0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.dCByJi9gWe true
0.09/0.37	% Computer : n020.cluster.edu
0.09/0.37	% Model    : x86_64 x86_64
0.09/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.37	% Memory   : 8046.5625MB
0.09/0.37	% OS       : Linux 6.8.0-71-generic
0.09/0.37	% CPULimit : 1440
0.09/0.37	% WCLimit  : 180
0.09/0.37	% DateTime : Mon Jul 27 14:24:06 UTC 2026
0.09/0.37	% CPUTime  : 
0.09/0.37	% Running portfolio for 1440 s
0.09/0.37	% File         : /export/starexec/sandbox/benchmark/theBenchmark.p
0.09/0.37	% Number of cores: 8
0.09/0.38	% Python version: Python 3.12.3
0.09/0.38	% Running in HO mode
0.44/0.67	% Total configuration time : 828
0.44/0.67	% Estimated wc time : 1656
0.44/0.67	% Estimated cpu time (8 cpus) : 207.0
0.48/0.74	% /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
0.49/0.80	% /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
0.49/0.81	% /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
0.49/0.81	% /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
0.49/0.81	% /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
0.49/0.81	% /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
0.49/0.81	% /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
0.49/0.81	% /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
56.92/7.85	% Solved by lams/20_acsne_simpl.sh.
56.92/7.85	% done 112 iterations in 6.981s
56.92/7.85	% SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
56.92/7.85	% SZS output start Refutation
56.92/7.85	thf(a_type, type, a: $tType).
56.92/7.85	thf('#sk69_type', type, '#sk69': (a > $o) > a).
56.92/7.85	thf('#sk58_type', type, '#sk58': a > a > $o).
56.92/7.85	thf('#_fresh_sk15_type', type, '#_fresh_sk15': (a > a > $o) > a > $o).
56.92/7.85	thf('#sk1_type', type, '#sk1': (a > $o) > $o).
56.92/7.85	thf('#sk12_type', type, '#sk12': (a > $o) > (a > $o) > a).
56.92/7.85	thf(cTHM262_D_EXT_pme, conjecture,
56.92/7.85	  (( ![Xp:( a > $o ),Xa:( a > $o )]:
56.92/7.85	     ( ( ![Xb:a]: ( ( Xp @ Xb ) <=> ( Xa @ Xb ) ) ) =>
56.92/7.85	       ( ![P:( ( a > $o ) > $o )]: ( ( P @ Xp ) => ( P @ Xa ) ) ) ) ) =>
56.92/7.85	   ( ![P:( ( a > $o ) > $o )]:
56.92/7.85	     ( ( ( ![Xx:a]: ( ?[Xp:( a > $o )]: ( ( Xp @ Xx ) & ( P @ Xp ) ) ) ) & 
56.92/7.85	         ( ![Xx:a,Xy:a,Xp:( a > $o ),Xq:( a > $o )]:
56.92/7.85	           ( ( ( Xp @ Xx ) & ( Xq @ Xx ) & ( Xp @ Xy ) & ( P @ Xq ) & 
56.92/7.85	               ( P @ Xp ) ) =>
56.92/7.85	             ( Xq @ Xy ) ) ) & 
56.92/7.85	         ( ![Xp:( a > $o )]: ( ( P @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) ) =>
56.92/7.85	       ( ?[Q:( a > a > $o )]:
56.92/7.85	         ( ( ^[Xs:( a > $o )]:
56.92/7.85	             ( ( ![Xx:a]:
56.92/7.85	                 ( ( Xs @ Xx ) =>
56.92/7.85	                   ( ![Xy:a]: ( ( Xs @ Xy ) <=> ( Q @ Xx @ Xy ) ) ) ) ) & 
56.92/7.85	               ( ?[Xz:a]: ( Xs @ Xz ) ) ) ) =
56.92/7.85	           ( P ) ) ) ) ))).
