0.07/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command    : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.MuMpTLGv89 true
0.14/0.35	% Computer   : n012.cluster.edu
0.14/0.35	% Model      : x86_64 x86_64
0.14/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory     : 8042.1875MB
0.14/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 1200
0.14/0.35	% WCLimit    : 120
0.14/0.35	% DateTime   : Tue Jul 13 15:54:01 EDT 2021
0.14/0.35	% CPUTime    : 
0.14/0.35	% Running portfolio for 120 s
0.14/0.35	% File         : /export/starexec/sandbox/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
0.58/0.65	% Total configuration time : 828
0.58/0.65	% Estimated wc time : 983
0.58/0.65	% Estimated cpu time (8 cpus) : 122.875
0.58/0.73	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s
0.58/0.74	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s
0.58/0.76	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s
0.58/0.77	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s
0.58/0.77	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s
0.58/0.77	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s
0.58/0.78	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s
0.58/0.78	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s
0.60/0.81	% /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 53s
0.60/0.84	% /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 33s
0.60/0.92	% Solved by lams/35_full_unif.sh.
0.60/0.92	% done 23 iterations in 0.036s
0.60/0.92	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
0.60/0.92	% SZS output start Refutation
0.60/0.92	thf(mu_type, type, mu: $tType).
0.60/0.92	thf(mequiv_type, type, mequiv: ($i > $o) > ($i > $o) > $i > $o).
0.60/0.92	thf('#sk2_type', type, '#sk2': mu > $i > $o).
0.60/0.92	thf(mbox_type, type, mbox: ($i > $o) > $i > $o).
0.60/0.92	thf(mbox_generic_type, type, mbox_generic: ($i > $i > $o) > ($i > $o) > $i > $o).
0.60/0.92	thf(mforall_indset_type, type, mforall_indset: ((mu > $i > $o) > $i > $o) > 
0.60/0.92	                                               $i > $o).
0.60/0.92	thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.60/0.92	thf(mdia_generic_type, type, mdia_generic: ($i > $i > $o) > ($i > $o) > $i > $o).
0.60/0.92	thf('#sk43_type', type, '#sk43': $i).
0.60/0.92	thf('#sk1_type', type, '#sk1': $i).
0.60/0.92	thf('#sk44_type', type, '#sk44': mu).
0.60/0.92	thf(mexists_ind_type, type, mexists_ind: (mu > $i > $o) > $i > $o).
0.60/0.92	thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
0.60/0.92	thf(mdia_type, type, mdia: ($i > $o) > $i > $o).
0.60/0.92	thf(p_type, type, p: (mu > $i > $o) > $i > $o).
0.60/0.92	thf(mforall_ind_type, type, mforall_ind: (mu > $i > $o) > $i > $o).
0.60/0.92	thf(rel_type, type, rel: $i > $i > $o).
0.60/0.92	thf(mvalid_type, type, mvalid: ($i > $o) > $o).
0.60/0.92	thf(mvalid, axiom,(( mvalid  ) =
0.60/0.92	  (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
0.60/0.92	thf('0', plain,
0.60/0.92	    (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
0.60/0.92	    inference('simplify_rw_rule', [status(thm)], [mvalid])).
0.60/0.92	thf('1', plain,
0.60/0.92	    (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
0.60/0.92	    define([status(thm)])).
0.60/0.92	thf(mdia, axiom,(( mdia  ) = (mdia_generic @ rel))).
0.60/0.92	thf(mdia_generic, axiom,(( mdia_generic  ) =
0.60/0.92	  (^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
0.60/0.92	   ( ?[V:$i]: ( ( Phi @ V ) & ( R @ W @ V ) ) )))).
0.60/0.92	thf('2', plain,
0.60/0.92	    (( mdia_generic ) =
0.60/0.92	     ( ^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
0.60/0.92	       ( ?[V:$i]: ( ( Phi @ V ) & ( R @ W @ V ) ) ) )),
0.60/0.92	    inference('simplify_rw_rule', [status(thm)], [mdia_generic])).
