%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU027+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.f4GQ9dlbgT true
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:53:20 PM UTC 2025
% Result : Theorem 14.28s 2.65s
% Output : Refutation 14.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU027+1 : TPTP v9.2.0. Released v3.2.0.
% 0.06/0.12 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.f4GQ9dlbgT true
% 0.11/0.32 % Computer : n015.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 16:13:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33 % Number of cores: 8
% 0.11/0.33 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.43/0.61 % Total configuration time : 435
% 0.43/0.61 % Estimated wc time : 1092
% 0.43/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 14.28/2.65 % Solved by fo/fo6_bce.sh.
% 14.28/2.65 % BCE start: 88
% 14.28/2.65 % BCE eliminated: 2
% 14.28/2.65 % PE start: 86
% 14.28/2.65 logic: eq
% 14.28/2.65 % PE eliminated: 10
% 14.28/2.65 % done 758 iterations in 1.891s
% 14.28/2.65 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.28/2.65 % SZS output start Refutation
% 14.28/2.65 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 14.28/2.65 thf(function_inverse_type, type, function_inverse: $i > $i).
% 14.28/2.65 thf(relation_rng_type, type, relation_rng: $i > $i).
% 14.28/2.65 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 14.28/2.65 thf(sk__16_type, type, sk__16: $i).
% 14.28/2.65 thf(function_type, type, function: $i > $o).
% 14.28/2.65 thf(in_type, type, in: $i > $i > $o).
% 14.28/2.65 thf(sk__17_type, type, sk__17: $i).
% 14.28/2.65 thf(sk__14_type, type, sk__14: $i > $i > $i).
% 14.28/2.65 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 14.28/2.65 thf(apply_type, type, apply: $i > $i > $i).
% 14.28/2.65 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 14.28/2.65 thf(relation_type, type, relation: $i > $o).
% 14.28/2.65 thf(one_to_one_type, type, one_to_one: $i > $o).
% 14.28/2.65 thf(relation_dom_type, type, relation_dom: $i > $i).
% 14.28/2.65 thf(sk__15_type, type, sk__15: $i > $i > $i).
% 14.28/2.65 thf(t60_funct_1, conjecture,
% 14.28/2.65 (![A:$i]:
% 14.28/2.65 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 14.28/2.65 ( ![B:$i]:
% 14.28/2.65 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 14.28/2.65 ( ( ( one_to_one @ A ) &
% 14.28/2.65 ( ( relation_dom @ A ) = ( relation_rng @ B ) ) &
% 14.28/2.65 ( ( relation_rng @ A ) = ( relation_dom @ B ) ) &
% 14.28/2.65 ( ![C:$i,D:$i]:
% 14.28/2.65 ( ( ( in @ C @ ( relation_dom @ A ) ) &
% 14.28/2.65 ( in @ D @ ( relation_dom @ B ) ) ) =>
% 14.28/2.65 ( ( ( apply @ A @ C ) = ( D ) ) <=>
% 14.28/2.65 ( ( apply @ B @ D ) = ( C ) ) ) ) ) ) =>
% 14.28/2.65 ( ( B ) = ( function_inverse @ A ) ) ) ) ) ))).
% 14.28/2.65 thf(zf_stmt_0, negated_conjecture,
% 14.28/2.65 (~( ![A:$i]:
% 14.28/2.65 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 14.28/2.65 ( ![B:$i]:
% 14.28/2.65 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 14.28/2.65 ( ( ( one_to_one @ A ) &
% 14.28/2.65 ( ( relation_dom @ A ) = ( relation_rng @ B ) ) &
% 14.28/2.65 ( ( relation_rng @ A ) = ( relation_dom @ B ) ) &
% 14.28/2.65 ( ![C:$i,D:$i]:
% 14.28/2.65 ( ( ( in @ C @ ( relation_dom @ A ) ) &
% 14.28/2.65 ( in @ D @ ( relation_dom @ B ) ) ) =>
% 14.28/2.65 ( ( ( apply @ A @ C ) = ( D ) ) <=>
% 14.28/2.65 ( ( apply @ B @ D ) = ( C ) ) ) ) ) ) =>
% 14.28/2.65 ( ( B ) = ( function_inverse @ A ) ) ) ) ) ) )),
% 14.28/2.65 inference('cnf.neg', [status(esa)], [t60_funct_1])).
% 14.28/2.65 thf(zip_derived_cl77, plain,
% 14.28/2.65 (((relation_rng @ sk__16) = (relation_dom @ sk__17))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(t54_funct_1, axiom,
% 14.28/2.65 (![A:$i]:
% 14.28/2.65 ( ( ( function @ A ) & ( relation @ A ) ) =>
% 14.28/2.65 ( ( one_to_one @ A ) =>
% 14.28/2.65 ( ![B:$i]:
% 14.28/2.65 ( ( ( function @ B ) & ( relation @ B ) ) =>
% 14.28/2.65 ( ( ( B ) = ( function_inverse @ A ) ) <=>
% 14.28/2.65 ( ( ![C:$i,D:$i]:
% 14.28/2.65 ( ( ( ( ( D ) = ( apply @ B @ C ) ) &
% 14.28/2.65 ( in @ C @ ( relation_rng @ A ) ) ) =>
% 14.28/2.65 ( ( ( C ) = ( apply @ A @ D ) ) &
% 14.28/2.65 ( in @ D @ ( relation_dom @ A ) ) ) ) &
% 14.28/2.65 ( ( ( ( C ) = ( apply @ A @ D ) ) &
% 14.28/2.65 ( in @ D @ ( relation_dom @ A ) ) ) =>
% 14.28/2.65 ( ( ( D ) = ( apply @ B @ C ) ) &
% 14.28/2.65 ( in @ C @ ( relation_rng @ A ) ) ) ) ) ) &
% 14.28/2.65 ( ( relation_dom @ B ) = ( relation_rng @ A ) ) ) ) ) ) ) ))).