56.92/7.85	thf(zf_stmt_0, negated_conjecture,
56.92/7.85	  (~( ( ![Xp:( a > $o ),Xa:( a > $o )]:
56.92/7.85	        ( ( ![Xb:a]: ( ( Xp @ Xb ) <=> ( Xa @ Xb ) ) ) =>
56.92/7.85	          ( ![P:( ( a > $o ) > $o )]: ( ( P @ Xp ) => ( P @ Xa ) ) ) ) ) =>
56.92/7.85	      ( ![P:( ( a > $o ) > $o )]:
56.92/7.85	        ( ( ( ![Xx:a]: ( ?[Xp:( a > $o )]: ( ( Xp @ Xx ) & ( P @ Xp ) ) ) ) & 
56.92/7.85	            ( ![Xx:a,Xy:a,Xp:( a > $o ),Xq:( a > $o )]:
56.92/7.85	              ( ( ( Xp @ Xx ) & ( Xq @ Xx ) & ( Xp @ Xy ) & ( P @ Xq ) & 
56.92/7.85	                  ( P @ Xp ) ) =>
56.92/7.85	                ( Xq @ Xy ) ) ) & 
56.92/7.85	            ( ![Xp:( a > $o )]: ( ( P @ Xp ) => ( ?[Xz:a]: ( Xp @ Xz ) ) ) ) ) =>
56.92/7.85	          ( ?[Q:( a > a > $o )]:
56.92/7.85	            ( ( ^[Xs:( a > $o )]:
56.92/7.85	                ( ( ![Xx:a]:
56.92/7.85	                    ( ( Xs @ Xx ) =>
56.92/7.85	                      ( ![Xy:a]: ( ( Xs @ Xy ) <=> ( Q @ Xx @ Xy ) ) ) ) ) & 
56.92/7.85	                  ( ?[Xz:a]: ( Xs @ Xz ) ) ) ) =
56.92/7.85	              ( P ) ) ) ) ) )),
56.92/7.85	  inference('cnf.neg', [status(esa)], [cTHM262_D_EXT_pme])).
56.92/7.85	thf(zip_derived_cl0, plain,
56.92/7.85	    (~ (((((!!) @ (^[Y0 : a > $o]:
56.92/7.85	                     (((!!) @ (^[Y1 : a > $o]:
56.92/7.85	                                 (((((!!) @ (^[Y2 : a]:
56.92/7.85	                                               (((Y0 @ Y2) <=> (Y1 @ Y2)))))) =>
56.92/7.85	                                   (((!!) @ (^[Y2 : (a > $o) > $o]:
56.92/7.85	                                               (((Y2 @ Y0) => (Y2 @ Y1)))))))))))))) =>
56.92/7.85	         (((!!) @ (^[Y0 : (a > $o) > $o]:
56.92/7.85	                     (((((((!!) @ (^[Y1 : a]:
56.92/7.85	                                     (((??) @ (^[Y2 : a > $o]:
56.92/7.85	                                                 (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 
56.92/7.85	                         (((!!) @ (^[Y1 : a]:
56.92/7.85	                                     (((!!) @ (^[Y2 : a]:
56.92/7.85	                                                 (((!!) @ (^[Y3 : a > $o]:
56.92/7.85	                                                             (((!!) @ (
56.92/7.85	                                                               ^[Y4 : a > $o]:
56.92/7.85	                                                                 ((((
56.92/7.85	                                                                   (Y3 @ Y1) & 
56.92/7.85	                                                                   (Y4 @ Y1) & 
56.92/7.85	                                                                   (Y3 @ Y2) & 
56.92/7.85	                                                                   (Y0 @ Y4) & 
56.92/7.85	                                                                   (Y0 @ Y3))) =>
56.92/7.85	                                                                   (Y4 @ Y2))))))))))))))) & 
56.92/7.85	                         (((!!) @ (^[Y1 : a > $o]:
56.92/7.85	                                     (((Y0 @ Y1) =>
56.92/7.85	                                       (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))))) =>
56.92/7.85	                       (((??) @ (^[Y1 : a > a > $o]:
56.92/7.85	                                   ((((^[Y2 : a > $o]:
56.92/7.85	                                         (((((!!) @ (^[Y3 : a]:
56.92/7.85	                                                       (((Y2 @ Y3) =>
56.92/7.85	                                                         (((!!) @ (^[Y4 : a]:
56.92/7.85	                                                                    ((
56.92/7.85	                                                                    (Y2 @ 
56.92/7.85	                                                                    Y4) <=>
56.92/7.85	                                                                    (Y1 @ 
56.92/7.85	                                                                    Y3 @ Y4))))))))))) &
56.92/7.85	                                           (((??) @ (^[Y3 : a]: (Y2 @ Y3)))))))) =
56.92/7.85	                                     (Y0)))))))))))))),
56.92/7.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
56.92/7.85	thf(zip_derived_cl2, plain,
56.92/7.85	    (~ (((!!) @ (^[Y0 : (a > $o) > $o]:
56.92/7.85	                   (((((((!!) @ (^[Y1 : a]:
56.92/7.85	                                   (((??) @ (^[Y2 : a > $o]:
56.92/7.85	                                               (((Y2 @ Y1) & (Y0 @ Y2))))))))) & 
56.92/7.85	                       (((!!) @ (^[Y1 : a]:
56.92/7.85	                                   (((!!) @ (^[Y2 : a]:
56.92/7.85	                                               (((!!) @ (^[Y3 : a > $o]:
56.92/7.85	                                                           (((!!) @ (
56.92/7.85	                                                             ^[Y4 : a > $o]:
56.92/7.85	                                                               (((((Y3 @ Y1) & 
56.92/7.85	                                                                   (Y4 @ Y1) & 
56.92/7.85	                                                                   (Y3 @ Y2) & 
56.92/7.85	                                                                   (Y0 @ Y4) & 
