0.11/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.78vA7MFq4Q true
0.13/0.34	% Computer : n027.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit : 960
0.13/0.34	% WCLimit  : 120
0.13/0.34	% DateTime : Tue Aug  9 04:31:36 EDT 2022
0.13/0.34	% CPUTime  : 
0.13/0.34	% Running portfolio for 960 s
0.13/0.34	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.13/0.34	% Number of cores: 8
0.13/0.34	% Python version: Python 3.6.8
0.13/0.34	% Running in HO mode
0.55/0.65	% Total configuration time : 828
0.55/0.65	% Estimated wc time : 1656
0.55/0.65	% Estimated cpu time (8 cpus) : 207.0
0.55/0.68	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.55/0.69	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.55/0.71	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.55/0.72	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.55/0.74	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.55/0.75	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.55/0.75	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.55/0.76	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
0.55/0.77	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
0.55/0.77	% Solved by lams/35_full_unif4.sh.
0.55/0.77	% done 22 iterations in 0.034s
0.55/0.77	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.55/0.77	% SZS output start Refutation
0.55/0.77	thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
0.55/0.77	thf(p_type, type, p: $i > $o).
0.55/0.77	thf(mvalid_type, type, mvalid: ($i > $o) > $o).
0.55/0.77	thf('#sk3_type', type, '#sk3': $i).
0.55/0.77	thf(mdia_s5_type, type, mdia_s5: ($i > $o) > $i > $o).
0.55/0.77	thf(msymmetric_type, type, msymmetric: ($i > $i > $o) > $o).
0.55/0.77	thf(mtransitive_type, type, mtransitive: ($i > $i > $o) > $o).
0.55/0.77	thf(rel_s5_type, type, rel_s5: $i > $i > $o).
0.55/0.77	thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
0.55/0.77	thf(mbox_s5_type, type, mbox_s5: ($i > $o) > $i > $o).
0.55/0.77	thf('#sk1_type', type, '#sk1': $i).
0.55/0.77	thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
0.55/0.77	thf('#sk2_type', type, '#sk2': $i).
0.55/0.77	thf(mdia_s5, axiom,(( mdia_s5  ) =
0.55/0.77	  (^[Phi:( $i > $o )]: ( mnot @ ( mbox_s5 @ ( mnot @ Phi ) ) )))).
0.55/0.77	thf(mbox_s5, axiom,(( mbox_s5  ) =
0.55/0.77	  (^[Phi:( $i > $o ),W:$i]:
0.55/0.77	   ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s5 @ W @ V ) ) ) )))).
0.55/0.77	thf('0', plain,
0.55/0.77	    (( mbox_s5 ) =
0.55/0.77	     ( ^[Phi:( $i > $o ),W:$i]:
0.55/0.77	       ( ![V:$i]: ( ( Phi @ V ) | ( ~( rel_s5 @ W @ V ) ) ) ) )),
0.55/0.77	    inference('simplify_rw_rule', [status(thm)], [mbox_s5])).
0.55/0.77	thf('1', plain,
0.55/0.77	    (( mbox_s5 ) =
0.55/0.77	     ( ^[V_1:( $i > $o ),V_2:$i]:
0.55/0.77	       ( ![X4:$i]: ( ( V_1 @ X4 ) | ( ~( rel_s5 @ V_2 @ X4 ) ) ) ) )),
0.55/0.77	    define([status(thm)])).
0.55/0.77	thf(mnot, axiom,(( mnot  ) = (^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) )))).
0.55/0.77	thf('2', plain, (( mnot ) = ( ^[Phi:( $i > $o ),W:$i]: ( ~( Phi @ W ) ) )),
0.55/0.77	    inference('simplify_rw_rule', [status(thm)], [mnot])).
0.55/0.77	thf('3', plain,
0.55/0.77	    (( mnot ) = ( ^[V_1:( $i > $o ),V_2:$i]: ( ~( V_1 @ V_2 ) ) )),
0.55/0.77	    define([status(thm)])).
0.55/0.77	thf('4', plain,
0.55/0.77	    (( mdia_s5 ) =
0.55/0.77	     ( ^[Phi:( $i > $o )]: ( mnot @ ( mbox_s5 @ ( mnot @ Phi ) ) ) )),
0.55/0.77	    inference('simplify_rw_rule', [status(thm)], [mdia_s5, '1', '3'])).
