%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU048+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.HZoI8Cs7Ky true
% Computer : n019.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 04:53:22 PM UTC 2025
% Result : Theorem 6.77s 1.57s
% Output : Refutation 6.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SEU048+1 : TPTP v9.2.0. Released v3.2.0.
% 0.04/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HZoI8Cs7Ky true
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 16:07:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.48/0.63 % Total configuration time : 435
% 0.48/0.63 % Estimated wc time : 1092
% 0.48/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.59/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.59/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.59/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.59/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.77/1.57 % Solved by fo/fo3_bce.sh.
% 6.77/1.57 % BCE start: 70
% 6.77/1.57 % BCE eliminated: 2
% 6.77/1.57 % PE start: 68
% 6.77/1.57 logic: eq
% 6.77/1.57 % PE eliminated: -2
% 6.77/1.57 % done 485 iterations in 0.785s
% 6.77/1.57 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.77/1.57 % SZS output start Refutation
% 6.77/1.57 thf(sk__15_type, type, sk__15: $i).
% 6.77/1.57 thf(sk__type, type, sk_: $i > $i).
% 6.77/1.57 thf(sk__1_type, type, sk__1: $i > $i).
% 6.77/1.57 thf(function_type, type, function: $i > $o).
% 6.77/1.57 thf(relation_rng_restriction_type, type, relation_rng_restriction: $i > $i > $i).
% 6.77/1.57 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 6.77/1.57 thf(in_type, type, in: $i > $i > $o).
% 6.77/1.57 thf(sk__16_type, type, sk__16: $i).
% 6.77/1.57 thf(apply_type, type, apply: $i > $i > $i).
% 6.77/1.57 thf(relation_dom_type, type, relation_dom: $i > $i).
% 6.77/1.57 thf(relation_type, type, relation: $i > $o).
% 6.77/1.57 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 6.77/1.57 thf(one_to_one_type, type, one_to_one: $i > $o).
% 6.77/1.57 thf(fc5_funct_1, axiom,
% 6.77/1.57 (![A:$i,B:$i]:
% 6.77/1.57 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 6.77/1.57 ( ( relation @ ( relation_rng_restriction @ A @ B ) ) &
% 6.77/1.57 ( function @ ( relation_rng_restriction @ A @ B ) ) ) ))).
% 6.77/1.57 thf(zip_derived_cl21, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i]:
% 6.77/1.57 ( (function @ (relation_rng_restriction @ X0 @ X1))
% 6.77/1.57 | ~ (function @ X1)
% 6.77/1.57 | ~ (relation @ X1))),
% 6.77/1.57 inference('cnf', [status(esa)], [fc5_funct_1])).
% 6.77/1.57 thf(dt_k8_relat_1, axiom,
% 6.77/1.57 (![A:$i,B:$i]:
% 6.77/1.57 ( ( relation @ B ) => ( relation @ ( relation_rng_restriction @ A @ B ) ) ))).
% 6.77/1.57 thf(zip_derived_cl11, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i]:
% 6.77/1.57 ( (relation @ (relation_rng_restriction @ X0 @ X1))
% 6.77/1.57 | ~ (relation @ X1))),
% 6.77/1.57 inference('cnf', [status(esa)], [dt_k8_relat_1])).
% 6.77/1.57 thf(t85_funct_1, axiom,
% 6.77/1.57 (![A:$i,B:$i]:
% 6.77/1.57 ( ( ( function @ B ) & ( relation @ B ) ) =>
% 6.77/1.57 ( ![C:$i]:
% 6.77/1.57 ( ( ( function @ C ) & ( relation @ C ) ) =>
% 6.77/1.57 ( ( ( B ) = ( relation_rng_restriction @ A @ C ) ) <=>
% 6.77/1.57 ( ( ![D:$i]:
% 6.77/1.57 ( ( in @ D @ ( relation_dom @ B ) ) =>
% 6.77/1.57 ( ( apply @ B @ D ) = ( apply @ C @ D ) ) ) ) &
% 6.77/1.57 ( ![D:$i]:
% 6.77/1.57 ( ( in @ D @ ( relation_dom @ B ) ) <=>
% 6.77/1.57 ( ( in @ ( apply @ C @ D ) @ A ) &
% 6.77/1.57 ( in @ D @ ( relation_dom @ C ) ) ) ) ) ) ) ) ) ))).
