0.02/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.13	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.308uYWCopT true
0.10/0.34	% Computer : n005.cluster.edu
0.10/0.34	% Model    : x86_64 x86_64
0.10/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.34	% Memory   : 8042.1875MB
0.10/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.34	% CPULimit : 1440
0.10/0.34	% WCLimit  : 180
0.10/0.34	% DateTime : Mon Jul  3 05:18:45 EDT 2023
0.10/0.34	% CPUTime  : 
0.10/0.34	% Running portfolio for 1440 s
0.10/0.34	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.10/0.34	% Number of cores: 8
0.10/0.34	% Python version: Python 3.6.8
0.10/0.34	% Running in HO mode
0.39/0.61	% Total configuration time : 828
0.39/0.61	% Estimated wc time : 1656
0.39/0.61	% Estimated cpu time (8 cpus) : 207.0
0.43/0.73	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
0.43/0.73	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
0.43/0.76	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
0.43/0.78	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
0.43/0.79	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
0.43/0.80	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
0.44/0.98	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
0.44/1.01	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
201.37/30.93	% /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
269.11/41.51	% /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
385.28/61.02	% /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
440.97/72.50	% /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
490.20/80.93	% /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
490.39/80.96	% /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
490.39/80.96	% /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s
493.25/81.49	% /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s
558.22/90.69	% /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s
561.35/91.13	% /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s
610.44/97.35	% /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s
611.11/97.38	% /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 36s
650.90/102.42	% /export/starexec/sandbox/solver/bin/lams/10_shallow_lift.sh running for 30s
688.64/107.19	% /export/starexec/sandbox/solver/bin/lams/15_lcnf_noform.sh running for 30s
689.85/107.43	% Solved by lams/30_old_zip1.sh.
689.85/107.43	% done 445 iterations in 10.005s
689.85/107.43	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
689.85/107.43	% SZS output start Refutation
689.85/107.43	thf(sk__type, type, sk_: $i > $o).
689.85/107.43	thf(sk__1_type, type, sk__1: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > 
689.85/107.43	                             $i > $i).
689.85/107.43	thf(sk__2_type, type, sk__2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > 
689.85/107.43	                             $i > $i).
689.85/107.43	thf(sk__3_type, type, sk__3: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i).
689.85/107.43	thf(sk__5_type, type, sk__5: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i).
689.85/107.43	thf(sk__4_type, type, sk__4: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i).
689.85/107.43	thf(cTHM112D, conjecture,
689.85/107.43	  (![P:( $i > $o )]:
689.85/107.43	   ( ?[Xm_9:( ( $i > $i ) > $i > $o ),Xm_10:( ( $i > $i ) > $i > $o )]:
689.85/107.43	     ( ( ![G:( $i > $i ),H:( $i > $i )]:
689.85/107.43	         ( ( ( ![Xw_1:$i]: ( ( Xm_10 @ G @ Xw_1 ) | ( Xm_9 @ G @ Xw_1 ) ) ) & 
689.85/107.43	             ( ![Xw_1:$i]: ( ( Xm_10 @ G @ Xw_1 ) | ( Xm_9 @ G @ Xw_1 ) ) ) & 
689.85/107.43	             ( ![Xw_1:$i]: ( ( Xm_9 @ H @ Xw_1 ) | ( Xm_10 @ H @ Xw_1 ) ) ) ) =>
689.85/107.43	           ( ( ![Xw_1:$i]:
689.85/107.43	               ( ( Xm_10 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) | 
689.85/107.43	                 ( Xm_9 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) ) ) & 
689.85/107.43	             ( ![Y:$i]: ( ( P @ Y ) => ( P @ ( G @ Y ) ) ) ) ) ) ) & 
689.85/107.43	       ( ![Xw_1:$i]:
689.85/107.43	         ( ( Xm_10 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) | 
689.85/107.43	           ( Xm_9 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) ) ) ) ))).