0.55/0.77	thf('5', plain,
0.55/0.77	    (( mdia_s5 ) =
0.55/0.77	     ( ^[V_1:( $i > $o )]: ( mnot @ ( mbox_s5 @ ( mnot @ V_1 ) ) ) )),
0.55/0.77	    define([status(thm)])).
0.55/0.77	thf(mvalid, axiom,(( mvalid  ) =
0.55/0.77	  (^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) )))).
0.55/0.77	thf('6', plain,
0.55/0.77	    (( mvalid ) = ( ^[Phi:( $i > $o )]: ( ![W:$i]: ( Phi @ W ) ) )),
0.55/0.77	    inference('simplify_rw_rule', [status(thm)], [mvalid])).
0.55/0.77	thf('7', plain,
0.55/0.77	    (( mvalid ) = ( ^[V_1:( $i > $o )]: ( ![X4:$i]: ( V_1 @ X4 ) ) )),
0.55/0.77	    define([status(thm)])).
0.55/0.77	thf(mimplies, axiom,(( mimplies  ) =
0.55/0.77	  (^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi )))).
0.55/0.77	thf(mor, axiom,(( mor  ) =
0.55/0.77	  (^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) )))).
0.55/0.77	thf('8', plain,
0.55/0.77	    (( mor ) =
0.55/0.77	     ( ^[Phi:( $i > $o ),Psi:( $i > $o ),W:$i]: ( ( Phi @ W ) | ( Psi @ W ) ) )),
0.55/0.77	    inference('simplify_rw_rule', [status(thm)], [mor])).
0.55/0.77	thf('9', plain,
0.55/0.77	    (( mor ) =
0.55/0.77	     ( ^[V_1:( $i > $o ),V_2:( $i > $o ),V_3:$i]:
0.55/0.77	       ( ( V_1 @ V_3 ) | ( V_2 @ V_3 ) ) )),
0.55/0.77	    define([status(thm)])).
0.55/0.77	thf('10', plain,
0.55/0.77	    (( mimplies ) =
0.55/0.77	     ( ^[Phi:( $i > $o ),Psi:( $i > $o )]: ( mor @ ( mnot @ Phi ) @ Psi ) )),
0.55/0.77	    inference('simplify_rw_rule', [status(thm)], [mimplies, '9', '3'])).
0.55/0.77	thf('11', plain,
0.55/0.77	    (( mimplies ) =
0.55/0.77	     ( ^[V_1:( $i > $o ),V_2:( $i > $o )]: ( mor @ ( mnot @ V_1 ) @ V_2 ) )),
0.55/0.77	    define([status(thm)])).
0.55/0.77	thf(prove, conjecture,
0.55/0.77	  (mvalid @
0.55/0.77	   ( mimplies @
0.55/0.77	     ( mbox_s5 @
0.55/0.77	       ( mimplies @
0.55/0.77	         ( mbox_s5 @ ( mimplies @ p @ ( mbox_s5 @ p ) ) ) @ ( mbox_s5 @ p ) ) ) @ 
0.55/0.77	     ( mimplies @ ( mdia_s5 @ ( mbox_s5 @ p ) ) @ ( mbox_s5 @ p ) ) ))).
0.55/0.77	thf(zf_stmt_0, conjecture,
0.55/0.77	  (![X4:$i]:
0.55/0.77	   ( ( ![X18:$i]: ( ( ~( rel_s5 @ X4 @ X18 ) ) | ( p @ X18 ) ) ) | 
0.55/0.77	     ( ![X14:$i]:
0.55/0.77	       ( ( ~( rel_s5 @ X4 @ X14 ) ) | 
0.55/0.77	         ( ~( ![X16:$i]: ( ( ~( rel_s5 @ X14 @ X16 ) ) | ( p @ X16 ) ) ) ) ) ) | 
0.55/0.77	     ( ~( ![X6:$i]:
0.55/0.77	          ( ( ~( rel_s5 @ X4 @ X6 ) ) | 
0.55/0.77	            ( ![X12:$i]: ( ( ~( rel_s5 @ X6 @ X12 ) ) | ( p @ X12 ) ) ) | 
0.55/0.77	            ( ~( ![X8:$i]:
0.55/0.77	                 ( ( ~( rel_s5 @ X6 @ X8 ) ) | 
0.55/0.77	                   ( ![X10:$i]: ( ( ~( rel_s5 @ X8 @ X10 ) ) | ( p @ X10 ) ) ) | 
0.55/0.77	                   ( ~( p @ X8 ) ) ) ) ) ) ) ) ))).
