0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.kCvXeCsjEm true
0.13/0.34	% Computer   : n003.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   : 1200
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Tue Jul 13 11:31:09 EDT 2021
0.13/0.34	% CPUTime    : 
0.13/0.34	% Running portfolio for 120 s
0.13/0.34	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.13/0.34	% Number of cores: 8
0.13/0.35	% Python version: Python 3.6.8
0.13/0.35	% Running in HO mode
0.57/0.64	% Total configuration time : 828
0.57/0.64	% Estimated wc time : 983
0.57/0.64	% Estimated cpu time (8 cpus) : 122.875
0.58/0.72	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 47s
0.58/0.74	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 47s
0.58/0.74	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 47s
0.58/0.74	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 18s
0.58/0.75	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 53s
0.58/0.75	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 24s
0.58/0.75	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 41s
0.58/0.78	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 35s
143.92/18.78	% /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 53s
189.14/24.57	% /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 33s
279.85/36.54	% /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 18s
324.97/42.41	% /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 18s
367.61/47.76	% /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 39s
367.61/47.77	% /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 47s
367.61/47.79	% /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 18s
414.95/53.79	% /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 10s
419.06/54.36	% /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 12s
439.94/57.00	% Solved by lams/33_shallow_sine.sh.
439.94/57.00	% running E: timeout 27 /export/starexec/sandbox/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox/tmp/tmp.kCvXeCsjEm/e_inputef965d --cpu-limit=25 --auto-schedule -s -p
439.94/57.00	% done 450 iterations in 9.206s
439.94/57.00	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
439.94/57.00	% SZS output start Refutation
439.94/57.00	thf(sk__type, type, sk_: ($o > $o) > ($o > $o) > $o).
439.94/57.00	thf(ramsey_u_2_4_4, conjecture,
439.94/57.00	  (![G:( ( $o > $o ) > ( $o > $o ) > $o )]:
439.94/57.00	   ( ( ![Xx:( $o > $o ),Xy:( $o > $o )]:
439.94/57.00	       ( ( G @ Xx @ Xy ) => ( G @ Xy @ Xx ) ) ) =>
439.94/57.00	     ( ( ?[Xx0:( $o > $o ),Xx1:( $o > $o ),Xx2:( $o > $o ),Xx3:( $o > $o ),
439.94/57.00	           Xp0:( ( $o > $o ) > $o ),Xp1:( ( $o > $o ) > $o ),
439.94/57.00	           Xp2:( ( $o > $o ) > $o )]:
439.94/57.00	         ( ( ~( Xp0 @ Xx2 ) ) & ( ~( Xp1 @ Xx0 ) ) & ( Xp1 @ Xx1 ) & 
439.94/57.00	           ( ~( Xp1 @ Xx3 ) ) & ( ~( Xp2 @ Xx0 ) ) & ( ~( Xp2 @ Xx1 ) ) & 
439.94/57.00	           ( ~( G @ Xx2 @ Xx0 ) ) & ( ~( G @ Xx2 @ Xx1 ) ) & 
439.94/57.00	           ( ~( G @ Xx3 @ Xx2 ) ) & ( ~( G @ Xx3 @ Xx1 ) ) & 
439.94/57.00	           ( ~( G @ Xx3 @ Xx0 ) ) & ( ~( G @ Xx1 @ Xx0 ) ) & 
439.94/57.00	           ( ~( Xp2 @ Xx3 ) ) & ( Xp2 @ Xx2 ) & ( ~( Xp1 @ Xx2 ) ) & 
439.94/57.00	           ( ~( Xp0 @ Xx3 ) ) & ( ~( Xp0 @ Xx1 ) ) & ( Xp0 @ Xx0 ) ) ) | 
439.94/57.00	       ( ?[Xx0:( $o > $o ),Xx1:( $o > $o ),Xp0:( ( $o > $o ) > $o )]:
439.94/57.00	         ( ( Xp0 @ Xx0 ) & ( ~( Xp0 @ Xx1 ) ) & ( G @ Xx1 @ Xx0 ) ) ) ) ))).
