0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.pWXcK07oKM true
0.12/0.33	% Computer : n029.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 1440
0.12/0.33	% WCLimit  : 180
0.12/0.33	% DateTime : Mon Jul  3 06:20:57 EDT 2023
0.12/0.34	% CPUTime  : 
0.12/0.34	% Running portfolio for 1440 s
0.12/0.34	% File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.12/0.34	% Number of cores: 8
0.12/0.34	% Python version: Python 3.6.8
0.12/0.34	% Running in HO mode
0.54/0.64	% Total configuration time : 828
0.54/0.64	% Estimated wc time : 1656
0.54/0.64	% Estimated cpu time (8 cpus) : 207.0
0.54/0.69	% /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
0.54/0.71	% /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
0.54/0.72	% /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
0.54/0.72	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
0.54/0.72	% /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
0.54/0.73	% /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
0.55/0.73	% /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.55/0.76	% /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
234.82/30.54	% /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
315.14/40.78	% /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
475.48/61.29	% /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
550.34/70.83	% /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
571.66/73.58	% /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
625.78/80.50	% /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
626.12/80.57	% /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s
626.69/80.73	% /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s
703.24/90.51	% /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s
707.03/91.10	% /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s
749.72/96.54	% /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s
752.16/96.82	% /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 36s
784.43/100.98	% Solved by lams/10_e_short2.sh.
784.43/100.98	% done 626 iterations in 10.393s
784.43/100.98	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
784.43/100.98	% SZS output start Refutation
784.43/100.98	thf(c0_type, type, c0: $i).
784.43/100.98	thf(cNUMBER_type, type, cNUMBER: $i > $o).
784.43/100.98	thf(cEVEN_type, type, cEVEN: $i > $o).
784.43/100.98	thf('#sk23_type', type, '#sk23': ($i > $o) > ($i > $o) > $i).
784.43/100.98	thf(cS_type, type, cS: $i > $i).
784.43/100.98	thf(cODD_type, type, cODD: $i > $o).
784.43/100.98	thf('#sk1_type', type, '#sk1': $i).
784.43/100.98	thf(cEVEN_ODD_4, conjecture,
784.43/100.98	  (( ( cEVEN @ c0 ) & ( cODD @ ( cS @ c0 ) ) & 
784.43/100.98	     ( ![Xn:$i]: ( ( cNUMBER @ Xn ) <=> ( ( cODD @ Xn ) | ( cEVEN @ Xn ) ) ) ) & 
784.43/100.98	     ( ![P:( $i > $o ),Q:( $i > $o )]:
784.43/100.98	       ( ( ( Q @ c0 ) & 
784.43/100.98	           ( ![Xx:$i]:
784.43/100.98	             ( ( ( Q @ Xx ) & ( P @ Xx ) ) =>
784.43/100.98	               ( ( P @ ( cS @ Xx ) ) & ( Q @ ( cS @ Xx ) ) ) ) ) & 
784.43/100.98	           ( P @ c0 ) ) =>
784.43/100.98	         ( ![Xx:$i]: ( ( P @ Xx ) & ( Q @ Xx ) ) ) ) ) & 
784.43/100.98	     ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) & 
784.43/100.98	     ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) ) =>
784.43/100.98	   ( ![Xn:$i]: ( cNUMBER @ Xn ) ))).
784.43/100.98	thf(zf_stmt_0, negated_conjecture,
784.43/100.98	  (~( ( ( cEVEN @ c0 ) & ( cODD @ ( cS @ c0 ) ) & 
784.43/100.98	        ( ![Xn:$i]:
784.43/100.98	          ( ( cNUMBER @ Xn ) <=> ( ( cODD @ Xn ) | ( cEVEN @ Xn ) ) ) ) & 
784.43/100.98	        ( ![P:( $i > $o ),Q:( $i > $o )]:
784.43/100.98	          ( ( ( Q @ c0 ) & 
784.43/100.98	              ( ![Xx:$i]:
784.43/100.98	                ( ( ( Q @ Xx ) & ( P @ Xx ) ) =>
784.43/100.98	                  ( ( P @ ( cS @ Xx ) ) & ( Q @ ( cS @ Xx ) ) ) ) ) & 
784.43/100.98	              ( P @ c0 ) ) =>
784.43/100.98	            ( ![Xx:$i]: ( ( P @ Xx ) & ( Q @ Xx ) ) ) ) ) & 
784.43/100.98	        ( ![Xn:$i]: ( ( cODD @ Xn ) => ( cODD @ ( cS @ ( cS @ Xn ) ) ) ) ) & 
784.43/100.98	        ( ![Xn:$i]: ( ( cEVEN @ Xn ) => ( cEVEN @ ( cS @ ( cS @ Xn ) ) ) ) ) ) =>
784.43/100.98	      ( ![Xn:$i]: ( cNUMBER @ Xn ) ) )),
784.43/100.98	  inference('cnf.neg', [status(esa)], [cEVEN_ODD_4])).
