0.07/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.14	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1zQV92C4Yh true
0.14/0.35	% Computer : n018.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 : 1920
0.14/0.35	% WCLimit  : 240
0.14/0.35	% DateTime : Wed Jul 30 10:05:19 EDT 2025
0.14/0.35	% CPUTime  : 
0.14/0.35	% Running portfolio for 1920 s
0.14/0.35	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.14/0.35	% Number of cores: 8
0.14/0.36	% Python version: Python 3.6.8
0.14/0.36	% Running in HO mode
0.59/0.67	% Total configuration time : 828
0.59/0.67	% Estimated wc time : 1656
0.59/0.67	% Estimated cpu time (8 cpus) : 207.0
0.60/0.72	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
0.60/0.74	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
0.60/0.74	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
0.60/0.75	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
0.60/0.75	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
0.60/0.77	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
0.60/0.77	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.60/0.79	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
239.50/30.82	% /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
317.11/40.62	% /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
477.98/60.91	% /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
555.28/70.70	% /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
632.70/80.53	% /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
632.70/80.54	% /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
634.00/80.76	% /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s
711.78/90.58	% /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s
713.85/90.96	% /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s
757.63/96.45	% /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s
790.17/100.56	% /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s
837.10/106.50	% /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 36s
871.18/110.79	% /export/starexec/sandbox/solver/bin/lams/10_shallow_lift.sh running for 30s
871.18/110.79	% /export/starexec/sandbox/solver/bin/lams/15_lcnf_noform.sh running for 30s
883.22/112.43	% /export/starexec/sandbox/solver/bin/lams/8_sh.eqenc2.sh running for 10s
916.28/116.55	% /export/starexec/sandbox/solver/bin/lams/8_cmb.lcnf4.sh running for 10s
950.69/120.93	% /export/starexec/sandbox/solver/bin/lams/8_new_l_av.sh running for 24s
961.12/122.31	% /export/starexec/sandbox/solver/bin/lams/10_forms1.sh running for 20s
967.30/123.05	% Solved by lams/10_forms1.sh.
967.30/123.05	% done 229 iterations in 0.678s
967.30/123.05	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
967.30/123.05	% SZS output start Refutation
967.30/123.05	thf('#sk28_type', type, '#sk28': $i > $i).
967.30/123.05	thf('#sk866_type', type, '#sk866': $i).
967.30/123.05	thf('#sk631_type', type, '#sk631': $i).
967.30/123.05	thf(c0_type, type, c0: $i).
967.30/123.05	thf('#sk26_type', type, '#sk26': $i).
967.30/123.05	thf(cS_type, type, cS: $i > $i).
967.30/123.05	thf(cIND_type, type, cIND: $o).
967.30/123.05	thf(cR_type, type, cR: $i > $i > $i > $o).
967.30/123.05	thf('#sk29_type', type, '#sk29': $i).
967.30/123.05	thf(cIND_def, axiom, cIND =
967.30/123.05	  (![Xp:( $i > $o )]:
967.30/123.05	   ( ( ( Xp @ c0 ) & ( ![Xx:$i]: ( ( Xp @ Xx ) => ( Xp @ ( cS @ Xx ) ) ) ) ) =>
967.30/123.05	     ( ![Xx:$i]: ( Xp @ Xx ) ) ))).
967.30/123.05	thf('0', plain,
967.30/123.05	    (( cIND ) =
967.30/123.05	     ( ![X4:( $i > $o )]:
967.30/123.05	       ( ( ( X4 @ c0 ) & 
967.30/123.05	           ( ![X6:$i]: ( ( X4 @ X6 ) => ( X4 @ ( cS @ X6 ) ) ) ) ) =>
967.30/123.05	         ( ![X8:$i]: ( X4 @ X8 ) ) ) )),
967.30/123.05	    define([status(thm)])).
967.30/123.05	thf(cTHM604, conjecture,
967.30/123.05	  (( ( ![Xn:$i]: ( cR @ c0 @ Xn @ ( cS @ Xn ) ) ) & 
967.30/123.05	     ( ![Xm:$i,Xk:$i]:
967.30/123.05	       ( ( cR @ Xm @ ( cS @ c0 ) @ Xk ) => ( cR @ ( cS @ Xm ) @ c0 @ Xk ) ) ) & 
967.30/123.05	     ( ![Xm:$i,Xn:$i,Xk:$i,Xl:$i]:
967.30/123.05	       ( ( cR @ ( cS @ Xm ) @ Xn @ Xl ) =>
967.30/123.05	         ( ( cR @ Xm @ Xl @ Xk ) => ( cR @ ( cS @ Xm ) @ ( cS @ Xn ) @ Xk ) ) ) ) & 
967.30/123.05	     ( cIND ) ) =>
967.30/123.05	   ( ![Xx:$i,Xy:$i]: ( ?[Xz:$i]: ( cR @ Xx @ Xy @ Xz ) ) ))).
