0.07/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.14/0.14	% Command    : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cBiwWks02h true
0.14/0.35	% Computer   : n003.cluster.edu
0.14/0.35	% Model      : x86_64 x86_64
0.14/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.35	% Memory     : 8042.1875MB
0.14/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.35	% CPULimit   : 1200
0.14/0.35	% WCLimit    : 120
0.14/0.35	% DateTime   : Tue Jul 13 14:24:24 EDT 2021
0.14/0.36	% CPUTime    : 
0.14/0.36	% Running portfolio for 120 s
0.14/0.36	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.14/0.36	% Number of cores: 8
0.14/0.36	% Python version: Python 3.6.8
0.14/0.36	% Running in HO mode
0.51/0.65	% Total configuration time : 828
0.51/0.65	% Estimated wc time : 983
0.51/0.65	% Estimated cpu time (8 cpus) : 122.875
0.55/0.69	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s
0.55/0.71	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s
0.55/0.74	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s
0.55/0.75	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s
0.55/0.75	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s
0.55/0.76	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s
0.55/0.76	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s
0.55/0.76	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s
0.57/0.88	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s
22.94/3.54	% Solved by lams/40_c.s.sh.
22.94/3.54	% done 600 iterations in 2.815s
22.94/3.54	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
22.94/3.54	% SZS output start Refutation
22.94/3.54	thf(nat_type, type, nat: $tType).
22.94/3.54	thf(set_nat_type, type, set_nat: $tType).
22.94/3.54	thf(sk__86_type, type, sk__86: nat).
22.94/3.54	thf(one_one_nat_type, type, one_one_nat: nat).
22.94/3.54	thf(zero_zero_nat_type, type, zero_zero_nat: nat).
22.94/3.54	thf(p_type, type, p: nat > nat).
22.94/3.54	thf(groups1842438620at_nat_type, type, groups1842438620at_nat: (nat > nat) > 
22.94/3.54	                                                               set_nat > nat).
22.94/3.54	thf('#sk808_type', type, '#sk808': nat).
22.94/3.54	thf(times_times_nat_type, type, times_times_nat: nat > nat > nat).
22.94/3.54	thf(sk__85_type, type, sk__85: nat).
22.94/3.54	thf(set_ord_atMost_nat_type, type, set_ord_atMost_nat: nat > set_nat).
22.94/3.54	thf(ord_less_eq_nat_type, type, ord_less_eq_nat: nat > nat > $o).
22.94/3.54	thf(conj_0, conjecture,
22.94/3.54	  (( ( ( groups1842438620at_nat @
22.94/3.54	         ( ^[I2:nat]: ( times_times_nat @ ( p @ I2 ) @ I2 ) ) @ 
22.94/3.54	         ( set_ord_atMost_nat @ zero_zero_nat ) ) =
22.94/3.54	       ( zero_zero_nat ) ) & 
22.94/3.54	     ( ![I2:nat]:
22.94/3.54	       ( ( ( p @ I2 ) != ( zero_zero_nat ) ) =>
22.94/3.54	         ( ( ord_less_eq_nat @ one_one_nat @ I2 ) & 
22.94/3.54	           ( ord_less_eq_nat @ I2 @ zero_zero_nat ) ) ) ) ) <=>
22.94/3.54	   ( ![I2:nat]: ( ( p @ I2 ) = ( zero_zero_nat ) ) ))).
22.94/3.54	thf(zf_stmt_0, negated_conjecture,
22.94/3.54	  (~( ( ( ( groups1842438620at_nat @
22.94/3.54	            ( ^[I2:nat]: ( times_times_nat @ ( p @ I2 ) @ I2 ) ) @ 
22.94/3.54	            ( set_ord_atMost_nat @ zero_zero_nat ) ) =
22.94/3.54	          ( zero_zero_nat ) ) & 
22.94/3.54	        ( ![I2:nat]:
22.94/3.54	          ( ( ( p @ I2 ) != ( zero_zero_nat ) ) =>
22.94/3.54	            ( ( ord_less_eq_nat @ one_one_nat @ I2 ) & 
22.94/3.54	              ( ord_less_eq_nat @ I2 @ zero_zero_nat ) ) ) ) ) <=>
22.94/3.54	      ( ![I2:nat]: ( ( p @ I2 ) = ( zero_zero_nat ) ) ) )),
22.94/3.54	  inference('cnf.neg', [status(esa)], [conj_0])).
