%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU220+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8QG6xhVTMb true
% Computer : n024.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 04:53:52 PM UTC 2025
% Result : Theorem 6.46s 4.40s
% Output : Refutation 6.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.10 % Problem : SEU220+1 : TPTP v9.2.0. Released v3.3.0.
% 0.14/1.19 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.8QG6xhVTMb true
% 0.14/1.61 % Computer : n024.cluster.edu
% 0.14/1.61 % Model : x86_64 x86_64
% 0.14/1.61 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.61 % Memory : 8042.1875MB
% 0.14/1.61 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/1.61 % CPULimit : 300
% 0.14/1.61 % WCLimit : 300
% 0.14/1.61 % DateTime : Wed Oct 1 16:13:24 EDT 2025
% 0.14/1.63 % CPUTime :
% 0.14/1.63 % Running portfolio for 300 s
% 0.14/1.63 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/1.64 % Number of cores: 8
% 0.14/1.65 % Python version: Python 3.6.8
% 0.21/1.67 % Running in FO mode
% 0.56/2.38 % Total configuration time : 435
% 0.56/2.38 % Estimated wc time : 1092
% 0.56/2.38 % Estimated cpu time (7 cpus) : 156.0
% 0.57/2.67 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/2.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/2.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/2.84 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/2.84 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/2.84 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.53/2.86 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 6.46/4.40 % Solved by fo/fo4.sh.
% 6.46/4.40 % done 513 iterations in 1.429s
% 6.46/4.40 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.46/4.40 % SZS output start Refutation
% 6.46/4.40 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 6.46/4.40 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 6.46/4.40 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 6.46/4.40 thf(function_type, type, function: $i > $o).
% 6.46/4.40 thf(in_type, type, in: $i > $i > $o).
% 6.46/4.40 thf(relation_dom_type, type, relation_dom: $i > $i).
% 6.46/4.40 thf(function_inverse_type, type, function_inverse: $i > $i).
% 6.46/4.40 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 6.46/4.40 thf(sk__7_type, type, sk__7: $i).
% 6.46/4.40 thf(sk__8_type, type, sk__8: $i).
% 6.46/4.40 thf(relation_rng_type, type, relation_rng: $i > $i).
% 6.46/4.40 thf(relation_composition_type, type, relation_composition: $i > $i > $i).
% 6.46/4.40 thf(relation_type, type, relation: $i > $o).
% 6.46/4.40 thf(apply_type, type, apply: $i > $i > $i).
% 6.46/4.40 thf(one_to_one_type, type, one_to_one: $i > $o).
% 6.46/4.40 thf(dt_k2_funct_1, axiom,
% 6.46/4.40 (![A:$i]:
% 6.46/4.40 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 6.46/4.40 ( ( relation @ ( function_inverse @ A ) ) &
% 6.46/4.40 ( function @ ( function_inverse @ A ) ) ) ))).
% 6.46/4.40 thf(zip_derived_cl6, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 ( (relation @ (function_inverse @ X0))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0))),
% 6.46/4.40 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 6.46/4.40 thf(zip_derived_cl7, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 ( (function @ (function_inverse @ X0))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0))),
% 6.46/4.40 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 6.46/4.40 thf(t54_funct_1, axiom,
% 6.46/4.40 (![A:$i]:
% 6.46/4.40 ( ( ( function @ A ) & ( relation @ A ) ) =>
% 6.46/4.40 ( ( one_to_one @ A ) =>
% 6.46/4.40 ( ![B:$i]:
% 6.46/4.40 ( ( ( function @ B ) & ( relation @ B ) ) =>
% 6.46/4.40 ( ( ( B ) = ( function_inverse @ A ) ) <=>
% 6.46/4.40 ( ( ![C:$i,D:$i]:
% 6.46/4.40 ( ( ( ( ( D ) = ( apply @ B @ C ) ) &
% 6.46/4.40 ( in @ C @ ( relation_rng @ A ) ) ) =>
% 6.46/4.40 ( ( ( C ) = ( apply @ A @ D ) ) &
% 6.46/4.40 ( in @ D @ ( relation_dom @ A ) ) ) ) &
% 6.46/4.40 ( ( ( ( C ) = ( apply @ A @ D ) ) &
% 6.46/4.40 ( in @ D @ ( relation_dom @ A ) ) ) =>
% 6.46/4.40 ( ( ( D ) = ( apply @ B @ C ) ) &
% 6.46/4.40 ( in @ C @ ( relation_rng @ A ) ) ) ) ) ) &
% 6.46/4.40 ( ( relation_dom @ B ) = ( relation_rng @ A ) ) ) ) ) ) ) ))).
