%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV293^5 : TPTP v9.2.0. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.H9fIQZs4h0 true
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:57:31 PM UTC 2025
% Result : Theorem 4.15s 1.25s
% Output : Refutation 4.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEV293^5 : TPTP v9.2.0. Bugfixed v6.2.0.
% 0.08/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.H9fIQZs4h0 true
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Wed Oct 1 15:40:23 EDT 2025
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % Running portfolio for 300 s
% 0.15/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in HO mode
% 0.57/0.68 % Total configuration time : 828
% 0.57/0.68 % Estimated wc time : 1656
% 0.57/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.76 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.81 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 4.15/1.25 % Solved by lams/35_full_unif4.sh.
% 4.15/1.25 % done 294 iterations in 0.457s
% 4.15/1.25 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.15/1.25 % SZS output start Refutation
% 4.15/1.25 thf('#sk3_type', type, '#sk3': $i > $i).
% 4.15/1.25 thf('#form6_type', type, '#form6': $o).
% 4.15/1.25 thf(cONE_type, type, cONE: ($i > $o) > $o).
% 4.15/1.25 thf(cZERO_type, type, cZERO: ($i > $o) > $o).
% 4.15/1.25 thf('#sk4_type', type, '#sk4': $i > $i).
% 4.15/1.25 thf('#sk2_type', type, '#sk2': $i).
% 4.15/1.25 thf(cSUCC_type, type, cSUCC: (($i > $o) > $o) > ($i > $o) > $o).
% 4.15/1.25 thf('#sk1_type', type, '#sk1': $i > $o).
% 4.15/1.25 thf('#sk5_type', type, '#sk5': $i).
% 4.15/1.25 thf(cONE_def, axiom,(( cONE ) = (cSUCC @ cZERO))).
% 4.15/1.25 thf(cZERO_def, axiom,(( cZERO ) =
% 4.15/1.25 (^[Xp:( $i > $o )]: ( ~( ?[Xx:$i]: ( Xp @ Xx ) ) )))).
% 4.15/1.25 thf('0', plain,
% 4.15/1.25 (( cZERO ) = ( ^[Xp:( $i > $o )]: ( ~( ?[Xx:$i]: ( Xp @ Xx ) ) ) )),
% 4.15/1.25 inference('simplify_rw_rule', [status(thm)], [cZERO_def])).
% 4.15/1.25 thf('1', plain,
% 4.15/1.25 (( cZERO ) = ( ^[V_1:( $i > $o )]: ( ~( ?[X4:$i]: ( V_1 @ X4 ) ) ) )),
% 4.15/1.25 define([status(thm)])).
% 4.15/1.25 thf('2', plain, (( cONE ) = ( cSUCC @ cZERO )),
% 4.15/1.25 inference('simplify_rw_rule', [status(thm)], [cONE_def, '1'])).
% 4.15/1.25 thf('3', plain, (( cONE ) = ( cSUCC @ cZERO )), define([status(thm)])).
% 4.15/1.25 thf(cSUCC_def, axiom,(( cSUCC ) =
% 4.15/1.25 (^[Xn:( ( $i > $o ) > $o ),Xp:( $i > $o )]:
% 4.15/1.25 ( ?[Xx:$i]:
% 4.15/1.25 ( ( Xn @ ( ^[Xt:$i]: ( ( ( Xt ) != ( Xx ) ) & ( Xp @ Xt ) ) ) ) &
% 4.15/1.25 ( Xp @ Xx ) ) )))).
% 4.15/1.25 thf('4', plain,
% 4.15/1.25 (( cSUCC ) =
% 4.15/1.25 ( ^[Xn:( ( $i > $o ) > $o ),Xp:( $i > $o )]:
% 4.15/1.25 ( ?[Xx:$i]:
% 4.15/1.25 ( ( Xn @ ( ^[Xt:$i]: ( ( ( Xt ) != ( Xx ) ) & ( Xp @ Xt ) ) ) ) &
% 4.15/1.25 ( Xp @ Xx ) ) ) )),
% 4.15/1.25 inference('simplify_rw_rule', [status(thm)], [cSUCC_def])).
% 4.15/1.25 thf('5', plain,
% 4.15/1.25 (( cSUCC ) =
% 4.15/1.25 ( ^[V_1:( ( $i > $o ) > $o ),V_2:( $i > $o )]:
% 4.15/1.25 ( ?[X4:$i]:
% 4.15/1.25 ( ( V_1 @ ( ^[V_3:$i]: ( ( ( V_3 ) != ( X4 ) ) & ( V_2 @ V_3 ) ) ) ) &
% 4.15/1.25 ( V_2 @ X4 ) ) ) )),
% 4.15/1.25 define([status(thm)])).
% 4.15/1.25 thf(cX6101_pme, conjecture,
% 4.15/1.25 (( cONE ) =
% 4.15/1.25 ( ^[P:( $i > $o )]:
% 4.15/1.25 ( ?[Xy:$i]: ( ( P ) = ( ^[Xx:$i,Xy:$i]: ( ( Xx ) = ( Xy ) ) @ Xy ) ) ) ))).
% 4.15/1.25 thf(zf_stmt_0, conjecture,
% 4.15/1.25 (( ^[V_1:( $i > $o )]:
% 4.15/1.25 ( ?[X4:$i]:
% 4.15/1.25 ( ( V_1 @ X4 ) &
% 4.15/1.25 ( ~( ?[X6:$i]: ( ( V_1 @ X6 ) & ( ( X6 ) != ( X4 ) ) ) ) ) ) ) ) =
% 4.15/1.25 ( ^[V_2:( $i > $o )]:
% 4.15/1.25 ( ?[X8:$i]: ( ( V_2 ) = ( ^[V_3:$i]: ( ( X8 ) = ( V_3 ) ) ) ) ) ))).
% 4.15/1.25 thf(zf_stmt_1, negated_conjecture,
% 4.15/1.25 (( ^[V_1:( $i > $o )]:
% 4.15/1.25 ( ?[X4:$i]:
% 4.15/1.25 ( ( V_1 @ X4 ) &
% 4.15/1.25 ( ~( ?[X6:$i]: ( ( V_1 @ X6 ) & ( ( X6 ) != ( X4 ) ) ) ) ) ) ) ) !=
% 4.15/1.25 ( ^[V_2:( $i > $o )]:
% 4.15/1.25 ( ?[X8:$i]: ( ( V_2 ) = ( ^[V_3:$i]: ( ( X8 ) = ( V_3 ) ) ) ) ) )),
% 4.15/1.25 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 4.15/1.25 thf(zip_derived_cl0, plain,
% 4.15/1.25 ((((^[Y0 : $i > $o]:
% 4.15/1.25 (((??) @ (^[Y1 : $i]:
% 4.15/1.25 (((Y0 @ Y1) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y2 : $i]:
% 4.15/1.25 (((Y0 @ Y2) & (((Y2) != (Y1)))))))))))))))))
% 4.15/1.25 != ((^[Y0 : $i > $o]:
% 4.15/1.25 (((??) @ (^[Y1 : $i]:
% 4.15/1.25 (((Y0) = ((^[Y2 : $i]: (((Y1) = (Y2)))))))))))))),
% 4.15/1.25 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.15/1.25 thf(zip_derived_cl1, plain,
% 4.15/1.25 ((((^[Y0 : $i > $o]:
% 4.15/1.25 (((??) @ (^[Y1 : $i]:
% 4.15/1.25 (((Y0 @ Y1) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y2 : $i]:
% 4.15/1.25 (((Y0 @ Y2) & (((Y2) != (Y1)))))))))))))))))
% 4.15/1.25 != ((^[Y0 : $i > $o]:
% 4.15/1.25 (((??) @ (^[Y1 : $i]: (((Y0) = ((($i) = (Y1)))))))))))),
% 4.15/1.25 inference('ho_norm', [status(thm)], [zip_derived_cl0])).