22.94/3.54	thf(zip_derived_cl416, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ one_one_nat @ X1)
22.94/3.54	        | ((p @ X1) = (zero_zero_nat)))),
22.94/3.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
22.94/3.54	thf(zip_derived_cl1271, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat)) |  (ord_less_eq_nat @ one_one_nat @ X0))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl416])).
22.94/3.54	thf(fact_0_sum_Oneutral__const, axiom,
22.94/3.54	  (![A:set_nat]:
22.94/3.54	   ( ( groups1842438620at_nat @ ( ^[Uu:nat]: ( zero_zero_nat ) ) @ A ) =
22.94/3.54	     ( zero_zero_nat ) ))).
22.94/3.54	thf(zip_derived_cl392, plain,
22.94/3.54	    (![X0 : set_nat]:
22.94/3.54	       ((groups1842438620at_nat @ (^[Y0 : nat]: (zero_zero_nat)) @ X0)
22.94/3.54	         = (zero_zero_nat))),
22.94/3.54	    inference('cnf', [status(esa)], [fact_0_sum_Oneutral__const])).
22.94/3.54	thf(zip_derived_cl417, plain,
22.94/3.54	    ((((p @ sk__85) != (zero_zero_nat))
22.94/3.54	      | ((p @ sk__86) != (zero_zero_nat))
22.94/3.54	      | ((groups1842438620at_nat @ 
22.94/3.54	          (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ 
22.94/3.54	          (set_ord_atMost_nat @ zero_zero_nat)) != (zero_zero_nat)))),
22.94/3.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
22.94/3.54	thf(zip_derived_cl422, plain,
22.94/3.54	    (((((^[Y0 : nat]: (zero_zero_nat)))
22.94/3.54	        != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0))))
22.94/3.54	      | ((p @ sk__85) != (zero_zero_nat))
22.94/3.54	      | ((p @ sk__86) != (zero_zero_nat))
22.94/3.54	      | ((zero_zero_nat) != (zero_zero_nat)))),
22.94/3.54	    inference('ext_sup', [status(thm)],
22.94/3.54	              [zip_derived_cl392, zip_derived_cl417])).
22.94/3.54	thf(zip_derived_cl423, plain,
22.94/3.54	    ((((p @ sk__86) != (zero_zero_nat))
22.94/3.54	      | ((p @ sk__85) != (zero_zero_nat))
22.94/3.54	      | (((^[Y0 : nat]: (zero_zero_nat)))
22.94/3.54	          != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)))))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl422])).
22.94/3.54	thf(zip_derived_cl1272, plain,
22.94/3.54	    ((((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	      |  (ord_less_eq_nat @ one_one_nat @ sk__86)
22.94/3.54	      | (((^[Y0 : nat]: (zero_zero_nat)))
22.94/3.54	          != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0))))
22.94/3.54	      | ((p @ sk__85) != (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl1271, zip_derived_cl423])).
22.94/3.54	thf(zip_derived_cl1280, plain,
22.94/3.54	    ((((p @ sk__85) != (zero_zero_nat))
22.94/3.54	      | (((^[Y0 : nat]: (zero_zero_nat)))
22.94/3.54	          != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0))))
22.94/3.54	      |  (ord_less_eq_nat @ one_one_nat @ sk__86))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl1272])).
22.94/3.54	thf(zip_derived_cl415, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ X1 @ zero_zero_nat)
22.94/3.54	        | ((p @ X1) = (zero_zero_nat)))),
22.94/3.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
22.94/3.54	thf(zip_derived_cl1250, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ X0 @ zero_zero_nat))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl415])).
22.94/3.54	thf(zip_derived_cl1250, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ X0 @ zero_zero_nat))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl415])).
22.94/3.54	thf(zip_derived_cl414, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat))
22.94/3.54	        | ((groups1842438620at_nat @ 
22.94/3.54	            (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ 
22.94/3.54	            (set_ord_atMost_nat @ zero_zero_nat)) = (zero_zero_nat)))),
22.94/3.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
22.94/3.54	thf(zip_derived_cl1250, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ X0 @ zero_zero_nat))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl415])).