% 14.28/2.65 thf(zf_stmt_1, axiom,
% 14.28/2.65 (![D:$i,C:$i,B:$i,A:$i]:
% 14.28/2.65 ( ( zip_tseitin_3 @ D @ C @ B @ A ) <=>
% 14.28/2.65 ( ( zip_tseitin_2 @ D @ C @ A ) =>
% 14.28/2.65 ( ( in @ C @ ( relation_rng @ A ) ) & ( ( D ) = ( apply @ B @ C ) ) ) ) ))).
% 14.28/2.65 thf(zip_derived_cl66, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3)
% 14.28/2.65 | ~ (in @ X1 @ (relation_rng @ X3))
% 14.28/2.65 | ((X0) != (apply @ X2 @ X1)))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.28/2.65 thf(zf_stmt_2, axiom,
% 14.28/2.65 (![D:$i,C:$i,B:$i,A:$i]:
% 14.28/2.65 ( ( zip_tseitin_1 @ D @ C @ B @ A ) <=>
% 14.28/2.65 ( ( zip_tseitin_0 @ D @ C @ B @ A ) =>
% 14.28/2.65 ( ( in @ D @ ( relation_dom @ A ) ) & ( ( C ) = ( apply @ A @ D ) ) ) ) ))).
% 14.28/2.65 thf(zip_derived_cl59, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 14.28/2.65 | ~ (in @ X0 @ (relation_dom @ X3))
% 14.28/2.65 | ((X1) != (apply @ X3 @ X0)))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.28/2.65 thf(zf_stmt_3, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 14.28/2.65 thf(zf_stmt_4, type, zip_tseitin_2 : $i > $i > $i > $o).
% 14.28/2.65 thf(zf_stmt_5, axiom,
% 14.28/2.65 (![D:$i,C:$i,A:$i]:
% 14.28/2.65 ( ( zip_tseitin_2 @ D @ C @ A ) <=>
% 14.28/2.65 ( ( in @ D @ ( relation_dom @ A ) ) & ( ( C ) = ( apply @ A @ D ) ) ) ))).
% 14.28/2.65 thf(zf_stmt_6, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 14.28/2.65 thf(zf_stmt_7, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 14.28/2.65 thf(zf_stmt_8, axiom,
% 14.28/2.65 (![D:$i,C:$i,B:$i,A:$i]:
% 14.28/2.65 ( ( zip_tseitin_0 @ D @ C @ B @ A ) <=>
% 14.28/2.65 ( ( in @ C @ ( relation_rng @ A ) ) & ( ( D ) = ( apply @ B @ C ) ) ) ))).
% 14.28/2.65 thf(zf_stmt_9, axiom,
% 14.28/2.65 (![A:$i]:
% 14.28/2.65 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 14.28/2.65 ( ( one_to_one @ A ) =>
% 14.28/2.65 ( ![B:$i]:
% 14.28/2.65 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 14.28/2.65 ( ( ( B ) = ( function_inverse @ A ) ) <=>
% 14.28/2.65 ( ( ( relation_dom @ B ) = ( relation_rng @ A ) ) &
% 14.28/2.65 ( ![C:$i,D:$i]:
% 14.28/2.65 ( ( zip_tseitin_3 @ D @ C @ B @ A ) &
% 14.28/2.65 ( zip_tseitin_1 @ D @ C @ B @ A ) ) ) ) ) ) ) ) ))).
% 14.28/2.65 thf(zip_derived_cl71, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (~ (one_to_one @ X0)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ~ (zip_tseitin_3 @ (sk__15 @ X1 @ X0) @ (sk__14 @ X1 @ X0) @ X1 @
% 14.28/2.65 X0)
% 14.28/2.65 | ~ (zip_tseitin_1 @ (sk__15 @ X1 @ X0) @ (sk__14 @ X1 @ X0) @ X1 @
% 14.28/2.65 X0)
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ~ (relation @ X0))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_9])).
% 14.28/2.65 thf(zip_derived_cl487, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((sk__14 @ X1 @ X0) != (apply @ X0 @ (sk__15 @ X1 @ X0)))
% 14.28/2.65 | ~ (in @ (sk__15 @ X1 @ X0) @ (relation_dom @ X0))
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (zip_tseitin_3 @ (sk__15 @ X1 @ X0) @ (sk__14 @ X1 @ X0) @ X1 @
% 14.28/2.65 X0)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (one_to_one @ X0))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl59, zip_derived_cl71])).
% 14.28/2.65 thf(zip_derived_cl501, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((sk__15 @ X1 @ X0) != (apply @ X1 @ (sk__14 @ X1 @ X0)))
% 14.28/2.65 | ~ (in @ (sk__14 @ X1 @ X0) @ (relation_rng @ X0))
% 14.28/2.65 | ~ (one_to_one @ X0)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (in @ (sk__15 @ X1 @ X0) @ (relation_dom @ X0))
% 14.28/2.65 | ((sk__14 @ X1 @ X0) != (apply @ X0 @ (sk__15 @ X1 @ X0))))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl66, zip_derived_cl487])).
% 14.28/2.65 thf(zip_derived_cl1098, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 (((sk__15 @ X0 @ sk__16) != (apply @ X0 @ (sk__14 @ X0 @ sk__16)))
% 14.28/2.65 | ~ (in @ (sk__14 @ X0 @ sk__16) @ (relation_dom @ sk__17))
% 14.28/2.65 | ~ (one_to_one @ sk__16)
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((relation_dom @ X0) != (relation_dom @ sk__17))
% 14.28/2.65 | ((X0) = (function_inverse @ sk__16))
% 14.28/2.65 | ~ (function @ sk__16)
% 14.28/2.65 | ~ (relation @ sk__16)
% 14.28/2.65 | ~ (in @ (sk__15 @ X0 @ sk__16) @ (relation_dom @ sk__16))
% 14.28/2.65 | ((sk__14 @ X0 @ sk__16)
% 14.28/2.65 != (apply @ sk__16 @ (sk__15 @ X0 @ sk__16))))),
% 14.28/2.65 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl501])).