439.94/57.00	thf(zf_stmt_0, negated_conjecture,
439.94/57.00	  (~( ![G:( ( $o > $o ) > ( $o > $o ) > $o )]:
439.94/57.00	      ( ( ![Xx:( $o > $o ),Xy:( $o > $o )]:
439.94/57.00	          ( ( G @ Xx @ Xy ) => ( G @ Xy @ Xx ) ) ) =>
439.94/57.00	        ( ( ?[Xx0:( $o > $o ),Xx1:( $o > $o ),Xx2:( $o > $o ),
439.94/57.00	              Xx3:( $o > $o ),Xp0:( ( $o > $o ) > $o ),
439.94/57.00	              Xp1:( ( $o > $o ) > $o ),Xp2:( ( $o > $o ) > $o )]:
439.94/57.00	            ( ( ~( Xp0 @ Xx2 ) ) & ( ~( Xp1 @ Xx0 ) ) & ( Xp1 @ Xx1 ) & 
439.94/57.00	              ( ~( Xp1 @ Xx3 ) ) & ( ~( Xp2 @ Xx0 ) ) & ( ~( Xp2 @ Xx1 ) ) & 
439.94/57.00	              ( ~( G @ Xx2 @ Xx0 ) ) & ( ~( G @ Xx2 @ Xx1 ) ) & 
439.94/57.00	              ( ~( G @ Xx3 @ Xx2 ) ) & ( ~( G @ Xx3 @ Xx1 ) ) & 
439.94/57.00	              ( ~( G @ Xx3 @ Xx0 ) ) & ( ~( G @ Xx1 @ Xx0 ) ) & 
439.94/57.00	              ( ~( Xp2 @ Xx3 ) ) & ( Xp2 @ Xx2 ) & ( ~( Xp1 @ Xx2 ) ) & 
439.94/57.00	              ( ~( Xp0 @ Xx3 ) ) & ( ~( Xp0 @ Xx1 ) ) & ( Xp0 @ Xx0 ) ) ) | 
439.94/57.00	          ( ?[Xx0:( $o > $o ),Xx1:( $o > $o ),Xp0:( ( $o > $o ) > $o )]:
439.94/57.00	            ( ( Xp0 @ Xx0 ) & ( ~( Xp0 @ Xx1 ) ) & ( G @ Xx1 @ Xx0 ) ) ) ) ) )),
439.94/57.00	  inference('cnf.neg', [status(esa)], [ramsey_u_2_4_4])).
439.94/57.00	thf(zip_derived_cl2, plain,
439.94/57.00	    (![X9 : $o > $o, X10 : $o > $o, X11 : ($o > $o) > $o]:
439.94/57.00	       (~ (sk_ @ X9 @ X10) |  (X11 @ X9) | ~ (X11 @ X10))),
439.94/57.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
439.94/57.00	thf(zip_derived_cl35, plain,
439.94/57.00	    (![X0 : ($o > $o) > $o, X1 : $o > $o]:
439.94/57.00	       ( ((^[Y0 : $o > $o]: (Y0 @ (X0 @ Y0))) @ X1)
439.94/57.00	        | ~ ((^[Y0 : $o > $o]: (Y0 @ (X0 @ Y0))) @ (^[Y0 : $o]: ($true)))
439.94/57.00	        | ~ (sk_ @ X1 @ (^[Y0 : $o]: ($true))))),
439.94/57.00	    inference('eq_fact', [status(thm)], [zip_derived_cl2])).
439.94/57.00	thf(zip_derived_cl48, plain,
439.94/57.00	    (![X0 : ($o > $o) > $o, X1 : $o > $o]:
439.94/57.00	       ( (X1 @ (X0 @ X1)) | ~ (sk_ @ X1 @ (^[Y0 : $o]: ($true))))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl35])).
439.94/57.00	thf(zip_derived_cl49, plain,
439.94/57.00	    (![X0 : $o, X1 : $o > $o]:
439.94/57.00	       ( (X1 @ ((^[Y0 : $o > $o]: (X0)) @ X1))
439.94/57.00	        | ~ (sk_ @ X1 @ (^[Y0 : $o]: ($true))))),
439.94/57.00	    inference('prune_arg_fun', [status(thm)], [zip_derived_cl48])).
439.94/57.00	thf(zip_derived_cl50, plain,
439.94/57.00	    (![X0 : $o, X1 : $o > $o]:
439.94/57.00	       ( (X1 @ X0) | ~ (sk_ @ X1 @ (^[Y0 : $o]: ($true))))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl49])).