689.85/107.43	thf(zf_stmt_0, negated_conjecture,
689.85/107.43	  (~( ![P:( $i > $o )]:
689.85/107.43	      ( ?[Xm_9:( ( $i > $i ) > $i > $o ),Xm_10:( ( $i > $i ) > $i > $o )]:
689.85/107.43	        ( ( ![G:( $i > $i ),H:( $i > $i )]:
689.85/107.43	            ( ( ( ![Xw_1:$i]: ( ( Xm_10 @ G @ Xw_1 ) | ( Xm_9 @ G @ Xw_1 ) ) ) & 
689.85/107.43	                ( ![Xw_1:$i]: ( ( Xm_10 @ G @ Xw_1 ) | ( Xm_9 @ G @ Xw_1 ) ) ) & 
689.85/107.43	                ( ![Xw_1:$i]: ( ( Xm_9 @ H @ Xw_1 ) | ( Xm_10 @ H @ Xw_1 ) ) ) ) =>
689.85/107.43	              ( ( ![Xw_1:$i]:
689.85/107.43	                  ( ( Xm_10 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) | 
689.85/107.43	                    ( Xm_9 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) ) ) & 
689.85/107.43	                ( ![Y:$i]: ( ( P @ Y ) => ( P @ ( G @ Y ) ) ) ) ) ) ) & 
689.85/107.43	          ( ![Xw_1:$i]:
689.85/107.43	            ( ( Xm_10 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) | 
689.85/107.43	              ( Xm_9 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) ) ) ) ) )),
689.85/107.43	  inference('cnf.neg', [status(esa)], [cTHM112D])).
689.85/107.43	thf(zip_derived_cl5, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o, X1 : ($i > $i) > $i > $o, X4 : $i]:
689.85/107.43	       ( (X1 @ (sk__2 @ X1 @ X0) @ X4)
689.85/107.43	        |  (X0 @ (sk__2 @ X1 @ X0) @ X4)
689.85/107.43	        | ~ (X0 @ (^[Y0 : $i]: (Y0)) @ (sk__5 @ X1 @ X0)))),
689.85/107.43	    inference('cnf', [status(esa)], [zf_stmt_0])).
689.85/107.43	thf(zip_derived_cl215, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
689.85/107.43	       (~ (X0 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	           (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0))
689.85/107.43	        |  (X0 @ (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0) @ X1)
689.85/107.43	        |  ((^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	            (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0) @ X1))),
689.85/107.43	    inference('eq_fact', [status(thm)], [zip_derived_cl5])).
689.85/107.43	thf(zip_derived_cl220, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
689.85/107.43	       (~ (X0 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	           (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0))
689.85/107.43	        |  (X0 @ (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0) @ X1))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl215])).
689.85/107.43	thf(zip_derived_cl231, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : $i]:
689.85/107.43	       (~ ((^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))) @ 
689.85/107.43	           (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	           (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	            (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	        |  ((^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))) @ 
689.85/107.43	            (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))) @ 
689.85/107.43	            X3))),
689.85/107.43	    inference('ho.refine', [status(thm)], [zip_derived_cl220])).
689.85/107.43	thf(zip_derived_cl238, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : $i]:
689.85/107.43	       (~ (((X2 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	            (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))) =
689.85/107.43	            (X1 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	            (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))))
689.85/107.43	        |  (((X2 @ 
689.85/107.43	             (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))) @ 
689.85/107.43	             X3) = (X1 @ 
689.85/107.43	             (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))) @ 
689.85/107.43	             X3))))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl231])).
689.85/107.43	thf(zip_derived_cl239, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : $i]:
689.85/107.43	       (((X2 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	          (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	           (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	          != (X1 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	              (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))))
689.85/107.43	        | ((X2 @ 
689.85/107.43	            (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))) @ 
689.85/107.43	            X3)
689.85/107.43	            = (X1 @ 
689.85/107.43	               (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	                (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))) @ 
689.85/107.43	               X3)))),
689.85/107.43	    inference('simplify nested equalities', [status(thm)],
689.85/107.43	              [zip_derived_cl238])).
689.85/107.43	thf(zip_derived_cl5302, plain,
689.85/107.43	    (![X0 : $i]:
689.85/107.43	       (((^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	            (Y0 @ ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1))) @ 
689.85/107.43	         (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	          (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	             ((((^[Y2 : $i > $i,Y3 : $i]:
689.85/107.43	                   (Y2 @ ((^[Y4 : $i > $i,Y5 : $i]: (Y5)) @ Y2 @ Y3))) @ 
689.85/107.43	               Y0 @ Y1) = ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1))))) @ 
689.85/107.43	         X0)
689.85/107.43	         = ((^[Y0 : $i > $i,Y1 : $i]: (Y1)) @ 
689.85/107.43	            (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	                ((((^[Y2 : $i > $i,Y3 : $i]:
689.85/107.43	                      (Y2 @ ((^[Y4 : $i > $i,Y5 : $i]: (Y5)) @ Y2 @ Y3))) @ 
689.85/107.43	                  Y0 @ Y1) = ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1))))) @ 
689.85/107.43	            X0))),
689.85/107.43	    inference('eq_res', [status(thm)], [zip_derived_cl239])).