% 14.28/2.65 thf(zip_derived_cl75, plain, ( (one_to_one @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl74, plain, ( (function @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl73, plain, ( (relation @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl1100, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 (((sk__15 @ X0 @ sk__16) != (apply @ X0 @ (sk__14 @ X0 @ sk__16)))
% 14.28/2.65 | ~ (in @ (sk__14 @ X0 @ sk__16) @ (relation_dom @ sk__17))
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((relation_dom @ X0) != (relation_dom @ sk__17))
% 14.28/2.65 | ((X0) = (function_inverse @ sk__16))
% 14.28/2.65 | ~ (in @ (sk__15 @ X0 @ sk__16) @ (relation_dom @ sk__16))
% 14.28/2.65 | ((sk__14 @ X0 @ sk__16)
% 14.28/2.65 != (apply @ sk__16 @ (sk__15 @ X0 @ sk__16))))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl1098, zip_derived_cl75, zip_derived_cl74,
% 14.28/2.65 zip_derived_cl73])).
% 14.28/2.65 thf(zip_derived_cl2581, plain,
% 14.28/2.65 ((((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 != (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16)))
% 14.28/2.65 | ~ (in @ (sk__15 @ sk__17 @ sk__16) @ (relation_dom @ sk__16))
% 14.28/2.65 | ((sk__17) = (function_inverse @ sk__16))
% 14.28/2.65 | ~ (function @ sk__17)
% 14.28/2.65 | ~ (relation @ sk__17)
% 14.28/2.65 | ~ (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17))
% 14.28/2.65 | ((sk__15 @ sk__17 @ sk__16)
% 14.28/2.65 != (apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16))))),
% 14.28/2.65 inference('eq_res', [status(thm)], [zip_derived_cl1100])).
% 14.28/2.65 thf(zip_derived_cl81, plain, ( (function @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl82, plain, ( (relation @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl2582, plain,
% 14.28/2.65 ((((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 != (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16)))
% 14.28/2.65 | ~ (in @ (sk__15 @ sk__17 @ sk__16) @ (relation_dom @ sk__16))
% 14.28/2.65 | ((sk__17) = (function_inverse @ sk__16))
% 14.28/2.65 | ~ (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17))
% 14.28/2.65 | ((sk__15 @ sk__17 @ sk__16)
% 14.28/2.65 != (apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16))))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl2581, zip_derived_cl81, zip_derived_cl82])).
% 14.28/2.65 thf(zip_derived_cl80, plain, (((sk__17) != (function_inverse @ sk__16))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl2583, plain,
% 14.28/2.65 ((((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 != (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16)))
% 14.28/2.65 | ~ (in @ (sk__15 @ sk__17 @ sk__16) @ (relation_dom @ sk__16))
% 14.28/2.65 | ~ (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17))
% 14.28/2.65 | ((sk__15 @ sk__17 @ sk__16)
% 14.28/2.65 != (apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16))))),
% 14.28/2.65 inference('simplify_reflect-', [status(thm)],
% 14.28/2.65 [zip_derived_cl2582, zip_derived_cl80])).
% 14.28/2.65 thf(zip_derived_cl77, plain,
% 14.28/2.65 (((relation_rng @ sk__16) = (relation_dom @ sk__17))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl67, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3)
% 14.28/2.65 | (zip_tseitin_2 @ X0 @ X1 @ X3))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.28/2.65 thf(zip_derived_cl62, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.28/2.65 (((X2) = (apply @ X0 @ X1)) | ~ (zip_tseitin_2 @ X1 @ X2 @ X0))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_5])).
% 14.28/2.65 thf(zip_derived_cl480, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_3 @ X3 @ X2 @ X1 @ X0) | ((X2) = (apply @ X0 @ X3)))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl67, zip_derived_cl62])).
% 14.28/2.65 thf(zip_derived_cl60, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 14.28/2.65 | (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.28/2.65 thf(zip_derived_cl54, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (in @ X0 @ (relation_rng @ X1))
% 14.28/2.65 | ~ (zip_tseitin_0 @ X2 @ X0 @ X3 @ X1))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_8])).
% 14.28/2.65 thf(zip_derived_cl483, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0)
% 14.28/2.65 | (in @ X2 @ (relation_rng @ X0)))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl60, zip_derived_cl54])).
% 14.28/2.65 thf(zip_derived_cl71, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (~ (one_to_one @ X0)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ~ (zip_tseitin_3 @ (sk__15 @ X1 @ X0) @ (sk__14 @ X1 @ X0) @ X1 @
% 14.28/2.65 X0)
% 14.28/2.65 | ~ (zip_tseitin_1 @ (sk__15 @ X1 @ X0) @ (sk__14 @ X1 @ X0) @ X1 @
% 14.28/2.65 X0)
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ~ (relation @ X0))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_9])).
% 14.28/2.65 thf(zip_derived_cl493, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 ( (in @ (sk__14 @ X1 @ X0) @ (relation_rng @ X0))
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (zip_tseitin_3 @ (sk__15 @ X1 @ X0) @ (sk__14 @ X1 @ X0) @ X1 @
% 14.28/2.65 X0)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (one_to_one @ X0))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl483, zip_derived_cl71])).
% 14.28/2.65 thf(zip_derived_cl517, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((sk__14 @ X1 @ X0) = (apply @ X0 @ (sk__15 @ X1 @ X0)))
% 14.28/2.65 | ~ (one_to_one @ X0)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | (in @ (sk__14 @ X1 @ X0) @ (relation_rng @ X0)))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl480, zip_derived_cl493])).
% 14.28/2.65 thf(zip_derived_cl1210, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 (((sk__14 @ X0 @ sk__16) = (apply @ sk__16 @ (sk__15 @ X0 @ sk__16)))
% 14.28/2.65 | ~ (one_to_one @ sk__16)
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((relation_dom @ X0) != (relation_dom @ sk__17))
% 14.28/2.65 | ((X0) = (function_inverse @ sk__16))
% 14.28/2.65 | ~ (function @ sk__16)
% 14.28/2.65 | ~ (relation @ sk__16)
% 14.28/2.65 | (in @ (sk__14 @ X0 @ sk__16) @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('s_sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl517])).
