0.02/0.09	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.10	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.VCsNUN9B83 true
0.09/0.29	% Computer : n008.cluster.edu
0.09/0.29	% Model    : x86_64 x86_64
0.09/0.29	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.29	% Memory   : 8042.1875MB
0.09/0.29	% OS       : Linux 3.10.0-693.el7.x86_64
0.09/0.29	% CPULimit : 960
0.09/0.29	% WCLimit  : 120
0.09/0.29	% DateTime : Tue Aug  9 04:11:53 EDT 2022
0.09/0.29	% CPUTime  : 
0.09/0.29	% Running portfolio for 960 s
0.09/0.29	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.09/0.29	% Number of cores: 8
0.09/0.30	% Python version: Python 3.6.8
0.09/0.30	% Running in HO mode
0.68/0.57	% Total configuration time : 828
0.68/0.57	% Estimated wc time : 1656
0.68/0.57	% Estimated cpu time (8 cpus) : 207.0
1.14/0.63	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
1.14/0.63	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
1.22/0.64	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
1.22/0.64	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
1.22/0.64	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
1.22/0.64	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
1.22/0.65	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
1.22/0.66	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
237.13/30.47	% /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
318.10/40.71	% /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
476.08/60.70	% /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
555.84/70.69	% /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
575.69/73.26	% /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
632.71/80.42	% /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
633.89/80.67	% /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s
633.89/80.67	% /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s
710.90/90.47	% /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s
710.90/90.49	% /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s
758.51/96.46	% /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s
759.02/96.55	% /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 36s
790.83/100.55	% Solved by lams/10_e_short2.sh.
790.83/100.55	% done 626 iterations in 10.042s
790.83/100.55	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
790.83/100.55	% SZS output start Refutation
790.83/100.55	thf(c0_type, type, c0: $i).
790.83/100.55	thf(cNUMBER_type, type, cNUMBER: $i > $o).
790.83/100.55	thf(cEVEN_type, type, cEVEN: $i > $o).
790.83/100.55	thf('#sk23_type', type, '#sk23': ($i > $o) > ($i > $o) > $i).
790.83/100.55	thf(cS_type, type, cS: $i > $i).
790.83/100.55	thf(cODD_type, type, cODD: $i > $o).
790.83/100.55	thf('#sk1_type', type, '#sk1': $i).
790.83/100.55	thf(cEVEN_ODD_4, conjecture,
790.83/100.55	  (( ( cEVEN @ c0 ) & 
790.83/100.55	     ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) & 
790.83/100.55	     ( ![Xn:$i]: ( ( cNUMBER @ Xn ) <=> ( ( cODD @ Xn ) | ( cEVEN @ Xn ) ) ) ) & 
790.83/100.55	     ( ![P:( $i > $o ),Q:( $i > $o )]:
790.83/100.55	       ( ( ( P @ c0 ) & ( Q @ c0 ) & 
790.83/100.55	           ( ![Xx:$i]:
790.83/100.55	             ( ( ( P @ Xx ) & ( Q @ Xx ) ) =>
790.83/100.55	               ( ( Q @ ( cS @ Xx ) ) & ( P @ ( cS @ Xx ) ) ) ) ) ) =>
790.83/100.55	         ( ![Xx:$i]: ( ( Q @ Xx ) & ( P @ Xx ) ) ) ) ) & 
790.83/100.55	     ( cODD @ ( cS @ c0 ) ) & 
790.83/100.55	     ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) ) =>
790.83/100.55	   ( ![Xn:$i]: ( cNUMBER @ Xn ) ))).
790.83/100.55	thf(zf_stmt_0, negated_conjecture,
790.83/100.55	  (~( ( ( cEVEN @ c0 ) & 
790.83/100.55	        ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) & 
790.83/100.55	        ( ![Xn:$i]:
790.83/100.55	          ( ( cNUMBER @ Xn ) <=> ( ( cODD @ Xn ) | ( cEVEN @ Xn ) ) ) ) & 
790.83/100.55	        ( ![P:( $i > $o ),Q:( $i > $o )]:
790.83/100.55	          ( ( ( P @ c0 ) & ( Q @ c0 ) & 
790.83/100.55	              ( ![Xx:$i]:
790.83/100.55	                ( ( ( P @ Xx ) & ( Q @ Xx ) ) =>
790.83/100.55	                  ( ( Q @ ( cS @ Xx ) ) & ( P @ ( cS @ Xx ) ) ) ) ) ) =>
790.83/100.55	            ( ![Xx:$i]: ( ( Q @ Xx ) & ( P @ Xx ) ) ) ) ) & 
790.83/100.55	        ( cODD @ ( cS @ c0 ) ) & 
790.83/100.55	        ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) ) =>
790.83/100.55	      ( ![Xn:$i]: ( cNUMBER @ Xn ) ) )),
790.83/100.55	  inference('cnf.neg', [status(esa)], [cEVEN_ODD_4])).
