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Zipperpin---2.1.9999.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYN143-10 : TPTP v9.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LdOUVGlb6p true

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Oct  2 05:04:06 PM UTC 2025

% Result   : Unsatisfiable 13.78s 2.65s
% Output   : Refutation 13.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SYN143-10 : TPTP v9.2.0. Released v7.3.0.
% 0.08/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.LdOUVGlb6p true
% 0.15/0.37  % Computer : n025.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit : 300
% 0.15/0.37  % WCLimit  : 300
% 0.15/0.37  % DateTime : Wed Oct  1 13:33:53 EDT 2025
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in FO mode
% 0.56/0.68  % Total configuration time : 435
% 0.56/0.68  % Estimated wc time : 1092
% 0.56/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.91  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 13.78/2.65  % Solved by fo/fo6_bce.sh.
% 13.78/2.65  % BCE start: 363
% 13.78/2.65  % BCE eliminated: 0
% 13.78/2.65  % PE start: 363
% 13.78/2.65  logic: eq
% 13.78/2.65  % PE eliminated: 0
% 13.78/2.65  % done 3735 iterations in 1.864s
% 13.78/2.65  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 13.78/2.65  % SZS output start Refutation
% 13.78/2.65  thf(k0_type, type, k0: $i > $i).
% 13.78/2.65  thf(p1_type, type, p1: $i > $i > $i > $i).
% 13.78/2.65  thf(l2_type, type, l2: $i > $i > $i).
% 13.78/2.65  thf(s1_type, type, s1: $i > $i).
% 13.78/2.65  thf(p3_type, type, p3: $i > $i > $i > $i).
% 13.78/2.65  thf(n2_type, type, n2: $i > $i).
% 13.78/2.65  thf(d_type, type, d: $i).
% 13.78/2.65  thf(e_type, type, e: $i).
% 13.78/2.65  thf(true_type, type, true: $i).
% 13.78/2.65  thf(m0_type, type, m0: $i > $i > $i > $i).
% 13.78/2.65  thf(m1_type, type, m1: $i > $i > $i > $i).
% 13.78/2.65  thf(m5_type, type, m5: $i > $i > $i).
% 13.78/2.65  thf(s3_type, type, s3: $i > $i > $i).
% 13.78/2.65  thf(c_type, type, c: $i).
% 13.78/2.65  thf(n0_type, type, n0: $i > $i > $i).
% 13.78/2.65  thf(l1_type, type, l1: $i > $i > $i).
% 13.78/2.65  thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 13.78/2.65  thf(q2_type, type, q2: $i > $i > $i > $i).
% 13.78/2.65  thf(n1_type, type, n1: $i > $i > $i > $i).
% 13.78/2.65  thf(q0_type, type, q0: $i > $i > $i).
% 13.78/2.65  thf(r0_type, type, r0: $i > $i).
% 13.78/2.65  thf(l0_type, type, l0: $i > $i).
% 13.78/2.65  thf(b_type, type, b: $i).
% 13.78/2.65  thf(p0_type, type, p0: $i > $i > $i).
% 13.78/2.65  thf(m4_type, type, m4: $i > $i > $i).
% 13.78/2.65  thf(s4_type, type, s4: $i > $i).
% 13.78/2.65  thf(s2_type, type, s2: $i > $i).
% 13.78/2.65  thf(a_type, type, a: $i).
% 13.78/2.65  thf(s0_type, type, s0: $i > $i).
% 13.78/2.65  thf(rule_244, axiom,
% 13.78/2.65    (( ifeq @ ( n2 @ H ) @ true @ ( p3 @ H @ H @ H ) @ true ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl277, plain,
% 13.78/2.65      (![X0 : $i]:
% 13.78/2.65         ((ifeq @ (n2 @ X0) @ true @ (p3 @ X0 @ X0 @ X0) @ true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_244])).
% 13.78/2.65  thf(axiom_14, axiom, (( p0 @ b @ X ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_14])).
% 13.78/2.65  thf(rule_085, axiom,
% 13.78/2.65    (( ifeq @ ( p0 @ C @ B ) @ true @ ( p1 @ B @ B @ B ) @ true ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl121, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (p0 @ X0 @ X1) @ true @ (p1 @ X1 @ X1 @ X1) @ true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_085])).
% 13.78/2.65  thf(zip_derived_cl1300, plain,
% 13.78/2.65      (![X0 : $i]: ((ifeq @ true @ true @ (p1 @ X0 @ X0 @ X0) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl121])).
