TSTP Solution File: GRP621+1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : GRP621+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PXBshJFVm5 true
% Computer : n029.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 Aug 31 01:52:22 EDT 2023
% Result : Theorem 250.26s 36.52s
% Output : Refutation 250.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP621+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PXBshJFVm5 true
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 22:37:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Number of cores: 8
% 0.13/0.34 % Python version: Python 3.6.8
% 0.13/0.34 % Running in FO mode
% 0.51/0.64 % Total configuration time : 435
% 0.51/0.64 % Estimated wc time : 1092
% 0.51/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.53/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 250.26/36.52 % Solved by fo/fo1_lcnf.sh.
% 250.26/36.52 % done 11295 iterations in 35.633s
% 250.26/36.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 250.26/36.52 % SZS output start Refutation
% 250.26/36.52 thf(v4_group_1_type, type, v4_group_1: $i > $o).
% 250.26/36.52 thf(m1_fraenkel_type, type, m1_fraenkel: $i > $i > $i > $o).
% 250.26/36.52 thf(v3_struct_0_type, type, v3_struct_0: $i > $o).
% 250.26/36.52 thf('#sk2_type', type, '#sk2': $i).
% 250.26/36.52 thf(m2_relset_1_type, type, m2_relset_1: $i > $i > $i > $o).
% 250.26/36.52 thf(v1_fraenkel_type, type, v1_fraenkel: $i > $o).
% 250.26/36.52 thf('#sk1_type', type, '#sk1': $i).
% 250.26/36.52 thf(v3_group_6_type, type, v3_group_6: $i > $i > $i > $o).
% 250.26/36.52 thf(l1_group_1_type, type, l1_group_1: $i > $o).
% 250.26/36.52 thf(m2_fraenkel_type, type, m2_fraenkel: $i > $i > $i > $i > $o).
% 250.26/36.52 thf(r2_hidden_type, type, r2_hidden: $i > $i > $o).
% 250.26/36.52 thf(v1_funct_2_type, type, v1_funct_2: $i > $i > $i > $o).
% 250.26/36.52 thf(v2_funct_1_type, type, v2_funct_1: $i > $o).
% 250.26/36.52 thf(v1_group_1_type, type, v1_group_1: $i > $o).
% 250.26/36.52 thf(v1_xboole_0_type, type, v1_xboole_0: $i > $o).
% 250.26/36.52 thf(k1_autgroup_type, type, k1_autgroup: $i > $i).
% 250.26/36.52 thf(v1_group_6_type, type, v1_group_6: $i > $i > $i > $o).
% 250.26/36.52 thf(m1_relset_1_type, type, m1_relset_1: $i > $i > $i > $o).
% 250.26/36.52 thf(l1_struct_0_type, type, l1_struct_0: $i > $o).
% 250.26/36.52 thf(m1_subset_1_type, type, m1_subset_1: $i > $i > $o).
% 250.26/36.52 thf(k8_group_6_type, type, k8_group_6: $i > $i > $i > $i > $i > $i).
% 250.26/36.52 thf(v4_group_6_type, type, v4_group_6: $i > $i > $i > $o).
% 250.26/36.52 thf(v3_group_1_type, type, v3_group_1: $i > $o).
% 250.26/36.52 thf(v1_funct_1_type, type, v1_funct_1: $i > $o).
% 250.26/36.52 thf(u1_struct_0_type, type, u1_struct_0: $i > $i).
% 250.26/36.52 thf(k7_funct_2_type, type, k7_funct_2: $i > $i > $i > $i > $i > $i).
% 250.26/36.52 thf('#sk3_type', type, '#sk3': $i).
% 250.26/36.52 thf(k5_relat_1_type, type, k5_relat_1: $i > $i > $i).
% 250.26/36.52 thf(t8_autgroup, conjecture,
% 250.26/36.52 (![A:$i]:
% 250.26/36.52 ( ( ( l1_group_1 @ A ) & ( v4_group_1 @ A ) & ( v3_group_1 @ A ) &
% 250.26/36.52 ( v1_group_1 @ A ) & ( ~( v3_struct_0 @ A ) ) ) =>
% 250.26/36.52 ( ![B:$i]:
% 250.26/36.52 ( ( m2_fraenkel @
% 250.26/36.52 B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @
% 250.26/36.52 ( k1_autgroup @ A ) ) =>
% 250.26/36.52 ( ![C:$i]:
% 250.26/36.52 ( ( m2_fraenkel @
% 250.26/36.52 C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @
% 250.26/36.52 ( k1_autgroup @ A ) ) =>
% 250.26/36.52 ( m2_fraenkel @
% 250.26/36.52 ( k7_funct_2 @
% 250.26/36.52 ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @
% 250.26/36.52 ( u1_struct_0 @ A ) @ C @ B ) @
% 250.26/36.52 ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @
% 250.26/36.52 ( k1_autgroup @ A ) ) ) ) ) ) ))).
% 250.26/36.52 thf(zf_stmt_0, negated_conjecture,
% 250.26/36.52 (~( ![A:$i]:
% 250.26/36.52 ( ( ( l1_group_1 @ A ) & ( v4_group_1 @ A ) & ( v3_group_1 @ A ) &
% 250.26/36.52 ( v1_group_1 @ A ) & ( ~( v3_struct_0 @ A ) ) ) =>
% 250.26/36.52 ( ![B:$i]:
% 250.26/36.52 ( ( m2_fraenkel @
% 250.26/36.52 B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @
% 250.26/36.52 ( k1_autgroup @ A ) ) =>
% 250.26/36.52 ( ![C:$i]:
% 250.26/36.52 ( ( m2_fraenkel @
% 250.26/36.52 C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @
% 250.26/36.52 ( k1_autgroup @ A ) ) =>
% 250.26/36.52 ( m2_fraenkel @
% 250.26/36.52 ( k7_funct_2 @
% 250.26/36.52 ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @
% 250.26/36.52 ( u1_struct_0 @ A ) @ C @ B ) @
% 250.26/36.52 ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @
% 250.26/36.52 ( k1_autgroup @ A ) ) ) ) ) ) ) )),
% 250.26/36.52 inference('cnf.neg', [status(esa)], [t8_autgroup])).
% 250.26/36.52 thf(zip_derived_cl0, plain,
% 250.26/36.52 (~ (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y0) & (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) & (v1_group_1 @ Y0) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y1 @ (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (k1_autgroup @ Y0)) =>
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y2 @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (k1_autgroup @ Y0)) =>
% 250.26/36.52 (m2_fraenkel @
% 250.26/36.52 (k7_funct_2 @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0) @ Y2 @
% 250.26/36.52 Y1) @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (k1_autgroup @ Y0)))))))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 250.26/36.52 thf(zip_derived_cl71, plain,
% 250.26/36.52 (~ (((((l1_group_1 @ '#sk1') & (v4_group_1 @ '#sk1') &
% 250.26/36.52 (v3_group_1 @ '#sk1') & (v1_group_1 @ '#sk1') &
% 250.26/36.52 (((~) @ (v3_struct_0 @ '#sk1'))))) =>
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1')) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y1 @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (k1_autgroup @ '#sk1')) =>
% 250.26/36.52 (m2_fraenkel @
% 250.26/36.52 (k7_funct_2 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ Y1 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (k1_autgroup @ '#sk1'))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 250.26/36.52 thf(zip_derived_cl72, plain,
% 250.26/36.52 ( (((l1_group_1 @ '#sk1') & (v4_group_1 @ '#sk1') &
% 250.26/36.52 (v3_group_1 @ '#sk1') & (v1_group_1 @ '#sk1') &
% 250.26/36.52 (((~) @ (v3_struct_0 @ '#sk1')))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl71])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl73, plain,
% 250.26/36.52 (~ (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1')) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y1 @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (k1_autgroup @ '#sk1')) => (m2_fraenkel @
% 250.26/36.52 (k7_funct_2 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ Y1 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (k1_autgroup @ '#sk1'))))))))))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl71])).
% 250.26/36.52 thf(zip_derived_cl79, plain,
% 250.26/36.52 (~ (((m2_fraenkel @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1')) =>
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1')) =>
% 250.26/36.52 (m2_fraenkel @
% 250.26/36.52 (k7_funct_2 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 Y0 @ '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (k1_autgroup @ '#sk1')))))))))),
% 250.26/36.52 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl73])).
% 250.26/36.52 thf(zip_derived_cl81, plain,
% 250.26/36.52 (~ (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1')) =>
% 250.26/36.52 (m2_fraenkel @
% 250.26/36.52 (k7_funct_2 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @ Y0 @
% 250.26/36.52 '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (k1_autgroup @ '#sk1')))))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
% 250.26/36.52 thf(zip_derived_cl82, plain,
% 250.26/36.52 (~ (((m2_fraenkel @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1')) => (m2_fraenkel @
% 250.26/36.52 (k7_funct_2 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ '#sk3' @ '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (k1_autgroup @ '#sk1'))))),
% 250.26/36.52 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl81])).
% 250.26/36.52 thf(zip_derived_cl83, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 250.26/36.52 thf(d1_autgroup, axiom,
% 250.26/36.52 (![A:$i]:
% 250.26/36.52 ( ( ( l1_group_1 @ A ) & ( v4_group_1 @ A ) & ( v3_group_1 @ A ) &
% 250.26/36.52 ( v1_group_1 @ A ) & ( ~( v3_struct_0 @ A ) ) ) =>
% 250.26/36.52 ( ![B:$i]:
% 250.26/36.52 ( ( m1_fraenkel @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) =>
% 250.26/36.52 ( ( ( B ) = ( k1_autgroup @ A ) ) <=>
% 250.26/36.52 ( ( ![C:$i]:
% 250.26/36.52 ( ( ( m2_relset_1 @
% 250.26/36.52 C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) &
% 250.26/36.52 ( v1_group_6 @ C @ A @ A ) &
% 250.26/36.52 ( v1_funct_2 @
% 250.26/36.52 C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) &
% 250.26/36.52 ( v1_funct_1 @ C ) ) =>
% 250.26/36.52 ( ( r2_hidden @ C @ B ) <=>
% 250.26/36.52 ( ( v3_group_6 @ C @ A @ A ) & ( v2_funct_1 @ C ) ) ) ) ) &
% 250.26/36.52 ( ![C:$i]:
% 250.26/36.52 ( ( m2_fraenkel @
% 250.26/36.52 C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ B ) =>
% 250.26/36.52 ( ( m2_relset_1 @
% 250.26/36.52 C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) &
% 250.26/36.52 ( v1_group_6 @ C @ A @ A ) &
% 250.26/36.52 ( v1_funct_2 @
% 250.26/36.52 C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) &
% 250.26/36.52 ( v1_funct_1 @ C ) ) ) ) ) ) ) ) ))).
% 250.26/36.52 thf(zip_derived_cl11, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y0) & (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) & (v1_group_1 @ Y0) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m1_fraenkel @ Y1 @ (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0)) =>
% 250.26/36.52 (((((Y1) = (k1_autgroup @ Y0))) <=>
% 250.26/36.52 (((((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @ Y2 @
% 250.26/36.52 Y0 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2))) =>
% 250.26/36.52 (((r2_hidden @ Y2 @
% 250.26/36.52 Y1) <=>
% 250.26/36.52 (((v3_group_6 @ Y2 @
% 250.26/36.52 Y0 @ Y0) &
% 250.26/36.52 (v2_funct_1 @ Y2)))))))))) &
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y2 @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 Y1) =>
% 250.26/36.52 (((m2_relset_1 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @ Y2 @
% 250.26/36.52 Y0 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2))))))))))))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [d1_autgroup])).
% 250.26/36.52 thf(zip_derived_cl336, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((((l1_group_1 @ X2) & (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (v1_group_1 @ X2) & (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m1_fraenkel @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) =>
% 250.26/36.52 (((((Y0) = (k1_autgroup @ X2))) <=>
% 250.26/36.52 (((((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y1))) =>
% 250.26/36.52 (((r2_hidden @ Y1 @ Y0) <=>
% 250.26/36.52 (((v3_group_6 @ Y1 @ X2 @ X2) &
% 250.26/36.52 (v2_funct_1 @ Y1)))))))))) &
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2) @ Y0) =>
% 250.26/36.52 (((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y1)))))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl11])).
% 250.26/36.52 thf(zip_derived_cl337, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (((l1_group_1 @ X2) & (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (v1_group_1 @ X2) & (((~) @ (v3_struct_0 @ X2)))))
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m1_fraenkel @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) =>
% 250.26/36.52 (((((Y0) = (k1_autgroup @ X2))) <=>
% 250.26/36.52 (((((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y1))) =>
% 250.26/36.52 (((r2_hidden @ Y1 @ Y0) <=>
% 250.26/36.52 (((v3_group_6 @ Y1 @ X2 @ X2) &
% 250.26/36.52 (v2_funct_1 @ Y1)))))))))) &
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2) @ Y0) =>
% 250.26/36.52 (((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y1))))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl336])).
% 250.26/36.52 thf(zip_derived_cl338, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m1_fraenkel @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) =>
% 250.26/36.52 (((((Y0) = (k1_autgroup @ X2))) <=>
% 250.26/36.52 (((((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y1))) =>
% 250.26/36.52 (((r2_hidden @ Y1 @ Y0) <=>
% 250.26/36.52 (((v3_group_6 @ Y1 @ X2 @ X2) &
% 250.26/36.52 (v2_funct_1 @ Y1)))))))))) &
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2) @ Y0) =>
% 250.26/36.52 (((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y1))))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl337])).
% 250.26/36.52 thf(zip_derived_cl339, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 ( (((m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) =>
% 250.26/36.52 (((((X4) = (k1_autgroup @ X2))) <=>
% 250.26/36.52 (((((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((r2_hidden @ Y0 @ X4) <=>
% 250.26/36.52 (((v3_group_6 @ Y0 @ X2 @ X2) & (v2_funct_1 @
% 250.26/36.52 Y0)))))))))) &
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2) @ X4) =>
% 250.26/36.52 (((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0))))))))))))))
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl338])).
% 250.26/36.52 thf(zip_derived_cl340, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | (((((X4) = (k1_autgroup @ X2))) <=>
% 250.26/36.52 (((((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((r2_hidden @ Y0 @ X4) <=>
% 250.26/36.52 (((v3_group_6 @ Y0 @ X2 @ X2) & (v2_funct_1 @
% 250.26/36.52 Y0)))))))))) &
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2) @ X4) =>
% 250.26/36.52 (((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0))))))))))))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl339])).
% 250.26/36.52 thf(zip_derived_cl341, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ((((X4) = (k1_autgroup @ X2)))
% 250.26/36.52 = (((((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((r2_hidden @ Y0 @ X4) <=>
% 250.26/36.52 (((v3_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v2_funct_1 @ Y0)))))))))) &
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2) @ X4) =>
% 250.26/36.52 (((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0)))))))))))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl340])).
% 250.26/36.52 thf(zip_derived_cl342, plain,
% 250.26/36.52 (![X-73 : $i, X2 : $i, X4 : $i]:
% 250.26/36.52 ( ((^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @
% 250.26/36.52 X4) =>
% 250.26/36.52 (((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0)))))) @
% 250.26/36.52 X-73)
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ((((X4) = (k1_autgroup @ X2)))
% 250.26/36.52 = (((((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((r2_hidden @ Y0 @ X4) <=>
% 250.26/36.52 (((v3_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v2_funct_1 @ Y0)))))))))) &
% 250.26/36.52 ($false))))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2))),
% 250.26/36.52 inference('forall_hoist', [status(thm)], [zip_derived_cl341])).
% 250.26/36.52 thf(zip_derived_cl345, plain,
% 250.26/36.52 (![X-73 : $i, X2 : $i, X4 : $i]:
% 250.26/36.52 ( ((^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @
% 250.26/36.52 X4) =>
% 250.26/36.52 (((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0)))))) @
% 250.26/36.52 X-73)
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (((X4) = (k1_autgroup @ X2)))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2))),
% 250.26/36.52 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl342])).