0.55/0.77	thf(zf_stmt_1, negated_conjecture,
0.55/0.77	  (~( ![X4:$i]:
0.55/0.77	      ( ( ![X18:$i]: ( ( ~( rel_s5 @ X4 @ X18 ) ) | ( p @ X18 ) ) ) | 
0.55/0.77	        ( ![X14:$i]:
0.55/0.77	          ( ( ~( rel_s5 @ X4 @ X14 ) ) | 
0.55/0.77	            ( ~( ![X16:$i]: ( ( ~( rel_s5 @ X14 @ X16 ) ) | ( p @ X16 ) ) ) ) ) ) | 
0.55/0.77	        ( ~( ![X6:$i]:
0.55/0.77	             ( ( ~( rel_s5 @ X4 @ X6 ) ) | 
0.55/0.77	               ( ![X12:$i]: ( ( ~( rel_s5 @ X6 @ X12 ) ) | ( p @ X12 ) ) ) | 
0.55/0.77	               ( ~( ![X8:$i]:
0.55/0.77	                    ( ( ~( rel_s5 @ X6 @ X8 ) ) | 
0.55/0.77	                      ( ![X10:$i]:
0.55/0.77	                        ( ( ~( rel_s5 @ X8 @ X10 ) ) | ( p @ X10 ) ) ) | 
0.55/0.77	                      ( ~( p @ X8 ) ) ) ) ) ) ) ) ) )),
0.55/0.77	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
0.55/0.77	thf(zip_derived_cl3, plain,
0.55/0.77	    (~ (((!!) @ (^[Y0 : $i]:
0.55/0.77	                   (((((!!) @ (^[Y1 : $i]:
0.55/0.77	                                 (((((~) @ (rel_s5 @ Y0 @ Y1))) | (p @ Y1)))))) | 
0.55/0.77	                     (((!!) @ (^[Y1 : $i]:
0.55/0.77	                                 (((((~) @ (rel_s5 @ Y0 @ Y1))) |
0.55/0.77	                                   (((~) @ (((!!) @ (^[Y2 : $i]:
0.55/0.77	                                                       (((((~) @ (rel_s5 @ 
0.55/0.77	                                                                  Y1 @ Y2))) |
0.55/0.77	                                                         (p @ Y2))))))))))))) | 
0.55/0.77	                     (((~) @ (((!!) @ (^[Y1 : $i]:
0.55/0.77	                                         (((((~) @ (rel_s5 @ Y0 @ Y1))) | 
0.55/0.77	                                           (((!!) @ (^[Y2 : $i]:
0.55/0.77	                                                       (((((~) @ (rel_s5 @ 
0.55/0.77	                                                                  Y1 @ Y2))) |
0.55/0.77	                                                         (p @ Y2)))))) | 
0.55/0.77	                                           (((~) @ (((!!) @ (^[Y2 : $i]:
0.55/0.77	                                                               (((((~) @ (
0.55/0.77	                                                                   rel_s5 @ 
0.55/0.77	                                                                   Y1 @ Y2))) | 
0.55/0.77	                                                                 (((!!) @ (
0.55/0.77	                                                                   ^[Y3 : $i]:
0.55/0.77	                                                                    ((
0.55/0.77	                                                                    ((
0.55/0.77	                                                                    (~) @ (
0.55/0.77	                                                                    rel_s5 @ 
0.55/0.77	                                                                    Y2 @ Y3))) |
0.55/0.77	                                                                    (p @ Y3)))))) | 
0.55/0.77	                                                                 (((~) @ (
0.55/0.77	                                                                   p @ Y2))))))))))))))))))))))),
0.55/0.77	    inference('cnf', [status(esa)], [zf_stmt_1])).
