0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.V6kFyxFZbH true
0.11/0.37	% Computer : n005.cluster.edu
0.11/0.37	% Model    : x86_64 x86_64
0.11/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.37	% Memory   : 8046.5625MB
0.11/0.37	% OS       : Linux 6.8.0-71-generic
0.11/0.38	% CPULimit : 1440
0.11/0.38	% WCLimit  : 180
0.11/0.38	% DateTime : Mon Jul 27 09:26:04 UTC 2026
0.11/0.38	% CPUTime  : 
0.11/0.38	% Running portfolio for 1440 s
0.11/0.38	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.11/0.38	% Number of cores: 8
0.11/0.38	% Python version: Python 3.12.3
0.11/0.39	% Running in HO mode
0.44/0.66	% Total configuration time : 828
0.44/0.66	% Estimated wc time : 1656
0.44/0.66	% Estimated cpu time (8 cpus) : 207.0
0.49/0.78	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.49/0.79	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.49/0.79	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.49/0.79	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.50/0.80	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.50/0.80	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.50/0.82	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.50/0.82	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
0.50/0.84	% Solved by lams/35_full_unif4.sh.
0.50/0.84	% done 18 iterations in 0.032s
0.50/0.84	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.50/0.84	% SZS output start Refutation
0.50/0.84	thf(ior_type, type, ior: ($i > $o) > ($i > $o) > $i > $o).
0.50/0.84	thf(c_type, type, c: $i > $o).
0.50/0.84	thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.50/0.84	thf(b_type, type, b: $i > $o).
0.50/0.84	thf(irel_type, type, irel: $i > $i > $o).
0.50/0.84	thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o).
0.50/0.84	thf('#sk2_type', type, '#sk2': $i).
0.50/0.84	thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o).
0.50/0.84	thf(iatom_type, type, iatom: ($i > $o) > $i > $o).
0.50/0.84	thf(a_type, type, a: $i > $o).
0.50/0.84	thf('#sk3_type', type, '#sk3': $i).
0.50/0.84	thf(iand_type, type, iand: ($i > $o) > ($i > $o) > $i > $o).
0.50/0.84	thf(ivalid_type, type, ivalid: ($i > $o) > $o).
0.50/0.84	thf('#sk1_type', type, '#sk1': $i).
0.50/0.84	thf(ivalid, axiom,(( ivalid  ) =
0.50/0.84	  (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
0.50/0.84	thf('0', plain,
0.50/0.84	    (( ivalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
0.50/0.84	    inference('simplify_rw_rule', [status(thm)], [ivalid])).
0.50/0.84	thf('1', plain,
0.50/0.84	    (( ivalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
0.50/0.84	    define([status(thm)])).
0.50/0.84	thf(ior, axiom,(( ior  ) =
0.50/0.84	  (^[P:( $i > $o ),Q:( $i > $o )]:
0.50/0.84	   ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) )))).
0.50/0.84	thf(mbox_s4, axiom,(( mbox_s4  ) =
0.50/0.84	  (^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) )))).
0.50/0.84	thf('2', plain,
0.50/0.84	    (( mbox_s4 ) =
0.50/0.84	     ( ^[P:( $i > $o ),X:$i]: ( ![Y:$i]: ( ( irel @ X @ Y ) => ( P @ Y ) ) ) )),
0.50/0.84	    inference('simplify_rw_rule', [status(thm)], [mbox_s4])).
0.50/0.84	thf('3', plain,
0.50/0.84	    (( mbox_s4 ) =
0.50/0.84	     ( ^[V_1:( $i > $o ),V_2:$i]:
0.50/0.84	       ( ![X4:$i]: ( ( irel @ V_2 @ X4 ) => ( V_1 @ X4 ) ) ) )),
0.50/0.84	    define([status(thm)])).
0.50/0.84	thf(mor, axiom,(( mor  ) =
0.50/0.84	  (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) )))).
0.50/0.84	thf('4', plain,
0.50/0.84	    (( mor ) =
0.50/0.84	     ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) | ( Y @ U ) ) )),
0.50/0.84	    inference('simplify_rw_rule', [status(thm)], [mor])).
