0.07/0.13	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.15	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.kgGEbxWAia true
0.15/0.36	% Computer : n005.cluster.edu
0.15/0.36	% Model    : x86_64 x86_64
0.15/0.36	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.15/0.36	% Memory   : 8042.1875MB
0.15/0.36	% OS       : Linux 3.10.0-693.el7.x86_64
0.15/0.36	% CPULimit : 960
0.15/0.36	% WCLimit  : 120
0.15/0.36	% DateTime : Tue Aug  9 06:28:49 EDT 2022
0.15/0.36	% CPUTime  : 
0.15/0.36	% Running portfolio for 960 s
0.15/0.36	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.15/0.36	% Number of cores: 8
0.15/0.37	% Python version: Python 3.6.8
0.15/0.37	% Running in HO mode
0.57/0.67	% Total configuration time : 828
0.57/0.67	% Estimated wc time : 1656
0.57/0.67	% Estimated cpu time (8 cpus) : 207.0
0.58/0.71	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.58/0.74	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.58/0.74	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.58/0.74	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.58/0.76	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.58/0.76	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.58/0.76	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.58/0.78	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
0.58/0.80	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
0.59/1.00	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
18.72/3.00	% /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
39.92/5.74	% Solved by lams/15_e_short1.sh.
39.92/5.74	% done 299 iterations in 4.965s
39.92/5.74	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
39.92/5.74	% SZS output start Refutation
39.92/5.74	thf(mbox_type, type, mbox: ($i > $i > $o) > ($i > $o) > $i > $o).
39.92/5.74	thf(a_type, type, a: $i > $i > $o).
39.92/5.74	thf('#sk1_type', type, '#sk1': $i).
39.92/5.74	thf(ws_type, type, ws: ($i > $i > $o) > $i > $o).
39.92/5.74	thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
39.92/5.74	thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
39.92/5.74	thf('#sk78_type', type, '#sk78': $i > $i).
39.92/5.74	thf('#sk59_type', type, '#sk59': $i > $i).
39.92/5.74	thf(b_type, type, b: $i > $i > $o).
39.92/5.74	thf('#sk2_type', type, '#sk2': $i).
39.92/5.74	thf(c_type, type, c: $i > $i > $o).
39.92/5.74	thf('#sk193_type', type, '#sk193': $i > ($i > $o) > $i).
39.92/5.74	thf(fool_type, type, fool: $i > $i > $o).
39.92/5.74	thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
39.92/5.74	thf(mforall_prop_type, type, mforall_prop: (($i > $o) > $i > $o) > $i > $o).
39.92/5.74	thf(mvalid_type, type, mvalid: ($i > $o) > $o).
39.92/5.74	thf(mvalid, axiom,(( mvalid  ) =
39.92/5.74	  (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
39.92/5.74	thf('0', plain,
39.92/5.74	    (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
39.92/5.74	    inference('simplify_rw_rule', [status(thm)], [mvalid])).
39.92/5.74	thf('1', plain,
39.92/5.74	    (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
39.92/5.74	    define([status(thm)])).
39.92/5.74	thf(mbox, axiom,(( mbox  ) =
39.92/5.74	  (^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
39.92/5.74	   ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) )))).
39.92/5.74	thf('2', plain,
39.92/5.74	    (( mbox ) =
39.92/5.74	     ( ^[R:( $i > $i > $o ),Phi:( $i > $o ),W:$i]:
39.92/5.74	       ( ![V:$i]: ( ( Phi @ V ) | ( ~( R @ W @ V ) ) ) ) )),
39.92/5.74	    inference('simplify_rw_rule', [status(thm)], [mbox])).
39.92/5.74	thf('3', plain,
39.92/5.74	    (( mbox ) =
39.92/5.74	     ( ^[V_1:( $i > $i > $o ),V_2:( $i > $o ),V_3:$i]:
39.92/5.74	       ( ![X4:$i]: ( ( V_2 @ X4 ) | ( ~( V_1 @ V_3 @ X4 ) ) ) ) )),
39.92/5.74	    define([status(thm)])).
39.92/5.74	thf(conj, conjecture, (mvalid @ ( mbox @ c @ ( ws @ c ) ))).
39.92/5.74	thf(zf_stmt_0, conjecture,
39.92/5.74	  (![X4:$i,X6:$i]: ( ( ~( c @ X4 @ X6 ) ) | ( ws @ c @ X6 ) ))).