0.55/0.77	thf(zip_derived_cl25, plain,
0.55/0.77	    (~ (((((!!) @ (^[Y0 : $i]:
0.55/0.77	                     (((((~) @ (rel_s5 @ '#sk1' @ Y0))) | (p @ Y0)))))) | 
0.55/0.77	         (((!!) @ (^[Y0 : $i]:
0.55/0.77	                     (((((~) @ (rel_s5 @ '#sk1' @ Y0))) |
0.55/0.77	                       (((~) @ (((!!) @ (^[Y1 : $i]:
0.55/0.77	                                           (((((~) @ (rel_s5 @ Y0 @ Y1))) |
0.55/0.77	                                             (p @ Y1))))))))))))) | 
0.55/0.77	         (((~) @ (((!!) @ (^[Y0 : $i]:
0.55/0.77	                             (((((~) @ (rel_s5 @ '#sk1' @ Y0))) | 
0.55/0.77	                               (((!!) @ (^[Y1 : $i]:
0.55/0.77	                                           (((((~) @ (rel_s5 @ Y0 @ Y1))) |
0.55/0.77	                                             (p @ Y1)))))) | 
0.55/0.77	                               (((~) @ (((!!) @ (^[Y1 : $i]:
0.55/0.77	                                                   (((((~) @ (rel_s5 @ Y0 @ 
0.55/0.77	                                                              Y1))) | 
0.55/0.77	                                                     (((!!) @ (^[Y2 : $i]:
0.55/0.77	                                                                 ((((
0.55/0.77	                                                                   (~) @ (
0.55/0.77	                                                                   rel_s5 @ 
0.55/0.77	                                                                   Y1 @ Y2))) |
0.55/0.77	                                                                   (p @ Y2)))))) | 
0.55/0.77	                                                     (((~) @ (p @ Y1)))))))))))))))))))),
0.55/0.77	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])).
0.55/0.77	thf(zip_derived_cl27, plain,
0.55/0.77	    (~ (((!!) @ (^[Y0 : $i]:
0.55/0.77	                   (((((~) @ (rel_s5 @ '#sk1' @ Y0))) |
0.55/0.77	                     (((~) @ (((!!) @ (^[Y1 : $i]:
0.55/0.77	                                         (((((~) @ (rel_s5 @ Y0 @ Y1))) |
0.55/0.77	                                           (p @ Y1)))))))))))))),
0.55/0.77	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl25])).
0.55/0.77	thf(zip_derived_cl30, plain,
0.55/0.77	    (~ (((((~) @ (rel_s5 @ '#sk1' @ '#sk3'))) |
0.55/0.77	         (((~) @ (((!!) @ (^[Y0 : $i]:
0.55/0.77	                             (((((~) @ (rel_s5 @ '#sk3' @ Y0))) | (p @ Y0))))))))))),
0.55/0.77	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl27])).
0.55/0.77	thf(zip_derived_cl35, plain,
0.55/0.77	    ( (((!!) @ (^[Y0 : $i]: (((((~) @ (rel_s5 @ '#sk3' @ Y0))) | (p @ Y0))))))),
0.55/0.77	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl30])).
0.55/0.77	thf(zip_derived_cl37, plain,
0.55/0.77	    (![X2 : $i]:  (((((~) @ (rel_s5 @ '#sk3' @ X2))) | (p @ X2)))),
0.55/0.77	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl35])).
0.55/0.77	thf(zip_derived_cl39, plain,
0.55/0.77	    (![X2 : $i]: (~ (rel_s5 @ '#sk3' @ X2) |  (p @ X2))),
0.55/0.77	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl37])).
0.55/0.77	thf(zip_derived_cl26, plain,
0.55/0.77	    (~ (((!!) @ (^[Y0 : $i]: (((((~) @ (rel_s5 @ '#sk1' @ Y0))) | (p @ Y0))))))),
0.55/0.77	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl25])).
0.55/0.77	thf(zip_derived_cl29, plain,
0.55/0.77	    (~ (((((~) @ (rel_s5 @ '#sk1' @ '#sk2'))) | (p @ '#sk2')))),
0.55/0.77	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl26])).
0.55/0.77	thf(zip_derived_cl33, plain, (~ (p @ '#sk2')),
0.55/0.77	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl29])).
0.55/0.77	thf(zip_derived_cl64, plain, (~ (rel_s5 @ '#sk3' @ '#sk2')),
0.55/0.77	    inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl33])).