0.60/0.92	thf('3', plain,
0.60/0.92	    (( mdia_generic ) =
0.60/0.92	     ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]:
0.60/0.92	       ( ?[X4:$i]: ( ( V_2 @ X4 ) & ( V_1 @ V_3 @ X4 ) ) ) )),
0.60/0.92	    define([status(thm)])).
0.60/0.92	thf('4', plain, (( mdia ) = ( mdia_generic @ rel )),
0.60/0.92	    inference('simplify_rw_rule', [status(thm)], [mdia, '3'])).
0.60/0.92	thf('5', plain, (( mdia ) = ( mdia_generic @ rel )), define([status(thm)])).
0.60/0.92	thf(mexists_ind, axiom,(( mexists_ind  ) =
0.60/0.92	  (^[Phi:( mu > $i > $o ),W:$i]: ( ?[X:mu]: ( Phi @ X @ W ) )))).
0.60/0.92	thf('6', plain,
0.60/0.92	    (( mexists_ind ) =
0.60/0.92	     ( ^[Phi:( mu > $i > $o ),W:$i]: ( ?[X:mu]: ( Phi @ X @ W ) ) )),
0.60/0.92	    inference('simplify_rw_rule', [status(thm)], [mexists_ind])).
0.60/0.92	thf('7', plain,
0.60/0.92	    (( mexists_ind ) =
0.60/0.92	     ( ^[V_1:( mu > $i > $o ),V_2:$i]: ( ?[X4:mu]: ( V_1 @ X4 @ V_2 ) ) )),
0.60/0.92	    define([status(thm)])).
0.60/0.92	thf(mforall_indset, axiom,(( mforall_indset  ) =
0.60/0.92	  (^[Phi:( ( mu > $i > $o ) > $i > $o ),W:$i]:
0.60/0.92	   ( ![X:( mu > $i > $o )]: ( Phi @ X @ W ) )))).
0.60/0.92	thf('8', plain,
0.60/0.92	    (( mforall_indset ) =
0.60/0.92	     ( ^[Phi:( ( mu > $i > $o ) > $i > $o ),W:$i]:
0.60/0.92	       ( ![X:( mu > $i > $o )]: ( Phi @ X @ W ) ) )),
0.60/0.92	    inference('simplify_rw_rule', [status(thm)], [mforall_indset])).
0.60/0.92	thf('9', plain,
0.60/0.92	    (( mforall_indset ) =
0.60/0.92	     ( ^[V_1:( ( mu > $i > $o ) > $i > $o ),V_2:$i]:
0.60/0.92	       ( ![X4:( mu > $i > $o )]: ( V_1 @ X4 @ V_2 ) ) )),
0.60/0.92	    define([status(thm)])).
0.60/0.92	thf(mimplies, axiom,(( mimplies  ) =
0.60/0.92	  (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) => ( Psi @ W ) )))).
0.60/0.92	thf('10', plain,
0.60/0.92	    (( mimplies ) =
0.60/0.92	     ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]:
0.60/0.92	       ( ( Phi @ W ) => ( Psi @ W ) ) )),
0.60/0.92	    inference('simplify_rw_rule', [status(thm)], [mimplies])).
0.60/0.92	thf('11', plain,
0.60/0.92	    (( mimplies ) =
0.60/0.92	     ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
0.60/0.92	       ( ( V_1 @ V_3 ) => ( V_2 @ V_3 ) ) )),
0.60/0.92	    define([status(thm)])).
0.60/0.92	thf(possible_instantiation_of_the_positive, conjecture,
0.60/0.92	  (mvalid @
0.60/0.92	   ( mforall_indset @
0.60/0.92	     ( ^[Phi:( mu > $i > $o )]:
0.60/0.92	       ( mimplies @
0.60/0.92	         ( p @ Phi ) @ ( mdia @ ( mexists_ind @ ( ^[X:mu]: ( Phi @ X ) ) ) ) ) ) ))).
0.60/0.92	thf(zf_stmt_0, conjecture,
0.60/0.92	  (![X4:$i,X6:( mu > $i > $o )]:
0.60/0.92	   ( ( p @ X6 @ X4 ) =>
0.60/0.92	     ( ?[X8:$i]: ( ( rel @ X4 @ X8 ) & ( ?[X10:mu]: ( X6 @ X10 @ X8 ) ) ) ) ))).
