%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU226+1 : TPTP v9.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Uyjc9oi6vm true
% Computer : n010.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 04:53:54 PM UTC 2025
% Result : Theorem 14.96s 2.78s
% Output : Refutation 14.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.11 % Problem : SEU226+1 : TPTP v9.2.0. Released v3.3.0.
% 0.01/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Uyjc9oi6vm true
% 0.12/0.32 % Computer : n010.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 16:02:53 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.49/0.63 % Total configuration time : 435
% 0.49/0.63 % Estimated wc time : 1092
% 0.49/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.50/0.70 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 14.96/2.78 % Solved by fo/fo4.sh.
% 14.96/2.78 % done 664 iterations in 2.041s
% 14.96/2.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.96/2.78 % SZS output start Refutation
% 14.96/2.78 thf(sk__10_type, type, sk__10: $i).
% 14.96/2.78 thf(sk__4_type, type, sk__4: $i > $i > $i).
% 14.96/2.78 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 14.96/2.78 thf(relation_inverse_image_type, type, relation_inverse_image: $i > $i > $i).
% 14.96/2.78 thf(function_type, type, function: $i > $o).
% 14.96/2.78 thf(apply_type, type, apply: $i > $i > $i).
% 14.96/2.78 thf(sk__9_type, type, sk__9: $i).
% 14.96/2.78 thf(in_type, type, in: $i > $i > $o).
% 14.96/2.78 thf(sk__2_type, type, sk__2: $i > $i > $i > $i).
% 14.96/2.78 thf(subset_type, type, subset: $i > $i > $o).
% 14.96/2.78 thf(relation_type, type, relation: $i > $o).
% 14.96/2.78 thf(relation_dom_type, type, relation_dom: $i > $i).
% 14.96/2.78 thf(relation_image_type, type, relation_image: $i > $i > $i).
% 14.96/2.78 thf(t145_funct_1, conjecture,
% 14.96/2.78 (![A:$i,B:$i]:
% 14.96/2.78 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 14.96/2.78 ( subset @
% 14.96/2.78 ( relation_image @ B @ ( relation_inverse_image @ B @ A ) ) @ A ) ))).
% 14.96/2.78 thf(zf_stmt_0, negated_conjecture,
% 14.96/2.78 (~( ![A:$i,B:$i]:
% 14.96/2.78 ( ( ( relation @ B ) & ( function @ B ) ) =>
% 14.96/2.78 ( subset @
% 14.96/2.78 ( relation_image @ B @ ( relation_inverse_image @ B @ A ) ) @ A ) ) )),
% 14.96/2.78 inference('cnf.neg', [status(esa)], [t145_funct_1])).
% 14.96/2.78 thf(zip_derived_cl33, plain,
% 14.96/2.78 (~ (subset @
% 14.96/2.78 (relation_image @ sk__10 @ (relation_inverse_image @ sk__10 @ sk__9)) @
% 14.96/2.78 sk__9)),
% 14.96/2.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.96/2.78 thf(d3_tarski, axiom,
% 14.96/2.78 (![A:$i,B:$i]:
% 14.96/2.78 ( ( subset @ A @ B ) <=> ( ![C:$i]: ( ( in @ C @ A ) => ( in @ C @ B ) ) ) ))).
% 14.96/2.78 thf(zip_derived_cl17, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i]:
% 14.96/2.78 ( (subset @ X0 @ X1) | ~ (in @ (sk__4 @ X1 @ X0) @ X1))),
% 14.96/2.78 inference('cnf', [status(esa)], [d3_tarski])).
% 14.96/2.78 thf(zip_derived_cl31, plain, ( (relation @ sk__10)),
% 14.96/2.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.96/2.78 thf(zip_derived_cl18, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i]:
% 14.96/2.78 ( (subset @ X0 @ X1) | (in @ (sk__4 @ X1 @ X0) @ X0))),
% 14.96/2.78 inference('cnf', [status(esa)], [d3_tarski])).