39.92/5.74	thf(zf_stmt_1, negated_conjecture,
39.92/5.74	  (~( ![X4:$i,X6:$i]: ( ( ~( c @ X4 @ X6 ) ) | ( ws @ c @ X6 ) ) )),
39.92/5.74	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
39.92/5.74	thf(zip_derived_cl11, plain,
39.92/5.74	    (~ (((!!) @ (^[Y0 : $i]:
39.92/5.74	                   (((!!) @ (^[Y1 : $i]:
39.92/5.74	                               (((((~) @ (c @ Y0 @ Y1))) | (ws @ c @ Y1)))))))))),
39.92/5.74	    inference('cnf', [status(esa)], [zf_stmt_1])).
39.92/5.74	thf(zip_derived_cl35, plain,
39.92/5.74	    (~ (((!!) @ (^[Y0 : $i]: (((((~) @ (c @ '#sk1' @ Y0))) | (ws @ c @ Y0))))))),
39.92/5.74	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])).
39.92/5.74	thf(zip_derived_cl36, plain,
39.92/5.74	    (~ (((((~) @ (c @ '#sk1' @ '#sk2'))) | (ws @ c @ '#sk2')))),
39.92/5.74	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl35])).
39.92/5.74	thf(zip_derived_cl38, plain, (~ (ws @ c @ '#sk2')),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl36])).
39.92/5.74	thf(mforall_prop, axiom,(( mforall_prop  ) =
39.92/5.74	  (^[Phi:( ( $i > $o ) > $i > $o ),W:$i]:
39.92/5.74	   ( ![P:( $i > $o )]: ( Phi @ P @ W ) )))).
39.92/5.74	thf('4', plain,
39.92/5.74	    (( mforall_prop ) =
39.92/5.74	     ( ^[Phi:( ( $i > $o ) > $i > $o ),W:$i]:
39.92/5.74	       ( ![P:( $i > $o )]: ( Phi @ P @ W ) ) )),
39.92/5.74	    inference('simplify_rw_rule', [status(thm)], [mforall_prop])).
39.92/5.74	thf('5', plain,
39.92/5.74	    (( mforall_prop ) =
39.92/5.74	     ( ^[V_1:( ( $i > $o ) > $i > $o ),V_2:$i]:
39.92/5.74	       ( ![X4:( $i > $o )]: ( V_1 @ X4 @ V_2 ) ) )),
39.92/5.74	    define([status(thm)])).
39.92/5.74	thf(mimplies, axiom,(( mimplies  ) =
39.92/5.74	  (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))).
39.92/5.74	thf(mor, axiom,(( mor  ) =
39.92/5.74	  (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))).
39.92/5.74	thf('6', plain,
39.92/5.74	    (( mor ) =
39.92/5.74	     ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )),
39.92/5.74	    inference('simplify_rw_rule', [status(thm)], [mor])).
39.92/5.74	thf('7', plain,
39.92/5.74	    (( mor ) =
39.92/5.74	     ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
39.92/5.74	       ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )),
39.92/5.74	    define([status(thm)])).
39.92/5.74	thf(mnot, axiom,(( mnot  ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))).
39.92/5.74	thf('8', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )),
39.92/5.74	    inference('simplify_rw_rule', [status(thm)], [mnot])).
39.92/5.74	thf('9', plain,
39.92/5.74	    (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )),
39.92/5.74	    define([status(thm)])).
39.92/5.74	thf('10', plain,
39.92/5.74	    (( mimplies ) =
39.92/5.74	     ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )),
39.92/5.74	    inference('simplify_rw_rule', [status(thm)], [mimplies, '7', '9'])).
39.92/5.74	thf('11', plain,
39.92/5.74	    (( mimplies ) =
39.92/5.74	     ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )),
39.92/5.74	    define([status(thm)])).
39.92/5.74	thf(t_axiom_for_fool, axiom,
39.92/5.74	  (mvalid @
39.92/5.74	   ( mforall_prop @
39.92/5.74	     ( ^[A:( $i > $o )]: ( mimplies @ ( mbox @ fool @ A ) @ A ) ) ))).
39.92/5.74	thf(zf_stmt_2, axiom,
39.92/5.74	  (![X4:$i,X6:( $i > $o )]:
39.92/5.74	   ( ( X6 @ X4 ) | 
39.92/5.74	     ( ~( ![X8:$i]: ( ( ~( fool @ X4 @ X8 ) ) | ( X6 @ X8 ) ) ) ) ))).