784.43/100.98	thf(zip_derived_cl0, plain,
784.43/100.98	    (~ (((((cEVEN @ c0) & (cODD @ (cS @ c0)) & 
784.43/100.98	           (((!!) @ (^[Y0 : $i]:
784.43/100.98	                       (((cNUMBER @ Y0) <=> (((cODD @ Y0) | (cEVEN @ Y0)))))))) & 
784.43/100.98	           (((!!) @ (^[Y0 : $i > $o]:
784.43/100.98	                       (((!!) @ (^[Y1 : $i > $o]:
784.43/100.98	                                   (((((Y1 @ c0) & 
784.43/100.98	                                       (((!!) @ (^[Y2 : $i]:
784.43/100.98	                                                   (((((Y1 @ Y2) & (Y0 @ Y2))) =>
784.43/100.98	                                                     (((Y0 @ (cS @ Y2)) &
784.43/100.98	                                                       (Y1 @ (cS @ Y2))))))))) & 
784.43/100.98	                                       (Y0 @ c0))) =>
784.43/100.98	                                     (((!!) @ (^[Y2 : $i]:
784.43/100.98	                                                 (((Y0 @ Y2) & (Y1 @ Y2)))))))))))))) & 
784.43/100.98	           (((!!) @ (^[Y0 : $i]: (((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0)))))))) & 
784.43/100.98	           (((!!) @ (^[Y0 : $i]:
784.43/100.98	                       (((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0)))))))))) =>
784.43/100.98	         (((!!) @ (^[Y0 : $i]: (cNUMBER @ Y0))))))),
784.43/100.98	    inference('cnf', [status(esa)], [zf_stmt_0])).
784.43/100.98	thf(zip_derived_cl2, plain, (~ (((!!) @ (^[Y0 : $i]: (cNUMBER @ Y0))))),
784.43/100.98	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
784.43/100.98	thf(zip_derived_cl9, plain, (~ (cNUMBER @ '#sk1')),
784.43/100.98	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
784.43/100.98	thf(zip_derived_cl1, plain,
784.43/100.98	    ( (((cEVEN @ c0) & (cODD @ (cS @ c0)) & 
784.43/100.98	        (((!!) @ (^[Y0 : $i]:
784.43/100.98	                    (((cNUMBER @ Y0) <=> (((cODD @ Y0) | (cEVEN @ Y0)))))))) & 
784.43/100.98	        (((!!) @ (^[Y0 : $i > $o]:
784.43/100.98	                    (((!!) @ (^[Y1 : $i > $o]:
784.43/100.98	                                (((((Y1 @ c0) & 
784.43/100.98	                                    (((!!) @ (^[Y2 : $i]:
784.43/100.98	                                                (((((Y1 @ Y2) & (Y0 @ Y2))) =>
784.43/100.98	                                                  (((Y0 @ (cS @ Y2)) & (Y1 @ 
784.43/100.98	                                                    (cS @ Y2))))))))) & 
784.43/100.98	                                    (Y0 @ c0))) =>
784.43/100.98	                                  (((!!) @ (^[Y2 : $i]:
784.43/100.98	                                              (((Y0 @ Y2) & (Y1 @ Y2)))))))))))))) & 
784.43/100.98	        (((!!) @ (^[Y0 : $i]: (((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0)))))))) & 
784.43/100.98	        (((!!) @ (^[Y0 : $i]: (((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0))))))))))),
784.43/100.98	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
784.43/100.98	thf(zip_derived_cl4, plain, ( (cODD @ (cS @ c0))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
784.43/100.98	thf(zip_derived_cl5, plain,
784.43/100.98	    ( (((!!) @ (^[Y0 : $i]:
784.43/100.98	                  (((cNUMBER @ Y0) <=> (((cODD @ Y0) | (cEVEN @ Y0))))))))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
784.43/100.98	thf(zip_derived_cl10, plain,
784.43/100.98	    (![X2 : $i]:  (((cNUMBER @ X2) <=> (((cODD @ X2) | (cEVEN @ X2)))))),
784.43/100.98	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
784.43/100.98	thf(zip_derived_cl14, plain,
784.43/100.98	    (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))),
784.43/100.98	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])).