689.85/107.43	thf(zip_derived_cl5345, plain,
689.85/107.43	    (![X0 : $i]:
689.85/107.43	       ((sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	         (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ X0) = (X0))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl5302])).
689.85/107.43	thf(zip_derived_cl7, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o, X1 : ($i > $i) > $i > $o]:
689.85/107.43	       ( (sk_ @ (sk__4 @ X1 @ X0))
689.85/107.43	        | ~ (X0 @ (^[Y0 : $i]: (sk__1 @ X1 @ X0 @ (sk__2 @ X1 @ X0 @ Y0))) @ 
689.85/107.43	             (sk__3 @ X1 @ X0))
689.85/107.43	        | ~ (X0 @ (^[Y0 : $i]: (Y0)) @ (sk__5 @ X1 @ X0)))),
689.85/107.43	    inference('cnf', [status(esa)], [zf_stmt_0])).
689.85/107.43	thf(zip_derived_cl272, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : ($i > $i) > $i > $o]:
689.85/107.43	       ( (sk_ @ 
689.85/107.43	          (sk__4 @ X3 @ 
689.85/107.43	           (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	        | ~ ((^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))) @ 
689.85/107.43	             (^[Y0 : $i]:
689.85/107.43	                (sk__1 @ X3 @ 
689.85/107.43	                 (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                    (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                 (sk__2 @ X3 @ 
689.85/107.43	                  (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                     (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                  Y0))) @ 
689.85/107.43	             (sk__3 @ X3 @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	        | ~ ((^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))) @ 
689.85/107.43	             (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	             (sk__5 @ X3 @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))))),
689.85/107.43	    inference('ho.refine', [status(thm)], [zip_derived_cl7])).
689.85/107.43	thf(zip_derived_cl279, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : ($i > $i) > $i > $o]:
689.85/107.43	       ( (sk_ @ 
689.85/107.43	          (sk__4 @ X3 @ 
689.85/107.43	           (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	        | ~ (((X2 @ 
689.85/107.43	              (^[Y0 : $i]:
689.85/107.43	                 (sk__1 @ X3 @ 
689.85/107.43	                  (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                     (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                  (sk__2 @ X3 @ 
689.85/107.43	                   (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                      (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                   Y0))) @ 
689.85/107.43	              (sk__3 @ X3 @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))) =
689.85/107.43	              (X1 @ 
689.85/107.43	              (^[Y0 : $i]:
689.85/107.43	                 (sk__1 @ X3 @ 
689.85/107.43	                  (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                     (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                  (sk__2 @ X3 @ 
689.85/107.43	                   (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                      (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                   Y0))) @ 
689.85/107.43	              (sk__3 @ X3 @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))))
689.85/107.43	        | ~ (((X2 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	              (sk__5 @ X3 @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))) =
689.85/107.43	              (X1 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	              (sk__5 @ X3 @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))))))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl272])).
689.85/107.43	thf(zip_derived_cl280, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : ($i > $i) > $i > $o]:
689.85/107.43	       ( (sk_ @ 
689.85/107.43	          (sk__4 @ X3 @ 
689.85/107.43	           (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	        | ((X2 @ 
689.85/107.43	            (^[Y0 : $i]:
689.85/107.43	               (sk__1 @ X3 @ 
689.85/107.43	                (^[Y1 : $i > $i,Y2 : $i]: (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                (sk__2 @ X3 @ 
689.85/107.43	                 (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                    (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                 Y0))) @ 
689.85/107.43	            (sk__3 @ X3 @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	            != (X1 @ 
689.85/107.43	                (^[Y0 : $i]:
689.85/107.43	                   (sk__1 @ X3 @ 
689.85/107.43	                    (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                       (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                    (sk__2 @ X3 @ 
689.85/107.43	                     (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                        (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                     Y0))) @ 
689.85/107.43	                (sk__3 @ X3 @ 
689.85/107.43	                 (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	                    (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))))
689.85/107.43	        | ((X2 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	            (sk__5 @ X3 @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	            != (X1 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	                (sk__5 @ X3 @ 
689.85/107.43	                 (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	                    (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))))),
689.85/107.43	    inference('simplify nested equalities', [status(thm)],
689.85/107.43	              [zip_derived_cl279])).