39.92/5.74	thf(zip_derived_cl18, plain,
39.92/5.74	    ( (((!!) @ (^[Y0 : $i]:
39.92/5.74	                  (((!!) @ (^[Y1 : $i > $o]:
39.92/5.74	                              (((Y1 @ Y0) |
39.92/5.74	                                (((~) @ (((!!) @ (^[Y2 : $i]:
39.92/5.74	                                                    (((((~) @ (fool @ Y0 @ Y2))) |
39.92/5.74	                                                      (Y1 @ Y2))))))))))))))))),
39.92/5.74	    inference('cnf', [status(esa)], [zf_stmt_2])).
39.92/5.74	thf(zip_derived_cl88, plain,
39.92/5.74	    (![X2 : $i]:
39.92/5.74	        (((!!) @ (^[Y0 : $i > $o]:
39.92/5.74	                    (((Y0 @ X2) |
39.92/5.74	                      (((~) @ (((!!) @ (^[Y1 : $i]:
39.92/5.74	                                          (((((~) @ (fool @ X2 @ Y1))) |
39.92/5.74	                                            (Y0 @ Y1)))))))))))))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])).
39.92/5.74	thf(zip_derived_cl89, plain,
39.92/5.74	    (![X2 : $i, X4 : $i > $o]:
39.92/5.74	        (((X4 @ X2) |
39.92/5.74	          (((~) @ (((!!) @ (^[Y0 : $i]:
39.92/5.74	                              (((((~) @ (fool @ X2 @ Y0))) | (X4 @ Y0))))))))))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl88])).
39.92/5.74	thf(zip_derived_cl90, plain,
39.92/5.74	    (![X2 : $i, X4 : $i > $o]:
39.92/5.74	       ( (X4 @ X2)
39.92/5.74	        | ~ (((!!) @ (^[Y0 : $i]: (((((~) @ (fool @ X2 @ Y0))) | (X4 @ Y0)))))))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl89])).
39.92/5.74	thf(zip_derived_cl91, plain,
39.92/5.74	    (![X2 : $i, X4 : $i > $o]:
39.92/5.74	       (~ (((((~) @ (fool @ X2 @ ('#sk193' @ X2 @ X4)))) | (X4 @ 
39.92/5.74	            ('#sk193' @ X2 @ X4))))
39.92/5.74	        |  (X4 @ X2))),
39.92/5.74	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl90])).
39.92/5.74	thf(zip_derived_cl92, plain,
39.92/5.74	    (![X2 : $i, X4 : $i > $o]:
39.92/5.74	       ( (fool @ X2 @ ('#sk193' @ X2 @ X4)) |  (X4 @ X2))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl91])).
39.92/5.74	thf(zip_derived_cl93, plain,
39.92/5.74	    (![X2 : $i, X4 : $i > $o]: (~ (X4 @ ('#sk193' @ X2 @ X4)) |  (X4 @ X2))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl91])).
39.92/5.74	thf(zip_derived_cl392, plain,
39.92/5.74	    (![X0 : $i]: ( (fool @ X0 @ X0) |  (fool @ X0 @ X0))),
39.92/5.74	    inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl93])).
39.92/5.74	thf(zip_derived_cl420, plain, (![X0 : $i]:  (fool @ X0 @ X0)),
39.92/5.74	    inference('simplify', [status(thm)], [zip_derived_cl392])).
39.92/5.74	thf(axiom_1, axiom,
39.92/5.74	  (mvalid @
39.92/5.74	   ( mbox @ fool @ ( mor @ ( ws @ a ) @ ( mor @ ( ws @ b ) @ ( ws @ c ) ) ) ))).
39.92/5.74	thf(zf_stmt_3, axiom,
39.92/5.74	  (![X4:$i,X6:$i]:
39.92/5.74	   ( ( ~( fool @ X4 @ X6 ) ) | ( ws @ c @ X6 ) | ( ws @ b @ X6 ) | 
39.92/5.74	     ( ws @ a @ X6 ) ))).
39.92/5.74	thf(zip_derived_cl8, plain,
39.92/5.74	    ( (((!!) @ (^[Y0 : $i]:
39.92/5.74	                  (((!!) @ (^[Y1 : $i]:
39.92/5.74	                              (((((~) @ (fool @ Y0 @ Y1))) | (ws @ c @ Y1) | 
39.92/5.74	                                (ws @ b @ Y1) | (ws @ a @ Y1)))))))))),
39.92/5.74	    inference('cnf', [status(esa)], [zf_stmt_3])).