56.92/7.85	                                                                   (Y0 @ Y3))) =>
56.92/7.85	                                                                 (Y4 @ Y2))))))))))))))) & 
56.92/7.85	                       (((!!) @ (^[Y1 : a > $o]:
56.92/7.85	                                   (((Y0 @ Y1) =>
56.92/7.85	                                     (((??) @ (^[Y2 : a]: (Y1 @ Y2))))))))))) =>
56.92/7.85	                     (((??) @ (^[Y1 : a > a > $o]:
56.92/7.85	                                 ((((^[Y2 : a > $o]:
56.92/7.85	                                       (((((!!) @ (^[Y3 : a]:
56.92/7.85	                                                     (((Y2 @ Y3) =>
56.92/7.85	                                                       (((!!) @ (^[Y4 : a]:
56.92/7.85	                                                                   ((
56.92/7.85	                                                                    (Y2 @ 
56.92/7.85	                                                                    Y4) <=>
56.92/7.85	                                                                    (Y1 @ 
56.92/7.85	                                                                    Y3 @ Y4))))))))))) &
56.92/7.85	                                         (((??) @ (^[Y3 : a]: (Y2 @ Y3)))))))) =
56.92/7.85	                                   (Y0)))))))))))),
56.92/7.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
56.92/7.85	thf(zip_derived_cl4, plain,
56.92/7.85	    (~ (((((((!!) @ (^[Y0 : a]:
56.92/7.85	                       (((??) @ (^[Y1 : a > $o]:
56.92/7.85	                                   (((Y1 @ Y0) & ('#sk1' @ Y1))))))))) & 
56.92/7.85	           (((!!) @ (^[Y0 : a]:
56.92/7.85	                       (((!!) @ (^[Y1 : a]:
56.92/7.85	                                   (((!!) @ (^[Y2 : a > $o]:
56.92/7.85	                                               (((!!) @ (^[Y3 : a > $o]:
56.92/7.85	                                                           (((((Y2 @ Y0) & 
56.92/7.85	                                                               (Y3 @ Y0) & 
56.92/7.85	                                                               (Y2 @ Y1) & 
56.92/7.85	                                                               ('#sk1' @ Y3) & 
56.92/7.85	                                                               ('#sk1' @ Y2))) =>
56.92/7.85	                                                             (Y3 @ Y1))))))))))))))) & 
56.92/7.85	           (((!!) @ (^[Y0 : a > $o]:
56.92/7.85	                       ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))))) =>
56.92/7.85	         (((??) @ (^[Y0 : a > a > $o]:
56.92/7.85	                     ((((^[Y1 : a > $o]:
56.92/7.85	                           (((((!!) @ (^[Y2 : a]:
56.92/7.85	                                         (((Y1 @ Y2) =>
56.92/7.85	                                           (((!!) @ (^[Y3 : a]:
56.92/7.85	                                                       (((Y1 @ Y3) <=> (Y0 @ 
56.92/7.85	                                                         Y2 @ Y3))))))))))) &
56.92/7.85	                             (((??) @ (^[Y2 : a]: (Y1 @ Y2)))))))) =
56.92/7.85	                       ('#sk1'))))))))),
56.92/7.85	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
56.92/7.85	thf(zip_derived_cl6, plain,
56.92/7.85	    ( (((((!!) @ (^[Y0 : a]:
56.92/7.85	                    (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk1' @ Y1))))))))) & 
56.92/7.85	        (((!!) @ (^[Y0 : a]:
56.92/7.85	                    (((!!) @ (^[Y1 : a]:
56.92/7.85	                                (((!!) @ (^[Y2 : a > $o]:
56.92/7.85	                                            (((!!) @ (^[Y3 : a > $o]:
56.92/7.85	                                                        (((((Y2 @ Y0) & 
56.92/7.85	                                                            (Y3 @ Y0) & 
56.92/7.85	                                                            (Y2 @ Y1) & 
56.92/7.85	                                                            ('#sk1' @ Y3) & 
56.92/7.85	                                                            ('#sk1' @ Y2))) =>
56.92/7.85	                                                          (Y3 @ Y1))))))))))))))) & 
56.92/7.85	        (((!!) @ (^[Y0 : a > $o]:
56.92/7.85	                    ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))))),
56.92/7.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
56.92/7.85	thf(zip_derived_cl10, plain,
56.92/7.85	    ( (((!!) @ (^[Y0 : a]:
56.92/7.85	                  (((!!) @ (^[Y1 : a]:
56.92/7.85	                              (((!!) @ (^[Y2 : a > $o]:
56.92/7.85	                                          (((!!) @ (^[Y3 : a > $o]:
56.92/7.85	                                                      (((((Y2 @ Y0) & 
56.92/7.85	                                                          (Y3 @ Y0) & 
56.92/7.85	                                                          (Y2 @ Y1) & 
56.92/7.85	                                                          ('#sk1' @ Y3) & 
56.92/7.85	                                                          ('#sk1' @ Y2))) =>
56.92/7.85	                                                        (Y3 @ Y1)))))))))))))))),
56.92/7.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])).
