0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.iggP88O5pI true
0.13/0.34	% Computer : n012.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 02:58:44 EDT 2022
0.13/0.34	% CPUTime  : 
0.13/0.34	% Running portfolio for 960 s
0.13/0.34	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.34	% Number of cores: 8
0.13/0.34	% Python version: Python 3.6.8
0.13/0.35	% Running in HO mode
0.55/0.75	% Total configuration time : 828
0.55/0.75	% Estimated wc time : 1656
0.55/0.75	% Estimated cpu time (8 cpus) : 207.0
0.55/0.83	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
0.55/0.83	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
0.55/0.86	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
0.55/0.88	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
0.56/0.96	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
0.56/0.98	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
2.43/1.15	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
2.43/1.17	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
164.96/22.10	% Solved by lams/30_sp5.sh.
164.96/22.10	% done 12 iterations in 20.826s
164.96/22.10	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
164.96/22.10	% SZS output start Refutation
164.96/22.10	thf('#sk3556_type', type, '#sk3556': $i > $o).
164.96/22.10	thf('#sk3557_type', type, '#sk3557': $i > $o).
164.96/22.10	thf('#sk3555_type', type, '#sk3555': $i > $o).
164.96/22.10	thf(cTHM120D_pme, conjecture,
164.96/22.10	  (?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ),
164.96/22.10	     Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]:
164.96/22.10	   ( ( ~( ![Xw_2:$i]:
164.96/22.10	          ( ( Xr_28 @
164.96/22.10	              ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) | 
164.96/22.10	            ( Xr_27 @
164.96/22.10	              ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) ) ) ) & 
164.96/22.10	     ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]:
164.96/22.10	       ( ( ( ![Xw_2:$i]:
164.96/22.10	             ( ( Xr_27 @ Xy @ Xz @ Xw_2 ) | ( Xr_28 @ Xy @ Xz @ Xw_2 ) ) ) & 
164.96/22.10	           ( ![Xw_2:$i]:
164.96/22.10	             ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) =>
164.96/22.10	         ( ![Xw_2:$i]:
164.96/22.10	           ( ( Xr_28 @ Xx @ Xz @ Xw_2 ) | ( Xr_27 @ Xx @ Xz @ Xw_2 ) ) ) ) ) & 
164.96/22.10	     ( ![Xx:( $i > $o ),Xw_2:$i]:
164.96/22.10	       ( ( Xr_28 @ Xx @ Xx @ Xw_2 ) | ( Xr_27 @ Xx @ Xx @ Xw_2 ) ) ) ))).
164.96/22.10	thf(zf_stmt_0, negated_conjecture,
164.96/22.10	  (~( ?[Xr_28:( ( $i > $o ) > ( $i > $o ) > $i > $o ),
164.96/22.10	        Xr_27:( ( $i > $o ) > ( $i > $o ) > $i > $o )]:
164.96/22.10	      ( ( ~( ![Xw_2:$i]:
164.96/22.10	             ( ( Xr_28 @
164.96/22.10	                 ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) | 
164.96/22.10	               ( Xr_27 @
164.96/22.10	                 ( ^[Xx:$i]: ( $true ) ) @ ( ^[Xx:$i]: ( $false ) ) @ Xw_2 ) ) ) ) & 
164.96/22.10	        ( ![Xx:( $i > $o ),Xy:( $i > $o ),Xz:( $i > $o )]:
164.96/22.10	          ( ( ( ![Xw_2:$i]:
164.96/22.10	                ( ( Xr_27 @ Xy @ Xz @ Xw_2 ) | ( Xr_28 @ Xy @ Xz @ Xw_2 ) ) ) & 
164.96/22.10	              ( ![Xw_2:$i]:
164.96/22.10	                ( ( Xr_28 @ Xx @ Xy @ Xw_2 ) | ( Xr_27 @ Xx @ Xy @ Xw_2 ) ) ) ) =>
164.96/22.10	            ( ![Xw_2:$i]:
164.96/22.10	              ( ( Xr_28 @ Xx @ Xz @ Xw_2 ) | ( Xr_27 @ Xx @ Xz @ Xw_2 ) ) ) ) ) & 
164.96/22.10	        ( ![Xx:( $i > $o ),Xw_2:$i]:
164.96/22.10	          ( ( Xr_28 @ Xx @ Xx @ Xw_2 ) | ( Xr_27 @ Xx @ Xx @ Xw_2 ) ) ) ) )),
164.96/22.10	  inference('cnf.neg', [status(esa)], [cTHM120D_pme])).