% 6.77/1.57 thf(zf_stmt_0, type, zip_tseitin_1 : $i > $i > $i > $o).
% 6.77/1.57 thf(zf_stmt_1, axiom,
% 6.77/1.57 (![D:$i,C:$i,A:$i]:
% 6.77/1.57 ( ( zip_tseitin_1 @ D @ C @ A ) <=>
% 6.77/1.57 ( ( in @ D @ ( relation_dom @ C ) ) & ( in @ ( apply @ C @ D ) @ A ) ) ))).
% 6.77/1.57 thf(zf_stmt_2, type, zip_tseitin_0 : $i > $i > $i > $o).
% 6.77/1.57 thf(zf_stmt_3, axiom,
% 6.77/1.57 (![D:$i,C:$i,B:$i]:
% 6.77/1.57 ( ( zip_tseitin_0 @ D @ C @ B ) <=>
% 6.77/1.57 ( ( in @ D @ ( relation_dom @ B ) ) =>
% 6.77/1.57 ( ( apply @ B @ D ) = ( apply @ C @ D ) ) ) ))).
% 6.77/1.57 thf(zf_stmt_4, axiom,
% 6.77/1.57 (![A:$i,B:$i]:
% 6.77/1.57 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 6.77/1.57 ( ![C:$i]:
% 6.77/1.57 ( ( ( relation @ C ) & ( function @ C ) ) =>
% 6.77/1.57 ( ( ( B ) = ( relation_rng_restriction @ A @ C ) ) <=>
% 6.77/1.57 ( ( ![D:$i]:
% 6.77/1.57 ( ( in @ D @ ( relation_dom @ B ) ) <=>
% 6.77/1.57 ( zip_tseitin_1 @ D @ C @ A ) ) ) &
% 6.77/1.57 ( ![D:$i]: ( zip_tseitin_0 @ D @ C @ B ) ) ) ) ) ) ))).
% 6.77/1.57 thf(zip_derived_cl62, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.77/1.57 (~ (relation @ X0)
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ((X2) != (relation_rng_restriction @ X1 @ X0))
% 6.77/1.57 | (zip_tseitin_0 @ X3 @ X0 @ X2)
% 6.77/1.57 | ~ (function @ X2)
% 6.77/1.57 | ~ (relation @ X2))),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.77/1.57 thf(zip_derived_cl54, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.77/1.57 (~ (in @ X0 @ (relation_dom @ X1))
% 6.77/1.57 | ((apply @ X1 @ X0) = (apply @ X2 @ X0))
% 6.77/1.57 | ~ (zip_tseitin_0 @ X0 @ X2 @ X1))),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.77/1.57 thf(zip_derived_cl385, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.77/1.57 (~ (relation @ X1)
% 6.77/1.57 | ~ (function @ X1)
% 6.77/1.57 | ((X1) != (relation_rng_restriction @ X2 @ X0))
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (relation @ X0)
% 6.77/1.57 | ((apply @ X1 @ X3) = (apply @ X0 @ X3))
% 6.77/1.57 | ~ (in @ X3 @ (relation_dom @ X1)))),
% 6.77/1.57 inference('dp-resolution', [status(thm)],
% 6.77/1.57 [zip_derived_cl62, zip_derived_cl54])).
% 6.77/1.57 thf(zip_derived_cl495, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.77/1.57 (~ (in @ X2 @ (relation_dom @ (relation_rng_restriction @ X1 @ X0)))
% 6.77/1.57 | ((apply @ (relation_rng_restriction @ X1 @ X0) @ X2)
% 6.77/1.57 = (apply @ X0 @ X2))
% 6.77/1.57 | ~ (relation @ X0)
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ X1 @ X0))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ X1 @ X0)))),
% 6.77/1.57 inference('eq_res', [status(thm)], [zip_derived_cl385])).
% 6.77/1.57 thf(zip_derived_cl21, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i]:
% 6.77/1.57 ( (function @ (relation_rng_restriction @ X0 @ X1))
% 6.77/1.57 | ~ (function @ X1)
% 6.77/1.57 | ~ (relation @ X1))),
% 6.77/1.57 inference('cnf', [status(esa)], [fc5_funct_1])).