% 13.78/2.65  thf(ifeq_axiom, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl4088, plain, (![X0 : $i]: ((true) = (p1 @ X0 @ X0 @ X0))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl1300, zip_derived_cl0])).
% 13.78/2.65  thf(rule_137, axiom,
% 13.78/2.65    (( ifeq @ ( p1 @ B @ C @ A ) @ true @ ( n2 @ A ) @ true ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl172, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (p1 @ X0 @ X1 @ X2) @ true @ (n2 @ X2) @ true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_137])).
% 13.78/2.65  thf(zip_derived_cl4124, plain,
% 13.78/2.65      (![X0 : $i]: ((ifeq @ true @ true @ (n2 @ X0) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl4088, zip_derived_cl172])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl4240, plain, (![X0 : $i]: ((true) = (n2 @ X0))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl4124, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl4250, plain, (![X0 : $i]: ((p3 @ X0 @ X0 @ X0) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl277, zip_derived_cl4240, zip_derived_cl0])).
% 13.78/2.65  thf(axiom_34, axiom, (( n0 @ c @ d ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl34, plain, (((n0 @ c @ d) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_34])).
% 13.78/2.65  thf(rule_002, axiom,
% 13.78/2.65    (( ifeq @ ( n0 @ H @ G ) @ true @ ( l1 @ G @ G ) @ true ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl40, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (n0 @ X0 @ X1) @ true @ (l1 @ X1 @ X1) @ true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_002])).
% 13.78/2.65  thf(zip_derived_cl383, plain,
% 13.78/2.65      (((ifeq @ true @ true @ (l1 @ d @ d) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl40])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl421, plain, (((true) = (l1 @ d @ d))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl383, zip_derived_cl0])).
% 13.78/2.65  thf(rule_299, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( p3 @ B @ C @ D ) @ true @ 
% 13.78/2.65       ( ifeq @ ( l1 @ A @ C ) @ true @ ( s4 @ A ) @ true ) @ true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl330, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.78/2.65         ((ifeq @ (p3 @ X0 @ X1 @ X2) @ true @ 
% 13.78/2.65           (ifeq @ (l1 @ X3 @ X1) @ true @ (s4 @ X3) @ true) @ true) = (
% 13.78/2.65           true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_299])).
% 13.78/2.65  thf(zip_derived_cl3556, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (p3 @ X1 @ d @ X0) @ true @ 
% 13.78/2.65           (ifeq @ true @ true @ (s4 @ d) @ true) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl421, zip_derived_cl330])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl3566, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (p3 @ X1 @ d @ X0) @ true @ (s4 @ d) @ true) = (true))),
% 13.78/2.65      inference('demod', [status(thm)], [zip_derived_cl3556, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl7217, plain,
% 13.78/2.65      (((ifeq @ true @ true @ (s4 @ d) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl4250, zip_derived_cl3566])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl7219, plain, (((true) = (s4 @ d))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl7217, zip_derived_cl0])).
% 13.78/2.65  thf(rule_305, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( s4 @ B ) @ true @ 
% 13.78/2.65       ( ifeq @ ( m4 @ e @ e ) @ true @ ( m5 @ B @ B ) @ true ) @ true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl336, plain,
% 13.78/2.65      (![X0 : $i]:
% 13.78/2.65         ((ifeq @ (s4 @ X0) @ true @ 
% 13.78/2.65           (ifeq @ (m4 @ e @ e) @ true @ (m5 @ X0 @ X0) @ true) @ true)
% 13.78/2.65           = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_305])).
% 13.78/2.65  thf(zip_derived_cl7224, plain,
% 13.78/2.65      (((ifeq @ true @ true @ 
% 13.78/2.65         (ifeq @ (m4 @ e @ e) @ true @ (m5 @ d @ d) @ true) @ true) = (
% 13.78/2.65         true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl7219, zip_derived_cl336])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl8342, plain,
% 13.78/2.65      (((true) = (ifeq @ (m4 @ e @ e) @ true @ (m5 @ d @ d) @ true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl7224, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_14])).
% 13.78/2.65  thf(axiom_19, axiom, (( m0 @ X @ d @ Y ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl19, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]: ((m0 @ X0 @ d @ X1) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_19])).