% 14.28/2.65 thf(zip_derived_cl75, plain, ( (one_to_one @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl74, plain, ( (function @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl73, plain, ( (relation @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl1216, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 (((sk__14 @ X0 @ sk__16) = (apply @ sk__16 @ (sk__15 @ X0 @ sk__16)))
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((relation_dom @ X0) != (relation_dom @ sk__17))
% 14.28/2.65 | ((X0) = (function_inverse @ sk__16))
% 14.28/2.65 | (in @ (sk__14 @ X0 @ sk__16) @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl1210, zip_derived_cl75, zip_derived_cl74,
% 14.28/2.65 zip_derived_cl73])).
% 14.28/2.65 thf(zip_derived_cl77, plain,
% 14.28/2.65 (((relation_rng @ sk__16) = (relation_dom @ sk__17))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl480, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_3 @ X3 @ X2 @ X1 @ X0) | ((X2) = (apply @ X0 @ X3)))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl67, zip_derived_cl62])).
% 14.28/2.65 thf(zip_derived_cl60, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 14.28/2.65 | (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.28/2.65 thf(zip_derived_cl55, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 (((X2) = (apply @ X0 @ X1)) | ~ (zip_tseitin_0 @ X2 @ X1 @ X0 @ X3))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_8])).
% 14.28/2.65 thf(zip_derived_cl484, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0) | ((X3) = (apply @ X1 @ X2)))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl60, zip_derived_cl55])).
% 14.28/2.65 thf(zip_derived_cl71, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (~ (one_to_one @ X0)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ~ (zip_tseitin_3 @ (sk__15 @ X1 @ X0) @ (sk__14 @ X1 @ X0) @ X1 @
% 14.28/2.65 X0)
% 14.28/2.65 | ~ (zip_tseitin_1 @ (sk__15 @ X1 @ X0) @ (sk__14 @ X1 @ X0) @ X1 @
% 14.28/2.65 X0)
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ~ (relation @ X0))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_9])).
% 14.28/2.65 thf(zip_derived_cl496, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((sk__15 @ X1 @ X0) = (apply @ X1 @ (sk__14 @ X1 @ X0)))
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (zip_tseitin_3 @ (sk__15 @ X1 @ X0) @ (sk__14 @ X1 @ X0) @ X1 @
% 14.28/2.65 X0)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (one_to_one @ X0))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl484, zip_derived_cl71])).
% 14.28/2.65 thf(zip_derived_cl518, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((sk__14 @ X1 @ X0) = (apply @ X0 @ (sk__15 @ X1 @ X0)))
% 14.28/2.65 | ~ (one_to_one @ X0)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ((sk__15 @ X1 @ X0) = (apply @ X1 @ (sk__14 @ X1 @ X0))))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl480, zip_derived_cl496])).
% 14.28/2.65 thf(zip_derived_cl1232, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 (((sk__14 @ X0 @ sk__16) = (apply @ sk__16 @ (sk__15 @ X0 @ sk__16)))
% 14.28/2.65 | ~ (one_to_one @ sk__16)
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((relation_dom @ X0) != (relation_dom @ sk__17))
% 14.28/2.65 | ((X0) = (function_inverse @ sk__16))
% 14.28/2.65 | ~ (function @ sk__16)
% 14.28/2.65 | ~ (relation @ sk__16)
% 14.28/2.65 | ((sk__15 @ X0 @ sk__16) = (apply @ X0 @ (sk__14 @ X0 @ sk__16))))),
% 14.28/2.65 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl518])).
% 14.28/2.65 thf(zip_derived_cl75, plain, ( (one_to_one @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl74, plain, ( (function @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl73, plain, ( (relation @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl1234, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 (((sk__14 @ X0 @ sk__16) = (apply @ sk__16 @ (sk__15 @ X0 @ sk__16)))
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((relation_dom @ X0) != (relation_dom @ sk__17))
% 14.28/2.65 | ((X0) = (function_inverse @ sk__16))
% 14.28/2.65 | ((sk__15 @ X0 @ sk__16) = (apply @ X0 @ (sk__14 @ X0 @ sk__16))))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl1232, zip_derived_cl75, zip_derived_cl74,
% 14.28/2.65 zip_derived_cl73])).
% 14.28/2.65 thf(zip_derived_cl2868, plain,
% 14.28/2.65 ((((sk__15 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16)))
% 14.28/2.65 | ((sk__17) = (function_inverse @ sk__16))
% 14.28/2.65 | ~ (function @ sk__17)
% 14.28/2.65 | ~ (relation @ sk__17)
% 14.28/2.65 | ((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16))))),
% 14.28/2.65 inference('eq_res', [status(thm)], [zip_derived_cl1234])).
% 14.28/2.65 thf(zip_derived_cl81, plain, ( (function @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl82, plain, ( (relation @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl2869, plain,
% 14.28/2.65 ((((sk__15 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16)))
% 14.28/2.65 | ((sk__17) = (function_inverse @ sk__16))
% 14.28/2.65 | ((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16))))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl2868, zip_derived_cl81, zip_derived_cl82])).
% 14.28/2.65 thf(zip_derived_cl80, plain, (((sk__17) != (function_inverse @ sk__16))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl2870, plain,
% 14.28/2.65 ((((sk__15 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16)))
% 14.28/2.65 | ((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16))))),
% 14.28/2.65 inference('simplify_reflect-', [status(thm)],
% 14.28/2.65 [zip_derived_cl2869, zip_derived_cl80])).