56.92/7.85	thf(zip_derived_cl15, plain,
56.92/7.85	    (![X2 : a]:
56.92/7.85	        (((!!) @ (^[Y0 : a]:
56.92/7.85	                    (((!!) @ (^[Y1 : a > $o]:
56.92/7.85	                                (((!!) @ (^[Y2 : a > $o]:
56.92/7.85	                                            (((((Y1 @ X2) & (Y2 @ X2) & 
56.92/7.85	                                                (Y1 @ Y0) & ('#sk1' @ Y2) & 
56.92/7.85	                                                ('#sk1' @ Y1))) =>
56.92/7.85	                                              (Y2 @ Y0))))))))))))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])).
56.92/7.85	thf(zip_derived_cl27, plain,
56.92/7.85	    (![X2 : a, X4 : a]:
56.92/7.85	        (((!!) @ (^[Y0 : a > $o]:
56.92/7.85	                    (((!!) @ (^[Y1 : a > $o]:
56.92/7.85	                                (((((Y0 @ X2) & (Y1 @ X2) & (Y0 @ X4) & 
56.92/7.85	                                    ('#sk1' @ Y1) & ('#sk1' @ Y0))) =>
56.92/7.85	                                  (Y1 @ X4)))))))))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])).
56.92/7.85	thf(zip_derived_cl32, plain,
56.92/7.85	    (![X2 : a, X4 : a, X6 : a > $o]:
56.92/7.85	        (((!!) @ (^[Y0 : a > $o]:
56.92/7.85	                    (((((X6 @ X2) & (Y0 @ X2) & (X6 @ X4) & ('#sk1' @ Y0) & 
56.92/7.85	                        ('#sk1' @ X6))) =>
56.92/7.85	                      (Y0 @ X4))))))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])).
56.92/7.85	thf(zip_derived_cl35, plain,
56.92/7.85	    (![X2 : a, X4 : a, X6 : a > $o, X8 : a > $o]:
56.92/7.85	        (((((X6 @ X2) & (X8 @ X2) & (X6 @ X4) & ('#sk1' @ X8) & ('#sk1' @ X6))) =>
56.92/7.85	          (X8 @ X4)))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl32])).
56.92/7.85	thf(zip_derived_cl36, plain,
56.92/7.85	    (![X0 : a, X1 : a, X2 : a > $o, X3 : a]:
56.92/7.85	        (((((X2 @ X3) & ('#sk58' @ X0 @ X3) & (X2 @ X1) & 
56.92/7.85	            ('#sk1' @ ('#sk58' @ X0)) & ('#sk1' @ X2))) =>
56.92/7.85	          ('#sk58' @ X0 @ X1)))),
56.92/7.85	    inference('triggered_bool_instantiation', [status(thm)],
56.92/7.85	              [zip_derived_cl35])).
56.92/7.85	thf(zip_derived_cl9, plain,
56.92/7.85	    ( (((!!) @ (^[Y0 : a]:
56.92/7.85	                  (((??) @ (^[Y1 : a > $o]: (((Y1 @ Y0) & ('#sk1' @ Y1)))))))))),
56.92/7.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])).
56.92/7.85	thf(zip_derived_cl14, plain,
56.92/7.85	    (![X2 : a]:  (((??) @ (^[Y0 : a > $o]: (((Y0 @ X2) & ('#sk1' @ Y0))))))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl9])).
56.92/7.85	thf(zip_derived_cl26, plain,
56.92/7.85	    (![X2 : a]:  ((('#sk58' @ X2 @ X2) & ('#sk1' @ ('#sk58' @ X2))))),
56.92/7.85	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl14])).