0.60/0.92	thf(zf_stmt_1, negated_conjecture,
0.60/0.92	  (~( ![X4:$i,X6:( mu > $i > $o )]:
0.60/0.92	      ( ( p @ X6 @ X4 ) =>
0.60/0.92	        ( ?[X8:$i]: ( ( rel @ X4 @ X8 ) & ( ?[X10:mu]: ( X6 @ X10 @ X8 ) ) ) ) ) )),
0.60/0.92	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
0.60/0.92	thf(zip_derived_cl1, plain,
0.60/0.92	    (~ (((!!) @ (^[Y0 : $i]:
0.60/0.92	                   (((!!) @ (^[Y1 : mu > $i > $o]:
0.60/0.92	                               (((p @ Y1 @ Y0) =>
0.60/0.92	                                 (((??) @ (^[Y2 : $i]:
0.60/0.92	                                             (((rel @ Y0 @ Y2) &
0.60/0.92	                                               (((??) @ (^[Y3 : mu]:
0.60/0.92	                                                           (Y1 @ Y3 @ Y2)))))))))))))))))),
0.60/0.92	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.60/0.92	thf(zip_derived_cl3, plain,
0.60/0.92	    (~ (((!!) @ (^[Y0 : mu > $i > $o]:
0.60/0.92	                   (((p @ Y0 @ '#sk1') =>
0.60/0.92	                     (((??) @ (^[Y1 : $i]:
0.60/0.92	                                 (((rel @ '#sk1' @ Y1) &
0.60/0.92	                                   (((??) @ (^[Y2 : mu]: (Y0 @ Y2 @ Y1))))))))))))))),
0.60/0.92	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])).
0.60/0.92	thf(zip_derived_cl4, plain,
0.60/0.92	    (~ (((p @ '#sk2' @ '#sk1') =>
0.60/0.92	         (((??) @ (^[Y0 : $i]:
0.60/0.92	                     (((rel @ '#sk1' @ Y0) &
0.60/0.92	                       (((??) @ (^[Y1 : mu]: ('#sk2' @ Y1 @ Y0)))))))))))),
0.60/0.92	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])).
0.60/0.92	thf(zip_derived_cl5, plain, ( (p @ '#sk2' @ '#sk1')),
0.60/0.92	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
0.60/0.92	thf(mbox, axiom,(( mbox  ) = (mbox_generic @ rel))).
0.60/0.92	thf(mbox_generic, axiom,(( mbox_generic  ) =
0.60/0.92	  (^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
0.60/0.92	   ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) )))).
0.60/0.92	thf('12', plain,
0.60/0.92	    (( mbox_generic ) =
0.60/0.92	     ( ^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
0.60/0.92	       ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) ) )),
0.60/0.92	    inference('simplify_rw_rule', [status(thm)], [mbox_generic])).
0.60/0.92	thf('13', plain,
0.60/0.92	    (( mbox_generic ) =
0.60/0.92	     ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]:
0.60/0.92	       ( ![X4:$i]: ( ( V_2 @ X4 ) | ( ~( V_1 @ V_3 @ X4 ) ) ) ) )),
0.60/0.92	    define([status(thm)])).
0.60/0.92	thf('14', plain, (( mbox ) = ( mbox_generic @ rel )),
0.60/0.92	    inference('simplify_rw_rule', [status(thm)], [mbox, '13'])).
0.60/0.92	thf('15', plain, (( mbox ) = ( mbox_generic @ rel )), define([status(thm)])).
0.60/0.92	thf(mforall_ind, axiom,(( mforall_ind  ) =
0.60/0.92	  (^[Phi:( mu > $i > $o ),W:$i]: ( ![X:mu]: ( Phi @ X @ W ) )))).
0.60/0.92	thf('16', plain,
0.60/0.92	    (( mforall_ind ) =
0.60/0.92	     ( ^[Phi:( mu > $i > $o ),W:$i]: ( ![X:mu]: ( Phi @ X @ W ) ) )),
0.60/0.92	    inference('simplify_rw_rule', [status(thm)], [mforall_ind])).
