TSTP Solution File: SYN143-10 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN143-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bpwZKVikl6 true
% Computer : n011.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 : Fri Sep 1 04:01:54 EDT 2023
% Result : Unsatisfiable 13.14s 2.53s
% Output : Refutation 13.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SYN143-10 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bpwZKVikl6 true
% 0.15/0.35 % Computer : n011.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 20:21:39 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.36 % Python version: Python 3.6.8
% 0.15/0.36 % Running in FO mode
% 0.22/0.65 % Total configuration time : 435
% 0.22/0.65 % Estimated wc time : 1092
% 0.22/0.65 % Estimated cpu time (7 cpus) : 156.0
% 1.03/0.76 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.42/0.78 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.42/0.79 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.42/0.80 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.42/0.82 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.42/0.82 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.42/0.84 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.59/0.97 % /export/starexec/sandbox/solver/bin/fo/fo1_lcnf.sh running for 50s
% 13.14/2.53 % Solved by fo/fo1_av.sh.
% 13.14/2.53 % done 4280 iterations in 1.691s
% 13.14/2.53 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 13.14/2.53 % SZS output start Refutation
% 13.14/2.53 thf(k0_type, type, k0: $i > $i).
% 13.14/2.53 thf(p1_type, type, p1: $i > $i > $i > $i).
% 13.14/2.53 thf(l2_type, type, l2: $i > $i > $i).
% 13.14/2.53 thf(s1_type, type, s1: $i > $i).
% 13.14/2.53 thf(p3_type, type, p3: $i > $i > $i > $i).
% 13.14/2.53 thf(n2_type, type, n2: $i > $i).
% 13.14/2.53 thf(d_type, type, d: $i).
% 13.14/2.53 thf(e_type, type, e: $i).
% 13.14/2.53 thf(true_type, type, true: $i).
% 13.14/2.53 thf(m0_type, type, m0: $i > $i > $i > $i).
% 13.14/2.53 thf(m5_type, type, m5: $i > $i > $i).
% 13.14/2.53 thf(s3_type, type, s3: $i > $i > $i).
% 13.14/2.53 thf(c_type, type, c: $i).
% 13.14/2.53 thf(n0_type, type, n0: $i > $i > $i).
% 13.14/2.53 thf(l1_type, type, l1: $i > $i > $i).
% 13.14/2.53 thf(ifeq_type, type, ifeq: $i > $i > $i > $i > $i).
% 13.14/2.53 thf(q2_type, type, q2: $i > $i > $i > $i).
% 13.14/2.53 thf(n1_type, type, n1: $i > $i > $i > $i).
% 13.14/2.53 thf(q0_type, type, q0: $i > $i > $i).
% 13.14/2.53 thf(r0_type, type, r0: $i > $i).
% 13.14/2.53 thf(l0_type, type, l0: $i > $i).
% 13.14/2.53 thf(b_type, type, b: $i).
% 13.14/2.53 thf(p0_type, type, p0: $i > $i > $i).
% 13.14/2.53 thf(m4_type, type, m4: $i > $i > $i).
% 13.14/2.53 thf(s4_type, type, s4: $i > $i).
% 13.14/2.53 thf(s2_type, type, s2: $i > $i).
% 13.14/2.53 thf(a_type, type, a: $i).
% 13.14/2.53 thf(s0_type, type, s0: $i > $i).
% 13.14/2.53 thf(rule_244, axiom,
% 13.14/2.53 (( ifeq @ ( n2 @ H ) @ true @ ( p3 @ H @ H @ H ) @ true ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl277, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ (n2 @ X0) @ true @ (p3 @ X0 @ X0 @ X0) @ true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_244])).
% 13.14/2.53 thf(axiom_14, axiom, (( p0 @ b @ X ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_14])).
% 13.14/2.53 thf(rule_085, axiom,
% 13.14/2.53 (( ifeq @ ( p0 @ C @ B ) @ true @ ( p1 @ B @ B @ B ) @ true ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl121, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (p0 @ X0 @ X1) @ true @ (p1 @ X1 @ X1 @ X1) @ true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_085])).