689.85/107.43	thf(zip_derived_cl5300, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o]:
689.85/107.43	       ((((^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	             (Y0 @ ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1))) @ 
689.85/107.43	          (^[Y0 : $i]:
689.85/107.43	             (sk__1 @ X0 @ 
689.85/107.43	              (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                 ((((^[Y3 : $i > $i,Y4 : $i]:
689.85/107.43	                       (Y3 @ ((^[Y5 : $i > $i,Y6 : $i]: (Y6)) @ Y3 @ Y4))) @ 
689.85/107.43	                   Y1 @ Y2) = ((^[Y3 : $i > $i,Y4 : $i]: (Y4)) @ Y1 @ Y2)))) @ 
689.85/107.43	              (sk__2 @ X0 @ 
689.85/107.43	               (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                  ((((^[Y3 : $i > $i,Y4 : $i]:
689.85/107.43	                        (Y3 @ ((^[Y5 : $i > $i,Y6 : $i]: (Y6)) @ Y3 @ Y4))) @ 
689.85/107.43	                    Y1 @ Y2) = ((^[Y3 : $i > $i,Y4 : $i]: (Y4)) @ Y1 @ Y2)))) @ 
689.85/107.43	               Y0))) @ 
689.85/107.43	          (sk__3 @ X0 @ 
689.85/107.43	           (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	              ((((^[Y2 : $i > $i,Y3 : $i]:
689.85/107.43	                    (Y2 @ ((^[Y4 : $i > $i,Y5 : $i]: (Y5)) @ Y2 @ Y3))) @ 
689.85/107.43	                Y0 @ Y1) = ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1))))))
689.85/107.43	          != ((^[Y0 : $i > $i,Y1 : $i]: (Y1)) @ 
689.85/107.43	              (^[Y0 : $i]:
689.85/107.43	                 (sk__1 @ X0 @ 
689.85/107.43	                  (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                     ((((^[Y3 : $i > $i,Y4 : $i]:
689.85/107.43	                           (Y3 @ ((^[Y5 : $i > $i,Y6 : $i]: (Y6)) @ Y3 @ Y4))) @ 
689.85/107.43	                       Y1 @ Y2) = ((^[Y3 : $i > $i,Y4 : $i]: (Y4)) @ Y1 @ Y2)))) @ 
689.85/107.43	                  (sk__2 @ X0 @ 
689.85/107.43	                   (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                      ((((^[Y3 : $i > $i,Y4 : $i]:
689.85/107.43	                            (Y3 @ ((^[Y5 : $i > $i,Y6 : $i]: (Y6)) @ Y3 @ Y4))) @ 
689.85/107.43	                        Y1 @ Y2) = ((^[Y3 : $i > $i,Y4 : $i]: (Y4)) @ Y1 @ 
689.85/107.43	                        Y2)))) @ 
689.85/107.43	                   Y0))) @ 
689.85/107.43	              (sk__3 @ X0 @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	                  ((((^[Y2 : $i > $i,Y3 : $i]:
689.85/107.43	                        (Y2 @ ((^[Y4 : $i > $i,Y5 : $i]: (Y5)) @ Y2 @ Y3))) @ 
689.85/107.43	                    Y0 @ Y1) = ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1)))))))
689.85/107.43	        |  (sk_ @ 
689.85/107.43	            (sk__4 @ X0 @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	                ((((^[Y2 : $i > $i,Y3 : $i]:
689.85/107.43	                      (Y2 @ ((^[Y4 : $i > $i,Y5 : $i]: (Y5)) @ Y2 @ Y3))) @ 
689.85/107.43	                  Y0 @ Y1) = ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1)))))))),
689.85/107.43	    inference('eq_res', [status(thm)], [zip_derived_cl280])).
689.85/107.43	thf(zip_derived_cl5343, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o]:
689.85/107.43	       (((sk__1 @ X0 @ (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ 
689.85/107.43	          (sk__2 @ X0 @ (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ 
689.85/107.43	           (sk__3 @ X0 @ (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))))))
689.85/107.43	          != (sk__3 @ X0 @ (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1))))))
689.85/107.43	        |  (sk_ @ 
689.85/107.43	            (sk__4 @ X0 @ (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))))))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl5300])).