% 13.78/2.65  thf(rule_133, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( s1 @ B ) @ true @ 
% 13.78/2.65       ( ifeq @
% 13.78/2.65         ( p0 @ A @ A ) @ true @ 
% 13.78/2.65         ( ifeq @ ( m0 @ C @ B @ J ) @ true @ ( l2 @ J @ J ) @ true ) @ true ) @ 
% 13.78/2.65       true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl168, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.78/2.65         ((ifeq @ (s1 @ X0) @ true @ 
% 13.78/2.65           (ifeq @ (p0 @ X1 @ X1) @ true @ 
% 13.78/2.65            (ifeq @ (m0 @ X2 @ X0 @ X3) @ true @ (l2 @ X3 @ X3) @ true) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_133])).
% 13.78/2.65  thf(zip_derived_cl2446, plain,
% 13.78/2.65      (![X0 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (s1 @ d) @ true @ 
% 13.78/2.65           (ifeq @ (p0 @ X2 @ X2) @ true @ 
% 13.78/2.65            (ifeq @ true @ true @ (l2 @ X0 @ X0) @ true) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl168])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl2456, plain,
% 13.78/2.65      (![X0 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (s1 @ d) @ true @ 
% 13.78/2.65           (ifeq @ (p0 @ X2 @ X2) @ true @ (l2 @ X0 @ X0) @ true) @ true)
% 13.78/2.65           = (true))),
% 13.78/2.65      inference('demod', [status(thm)], [zip_derived_cl2446, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_14])).
% 13.78/2.65  thf(rule_125, axiom,
% 13.78/2.65    (( ifeq @ ( p0 @ I @ I ) @ true @ ( s1 @ I ) @ true ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl161, plain,
% 13.78/2.65      (![X0 : $i]: ((ifeq @ (p0 @ X0 @ X0) @ true @ (s1 @ X0) @ true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_125])).
% 13.78/2.65  thf(zip_derived_cl372, plain,
% 13.78/2.65      (((ifeq @ true @ true @ (s1 @ b) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl161])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl455, plain, (((true) = (s1 @ b))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl372, zip_derived_cl0])).
% 13.78/2.65  thf(axiom_17, axiom, (( q0 @ X @ d ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl17, plain, (![X0 : $i]: ((q0 @ X0 @ d) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_17])).
% 13.78/2.65  thf(rule_126, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( s1 @ H ) @ true @ 
% 13.78/2.65       ( ifeq @ ( q0 @ F @ G ) @ true @ ( s1 @ F ) @ true ) @ true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl162, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (s1 @ X0) @ true @ 
% 13.78/2.65           (ifeq @ (q0 @ X1 @ X2) @ true @ (s1 @ X1) @ true) @ true) = (
% 13.78/2.65           true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_126])).
% 13.78/2.65  thf(zip_derived_cl2372, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (s1 @ X1) @ true @ (ifeq @ true @ true @ (s1 @ X0) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl162])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl2380, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (s1 @ X1) @ true @ (s1 @ X0) @ true) = (true))),
% 13.78/2.65      inference('demod', [status(thm)], [zip_derived_cl2372, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl2494, plain,
% 13.78/2.65      (![X0 : $i]: ((ifeq @ true @ true @ (s1 @ X0) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl455, zip_derived_cl2380])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl2511, plain, (![X0 : $i]: ((true) = (s1 @ X0))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl2494, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl9918, plain,
% 13.78/2.65      (![X0 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (p0 @ X2 @ X2) @ true @ (l2 @ X0 @ X0) @ true) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl2456, zip_derived_cl2511, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl9921, plain,
% 13.78/2.65      (![X0 : $i]: ((ifeq @ true @ true @ (l2 @ X0 @ X0) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl9918])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl9922, plain, (![X0 : $i]: ((true) = (l2 @ X0 @ X0))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl9921, zip_derived_cl0])).
% 13.78/2.65  thf(rule_279, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( s3 @ a @ E ) @ true @ 
% 13.78/2.65       ( ifeq @ ( l2 @ G @ F ) @ true @ ( m4 @ E @ F ) @ true ) @ true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl311, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (s3 @ a @ X0) @ true @ 
% 13.78/2.65           (ifeq @ (l2 @ X1 @ X2) @ true @ (m4 @ X0 @ X2) @ true) @ true)
% 13.78/2.65           = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_279])).