% 13.14/2.53 thf(zip_derived_cl1110, plain,
% 13.14/2.53 (![X0 : $i]: ((ifeq @ true @ true @ (p1 @ X0 @ X0 @ X0) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl121])).
% 13.14/2.53 thf(ifeq_axiom, axiom, (( ifeq @ A @ A @ B @ C ) = ( B ))).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl1176, plain, (![X0 : $i]: ((true) = (p1 @ X0 @ X0 @ X0))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl1110, zip_derived_cl0])).
% 13.14/2.53 thf(rule_137, axiom,
% 13.14/2.53 (( ifeq @ ( p1 @ B @ C @ A ) @ true @ ( n2 @ A ) @ true ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl172, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.14/2.53 ((ifeq @ (p1 @ X0 @ X1 @ X2) @ true @ (n2 @ X2) @ true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_137])).
% 13.14/2.53 thf(zip_derived_cl1187, plain,
% 13.14/2.53 (![X0 : $i]: ((ifeq @ true @ true @ (n2 @ X0) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl1176, zip_derived_cl172])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl1218, plain, (![X0 : $i]: ((true) = (n2 @ X0))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl1187, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl1226, plain, (![X0 : $i]: ((p3 @ X0 @ X0 @ X0) = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl277, zip_derived_cl1218, zip_derived_cl0])).
% 13.14/2.53 thf(axiom_34, axiom, (( n0 @ c @ d ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl34, plain, (((n0 @ c @ d) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_34])).
% 13.14/2.53 thf(rule_002, axiom,
% 13.14/2.53 (( ifeq @ ( n0 @ H @ G ) @ true @ ( l1 @ G @ G ) @ true ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl40, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (n0 @ X0 @ X1) @ true @ (l1 @ X1 @ X1) @ true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_002])).
% 13.14/2.53 thf(zip_derived_cl385, plain,
% 13.14/2.53 (((ifeq @ true @ true @ (l1 @ d @ d) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl34, zip_derived_cl40])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl393, plain, (((true) = (l1 @ d @ d))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl385, zip_derived_cl0])).
% 13.14/2.53 thf(rule_299, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( p3 @ B @ C @ D ) @ true @
% 13.14/2.53 ( ifeq @ ( l1 @ A @ C ) @ true @ ( s4 @ A ) @ true ) @ true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl330, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.14/2.53 ((ifeq @ (p3 @ X0 @ X1 @ X2) @ true @
% 13.14/2.53 (ifeq @ (l1 @ X3 @ X1) @ true @ (s4 @ X3) @ true) @ true) = (
% 13.14/2.53 true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_299])).
% 13.14/2.53 thf(zip_derived_cl3486, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (p3 @ X1 @ d @ X0) @ true @
% 13.14/2.53 (ifeq @ true @ true @ (s4 @ d) @ true) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl393, zip_derived_cl330])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl3493, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (p3 @ X1 @ d @ X0) @ true @ (s4 @ d) @ true) = (true))),
% 13.14/2.53 inference('demod', [status(thm)], [zip_derived_cl3486, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl3514, plain,
% 13.14/2.53 (((ifeq @ true @ true @ (s4 @ d) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl1226, zip_derived_cl3493])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl3515, plain, (((true) = (s4 @ d))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl3514, zip_derived_cl0])).
% 13.14/2.53 thf(rule_305, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( s4 @ B ) @ true @
% 13.14/2.53 ( ifeq @ ( m4 @ e @ e ) @ true @ ( m5 @ B @ B ) @ true ) @ true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl336, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ (s4 @ X0) @ true @
% 13.14/2.53 (ifeq @ (m4 @ e @ e) @ true @ (m5 @ X0 @ X0) @ true) @ true)
% 13.14/2.53 = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_305])).
% 13.14/2.53 thf(zip_derived_cl3520, plain,
% 13.14/2.53 (((ifeq @ true @ true @
% 13.14/2.53 (ifeq @ (m4 @ e @ e) @ true @ (m5 @ d @ d) @ true) @ true) = (
% 13.14/2.53 true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl3515, zip_derived_cl336])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl3549, plain,
% 13.14/2.53 (((true) = (ifeq @ (m4 @ e @ e) @ true @ (m5 @ d @ d) @ true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl3520, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_14])).