% 250.26/36.52 thf(zip_derived_cl346, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X5 : $i]:
% 250.26/36.52 ( ((^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @
% 250.26/36.52 X4) =>
% 250.26/36.52 (((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0)))))) @
% 250.26/36.52 X5)
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (((X4) = (k1_autgroup @ X2)))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2))),
% 250.26/36.52 inference('cannonize vars', [status(thm)], [zip_derived_cl345])).
% 250.26/36.52 thf(zip_derived_cl347, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X5 : $i]:
% 250.26/36.52 ( ((^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @
% 250.26/36.52 X4) =>
% 250.26/36.52 (((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0)))))) @
% 250.26/36.52 X5)
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ((X4) != (k1_autgroup @ X2))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl346])).
% 250.26/36.52 thf(zip_derived_cl348, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X5 : $i]:
% 250.26/36.52 ( (((m2_fraenkel @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @
% 250.26/36.52 X4) =>
% 250.26/36.52 (((m2_relset_1 @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ X5 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ X5)))))
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ((X4) != (k1_autgroup @ X2))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2))),
% 250.26/36.52 inference('rw', [status(thm)], [zip_derived_cl347])).
% 250.26/36.52 thf(zip_derived_cl349, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X5 : $i]:
% 250.26/36.52 (~ (m2_fraenkel @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @ X4)
% 250.26/36.52 | (((m2_relset_1 @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ X5 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ X5)))
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ((X4) != (k1_autgroup @ X2))
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl348])).
% 250.26/36.52 thf(zip_derived_cl350, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X5 : $i]:
% 250.26/36.52 ( (m2_relset_1 @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ((X4) != (k1_autgroup @ X2))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (m2_fraenkel @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @ X4))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl349])).
% 250.26/36.52 thf(zip_derived_cl1738, plain,
% 250.26/36.52 (( (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1'))
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl350])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(dt_k1_autgroup, axiom,
% 250.26/36.52 (![A:$i]:
% 250.26/36.52 ( ( ( l1_group_1 @ A ) & ( v4_group_1 @ A ) & ( v3_group_1 @ A ) &
% 250.26/36.52 ( v1_group_1 @ A ) & ( ~( v3_struct_0 @ A ) ) ) =>
% 250.26/36.52 ( m1_fraenkel @
% 250.26/36.52 ( k1_autgroup @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ))).
% 250.26/36.52 thf(zip_derived_cl13, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y0) & (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) & (v1_group_1 @ Y0) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (m1_fraenkel @ (k1_autgroup @ Y0) @ (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0)))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [dt_k1_autgroup])).
% 250.26/36.52 thf(zip_derived_cl429, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((((l1_group_1 @ X2) & (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (v1_group_1 @ X2) & (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (m1_fraenkel @ (k1_autgroup @ X2) @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl13])).
% 250.26/36.52 thf(zip_derived_cl430, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (((l1_group_1 @ X2) & (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (v1_group_1 @ X2) & (((~) @ (v3_struct_0 @ X2)))))
% 250.26/36.52 | (m1_fraenkel @ (k1_autgroup @ X2) @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl429])).
% 250.26/36.52 thf(zip_derived_cl431, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | (m1_fraenkel @ (k1_autgroup @ X2) @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl430])).
% 250.26/36.52 thf(zip_derived_cl432, plain,
% 250.26/36.52 ((~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl74, zip_derived_cl431])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl77, plain, ( (v1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl77, plain, ( (v1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl1746, plain,
% 250.26/36.52 (( (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1738, zip_derived_cl437, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl76, zip_derived_cl77,
% 250.26/36.52 zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1747, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1746])).
% 250.26/36.52 thf(zip_derived_cl80, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
% 250.26/36.52 thf(dt_m2_fraenkel, axiom,
% 250.26/36.52 (![A:$i,B:$i,C:$i]:
% 250.26/36.52 ( ( ( m1_fraenkel @ C @ A @ B ) & ( ~( v1_xboole_0 @ B ) ) ) =>
% 250.26/36.52 ( ![D:$i]:
% 250.26/36.52 ( ( m2_fraenkel @ D @ A @ B @ C ) =>
% 250.26/36.52 ( ( m2_relset_1 @ D @ A @ B ) & ( v1_funct_2 @ D @ A @ B ) &
% 250.26/36.52 ( v1_funct_1 @ D ) ) ) ) ))).
% 250.26/36.52 thf(zip_derived_cl25, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m1_fraenkel @ Y2 @ Y0 @ Y1) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ Y1))))) =>
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((m2_fraenkel @
% 250.26/36.52 Y3 @ Y0 @ Y1 @
% 250.26/36.52 Y2) =>
% 250.26/36.52 (((m2_relset_1 @
% 250.26/36.52 Y3 @ Y0 @ Y1) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y3 @ Y0 @ Y1) &
% 250.26/36.52 (v1_funct_1 @ Y3)))))))))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [dt_m2_fraenkel])).
% 250.26/36.52 thf(zip_derived_cl530, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m1_fraenkel @ Y1 @ X2 @ Y0) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y2 @ X2 @
% 250.26/36.52 Y0 @ Y1) =>
% 250.26/36.52 (((m2_relset_1 @ Y2 @ X2 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @ X2 @ Y0) &
% 250.26/36.52 (v1_funct_1 @ Y2))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl25])).
% 250.26/36.52 thf(zip_derived_cl531, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m1_fraenkel @ Y0 @ X2 @ X4) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y1 @ X2 @ X4 @ Y0) =>
% 250.26/36.52 (((m2_relset_1 @ Y1 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y1 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_1 @ Y1)))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl530])).
% 250.26/36.52 thf(zip_derived_cl532, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (((((m1_fraenkel @ X6 @ X2 @ X4) & (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ X2 @ X4 @ X6) =>
% 250.26/36.52 (((m2_relset_1 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ X2 @ X4) & (v1_funct_1 @ Y0))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl531])).
% 250.26/36.52 thf(zip_derived_cl533, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (~ (((m1_fraenkel @ X6 @ X2 @ X4) & (((~) @ (v1_xboole_0 @ X4)))))
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ X2 @ X4 @ X6) =>
% 250.26/36.52 (((m2_relset_1 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ X2 @ X4) & (v1_funct_1 @ Y0)))))))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl532])).
% 250.26/36.52 thf(zip_derived_cl534, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ X2 @ X4 @ X6) =>
% 250.26/36.52 (((m2_relset_1 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ X2 @ X4) & (v1_funct_1 @ Y0)))))))))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl533])).
% 250.26/36.52 thf(zip_derived_cl535, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 ( (((m2_fraenkel @ X8 @ X2 @ X4 @ X6) =>
% 250.26/36.52 (((m2_relset_1 @ X8 @ X2 @ X4) & (v1_funct_2 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_1 @ X8)))))
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl534])).
% 250.26/36.52 thf(zip_derived_cl536, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 (~ (m2_fraenkel @ X8 @ X2 @ X4 @ X6)
% 250.26/36.52 | (((m2_relset_1 @ X8 @ X2 @ X4) & (v1_funct_2 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_1 @ X8)))
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | (v1_xboole_0 @ X4))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl535])).
% 250.26/36.52 thf(zip_derived_cl537, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 ( (m2_relset_1 @ X8 @ X2 @ X4)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_fraenkel @ X8 @ X2 @ X4 @ X6))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl536])).
% 250.26/36.52 thf(zip_derived_cl540, plain,
% 250.26/36.52 (( (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl537])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl542, plain,
% 250.26/36.52 (( (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl540, zip_derived_cl437])).
% 250.26/36.52 thf(t5_autgroup, axiom,
% 250.26/36.52 (![A:$i]:
% 250.26/36.52 ( ( ( l1_group_1 @ A ) & ( v4_group_1 @ A ) & ( v3_group_1 @ A ) &
% 250.26/36.52 ( v1_group_1 @ A ) & ( ~( v3_struct_0 @ A ) ) ) =>
% 250.26/36.52 ( ![B:$i]:
% 250.26/36.52 ( ( ( m2_relset_1 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) &
% 250.26/36.52 ( v1_group_6 @ B @ A @ A ) &
% 250.26/36.52 ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) &
% 250.26/36.52 ( v1_funct_1 @ B ) ) =>
% 250.26/36.52 ( ( r2_hidden @ B @ ( k1_autgroup @ A ) ) <=>
% 250.26/36.52 ( v4_group_6 @ B @ A @ A ) ) ) ) ))).
% 250.26/36.52 thf(zip_derived_cl65, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y0) & (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) & (v1_group_1 @ Y0) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y1 @ (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ Y0 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y1 @ (u1_struct_0 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y1))) =>
% 250.26/36.52 (((r2_hidden @ Y1 @ (k1_autgroup @ Y0)) <=>
% 250.26/36.52 (v4_group_6 @ Y1 @ Y0 @ Y0)))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [t5_autgroup])).
% 250.26/36.52 thf(zip_derived_cl1059, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((((l1_group_1 @ X2) & (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (v1_group_1 @ X2) & (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((r2_hidden @ Y0 @ (k1_autgroup @ X2)) <=>
% 250.26/36.52 (v4_group_6 @ Y0 @ X2 @ X2))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl65])).
% 250.26/36.52 thf(zip_derived_cl1060, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (((l1_group_1 @ X2) & (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (v1_group_1 @ X2) & (((~) @ (v3_struct_0 @ X2)))))
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((r2_hidden @ Y0 @ (k1_autgroup @ X2)) <=>
% 250.26/36.52 (v4_group_6 @ Y0 @ X2 @ X2)))))))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1059])).
% 250.26/36.52 thf(zip_derived_cl1061, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((r2_hidden @ Y0 @ (k1_autgroup @ X2)) <=>
% 250.26/36.52 (v4_group_6 @ Y0 @ X2 @ X2)))))))))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1060])).
% 250.26/36.52 thf(zip_derived_cl1062, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 ( (((((m2_relset_1 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ X4 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ X4))) =>
% 250.26/36.52 (((r2_hidden @ X4 @ (k1_autgroup @ X2)) <=> (v4_group_6 @ X4 @
% 250.26/36.52 X2 @ X2)))))
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1061])).
% 250.26/36.52 thf(zip_derived_cl1063, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (~ (((m2_relset_1 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ X4 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ X4)))
% 250.26/36.52 | (((r2_hidden @ X4 @ (k1_autgroup @ X2)) <=> (v4_group_6 @ X4 @
% 250.26/36.52 X2 @ X2)))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1062])).
% 250.26/36.52 thf(zip_derived_cl1064, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (~ (((m2_relset_1 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_group_6 @ X4 @ X2 @ X2) &
% 250.26/36.52 (v1_funct_2 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2)) &
% 250.26/36.52 (v1_funct_1 @ X4)))
% 250.26/36.52 | ((r2_hidden @ X4 @ (k1_autgroup @ X2))
% 250.26/36.52 = (v4_group_6 @ X4 @ X2 @ X2))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl1063])).
% 250.26/36.52 thf(zip_derived_cl1065, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (~ (m2_relset_1 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (v1_group_6 @ X4 @ X2 @ X2)
% 250.26/36.52 | ~ (v1_funct_2 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (v1_funct_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ((r2_hidden @ X4 @ (k1_autgroup @ X2))
% 250.26/36.52 = (v4_group_6 @ X4 @ X2 @ X2)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1064])).
% 250.26/36.52 thf(zip_derived_cl1066, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk2')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ((r2_hidden @ '#sk2' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 = (v4_group_6 @ '#sk2' @ '#sk1' @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl542, zip_derived_cl1065])).
% 250.26/36.52 thf(zip_derived_cl80, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
% 250.26/36.52 thf(zip_derived_cl539, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 ( (v1_funct_1 @ X8)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_fraenkel @ X8 @ X2 @ X4 @ X6))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl536])).
% 250.26/36.52 thf(zip_derived_cl548, plain,
% 250.26/36.52 (( (v1_funct_1 @ '#sk2')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl539])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl550, plain,
% 250.26/36.52 (( (v1_funct_1 @ '#sk2') | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl548, zip_derived_cl437])).
% 250.26/36.52 thf(fc1_struct_0, axiom,
% 250.26/36.52 (![A:$i]:
% 250.26/36.52 ( ( ( l1_struct_0 @ A ) & ( ~( v3_struct_0 @ A ) ) ) =>
% 250.26/36.52 ( ~( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ))).
% 250.26/36.52 thf(zip_derived_cl38, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_struct_0 @ Y0) & (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (((~) @ (v1_xboole_0 @ (u1_struct_0 @ Y0)))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [fc1_struct_0])).
% 250.26/36.52 thf(zip_derived_cl255, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((((l1_struct_0 @ X2) & (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((~) @ (v1_xboole_0 @ (u1_struct_0 @ X2))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl38])).
% 250.26/36.52 thf(zip_derived_cl256, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (((l1_struct_0 @ X2) & (((~) @ (v3_struct_0 @ X2)))))
% 250.26/36.52 | ~ (v1_xboole_0 @ (u1_struct_0 @ X2)))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl255])).
% 250.26/36.52 thf(zip_derived_cl257, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (l1_struct_0 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v1_xboole_0 @ (u1_struct_0 @ X2)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl256])).
% 250.26/36.52 thf(zip_derived_cl554, plain,
% 250.26/36.52 (( (v1_funct_1 @ '#sk2')
% 250.26/36.52 | ~ (l1_struct_0 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl550, zip_derived_cl257])).
% 250.26/36.52 thf(dt_l1_group_1, axiom,
% 250.26/36.52 (![A:$i]: ( ( l1_group_1 @ A ) => ( l1_struct_0 @ A ) ))).
% 250.26/36.52 thf(zip_derived_cl20, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]: (((l1_group_1 @ Y0) => (l1_struct_0 @ Y0))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [dt_l1_group_1])).
% 250.26/36.52 thf(zip_derived_cl102, plain,
% 250.26/36.52 (![X2 : $i]: (((l1_group_1 @ X2) => (l1_struct_0 @ X2)))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])).
% 250.26/36.52 thf(zip_derived_cl103, plain,
% 250.26/36.52 (![X2 : $i]: (~ (l1_group_1 @ X2) | (l1_struct_0 @ X2))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl102])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl104, plain, ( (l1_struct_0 @ '#sk1')),
% 250.26/36.52 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl74])).
% 250.26/36.52 thf(zip_derived_cl556, plain,
% 250.26/36.52 (( (v1_funct_1 @ '#sk2') | (v3_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl554, zip_derived_cl104])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl592, plain, ( (v1_funct_1 @ '#sk2')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl556, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl77, plain, ( (v1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl1074, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((r2_hidden @ '#sk2' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 = (v4_group_6 @ '#sk2' @ '#sk1' @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1066, zip_derived_cl592, zip_derived_cl78,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl76, zip_derived_cl75,
% 250.26/36.52 zip_derived_cl74])).
% 250.26/36.52 thf(zip_derived_cl80, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
% 250.26/36.52 thf(zip_derived_cl538, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 ( (v1_funct_2 @ X8 @ X2 @ X4)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_fraenkel @ X8 @ X2 @ X4 @ X6))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl536])).
% 250.26/36.52 thf(zip_derived_cl668, plain,
% 250.26/36.52 (( (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl538])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl670, plain,
% 250.26/36.52 (( (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl668, zip_derived_cl437])).
% 250.26/36.52 thf(zip_derived_cl1468, plain,
% 250.26/36.52 ((((r2_hidden @ '#sk2' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 = (v4_group_6 @ '#sk2' @ '#sk1' @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl1074, zip_derived_cl670])).
% 250.26/36.52 thf(zip_derived_cl1470, plain,
% 250.26/36.52 ((~ (r2_hidden @ '#sk2' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 | (v4_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1'))),
% 250.26/36.52 inference('eq_elim', [status(thm)], [zip_derived_cl1468])).