% 13.78/2.65  thf(zip_derived_cl9939, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (s3 @ a @ X1) @ true @ 
% 13.78/2.65           (ifeq @ true @ true @ (m4 @ X1 @ X0) @ true) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl9922, zip_derived_cl311])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl9944, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (s3 @ a @ X1) @ true @ (m4 @ X1 @ X0) @ true) = (true))),
% 13.78/2.65      inference('demod', [status(thm)], [zip_derived_cl9939, zip_derived_cl0])).
% 13.78/2.65  thf(axiom_13, axiom, (( r0 @ e ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl13, plain, (((r0 @ e) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_13])).
% 13.78/2.65  thf(zip_derived_cl19, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]: ((m0 @ X0 @ d @ X1) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_19])).
% 13.78/2.65  thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_14])).
% 13.78/2.65  thf(rule_003, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( p0 @ E @ C ) @ true @ 
% 13.78/2.65       ( ifeq @
% 13.78/2.65         ( r0 @ F ) @ true @ 
% 13.78/2.65         ( ifeq @ ( m0 @ D @ C @ E ) @ true @ ( l1 @ C @ D ) @ true ) @ true ) @ 
% 13.78/2.65       true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl41, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.78/2.65         ((ifeq @ (p0 @ X0 @ X1) @ true @ 
% 13.78/2.65           (ifeq @ (r0 @ X2) @ true @ 
% 13.78/2.65            (ifeq @ (m0 @ X3 @ X1 @ X0) @ true @ (l1 @ X1 @ X3) @ true) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_003])).
% 13.78/2.65  thf(zip_derived_cl397, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ true @ true @ 
% 13.78/2.65           (ifeq @ (r0 @ X2) @ true @ 
% 13.78/2.65            (ifeq @ (m0 @ X0 @ X1 @ b) @ true @ (l1 @ X1 @ X0) @ true) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl41])).
% 13.78/2.65  thf(zip_derived_cl4348, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ true @ true @ 
% 13.78/2.65           (ifeq @ (r0 @ X1) @ true @ 
% 13.78/2.65            (ifeq @ true @ true @ (l1 @ d @ X0) @ true) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl397])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl4356, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (r0 @ X1) @ true @ (l1 @ d @ X0) @ true) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl4348, zip_derived_cl0, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl6420, plain,
% 13.78/2.65      (![X0 : $i]: ((ifeq @ true @ true @ (l1 @ d @ X0) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl4356])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl6438, plain, (![X0 : $i]: ((true) = (l1 @ d @ X0))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl6420, zip_derived_cl0])).
% 13.78/2.65  thf(rule_186, axiom,
% 13.78/2.65    (( ifeq @ ( l1 @ H @ G ) @ true @ ( q2 @ G @ G @ H ) @ true ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl221, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (l1 @ X0 @ X1) @ true @ (q2 @ X1 @ X1 @ X0) @ true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_186])).
% 13.78/2.65  thf(zip_derived_cl6448, plain,
% 13.78/2.65      (![X0 : $i]: ((ifeq @ true @ true @ (q2 @ X0 @ X0 @ d) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl6438, zip_derived_cl221])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl6501, plain, (![X0 : $i]: ((true) = (q2 @ X0 @ X0 @ d))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl6448, zip_derived_cl0])).
% 13.78/2.65  thf(rule_075, axiom,
% 13.78/2.65    (( ifeq @ ( p0 @ b @ a ) @ true @ ( p1 @ a @ a @ a ) @ true ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl112, plain,
% 13.78/2.65      (((ifeq @ (p0 @ b @ a) @ true @ (p1 @ a @ a @ a) @ true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_075])).
% 13.78/2.65  thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_14])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl1456, plain, (((p1 @ a @ a @ a) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl112, zip_derived_cl14, zip_derived_cl0])).
% 13.78/2.65  thf(rule_082, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( p1 @ J @ H @ A ) @ true @ 
% 13.78/2.65       ( ifeq @ ( m0 @ J @ H @ A ) @ true @ ( p1 @ H @ I @ J ) @ true ) @ true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl118, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.78/2.65         ((ifeq @ (p1 @ X0 @ X1 @ X2) @ true @ 
% 13.78/2.65           (ifeq @ (m0 @ X0 @ X1 @ X2) @ true @ (p1 @ X1 @ X3 @ X0) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_082])).
% 13.78/2.65  thf(zip_derived_cl1595, plain,
% 13.78/2.65      (![X0 : $i]:
% 13.78/2.65         ((ifeq @ true @ true @ 
% 13.78/2.65           (ifeq @ (m0 @ a @ a @ a) @ true @ (p1 @ a @ X0 @ a) @ true) @ true)
% 13.78/2.65           = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl1456, zip_derived_cl118])).