0.50/0.84	thf('5', plain,
0.50/0.84	    (( mor ) =
0.50/0.84	     ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
0.50/0.84	       ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )),
0.50/0.84	    define([status(thm)])).
0.50/0.84	thf('6', plain,
0.50/0.84	    (( ior ) =
0.50/0.84	     ( ^[P:( $i > $o ),Q:( $i > $o )]:
0.50/0.84	       ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) )),
0.50/0.84	    inference('simplify_rw_rule', [status(thm)], [ior, '3', '5'])).
0.50/0.84	thf('7', plain,
0.50/0.84	    (( ior ) =
0.50/0.84	     ( ^[V_1:( $i > $o ),V_2:( $i > $o )]:
0.50/0.84	       ( mor @ ( mbox_s4 @ V_1 ) @ ( mbox_s4 @ V_2 ) ) )),
0.50/0.84	    define([status(thm)])).
0.50/0.84	thf(iand, axiom,(( iand  ) =
0.50/0.84	  (^[P:( $i > $o ),Q:( $i > $o )]: ( mand @ P @ Q )))).
0.50/0.84	thf(mand, axiom,(( mand  ) =
0.50/0.84	  (^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) & ( Y @ U ) )))).
0.50/0.84	thf('8', plain,
0.50/0.84	    (( mand ) =
0.50/0.84	     ( ^[X:( $i > $o ),Y:( $i > $o ),U:$i]: ( ( X @ U ) & ( Y @ U ) ) )),
0.50/0.84	    inference('simplify_rw_rule', [status(thm)], [mand])).
0.50/0.84	thf('9', plain,
0.50/0.84	    (( mand ) =
0.50/0.84	     ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
0.50/0.84	       ( ( V_1 @ V_3 ) & ( V_2 @ V_3 ) ) )),
0.50/0.84	    define([status(thm)])).
0.50/0.84	thf('10', plain,
0.50/0.84	    (( iand ) = ( ^[P:( $i > $o ),Q:( $i > $o )]: ( mand @ P @ Q ) )),
0.50/0.84	    inference('simplify_rw_rule', [status(thm)], [iand, '9'])).
0.50/0.84	thf('11', plain,
0.50/0.84	    (( iand ) = ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mand @ V_1 @ V_2 ) )),
0.50/0.84	    define([status(thm)])).
0.50/0.84	thf(iatom, axiom,(( iatom  ) = (^[P:( $i > $o )]: ( P )))).
0.50/0.84	thf('12', plain, (( iatom ) = ( ^[P:( $i > $o )]: ( P ) )),
0.50/0.84	    inference('simplify_rw_rule', [status(thm)], [iatom])).
0.50/0.84	thf('13', plain, (( iatom ) = ( ^[V_1:( $i > $o )]: ( V_1 ) )),
0.50/0.84	    define([status(thm)])).
0.50/0.84	thf(con, conjecture,
0.50/0.84	  (ivalid @
0.50/0.84	   ( ior @ ( iatom @ a ) @ ( iand @ ( iatom @ b ) @ ( iatom @ c ) ) ))).
0.50/0.84	thf(zf_stmt_0, conjecture,
0.50/0.84	  (![X4:$i]:
0.50/0.84	   ( ( ![X8:$i]: ( ( irel @ X4 @ X8 ) => ( ( c @ X8 ) & ( b @ X8 ) ) ) ) | 
0.50/0.84	     ( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( a @ X6 ) ) ) ))).