0.55/0.77	thf(zip_derived_cl34, plain, ( (rel_s5 @ '#sk1' @ '#sk3')),
0.55/0.77	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl30])).
0.55/0.77	thf(msymmetric, axiom,(( msymmetric  ) =
0.55/0.77	  (^[R:( $i > $i > $o )]:
0.55/0.77	   ( ![S:$i,T:$i]: ( ( R @ S @ T ) => ( R @ T @ S ) ) )))).
0.55/0.77	thf('12', plain,
0.55/0.77	    (( msymmetric ) =
0.55/0.77	     ( ^[R:( $i > $i > $o )]:
0.55/0.77	       ( ![S:$i,T:$i]: ( ( R @ S @ T ) => ( R @ T @ S ) ) ) )),
0.55/0.77	    inference('simplify_rw_rule', [status(thm)], [msymmetric])).
0.55/0.77	thf('13', plain,
0.55/0.77	    (( msymmetric ) =
0.55/0.77	     ( ^[V_1:( $i > $i > $o )]:
0.55/0.77	       ( ![X4:$i,X6:$i]: ( ( V_1 @ X4 @ X6 ) => ( V_1 @ X6 @ X4 ) ) ) )),
0.55/0.77	    define([status(thm)])).thf(a3, axiom, (msymmetric @ rel_s5)).
0.55/0.77	thf(zf_stmt_2, axiom,
0.55/0.77	  (![X4:$i,X6:$i]: ( ( rel_s5 @ X4 @ X6 ) => ( rel_s5 @ X6 @ X4 ) ))).
0.55/0.77	thf(zip_derived_cl0, plain,
0.55/0.77	    ( (((!!) @ (^[Y0 : $i]:
0.55/0.77	                  (((!!) @ (^[Y1 : $i]:
0.55/0.77	                              (((rel_s5 @ Y0 @ Y1) => (rel_s5 @ Y1 @ Y0)))))))))),
0.55/0.77	    inference('cnf', [status(esa)], [zf_stmt_2])).
0.55/0.77	thf(zip_derived_cl5, plain,
0.55/0.77	    (![X2 : $i]:
0.55/0.77	        (((!!) @ (^[Y0 : $i]: (((rel_s5 @ X2 @ Y0) => (rel_s5 @ Y0 @ X2))))))),
0.55/0.77	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])).
0.55/0.77	thf(zip_derived_cl6, plain,
0.55/0.77	    (![X2 : $i, X4 : $i]:  (((rel_s5 @ X2 @ X4) => (rel_s5 @ X4 @ X2)))),
0.55/0.77	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
0.55/0.77	thf(zip_derived_cl7, plain,
0.55/0.77	    (![X2 : $i, X4 : $i]: (~ (rel_s5 @ X2 @ X4) |  (rel_s5 @ X4 @ X2))),
0.55/0.77	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl6])).
0.55/0.77	thf(zip_derived_cl53, plain, ( (rel_s5 @ '#sk3' @ '#sk1')),
0.55/0.77	    inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl7])).
0.55/0.77	thf(zip_derived_cl32, plain, ( (rel_s5 @ '#sk1' @ '#sk2')),
0.55/0.77	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl29])).
0.55/0.77	thf(mtransitive, axiom,(( mtransitive  ) =
0.55/0.77	  (^[R:( $i > $i > $o )]:
0.55/0.77	   ( ![S:$i,T:$i,U:$i]:
0.55/0.77	     ( ( ( R @ S @ T ) & ( R @ T @ U ) ) => ( R @ S @ U ) ) )))).
0.55/0.77	thf('14', plain,
0.55/0.77	    (( mtransitive ) =
0.55/0.77	     ( ^[R:( $i > $i > $o )]:
0.55/0.77	       ( ![S:$i,T:$i,U:$i]:
0.55/0.77	         ( ( ( R @ S @ T ) & ( R @ T @ U ) ) => ( R @ S @ U ) ) ) )),
0.55/0.77	    inference('simplify_rw_rule', [status(thm)], [mtransitive])).
0.55/0.77	thf('15', plain,
0.55/0.77	    (( mtransitive ) =
0.55/0.77	     ( ^[V_1:( $i > $i > $o )]:
0.55/0.77	       ( ![X4:$i,X6:$i,X8:$i]:
0.55/0.77	         ( ( ( V_1 @ X4 @ X6 ) & ( V_1 @ X6 @ X8 ) ) => ( V_1 @ X4 @ X8 ) ) ) )),
0.55/0.77	    define([status(thm)])).thf(a2, axiom, (mtransitive @ rel_s5)).