967.30/123.05	thf(zf_stmt_0, conjecture,
967.30/123.05	  (( ( ![X18:( $i > $o )]:
967.30/123.05	       ( ( ( ![X20:$i]: ( ( X18 @ X20 ) => ( X18 @ ( cS @ X20 ) ) ) ) & 
967.30/123.05	           ( X18 @ c0 ) ) =>
967.30/123.05	         ( ![X22:$i]: ( X18 @ X22 ) ) ) ) & 
967.30/123.05	     ( ![X10:$i,X12:$i,X14:$i,X16:$i]:
967.30/123.05	       ( ( cR @ ( cS @ X10 ) @ X12 @ X16 ) =>
967.30/123.05	         ( ( cR @ X10 @ X16 @ X14 ) =>
967.30/123.05	           ( cR @ ( cS @ X10 ) @ ( cS @ X12 ) @ X14 ) ) ) ) & 
967.30/123.05	     ( ![X6:$i,X8:$i]:
967.30/123.05	       ( ( cR @ X6 @ ( cS @ c0 ) @ X8 ) => ( cR @ ( cS @ X6 ) @ c0 @ X8 ) ) ) & 
967.30/123.05	     ( ![X4:$i]: ( cR @ c0 @ X4 @ ( cS @ X4 ) ) ) ) =>
967.30/123.05	   ( ![X24:$i,X26:$i]: ( ?[X28:$i]: ( cR @ X24 @ X26 @ X28 ) ) ))).
967.30/123.05	thf(zf_stmt_1, negated_conjecture,
967.30/123.05	  (~( ( ( ![X18:( $i > $o )]:
967.30/123.05	          ( ( ( ![X20:$i]: ( ( X18 @ X20 ) => ( X18 @ ( cS @ X20 ) ) ) ) & 
967.30/123.05	              ( X18 @ c0 ) ) =>
967.30/123.05	            ( ![X22:$i]: ( X18 @ X22 ) ) ) ) & 
967.30/123.05	        ( ![X10:$i,X12:$i,X14:$i,X16:$i]:
967.30/123.05	          ( ( cR @ ( cS @ X10 ) @ X12 @ X16 ) =>
967.30/123.05	            ( ( cR @ X10 @ X16 @ X14 ) =>
967.30/123.05	              ( cR @ ( cS @ X10 ) @ ( cS @ X12 ) @ X14 ) ) ) ) & 
967.30/123.05	        ( ![X6:$i,X8:$i]:
967.30/123.05	          ( ( cR @ X6 @ ( cS @ c0 ) @ X8 ) => ( cR @ ( cS @ X6 ) @ c0 @ X8 ) ) ) & 
967.30/123.05	        ( ![X4:$i]: ( cR @ c0 @ X4 @ ( cS @ X4 ) ) ) ) =>
967.30/123.05	      ( ![X24:$i,X26:$i]: ( ?[X28:$i]: ( cR @ X24 @ X26 @ X28 ) ) ) )),
967.30/123.05	  inference('cnf.neg', [status(esa)], [zf_stmt_0])).
967.30/123.05	thf(zip_derived_cl0, plain,
967.30/123.05	    (~ (((((((!!) @ (^[Y0 : $i > $o]:
967.30/123.05	                       (((((((!!) @ (^[Y1 : $i]:
967.30/123.05	                                       (((Y0 @ Y1) => (Y0 @ (cS @ Y1))))))) &
967.30/123.05	                           (Y0 @ c0))) =>
967.30/123.05	                         (((!!) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) & 
967.30/123.05	           (((!!) @ (^[Y0 : $i]:
967.30/123.05	                       (((!!) @ (^[Y1 : $i]:
967.30/123.05	                                   (((!!) @ (^[Y2 : $i]:
967.30/123.05	                                               (((!!) @ (^[Y3 : $i]:
967.30/123.05	                                                           (((cR @ 
967.30/123.05	                                                             (cS @ Y0) @ 
967.30/123.05	                                                             Y1 @ Y3) =>
967.30/123.05	                                                             (((cR @ Y0 @ 
967.30/123.05	                                                               Y3 @ Y2) =>
967.30/123.05	                                                               (cR @ 
967.30/123.05	                                                               (cS @ Y0) @ 
967.30/123.05	                                                               (cS @ Y1) @ 
967.30/123.05	                                                               Y2))))))))))))))))) & 
967.30/123.05	           (((!!) @ (^[Y0 : $i]:
967.30/123.05	                       (((!!) @ (^[Y1 : $i]:
967.30/123.05	                                   (((cR @ Y0 @ (cS @ c0) @ Y1) => (cR @ 
967.30/123.05	                                     (cS @ Y0) @ c0 @ Y1))))))))) & 
967.30/123.05	           (((!!) @ (^[Y0 : $i]: (cR @ c0 @ Y0 @ (cS @ Y0))))))) =>
967.30/123.05	         (((!!) @ (^[Y0 : $i]:
967.30/123.05	                     (((!!) @ (^[Y1 : $i]:
967.30/123.05	                                 (((??) @ (^[Y2 : $i]: (cR @ Y0 @ Y1 @ Y2))))))))))))),
967.30/123.05	    inference('cnf', [status(esa)], [zf_stmt_1])).
