0.06/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.q0NWV2A7ny true
0.12/0.34	% Computer : n027.cluster.edu
0.12/0.34	% Model    : x86_64 x86_64
0.12/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory   : 8042.1875MB
0.12/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit : 960
0.12/0.34	% WCLimit  : 120
0.12/0.34	% DateTime : Tue Aug  9 03:36:51 EDT 2022
0.12/0.34	% CPUTime  : 
0.12/0.34	% Running portfolio for 960 s
0.12/0.34	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.12/0.34	% Number of cores: 8
0.12/0.34	% Python version: Python 3.6.8
0.12/0.34	% Running in HO mode
0.55/0.66	% Total configuration time : 828
0.55/0.66	% Estimated wc time : 1656
0.55/0.66	% Estimated cpu time (8 cpus) : 207.0
0.55/0.72	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
0.55/0.72	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
0.55/0.72	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
0.55/0.73	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
0.55/0.74	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
0.55/0.74	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
0.55/0.74	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.56/0.75	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
239.59/30.76	% /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
318.93/40.84	% /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
480.10/61.31	% /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
531.95/67.79	% Solved by lams/40_noforms.sh.
531.95/67.79	% done 1910 iterations in 66.994s
531.95/67.79	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
531.95/67.79	% SZS output start Refutation
531.95/67.79	thf(sk__4_type, type, sk__4: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i).
531.95/67.79	thf(sk__2_type, type, sk__2: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > 
531.95/67.79	                             $i > $i).
531.95/67.79	thf('#sk64567_type', type, '#sk64567': $o > $i).
531.95/67.79	thf(sk__3_type, type, sk__3: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i).
531.95/67.79	thf(sk__5_type, type, sk__5: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > $i).
531.95/67.79	thf(sk__1_type, type, sk__1: (($i > $i) > $i > $o) > (($i > $i) > $i > $o) > 
531.95/67.79	                             $i > $i).
531.95/67.79	thf(sk__type, type, sk_: $i > $o).
531.95/67.79	thf(cTHM112B, conjecture,
531.95/67.79	  (![P:( $i > $o )]:
531.95/67.79	   ( ?[Xm_9:( ( $i > $i ) > $i > $o ),Xm_10:( ( $i > $i ) > $i > $o )]:
531.95/67.79	     ( ( ![G:( $i > $i ),H:( $i > $i )]:
531.95/67.79	         ( ( ( ![Xw_1:$i]: ( ( Xm_10 @ H @ Xw_1 ) | ( Xm_9 @ H @ Xw_1 ) ) ) & 
531.95/67.79	             ( ![Xw_1:$i]: ( ( Xm_10 @ G @ Xw_1 ) | ( Xm_9 @ G @ Xw_1 ) ) ) ) =>
531.95/67.79	           ( ( ![Xw_1:$i]:
531.95/67.79	               ( ( Xm_10 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) | 
531.95/67.79	                 ( Xm_9 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) ) ) & 
531.95/67.79	             ( ![Y:$i]: ( ( P @ Y ) => ( P @ ( G @ Y ) ) ) ) ) ) ) & 
531.95/67.79	       ( ![Xw_1:$i]:
531.95/67.79	         ( ( Xm_10 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) | 
531.95/67.79	           ( Xm_9 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) ) ) ) ))).
531.95/67.79	thf(zf_stmt_0, negated_conjecture,
531.95/67.79	  (~( ![P:( $i > $o )]:
531.95/67.79	      ( ?[Xm_9:( ( $i > $i ) > $i > $o ),Xm_10:( ( $i > $i ) > $i > $o )]:
531.95/67.79	        ( ( ![G:( $i > $i ),H:( $i > $i )]:
531.95/67.79	            ( ( ( ![Xw_1:$i]: ( ( Xm_10 @ H @ Xw_1 ) | ( Xm_9 @ H @ Xw_1 ) ) ) & 
531.95/67.79	                ( ![Xw_1:$i]: ( ( Xm_10 @ G @ Xw_1 ) | ( Xm_9 @ G @ Xw_1 ) ) ) ) =>
531.95/67.79	              ( ( ![Xw_1:$i]:
531.95/67.79	                  ( ( Xm_10 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) | 
531.95/67.79	                    ( Xm_9 @ ( ^[Xx:$i]: ( G @ ( H @ Xx ) ) ) @ Xw_1 ) ) ) & 
531.95/67.79	                ( ![Y:$i]: ( ( P @ Y ) => ( P @ ( G @ Y ) ) ) ) ) ) ) & 
531.95/67.79	          ( ![Xw_1:$i]:
531.95/67.79	            ( ( Xm_10 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) | 
531.95/67.79	              ( Xm_9 @ ( ^[Xx:$i]: ( Xx ) ) @ Xw_1 ) ) ) ) ) )),
531.95/67.79	  inference('cnf.neg', [status(esa)], [cTHM112B])).