% 4.15/1.25 thf(zip_derived_cl2, plain,
% 4.15/1.25 (((((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y1 : $i]:
% 4.15/1.25 ((('#sk1' @ Y1) & (((Y1) != (Y0)))))))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((((^[Y1 : $i]: ('#sk1' @ Y1))) =
% 4.15/1.25 ((^[Y1 : $i]: (((Y0) = (Y1)))))))))))),
% 4.15/1.25 inference('neg_ext', [status(thm)], [zip_derived_cl1])).
% 4.15/1.25 thf(zip_derived_cl3, plain,
% 4.15/1.25 (((((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y1 : $i]:
% 4.15/1.25 ((('#sk1' @ Y1) & (((Y1) != (Y0)))))))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('ho_norm', [status(thm)], [zip_derived_cl2])).
% 4.15/1.25 thf(zip_derived_cl5, plain,
% 4.15/1.25 ((((^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y1 : $i]:
% 4.15/1.25 ((('#sk1' @ Y1) & (((Y1) != (Y0))))))))))))) @
% 4.15/1.25 '#sk2') != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('quantifier_rw', [status(thm)], [zip_derived_cl3])).
% 4.15/1.25 thf(zip_derived_cl6, plain,
% 4.15/1.25 ((((('#sk1' @ '#sk2') &
% 4.15/1.25 (((~) @ (((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('ho_norm', [status(thm)], [zip_derived_cl5])).
% 4.15/1.25 thf(zip_derived_cl6, plain,
% 4.15/1.25 ((((('#sk1' @ '#sk2') &
% 4.15/1.25 (((~) @ (((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('ho_norm', [status(thm)], [zip_derived_cl5])).
% 4.15/1.25 thf(zip_derived_cl18, plain,
% 4.15/1.25 (( ((('#sk1' @ '#sk2') &
% 4.15/1.25 (((~) @ (((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))))))
% 4.15/1.25 | (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('eq_elim', [status(thm)], [zip_derived_cl6])).
% 4.15/1.25 thf(zip_derived_cl132, plain,
% 4.15/1.25 ((~ (((??) @ (^[Y0 : $i]: ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))
% 4.15/1.25 | (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl18])).
% 4.15/1.25 thf(zip_derived_cl134, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 (~ ((('#sk1' @ X2) & (((X2) != ('#sk2')))))
% 4.15/1.25 | (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl132])).
% 4.15/1.25 thf(zip_derived_cl136, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 (~ ('#sk1' @ X2)
% 4.15/1.25 | ~ (((X2) != ('#sk2')))
% 4.15/1.25 | (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl134])).
% 4.15/1.25 thf(zip_derived_cl137, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 (~ ('#sk1' @ X2)
% 4.15/1.25 | ((X2) = ('#sk2'))
% 4.15/1.25 | (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)],
% 4.15/1.25 [zip_derived_cl136])).
% 4.15/1.25 thf(zip_derived_cl138, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ( ((('#sk1') = ((($i) = ('#sk5')))))
% 4.15/1.25 | ((X2) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X2))),
% 4.15/1.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl137])).
% 4.15/1.25 thf(zip_derived_cl139, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ((('#sk1') = ((($i) = ('#sk5'))))
% 4.15/1.25 | ((X2) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X2))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)],
% 4.15/1.25 [zip_derived_cl138])).
% 4.15/1.25 thf(zip_derived_cl144, plain,
% 4.15/1.25 (![X2 : $i, X3 : $i]:
% 4.15/1.25 ((('#sk1' @ X3) = ((('#sk5') = (X3))))
% 4.15/1.25 | ~ ('#sk1' @ X2)
% 4.15/1.25 | ((X2) = ('#sk2')))),
% 4.15/1.25 inference('ho_complete_eq', [status(thm)], [zip_derived_cl139])).
% 4.15/1.25 thf(zip_derived_cl177, plain,
% 4.15/1.25 (![X2 : $i, X3 : $i]:
% 4.15/1.25 ( ('#sk1' @ X3)
% 4.15/1.25 | ~ ((('#sk5') = (X3)))
% 4.15/1.25 | ((X2) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X2))),
% 4.15/1.25 inference('eq_elim', [status(thm)], [zip_derived_cl144])).
% 4.15/1.25 thf(zip_derived_cl181, plain,
% 4.15/1.25 (![X2 : $i, X3 : $i]:
% 4.15/1.25 ( ('#sk1' @ X3)
% 4.15/1.25 | (('#sk5') != (X3))
% 4.15/1.25 | ((X2) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X2))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)],
% 4.15/1.25 [zip_derived_cl177])).
% 4.15/1.25 thf(zip_derived_cl182, plain,
% 4.15/1.25 (![X2 : $i]: (~ ('#sk1' @ X2) | ((X2) = ('#sk2')) | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 4.15/1.25 thf(zip_derived_cl182, plain,
% 4.15/1.25 (![X2 : $i]: (~ ('#sk1' @ X2) | ((X2) = ('#sk2')) | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 4.15/1.25 thf(zip_derived_cl182, plain,
% 4.15/1.25 (![X2 : $i]: (~ ('#sk1' @ X2) | ((X2) = ('#sk2')) | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 4.15/1.25 thf(zip_derived_cl6, plain,
% 4.15/1.25 ((((('#sk1' @ '#sk2') &
% 4.15/1.25 (((~) @ (((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('ho_norm', [status(thm)], [zip_derived_cl5])).
% 4.15/1.25 thf(zip_derived_cl20, plain,
% 4.15/1.25 (( ('#sk1' @ '#sk2')
% 4.15/1.25 | (((($false) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0))))))))))),
% 4.15/1.25 inference('bool_hoist', [status(thm)], [zip_derived_cl6])).
% 4.15/1.25 thf(zip_derived_cl21, plain,
% 4.15/1.25 (( ('#sk1' @ '#sk2')
% 4.15/1.25 | (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl20])).