967.30/123.05	thf(zip_derived_cl1, plain,
967.30/123.05	    ( (((((!!) @ (^[Y0 : $i > $o]:
967.30/123.05	                    (((((((!!) @ (^[Y1 : $i]:
967.30/123.05	                                    (((Y0 @ Y1) => (Y0 @ (cS @ Y1))))))) &
967.30/123.05	                        (Y0 @ c0))) =>
967.30/123.05	                      (((!!) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) & 
967.30/123.05	        (((!!) @ (^[Y0 : $i]:
967.30/123.05	                    (((!!) @ (^[Y1 : $i]:
967.30/123.05	                                (((!!) @ (^[Y2 : $i]:
967.30/123.05	                                            (((!!) @ (^[Y3 : $i]:
967.30/123.05	                                                        (((cR @ (cS @ Y0) @ 
967.30/123.05	                                                          Y1 @ Y3) =>
967.30/123.05	                                                          (((cR @ Y0 @ Y3 @ 
967.30/123.05	                                                            Y2) => (cR @ 
967.30/123.05	                                                            (cS @ Y0) @ 
967.30/123.05	                                                            (cS @ Y1) @ Y2))))))))))))))))) & 
967.30/123.05	        (((!!) @ (^[Y0 : $i]:
967.30/123.05	                    (((!!) @ (^[Y1 : $i]:
967.30/123.05	                                (((cR @ Y0 @ (cS @ c0) @ Y1) => (cR @ 
967.30/123.05	                                  (cS @ Y0) @ c0 @ Y1))))))))) & 
967.30/123.05	        (((!!) @ (^[Y0 : $i]: (cR @ c0 @ Y0 @ (cS @ Y0)))))))),
967.30/123.05	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
967.30/123.05	thf(zip_derived_cl6, plain,
967.30/123.05	    ( (((!!) @ (^[Y0 : $i]: (cR @ c0 @ Y0 @ (cS @ Y0)))))),
967.30/123.05	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
967.30/123.05	thf(zip_derived_cl7, plain, (![X2 : $i]:  (cR @ c0 @ X2 @ (cS @ X2))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])).
967.30/123.05	thf(zip_derived_cl2, plain,
967.30/123.05	    (~ (((!!) @ (^[Y0 : $i]:
967.30/123.05	                   (((!!) @ (^[Y1 : $i]:
967.30/123.05	                               (((??) @ (^[Y2 : $i]: (cR @ Y0 @ Y1 @ Y2))))))))))),
967.30/123.05	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
967.30/123.05	thf(zip_derived_cl3, plain,
967.30/123.05	    ( (((!!) @ (^[Y0 : $i > $o]:
967.30/123.05	                  (((((((!!) @ (^[Y1 : $i]: (((Y0 @ Y1) => (Y0 @ (cS @ Y1))))))) &
967.30/123.05	                      (Y0 @ c0))) =>
967.30/123.05	                    (((!!) @ (^[Y1 : $i]: (Y0 @ Y1)))))))))),
967.30/123.05	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
967.30/123.05	thf(zip_derived_cl22, plain,
967.30/123.05	    (![X2 : $i > $o]:
967.30/123.05	        (((((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => (X2 @ (cS @ Y0))))))) &
967.30/123.05	            (X2 @ c0))) =>
967.30/123.05	          (((!!) @ (^[Y0 : $i]: (X2 @ Y0))))))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])).
967.30/123.05	thf(zip_derived_cl33, plain,
967.30/123.05	    ( (((((((!!) @ (^[Y0 : $i]:
967.30/123.05	                      ((((^[Y1 : $i]:
967.30/123.05	                            (((!!) @ (^[Y2 : $i]:
967.30/123.05	                                        (((??) @ (^[Y3 : $i]:
967.30/123.05	                                                    (cR @ Y1 @ Y2 @ Y3)))))))) @ 
967.30/123.05	                        Y0) =>
967.30/123.05	                        ((^[Y1 : $i]:
967.30/123.05	                            (((!!) @ (^[Y2 : $i]:
967.30/123.05	                                        (((??) @ (^[Y3 : $i]:
967.30/123.05	                                                    (cR @ Y1 @ Y2 @ Y3)))))))) @ 
967.30/123.05	                        (cS @ Y0))))))) &
967.30/123.05	          ((^[Y0 : $i]:
967.30/123.05	              (((!!) @ (^[Y1 : $i]:
967.30/123.05	                          (((??) @ (^[Y2 : $i]: (cR @ Y0 @ Y1 @ Y2)))))))) @ 
967.30/123.05	          c0))) =>
967.30/123.05	        ($false)))),
967.30/123.05	    inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl22])).