439.94/57.00	thf(zip_derived_cl1, plain,
439.94/57.00	    (![X2 : ($o > $o) > $o, X3 : $o > $o, X4 : ($o > $o) > $o, X5 : $o > $o, 
439.94/57.00	       X6 : $o > $o, X7 : $o > $o, X8 : ($o > $o) > $o]:
439.94/57.00	       ( (X2 @ X3)
439.94/57.00	        |  (X4 @ X5)
439.94/57.00	        | ~ (X4 @ X6)
439.94/57.00	        |  (X4 @ X7)
439.94/57.00	        |  (sk_ @ X3 @ X5)
439.94/57.00	        |  (sk_ @ X3 @ X6)
439.94/57.00	        |  (sk_ @ X7 @ X3)
439.94/57.00	        |  (sk_ @ X7 @ X6)
439.94/57.00	        |  (sk_ @ X7 @ X5)
439.94/57.00	        |  (sk_ @ X6 @ X5)
439.94/57.00	        |  (X4 @ X3)
439.94/57.00	        |  (X2 @ X7)
439.94/57.00	        |  (X2 @ X6)
439.94/57.00	        | ~ (X2 @ X5)
439.94/57.00	        | ~ (X8 @ X3)
439.94/57.00	        |  (X8 @ X7)
439.94/57.00	        |  (X8 @ X6)
439.94/57.00	        |  (X8 @ X5))),
439.94/57.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
439.94/57.00	thf(zip_derived_cl134, plain,
439.94/57.00	    (![X0 : ($o > $o) > $o, X1 : $o > $o, X2 : $o > $o, X3 : $o > $o, 
439.94/57.00	       X4 : $o > $o, X5 : ($o > $o) > $o]:
439.94/57.00	       ( (X0 @ X1)
439.94/57.00	        |  (X0 @ X2)
439.94/57.00	        |  (X0 @ X3)
439.94/57.00	        | ~ (X0 @ X4)
439.94/57.00	        |  (X5 @ X4)
439.94/57.00	        |  (sk_ @ X2 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X2)
439.94/57.00	        |  (sk_ @ X3 @ X4)
439.94/57.00	        |  (sk_ @ X4 @ X2)
439.94/57.00	        |  (sk_ @ X4 @ X1)
439.94/57.00	        |  (X5 @ X3)
439.94/57.00	        | ~ (X5 @ X2)
439.94/57.00	        |  (X5 @ X1)
439.94/57.00	        |  ((^[Y0 : $o > $o]: (((Y0) = (X1)))) @ X2)
439.94/57.00	        |  ((^[Y0 : $o > $o]: (((Y0) = (X1)))) @ X3)
439.94/57.00	        |  ((^[Y0 : $o > $o]: (((Y0) = (X1)))) @ X4))),
439.94/57.00	    inference('ho_elim_pred', [status(thm)], [zip_derived_cl1])).
439.94/57.00	thf(zip_derived_cl552, plain,
439.94/57.00	    (![X0 : ($o > $o) > $o, X1 : $o > $o, X2 : $o > $o, X3 : $o > $o, 
439.94/57.00	       X4 : $o > $o, X5 : ($o > $o) > $o]:
439.94/57.00	       ( (X0 @ X1)
439.94/57.00	        |  (X0 @ X2)
439.94/57.00	        |  (X0 @ X3)
439.94/57.00	        | ~ (X0 @ X4)
439.94/57.00	        |  (X5 @ X4)
439.94/57.00	        |  (sk_ @ X2 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X2)
439.94/57.00	        |  (sk_ @ X3 @ X4)
439.94/57.00	        |  (sk_ @ X4 @ X2)
439.94/57.00	        |  (sk_ @ X4 @ X1)
439.94/57.00	        |  (X5 @ X3)
439.94/57.00	        | ~ (X5 @ X2)
439.94/57.00	        |  (X5 @ X1)
439.94/57.00	        |  (((X2) = (X1)))
439.94/57.00	        |  (((X3) = (X1)))
439.94/57.00	        |  (((X4) = (X1))))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl134])).
439.94/57.00	thf(zip_derived_cl553, plain,
439.94/57.00	    (![X0 : ($o > $o) > $o, X1 : $o > $o, X2 : $o > $o, X3 : $o > $o, 
439.94/57.00	       X4 : $o > $o, X5 : ($o > $o) > $o]:
439.94/57.00	       ( (X0 @ X1)
439.94/57.00	        |  (X0 @ X2)
439.94/57.00	        |  (X0 @ X3)
439.94/57.00	        | ~ (X0 @ X4)
439.94/57.00	        |  (X5 @ X4)
439.94/57.00	        |  (sk_ @ X2 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X2)
439.94/57.00	        |  (sk_ @ X3 @ X4)
439.94/57.00	        |  (sk_ @ X4 @ X2)
439.94/57.00	        |  (sk_ @ X4 @ X1)
439.94/57.00	        |  (X5 @ X3)
439.94/57.00	        | ~ (X5 @ X2)
439.94/57.00	        |  (X5 @ X1)
439.94/57.00	        | ((X2) = (X1))
439.94/57.00	        | ((X3) = (X1))
439.94/57.00	        | ((X4) = (X1)))),
439.94/57.00	    inference('simplify nested equalities', [status(thm)],
439.94/57.00	              [zip_derived_cl552])).