689.85/107.43	thf(zip_derived_cl7758, plain,
689.85/107.43	    ((((sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	        (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ 
689.85/107.43	        (sk__3 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	         (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1))))))
689.85/107.43	        != (sk__3 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	            (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1))))))
689.85/107.43	      |  (sk_ @ 
689.85/107.43	          (sk__4 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	           (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))))))),
689.85/107.43	    inference('sup-', [status(thm)], [zip_derived_cl5345, zip_derived_cl5343])).
689.85/107.43	thf(zip_derived_cl1, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o, X1 : ($i > $i) > $i > $o, X2 : $i]:
689.85/107.43	       ( (X0 @ (sk__1 @ X1 @ X0) @ X2)
689.85/107.43	        |  (X1 @ (sk__1 @ X1 @ X0) @ X2)
689.85/107.43	        | ~ (X0 @ (^[Y0 : $i]: (Y0)) @ (sk__5 @ X1 @ X0)))),
689.85/107.43	    inference('cnf', [status(esa)], [zf_stmt_0])).
689.85/107.43	thf(zip_derived_cl128, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
689.85/107.43	       (~ (X0 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	           (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0))
689.85/107.43	        |  ((^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	            (sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0) @ X1)
689.85/107.43	        |  (X0 @ (sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0) @ X1))),
689.85/107.43	    inference('eq_fact', [status(thm)], [zip_derived_cl1])).
689.85/107.43	thf(zip_derived_cl133, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
689.85/107.43	       (~ (X0 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	           (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0))
689.85/107.43	        |  (X0 @ (sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0) @ X1))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl128])).
689.85/107.43	thf(zip_derived_cl145, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : $i]:
689.85/107.43	       (~ ((^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))) @ 
689.85/107.43	           (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	           (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	            (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	        |  ((^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))) @ 
689.85/107.43	            (sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))) @ 
689.85/107.43	            X3))),
689.85/107.43	    inference('ho.refine', [status(thm)], [zip_derived_cl133])).
689.85/107.43	thf(zip_derived_cl152, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : $i]:
689.85/107.43	       (~ (((X2 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	            (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))) =
689.85/107.43	            (X1 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	            (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))))
689.85/107.43	        |  (((X2 @ 
689.85/107.43	             (sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))) @ 
689.85/107.43	             X3) = (X1 @ 
689.85/107.43	             (sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))) @ 
689.85/107.43	             X3))))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl145])).
689.85/107.43	thf(zip_derived_cl153, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : $i]:
689.85/107.43	       (((X2 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	          (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	           (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	          != (X1 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	              (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))))
689.85/107.43	        | ((X2 @ 
689.85/107.43	            (sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))) @ 
689.85/107.43	            X3)
689.85/107.43	            = (X1 @ 
689.85/107.43	               (sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	                (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))) @ 
689.85/107.43	               X3)))),
689.85/107.43	    inference('simplify nested equalities', [status(thm)],
689.85/107.43	              [zip_derived_cl152])).
689.85/107.43	thf(zip_derived_cl527, plain,
689.85/107.43	    (![X0 : $i]:
689.85/107.43	       (((^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	            (Y0 @ ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1))) @ 
689.85/107.43	         (sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	          (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	             ((((^[Y2 : $i > $i,Y3 : $i]:
689.85/107.43	                   (Y2 @ ((^[Y4 : $i > $i,Y5 : $i]: (Y5)) @ Y2 @ Y3))) @ 
689.85/107.43	               Y0 @ Y1) = ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1))))) @ 
689.85/107.43	         X0)
689.85/107.43	         = ((^[Y0 : $i > $i,Y1 : $i]: (Y1)) @ 
689.85/107.43	            (sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	                ((((^[Y2 : $i > $i,Y3 : $i]:
689.85/107.43	                      (Y2 @ ((^[Y4 : $i > $i,Y5 : $i]: (Y5)) @ Y2 @ Y3))) @ 
689.85/107.43	                  Y0 @ Y1) = ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1))))) @ 
689.85/107.43	            X0))),
689.85/107.43	    inference('eq_res', [status(thm)], [zip_derived_cl153])).
689.85/107.43	thf(zip_derived_cl531, plain,
689.85/107.43	    (![X0 : $i]:
689.85/107.43	       ((sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	         (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ X0) = (X0))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl527])).
689.85/107.43	thf(zip_derived_cl531, plain,
689.85/107.43	    (![X0 : $i]:
689.85/107.43	       ((sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	         (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ X0) = (X0))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl527])).