% 250.26/36.52 thf(zip_derived_cl80, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
% 250.26/36.52 thf(redefinition_m2_fraenkel, axiom,
% 250.26/36.52 (![A:$i,B:$i,C:$i]:
% 250.26/36.52 ( ( ( m1_fraenkel @ C @ A @ B ) & ( ~( v1_xboole_0 @ B ) ) ) =>
% 250.26/36.52 ( ![D:$i]:
% 250.26/36.52 ( ( m2_fraenkel @ D @ A @ B @ C ) <=> ( m1_subset_1 @ D @ C ) ) ) ))).
% 250.26/36.52 thf(zip_derived_cl58, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m1_fraenkel @ Y2 @ Y0 @ Y1) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ Y1))))) =>
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((m2_fraenkel @
% 250.26/36.52 Y3 @ Y0 @ Y1 @
% 250.26/36.52 Y2) <=>
% 250.26/36.52 (m1_subset_1 @
% 250.26/36.52 Y3 @ Y2)))))))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [redefinition_m2_fraenkel])).
% 250.26/36.52 thf(zip_derived_cl956, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m1_fraenkel @ Y1 @ X2 @ Y0) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y2 @ X2 @
% 250.26/36.52 Y0 @ Y1) <=> (m1_subset_1 @
% 250.26/36.52 Y2 @ Y1))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl58])).
% 250.26/36.52 thf(zip_derived_cl957, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m1_fraenkel @ Y0 @ X2 @ X4) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y1 @ X2 @ X4 @ Y0) <=>
% 250.26/36.52 (m1_subset_1 @ Y1 @ Y0)))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl956])).
% 250.26/36.52 thf(zip_derived_cl958, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (((((m1_fraenkel @ X6 @ X2 @ X4) & (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ X2 @ X4 @ X6) <=> (m1_subset_1 @
% 250.26/36.52 Y0 @ X6))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl957])).
% 250.26/36.52 thf(zip_derived_cl959, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (~ (((m1_fraenkel @ X6 @ X2 @ X4) & (((~) @ (v1_xboole_0 @ X4)))))
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ X2 @ X4 @ X6) <=>
% 250.26/36.52 (m1_subset_1 @ Y0 @ X6)))))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl958])).
% 250.26/36.52 thf(zip_derived_cl960, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ Y0 @ X2 @ X4 @ X6) <=>
% 250.26/36.52 (m1_subset_1 @ Y0 @ X6)))))))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl959])).
% 250.26/36.52 thf(zip_derived_cl961, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 ( (((m2_fraenkel @ X8 @ X2 @ X4 @ X6) <=> (m1_subset_1 @ X8 @ X6)))
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl960])).
% 250.26/36.52 thf(zip_derived_cl962, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 (((m2_fraenkel @ X8 @ X2 @ X4 @ X6) = (m1_subset_1 @ X8 @ X6))
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl961])).
% 250.26/36.52 thf(zip_derived_cl968, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 (~ (m2_fraenkel @ X8 @ X2 @ X4 @ X6)
% 250.26/36.52 | (m1_subset_1 @ X8 @ X6)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | (v1_xboole_0 @ X4))),
% 250.26/36.52 inference('eq_elim', [status(thm)], [zip_derived_cl962])).
% 250.26/36.52 thf(zip_derived_cl969, plain,
% 250.26/36.52 (( (m1_subset_1 @ '#sk2' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl968])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl971, plain,
% 250.26/36.52 (( (m1_subset_1 @ '#sk2' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl969, zip_derived_cl437])).
% 250.26/36.52 thf(t2_subset, axiom,
% 250.26/36.52 (![A:$i,B:$i]:
% 250.26/36.52 ( ( m1_subset_1 @ A @ B ) =>
% 250.26/36.52 ( ( r2_hidden @ A @ B ) | ( v1_xboole_0 @ B ) ) ))).
% 250.26/36.52 thf(zip_derived_cl62, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m1_subset_1 @ Y0 @ Y1) =>
% 250.26/36.52 (((r2_hidden @ Y0 @ Y1) | (v1_xboole_0 @ Y1)))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [t2_subset])).
% 250.26/36.52 thf(zip_derived_cl315, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m1_subset_1 @ X2 @ Y0) =>
% 250.26/36.52 (((r2_hidden @ X2 @ Y0) | (v1_xboole_0 @ Y0))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl62])).
% 250.26/36.52 thf(zip_derived_cl316, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (((m1_subset_1 @ X2 @ X4) =>
% 250.26/36.52 (((r2_hidden @ X2 @ X4) | (v1_xboole_0 @ X4)))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl315])).
% 250.26/36.52 thf(zip_derived_cl317, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (~ (m1_subset_1 @ X2 @ X4)
% 250.26/36.52 | (((r2_hidden @ X2 @ X4) | (v1_xboole_0 @ X4))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl316])).
% 250.26/36.52 thf(zip_derived_cl318, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 ( (r2_hidden @ X2 @ X4)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_subset_1 @ X2 @ X4))),
% 250.26/36.52 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl317])).
% 250.26/36.52 thf(zip_derived_cl979, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (r2_hidden @ '#sk2' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl971, zip_derived_cl318])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(dt_m1_fraenkel, axiom,
% 250.26/36.52 (![A:$i,B:$i,C:$i]:
% 250.26/36.52 ( ( m1_fraenkel @ C @ A @ B ) =>
% 250.26/36.52 ( ( v1_fraenkel @ C ) & ( ~( v1_xboole_0 @ C ) ) ) ))).
% 250.26/36.52 thf(zip_derived_cl22, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((m1_fraenkel @ Y2 @ Y0 @ Y1) =>
% 250.26/36.52 (((v1_fraenkel @ Y2) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ Y2))))))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [dt_m1_fraenkel])).
% 250.26/36.52 thf(zip_derived_cl327, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m1_fraenkel @ Y1 @ X2 @ Y0) =>
% 250.26/36.52 (((v1_fraenkel @ Y1) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ Y1)))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])).
% 250.26/36.52 thf(zip_derived_cl328, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m1_fraenkel @ Y0 @ X2 @ X4) =>
% 250.26/36.52 (((v1_fraenkel @ Y0) & (((~) @ (v1_xboole_0 @ Y0))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl327])).
% 250.26/36.52 thf(zip_derived_cl329, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (((m1_fraenkel @ X6 @ X2 @ X4) =>
% 250.26/36.52 (((v1_fraenkel @ X6) & (((~) @ (v1_xboole_0 @ X6)))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl328])).
% 250.26/36.52 thf(zip_derived_cl330, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | (((v1_fraenkel @ X6) & (((~) @ (v1_xboole_0 @ X6))))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl329])).
% 250.26/36.52 thf(zip_derived_cl332, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (~ (v1_xboole_0 @ X6) | ~ (m1_fraenkel @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl330])).
% 250.26/36.52 thf(zip_derived_cl442, plain, (~ (v1_xboole_0 @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl437, zip_derived_cl332])).
% 250.26/36.52 thf(zip_derived_cl982, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (r2_hidden @ '#sk2' @ (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl979, zip_derived_cl442])).
% 250.26/36.52 thf(zip_derived_cl1473, plain,
% 250.26/36.52 ((~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v4_group_6 @ '#sk2' @ '#sk1' @ '#sk1'))),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl1470, zip_derived_cl982])).
% 250.26/36.52 thf(zip_derived_cl80, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
% 250.26/36.52 thf(zip_derived_cl351, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X5 : $i]:
% 250.26/36.52 ( (v1_group_6 @ X5 @ X2 @ X2)
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ((X4) != (k1_autgroup @ X2))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (m2_fraenkel @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @ X4))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl349])).
% 250.26/36.52 thf(zip_derived_cl1799, plain,
% 250.26/36.52 (( (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1'))
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl351])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl77, plain, ( (v1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl1806, plain,
% 250.26/36.52 (( (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1799, zip_derived_cl437, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl76, zip_derived_cl77,
% 250.26/36.52 zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1807, plain, ( (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1806])).
% 250.26/36.52 thf(zip_derived_cl1817, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v4_group_6 @ '#sk2' @ '#sk1' @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1473, zip_derived_cl1807])).
% 250.26/36.52 thf(zip_derived_cl542, plain,
% 250.26/36.52 (( (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl540, zip_derived_cl437])).
% 250.26/36.52 thf(t74_group_6, axiom,
% 250.26/36.52 (![A:$i]:
% 250.26/36.52 ( ( ( l1_group_1 @ A ) & ( v4_group_1 @ A ) & ( v3_group_1 @ A ) &
% 250.26/36.52 ( ~( v3_struct_0 @ A ) ) ) =>
% 250.26/36.52 ( ![B:$i]:
% 250.26/36.52 ( ( ( l1_group_1 @ B ) & ( v4_group_1 @ B ) & ( v3_group_1 @ B ) &
% 250.26/36.52 ( ~( v3_struct_0 @ B ) ) ) =>
% 250.26/36.52 ( ![C:$i]:
% 250.26/36.52 ( ( ( l1_group_1 @ C ) & ( v4_group_1 @ C ) &
% 250.26/36.52 ( v3_group_1 @ C ) & ( ~( v3_struct_0 @ C ) ) ) =>
% 250.26/36.52 ( ![D:$i]:
% 250.26/36.52 ( ( ( m2_relset_1 @
% 250.26/36.52 D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) &
% 250.26/36.52 ( v1_group_6 @ D @ A @ B ) &
% 250.26/36.52 ( v1_funct_2 @
% 250.26/36.52 D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) &
% 250.26/36.52 ( v1_funct_1 @ D ) ) =>
% 250.26/36.52 ( ![E:$i]:
% 250.26/36.52 ( ( ( m2_relset_1 @
% 250.26/36.52 E @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) &
% 250.26/36.52 ( v1_group_6 @ E @ B @ C ) &
% 250.26/36.52 ( v1_funct_2 @
% 250.26/36.52 E @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) &
% 250.26/36.52 ( v1_funct_1 @ E ) ) =>
% 250.26/36.52 ( ( ( v4_group_6 @ E @ B @ C ) &
% 250.26/36.52 ( v4_group_6 @ D @ A @ B ) ) =>
% 250.26/36.52 ( v4_group_6 @
% 250.26/36.52 ( k8_group_6 @ A @ B @ C @ D @ E ) @ A @ C ) ) ) ) ) ) ) ) ) ) ))).
% 250.26/36.52 thf(zip_derived_cl68, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y0) & (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) & (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y1) & (v4_group_1 @ Y1) &
% 250.26/36.52 (v3_group_1 @ Y1) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ Y1))))) =>
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y2) &
% 250.26/36.52 (v4_group_1 @ Y2) &
% 250.26/36.52 (v3_group_1 @ Y2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ Y2))))) =>
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((((m2_relset_1 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_group_6 @
% 250.26/36.52 Y3 @ Y0 @ Y1) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_funct_1 @
% 250.26/36.52 Y3))) =>
% 250.26/36.52 (((!!) @ (
% 250.26/36.52 ^[Y4 : $i]:
% 250.26/36.52 ((((
% 250.26/36.52 (
% 250.26/36.52 m2_relset_1 @
% 250.26/36.52 Y4 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y2)) &
% 250.26/36.52 (
% 250.26/36.52 v1_group_6 @
% 250.26/36.52 Y4 @
% 250.26/36.52 Y1 @ Y2) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 Y4 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y2)) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 Y4))) =>
% 250.26/36.52 ((
% 250.26/36.52 ((
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 Y4 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2) &
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y0 @ Y1))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (
% 250.26/36.52 k8_group_6 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 Y3 @ Y4) @
% 250.26/36.52 Y0 @ Y2))))))))))))))))))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [t74_group_6])).
% 250.26/36.52 thf(zip_derived_cl1172, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((((l1_group_1 @ X2) & (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y0) & (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) & (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y1) &
% 250.26/36.52 (v4_group_1 @ Y1) &
% 250.26/36.52 (v3_group_1 @ Y1) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ Y1))))) =>
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @ Y2 @
% 250.26/36.52 X2 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2))) =>
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((((
% 250.26/36.52 m2_relset_1 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (
% 250.26/36.52 v1_group_6 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y0 @ Y1) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 Y3))) =>
% 250.26/36.52 ((((
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1) &
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 Y2 @
% 250.26/36.52 X2 @ Y0))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (
% 250.26/36.52 k8_group_6 @
% 250.26/36.52 X2 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @ Y3) @
% 250.26/36.52 X2 @ Y1)))))))))))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl68])).
% 250.26/36.52 thf(zip_derived_cl1173, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (((l1_group_1 @ X2) & (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2)))))
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y0) & (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) & (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y1) &
% 250.26/36.52 (v4_group_1 @ Y1) &
% 250.26/36.52 (v3_group_1 @ Y1) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ Y1))))) =>
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @ Y2 @
% 250.26/36.52 X2 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2))) =>
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 ((((
% 250.26/36.52 (m2_relset_1 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_group_6 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y0 @ Y1) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_funct_1 @
% 250.26/36.52 Y3))) =>
% 250.26/36.52 ((
% 250.26/36.52 ((
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 Y3 @ Y0 @
% 250.26/36.52 Y1) &
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 Y2 @ X2 @
% 250.26/36.52 Y0))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (k8_group_6 @
% 250.26/36.52 X2 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @ Y3) @
% 250.26/36.52 X2 @ Y1))))))))))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1172])).
% 250.26/36.52 thf(zip_derived_cl1174, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y0) & (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) & (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y1) &
% 250.26/36.52 (v4_group_1 @ Y1) &
% 250.26/36.52 (v3_group_1 @ Y1) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ Y1))))) =>
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @ Y2 @
% 250.26/36.52 X2 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2))) =>
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 ((((
% 250.26/36.52 (m2_relset_1 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_group_6 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y0 @ Y1) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_funct_1 @
% 250.26/36.52 Y3))) =>
% 250.26/36.52 ((
% 250.26/36.52 ((
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 Y3 @ Y0 @
% 250.26/36.52 Y1) &
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 Y2 @ X2 @
% 250.26/36.52 Y0))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (k8_group_6 @
% 250.26/36.52 X2 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @ Y3) @
% 250.26/36.52 X2 @ Y1))))))))))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1173])).
% 250.26/36.52 thf(zip_derived_cl1175, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 ( (((((l1_group_1 @ X4) & (v4_group_1 @ X4) & (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))))) =>
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y0) & (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) & (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ Y1))) =>
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @ Y2 @
% 250.26/36.52 X4 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2))) =>
% 250.26/36.52 (((((v4_group_6 @ Y2 @
% 250.26/36.52 X4 @ Y0) &
% 250.26/36.52 (v4_group_6 @ Y1 @
% 250.26/36.52 X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @
% 250.26/36.52 X4 @ Y0 @ Y1 @ Y2) @
% 250.26/36.52 X2 @ Y0))))))))))))))))))))
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1174])).
% 250.26/36.52 thf(zip_derived_cl1176, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (~ (((l1_group_1 @ X4) & (v4_group_1 @ X4) & (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4)))))
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y0) & (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) & (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ Y1))) =>
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @ Y2 @
% 250.26/36.52 X4 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2))) =>
% 250.26/36.52 (((((v4_group_6 @ Y2 @
% 250.26/36.52 X4 @ Y0) &
% 250.26/36.52 (v4_group_6 @ Y1 @
% 250.26/36.52 X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @
% 250.26/36.52 X4 @ Y0 @ Y1 @ Y2) @
% 250.26/36.52 X2 @ Y0))))))))))))))))))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1175])).
% 250.26/36.52 thf(zip_derived_cl1177, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (~ (l1_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((l1_group_1 @ Y0) & (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) & (((~) @ (v3_struct_0 @ Y0))))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ Y1))) =>
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @ Y2 @
% 250.26/36.52 X4 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2))) =>
% 250.26/36.52 (((((v4_group_6 @ Y2 @
% 250.26/36.52 X4 @ Y0) &
% 250.26/36.52 (v4_group_6 @ Y1 @
% 250.26/36.52 X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @
% 250.26/36.52 X4 @ Y0 @ Y1 @ Y2) @
% 250.26/36.52 X2 @ Y0)))))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1176])).