0.60/0.92	thf('17', plain,
0.60/0.92	    (( mforall_ind ) =
0.60/0.92	     ( ^[V_1:( mu > $i > $o ),V_2:$i]: ( ![X4:mu]: ( V_1 @ X4 @ V_2 ) ) )),
0.60/0.92	    define([status(thm)])).
0.60/0.92	thf(mequiv, axiom,(( mequiv  ) =
0.60/0.92	  (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) <=> ( Psi @ W ) )))).
0.60/0.92	thf('18', plain,
0.60/0.92	    (( mequiv ) =
0.60/0.92	     ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]:
0.60/0.92	       ( ( Phi @ W ) <=> ( Psi @ W ) ) )),
0.60/0.92	    inference('simplify_rw_rule', [status(thm)], [mequiv])).
0.60/0.92	thf('19', plain,
0.60/0.92	    (( mequiv ) =
0.60/0.92	     ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
0.60/0.92	       ( ( V_1 @ V_3 ) <=> ( V_2 @ V_3 ) ) )),
0.60/0.92	    define([status(thm)])).
0.60/0.92	thf(ax17, axiom,
0.60/0.92	  (mvalid @
0.60/0.92	   ( mforall_indset @
0.60/0.92	     ( ^[Phi:( mu > $i > $o )]:
0.60/0.92	       ( mforall_indset @
0.60/0.92	         ( ^[Psi:( mu > $i > $o )]:
0.60/0.92	           ( mimplies @
0.60/0.92	             ( mbox @
0.60/0.92	               ( mforall_ind @
0.60/0.92	                 ( ^[X:mu]: ( mequiv @ ( Phi @ X ) @ ( Psi @ X ) ) ) ) ) @ 
0.60/0.92	             ( mequiv @ ( p @ Phi ) @ ( p @ Psi ) ) ) ) ) ) ))).
0.60/0.92	thf(zf_stmt_2, axiom,
0.60/0.92	  (![X4:$i,X6:( mu > $i > $o ),X8:( mu > $i > $o )]:
0.60/0.92	   ( ( ![X10:$i]:
0.60/0.92	       ( ( ~( rel @ X4 @ X10 ) ) | 
0.60/0.92	         ( ![X12:mu]: ( ( X6 @ X12 @ X10 ) <=> ( X8 @ X12 @ X10 ) ) ) ) ) =>
0.60/0.92	     ( ( p @ X6 @ X4 ) <=> ( p @ X8 @ X4 ) ) ))).
0.60/0.92	thf(zip_derived_cl2, plain,
0.60/0.92	    ( (((!!) @ (^[Y0 : $i]:
0.60/0.92	                  (((!!) @ (^[Y1 : mu > $i > $o]:
0.60/0.92	                              (((!!) @ (^[Y2 : mu > $i > $o]:
0.60/0.92	                                          (((((!!) @ (^[Y3 : $i]:
0.60/0.92	                                                        (((((~) @ (rel @ 
0.60/0.92	                                                                   Y0 @ Y3))) |
0.60/0.92	                                                          (((!!) @ (^[Y4 : mu]:
0.60/0.92	                                                                    ((
0.60/0.92	                                                                    (Y1 @ 
0.60/0.92	                                                                    Y4 @ 
0.60/0.92	                                                                    Y3) <=>
0.60/0.92	                                                                    (Y2 @ 
0.60/0.92	                                                                    Y4 @ Y3))))))))))) =>
0.60/0.92	                                            (((p @ Y1 @ Y0) <=> (p @ Y2 @ Y0))))))))))))))),
0.60/0.92	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.60/0.92	thf(zip_derived_cl11, plain,
0.60/0.92	    (![X2 : $i]:
0.60/0.92	        (((!!) @ (^[Y0 : mu > $i > $o]:
0.60/0.92	                    (((!!) @ (^[Y1 : mu > $i > $o]:
0.60/0.92	                                (((((!!) @ (^[Y2 : $i]:
0.60/0.92	                                              (((((~) @ (rel @ X2 @ Y2))) |
0.60/0.92	                                                (((!!) @ (^[Y3 : mu]:
0.60/0.92	                                                            (((Y0 @ Y3 @ 
0.60/0.92	                                                              Y2) <=> (Y1 @ 
0.60/0.92	                                                              Y3 @ Y2))))))))))) =>
0.60/0.92	                                  (((p @ Y0 @ X2) <=> (p @ Y1 @ X2)))))))))))),
0.60/0.92	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])).