% 13.78/2.65  thf(axiom_12, axiom, (( m0 @ a @ X @ a ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl12, plain, (![X0 : $i]: ((m0 @ a @ X0 @ a) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_12])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl1609, plain, (![X0 : $i]: ((p1 @ a @ X0 @ a) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl1595, zip_derived_cl12, zip_derived_cl0, 
% 13.78/2.65                 zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl118, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.78/2.65         ((ifeq @ (p1 @ X0 @ X1 @ X2) @ true @ 
% 13.78/2.65           (ifeq @ (m0 @ X0 @ X1 @ X2) @ true @ (p1 @ X1 @ X3 @ X0) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_082])).
% 13.78/2.65  thf(zip_derived_cl1675, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ true @ true @ 
% 13.78/2.65           (ifeq @ (m0 @ a @ X1 @ a) @ true @ (p1 @ X1 @ X0 @ a) @ true) @ true)
% 13.78/2.65           = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl1609, zip_derived_cl118])).
% 13.78/2.65  thf(zip_derived_cl12, plain, (![X0 : $i]: ((m0 @ a @ X0 @ a) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_12])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl1689, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]: ((p1 @ X1 @ X0 @ a) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl1675, zip_derived_cl12, zip_derived_cl0, 
% 13.78/2.65                 zip_derived_cl0])).
% 13.78/2.65  thf(rule_182, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( q2 @ G @ H @ F ) @ true @ 
% 13.78/2.65       ( ifeq @
% 13.78/2.65         ( p1 @ F @ F @ H ) @ true @ 
% 13.78/2.65         ( ifeq @ ( n1 @ G @ F @ H ) @ true @ ( q2 @ F @ G @ F ) @ true ) @ 
% 13.78/2.65         true ) @ 
% 13.78/2.65       true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl217, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (q2 @ X0 @ X1 @ X2) @ true @ 
% 13.78/2.65           (ifeq @ (p1 @ X2 @ X2 @ X1) @ true @ 
% 13.78/2.65            (ifeq @ (n1 @ X0 @ X2 @ X1) @ true @ (q2 @ X2 @ X0 @ X2) @ true) @ 
% 13.78/2.65            true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_182])).
% 13.78/2.65  thf(zip_derived_cl3062, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (q2 @ X1 @ a @ X0) @ true @ 
% 13.78/2.65           (ifeq @ true @ true @ 
% 13.78/2.65            (ifeq @ (n1 @ X1 @ X0 @ a) @ true @ (q2 @ X0 @ X1 @ X0) @ true) @ 
% 13.78/2.65            true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl1689, zip_derived_cl217])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl3079, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (q2 @ X1 @ a @ X0) @ true @ 
% 13.78/2.65           (ifeq @ (n1 @ X1 @ X0 @ a) @ true @ (q2 @ X0 @ X1 @ X0) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('demod', [status(thm)], [zip_derived_cl3062, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl11558, plain,
% 13.78/2.65      (((ifeq @ true @ true @ 
% 13.78/2.65         (ifeq @ (n1 @ a @ d @ a) @ true @ (q2 @ d @ a @ d) @ true) @ true)
% 13.78/2.65         = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl6501, zip_derived_cl3079])).
% 13.78/2.65  thf(axiom_20, axiom, (( l0 @ a ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl20, plain, (((l0 @ a) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_20])).
% 13.78/2.65  thf(rule_050, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( l0 @ D ) @ true @ 
% 13.78/2.65       ( ifeq @
% 13.78/2.65         ( p0 @ b @ E ) @ true @ 
% 13.78/2.65         ( ifeq @ ( s0 @ b ) @ true @ ( n1 @ D @ E @ D ) @ true ) @ true ) @ 
% 13.78/2.65       true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl87, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (l0 @ X0) @ true @ 
% 13.78/2.65           (ifeq @ (p0 @ b @ X1) @ true @ 
% 13.78/2.65            (ifeq @ (s0 @ b) @ true @ (n1 @ X0 @ X1 @ X0) @ true) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_050])).
% 13.78/2.65  thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_14])).