56.92/7.85	thf(zip_derived_cl31, plain, (![X2 : a]:  ('#sk1' @ ('#sk58' @ X2))),
56.92/7.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])).
56.92/7.85	thf(zip_derived_cl77, plain,
56.92/7.85	    (![X0 : a, X1 : a, X2 : a > $o, X3 : a]:
56.92/7.85	        (((((X2 @ X3) & ('#sk58' @ X0 @ X3) & (X2 @ X1) & ($true) & 
56.92/7.85	            ('#sk1' @ X2))) =>
56.92/7.85	          ('#sk58' @ X0 @ X1)))),
56.92/7.85	    inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl31])).
56.92/7.85	thf(zip_derived_cl78, plain,
56.92/7.85	    (![X0 : a, X1 : a, X2 : a > $o, X3 : a]:
56.92/7.85	        ((((('#sk1' @ X2) & (X2 @ X1) & ('#sk58' @ X0 @ X3) & (X2 @ X3))) =>
56.92/7.85	          ('#sk58' @ X0 @ X1)))),
56.92/7.85	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl77])).
56.92/7.85	thf(zip_derived_cl79, plain,
56.92/7.85	    (![X0 : a, X1 : a, X2 : a > $o, X3 : a]:
56.92/7.85	       (~ ((('#sk1' @ X2) & (X2 @ X1) & ('#sk58' @ X0 @ X3) & (X2 @ X3)))
56.92/7.85	        |  ('#sk58' @ X0 @ X1))),
56.92/7.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl78])).
56.92/7.85	thf(zip_derived_cl80, plain,
56.92/7.85	    (![X0 : a, X1 : a, X2 : a > $o, X3 : a]:
56.92/7.85	       (~ ('#sk1' @ X2)
56.92/7.85	        | ~ (X2 @ X1)
56.92/7.85	        | ~ ('#sk58' @ X0 @ X3)
56.92/7.85	        | ~ (X2 @ X3)
56.92/7.85	        |  ('#sk58' @ X0 @ X1))),
56.92/7.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl79])).
56.92/7.85	thf(zip_derived_cl30, plain, (![X2 : a]:  ('#sk58' @ X2 @ X2)),
56.92/7.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])).
56.92/7.85	thf(zip_derived_cl11, plain,
56.92/7.85	    ( (((!!) @ (^[Y0 : a > $o]:
56.92/7.85	                  ((('#sk1' @ Y0) => (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))))),
56.92/7.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl6])).
56.92/7.85	thf(zip_derived_cl16, plain,
56.92/7.85	    (![X2 : a > $o]:  ((('#sk1' @ X2) => (((??) @ (^[Y0 : a]: (X2 @ Y0))))))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])).
56.92/7.85	thf(zip_derived_cl28, plain,
56.92/7.85	    (![X2 : a > $o]: (~ ('#sk1' @ X2) |  (((??) @ (^[Y0 : a]: (X2 @ Y0)))))),
56.92/7.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl16])).
56.92/7.85	thf(zip_derived_cl34, plain,
56.92/7.85	    (![X2 : a > $o]: ( (X2 @ ('#sk69' @ X2)) | ~ ('#sk1' @ X2))),
56.92/7.85	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])).
56.92/7.85	thf(zip_derived_cl32, plain,
56.92/7.85	    (![X2 : a, X4 : a, X6 : a > $o]:
56.92/7.85	        (((!!) @ (^[Y0 : a > $o]:
56.92/7.85	                    (((((X6 @ X2) & (Y0 @ X2) & (X6 @ X4) & ('#sk1' @ Y0) & 
56.92/7.85	                        ('#sk1' @ X6))) =>
56.92/7.85	                      (Y0 @ X4))))))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl27])).
56.92/7.85	thf(zip_derived_cl33, plain,
56.92/7.85	    (![X0 : a, X1 : a, X2 : a]:
56.92/7.85	        (((!!) @ (^[Y0 : a > $o]:
56.92/7.85	                    ((((('#sk58' @ X1 @ X2) & (Y0 @ X2) & 
56.92/7.85	                        ('#sk58' @ X1 @ X0) & ('#sk1' @ Y0) & 
56.92/7.85	                        ('#sk1' @ ('#sk58' @ X1)))) =>
56.92/7.85	                      (Y0 @ X0))))))),
56.92/7.85	    inference('triggered_bool_instantiation', [status(thm)],
56.92/7.85	              [zip_derived_cl32])).