% 6.46/4.40 thf(zf_stmt_0, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 6.46/4.40 thf(zf_stmt_1, axiom,
% 6.46/4.40 (![D:$i,C:$i,B:$i,A:$i]:
% 6.46/4.40 ( ( zip_tseitin_3 @ D @ C @ B @ A ) <=>
% 6.46/4.40 ( ( zip_tseitin_2 @ D @ C @ A ) =>
% 6.46/4.40 ( ( in @ C @ ( relation_rng @ A ) ) & ( ( D ) = ( apply @ B @ C ) ) ) ) ))).
% 6.46/4.40 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $i > $i > $o).
% 6.46/4.40 thf(zf_stmt_3, axiom,
% 6.46/4.40 (![D:$i,C:$i,A:$i]:
% 6.46/4.40 ( ( zip_tseitin_2 @ D @ C @ A ) <=>
% 6.46/4.40 ( ( in @ D @ ( relation_dom @ A ) ) & ( ( C ) = ( apply @ A @ D ) ) ) ))).
% 6.46/4.40 thf(zf_stmt_4, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 6.46/4.40 thf(zf_stmt_5, axiom,
% 6.46/4.40 (![D:$i,C:$i,B:$i,A:$i]:
% 6.46/4.40 ( ( zip_tseitin_1 @ D @ C @ B @ A ) <=>
% 6.46/4.40 ( ( zip_tseitin_0 @ D @ C @ B @ A ) =>
% 6.46/4.40 ( ( in @ D @ ( relation_dom @ A ) ) & ( ( C ) = ( apply @ A @ D ) ) ) ) ))).
% 6.46/4.40 thf(zf_stmt_6, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 6.46/4.40 thf(zf_stmt_7, axiom,
% 6.46/4.40 (![D:$i,C:$i,B:$i,A:$i]:
% 6.46/4.40 ( ( zip_tseitin_0 @ D @ C @ B @ A ) <=>
% 6.46/4.40 ( ( in @ C @ ( relation_rng @ A ) ) & ( ( D ) = ( apply @ B @ C ) ) ) ))).
% 6.46/4.40 thf(zf_stmt_8, axiom,
% 6.46/4.40 (![A:$i]:
% 6.46/4.40 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 6.46/4.40 ( ( one_to_one @ A ) =>
% 6.46/4.40 ( ![B:$i]:
% 6.46/4.40 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 6.46/4.40 ( ( ( B ) = ( function_inverse @ A ) ) <=>
% 6.46/4.40 ( ( ( relation_dom @ B ) = ( relation_rng @ A ) ) &
% 6.46/4.40 ( ![C:$i,D:$i]:
% 6.46/4.40 ( ( zip_tseitin_3 @ D @ C @ B @ A ) &
% 6.46/4.40 ( zip_tseitin_1 @ D @ C @ B @ A ) ) ) ) ) ) ) ) ))).
% 6.46/4.40 thf(zip_derived_cl46, plain,
% 6.46/4.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.46/4.40 (~ (one_to_one @ X0)
% 6.46/4.40 | ~ (relation @ X1)
% 6.46/4.40 | ~ (function @ X1)
% 6.46/4.40 | ((X1) != (function_inverse @ X0))
% 6.46/4.40 | (zip_tseitin_1 @ X2 @ X3 @ X1 @ X0)
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0))),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_8])).