689.85/107.43	thf(zip_derived_cl9, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o, X1 : ($i > $i) > $i > $o]:
689.85/107.43	       (~ (sk_ @ (sk__1 @ X1 @ X0 @ (sk__4 @ X1 @ X0)))
689.85/107.43	        | ~ (X0 @ (^[Y0 : $i]: (sk__1 @ X1 @ X0 @ (sk__2 @ X1 @ X0 @ Y0))) @ 
689.85/107.43	             (sk__3 @ X1 @ X0))
689.85/107.43	        | ~ (X0 @ (^[Y0 : $i]: (Y0)) @ (sk__5 @ X1 @ X0)))),
689.85/107.43	    inference('cnf', [status(esa)], [zf_stmt_0])).
689.85/107.43	thf(zip_derived_cl95, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : ($i > $i) > $i > $o]:
689.85/107.43	       (~ (sk_ @ 
689.85/107.43	           (sk__1 @ X3 @ 
689.85/107.43	            (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))) @ 
689.85/107.43	            (sk__4 @ X3 @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))))
689.85/107.43	        | ~ ((^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))) @ 
689.85/107.43	             (^[Y0 : $i]:
689.85/107.43	                (sk__1 @ X3 @ 
689.85/107.43	                 (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                    (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                 (sk__2 @ X3 @ 
689.85/107.43	                  (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                     (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                  Y0))) @ 
689.85/107.43	             (sk__3 @ X3 @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	        | ~ ((^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))) @ 
689.85/107.43	             (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	             (sk__5 @ X3 @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))))),
689.85/107.43	    inference('ho.refine', [status(thm)], [zip_derived_cl9])).
689.85/107.43	thf(zip_derived_cl104, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : ($i > $i) > $i > $o]:
689.85/107.43	       (~ (sk_ @ 
689.85/107.43	           (sk__1 @ X3 @ 
689.85/107.43	            (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))) @ 
689.85/107.43	            (sk__4 @ X3 @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))))
689.85/107.43	        | ~ (((X2 @ 
689.85/107.43	              (^[Y0 : $i]:
689.85/107.43	                 (sk__1 @ X3 @ 
689.85/107.43	                  (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                     (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                  (sk__2 @ X3 @ 
689.85/107.43	                   (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                      (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                   Y0))) @ 
689.85/107.43	              (sk__3 @ X3 @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))) =
689.85/107.43	              (X1 @ 
689.85/107.43	              (^[Y0 : $i]:
689.85/107.43	                 (sk__1 @ X3 @ 
689.85/107.43	                  (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                     (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                  (sk__2 @ X3 @ 
689.85/107.43	                   (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                      (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                   Y0))) @ 
689.85/107.43	              (sk__3 @ X3 @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))))
689.85/107.43	        | ~ (((X2 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	              (sk__5 @ X3 @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))) =
689.85/107.43	              (X1 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	              (sk__5 @ X3 @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))))))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl95])).
689.85/107.43	thf(zip_derived_cl105, plain,
689.85/107.43	    (![X0 : $tType, X1 : ($i > $i) > $i > X0, X2 : ($i > $i) > $i > X0, 
689.85/107.43	       X3 : ($i > $i) > $i > $o]:
689.85/107.43	       (~ (sk_ @ 
689.85/107.43	           (sk__1 @ X3 @ 
689.85/107.43	            (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))) @ 
689.85/107.43	            (sk__4 @ X3 @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))))
689.85/107.43	        | ((X2 @ 
689.85/107.43	            (^[Y0 : $i]:
689.85/107.43	               (sk__1 @ X3 @ 
689.85/107.43	                (^[Y1 : $i > $i,Y2 : $i]: (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                (sk__2 @ X3 @ 
689.85/107.43	                 (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                    (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                 Y0))) @ 
689.85/107.43	            (sk__3 @ X3 @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	            != (X1 @ 
689.85/107.43	                (^[Y0 : $i]:
689.85/107.43	                   (sk__1 @ X3 @ 
689.85/107.43	                    (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                       (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                    (sk__2 @ X3 @ 
689.85/107.43	                     (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                        (((X2 @ Y1 @ Y2) = (X1 @ Y1 @ Y2)))) @ 
689.85/107.43	                     Y0))) @ 
689.85/107.43	                (sk__3 @ X3 @ 
689.85/107.43	                 (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	                    (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1)))))))
689.85/107.43	        | ((X2 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	            (sk__5 @ X3 @ 
689.85/107.43	             (^[Y0 : $i > $i,Y1 : $i]: (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))
689.85/107.43	            != (X1 @ (^[Y0 : $i]: (Y0)) @ 
689.85/107.43	                (sk__5 @ X3 @ 
689.85/107.43	                 (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	                    (((X2 @ Y0 @ Y1) = (X1 @ Y0 @ Y1))))))))),
689.85/107.43	    inference('simplify nested equalities', [status(thm)],
689.85/107.43	              [zip_derived_cl104])).