% 13.14/2.53 thf(axiom_19, axiom, (( m0 @ X @ d @ Y ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl19, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]: ((m0 @ X0 @ d @ X1) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_19])).
% 13.14/2.53 thf(rule_133, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( s1 @ B ) @ true @
% 13.14/2.53 ( ifeq @
% 13.14/2.53 ( p0 @ A @ A ) @ true @
% 13.14/2.53 ( ifeq @ ( m0 @ C @ B @ J ) @ true @ ( l2 @ J @ J ) @ true ) @ true ) @
% 13.14/2.53 true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl168, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.14/2.53 ((ifeq @ (s1 @ X0) @ true @
% 13.14/2.53 (ifeq @ (p0 @ X1 @ X1) @ true @
% 13.14/2.53 (ifeq @ (m0 @ X2 @ X0 @ X3) @ true @ (l2 @ X3 @ X3) @ true) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_133])).
% 13.14/2.53 thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_14])).
% 13.14/2.53 thf(rule_125, axiom,
% 13.14/2.53 (( ifeq @ ( p0 @ I @ I ) @ true @ ( s1 @ I ) @ true ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl161, plain,
% 13.14/2.53 (![X0 : $i]: ((ifeq @ (p0 @ X0 @ X0) @ true @ (s1 @ X0) @ true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_125])).
% 13.14/2.53 thf(zip_derived_cl448, plain,
% 13.14/2.53 (((ifeq @ true @ true @ (s1 @ b) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl161])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl449, plain, (((true) = (s1 @ b))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl448, zip_derived_cl0])).
% 13.14/2.53 thf(axiom_17, axiom, (( q0 @ X @ d ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl17, plain, (![X0 : $i]: ((q0 @ X0 @ d) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_17])).
% 13.14/2.53 thf(rule_126, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( s1 @ H ) @ true @
% 13.14/2.53 ( ifeq @ ( q0 @ F @ G ) @ true @ ( s1 @ F ) @ true ) @ true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl162, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.14/2.53 ((ifeq @ (s1 @ X0) @ true @
% 13.14/2.53 (ifeq @ (q0 @ X1 @ X2) @ true @ (s1 @ X1) @ true) @ true) = (
% 13.14/2.53 true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_126])).
% 13.14/2.53 thf(zip_derived_cl2333, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (s1 @ X1) @ true @ (ifeq @ true @ true @ (s1 @ X0) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl162])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl2341, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (s1 @ X1) @ true @ (s1 @ X0) @ true) = (true))),
% 13.14/2.53 inference('demod', [status(thm)], [zip_derived_cl2333, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl2353, plain,
% 13.14/2.53 (![X0 : $i]: ((ifeq @ true @ true @ (s1 @ X0) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl449, zip_derived_cl2341])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl2371, plain, (![X0 : $i]: ((true) = (s1 @ X0))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl2353, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl2923, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.14/2.53 ((ifeq @ (p0 @ X1 @ X1) @ true @
% 13.14/2.53 (ifeq @ (m0 @ X2 @ X0 @ X3) @ true @ (l2 @ X3 @ X3) @ true) @ true)
% 13.14/2.53 = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl168, zip_derived_cl2371, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl2924, plain,
% 13.14/2.53 (![X0 : $i, X2 : $i]:
% 13.14/2.53 ((ifeq @ (p0 @ X2 @ X2) @ true @
% 13.14/2.53 (ifeq @ true @ true @ (l2 @ X0 @ X0) @ true) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl2923])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl2933, plain,
% 13.14/2.53 (![X0 : $i, X2 : $i]:
% 13.14/2.53 ((ifeq @ (p0 @ X2 @ X2) @ true @ (l2 @ X0 @ X0) @ true) = (true))),
% 13.14/2.53 inference('demod', [status(thm)], [zip_derived_cl2924, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl2941, plain,
% 13.14/2.53 (![X0 : $i]: ((ifeq @ true @ true @ (l2 @ X0 @ X0) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl2933])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl2942, plain, (![X0 : $i]: ((true) = (l2 @ X0 @ X0))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl2941, zip_derived_cl0])).