% 4.15/1.25 thf(zip_derived_cl23, plain,
% 4.15/1.25 (( ((('#sk1') = ((($i) = ('#sk5'))))) | ('#sk1' @ '#sk2'))),
% 4.15/1.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl21])).
% 4.15/1.25 thf(zip_derived_cl24, plain,
% 4.15/1.25 (((('#sk1') = ((($i) = ('#sk5')))) | ('#sk1' @ '#sk2'))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])).
% 4.15/1.25 thf(zip_derived_cl26, plain,
% 4.15/1.25 (![X1 : $i]: ((('#sk1' @ X1) = ((('#sk5') = (X1)))) | ('#sk1' @ '#sk2'))),
% 4.15/1.25 inference('ho_complete_eq', [status(thm)], [zip_derived_cl24])).
% 4.15/1.25 thf(zip_derived_cl28, plain,
% 4.15/1.25 (![X1 : $i]:
% 4.15/1.25 ( ('#sk1' @ X1) | ~ ((('#sk5') = (X1))) | ('#sk1' @ '#sk2'))),
% 4.15/1.25 inference('eq_elim', [status(thm)], [zip_derived_cl26])).
% 4.15/1.25 thf(zip_derived_cl32, plain,
% 4.15/1.25 (![X1 : $i]: ( ('#sk1' @ X1) | (('#sk5') != (X1)) | ('#sk1' @ '#sk2'))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)], [zip_derived_cl28])).
% 4.15/1.25 thf(zip_derived_cl33, plain, (( ('#sk1' @ '#sk2') | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 4.15/1.25 thf(zip_derived_cl6, plain,
% 4.15/1.25 ((((('#sk1' @ '#sk2') &
% 4.15/1.25 (((~) @ (((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('ho_norm', [status(thm)], [zip_derived_cl5])).
% 4.15/1.25 thf(zip_derived_cl36, plain,
% 4.15/1.25 (((((($true) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl6])).
% 4.15/1.25 thf(zip_derived_cl38, plain,
% 4.15/1.25 ((((((~) @ (((??) @ (^[Y0 : $i]: ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl36])).
% 4.15/1.25 thf(zip_derived_cl39, plain,
% 4.15/1.25 ((((((??) @ (^[Y0 : $i]: ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))
% 4.15/1.25 = (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)], [zip_derived_cl38])).
% 4.15/1.25 thf(zip_derived_cl53, plain,
% 4.15/1.25 (((((^[Y0 : $i]: ((('#sk1' @ Y0) & (((Y0) != ('#sk2')))))) @
% 4.15/1.25 ('#sk3' @ '#sk2'))
% 4.15/1.25 = (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('quantifier_rw', [status(thm)], [zip_derived_cl39])).
% 4.15/1.25 thf(zip_derived_cl54, plain,
% 4.15/1.25 (((((('#sk1' @ ('#sk3' @ '#sk2')) & ((('#sk3' @ '#sk2') != ('#sk2')))))
% 4.15/1.25 = (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('ho_norm', [status(thm)], [zip_derived_cl53])).
% 4.15/1.25 thf(zip_derived_cl55, plain,
% 4.15/1.25 (![X-86 : $i]:
% 4.15/1.25 (~ ((^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))) @ X-86)
% 4.15/1.25 | ((('#sk1' @ ('#sk3' @ '#sk2')) & ((('#sk3' @ '#sk2') != ('#sk2')))))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('exists_hoist', [status(thm)], [zip_derived_cl54])).
% 4.15/1.25 thf(zip_derived_cl61, plain,
% 4.15/1.25 (![X-86 : $i]:
% 4.15/1.25 (~ ((('#sk1') = ((($i) = (X-86)))))
% 4.15/1.25 | ((('#sk1' @ ('#sk3' @ '#sk2')) & ((('#sk3' @ '#sk2') != ('#sk2')))))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('ho_norm', [status(thm)], [zip_derived_cl55])).
% 4.15/1.25 thf(zip_derived_cl62, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 (~ ((('#sk1') = ((($i) = (X0)))))
% 4.15/1.25 | ((('#sk1' @ ('#sk3' @ '#sk2')) & ((('#sk3' @ '#sk2') != ('#sk2')))))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('cannonize vars', [status(thm)], [zip_derived_cl61])).
% 4.15/1.25 thf(zip_derived_cl63, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ((('#sk1') != ((($i) = (X0))))
% 4.15/1.25 | ((('#sk1' @ ('#sk3' @ '#sk2')) & ((('#sk3' @ '#sk2') != ('#sk2')))))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)], [zip_derived_cl62])).
% 4.15/1.25 thf(zip_derived_cl64, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ( ('#sk1' @ ('#sk3' @ '#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk1') != ((($i) = (X0)))))),
% 4.15/1.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])).
% 4.15/1.25 thf(zip_derived_cl129, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ( ('#sk1' @ ('#sk3' @ '#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk1' @ ('#sk4' @ X0)) != (((X0) = ('#sk4' @ X0)))))),
% 4.15/1.25 inference('neg_ext', [status(thm)], [zip_derived_cl64])).
% 4.15/1.25 thf(zip_derived_cl393, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 (((X0) = ('#sk4' @ X0))
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ('#sk1' @ ('#sk4' @ X0)))),
% 4.15/1.25 inference('eq_hoist', [status(thm)], [zip_derived_cl129])).
% 4.15/1.25 thf(zip_derived_cl456, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ( ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk3' @ '#sk2') = ('#sk2'))
% 4.15/1.25 | ('#sk1' @ ('#sk4' @ X0))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ((X0) = ('#sk4' @ X0)))),
% 4.15/1.25 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl393])).
% 4.15/1.25 thf(zip_derived_cl493, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 (((X0) = ('#sk4' @ X0))
% 4.15/1.25 | ('#sk1' @ ('#sk4' @ X0))
% 4.15/1.25 | (('#sk3' @ '#sk2') = ('#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl456])).
% 4.15/1.25 thf(zip_derived_cl65, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ( ((('#sk3' @ '#sk2') != ('#sk2')))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk1') != ((($i) = (X0)))))),
% 4.15/1.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl63])).
% 4.15/1.25 thf(zip_derived_cl68, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ((('#sk3' @ '#sk2') != ('#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk1') != ((($i) = (X0)))))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)], [zip_derived_cl65])).
% 4.15/1.25 thf(zip_derived_cl77, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ((('#sk3' @ '#sk2') != ('#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk1' @ ('#sk4' @ X0)) != (((X0) = ('#sk4' @ X0)))))),
% 4.15/1.25 inference('neg_ext', [status(thm)], [zip_derived_cl68])).
% 4.15/1.25 thf(zip_derived_cl293, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 (((X0) = ('#sk4' @ X0))
% 4.15/1.25 | (('#sk3' @ '#sk2') != ('#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ('#sk1' @ ('#sk4' @ X0)))),
% 4.15/1.25 inference('eq_hoist', [status(thm)], [zip_derived_cl77])).