% 6.46/4.40 thf(zip_derived_cl33, plain,
% 6.46/4.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.46/4.40 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3)
% 6.46/4.40 | ((X0) != (apply @ X2 @ X1))
% 6.46/4.40 | ~ (in @ X1 @ (relation_rng @ X3)))),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_7])).
% 6.46/4.40 thf(t57_funct_1, conjecture,
% 6.46/4.40 (![A:$i,B:$i]:
% 6.46/4.40 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 6.46/4.40 ( ( ( one_to_one @ B ) & ( in @ A @ ( relation_rng @ B ) ) ) =>
% 6.46/4.40 ( ( ( A ) = ( apply @ B @ ( apply @ ( function_inverse @ B ) @ A ) ) ) &
% 6.46/4.40 ( ( A ) =
% 6.46/4.40 ( apply @
% 6.46/4.40 ( relation_composition @ ( function_inverse @ B ) @ B ) @ A ) ) ) ) ))).
% 6.46/4.40 thf(zf_stmt_9, negated_conjecture,
% 6.46/4.40 (~( ![A:$i,B:$i]:
% 6.46/4.40 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 6.46/4.40 ( ( ( one_to_one @ B ) & ( in @ A @ ( relation_rng @ B ) ) ) =>
% 6.46/4.40 ( ( ( A ) =
% 6.46/4.40 ( apply @ B @ ( apply @ ( function_inverse @ B ) @ A ) ) ) &
% 6.46/4.40 ( ( A ) =
% 6.46/4.40 ( apply @
% 6.46/4.40 ( relation_composition @ ( function_inverse @ B ) @ B ) @ A ) ) ) ) ) )),
% 6.46/4.40 inference('cnf.neg', [status(esa)], [t57_funct_1])).
% 6.46/4.40 thf(zip_derived_cl55, plain, ( (in @ sk__7 @ (relation_rng @ sk__8))),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl121, plain,
% 6.46/4.40 (![X0 : $i, X1 : $i]:
% 6.46/4.40 (((X0) != (apply @ X1 @ sk__7))
% 6.46/4.40 | (zip_tseitin_0 @ X0 @ sk__7 @ X1 @ sk__8))),
% 6.46/4.40 inference('sup+', [status(thm)], [zip_derived_cl33, zip_derived_cl55])).
% 6.46/4.40 thf(zip_derived_cl34, plain,
% 6.46/4.40 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.46/4.40 (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3)
% 6.46/4.40 | ((X1) = (apply @ X3 @ X0))
% 6.46/4.40 | ~ (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3))),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.46/4.40 thf(zip_derived_cl126, plain,
% 6.46/4.40 (![X0 : $i, X1 : $i]:
% 6.46/4.40 (((X1) != (apply @ X0 @ sk__7))
% 6.46/4.40 | ~ (zip_tseitin_1 @ X1 @ sk__7 @ X0 @ sk__8)
% 6.46/4.40 | ((sk__7) = (apply @ sk__8 @ X1)))),
% 6.46/4.40 inference('sup-', [status(thm)], [zip_derived_cl121, zip_derived_cl34])).
% 6.46/4.40 thf(zip_derived_cl185, plain,
% 6.46/4.40 (![X0 : $i, X1 : $i]:
% 6.46/4.40 (~ (relation @ sk__8)
% 6.46/4.40 | ~ (function @ sk__8)
% 6.46/4.40 | ((X0) != (function_inverse @ sk__8))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0)
% 6.46/4.40 | ~ (one_to_one @ sk__8)
% 6.46/4.40 | ((sk__7) = (apply @ sk__8 @ X1))
% 6.46/4.40 | ((X1) != (apply @ X0 @ sk__7)))),
% 6.46/4.40 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl126])).