% 13.14/2.53 thf(rule_279, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( s3 @ a @ E ) @ true @
% 13.14/2.53 ( ifeq @ ( l2 @ G @ F ) @ true @ ( m4 @ E @ F ) @ true ) @ true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl311, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.14/2.53 ((ifeq @ (s3 @ a @ X0) @ true @
% 13.14/2.53 (ifeq @ (l2 @ X1 @ X2) @ true @ (m4 @ X0 @ X2) @ true) @ true)
% 13.14/2.53 = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_279])).
% 13.14/2.53 thf(zip_derived_cl3387, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (s3 @ a @ X1) @ true @
% 13.14/2.53 (ifeq @ true @ true @ (m4 @ X1 @ X0) @ true) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl2942, zip_derived_cl311])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl3390, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (s3 @ a @ X1) @ true @ (m4 @ X1 @ X0) @ true) = (true))),
% 13.14/2.53 inference('demod', [status(thm)], [zip_derived_cl3387, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl19, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]: ((m0 @ X0 @ d @ X1) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_19])).
% 13.14/2.53 thf(axiom_13, axiom, (( r0 @ e ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl13, plain, (((r0 @ e) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_13])).
% 13.14/2.53 thf(zip_derived_cl19, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]: ((m0 @ X0 @ d @ X1) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_19])).
% 13.14/2.53 thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_14])).
% 13.14/2.53 thf(rule_003, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( p0 @ E @ C ) @ true @
% 13.14/2.53 ( ifeq @
% 13.14/2.53 ( r0 @ F ) @ true @
% 13.14/2.53 ( ifeq @ ( m0 @ D @ C @ E ) @ true @ ( l1 @ C @ D ) @ true ) @ true ) @
% 13.14/2.53 true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl41, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.14/2.53 ((ifeq @ (p0 @ X0 @ X1) @ true @
% 13.14/2.53 (ifeq @ (r0 @ X2) @ true @
% 13.14/2.53 (ifeq @ (m0 @ X3 @ X1 @ X0) @ true @ (l1 @ X1 @ X3) @ true) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_003])).
% 13.14/2.53 thf(zip_derived_cl407, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.14/2.53 ((ifeq @ true @ true @
% 13.14/2.53 (ifeq @ (r0 @ X2) @ true @
% 13.14/2.53 (ifeq @ (m0 @ X0 @ X1 @ b) @ true @ (l1 @ X1 @ X0) @ true) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl14, zip_derived_cl41])).
% 13.14/2.53 thf(zip_derived_cl4889, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ true @ true @
% 13.14/2.53 (ifeq @ (r0 @ X1) @ true @
% 13.14/2.53 (ifeq @ true @ true @ (l1 @ d @ X0) @ true) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl19, zip_derived_cl407])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl4898, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (r0 @ X1) @ true @ (l1 @ d @ X0) @ true) = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl4889, zip_derived_cl0, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl4916, plain,
% 13.14/2.53 (![X0 : $i]: ((ifeq @ true @ true @ (l1 @ d @ X0) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl13, zip_derived_cl4898])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl4918, plain, (![X0 : $i]: ((true) = (l1 @ d @ X0))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl4916, zip_derived_cl0])).
% 13.14/2.53 thf(rule_186, axiom,
% 13.14/2.53 (( ifeq @ ( l1 @ H @ G ) @ true @ ( q2 @ G @ G @ H ) @ true ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl221, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (l1 @ X0 @ X1) @ true @ (q2 @ X1 @ X1 @ X0) @ true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_186])).
% 13.14/2.53 thf(zip_derived_cl4939, plain,
% 13.14/2.53 (![X0 : $i]: ((ifeq @ true @ true @ (q2 @ X0 @ X0 @ d) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl4918, zip_derived_cl221])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl4958, plain, (![X0 : $i]: ((true) = (q2 @ X0 @ X0 @ d))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl4939, zip_derived_cl0])).