531.95/67.79	thf(zip_derived_cl8, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : ($i > $i) > $i > $o]:
531.95/67.79	       ( (sk_ @ (sk__4 @ X1 @ X0))
531.95/67.79	        | ~ (X1 @ (^[Y0 : $i]: (sk__1 @ X1 @ X0 @ (sk__2 @ X1 @ X0 @ Y0))) @ 
531.95/67.79	             (sk__3 @ X1 @ X0))
531.95/67.79	        | ~ (X1 @ (^[Y0 : $i]: (Y0)) @ (sk__5 @ X1 @ X0)))),
531.95/67.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
531.95/67.79	thf(zip_derived_cl3, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : ($i > $i) > $i > $o, X3 : $i]:
531.95/67.79	       ( (X0 @ (sk__2 @ X1 @ X0) @ X3)
531.95/67.79	        |  (X1 @ (sk__2 @ X1 @ X0) @ X3)
531.95/67.79	        | ~ (X0 @ (^[Y0 : $i]: (Y0)) @ (sk__5 @ X1 @ X0)))),
531.95/67.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
531.95/67.79	thf(zip_derived_cl1476, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
531.95/67.79	       (~ (X0 @ (^[Y0 : $i]: (Y0)) @ 
531.95/67.79	           (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0))
531.95/67.79	        |  ((^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
531.95/67.79	            (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0) @ X1)
531.95/67.79	        |  (X0 @ (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0) @ X1))),
531.95/67.79	    inference('eq_fact', [status(thm)], [zip_derived_cl3])).
531.95/67.79	thf(zip_derived_cl1492, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
531.95/67.79	       (~ (X0 @ (^[Y0 : $i]: (Y0)) @ 
531.95/67.79	           (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0))
531.95/67.79	        |  (X0 @ (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0) @ X1))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl1476])).
531.95/67.79	thf(zip_derived_cl2, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : ($i > $i) > $i > $o, X3 : $i]:
531.95/67.79	       ( (X0 @ (sk__2 @ X1 @ X0) @ X3)
531.95/67.79	        |  (X1 @ (sk__2 @ X1 @ X0) @ X3)
531.95/67.79	        | ~ (X1 @ (^[Y0 : $i]: (Y0)) @ (sk__5 @ X1 @ X0)))),
531.95/67.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
531.95/67.79	thf(zip_derived_cl714, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
531.95/67.79	       ( (X0 @ 
531.95/67.79	          (sk__2 @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0) @ 
531.95/67.79	          X1)
531.95/67.79	        |  ((^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (sk__2 @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0) @ 
531.95/67.79	            X1)
531.95/67.79	        | ~ ((^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	             (^[Y0 : $i]: (Y0)) @ 
531.95/67.79	             (sk__5 @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0)))),
531.95/67.79	    inference('elim_leibniz_eq_-', [status(thm)], [zip_derived_cl2])).
531.95/67.79	thf(zip_derived_cl745, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
531.95/67.79	       ( (X0 @ 
531.95/67.79	          (sk__2 @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0) @ 
531.95/67.79	          X1)
531.95/67.79	        |  ((((^[Y0 : $i]: (Y0))) = (sk__2 @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0)))
531.95/67.79	        | ~ ((((^[Y0 : $i]: (Y0))) = ((^[Y0 : $i]: (Y0))))))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl714])).
531.95/67.79	thf(zip_derived_cl746, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
531.95/67.79	       ( (X0 @ 
531.95/67.79	          (sk__2 @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0) @ 
531.95/67.79	          X1)
531.95/67.79	        |  ((((^[Y0 : $i]: (Y0))) = (sk__2 @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0))))),
531.95/67.79	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl745])).