22.94/3.54	thf(zip_derived_cl417, plain,
22.94/3.54	    ((((p @ sk__85) != (zero_zero_nat))
22.94/3.54	      | ((p @ sk__86) != (zero_zero_nat))
22.94/3.54	      | ((groups1842438620at_nat @ 
22.94/3.54	          (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ 
22.94/3.54	          (set_ord_atMost_nat @ zero_zero_nat)) != (zero_zero_nat)))),
22.94/3.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
22.94/3.54	thf(zip_derived_cl1254, plain,
22.94/3.54	    ((((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	      |  (ord_less_eq_nat @ sk__85 @ zero_zero_nat)
22.94/3.54	      | ((groups1842438620at_nat @ 
22.94/3.54	          (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ 
22.94/3.54	          (set_ord_atMost_nat @ zero_zero_nat)) != (zero_zero_nat))
22.94/3.54	      | ((p @ sk__86) != (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl1250, zip_derived_cl417])).
22.94/3.54	thf(zip_derived_cl1264, plain,
22.94/3.54	    ((((p @ sk__86) != (zero_zero_nat))
22.94/3.54	      | ((groups1842438620at_nat @ 
22.94/3.54	          (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ 
22.94/3.54	          (set_ord_atMost_nat @ zero_zero_nat)) != (zero_zero_nat))
22.94/3.54	      |  (ord_less_eq_nat @ sk__85 @ zero_zero_nat))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl1254])).
22.94/3.54	thf(zip_derived_cl1561, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__85 @ zero_zero_nat)
22.94/3.54	        | ((p @ sk__86) != (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl414, zip_derived_cl1264])).
22.94/3.54	thf(zip_derived_cl1566, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ sk__86) != (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__85 @ zero_zero_nat)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat)))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl1561])).
22.94/3.54	thf(zip_derived_cl2257, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__86 @ zero_zero_nat)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__85 @ zero_zero_nat))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl1250, zip_derived_cl1566])).
22.94/3.54	thf(zip_derived_cl2261, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       ( (ord_less_eq_nat @ sk__85 @ zero_zero_nat)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__86 @ zero_zero_nat))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl2257])).
22.94/3.54	thf(fact_84_le__zero__eq, axiom,
22.94/3.54	  (![N:nat]:
22.94/3.54	   ( ( ord_less_eq_nat @ N @ zero_zero_nat ) <=>
22.94/3.54	     ( ( N ) = ( zero_zero_nat ) ) ))).
22.94/3.54	thf(zip_derived_cl67, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((X0) = (zero_zero_nat)) | ~ (ord_less_eq_nat @ X0 @ zero_zero_nat))),
22.94/3.54	    inference('cnf', [status(esa)], [fact_84_le__zero__eq])).
22.94/3.54	thf(zip_derived_cl2299, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       ( (ord_less_eq_nat @ sk__86 @ zero_zero_nat)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        | ((sk__85) = (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl2261, zip_derived_cl67])).
22.94/3.54	thf(zip_derived_cl67, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((X0) = (zero_zero_nat)) | ~ (ord_less_eq_nat @ X0 @ zero_zero_nat))),
22.94/3.54	    inference('cnf', [status(esa)], [fact_84_le__zero__eq])).
22.94/3.54	thf(zip_derived_cl2333, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((sk__85) = (zero_zero_nat))
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        | ((sk__86) = (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl2299, zip_derived_cl67])).
22.94/3.54	thf(zip_derived_cl1250, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ X0 @ zero_zero_nat))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl415])).
22.94/3.54	thf(zip_derived_cl414, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat))
22.94/3.54	        | ((groups1842438620at_nat @ 
22.94/3.54	            (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ 
22.94/3.54	            (set_ord_atMost_nat @ zero_zero_nat)) = (zero_zero_nat)))),
22.94/3.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
22.94/3.54	thf(zip_derived_cl1271, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat)) |  (ord_less_eq_nat @ one_one_nat @ X0))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl416])).