% 4.15/1.25 thf(zip_derived_cl506, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ( ('#sk1' @ '#sk5')
% 4.15/1.25 | ('#sk1' @ ('#sk4' @ X0))
% 4.15/1.25 | ((X0) = ('#sk4' @ X0)))),
% 4.15/1.25 inference('clc', [status(thm)], [zip_derived_cl493, zip_derived_cl293])).
% 4.15/1.25 thf(zip_derived_cl516, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ( ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk4' @ X0) = ('#sk2'))
% 4.15/1.25 | ((X0) = ('#sk4' @ X0))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl506])).
% 4.15/1.25 thf(zip_derived_cl539, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 (((X0) = ('#sk4' @ X0))
% 4.15/1.25 | (('#sk4' @ X0) = ('#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl516])).
% 4.15/1.25 thf(zip_derived_cl574, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ((('#sk2') != (X0)) | ('#sk1' @ '#sk5') | ((X0) = ('#sk4' @ X0)))),
% 4.15/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl539])).
% 4.15/1.25 thf(zip_derived_cl576, plain,
% 4.15/1.25 (((('#sk2') = ('#sk4' @ '#sk2')) | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl574])).
% 4.15/1.25 thf(zip_derived_cl129, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ( ('#sk1' @ ('#sk3' @ '#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk1' @ ('#sk4' @ X0)) != (((X0) = ('#sk4' @ X0)))))),
% 4.15/1.25 inference('neg_ext', [status(thm)], [zip_derived_cl64])).
% 4.15/1.25 thf(zip_derived_cl392, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 (~ ('#sk1' @ ('#sk4' @ X0))
% 4.15/1.25 | ~ (((X0) = ('#sk4' @ X0)))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('eq_elim', [status(thm)], [zip_derived_cl129])).
% 4.15/1.25 thf(zip_derived_cl395, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 (~ ('#sk1' @ ('#sk4' @ X0))
% 4.15/1.25 | ((X0) != ('#sk4' @ X0))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)],
% 4.15/1.25 [zip_derived_cl392])).
% 4.15/1.25 thf(zip_derived_cl396, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 (~ ('#sk1' @ X0)
% 4.15/1.25 | ((X0) != ('#sk4' @ X0))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('local_rewriting', [status(thm)], [zip_derived_cl395])).
% 4.15/1.25 thf(zip_derived_cl653, plain,
% 4.15/1.25 (((('#sk2') != ('#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ~ ('#sk1' @ '#sk2'))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl576, zip_derived_cl396])).
% 4.15/1.25 thf(zip_derived_cl683, plain,
% 4.15/1.25 ((~ ('#sk1' @ '#sk2')
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl653])).
% 4.15/1.25 thf(zip_derived_cl33, plain, (( ('#sk1' @ '#sk2') | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 4.15/1.25 thf(zip_derived_cl747, plain,
% 4.15/1.25 (( ('#sk1' @ '#sk5') | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('clc', [status(thm)], [zip_derived_cl683, zip_derived_cl33])).
% 4.15/1.25 thf(zip_derived_cl758, plain,
% 4.15/1.25 (( ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk3' @ '#sk2') = ('#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('sup+', [status(thm)], [zip_derived_cl182, zip_derived_cl747])).
% 4.15/1.25 thf(zip_derived_cl780, plain,
% 4.15/1.25 (((('#sk3' @ '#sk2') = ('#sk2')) | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl758])).
% 4.15/1.25 thf(zip_derived_cl576, plain,
% 4.15/1.25 (((('#sk2') = ('#sk4' @ '#sk2')) | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl574])).
% 4.15/1.25 thf(zip_derived_cl576, plain,
% 4.15/1.25 (((('#sk2') = ('#sk4' @ '#sk2')) | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl574])).
% 4.15/1.25 thf(zip_derived_cl77, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ((('#sk3' @ '#sk2') != ('#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk1' @ ('#sk4' @ X0)) != (((X0) = ('#sk4' @ X0)))))),
% 4.15/1.25 inference('neg_ext', [status(thm)], [zip_derived_cl68])).
% 4.15/1.25 thf(zip_derived_cl655, plain,
% 4.15/1.25 (((('#sk1' @ ('#sk4' @ '#sk2')) != ((('#sk2') = ('#sk2'))))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk3' @ '#sk2') != ('#sk2')))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl576, zip_derived_cl77])).
% 4.15/1.25 thf(zip_derived_cl686, plain,
% 4.15/1.25 (((('#sk3' @ '#sk2') != ('#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk1' @ ('#sk4' @ '#sk2')) != ((('#sk2') = ('#sk2')))))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl655])).
% 4.15/1.25 thf(zip_derived_cl687, plain,
% 4.15/1.25 (((('#sk3' @ '#sk2') != ('#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ~ ('#sk1' @ ('#sk4' @ '#sk2')))),
% 4.15/1.25 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl686])).
% 4.15/1.25 thf(zip_derived_cl701, plain,
% 4.15/1.25 ((~ ('#sk1' @ '#sk2')
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | (('#sk3' @ '#sk2') != ('#sk2')))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl576, zip_derived_cl687])).
% 4.15/1.25 thf(zip_derived_cl710, plain,
% 4.15/1.25 (((('#sk3' @ '#sk2') != ('#sk2'))
% 4.15/1.25 | ('#sk1' @ '#sk5')
% 4.15/1.25 | ~ ('#sk1' @ '#sk2'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl701])).
% 4.15/1.25 thf(zip_derived_cl33, plain, (( ('#sk1' @ '#sk2') | ('#sk1' @ '#sk5'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl32])).
% 4.15/1.25 thf(zip_derived_cl738, plain,
% 4.15/1.25 (( ('#sk1' @ '#sk5') | (('#sk3' @ '#sk2') != ('#sk2')))),
% 4.15/1.25 inference('clc', [status(thm)], [zip_derived_cl710, zip_derived_cl33])).
% 4.15/1.25 thf(zip_derived_cl792, plain, ( ('#sk1' @ '#sk5')),
% 4.15/1.25 inference('clc', [status(thm)], [zip_derived_cl780, zip_derived_cl738])).
% 4.15/1.25 thf(zip_derived_cl144, plain,
% 4.15/1.25 (![X2 : $i, X3 : $i]:
% 4.15/1.25 ((('#sk1' @ X3) = ((('#sk5') = (X3))))
% 4.15/1.25 | ~ ('#sk1' @ X2)
% 4.15/1.25 | ((X2) = ('#sk2')))),
% 4.15/1.25 inference('ho_complete_eq', [status(thm)], [zip_derived_cl139])).
% 4.15/1.25 thf(zip_derived_cl180, plain,
% 4.15/1.25 (![X2 : $i, X3 : $i]:
% 4.15/1.25 ((('#sk5') = (X3))
% 4.15/1.25 | ~ ('#sk1' @ X3)
% 4.15/1.25 | ~ ('#sk1' @ X2)
% 4.15/1.25 | ((X2) = ('#sk2')))),
% 4.15/1.25 inference('eq_hoist', [status(thm)], [zip_derived_cl144])).