790.83/100.55	thf(zip_derived_cl0, plain,
790.83/100.55	    (~ (((((cEVEN @ c0) & 
790.83/100.55	           (((!!) @ (^[Y0 : $i]: (((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0)))))))) & 
790.83/100.55	           (((!!) @ (^[Y0 : $i]:
790.83/100.55	                       (((cNUMBER @ Y0) <=> (((cODD @ Y0) | (cEVEN @ Y0)))))))) & 
790.83/100.55	           (((!!) @ (^[Y0 : $i > $o]:
790.83/100.55	                       (((!!) @ (^[Y1 : $i > $o]:
790.83/100.55	                                   (((((Y0 @ c0) & (Y1 @ c0) & 
790.83/100.55	                                       (((!!) @ (^[Y2 : $i]:
790.83/100.55	                                                   (((((Y0 @ Y2) & (Y1 @ Y2))) =>
790.83/100.55	                                                     (((Y1 @ (cS @ Y2)) &
790.83/100.55	                                                       (Y0 @ (cS @ Y2))))))))))) =>
790.83/100.55	                                     (((!!) @ (^[Y2 : $i]:
790.83/100.55	                                                 (((Y1 @ Y2) & (Y0 @ Y2)))))))))))))) & 
790.83/100.55	           (cODD @ (cS @ c0)) & 
790.83/100.55	           (((!!) @ (^[Y0 : $i]:
790.83/100.55	                       (((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))))))) =>
790.83/100.55	         (((!!) @ (^[Y0 : $i]: (cNUMBER @ Y0))))))),
790.83/100.55	    inference('cnf', [status(esa)], [zf_stmt_0])).
790.83/100.55	thf(zip_derived_cl2, plain, (~ (((!!) @ (^[Y0 : $i]: (cNUMBER @ Y0))))),
790.83/100.55	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
790.83/100.55	thf(zip_derived_cl9, plain, (~ (cNUMBER @ '#sk1')),
790.83/100.55	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
790.83/100.55	thf(zip_derived_cl1, plain,
790.83/100.55	    ( (((cEVEN @ c0) & 
790.83/100.55	        (((!!) @ (^[Y0 : $i]: (((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0)))))))) & 
790.83/100.55	        (((!!) @ (^[Y0 : $i]:
790.83/100.55	                    (((cNUMBER @ Y0) <=> (((cODD @ Y0) | (cEVEN @ Y0)))))))) & 
790.83/100.55	        (((!!) @ (^[Y0 : $i > $o]:
790.83/100.55	                    (((!!) @ (^[Y1 : $i > $o]:
790.83/100.55	                                (((((Y0 @ c0) & (Y1 @ c0) & 
790.83/100.55	                                    (((!!) @ (^[Y2 : $i]:
790.83/100.55	                                                (((((Y0 @ Y2) & (Y1 @ Y2))) =>
790.83/100.55	                                                  (((Y1 @ (cS @ Y2)) & (Y0 @ 
790.83/100.55	                                                    (cS @ Y2))))))))))) =>
790.83/100.55	                                  (((!!) @ (^[Y2 : $i]:
790.83/100.55	                                              (((Y1 @ Y2) & (Y0 @ Y2)))))))))))))) & 
790.83/100.55	        (cODD @ (cS @ c0)) & 
790.83/100.55	        (((!!) @ (^[Y0 : $i]: (((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0))))))))))),
790.83/100.55	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
790.83/100.55	thf(zip_derived_cl7, plain, ( (cODD @ (cS @ c0))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
790.83/100.55	thf(zip_derived_cl5, plain,
790.83/100.55	    ( (((!!) @ (^[Y0 : $i]:
790.83/100.55	                  (((cNUMBER @ Y0) <=> (((cODD @ Y0) | (cEVEN @ Y0))))))))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
790.83/100.55	thf(zip_derived_cl11, plain,
790.83/100.55	    (![X2 : $i]:  (((cNUMBER @ X2) <=> (((cODD @ X2) | (cEVEN @ X2)))))),
790.83/100.55	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
790.83/100.55	thf(zip_derived_cl15, plain,
790.83/100.55	    (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))),
790.83/100.55	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])).