0.50/0.84	thf(zf_stmt_1, negated_conjecture,
0.50/0.84	  (~( ![X4:$i]:
0.50/0.84	      ( ( ![X8:$i]: ( ( irel @ X4 @ X8 ) => ( ( c @ X8 ) & ( b @ X8 ) ) ) ) | 
0.50/0.84	        ( ![X6:$i]: ( ( irel @ X4 @ X6 ) => ( a @ X6 ) ) ) ) )),
0.50/0.84	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
0.50/0.84	thf(zip_derived_cl4, plain,
0.50/0.84	    (~ (((!!) @ (^[Y0 : $i]:
0.50/0.84	                   (((((!!) @ (^[Y1 : $i]:
0.50/0.84	                                 (((irel @ Y0 @ Y1) =>
0.50/0.84	                                   (((c @ Y1) & (b @ Y1)))))))) |
0.50/0.84	                     (((!!) @ (^[Y1 : $i]: (((irel @ Y0 @ Y1) => (a @ Y1)))))))))))),
0.50/0.84	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.50/0.84	thf(zip_derived_cl7, plain,
0.50/0.84	    (~ (((((!!) @ (^[Y0 : $i]:
0.50/0.84	                     (((irel @ '#sk1' @ Y0) => (((c @ Y0) & (b @ Y0)))))))) |
0.50/0.84	         (((!!) @ (^[Y0 : $i]: (((irel @ '#sk1' @ Y0) => (a @ Y0))))))))),
0.50/0.84	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl4])).
0.50/0.84	thf(zip_derived_cl8, plain,
0.50/0.84	    (~ (((!!) @ (^[Y0 : $i]:
0.50/0.84	                   (((irel @ '#sk1' @ Y0) => (((c @ Y0) & (b @ Y0))))))))),
0.50/0.84	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])).
0.50/0.84	thf(zip_derived_cl10, plain,
0.50/0.84	    (~ (((irel @ '#sk1' @ '#sk2') => (((c @ '#sk2') & (b @ '#sk2')))))),
0.50/0.84	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl8])).
0.50/0.84	thf(axiom1, axiom, (ivalid @ ( iatom @ c ))).
0.50/0.84	thf(zf_stmt_2, axiom, (![X4:$i]: ( c @ X4 ))).
0.50/0.84	thf(zip_derived_cl2, plain, ( (((!!) @ (^[Y0 : $i]: (c @ Y0))))),
0.50/0.84	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.50/0.84	thf(zip_derived_cl5, plain, (![X2 : $i]:  (c @ X2)),
0.50/0.84	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])).
0.50/0.84	thf(zip_derived_cl12, plain,
0.50/0.84	    (~ (((irel @ '#sk1' @ '#sk2') => ((($true) & (b @ '#sk2')))))),
0.50/0.84	    inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl5])).
0.50/0.84	thf(zip_derived_cl13, plain,
0.50/0.84	    (~ (((irel @ '#sk1' @ '#sk2') => (b @ '#sk2')))),
0.50/0.84	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl12])).
0.50/0.84	thf(zip_derived_cl15, plain, (~ (b @ '#sk2')),
0.50/0.84	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])).
0.50/0.84	thf(zip_derived_cl9, plain,
0.50/0.84	    (~ (((!!) @ (^[Y0 : $i]: (((irel @ '#sk1' @ Y0) => (a @ Y0))))))),
0.50/0.84	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl7])).
0.50/0.84	thf(zip_derived_cl11, plain,
0.50/0.84	    (~ (((irel @ '#sk1' @ '#sk3') => (a @ '#sk3')))),
0.50/0.84	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
0.50/0.84	thf(zip_derived_cl16, plain, ( (irel @ '#sk1' @ '#sk3')),
0.50/0.84	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])).
0.50/0.84	thf(refl_axiom, axiom, (![X:$i]: ( irel @ X @ X ))).
0.50/0.84	thf(zip_derived_cl1, plain, ( (((!!) @ (^[Y0 : $i]: (irel @ Y0 @ Y0))))),
0.50/0.84	    inference('cnf', [status(esa)], [refl_axiom])).
0.50/0.84	thf(zip_derived_cl6, plain, (![X2 : $i]:  (irel @ X2 @ X2)),
0.50/0.84	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])).
0.50/0.84	thf(zip_derived_cl14, plain, ( (irel @ '#sk1' @ '#sk2')),
0.50/0.84	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])).
0.50/0.84	thf(axiom2, axiom,
0.50/0.84	  (ivalid @ ( ior @ ( ior @ ( iatom @ b ) @ ( iatom @ a ) ) @ ( iatom @ b ) ))).