531.95/67.79	thf(zip_derived_cl747, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
531.95/67.79	       ( (X0 @ 
531.95/67.79	          (sk__2 @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0) @ 
531.95/67.79	          X1)
531.95/67.79	        | (((^[Y0 : $i]: (Y0)))
531.95/67.79	            = (sk__2 @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	               X0)))),
531.95/67.79	    inference('simplify nested equalities', [status(thm)],
531.95/67.79	              [zip_derived_cl746])).
531.95/67.79	thf(zip_derived_cl19528, plain,
531.95/67.79	    (![X0 : $o, X2 : $i]:
531.95/67.79	       ( ((^[Y0 : $i > $i,Y1 : $i]: (X0)) @ 
531.95/67.79	          (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: (X0))) @ 
531.95/67.79	          X2)
531.95/67.79	        | (((^[Y0 : $i]: (Y0)))
531.95/67.79	            = (sk__2 @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: (X0)))))),
531.95/67.79	    inference('sup+', [status(thm)], [zip_derived_cl1492, zip_derived_cl747])).
531.95/67.79	thf(zip_derived_cl19589, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       ( (X0)
531.95/67.79	        | (((^[Y0 : $i]: (Y0)))
531.95/67.79	            = (sk__2 @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: (X0)))))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl19528])).
531.95/67.79	thf(zip_derived_cl20855, plain,
531.95/67.79	    (![X0 : $o, X1 : $i]:
531.95/67.79	       ((((^[Y0 : $i]: (Y0)) @ X1)
531.95/67.79	          = (sk__2 @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: (X0)) @ X1))
531.95/67.79	        |  (X0))),
531.95/67.79	    inference('ho_complete_eq', [status(thm)], [zip_derived_cl19589])).
531.95/67.79	thf(zip_derived_cl20857, plain,
531.95/67.79	    (![X0 : $o, X1 : $i]:
531.95/67.79	       (((X1)
531.95/67.79	          = (sk__2 @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: (X0)) @ X1))
531.95/67.79	        |  (X0))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl20855])).
531.95/67.79	thf(zip_derived_cl1492, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
531.95/67.79	       (~ (X0 @ (^[Y0 : $i]: (Y0)) @ 
531.95/67.79	           (sk__5 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0))
531.95/67.79	        |  (X0 @ (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X0) @ X1))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl1476])).
531.95/67.79	thf(zip_derived_cl0, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : ($i > $i) > $i > $o, X2 : $i]:
531.95/67.79	       ( (X0 @ (sk__1 @ X1 @ X0) @ X2)
531.95/67.79	        |  (X1 @ (sk__1 @ X1 @ X0) @ X2)
531.95/67.79	        | ~ (X1 @ (^[Y0 : $i]: (Y0)) @ (sk__5 @ X1 @ X0)))),
531.95/67.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
531.95/67.79	thf(zip_derived_cl38, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
531.95/67.79	       ( (X0 @ 
531.95/67.79	          (sk__1 @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0) @ 
531.95/67.79	          X1)
531.95/67.79	        |  ((^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (sk__1 @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0) @ 
531.95/67.79	            X1)
531.95/67.79	        | ~ ((^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	             (^[Y0 : $i]: (Y0)) @ 
531.95/67.79	             (sk__5 @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0)))),
531.95/67.79	    inference('elim_leibniz_eq_-', [status(thm)], [zip_derived_cl0])).
531.95/67.79	thf(zip_derived_cl73, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
531.95/67.79	       ( (X0 @ 
531.95/67.79	          (sk__1 @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0) @ 
531.95/67.79	          X1)
531.95/67.79	        |  ((((^[Y0 : $i]: (Y0))) = (sk__1 @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0)))
531.95/67.79	        | ~ ((((^[Y0 : $i]: (Y0))) = ((^[Y0 : $i]: (Y0))))))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl38])).
531.95/67.79	thf(zip_derived_cl74, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
531.95/67.79	       ( (X0 @ 
531.95/67.79	          (sk__1 @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0) @ 
531.95/67.79	          X1)
531.95/67.79	        |  ((((^[Y0 : $i]: (Y0))) = (sk__1 @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0))))),
531.95/67.79	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl73])).
531.95/67.79	thf(zip_derived_cl75, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : $i]:
531.95/67.79	       ( (X0 @ 
531.95/67.79	          (sk__1 @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ X0) @ 
531.95/67.79	          X1)
531.95/67.79	        | (((^[Y0 : $i]: (Y0)))
531.95/67.79	            = (sk__1 @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	               X0)))),
531.95/67.79	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl74])).