% 6.77/1.57 thf(zip_derived_cl1006, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.77/1.57 (~ (relation @ (relation_rng_restriction @ X1 @ X0))
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (relation @ X0)
% 6.77/1.57 | ((apply @ (relation_rng_restriction @ X1 @ X0) @ X2)
% 6.77/1.57 = (apply @ X0 @ X2))
% 6.77/1.57 | ~ (in @ X2 @ (relation_dom @ (relation_rng_restriction @ X1 @ X0))))),
% 6.77/1.57 inference('clc', [status(thm)], [zip_derived_cl495, zip_derived_cl21])).
% 6.77/1.57 thf(zip_derived_cl11, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i]:
% 6.77/1.57 ( (relation @ (relation_rng_restriction @ X0 @ X1))
% 6.77/1.57 | ~ (relation @ X1))),
% 6.77/1.57 inference('cnf', [status(esa)], [dt_k8_relat_1])).
% 6.77/1.57 thf(zip_derived_cl1007, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.77/1.57 (~ (in @ X2 @ (relation_dom @ (relation_rng_restriction @ X1 @ X0)))
% 6.77/1.57 | ((apply @ (relation_rng_restriction @ X1 @ X0) @ X2)
% 6.77/1.57 = (apply @ X0 @ X2))
% 6.77/1.57 | ~ (relation @ X0)
% 6.77/1.57 | ~ (function @ X0))),
% 6.77/1.57 inference('clc', [status(thm)], [zip_derived_cl1006, zip_derived_cl11])).
% 6.77/1.57 thf(d8_funct_1, axiom,
% 6.77/1.57 (![A:$i]:
% 6.77/1.57 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 6.77/1.57 ( ( one_to_one @ A ) <=>
% 6.77/1.57 ( ![B:$i,C:$i]:
% 6.77/1.57 ( ( ( in @ B @ ( relation_dom @ A ) ) &
% 6.77/1.57 ( in @ C @ ( relation_dom @ A ) ) &
% 6.77/1.57 ( ( apply @ A @ B ) = ( apply @ A @ C ) ) ) =>
% 6.77/1.57 ( ( B ) = ( C ) ) ) ) ) ))).
% 6.77/1.57 thf(zip_derived_cl7, plain,
% 6.77/1.57 (![X0 : $i]:
% 6.77/1.57 (((apply @ X0 @ (sk_ @ X0)) = (apply @ X0 @ (sk__1 @ X0)))
% 6.77/1.57 | (one_to_one @ X0)
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (relation @ X0))),
% 6.77/1.57 inference('cnf', [status(esa)], [d8_funct_1])).
% 6.77/1.57 thf(t99_funct_1, conjecture,
% 6.77/1.57 (![A:$i,B:$i]:
% 6.77/1.57 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 6.77/1.57 ( ( one_to_one @ B ) =>
% 6.77/1.57 ( one_to_one @ ( relation_rng_restriction @ A @ B ) ) ) ))).
% 6.77/1.57 thf(zf_stmt_5, negated_conjecture,
% 6.77/1.57 (~( ![A:$i,B:$i]:
% 6.77/1.57 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 6.77/1.57 ( ( one_to_one @ B ) =>
% 6.77/1.57 ( one_to_one @ ( relation_rng_restriction @ A @ B ) ) ) ) )),
% 6.77/1.57 inference('cnf.neg', [status(esa)], [t99_funct_1])).
% 6.77/1.57 thf(zip_derived_cl68, plain,
% 6.77/1.57 (~ (one_to_one @ (relation_rng_restriction @ sk__15 @ sk__16))),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl404, plain,
% 6.77/1.57 ((~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ((apply @ (relation_rng_restriction @ sk__15 @ sk__16) @
% 6.77/1.57 (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 = (apply @ (relation_rng_restriction @ sk__15 @ sk__16) @
% 6.77/1.57 (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)))))),
% 6.77/1.57 inference('dp-resolution', [status(thm)],
% 6.77/1.57 [zip_derived_cl7, zip_derived_cl68])).
% 6.77/1.57 thf(zip_derived_cl1021, plain,
% 6.77/1.57 ((((apply @ (relation_rng_restriction @ sk__15 @ sk__16) @
% 6.77/1.57 (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 = (apply @ sk__16 @
% 6.77/1.57 (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16))))
% 6.77/1.57 | ~ (function @ sk__16)
% 6.77/1.57 | ~ (relation @ sk__16)
% 6.77/1.57 | ~ (in @ (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16)))),
% 6.77/1.57 inference('sup+', [status(thm)], [zip_derived_cl1007, zip_derived_cl404])).