790.83/100.55	thf(zip_derived_cl117, plain,
790.83/100.55	    (![X2 : $i]: ( (cNUMBER @ X2) | ~ (((cODD @ X2) | (cEVEN @ X2))))),
790.83/100.55	    inference('eq_elim', [status(thm)], [zip_derived_cl15])).
790.83/100.55	thf(zip_derived_cl787, plain,
790.83/100.55	    (![X2 : $i]: (~ (cODD @ X2) |  (cNUMBER @ X2))),
790.83/100.55	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl117])).
790.83/100.55	thf(zip_derived_cl3, plain, ( (cEVEN @ c0)),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
790.83/100.55	thf(zip_derived_cl15, plain,
790.83/100.55	    (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))),
790.83/100.55	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])).
790.83/100.55	thf(zip_derived_cl115, plain, (((cNUMBER @ c0) = (((cODD @ c0) | ($true))))),
790.83/100.55	    inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl15])).
790.83/100.55	thf(zip_derived_cl125, plain, ( (cNUMBER @ c0)),
790.83/100.55	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl115])).
790.83/100.55	thf(zip_derived_cl6, plain,
790.83/100.55	    ( (((!!) @ (^[Y0 : $i > $o]:
790.83/100.55	                  (((!!) @ (^[Y1 : $i > $o]:
790.83/100.55	                              (((((Y0 @ c0) & (Y1 @ c0) & 
790.83/100.55	                                  (((!!) @ (^[Y2 : $i]:
790.83/100.55	                                              (((((Y0 @ Y2) & (Y1 @ Y2))) =>
790.83/100.55	                                                (((Y1 @ (cS @ Y2)) & (Y0 @ 
790.83/100.55	                                                  (cS @ Y2))))))))))) =>
790.83/100.55	                                (((!!) @ (^[Y2 : $i]:
790.83/100.55	                                            (((Y1 @ Y2) & (Y0 @ Y2))))))))))))))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
790.83/100.55	thf(zip_derived_cl12, plain,
790.83/100.55	    (![X2 : $i > $o]:
790.83/100.55	        (((!!) @ (^[Y0 : $i > $o]:
790.83/100.55	                    (((((X2 @ c0) & (Y0 @ c0) & 
790.83/100.55	                        (((!!) @ (^[Y1 : $i]:
790.83/100.55	                                    (((((X2 @ Y1) & (Y0 @ Y1))) =>
790.83/100.55	                                      (((Y0 @ (cS @ Y1)) & (X2 @ (cS @ Y1))))))))))) =>
790.83/100.55	                      (((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) & (X2 @ Y1)))))))))))),
790.83/100.55	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])).
790.83/100.55	thf(zip_derived_cl16, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o]:
790.83/100.55	        (((((X2 @ c0) & (X4 @ c0) & 
790.83/100.55	            (((!!) @ (^[Y0 : $i]:
790.83/100.55	                        (((((X2 @ Y0) & (X4 @ Y0))) =>
790.83/100.55	                          (((X4 @ (cS @ Y0)) & (X2 @ (cS @ Y0))))))))))) =>
790.83/100.55	          (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0))))))))),
790.83/100.55	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl12])).
790.83/100.55	thf(zip_derived_cl18, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o]:
790.83/100.55	       (~ (((X2 @ c0) & (X4 @ c0) & 
790.83/100.55	            (((!!) @ (^[Y0 : $i]:
790.83/100.55	                        (((((X2 @ Y0) & (X4 @ Y0))) =>
790.83/100.55	                          (((X4 @ (cS @ Y0)) & (X2 @ (cS @ Y0)))))))))))
790.83/100.55	        |  (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))))),
790.83/100.55	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])).
790.83/100.55	thf(zip_derived_cl19, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o]:
790.83/100.55	       (~ (X2 @ c0)
790.83/100.55	        | ~ (X4 @ c0)
790.83/100.55	        | ~ (((!!) @ (^[Y0 : $i]:
790.83/100.55	                        (((((X2 @ Y0) & (X4 @ Y0))) =>
790.83/100.55	                          (((X4 @ (cS @ Y0)) & (X2 @ (cS @ Y0)))))))))
790.83/100.55	        |  (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])).