% 14.96/2.78 thf(d12_funct_1, axiom,
% 14.96/2.78 (![A:$i]:
% 14.96/2.78 ( ( ( function @ A ) & ( relation @ A ) ) =>
% 14.96/2.78 ( ![B:$i,C:$i]:
% 14.96/2.78 ( ( ( C ) = ( relation_image @ A @ B ) ) <=>
% 14.96/2.78 ( ![D:$i]:
% 14.96/2.78 ( ( in @ D @ C ) <=>
% 14.96/2.78 ( ?[E:$i]:
% 14.96/2.78 ( ( in @ E @ ( relation_dom @ A ) ) & ( in @ E @ B ) &
% 14.96/2.78 ( ( D ) = ( apply @ A @ E ) ) ) ) ) ) ) ) ))).
% 14.96/2.78 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 14.96/2.78 thf(zf_stmt_2, axiom,
% 14.96/2.78 (![E:$i,D:$i,B:$i,A:$i]:
% 14.96/2.78 ( ( zip_tseitin_0 @ E @ D @ B @ A ) <=>
% 14.96/2.78 ( ( ( D ) = ( apply @ A @ E ) ) & ( in @ E @ B ) &
% 14.96/2.78 ( in @ E @ ( relation_dom @ A ) ) ) ))).
% 14.96/2.78 thf(zf_stmt_3, axiom,
% 14.96/2.78 (![A:$i]:
% 14.96/2.78 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 14.96/2.78 ( ![B:$i,C:$i]:
% 14.96/2.78 ( ( ( C ) = ( relation_image @ A @ B ) ) <=>
% 14.96/2.78 ( ![D:$i]:
% 14.96/2.78 ( ( in @ D @ C ) <=>
% 14.96/2.78 ( ?[E:$i]: ( zip_tseitin_0 @ E @ D @ B @ A ) ) ) ) ) ) ))).
% 14.96/2.78 thf(zip_derived_cl8, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.96/2.78 (((X2) != (relation_image @ X0 @ X1))
% 14.96/2.78 | (zip_tseitin_0 @ (sk__2 @ X3 @ X1 @ X0) @ X3 @ X1 @ X0)
% 14.96/2.78 | ~ (in @ X3 @ X2)
% 14.96/2.78 | ~ (function @ X0)
% 14.96/2.78 | ~ (relation @ X0))),
% 14.96/2.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 14.96/2.78 thf(zip_derived_cl92, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.96/2.78 (~ (relation @ X0)
% 14.96/2.78 | ~ (function @ X0)
% 14.96/2.78 | ~ (in @ X2 @ (relation_image @ X0 @ X1))
% 14.96/2.78 | (zip_tseitin_0 @ (sk__2 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 14.96/2.78 inference('eq_res', [status(thm)], [zip_derived_cl8])).
% 14.96/2.78 thf(zip_derived_cl3, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.96/2.78 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X2 @ X1 @ X3))),
% 14.96/2.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.96/2.78 thf(zip_derived_cl225, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.96/2.78 (~ (in @ X2 @ (relation_image @ X0 @ X1))
% 14.96/2.78 | ~ (function @ X0)
% 14.96/2.78 | ~ (relation @ X0)
% 14.96/2.78 | (in @ (sk__2 @ X2 @ X1 @ X0) @ X1))),
% 14.96/2.78 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl3])).
% 14.96/2.78 thf(zip_derived_cl92, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.96/2.78 (~ (relation @ X0)
% 14.96/2.78 | ~ (function @ X0)
% 14.96/2.78 | ~ (in @ X2 @ (relation_image @ X0 @ X1))
% 14.96/2.78 | (zip_tseitin_0 @ (sk__2 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 14.96/2.78 inference('eq_res', [status(thm)], [zip_derived_cl8])).
% 14.96/2.78 thf(zip_derived_cl2, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.96/2.78 (((X2) = (apply @ X0 @ X1)) | ~ (zip_tseitin_0 @ X1 @ X2 @ X3 @ X0))),
% 14.96/2.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 14.96/2.78 thf(zip_derived_cl224, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.96/2.78 (~ (in @ X2 @ (relation_image @ X0 @ X1))
% 14.96/2.78 | ~ (function @ X0)
% 14.96/2.78 | ~ (relation @ X0)
% 14.96/2.78 | ((X2) = (apply @ X0 @ (sk__2 @ X2 @ X1 @ X0))))),
% 14.96/2.78 inference('sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl2])).