164.96/22.10	thf(zip_derived_cl0, plain,
164.96/22.10	    (~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]:
164.96/22.10	                   (((??) @ (^[Y1 : ($i > $o) > ($i > $o) > $i > $o]:
164.96/22.10	                               (((((~) @ (((!!) @ (^[Y2 : $i]:
164.96/22.10	                                                     (((Y0 @ 
164.96/22.10	                                                       (^[Y3 : $i]: ($true)) @ 
164.96/22.10	                                                       (^[Y3 : $i]: ($false)) @ 
164.96/22.10	                                                       Y2) | (Y1 @ 
164.96/22.10	                                                       (^[Y3 : $i]: ($true)) @ 
164.96/22.10	                                                       (^[Y3 : $i]: ($false)) @ 
164.96/22.10	                                                       Y2)))))))) & 
164.96/22.10	                                 (((!!) @ (^[Y2 : $i > $o]:
164.96/22.10	                                             (((!!) @ (^[Y3 : $i > $o]:
164.96/22.10	                                                         (((!!) @ (^[Y4 : $i > $o]:
164.96/22.10	                                                                    ((
164.96/22.10	                                                                    ((
164.96/22.10	                                                                    ((
164.96/22.10	                                                                    (!!) @ (
164.96/22.10	                                                                    ^[Y5 : $i]:
164.96/22.10	                                                                    ((
164.96/22.10	                                                                    (Y1 @ 
164.96/22.10	                                                                    Y3 @ 
164.96/22.10	                                                                    Y4 @ 
164.96/22.10	                                                                    Y5) |
164.96/22.10	                                                                    (Y0 @ 
164.96/22.10	                                                                    Y3 @ 
164.96/22.10	                                                                    Y4 @ Y5)))))) &
164.96/22.10	                                                                    ((
164.96/22.10	                                                                    (!!) @ (
164.96/22.10	                                                                    ^[Y5 : $i]:
164.96/22.10	                                                                    ((
164.96/22.10	                                                                    (Y0 @ 
164.96/22.10	                                                                    Y2 @ 
164.96/22.10	                                                                    Y3 @ 
164.96/22.10	                                                                    Y5) |
164.96/22.10	                                                                    (Y1 @ 
164.96/22.10	                                                                    Y2 @ 
164.96/22.10	                                                                    Y3 @ Y5)))))))) =>
164.96/22.10	                                                                    ((
164.96/22.10	                                                                    (!!) @ (
164.96/22.10	                                                                    ^[Y5 : $i]:
164.96/22.10	                                                                    ((
164.96/22.10	                                                                    (Y0 @ 
164.96/22.10	                                                                    Y2 @ 
164.96/22.10	                                                                    Y4 @ 
164.96/22.10	                                                                    Y5) |
164.96/22.10	                                                                    (Y1 @ 
164.96/22.10	                                                                    Y2 @ 
164.96/22.10	                                                                    Y4 @ Y5))))))))))))))))) & 
164.96/22.10	                                 (((!!) @ (^[Y2 : $i > $o]:
164.96/22.10	                                             (((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                         (((Y0 @ Y2 @ Y2 @ 
164.96/22.10	                                                           Y3) | (Y1 @ Y2 @ 
164.96/22.10	                                                           Y2 @ Y3)))))))))))))))))),
164.96/22.10	    inference('cnf', [status(esa)], [zf_stmt_0])).