22.94/3.54	thf(zip_derived_cl417, plain,
22.94/3.54	    ((((p @ sk__85) != (zero_zero_nat))
22.94/3.54	      | ((p @ sk__86) != (zero_zero_nat))
22.94/3.54	      | ((groups1842438620at_nat @ 
22.94/3.54	          (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ 
22.94/3.54	          (set_ord_atMost_nat @ zero_zero_nat)) != (zero_zero_nat)))),
22.94/3.54	    inference('cnf', [status(esa)], [zf_stmt_0])).
22.94/3.54	thf(zip_derived_cl1275, plain,
22.94/3.54	    ((((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	      |  (ord_less_eq_nat @ one_one_nat @ sk__85)
22.94/3.54	      | ((groups1842438620at_nat @ 
22.94/3.54	          (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ 
22.94/3.54	          (set_ord_atMost_nat @ zero_zero_nat)) != (zero_zero_nat))
22.94/3.54	      | ((p @ sk__86) != (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl1271, zip_derived_cl417])).
22.94/3.54	thf(zip_derived_cl1283, plain,
22.94/3.54	    ((((p @ sk__86) != (zero_zero_nat))
22.94/3.54	      | ((groups1842438620at_nat @ 
22.94/3.54	          (^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)) @ 
22.94/3.54	          (set_ord_atMost_nat @ zero_zero_nat)) != (zero_zero_nat))
22.94/3.54	      |  (ord_less_eq_nat @ one_one_nat @ sk__85))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl1275])).
22.94/3.54	thf(zip_derived_cl1626, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ one_one_nat @ sk__85)
22.94/3.54	        | ((p @ sk__86) != (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl414, zip_derived_cl1283])).
22.94/3.54	thf(zip_derived_cl1637, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ sk__86) != (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ one_one_nat @ sk__85)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat)))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl1626])).
22.94/3.54	thf(zip_derived_cl2970, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__86 @ zero_zero_nat)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ one_one_nat @ sk__85))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl1250, zip_derived_cl1637])).
22.94/3.54	thf(zip_derived_cl2984, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       ( (ord_less_eq_nat @ one_one_nat @ sk__85)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__86 @ zero_zero_nat))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl2970])).
22.94/3.54	thf(zip_derived_cl3053, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       ( (ord_less_eq_nat @ one_one_nat @ zero_zero_nat)
22.94/3.54	        | ((sk__86) = (zero_zero_nat))
22.94/3.54	        | ((p @ X1) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__86 @ zero_zero_nat)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat)))),
22.94/3.54	    inference('sup+', [status(thm)], [zip_derived_cl2333, zip_derived_cl2984])).
22.94/3.54	thf(fact_75_not__one__le__zero, axiom,
22.94/3.54	  (~( ord_less_eq_nat @ one_one_nat @ zero_zero_nat ))).
22.94/3.54	thf(zip_derived_cl87, plain,
22.94/3.54	    (~ (ord_less_eq_nat @ one_one_nat @ zero_zero_nat)),
22.94/3.54	    inference('cnf', [status(esa)], [fact_75_not__one__le__zero])).
22.94/3.54	thf(zip_derived_cl3067, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       (((sk__86) = (zero_zero_nat))
22.94/3.54	        | ((p @ X1) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__86 @ zero_zero_nat)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat)))),
22.94/3.54	    inference('demod', [status(thm)], [zip_derived_cl3053, zip_derived_cl87])).
22.94/3.54	thf(zip_derived_cl5055, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((sk__86) = (zero_zero_nat))
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__86 @ zero_zero_nat))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl3067])).
22.94/3.54	thf(zip_derived_cl67, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((X0) = (zero_zero_nat)) | ~ (ord_less_eq_nat @ X0 @ zero_zero_nat))),
22.94/3.54	    inference('cnf', [status(esa)], [fact_84_le__zero__eq])).
22.94/3.54	thf(zip_derived_cl5056, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat)) | ((sk__86) = (zero_zero_nat)))),
22.94/3.54	    inference('clc', [status(thm)], [zip_derived_cl5055, zip_derived_cl67])).