% 4.15/1.25 thf(zip_derived_cl794, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ((('#sk5') = ('#sk2')) | ~ ('#sk1' @ X0) | (('#sk5') = (X0)))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl792, zip_derived_cl180])).
% 4.15/1.25 thf(zip_derived_cl139, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ((('#sk1') = ((($i) = ('#sk5'))))
% 4.15/1.25 | ((X2) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X2))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)],
% 4.15/1.25 [zip_derived_cl138])).
% 4.15/1.25 thf(zip_derived_cl3, plain,
% 4.15/1.25 (((((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y1 : $i]:
% 4.15/1.25 ((('#sk1' @ Y1) & (((Y1) != (Y0)))))))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('ho_norm', [status(thm)], [zip_derived_cl2])).
% 4.15/1.25 thf(zip_derived_cl4, plain,
% 4.15/1.25 (![X-81 : $i]:
% 4.15/1.25 (~ ((^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y1 : $i]:
% 4.15/1.25 ((('#sk1' @ Y1) & (((Y1) != (Y0))))))))))))) @
% 4.15/1.25 X-81)
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('exists_hoist', [status(thm)], [zip_derived_cl3])).
% 4.15/1.25 thf(zip_derived_cl7, plain,
% 4.15/1.25 (![X-81 : $i]:
% 4.15/1.25 (~ ((('#sk1' @ X-81) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) & (((Y0) != (X-81))))))))))))
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('ho_norm', [status(thm)], [zip_derived_cl4])).
% 4.15/1.25 thf(zip_derived_cl8, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 (~ ((('#sk1' @ X0) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) & (((Y0) != (X0))))))))))))
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('cannonize vars', [status(thm)], [zip_derived_cl7])).
% 4.15/1.25 thf(zip_derived_cl9, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 (~ ('#sk1' @ X0)
% 4.15/1.25 | (((??) @ (^[Y0 : $i]: ((('#sk1' @ Y0) & (((Y0) != (X0))))))))
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl8])).
% 4.15/1.25 thf(zip_derived_cl10, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ( ((('#sk1' @ ('#sk3' @ X0)) & ((('#sk3' @ X0) != (X0)))))
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0))))))))
% 4.15/1.25 | ~ ('#sk1' @ X0))),
% 4.15/1.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl9])).
% 4.15/1.25 thf(zip_derived_cl11, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ( ('#sk1' @ ('#sk3' @ X0))
% 4.15/1.25 | ~ ('#sk1' @ X0)
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])).
% 4.15/1.25 thf(zip_derived_cl13, plain,
% 4.15/1.25 (![X0 : $i, X2 : $i]:
% 4.15/1.25 (~ ((('#sk1') = ((($i) = (X2)))))
% 4.15/1.25 | ~ ('#sk1' @ X0)
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ X0)))),
% 4.15/1.25 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])).
% 4.15/1.25 thf(zip_derived_cl16, plain,
% 4.15/1.25 (![X0 : $i, X2 : $i]:
% 4.15/1.25 ((('#sk1') != ((($i) = (X2))))
% 4.15/1.25 | ~ ('#sk1' @ X0)
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ X0)))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)], [zip_derived_cl13])).
% 4.15/1.25 thf(zip_derived_cl143, plain,
% 4.15/1.25 (![X0 : $i, X1 : $i]:
% 4.15/1.25 ((('#sk1') != ('#sk1'))
% 4.15/1.25 | ~ ('#sk1' @ X1)
% 4.15/1.25 | ((X1) = ('#sk2'))
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ X0))
% 4.15/1.25 | ~ ('#sk1' @ X0))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl16])).
% 4.15/1.25 thf(zip_derived_cl148, plain,
% 4.15/1.25 (![X0 : $i, X1 : $i]:
% 4.15/1.25 (~ ('#sk1' @ X0)
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ X0))
% 4.15/1.25 | ((X1) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X1))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl143])).
% 4.15/1.25 thf(zip_derived_cl180, plain,
% 4.15/1.25 (![X2 : $i, X3 : $i]:
% 4.15/1.25 ((('#sk5') = (X3))
% 4.15/1.25 | ~ ('#sk1' @ X3)
% 4.15/1.25 | ~ ('#sk1' @ X2)
% 4.15/1.25 | ((X2) = ('#sk2')))),
% 4.15/1.25 inference('eq_hoist', [status(thm)], [zip_derived_cl144])).
% 4.15/1.25 thf(zip_derived_cl346, plain,
% 4.15/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.15/1.25 (~ ('#sk1' @ X2)
% 4.15/1.25 | ((X2) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X0)
% 4.15/1.25 | ((X1) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X1)
% 4.15/1.25 | (('#sk5') = ('#sk3' @ X0)))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl148, zip_derived_cl180])).
% 4.15/1.25 thf(zip_derived_cl1030, plain,
% 4.15/1.25 (![X0 : $i, X1 : $i]:
% 4.15/1.25 ((('#sk5') = ('#sk3' @ X1))
% 4.15/1.25 | ((X0) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X1)
% 4.15/1.25 | ((X0) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X0))),
% 4.15/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl346])).
% 4.15/1.25 thf(zip_derived_cl1035, plain,
% 4.15/1.25 (![X0 : $i, X1 : $i]:
% 4.15/1.25 (~ ('#sk1' @ X0)
% 4.15/1.25 | ~ ('#sk1' @ X1)
% 4.15/1.25 | ((X0) = ('#sk2'))
% 4.15/1.25 | (('#sk5') = ('#sk3' @ X1)))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1030])).
% 4.15/1.25 thf(zip_derived_cl24, plain,
% 4.15/1.25 (((('#sk1') = ((($i) = ('#sk5')))) | ('#sk1' @ '#sk2'))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)], [zip_derived_cl23])).
% 4.15/1.25 thf(zip_derived_cl12, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ( ((('#sk3' @ X0) != (X0)))
% 4.15/1.25 | ~ ('#sk1' @ X0)
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])).
% 4.15/1.25 thf(zip_derived_cl14, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ((('#sk3' @ X0) != (X0))
% 4.15/1.25 | ~ ('#sk1' @ X0)
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)], [zip_derived_cl12])).
% 4.15/1.25 thf(zip_derived_cl15, plain,
% 4.15/1.25 (![X0 : $i, X2 : $i]:
% 4.15/1.25 (~ ((('#sk1') = ((($i) = (X2)))))
% 4.15/1.25 | ~ ('#sk1' @ X0)
% 4.15/1.25 | (('#sk3' @ X0) != (X0)))),
% 4.15/1.25 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl14])).
% 4.15/1.25 thf(zip_derived_cl17, plain,
% 4.15/1.25 (![X0 : $i, X2 : $i]:
% 4.15/1.25 ((('#sk1') != ((($i) = (X2))))
% 4.15/1.25 | ~ ('#sk1' @ X0)
% 4.15/1.25 | (('#sk3' @ X0) != (X0)))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)], [zip_derived_cl15])).