% 13.14/2.53 thf(axiom_20, axiom, (( l0 @ a ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl20, plain, (((l0 @ a) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_20])).
% 13.14/2.53 thf(rule_050, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( l0 @ D ) @ true @
% 13.14/2.53 ( ifeq @
% 13.14/2.53 ( p0 @ b @ E ) @ true @
% 13.14/2.53 ( ifeq @ ( s0 @ b ) @ true @ ( n1 @ D @ E @ D ) @ true ) @ true ) @
% 13.14/2.53 true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl87, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (l0 @ X0) @ true @
% 13.14/2.53 (ifeq @ (p0 @ b @ X1) @ true @
% 13.14/2.53 (ifeq @ (s0 @ b) @ true @ (n1 @ X0 @ X1 @ X0) @ true) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_050])).
% 13.14/2.53 thf(zip_derived_cl14, plain, (![X0 : $i]: ((p0 @ b @ X0) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_14])).
% 13.14/2.53 thf(axiom_5, axiom, (( s0 @ b ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl5, plain, (((s0 @ b) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_5])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl1325, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (l0 @ X0) @ true @ (n1 @ X0 @ X1 @ X0) @ true) = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl87, zip_derived_cl14, zip_derived_cl5,
% 13.14/2.53 zip_derived_cl0, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl1331, plain,
% 13.14/2.53 (![X0 : $i]: ((ifeq @ true @ true @ (n1 @ a @ X0 @ a) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl20, zip_derived_cl1325])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl1827, plain, (![X0 : $i]: ((true) = (n1 @ a @ X0 @ a))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl1331, zip_derived_cl0])).
% 13.14/2.53 thf(rule_182, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( q2 @ G @ H @ F ) @ true @
% 13.14/2.53 ( ifeq @
% 13.14/2.53 ( p1 @ F @ F @ H ) @ true @
% 13.14/2.53 ( ifeq @ ( n1 @ G @ F @ H ) @ true @ ( q2 @ F @ G @ F ) @ true ) @
% 13.14/2.53 true ) @
% 13.14/2.53 true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl217, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.14/2.53 ((ifeq @ (q2 @ X0 @ X1 @ X2) @ true @
% 13.14/2.53 (ifeq @ (p1 @ X2 @ X2 @ X1) @ true @
% 13.14/2.53 (ifeq @ (n1 @ X0 @ X2 @ X1) @ true @ (q2 @ X2 @ X0 @ X2) @ true) @
% 13.14/2.53 true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_182])).
% 13.14/2.53 thf(zip_derived_cl3678, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ (q2 @ a @ a @ X0) @ true @
% 13.14/2.53 (ifeq @ (p1 @ X0 @ X0 @ a) @ true @
% 13.14/2.53 (ifeq @ true @ true @ (q2 @ X0 @ a @ X0) @ true) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl1827, zip_derived_cl217])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl3704, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ (q2 @ a @ a @ X0) @ true @
% 13.14/2.53 (ifeq @ (p1 @ X0 @ X0 @ a) @ true @ (q2 @ X0 @ a @ X0) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('demod', [status(thm)], [zip_derived_cl3678, zip_derived_cl0])).
% 13.14/2.53 thf(axiom_12, axiom, (( m0 @ a @ X @ a ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl12, plain, (![X0 : $i]: ((m0 @ a @ X0 @ a) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_12])).
% 13.14/2.53 thf(zip_derived_cl1176, plain, (![X0 : $i]: ((true) = (p1 @ X0 @ X0 @ X0))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl1110, zip_derived_cl0])).
% 13.14/2.53 thf(rule_082, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( p1 @ J @ H @ A ) @ true @
% 13.14/2.53 ( ifeq @ ( m0 @ J @ H @ A ) @ true @ ( p1 @ H @ I @ J ) @ true ) @ true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl118, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.14/2.53 ((ifeq @ (p1 @ X0 @ X1 @ X2) @ true @
% 13.14/2.53 (ifeq @ (m0 @ X0 @ X1 @ X2) @ true @ (p1 @ X1 @ X3 @ X0) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_082])).