% 14.28/2.65 thf(zip_derived_cl79, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (~ (in @ X0 @ (relation_dom @ sk__16))
% 14.28/2.65 | ~ (in @ X1 @ (relation_dom @ sk__17))
% 14.28/2.65 | ((apply @ sk__16 @ X0) = (X1))
% 14.28/2.65 | ((apply @ sk__17 @ X1) != (X0)))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl76, plain,
% 14.28/2.65 (((relation_dom @ sk__16) = (relation_rng @ sk__17))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(d5_funct_1, axiom,
% 14.28/2.65 (![A:$i]:
% 14.28/2.65 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 14.28/2.65 ( ![B:$i]:
% 14.28/2.65 ( ( ( B ) = ( relation_rng @ A ) ) <=>
% 14.28/2.65 ( ![C:$i]:
% 14.28/2.65 ( ( in @ C @ B ) <=>
% 14.28/2.65 ( ?[D:$i]:
% 14.28/2.65 ( ( ( C ) = ( apply @ A @ D ) ) &
% 14.28/2.65 ( in @ D @ ( relation_dom @ A ) ) ) ) ) ) ) ) ))).
% 14.28/2.65 thf(zip_derived_cl11, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 (((X1) != (relation_rng @ X0))
% 14.28/2.65 | (in @ X2 @ X1)
% 14.28/2.65 | ~ (in @ X3 @ (relation_dom @ X0))
% 14.28/2.65 | ((X2) != (apply @ X0 @ X3))
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ~ (relation @ X0))),
% 14.28/2.65 inference('cnf', [status(esa)], [d5_funct_1])).
% 14.28/2.65 thf(zip_derived_cl594, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.28/2.65 (((X0) != (relation_dom @ sk__16))
% 14.28/2.65 | (in @ X1 @ X0)
% 14.28/2.65 | ~ (in @ X2 @ (relation_dom @ sk__17))
% 14.28/2.65 | ((X1) != (apply @ sk__17 @ X2))
% 14.28/2.65 | ~ (function @ sk__17)
% 14.28/2.65 | ~ (relation @ sk__17))),
% 14.28/2.65 inference('s_sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl11])).
% 14.28/2.65 thf(zip_derived_cl81, plain, ( (function @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl82, plain, ( (relation @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl597, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.28/2.65 (((X0) != (relation_dom @ sk__16))
% 14.28/2.65 | (in @ X1 @ X0)
% 14.28/2.65 | ~ (in @ X2 @ (relation_dom @ sk__17))
% 14.28/2.65 | ((X1) != (apply @ sk__17 @ X2)))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl594, zip_derived_cl81, zip_derived_cl82])).
% 14.28/2.65 thf(zip_derived_cl668, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((X0) != (apply @ sk__17 @ X1))
% 14.28/2.65 | ~ (in @ X1 @ (relation_dom @ sk__17))
% 14.28/2.65 | (in @ X0 @ (relation_dom @ sk__16)))),
% 14.28/2.65 inference('eq_res', [status(thm)], [zip_derived_cl597])).
% 14.28/2.65 thf(zip_derived_cl710, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((apply @ sk__17 @ X1) != (X0))
% 14.28/2.65 | ((apply @ sk__16 @ X0) = (X1))
% 14.28/2.65 | ~ (in @ X1 @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('clc', [status(thm)], [zip_derived_cl79, zip_derived_cl668])).
% 14.28/2.65 thf(zip_derived_cl712, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 (~ (in @ X0 @ (relation_dom @ sk__17))
% 14.28/2.65 | ((apply @ sk__16 @ (apply @ sk__17 @ X0)) = (X0)))),
% 14.28/2.65 inference('eq_res', [status(thm)], [zip_derived_cl710])).
% 14.28/2.65 thf(zip_derived_cl3206, plain,
% 14.28/2.65 ((((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16)))
% 14.28/2.65 | ~ (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17))
% 14.28/2.65 | ((apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16))
% 14.28/2.65 = (sk__14 @ sk__17 @ sk__16)))),
% 14.28/2.65 inference('s_sup+', [status(thm)],
% 14.28/2.65 [zip_derived_cl2870, zip_derived_cl712])).
% 14.28/2.65 thf(zip_derived_cl3214, plain,
% 14.28/2.65 ((~ (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17))
% 14.28/2.65 | ((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16))))),
% 14.28/2.65 inference('simplify', [status(thm)], [zip_derived_cl3206])).
% 14.28/2.65 thf(zip_derived_cl3437, plain,
% 14.28/2.65 ((((sk__17) = (function_inverse @ sk__16))
% 14.28/2.65 | ((relation_dom @ sk__17) != (relation_dom @ sk__17))
% 14.28/2.65 | ~ (function @ sk__17)
% 14.28/2.65 | ~ (relation @ sk__17)
% 14.28/2.65 | ((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16)))
% 14.28/2.65 | ((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16))))),
% 14.28/2.65 inference('s_sup-', [status(thm)],
% 14.28/2.65 [zip_derived_cl1216, zip_derived_cl3214])).
% 14.28/2.65 thf(zip_derived_cl81, plain, ( (function @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl82, plain, ( (relation @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl3448, plain,
% 14.28/2.65 ((((sk__17) = (function_inverse @ sk__16))
% 14.28/2.65 | ((relation_dom @ sk__17) != (relation_dom @ sk__17))
% 14.28/2.65 | ((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16)))
% 14.28/2.65 | ((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16))))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl3437, zip_derived_cl81, zip_derived_cl82])).
% 14.28/2.65 thf(zip_derived_cl3449, plain,
% 14.28/2.65 ((((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16)))
% 14.28/2.65 | ((sk__17) = (function_inverse @ sk__16)))),
% 14.28/2.65 inference('simplify', [status(thm)], [zip_derived_cl3448])).
% 14.28/2.65 thf(zip_derived_cl80, plain, (((sk__17) != (function_inverse @ sk__16))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl3450, plain,
% 14.28/2.65 (((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16)))),
% 14.28/2.65 inference('simplify_reflect-', [status(thm)],
% 14.28/2.65 [zip_derived_cl3449, zip_derived_cl80])).