% 250.26/36.52 thf(zip_derived_cl1178, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 ( (((((l1_group_1 @ X6) & (v4_group_1 @ X6) & (v3_group_1 @ X6) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X6))))) =>
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ Y1))) =>
% 250.26/36.52 (((((v4_group_6 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v4_group_6 @ Y0 @ X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ Y0 @ Y1) @
% 250.26/36.52 X2 @ X6)))))))))))))))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (l1_group_1 @ X4))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1177])).
% 250.26/36.52 thf(zip_derived_cl1179, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (~ (((l1_group_1 @ X6) & (v4_group_1 @ X6) & (v3_group_1 @ X6) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X6)))))
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ Y1))) =>
% 250.26/36.52 (((((v4_group_6 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v4_group_6 @ Y0 @ X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ Y0 @ Y1) @
% 250.26/36.52 X2 @ X6)))))))))))))
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1178])).
% 250.26/36.52 thf(zip_derived_cl1180, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (~ (l1_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ Y1))) =>
% 250.26/36.52 (((((v4_group_6 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v4_group_6 @ Y0 @ X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ Y0 @ Y1) @
% 250.26/36.52 X2 @ X6))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1179])).
% 250.26/36.52 thf(zip_derived_cl1181, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 ( (((((m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ X8))) =>
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((((v4_group_6 @ Y0 @ X4 @ X6) & (v4_group_6 @
% 250.26/36.52 X8 @ X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ Y0) @ X2 @ X6))))))))))
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X6))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1180])).
% 250.26/36.52 thf(zip_derived_cl1182, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 (~ (((m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ X8)))
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((((v4_group_6 @ Y0 @ X4 @ X6) & (v4_group_6 @
% 250.26/36.52 X8 @ X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ Y0) @ X2 @ X6))))))))
% 250.26/36.52 | ~ (l1_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (l1_group_1 @ X4))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1181])).
% 250.26/36.52 thf(zip_derived_cl1183, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 (~ (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X6)
% 250.26/36.52 | (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ Y0 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ Y0))) =>
% 250.26/36.52 (((((v4_group_6 @ Y0 @ X4 @ X6) & (v4_group_6 @
% 250.26/36.52 X8 @ X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ Y0) @ X2 @ X6)))))))))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1182])).
% 250.26/36.52 thf(zip_derived_cl1184, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 ( (((((m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ X10))) =>
% 250.26/36.52 (((((v4_group_6 @ X10 @ X4 @ X6) & (v4_group_6 @ X8 @ X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6)))))
% 250.26/36.52 | ~ (l1_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1183])).
% 250.26/36.52 thf(zip_derived_cl1185, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (((m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ X10)))
% 250.26/36.52 | (((((v4_group_6 @ X10 @ X4 @ X6) & (v4_group_6 @ X8 @ X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6)))
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X6))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1184])).
% 250.26/36.52 thf(zip_derived_cl1186, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_group_6 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_funct_1 @ X10)
% 250.26/36.52 | ~ (l1_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | (((((v4_group_6 @ X10 @ X4 @ X6) & (v4_group_6 @ X8 @ X2 @ X4))) =>
% 250.26/36.52 (v4_group_6 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6))))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1185])).
% 250.26/36.52 thf(zip_derived_cl1187, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (((v4_group_6 @ X10 @ X4 @ X6) & (v4_group_6 @ X8 @ X2 @ X4)))
% 250.26/36.52 | (v4_group_6 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X6)
% 250.26/36.52 | ~ (v1_funct_1 @ X10)
% 250.26/36.52 | ~ (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_group_6 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1186])).
% 250.26/36.52 thf(zip_derived_cl1188, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (v4_group_6 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (v4_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_group_6 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_funct_1 @ X10)
% 250.26/36.52 | ~ (l1_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | (v4_group_6 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1187])).
% 250.26/36.52 thf(zip_derived_cl1189, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v4_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v4_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk2')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v4_group_6 @ (k8_group_6 @ X0 @ '#sk1' @ '#sk1' @ X1 @ '#sk2') @
% 250.26/36.52 X0 @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl542, zip_derived_cl1188])).
% 250.26/36.52 thf(zip_derived_cl592, plain, ( (v1_funct_1 @ '#sk2')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl556, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl1197, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v4_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v4_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v4_group_6 @ (k8_group_6 @ X0 @ '#sk1' @ '#sk1' @ X1 @ '#sk2') @
% 250.26/36.52 X0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1189, zip_derived_cl592, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl76, zip_derived_cl78,
% 250.26/36.52 zip_derived_cl78, zip_derived_cl76, zip_derived_cl75,
% 250.26/36.52 zip_derived_cl74])).
% 250.26/36.52 thf(zip_derived_cl1807, plain, ( (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1806])).
% 250.26/36.52 thf(zip_derived_cl80, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
% 250.26/36.52 thf(zip_derived_cl352, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X5 : $i]:
% 250.26/36.52 ( (v1_funct_2 @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ((X4) != (k1_autgroup @ X2))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (m2_fraenkel @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @ X4))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl349])).
% 250.26/36.52 thf(zip_derived_cl1838, plain,
% 250.26/36.52 (( (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1'))
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl352])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl77, plain, ( (v1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl1845, plain,
% 250.26/36.52 (( (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1838, zip_derived_cl437, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl76, zip_derived_cl77,
% 250.26/36.52 zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1846, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1845])).
% 250.26/36.52 thf(zip_derived_cl5696, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v4_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v4_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v4_group_6 @ (k8_group_6 @ X0 @ '#sk1' @ '#sk1' @ X1 @ '#sk2') @
% 250.26/36.52 X0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1197, zip_derived_cl1807, zip_derived_cl1846])).
% 250.26/36.52 thf(zip_derived_cl5697, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v4_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v4_group_6 @ (k8_group_6 @ X0 @ '#sk1' @ '#sk1' @ X1 @ '#sk2') @
% 250.26/36.52 X0 @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1817, zip_derived_cl5696])).
% 250.26/36.52 thf(zip_derived_cl5698, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v4_group_6 @ (k8_group_6 @ X0 @ '#sk1' @ '#sk1' @ X1 @ '#sk2') @
% 250.26/36.52 X0 @ '#sk1')
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl5697])).
% 250.26/36.52 thf(zip_derived_cl109710, plain,
% 250.26/36.52 (( (v4_group_6 @
% 250.26/36.52 (k8_group_6 @ '#sk1' @ '#sk1' @ '#sk1' @ '#sk3' @ '#sk2') @ '#sk1' @
% 250.26/36.52 '#sk1')
% 250.26/36.52 | ~ (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk3')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1747, zip_derived_cl5698])).
% 250.26/36.52 thf(zip_derived_cl1747, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1746])).
% 250.26/36.52 thf(zip_derived_cl80, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl79])).
% 250.26/36.52 thf(zip_derived_cl350, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X5 : $i]:
% 250.26/36.52 ( (m2_relset_1 @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ((X4) != (k1_autgroup @ X2))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (m2_fraenkel @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @ X4))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl349])).
% 250.26/36.52 thf(zip_derived_cl1737, plain,
% 250.26/36.52 (( (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1'))
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl80, zip_derived_cl350])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl77, plain, ( (v1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl1744, plain,
% 250.26/36.52 (( (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1737, zip_derived_cl437, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl76, zip_derived_cl77,
% 250.26/36.52 zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1745, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1744])).
% 250.26/36.52 thf(redefinition_k8_group_6, axiom,
% 250.26/36.52 (![A:$i,B:$i,C:$i,D:$i,E:$i]:
% 250.26/36.52 ( ( ( m1_relset_1 @ E @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) &
% 250.26/36.52 ( v1_group_6 @ E @ B @ C ) &
% 250.26/36.52 ( v1_funct_2 @ E @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) &
% 250.26/36.52 ( v1_funct_1 @ E ) &
% 250.26/36.52 ( m1_relset_1 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) &
% 250.26/36.52 ( v1_group_6 @ D @ A @ B ) &
% 250.26/36.52 ( v1_funct_2 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) &
% 250.26/36.52 ( v1_funct_1 @ D ) & ( l1_group_1 @ C ) & ( v4_group_1 @ C ) &
% 250.26/36.52 ( v3_group_1 @ C ) & ( ~( v3_struct_0 @ C ) ) & ( l1_group_1 @ B ) &
% 250.26/36.52 ( v4_group_1 @ B ) & ( v3_group_1 @ B ) & ( ~( v3_struct_0 @ B ) ) &
% 250.26/36.52 ( l1_group_1 @ A ) & ( v4_group_1 @ A ) & ( v3_group_1 @ A ) &
% 250.26/36.52 ( ~( v3_struct_0 @ A ) ) ) =>
% 250.26/36.52 ( ( k8_group_6 @ A @ B @ C @ D @ E ) = ( k5_relat_1 @ D @ E ) ) ))).
% 250.26/36.52 thf(zip_derived_cl57, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((!!) @ (^[Y4 : $i]:
% 250.26/36.52 ((((
% 250.26/36.52 (
% 250.26/36.52 m1_relset_1 @
% 250.26/36.52 Y4 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y2)) &
% 250.26/36.52 (
% 250.26/36.52 v1_group_6 @
% 250.26/36.52 Y4 @
% 250.26/36.52 Y1 @ Y2) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 Y4 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y2)) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 Y4) &
% 250.26/36.52 (
% 250.26/36.52 m1_relset_1 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (
% 250.26/36.52 v1_group_6 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y0 @ Y1) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 Y3) &
% 250.26/36.52 (
% 250.26/36.52 l1_group_1 @
% 250.26/36.52 Y2) &
% 250.26/36.52 (
% 250.26/36.52 v4_group_1 @
% 250.26/36.52 Y2) &
% 250.26/36.52 (
% 250.26/36.52 v3_group_1 @
% 250.26/36.52 Y2) &
% 250.26/36.52 (
% 250.26/36.52 (
% 250.26/36.52 (~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 Y2))) &
% 250.26/36.52 (
% 250.26/36.52 l1_group_1 @
% 250.26/36.52 Y1) &
% 250.26/36.52 (
% 250.26/36.52 v4_group_1 @
% 250.26/36.52 Y1) &
% 250.26/36.52 (
% 250.26/36.52 v3_group_1 @
% 250.26/36.52 Y1) &
% 250.26/36.52 (
% 250.26/36.52 (
% 250.26/36.52 (~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 Y1))) &
% 250.26/36.52 (
% 250.26/36.52 l1_group_1 @
% 250.26/36.52 Y0) &
% 250.26/36.52 (
% 250.26/36.52 v4_group_1 @
% 250.26/36.52 Y0) &
% 250.26/36.52 (
% 250.26/36.52 v3_group_1 @
% 250.26/36.52 Y0) &
% 250.26/36.52 (
% 250.26/36.52 (
% 250.26/36.52 (~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 Y0))))) =>
% 250.26/36.52 ((
% 250.26/36.52 (k8_group_6 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y4) =
% 250.26/36.52 (k5_relat_1 @
% 250.26/36.52 Y3 @ Y4))))))))))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [redefinition_k8_group_6])).
% 250.26/36.52 thf(zip_derived_cl905, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((((m1_relset_1 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_group_6 @
% 250.26/36.52 Y3 @ Y0 @ Y1) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_funct_1 @ Y3) &
% 250.26/36.52 (m1_relset_1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 X2) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y0)) &
% 250.26/36.52 (v1_group_6 @
% 250.26/36.52 Y2 @ X2 @ Y0) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y2 @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 X2) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2) &
% 250.26/36.52 (l1_group_1 @ Y1) &
% 250.26/36.52 (v4_group_1 @ Y1) &
% 250.26/36.52 (v3_group_1 @ Y1) &
% 250.26/36.52 (((~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 Y1))) &
% 250.26/36.52 (l1_group_1 @ Y0) &
% 250.26/36.52 (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) &
% 250.26/36.52 (((~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 Y0))) &
% 250.26/36.52 (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) &
% 250.26/36.52 (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 X2))))) =>
% 250.26/36.52 (((k8_group_6 @
% 250.26/36.52 X2 @ Y0 @ Y1 @
% 250.26/36.52 Y2 @ Y3) =
% 250.26/36.52 (k5_relat_1 @
% 250.26/36.52 Y2 @ Y3)))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl57])).
% 250.26/36.52 thf(zip_derived_cl906, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @ Y2 @ X4 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2) &
% 250.26/36.52 (m1_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ Y1) &
% 250.26/36.52 (l1_group_1 @ Y0) &
% 250.26/36.52 (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ Y0))) &
% 250.26/36.52 (l1_group_1 @ X4) &
% 250.26/36.52 (v4_group_1 @ X4) &
% 250.26/36.52 (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) &
% 250.26/36.52 (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) &
% 250.26/36.52 (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((k8_group_6 @ X2 @ X4 @ Y0 @
% 250.26/36.52 Y1 @ Y2) = (k5_relat_1 @
% 250.26/36.52 Y1 @ Y2))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl905])).
% 250.26/36.52 thf(zip_derived_cl907, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y1 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y1 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ Y1) &
% 250.26/36.52 (m1_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ Y0) & (l1_group_1 @ X6) &
% 250.26/36.52 (v4_group_1 @ X6) & (v3_group_1 @ X6) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X6))) &
% 250.26/36.52 (l1_group_1 @ X4) & (v4_group_1 @ X4) &
% 250.26/36.52 (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) &
% 250.26/36.52 (l1_group_1 @ X2) & (v4_group_1 @ X2) &
% 250.26/36.52 (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((k8_group_6 @ X2 @ X4 @ X6 @ Y0 @ Y1) =
% 250.26/36.52 (k5_relat_1 @ Y0 @ Y1)))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl906])).
% 250.26/36.52 thf(zip_derived_cl908, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y0 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ Y0) &
% 250.26/36.52 (m1_relset_1 @ X8 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ X8) & (l1_group_1 @ X6) &
% 250.26/36.52 (v4_group_1 @ X6) & (v3_group_1 @ X6) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X6))) & (l1_group_1 @ X4) &
% 250.26/36.52 (v4_group_1 @ X4) & (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) & (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((k8_group_6 @ X2 @ X4 @ X6 @ X8 @ Y0) =
% 250.26/36.52 (k5_relat_1 @ X8 @ Y0))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl907])).
% 250.26/36.52 thf(zip_derived_cl909, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ X10) &
% 250.26/36.52 (m1_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ X8) & (l1_group_1 @ X6) & (v4_group_1 @ X6) &
% 250.26/36.52 (v3_group_1 @ X6) & (((~) @ (v3_struct_0 @ X6))) &
% 250.26/36.52 (l1_group_1 @ X4) & (v4_group_1 @ X4) & (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) & (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) = (k5_relat_1 @ X8 @ X10)))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl908])).
% 250.26/36.52 thf(redefinition_m2_relset_1, axiom,
% 250.26/36.52 (![A:$i,B:$i,C:$i]:
% 250.26/36.52 ( ( m2_relset_1 @ C @ A @ B ) <=> ( m1_relset_1 @ C @ A @ B ) ))).
% 250.26/36.52 thf(zip_derived_cl59, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((m2_relset_1 @ Y2 @ Y0 @ Y1) <=>
% 250.26/36.52 (m1_relset_1 @ Y2 @ Y0 @ Y1))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [redefinition_m2_relset_1])).
% 250.26/36.52 thf(zip_derived_cl273, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((m2_relset_1 @ Y1 @ X2 @ Y0) <=>
% 250.26/36.52 (m1_relset_1 @ Y1 @ X2 @ Y0)))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl59])).
% 250.26/36.52 thf(zip_derived_cl274, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((m2_relset_1 @ Y0 @ X2 @ X4) <=> (m1_relset_1 @ Y0 @
% 250.26/36.52 X2 @ X4))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl273])).
% 250.26/36.52 thf(zip_derived_cl275, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (((m2_relset_1 @ X6 @ X2 @ X4) <=> (m1_relset_1 @ X6 @ X2 @ X4)))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl274])).