689.85/107.43	thf(zip_derived_cl1346, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o]:
689.85/107.43	       ((((^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	             (Y0 @ ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1))) @ 
689.85/107.43	          (^[Y0 : $i]:
689.85/107.43	             (sk__1 @ X0 @ 
689.85/107.43	              (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                 ((((^[Y3 : $i > $i,Y4 : $i]:
689.85/107.43	                       (Y3 @ ((^[Y5 : $i > $i,Y6 : $i]: (Y6)) @ Y3 @ Y4))) @ 
689.85/107.43	                   Y1 @ Y2) = ((^[Y3 : $i > $i,Y4 : $i]: (Y4)) @ Y1 @ Y2)))) @ 
689.85/107.43	              (sk__2 @ X0 @ 
689.85/107.43	               (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                  ((((^[Y3 : $i > $i,Y4 : $i]:
689.85/107.43	                        (Y3 @ ((^[Y5 : $i > $i,Y6 : $i]: (Y6)) @ Y3 @ Y4))) @ 
689.85/107.43	                    Y1 @ Y2) = ((^[Y3 : $i > $i,Y4 : $i]: (Y4)) @ Y1 @ Y2)))) @ 
689.85/107.43	               Y0))) @ 
689.85/107.43	          (sk__3 @ X0 @ 
689.85/107.43	           (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	              ((((^[Y2 : $i > $i,Y3 : $i]:
689.85/107.43	                    (Y2 @ ((^[Y4 : $i > $i,Y5 : $i]: (Y5)) @ Y2 @ Y3))) @ 
689.85/107.43	                Y0 @ Y1) = ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1))))))
689.85/107.43	          != ((^[Y0 : $i > $i,Y1 : $i]: (Y1)) @ 
689.85/107.43	              (^[Y0 : $i]:
689.85/107.43	                 (sk__1 @ X0 @ 
689.85/107.43	                  (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                     ((((^[Y3 : $i > $i,Y4 : $i]:
689.85/107.43	                           (Y3 @ ((^[Y5 : $i > $i,Y6 : $i]: (Y6)) @ Y3 @ Y4))) @ 
689.85/107.43	                       Y1 @ Y2) = ((^[Y3 : $i > $i,Y4 : $i]: (Y4)) @ Y1 @ Y2)))) @ 
689.85/107.43	                  (sk__2 @ X0 @ 
689.85/107.43	                   (^[Y1 : $i > $i,Y2 : $i]:
689.85/107.43	                      ((((^[Y3 : $i > $i,Y4 : $i]:
689.85/107.43	                            (Y3 @ ((^[Y5 : $i > $i,Y6 : $i]: (Y6)) @ Y3 @ Y4))) @ 
689.85/107.43	                        Y1 @ Y2) = ((^[Y3 : $i > $i,Y4 : $i]: (Y4)) @ Y1 @ 
689.85/107.43	                        Y2)))) @ 
689.85/107.43	                   Y0))) @ 
689.85/107.43	              (sk__3 @ X0 @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	                  ((((^[Y2 : $i > $i,Y3 : $i]:
689.85/107.43	                        (Y2 @ ((^[Y4 : $i > $i,Y5 : $i]: (Y5)) @ Y2 @ Y3))) @ 
689.85/107.43	                    Y0 @ Y1) = ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1)))))))
689.85/107.43	        | ~ (sk_ @ 
689.85/107.43	             (sk__1 @ X0 @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	                 ((((^[Y2 : $i > $i,Y3 : $i]:
689.85/107.43	                       (Y2 @ ((^[Y4 : $i > $i,Y5 : $i]: (Y5)) @ Y2 @ Y3))) @ 
689.85/107.43	                   Y0 @ Y1) = ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1)))) @ 
689.85/107.43	              (sk__4 @ X0 @ 
689.85/107.43	               (^[Y0 : $i > $i,Y1 : $i]:
689.85/107.43	                  ((((^[Y2 : $i > $i,Y3 : $i]:
689.85/107.43	                        (Y2 @ ((^[Y4 : $i > $i,Y5 : $i]: (Y5)) @ Y2 @ Y3))) @ 
689.85/107.43	                    Y0 @ Y1) = ((^[Y2 : $i > $i,Y3 : $i]: (Y3)) @ Y0 @ Y1))))))))),
689.85/107.43	    inference('eq_res', [status(thm)], [zip_derived_cl105])).