439.94/57.00	thf(zip_derived_cl2644, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o, X2 : $o > $o, X3 : $o > $o, 
439.94/57.00	       X4 : ($o > $o) > $o]:
439.94/57.00	       (((X0) = (X1))
439.94/57.00	        | ((X2) = (X1))
439.94/57.00	        | ((X3) = (X1))
439.94/57.00	        |  (X4 @ X1)
439.94/57.00	        | ~ (X4 @ X3)
439.94/57.00	        |  (X4 @ X2)
439.94/57.00	        |  (sk_ @ X0 @ X1)
439.94/57.00	        |  (sk_ @ X0 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X0)
439.94/57.00	        |  (sk_ @ X2 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X1)
439.94/57.00	        |  (X4 @ X0)
439.94/57.00	        |  ((^[Y0 : $o > $o]: (((Y0) = (X0)))) @ X2)
439.94/57.00	        |  ((^[Y0 : $o > $o]: (((Y0) = (X0)))) @ X3)
439.94/57.00	        |  ((^[Y0 : $o > $o]: (((Y0) = (X0)))) @ X1))),
439.94/57.00	    inference('ho_elim_pred', [status(thm)], [zip_derived_cl553])).
439.94/57.00	thf(zip_derived_cl2838, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o, X2 : $o > $o, X3 : $o > $o, 
439.94/57.00	       X4 : ($o > $o) > $o]:
439.94/57.00	       (((X0) = (X1))
439.94/57.00	        | ((X2) = (X1))
439.94/57.00	        | ((X3) = (X1))
439.94/57.00	        |  (X4 @ X1)
439.94/57.00	        | ~ (X4 @ X3)
439.94/57.00	        |  (X4 @ X2)
439.94/57.00	        |  (sk_ @ X0 @ X1)
439.94/57.00	        |  (sk_ @ X0 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X0)
439.94/57.00	        |  (sk_ @ X2 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X1)
439.94/57.00	        |  (X4 @ X0)
439.94/57.00	        |  (((X2) = (X0)))
439.94/57.00	        |  (((X3) = (X0)))
439.94/57.00	        |  (((X1) = (X0))))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl2644])).
439.94/57.00	thf(zip_derived_cl2839, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o, X2 : $o > $o, X3 : $o > $o, 
439.94/57.00	       X4 : ($o > $o) > $o]:
439.94/57.00	       (((X0) = (X1))
439.94/57.00	        | ((X2) = (X1))
439.94/57.00	        | ((X3) = (X1))
439.94/57.00	        |  (X4 @ X1)
439.94/57.00	        | ~ (X4 @ X3)
439.94/57.00	        |  (X4 @ X2)
439.94/57.00	        |  (sk_ @ X0 @ X1)
439.94/57.00	        |  (sk_ @ X0 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X0)
439.94/57.00	        |  (sk_ @ X2 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X1)
439.94/57.00	        |  (X4 @ X0)
439.94/57.00	        | ((X2) = (X0))
439.94/57.00	        | ((X3) = (X0))
439.94/57.00	        | ((X1) = (X0)))),
439.94/57.00	    inference('simplify nested equalities', [status(thm)],
439.94/57.00	              [zip_derived_cl2838])).
439.94/57.00	thf(zip_derived_cl2840, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o, X2 : $o > $o, X3 : $o > $o, 
439.94/57.00	       X4 : ($o > $o) > $o]:
439.94/57.00	       (((X3) = (X0))
439.94/57.00	        | ((X2) = (X0))
439.94/57.00	        |  (X4 @ X0)
439.94/57.00	        |  (sk_ @ X3 @ X1)
439.94/57.00	        |  (sk_ @ X2 @ X1)
439.94/57.00	        |  (sk_ @ X2 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X0)
439.94/57.00	        |  (sk_ @ X0 @ X3)
439.94/57.00	        |  (sk_ @ X0 @ X1)
439.94/57.00	        |  (X4 @ X2)
439.94/57.00	        | ~ (X4 @ X3)
439.94/57.00	        |  (X4 @ X1)
439.94/57.00	        | ((X3) = (X1))
439.94/57.00	        | ((X2) = (X1))
439.94/57.00	        | ((X0) = (X1)))),
439.94/57.00	    inference('simplify', [status(thm)], [zip_derived_cl2839])).