0.60/0.92	thf(zip_derived_cl15, plain,
0.60/0.92	    (![X2 : $i, X4 : mu > $i > $o]:
0.60/0.92	        (((!!) @ (^[Y0 : mu > $i > $o]:
0.60/0.92	                    (((((!!) @ (^[Y1 : $i]:
0.60/0.92	                                  (((((~) @ (rel @ X2 @ Y1))) |
0.60/0.92	                                    (((!!) @ (^[Y2 : mu]:
0.60/0.92	                                                (((X4 @ Y2 @ Y1) <=> (Y0 @ 
0.60/0.92	                                                  Y2 @ Y1))))))))))) =>
0.60/0.92	                      (((p @ X4 @ X2) <=> (p @ Y0 @ X2))))))))),
0.60/0.92	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])).
0.60/0.92	thf(zip_derived_cl16, plain,
0.60/0.92	    (![X0 : $i]:
0.60/0.92	        (((!!) @ (^[Y0 : mu > $i > $o]:
0.60/0.92	                    (((((!!) @ (^[Y1 : $i]:
0.60/0.92	                                  (((((~) @ (rel @ X0 @ Y1))) |
0.60/0.92	                                    (((!!) @ (^[Y2 : mu]:
0.60/0.92	                                                ((('#sk2' @ Y2 @ Y1) <=>
0.60/0.92	                                                  (Y0 @ Y2 @ Y1))))))))))) =>
0.60/0.92	                      (((p @ '#sk2' @ X0) <=> (p @ Y0 @ X0))))))))),
0.60/0.92	    inference('triggered_bool_instantiation', [status(thm)],
0.60/0.92	              [zip_derived_cl15])).
0.60/0.92	thf(zip_derived_cl20, plain,
0.60/0.92	    (![X0 : $i, X2 : mu > $i > $o]:
0.60/0.92	        (((((!!) @ (^[Y0 : $i]:
0.60/0.92	                      (((((~) @ (rel @ X0 @ Y0))) |
0.60/0.92	                        (((!!) @ (^[Y1 : mu]:
0.60/0.92	                                    ((('#sk2' @ Y1 @ Y0) <=> (X2 @ Y1 @ Y0))))))))))) =>
0.60/0.92	          (((p @ '#sk2' @ X0) <=> (p @ X2 @ X0)))))),
0.60/0.92	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])).
0.60/0.92	thf(zip_derived_cl23, plain,
0.60/0.92	    (![X0 : $i]:
0.60/0.92	        (((((!!) @ (^[Y0 : $i]:
0.60/0.92	                      (((((~) @ (rel @ X0 @ Y0))) |
0.60/0.92	                        (((!!) @ (^[Y1 : mu]:
0.60/0.92	                                    ((('#sk2' @ Y1 @ Y0) <=> ($false))))))))))) =>
0.60/0.92	          (((p @ '#sk2' @ X0) <=> (p @ (^[Y0 : mu,Y1 : $i]: ($false)) @ X0)))))),
0.60/0.92	    inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl20])).
0.60/0.92	thf(zip_derived_cl30, plain,
0.60/0.92	    (![X0 : $i]:
0.60/0.92	        (((((!!) @ (^[Y0 : $i]:
0.60/0.92	                      (((((~) @ (rel @ X0 @ Y0))) |
0.60/0.92	                        (((!!) @ (^[Y1 : mu]: (((~) @ ('#sk2' @ Y1 @ Y0))))))))))) =>
0.60/0.92	          (((p @ '#sk2' @ X0) <=> (p @ (^[Y0 : mu,Y1 : $i]: ($false)) @ X0)))))),
0.60/0.92	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl23])).