% 6.46/4.40 thf(zip_derived_cl52, plain, ( (relation @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl53, plain, ( (function @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl56, plain, ( (one_to_one @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl187, plain,
% 6.46/4.40 (![X0 : $i, X1 : $i]:
% 6.46/4.40 (((X0) != (function_inverse @ sk__8))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0)
% 6.46/4.40 | ((sk__7) = (apply @ sk__8 @ X1))
% 6.46/4.40 | ((X1) != (apply @ X0 @ sk__7)))),
% 6.46/4.40 inference('demod', [status(thm)],
% 6.46/4.40 [zip_derived_cl185, zip_derived_cl52, zip_derived_cl53,
% 6.46/4.40 zip_derived_cl56])).
% 6.46/4.40 thf(zip_derived_cl190, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 (((sk__7) = (apply @ sk__8 @ (apply @ X0 @ sk__7)))
% 6.46/4.40 | ~ (relation @ X0)
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ((X0) != (function_inverse @ sk__8)))),
% 6.46/4.40 inference('eq_res', [status(thm)], [zip_derived_cl187])).
% 6.46/4.40 thf(t23_funct_1, axiom,
% 6.46/4.40 (![A:$i,B:$i]:
% 6.46/4.40 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 6.46/4.40 ( ![C:$i]:
% 6.46/4.40 ( ( ( relation @ C ) & ( function @ C ) ) =>
% 6.46/4.40 ( ( in @ A @ ( relation_dom @ B ) ) =>
% 6.46/4.40 ( ( apply @ ( relation_composition @ B @ C ) @ A ) =
% 6.46/4.40 ( apply @ C @ ( apply @ B @ A ) ) ) ) ) ) ))).
% 6.46/4.40 thf(zip_derived_cl30, plain,
% 6.46/4.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.46/4.40 (~ (relation @ X0)
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ((apply @ (relation_composition @ X1 @ X0) @ X2)
% 6.46/4.40 = (apply @ X0 @ (apply @ X1 @ X2)))
% 6.46/4.40 | ~ (in @ X2 @ (relation_dom @ X1))
% 6.46/4.40 | ~ (function @ X1)
% 6.46/4.40 | ~ (relation @ X1))),
% 6.46/4.40 inference('cnf', [status(esa)], [t23_funct_1])).
% 6.46/4.40 thf(zip_derived_cl192, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 (((apply @ (relation_composition @ X0 @ sk__8) @ sk__7) = (sk__7))
% 6.46/4.40 | ((X0) != (function_inverse @ sk__8))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0)
% 6.46/4.40 | ~ (relation @ X0)
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (in @ sk__7 @ (relation_dom @ X0))
% 6.46/4.40 | ~ (function @ sk__8)
% 6.46/4.40 | ~ (relation @ sk__8))),
% 6.46/4.40 inference('sup+', [status(thm)], [zip_derived_cl190, zip_derived_cl30])).
% 6.46/4.40 thf(zip_derived_cl53, plain, ( (function @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl52, plain, ( (relation @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl194, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 (((apply @ (relation_composition @ X0 @ sk__8) @ sk__7) = (sk__7))
% 6.46/4.40 | ((X0) != (function_inverse @ sk__8))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0)
% 6.46/4.40 | ~ (relation @ X0)
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (in @ sk__7 @ (relation_dom @ X0)))),
% 6.46/4.40 inference('demod', [status(thm)],
% 6.46/4.40 [zip_derived_cl192, zip_derived_cl53, zip_derived_cl52])).
% 6.46/4.40 thf(zip_derived_cl195, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 (~ (in @ sk__7 @ (relation_dom @ X0))
% 6.46/4.40 | ~ (relation @ X0)
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ((X0) != (function_inverse @ sk__8))
% 6.46/4.40 | ((apply @ (relation_composition @ X0 @ sk__8) @ sk__7) = (sk__7)))),
% 6.46/4.40 inference('simplify', [status(thm)], [zip_derived_cl194])).