784.43/100.98	thf(zip_derived_cl117, plain,
784.43/100.98	    (![X2 : $i]: ( (cNUMBER @ X2) | ~ (((cODD @ X2) | (cEVEN @ X2))))),
784.43/100.98	    inference('eq_elim', [status(thm)], [zip_derived_cl14])).
784.43/100.98	thf(zip_derived_cl787, plain,
784.43/100.98	    (![X2 : $i]: (~ (cODD @ X2) |  (cNUMBER @ X2))),
784.43/100.98	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl117])).
784.43/100.98	thf(zip_derived_cl3, plain, ( (cEVEN @ c0)),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
784.43/100.98	thf(zip_derived_cl14, plain,
784.43/100.98	    (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))),
784.43/100.98	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])).
784.43/100.98	thf(zip_derived_cl115, plain, (((cNUMBER @ c0) = (((cODD @ c0) | ($true))))),
784.43/100.98	    inference('sup+', [status(thm)], [zip_derived_cl3, zip_derived_cl14])).
784.43/100.98	thf(zip_derived_cl125, plain, ( (cNUMBER @ c0)),
784.43/100.98	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl115])).
784.43/100.98	thf(zip_derived_cl6, plain,
784.43/100.98	    ( (((!!) @ (^[Y0 : $i > $o]:
784.43/100.98	                  (((!!) @ (^[Y1 : $i > $o]:
784.43/100.98	                              (((((Y1 @ c0) & 
784.43/100.98	                                  (((!!) @ (^[Y2 : $i]:
784.43/100.98	                                              (((((Y1 @ Y2) & (Y0 @ Y2))) =>
784.43/100.98	                                                (((Y0 @ (cS @ Y2)) & (Y1 @ 
784.43/100.98	                                                  (cS @ Y2))))))))) & 
784.43/100.98	                                  (Y0 @ c0))) =>
784.43/100.98	                                (((!!) @ (^[Y2 : $i]:
784.43/100.98	                                            (((Y0 @ Y2) & (Y1 @ Y2))))))))))))))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
784.43/100.98	thf(zip_derived_cl11, plain,
784.43/100.98	    (![X2 : $i > $o]:
784.43/100.98	        (((!!) @ (^[Y0 : $i > $o]:
784.43/100.98	                    (((((Y0 @ c0) & 
784.43/100.98	                        (((!!) @ (^[Y1 : $i]:
784.43/100.98	                                    (((((Y0 @ Y1) & (X2 @ Y1))) =>
784.43/100.98	                                      (((X2 @ (cS @ Y1)) & (Y0 @ (cS @ Y1))))))))) & 
784.43/100.98	                        (X2 @ c0))) =>
784.43/100.98	                      (((!!) @ (^[Y1 : $i]: (((X2 @ Y1) & (Y0 @ Y1)))))))))))),
784.43/100.98	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])).
784.43/100.98	thf(zip_derived_cl15, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o]:
784.43/100.98	        (((((X4 @ c0) & 
784.43/100.98	            (((!!) @ (^[Y0 : $i]:
784.43/100.98	                        (((((X4 @ Y0) & (X2 @ Y0))) =>
784.43/100.98	                          (((X2 @ (cS @ Y0)) & (X4 @ (cS @ Y0))))))))) & 
784.43/100.98	            (X2 @ c0))) =>
784.43/100.98	          (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) & (X4 @ Y0))))))))),
784.43/100.98	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])).
784.43/100.98	thf(zip_derived_cl18, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o]:
784.43/100.98	       (~ (((X4 @ c0) & 
784.43/100.98	            (((!!) @ (^[Y0 : $i]:
784.43/100.98	                        (((((X4 @ Y0) & (X2 @ Y0))) =>
784.43/100.98	                          (((X2 @ (cS @ Y0)) & (X4 @ (cS @ Y0))))))))) & 
784.43/100.98	            (X2 @ c0)))
784.43/100.98	        |  (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) & (X4 @ Y0)))))))),
784.43/100.98	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])).
784.43/100.98	thf(zip_derived_cl19, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o]:
784.43/100.98	       (~ (X4 @ c0)
784.43/100.98	        | ~ (((!!) @ (^[Y0 : $i]:
784.43/100.98	                        (((((X4 @ Y0) & (X2 @ Y0))) =>
784.43/100.98	                          (((X2 @ (cS @ Y0)) & (X4 @ (cS @ Y0)))))))))
784.43/100.98	        | ~ (X2 @ c0)
784.43/100.98	        |  (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) & (X4 @ Y0)))))))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])).