164.96/22.10	thf(zip_derived_cl1, plain,
164.96/22.10	    (![X2 : ($i > $o) > ($i > $o) > $i > $o]:
164.96/22.10	       ~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]:
164.96/22.10	                     (((((~) @ (((!!) @ (^[Y1 : $i]:
164.96/22.10	                                           (((X2 @ (^[Y2 : $i]: ($true)) @ 
164.96/22.10	                                             (^[Y2 : $i]: ($false)) @ Y1) |
164.96/22.10	                                             (Y0 @ (^[Y2 : $i]: ($true)) @ 
164.96/22.10	                                             (^[Y2 : $i]: ($false)) @ Y1)))))))) & 
164.96/22.10	                       (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                   (((!!) @ (^[Y2 : $i > $o]:
164.96/22.10	                                               (((!!) @ (^[Y3 : $i > $o]:
164.96/22.10	                                                           (((((((!!) @ (
164.96/22.10	                                                                 ^[Y4 : $i]:
164.96/22.10	                                                                   ((
164.96/22.10	                                                                    (Y0 @ 
164.96/22.10	                                                                    Y2 @ 
164.96/22.10	                                                                    Y3 @ 
164.96/22.10	                                                                    Y4) |
164.96/22.10	                                                                    (X2 @ 
164.96/22.10	                                                                    Y2 @ 
164.96/22.10	                                                                    Y3 @ Y4)))))) &
164.96/22.10	                                                               (((!!) @ (
164.96/22.10	                                                                 ^[Y4 : $i]:
164.96/22.10	                                                                   ((
164.96/22.10	                                                                    (X2 @ 
164.96/22.10	                                                                    Y1 @ 
164.96/22.10	                                                                    Y2 @ 
164.96/22.10	                                                                    Y4) |
164.96/22.10	                                                                    (Y0 @ 
164.96/22.10	                                                                    Y1 @ 
164.96/22.10	                                                                    Y2 @ Y4)))))))) =>
164.96/22.10	                                                             (((!!) @ (
164.96/22.10	                                                               ^[Y4 : $i]:
164.96/22.10	                                                                 (((X2 @ 
164.96/22.10	                                                                   Y1 @ Y3 @ 
164.96/22.10	                                                                   Y4) |
164.96/22.10	                                                                   (Y0 @ 
164.96/22.10	                                                                   Y1 @ Y3 @ 
164.96/22.10	                                                                   Y4))))))))))))))))) & 
164.96/22.10	                       (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                   (((!!) @ (^[Y2 : $i]:
164.96/22.10	                                               (((X2 @ Y1 @ Y1 @ Y2) | (Y0 @ 
164.96/22.10	                                                 Y1 @ Y1 @ Y2))))))))))))))),
164.96/22.10	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])).
164.96/22.10	thf(zip_derived_cl3, plain,
164.96/22.10	    (~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]:
164.96/22.10	                   (((((~) @ (((!!) @ (^[Y1 : $i]:
164.96/22.10	                                         ((($false) | (Y0 @ 
164.96/22.10	                                           (^[Y2 : $i]: ($true)) @ 
164.96/22.10	                                           (^[Y2 : $i]: ($false)) @ Y1)))))))) & 
164.96/22.10	                     (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                 (((!!) @ (^[Y2 : $i > $o]:
164.96/22.10	                                             (((!!) @ (^[Y3 : $i > $o]:
164.96/22.10	                                                         (((((((!!) @ (
164.96/22.10	                                                               ^[Y4 : $i]:
164.96/22.10	                                                                 (((Y0 @ 
164.96/22.10	                                                                   Y2 @ Y3 @ 
164.96/22.10	                                                                   Y4) |
164.96/22.10	                                                                   ($false)))))) &
164.96/22.10	                                                             (((!!) @ (
164.96/22.10	                                                               ^[Y4 : $i]:
164.96/22.10	                                                                 ((($false) |
164.96/22.10	                                                                   (Y0 @ 
164.96/22.10	                                                                   Y1 @ Y2 @ 
164.96/22.10	                                                                   Y4)))))))) =>
164.96/22.10	                                                           (((!!) @ (
164.96/22.10	                                                             ^[Y4 : $i]:
164.96/22.10	                                                               ((($false) |
164.96/22.10	                                                                 (Y0 @ Y1 @ 
164.96/22.10	                                                                 Y3 @ Y4))))))))))))))))) & 
164.96/22.10	                     (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                 (((!!) @ (^[Y2 : $i]:
164.96/22.10	                                             ((($false) | (Y0 @ Y1 @ Y1 @ Y2))))))))))))))),
164.96/22.10	    inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl1])).