967.30/123.05	thf(zip_derived_cl41, plain,
967.30/123.05	    ( (((((((!!) @ (^[Y0 : $i]:
967.30/123.05	                      (((((!!) @ (^[Y1 : $i]:
967.30/123.05	                                    (((??) @ (^[Y2 : $i]: (cR @ Y0 @ Y1 @ Y2))))))) =>
967.30/123.05	                        (((!!) @ (^[Y1 : $i]:
967.30/123.05	                                    (((??) @ (^[Y2 : $i]:
967.30/123.05	                                                (cR @ (cS @ Y0) @ Y1 @ Y2)))))))))))) &
967.30/123.05	          (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))) =>
967.30/123.05	        ($false)))),
967.30/123.05	    inference('ho_norm', [status(thm)], [zip_derived_cl33])).
967.30/123.05	thf(zip_derived_cl42, plain,
967.30/123.05	    ( (((~) @ (((((!!) @ (^[Y0 : $i]:
967.30/123.05	                            (((((!!) @ (^[Y1 : $i]:
967.30/123.05	                                          (((??) @ (^[Y2 : $i]:
967.30/123.05	                                                      (cR @ Y0 @ Y1 @ Y2))))))) =>
967.30/123.05	                              (((!!) @ (^[Y1 : $i]:
967.30/123.05	                                          (((??) @ (^[Y2 : $i]:
967.30/123.05	                                                      (cR @ (cS @ Y0) @ Y1 @ 
967.30/123.05	                                                       Y2)))))))))))) &
967.30/123.05	                (((!!) @ (^[Y0 : $i]:
967.30/123.05	                            (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1)))))))))))),
967.30/123.05	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl41])).
967.30/123.05	thf(zip_derived_cl43, plain,
967.30/123.05	    (~ (((((!!) @ (^[Y0 : $i]:
967.30/123.05	                     (((((!!) @ (^[Y1 : $i]:
967.30/123.05	                                   (((??) @ (^[Y2 : $i]: (cR @ Y0 @ Y1 @ Y2))))))) =>
967.30/123.05	                       (((!!) @ (^[Y1 : $i]:
967.30/123.05	                                   (((??) @ (^[Y2 : $i]:
967.30/123.05	                                               (cR @ (cS @ Y0) @ Y1 @ Y2)))))))))))) &
967.30/123.05	         (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1)))))))))),
967.30/123.05	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl42])).
967.30/123.05	thf(zip_derived_cl110, plain,
967.30/123.05	    ((~ (((!!) @ (^[Y0 : $i]:
967.30/123.05	                    (((((!!) @ (^[Y1 : $i]:
967.30/123.05	                                  (((??) @ (^[Y2 : $i]: (cR @ Y0 @ Y1 @ Y2))))))) =>
967.30/123.05	                      (((!!) @ (^[Y1 : $i]:
967.30/123.05	                                  (((??) @ (^[Y2 : $i]:
967.30/123.05	                                              (cR @ (cS @ Y0) @ Y1 @ Y2))))))))))))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl43])).
967.30/123.05	thf(zip_derived_cl112, plain,
967.30/123.05	    ((~ (((((!!) @ (^[Y0 : $i]:
967.30/123.05	                      (((??) @ (^[Y1 : $i]: (cR @ '#sk26' @ Y0 @ Y1))))))) =>
967.30/123.05	          (((!!) @ (^[Y0 : $i]:
967.30/123.05	                      (((??) @ (^[Y1 : $i]: (cR @ (cS @ '#sk26') @ Y0 @ Y1)))))))))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl110])).
967.30/123.05	thf(zip_derived_cl118, plain,
967.30/123.05	    (( (((!!) @ (^[Y0 : $i]:
967.30/123.05	                   (((??) @ (^[Y1 : $i]: (cR @ '#sk26' @ Y0 @ Y1)))))))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl112])).
967.30/123.05	thf(zip_derived_cl121, plain,
967.30/123.05	    (![X2 : $i]:
967.30/123.05	       ( (((??) @ (^[Y0 : $i]: (cR @ '#sk26' @ X2 @ Y0))))
967.30/123.05	        | ~ (((!!) @ (^[Y0 : $i]:
967.30/123.05	                        (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl118])).