0.50/0.84	thf(zf_stmt_3, axiom,
0.50/0.84	  (![X4:$i]:
0.50/0.84	   ( ( ![X12:$i]: ( ( irel @ X4 @ X12 ) => ( b @ X12 ) ) ) | 
0.50/0.84	     ( ![X6:$i]:
0.50/0.84	       ( ( irel @ X4 @ X6 ) =>
0.50/0.84	         ( ( ![X10:$i]: ( ( irel @ X6 @ X10 ) => ( a @ X10 ) ) ) | 
0.50/0.84	           ( ![X8:$i]: ( ( irel @ X6 @ X8 ) => ( b @ X8 ) ) ) ) ) ) ))).
0.50/0.84	thf(zip_derived_cl3, plain,
0.50/0.84	    ( (((!!) @ (^[Y0 : $i]:
0.50/0.84	                  (((((!!) @ (^[Y1 : $i]: (((irel @ Y0 @ Y1) => (b @ Y1)))))) |
0.50/0.84	                    (((!!) @ (^[Y1 : $i]:
0.50/0.84	                                (((irel @ Y0 @ Y1) =>
0.50/0.84	                                  (((((!!) @ (^[Y2 : $i]:
0.50/0.84	                                                (((irel @ Y1 @ Y2) => (a @ 
0.50/0.84	                                                  Y2)))))) |
0.50/0.84	                                    (((!!) @ (^[Y2 : $i]:
0.50/0.84	                                                (((irel @ Y1 @ Y2) => (b @ 
0.50/0.84	                                                  Y2))))))))))))))))))),
0.50/0.84	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.50/0.84	thf(zip_derived_cl35, plain,
0.50/0.84	    (![X2 : $i]:
0.50/0.84	        (((((!!) @ (^[Y0 : $i]: (((irel @ X2 @ Y0) => (b @ Y0)))))) |
0.50/0.84	          (((!!) @ (^[Y0 : $i]:
0.50/0.84	                      (((irel @ X2 @ Y0) =>
0.50/0.84	                        (((((!!) @ (^[Y1 : $i]:
0.50/0.84	                                      (((irel @ Y0 @ Y1) => (a @ Y1)))))) |
0.50/0.84	                          (((!!) @ (^[Y1 : $i]:
0.50/0.84	                                      (((irel @ Y0 @ Y1) => (b @ Y1)))))))))))))))),
0.50/0.84	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])).
0.50/0.84	thf(zip_derived_cl36, plain,
0.50/0.84	    (![X2 : $i]:
0.50/0.84	       ( (((!!) @ (^[Y0 : $i]: (((irel @ X2 @ Y0) => (b @ Y0))))))
0.50/0.84	        |  (((!!) @ (^[Y0 : $i]:
0.50/0.84	                       (((irel @ X2 @ Y0) =>
0.50/0.84	                         (((((!!) @ (^[Y1 : $i]:
0.50/0.84	                                       (((irel @ Y0 @ Y1) => (a @ Y1)))))) |
0.50/0.84	                           (((!!) @ (^[Y1 : $i]:
0.50/0.84	                                       (((irel @ Y0 @ Y1) => (b @ Y1))))))))))))))),
0.50/0.84	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl35])).
0.50/0.84	thf(zip_derived_cl37, plain,
0.50/0.84	    (![X2 : $i, X4 : $i]:
0.50/0.84	       ( (((irel @ X2 @ X4) => (b @ X4)))
0.50/0.84	        |  (((!!) @ (^[Y0 : $i]:
0.50/0.84	                       (((irel @ X2 @ Y0) =>
0.50/0.84	                         (((((!!) @ (^[Y1 : $i]:
0.50/0.84	                                       (((irel @ Y0 @ Y1) => (a @ Y1)))))) |
0.50/0.84	                           (((!!) @ (^[Y1 : $i]:
0.50/0.84	                                       (((irel @ Y0 @ Y1) => (b @ Y1))))))))))))))),
0.50/0.84	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl36])).