39.92/5.74	thf(zip_derived_cl81, plain,
39.92/5.74	    (![X2 : $i]:
39.92/5.74	        (((!!) @ (^[Y0 : $i]:
39.92/5.74	                    (((((~) @ (fool @ X2 @ Y0))) | (ws @ c @ Y0) | 
39.92/5.74	                      (ws @ b @ Y0) | (ws @ a @ Y0))))))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])).
39.92/5.74	thf(zip_derived_cl82, plain,
39.92/5.74	    (![X2 : $i, X4 : $i]:
39.92/5.74	        (((((~) @ (fool @ X2 @ X4))) | (ws @ c @ X4) | (ws @ b @ X4) | 
39.92/5.74	          (ws @ a @ X4)))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl81])).
39.92/5.74	thf(zip_derived_cl83, plain,
39.92/5.74	    (![X2 : $i, X4 : $i]:
39.92/5.74	       (~ (fool @ X2 @ X4) |  (ws @ c @ X4) |  (ws @ b @ X4) |  (ws @ a @ X4))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl82])).
39.92/5.74	thf(zip_derived_cl624, plain,
39.92/5.74	    (![X0 : $i]: ( (ws @ a @ X0) |  (ws @ b @ X0) |  (ws @ c @ X0))),
39.92/5.74	    inference('sup-', [status(thm)], [zip_derived_cl420, zip_derived_cl83])).
39.92/5.74	thf(zip_derived_cl420, plain, (![X0 : $i]:  (fool @ X0 @ X0)),
39.92/5.74	    inference('simplify', [status(thm)], [zip_derived_cl392])).
39.92/5.74	thf(axiom_4, axiom, (mvalid @ ( mnot @ ( mbox @ a @ ( ws @ a ) ) ))).
39.92/5.74	thf(zf_stmt_4, axiom,
39.92/5.74	  (![X4:$i]: ( ~( ![X6:$i]: ( ( ~( a @ X4 @ X6 ) ) | ( ws @ a @ X6 ) ) ) ))).
39.92/5.74	thf(zip_derived_cl0, plain,
39.92/5.74	    ( (((!!) @ (^[Y0 : $i]:
39.92/5.74	                  (((~) @ (((!!) @ (^[Y1 : $i]:
39.92/5.74	                                      (((((~) @ (a @ Y0 @ Y1))) | (ws @ a @ 
39.92/5.74	                                        Y1)))))))))))),
39.92/5.74	    inference('cnf', [status(esa)], [zf_stmt_4])).
39.92/5.74	thf(zip_derived_cl57, plain,
39.92/5.74	    (![X2 : $i]:
39.92/5.74	       ~ (((!!) @ (^[Y0 : $i]: (((((~) @ (a @ X2 @ Y0))) | (ws @ a @ Y0))))))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])).
39.92/5.74	thf(zip_derived_cl58, plain,
39.92/5.74	    (![X2 : $i]:
39.92/5.74	       ~ (((((~) @ (a @ X2 @ ('#sk59' @ X2)))) | (ws @ a @ ('#sk59' @ X2))))),
39.92/5.74	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl57])).
39.92/5.74	thf(zip_derived_cl59, plain, (![X2 : $i]:  (a @ X2 @ ('#sk59' @ X2))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl58])).
39.92/5.74	thf(axiom_3_c_a, axiom,
39.92/5.74	  (mvalid @
39.92/5.74	   ( mbox @
39.92/5.74	     fool @ 
39.92/5.74	     ( mimplies @
39.92/5.74	       ( mnot @ ( ws @ c ) ) @ ( mbox @ a @ ( mnot @ ( ws @ c ) ) ) ) ))).
39.92/5.74	thf(zf_stmt_5, axiom,
39.92/5.74	  (![X4:$i,X6:$i]:
39.92/5.74	   ( ( ~( fool @ X4 @ X6 ) ) | 
39.92/5.74	     ( ![X8:$i]: ( ( ~( a @ X6 @ X8 ) ) | ( ~( ws @ c @ X8 ) ) ) ) | 
39.92/5.74	     ( ws @ c @ X6 ) ))).