% 14.28/2.65 thf(zip_derived_cl3450, plain,
% 14.28/2.65 (((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16)))),
% 14.28/2.65 inference('simplify_reflect-', [status(thm)],
% 14.28/2.65 [zip_derived_cl3449, zip_derived_cl80])).
% 14.28/2.65 thf(zip_derived_cl78, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (~ (in @ X0 @ (relation_dom @ sk__16))
% 14.28/2.65 | ~ (in @ X1 @ (relation_dom @ sk__17))
% 14.28/2.65 | ((apply @ sk__17 @ X1) = (X0))
% 14.28/2.65 | ((apply @ sk__16 @ X0) != (X1)))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl77, plain,
% 14.28/2.65 (((relation_rng @ sk__16) = (relation_dom @ sk__17))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl11, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 (((X1) != (relation_rng @ X0))
% 14.28/2.65 | (in @ X2 @ X1)
% 14.28/2.65 | ~ (in @ X3 @ (relation_dom @ X0))
% 14.28/2.65 | ((X2) != (apply @ X0 @ X3))
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ~ (relation @ X0))),
% 14.28/2.65 inference('cnf', [status(esa)], [d5_funct_1])).
% 14.28/2.65 thf(zip_derived_cl593, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.28/2.65 (((X0) != (relation_dom @ sk__17))
% 14.28/2.65 | (in @ X1 @ X0)
% 14.28/2.65 | ~ (in @ X2 @ (relation_dom @ sk__16))
% 14.28/2.65 | ((X1) != (apply @ sk__16 @ X2))
% 14.28/2.65 | ~ (function @ sk__16)
% 14.28/2.65 | ~ (relation @ sk__16))),
% 14.28/2.65 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl11])).
% 14.28/2.65 thf(zip_derived_cl74, plain, ( (function @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl73, plain, ( (relation @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl596, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.28/2.65 (((X0) != (relation_dom @ sk__17))
% 14.28/2.65 | (in @ X1 @ X0)
% 14.28/2.65 | ~ (in @ X2 @ (relation_dom @ sk__16))
% 14.28/2.65 | ((X1) != (apply @ sk__16 @ X2)))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl593, zip_derived_cl74, zip_derived_cl73])).
% 14.28/2.65 thf(zip_derived_cl638, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((X0) != (apply @ sk__16 @ X1))
% 14.28/2.65 | ~ (in @ X1 @ (relation_dom @ sk__16))
% 14.28/2.65 | (in @ X0 @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('eq_res', [status(thm)], [zip_derived_cl596])).
% 14.28/2.65 thf(zip_derived_cl700, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((apply @ sk__16 @ X0) != (X1))
% 14.28/2.65 | ((apply @ sk__17 @ X1) = (X0))
% 14.28/2.65 | ~ (in @ X0 @ (relation_dom @ sk__16)))),
% 14.28/2.65 inference('clc', [status(thm)], [zip_derived_cl78, zip_derived_cl638])).
% 14.28/2.65 thf(zip_derived_cl702, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 (~ (in @ X0 @ (relation_dom @ sk__16))
% 14.28/2.65 | ((apply @ sk__17 @ (apply @ sk__16 @ X0)) = (X0)))),
% 14.28/2.65 inference('eq_res', [status(thm)], [zip_derived_cl700])).
% 14.28/2.65 thf(zip_derived_cl3478, plain,
% 14.28/2.65 ((~ (in @ (sk__15 @ sk__17 @ sk__16) @ (relation_dom @ sk__16))
% 14.28/2.65 | ((apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16))
% 14.28/2.65 = (sk__15 @ sk__17 @ sk__16)))),
% 14.28/2.65 inference('s_sup+', [status(thm)],
% 14.28/2.65 [zip_derived_cl3450, zip_derived_cl702])).
% 14.28/2.65 thf(zip_derived_cl77, plain,
% 14.28/2.65 (((relation_rng @ sk__16) = (relation_dom @ sk__17))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl67, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3)
% 14.28/2.65 | (zip_tseitin_2 @ X0 @ X1 @ X3))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_1])).
% 14.28/2.65 thf(zip_derived_cl61, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.28/2.65 ( (in @ X0 @ (relation_dom @ X1)) | ~ (zip_tseitin_2 @ X0 @ X2 @ X1))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_5])).
% 14.28/2.65 thf(zip_derived_cl479, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_3 @ X3 @ X2 @ X1 @ X0)
% 14.28/2.65 | (in @ X3 @ (relation_dom @ X0)))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl67, zip_derived_cl61])).
% 14.28/2.65 thf(zip_derived_cl496, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((sk__15 @ X1 @ X0) = (apply @ X1 @ (sk__14 @ X1 @ X0)))
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (zip_tseitin_3 @ (sk__15 @ X1 @ X0) @ (sk__14 @ X1 @ X0) @ X1 @
% 14.28/2.65 X0)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (one_to_one @ X0))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl484, zip_derived_cl71])).
% 14.28/2.65 thf(zip_derived_cl513, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 ( (in @ (sk__15 @ X1 @ X0) @ (relation_dom @ X0))
% 14.28/2.65 | ~ (one_to_one @ X0)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ((sk__15 @ X1 @ X0) = (apply @ X1 @ (sk__14 @ X1 @ X0))))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl479, zip_derived_cl496])).
% 14.28/2.65 thf(zip_derived_cl1193, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 ( (in @ (sk__15 @ X0 @ sk__16) @ (relation_dom @ sk__16))
% 14.28/2.65 | ~ (one_to_one @ sk__16)
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((relation_dom @ X0) != (relation_dom @ sk__17))
% 14.28/2.65 | ((X0) = (function_inverse @ sk__16))
% 14.28/2.65 | ~ (function @ sk__16)
% 14.28/2.65 | ~ (relation @ sk__16)
% 14.28/2.65 | ((sk__15 @ X0 @ sk__16) = (apply @ X0 @ (sk__14 @ X0 @ sk__16))))),
% 14.28/2.65 inference('s_sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl513])).