% 14.96/2.78 thf(d13_funct_1, axiom,
% 14.96/2.78 (![A:$i]:
% 14.96/2.78 ( ( ( relation @ A ) & ( function @ A ) ) =>
% 14.96/2.78 ( ![B:$i,C:$i]:
% 14.96/2.78 ( ( ( C ) = ( relation_inverse_image @ A @ B ) ) <=>
% 14.96/2.78 ( ![D:$i]:
% 14.96/2.78 ( ( in @ D @ C ) <=>
% 14.96/2.78 ( ( in @ D @ ( relation_dom @ A ) ) &
% 14.96/2.78 ( in @ ( apply @ A @ D ) @ B ) ) ) ) ) ) ))).
% 14.96/2.78 thf(zip_derived_cl14, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.96/2.78 (((X2) != (relation_inverse_image @ X0 @ X1))
% 14.96/2.78 | (in @ (apply @ X0 @ X3) @ X1)
% 14.96/2.78 | ~ (in @ X3 @ X2)
% 14.96/2.78 | ~ (function @ X0)
% 14.96/2.78 | ~ (relation @ X0))),
% 14.96/2.78 inference('cnf', [status(esa)], [d13_funct_1])).
% 14.96/2.78 thf(zip_derived_cl60, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.96/2.78 (~ (relation @ X0)
% 14.96/2.78 | ~ (function @ X0)
% 14.96/2.78 | ~ (in @ X2 @ (relation_inverse_image @ X0 @ X1))
% 14.96/2.78 | (in @ (apply @ X0 @ X2) @ X1))),
% 14.96/2.78 inference('eq_res', [status(thm)], [zip_derived_cl14])).
% 14.96/2.78 thf(zip_derived_cl267, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.96/2.78 ( (in @ X0 @ X1)
% 14.96/2.78 | ~ (relation @ X2)
% 14.96/2.78 | ~ (function @ X2)
% 14.96/2.78 | ~ (in @ X0 @ (relation_image @ X2 @ X3))
% 14.96/2.78 | ~ (in @ (sk__2 @ X0 @ X3 @ X2) @ (relation_inverse_image @ X2 @ X1))
% 14.96/2.78 | ~ (function @ X2)
% 14.96/2.78 | ~ (relation @ X2))),
% 14.96/2.78 inference('sup+', [status(thm)], [zip_derived_cl224, zip_derived_cl60])).
% 14.96/2.78 thf(zip_derived_cl272, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 14.96/2.78 (~ (in @ (sk__2 @ X0 @ X3 @ X2) @ (relation_inverse_image @ X2 @ X1))
% 14.96/2.78 | ~ (in @ X0 @ (relation_image @ X2 @ X3))
% 14.96/2.78 | ~ (function @ X2)
% 14.96/2.78 | ~ (relation @ X2)
% 14.96/2.78 | (in @ X0 @ X1))),
% 14.96/2.78 inference('simplify', [status(thm)], [zip_derived_cl267])).
% 14.96/2.78 thf(zip_derived_cl326, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.96/2.78 (~ (relation @ X1)
% 14.96/2.78 | ~ (function @ X1)
% 14.96/2.78 | ~ (in @ X2 @
% 14.96/2.78 (relation_image @ X1 @ (relation_inverse_image @ X1 @ X0)))
% 14.96/2.78 | (in @ X2 @ X0)
% 14.96/2.78 | ~ (relation @ X1)
% 14.96/2.78 | ~ (function @ X1)
% 14.96/2.78 | ~ (in @ X2 @
% 14.96/2.78 (relation_image @ X1 @ (relation_inverse_image @ X1 @ X0))))),
% 14.96/2.78 inference('sup-', [status(thm)], [zip_derived_cl225, zip_derived_cl272])).