784.43/100.98	thf(zip_derived_cl20, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o]:
784.43/100.98	       (~ (((((X4 @ ('#sk23' @ X2 @ X4)) & (X2 @ ('#sk23' @ X2 @ X4)))) =>
784.43/100.98	            (((X2 @ (cS @ ('#sk23' @ X2 @ X4))) & (X4 @ 
784.43/100.98	              (cS @ ('#sk23' @ X2 @ X4)))))))
784.43/100.98	        |  (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) & (X4 @ Y0))))))
784.43/100.98	        | ~ (X2 @ c0)
784.43/100.98	        | ~ (X4 @ c0))),
784.43/100.98	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl19])).
784.43/100.98	thf(zip_derived_cl21, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o]:
784.43/100.98	       ( (((X4 @ ('#sk23' @ X2 @ X4)) & (X2 @ ('#sk23' @ X2 @ X4))))
784.43/100.98	        | ~ (X4 @ c0)
784.43/100.98	        | ~ (X2 @ c0)
784.43/100.98	        |  (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) & (X4 @ Y0)))))))),
784.43/100.98	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])).
784.43/100.98	thf(zip_derived_cl23, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o]:
784.43/100.98	       ( (X4 @ ('#sk23' @ X2 @ X4))
784.43/100.98	        |  (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) & (X4 @ Y0))))))
784.43/100.98	        | ~ (X2 @ c0)
784.43/100.98	        | ~ (X4 @ c0))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
784.43/100.98	thf(zip_derived_cl26, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
784.43/100.98	       ( (((X2 @ X6) & (X4 @ X6)))
784.43/100.98	        | ~ (X4 @ c0)
784.43/100.98	        | ~ (X2 @ c0)
784.43/100.98	        |  (X4 @ ('#sk23' @ X2 @ X4)))),
784.43/100.98	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl23])).
784.43/100.98	thf(zip_derived_cl30, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
784.43/100.98	       ( (X4 @ X6) |  (X4 @ ('#sk23' @ X2 @ X4)) | ~ (X2 @ c0) | ~ (X4 @ c0))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])).
784.43/100.98	thf(zip_derived_cl35, plain,
784.43/100.98	    (![X0 : $i > $o, X1 : $i > $o]:
784.43/100.98	       (~ (X0 @ c0) |  (X0 @ ('#sk23' @ X1 @ X0)) | ~ (X1 @ c0))),
784.43/100.98	    inference('condensation', [status(thm)], [zip_derived_cl30])).
784.43/100.98	thf(zip_derived_cl205, plain,
784.43/100.98	    (![X0 : $i > $o]:
784.43/100.98	       (~ (X0 @ c0)
784.43/100.98	        |  ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ 
784.43/100.98	            ('#sk23' @ X0 @ 
784.43/100.98	             (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))))))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl35])).
784.43/100.98	thf(zip_derived_cl232, plain,
784.43/100.98	    (![X0 : $i > $o]: (~ (X0 @ c0) |  (cNUMBER @ ('#sk23' @ X0 @ cNUMBER)))),
784.43/100.98	    inference('ho_norm', [status(thm)], [zip_derived_cl205])).
784.43/100.98	thf(zip_derived_cl1297, plain,
784.43/100.98	    (![X0 : $i > $i]:
784.43/100.98	       (~ (cODD @ (X0 @ c0))
784.43/100.98	        |  (cNUMBER @ 
784.43/100.98	            ('#sk23' @ 
784.43/100.98	             (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))) @ 
784.43/100.98	             cNUMBER)))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl787, zip_derived_cl232])).
784.43/100.98	thf(zip_derived_cl1308, plain,
784.43/100.98	    (![X0 : $i > $i]:
784.43/100.98	       (~ (cODD @ (X0 @ c0))
784.43/100.98	        |  (cNUMBER @ 
784.43/100.98	            ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cNUMBER)))),
784.43/100.98	    inference('ho_norm', [status(thm)], [zip_derived_cl1297])).
784.43/100.98	thf(zip_derived_cl1483, plain,
784.43/100.98	    ( (cNUMBER @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl1308])).
784.43/100.98	thf(zip_derived_cl14, plain,
784.43/100.98	    (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))),
784.43/100.98	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])).
784.43/100.98	thf(zip_derived_cl118, plain,
784.43/100.98	    (![X2 : $i]: (~ (cNUMBER @ X2) |  (((cODD @ X2) | (cEVEN @ X2))))),
784.43/100.98	    inference('eq_elim', [status(thm)], [zip_derived_cl14])).