22.94/3.54	thf(zip_derived_cl423, plain,
22.94/3.54	    ((((p @ sk__86) != (zero_zero_nat))
22.94/3.54	      | ((p @ sk__85) != (zero_zero_nat))
22.94/3.54	      | (((^[Y0 : nat]: (zero_zero_nat)))
22.94/3.54	          != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)))))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl422])).
22.94/3.54	thf(zip_derived_cl5072, plain,
22.94/3.54	    ((((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	      | ((sk__86) = (zero_zero_nat))
22.94/3.54	      | (((^[Y0 : nat]: (zero_zero_nat)))
22.94/3.54	          != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0))))
22.94/3.54	      | ((p @ sk__85) != (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl5056, zip_derived_cl423])).
22.94/3.54	thf(zip_derived_cl5105, plain,
22.94/3.54	    ((((p @ sk__85) != (zero_zero_nat))
22.94/3.54	      | (((^[Y0 : nat]: (zero_zero_nat)))
22.94/3.54	          != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0))))
22.94/3.54	      | ((sk__86) = (zero_zero_nat)))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl5072])).
22.94/3.54	thf(zip_derived_cl5056, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat)) | ((sk__86) = (zero_zero_nat)))),
22.94/3.54	    inference('clc', [status(thm)], [zip_derived_cl5055, zip_derived_cl67])).
22.94/3.54	thf(zip_derived_cl5195, plain,
22.94/3.54	    ((((sk__86) = (zero_zero_nat))
22.94/3.54	      | (((^[Y0 : nat]: (zero_zero_nat)))
22.94/3.54	          != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)))))),
22.94/3.54	    inference('clc', [status(thm)], [zip_derived_cl5105, zip_derived_cl5056])).
22.94/3.54	thf(zip_derived_cl5198, plain,
22.94/3.54	    ((((sk__86) = (zero_zero_nat))
22.94/3.54	      | ((zero_zero_nat) != (times_times_nat @ (p @ '#sk808') @ '#sk808')))),
22.94/3.54	    inference('neg_ext', [status(thm)], [zip_derived_cl5195])).
22.94/3.54	thf(fact_143_mult_Ocommute, axiom,
22.94/3.54	  (![A4:nat,B4:nat]:
22.94/3.54	   ( ( times_times_nat @ A4 @ B4 ) = ( times_times_nat @ B4 @ A4 ) ))).
22.94/3.54	thf(zip_derived_cl72, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       ((times_times_nat @ X1 @ X0) = (times_times_nat @ X0 @ X1))),
22.94/3.54	    inference('cnf', [status(esa)], [fact_143_mult_Ocommute])).
22.94/3.54	thf(zip_derived_cl5201, plain,
22.94/3.54	    ((((sk__86) = (zero_zero_nat))
22.94/3.54	      | ((zero_zero_nat) != (times_times_nat @ '#sk808' @ (p @ '#sk808'))))),
22.94/3.54	    inference('demod', [status(thm)], [zip_derived_cl5198, zip_derived_cl72])).
22.94/3.54	thf(zip_derived_cl5478, plain,
22.94/3.54	    ((((zero_zero_nat) != (times_times_nat @ '#sk808' @ zero_zero_nat))
22.94/3.54	      |  (ord_less_eq_nat @ '#sk808' @ zero_zero_nat)
22.94/3.54	      | ((sk__86) = (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl1250, zip_derived_cl5201])).
22.94/3.54	thf(fact_14_mult__zero__right, axiom,
22.94/3.54	  (![A2:nat]:
22.94/3.54	   ( ( times_times_nat @ A2 @ zero_zero_nat ) = ( zero_zero_nat ) ))).
22.94/3.54	thf(zip_derived_cl42, plain,
22.94/3.54	    (![X0 : nat]: ((times_times_nat @ X0 @ zero_zero_nat) = (zero_zero_nat))),
22.94/3.54	    inference('cnf', [status(esa)], [fact_14_mult__zero__right])).
22.94/3.54	thf(zip_derived_cl5498, plain,
22.94/3.54	    ((((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	      |  (ord_less_eq_nat @ '#sk808' @ zero_zero_nat)
22.94/3.54	      | ((sk__86) = (zero_zero_nat)))),
22.94/3.54	    inference('demod', [status(thm)], [zip_derived_cl5478, zip_derived_cl42])).