0.50/0.84	thf(zip_derived_cl38, plain,
0.50/0.84	    (![X2 : $i, X4 : $i]:
0.50/0.84	       (~ (irel @ X2 @ X4)
0.50/0.84	        |  (b @ X4)
0.50/0.84	        |  (((!!) @ (^[Y0 : $i]:
0.50/0.84	                       (((irel @ X2 @ Y0) =>
0.50/0.84	                         (((((!!) @ (^[Y1 : $i]:
0.50/0.84	                                       (((irel @ Y0 @ Y1) => (a @ Y1)))))) |
0.50/0.84	                           (((!!) @ (^[Y1 : $i]:
0.50/0.84	                                       (((irel @ Y0 @ Y1) => (b @ Y1))))))))))))))),
0.50/0.84	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl37])).
0.50/0.84	thf(zip_derived_cl39, plain,
0.50/0.84	    (![X2 : $i, X4 : $i, X6 : $i]:
0.50/0.84	       ( (((irel @ X2 @ X6) =>
0.50/0.84	           (((((!!) @ (^[Y0 : $i]: (((irel @ X6 @ Y0) => (a @ Y0)))))) |
0.50/0.84	             (((!!) @ (^[Y0 : $i]: (((irel @ X6 @ Y0) => (b @ Y0))))))))))
0.50/0.84	        |  (b @ X4)
0.50/0.84	        | ~ (irel @ X2 @ X4))),
0.50/0.84	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl38])).
0.50/0.84	thf(zip_derived_cl40, plain,
0.50/0.84	    (![X2 : $i, X4 : $i, X6 : $i]:
0.50/0.84	       (~ (irel @ X2 @ X6)
0.50/0.84	        |  (((((!!) @ (^[Y0 : $i]: (((irel @ X6 @ Y0) => (a @ Y0)))))) |
0.50/0.84	             (((!!) @ (^[Y0 : $i]: (((irel @ X6 @ Y0) => (b @ Y0))))))))
0.50/0.84	        | ~ (irel @ X2 @ X4)
0.50/0.84	        |  (b @ X4))),
0.50/0.84	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl39])).
0.50/0.84	thf(zip_derived_cl41, plain,
0.50/0.84	    (![X2 : $i, X4 : $i, X6 : $i]:
0.50/0.84	       ( (((!!) @ (^[Y0 : $i]: (((irel @ X6 @ Y0) => (a @ Y0))))))
0.50/0.84	        |  (((!!) @ (^[Y0 : $i]: (((irel @ X6 @ Y0) => (b @ Y0))))))
0.50/0.84	        |  (b @ X4)
0.50/0.84	        | ~ (irel @ X2 @ X4)
0.50/0.84	        | ~ (irel @ X2 @ X6))),
0.50/0.84	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl40])).
0.50/0.84	thf(zip_derived_cl42, plain,
0.50/0.84	    (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
0.50/0.84	       ( (((irel @ X6 @ X8) => (a @ X8)))
0.50/0.84	        | ~ (irel @ X2 @ X6)
0.50/0.84	        | ~ (irel @ X2 @ X4)
0.50/0.84	        |  (b @ X4)
0.50/0.84	        |  (((!!) @ (^[Y0 : $i]: (((irel @ X6 @ Y0) => (b @ Y0)))))))),
0.50/0.84	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl41])).
0.50/0.84	thf(zip_derived_cl43, plain,
0.50/0.84	    (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
0.50/0.84	       (~ (irel @ X6 @ X8)
0.50/0.84	        |  (a @ X8)
0.50/0.84	        |  (((!!) @ (^[Y0 : $i]: (((irel @ X6 @ Y0) => (b @ Y0))))))
0.50/0.84	        |  (b @ X4)
0.50/0.84	        | ~ (irel @ X2 @ X4)
0.50/0.84	        | ~ (irel @ X2 @ X6))),
0.50/0.84	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl42])).