784.43/100.98	thf(zip_derived_cl930, plain,
784.43/100.98	    (![X2 : $i]: ( (cODD @ X2) |  (cEVEN @ X2) | ~ (cNUMBER @ X2))),
784.43/100.98	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl118])).
784.43/100.98	thf(zip_derived_cl2038, plain,
784.43/100.98	    (( (cEVEN @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))
784.43/100.98	      |  (cODD @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl1483, zip_derived_cl930])).
784.43/100.98	thf(zip_derived_cl8, plain,
784.43/100.98	    ( (((!!) @ (^[Y0 : $i]: (((cEVEN @ Y0) => (cEVEN @ (cS @ (cS @ Y0))))))))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
784.43/100.98	thf(zip_derived_cl13, plain,
784.43/100.98	    (![X2 : $i]:  (((cEVEN @ X2) => (cEVEN @ (cS @ (cS @ X2)))))),
784.43/100.98	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl8])).
784.43/100.98	thf(zip_derived_cl17, plain,
784.43/100.98	    (![X2 : $i]: (~ (cEVEN @ X2) |  (cEVEN @ (cS @ (cS @ X2))))),
784.43/100.98	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl13])).
784.43/100.98	thf(zip_derived_cl14, plain,
784.43/100.98	    (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))),
784.43/100.98	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])).
784.43/100.98	thf(zip_derived_cl116, plain,
784.43/100.98	    (![X0 : $i]:
784.43/100.98	       (((cNUMBER @ (cS @ (cS @ X0)))
784.43/100.98	          = (((cODD @ (cS @ (cS @ X0))) | ($true))))
784.43/100.98	        | ~ (cEVEN @ X0))),
784.43/100.98	    inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl14])).
784.43/100.98	thf(zip_derived_cl126, plain,
784.43/100.98	    (![X0 : $i]: ( (cNUMBER @ (cS @ (cS @ X0))) | ~ (cEVEN @ X0))),
784.43/100.98	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl116])).
784.43/100.98	thf(zip_derived_cl125, plain, ( (cNUMBER @ c0)),
784.43/100.98	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl115])).
784.43/100.98	thf(zip_derived_cl787, plain,
784.43/100.98	    (![X2 : $i]: (~ (cODD @ X2) |  (cNUMBER @ X2))),
784.43/100.98	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl117])).
784.43/100.98	thf(zip_derived_cl22, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o]:
784.43/100.98	       (~ (((X2 @ (cS @ ('#sk23' @ X2 @ X4))) & (X4 @ 
784.43/100.98	            (cS @ ('#sk23' @ X2 @ X4)))))
784.43/100.98	        | ~ (X4 @ c0)
784.43/100.98	        | ~ (X2 @ c0)
784.43/100.98	        |  (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) & (X4 @ Y0)))))))),
784.43/100.98	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl20])).
784.43/100.98	thf(zip_derived_cl25, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o]:
784.43/100.98	       (~ (X2 @ (cS @ ('#sk23' @ X2 @ X4)))
784.43/100.98	        | ~ (X4 @ (cS @ ('#sk23' @ X2 @ X4)))
784.43/100.98	        |  (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) & (X4 @ Y0))))))
784.43/100.98	        | ~ (X2 @ c0)
784.43/100.98	        | ~ (X4 @ c0))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl22])).
784.43/100.98	thf(zip_derived_cl28, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
784.43/100.98	       ( (((X2 @ X6) & (X4 @ X6)))
784.43/100.98	        | ~ (X4 @ c0)
784.43/100.98	        | ~ (X2 @ c0)
784.43/100.98	        | ~ (X4 @ (cS @ ('#sk23' @ X2 @ X4)))
784.43/100.98	        | ~ (X2 @ (cS @ ('#sk23' @ X2 @ X4))))),
784.43/100.98	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])).
784.43/100.98	thf(zip_derived_cl34, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
784.43/100.98	       ( (X4 @ X6)
784.43/100.98	        | ~ (X2 @ (cS @ ('#sk23' @ X2 @ X4)))
784.43/100.98	        | ~ (X4 @ (cS @ ('#sk23' @ X2 @ X4)))
784.43/100.98	        | ~ (X2 @ c0)
784.43/100.98	        | ~ (X4 @ c0))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl28])).