% 13.14/2.53 thf(zip_derived_cl2033, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ true @ true @
% 13.14/2.53 (ifeq @ (m0 @ X0 @ X0 @ X0) @ true @ (p1 @ X0 @ X1 @ X0) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl1176, zip_derived_cl118])).
% 13.14/2.53 thf(zip_derived_cl8919, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ true @ true @
% 13.14/2.53 (ifeq @ true @ true @ (p1 @ a @ X0 @ a) @ true) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl2033])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl8929, plain, (![X0 : $i]: ((p1 @ a @ X0 @ a) = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl8919, zip_derived_cl0, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl118, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.14/2.53 ((ifeq @ (p1 @ X0 @ X1 @ X2) @ true @
% 13.14/2.53 (ifeq @ (m0 @ X0 @ X1 @ X2) @ true @ (p1 @ X1 @ X3 @ X0) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_082])).
% 13.14/2.53 thf(zip_derived_cl8933, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ true @ true @
% 13.14/2.53 (ifeq @ (m0 @ a @ X1 @ a) @ true @ (p1 @ X1 @ X0 @ a) @ true) @ true)
% 13.14/2.53 = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl8929, zip_derived_cl118])).
% 13.14/2.53 thf(zip_derived_cl12, plain, (![X0 : $i]: ((m0 @ a @ X0 @ a) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_12])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl8948, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]: ((p1 @ X1 @ X0 @ a) = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl8933, zip_derived_cl12, zip_derived_cl0,
% 13.14/2.53 zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl14216, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ (q2 @ a @ a @ X0) @ true @ (q2 @ X0 @ a @ X0) @ true)
% 13.14/2.53 = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl3704, zip_derived_cl8948, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl14221, plain,
% 13.14/2.53 (((ifeq @ true @ true @ (q2 @ d @ a @ d) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl4958, zip_derived_cl14216])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl14223, plain, (((true) = (q2 @ d @ a @ d))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl14221, zip_derived_cl0])).
% 13.14/2.53 thf(rule_273, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( s2 @ I ) @ true @
% 13.14/2.53 ( ifeq @
% 13.14/2.53 ( q2 @ A @ I @ A ) @ true @
% 13.14/2.53 ( ifeq @ ( m0 @ A @ B @ J ) @ true @ ( s3 @ I @ J ) @ true ) @ true ) @
% 13.14/2.53 true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl306, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 13.14/2.53 ((ifeq @ (s2 @ X0) @ true @
% 13.14/2.53 (ifeq @ (q2 @ X1 @ X0 @ X1) @ true @
% 13.14/2.53 (ifeq @ (m0 @ X1 @ X2 @ X3) @ true @ (s3 @ X0 @ X3) @ true) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_273])).
% 13.14/2.53 thf(zip_derived_cl14230, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (s2 @ a) @ true @
% 13.14/2.53 (ifeq @ true @ true @
% 13.14/2.53 (ifeq @ (m0 @ d @ X1 @ X0) @ true @ (s3 @ a @ X0) @ true) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl14223, zip_derived_cl306])).
% 13.14/2.53 thf(axiom_32, axiom, (( k0 @ b ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl32, plain, (((k0 @ b) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_32])).
% 13.14/2.53 thf(rule_177, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( p1 @ E @ E @ E ) @ true @
% 13.14/2.53 ( ifeq @ ( k0 @ F ) @ true @ ( q2 @ E @ F @ F ) @ true ) @ true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl212, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (p1 @ X0 @ X0 @ X0) @ true @
% 13.14/2.53 (ifeq @ (k0 @ X1) @ true @ (q2 @ X0 @ X1 @ X1) @ true) @ true)
% 13.14/2.53 = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_177])).