531.95/67.79	thf(zip_derived_cl5503, plain,
531.95/67.79	    (![X0 : $o, X2 : $i]:
531.95/67.79	       ( ((^[Y0 : $i > $i,Y1 : $i]: (X0)) @ 
531.95/67.79	          (sk__2 @ (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: (X0))) @ 
531.95/67.79	          X2)
531.95/67.79	        | (((^[Y0 : $i]: (Y0)))
531.95/67.79	            = (sk__1 @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: (X0)))))),
531.95/67.79	    inference('sup+', [status(thm)], [zip_derived_cl1492, zip_derived_cl75])).
531.95/67.79	thf(zip_derived_cl5546, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       ( (X0)
531.95/67.79	        | (((^[Y0 : $i]: (Y0)))
531.95/67.79	            = (sk__1 @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: (X0)))))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl5503])).
531.95/67.79	thf(zip_derived_cl8122, plain,
531.95/67.79	    (![X0 : $o, X1 : $i]:
531.95/67.79	       ((((^[Y0 : $i]: (Y0)) @ X1)
531.95/67.79	          = (sk__1 @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: (X0)) @ X1))
531.95/67.79	        |  (X0))),
531.95/67.79	    inference('ho_complete_eq', [status(thm)], [zip_derived_cl5546])).
531.95/67.79	thf(zip_derived_cl8124, plain,
531.95/67.79	    (![X0 : $o, X1 : $i]:
531.95/67.79	       (((X1)
531.95/67.79	          = (sk__1 @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: (X0)) @ X1))
531.95/67.79	        |  (X0))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl8122])).
531.95/67.79	thf(zip_derived_cl8124, plain,
531.95/67.79	    (![X0 : $o, X1 : $i]:
531.95/67.79	       (((X1)
531.95/67.79	          = (sk__1 @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	             (^[Y0 : $i > $i,Y1 : $i]: (X0)) @ X1))
531.95/67.79	        |  (X0))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl8122])).
531.95/67.79	thf(zip_derived_cl10, plain,
531.95/67.79	    (![X0 : ($i > $i) > $i > $o, X1 : ($i > $i) > $i > $o]:
531.95/67.79	       (~ (sk_ @ (sk__1 @ X1 @ X0 @ (sk__4 @ X1 @ X0)))
531.95/67.79	        | ~ (X1 @ (^[Y0 : $i]: (sk__1 @ X1 @ X0 @ (sk__2 @ X1 @ X0 @ Y0))) @ 
531.95/67.79	             (sk__3 @ X1 @ X0))
531.95/67.79	        | ~ (X1 @ (^[Y0 : $i]: (Y0)) @ (sk__5 @ X1 @ X0)))),
531.95/67.79	    inference('cnf', [status(esa)], [zf_stmt_0])).
531.95/67.79	thf(zip_derived_cl10149, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       (~ (sk_ @ 
531.95/67.79	           (sk__4 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: (X0))))
531.95/67.79	        |  (X0)
531.95/67.79	        | ~ ((^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	             (^[Y0 : $i]: (Y0)) @ 
531.95/67.79	             (sk__5 @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: (X0))))
531.95/67.79	        | ~ ((^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	             (^[Y0 : $i]:
531.95/67.79	                (sk__1 @ 
531.95/67.79	                 (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                 (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ 
531.95/67.79	                 (sk__2 @ 
531.95/67.79	                  (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                  (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ Y0))) @ 
531.95/67.79	             (sk__3 @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: (X0)))))),
531.95/67.79	    inference('sup-', [status(thm)], [zip_derived_cl8124, zip_derived_cl10])).
531.95/67.79	thf(zip_derived_cl10186, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       (~ (sk_ @ 
531.95/67.79	           (sk__4 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: (X0))))
531.95/67.79	        |  (X0)
531.95/67.79	        | ~ ((((^[Y0 : $i]: (Y0))) = ((^[Y0 : $i]: (Y0)))))
531.95/67.79	        | ~ ((((^[Y0 : $i]: (Y0))) =
531.95/67.79	              ((^[Y0 : $i]:
531.95/67.79	                  (sk__1 @ 
531.95/67.79	                   (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                   (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ 
531.95/67.79	                   (sk__2 @ 
531.95/67.79	                    (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                    (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ Y0)))))))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl10149])).