967.30/123.05	thf(zip_derived_cl166, plain,
967.30/123.05	    (![X2 : $i]:
967.30/123.05	       ( (cR @ '#sk26' @ X2 @ ('#sk28' @ X2))
967.30/123.05	        | ~ (((!!) @ (^[Y0 : $i]:
967.30/123.05	                        (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl121])).
967.30/123.05	thf(zip_derived_cl167, plain,
967.30/123.05	    (![X2 : $i]:
967.30/123.05	       (~ (((??) @ (^[Y0 : $i]: (cR @ c0 @ '#sk29' @ Y0))))
967.30/123.05	        |  (cR @ '#sk26' @ X2 @ ('#sk28' @ X2)))),
967.30/123.05	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl166])).
967.30/123.05	thf(zip_derived_cl171, plain,
967.30/123.05	    (![X2 : $i, X4 : $i]:
967.30/123.05	       (~ (cR @ c0 @ '#sk29' @ X4) |  (cR @ '#sk26' @ X2 @ ('#sk28' @ X2)))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl167])).
967.30/123.05	thf(zip_derived_cl172, plain,
967.30/123.05	    (![X0 : $i]:  (cR @ '#sk26' @ X0 @ ('#sk28' @ X0))),
967.30/123.05	    inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl171])).
967.30/123.05	thf(zip_derived_cl7, plain, (![X2 : $i]:  (cR @ c0 @ X2 @ (cS @ X2))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])).
967.30/123.05	thf(zip_derived_cl172, plain,
967.30/123.05	    (![X0 : $i]:  (cR @ '#sk26' @ X0 @ ('#sk28' @ X0))),
967.30/123.05	    inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl171])).
967.30/123.05	thf(zip_derived_cl5, plain,
967.30/123.05	    ( (((!!) @ (^[Y0 : $i]:
967.30/123.05	                  (((!!) @ (^[Y1 : $i]:
967.30/123.05	                              (((cR @ Y0 @ (cS @ c0) @ Y1) => (cR @ 
967.30/123.05	                                (cS @ Y0) @ c0 @ Y1)))))))))),
967.30/123.05	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
967.30/123.05	thf(zip_derived_cl11, plain,
967.30/123.05	    (![X2 : $i]:
967.30/123.05	        (((!!) @ (^[Y0 : $i]:
967.30/123.05	                    (((cR @ X2 @ (cS @ c0) @ Y0) => (cR @ (cS @ X2) @ c0 @ 
967.30/123.05	                      Y0))))))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
967.30/123.05	thf(zip_derived_cl12, plain,
967.30/123.05	    (![X2 : $i, X4 : $i]:
967.30/123.05	        (((cR @ X2 @ (cS @ c0) @ X4) => (cR @ (cS @ X2) @ c0 @ X4)))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])).
967.30/123.05	thf(zip_derived_cl13, plain,
967.30/123.05	    (![X2 : $i, X4 : $i]:
967.30/123.05	       (~ (cR @ X2 @ (cS @ c0) @ X4) |  (cR @ (cS @ X2) @ c0 @ X4))),
967.30/123.05	    inference('imp_elim', [status(thm)], [zip_derived_cl12])).
967.30/123.05	thf(zip_derived_cl317, plain,
967.30/123.05	    ( (cR @ (cS @ '#sk26') @ c0 @ ('#sk28' @ (cS @ c0)))),
967.30/123.05	    inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl13])).
967.30/123.05	thf(zip_derived_cl7, plain, (![X2 : $i]:  (cR @ c0 @ X2 @ (cS @ X2))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl6])).
967.30/123.05	thf(zip_derived_cl317, plain,
967.30/123.05	    ( (cR @ (cS @ '#sk26') @ c0 @ ('#sk28' @ (cS @ c0)))),
967.30/123.05	    inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl13])).
967.30/123.05	thf(zip_derived_cl119, plain,
967.30/123.05	    ((~ (((!!) @ (^[Y0 : $i]:
967.30/123.05	                    (((??) @ (^[Y1 : $i]: (cR @ (cS @ '#sk26') @ Y0 @ Y1)))))))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl112])).
967.30/123.05	thf(zip_derived_cl22, plain,
967.30/123.05	    (![X2 : $i > $o]:
967.30/123.05	        (((((((!!) @ (^[Y0 : $i]: (((X2 @ Y0) => (X2 @ (cS @ Y0))))))) &
967.30/123.05	            (X2 @ c0))) =>
967.30/123.05	          (((!!) @ (^[Y0 : $i]: (X2 @ Y0))))))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])).