790.83/100.55	thf(zip_derived_cl20, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o]:
790.83/100.55	       (~ (((((X2 @ ('#sk23' @ X2 @ X4)) & (X4 @ ('#sk23' @ X2 @ X4)))) =>
790.83/100.55	            (((X4 @ (cS @ ('#sk23' @ X2 @ X4))) & (X2 @ 
790.83/100.55	              (cS @ ('#sk23' @ X2 @ X4)))))))
790.83/100.55	        |  (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0))))))
790.83/100.55	        | ~ (X4 @ c0)
790.83/100.55	        | ~ (X2 @ c0))),
790.83/100.55	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])).
790.83/100.55	thf(zip_derived_cl21, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o]:
790.83/100.55	       ( (((X2 @ ('#sk23' @ X2 @ X4)) & (X4 @ ('#sk23' @ X2 @ X4))))
790.83/100.55	        | ~ (X2 @ c0)
790.83/100.55	        | ~ (X4 @ c0)
790.83/100.55	        |  (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))))),
790.83/100.55	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])).
790.83/100.55	thf(zip_derived_cl23, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o]:
790.83/100.55	       ( (X2 @ ('#sk23' @ X2 @ X4))
790.83/100.55	        |  (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0))))))
790.83/100.55	        | ~ (X4 @ c0)
790.83/100.55	        | ~ (X2 @ c0))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
790.83/100.55	thf(zip_derived_cl26, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
790.83/100.55	       ( (((X4 @ X6) & (X2 @ X6)))
790.83/100.55	        | ~ (X2 @ c0)
790.83/100.55	        | ~ (X4 @ c0)
790.83/100.55	        |  (X2 @ ('#sk23' @ X2 @ X4)))),
790.83/100.55	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])).
790.83/100.55	thf(zip_derived_cl30, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
790.83/100.55	       ( (X2 @ X6) |  (X2 @ ('#sk23' @ X2 @ X4)) | ~ (X4 @ c0) | ~ (X2 @ c0))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])).
790.83/100.55	thf(zip_derived_cl35, plain,
790.83/100.55	    (![X0 : $i > $o, X1 : $i > $o]:
790.83/100.55	       (~ (X0 @ c0) |  (X0 @ ('#sk23' @ X0 @ X1)) | ~ (X1 @ c0))),
790.83/100.55	    inference('condensation', [status(thm)], [zip_derived_cl30])).
790.83/100.55	thf(zip_derived_cl205, plain,
790.83/100.55	    (![X0 : $i > $o]:
790.83/100.55	       (~ (X0 @ c0)
790.83/100.55	        |  ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ 
790.83/100.55	            ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ 
790.83/100.55	             X0)))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl35])).
790.83/100.55	thf(zip_derived_cl232, plain,
790.83/100.55	    (![X0 : $i > $o]: (~ (X0 @ c0) |  (cNUMBER @ ('#sk23' @ cNUMBER @ X0)))),
790.83/100.55	    inference('ho_norm', [status(thm)], [zip_derived_cl205])).
790.83/100.55	thf(zip_derived_cl1297, plain,
790.83/100.55	    (![X0 : $i > $i]:
790.83/100.55	       (~ (cODD @ (X0 @ c0))
790.83/100.55	        |  (cNUMBER @ 
790.83/100.55	            ('#sk23' @ cNUMBER @ 
790.83/100.55	             (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))))))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl787, zip_derived_cl232])).
790.83/100.55	thf(zip_derived_cl1308, plain,
790.83/100.55	    (![X0 : $i > $i]:
790.83/100.55	       (~ (cODD @ (X0 @ c0))
790.83/100.55	        |  (cNUMBER @ 
790.83/100.55	            ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))))))),
790.83/100.55	    inference('ho_norm', [status(thm)], [zip_derived_cl1297])).
790.83/100.55	thf(zip_derived_cl1483, plain,
790.83/100.55	    ( (cNUMBER @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0)))))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1308])).
790.83/100.55	thf(zip_derived_cl15, plain,
790.83/100.55	    (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))),
790.83/100.55	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])).
790.83/100.55	thf(zip_derived_cl118, plain,
790.83/100.55	    (![X2 : $i]: (~ (cNUMBER @ X2) |  (((cODD @ X2) | (cEVEN @ X2))))),
790.83/100.55	    inference('eq_elim', [status(thm)], [zip_derived_cl15])).