% 13.78/2.65  thf(axiom_5, axiom, (( s0 @ b ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl5, plain, (((s0 @ b) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_5])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl1047, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (l0 @ X0) @ true @ (n1 @ X0 @ X1 @ X0) @ true) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl87, zip_derived_cl14, zip_derived_cl5, 
% 13.78/2.65                 zip_derived_cl0, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl1052, plain,
% 13.78/2.65      (![X0 : $i]: ((ifeq @ true @ true @ (n1 @ a @ X0 @ a) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1047])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl5150, plain, (![X0 : $i]: ((true) = (n1 @ a @ X0 @ a))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl1052, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl11573, plain, (((q2 @ d @ a @ d) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl11558, zip_derived_cl5150, zip_derived_cl0, 
% 13.78/2.65                 zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl19, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]: ((m0 @ X0 @ d @ X1) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_19])).
% 13.78/2.65  thf(rule_273, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( s2 @ I ) @ true @ 
% 13.78/2.65       ( ifeq @
% 13.78/2.65         ( q2 @ A @ I @ A ) @ true @ 
% 13.78/2.65         ( ifeq @ ( m0 @ A @ B @ J ) @ true @ ( s3 @ I @ J ) @ true ) @ true ) @ 
% 13.78/2.65       true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl306, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.78/2.65         ((ifeq @ (s2 @ X0) @ true @ 
% 13.78/2.65           (ifeq @ (q2 @ X1 @ X0 @ X1) @ true @ 
% 13.78/2.65            (ifeq @ (m0 @ X1 @ X2 @ X3) @ true @ (s3 @ X0 @ X3) @ true) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_273])).
% 13.78/2.65  thf(zip_derived_cl4057, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (s2 @ X1) @ true @ 
% 13.78/2.65           (ifeq @ (q2 @ X2 @ X1 @ X2) @ true @ 
% 13.78/2.65            (ifeq @ true @ true @ (s3 @ X1 @ X0) @ true) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl306])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl4071, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (s2 @ X1) @ true @ 
% 13.78/2.65           (ifeq @ (q2 @ X2 @ X1 @ X2) @ true @ (s3 @ X1 @ X0) @ true) @ true)
% 13.78/2.65           = (true))),
% 13.78/2.65      inference('demod', [status(thm)], [zip_derived_cl4057, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl14736, plain,
% 13.78/2.65      (![X0 : $i]:
% 13.78/2.65         ((ifeq @ (s2 @ a) @ true @ 
% 13.78/2.65           (ifeq @ true @ true @ (s3 @ a @ X0) @ true) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl11573, zip_derived_cl4071])).
% 13.78/2.65  thf(axiom_37, axiom, (( n0 @ b @ a ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl37, plain, (((n0 @ b @ a) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_37])).
% 13.78/2.65  thf(zip_derived_cl40, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (n0 @ X0 @ X1) @ true @ (l1 @ X1 @ X1) @ true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_002])).
% 13.78/2.65  thf(zip_derived_cl382, plain,
% 13.78/2.65      (((ifeq @ true @ true @ (l1 @ a @ a) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl40])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl682, plain, (((true) = (l1 @ a @ a))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl382, zip_derived_cl0])).
% 13.78/2.65  thf(rule_054, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( n1 @ E @ F @ E ) @ true @ 
% 13.78/2.65       ( ifeq @
% 13.78/2.65         ( l0 @ G ) @ true @ 
% 13.78/2.65         ( ifeq @ ( l1 @ G @ E ) @ true @ ( n1 @ E @ F @ F ) @ true ) @ true ) @ 
% 13.78/2.65       true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl91, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (n1 @ X0 @ X1 @ X0) @ true @ 
% 13.78/2.65           (ifeq @ (l0 @ X2) @ true @ 
% 13.78/2.65            (ifeq @ (l1 @ X2 @ X0) @ true @ (n1 @ X0 @ X1 @ X1) @ true) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_054])).
% 13.78/2.65  thf(zip_derived_cl1135, plain,
% 13.78/2.65      (![X0 : $i]:
% 13.78/2.65         ((ifeq @ (n1 @ a @ X0 @ a) @ true @ 
% 13.78/2.65           (ifeq @ (l0 @ a) @ true @ 
% 13.78/2.65            (ifeq @ true @ true @ (n1 @ a @ X0 @ X0) @ true) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl682, zip_derived_cl91])).