439.94/57.00	thf(zip_derived_cl2857, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o, X2 : $o > $o, X3 : $o > $o]:
439.94/57.00	       (((X0) = (X1))
439.94/57.00	        | ((X2) = (X1))
439.94/57.00	        | ((X3) = (X1))
439.94/57.00	        |  (sk_ @ X0 @ X1)
439.94/57.00	        |  (sk_ @ X0 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X0)
439.94/57.00	        |  (sk_ @ X2 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X1)
439.94/57.00	        | ((X2) = (X0))
439.94/57.00	        | ((X3) = (X0))
439.94/57.00	        |  ((^[Y0 : $o > $o]: (((Y0) = (X3)))) @ X1)
439.94/57.00	        |  ((^[Y0 : $o > $o]: (((Y0) = (X3)))) @ X2)
439.94/57.00	        |  ((^[Y0 : $o > $o]: (((Y0) = (X3)))) @ X0))),
439.94/57.00	    inference('ho_elim_pred', [status(thm)], [zip_derived_cl2840])).
439.94/57.00	thf(zip_derived_cl2882, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o, X2 : $o > $o, X3 : $o > $o]:
439.94/57.00	       (((X0) = (X1))
439.94/57.00	        | ((X2) = (X1))
439.94/57.00	        | ((X3) = (X1))
439.94/57.00	        |  (sk_ @ X0 @ X1)
439.94/57.00	        |  (sk_ @ X0 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X0)
439.94/57.00	        |  (sk_ @ X2 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X1)
439.94/57.00	        | ((X2) = (X0))
439.94/57.00	        | ((X3) = (X0))
439.94/57.00	        |  (((X1) = (X3)))
439.94/57.00	        |  (((X2) = (X3)))
439.94/57.00	        |  (((X0) = (X3))))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl2857])).
439.94/57.00	thf(zip_derived_cl2883, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o, X2 : $o > $o, X3 : $o > $o]:
439.94/57.00	       (((X0) = (X1))
439.94/57.00	        | ((X2) = (X1))
439.94/57.00	        | ((X3) = (X1))
439.94/57.00	        |  (sk_ @ X0 @ X1)
439.94/57.00	        |  (sk_ @ X0 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X0)
439.94/57.00	        |  (sk_ @ X2 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X1)
439.94/57.00	        |  (sk_ @ X3 @ X1)
439.94/57.00	        | ((X2) = (X0))
439.94/57.00	        | ((X3) = (X0))
439.94/57.00	        | ((X1) = (X3))
439.94/57.00	        | ((X2) = (X3))
439.94/57.00	        | ((X0) = (X3)))),
439.94/57.00	    inference('simplify nested equalities', [status(thm)],
439.94/57.00	              [zip_derived_cl2882])).
439.94/57.00	thf(zip_derived_cl2884, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o, X2 : $o > $o, X3 : $o > $o]:
439.94/57.00	       (((X2) = (X3))
439.94/57.00	        | ((X3) = (X0))
439.94/57.00	        | ((X2) = (X0))
439.94/57.00	        |  (sk_ @ X3 @ X1)
439.94/57.00	        |  (sk_ @ X2 @ X1)
439.94/57.00	        |  (sk_ @ X2 @ X3)
439.94/57.00	        |  (sk_ @ X2 @ X0)
439.94/57.00	        |  (sk_ @ X0 @ X3)
439.94/57.00	        |  (sk_ @ X0 @ X1)
439.94/57.00	        | ((X3) = (X1))
439.94/57.00	        | ((X2) = (X1))
439.94/57.00	        | ((X0) = (X1)))),
439.94/57.00	    inference('simplify', [status(thm)], [zip_derived_cl2883])).
439.94/57.00	thf(zip_derived_cl2, plain,
439.94/57.00	    (![X9 : $o > $o, X10 : $o > $o, X11 : ($o > $o) > $o]:
439.94/57.00	       (~ (sk_ @ X9 @ X10) |  (X11 @ X9) | ~ (X11 @ X10))),
439.94/57.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
439.94/57.00	thf(zip_derived_cl6, plain,
439.94/57.00	    (![X9 : $o > $o, X13 : $o]: (~ (X9 @ X13) |  (X9 @ ((($$choice) @ X9))))),
439.94/57.00	    inference('inst_choice((X9))', [status(thm)], [zip_derived_cl2])).
439.94/57.00	thf(zip_derived_cl57, plain,
439.94/57.00	    (( ((^[Y0 : $o]: (Y0)) @ ((($$choice) @ (^[Y0 : $o]: (Y0)))))
439.94/57.00	      | ~ ((^[Y0 : $o]: (Y0)) @ ($true)))),
439.94/57.00	    inference('eq_fact', [status(thm)], [zip_derived_cl6])).
439.94/57.00	thf(zip_derived_cl60, plain, ( ((($$choice) @ (^[Y0 : $o]: (Y0))))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl57])).