% 6.46/4.40 thf(zip_derived_cl45, plain,
% 6.46/4.40 (![X0 : $i, X1 : $i]:
% 6.46/4.40 (~ (one_to_one @ X0)
% 6.46/4.40 | ~ (relation @ X1)
% 6.46/4.40 | ~ (function @ X1)
% 6.46/4.40 | ((X1) != (function_inverse @ X0))
% 6.46/4.40 | ((relation_dom @ X1) = (relation_rng @ X0))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0))),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_8])).
% 6.46/4.40 thf(zip_derived_cl55, plain, ( (in @ sk__7 @ (relation_rng @ sk__8))),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl218, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 ( (in @ sk__7 @ (relation_dom @ X0))
% 6.46/4.40 | ~ (relation @ sk__8)
% 6.46/4.40 | ~ (function @ sk__8)
% 6.46/4.40 | ((X0) != (function_inverse @ sk__8))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0)
% 6.46/4.40 | ~ (one_to_one @ sk__8))),
% 6.46/4.40 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl55])).
% 6.46/4.40 thf(zip_derived_cl52, plain, ( (relation @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl53, plain, ( (function @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl56, plain, ( (one_to_one @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl246, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 ( (in @ sk__7 @ (relation_dom @ X0))
% 6.46/4.40 | ((X0) != (function_inverse @ sk__8))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0))),
% 6.46/4.40 inference('demod', [status(thm)],
% 6.46/4.40 [zip_derived_cl218, zip_derived_cl52, zip_derived_cl53,
% 6.46/4.40 zip_derived_cl56])).
% 6.46/4.40 thf(zip_derived_cl1925, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 (((apply @ (relation_composition @ X0 @ sk__8) @ sk__7) = (sk__7))
% 6.46/4.40 | ((X0) != (function_inverse @ sk__8))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0))),
% 6.46/4.40 inference('clc', [status(thm)], [zip_derived_cl195, zip_derived_cl246])).
% 6.46/4.40 thf(t55_funct_1, axiom,
% 6.46/4.40 (![A:$i]:
% 6.46/4.40 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 6.46/4.40 ( ( one_to_one @ A ) =>
% 6.46/4.40 ( ( ( relation_rng @ A ) = ( relation_dom @ ( function_inverse @ A ) ) ) &
% 6.46/4.40 ( ( relation_dom @ A ) = ( relation_rng @ ( function_inverse @ A ) ) ) ) ) ))).
% 6.46/4.40 thf(zip_derived_cl50, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 (~ (one_to_one @ X0)
% 6.46/4.40 | ((relation_rng @ X0) = (relation_dom @ (function_inverse @ X0)))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0))),
% 6.46/4.40 inference('cnf', [status(esa)], [t55_funct_1])).
% 6.46/4.40 thf(zip_derived_cl6, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 ( (relation @ (function_inverse @ X0))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0))),
% 6.46/4.40 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 6.46/4.40 thf(zip_derived_cl7, plain,
% 6.46/4.40 (![X0 : $i]:
% 6.46/4.40 ( (function @ (function_inverse @ X0))
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ~ (relation @ X0))),
% 6.46/4.40 inference('cnf', [status(esa)], [dt_k2_funct_1])).
% 6.46/4.40 thf(zip_derived_cl30, plain,
% 6.46/4.40 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.46/4.40 (~ (relation @ X0)
% 6.46/4.40 | ~ (function @ X0)
% 6.46/4.40 | ((apply @ (relation_composition @ X1 @ X0) @ X2)
% 6.46/4.40 = (apply @ X0 @ (apply @ X1 @ X2)))
% 6.46/4.40 | ~ (in @ X2 @ (relation_dom @ X1))
% 6.46/4.40 | ~ (function @ X1)
% 6.46/4.40 | ~ (relation @ X1))),
% 6.46/4.40 inference('cnf', [status(esa)], [t23_funct_1])).