56.92/7.85	thf(zip_derived_cl164, plain,
56.92/7.85	    (![X0 : a, X1 : a, X2 : a, X4 : a > $o]:
56.92/7.85	        ((((('#sk58' @ X1 @ X2) & (X4 @ X2) & ('#sk58' @ X1 @ X0) & 
56.92/7.85	            ('#sk1' @ X4) & ('#sk1' @ ('#sk58' @ X1)))) =>
56.92/7.85	          (X4 @ X0)))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl33])).
56.92/7.85	thf(zip_derived_cl31, plain, (![X2 : a]:  ('#sk1' @ ('#sk58' @ X2))),
56.92/7.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])).
56.92/7.85	thf(zip_derived_cl169, plain,
56.92/7.85	    (![X0 : a, X1 : a, X2 : a, X4 : a > $o]:
56.92/7.85	        ((((('#sk58' @ X1 @ X2) & (X4 @ X2) & ('#sk58' @ X1 @ X0) & 
56.92/7.85	            ('#sk1' @ X4) & ($true))) =>
56.92/7.85	          (X4 @ X0)))),
56.92/7.85	    inference('demod', [status(thm)], [zip_derived_cl164, zip_derived_cl31])).
56.92/7.85	thf(zip_derived_cl170, plain,
56.92/7.85	    (![X0 : a, X1 : a, X2 : a, X4 : a > $o]:
56.92/7.85	        ((((('#sk58' @ X1 @ X0) & ('#sk58' @ X1 @ X2) & (X4 @ X2) & 
56.92/7.85	            ('#sk1' @ X4))) =>
56.92/7.85	          (X4 @ X0)))),
56.92/7.85	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl169])).
56.92/7.85	thf(zip_derived_cl171, plain,
56.92/7.85	    (![X0 : a, X1 : a, X2 : a, X4 : a > $o]:
56.92/7.85	       (~ ((('#sk58' @ X1 @ X0) & ('#sk58' @ X1 @ X2) & (X4 @ X2) & 
56.92/7.85	            ('#sk1' @ X4)))
56.92/7.85	        |  (X4 @ X0))),
56.92/7.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl170])).
56.92/7.85	thf(zip_derived_cl172, plain,
56.92/7.85	    (![X0 : a, X1 : a, X2 : a, X4 : a > $o]:
56.92/7.85	       (~ ('#sk58' @ X1 @ X0)
56.92/7.85	        | ~ ('#sk58' @ X1 @ X2)
56.92/7.85	        | ~ (X4 @ X2)
56.92/7.85	        | ~ ('#sk1' @ X4)
56.92/7.85	        |  (X4 @ X0))),
56.92/7.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl171])).
56.92/7.85	thf(zip_derived_cl1, plain,
56.92/7.85	    ( (((!!) @ (^[Y0 : a > $o]:
56.92/7.85	                  (((!!) @ (^[Y1 : a > $o]:
56.92/7.85	                              (((((!!) @ (^[Y2 : a]:
56.92/7.85	                                            (((Y0 @ Y2) <=> (Y1 @ Y2)))))) =>
56.92/7.85	                                (((!!) @ (^[Y2 : (a > $o) > $o]:
56.92/7.85	                                            (((Y2 @ Y0) => (Y2 @ Y1))))))))))))))),
56.92/7.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl0])).
56.92/7.85	thf(zip_derived_cl3, plain,
56.92/7.85	    (![X2 : a > $o]:
56.92/7.85	        (((!!) @ (^[Y0 : a > $o]:
56.92/7.85	                    (((((!!) @ (^[Y1 : a]: (((X2 @ Y1) <=> (Y0 @ Y1)))))) =>
56.92/7.85	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
56.92/7.85	                                  (((Y1 @ X2) => (Y1 @ Y0)))))))))))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])).
56.92/7.85	thf(zip_derived_cl25, plain,
56.92/7.85	    (![X0 : a]:
56.92/7.85	        (((!!) @ (^[Y0 : a > $o]:
56.92/7.85	                    (((((!!) @ (^[Y1 : a]:
56.92/7.85	                                  ((('#sk58' @ X0 @ Y1) <=> (Y0 @ Y1)))))) =>
56.92/7.85	                      (((!!) @ (^[Y1 : (a > $o) > $o]:
56.92/7.85	                                  (((Y1 @ ('#sk58' @ X0)) => (Y1 @ Y0)))))))))))),
56.92/7.85	    inference('triggered_bool_instantiation', [status(thm)],
56.92/7.85	              [zip_derived_cl3])).