% 250.26/36.52 thf(zip_derived_cl276, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 ((m2_relset_1 @ X6 @ X2 @ X4) = (m1_relset_1 @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl275])).
% 250.26/36.52 thf(zip_derived_cl276, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 ((m2_relset_1 @ X6 @ X2 @ X4) = (m1_relset_1 @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl275])).
% 250.26/36.52 thf(zip_derived_cl910, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ X10) &
% 250.26/36.52 (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ X8) & (l1_group_1 @ X6) & (v4_group_1 @ X6) &
% 250.26/36.52 (v3_group_1 @ X6) & (((~) @ (v3_struct_0 @ X6))) &
% 250.26/36.52 (l1_group_1 @ X4) & (v4_group_1 @ X4) & (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) & (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) = (k5_relat_1 @ X8 @ X10)))))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl909, zip_derived_cl276, zip_derived_cl276])).
% 250.26/36.52 thf(zip_derived_cl911, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (((m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ X10) &
% 250.26/36.52 (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ X8) & (l1_group_1 @ X6) & (v4_group_1 @ X6) &
% 250.26/36.52 (v3_group_1 @ X6) & (((~) @ (v3_struct_0 @ X6))) &
% 250.26/36.52 (l1_group_1 @ X4) & (v4_group_1 @ X4) & (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) & (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2)))))
% 250.26/36.52 | (((k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) = (k5_relat_1 @ X8 @ X10))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl910])).
% 250.26/36.52 thf(zip_derived_cl912, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (((m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ X10) &
% 250.26/36.52 (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ X8) & (l1_group_1 @ X6) & (v4_group_1 @ X6) &
% 250.26/36.52 (v3_group_1 @ X6) & (((~) @ (v3_struct_0 @ X6))) &
% 250.26/36.52 (l1_group_1 @ X4) & (v4_group_1 @ X4) & (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) & (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2)))))
% 250.26/36.52 | ((k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) = (k5_relat_1 @ X8 @ X10)))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl911])).
% 250.26/36.52 thf(zip_derived_cl913, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_group_6 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_funct_1 @ X10)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (l1_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ((k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) = (k5_relat_1 @ X8 @ X10)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl912])).
% 250.26/36.52 thf(zip_derived_cl1757, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 (~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk2')
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | ((k8_group_6 @ X0 @ '#sk1' @ '#sk1' @ X1 @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ X1 @ '#sk2')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1745, zip_derived_cl913])).
% 250.26/36.52 thf(zip_derived_cl592, plain, ( (v1_funct_1 @ '#sk2')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl556, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl1762, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 (~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | ((k8_group_6 @ X0 @ '#sk1' @ '#sk1' @ X1 @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ X1 @ '#sk2')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1757, zip_derived_cl592, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl76, zip_derived_cl78,
% 250.26/36.52 zip_derived_cl74, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1807, plain, ( (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1806])).
% 250.26/36.52 thf(zip_derived_cl1846, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1845])).
% 250.26/36.52 thf(zip_derived_cl12802, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 (~ (m2_relset_1 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ X0 @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ X0) @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | ((k8_group_6 @ X0 @ '#sk1' @ '#sk1' @ X1 @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ X1 @ '#sk2')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1762, zip_derived_cl1807, zip_derived_cl1846])).
% 250.26/36.52 thf(zip_derived_cl12836, plain,
% 250.26/36.52 ((~ (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk3')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ((k8_group_6 @ '#sk1' @ '#sk1' @ '#sk1' @ '#sk3' @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ '#sk3' @ '#sk2')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1747, zip_derived_cl12802])).
% 250.26/36.52 thf(zip_derived_cl83, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 250.26/36.52 thf(zip_derived_cl351, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X5 : $i]:
% 250.26/36.52 ( (v1_group_6 @ X5 @ X2 @ X2)
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ((X4) != (k1_autgroup @ X2))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (m2_fraenkel @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @ X4))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl349])).
% 250.26/36.52 thf(zip_derived_cl1800, plain,
% 250.26/36.52 (( (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1'))
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl351])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl77, plain, ( (v1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl1808, plain,
% 250.26/36.52 (( (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1800, zip_derived_cl437, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl76, zip_derived_cl77,
% 250.26/36.52 zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1809, plain, ( (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1808])).
% 250.26/36.52 thf(zip_derived_cl83, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 250.26/36.52 thf(zip_derived_cl352, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X5 : $i]:
% 250.26/36.52 ( (v1_funct_2 @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (m1_fraenkel @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ((X4) != (k1_autgroup @ X2))
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (m2_fraenkel @ X5 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2) @ X4))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl349])).
% 250.26/36.52 thf(zip_derived_cl1839, plain,
% 250.26/36.52 (( (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1'))
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl352])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl77, plain, ( (v1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl1847, plain,
% 250.26/36.52 (( (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k1_autgroup @ '#sk1') != (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1839, zip_derived_cl437, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl76, zip_derived_cl77,
% 250.26/36.52 zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1848, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1847])).
% 250.26/36.52 thf(zip_derived_cl83, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 250.26/36.52 thf(zip_derived_cl539, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 ( (v1_funct_1 @ X8)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_fraenkel @ X8 @ X2 @ X4 @ X6))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl536])).
% 250.26/36.52 thf(zip_derived_cl549, plain,
% 250.26/36.52 (( (v1_funct_1 @ '#sk3')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl539])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl551, plain,
% 250.26/36.52 (( (v1_funct_1 @ '#sk3') | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl549, zip_derived_cl437])).
% 250.26/36.52 thf(zip_derived_cl257, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (l1_struct_0 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v1_xboole_0 @ (u1_struct_0 @ X2)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl256])).
% 250.26/36.52 thf(zip_derived_cl597, plain,
% 250.26/36.52 (( (v1_funct_1 @ '#sk3')
% 250.26/36.52 | ~ (l1_struct_0 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl551, zip_derived_cl257])).
% 250.26/36.52 thf(zip_derived_cl104, plain, ( (l1_struct_0 @ '#sk1')),
% 250.26/36.52 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl74])).
% 250.26/36.52 thf(zip_derived_cl599, plain,
% 250.26/36.52 (( (v1_funct_1 @ '#sk3') | (v3_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl597, zip_derived_cl104])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl650, plain, ( (v1_funct_1 @ '#sk3')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl12885, plain,
% 250.26/36.52 (((k8_group_6 @ '#sk1' @ '#sk1' @ '#sk1' @ '#sk3' @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ '#sk3' @ '#sk2'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl12836, zip_derived_cl1809, zip_derived_cl1848,
% 250.26/36.52 zip_derived_cl650, zip_derived_cl74, zip_derived_cl75,
% 250.26/36.52 zip_derived_cl76, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1809, plain, ( (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1808])).
% 250.26/36.52 thf(zip_derived_cl1848, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1847])).
% 250.26/36.52 thf(zip_derived_cl650, plain, ( (v1_funct_1 @ '#sk3')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl110046, plain,
% 250.26/36.52 (( (v4_group_6 @ (k5_relat_1 @ '#sk3' @ '#sk2') @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v4_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl109710, zip_derived_cl12885,
% 250.26/36.52 zip_derived_cl1809, zip_derived_cl1848, zip_derived_cl650,
% 250.26/36.52 zip_derived_cl78, zip_derived_cl76, zip_derived_cl75,
% 250.26/36.52 zip_derived_cl74])).
% 250.26/36.52 thf(zip_derived_cl1846, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1845])).
% 250.26/36.52 thf(zip_derived_cl1848, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1847])).
% 250.26/36.52 thf(dt_k8_group_6, axiom,
% 250.26/36.52 (![A:$i,B:$i,C:$i,D:$i,E:$i]:
% 250.26/36.52 ( ( ( m1_relset_1 @ E @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) &
% 250.26/36.52 ( v1_group_6 @ E @ B @ C ) &
% 250.26/36.52 ( v1_funct_2 @ E @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) &
% 250.26/36.52 ( v1_funct_1 @ E ) &
% 250.26/36.52 ( m1_relset_1 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) &
% 250.26/36.52 ( v1_group_6 @ D @ A @ B ) &
% 250.26/36.52 ( v1_funct_2 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) &
% 250.26/36.52 ( v1_funct_1 @ D ) & ( l1_group_1 @ C ) & ( v4_group_1 @ C ) &
% 250.26/36.52 ( v3_group_1 @ C ) & ( ~( v3_struct_0 @ C ) ) & ( l1_group_1 @ B ) &
% 250.26/36.52 ( v4_group_1 @ B ) & ( v3_group_1 @ B ) & ( ~( v3_struct_0 @ B ) ) &
% 250.26/36.52 ( l1_group_1 @ A ) & ( v4_group_1 @ A ) & ( v3_group_1 @ A ) &
% 250.26/36.52 ( ~( v3_struct_0 @ A ) ) ) =>
% 250.26/36.52 ( ( m2_relset_1 @
% 250.26/36.52 ( k8_group_6 @ A @ B @ C @ D @ E ) @ ( u1_struct_0 @ A ) @
% 250.26/36.52 ( u1_struct_0 @ C ) ) &
% 250.26/36.52 ( v1_group_6 @ ( k8_group_6 @ A @ B @ C @ D @ E ) @ A @ C ) &
% 250.26/36.52 ( v1_funct_2 @
% 250.26/36.52 ( k8_group_6 @ A @ B @ C @ D @ E ) @ ( u1_struct_0 @ A ) @
% 250.26/36.52 ( u1_struct_0 @ C ) ) &
% 250.26/36.52 ( v1_funct_1 @ ( k8_group_6 @ A @ B @ C @ D @ E ) ) ) ))).
% 250.26/36.52 thf(zip_derived_cl19, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((!!) @ (^[Y4 : $i]:
% 250.26/36.52 ((((
% 250.26/36.52 (
% 250.26/36.52 m1_relset_1 @
% 250.26/36.52 Y4 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y2)) &
% 250.26/36.52 (
% 250.26/36.52 v1_group_6 @
% 250.26/36.52 Y4 @
% 250.26/36.52 Y1 @ Y2) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 Y4 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y2)) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 Y4) &
% 250.26/36.52 (
% 250.26/36.52 m1_relset_1 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (
% 250.26/36.52 v1_group_6 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y0 @ Y1) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 Y3) &
% 250.26/36.52 (
% 250.26/36.52 l1_group_1 @
% 250.26/36.52 Y2) &
% 250.26/36.52 (
% 250.26/36.52 v4_group_1 @
% 250.26/36.52 Y2) &
% 250.26/36.52 (
% 250.26/36.52 v3_group_1 @
% 250.26/36.52 Y2) &
% 250.26/36.52 (
% 250.26/36.52 (
% 250.26/36.52 (~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 Y2))) &
% 250.26/36.52 (
% 250.26/36.52 l1_group_1 @
% 250.26/36.52 Y1) &
% 250.26/36.52 (
% 250.26/36.52 v4_group_1 @
% 250.26/36.52 Y1) &
% 250.26/36.52 (
% 250.26/36.52 v3_group_1 @
% 250.26/36.52 Y1) &
% 250.26/36.52 (
% 250.26/36.52 (
% 250.26/36.52 (~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 Y1))) &
% 250.26/36.52 (
% 250.26/36.52 l1_group_1 @
% 250.26/36.52 Y0) &
% 250.26/36.52 (
% 250.26/36.52 v4_group_1 @
% 250.26/36.52 Y0) &
% 250.26/36.52 (
% 250.26/36.52 v3_group_1 @
% 250.26/36.52 Y0) &
% 250.26/36.52 (
% 250.26/36.52 (
% 250.26/36.52 (~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 Y0))))) =>
% 250.26/36.52 ((
% 250.26/36.52 (
% 250.26/36.52 m2_relset_1 @
% 250.26/36.52 (
% 250.26/36.52 k8_group_6 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 Y3 @ Y4) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y2)) &
% 250.26/36.52 (
% 250.26/36.52 v1_group_6 @
% 250.26/36.52 (
% 250.26/36.52 k8_group_6 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 Y3 @ Y4) @
% 250.26/36.52 Y0 @ Y2) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 (
% 250.26/36.52 k8_group_6 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 Y3 @ Y4) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (
% 250.26/36.52 u1_struct_0 @
% 250.26/36.52 Y2)) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 (
% 250.26/36.52 k8_group_6 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 Y3 @ Y4)))))))))))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [dt_k8_group_6])).
% 250.26/36.52 thf(zip_derived_cl505, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((((m1_relset_1 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_group_6 @
% 250.26/36.52 Y3 @ Y0 @ Y1) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y0) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_funct_1 @ Y3) &
% 250.26/36.52 (m1_relset_1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 X2) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y0)) &
% 250.26/36.52 (v1_group_6 @
% 250.26/36.52 Y2 @ X2 @ Y0) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y2 @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 X2) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2) &
% 250.26/36.52 (l1_group_1 @ Y1) &
% 250.26/36.52 (v4_group_1 @ Y1) &
% 250.26/36.52 (v3_group_1 @ Y1) &
% 250.26/36.52 (((~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 Y1))) &
% 250.26/36.52 (l1_group_1 @ Y0) &
% 250.26/36.52 (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) &
% 250.26/36.52 (((~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 Y0))) &
% 250.26/36.52 (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) &
% 250.26/36.52 (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (
% 250.26/36.52 v3_struct_0 @
% 250.26/36.52 X2))))) =>
% 250.26/36.52 (((m2_relset_1 @
% 250.26/36.52 (k8_group_6 @
% 250.26/36.52 X2 @ Y0 @ Y1 @
% 250.26/36.52 Y2 @ Y3) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 X2) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_group_6 @
% 250.26/36.52 (k8_group_6 @
% 250.26/36.52 X2 @ Y0 @ Y1 @
% 250.26/36.52 Y2 @ Y3) @
% 250.26/36.52 X2 @ Y1) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 (k8_group_6 @
% 250.26/36.52 X2 @ Y0 @ Y1 @
% 250.26/36.52 Y2 @ Y3) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 X2) @
% 250.26/36.52 (u1_struct_0 @
% 250.26/36.52 Y1)) &
% 250.26/36.52 (v1_funct_1 @
% 250.26/36.52 (k8_group_6 @
% 250.26/36.52 X2 @ Y0 @ Y1 @
% 250.26/36.52 Y2 @ Y3))))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])).
% 250.26/36.52 thf(zip_derived_cl506, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @ Y2 @ X4 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @
% 250.26/36.52 (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @ Y2) &
% 250.26/36.52 (m1_relset_1 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y1 @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ Y1) &
% 250.26/36.52 (l1_group_1 @ Y0) &
% 250.26/36.52 (v4_group_1 @ Y0) &
% 250.26/36.52 (v3_group_1 @ Y0) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ Y0))) &
% 250.26/36.52 (l1_group_1 @ X4) &
% 250.26/36.52 (v4_group_1 @ X4) &
% 250.26/36.52 (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) &
% 250.26/36.52 (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) &
% 250.26/36.52 (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((m2_relset_1 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @
% 250.26/36.52 Y0 @ Y1 @ Y2) @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @
% 250.26/36.52 Y0 @ Y1 @ Y2) @
% 250.26/36.52 X2 @ Y0) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @
% 250.26/36.52 Y0 @ Y1 @ Y2) @
% 250.26/36.52 (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ Y0)) &
% 250.26/36.52 (v1_funct_1 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @
% 250.26/36.52 Y0 @ Y1 @ Y2)))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl505])).
% 250.26/36.52 thf(zip_derived_cl507, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y1 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y1 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ Y1) &
% 250.26/36.52 (m1_relset_1 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ Y0) & (l1_group_1 @ X6) &
% 250.26/36.52 (v4_group_1 @ X6) & (v3_group_1 @ X6) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X6))) &
% 250.26/36.52 (l1_group_1 @ X4) & (v4_group_1 @ X4) &
% 250.26/36.52 (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) &
% 250.26/36.52 (l1_group_1 @ X2) & (v4_group_1 @ X2) &
% 250.26/36.52 (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((m2_relset_1 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ Y0 @ Y1) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ Y0 @ Y1) @
% 250.26/36.52 X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ Y0 @ Y1) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ Y0 @ Y1))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl506])).