784.43/100.98	thf(zip_derived_cl806, plain,
784.43/100.98	    (![X0 : $i > $i, X1 : $i > $o, X2 : $i]:
784.43/100.98	       (~ (cODD @ (X0 @ c0))
784.43/100.98	        | ~ (X1 @ c0)
784.43/100.98	        | ~ (X1 @ 
784.43/100.98	             (cS @ 
784.43/100.98	              ('#sk23' @ 
784.43/100.98	               (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))) @ X1)))
784.43/100.98	        | ~ ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))) @ 
784.43/100.98	             (cS @ 
784.43/100.98	              ('#sk23' @ 
784.43/100.98	               (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))) @ X1)))
784.43/100.98	        |  (X1 @ X2))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl787, zip_derived_cl34])).
784.43/100.98	thf(zip_derived_cl822, plain,
784.43/100.98	    (![X0 : $i > $i, X1 : $i > $o, X2 : $i]:
784.43/100.98	       (~ (cODD @ (X0 @ c0))
784.43/100.98	        | ~ (X1 @ c0)
784.43/100.98	        | ~ (X1 @ (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ X1)))
784.43/100.98	        | ~ (cNUMBER @ 
784.43/100.98	             (X0 @ 
784.43/100.98	              (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ X1))))
784.43/100.98	        |  (X1 @ X2))),
784.43/100.98	    inference('ho_norm', [status(thm)], [zip_derived_cl806])).
784.43/100.98	thf(zip_derived_cl1123, plain,
784.43/100.98	    (![X0 : $i, X1 : $i > $i]:
784.43/100.98	       ( ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ X0)
784.43/100.98	        | ~ (cNUMBER @ 
784.43/100.98	             (X1 @ 
784.43/100.98	              (cS @ 
784.43/100.98	               ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0))) @ 
784.43/100.98	                (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0)))))))
784.43/100.98	        | ~ ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ 
784.43/100.98	             (cS @ 
784.43/100.98	              ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0))) @ 
784.43/100.98	               (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))))))
784.43/100.98	        | ~ (cODD @ (X1 @ c0)))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl822])).
784.43/100.98	thf(zip_derived_cl1144, plain,
784.43/100.98	    (![X0 : $i, X1 : $i > $i]:
784.43/100.98	       ( (cNUMBER @ X0)
784.43/100.98	        | ~ (cNUMBER @ 
784.43/100.98	             (X1 @ 
784.43/100.98	              (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0))) @ cNUMBER))))
784.43/100.98	        | ~ (cNUMBER @ 
784.43/100.98	             (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0))) @ cNUMBER)))
784.43/100.98	        | ~ (cODD @ (X1 @ c0)))),
784.43/100.98	    inference('ho_norm', [status(thm)], [zip_derived_cl1123])).
784.43/100.98	thf(zip_derived_cl2979, plain,
784.43/100.98	    (![X0 : $i]:
784.43/100.98	       (~ (cEVEN @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))
784.43/100.98	        | ~ (cODD @ ((^[Y0 : $i]: (cS @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ c0))
784.43/100.98	        | ~ (cNUMBER @ 
784.43/100.98	             (cS @ 
784.43/100.98	              ('#sk23' @ 
784.43/100.98	               (^[Y0 : $i]:
784.43/100.98	                  (cNUMBER @ 
784.43/100.98	                   ((^[Y1 : $i]: (cS @ ((^[Y2 : $i]: (Y2)) @ Y1))) @ Y0))) @ 
784.43/100.98	               cNUMBER)))
784.43/100.98	        |  (cNUMBER @ X0))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl126, zip_derived_cl1144])).
784.43/100.98	thf(zip_derived_cl3001, plain,
784.43/100.98	    (![X0 : $i]:
784.43/100.98	       (~ (cEVEN @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))
784.43/100.98	        | ~ (cODD @ (cS @ c0))
784.43/100.98	        | ~ (cNUMBER @ 
784.43/100.98	             (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))
784.43/100.98	        |  (cNUMBER @ X0))),
784.43/100.98	    inference('ho_norm', [status(thm)], [zip_derived_cl2979])).
784.43/100.98	thf(zip_derived_cl4, plain, ( (cODD @ (cS @ c0))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
784.43/100.98	thf(zip_derived_cl4, plain, ( (cODD @ (cS @ c0))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
784.43/100.98	thf(zip_derived_cl787, plain,
784.43/100.98	    (![X2 : $i]: (~ (cODD @ X2) |  (cNUMBER @ X2))),
784.43/100.98	    inference('lazy_cnf_or', [status(thm)], [zip_derived_cl117])).
784.43/100.98	thf(zip_derived_cl125, plain, ( (cNUMBER @ c0)),
784.43/100.98	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl115])).