0.55/0.77	thf(zf_stmt_3, axiom,
0.55/0.77	  (![X4:$i,X6:$i,X8:$i]:
0.55/0.77	   ( ( ( rel_s5 @ X6 @ X8 ) & ( rel_s5 @ X4 @ X6 ) ) => ( rel_s5 @ X4 @ X8 ) ))).
0.55/0.77	thf(zip_derived_cl2, plain,
0.55/0.77	    ( (((!!) @ (^[Y0 : $i]:
0.55/0.77	                  (((!!) @ (^[Y1 : $i]:
0.55/0.77	                              (((!!) @ (^[Y2 : $i]:
0.55/0.77	                                          (((((rel_s5 @ Y1 @ Y2) & (rel_s5 @ 
0.55/0.77	                                              Y0 @ Y1))) =>
0.55/0.77	                                            (rel_s5 @ Y0 @ Y2))))))))))))),
0.55/0.77	    inference('cnf', [status(esa)], [zf_stmt_3])).
0.55/0.77	thf(zip_derived_cl12, plain,
0.55/0.77	    (![X2 : $i]:
0.55/0.77	        (((!!) @ (^[Y0 : $i]:
0.55/0.77	                    (((!!) @ (^[Y1 : $i]:
0.55/0.77	                                (((((rel_s5 @ Y0 @ Y1) & (rel_s5 @ X2 @ Y0))) =>
0.55/0.77	                                  (rel_s5 @ X2 @ Y1)))))))))),
0.55/0.77	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])).
0.55/0.77	thf(zip_derived_cl13, plain,
0.55/0.77	    (![X2 : $i, X4 : $i]:
0.55/0.77	        (((!!) @ (^[Y0 : $i]:
0.55/0.77	                    (((((rel_s5 @ X4 @ Y0) & (rel_s5 @ X2 @ X4))) =>
0.55/0.77	                      (rel_s5 @ X2 @ Y0))))))),
0.55/0.77	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])).
0.55/0.77	thf(zip_derived_cl14, plain,
0.55/0.77	    (![X2 : $i, X4 : $i, X6 : $i]:
0.55/0.77	        (((((rel_s5 @ X4 @ X6) & (rel_s5 @ X2 @ X4))) => (rel_s5 @ X2 @ X6)))),
0.55/0.77	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])).
0.55/0.77	thf(zip_derived_cl15, plain,
0.55/0.77	    (![X2 : $i, X4 : $i, X6 : $i]:
0.55/0.77	       (~ (((rel_s5 @ X4 @ X6) & (rel_s5 @ X2 @ X4))) |  (rel_s5 @ X2 @ X6))),
0.55/0.77	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])).
0.55/0.77	thf(zip_derived_cl16, plain,
0.55/0.77	    (![X2 : $i, X4 : $i, X6 : $i]:
0.55/0.77	       (~ (rel_s5 @ X4 @ X6) | ~ (rel_s5 @ X2 @ X4) |  (rel_s5 @ X2 @ X6))),
0.55/0.77	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl15])).
0.55/0.77	thf(zip_derived_cl48, plain,
0.55/0.77	    (![X0 : $i]: ( (rel_s5 @ X0 @ '#sk2') | ~ (rel_s5 @ X0 @ '#sk1'))),
0.55/0.77	    inference('sup-', [status(thm)], [zip_derived_cl32, zip_derived_cl16])).
0.55/0.77	thf(zip_derived_cl68, plain, ( (rel_s5 @ '#sk3' @ '#sk2')),
0.55/0.77	    inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl48])).
0.55/0.77	thf(zip_derived_cl74, plain, ($false),
0.55/0.77	    inference('demod', [status(thm)], [zip_derived_cl64, zip_derived_cl68])).
0.55/0.77	
0.55/0.77	% SZS output end Refutation
0.55/0.77	
0.55/0.77	
0.55/0.77	% Terminating...
0.58/0.84	% Runner terminated.
0.58/0.85	% Zipperpin 1.5 exiting
0.58/0.86	EOF