% 250.26/36.52 thf(zip_derived_cl508, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y0 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ Y0 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ (u1_struct_0 @ X4) @
% 250.26/36.52 (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ Y0) &
% 250.26/36.52 (m1_relset_1 @ X8 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @
% 250.26/36.52 (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ X8) & (l1_group_1 @ X6) &
% 250.26/36.52 (v4_group_1 @ X6) & (v3_group_1 @ X6) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X6))) & (l1_group_1 @ X4) &
% 250.26/36.52 (v4_group_1 @ X4) & (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) & (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((m2_relset_1 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ Y0) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ Y0) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ Y0)))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl507])).
% 250.26/36.52 thf(zip_derived_cl509, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ X10) &
% 250.26/36.52 (m1_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ X8) & (l1_group_1 @ X6) & (v4_group_1 @ X6) &
% 250.26/36.52 (v3_group_1 @ X6) & (((~) @ (v3_struct_0 @ X6))) &
% 250.26/36.52 (l1_group_1 @ X4) & (v4_group_1 @ X4) & (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) & (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((m2_relset_1 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl508])).
% 250.26/36.52 thf(zip_derived_cl276, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 ((m2_relset_1 @ X6 @ X2 @ X4) = (m1_relset_1 @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl275])).
% 250.26/36.52 thf(zip_derived_cl276, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 ((m2_relset_1 @ X6 @ X2 @ X4) = (m1_relset_1 @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl275])).
% 250.26/36.52 thf(zip_derived_cl510, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ X10) &
% 250.26/36.52 (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ X8) & (l1_group_1 @ X6) & (v4_group_1 @ X6) &
% 250.26/36.52 (v3_group_1 @ X6) & (((~) @ (v3_struct_0 @ X6))) &
% 250.26/36.52 (l1_group_1 @ X4) & (v4_group_1 @ X4) & (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) & (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2))))) =>
% 250.26/36.52 (((m2_relset_1 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10))))))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl509, zip_derived_cl276, zip_derived_cl276])).
% 250.26/36.52 thf(zip_derived_cl511, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (((m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ X10) &
% 250.26/36.52 (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_group_6 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4)) &
% 250.26/36.52 (v1_funct_1 @ X8) & (l1_group_1 @ X6) & (v4_group_1 @ X6) &
% 250.26/36.52 (v3_group_1 @ X6) & (((~) @ (v3_struct_0 @ X6))) &
% 250.26/36.52 (l1_group_1 @ X4) & (v4_group_1 @ X4) & (v3_group_1 @ X4) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X4))) & (l1_group_1 @ X2) &
% 250.26/36.52 (v4_group_1 @ X2) & (v3_group_1 @ X2) &
% 250.26/36.52 (((~) @ (v3_struct_0 @ X2)))))
% 250.26/36.52 | (((m2_relset_1 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10)))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl510])).
% 250.26/36.52 thf(zip_derived_cl512, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_group_6 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_funct_1 @ X10)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (l1_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | (((m2_relset_1 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_group_6 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6)) &
% 250.26/36.52 (v1_funct_1 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10)))))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl511])).
% 250.26/36.52 thf(zip_derived_cl513, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 ( (m2_relset_1 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @
% 250.26/36.52 (u1_struct_0 @ X2) @ (u1_struct_0 @ X6))
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X6)
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_funct_1 @ X10)
% 250.26/36.52 | ~ (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_group_6 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl512])).
% 250.26/36.52 thf(zip_derived_cl1871, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (m2_relset_1 @ (k8_group_6 @ '#sk1' @ '#sk1' @ X0 @ '#sk3' @ X1) @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X0))
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk3')
% 250.26/36.52 | ~ (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X0))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ '#sk1' @ X0)
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X0)))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1848, zip_derived_cl513])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl650, plain, ( (v1_funct_1 @ '#sk3')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1809, plain, ( (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1808])).
% 250.26/36.52 thf(zip_derived_cl1747, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1746])).
% 250.26/36.52 thf(zip_derived_cl1877, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (m2_relset_1 @ (k8_group_6 @ '#sk1' @ '#sk1' @ X0 @ '#sk3' @ X1) @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X0))
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X0))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ '#sk1' @ X0)
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X0)))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1871, zip_derived_cl78, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl74, zip_derived_cl78,
% 250.26/36.52 zip_derived_cl76, zip_derived_cl75, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl650, zip_derived_cl1809, zip_derived_cl1747])).
% 250.26/36.52 thf(zip_derived_cl13660, plain,
% 250.26/36.52 (( (m2_relset_1 @
% 250.26/36.52 (k8_group_6 @ '#sk1' @ '#sk1' @ '#sk1' @ '#sk3' @ '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk2')
% 250.26/36.52 | ~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1846, zip_derived_cl1877])).
% 250.26/36.52 thf(zip_derived_cl12885, plain,
% 250.26/36.52 (((k8_group_6 @ '#sk1' @ '#sk1' @ '#sk1' @ '#sk3' @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ '#sk3' @ '#sk2'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl12836, zip_derived_cl1809, zip_derived_cl1848,
% 250.26/36.52 zip_derived_cl650, zip_derived_cl74, zip_derived_cl75,
% 250.26/36.52 zip_derived_cl76, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl592, plain, ( (v1_funct_1 @ '#sk2')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl556, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1807, plain, ( (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1806])).
% 250.26/36.52 thf(zip_derived_cl1745, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1744])).
% 250.26/36.52 thf(zip_derived_cl13693, plain,
% 250.26/36.52 ( (m2_relset_1 @ (k5_relat_1 @ '#sk3' @ '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl13660, zip_derived_cl12885, zip_derived_cl78,
% 250.26/36.52 zip_derived_cl76, zip_derived_cl75, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl592, zip_derived_cl1807, zip_derived_cl1745])).
% 250.26/36.52 thf(zip_derived_cl1065, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (~ (m2_relset_1 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (v1_group_6 @ X4 @ X2 @ X2)
% 250.26/36.52 | ~ (v1_funct_2 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (v1_funct_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ((r2_hidden @ X4 @ (k1_autgroup @ X2))
% 250.26/36.52 = (v4_group_6 @ X4 @ X2 @ X2)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1064])).
% 250.26/36.52 thf(zip_derived_cl13724, plain,
% 250.26/36.52 ((~ (v1_group_6 @ (k5_relat_1 @ '#sk3' @ '#sk2') @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ (k5_relat_1 @ '#sk3' @ '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ (k5_relat_1 @ '#sk3' @ '#sk2'))
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ((r2_hidden @ (k5_relat_1 @ '#sk3' @ '#sk2') @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 = (v4_group_6 @ (k5_relat_1 @ '#sk3' @ '#sk2') @ '#sk1' @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl13693, zip_derived_cl1065])).
% 250.26/36.52 thf(zip_derived_cl1846, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1845])).
% 250.26/36.52 thf(zip_derived_cl1848, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1847])).
% 250.26/36.52 thf(zip_derived_cl514, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 ( (v1_group_6 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X6)
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_funct_1 @ X10)
% 250.26/36.52 | ~ (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_group_6 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl512])).
% 250.26/36.52 thf(zip_derived_cl2569, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_group_6 @ (k8_group_6 @ '#sk1' @ '#sk1' @ X0 @ '#sk3' @ X1) @
% 250.26/36.52 '#sk1' @ X0)
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk3')
% 250.26/36.52 | ~ (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X0))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ '#sk1' @ X0)
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X0)))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1848, zip_derived_cl514])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl650, plain, ( (v1_funct_1 @ '#sk3')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1809, plain, ( (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1808])).
% 250.26/36.52 thf(zip_derived_cl1747, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1746])).
% 250.26/36.52 thf(zip_derived_cl2580, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_group_6 @ (k8_group_6 @ '#sk1' @ '#sk1' @ X0 @ '#sk3' @ X1) @
% 250.26/36.52 '#sk1' @ X0)
% 250.26/36.52 | (v3_struct_0 @ X0)
% 250.26/36.52 | ~ (v3_group_1 @ X0)
% 250.26/36.52 | ~ (v4_group_1 @ X0)
% 250.26/36.52 | ~ (l1_group_1 @ X0)
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X0))
% 250.26/36.52 | ~ (v1_group_6 @ X1 @ '#sk1' @ X0)
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X0)))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl2569, zip_derived_cl78, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl74, zip_derived_cl78,
% 250.26/36.52 zip_derived_cl76, zip_derived_cl75, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl650, zip_derived_cl1809, zip_derived_cl1747])).
% 250.26/36.52 thf(zip_derived_cl6136, plain,
% 250.26/36.52 (( (v1_group_6 @
% 250.26/36.52 (k8_group_6 @ '#sk1' @ '#sk1' @ '#sk1' @ '#sk3' @ '#sk2') @ '#sk1' @
% 250.26/36.52 '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk2')
% 250.26/36.52 | ~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1846, zip_derived_cl2580])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl592, plain, ( (v1_funct_1 @ '#sk2')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl556, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1807, plain, ( (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1806])).
% 250.26/36.52 thf(zip_derived_cl1745, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1744])).
% 250.26/36.52 thf(zip_derived_cl6152, plain,
% 250.26/36.52 ( (v1_group_6 @
% 250.26/36.52 (k8_group_6 @ '#sk1' @ '#sk1' @ '#sk1' @ '#sk3' @ '#sk2') @ '#sk1' @
% 250.26/36.52 '#sk1')),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl6136, zip_derived_cl78, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl74, zip_derived_cl592,
% 250.26/36.52 zip_derived_cl1807, zip_derived_cl1745])).
% 250.26/36.52 thf(zip_derived_cl12885, plain,
% 250.26/36.52 (((k8_group_6 @ '#sk1' @ '#sk1' @ '#sk1' @ '#sk3' @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ '#sk3' @ '#sk2'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl12836, zip_derived_cl1809, zip_derived_cl1848,
% 250.26/36.52 zip_derived_cl650, zip_derived_cl74, zip_derived_cl75,
% 250.26/36.52 zip_derived_cl76, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl12912, plain,
% 250.26/36.52 ( (v1_group_6 @ (k5_relat_1 @ '#sk3' @ '#sk2') @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl6152, zip_derived_cl12885])).
% 250.26/36.52 thf(zip_derived_cl1846, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1845])).
% 250.26/36.52 thf(zip_derived_cl1848, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1847])).
% 250.26/36.52 thf(zip_derived_cl516, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 ( (v1_funct_1 @ (k8_group_6 @ X2 @ X4 @ X6 @ X8 @ X10))
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X4)
% 250.26/36.52 | ~ (v3_group_1 @ X4)
% 250.26/36.52 | ~ (v4_group_1 @ X4)
% 250.26/36.52 | ~ (l1_group_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X6)
% 250.26/36.52 | ~ (v3_group_1 @ X6)
% 250.26/36.52 | ~ (v4_group_1 @ X6)
% 250.26/36.52 | ~ (l1_group_1 @ X6)
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_group_6 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X4))
% 250.26/36.52 | ~ (v1_funct_1 @ X10)
% 250.26/36.52 | ~ (v1_funct_2 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6))
% 250.26/36.52 | ~ (v1_group_6 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (m2_relset_1 @ X10 @ (u1_struct_0 @ X4) @ (u1_struct_0 @ X6)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl512])).
% 250.26/36.52 thf(zip_derived_cl2640, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_funct_1 @ (k8_group_6 @ '#sk1' @ '#sk1' @ X1 @ '#sk3' @ X0))
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | (v3_struct_0 @ X1)
% 250.26/36.52 | ~ (v3_group_1 @ X1)
% 250.26/36.52 | ~ (v4_group_1 @ X1)
% 250.26/36.52 | ~ (l1_group_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk3')
% 250.26/36.52 | ~ (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ X0)
% 250.26/36.52 | ~ (v1_funct_2 @ X0 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X1))
% 250.26/36.52 | ~ (v1_group_6 @ X0 @ '#sk1' @ X1)
% 250.26/36.52 | ~ (m2_relset_1 @ X0 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X1)))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1848, zip_derived_cl516])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl650, plain, ( (v1_funct_1 @ '#sk3')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1809, plain, ( (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1808])).
% 250.26/36.52 thf(zip_derived_cl1747, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1746])).
% 250.26/36.52 thf(zip_derived_cl2651, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_funct_1 @ (k8_group_6 @ '#sk1' @ '#sk1' @ X1 @ '#sk3' @ X0))
% 250.26/36.52 | (v3_struct_0 @ X1)
% 250.26/36.52 | ~ (v3_group_1 @ X1)
% 250.26/36.52 | ~ (v4_group_1 @ X1)
% 250.26/36.52 | ~ (l1_group_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_1 @ X0)
% 250.26/36.52 | ~ (v1_funct_2 @ X0 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X1))
% 250.26/36.52 | ~ (v1_group_6 @ X0 @ '#sk1' @ X1)
% 250.26/36.52 | ~ (m2_relset_1 @ X0 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ X1)))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl2640, zip_derived_cl78, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl74, zip_derived_cl78,
% 250.26/36.52 zip_derived_cl76, zip_derived_cl75, zip_derived_cl74,
% 250.26/36.52 zip_derived_cl650, zip_derived_cl1809, zip_derived_cl1747])).
% 250.26/36.52 thf(zip_derived_cl4841, plain,
% 250.26/36.52 (( (v1_funct_1 @
% 250.26/36.52 (k8_group_6 @ '#sk1' @ '#sk1' @ '#sk1' @ '#sk3' @ '#sk2'))
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk2')
% 250.26/36.52 | ~ (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1846, zip_derived_cl2651])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl592, plain, ( (v1_funct_1 @ '#sk2')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl556, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1807, plain, ( (v1_group_6 @ '#sk2' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1806])).
% 250.26/36.52 thf(zip_derived_cl1745, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1744])).
% 250.26/36.52 thf(zip_derived_cl4848, plain,
% 250.26/36.52 ( (v1_funct_1 @ (k8_group_6 @ '#sk1' @ '#sk1' @ '#sk1' @ '#sk3' @ '#sk2'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl4841, zip_derived_cl78, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl75, zip_derived_cl74, zip_derived_cl592,
% 250.26/36.52 zip_derived_cl1807, zip_derived_cl1745])).
% 250.26/36.52 thf(zip_derived_cl12885, plain,
% 250.26/36.52 (((k8_group_6 @ '#sk1' @ '#sk1' @ '#sk1' @ '#sk3' @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ '#sk3' @ '#sk2'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl12836, zip_derived_cl1809, zip_derived_cl1848,
% 250.26/36.52 zip_derived_cl650, zip_derived_cl74, zip_derived_cl75,
% 250.26/36.52 zip_derived_cl76, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl12911, plain,
% 250.26/36.52 ( (v1_funct_1 @ (k5_relat_1 @ '#sk3' @ '#sk2'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl4848, zip_derived_cl12885])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl77, plain, ( (v1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl13744, plain,
% 250.26/36.52 ((~ (v1_funct_2 @ (k5_relat_1 @ '#sk3' @ '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((r2_hidden @ (k5_relat_1 @ '#sk3' @ '#sk2') @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 = (v4_group_6 @ (k5_relat_1 @ '#sk3' @ '#sk2') @ '#sk1' @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl13724, zip_derived_cl12912,
% 250.26/36.52 zip_derived_cl12911, zip_derived_cl78, zip_derived_cl77,
% 250.26/36.52 zip_derived_cl76, zip_derived_cl75, zip_derived_cl74])).
% 250.26/36.52 thf(zip_derived_cl1848, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1847])).
% 250.26/36.52 thf(zip_derived_cl542, plain,
% 250.26/36.52 (( (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl540, zip_derived_cl437])).