689.85/107.43	thf(zip_derived_cl1367, plain,
689.85/107.43	    (![X0 : ($i > $i) > $i > $o]:
689.85/107.43	       (((sk__1 @ X0 @ (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ 
689.85/107.43	          (sk__2 @ X0 @ (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ 
689.85/107.43	           (sk__3 @ X0 @ (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))))))
689.85/107.43	          != (sk__3 @ X0 @ (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1))))))
689.85/107.43	        | ~ (sk_ @ 
689.85/107.43	             (sk__1 @ X0 @ (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ 
689.85/107.43	              (sk__4 @ X0 @ (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1))))))))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl1346])).
689.85/107.43	thf(zip_derived_cl1429, plain,
689.85/107.43	    ((~ (sk_ @ 
689.85/107.43	         (sk__4 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	          (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1))))))
689.85/107.43	      | ((sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	          (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ 
689.85/107.43	          (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	           (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ 
689.85/107.43	           (sk__3 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	            (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))))))
689.85/107.43	          != (sk__3 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))))))),
689.85/107.43	    inference('sup-', [status(thm)], [zip_derived_cl531, zip_derived_cl1367])).
689.85/107.43	thf(zip_derived_cl531, plain,
689.85/107.43	    (![X0 : $i]:
689.85/107.43	       ((sk__1 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	         (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ X0) = (X0))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl527])).
689.85/107.43	thf(zip_derived_cl1432, plain,
689.85/107.43	    ((~ (sk_ @ 
689.85/107.43	         (sk__4 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	          (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1))))))
689.85/107.43	      | ((sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	          (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ 
689.85/107.43	          (sk__3 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	           (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1))))))
689.85/107.43	          != (sk__3 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))))))),
689.85/107.43	    inference('demod', [status(thm)], [zip_derived_cl1429, zip_derived_cl531])).
689.85/107.43	thf(zip_derived_cl5345, plain,
689.85/107.43	    (![X0 : $i]:
689.85/107.43	       ((sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	         (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))) @ X0) = (X0))),
689.85/107.43	    inference('ho_norm', [status(thm)], [zip_derived_cl5302])).
689.85/107.43	thf(zip_derived_cl5493, plain,
689.85/107.43	    ((~ (sk_ @ 
689.85/107.43	         (sk__4 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	          (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1))))))
689.85/107.43	      | ((sk__3 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	          (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))))
689.85/107.43	          != (sk__3 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	              (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))))))),
689.85/107.43	    inference('demod', [status(thm)],
689.85/107.43	              [zip_derived_cl1432, zip_derived_cl5345])).
689.85/107.43	thf(zip_derived_cl5494, plain,
689.85/107.43	    (~ (sk_ @ 
689.85/107.43	        (sk__4 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	         (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1))))))),
689.85/107.43	    inference('simplify', [status(thm)], [zip_derived_cl5493])).
689.85/107.43	thf(zip_derived_cl7766, plain,
689.85/107.43	    (((sk__3 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	       (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1)))))
689.85/107.43	       != (sk__3 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
689.85/107.43	           (^[Y0 : $i > $i,Y1 : $i]: (((Y0 @ Y1) = (Y1))))))),
689.85/107.43	    inference('demod', [status(thm)],
689.85/107.43	              [zip_derived_cl7758, zip_derived_cl531, zip_derived_cl5494])).
689.85/107.43	thf(zip_derived_cl7767, plain, ($false),
689.85/107.43	    inference('simplify', [status(thm)], [zip_derived_cl7766])).
689.85/107.43	
689.85/107.43	% SZS output end Refutation
689.85/107.43	
689.85/107.43	
689.85/107.43	% Terminating...
690.93/107.55	% Runner terminated.
690.93/107.55	% Zipperpin 1.5 exiting
690.93/107.56	EOF