56.92/7.85	thf(zip_derived_cl91, plain,
56.92/7.85	    (![X0 : a, X2 : a > $o]:
56.92/7.85	        (((((!!) @ (^[Y0 : a]: ((('#sk58' @ X0 @ Y0) <=> (X2 @ Y0)))))) =>
56.92/7.85	          (((!!) @ (^[Y0 : (a > $o) > $o]:
56.92/7.85	                      (((Y0 @ ('#sk58' @ X0)) => (Y0 @ X2))))))))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])).
56.92/7.85	thf(zip_derived_cl96, plain,
56.92/7.85	    (![X0 : a, X2 : a > $o]:
56.92/7.85	       (~ (((!!) @ (^[Y0 : a]: ((('#sk58' @ X0 @ Y0) <=> (X2 @ Y0))))))
56.92/7.85	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
56.92/7.85	                       (((Y0 @ ('#sk58' @ X0)) => (Y0 @ X2)))))))),
56.92/7.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl91])).
56.92/7.85	thf(zip_derived_cl97, plain,
56.92/7.85	    (![X0 : a, X2 : a > $o]:
56.92/7.85	       (~ ((('#sk58' @ X0 @ ('#sk12' @ ('#sk58' @ X0) @ X2)) <=> (X2 @ 
56.92/7.85	            ('#sk12' @ ('#sk58' @ X0) @ X2))))
56.92/7.85	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
56.92/7.85	                       (((Y0 @ ('#sk58' @ X0)) => (Y0 @ X2)))))))),
56.92/7.85	    inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl96])).
56.92/7.85	thf(zip_derived_cl98, plain,
56.92/7.85	    (![X0 : a, X2 : a > $o]:
56.92/7.85	       ((('#sk58' @ X0 @ ('#sk12' @ ('#sk58' @ X0) @ X2))
56.92/7.85	          != (X2 @ ('#sk12' @ ('#sk58' @ X0) @ X2)))
56.92/7.85	        |  (((!!) @ (^[Y0 : (a > $o) > $o]:
56.92/7.85	                       (((Y0 @ ('#sk58' @ X0)) => (Y0 @ X2)))))))),
56.92/7.85	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl97])).
56.92/7.85	thf(zip_derived_cl99, plain,
56.92/7.85	    (![X0 : a, X2 : a > $o, X4 : (a > $o) > $o]:
56.92/7.85	       ( (((X4 @ ('#sk58' @ X0)) => (X4 @ X2)))
56.92/7.85	        | (('#sk58' @ X0 @ ('#sk12' @ ('#sk58' @ X0) @ X2))
56.92/7.85	            != (X2 @ ('#sk12' @ ('#sk58' @ X0) @ X2))))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl98])).
56.92/7.85	thf(zip_derived_cl100, plain,
56.92/7.85	    (![X0 : a > $o, X1 : a]:
56.92/7.85	       ( ((('#sk1' @ ('#sk58' @ X1)) => ('#sk1' @ X0)))
56.92/7.85	        | (('#sk58' @ X1 @ ('#sk12' @ ('#sk58' @ X1) @ X0))
56.92/7.85	            != (X0 @ ('#sk12' @ ('#sk58' @ X1) @ X0))))),
56.92/7.85	    inference('triggered_bool_instantiation', [status(thm)],
56.92/7.85	              [zip_derived_cl99])).
56.92/7.85	thf(zip_derived_cl31, plain, (![X2 : a]:  ('#sk1' @ ('#sk58' @ X2))),
56.92/7.85	    inference('lazy_cnf_and', [status(thm)], [zip_derived_cl26])).
56.92/7.85	thf(zip_derived_cl154, plain,
56.92/7.85	    (![X0 : a > $o, X1 : a]:
56.92/7.85	       ( ((($true) => ('#sk1' @ X0)))
56.92/7.85	        | (('#sk58' @ X1 @ ('#sk12' @ ('#sk58' @ X1) @ X0))
56.92/7.85	            != (X0 @ ('#sk12' @ ('#sk58' @ X1) @ X0))))),
56.92/7.85	    inference('demod', [status(thm)], [zip_derived_cl100, zip_derived_cl31])).
56.92/7.85	thf(zip_derived_cl155, plain,
56.92/7.85	    (![X0 : a > $o, X1 : a]:
56.92/7.85	       ( ('#sk1' @ X0)
56.92/7.85	        | (('#sk58' @ X1 @ ('#sk12' @ ('#sk58' @ X1) @ X0))
56.92/7.85	            != (X0 @ ('#sk12' @ ('#sk58' @ X1) @ X0))))),
56.92/7.85	    inference('simplify boolean subterms', [status(thm)], [zip_derived_cl154])).