22.94/3.54	thf(zip_derived_cl5499, plain,
22.94/3.54	    ((((sk__86) = (zero_zero_nat))
22.94/3.54	      |  (ord_less_eq_nat @ '#sk808' @ zero_zero_nat))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl5498])).
22.94/3.54	thf(fact_67_mult__nonpos__nonneg, axiom,
22.94/3.54	  (![A2:nat,B:nat]:
22.94/3.54	   ( ( ord_less_eq_nat @ A2 @ zero_zero_nat ) =>
22.94/3.54	     ( ( ord_less_eq_nat @ zero_zero_nat @ B ) =>
22.94/3.54	       ( ord_less_eq_nat @ ( times_times_nat @ A2 @ B ) @ zero_zero_nat ) ) ))).
22.94/3.54	thf(zip_derived_cl14, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       (~ (ord_less_eq_nat @ X0 @ zero_zero_nat)
22.94/3.54	        |  (ord_less_eq_nat @ (times_times_nat @ X0 @ X1) @ zero_zero_nat)
22.94/3.54	        | ~ (ord_less_eq_nat @ zero_zero_nat @ X1))),
22.94/3.54	    inference('cnf', [status(esa)], [fact_67_mult__nonpos__nonneg])).
22.94/3.54	thf(fact_16_bot__nat__0_Oextremum, axiom,
22.94/3.54	  (![A2:nat]: ( ord_less_eq_nat @ zero_zero_nat @ A2 ))).
22.94/3.54	thf(zip_derived_cl244, plain,
22.94/3.54	    (![X0 : nat]:  (ord_less_eq_nat @ zero_zero_nat @ X0)),
22.94/3.54	    inference('cnf', [status(esa)], [fact_16_bot__nat__0_Oextremum])).
22.94/3.54	thf(zip_derived_cl1297, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       (~ (ord_less_eq_nat @ X0 @ zero_zero_nat)
22.94/3.54	        |  (ord_less_eq_nat @ (times_times_nat @ X0 @ X1) @ zero_zero_nat))),
22.94/3.54	    inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl244])).
22.94/3.54	thf(zip_derived_cl67, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((X0) = (zero_zero_nat)) | ~ (ord_less_eq_nat @ X0 @ zero_zero_nat))),
22.94/3.54	    inference('cnf', [status(esa)], [fact_84_le__zero__eq])).
22.94/3.54	thf(zip_derived_cl1300, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       (~ (ord_less_eq_nat @ X1 @ zero_zero_nat)
22.94/3.54	        | ((times_times_nat @ X1 @ X0) = (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl1297, zip_derived_cl67])).
22.94/3.54	thf(zip_derived_cl5201, plain,
22.94/3.54	    ((((sk__86) = (zero_zero_nat))
22.94/3.54	      | ((zero_zero_nat) != (times_times_nat @ '#sk808' @ (p @ '#sk808'))))),
22.94/3.54	    inference('demod', [status(thm)], [zip_derived_cl5198, zip_derived_cl72])).
22.94/3.54	thf(zip_derived_cl5484, plain,
22.94/3.54	    ((((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	      | ~ (ord_less_eq_nat @ '#sk808' @ zero_zero_nat)
22.94/3.54	      | ((sk__86) = (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl1300, zip_derived_cl5201])).
22.94/3.54	thf(zip_derived_cl5501, plain,
22.94/3.54	    ((((sk__86) = (zero_zero_nat))
22.94/3.54	      | ~ (ord_less_eq_nat @ '#sk808' @ zero_zero_nat))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl5484])).
22.94/3.54	thf(zip_derived_cl5572, plain, (((sk__86) = (zero_zero_nat))),
22.94/3.54	    inference('clc', [status(thm)], [zip_derived_cl5499, zip_derived_cl5501])).
22.94/3.54	thf(zip_derived_cl87, plain,
22.94/3.54	    (~ (ord_less_eq_nat @ one_one_nat @ zero_zero_nat)),
22.94/3.54	    inference('cnf', [status(esa)], [fact_75_not__one__le__zero])).