439.94/57.00	thf(zip_derived_cl2, plain,
439.94/57.00	    (![X9 : $o > $o, X10 : $o > $o, X11 : ($o > $o) > $o]:
439.94/57.00	       (~ (sk_ @ X9 @ X10) |  (X11 @ X9) | ~ (X11 @ X10))),
439.94/57.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
439.94/57.00	thf(zip_derived_cl34, plain,
439.94/57.00	    (![X0 : ($o > $o) > $o, X1 : $o > $o]:
439.94/57.00	       (~ ((^[Y0 : $o > $o]: (Y0 @ (X0 @ Y0))) @ X1)
439.94/57.00	        |  ((^[Y0 : $o > $o]: (Y0 @ (X0 @ Y0))) @ (^[Y0 : $o]: ($false)))
439.94/57.00	        | ~ (sk_ @ (^[Y0 : $o]: ($false)) @ X1))),
439.94/57.00	    inference('eq_fact', [status(thm)], [zip_derived_cl2])).
439.94/57.00	thf(zip_derived_cl45, plain,
439.94/57.00	    (![X0 : ($o > $o) > $o, X1 : $o > $o]:
439.94/57.00	       (~ (X1 @ (X0 @ X1)) | ~ (sk_ @ (^[Y0 : $o]: ($false)) @ X1))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl34])).
439.94/57.00	thf(zip_derived_cl46, plain,
439.94/57.00	    (![X0 : $o, X1 : $o > $o]:
439.94/57.00	       (~ (X1 @ ((^[Y0 : $o > $o]: (X0)) @ X1))
439.94/57.00	        | ~ (sk_ @ (^[Y0 : $o]: ($false)) @ X1))),
439.94/57.00	    inference('prune_arg_fun', [status(thm)], [zip_derived_cl45])).
439.94/57.00	thf(zip_derived_cl47, plain,
439.94/57.00	    (![X0 : $o, X1 : $o > $o]:
439.94/57.00	       (~ (X1 @ X0) | ~ (sk_ @ (^[Y0 : $o]: ($false)) @ X1))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl46])).
439.94/57.00	thf(zip_derived_cl601, plain,
439.94/57.00	    (~ (sk_ @ (^[Y0 : $o]: ($false)) @ (^[Y0 : $o]: (Y0)))),
439.94/57.00	    inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl47])).
439.94/57.00	thf(zip_derived_cl3411, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o]:
439.94/57.00	       ((((^[Y0 : $o]: ($false))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X1) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        |  (sk_ @ (^[Y0 : $o]: ($false)) @ X1)
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        |  (sk_ @ X0 @ X1)
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: (Y0)))
439.94/57.00	        |  (sk_ @ X1 @ (^[Y0 : $o]: (Y0)))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X1) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = (X1)))),
439.94/57.00	    inference('sup-', [status(thm)], [zip_derived_cl2884, zip_derived_cl601])).
439.94/57.00	thf(zip_derived_cl2, plain,
439.94/57.00	    (![X9 : $o > $o, X10 : $o > $o, X11 : ($o > $o) > $o]:
439.94/57.00	       (~ (sk_ @ X9 @ X10) |  (X11 @ X9) | ~ (X11 @ X10))),
439.94/57.00	    inference('cnf', [status(esa)], [zf_stmt_0])).
439.94/57.00	thf(zip_derived_cl11, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o]:
439.94/57.00	       (~ (sk_ @ X1 @ X0) |  ((^[Y0 : $o > $o]: (((Y0) = (X0)))) @ X1))),
439.94/57.00	    inference('ho_elim_pred', [status(thm)], [zip_derived_cl2])).
439.94/57.00	thf(zip_derived_cl23, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o]: (~ (sk_ @ X1 @ X0) |  (((X1) = (X0))))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl11])).
439.94/57.00	thf(zip_derived_cl24, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o]: (~ (sk_ @ X1 @ X0) | ((X1) = (X0)))),
439.94/57.00	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])).
439.94/57.00	thf(zip_derived_cl3846, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o]:
439.94/57.00	       (((X1) = (X0))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X1) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: (Y0)))
439.94/57.00	        |  (sk_ @ X1 @ (^[Y0 : $o]: (Y0)))
439.94/57.00	        |  (sk_ @ X1 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        |  (sk_ @ (^[Y0 : $o]: ($false)) @ X0)
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X1) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | (((^[Y0 : $o]: ($false))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X1) = (X0)))),
439.94/57.00	    inference('sup-', [status(thm)], [zip_derived_cl3411, zip_derived_cl24])).