% 4.15/1.25 thf(zip_derived_cl25, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ((('#sk1') != ('#sk1'))
% 4.15/1.25 | ('#sk1' @ '#sk2')
% 4.15/1.25 | (('#sk3' @ X0) != (X0))
% 4.15/1.25 | ~ ('#sk1' @ X0))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl17])).
% 4.15/1.25 thf(zip_derived_cl27, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 (~ ('#sk1' @ X0) | (('#sk3' @ X0) != (X0)) | ('#sk1' @ '#sk2'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl25])).
% 4.15/1.25 thf(zip_derived_cl1095, plain,
% 4.15/1.25 (![X0 : $i, X1 : $i]:
% 4.15/1.25 ((('#sk5') != (X0))
% 4.15/1.25 | ((X1) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X0)
% 4.15/1.25 | ~ ('#sk1' @ X1)
% 4.15/1.25 | ('#sk1' @ '#sk2')
% 4.15/1.25 | ~ ('#sk1' @ X0))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl1035, zip_derived_cl27])).
% 4.15/1.25 thf(zip_derived_cl1128, plain,
% 4.15/1.25 (![X1 : $i]:
% 4.15/1.25 ( ('#sk1' @ '#sk2')
% 4.15/1.25 | ~ ('#sk1' @ X1)
% 4.15/1.25 | ~ ('#sk1' @ '#sk5')
% 4.15/1.25 | ((X1) = ('#sk2')))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1095])).
% 4.15/1.25 thf(zip_derived_cl792, plain, ( ('#sk1' @ '#sk5')),
% 4.15/1.25 inference('clc', [status(thm)], [zip_derived_cl780, zip_derived_cl738])).
% 4.15/1.25 thf(zip_derived_cl1129, plain,
% 4.15/1.25 (![X1 : $i]: (((X1) = ('#sk2')) | ~ ('#sk1' @ X1) | ('#sk1' @ '#sk2'))),
% 4.15/1.25 inference('simplify_reflect+', [status(thm)],
% 4.15/1.25 [zip_derived_cl1128, zip_derived_cl792])).
% 4.15/1.25 thf(zip_derived_cl792, plain, ( ('#sk1' @ '#sk5')),
% 4.15/1.25 inference('clc', [status(thm)], [zip_derived_cl780, zip_derived_cl738])).
% 4.15/1.25 thf(zip_derived_cl1141, plain,
% 4.15/1.25 (( ('#sk1' @ '#sk2') | (('#sk5') = ('#sk2')))),
% 4.15/1.25 inference('sup+', [status(thm)], [zip_derived_cl1129, zip_derived_cl792])).
% 4.15/1.25 thf(zip_derived_cl1181, plain,
% 4.15/1.25 (((('#sk5') = ('#sk2')) | (('#sk5') = ('#sk2')) | (('#sk5') = ('#sk2')))),
% 4.15/1.25 inference('sup+', [status(thm)], [zip_derived_cl794, zip_derived_cl1141])).
% 4.15/1.25 thf(zip_derived_cl1215, plain, ((('#sk5') = ('#sk2'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1181])).
% 4.15/1.25 thf(zip_derived_cl792, plain, ( ('#sk1' @ '#sk5')),
% 4.15/1.25 inference('clc', [status(thm)], [zip_derived_cl780, zip_derived_cl738])).
% 4.15/1.25 thf(zip_derived_cl1236, plain, ( ('#sk1' @ '#sk2')),
% 4.15/1.25 inference('sup+', [status(thm)], [zip_derived_cl1215, zip_derived_cl792])).
% 4.15/1.25 thf(zip_derived_cl1276, plain,
% 4.15/1.25 ((((($true) &
% 4.15/1.25 (((~) @ (((??) @ (^[Y0 : $i]:
% 4.15/1.25 ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('demod', [status(thm)], [zip_derived_cl6, zip_derived_cl1236])).
% 4.15/1.25 thf(zip_derived_cl1277, plain,
% 4.15/1.25 (((((~) @ (((??) @ (^[Y0 : $i]: ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))))
% 4.15/1.25 != (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('simplify boolean subterms', [status(thm)],
% 4.15/1.25 [zip_derived_cl1276])).
% 4.15/1.25 thf(zip_derived_cl1278, plain,
% 4.15/1.25 (((((??) @ (^[Y0 : $i]: ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))
% 4.15/1.25 = (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)],
% 4.15/1.25 [zip_derived_cl1277])).
% 4.15/1.25 thf(zip_derived_cl1292, plain,
% 4.15/1.25 ((~ ('#form6')
% 4.15/1.25 | (((((??) @ (^[Y0 : $i]: ((('#sk1' @ Y0) & (((Y0) != ('#sk2')))))))) <=>
% 4.15/1.25 (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))))),
% 4.15/1.25 define([status(thm)])).
% 4.15/1.25 thf(zip_derived_cl1293, plain,
% 4.15/1.25 (( (((??) @ (^[Y0 : $i]: ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0))))))))
% 4.15/1.25 | ~ ('#form6'))),
% 4.15/1.25 inference('lazy_cnf_equiv', [status(thm)], [zip_derived_cl1292])).
% 4.15/1.25 thf(zip_derived_cl1297, plain,
% 4.15/1.25 (( ((('#sk1' @ ('#sk3' @ '#sk2')) & ((('#sk3' @ '#sk2') != ('#sk2')))))
% 4.15/1.25 | ~ ('#form6')
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1293])).
% 4.15/1.25 thf(zip_derived_cl1299, plain,
% 4.15/1.25 (( ('#sk1' @ ('#sk3' @ '#sk2'))
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0))))))))
% 4.15/1.25 | ~ ('#form6'))),
% 4.15/1.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1297])).
% 4.15/1.25 thf(zip_derived_cl1303, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 (~ ((('#sk1') = ((($i) = (X2)))))
% 4.15/1.25 | ~ ('#form6')
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1299])).
% 4.15/1.25 thf(zip_derived_cl1308, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ((('#sk1') != ((($i) = (X2))))
% 4.15/1.25 | ~ ('#form6')
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)],
% 4.15/1.25 [zip_derived_cl1303])).
% 4.15/1.25 thf(zip_derived_cl1278, plain,
% 4.15/1.25 (((((??) @ (^[Y0 : $i]: ((('#sk1' @ Y0) & (((Y0) != ('#sk2'))))))))
% 4.15/1.25 = (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)],
% 4.15/1.25 [zip_derived_cl1277])).
% 4.15/1.25 thf(zip_derived_cl1292, plain,
% 4.15/1.25 ((~ ('#form6')
% 4.15/1.25 | (((((??) @ (^[Y0 : $i]: ((('#sk1' @ Y0) & (((Y0) != ('#sk2')))))))) <=>
% 4.15/1.25 (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0)))))))))))),
% 4.15/1.25 define([status(thm)])).