531.95/67.79	thf(zip_derived_cl10187, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       (~ (sk_ @ 
531.95/67.79	           (sk__4 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: (X0))))
531.95/67.79	        |  (X0)
531.95/67.79	        | ~ ((((^[Y0 : $i]: (Y0))) =
531.95/67.79	              ((^[Y0 : $i]:
531.95/67.79	                  (sk__1 @ 
531.95/67.79	                   (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                   (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ 
531.95/67.79	                   (sk__2 @ 
531.95/67.79	                    (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                    (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ Y0)))))))),
531.95/67.79	    inference('simplify boolean subterms', [status(thm)],
531.95/67.79	              [zip_derived_cl10186])).
531.95/67.79	thf(zip_derived_cl10188, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       (~ (sk_ @ 
531.95/67.79	           (sk__4 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: (X0))))
531.95/67.79	        |  (X0)
531.95/67.79	        | (((^[Y0 : $i]: (Y0)))
531.95/67.79	            != ((^[Y0 : $i]:
531.95/67.79	                   (sk__1 @ 
531.95/67.79	                    (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                    (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ 
531.95/67.79	                    (sk__2 @ 
531.95/67.79	                     (^[Y1 : $i > $i,Y2 : $i]:
531.95/67.79	                        ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                     (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ Y0))))))),
531.95/67.79	    inference('simplify nested equalities', [status(thm)],
531.95/67.79	              [zip_derived_cl10187])).
531.95/67.79	thf(zip_derived_cl13588, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       (~ (sk_ @ 
531.95/67.79	           (sk__4 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: (X0))))
531.95/67.79	        |  (X0)
531.95/67.79	        | (('#sk64567' @ X0)
531.95/67.79	            != (sk__1 @ 
531.95/67.79	                (^[Y0 : $i > $i,Y1 : $i]:
531.95/67.79	                   ((((^[Y2 : $i]: (Y2))) = ((^[Y2 : $i]: (Y0 @ Y2)))))) @ 
531.95/67.79	                (^[Y0 : $i > $i,Y1 : $i]: (X0)) @ 
531.95/67.79	                (sk__2 @ 
531.95/67.79	                 (^[Y0 : $i > $i,Y1 : $i]:
531.95/67.79	                    ((((^[Y2 : $i]: (Y2))) = ((^[Y2 : $i]: (Y0 @ Y2)))))) @ 
531.95/67.79	                 (^[Y0 : $i > $i,Y1 : $i]: (X0)) @ ('#sk64567' @ X0)))))),
531.95/67.79	    inference('neg_ext', [status(thm)], [zip_derived_cl10188])).
531.95/67.79	thf(zip_derived_cl13590, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       (~ (sk_ @ 
531.95/67.79	           (sk__4 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: (X0))))
531.95/67.79	        |  (X0)
531.95/67.79	        | (('#sk64567' @ X0)
531.95/67.79	            != (sk__1 @ 
531.95/67.79	                (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	                (^[Y0 : $i > $i,Y1 : $i]: (X0)) @ 
531.95/67.79	                (sk__2 @ 
531.95/67.79	                 (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	                 (^[Y0 : $i > $i,Y1 : $i]: (X0)) @ ('#sk64567' @ X0)))))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl13588])).
531.95/67.79	thf(zip_derived_cl13687, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       ((('#sk64567' @ X0)
531.95/67.79	          != (sk__2 @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: (X0)) @ ('#sk64567' @ X0)))
531.95/67.79	        |  (X0)
531.95/67.79	        |  (X0)
531.95/67.79	        | ~ (sk_ @ 
531.95/67.79	             (sk__4 @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: (X0)))))),
531.95/67.79	    inference('sup-', [status(thm)],
531.95/67.79	              [zip_derived_cl8124, zip_derived_cl13590])).
531.95/67.79	thf(zip_derived_cl13694, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       (~ (sk_ @ 
531.95/67.79	           (sk__4 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: (X0))))
531.95/67.79	        |  (X0)
531.95/67.79	        | (('#sk64567' @ X0)
531.95/67.79	            != (sk__2 @ 
531.95/67.79	                (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	                (^[Y0 : $i > $i,Y1 : $i]: (X0)) @ ('#sk64567' @ X0))))),
531.95/67.79	    inference('simplify', [status(thm)], [zip_derived_cl13687])).