439.94/57.00	thf(zip_derived_cl3959, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o]:
439.94/57.00	       ((((^[Y0 : $o]: ($false))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X1) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        |  (sk_ @ (^[Y0 : $o]: ($false)) @ X0)
439.94/57.00	        |  (sk_ @ X1 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        |  (sk_ @ X1 @ (^[Y0 : $o]: (Y0)))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: (Y0)))
439.94/57.00	        | ((X1) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X1) = (X0)))),
439.94/57.00	    inference('simplify', [status(thm)], [zip_derived_cl3846])).
439.94/57.00	thf(zip_derived_cl24, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o]: (~ (sk_ @ X1 @ X0) | ((X1) = (X0)))),
439.94/57.00	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])).
439.94/57.00	thf(zip_derived_cl4009, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o]:
439.94/57.00	       (((X1) = (X0))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X1) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        |  (sk_ @ X1 @ (^[Y0 : $o]: (Y0)))
439.94/57.00	        |  (sk_ @ X1 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        |  (sk_ @ (^[Y0 : $o]: ($false)) @ X0)
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X1) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | (((^[Y0 : $o]: ($false))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0)))))),
439.94/57.00	    inference('sup-', [status(thm)], [zip_derived_cl3959, zip_derived_cl24])).
439.94/57.00	thf(zip_derived_cl4065, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o]:
439.94/57.00	       ((((^[Y0 : $o]: ($false))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X1) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        |  (sk_ @ (^[Y0 : $o]: ($false)) @ X0)
439.94/57.00	        |  (sk_ @ X1 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        |  (sk_ @ X1 @ (^[Y0 : $o]: (Y0)))
439.94/57.00	        | ((X1) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X1) = (X0)))),
439.94/57.00	    inference('simplify', [status(thm)], [zip_derived_cl4009])).
439.94/57.00	thf(zip_derived_cl4864, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o]:
439.94/57.00	       ( ((^[Y0 : $o]: ($false)) @ X1)
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($true))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: (Y0)))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | (((^[Y0 : $o]: ($false))) = ((^[Y0 : $o]: (Y0)))))),
439.94/57.00	    inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl4065])).
439.94/57.00	thf(zip_derived_cl4909, plain,
439.94/57.00	    (![X0 : $o > $o]:
439.94/57.00	       (((X0) = ((^[Y0 : $o]: ($true))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: (Y0)))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | (((^[Y0 : $o]: ($false))) = ((^[Y0 : $o]: (Y0)))))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl4864])).
439.94/57.00	thf(zip_derived_cl24, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o]: (~ (sk_ @ X1 @ X0) | ((X1) = (X0)))),
439.94/57.00	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])).
439.94/57.00	thf(zip_derived_cl5116, plain,
439.94/57.00	    (![X0 : $o > $o]:
439.94/57.00	       ((((^[Y0 : $o]: ($false))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($true))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0)))))),
439.94/57.00	    inference('sup-', [status(thm)], [zip_derived_cl4909, zip_derived_cl24])).
439.94/57.00	thf(zip_derived_cl5157, plain,
439.94/57.00	    (![X0 : $o > $o]:
439.94/57.00	       (((X0) = ((^[Y0 : $o]: ($true))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | (((^[Y0 : $o]: ($false))) = ((^[Y0 : $o]: (Y0)))))),
439.94/57.00	    inference('simplify', [status(thm)], [zip_derived_cl5116])).
439.94/57.00	thf(zip_derived_cl5356, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o]:
439.94/57.00	       ((((^[Y0 : $o]: ($false)) @ X1) = ((^[Y0 : $o]: (Y0)) @ X1))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($true)))))),
439.94/57.00	    inference('ho_complete_eq', [status(thm)], [zip_derived_cl5157])).
439.94/57.00	thf(zip_derived_cl5370, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o]:
439.94/57.00	       (~ (X1)
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($true)))))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl5356])).
439.94/57.00	thf(zip_derived_cl5651, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o, X2 : $o]:
439.94/57.00	       ((((^[Y0 : $o]: ($true)) @ X2) = ((^[Y0 : $o]: (Y0)) @ X2))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($true))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ~ (X1))),
439.94/57.00	    inference('ho_complete_eq', [status(thm)], [zip_derived_cl5370])).
439.94/57.00	thf(zip_derived_cl5663, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o, X2 : $o]:
439.94/57.00	       ( (X2)
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($true))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ~ (X1))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl5651])).
439.94/57.00	thf(zip_derived_cl5842, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o]:
439.94/57.00	       (((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($true))))
439.94/57.00	        |  (X1))),
439.94/57.00	    inference('ho_elim_pred', [status(thm)], [zip_derived_cl5663])).