% 4.15/1.25 thf(zip_derived_cl1295, plain, ( ('#form6')),
% 4.15/1.25 inference('renaming', [status(thm)],
% 4.15/1.25 [zip_derived_cl1278, zip_derived_cl1292])).
% 4.15/1.25 thf(zip_derived_cl1566, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ((('#sk1') != ((($i) = (X2)))) | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('demod', [status(thm)],
% 4.15/1.25 [zip_derived_cl1308, zip_derived_cl1295])).
% 4.15/1.25 thf(zip_derived_cl1567, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ((('#sk1' @ ('#sk4' @ X2)) != (((X2) = ('#sk4' @ X2))))
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('neg_ext', [status(thm)], [zip_derived_cl1566])).
% 4.15/1.25 thf(zip_derived_cl1655, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 (((X2) = ('#sk4' @ X2))
% 4.15/1.25 | ('#sk1' @ ('#sk4' @ X2))
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('eq_hoist', [status(thm)], [zip_derived_cl1567])).
% 4.15/1.25 thf(zip_derived_cl1035, plain,
% 4.15/1.25 (![X0 : $i, X1 : $i]:
% 4.15/1.25 (~ ('#sk1' @ X0)
% 4.15/1.25 | ~ ('#sk1' @ X1)
% 4.15/1.25 | ((X0) = ('#sk2'))
% 4.15/1.25 | (('#sk5') = ('#sk3' @ X1)))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1030])).
% 4.15/1.25 thf(zip_derived_cl139, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ((('#sk1') = ((($i) = ('#sk5'))))
% 4.15/1.25 | ((X2) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X2))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)],
% 4.15/1.25 [zip_derived_cl138])).
% 4.15/1.25 thf(zip_derived_cl17, plain,
% 4.15/1.25 (![X0 : $i, X2 : $i]:
% 4.15/1.25 ((('#sk1') != ((($i) = (X2))))
% 4.15/1.25 | ~ ('#sk1' @ X0)
% 4.15/1.25 | (('#sk3' @ X0) != (X0)))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)], [zip_derived_cl15])).
% 4.15/1.25 thf(zip_derived_cl142, plain,
% 4.15/1.25 (![X0 : $i, X1 : $i]:
% 4.15/1.25 ((('#sk1') != ('#sk1'))
% 4.15/1.25 | ~ ('#sk1' @ X1)
% 4.15/1.25 | ((X1) = ('#sk2'))
% 4.15/1.25 | (('#sk3' @ X0) != (X0))
% 4.15/1.25 | ~ ('#sk1' @ X0))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl139, zip_derived_cl17])).
% 4.15/1.25 thf(zip_derived_cl147, plain,
% 4.15/1.25 (![X0 : $i, X1 : $i]:
% 4.15/1.25 (~ ('#sk1' @ X0)
% 4.15/1.25 | (('#sk3' @ X0) != (X0))
% 4.15/1.25 | ((X1) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X1))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl142])).
% 4.15/1.25 thf(zip_derived_cl1094, plain,
% 4.15/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 4.15/1.25 ((('#sk5') != (X0))
% 4.15/1.25 | ((X2) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X0)
% 4.15/1.25 | ~ ('#sk1' @ X2)
% 4.15/1.25 | ~ ('#sk1' @ X1)
% 4.15/1.25 | ((X1) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X0))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl1035, zip_derived_cl147])).
% 4.15/1.25 thf(zip_derived_cl1126, plain,
% 4.15/1.25 (![X1 : $i, X2 : $i]:
% 4.15/1.25 (((X1) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X1)
% 4.15/1.25 | ~ ('#sk1' @ X2)
% 4.15/1.25 | ~ ('#sk1' @ '#sk5')
% 4.15/1.25 | ((X2) = ('#sk2')))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1094])).
% 4.15/1.25 thf(zip_derived_cl792, plain, ( ('#sk1' @ '#sk5')),
% 4.15/1.25 inference('clc', [status(thm)], [zip_derived_cl780, zip_derived_cl738])).
% 4.15/1.25 thf(zip_derived_cl1127, plain,
% 4.15/1.25 (![X1 : $i, X2 : $i]:
% 4.15/1.25 (((X2) = ('#sk2'))
% 4.15/1.25 | ~ ('#sk1' @ X2)
% 4.15/1.25 | ~ ('#sk1' @ X1)
% 4.15/1.25 | ((X1) = ('#sk2')))),
% 4.15/1.25 inference('simplify_reflect+', [status(thm)],
% 4.15/1.25 [zip_derived_cl1126, zip_derived_cl792])).
% 4.15/1.25 thf(zip_derived_cl1588, plain,
% 4.15/1.25 (![X0 : $i]: (((X0) = ('#sk2')) | ~ ('#sk1' @ X0) | ((X0) = ('#sk2')))),
% 4.15/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl1127])).
% 4.15/1.25 thf(zip_derived_cl1590, plain,
% 4.15/1.25 (![X0 : $i]: (~ ('#sk1' @ X0) | ((X0) = ('#sk2')))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1588])).
% 4.15/1.25 thf(zip_derived_cl1660, plain,
% 4.15/1.25 (![X0 : $i]:
% 4.15/1.25 ( ('#sk1' @ ('#sk4' @ X0))
% 4.15/1.25 | ((X0) = ('#sk4' @ X0))
% 4.15/1.25 | (('#sk3' @ '#sk2') = ('#sk2')))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl1655, zip_derived_cl1590])).
% 4.15/1.25 thf(zip_derived_cl1300, plain,
% 4.15/1.25 (( ((('#sk3' @ '#sk2') != ('#sk2')))
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0))))))))
% 4.15/1.25 | ~ ('#form6'))),
% 4.15/1.25 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1297])).
% 4.15/1.25 thf(zip_derived_cl1304, plain,
% 4.15/1.25 (((('#sk3' @ '#sk2') != ('#sk2'))
% 4.15/1.25 | ~ (((??) @ (^[Y0 : $i]: ((('#sk1') = ((($i) = (Y0))))))))
% 4.15/1.25 | ~ ('#form6'))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)],
% 4.15/1.25 [zip_derived_cl1300])).
% 4.15/1.25 thf(zip_derived_cl1305, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 (~ ((('#sk1') = ((($i) = (X2)))))
% 4.15/1.25 | ~ ('#form6')
% 4.15/1.25 | (('#sk3' @ '#sk2') != ('#sk2')))),
% 4.15/1.25 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1304])).
% 4.15/1.25 thf(zip_derived_cl1309, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ((('#sk1') != ((($i) = (X2))))
% 4.15/1.25 | ~ ('#form6')
% 4.15/1.25 | (('#sk3' @ '#sk2') != ('#sk2')))),
% 4.15/1.25 inference('simplify nested equalities', [status(thm)],
% 4.15/1.25 [zip_derived_cl1305])).
% 4.15/1.25 thf(zip_derived_cl1295, plain, ( ('#form6')),
% 4.15/1.25 inference('renaming', [status(thm)],
% 4.15/1.25 [zip_derived_cl1278, zip_derived_cl1292])).