% 13.78/2.65  thf(zip_derived_cl20, plain, (((l0 @ a) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_20])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl1146, plain,
% 13.78/2.65      (![X0 : $i]:
% 13.78/2.65         ((ifeq @ (n1 @ a @ X0 @ a) @ true @ (n1 @ a @ X0 @ X0) @ true)
% 13.78/2.65           = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl1135, zip_derived_cl20, zip_derived_cl0, 
% 13.78/2.65                 zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl5150, plain, (![X0 : $i]: ((true) = (n1 @ a @ X0 @ a))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl1052, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl6744, plain, (![X0 : $i]: ((n1 @ a @ X0 @ X0) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl1146, zip_derived_cl5150, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl19, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]: ((m0 @ X0 @ d @ X1) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_19])).
% 13.78/2.65  thf(rule_014, axiom,
% 13.78/2.65    (( ifeq @ ( m0 @ F @ G @ E ) @ true @ ( m1 @ E @ E @ E ) @ true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl52, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (m0 @ X0 @ X1 @ X2) @ true @ (m1 @ X2 @ X2 @ X2) @ true)
% 13.78/2.65           = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_014])).
% 13.78/2.65  thf(zip_derived_cl537, plain,
% 13.78/2.65      (![X0 : $i]: ((ifeq @ true @ true @ (m1 @ X0 @ X0 @ X0) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl52])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl868, plain, (![X0 : $i]: ((true) = (m1 @ X0 @ X0 @ X0))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl537, zip_derived_cl0])).
% 13.78/2.65  thf(rule_083, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( m1 @ F @ G @ b ) @ true @ 
% 13.78/2.65       ( ifeq @ ( k0 @ G ) @ true @ ( p1 @ F @ b @ G ) @ true ) @ true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl119, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (m1 @ X0 @ X1 @ b) @ true @ 
% 13.78/2.65           (ifeq @ (k0 @ X1) @ true @ (p1 @ X0 @ b @ X1) @ true) @ true)
% 13.78/2.65           = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_083])).
% 13.78/2.65  thf(zip_derived_cl1646, plain,
% 13.78/2.65      (((ifeq @ true @ true @ 
% 13.78/2.65         (ifeq @ (k0 @ b) @ true @ (p1 @ b @ b @ b) @ true) @ true) = (
% 13.78/2.65         true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl868, zip_derived_cl119])).
% 13.78/2.65  thf(axiom_32, axiom, (( k0 @ b ) = ( true ))).
% 13.78/2.65  thf(zip_derived_cl32, plain, (((k0 @ b) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_32])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl1654, plain, (((p1 @ b @ b @ b) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl1646, zip_derived_cl32, zip_derived_cl0, 
% 13.78/2.65                 zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl217, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]:
% 13.78/2.65         ((ifeq @ (q2 @ X0 @ X1 @ X2) @ true @ 
% 13.78/2.65           (ifeq @ (p1 @ X2 @ X2 @ X1) @ true @ 
% 13.78/2.65            (ifeq @ (n1 @ X0 @ X2 @ X1) @ true @ (q2 @ X2 @ X0 @ X2) @ true) @ 
% 13.78/2.65            true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_182])).
% 13.78/2.65  thf(zip_derived_cl3065, plain,
% 13.78/2.65      (![X0 : $i]:
% 13.78/2.65         ((ifeq @ (q2 @ X0 @ b @ b) @ true @ 
% 13.78/2.65           (ifeq @ true @ true @ 
% 13.78/2.65            (ifeq @ (n1 @ X0 @ b @ b) @ true @ (q2 @ b @ X0 @ b) @ true) @ true) @ 
% 13.78/2.65           true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl1654, zip_derived_cl217])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl3082, plain,
% 13.78/2.65      (![X0 : $i]:
% 13.78/2.65         ((ifeq @ (q2 @ X0 @ b @ b) @ true @ 
% 13.78/2.65           (ifeq @ (n1 @ X0 @ b @ b) @ true @ (q2 @ b @ X0 @ b) @ true) @ true)
% 13.78/2.65           = (true))),
% 13.78/2.65      inference('demod', [status(thm)], [zip_derived_cl3065, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl32, plain, (((k0 @ b) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [axiom_32])).
% 13.78/2.65  thf(rule_177, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( p1 @ E @ E @ E ) @ true @ 
% 13.78/2.65       ( ifeq @ ( k0 @ F ) @ true @ ( q2 @ E @ F @ F ) @ true ) @ true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl212, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (p1 @ X0 @ X0 @ X0) @ true @ 
% 13.78/2.65           (ifeq @ (k0 @ X1) @ true @ (q2 @ X0 @ X1 @ X1) @ true) @ true)
% 13.78/2.65           = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_177])).