0.60/0.92	thf(mnot, axiom,(( mnot  ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))).
0.60/0.92	thf('20', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )),
0.60/0.92	    inference('simplify_rw_rule', [status(thm)], [mnot])).
0.60/0.92	thf('21', plain,
0.60/0.92	    (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )),
0.60/0.92	    define([status(thm)])).
0.60/0.92	thf(ax16, axiom,
0.60/0.92	  (mvalid @ ( mnot @ ( p @ ( ^[X:mu,W:$i]: ( ( X ) != ( X ) ) ) ) ))).
0.60/0.92	thf(zf_stmt_3, axiom,
0.60/0.92	  (![X4:$i]: ( ~( p @ ( ^[V_1:mu,V_2:$i]: ( ( V_1 ) != ( V_1 ) ) ) @ X4 ) ))).
0.60/0.92	thf(zip_derived_cl0, plain,
0.60/0.92	    ( (((!!) @ (^[Y0 : $i]:
0.60/0.92	                  (((~) @ (p @ (^[Y1 : mu,Y2 : $i]: (((Y1) != (Y1)))) @ Y0))))))),
0.60/0.92	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.60/0.92	thf(zip_derived_cl9, plain,
0.60/0.92	    ( (((!!) @ (^[Y0 : $i]:
0.60/0.92	                  (((~) @ (p @ (^[Y1 : mu,Y2 : $i]: ($false)) @ Y0))))))),
0.60/0.92	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl0])).
0.60/0.92	thf(zip_derived_cl10, plain,
0.60/0.92	    (![X2 : $i]: ~ (p @ (^[Y0 : mu,Y1 : $i]: ($false)) @ X2)),
0.60/0.92	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])).
0.60/0.92	thf(zip_derived_cl31, plain,
0.60/0.92	    (![X0 : $i]:
0.60/0.92	        (((((!!) @ (^[Y0 : $i]:
0.60/0.92	                      (((((~) @ (rel @ X0 @ Y0))) |
0.60/0.92	                        (((!!) @ (^[Y1 : mu]: (((~) @ ('#sk2' @ Y1 @ Y0))))))))))) =>
0.60/0.92	          (((p @ '#sk2' @ X0) <=> ($false)))))),
0.60/0.92	    inference('demod', [status(thm)], [zip_derived_cl30, zip_derived_cl10])).
0.60/0.92	thf(zip_derived_cl32, plain,
0.60/0.92	    (![X0 : $i]:
0.60/0.92	        (((((!!) @ (^[Y0 : $i]:
0.60/0.92	                      (((((~) @ (rel @ X0 @ Y0))) |
0.60/0.92	                        (((!!) @ (^[Y1 : mu]: (((~) @ ('#sk2' @ Y1 @ Y0))))))))))) =>
0.60/0.92	          (((~) @ (p @ '#sk2' @ X0)))))),
0.60/0.92	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl31])).
0.60/0.92	thf(zip_derived_cl33, plain,
0.60/0.92	    ( (((((!!) @ (^[Y0 : $i]:
0.60/0.92	                    (((((~) @ (rel @ '#sk1' @ Y0))) |
0.60/0.92	                      (((!!) @ (^[Y1 : mu]: (((~) @ ('#sk2' @ Y1 @ Y0))))))))))) =>
0.60/0.92	        (((~) @ ($true)))))),
0.60/0.92	    inference('sup+', [status(thm)], [zip_derived_cl5, zip_derived_cl32])).
0.60/0.92	thf(zip_derived_cl36, plain,
0.60/0.92	    ( (((~) @ (((!!) @ (^[Y0 : $i]:
0.60/0.92	                          (((((~) @ (rel @ '#sk1' @ Y0))) |
0.60/0.92	                            (((!!) @ (^[Y1 : mu]:
0.60/0.92	                                        (((~) @ ('#sk2' @ Y1 @ Y0)))))))))))))),
0.60/0.92	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl33])).
0.60/0.92	thf(zip_derived_cl37, plain,
0.60/0.92	    (~ (((!!) @ (^[Y0 : $i]:
0.60/0.92	                   (((((~) @ (rel @ '#sk1' @ Y0))) |
0.60/0.92	                     (((!!) @ (^[Y1 : mu]: (((~) @ ('#sk2' @ Y1 @ Y0)))))))))))),
0.60/0.92	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl36])).