784.43/100.98	thf(zip_derived_cl24, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o]:
784.43/100.98	       ( (X2 @ ('#sk23' @ X2 @ X4))
784.43/100.98	        |  (((!!) @ (^[Y0 : $i]: (((X2 @ Y0) & (X4 @ Y0))))))
784.43/100.98	        | ~ (X2 @ c0)
784.43/100.98	        | ~ (X4 @ c0))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl21])).
784.43/100.98	thf(zip_derived_cl27, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
784.43/100.98	       ( (((X2 @ X6) & (X4 @ X6)))
784.43/100.98	        | ~ (X4 @ c0)
784.43/100.98	        | ~ (X2 @ c0)
784.43/100.98	        |  (X2 @ ('#sk23' @ X2 @ X4)))),
784.43/100.98	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl24])).
784.43/100.98	thf(zip_derived_cl31, plain,
784.43/100.98	    (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
784.43/100.98	       ( (X2 @ X6) |  (X2 @ ('#sk23' @ X2 @ X4)) | ~ (X2 @ c0) | ~ (X4 @ c0))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl27])).
784.43/100.98	thf(zip_derived_cl36, plain,
784.43/100.98	    (![X0 : $i > $o, X1 : $i > $o]:
784.43/100.98	       (~ (X0 @ c0) |  (X1 @ ('#sk23' @ X1 @ X0)) | ~ (X1 @ c0))),
784.43/100.98	    inference('condensation', [status(thm)], [zip_derived_cl31])).
784.43/100.98	thf(zip_derived_cl300, plain,
784.43/100.98	    (![X0 : $i > $o]:
784.43/100.98	       (~ (X0 @ c0)
784.43/100.98	        |  (X0 @ 
784.43/100.98	            ('#sk23' @ X0 @ 
784.43/100.98	             (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (Y1)) @ Y0))))))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl36])).
784.43/100.98	thf(zip_derived_cl324, plain,
784.43/100.98	    (![X0 : $i > $o]: (~ (X0 @ c0) |  (X0 @ ('#sk23' @ X0 @ cNUMBER)))),
784.43/100.98	    inference('ho_norm', [status(thm)], [zip_derived_cl300])).
784.43/100.98	thf(zip_derived_cl798, plain,
784.43/100.98	    (![X0 : $i > $i]:
784.43/100.98	       (~ (cODD @ (X0 @ c0))
784.43/100.98	        |  ((^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))) @ 
784.43/100.98	            ('#sk23' @ 
784.43/100.98	             (^[Y0 : $i]: (cNUMBER @ ((^[Y1 : $i]: (X0 @ Y1)) @ Y0))) @ 
784.43/100.98	             cNUMBER)))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl787, zip_derived_cl324])).
784.43/100.98	thf(zip_derived_cl815, plain,
784.43/100.98	    (![X0 : $i > $i]:
784.43/100.98	       (~ (cODD @ (X0 @ c0))
784.43/100.98	        |  (cNUMBER @ 
784.43/100.98	            (X0 @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X0 @ Y0))) @ cNUMBER))))),
784.43/100.98	    inference('ho_norm', [status(thm)], [zip_derived_cl798])).
784.43/100.98	thf(zip_derived_cl1533, plain,
784.43/100.98	    ( (cNUMBER @ 
784.43/100.98	       (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl815])).
784.43/100.98	thf(zip_derived_cl3002, plain,
784.43/100.98	    (![X0 : $i]:
784.43/100.98	       (~ (cEVEN @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))
784.43/100.98	        |  (cNUMBER @ X0))),
784.43/100.98	    inference('demod', [status(thm)],
784.43/100.98	              [zip_derived_cl3001, zip_derived_cl4, zip_derived_cl1533])).
784.43/100.98	thf(zip_derived_cl3067, plain,
784.43/100.98	    (![X0 : $i]:
784.43/100.98	       ( (cODD @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))
784.43/100.98	        |  (cNUMBER @ X0))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl2038, zip_derived_cl3002])).
784.43/100.98	thf(zip_derived_cl7, plain,
784.43/100.98	    ( (((!!) @ (^[Y0 : $i]: (((cODD @ Y0) => (cODD @ (cS @ (cS @ Y0))))))))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
784.43/100.98	thf(zip_derived_cl12, plain,
784.43/100.98	    (![X2 : $i]:  (((cODD @ X2) => (cODD @ (cS @ (cS @ X2)))))),
784.43/100.98	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])).
784.43/100.98	thf(zip_derived_cl16, plain,
784.43/100.98	    (![X2 : $i]: (~ (cODD @ X2) |  (cODD @ (cS @ (cS @ X2))))),
784.43/100.98	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl12])).