% 13.14/2.53 thf(zip_derived_cl1176, plain, (![X0 : $i]: ((true) = (p1 @ X0 @ X0 @ X0))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl1110, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl3571, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (k0 @ X1) @ true @ (q2 @ X0 @ X1 @ X1) @ true) = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl212, zip_derived_cl1176, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl3574, plain,
% 13.14/2.53 (![X0 : $i]: ((ifeq @ true @ true @ (q2 @ X0 @ b @ b) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl32, zip_derived_cl3571])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl3602, plain, (![X0 : $i]: ((true) = (q2 @ X0 @ b @ b))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl3574, zip_derived_cl0])).
% 13.14/2.53 thf(axiom_37, axiom, (( n0 @ b @ a ) = ( true ))).
% 13.14/2.53 thf(zip_derived_cl37, plain, (((n0 @ b @ a) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_37])).
% 13.14/2.53 thf(zip_derived_cl40, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (n0 @ X0 @ X1) @ true @ (l1 @ X1 @ X1) @ true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_002])).
% 13.14/2.53 thf(zip_derived_cl384, plain,
% 13.14/2.53 (((ifeq @ true @ true @ (l1 @ a @ a) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl37, zip_derived_cl40])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl494, plain, (((true) = (l1 @ a @ a))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl384, zip_derived_cl0])).
% 13.14/2.53 thf(rule_054, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( n1 @ E @ F @ E ) @ true @
% 13.14/2.53 ( ifeq @
% 13.14/2.53 ( l0 @ G ) @ true @
% 13.14/2.53 ( ifeq @ ( l1 @ G @ E ) @ true @ ( n1 @ E @ F @ F ) @ true ) @ true ) @
% 13.14/2.53 true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl91, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.14/2.53 ((ifeq @ (n1 @ X0 @ X1 @ X0) @ true @
% 13.14/2.53 (ifeq @ (l0 @ X2) @ true @
% 13.14/2.53 (ifeq @ (l1 @ X2 @ X0) @ true @ (n1 @ X0 @ X1 @ X1) @ true) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_054])).
% 13.14/2.53 thf(zip_derived_cl1449, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ (n1 @ a @ X0 @ a) @ true @
% 13.14/2.53 (ifeq @ (l0 @ a) @ true @
% 13.14/2.53 (ifeq @ true @ true @ (n1 @ a @ X0 @ X0) @ true) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl494, zip_derived_cl91])).
% 13.14/2.53 thf(zip_derived_cl20, plain, (((l0 @ a) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [axiom_20])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl1468, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ (n1 @ a @ X0 @ a) @ true @ (n1 @ a @ X0 @ X0) @ true)
% 13.14/2.53 = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl1449, zip_derived_cl20, zip_derived_cl0,
% 13.14/2.53 zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl1827, plain, (![X0 : $i]: ((true) = (n1 @ a @ X0 @ a))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl1331, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl8114, plain, (![X0 : $i]: ((n1 @ a @ X0 @ X0) = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl1468, zip_derived_cl1827, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl217, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]:
% 13.14/2.53 ((ifeq @ (q2 @ X0 @ X1 @ X2) @ true @
% 13.14/2.53 (ifeq @ (p1 @ X2 @ X2 @ X1) @ true @
% 13.14/2.53 (ifeq @ (n1 @ X0 @ X2 @ X1) @ true @ (q2 @ X2 @ X0 @ X2) @ true) @
% 13.14/2.53 true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_182])).
% 13.14/2.53 thf(zip_derived_cl8124, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ (q2 @ a @ X0 @ X0) @ true @
% 13.14/2.53 (ifeq @ (p1 @ X0 @ X0 @ X0) @ true @
% 13.14/2.53 (ifeq @ true @ true @ (q2 @ X0 @ a @ X0) @ true) @ true) @
% 13.14/2.53 true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl8114, zip_derived_cl217])).
% 13.14/2.53 thf(zip_derived_cl1176, plain, (![X0 : $i]: ((true) = (p1 @ X0 @ X0 @ X0))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl1110, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl8138, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ (q2 @ a @ X0 @ X0) @ true @ (q2 @ X0 @ a @ X0) @ true)
% 13.14/2.53 = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl8124, zip_derived_cl1176, zip_derived_cl0,
% 13.14/2.53 zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl10642, plain,
% 13.14/2.53 (((ifeq @ true @ true @ (q2 @ b @ a @ b) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl3602, zip_derived_cl8138])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl10645, plain, (((true) = (q2 @ b @ a @ b))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl10642, zip_derived_cl0])).