967.30/123.05	thf(zip_derived_cl125, plain,
967.30/123.05	    (( (((((((!!) @ (^[Y0 : $i]:
967.30/123.05	                       ((((^[Y1 : $i]:
967.30/123.05	                             (((??) @ (^[Y2 : $i]:
967.30/123.05	                                         (cR @ (cS @ '#sk26') @ Y1 @ Y2))))) @ 
967.30/123.05	                         Y0) =>
967.30/123.05	                         ((^[Y1 : $i]:
967.30/123.05	                             (((??) @ (^[Y2 : $i]:
967.30/123.05	                                         (cR @ (cS @ '#sk26') @ Y1 @ Y2))))) @ 
967.30/123.05	                         (cS @ Y0))))))) &
967.30/123.05	           ((^[Y0 : $i]:
967.30/123.05	               (((??) @ (^[Y1 : $i]: (cR @ (cS @ '#sk26') @ Y0 @ Y1))))) @ 
967.30/123.05	           c0))) =>
967.30/123.05	         ($false)))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('sup+', [status(thm)], [zip_derived_cl119, zip_derived_cl22])).
967.30/123.05	thf(zip_derived_cl127, plain,
967.30/123.05	    (( (((((((!!) @ (^[Y0 : $i]:
967.30/123.05	                       (((((??) @ (^[Y1 : $i]:
967.30/123.05	                                     (cR @ (cS @ '#sk26') @ Y0 @ Y1)))) =>
967.30/123.05	                         (((??) @ (^[Y1 : $i]:
967.30/123.05	                                     (cR @ (cS @ '#sk26') @ (cS @ Y0) @ Y1))))))))) &
967.30/123.05	           (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0)))))) =>
967.30/123.05	         ($false)))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('ho_norm', [status(thm)], [zip_derived_cl125])).
967.30/123.05	thf(zip_derived_cl128, plain,
967.30/123.05	    (( (((~) @ (((((!!) @ (^[Y0 : $i]:
967.30/123.05	                             (((((??) @ (^[Y1 : $i]:
967.30/123.05	                                           (cR @ (cS @ '#sk26') @ Y0 @ Y1)))) =>
967.30/123.05	                               (((??) @ (^[Y1 : $i]:
967.30/123.05	                                           (cR @ (cS @ '#sk26') @ 
967.30/123.05	                                            (cS @ Y0) @ Y1))))))))) &
967.30/123.05	                 (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0))))))))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl127])).
967.30/123.05	thf(zip_derived_cl129, plain,
967.30/123.05	    ((~ (((((!!) @ (^[Y0 : $i]:
967.30/123.05	                      (((((??) @ (^[Y1 : $i]: (cR @ (cS @ '#sk26') @ Y0 @ Y1)))) =>
967.30/123.05	                        (((??) @ (^[Y1 : $i]:
967.30/123.05	                                    (cR @ (cS @ '#sk26') @ (cS @ Y0) @ Y1))))))))) &
967.30/123.05	          (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0))))))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('simplify nested equalities', [status(thm)],
967.30/123.05	              [zip_derived_cl128])).
967.30/123.05	thf(zip_derived_cl540, plain,
967.30/123.05	    ((~ (((!!) @ (^[Y0 : $i]:
967.30/123.05	                    (((((??) @ (^[Y1 : $i]: (cR @ (cS @ '#sk26') @ Y0 @ Y1)))) =>
967.30/123.05	                      (((??) @ (^[Y1 : $i]:
967.30/123.05	                                  (cR @ (cS @ '#sk26') @ (cS @ Y0) @ Y1)))))))))
967.30/123.05	      | ~ (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0))))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl129])).
967.30/123.05	thf(zip_derived_cl543, plain,
967.30/123.05	    ((~ (((((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ '#sk631' @ Y0)))) =>
967.30/123.05	          (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ (cS @ '#sk631') @ Y0))))))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1)))))))
967.30/123.05	      | ~ (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0)))))),
967.30/123.05	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl540])).
967.30/123.05	thf(zip_derived_cl749, plain,
967.30/123.05	    (( (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ '#sk631' @ Y0))))
967.30/123.05	      | ~ (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0))))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl543])).
967.30/123.05	thf(zip_derived_cl752, plain,
967.30/123.05	    (( (cR @ (cS @ '#sk26') @ '#sk631' @ '#sk866')
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1)))))))
967.30/123.05	      | ~ (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0)))))),
967.30/123.05	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl749])).
967.30/123.05	thf(zip_derived_cl1255, plain,
967.30/123.05	    ((~ (((??) @ (^[Y0 : $i]: (cR @ c0 @ '#sk29' @ Y0))))
967.30/123.05	      | ~ (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0))))
967.30/123.05	      |  (cR @ (cS @ '#sk26') @ '#sk631' @ '#sk866'))),
967.30/123.05	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl752])).