39.92/5.74	thf(zip_derived_cl16, plain,
39.92/5.74	    ( (((!!) @ (^[Y0 : $i]:
39.92/5.74	                  (((!!) @ (^[Y1 : $i]:
39.92/5.74	                              (((((~) @ (fool @ Y0 @ Y1))) | 
39.92/5.74	                                (((!!) @ (^[Y2 : $i]:
39.92/5.74	                                            (((((~) @ (a @ Y1 @ Y2))) |
39.92/5.74	                                              (((~) @ (ws @ c @ Y2)))))))) | 
39.92/5.74	                                (ws @ c @ Y1)))))))))),
39.92/5.74	    inference('cnf', [status(esa)], [zf_stmt_5])).
39.92/5.74	thf(zip_derived_cl2019, plain,
39.92/5.74	    (![X2 : $i]:
39.92/5.74	        (((!!) @ (^[Y0 : $i]:
39.92/5.74	                    (((((~) @ (fool @ X2 @ Y0))) | 
39.92/5.74	                      (((!!) @ (^[Y1 : $i]:
39.92/5.74	                                  (((((~) @ (a @ Y0 @ Y1))) |
39.92/5.74	                                    (((~) @ (ws @ c @ Y1)))))))) | 
39.92/5.74	                      (ws @ c @ Y0))))))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl16])).
39.92/5.74	thf(zip_derived_cl2020, plain,
39.92/5.74	    (![X2 : $i, X4 : $i]:
39.92/5.74	        (((((~) @ (fool @ X2 @ X4))) | 
39.92/5.74	          (((!!) @ (^[Y0 : $i]:
39.92/5.74	                      (((((~) @ (a @ X4 @ Y0))) | (((~) @ (ws @ c @ Y0)))))))) | 
39.92/5.74	          (ws @ c @ X4)))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2019])).
39.92/5.74	thf(zip_derived_cl2021, plain,
39.92/5.74	    (![X2 : $i, X4 : $i]:
39.92/5.74	       (~ (fool @ X2 @ X4)
39.92/5.74	        |  (((!!) @ (^[Y0 : $i]:
39.92/5.74	                       (((((~) @ (a @ X4 @ Y0))) | (((~) @ (ws @ c @ Y0))))))))
39.92/5.74	        |  (ws @ c @ X4))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2020])).
39.92/5.74	thf(zip_derived_cl2022, plain,
39.92/5.74	    (![X2 : $i, X4 : $i, X6 : $i]:
39.92/5.74	       ( (((((~) @ (a @ X4 @ X6))) | (((~) @ (ws @ c @ X6)))))
39.92/5.74	        |  (ws @ c @ X4)
39.92/5.74	        | ~ (fool @ X2 @ X4))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2021])).
39.92/5.74	thf(zip_derived_cl2023, plain,
39.92/5.74	    (![X2 : $i, X4 : $i, X6 : $i]:
39.92/5.74	       (~ (a @ X4 @ X6)
39.92/5.74	        | ~ (ws @ c @ X6)
39.92/5.74	        | ~ (fool @ X2 @ X4)
39.92/5.74	        |  (ws @ c @ X4))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2022])).
39.92/5.74	thf(zip_derived_cl2024, plain,
39.92/5.74	    (![X0 : $i, X1 : $i]:
39.92/5.74	       ( (ws @ c @ X0) | ~ (fool @ X1 @ X0) | ~ (ws @ c @ ('#sk59' @ X0)))),
39.92/5.74	    inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl2023])).
39.92/5.74	thf(zip_derived_cl2220, plain,
39.92/5.74	    (![X0 : $i]: (~ (ws @ c @ ('#sk59' @ X0)) |  (ws @ c @ X0))),
39.92/5.74	    inference('sup-', [status(thm)], [zip_derived_cl420, zip_derived_cl2024])).
39.92/5.74	thf(zip_derived_cl2380, plain,
39.92/5.74	    (![X0 : $i]:
39.92/5.74	       ( (ws @ b @ ('#sk59' @ X0))
39.92/5.74	        |  (ws @ a @ ('#sk59' @ X0))
39.92/5.74	        |  (ws @ c @ X0))),
39.92/5.74	    inference('sup-', [status(thm)], [zip_derived_cl624, zip_derived_cl2220])).
39.92/5.74	thf(zip_derived_cl60, plain, (![X2 : $i]: ~ (ws @ a @ ('#sk59' @ X2))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl58])).
39.92/5.74	thf(zip_derived_cl2387, plain,
39.92/5.74	    (![X0 : $i]: ( (ws @ b @ ('#sk59' @ X0)) |  (ws @ c @ X0))),
39.92/5.74	    inference('demod', [status(thm)], [zip_derived_cl2380, zip_derived_cl60])).