790.83/100.55	thf(zip_derived_cl930, plain,
790.83/100.55	    (![X2 : $i]: ( (cODD @ X2) |  (cEVEN @ X2) | ~ (cNUMBER @ X2))),
790.83/100.55	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl118])).
790.83/100.55	thf(zip_derived_cl2038, plain,
790.83/100.55	    (( (cEVEN @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0)))))
790.83/100.55	      |  (cODD @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))))))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl1483, zip_derived_cl930])).
790.83/100.55	thf(zip_derived_cl8, plain,
790.83/100.55	    ( (((!!) @ (^[Y0 : $i]: (((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0))))))))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
790.83/100.55	thf(zip_derived_cl13, plain,
790.83/100.55	    (![X2 : $i]:  (((cEVEN @ X2) => (cEVEN @ (cS @ (cS @ X2)))))),
790.83/100.55	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])).
790.83/100.55	thf(zip_derived_cl17, plain,
790.83/100.55	    (![X2 : $i]: (~ (cEVEN @ X2) |  (cEVEN @ (cS @ (cS @ X2))))),
790.83/100.55	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])).
790.83/100.55	thf(zip_derived_cl15, plain,
790.83/100.55	    (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))),
790.83/100.55	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])).
790.83/100.55	thf(zip_derived_cl116, plain,
790.83/100.55	    (![X0 : $i]:
790.83/100.55	       (((cNUMBER @ (cS @ (cS @ X0)))
790.83/100.55	          = (((cODD @ (cS @ (cS @ X0))) | ($true))))
790.83/100.55	        | ~ (cEVEN @ X0))),
790.83/100.55	    inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl15])).
790.83/100.55	thf(zip_derived_cl126, plain,
790.83/100.55	    (![X0 : $i]: ( (cNUMBER @ (cS @ (cS @ X0))) | ~ (cEVEN @ X0))),
790.83/100.55	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl116])).
790.83/100.55	thf(zip_derived_cl125, plain, ( (cNUMBER @ c0)),
790.83/100.55	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl115])).
790.83/100.55	thf(zip_derived_cl787, plain,
790.83/100.55	    (![X2 : $i]: (~ (cODD @ X2) |  (cNUMBER @ X2))),
790.83/100.55	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl117])).
790.83/100.55	thf(zip_derived_cl22, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o]:
790.83/100.55	       (~ (((X4 @ (cS @ ('#sk23' @ X2 @ X4))) & (X2 @ 
790.83/100.55	            (cS @ ('#sk23' @ X2 @ X4)))))
790.83/100.55	        | ~ (X2 @ c0)
790.83/100.55	        | ~ (X4 @ c0)
790.83/100.55	        |  (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0)))))))),
790.83/100.55	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])).
790.83/100.55	thf(zip_derived_cl25, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o]:
790.83/100.55	       (~ (X4 @ (cS @ ('#sk23' @ X2 @ X4)))
790.83/100.55	        | ~ (X2 @ (cS @ ('#sk23' @ X2 @ X4)))
790.83/100.55	        |  (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0))))))
790.83/100.55	        | ~ (X4 @ c0)
790.83/100.55	        | ~ (X2 @ c0))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl22])).
790.83/100.55	thf(zip_derived_cl28, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
790.83/100.55	       ( (((X4 @ X6) & (X2 @ X6)))
790.83/100.55	        | ~ (X2 @ c0)
790.83/100.55	        | ~ (X4 @ c0)
790.83/100.55	        | ~ (X2 @ (cS @ ('#sk23' @ X2 @ X4)))
790.83/100.55	        | ~ (X4 @ (cS @ ('#sk23' @ X2 @ X4))))),
790.83/100.55	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])).
790.83/100.55	thf(zip_derived_cl34, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
790.83/100.55	       ( (X2 @ X6)
790.83/100.55	        | ~ (X4 @ (cS @ ('#sk23' @ X2 @ X4)))
790.83/100.55	        | ~ (X2 @ (cS @ ('#sk23' @ X2 @ X4)))
790.83/100.55	        | ~ (X4 @ c0)
790.83/100.55	        | ~ (X2 @ c0))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])).