164.96/22.10	thf(zip_derived_cl115, plain,
164.96/22.10	    (~ (((??) @ (^[Y0 : ($i > $o) > ($i > $o) > $i > $o]:
164.96/22.10	                   (((((~) @ (((!!) @ (^[Y1 : $i]:
164.96/22.10	                                         (Y0 @ (^[Y2 : $i]: ($true)) @ 
164.96/22.10	                                          (^[Y2 : $i]: ($false)) @ Y1)))))) & 
164.96/22.10	                     (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                 (((!!) @ (^[Y2 : $i > $o]:
164.96/22.10	                                             (((!!) @ (^[Y3 : $i > $o]:
164.96/22.10	                                                         (((((((!!) @ (
164.96/22.10	                                                               ^[Y4 : $i]:
164.96/22.10	                                                                 (Y0 @ Y2 @ 
164.96/22.10	                                                                  Y3 @ Y4)))) &
164.96/22.10	                                                             (((!!) @ (
164.96/22.10	                                                               ^[Y4 : $i]:
164.96/22.10	                                                                 (Y0 @ Y1 @ 
164.96/22.10	                                                                  Y2 @ Y4)))))) =>
164.96/22.10	                                                           (((!!) @ (
164.96/22.10	                                                             ^[Y4 : $i]:
164.96/22.10	                                                               (Y0 @ Y1 @ 
164.96/22.10	                                                                Y3 @ Y4))))))))))))))) & 
164.96/22.10	                     (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                 (((!!) @ (^[Y2 : $i]: (Y0 @ Y1 @ Y1 @ Y2))))))))))))),
164.96/22.10	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl3])).
164.96/22.10	thf(zip_derived_cl116, plain,
164.96/22.10	    (![X2 : ($i > $o) > ($i > $o) > $i > $o]:
164.96/22.10	       ~ (((((~) @ (((!!) @ (^[Y0 : $i]:
164.96/22.10	                               (X2 @ (^[Y1 : $i]: ($true)) @ 
164.96/22.10	                                (^[Y1 : $i]: ($false)) @ Y0)))))) & 
164.96/22.10	           (((!!) @ (^[Y0 : $i > $o]:
164.96/22.10	                       (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                   (((!!) @ (^[Y2 : $i > $o]:
164.96/22.10	                                               (((((((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                               (X2 @ Y1 @ 
164.96/22.10	                                                                Y2 @ Y3)))) &
164.96/22.10	                                                   (((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                               (X2 @ Y0 @ 
164.96/22.10	                                                                Y1 @ Y3)))))) =>
164.96/22.10	                                                 (((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                             (X2 @ Y0 @ Y2 @ 
164.96/22.10	                                                              Y3))))))))))))))) & 
164.96/22.10	           (((!!) @ (^[Y0 : $i > $o]:
164.96/22.10	                       (((!!) @ (^[Y1 : $i]: (X2 @ Y0 @ Y0 @ Y1)))))))))),
164.96/22.10	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl115])).
164.96/22.10	thf(zip_derived_cl121, plain,
164.96/22.10	    (~ (((((~) @ (((!!) @ (^[Y0 : $i]:
164.96/22.10	                             ((((^[Y1 : $i]: ($true))) =
164.96/22.10	                               ((^[Y1 : $i]: ($false)))))))))) & 
164.96/22.10	         (((!!) @ (^[Y0 : $i > $o]:
164.96/22.10	                     (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                 (((!!) @ (^[Y2 : $i > $o]:
164.96/22.10	                                             (((((((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                             (((Y1) = (Y2)))))) &
164.96/22.10	                                                 (((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                             (((Y0) = (Y1)))))))) =>
164.96/22.10	                                               (((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                           (((Y0) = (Y2))))))))))))))))) & 
164.96/22.10	         (((!!) @ (^[Y0 : $i > $o]: (((!!) @ (^[Y1 : $i]: (((Y0) = (Y0)))))))))))),
164.96/22.10	    inference('ho.refine.early.bird', [status(thm)], [zip_derived_cl116])).