22.94/3.54	thf(zip_derived_cl5581, plain,
22.94/3.54	    ((((p @ sk__85) != (zero_zero_nat))
22.94/3.54	      | (((^[Y0 : nat]: (zero_zero_nat)))
22.94/3.54	          != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)))))),
22.94/3.54	    inference('demod', [status(thm)],
22.94/3.54	              [zip_derived_cl1280, zip_derived_cl5572, zip_derived_cl87])).
22.94/3.54	thf(zip_derived_cl5056, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat)) | ((sk__86) = (zero_zero_nat)))),
22.94/3.54	    inference('clc', [status(thm)], [zip_derived_cl5055, zip_derived_cl67])).
22.94/3.54	thf(zip_derived_cl1271, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat)) |  (ord_less_eq_nat @ one_one_nat @ X0))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl416])).
22.94/3.54	thf(zip_derived_cl1566, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ sk__86) != (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__85 @ zero_zero_nat)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat)))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl1561])).
22.94/3.54	thf(zip_derived_cl2256, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ one_one_nat @ sk__86)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__85 @ zero_zero_nat))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl1271, zip_derived_cl1566])).
22.94/3.54	thf(zip_derived_cl2260, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       ( (ord_less_eq_nat @ sk__85 @ zero_zero_nat)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ one_one_nat @ sk__86))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl2256])).
22.94/3.54	thf(zip_derived_cl5058, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       ( (ord_less_eq_nat @ one_one_nat @ zero_zero_nat)
22.94/3.54	        | ((p @ X1) = (zero_zero_nat))
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__85 @ zero_zero_nat))),
22.94/3.54	    inference('sup+', [status(thm)], [zip_derived_cl5056, zip_derived_cl2260])).
22.94/3.54	thf(zip_derived_cl87, plain,
22.94/3.54	    (~ (ord_less_eq_nat @ one_one_nat @ zero_zero_nat)),
22.94/3.54	    inference('cnf', [status(esa)], [fact_75_not__one__le__zero])).
22.94/3.54	thf(zip_derived_cl5094, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       (((p @ X1) = (zero_zero_nat))
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ sk__85 @ zero_zero_nat))),
22.94/3.54	    inference('demod', [status(thm)], [zip_derived_cl5058, zip_derived_cl87])).
22.94/3.54	thf(zip_derived_cl5387, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       ( (ord_less_eq_nat @ sk__85 @ zero_zero_nat)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat)))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl5094])).
22.94/3.54	thf(zip_derived_cl67, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((X0) = (zero_zero_nat)) | ~ (ord_less_eq_nat @ X0 @ zero_zero_nat))),
22.94/3.54	    inference('cnf', [status(esa)], [fact_84_le__zero__eq])).
22.94/3.54	thf(zip_derived_cl5404, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat)) | ((sk__85) = (zero_zero_nat)))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl5387, zip_derived_cl67])).
22.94/3.54	thf(zip_derived_cl1271, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ X0) = (zero_zero_nat)) |  (ord_less_eq_nat @ one_one_nat @ X0))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl416])).
22.94/3.54	thf(zip_derived_cl1637, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((p @ sk__86) != (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ one_one_nat @ sk__85)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat)))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl1626])).
22.94/3.54	thf(zip_derived_cl2969, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       (((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ one_one_nat @ sk__86)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ one_one_nat @ sk__85))),
22.94/3.54	    inference('sup-', [status(thm)], [zip_derived_cl1271, zip_derived_cl1637])).
22.94/3.54	thf(zip_derived_cl2983, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       ( (ord_less_eq_nat @ one_one_nat @ sk__85)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat))
22.94/3.54	        |  (ord_less_eq_nat @ one_one_nat @ sk__86))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl2969])).
22.94/3.54	thf(zip_derived_cl5572, plain, (((sk__86) = (zero_zero_nat))),
22.94/3.54	    inference('clc', [status(thm)], [zip_derived_cl5499, zip_derived_cl5501])).
22.94/3.54	thf(zip_derived_cl87, plain,
22.94/3.54	    (~ (ord_less_eq_nat @ one_one_nat @ zero_zero_nat)),
22.94/3.54	    inference('cnf', [status(esa)], [fact_75_not__one__le__zero])).