% 4.15/1.25 thf(zip_derived_cl1395, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ((('#sk1') != ((($i) = (X2)))) | (('#sk3' @ '#sk2') != ('#sk2')))),
% 4.15/1.25 inference('demod', [status(thm)],
% 4.15/1.25 [zip_derived_cl1309, zip_derived_cl1295])).
% 4.15/1.25 thf(zip_derived_cl1396, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ((('#sk1' @ ('#sk4' @ X2)) != (((X2) = ('#sk4' @ X2))))
% 4.15/1.25 | (('#sk3' @ '#sk2') != ('#sk2')))),
% 4.15/1.25 inference('neg_ext', [status(thm)], [zip_derived_cl1395])).
% 4.15/1.25 thf(zip_derived_cl1471, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 (((X2) = ('#sk4' @ X2))
% 4.15/1.25 | ('#sk1' @ ('#sk4' @ X2))
% 4.15/1.25 | (('#sk3' @ '#sk2') != ('#sk2')))),
% 4.15/1.25 inference('eq_hoist', [status(thm)], [zip_derived_cl1396])).
% 4.15/1.25 thf(zip_derived_cl1677, plain,
% 4.15/1.25 (![X0 : $i]: (((X0) = ('#sk4' @ X0)) | ('#sk1' @ ('#sk4' @ X0)))),
% 4.15/1.25 inference('clc', [status(thm)], [zip_derived_cl1660, zip_derived_cl1471])).
% 4.15/1.25 thf(zip_derived_cl1590, plain,
% 4.15/1.25 (![X0 : $i]: (~ ('#sk1' @ X0) | ((X0) = ('#sk2')))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1588])).
% 4.15/1.25 thf(zip_derived_cl1678, plain,
% 4.15/1.25 (![X0 : $i]: (((X0) = ('#sk4' @ X0)) | (('#sk4' @ X0) = ('#sk2')))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl1677, zip_derived_cl1590])).
% 4.15/1.25 thf(zip_derived_cl1702, plain,
% 4.15/1.25 (![X0 : $i]: ((('#sk2') != (X0)) | ((X0) = ('#sk4' @ X0)))),
% 4.15/1.25 inference('eq_fact', [status(thm)], [zip_derived_cl1678])).
% 4.15/1.25 thf(zip_derived_cl1704, plain, ((('#sk2') = ('#sk4' @ '#sk2'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1702])).
% 4.15/1.25 thf(zip_derived_cl1567, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ((('#sk1' @ ('#sk4' @ X2)) != (((X2) = ('#sk4' @ X2))))
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('neg_ext', [status(thm)], [zip_derived_cl1566])).
% 4.15/1.25 thf(zip_derived_cl1754, plain,
% 4.15/1.25 (((('#sk1' @ ('#sk4' @ '#sk2')) != ((('#sk2') = ('#sk2'))))
% 4.15/1.25 | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl1704, zip_derived_cl1567])).
% 4.15/1.25 thf(zip_derived_cl1704, plain, ((('#sk2') = ('#sk4' @ '#sk2'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1702])).
% 4.15/1.25 thf(zip_derived_cl1236, plain, ( ('#sk1' @ '#sk2')),
% 4.15/1.25 inference('sup+', [status(thm)], [zip_derived_cl1215, zip_derived_cl792])).
% 4.15/1.25 thf(zip_derived_cl1769, plain,
% 4.15/1.25 ((~ ((('#sk2') = ('#sk2'))) | ('#sk1' @ ('#sk3' @ '#sk2')))),
% 4.15/1.25 inference('demod', [status(thm)],
% 4.15/1.25 [zip_derived_cl1754, zip_derived_cl1704, zip_derived_cl1236])).
% 4.15/1.25 thf(zip_derived_cl1770, plain, ( ('#sk1' @ ('#sk3' @ '#sk2'))),
% 4.15/1.25 inference('simplify boolean subterms', [status(thm)],
% 4.15/1.25 [zip_derived_cl1769])).
% 4.15/1.25 thf(zip_derived_cl1590, plain,
% 4.15/1.25 (![X0 : $i]: (~ ('#sk1' @ X0) | ((X0) = ('#sk2')))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1588])).
% 4.15/1.25 thf(zip_derived_cl1793, plain, ((('#sk3' @ '#sk2') = ('#sk2'))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl1770, zip_derived_cl1590])).
% 4.15/1.25 thf(zip_derived_cl1704, plain, ((('#sk2') = ('#sk4' @ '#sk2'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1702])).
% 4.15/1.25 thf(zip_derived_cl1396, plain,
% 4.15/1.25 (![X2 : $i]:
% 4.15/1.25 ((('#sk1' @ ('#sk4' @ X2)) != (((X2) = ('#sk4' @ X2))))
% 4.15/1.25 | (('#sk3' @ '#sk2') != ('#sk2')))),
% 4.15/1.25 inference('neg_ext', [status(thm)], [zip_derived_cl1395])).
% 4.15/1.25 thf(zip_derived_cl1755, plain,
% 4.15/1.25 (((('#sk1' @ ('#sk4' @ '#sk2')) != ((('#sk2') = ('#sk2'))))
% 4.15/1.25 | (('#sk3' @ '#sk2') != ('#sk2')))),
% 4.15/1.25 inference('sup-', [status(thm)], [zip_derived_cl1704, zip_derived_cl1396])).
% 4.15/1.25 thf(zip_derived_cl1704, plain, ((('#sk2') = ('#sk4' @ '#sk2'))),
% 4.15/1.25 inference('simplify', [status(thm)], [zip_derived_cl1702])).
% 4.15/1.25 thf(zip_derived_cl1236, plain, ( ('#sk1' @ '#sk2')),
% 4.15/1.25 inference('sup+', [status(thm)], [zip_derived_cl1215, zip_derived_cl792])).
% 4.15/1.25 thf(zip_derived_cl1771, plain,
% 4.15/1.25 ((~ ((('#sk2') = ('#sk2'))) | (('#sk3' @ '#sk2') != ('#sk2')))),
% 4.15/1.25 inference('demod', [status(thm)],
% 4.15/1.25 [zip_derived_cl1755, zip_derived_cl1704, zip_derived_cl1236])).
% 4.15/1.25 thf(zip_derived_cl1772, plain, ((('#sk3' @ '#sk2') != ('#sk2'))),
% 4.15/1.25 inference('simplify boolean subterms', [status(thm)],
% 4.15/1.25 [zip_derived_cl1771])).
% 4.15/1.25 thf(zip_derived_cl1803, plain, ($false),
% 4.15/1.25 inference('simplify_reflect-', [status(thm)],
% 4.15/1.25 [zip_derived_cl1793, zip_derived_cl1772])).
% 4.15/1.25
% 4.15/1.25 % SZS output end Refutation
% 4.15/1.25
% 4.15/1.25
% 4.15/1.25 % Terminating...
% 5.38/1.49 % Runner terminated.
% 5.38/1.51 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------