% 6.77/1.57 thf(zip_derived_cl67, plain, ( (function @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl66, plain, ( (relation @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl1033, plain,
% 6.77/1.57 ((((apply @ (relation_rng_restriction @ sk__15 @ sk__16) @
% 6.77/1.57 (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 = (apply @ sk__16 @
% 6.77/1.57 (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16))))
% 6.77/1.57 | ~ (in @ (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16)))),
% 6.77/1.57 inference('demod', [status(thm)],
% 6.77/1.57 [zip_derived_cl1021, zip_derived_cl67, zip_derived_cl66])).
% 6.77/1.57 thf(zip_derived_cl8, plain,
% 6.77/1.57 (![X0 : $i]:
% 6.77/1.57 ( (in @ (sk__1 @ X0) @ (relation_dom @ X0))
% 6.77/1.57 | (one_to_one @ X0)
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (relation @ X0))),
% 6.77/1.57 inference('cnf', [status(esa)], [d8_funct_1])).
% 6.77/1.57 thf(zip_derived_cl68, plain,
% 6.77/1.57 (~ (one_to_one @ (relation_rng_restriction @ sk__15 @ sk__16))),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl406, plain,
% 6.77/1.57 ((~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | (in @ (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ (relation_rng_restriction @ sk__15 @ sk__16))))),
% 6.77/1.57 inference('dp-resolution', [status(thm)],
% 6.77/1.57 [zip_derived_cl8, zip_derived_cl68])).
% 6.77/1.57 thf(zip_derived_cl2197, plain,
% 6.77/1.57 ((~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ((apply @ (relation_rng_restriction @ sk__15 @ sk__16) @
% 6.77/1.57 (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 = (apply @ sk__16 @
% 6.77/1.57 (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)))))),
% 6.77/1.57 inference('clc', [status(thm)], [zip_derived_cl1033, zip_derived_cl406])).
% 6.77/1.57 thf(zip_derived_cl1007, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.77/1.57 (~ (in @ X2 @ (relation_dom @ (relation_rng_restriction @ X1 @ X0)))
% 6.77/1.57 | ((apply @ (relation_rng_restriction @ X1 @ X0) @ X2)
% 6.77/1.57 = (apply @ X0 @ X2))
% 6.77/1.57 | ~ (relation @ X0)
% 6.77/1.57 | ~ (function @ X0))),
% 6.77/1.57 inference('clc', [status(thm)], [zip_derived_cl1006, zip_derived_cl11])).
% 6.77/1.57 thf(zip_derived_cl2208, plain,
% 6.77/1.57 ((((apply @ sk__16 @
% 6.77/1.57 (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 = (apply @ sk__16 @
% 6.77/1.57 (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16))))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ sk__16)
% 6.77/1.57 | ~ (relation @ sk__16)
% 6.77/1.57 | ~ (in @ (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ (relation_rng_restriction @ sk__15 @ sk__16))))),
% 6.77/1.57 inference('sup+', [status(thm)], [zip_derived_cl2197, zip_derived_cl1007])).
% 6.77/1.57 thf(zip_derived_cl67, plain, ( (function @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl66, plain, ( (relation @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl2221, plain,
% 6.77/1.57 ((((apply @ sk__16 @
% 6.77/1.57 (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 = (apply @ sk__16 @
% 6.77/1.57 (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16))))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (in @ (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ (relation_rng_restriction @ sk__15 @ sk__16))))),
% 6.77/1.57 inference('demod', [status(thm)],
% 6.77/1.57 [zip_derived_cl2208, zip_derived_cl67, zip_derived_cl66])).
% 6.77/1.57 thf(zip_derived_cl9, plain,
% 6.77/1.57 (![X0 : $i]:
% 6.77/1.57 ( (in @ (sk_ @ X0) @ (relation_dom @ X0))
% 6.77/1.57 | (one_to_one @ X0)
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (relation @ X0))),
% 6.77/1.57 inference('cnf', [status(esa)], [d8_funct_1])).
% 6.77/1.57 thf(zip_derived_cl68, plain,
% 6.77/1.57 (~ (one_to_one @ (relation_rng_restriction @ sk__15 @ sk__16))),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl408, plain,
% 6.77/1.57 ((~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | (in @ (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ (relation_rng_restriction @ sk__15 @ sk__16))))),
% 6.77/1.57 inference('dp-resolution', [status(thm)],
% 6.77/1.57 [zip_derived_cl9, zip_derived_cl68])).