39.92/5.74	thf(zip_derived_cl420, plain, (![X0 : $i]:  (fool @ X0 @ X0)),
39.92/5.74	    inference('simplify', [status(thm)], [zip_derived_cl392])).
39.92/5.74	thf(zip_derived_cl59, plain, (![X2 : $i]:  (a @ X2 @ ('#sk59' @ X2))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl58])).
39.92/5.74	thf(axiom_3_b_a, axiom,
39.92/5.74	  (mvalid @
39.92/5.74	   ( mbox @
39.92/5.74	     fool @ 
39.92/5.74	     ( mimplies @
39.92/5.74	       ( mnot @ ( ws @ b ) ) @ ( mbox @ a @ ( mnot @ ( ws @ b ) ) ) ) ))).
39.92/5.74	thf(zf_stmt_6, axiom,
39.92/5.74	  (![X4:$i,X6:$i]:
39.92/5.74	   ( ( ~( fool @ X4 @ X6 ) ) | 
39.92/5.74	     ( ![X8:$i]: ( ( ~( a @ X6 @ X8 ) ) | ( ~( ws @ b @ X8 ) ) ) ) | 
39.92/5.74	     ( ws @ b @ X6 ) ))).
39.92/5.74	thf(zip_derived_cl23, plain,
39.92/5.74	    ( (((!!) @ (^[Y0 : $i]:
39.92/5.74	                  (((!!) @ (^[Y1 : $i]:
39.92/5.74	                              (((((~) @ (fool @ Y0 @ Y1))) | 
39.92/5.74	                                (((!!) @ (^[Y2 : $i]:
39.92/5.74	                                            (((((~) @ (a @ Y1 @ Y2))) |
39.92/5.74	                                              (((~) @ (ws @ b @ Y2)))))))) | 
39.92/5.74	                                (ws @ b @ Y1)))))))))),
39.92/5.74	    inference('cnf', [status(esa)], [zf_stmt_6])).
39.92/5.74	thf(zip_derived_cl3213, plain,
39.92/5.74	    (![X2 : $i]:
39.92/5.74	        (((!!) @ (^[Y0 : $i]:
39.92/5.74	                    (((((~) @ (fool @ X2 @ Y0))) | 
39.92/5.74	                      (((!!) @ (^[Y1 : $i]:
39.92/5.74	                                  (((((~) @ (a @ Y0 @ Y1))) |
39.92/5.74	                                    (((~) @ (ws @ b @ Y1)))))))) | 
39.92/5.74	                      (ws @ b @ Y0))))))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])).
39.92/5.74	thf(zip_derived_cl3214, plain,
39.92/5.74	    (![X2 : $i, X4 : $i]:
39.92/5.74	        (((((~) @ (fool @ X2 @ X4))) | 
39.92/5.74	          (((!!) @ (^[Y0 : $i]:
39.92/5.74	                      (((((~) @ (a @ X4 @ Y0))) | (((~) @ (ws @ b @ Y0)))))))) | 
39.92/5.74	          (ws @ b @ X4)))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3213])).
39.92/5.74	thf(zip_derived_cl3215, plain,
39.92/5.74	    (![X2 : $i, X4 : $i]:
39.92/5.74	       (~ (fool @ X2 @ X4)
39.92/5.74	        |  (((!!) @ (^[Y0 : $i]:
39.92/5.74	                       (((((~) @ (a @ X4 @ Y0))) | (((~) @ (ws @ b @ Y0))))))))
39.92/5.74	        |  (ws @ b @ X4))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl3214])).
39.92/5.74	thf(zip_derived_cl3216, plain,
39.92/5.74	    (![X2 : $i, X4 : $i, X6 : $i]:
39.92/5.74	       ( (((((~) @ (a @ X4 @ X6))) | (((~) @ (ws @ b @ X6)))))
39.92/5.74	        |  (ws @ b @ X4)
39.92/5.74	        | ~ (fool @ X2 @ X4))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3215])).
39.92/5.74	thf(zip_derived_cl3217, plain,
39.92/5.74	    (![X2 : $i, X4 : $i, X6 : $i]:
39.92/5.74	       (~ (a @ X4 @ X6)
39.92/5.74	        | ~ (ws @ b @ X6)
39.92/5.74	        | ~ (fool @ X2 @ X4)
39.92/5.74	        |  (ws @ b @ X4))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl3216])).
