf(zip_derived_cl971, plain,
6.23/1.61	    ((~ ('#form2') | ~ ('#form2') | ~ (mrel @ '#sk4' @ '#sk4'))),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl970, zip_derived_cl71])).
6.23/1.61	thf(zip_derived_cl3, plain, (![X2 : mworld]:  (mrel @ X2 @ X2)),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])).
6.23/1.61	thf(zip_derived_cl973, plain, ((~ ('#form2') | ~ ('#form2'))),
6.23/1.61	    inference('demod', [status(thm)], [zip_derived_cl971, zip_derived_cl3])).
6.23/1.61	thf(zip_derived_cl974, plain, (~ ('#form2')),
6.23/1.61	    inference('simplify', [status(thm)], [zip_derived_cl973])).
6.23/1.61	thf(zip_derived_cl986, plain, ( (mrel @ '#sk5' @ ('#sk3' @ '#sk5'))),
6.23/1.61	    inference('demod', [status(thm)], [zip_derived_cl162, zip_derived_cl974])).
6.23/1.61	thf(zip_derived_cl3, plain, (![X2 : mworld]:  (mrel @ X2 @ X2)),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])).
6.23/1.61	thf(zip_derived_cl63, plain,
6.23/1.61	    ((~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                    (((mrel @ '#sk5' @ Y0) &
6.23/1.61	                      (((!!) @ (^[Y1 : mworld]:
6.23/1.61	                                  (((mrel @ Y0 @ Y1) => (p @ Y1)))))))))))
6.23/1.61	      |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl59])).
6.23/1.61	thf(zip_derived_cl65, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ (((mrel @ '#sk5' @ X2) &
6.23/1.61	            (((!!) @ (^[Y0 : mworld]: (((mrel @ X2 @ Y0) => (p @ Y0))))))))
6.23/1.61	        |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl63])).
6.23/1.61	thf(zip_derived_cl67, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ (mrel @ '#sk5' @ X2)
6.23/1.61	        | ~ (((!!) @ (^[Y0 : mworld]: (((mrel @ X2 @ Y0) => (p @ Y0))))))
6.23/1.61	        |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl65])).
6.23/1.61	thf(zip_derived_cl69, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ (((mrel @ X2 @ ('#sk7' @ X2)) => (p @ ('#sk7' @ X2))))
6.23/1.61	        |  ('#form2')
6.23/1.61	        | ~ (mrel @ '#sk5' @ X2))),
6.23/1.61	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl67])).
6.23/1.61	thf(zip_derived_cl72, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       ( (mrel @ X2 @ ('#sk7' @ X2)) | ~ (mrel @ '#sk5' @ X2) |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])).
6.23/1.61	thf(zip_derived_cl635, plain,
6.23/1.61	    (( ('#form2') |  (mrel @ '#sk5' @ ('#sk7' @ '#sk5')))),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl72])).
6.23/1.61	thf(zip_derived_cl974, plain, (~ ('#form2')),
6.23/1.61	    inference('simplify', [status(thm)], [zip_derived_cl973])).
6.23/1.61	thf(zip_derived_cl1009, plain, ( (mrel @ '#sk5' @ ('#sk7' @ '#sk5'))),
6.23/1.61	    inference('demod', [status(thm)], [zip_derived_cl635, zip_derived_cl974])).
6.23/1.61	thf(zip_derived_cl8, plain,
6.23/1.61	    (![X2 : mworld, X4 : mworld, X6 : mworld]:
6.23/1.61	       (~ (mrel @ X2 @ X4) | ~ (mrel @ X2 @ X6) |  (mrel @ X6 @ X4))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])).
6.23/1.61	thf(zip_derived_cl1059, plain,
6.23/1.61	    (![X0 : mworld]:
6.23/1.61	       ( (mrel @ X0 @ ('#sk7' @ '#sk5')) | ~ (mrel @ '#sk5' @ X0))),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl1009, zip_derived_cl8])).
6.23/1.61	thf(zip_derived_cl1359, plain,
6.23/1.61	    ( (mrel @ ('#sk3' @ '#sk5') @ ('#sk7' @ '#sk5'))),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl986, zip_derived_cl1059])).