784.43/100.98	thf(zip_derived_cl14, plain,
784.43/100.98	    (![X2 : $i]: ((cNUMBER @ X2) = (((cODD @ X2) | (cEVEN @ X2))))),
784.43/100.98	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl10])).
784.43/100.98	thf(zip_derived_cl114, plain,
784.43/100.98	    (![X0 : $i]:
784.43/100.98	       (((cNUMBER @ (cS @ (cS @ X0)))
784.43/100.98	          = ((($true) | (cEVEN @ (cS @ (cS @ X0))))))
784.43/100.98	        | ~ (cODD @ X0))),
784.43/100.98	    inference('sup+', [status(thm)], [zip_derived_cl16, zip_derived_cl14])).
784.43/100.98	thf(zip_derived_cl124, plain,
784.43/100.98	    (![X0 : $i]: ( (cNUMBER @ (cS @ (cS @ X0))) | ~ (cODD @ X0))),
784.43/100.98	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl114])).
784.43/100.98	thf(zip_derived_cl1144, plain,
784.43/100.98	    (![X0 : $i, X1 : $i > $i]:
784.43/100.98	       ( (cNUMBER @ X0)
784.43/100.98	        | ~ (cNUMBER @ 
784.43/100.98	             (X1 @ 
784.43/100.98	              (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0))) @ cNUMBER))))
784.43/100.98	        | ~ (cNUMBER @ 
784.43/100.98	             (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (X1 @ Y0))) @ cNUMBER)))
784.43/100.98	        | ~ (cODD @ (X1 @ c0)))),
784.43/100.98	    inference('ho_norm', [status(thm)], [zip_derived_cl1123])).
784.43/100.98	thf(zip_derived_cl2980, plain,
784.43/100.98	    (![X0 : $i]:
784.43/100.98	       (~ (cODD @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))
784.43/100.98	        | ~ (cODD @ ((^[Y0 : $i]: (cS @ ((^[Y1 : $i]: (Y1)) @ Y0))) @ c0))
784.43/100.98	        | ~ (cNUMBER @ 
784.43/100.98	             (cS @ 
784.43/100.98	              ('#sk23' @ 
784.43/100.98	               (^[Y0 : $i]:
784.43/100.98	                  (cNUMBER @ 
784.43/100.98	                   ((^[Y1 : $i]: (cS @ ((^[Y2 : $i]: (Y2)) @ Y1))) @ Y0))) @ 
784.43/100.98	               cNUMBER)))
784.43/100.98	        |  (cNUMBER @ X0))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl124, zip_derived_cl1144])).
784.43/100.98	thf(zip_derived_cl3003, plain,
784.43/100.98	    (![X0 : $i]:
784.43/100.98	       (~ (cODD @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))
784.43/100.98	        | ~ (cODD @ (cS @ c0))
784.43/100.98	        | ~ (cNUMBER @ 
784.43/100.98	             (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))
784.43/100.98	        |  (cNUMBER @ X0))),
784.43/100.98	    inference('ho_norm', [status(thm)], [zip_derived_cl2980])).
784.43/100.98	thf(zip_derived_cl4, plain, ( (cODD @ (cS @ c0))),
784.43/100.98	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
784.43/100.98	thf(zip_derived_cl1533, plain,
784.43/100.98	    ( (cNUMBER @ 
784.43/100.98	       (cS @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER)))),
784.43/100.98	    inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl815])).
784.43/100.98	thf(zip_derived_cl3004, plain,
784.43/100.98	    (![X0 : $i]:
784.43/100.98	       (~ (cODD @ ('#sk23' @ (^[Y0 : $i]: (cNUMBER @ (cS @ Y0))) @ cNUMBER))
784.43/100.98	        |  (cNUMBER @ X0))),
784.43/100.98	    inference('demod', [status(thm)],
784.43/100.98	              [zip_derived_cl3003, zip_derived_cl4, zip_derived_cl1533])).
784.43/100.98	thf(zip_derived_cl3070, plain, (![X0 : $i]:  (cNUMBER @ X0)),
784.43/100.98	    inference('clc', [status(thm)], [zip_derived_cl3067, zip_derived_cl3004])).
784.43/100.98	thf(zip_derived_cl3071, plain, ($false),
784.43/100.98	    inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl3070])).
784.43/100.98	
784.43/100.98	% SZS output end Refutation
784.43/100.98	
784.43/100.98	
784.43/100.98	% Terminating...
784.91/101.10	% Runner terminated.
784.91/101.11	% Zipperpin 1.5 exiting
784.91/101.12	EOF