% 13.14/2.53 thf(rule_189, axiom,
% 13.14/2.53 (( ifeq @
% 13.14/2.53 ( q2 @ b @ H @ b ) @ true @
% 13.14/2.53 ( ifeq @ ( s1 @ b ) @ true @ ( s2 @ H ) @ true ) @ true ) =
% 13.14/2.53 ( true ))).
% 13.14/2.53 thf(zip_derived_cl224, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ (q2 @ b @ X0 @ b) @ true @
% 13.14/2.53 (ifeq @ (s1 @ b) @ true @ (s2 @ X0) @ true) @ true) = (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [rule_189])).
% 13.14/2.53 thf(zip_derived_cl2371, plain, (![X0 : $i]: ((true) = (s1 @ X0))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl2353, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl2753, plain,
% 13.14/2.53 (![X0 : $i]:
% 13.14/2.53 ((ifeq @ (q2 @ b @ X0 @ b) @ true @ (s2 @ X0) @ true) = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl224, zip_derived_cl2371, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl10656, plain,
% 13.14/2.53 (((ifeq @ true @ true @ (s2 @ a) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl10645, zip_derived_cl2753])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl10678, plain, (((true) = (s2 @ a))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl10656, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl14238, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]:
% 13.14/2.53 ((ifeq @ (m0 @ d @ X1 @ X0) @ true @ (s3 @ a @ X0) @ true) = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl14230, zip_derived_cl10678, zip_derived_cl0,
% 13.14/2.53 zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl14483, plain,
% 13.14/2.53 (![X0 : $i]: ((ifeq @ true @ true @ (s3 @ a @ X0) @ true) = (true))),
% 13.14/2.53 inference('s_sup+', [status(thm)],
% 13.14/2.53 [zip_derived_cl19, zip_derived_cl14238])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl14486, plain, (![X0 : $i]: ((true) = (s3 @ a @ X0))),
% 13.14/2.53 inference('s_sup+', [status(thm)], [zip_derived_cl14483, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl14488, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i]: ((m4 @ X1 @ X0) = (true))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl3390, zip_derived_cl14486, zip_derived_cl0])).
% 13.14/2.53 thf(zip_derived_cl0, plain,
% 13.14/2.53 (![X0 : $i, X1 : $i, X2 : $i]: ((ifeq @ X1 @ X1 @ X0 @ X2) = (X0))),
% 13.14/2.53 inference('cnf', [status(esa)], [ifeq_axiom])).
% 13.14/2.53 thf(zip_derived_cl14497, plain, (((true) = (m5 @ d @ d))),
% 13.14/2.53 inference('demod', [status(thm)],
% 13.14/2.53 [zip_derived_cl3549, zip_derived_cl14488, zip_derived_cl0])).
% 13.14/2.53 thf(prove_this, conjecture, (( m5 @ d @ d ) = ( true ))).
% 13.14/2.53 thf(zf_stmt_0, negated_conjecture, (( m5 @ d @ d ) != ( true )),
% 13.14/2.53 inference('cnf.neg', [status(esa)], [prove_this])).
% 13.14/2.53 thf(zip_derived_cl362, plain, (((m5 @ d @ d) != (true))),
% 13.14/2.53 inference('cnf', [status(esa)], [zf_stmt_0])).
% 13.14/2.53 thf(zip_derived_cl14498, plain, ($false),
% 13.14/2.53 inference('simplify_reflect-', [status(thm)],
% 13.14/2.53 [zip_derived_cl14497, zip_derived_cl362])).
% 13.14/2.53
% 13.14/2.53 % SZS output end Refutation
% 13.14/2.53
% 13.14/2.53
% 13.14/2.53 % Terminating...
% 13.48/2.58 % Runner terminated.
% 13.48/2.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------