22.94/3.54	thf(zip_derived_cl5592, plain,
22.94/3.54	    (![X0 : nat]:
22.94/3.54	       ( (ord_less_eq_nat @ one_one_nat @ sk__85)
22.94/3.54	        | ((p @ X0) = (zero_zero_nat)))),
22.94/3.54	    inference('demod', [status(thm)],
22.94/3.54	              [zip_derived_cl2983, zip_derived_cl5572, zip_derived_cl87])).
22.94/3.54	thf(zip_derived_cl5835, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       ( (ord_less_eq_nat @ one_one_nat @ zero_zero_nat)
22.94/3.54	        | ((p @ X1) = (zero_zero_nat))
22.94/3.54	        | ((p @ X0) = (zero_zero_nat)))),
22.94/3.54	    inference('sup+', [status(thm)], [zip_derived_cl5404, zip_derived_cl5592])).
22.94/3.54	thf(zip_derived_cl87, plain,
22.94/3.54	    (~ (ord_less_eq_nat @ one_one_nat @ zero_zero_nat)),
22.94/3.54	    inference('cnf', [status(esa)], [fact_75_not__one__le__zero])).
22.94/3.54	thf(zip_derived_cl5840, plain,
22.94/3.54	    (![X0 : nat, X1 : nat]:
22.94/3.54	       (((p @ X1) = (zero_zero_nat)) | ((p @ X0) = (zero_zero_nat)))),
22.94/3.54	    inference('demod', [status(thm)], [zip_derived_cl5835, zip_derived_cl87])).
22.94/3.54	thf(zip_derived_cl5847, plain, (![X0 : nat]: ((p @ X0) = (zero_zero_nat))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl5840])).
22.94/3.54	thf(zip_derived_cl5848, plain,
22.94/3.54	    ((((zero_zero_nat) != (zero_zero_nat))
22.94/3.54	      | (((^[Y0 : nat]: (zero_zero_nat)))
22.94/3.54	          != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0)))))),
22.94/3.54	    inference('demod', [status(thm)],
22.94/3.54	              [zip_derived_cl5581, zip_derived_cl5847])).
22.94/3.54	thf(zip_derived_cl5849, plain,
22.94/3.54	    ((((^[Y0 : nat]: (zero_zero_nat)))
22.94/3.54	       != ((^[Y0 : nat]: (times_times_nat @ (p @ Y0) @ Y0))))),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl5848])).
22.94/3.54	thf(zip_derived_cl5884, plain,
22.94/3.54	    (((zero_zero_nat) != (times_times_nat @ (p @ '#sk808') @ '#sk808'))),
22.94/3.54	    inference('neg_ext', [status(thm)], [zip_derived_cl5849])).
22.94/3.54	thf(zip_derived_cl5847, plain, (![X0 : nat]: ((p @ X0) = (zero_zero_nat))),
22.94/3.54	    inference('condensation', [status(thm)], [zip_derived_cl5840])).
22.94/3.54	thf(fact_49_mult__0, axiom,
22.94/3.54	  (![N:nat]: ( ( times_times_nat @ zero_zero_nat @ N ) = ( zero_zero_nat ) ))).
22.94/3.54	thf(zip_derived_cl40, plain,
22.94/3.54	    (![X0 : nat]: ((times_times_nat @ zero_zero_nat @ X0) = (zero_zero_nat))),
22.94/3.54	    inference('cnf', [status(esa)], [fact_49_mult__0])).
22.94/3.54	thf(zip_derived_cl5885, plain, (((zero_zero_nat) != (zero_zero_nat))),
22.94/3.54	    inference('demod', [status(thm)],
22.94/3.54	              [zip_derived_cl5884, zip_derived_cl5847, zip_derived_cl40])).
22.94/3.54	thf(zip_derived_cl5886, plain, ($false),
22.94/3.54	    inference('simplify', [status(thm)], [zip_derived_cl5885])).
22.94/3.54	
22.94/3.54	% SZS output end Refutation
22.94/3.54	
22.94/3.54	
22.94/3.54	% Terminating...
23.45/3.58	% Runner terminated.
23.45/3.59	% Zipperpin 1.5 exiting
23.45/3.60	EOF