439.94/57.00	thf(zip_derived_cl6129, plain,
439.94/57.00	    (![X0 : $o > $o]:
439.94/57.00	       (((X0) = ((^[Y0 : $o]: ($true))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        |  (sk_ @ X0 @ (^[Y0 : $o]: ($false)))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0)))))),
439.94/57.00	    inference('ho_elim_pred', [status(thm)], [zip_derived_cl5842])).
439.94/57.00	thf(zip_derived_cl24, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o > $o]: (~ (sk_ @ X1 @ X0) | ((X1) = (X0)))),
439.94/57.00	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])).
439.94/57.00	thf(zip_derived_cl6890, plain,
439.94/57.00	    (![X0 : $o > $o]:
439.94/57.00	       (((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($true))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false)))))),
439.94/57.00	    inference('sup-', [status(thm)], [zip_derived_cl6129, zip_derived_cl24])).
439.94/57.00	thf(zip_derived_cl6935, plain,
439.94/57.00	    (![X0 : $o > $o]:
439.94/57.00	       (((X0) = ((^[Y0 : $o]: ($true))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0)))))),
439.94/57.00	    inference('simplify', [status(thm)], [zip_derived_cl6890])).
439.94/57.00	thf(zip_derived_cl7073, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o]:
439.94/57.00	       (((X0 @ X1) = ((^[Y0 : $o]: ($true)) @ X1))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false)))))),
439.94/57.00	    inference('ho_complete_eq', [status(thm)], [zip_derived_cl6935])).
439.94/57.00	thf(zip_derived_cl7094, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o]:
439.94/57.00	       ( (X0 @ X1)
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: (Y0))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false)))))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl7073])).
439.94/57.00	thf(zip_derived_cl7265, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o, X2 : $o]:
439.94/57.00	       (((X0 @ X2) = ((^[Y0 : $o]: (Y0)) @ X2))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        |  (X0 @ X1))),
439.94/57.00	    inference('ho_complete_eq', [status(thm)], [zip_derived_cl7094])).
439.94/57.00	thf(zip_derived_cl7274, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o, X2 : $o]:
439.94/57.00	       (((X0 @ X2) = (X2))
439.94/57.00	        | (((^[Y0 : $o]: ($true))) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        | ((X0) = ((^[Y0 : $o]: ($false))))
439.94/57.00	        |  (X0 @ X1))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl7265])).
439.94/57.00	thf(zip_derived_cl8231, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o, X2 : $o, X3 : $o]:
439.94/57.00	       ( (X0 @ X1) | ~ (X0 @ X2) |  (X3) | ~ (X0 @ X3))),
439.94/57.00	    inference('cnf_otf', [status(thm)], [zip_derived_cl7274])).
439.94/57.00	thf(zip_derived_cl8233, plain,
439.94/57.00	    (![X0 : $o > $o, X1 : $o, X2 : $o]: ( (X0 @ X1) | ~ (X0 @ X2) |  (X2))),
439.94/57.00	    inference('condensation', [status(thm)], [zip_derived_cl8231])).
439.94/57.00	thf(zip_derived_cl8381, plain,
439.94/57.00	    (![X0 : $o, X1 : $o]: ( (X0) |  ((^[Y0 : $o]: (((Y0) = (X0)))) @ X1))),
439.94/57.00	    inference('ho_elim_pred', [status(thm)], [zip_derived_cl8233])).
439.94/57.00	thf(zip_derived_cl8420, plain,
439.94/57.00	    (![X0 : $o, X1 : $o]: ( (X0) |  (((X1) = (X0))))),
439.94/57.00	    inference('ho_norm', [status(thm)], [zip_derived_cl8381])).
439.94/57.00	thf(zip_derived_cl8421, plain,
439.94/57.00	    (![X0 : $o, X1 : $o]: ( (X0) | ((X1) = (X0)))),
439.94/57.00	    inference('simplify nested equalities', [status(thm)],
439.94/57.00	              [zip_derived_cl8420])).
439.94/57.00	thf(zip_derived_cl8615, plain, (![X0 : $o]:  (X0)),
439.94/57.00	    inference('condensation', [status(thm)], [zip_derived_cl8421])).
439.94/57.00	thf(zip_derived_cl8616, plain, ($false),
439.94/57.00	    inference('flex_resolve', [status(thm)], [zip_derived_cl8615])).
439.94/57.00	
439.94/57.00	% SZS output end Refutation
439.94/57.00	
439.94/57.00	
439.94/57.00	% Terminating...
439.94/57.09	% Runner terminated.
439.94/57.10	% Zipperpin 1.5 exiting
439.94/57.10	EOF