790.83/100.55	thf(zip_derived_cl806, plain,
790.83/100.55	    (![X0 : $i > $i, X1 : $i > $o, X2 : $i]:
790.83/100.55	       (~ (cODD @ (X0 @ c0))
790.83/100.55	        | ~ (X1 @ c0)
790.83/100.55	        | ~ (X1 @ 
790.83/100.55	             (cS @ 
790.83/100.55	              ('#sk23' @ X1 @ 
790.83/100.55	               (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))))))
790.83/100.55	        | ~ ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))) @ 
790.83/100.55	             (cS @ 
790.83/100.55	              ('#sk23' @ X1 @ 
790.83/100.55	               (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))))))
790.83/100.55	        |  (X1 @ X2))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl787, zip_derived_cl34])).
790.83/100.55	thf(zip_derived_cl822, plain,
790.83/100.55	    (![X0 : $i > $i, X1 : $i > $o, X2 : $i]:
790.83/100.55	       (~ (cODD @ (X0 @ c0))
790.83/100.55	        | ~ (X1 @ c0)
790.83/100.55	        | ~ (X1 @ (cS @ ('#sk23' @ X1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))))))
790.83/100.55	        | ~ (cNUMBER @ 
790.83/100.55	             (X0 @ 
790.83/100.55	              (cS @ ('#sk23' @ X1 @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0)))))))
790.83/100.55	        |  (X1 @ X2))),
790.83/100.55	    inference('ho_norm', [status(thm)], [zip_derived_cl806])).
790.83/100.55	thf(zip_derived_cl1123, plain,
790.83/100.55	    (![X0 : $i, X1 : $i > $i]:
790.83/100.55	       ( ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X0)
790.83/100.55	        | ~ (cNUMBER @ 
790.83/100.55	             (X1 @ 
790.83/100.55	              (cS @ 
790.83/100.55	               ('#sk23' @ 
790.83/100.55	                (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ 
790.83/100.55	                (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0)))))))
790.83/100.55	        | ~ ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ 
790.83/100.55	             (cS @ 
790.83/100.55	              ('#sk23' @ 
790.83/100.55	               (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ 
790.83/100.55	               (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0))))))
790.83/100.55	        | ~ (cODD @ (X1 @ c0)))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl822])).
790.83/100.55	thf(zip_derived_cl1144, plain,
790.83/100.55	    (![X0 : $i, X1 : $i > $i]:
790.83/100.55	       ( (cNUMBER @ X0)
790.83/100.55	        | ~ (cNUMBER @ 
790.83/100.55	             (X1 @ 
790.83/100.55	              (cS @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0)))))))
790.83/100.55	        | ~ (cNUMBER @ 
790.83/100.55	             (cS @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0))))))
790.83/100.55	        | ~ (cODD @ (X1 @ c0)))),
790.83/100.55	    inference('ho_norm', [status(thm)], [zip_derived_cl1123])).
790.83/100.55	thf(zip_derived_cl2982, plain,
790.83/100.55	    (![X0 : $i]:
790.83/100.55	       (~ (cEVEN @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0)))))
790.83/100.55	        | ~ (cODD @ ((^[Y0 : $i]: (cS @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ c0))
790.83/100.55	        | ~ (cNUMBER @ 
790.83/100.55	             (cS @ 
790.83/100.55	              ('#sk23' @ cNUMBER @ 
790.83/100.55	               (^[Y0 : $i]:
790.83/100.55	                  (cNUMBER @ 
790.83/100.55	                   ((^[Y1 : $i]: (cS @ ((^[Y2 : $i]: (Y2)) @ Y1))) @ Y0))))))
790.83/100.55	        |  (cNUMBER @ X0))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl1144])).
790.83/100.55	thf(zip_derived_cl3004, plain,
790.83/100.55	    (![X0 : $i]:
790.83/100.55	       (~ (cEVEN @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0)))))
790.83/100.55	        | ~ (cODD @ (cS @ c0))
790.83/100.55	        | ~ (cNUMBER @ 
790.83/100.55	             (cS @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))))))
790.83/100.55	        |  (cNUMBER @ X0))),
790.83/100.55	    inference('ho_norm', [status(thm)], [zip_derived_cl2982])).
790.83/100.55	thf(zip_derived_cl7, plain, ( (cODD @ (cS @ c0))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
790.83/100.55	thf(zip_derived_cl7, plain, ( (cODD @ (cS @ c0))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
790.83/100.55	thf(zip_derived_cl787, plain,
790.83/100.55	    (![X2 : $i]: (~ (cODD @ X2) |  (cNUMBER @ X2))),
790.83/100.55	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl117])).