% 14.96/2.78 thf(zip_derived_cl327, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.96/2.78 ( (in @ X2 @ X0)
% 14.96/2.78 | ~ (in @ X2 @
% 14.96/2.78 (relation_image @ X1 @ (relation_inverse_image @ X1 @ X0)))
% 14.96/2.78 | ~ (function @ X1)
% 14.96/2.78 | ~ (relation @ X1))),
% 14.96/2.78 inference('simplify', [status(thm)], [zip_derived_cl326])).
% 14.96/2.78 thf(zip_derived_cl331, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 14.96/2.78 ( (subset @
% 14.96/2.78 (relation_image @ X1 @ (relation_inverse_image @ X1 @ X0)) @ X2)
% 14.96/2.78 | ~ (relation @ X1)
% 14.96/2.78 | ~ (function @ X1)
% 14.96/2.78 | (in @
% 14.96/2.78 (sk__4 @ X2 @
% 14.96/2.78 (relation_image @ X1 @ (relation_inverse_image @ X1 @ X0))) @
% 14.96/2.78 X0))),
% 14.96/2.78 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl327])).
% 14.96/2.78 thf(zip_derived_cl336, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i]:
% 14.96/2.78 ( (in @
% 14.96/2.78 (sk__4 @ X1 @
% 14.96/2.78 (relation_image @ sk__10 @ (relation_inverse_image @ sk__10 @ X0))) @
% 14.96/2.78 X0)
% 14.96/2.78 | ~ (function @ sk__10)
% 14.96/2.78 | (subset @
% 14.96/2.78 (relation_image @ sk__10 @ (relation_inverse_image @ sk__10 @ X0)) @
% 14.96/2.78 X1))),
% 14.96/2.78 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl331])).
% 14.96/2.78 thf(zip_derived_cl32, plain, ( (function @ sk__10)),
% 14.96/2.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.96/2.78 thf(zip_derived_cl340, plain,
% 14.96/2.78 (![X0 : $i, X1 : $i]:
% 14.96/2.78 ( (in @
% 14.96/2.78 (sk__4 @ X1 @
% 14.96/2.78 (relation_image @ sk__10 @ (relation_inverse_image @ sk__10 @ X0))) @
% 14.96/2.78 X0)
% 14.96/2.78 | (subset @
% 14.96/2.78 (relation_image @ sk__10 @ (relation_inverse_image @ sk__10 @ X0)) @
% 14.96/2.78 X1))),
% 14.96/2.78 inference('demod', [status(thm)], [zip_derived_cl336, zip_derived_cl32])).
% 14.96/2.78 thf(zip_derived_cl5071, plain,
% 14.96/2.78 (![X0 : $i]:
% 14.96/2.78 ( (subset @
% 14.96/2.78 (relation_image @ sk__10 @ (relation_inverse_image @ sk__10 @ X0)) @
% 14.96/2.78 X0)
% 14.96/2.78 | (subset @
% 14.96/2.78 (relation_image @ sk__10 @ (relation_inverse_image @ sk__10 @ X0)) @
% 14.96/2.78 X0))),
% 14.96/2.78 inference('sup+', [status(thm)], [zip_derived_cl17, zip_derived_cl340])).
% 14.96/2.78 thf(zip_derived_cl5072, plain,
% 14.96/2.78 (![X0 : $i]:
% 14.96/2.78 (subset @
% 14.96/2.78 (relation_image @ sk__10 @ (relation_inverse_image @ sk__10 @ X0)) @
% 14.96/2.78 X0)),
% 14.96/2.78 inference('simplify', [status(thm)], [zip_derived_cl5071])).
% 14.96/2.78 thf(zip_derived_cl5074, plain, ($false),
% 14.96/2.78 inference('demod', [status(thm)], [zip_derived_cl33, zip_derived_cl5072])).
% 14.96/2.78
% 14.96/2.78 % SZS output end Refutation
% 14.96/2.78
% 14.96/2.78
% 14.96/2.78 % Terminating...
% 15.75/2.87 % Runner terminated.
% 15.75/2.90 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------