0.60/0.92	thf(zip_derived_cl40, plain,
0.60/0.92	    (~ (((((~) @ (rel @ '#sk1' @ '#sk43'))) |
0.60/0.92	         (((!!) @ (^[Y0 : mu]: (((~) @ ('#sk2' @ Y0 @ '#sk43'))))))))),
0.60/0.92	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl37])).
0.60/0.92	thf(zip_derived_cl42, plain,
0.60/0.92	    (~ (((!!) @ (^[Y0 : mu]: (((~) @ ('#sk2' @ Y0 @ '#sk43'))))))),
0.60/0.92	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl40])).
0.60/0.92	thf(zip_derived_cl43, plain, ( ('#sk2' @ '#sk44' @ '#sk43')),
0.60/0.92	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl42])).
0.60/0.92	thf(zip_derived_cl4, plain,
0.60/0.92	    (~ (((p @ '#sk2' @ '#sk1') =>
0.60/0.92	         (((??) @ (^[Y0 : $i]:
0.60/0.92	                     (((rel @ '#sk1' @ Y0) &
0.60/0.92	                       (((??) @ (^[Y1 : mu]: ('#sk2' @ Y1 @ Y0)))))))))))),
0.60/0.92	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])).
0.60/0.92	thf(zip_derived_cl5, plain, ( (p @ '#sk2' @ '#sk1')),
0.60/0.92	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
0.60/0.92	thf(zip_derived_cl7, plain,
0.60/0.92	    (~ ((($true) =>
0.60/0.92	         (((??) @ (^[Y0 : $i]:
0.60/0.92	                     (((rel @ '#sk1' @ Y0) &
0.60/0.92	                       (((??) @ (^[Y1 : mu]: ('#sk2' @ Y1 @ Y0)))))))))))),
0.60/0.92	    inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl5])).
0.60/0.92	thf(zip_derived_cl8, plain,
0.60/0.92	    (~ (((??) @ (^[Y0 : $i]:
0.60/0.92	                   (((rel @ '#sk1' @ Y0) &
0.60/0.92	                     (((??) @ (^[Y1 : mu]: ('#sk2' @ Y1 @ Y0)))))))))),
0.60/0.92	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl7])).
0.60/0.92	thf(zip_derived_cl12, plain,
0.60/0.92	    (![X2 : $i]:
0.60/0.92	       ~ (((rel @ '#sk1' @ X2) & (((??) @ (^[Y0 : mu]: ('#sk2' @ Y0 @ X2))))))),
0.60/0.92	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])).
0.60/0.92	thf(zip_derived_cl13, plain,
0.60/0.92	    (![X2 : $i]:
0.60/0.92	       (~ (rel @ '#sk1' @ X2) | ~ (((??) @ (^[Y0 : mu]: ('#sk2' @ Y0 @ X2)))))),
0.60/0.92	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl12])).
0.60/0.92	thf(zip_derived_cl14, plain,
0.60/0.92	    (![X2 : $i, X4 : mu]: (~ ('#sk2' @ X4 @ X2) | ~ (rel @ '#sk1' @ X2))),
0.60/0.92	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])).
0.60/0.92	thf(zip_derived_cl58, plain, (~ (rel @ '#sk1' @ '#sk43')),
0.60/0.92	    inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl14])).
0.60/0.92	thf(zip_derived_cl41, plain, ( (rel @ '#sk1' @ '#sk43')),
0.60/0.92	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl40])).
0.60/0.92	thf(zip_derived_cl60, plain, ($false),
0.60/0.92	    inference('demod', [status(thm)], [zip_derived_cl58, zip_derived_cl41])).
0.60/0.92	
0.60/0.92	% SZS output end Refutation
0.60/0.92	
0.60/0.92	
0.60/0.92	% Terminating...
0.62/0.98	% Runner terminated.
1.80/1.00	% Zipperpin 1.5 exiting
1.80/1.00	EOF