% 6.46/4.40 thf(zip_derived_cl54, plain,
% 6.46/4.40 ((((sk__7)
% 6.46/4.40 != (apply @ sk__8 @ (apply @ (function_inverse @ sk__8) @ sk__7)))
% 6.46/4.40 | ((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7)))),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl129, plain,
% 6.46/4.40 ((((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7))
% 6.46/4.40 | ~ (relation @ (function_inverse @ sk__8))
% 6.46/4.40 | ~ (function @ (function_inverse @ sk__8))
% 6.46/4.40 | ~ (in @ sk__7 @ (relation_dom @ (function_inverse @ sk__8)))
% 6.46/4.40 | ~ (function @ sk__8)
% 6.46/4.40 | ~ (relation @ sk__8)
% 6.46/4.40 | ((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7)))),
% 6.46/4.40 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl54])).
% 6.46/4.40 thf(zip_derived_cl53, plain, ( (function @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl52, plain, ( (relation @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl134, plain,
% 6.46/4.40 ((((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7))
% 6.46/4.40 | ~ (relation @ (function_inverse @ sk__8))
% 6.46/4.40 | ~ (function @ (function_inverse @ sk__8))
% 6.46/4.40 | ~ (in @ sk__7 @ (relation_dom @ (function_inverse @ sk__8)))
% 6.46/4.40 | ((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7)))),
% 6.46/4.40 inference('demod', [status(thm)],
% 6.46/4.40 [zip_derived_cl129, zip_derived_cl53, zip_derived_cl52])).
% 6.46/4.40 thf(zip_derived_cl135, plain,
% 6.46/4.40 ((~ (in @ sk__7 @ (relation_dom @ (function_inverse @ sk__8)))
% 6.46/4.40 | ~ (function @ (function_inverse @ sk__8))
% 6.46/4.40 | ~ (relation @ (function_inverse @ sk__8))
% 6.46/4.40 | ((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7)))),
% 6.46/4.40 inference('simplify', [status(thm)], [zip_derived_cl134])).
% 6.46/4.40 thf(zip_derived_cl136, plain,
% 6.46/4.40 ((~ (relation @ sk__8)
% 6.46/4.40 | ~ (function @ sk__8)
% 6.46/4.40 | ((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7))
% 6.46/4.40 | ~ (relation @ (function_inverse @ sk__8))
% 6.46/4.40 | ~ (in @ sk__7 @ (relation_dom @ (function_inverse @ sk__8))))),
% 6.46/4.40 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl135])).
% 6.46/4.40 thf(zip_derived_cl52, plain, ( (relation @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl53, plain, ( (function @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl137, plain,
% 6.46/4.40 ((((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7))
% 6.46/4.40 | ~ (relation @ (function_inverse @ sk__8))
% 6.46/4.40 | ~ (in @ sk__7 @ (relation_dom @ (function_inverse @ sk__8))))),
% 6.46/4.40 inference('demod', [status(thm)],
% 6.46/4.40 [zip_derived_cl136, zip_derived_cl52, zip_derived_cl53])).
% 6.46/4.40 thf(zip_derived_cl138, plain,
% 6.46/4.40 ((~ (relation @ sk__8)
% 6.46/4.40 | ~ (function @ sk__8)
% 6.46/4.40 | ~ (in @ sk__7 @ (relation_dom @ (function_inverse @ sk__8)))
% 6.46/4.40 | ((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7)))),
% 6.46/4.40 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl137])).
% 6.46/4.40 thf(zip_derived_cl52, plain, ( (relation @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl53, plain, ( (function @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl139, plain,
% 6.46/4.40 ((~ (in @ sk__7 @ (relation_dom @ (function_inverse @ sk__8)))
% 6.46/4.40 | ((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7)))),
% 6.46/4.40 inference('demod', [status(thm)],
% 6.46/4.40 [zip_derived_cl138, zip_derived_cl52, zip_derived_cl53])).