790.83/100.55	thf(zip_derived_cl125, plain, ( (cNUMBER @ c0)),
790.83/100.55	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl115])).
790.83/100.55	thf(zip_derived_cl24, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o]:
790.83/100.55	       ( (X4 @ ('#sk23' @ X2 @ X4))
790.83/100.55	        |  (((!!) @ (^[Y0 : $i]: (((X4 @ Y0) & (X2 @ Y0))))))
790.83/100.55	        | ~ (X4 @ c0)
790.83/100.55	        | ~ (X2 @ c0))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
790.83/100.55	thf(zip_derived_cl27, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
790.83/100.55	       ( (((X4 @ X6) & (X2 @ X6)))
790.83/100.55	        | ~ (X2 @ c0)
790.83/100.55	        | ~ (X4 @ c0)
790.83/100.55	        |  (X4 @ ('#sk23' @ X2 @ X4)))),
790.83/100.55	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])).
790.83/100.55	thf(zip_derived_cl31, plain,
790.83/100.55	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
790.83/100.55	       ( (X4 @ X6) |  (X4 @ ('#sk23' @ X2 @ X4)) | ~ (X4 @ c0) | ~ (X2 @ c0))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])).
790.83/100.55	thf(zip_derived_cl36, plain,
790.83/100.55	    (![X0 : $i > $o, X1 : $i > $o]:
790.83/100.55	       (~ (X0 @ c0) |  (X1 @ ('#sk23' @ X0 @ X1)) | ~ (X1 @ c0))),
790.83/100.55	    inference('condensation', [status(thm)], [zip_derived_cl31])).
790.83/100.55	thf(zip_derived_cl300, plain,
790.83/100.55	    (![X0 : $i > $o]:
790.83/100.55	       (~ (X0 @ c0)
790.83/100.55	        |  (X0 @ 
790.83/100.55	            ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ 
790.83/100.55	             X0)))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl36])).
790.83/100.55	thf(zip_derived_cl324, plain,
790.83/100.55	    (![X0 : $i > $o]: (~ (X0 @ c0) |  (X0 @ ('#sk23' @ cNUMBER @ X0)))),
790.83/100.55	    inference('ho_norm', [status(thm)], [zip_derived_cl300])).
790.83/100.55	thf(zip_derived_cl798, plain,
790.83/100.55	    (![X0 : $i > $i]:
790.83/100.55	       (~ (cODD @ (X0 @ c0))
790.83/100.55	        |  ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))) @ 
790.83/100.55	            ('#sk23' @ cNUMBER @ 
790.83/100.55	             (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))))))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl787, zip_derived_cl324])).
790.83/100.55	thf(zip_derived_cl815, plain,
790.83/100.55	    (![X0 : $i > $i]:
790.83/100.55	       (~ (cODD @ (X0 @ c0))
790.83/100.55	        |  (cNUMBER @ 
790.83/100.55	            (X0 @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0)))))))),
790.83/100.55	    inference('ho_norm', [status(thm)], [zip_derived_cl798])).
790.83/100.55	thf(zip_derived_cl1533, plain,
790.83/100.55	    ( (cNUMBER @ 
790.83/100.55	       (cS @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))))))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl815])).
790.83/100.55	thf(zip_derived_cl3005, plain,
790.83/100.55	    (![X0 : $i]:
790.83/100.55	       (~ (cEVEN @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0)))))
790.83/100.55	        |  (cNUMBER @ X0))),
790.83/100.55	    inference('demod', [status(thm)],
790.83/100.55	              [zip_derived_cl3004, zip_derived_cl7, zip_derived_cl1533])).
790.83/100.55	thf(zip_derived_cl3066, plain,
790.83/100.55	    (![X0 : $i]:
790.83/100.55	       ( (cODD @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0)))))
790.83/100.55	        |  (cNUMBER @ X0))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl2038, zip_derived_cl3005])).
790.83/100.55	thf(zip_derived_cl4, plain,
790.83/100.55	    ( (((!!) @ (^[Y0 : $i]: (((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
790.83/100.55	thf(zip_derived_cl10, plain,
790.83/100.55	    (![X2 : $i]:  (((cODD @ X2) => (cODD @ (cS @ (cS @ X2)))))),
790.83/100.55	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])).