% 250.26/36.52 thf(redefinition_k7_funct_2, axiom,
% 250.26/36.52 (![A:$i,B:$i,C:$i,D:$i,E:$i]:
% 250.26/36.52 ( ( ( m1_relset_1 @ E @ B @ C ) & ( v1_funct_2 @ E @ B @ C ) &
% 250.26/36.52 ( v1_funct_1 @ E ) & ( m1_relset_1 @ D @ A @ B ) &
% 250.26/36.52 ( v1_funct_2 @ D @ A @ B ) & ( v1_funct_1 @ D ) &
% 250.26/36.52 ( ~( v1_xboole_0 @ B ) ) ) =>
% 250.26/36.52 ( ( k7_funct_2 @ A @ B @ C @ D @ E ) = ( k5_relat_1 @ D @ E ) ) ))).
% 250.26/36.52 thf(zip_derived_cl56, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((!!) @ (^[Y4 : $i]:
% 250.26/36.52 ((((
% 250.26/36.52 (
% 250.26/36.52 m1_relset_1 @
% 250.26/36.52 Y4 @
% 250.26/36.52 Y1 @ Y2) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 Y4 @
% 250.26/36.52 Y1 @ Y2) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 Y4) &
% 250.26/36.52 (
% 250.26/36.52 m1_relset_1 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y0 @ Y1) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y0 @ Y1) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 Y3) &
% 250.26/36.52 (
% 250.26/36.52 (
% 250.26/36.52 (~) @ (
% 250.26/36.52 v1_xboole_0 @
% 250.26/36.52 Y1))))) =>
% 250.26/36.52 ((
% 250.26/36.52 (k7_funct_2 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y4) =
% 250.26/36.52 (k5_relat_1 @
% 250.26/36.52 Y3 @ Y4))))))))))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [redefinition_k7_funct_2])).
% 250.26/36.52 thf(zip_derived_cl854, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((((m1_relset_1 @
% 250.26/36.52 Y3 @ Y0 @ Y1) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y3 @ Y0 @ Y1) &
% 250.26/36.52 (v1_funct_1 @ Y3) &
% 250.26/36.52 (m1_relset_1 @
% 250.26/36.52 Y2 @ X2 @ Y0) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y2 @ X2 @ Y0) &
% 250.26/36.52 (v1_funct_1 @ Y2) &
% 250.26/36.52 (((~) @ (
% 250.26/36.52 v1_xboole_0 @
% 250.26/36.52 Y0))))) =>
% 250.26/36.52 (((k7_funct_2 @
% 250.26/36.52 X2 @ Y0 @ Y1 @
% 250.26/36.52 Y2 @ Y3) =
% 250.26/36.52 (k5_relat_1 @
% 250.26/36.52 Y2 @ Y3)))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl56])).
% 250.26/36.52 thf(zip_derived_cl855, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y2 @ X4 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @ X4 @ Y0) &
% 250.26/36.52 (v1_funct_1 @ Y2) &
% 250.26/36.52 (m1_relset_1 @ Y1 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y1 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_1 @ Y1) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((k7_funct_2 @ X2 @ X4 @ Y0 @
% 250.26/36.52 Y1 @ Y2) = (k5_relat_1 @
% 250.26/36.52 Y1 @ Y2))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl854])).
% 250.26/36.52 thf(zip_derived_cl856, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_1 @ Y1) &
% 250.26/36.52 (m1_relset_1 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_1 @ Y0) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((k7_funct_2 @ X2 @ X4 @ X6 @ Y0 @ Y1) =
% 250.26/36.52 (k5_relat_1 @ Y0 @ Y1)))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl855])).
% 250.26/36.52 thf(zip_derived_cl857, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y0 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ X4 @ X6) & (v1_funct_1 @ Y0) &
% 250.26/36.52 (m1_relset_1 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ X2 @ X4) & (v1_funct_1 @ X8) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ Y0) =
% 250.26/36.52 (k5_relat_1 @ X8 @ Y0))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl856])).
% 250.26/36.52 thf(zip_derived_cl858, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ X10 @ X4 @ X6) & (v1_funct_2 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_1 @ X10) & (m1_relset_1 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ X2 @ X4) & (v1_funct_1 @ X8) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) = (k5_relat_1 @ X8 @ X10)))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl857])).
% 250.26/36.52 thf(zip_derived_cl276, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 ((m2_relset_1 @ X6 @ X2 @ X4) = (m1_relset_1 @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl275])).
% 250.26/36.52 thf(zip_derived_cl276, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 ((m2_relset_1 @ X6 @ X2 @ X4) = (m1_relset_1 @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl275])).
% 250.26/36.52 thf(zip_derived_cl859, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ X10 @ X4 @ X6) & (v1_funct_2 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_1 @ X10) & (m2_relset_1 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ X2 @ X4) & (v1_funct_1 @ X8) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) = (k5_relat_1 @ X8 @ X10)))))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl858, zip_derived_cl276, zip_derived_cl276])).
% 250.26/36.52 thf(zip_derived_cl860, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (((m2_relset_1 @ X10 @ X4 @ X6) & (v1_funct_2 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_1 @ X10) & (m2_relset_1 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ X2 @ X4) & (v1_funct_1 @ X8) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4)))))
% 250.26/36.52 | (((k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) = (k5_relat_1 @ X8 @ X10))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl859])).
% 250.26/36.52 thf(zip_derived_cl861, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (((m2_relset_1 @ X10 @ X4 @ X6) & (v1_funct_2 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_1 @ X10) & (m2_relset_1 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ X2 @ X4) & (v1_funct_1 @ X8) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4)))))
% 250.26/36.52 | ((k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) = (k5_relat_1 @ X8 @ X10)))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl860])).
% 250.26/36.52 thf(zip_derived_cl862, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (m2_relset_1 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (v1_funct_2 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (v1_funct_1 @ X10)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ((k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) = (k5_relat_1 @ X8 @ X10)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl861])).
% 250.26/36.52 thf(zip_derived_cl864, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk2')
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ X0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ X0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k7_funct_2 @ X0 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ X1 @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ X1 @ '#sk2')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl542, zip_derived_cl862])).
% 250.26/36.52 thf(zip_derived_cl592, plain, ( (v1_funct_1 @ '#sk2')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl556, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl871, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ X0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ X0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((k7_funct_2 @ X0 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ X1 @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ X1 @ '#sk2')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl864, zip_derived_cl592])).
% 250.26/36.52 thf(zip_derived_cl872, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 (((k7_funct_2 @ X0 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ X1 @ '#sk2') = (k5_relat_1 @ X1 @ '#sk2'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ X0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ X0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl871])).
% 250.26/36.52 thf(zip_derived_cl1846, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1845])).
% 250.26/36.52 thf(zip_derived_cl3940, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 (((k7_funct_2 @ X0 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ X1 @ '#sk2') = (k5_relat_1 @ X1 @ '#sk2'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ X0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ X0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl872, zip_derived_cl1846])).
% 250.26/36.52 thf(zip_derived_cl3943, plain,
% 250.26/36.52 ((((k7_funct_2 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ '#sk3' @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ '#sk3' @ '#sk2'))
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk3')
% 250.26/36.52 | ~ (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1848, zip_derived_cl3940])).
% 250.26/36.52 thf(zip_derived_cl650, plain, ( (v1_funct_1 @ '#sk3')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1747, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1746])).
% 250.26/36.52 thf(zip_derived_cl3952, plain,
% 250.26/36.52 ((((k7_funct_2 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ '#sk3' @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ '#sk3' @ '#sk2'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl3943, zip_derived_cl650, zip_derived_cl1747])).
% 250.26/36.52 thf(zip_derived_cl1846, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1845])).
% 250.26/36.52 thf(zip_derived_cl1848, plain,
% 250.26/36.52 ( (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1847])).
% 250.26/36.52 thf(dt_k7_funct_2, axiom,
% 250.26/36.52 (![A:$i,B:$i,C:$i,D:$i,E:$i]:
% 250.26/36.52 ( ( ( m1_relset_1 @ E @ B @ C ) & ( v1_funct_2 @ E @ B @ C ) &
% 250.26/36.52 ( v1_funct_1 @ E ) & ( m1_relset_1 @ D @ A @ B ) &
% 250.26/36.52 ( v1_funct_2 @ D @ A @ B ) & ( v1_funct_1 @ D ) &
% 250.26/36.52 ( ~( v1_xboole_0 @ B ) ) ) =>
% 250.26/36.52 ( ( m2_relset_1 @ ( k7_funct_2 @ A @ B @ C @ D @ E ) @ A @ C ) &
% 250.26/36.52 ( v1_funct_2 @ ( k7_funct_2 @ A @ B @ C @ D @ E ) @ A @ C ) &
% 250.26/36.52 ( v1_funct_1 @ ( k7_funct_2 @ A @ B @ C @ D @ E ) ) ) ))).
% 250.26/36.52 thf(zip_derived_cl18, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((!!) @ (^[Y4 : $i]:
% 250.26/36.52 ((((
% 250.26/36.52 (
% 250.26/36.52 m1_relset_1 @
% 250.26/36.52 Y4 @
% 250.26/36.52 Y1 @ Y2) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 Y4 @
% 250.26/36.52 Y1 @ Y2) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 Y4) &
% 250.26/36.52 (
% 250.26/36.52 m1_relset_1 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y0 @ Y1) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 Y3 @
% 250.26/36.52 Y0 @ Y1) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 Y3) &
% 250.26/36.52 (
% 250.26/36.52 (
% 250.26/36.52 (~) @ (
% 250.26/36.52 v1_xboole_0 @
% 250.26/36.52 Y1))))) =>
% 250.26/36.52 ((
% 250.26/36.52 (
% 250.26/36.52 m2_relset_1 @
% 250.26/36.52 (
% 250.26/36.52 k7_funct_2 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 Y3 @ Y4) @
% 250.26/36.52 Y0 @ Y2) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_2 @
% 250.26/36.52 (
% 250.26/36.52 k7_funct_2 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 Y3 @ Y4) @
% 250.26/36.52 Y0 @ Y2) &
% 250.26/36.52 (
% 250.26/36.52 v1_funct_1 @
% 250.26/36.52 (
% 250.26/36.52 k7_funct_2 @
% 250.26/36.52 Y0 @
% 250.26/36.52 Y1 @
% 250.26/36.52 Y2 @
% 250.26/36.52 Y3 @ Y4)))))))))))))))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [dt_k7_funct_2])).
% 250.26/36.52 thf(zip_derived_cl475, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y3 : $i]:
% 250.26/36.52 (((((m1_relset_1 @
% 250.26/36.52 Y3 @ Y0 @ Y1) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y3 @ Y0 @ Y1) &
% 250.26/36.52 (v1_funct_1 @ Y3) &
% 250.26/36.52 (m1_relset_1 @
% 250.26/36.52 Y2 @ X2 @ Y0) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 Y2 @ X2 @ Y0) &
% 250.26/36.52 (v1_funct_1 @ Y2) &
% 250.26/36.52 (((~) @ (
% 250.26/36.52 v1_xboole_0 @
% 250.26/36.52 Y0))))) =>
% 250.26/36.52 (((m2_relset_1 @
% 250.26/36.52 (k7_funct_2 @
% 250.26/36.52 X2 @ Y0 @ Y1 @
% 250.26/36.52 Y2 @ Y3) @
% 250.26/36.52 X2 @ Y1) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 (k7_funct_2 @
% 250.26/36.52 X2 @ Y0 @ Y1 @
% 250.26/36.52 Y2 @ Y3) @
% 250.26/36.52 X2 @ Y1) &
% 250.26/36.52 (v1_funct_1 @
% 250.26/36.52 (k7_funct_2 @
% 250.26/36.52 X2 @ Y0 @ Y1 @
% 250.26/36.52 Y2 @ Y3))))))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl18])).
% 250.26/36.52 thf(zip_derived_cl476, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((!!) @ (^[Y2 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y2 @ X4 @ Y0) &
% 250.26/36.52 (v1_funct_2 @ Y2 @ X4 @ Y0) &
% 250.26/36.52 (v1_funct_1 @ Y2) &
% 250.26/36.52 (m1_relset_1 @ Y1 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y1 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_1 @ Y1) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((m2_relset_1 @
% 250.26/36.52 (k7_funct_2 @ X2 @ X4 @
% 250.26/36.52 Y0 @ Y1 @ Y2) @
% 250.26/36.52 X2 @ Y0) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 (k7_funct_2 @ X2 @ X4 @
% 250.26/36.52 Y0 @ Y1 @ Y2) @
% 250.26/36.52 X2 @ Y0) &
% 250.26/36.52 (v1_funct_1 @
% 250.26/36.52 (k7_funct_2 @ X2 @ X4 @
% 250.26/36.52 Y0 @ Y1 @ Y2)))))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl475])).
% 250.26/36.52 thf(zip_derived_cl477, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y1 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_1 @ Y1) &
% 250.26/36.52 (m1_relset_1 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_1 @ Y0) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((m2_relset_1 @
% 250.26/36.52 (k7_funct_2 @ X2 @ X4 @ X6 @ Y0 @ Y1) @
% 250.26/36.52 X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 (k7_funct_2 @ X2 @ X4 @ X6 @ Y0 @ Y1) @
% 250.26/36.52 X2 @ X6) &
% 250.26/36.52 (v1_funct_1 @
% 250.26/36.52 (k7_funct_2 @ X2 @ X4 @ X6 @ Y0 @ Y1))))))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl476])).
% 250.26/36.52 thf(zip_derived_cl478, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ Y0 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_2 @ Y0 @ X4 @ X6) & (v1_funct_1 @ Y0) &
% 250.26/36.52 (m1_relset_1 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ X2 @ X4) & (v1_funct_1 @ X8) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((m2_relset_1 @
% 250.26/36.52 (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ Y0) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @
% 250.26/36.52 (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ Y0) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_1 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ Y0)))))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl477])).
% 250.26/36.52 thf(zip_derived_cl479, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (((((m1_relset_1 @ X10 @ X4 @ X6) & (v1_funct_2 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_1 @ X10) & (m1_relset_1 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ X2 @ X4) & (v1_funct_1 @ X8) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((m2_relset_1 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_1 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl478])).
% 250.26/36.52 thf(zip_derived_cl276, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 ((m2_relset_1 @ X6 @ X2 @ X4) = (m1_relset_1 @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl275])).
% 250.26/36.52 thf(zip_derived_cl276, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i]:
% 250.26/36.52 ((m2_relset_1 @ X6 @ X2 @ X4) = (m1_relset_1 @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl275])).
% 250.26/36.52 thf(zip_derived_cl480, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (((((m2_relset_1 @ X10 @ X4 @ X6) & (v1_funct_2 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_1 @ X10) & (m2_relset_1 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ X2 @ X4) & (v1_funct_1 @ X8) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4))))) =>
% 250.26/36.52 (((m2_relset_1 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_1 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10))))))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl479, zip_derived_cl276, zip_derived_cl276])).
% 250.26/36.52 thf(zip_derived_cl481, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (((m2_relset_1 @ X10 @ X4 @ X6) & (v1_funct_2 @ X10 @ X4 @ X6) &
% 250.26/36.52 (v1_funct_1 @ X10) & (m2_relset_1 @ X8 @ X2 @ X4) &
% 250.26/36.52 (v1_funct_2 @ X8 @ X2 @ X4) & (v1_funct_1 @ X8) &
% 250.26/36.52 (((~) @ (v1_xboole_0 @ X4)))))
% 250.26/36.52 | (((m2_relset_1 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_1 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10)))))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl480])).
% 250.26/36.52 thf(zip_derived_cl482, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 (~ (m2_relset_1 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (v1_funct_2 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (v1_funct_1 @ X10)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | (((m2_relset_1 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_2 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6) &
% 250.26/36.52 (v1_funct_1 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10)))))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl481])).
% 250.26/36.52 thf(zip_derived_cl484, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i, X10 : $i]:
% 250.26/36.52 ( (v1_funct_2 @ (k7_funct_2 @ X2 @ X4 @ X6 @ X8 @ X10) @ X2 @ X6)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (v1_funct_1 @ X8)
% 250.26/36.52 | ~ (v1_funct_2 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_relset_1 @ X8 @ X2 @ X4)
% 250.26/36.52 | ~ (v1_funct_1 @ X10)
% 250.26/36.52 | ~ (v1_funct_2 @ X10 @ X4 @ X6)
% 250.26/36.52 | ~ (m2_relset_1 @ X10 @ X4 @ X6))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl482])).