531.95/67.79	thf(zip_derived_cl21644, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       ((('#sk64567' @ X0) != ('#sk64567' @ X0))
531.95/67.79	        |  (X0)
531.95/67.79	        |  (X0)
531.95/67.79	        | ~ (sk_ @ 
531.95/67.79	             (sk__4 @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: (X0)))))),
531.95/67.79	    inference('sup-', [status(thm)],
531.95/67.79	              [zip_derived_cl20857, zip_derived_cl13694])).
531.95/67.79	thf(zip_derived_cl21683, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       (~ (sk_ @ 
531.95/67.79	           (sk__4 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: (X0))))
531.95/67.79	        |  (X0))),
531.95/67.79	    inference('simplify', [status(thm)], [zip_derived_cl21644])).
531.95/67.79	thf(zip_derived_cl21868, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       (~ ((^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	           (^[Y0 : $i]: (Y0)) @ 
531.95/67.79	           (sk__5 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: (X0))))
531.95/67.79	        | ~ ((^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	             (^[Y0 : $i]:
531.95/67.79	                (sk__1 @ 
531.95/67.79	                 (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                 (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ 
531.95/67.79	                 (sk__2 @ 
531.95/67.79	                  (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                  (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ Y0))) @ 
531.95/67.79	             (sk__3 @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	              (^[Y0 : $i > $i,Y1 : $i]: (X0))))
531.95/67.79	        |  (X0))),
531.95/67.79	    inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl21683])).
531.95/67.79	thf(zip_derived_cl21909, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       (~ ((((^[Y0 : $i]: (Y0))) = ((^[Y0 : $i]: (Y0)))))
531.95/67.79	        | ~ ((((^[Y0 : $i]: (Y0))) =
531.95/67.79	              ((^[Y0 : $i]:
531.95/67.79	                  (sk__1 @ 
531.95/67.79	                   (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                   (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ 
531.95/67.79	                   (sk__2 @ 
531.95/67.79	                    (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                    (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ Y0))))))
531.95/67.79	        |  (X0))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl21868])).
531.95/67.79	thf(zip_derived_cl21910, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       (~ ((((^[Y0 : $i]: (Y0))) =
531.95/67.79	            ((^[Y0 : $i]:
531.95/67.79	                (sk__1 @ 
531.95/67.79	                 (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                 (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ 
531.95/67.79	                 (sk__2 @ 
531.95/67.79	                  (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                  (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ Y0))))))
531.95/67.79	        |  (X0))),
531.95/67.79	    inference('simplify boolean subterms', [status(thm)],
531.95/67.79	              [zip_derived_cl21909])).
531.95/67.79	thf(zip_derived_cl21911, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       ((((^[Y0 : $i]: (Y0)))
531.95/67.79	          != ((^[Y0 : $i]:
531.95/67.79	                 (sk__1 @ 
531.95/67.79	                  (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                  (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ 
531.95/67.79	                  (sk__2 @ 
531.95/67.79	                   (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                   (^[Y1 : $i > $i,Y2 : $i]: (X0)) @ Y0)))))
531.95/67.79	        |  (X0))),
531.95/67.79	    inference('simplify nested equalities', [status(thm)],
531.95/67.79	              [zip_derived_cl21910])).
531.95/67.79	thf(zip_derived_cl24497, plain,
531.95/67.79	    ((((^[Y0 : $i]: (Y0)))
531.95/67.79	       != ((^[Y0 : $i]:
531.95/67.79	              (sk__1 @ 
531.95/67.79	               (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	               (^[Y1 : $i > $i,Y2 : $i]: ($false)) @ 
531.95/67.79	               (sk__2 @ 
531.95/67.79	                (^[Y1 : $i > $i,Y2 : $i]: ((((^[Y3 : $i]: (Y3))) = (Y1)))) @ 
531.95/67.79	                (^[Y1 : $i > $i,Y2 : $i]: ($false)) @ Y0)))))),
531.95/67.79	    inference('false_elim', [status(thm)], [zip_derived_cl21911])).