% 6.77/1.57 thf(zip_derived_cl2231, plain,
% 6.77/1.57 ((~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ((apply @ sk__16 @
% 6.77/1.57 (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 = (apply @ sk__16 @
% 6.77/1.57 (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)))))),
% 6.77/1.57 inference('clc', [status(thm)], [zip_derived_cl2221, zip_derived_cl408])).
% 6.77/1.57 thf(zip_derived_cl69, plain, ( (one_to_one @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl10, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.77/1.57 (~ (one_to_one @ X0)
% 6.77/1.57 | ~ (in @ X1 @ (relation_dom @ X0))
% 6.77/1.57 | ~ (in @ X2 @ (relation_dom @ X0))
% 6.77/1.57 | ((apply @ X0 @ X1) != (apply @ X0 @ X2))
% 6.77/1.57 | ((X1) = (X2))
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (relation @ X0))),
% 6.77/1.57 inference('cnf', [status(esa)], [d8_funct_1])).
% 6.77/1.57 thf(zip_derived_cl413, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i]:
% 6.77/1.57 (~ (relation @ sk__16)
% 6.77/1.57 | ~ (function @ sk__16)
% 6.77/1.57 | ((X0) = (X1))
% 6.77/1.57 | ((apply @ sk__16 @ X0) != (apply @ sk__16 @ X1))
% 6.77/1.57 | ~ (in @ X1 @ (relation_dom @ sk__16))
% 6.77/1.57 | ~ (in @ X0 @ (relation_dom @ sk__16)))),
% 6.77/1.57 inference('dp-resolution', [status(thm)],
% 6.77/1.57 [zip_derived_cl69, zip_derived_cl10])).
% 6.77/1.57 thf(zip_derived_cl66, plain, ( (relation @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl67, plain, ( (function @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl529, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i]:
% 6.77/1.57 (((X0) = (X1))
% 6.77/1.57 | ((apply @ sk__16 @ X0) != (apply @ sk__16 @ X1))
% 6.77/1.57 | ~ (in @ X1 @ (relation_dom @ sk__16))
% 6.77/1.57 | ~ (in @ X0 @ (relation_dom @ sk__16)))),
% 6.77/1.57 inference('demod', [status(thm)],
% 6.77/1.57 [zip_derived_cl413, zip_derived_cl66, zip_derived_cl67])).
% 6.77/1.57 thf(zip_derived_cl2242, plain,
% 6.77/1.57 (![X0 : $i]:
% 6.77/1.57 (((apply @ sk__16 @
% 6.77/1.57 (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 != (apply @ sk__16 @ X0))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (in @ (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ sk__16))
% 6.77/1.57 | ~ (in @ X0 @ (relation_dom @ sk__16))
% 6.77/1.57 | ((sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)) = (X0)))),
% 6.77/1.57 inference('sup-', [status(thm)], [zip_derived_cl2231, zip_derived_cl529])).
% 6.77/1.57 thf(zip_derived_cl406, plain,
% 6.77/1.57 ((~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | (in @ (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ (relation_rng_restriction @ sk__15 @ sk__16))))),
% 6.77/1.57 inference('dp-resolution', [status(thm)],
% 6.77/1.57 [zip_derived_cl8, zip_derived_cl68])).
% 6.77/1.57 thf(zip_derived_cl64, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.77/1.57 (~ (relation @ X0)
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ((X2) != (relation_rng_restriction @ X1 @ X0))
% 6.77/1.57 | (zip_tseitin_1 @ X3 @ X0 @ X1)
% 6.77/1.57 | ~ (in @ X3 @ (relation_dom @ X2))
% 6.77/1.57 | ~ (function @ X2)
% 6.77/1.57 | ~ (relation @ X2))),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_4])).
% 6.77/1.57 thf(zip_derived_cl57, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.77/1.57 ( (in @ X0 @ (relation_dom @ X1)) | ~ (zip_tseitin_1 @ X0 @ X1 @ X2))),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.77/1.57 thf(zip_derived_cl390, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.77/1.57 (~ (relation @ X1)
% 6.77/1.57 | ~ (function @ X1)
% 6.77/1.57 | ~ (in @ X3 @ (relation_dom @ X1))
% 6.77/1.57 | ((X1) != (relation_rng_restriction @ X2 @ X0))
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (relation @ X0)
% 6.77/1.57 | (in @ X3 @ (relation_dom @ X0)))),
% 6.77/1.57 inference('dp-resolution', [status(thm)],
% 6.77/1.57 [zip_derived_cl64, zip_derived_cl57])).