% 13.78/2.65  thf(zip_derived_cl4088, plain, (![X0 : $i]: ((true) = (p1 @ X0 @ X0 @ X0))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl1300, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl4115, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]:
% 13.78/2.65         ((ifeq @ (k0 @ X1) @ true @ (q2 @ X0 @ X1 @ X1) @ true) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl212, zip_derived_cl4088, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl6693, plain,
% 13.78/2.65      (![X0 : $i]: ((ifeq @ true @ true @ (q2 @ X0 @ b @ b) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl4115])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl7020, plain, (![X0 : $i]: ((true) = (q2 @ X0 @ b @ b))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl6693, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl11663, plain,
% 13.78/2.65      (![X0 : $i]:
% 13.78/2.65         ((ifeq @ (n1 @ X0 @ b @ b) @ true @ (q2 @ b @ X0 @ b) @ true) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl3082, zip_derived_cl7020, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl11668, plain,
% 13.78/2.65      (((ifeq @ true @ true @ (q2 @ b @ a @ b) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl6744, zip_derived_cl11663])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl11764, plain, (((true) = (q2 @ b @ a @ b))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl11668, zip_derived_cl0])).
% 13.78/2.65  thf(rule_189, axiom,
% 13.78/2.65    (( ifeq @
% 13.78/2.65       ( q2 @ b @ H @ b ) @ true @ 
% 13.78/2.65       ( ifeq @ ( s1 @ b ) @ true @ ( s2 @ H ) @ true ) @ true ) =
% 13.78/2.65     ( true ))).
% 13.78/2.65  thf(zip_derived_cl224, plain,
% 13.78/2.65      (![X0 : $i]:
% 13.78/2.65         ((ifeq @ (q2 @ b @ X0 @ b) @ true @ 
% 13.78/2.65           (ifeq @ (s1 @ b) @ true @ (s2 @ X0) @ true) @ true) = (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [rule_189])).
% 13.78/2.65  thf(zip_derived_cl2511, plain, (![X0 : $i]: ((true) = (s1 @ X0))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl2494, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl3188, plain,
% 13.78/2.65      (![X0 : $i]:
% 13.78/2.65         ((ifeq @ (q2 @ b @ X0 @ b) @ true @ (s2 @ X0) @ true) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl224, zip_derived_cl2511, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl11775, plain,
% 13.78/2.65      (((ifeq @ true @ true @ (s2 @ a) @ true) = (true))),
% 13.78/2.65      inference('s_sup+', [status(thm)],
% 13.78/2.65                [zip_derived_cl11764, zip_derived_cl3188])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl11799, plain, (((true) = (s2 @ a))),
% 13.78/2.65      inference('s_sup+', [status(thm)], [zip_derived_cl11775, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl14757, plain, (![X0 : $i]: ((s3 @ a @ X0) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl14736, zip_derived_cl11799, zip_derived_cl0, 
% 13.78/2.65                 zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl14773, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i]: ((m4 @ X1 @ X0) = (true))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl9944, zip_derived_cl14757, zip_derived_cl0])).
% 13.78/2.65  thf(zip_derived_cl0, plain,
% 13.78/2.65      (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.78/2.65      inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.78/2.65  thf(zip_derived_cl14781, plain, (((true) = (m5 @ d @ d))),
% 13.78/2.65      inference('demod', [status(thm)],
% 13.78/2.65                [zip_derived_cl8342, zip_derived_cl14773, zip_derived_cl0])).
% 13.78/2.65  thf(prove_this, conjecture, (( m5 @ d @ d ) = ( true ))).
% 13.78/2.65  thf(zf_stmt_0, negated_conjecture, (( m5 @ d @ d ) != ( true )),
% 13.78/2.65    inference('cnf.neg', [status(esa)], [prove_this])).
% 13.78/2.65  thf(zip_derived_cl362, plain, (((m5 @ d @ d) != (true))),
% 13.78/2.65      inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.78/2.65  thf(zip_derived_cl14782, plain, ($false),
% 13.78/2.65      inference('simplify_reflect-', [status(thm)],
% 13.78/2.65                [zip_derived_cl14781, zip_derived_cl362])).
% 13.78/2.65  
% 13.78/2.65  % SZS output end Refutation
% 13.78/2.65  
% 13.78/2.65  
% 13.78/2.65  % Terminating...
% 14.52/2.74  % Runner terminated.
% 14.52/2.74  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------