531.95/67.79	thf(zip_derived_cl25127, plain,
531.95/67.79	    ((('#sk64567' @ ($false))
531.95/67.79	       != (sk__1 @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]:
531.95/67.79	              ((((^[Y2 : $i]: (Y2))) = ((^[Y2 : $i]: (Y0 @ Y2)))))) @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
531.95/67.79	           (sk__2 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]:
531.95/67.79	               ((((^[Y2 : $i]: (Y2))) = ((^[Y2 : $i]: (Y0 @ Y2)))))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ ('#sk64567' @ ($false)))))),
531.95/67.79	    inference('neg_ext', [status(thm)], [zip_derived_cl24497])).
531.95/67.79	thf(zip_derived_cl25128, plain,
531.95/67.79	    ((('#sk64567' @ ($false))
531.95/67.79	       != (sk__1 @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	           (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ 
531.95/67.79	           (sk__2 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ ('#sk64567' @ ($false)))))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl25127])).
531.95/67.79	thf(zip_derived_cl19589, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       ( (X0)
531.95/67.79	        | (((^[Y0 : $i]: (Y0)))
531.95/67.79	            = (sk__2 @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: (X0)))))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl19528])).
531.95/67.79	thf(zip_derived_cl20856, plain,
531.95/67.79	    ((((^[Y0 : $i]: (Y0)))
531.95/67.79	       = (sk__2 @ 
531.95/67.79	          (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	          (^[Y0 : $i > $i,Y1 : $i]: ($false))))),
531.95/67.79	    inference('false_elim', [status(thm)], [zip_derived_cl19589])).
531.95/67.79	thf(zip_derived_cl20892, plain,
531.95/67.79	    (![X1 : $i]:
531.95/67.79	       (((^[Y0 : $i]: (Y0)) @ X1)
531.95/67.79	         = (sk__2 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X1))),
531.95/67.79	    inference('ho_complete_eq', [status(thm)], [zip_derived_cl20856])).
531.95/67.79	thf(zip_derived_cl20893, plain,
531.95/67.79	    (![X1 : $i]:
531.95/67.79	       ((X1)
531.95/67.79	         = (sk__2 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X1))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl20892])).
531.95/67.79	thf(zip_derived_cl5546, plain,
531.95/67.79	    (![X0 : $o]:
531.95/67.79	       ( (X0)
531.95/67.79	        | (((^[Y0 : $i]: (Y0)))
531.95/67.79	            = (sk__1 @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	               (^[Y0 : $i > $i,Y1 : $i]: (X0)))))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl5503])).
531.95/67.79	thf(zip_derived_cl8123, plain,
531.95/67.79	    ((((^[Y0 : $i]: (Y0)))
531.95/67.79	       = (sk__1 @ 
531.95/67.79	          (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	          (^[Y0 : $i > $i,Y1 : $i]: ($false))))),
531.95/67.79	    inference('false_elim', [status(thm)], [zip_derived_cl5546])).
531.95/67.79	thf(zip_derived_cl8149, plain,
531.95/67.79	    (![X1 : $i]:
531.95/67.79	       (((^[Y0 : $i]: (Y0)) @ X1)
531.95/67.79	         = (sk__1 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X1))),
531.95/67.79	    inference('ho_complete_eq', [status(thm)], [zip_derived_cl8123])).
531.95/67.79	thf(zip_derived_cl8150, plain,
531.95/67.79	    (![X1 : $i]:
531.95/67.79	       ((X1)
531.95/67.79	         = (sk__1 @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ((((^[Y2 : $i]: (Y2))) = (Y0)))) @ 
531.95/67.79	            (^[Y0 : $i > $i,Y1 : $i]: ($false)) @ X1))),
531.95/67.79	    inference('ho_norm', [status(thm)], [zip_derived_cl8149])).
531.95/67.79	thf(zip_derived_cl25129, plain,
531.95/67.79	    ((('#sk64567' @ ($false)) != ('#sk64567' @ ($false)))),
531.95/67.79	    inference('demod', [status(thm)],
531.95/67.79	              [zip_derived_cl25128, zip_derived_cl20893, zip_derived_cl8150])).
531.95/67.79	thf(zip_derived_cl25130, plain, ($false),
531.95/67.79	    inference('simplify', [status(thm)], [zip_derived_cl25129])).
531.95/67.79	
531.95/67.79	% SZS output end Refutation
531.95/67.79	
531.95/67.79	
531.95/67.79	% Terminating...
532.14/67.93	% Runner terminated.
532.14/67.94	% Zipperpin 1.5 exiting
532.14/67.94	EOF