% 6.77/1.57 thf(zip_derived_cl504, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i]:
% 6.77/1.57 (~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | (in @ (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ X0))
% 6.77/1.57 | ~ (relation @ X0)
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ((relation_rng_restriction @ sk__15 @ sk__16)
% 6.77/1.57 != (relation_rng_restriction @ X1 @ X0))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16)))),
% 6.77/1.57 inference('sup-', [status(thm)], [zip_derived_cl406, zip_derived_cl390])).
% 6.77/1.57 thf(zip_derived_cl508, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i]:
% 6.77/1.57 (((relation_rng_restriction @ sk__15 @ sk__16)
% 6.77/1.57 != (relation_rng_restriction @ X1 @ X0))
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (relation @ X0)
% 6.77/1.57 | (in @ (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ X0))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16)))),
% 6.77/1.57 inference('simplify', [status(thm)], [zip_derived_cl504])).
% 6.77/1.57 thf(zip_derived_cl557, plain,
% 6.77/1.57 ((~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | (in @ (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ sk__16))
% 6.77/1.57 | ~ (relation @ sk__16)
% 6.77/1.57 | ~ (function @ sk__16))),
% 6.77/1.57 inference('eq_res', [status(thm)], [zip_derived_cl508])).
% 6.77/1.57 thf(zip_derived_cl66, plain, ( (relation @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl67, plain, ( (function @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl558, plain,
% 6.77/1.57 ((~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | (in @ (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ sk__16)))),
% 6.77/1.57 inference('demod', [status(thm)],
% 6.77/1.57 [zip_derived_cl557, zip_derived_cl66, zip_derived_cl67])).
% 6.77/1.57 thf(zip_derived_cl2258, plain,
% 6.77/1.57 (![X0 : $i]:
% 6.77/1.57 (((sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16)) = (X0))
% 6.77/1.57 | ~ (in @ X0 @ (relation_dom @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ((apply @ sk__16 @
% 6.77/1.57 (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 != (apply @ sk__16 @ X0)))),
% 6.77/1.57 inference('clc', [status(thm)], [zip_derived_cl2242, zip_derived_cl558])).
% 6.77/1.57 thf(zip_derived_cl2260, plain,
% 6.77/1.57 ((~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (in @ (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ sk__16))
% 6.77/1.57 | ((sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 = (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16))))),
% 6.77/1.57 inference('eq_res', [status(thm)], [zip_derived_cl2258])).
% 6.77/1.57 thf(zip_derived_cl408, plain,
% 6.77/1.57 ((~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | (in @ (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ (relation_rng_restriction @ sk__15 @ sk__16))))),
% 6.77/1.57 inference('dp-resolution', [status(thm)],
% 6.77/1.57 [zip_derived_cl9, zip_derived_cl68])).
% 6.77/1.57 thf(zip_derived_cl390, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.77/1.57 (~ (relation @ X1)
% 6.77/1.57 | ~ (function @ X1)
% 6.77/1.57 | ~ (in @ X3 @ (relation_dom @ X1))
% 6.77/1.57 | ((X1) != (relation_rng_restriction @ X2 @ X0))
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (relation @ X0)
% 6.77/1.57 | (in @ X3 @ (relation_dom @ X0)))),
% 6.77/1.57 inference('dp-resolution', [status(thm)],
% 6.77/1.57 [zip_derived_cl64, zip_derived_cl57])).
% 6.77/1.57 thf(zip_derived_cl511, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i]:
% 6.77/1.57 (~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | (in @ (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ X0))
% 6.77/1.57 | ~ (relation @ X0)
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ((relation_rng_restriction @ sk__15 @ sk__16)
% 6.77/1.57 != (relation_rng_restriction @ X1 @ X0))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16)))),
% 6.77/1.57 inference('sup-', [status(thm)], [zip_derived_cl408, zip_derived_cl390])).