6.23/1.61	thf(zip_derived_cl39, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ (((??) @ (^[Y0 : mworld]:
6.23/1.61	                      (((mrel @ ('#sk3' @ X2) @ Y0) & (((~) @ (p @ Y0))))))))
6.23/1.61	        | ~ (mrel @ mactual @ X2)
6.23/1.61	        |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])).
6.23/1.61	thf(zip_derived_cl40, plain,
6.23/1.61	    (![X2 : mworld, X4 : mworld]:
6.23/1.61	       (~ (((mrel @ ('#sk3' @ X2) @ X4) & (((~) @ (p @ X4)))))
6.23/1.61	        |  ('#form2')
6.23/1.61	        | ~ (mrel @ mactual @ X2))),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl39])).
6.23/1.61	thf(zip_derived_cl41, plain,
6.23/1.61	    (![X2 : mworld, X4 : mworld]:
6.23/1.61	       (~ (mrel @ ('#sk3' @ X2) @ X4)
6.23/1.61	        |  (p @ X4)
6.23/1.61	        | ~ (mrel @ mactual @ X2)
6.23/1.61	        |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl40])).
6.23/1.61	thf(zip_derived_cl974, plain, (~ ('#form2')),
6.23/1.61	    inference('simplify', [status(thm)], [zip_derived_cl973])).
6.23/1.61	thf(zip_derived_cl978, plain,
6.23/1.61	    (![X2 : mworld, X4 : mworld]:
6.23/1.61	       (~ (mrel @ ('#sk3' @ X2) @ X4) |  (p @ X4) | ~ (mrel @ mactual @ X2))),
6.23/1.61	    inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl974])).
6.23/1.61	thf(zip_derived_cl1492, plain,
6.23/1.61	    ((~ (mrel @ mactual @ '#sk5') |  (p @ ('#sk7' @ '#sk5')))),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl1359, zip_derived_cl978])).
6.23/1.61	thf(zip_derived_cl62, plain, (( (mrel @ mactual @ '#sk5') |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl59])).
6.23/1.61	thf(zip_derived_cl974, plain, (~ ('#form2')),
6.23/1.61	    inference('simplify', [status(thm)], [zip_derived_cl973])).
6.23/1.61	thf(zip_derived_cl979, plain, ( (mrel @ mactual @ '#sk5')),
6.23/1.61	    inference('demod', [status(thm)], [zip_derived_cl62, zip_derived_cl974])).
6.23/1.61	thf(zip_derived_cl1500, plain, ( (p @ ('#sk7' @ '#sk5'))),
6.23/1.61	    inference('demod', [status(thm)], [zip_derived_cl1492, zip_derived_cl979])).
6.23/1.61	thf(zip_derived_cl73, plain,
6.23/1.61	    (![X2 : mworld]:
6.23/1.61	       (~ (p @ ('#sk7' @ X2)) | ~ (mrel @ '#sk5' @ X2) |  ('#form2'))),
6.23/1.61	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl69])).
6.23/1.61	thf(zip_derived_cl974, plain, (~ ('#form2')),
6.23/1.61	    inference('simplify', [status(thm)], [zip_derived_cl973])).
6.23/1.61	thf(zip_derived_cl981, plain,
6.23/1.61	    (![X2 : mworld]: (~ (p @ ('#sk7' @ X2)) | ~ (mrel @ '#sk5' @ X2))),
6.23/1.61	    inference('demod', [status(thm)], [zip_derived_cl73, zip_derived_cl974])).
6.23/1.61	thf(zip_derived_cl1502, plain, (~ (mrel @ '#sk5' @ '#sk5')),
6.23/1.61	    inference('sup-', [status(thm)], [zip_derived_cl1500, zip_derived_cl981])).
6.23/1.61	thf(zip_derived_cl3, plain, (![X2 : mworld]:  (mrel @ X2 @ X2)),
6.23/1.61	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])).
6.23/1.61	thf(zip_derived_cl1504, plain, ($false),
6.23/1.61	    inference('demod', [status(thm)], [zip_derived_cl1502, zip_derived_cl3])).
6.23/1.61	
6.23/1.61	% SZS output end Refutation
6.23/1.61	
6.23/1.61	
6.23/1.61	% Terminating...
7.07/1.85	% Runner terminated.
7.10/1.86	% Zipperpin 1.5 exiting
7.10/1.88	EOF