% 250.26/36.52 thf(zip_derived_cl1869, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_funct_2 @
% 250.26/36.52 (k7_funct_2 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 X0 @ '#sk3' @ X1) @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ X0)
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk3')
% 250.26/36.52 | ~ (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ '#sk1') @ X0)
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ '#sk1') @ X0))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1848, zip_derived_cl484])).
% 250.26/36.52 thf(zip_derived_cl650, plain, ( (v1_funct_1 @ '#sk3')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1747, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1746])).
% 250.26/36.52 thf(zip_derived_cl1875, plain,
% 250.26/36.52 (![X0 : $i, X1 : $i]:
% 250.26/36.52 ( (v1_funct_2 @
% 250.26/36.52 (k7_funct_2 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 X0 @ '#sk3' @ X1) @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ X0)
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ X1)
% 250.26/36.52 | ~ (v1_funct_2 @ X1 @ (u1_struct_0 @ '#sk1') @ X0)
% 250.26/36.52 | ~ (m2_relset_1 @ X1 @ (u1_struct_0 @ '#sk1') @ X0))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1869, zip_derived_cl650, zip_derived_cl1747])).
% 250.26/36.52 thf(zip_derived_cl5196, plain,
% 250.26/36.52 (( (v1_funct_2 @
% 250.26/36.52 (k7_funct_2 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ '#sk3' @ '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk2')
% 250.26/36.52 | ~ (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl1846, zip_derived_cl1875])).
% 250.26/36.52 thf(zip_derived_cl592, plain, ( (v1_funct_1 @ '#sk2')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl556, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl1745, plain,
% 250.26/36.52 ( (m2_relset_1 @ '#sk2' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1744])).
% 250.26/36.52 thf(zip_derived_cl5203, plain,
% 250.26/36.52 (( (v1_funct_2 @
% 250.26/36.52 (k7_funct_2 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ '#sk3' @ '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl5196, zip_derived_cl592, zip_derived_cl1745])).
% 250.26/36.52 thf(zip_derived_cl5493, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_funct_2 @ (k5_relat_1 @ '#sk3' @ '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup+', [status(thm)],
% 250.26/36.52 [zip_derived_cl3952, zip_derived_cl5203])).
% 250.26/36.52 thf(zip_derived_cl5494, plain,
% 250.26/36.52 (( (v1_funct_2 @ (k5_relat_1 @ '#sk3' @ '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl5493])).
% 250.26/36.52 thf(zip_derived_cl14133, plain,
% 250.26/36.52 ((((r2_hidden @ (k5_relat_1 @ '#sk3' @ '#sk2') @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 = (v4_group_6 @ (k5_relat_1 @ '#sk3' @ '#sk2') @ '#sk1' @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup+', [status(thm)],
% 250.26/36.52 [zip_derived_cl13744, zip_derived_cl5494])).
% 250.26/36.52 thf(t1_subset, axiom,
% 250.26/36.52 (![A:$i,B:$i]: ( ( r2_hidden @ A @ B ) => ( m1_subset_1 @ A @ B ) ))).
% 250.26/36.52 thf(zip_derived_cl61, plain,
% 250.26/36.52 ( (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((!!) @ (^[Y1 : $i]:
% 250.26/36.52 (((r2_hidden @ Y0 @ Y1) => (m1_subset_1 @ Y0 @
% 250.26/36.52 Y1)))))))))),
% 250.26/36.52 inference('cnf', [status(esa)], [t1_subset])).
% 250.26/36.52 thf(zip_derived_cl198, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (((!!) @ (^[Y0 : $i]:
% 250.26/36.52 (((r2_hidden @ X2 @ Y0) => (m1_subset_1 @ X2 @ Y0))))))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl61])).
% 250.26/36.52 thf(zip_derived_cl199, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (((r2_hidden @ X2 @ X4) => (m1_subset_1 @ X2 @ X4)))),
% 250.26/36.52 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl198])).
% 250.26/36.52 thf(zip_derived_cl200, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (~ (r2_hidden @ X2 @ X4) | (m1_subset_1 @ X2 @ X4))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl199])).
% 250.26/36.52 thf(zip_derived_cl14191, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v4_group_6 @ (k5_relat_1 @ '#sk3' @ '#sk2') @ '#sk1' @ '#sk1')
% 250.26/36.52 | (m1_subset_1 @ (k5_relat_1 @ '#sk3' @ '#sk2') @
% 250.26/36.52 (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl14133, zip_derived_cl200])).
% 250.26/36.52 thf(zip_derived_cl3952, plain,
% 250.26/36.52 ((((k7_funct_2 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ '#sk3' @ '#sk2')
% 250.26/36.52 = (k5_relat_1 @ '#sk3' @ '#sk2'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl3943, zip_derived_cl650, zip_derived_cl1747])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl962, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 (((m2_fraenkel @ X8 @ X2 @ X4 @ X6) = (m1_subset_1 @ X8 @ X6))
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4))),
% 250.26/36.52 inference('simplify nested equalities', [status(thm)],
% 250.26/36.52 [zip_derived_cl961])).
% 250.26/36.52 thf(zip_derived_cl963, plain,
% 250.26/36.52 (![X0 : $i]:
% 250.26/36.52 (((m2_fraenkel @ X0 @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 = (m1_subset_1 @ X0 @ (k1_autgroup @ '#sk1')))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl437, zip_derived_cl962])).
% 250.26/36.52 thf(zip_derived_cl84, plain,
% 250.26/36.52 (~ (m2_fraenkel @
% 250.26/36.52 (k7_funct_2 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ '#sk3' @ '#sk2') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 250.26/36.52 thf(zip_derived_cl1230, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_subset_1 @
% 250.26/36.52 (k7_funct_2 @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ '#sk3' @ '#sk2') @
% 250.26/36.52 (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl963, zip_derived_cl84])).
% 250.26/36.52 thf(zip_derived_cl3991, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_subset_1 @ (k5_relat_1 @ '#sk3' @ '#sk2') @
% 250.26/36.52 (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl3952, zip_derived_cl1230])).
% 250.26/36.52 thf(zip_derived_cl3993, plain,
% 250.26/36.52 ((~ (m1_subset_1 @ (k5_relat_1 @ '#sk3' @ '#sk2') @
% 250.26/36.52 (k1_autgroup @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl3991])).
% 250.26/36.52 thf(zip_derived_cl14199, plain,
% 250.26/36.52 ((~ (v4_group_6 @ (k5_relat_1 @ '#sk3' @ '#sk2') @ '#sk1' @ '#sk1')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl14191, zip_derived_cl3993])).
% 250.26/36.52 thf(zip_derived_cl110193, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v4_group_6 @ '#sk3' @ '#sk1' @ '#sk1'))),
% 250.26/36.52 inference('clc', [status(thm)],
% 250.26/36.52 [zip_derived_cl110046, zip_derived_cl14199])).
% 250.26/36.52 thf(zip_derived_cl83, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 250.26/36.52 thf(zip_derived_cl537, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 ( (m2_relset_1 @ X8 @ X2 @ X4)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_fraenkel @ X8 @ X2 @ X4 @ X6))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl536])).
% 250.26/36.52 thf(zip_derived_cl541, plain,
% 250.26/36.52 (( (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl537])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl543, plain,
% 250.26/36.52 (( (m2_relset_1 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl541, zip_derived_cl437])).
% 250.26/36.52 thf(zip_derived_cl1065, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 (~ (m2_relset_1 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (v1_group_6 @ X4 @ X2 @ X2)
% 250.26/36.52 | ~ (v1_funct_2 @ X4 @ (u1_struct_0 @ X2) @ (u1_struct_0 @ X2))
% 250.26/36.52 | ~ (v1_funct_1 @ X4)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v1_group_1 @ X2)
% 250.26/36.52 | ~ (v3_group_1 @ X2)
% 250.26/36.52 | ~ (v4_group_1 @ X2)
% 250.26/36.52 | ~ (l1_group_1 @ X2)
% 250.26/36.52 | ((r2_hidden @ X4 @ (k1_autgroup @ X2))
% 250.26/36.52 = (v4_group_6 @ X4 @ X2 @ X2)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl1064])).
% 250.26/36.52 thf(zip_derived_cl1067, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_funct_1 @ '#sk3')
% 250.26/36.52 | (v3_struct_0 @ '#sk1')
% 250.26/36.52 | ~ (v1_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v3_group_1 @ '#sk1')
% 250.26/36.52 | ~ (v4_group_1 @ '#sk1')
% 250.26/36.52 | ~ (l1_group_1 @ '#sk1')
% 250.26/36.52 | ((r2_hidden @ '#sk3' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 = (v4_group_6 @ '#sk3' @ '#sk1' @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl543, zip_derived_cl1065])).
% 250.26/36.52 thf(zip_derived_cl650, plain, ( (v1_funct_1 @ '#sk3')),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl78, plain, (~ (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl77, plain, ( (v1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl76, plain, ( (v3_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl75, plain, ( (v4_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl74, plain, ( (l1_group_1 @ '#sk1')),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl72])).
% 250.26/36.52 thf(zip_derived_cl1075, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | ~ (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ((r2_hidden @ '#sk3' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 = (v4_group_6 @ '#sk3' @ '#sk1' @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1067, zip_derived_cl650, zip_derived_cl78,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl76, zip_derived_cl75,
% 250.26/36.52 zip_derived_cl74])).
% 250.26/36.52 thf(zip_derived_cl83, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 250.26/36.52 thf(zip_derived_cl538, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 ( (v1_funct_2 @ X8 @ X2 @ X4)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | ~ (m2_fraenkel @ X8 @ X2 @ X4 @ X6))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl536])).
% 250.26/36.52 thf(zip_derived_cl669, plain,
% 250.26/36.52 (( (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl538])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl671, plain,
% 250.26/36.52 (( (v1_funct_2 @ '#sk3' @ (u1_struct_0 @ '#sk1') @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl669, zip_derived_cl437])).
% 250.26/36.52 thf(zip_derived_cl1497, plain,
% 250.26/36.52 ((((r2_hidden @ '#sk3' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 = (v4_group_6 @ '#sk3' @ '#sk1' @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl1075, zip_derived_cl671])).
% 250.26/36.52 thf(zip_derived_cl1499, plain,
% 250.26/36.52 ((~ (r2_hidden @ '#sk3' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 | (v4_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | ~ (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1'))),
% 250.26/36.52 inference('eq_elim', [status(thm)], [zip_derived_cl1497])).
% 250.26/36.52 thf(zip_derived_cl83, plain,
% 250.26/36.52 ( (m2_fraenkel @ '#sk3' @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1') @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl82])).
% 250.26/36.52 thf(zip_derived_cl968, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]:
% 250.26/36.52 (~ (m2_fraenkel @ X8 @ X2 @ X4 @ X6)
% 250.26/36.52 | (m1_subset_1 @ X8 @ X6)
% 250.26/36.52 | ~ (m1_fraenkel @ X6 @ X2 @ X4)
% 250.26/36.52 | (v1_xboole_0 @ X4))),
% 250.26/36.52 inference('eq_elim', [status(thm)], [zip_derived_cl962])).
% 250.26/36.52 thf(zip_derived_cl970, plain,
% 250.26/36.52 (( (m1_subset_1 @ '#sk3' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 | ~ (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl83, zip_derived_cl968])).
% 250.26/36.52 thf(zip_derived_cl437, plain,
% 250.26/36.52 ( (m1_fraenkel @ (k1_autgroup @ '#sk1') @ (u1_struct_0 @ '#sk1') @
% 250.26/36.52 (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl432, zip_derived_cl75, zip_derived_cl76,
% 250.26/36.52 zip_derived_cl77, zip_derived_cl78])).
% 250.26/36.52 thf(zip_derived_cl972, plain,
% 250.26/36.52 (( (m1_subset_1 @ '#sk3' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl970, zip_derived_cl437])).
% 250.26/36.52 thf(zip_derived_cl318, plain,
% 250.26/36.52 (![X2 : $i, X4 : $i]:
% 250.26/36.52 ( (r2_hidden @ X2 @ X4)
% 250.26/36.52 | (v1_xboole_0 @ X4)
% 250.26/36.52 | ~ (m1_subset_1 @ X2 @ X4))),
% 250.26/36.52 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl317])).
% 250.26/36.52 thf(zip_derived_cl1085, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (r2_hidden @ '#sk3' @ (k1_autgroup @ '#sk1'))
% 250.26/36.52 | (v1_xboole_0 @ (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl972, zip_derived_cl318])).
% 250.26/36.52 thf(zip_derived_cl442, plain, (~ (v1_xboole_0 @ (k1_autgroup @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)], [zip_derived_cl437, zip_derived_cl332])).
% 250.26/36.52 thf(zip_derived_cl1088, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (r2_hidden @ '#sk3' @ (k1_autgroup @ '#sk1')))),
% 250.26/36.52 inference('demod', [status(thm)], [zip_derived_cl1085, zip_derived_cl442])).
% 250.26/36.52 thf(zip_derived_cl1510, plain,
% 250.26/36.52 ((~ (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')
% 250.26/36.52 | (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v4_group_6 @ '#sk3' @ '#sk1' @ '#sk1'))),
% 250.26/36.52 inference('clc', [status(thm)], [zip_derived_cl1499, zip_derived_cl1088])).
% 250.26/36.52 thf(zip_derived_cl1809, plain, ( (v1_group_6 @ '#sk3' @ '#sk1' @ '#sk1')),
% 250.26/36.52 inference('simplify', [status(thm)], [zip_derived_cl1808])).
% 250.26/36.52 thf(zip_derived_cl1819, plain,
% 250.26/36.52 (( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))
% 250.26/36.52 | (v4_group_6 @ '#sk3' @ '#sk1' @ '#sk1'))),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl1510, zip_derived_cl1809])).
% 250.26/36.52 thf(zip_derived_cl110194, plain, ( (v1_xboole_0 @ (u1_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('clc', [status(thm)],
% 250.26/36.52 [zip_derived_cl110193, zip_derived_cl1819])).
% 250.26/36.52 thf(zip_derived_cl257, plain,
% 250.26/36.52 (![X2 : $i]:
% 250.26/36.52 (~ (l1_struct_0 @ X2)
% 250.26/36.52 | (v3_struct_0 @ X2)
% 250.26/36.52 | ~ (v1_xboole_0 @ (u1_struct_0 @ X2)))),
% 250.26/36.52 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl256])).
% 250.26/36.52 thf(zip_derived_cl110226, plain,
% 250.26/36.52 ((~ (l1_struct_0 @ '#sk1') | (v3_struct_0 @ '#sk1'))),
% 250.26/36.52 inference('s_sup-', [status(thm)],
% 250.26/36.52 [zip_derived_cl110194, zip_derived_cl257])).
% 250.26/36.52 thf(zip_derived_cl104, plain, ( (l1_struct_0 @ '#sk1')),
% 250.26/36.52 inference('s_sup+', [status(thm)], [zip_derived_cl103, zip_derived_cl74])).
% 250.26/36.52 thf(zip_derived_cl110230, plain, ( (v3_struct_0 @ '#sk1')),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl110226, zip_derived_cl104])).
% 250.26/36.52 thf(zip_derived_cl110243, plain, ($false),
% 250.26/36.52 inference('demod', [status(thm)],
% 250.26/36.52 [zip_derived_cl78, zip_derived_cl110230])).
% 250.26/36.52
% 250.26/36.52 % SZS output end Refutation
% 250.26/36.52
% 250.26/36.52
% 250.26/36.52 % Terminating...
% 250.26/36.52 % /export/starexec/sandbox/solver/bin/fo/fo17_bce.sh running for 50s
% 250.39/36.61 % Runner terminated.
% 250.39/36.63 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------