164.96/22.10	thf(zip_derived_cl172, plain,
164.96/22.10	    (~ (((((!!) @ (^[Y0 : $i > $o]:
164.96/22.10	                     (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                 (((!!) @ (^[Y2 : $i > $o]:
164.96/22.10	                                             (((((((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                             (((Y1) = (Y2)))))) &
164.96/22.10	                                                 (((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                             (((Y0) = (Y1)))))))) =>
164.96/22.10	                                               (((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                           (((Y0) = (Y2))))))))))))))))) &
164.96/22.10	         (((~) @ ((((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))))))),
164.96/22.10	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl121])).
164.96/22.10	thf(zip_derived_cl173, plain,
164.96/22.10	    ((~ (((!!) @ (^[Y0 : $i > $o]:
164.96/22.10	                    (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                (((!!) @ (^[Y2 : $i > $o]:
164.96/22.10	                                            (((((((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                            (((Y1) = (Y2)))))) &
164.96/22.10	                                                (((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                            (((Y0) = (Y1)))))))) =>
164.96/22.10	                                              (((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                          (((Y0) = (Y2)))))))))))))))))
164.96/22.10	      |  ((((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false))))))),
164.96/22.10	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl172])).
164.96/22.10	thf(zip_derived_cl174, plain,
164.96/22.10	    ((~ (((!!) @ (^[Y0 : $i > $o]:
164.96/22.10	                    (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                (((!!) @ (^[Y2 : $i > $o]:
164.96/22.10	                                            (((((((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                            (((Y1) = (Y2)))))) &
164.96/22.10	                                                (((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                            (((Y0) = (Y1)))))))) =>
164.96/22.10	                                              (((!!) @ (^[Y3 : $i]:
164.96/22.10	                                                          (((Y0) = (Y2)))))))))))))))))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('simplify nested equalities', [status(thm)],
164.96/22.10	              [zip_derived_cl173])).
164.96/22.10	thf(zip_derived_cl175, plain,
164.96/22.10	    ((~ (((!!) @ (^[Y0 : $i > $o]:
164.96/22.10	                    (((!!) @ (^[Y1 : $i > $o]:
164.96/22.10	                                (((((((!!) @ (^[Y2 : $i]: (((Y0) = (Y1)))))) &
164.96/22.10	                                    (((!!) @ (^[Y2 : $i]:
164.96/22.10	                                                ((('#sk3555') = (Y0)))))))) =>
164.96/22.10	                                  (((!!) @ (^[Y2 : $i]:
164.96/22.10	                                              ((('#sk3555') = (Y1))))))))))))))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl174])).
164.96/22.10	thf(zip_derived_cl176, plain,
164.96/22.10	    ((~ (((!!) @ (^[Y0 : $i > $o]:
164.96/22.10	                    (((((((!!) @ (^[Y1 : $i]: ((('#sk3556') = (Y0)))))) &
164.96/22.10	                        (((!!) @ (^[Y1 : $i]: ((('#sk3555') = ('#sk3556')))))))) =>
164.96/22.10	                      (((!!) @ (^[Y1 : $i]: ((('#sk3555') = (Y0)))))))))))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl175])).
164.96/22.10	thf(zip_derived_cl177, plain,
164.96/22.10	    ((~ (((((((!!) @ (^[Y0 : $i]: ((('#sk3556') = ('#sk3557')))))) &
164.96/22.10	            (((!!) @ (^[Y0 : $i]: ((('#sk3555') = ('#sk3556')))))))) =>
164.96/22.10	          (((!!) @ (^[Y0 : $i]: ((('#sk3555') = ('#sk3557'))))))))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl176])).
164.96/22.10	thf(zip_derived_cl178, plain,
164.96/22.10	    (( (((((!!) @ (^[Y0 : $i]: ((('#sk3556') = ('#sk3557')))))) &
164.96/22.10	         (((!!) @ (^[Y0 : $i]: ((('#sk3555') = ('#sk3556'))))))))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl177])).
164.96/22.10	thf(zip_derived_cl181, plain,
164.96/22.10	    (( (((!!) @ (^[Y0 : $i]: ((('#sk3555') = ('#sk3556'))))))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl178])).
164.96/22.10	thf(zip_derived_cl184, plain,
164.96/22.10	    (( ((('#sk3555') = ('#sk3556')))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl181])).