967.30/123.05	thf(zip_derived_cl1322, plain,
967.30/123.05	    (![X2 : $i]:
967.30/123.05	       (~ (cR @ c0 @ '#sk29' @ X2)
967.30/123.05	        |  (cR @ (cS @ '#sk26') @ '#sk631' @ '#sk866')
967.30/123.05	        | ~ (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0)))))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1255])).
967.30/123.05	thf(zip_derived_cl1323, plain,
967.30/123.05	    (![X2 : $i, X4 : $i]:
967.30/123.05	       (~ (cR @ (cS @ '#sk26') @ c0 @ X4)
967.30/123.05	        |  (cR @ (cS @ '#sk26') @ '#sk631' @ '#sk866')
967.30/123.05	        | ~ (cR @ c0 @ '#sk29' @ X2))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1322])).
967.30/123.05	thf(zip_derived_cl1370, plain,
967.30/123.05	    (![X0 : $i]:
967.30/123.05	       (~ (cR @ c0 @ '#sk29' @ X0)
967.30/123.05	        |  (cR @ (cS @ '#sk26') @ '#sk631' @ '#sk866'))),
967.30/123.05	    inference('sup-', [status(thm)], [zip_derived_cl317, zip_derived_cl1323])).
967.30/123.05	thf(zip_derived_cl1372, plain,
967.30/123.05	    ( (cR @ (cS @ '#sk26') @ '#sk631' @ '#sk866')),
967.30/123.05	    inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1370])).
967.30/123.05	thf(zip_derived_cl4, plain,
967.30/123.05	    ( (((!!) @ (^[Y0 : $i]:
967.30/123.05	                  (((!!) @ (^[Y1 : $i]:
967.30/123.05	                              (((!!) @ (^[Y2 : $i]:
967.30/123.05	                                          (((!!) @ (^[Y3 : $i]:
967.30/123.05	                                                      (((cR @ (cS @ Y0) @ 
967.30/123.05	                                                        Y1 @ Y3) =>
967.30/123.05	                                                        (((cR @ Y0 @ Y3 @ 
967.30/123.05	                                                          Y2) => (cR @ 
967.30/123.05	                                                          (cS @ Y0) @ 
967.30/123.05	                                                          (cS @ Y1) @ Y2)))))))))))))))))),
967.30/123.05	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1])).
967.30/123.05	thf(zip_derived_cl52, plain,
967.30/123.05	    (![X2 : $i]:
967.30/123.05	        (((!!) @ (^[Y0 : $i]:
967.30/123.05	                    (((!!) @ (^[Y1 : $i]:
967.30/123.05	                                (((!!) @ (^[Y2 : $i]:
967.30/123.05	                                            (((cR @ (cS @ X2) @ Y0 @ Y2) =>
967.30/123.05	                                              (((cR @ X2 @ Y2 @ Y1) => (cR @ 
967.30/123.05	                                                (cS @ X2) @ (cS @ Y0) @ Y1))))))))))))))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])).
967.30/123.05	thf(zip_derived_cl57, plain,
967.30/123.05	    (![X2 : $i, X4 : $i]:
967.30/123.05	        (((!!) @ (^[Y0 : $i]:
967.30/123.05	                    (((!!) @ (^[Y1 : $i]:
967.30/123.05	                                (((cR @ (cS @ X2) @ X4 @ Y1) =>
967.30/123.05	                                  (((cR @ X2 @ Y1 @ Y0) => (cR @ (cS @ X2) @ 
967.30/123.05	                                    (cS @ X4) @ Y0)))))))))))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl52])).
967.30/123.05	thf(zip_derived_cl62, plain,
967.30/123.05	    (![X2 : $i, X4 : $i, X6 : $i]:
967.30/123.05	        (((!!) @ (^[Y0 : $i]:
967.30/123.05	                    (((cR @ (cS @ X2) @ X4 @ Y0) =>
967.30/123.05	                      (((cR @ X2 @ Y0 @ X6) => (cR @ (cS @ X2) @ (cS @ X4) @ 
967.30/123.05	                        X6))))))))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])).
967.30/123.05	thf(zip_derived_cl67, plain,
967.30/123.05	    (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
967.30/123.05	        (((cR @ (cS @ X2) @ X4 @ X8) =>
967.30/123.05	          (((cR @ X2 @ X8 @ X6) => (cR @ (cS @ X2) @ (cS @ X4) @ X6)))))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl62])).
967.30/123.05	thf(zip_derived_cl83, plain,
967.30/123.05	    (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
967.30/123.05	       (~ (cR @ (cS @ X2) @ X4 @ X8)
967.30/123.05	        |  (((cR @ X2 @ X8 @ X6) => (cR @ (cS @ X2) @ (cS @ X4) @ X6))))),
967.30/123.05	    inference('imp_elim', [status(thm)], [zip_derived_cl67])).