39.92/5.74	thf(zip_derived_cl3218, plain,
39.92/5.74	    (![X0 : $i, X1 : $i]:
39.92/5.74	       ( (ws @ b @ X0) | ~ (fool @ X1 @ X0) | ~ (ws @ b @ ('#sk59' @ X0)))),
39.92/5.74	    inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl3217])).
39.92/5.74	thf(zip_derived_cl3971, plain,
39.92/5.74	    (![X0 : $i]: (~ (ws @ b @ ('#sk59' @ X0)) |  (ws @ b @ X0))),
39.92/5.74	    inference('sup-', [status(thm)], [zip_derived_cl420, zip_derived_cl3218])).
39.92/5.74	thf(zip_derived_cl4204, plain,
39.92/5.74	    (![X0 : $i]: ( (ws @ c @ X0) |  (ws @ b @ X0))),
39.92/5.74	    inference('sup-', [status(thm)], [zip_derived_cl2387, zip_derived_cl3971])).
39.92/5.74	thf(zip_derived_cl420, plain, (![X0 : $i]:  (fool @ X0 @ X0)),
39.92/5.74	    inference('simplify', [status(thm)], [zip_derived_cl392])).
39.92/5.74	thf(axiom_5, axiom, (mvalid @ ( mnot @ ( mbox @ b @ ( ws @ b ) ) ))).
39.92/5.74	thf(zf_stmt_7, axiom,
39.92/5.74	  (![X4:$i]: ( ~( ![X6:$i]: ( ( ~( b @ X4 @ X6 ) ) | ( ws @ b @ X6 ) ) ) ))).
39.92/5.74	thf(zip_derived_cl12, plain,
39.92/5.74	    ( (((!!) @ (^[Y0 : $i]:
39.92/5.74	                  (((~) @ (((!!) @ (^[Y1 : $i]:
39.92/5.74	                                      (((((~) @ (b @ Y0 @ Y1))) | (ws @ b @ 
39.92/5.74	                                        Y1)))))))))))),
39.92/5.74	    inference('cnf', [status(esa)], [zf_stmt_7])).
39.92/5.74	thf(zip_derived_cl65, plain,
39.92/5.74	    (![X2 : $i]:
39.92/5.74	       ~ (((!!) @ (^[Y0 : $i]: (((((~) @ (b @ X2 @ Y0))) | (ws @ b @ Y0))))))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])).
39.92/5.74	thf(zip_derived_cl66, plain,
39.92/5.74	    (![X2 : $i]:
39.92/5.74	       ~ (((((~) @ (b @ X2 @ ('#sk78' @ X2)))) | (ws @ b @ ('#sk78' @ X2))))),
39.92/5.74	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl65])).
39.92/5.74	thf(zip_derived_cl67, plain, (![X2 : $i]:  (b @ X2 @ ('#sk78' @ X2))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl66])).
39.92/5.74	thf(axiom_3_c_b, axiom,
39.92/5.74	  (mvalid @
39.92/5.74	   ( mbox @
39.92/5.74	     fool @ 
39.92/5.74	     ( mimplies @
39.92/5.74	       ( mnot @ ( ws @ c ) ) @ ( mbox @ b @ ( mnot @ ( ws @ c ) ) ) ) ))).
39.92/5.74	thf(zf_stmt_8, axiom,
39.92/5.74	  (![X4:$i,X6:$i]:
39.92/5.74	   ( ( ~( fool @ X4 @ X6 ) ) | 
39.92/5.74	     ( ![X8:$i]: ( ( ~( b @ X6 @ X8 ) ) | ( ~( ws @ c @ X8 ) ) ) ) | 
39.92/5.74	     ( ws @ c @ X6 ) ))).
39.92/5.74	thf(zip_derived_cl1, plain,
39.92/5.74	    ( (((!!) @ (^[Y0 : $i]:
39.92/5.74	                  (((!!) @ (^[Y1 : $i]:
39.92/5.74	                              (((((~) @ (fool @ Y0 @ Y1))) | 
39.92/5.74	                                (((!!) @ (^[Y2 : $i]:
39.92/5.74	                                            (((((~) @ (b @ Y1 @ Y2))) |
39.92/5.74	                                              (((~) @ (ws @ c @ Y2)))))))) | 
39.92/5.74	                                (ws @ c @ Y1)))))))))),
39.92/5.74	    inference('cnf', [status(esa)], [zf_stmt_8])).