164.96/22.10	thf(zip_derived_cl187, plain,
164.96/22.10	    (((('#sk3555') = ('#sk3556'))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('simplify nested equalities', [status(thm)],
164.96/22.10	              [zip_derived_cl184])).
164.96/22.10	thf(zip_derived_cl180, plain,
164.96/22.10	    (( (((!!) @ (^[Y0 : $i]: ((('#sk3556') = ('#sk3557'))))))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl178])).
164.96/22.10	thf(zip_derived_cl183, plain,
164.96/22.10	    (( ((('#sk3556') = ('#sk3557')))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl180])).
164.96/22.10	thf(zip_derived_cl186, plain,
164.96/22.10	    (((('#sk3556') = ('#sk3557'))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('simplify nested equalities', [status(thm)],
164.96/22.10	              [zip_derived_cl183])).
164.96/22.10	thf(zip_derived_cl1391, plain,
164.96/22.10	    (![X1 : $i]:
164.96/22.10	       ((((^[Y0 : $i]: ($true)) @ X1) = ((^[Y0 : $i]: ($false)) @ X1))
164.96/22.10	        | (('#sk3556') = ('#sk3557')))),
164.96/22.10	    inference('ho_complete_eq', [status(thm)], [zip_derived_cl186])).
164.96/22.10	thf(zip_derived_cl1392, plain, ((('#sk3556') = ('#sk3557'))),
164.96/22.10	    inference('ho_norm', [status(thm)], [zip_derived_cl1391])).
164.96/22.10	thf(zip_derived_cl179, plain,
164.96/22.10	    ((~ (((!!) @ (^[Y0 : $i]: ((('#sk3555') = ('#sk3557'))))))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl177])).
164.96/22.10	thf(zip_derived_cl182, plain,
164.96/22.10	    ((~ ((('#sk3555') = ('#sk3557')))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl179])).
164.96/22.10	thf(zip_derived_cl185, plain,
164.96/22.10	    (((('#sk3555') != ('#sk3557'))
164.96/22.10	      | (((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false)))))),
164.96/22.10	    inference('simplify nested equalities', [status(thm)],
164.96/22.10	              [zip_derived_cl182])).
164.96/22.10	thf(zip_derived_cl1348, plain,
164.96/22.10	    (![X1 : $i]:
164.96/22.10	       ((((^[Y0 : $i]: ($true)) @ X1) = ((^[Y0 : $i]: ($false)) @ X1))
164.96/22.10	        | (('#sk3555') != ('#sk3557')))),
164.96/22.10	    inference('ho_complete_eq', [status(thm)], [zip_derived_cl185])).
164.96/22.10	thf(zip_derived_cl1349, plain, ((('#sk3555') != ('#sk3557'))),
164.96/22.10	    inference('ho_norm', [status(thm)], [zip_derived_cl1348])).
164.96/22.10	thf(zip_derived_cl1393, plain, ((('#sk3555') != ('#sk3556'))),
164.96/22.10	    inference('sup-', [status(thm)], [zip_derived_cl1392, zip_derived_cl1349])).
164.96/22.10	thf(zip_derived_cl1418, plain,
164.96/22.10	    ((((^[Y0 : $i]: ($true))) = ((^[Y0 : $i]: ($false))))),
164.96/22.10	    inference('simplify_reflect-', [status(thm)],
164.96/22.10	              [zip_derived_cl187, zip_derived_cl1393])).
164.96/22.10	thf(zip_derived_cl1419, plain,
164.96/22.10	    (![X1 : $i]:
164.96/22.10	       (((^[Y0 : $i]: ($true)) @ X1) = ((^[Y0 : $i]: ($false)) @ X1))),
164.96/22.10	    inference('ho_complete_eq', [status(thm)], [zip_derived_cl1418])).
164.96/22.10	thf(zip_derived_cl1420, plain, ($false),
164.96/22.10	    inference('ho_norm', [status(thm)], [zip_derived_cl1419])).
164.96/22.10	
164.96/22.10	% SZS output end Refutation
164.96/22.10	
164.96/22.10	
164.96/22.10	% Terminating...
165.53/22.18	% Runner terminated.
165.53/22.19	% Zipperpin 1.5 exiting
165.53/22.20	EOF