967.30/123.05	thf(zip_derived_cl85, plain,
967.30/123.05	    (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
967.30/123.05	       (~ (cR @ X2 @ X8 @ X6)
967.30/123.05	        |  (cR @ (cS @ X2) @ (cS @ X4) @ X6)
967.30/123.05	        | ~ (cR @ (cS @ X2) @ X4 @ X8))),
967.30/123.05	    inference('imp_elim', [status(thm)], [zip_derived_cl83])).
967.30/123.05	thf(zip_derived_cl1374, plain,
967.30/123.05	    (![X0 : $i]:
967.30/123.05	       ( (cR @ (cS @ '#sk26') @ (cS @ '#sk631') @ X0)
967.30/123.05	        | ~ (cR @ '#sk26' @ '#sk866' @ X0))),
967.30/123.05	    inference('sup-', [status(thm)], [zip_derived_cl1372, zip_derived_cl85])).
967.30/123.05	thf(zip_derived_cl750, plain,
967.30/123.05	    ((~ (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ (cS @ '#sk631') @ Y0))))
967.30/123.05	      | ~ (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0))))
967.30/123.05	      | ~ (((!!) @ (^[Y0 : $i]: (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1))))))))),
967.30/123.05	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl543])).
967.30/123.05	thf(zip_derived_cl757, plain,
967.30/123.05	    (![X2 : $i]:
967.30/123.05	       (~ (cR @ (cS @ '#sk26') @ (cS @ '#sk631') @ X2)
967.30/123.05	        | ~ (((!!) @ (^[Y0 : $i]:
967.30/123.05	                        (((??) @ (^[Y1 : $i]: (cR @ c0 @ Y0 @ Y1)))))))
967.30/123.05	        | ~ (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0)))))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl750])).
967.30/123.05	thf(zip_derived_cl761, plain,
967.30/123.05	    (![X2 : $i]:
967.30/123.05	       (~ (((??) @ (^[Y0 : $i]: (cR @ c0 @ '#sk29' @ Y0))))
967.30/123.05	        | ~ (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0))))
967.30/123.05	        | ~ (cR @ (cS @ '#sk26') @ (cS @ '#sk631') @ X2))),
967.30/123.05	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl757])).
967.30/123.05	thf(zip_derived_cl762, plain,
967.30/123.05	    (![X2 : $i, X4 : $i]:
967.30/123.05	       (~ (cR @ c0 @ '#sk29' @ X4)
967.30/123.05	        | ~ (cR @ (cS @ '#sk26') @ (cS @ '#sk631') @ X2)
967.30/123.05	        | ~ (((??) @ (^[Y0 : $i]: (cR @ (cS @ '#sk26') @ c0 @ Y0)))))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl761])).
967.30/123.05	thf(zip_derived_cl763, plain,
967.30/123.05	    (![X2 : $i, X4 : $i, X6 : $i]:
967.30/123.05	       (~ (cR @ (cS @ '#sk26') @ c0 @ X6)
967.30/123.05	        | ~ (cR @ (cS @ '#sk26') @ (cS @ '#sk631') @ X2)
967.30/123.05	        | ~ (cR @ c0 @ '#sk29' @ X4))),
967.30/123.05	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl762])).
967.30/123.05	thf(zip_derived_cl1430, plain,
967.30/123.05	    (![X0 : $i, X1 : $i, X2 : $i]:
967.30/123.05	       (~ (cR @ '#sk26' @ '#sk866' @ X0)
967.30/123.05	        | ~ (cR @ c0 @ '#sk29' @ X1)
967.30/123.05	        | ~ (cR @ (cS @ '#sk26') @ c0 @ X2))),
967.30/123.05	    inference('sup-', [status(thm)], [zip_derived_cl1374, zip_derived_cl763])).
967.30/123.05	thf(zip_derived_cl1455, plain,
967.30/123.05	    (![X0 : $i, X1 : $i]:
967.30/123.05	       (~ (cR @ c0 @ '#sk29' @ X0) | ~ (cR @ '#sk26' @ '#sk866' @ X1))),
967.30/123.05	    inference('sup-', [status(thm)], [zip_derived_cl317, zip_derived_cl1430])).
967.30/123.05	thf(zip_derived_cl1457, plain,
967.30/123.05	    (![X0 : $i]: ~ (cR @ '#sk26' @ '#sk866' @ X0)),
967.30/123.05	    inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1455])).
967.30/123.05	thf(zip_derived_cl1461, plain, ($false),
967.30/123.05	    inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl1457])).
967.30/123.05	
967.30/123.05	% SZS output end Refutation
967.30/123.05	
967.30/123.05	
967.30/123.05	% Terminating...
967.59/123.15	% Runner terminated.
967.62/123.17	% Zipperpin 1.5 exiting
967.62/123.17	EOF