790.83/100.55	thf(zip_derived_cl14, plain,
790.83/100.55	    (![X2 : $i]: (~ (cODD @ X2) |  (cODD @ (cS @ (cS @ X2))))),
790.83/100.55	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl10])).
790.83/100.55	thf(zip_derived_cl15, plain,
790.83/100.55	    (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))),
790.83/100.55	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl11])).
790.83/100.55	thf(zip_derived_cl114, plain,
790.83/100.55	    (![X0 : $i]:
790.83/100.55	       (((cNUMBER @ (cS @ (cS @ X0)))
790.83/100.55	          = ((($true) | (cEVEN @ (cS @ (cS @ X0))))))
790.83/100.55	        | ~ (cODD @ X0))),
790.83/100.55	    inference('sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl15])).
790.83/100.55	thf(zip_derived_cl124, plain,
790.83/100.55	    (![X0 : $i]: ( (cNUMBER @ (cS @ (cS @ X0))) | ~ (cODD @ X0))),
790.83/100.55	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl114])).
790.83/100.55	thf(zip_derived_cl1144, plain,
790.83/100.55	    (![X0 : $i, X1 : $i > $i]:
790.83/100.55	       ( (cNUMBER @ X0)
790.83/100.55	        | ~ (cNUMBER @ 
790.83/100.55	             (X1 @ 
790.83/100.55	              (cS @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0)))))))
790.83/100.55	        | ~ (cNUMBER @ 
790.83/100.55	             (cS @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0))))))
790.83/100.55	        | ~ (cODD @ (X1 @ c0)))),
790.83/100.55	    inference('ho_norm', [status(thm)], [zip_derived_cl1123])).
790.83/100.55	thf(zip_derived_cl2983, plain,
790.83/100.55	    (![X0 : $i]:
790.83/100.55	       (~ (cODD @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0)))))
790.83/100.55	        | ~ (cODD @ ((^[Y0 : $i]: (cS @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ c0))
790.83/100.55	        | ~ (cNUMBER @ 
790.83/100.55	             (cS @ 
790.83/100.55	              ('#sk23' @ cNUMBER @ 
790.83/100.55	               (^[Y0 : $i]:
790.83/100.55	                  (cNUMBER @ 
790.83/100.55	                   ((^[Y1 : $i]: (cS @ ((^[Y2 : $i]: (Y2)) @ Y1))) @ Y0))))))
790.83/100.55	        |  (cNUMBER @ X0))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl1144])).
790.83/100.55	thf(zip_derived_cl3006, plain,
790.83/100.55	    (![X0 : $i]:
790.83/100.55	       (~ (cODD @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0)))))
790.83/100.55	        | ~ (cODD @ (cS @ c0))
790.83/100.55	        | ~ (cNUMBER @ 
790.83/100.55	             (cS @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))))))
790.83/100.55	        |  (cNUMBER @ X0))),
790.83/100.55	    inference('ho_norm', [status(thm)], [zip_derived_cl2983])).
790.83/100.55	thf(zip_derived_cl7, plain, ( (cODD @ (cS @ c0))),
790.83/100.55	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
790.83/100.55	thf(zip_derived_cl1533, plain,
790.83/100.55	    ( (cNUMBER @ 
790.83/100.55	       (cS @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))))))),
790.83/100.55	    inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl815])).
790.83/100.55	thf(zip_derived_cl3007, plain,
790.83/100.55	    (![X0 : $i]:
790.83/100.55	       (~ (cODD @ ('#sk23' @ cNUMBER @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0)))))
790.83/100.55	        |  (cNUMBER @ X0))),
790.83/100.55	    inference('demod', [status(thm)],
790.83/100.55	              [zip_derived_cl3006, zip_derived_cl7, zip_derived_cl1533])).
790.83/100.55	thf(zip_derived_cl3069, plain, (![X0 : $i]:  (cNUMBER @ X0)),
790.83/100.55	    inference('clc', [status(thm)], [zip_derived_cl3066, zip_derived_cl3007])).
790.83/100.55	thf(zip_derived_cl3070, plain, ($false),
790.83/100.55	    inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl3069])).
790.83/100.55	
790.83/100.55	% SZS output end Refutation
790.83/100.55	
790.83/100.55	
790.83/100.55	% Terminating...
790.83/100.60	% Runner terminated.
790.83/100.61	% Zipperpin 1.5 exiting
790.83/100.62	EOF