% 14.28/2.65 thf(zip_derived_cl75, plain, ( (one_to_one @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl74, plain, ( (function @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl73, plain, ( (relation @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl1195, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 ( (in @ (sk__15 @ X0 @ sk__16) @ (relation_dom @ sk__16))
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((relation_dom @ X0) != (relation_dom @ sk__17))
% 14.28/2.65 | ((X0) = (function_inverse @ sk__16))
% 14.28/2.65 | ((sk__15 @ X0 @ sk__16) = (apply @ X0 @ (sk__14 @ X0 @ sk__16))))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl1193, zip_derived_cl75, zip_derived_cl74,
% 14.28/2.65 zip_derived_cl73])).
% 14.28/2.65 thf(zip_derived_cl2728, plain,
% 14.28/2.65 ((((sk__15 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16)))
% 14.28/2.65 | ((sk__17) = (function_inverse @ sk__16))
% 14.28/2.65 | ~ (function @ sk__17)
% 14.28/2.65 | ~ (relation @ sk__17)
% 14.28/2.65 | (in @ (sk__15 @ sk__17 @ sk__16) @ (relation_dom @ sk__16)))),
% 14.28/2.65 inference('eq_res', [status(thm)], [zip_derived_cl1195])).
% 14.28/2.65 thf(zip_derived_cl81, plain, ( (function @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl82, plain, ( (relation @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl2729, plain,
% 14.28/2.65 ((((sk__15 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16)))
% 14.28/2.65 | ((sk__17) = (function_inverse @ sk__16))
% 14.28/2.65 | (in @ (sk__15 @ sk__17 @ sk__16) @ (relation_dom @ sk__16)))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl2728, zip_derived_cl81, zip_derived_cl82])).
% 14.28/2.65 thf(zip_derived_cl80, plain, (((sk__17) != (function_inverse @ sk__16))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl2730, plain,
% 14.28/2.65 ((((sk__15 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16)))
% 14.28/2.65 | (in @ (sk__15 @ sk__17 @ sk__16) @ (relation_dom @ sk__16)))),
% 14.28/2.65 inference('simplify_reflect-', [status(thm)],
% 14.28/2.65 [zip_derived_cl2729, zip_derived_cl80])).
% 14.28/2.65 thf(zip_derived_cl4020, plain,
% 14.28/2.65 (((apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16))
% 14.28/2.65 = (sk__15 @ sk__17 @ sk__16))),
% 14.28/2.65 inference('clc', [status(thm)], [zip_derived_cl3478, zip_derived_cl2730])).
% 14.28/2.65 thf(zip_derived_cl668, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((X0) != (apply @ sk__17 @ X1))
% 14.28/2.65 | ~ (in @ X1 @ (relation_dom @ sk__17))
% 14.28/2.65 | (in @ X0 @ (relation_dom @ sk__16)))),
% 14.28/2.65 inference('eq_res', [status(thm)], [zip_derived_cl597])).
% 14.28/2.65 thf(zip_derived_cl681, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 ( (in @ (apply @ sk__17 @ X0) @ (relation_dom @ sk__16))
% 14.28/2.65 | ~ (in @ X0 @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('eq_res', [status(thm)], [zip_derived_cl668])).
% 14.28/2.65 thf(zip_derived_cl4027, plain,
% 14.28/2.65 (( (in @ (sk__15 @ sk__17 @ sk__16) @ (relation_dom @ sk__16))
% 14.28/2.65 | ~ (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('s_sup+', [status(thm)],
% 14.28/2.65 [zip_derived_cl4020, zip_derived_cl681])).
% 14.28/2.65 thf(zip_derived_cl77, plain,
% 14.28/2.65 (((relation_rng @ sk__16) = (relation_dom @ sk__17))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl479, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.28/2.65 ( (zip_tseitin_3 @ X3 @ X2 @ X1 @ X0)
% 14.28/2.65 | (in @ X3 @ (relation_dom @ X0)))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl67, zip_derived_cl61])).
% 14.28/2.65 thf(zip_derived_cl493, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 ( (in @ (sk__14 @ X1 @ X0) @ (relation_rng @ X0))
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (zip_tseitin_3 @ (sk__15 @ X1 @ X0) @ (sk__14 @ X1 @ X0) @ X1 @
% 14.28/2.65 X0)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (one_to_one @ X0))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl483, zip_derived_cl71])).
% 14.28/2.65 thf(zip_derived_cl512, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 ( (in @ (sk__15 @ X1 @ X0) @ (relation_dom @ X0))
% 14.28/2.65 | ~ (one_to_one @ X0)
% 14.28/2.65 | ~ (relation @ X1)
% 14.28/2.65 | ~ (function @ X1)
% 14.28/2.65 | ((relation_dom @ X1) != (relation_rng @ X0))
% 14.28/2.65 | ((X1) = (function_inverse @ X0))
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | (in @ (sk__14 @ X1 @ X0) @ (relation_rng @ X0)))),
% 14.28/2.65 inference('dp-resolution', [status(thm)],
% 14.28/2.65 [zip_derived_cl479, zip_derived_cl493])).
% 14.28/2.65 thf(zip_derived_cl1171, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 ( (in @ (sk__15 @ X0 @ sk__16) @ (relation_dom @ sk__16))
% 14.28/2.65 | ~ (one_to_one @ sk__16)
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((relation_dom @ X0) != (relation_dom @ sk__17))
% 14.28/2.65 | ((X0) = (function_inverse @ sk__16))
% 14.28/2.65 | ~ (function @ sk__16)
% 14.28/2.65 | ~ (relation @ sk__16)
% 14.28/2.65 | (in @ (sk__14 @ X0 @ sk__16) @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('s_sup+', [status(thm)], [zip_derived_cl77, zip_derived_cl512])).