0.50/0.84	thf(zip_derived_cl44, plain,
0.50/0.84	    (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
0.50/0.84	       ( (((irel @ X6 @ X10) => (b @ X10)))
0.50/0.84	        | ~ (irel @ X2 @ X6)
0.50/0.84	        | ~ (irel @ X2 @ X4)
0.50/0.84	        |  (b @ X4)
0.50/0.84	        |  (a @ X8)
0.50/0.84	        | ~ (irel @ X6 @ X8))),
0.50/0.84	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])).
0.50/0.84	thf(zip_derived_cl45, plain,
0.50/0.84	    (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
0.50/0.84	       (~ (irel @ X6 @ X10)
0.50/0.84	        |  (b @ X10)
0.50/0.84	        | ~ (irel @ X6 @ X8)
0.50/0.84	        |  (a @ X8)
0.50/0.84	        |  (b @ X4)
0.50/0.84	        | ~ (irel @ X2 @ X4)
0.50/0.84	        | ~ (irel @ X2 @ X6))),
0.50/0.84	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl44])).
0.50/0.84	thf(zip_derived_cl47, plain,
0.50/0.84	    (![X0 : $i, X1 : $i, X2 : $i]:
0.50/0.84	       (~ (irel @ X0 @ '#sk1')
0.50/0.84	        | ~ (irel @ X0 @ X1)
0.50/0.84	        |  (b @ X1)
0.50/0.84	        |  (a @ X2)
0.50/0.84	        | ~ (irel @ '#sk1' @ X2)
0.50/0.84	        |  (b @ '#sk2'))),
0.50/0.84	    inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl45])).
0.50/0.84	thf(zip_derived_cl15, plain, (~ (b @ '#sk2')),
0.50/0.84	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])).
0.50/0.84	thf(zip_derived_cl61, plain,
0.50/0.84	    (![X0 : $i, X1 : $i, X2 : $i]:
0.50/0.84	       (~ (irel @ X0 @ '#sk1')
0.50/0.84	        | ~ (irel @ X0 @ X1)
0.50/0.84	        |  (b @ X1)
0.50/0.84	        |  (a @ X2)
0.50/0.84	        | ~ (irel @ '#sk1' @ X2))),
0.50/0.84	    inference('demod', [status(thm)], [zip_derived_cl47, zip_derived_cl15])).
0.50/0.84	thf(zip_derived_cl70, plain,
0.50/0.84	    (![X0 : $i, X1 : $i]:
0.50/0.84	       (~ (irel @ '#sk1' @ X0)
0.50/0.84	        |  (a @ X0)
0.50/0.84	        |  (b @ X1)
0.50/0.84	        | ~ (irel @ '#sk1' @ X1))),
0.50/0.84	    inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl61])).
0.50/0.84	thf(zip_derived_cl74, plain,
0.50/0.84	    (![X0 : $i]: (~ (irel @ '#sk1' @ X0) |  (b @ X0) |  (a @ '#sk3'))),
0.50/0.84	    inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl70])).
0.50/0.84	thf(zip_derived_cl17, plain, (~ (a @ '#sk3')),
0.50/0.84	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])).
0.50/0.84	thf(zip_derived_cl80, plain,
0.50/0.84	    (![X0 : $i]: ( (b @ X0) | ~ (irel @ '#sk1' @ X0))),
0.50/0.84	    inference('clc', [status(thm)], [zip_derived_cl74, zip_derived_cl17])).
0.50/0.84	thf(zip_derived_cl82, plain, (~ (irel @ '#sk1' @ '#sk2')),
0.50/0.84	    inference('sup+', [status(thm)], [zip_derived_cl15, zip_derived_cl80])).
0.50/0.84	thf(zip_derived_cl14, plain, ( (irel @ '#sk1' @ '#sk2')),
0.50/0.84	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])).
0.50/0.84	thf(zip_derived_cl85, plain, ($false),
0.50/0.84	    inference('demod', [status(thm)], [zip_derived_cl82, zip_derived_cl14])).
0.50/0.84	
0.50/0.84	% SZS output end Refutation
0.50/0.84	
0.50/0.84	
0.50/0.84	% Terminating...
1.78/0.91	% Runner terminated.
1.78/0.93	% Zipperpin 1.5 exiting
1.78/0.94	EOF