39.92/5.74	thf(zip_derived_cl113, plain,
39.92/5.74	    (![X2 : $i]:
39.92/5.74	        (((!!) @ (^[Y0 : $i]:
39.92/5.74	                    (((((~) @ (fool @ X2 @ Y0))) | 
39.92/5.74	                      (((!!) @ (^[Y1 : $i]:
39.92/5.74	                                  (((((~) @ (b @ Y0 @ Y1))) |
39.92/5.74	                                    (((~) @ (ws @ c @ Y1)))))))) | 
39.92/5.74	                      (ws @ c @ Y0))))))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])).
39.92/5.74	thf(zip_derived_cl114, plain,
39.92/5.74	    (![X2 : $i, X4 : $i]:
39.92/5.74	        (((((~) @ (fool @ X2 @ X4))) | 
39.92/5.74	          (((!!) @ (^[Y0 : $i]:
39.92/5.74	                      (((((~) @ (b @ X4 @ Y0))) | (((~) @ (ws @ c @ Y0)))))))) | 
39.92/5.74	          (ws @ c @ X4)))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl113])).
39.92/5.74	thf(zip_derived_cl115, plain,
39.92/5.74	    (![X2 : $i, X4 : $i]:
39.92/5.74	       (~ (fool @ X2 @ X4)
39.92/5.74	        |  (((!!) @ (^[Y0 : $i]:
39.92/5.74	                       (((((~) @ (b @ X4 @ Y0))) | (((~) @ (ws @ c @ Y0))))))))
39.92/5.74	        |  (ws @ c @ X4))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl114])).
39.92/5.74	thf(zip_derived_cl116, plain,
39.92/5.74	    (![X2 : $i, X4 : $i, X6 : $i]:
39.92/5.74	       ( (((((~) @ (b @ X4 @ X6))) | (((~) @ (ws @ c @ X6)))))
39.92/5.74	        |  (ws @ c @ X4)
39.92/5.74	        | ~ (fool @ X2 @ X4))),
39.92/5.74	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl115])).
39.92/5.74	thf(zip_derived_cl117, plain,
39.92/5.74	    (![X2 : $i, X4 : $i, X6 : $i]:
39.92/5.74	       (~ (b @ X4 @ X6)
39.92/5.74	        | ~ (ws @ c @ X6)
39.92/5.74	        | ~ (fool @ X2 @ X4)
39.92/5.74	        |  (ws @ c @ X4))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl116])).
39.92/5.74	thf(zip_derived_cl118, plain,
39.92/5.74	    (![X0 : $i, X1 : $i]:
39.92/5.74	       ( (ws @ c @ X0) | ~ (fool @ X1 @ X0) | ~ (ws @ c @ ('#sk78' @ X0)))),
39.92/5.74	    inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl117])).
39.92/5.74	thf(zip_derived_cl623, plain,
39.92/5.74	    (![X0 : $i]: (~ (ws @ c @ ('#sk78' @ X0)) |  (ws @ c @ X0))),
39.92/5.74	    inference('sup-', [status(thm)], [zip_derived_cl420, zip_derived_cl118])).
39.92/5.74	thf(zip_derived_cl4511, plain,
39.92/5.74	    (![X0 : $i]: ( (ws @ b @ ('#sk78' @ X0)) |  (ws @ c @ X0))),
39.92/5.74	    inference('sup-', [status(thm)], [zip_derived_cl4204, zip_derived_cl623])).
39.92/5.74	thf(zip_derived_cl68, plain, (![X2 : $i]: ~ (ws @ b @ ('#sk78' @ X2))),
39.92/5.74	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl66])).
39.92/5.74	thf(zip_derived_cl4564, plain, (![X0 : $i]:  (ws @ c @ X0)),
39.92/5.74	    inference('clc', [status(thm)], [zip_derived_cl4511, zip_derived_cl68])).
39.92/5.74	thf(zip_derived_cl4565, plain, ($false),
39.92/5.74	    inference('demod', [status(thm)], [zip_derived_cl38, zip_derived_cl4564])).
39.92/5.74	
39.92/5.74	% SZS output end Refutation
39.92/5.74	
39.92/5.74	
39.92/5.74	% Terminating...
40.51/5.80	% Runner terminated.
40.51/5.80	% Zipperpin 1.5 exiting
40.51/5.80	EOF