% 6.46/4.40 thf(zip_derived_cl140, plain,
% 6.46/4.40 ((~ (in @ sk__7 @ (relation_rng @ sk__8))
% 6.46/4.40 | ~ (relation @ sk__8)
% 6.46/4.40 | ~ (function @ sk__8)
% 6.46/4.40 | ~ (one_to_one @ sk__8)
% 6.46/4.40 | ((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7)))),
% 6.46/4.40 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl139])).
% 6.46/4.40 thf(zip_derived_cl55, plain, ( (in @ sk__7 @ (relation_rng @ sk__8))),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl52, plain, ( (relation @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl53, plain, ( (function @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl56, plain, ( (one_to_one @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl141, plain,
% 6.46/4.40 (((sk__7)
% 6.46/4.40 != (apply @
% 6.46/4.40 (relation_composition @ (function_inverse @ sk__8) @ sk__8) @
% 6.46/4.40 sk__7))),
% 6.46/4.40 inference('demod', [status(thm)],
% 6.46/4.40 [zip_derived_cl140, zip_derived_cl55, zip_derived_cl52,
% 6.46/4.40 zip_derived_cl53, zip_derived_cl56])).
% 6.46/4.40 thf(zip_derived_cl1935, plain,
% 6.46/4.40 ((((sk__7) != (sk__7))
% 6.46/4.40 | ~ (relation @ (function_inverse @ sk__8))
% 6.46/4.40 | ~ (function @ (function_inverse @ sk__8))
% 6.46/4.40 | ((function_inverse @ sk__8) != (function_inverse @ sk__8)))),
% 6.46/4.40 inference('sup-', [status(thm)], [zip_derived_cl1925, zip_derived_cl141])).
% 6.46/4.40 thf(zip_derived_cl1936, plain,
% 6.46/4.40 ((~ (function @ (function_inverse @ sk__8))
% 6.46/4.40 | ~ (relation @ (function_inverse @ sk__8)))),
% 6.46/4.40 inference('simplify', [status(thm)], [zip_derived_cl1935])).
% 6.46/4.40 thf(zip_derived_cl1937, plain,
% 6.46/4.40 ((~ (relation @ sk__8)
% 6.46/4.40 | ~ (function @ sk__8)
% 6.46/4.40 | ~ (relation @ (function_inverse @ sk__8)))),
% 6.46/4.40 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl1936])).
% 6.46/4.40 thf(zip_derived_cl52, plain, ( (relation @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl53, plain, ( (function @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl1938, plain, (~ (relation @ (function_inverse @ sk__8))),
% 6.46/4.40 inference('demod', [status(thm)],
% 6.46/4.40 [zip_derived_cl1937, zip_derived_cl52, zip_derived_cl53])).
% 6.46/4.40 thf(zip_derived_cl1939, plain,
% 6.46/4.40 ((~ (relation @ sk__8) | ~ (function @ sk__8))),
% 6.46/4.40 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl1938])).
% 6.46/4.40 thf(zip_derived_cl52, plain, ( (relation @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl53, plain, ( (function @ sk__8)),
% 6.46/4.40 inference('cnf', [status(esa)], [zf_stmt_9])).
% 6.46/4.40 thf(zip_derived_cl1940, plain, ($false),
% 6.46/4.40 inference('demod', [status(thm)],
% 6.46/4.40 [zip_derived_cl1939, zip_derived_cl52, zip_derived_cl53])).
% 6.46/4.40
% 6.46/4.40 % SZS output end Refutation
% 6.46/4.40
% 6.46/4.40
% 6.46/4.41 % Terminating...
% 6.76/4.64 % Runner terminated.
% 6.80/4.66 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------