56.92/7.85	thf(zip_derived_cl7, plain,
56.92/7.85	    (~ (((??) @ (^[Y0 : a > a > $o]:
56.92/7.85	                   ((((^[Y1 : a > $o]:
56.92/7.85	                         (((((!!) @ (^[Y2 : a]:
56.92/7.85	                                       (((Y1 @ Y2) =>
56.92/7.85	                                         (((!!) @ (^[Y3 : a]:
56.92/7.85	                                                     (((Y1 @ Y3) <=> (Y0 @ 
56.92/7.85	                                                       Y2 @ Y3))))))))))) &
56.92/7.85	                           (((??) @ (^[Y2 : a]: (Y1 @ Y2)))))))) =
56.92/7.85	                     ('#sk1'))))))),
56.92/7.85	    inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
56.92/7.85	thf(zip_derived_cl12, plain,
56.92/7.85	    (![X2 : a > a > $o]:
56.92/7.85	       ~ ((((^[Y0 : a > $o]:
56.92/7.85	               (((((!!) @ (^[Y1 : a]:
56.92/7.85	                             (((Y0 @ Y1) =>
56.92/7.85	                               (((!!) @ (^[Y2 : a]:
56.92/7.85	                                           (((Y0 @ Y2) <=> (X2 @ Y1 @ Y2))))))))))) &
56.92/7.85	                 (((??) @ (^[Y1 : a]: (Y0 @ Y1)))))))) =
56.92/7.85	           ('#sk1')))),
56.92/7.85	    inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl7])).
56.92/7.85	thf(zip_derived_cl17, plain,
56.92/7.85	    (![X2 : a > a > $o]:
56.92/7.85	       (((^[Y0 : a > $o]:
56.92/7.85	            (((((!!) @ (^[Y1 : a]:
56.92/7.85	                          (((Y0 @ Y1) =>
56.92/7.85	                            (((!!) @ (^[Y2 : a]:
56.92/7.85	                                        (((Y0 @ Y2) <=> (X2 @ Y1 @ Y2))))))))))) &
56.92/7.85	              (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))))
56.92/7.85	         != ('#sk1'))),
56.92/7.85	    inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])).
56.92/7.85	thf(zip_derived_cl18, plain,
56.92/7.85	    (![X2 : a > a > $o]:
56.92/7.85	       (((^[Y0 : a > $o]:
56.92/7.85	            (((((!!) @ (^[Y1 : a]:
56.92/7.85	                          (((Y0 @ Y1) =>
56.92/7.85	                            (((!!) @ (^[Y2 : a]:
56.92/7.85	                                        (((Y0 @ Y2) <=> (X2 @ Y1 @ Y2))))))))))) &
56.92/7.85	              (((??) @ (^[Y1 : a]: (Y0 @ Y1))))))) @ 
56.92/7.85	         ('#_fresh_sk15' @ X2)) != ('#sk1' @ ('#_fresh_sk15' @ X2)))),
56.92/7.85	    inference('neg_ext_simpl', [status(thm)], [zip_derived_cl17])).
56.92/7.85	thf(zip_derived_cl19, plain,
56.92/7.85	    (![X2 : a > a > $o]:
56.92/7.85	       ((((((!!) @ (^[Y0 : a]:
56.92/7.85	                      ((('#_fresh_sk15' @ X2 @ Y0) =>
56.92/7.85	                        (((!!) @ (^[Y1 : a]:
56.92/7.85	                                    ((('#_fresh_sk15' @ X2 @ Y1) <=> (X2 @ 
56.92/7.85	                                      Y0 @ Y1))))))))))) &
56.92/7.85	          (((??) @ (^[Y0 : a]: ('#_fresh_sk15' @ X2 @ Y0))))))
56.92/7.85	         != ('#sk1' @ ('#_fresh_sk15' @ X2)))),
56.92/7.85	    inference('ho_norm', [status(thm)], [zip_derived_cl18])).
56.92/7.85	thf(zip_derived_cl5298, plain, ($false),
56.92/7.85	    inference('eprover', [status(thm)],
56.92/7.85	              [zip_derived_cl80, zip_derived_cl30, zip_derived_cl34, 
56.92/7.85	               zip_derived_cl172, zip_derived_cl155, zip_derived_cl19])).
56.92/7.85	
56.92/7.85	% SZS output end Refutation
56.92/7.85	
56.92/7.85	
56.92/7.85	% Terminating...
56.92/7.90	% Runner terminated.
8.51/7.93	% Zipperpin 1.5 exiting
8.51/7.93	EOF