% 14.28/2.65 thf(zip_derived_cl75, plain, ( (one_to_one @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl74, plain, ( (function @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl73, plain, ( (relation @ sk__16)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl1177, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 ( (in @ (sk__15 @ X0 @ sk__16) @ (relation_dom @ sk__16))
% 14.28/2.65 | ~ (relation @ X0)
% 14.28/2.65 | ~ (function @ X0)
% 14.28/2.65 | ((relation_dom @ X0) != (relation_dom @ sk__17))
% 14.28/2.65 | ((X0) = (function_inverse @ sk__16))
% 14.28/2.65 | (in @ (sk__14 @ X0 @ sk__16) @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl1171, zip_derived_cl75, zip_derived_cl74,
% 14.28/2.65 zip_derived_cl73])).
% 14.28/2.65 thf(zip_derived_cl3450, plain,
% 14.28/2.65 (((sk__14 @ sk__17 @ sk__16)
% 14.28/2.65 = (apply @ sk__16 @ (sk__15 @ sk__17 @ sk__16)))),
% 14.28/2.65 inference('simplify_reflect-', [status(thm)],
% 14.28/2.65 [zip_derived_cl3449, zip_derived_cl80])).
% 14.28/2.65 thf(zip_derived_cl638, plain,
% 14.28/2.65 (![X0 : $i, X1 : $i]:
% 14.28/2.65 (((X0) != (apply @ sk__16 @ X1))
% 14.28/2.65 | ~ (in @ X1 @ (relation_dom @ sk__16))
% 14.28/2.65 | (in @ X0 @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('eq_res', [status(thm)], [zip_derived_cl596])).
% 14.28/2.65 thf(zip_derived_cl652, plain,
% 14.28/2.65 (![X0 : $i]:
% 14.28/2.65 ( (in @ (apply @ sk__16 @ X0) @ (relation_dom @ sk__17))
% 14.28/2.65 | ~ (in @ X0 @ (relation_dom @ sk__16)))),
% 14.28/2.65 inference('eq_res', [status(thm)], [zip_derived_cl638])).
% 14.28/2.65 thf(zip_derived_cl3476, plain,
% 14.28/2.65 (( (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17))
% 14.28/2.65 | ~ (in @ (sk__15 @ sk__17 @ sk__16) @ (relation_dom @ sk__16)))),
% 14.28/2.65 inference('s_sup+', [status(thm)],
% 14.28/2.65 [zip_derived_cl3450, zip_derived_cl652])).
% 14.28/2.65 thf(zip_derived_cl3742, plain,
% 14.28/2.65 (( (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17))
% 14.28/2.65 | ((sk__17) = (function_inverse @ sk__16))
% 14.28/2.65 | ((relation_dom @ sk__17) != (relation_dom @ sk__17))
% 14.28/2.65 | ~ (function @ sk__17)
% 14.28/2.65 | ~ (relation @ sk__17)
% 14.28/2.65 | (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('s_sup-', [status(thm)],
% 14.28/2.65 [zip_derived_cl1177, zip_derived_cl3476])).
% 14.28/2.65 thf(zip_derived_cl81, plain, ( (function @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl82, plain, ( (relation @ sk__17)),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl3754, plain,
% 14.28/2.65 (( (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17))
% 14.28/2.65 | ((sk__17) = (function_inverse @ sk__16))
% 14.28/2.65 | ((relation_dom @ sk__17) != (relation_dom @ sk__17))
% 14.28/2.65 | (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl3742, zip_derived_cl81, zip_derived_cl82])).
% 14.28/2.65 thf(zip_derived_cl3755, plain,
% 14.28/2.65 ((((sk__17) = (function_inverse @ sk__16))
% 14.28/2.65 | (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17)))),
% 14.28/2.65 inference('simplify', [status(thm)], [zip_derived_cl3754])).
% 14.28/2.65 thf(zip_derived_cl80, plain, (((sk__17) != (function_inverse @ sk__16))),
% 14.28/2.65 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.28/2.65 thf(zip_derived_cl3756, plain,
% 14.28/2.65 ( (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17))),
% 14.28/2.65 inference('simplify_reflect-', [status(thm)],
% 14.28/2.65 [zip_derived_cl3755, zip_derived_cl80])).
% 14.28/2.65 thf(zip_derived_cl4041, plain,
% 14.28/2.65 ( (in @ (sk__15 @ sk__17 @ sk__16) @ (relation_dom @ sk__16))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl4027, zip_derived_cl3756])).
% 14.28/2.65 thf(zip_derived_cl3756, plain,
% 14.28/2.65 ( (in @ (sk__14 @ sk__17 @ sk__16) @ (relation_dom @ sk__17))),
% 14.28/2.65 inference('simplify_reflect-', [status(thm)],
% 14.28/2.65 [zip_derived_cl3755, zip_derived_cl80])).
% 14.28/2.65 thf(zip_derived_cl4020, plain,
% 14.28/2.65 (((apply @ sk__17 @ (sk__14 @ sk__17 @ sk__16))
% 14.28/2.65 = (sk__15 @ sk__17 @ sk__16))),
% 14.28/2.65 inference('clc', [status(thm)], [zip_derived_cl3478, zip_derived_cl2730])).
% 14.28/2.65 thf(zip_derived_cl4795, plain,
% 14.28/2.65 ((((sk__14 @ sk__17 @ sk__16) != (sk__14 @ sk__17 @ sk__16))
% 14.28/2.65 | ((sk__15 @ sk__17 @ sk__16) != (sk__15 @ sk__17 @ sk__16)))),
% 14.28/2.65 inference('demod', [status(thm)],
% 14.28/2.65 [zip_derived_cl2583, zip_derived_cl3450, zip_derived_cl4041,
% 14.28/2.65 zip_derived_cl3756, zip_derived_cl4020])).
% 14.28/2.65 thf(zip_derived_cl4796, plain, ($false),
% 14.28/2.65 inference('simplify', [status(thm)], [zip_derived_cl4795])).
% 14.28/2.65
% 14.28/2.65 % SZS output end Refutation
% 14.28/2.65
% 14.28/2.65
% 14.28/2.65 % Terminating...
% 14.69/2.75 % Runner terminated.
% 14.69/2.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------