% 6.77/1.57 thf(zip_derived_cl515, plain,
% 6.77/1.57 (![X0 : $i, X1 : $i]:
% 6.77/1.57 (((relation_rng_restriction @ sk__15 @ sk__16)
% 6.77/1.57 != (relation_rng_restriction @ X1 @ X0))
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (relation @ X0)
% 6.77/1.57 | (in @ (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ X0))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16)))),
% 6.77/1.57 inference('simplify', [status(thm)], [zip_derived_cl511])).
% 6.77/1.57 thf(zip_derived_cl626, plain,
% 6.77/1.57 ((~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | (in @ (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ sk__16))
% 6.77/1.57 | ~ (relation @ sk__16)
% 6.77/1.57 | ~ (function @ sk__16))),
% 6.77/1.57 inference('eq_res', [status(thm)], [zip_derived_cl515])).
% 6.77/1.57 thf(zip_derived_cl66, plain, ( (relation @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl67, plain, ( (function @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl627, plain,
% 6.77/1.57 ((~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | (in @ (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)) @
% 6.77/1.57 (relation_dom @ sk__16)))),
% 6.77/1.57 inference('demod', [status(thm)],
% 6.77/1.57 [zip_derived_cl626, zip_derived_cl66, zip_derived_cl67])).
% 6.77/1.57 thf(zip_derived_cl2262, plain,
% 6.77/1.57 ((((sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 = (sk_ @ (relation_rng_restriction @ sk__15 @ sk__16)))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16)))),
% 6.77/1.57 inference('clc', [status(thm)], [zip_derived_cl2260, zip_derived_cl627])).
% 6.77/1.57 thf(zip_derived_cl6, plain,
% 6.77/1.57 (![X0 : $i]:
% 6.77/1.57 (((sk_ @ X0) != (sk__1 @ X0))
% 6.77/1.57 | (one_to_one @ X0)
% 6.77/1.57 | ~ (function @ X0)
% 6.77/1.57 | ~ (relation @ X0))),
% 6.77/1.57 inference('cnf', [status(esa)], [d8_funct_1])).
% 6.77/1.57 thf(zip_derived_cl68, plain,
% 6.77/1.57 (~ (one_to_one @ (relation_rng_restriction @ sk__15 @ sk__16))),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl402, plain,
% 6.77/1.57 ((~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ((sk_ @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 != (sk__1 @ (relation_rng_restriction @ sk__15 @ sk__16))))),
% 6.77/1.57 inference('dp-resolution', [status(thm)],
% 6.77/1.57 [zip_derived_cl6, zip_derived_cl68])).
% 6.77/1.57 thf(zip_derived_cl2263, plain,
% 6.77/1.57 ((~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))
% 6.77/1.57 | ~ (relation @ (relation_rng_restriction @ sk__15 @ sk__16)))),
% 6.77/1.57 inference('clc', [status(thm)], [zip_derived_cl2262, zip_derived_cl402])).
% 6.77/1.57 thf(zip_derived_cl2267, plain,
% 6.77/1.57 ((~ (relation @ sk__16)
% 6.77/1.57 | ~ (function @ (relation_rng_restriction @ sk__15 @ sk__16)))),
% 6.77/1.57 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl2263])).
% 6.77/1.57 thf(zip_derived_cl66, plain, ( (relation @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl2269, plain,
% 6.77/1.57 (~ (function @ (relation_rng_restriction @ sk__15 @ sk__16))),
% 6.77/1.57 inference('demod', [status(thm)], [zip_derived_cl2267, zip_derived_cl66])).
% 6.77/1.57 thf(zip_derived_cl2275, plain,
% 6.77/1.57 ((~ (relation @ sk__16) | ~ (function @ sk__16))),
% 6.77/1.57 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl2269])).
% 6.77/1.57 thf(zip_derived_cl66, plain, ( (relation @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl67, plain, ( (function @ sk__16)),
% 6.77/1.57 inference('cnf', [status(esa)], [zf_stmt_5])).
% 6.77/1.57 thf(zip_derived_cl2276, plain, ($false),
% 6.77/1.57 inference('demod', [status(thm)],
% 6.77/1.57 [zip_derived_cl2275, zip_derived_cl66, zip_derived_cl67])).
% 6.77/1.57
% 6.77/1.57 % SZS output end Refutation
% 6.77/1.57
% 6.77/1.57
% 6.77/1.57 % Terminating...
% 7.31/1.67 % Runner terminated.
% 7.31/1.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------