%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU297+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.v6Cy3GSiGR true
% Computer : n004.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 04:54:09 PM UTC 2025
% Result : Theorem 0.56s 0.95s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU297+1 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.v6Cy3GSiGR true
% 0.13/0.35 % Computer : n004.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 16:10:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.78 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.95 % Solved by fo/fo7.sh.
% 0.56/0.95 % done 245 iterations in 0.170s
% 0.56/0.95 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.95 % SZS output start Refutation
% 0.56/0.95 thf(relation_dom_type, type, relation_dom: $i > $i).
% 0.56/0.95 thf(sk__type, type, sk_: $i).
% 0.56/0.95 thf(sk__1_type, type, sk__1: $i).
% 0.56/0.95 thf(sk__2_type, type, sk__2: $i).
% 0.56/0.95 thf(relation_type, type, relation: $i > $o).
% 0.56/0.95 thf(function_type, type, function: $i > $o).
% 0.56/0.95 thf(relation_image_type, type, relation_image: $i > $i > $i).
% 0.56/0.95 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 0.56/0.95 thf(sk__3_type, type, sk__3: $i > $i).
% 0.56/0.95 thf(sk__22_type, type, sk__22: $i > $i > $i).
% 0.56/0.95 thf(element_type, type, element: $i > $i > $o).
% 0.56/0.95 thf(sk__21_type, type, sk__21: $i > $i > $i).
% 0.56/0.95 thf(in_type, type, in: $i > $i > $o).
% 0.56/0.95 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 0.56/0.95 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $i > $o).
% 0.56/0.95 thf(sk__24_type, type, sk__24: $i > $i > $i).
% 0.56/0.95 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 0.56/0.95 thf(sk__20_type, type, sk__20: $i > $i > $i > $i).
% 0.56/0.95 thf(powerset_type, type, powerset: $i > $i).
% 0.56/0.95 thf(sk__23_type, type, sk__23: $i > $i > $i).
% 0.56/0.95 thf(s1_xboole_0__e6_27__finset_1, conjecture,
% 0.56/0.95 (![A:$i,B:$i,C:$i]:
% 0.56/0.95 ( ( ( element @ B @ ( powerset @ ( powerset @ A ) ) ) &
% 0.56/0.95 ( relation @ C ) & ( function @ C ) ) =>
% 0.56/0.95 ( ?[D:$i]:
% 0.56/0.95 ( ![E:$i]:
% 0.56/0.95 ( ( in @ E @ D ) <=>
% 0.56/0.95 ( ( in @ E @ ( powerset @ ( relation_dom @ C ) ) ) &
% 0.56/0.95 ( in @ ( relation_image @ C @ E ) @ B ) ) ) ) ) ))).
% 0.56/0.95 thf(zf_stmt_0, negated_conjecture,
% 0.56/0.95 (~( ![A:$i,B:$i,C:$i]:
% 0.56/0.95 ( ( ( element @ B @ ( powerset @ ( powerset @ A ) ) ) &
% 0.56/0.95 ( relation @ C ) & ( function @ C ) ) =>
% 0.56/0.95 ( ?[D:$i]:
% 0.56/0.95 ( ![E:$i]:
% 0.56/0.95 ( ( in @ E @ D ) <=>
% 0.56/0.95 ( ( in @ E @ ( powerset @ ( relation_dom @ C ) ) ) &
% 0.56/0.95 ( in @ ( relation_image @ C @ E ) @ B ) ) ) ) ) ) )),
% 0.56/0.95 inference('cnf.neg', [status(esa)], [s1_xboole_0__e6_27__finset_1])).
% 0.56/0.95 thf(zip_derived_cl1, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 ( (in @ (relation_image @ sk__2 @ (sk__3 @ X0)) @ sk__1)
% 0.56/0.95 | (in @ (sk__3 @ X0) @ X0))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.95 thf(s1_tarski__e6_27__finset_1__1, axiom,
% 0.56/0.95 (![A:$i,B:$i,C:$i]:
% 0.56/0.95 ( ( ( function @ C ) & ( relation @ C ) &
% 0.56/0.95 ( element @ B @ ( powerset @ ( powerset @ A ) ) ) ) =>
% 0.56/0.95 ( ( ![D:$i,E:$i,F:$i]:
% 0.56/0.95 ( ( ( in @ ( relation_image @ C @ F ) @ B ) & ( ( D ) = ( F ) ) &
% 0.56/0.95 ( in @ ( relation_image @ C @ E ) @ B ) & ( ( D ) = ( E ) ) ) =>
% 0.56/0.95 ( ( E ) = ( F ) ) ) ) =>
% 0.56/0.95 ( ?[D:$i]:
% 0.56/0.95 ( ![E:$i]:
% 0.56/0.95 ( ( in @ E @ D ) <=>
% 0.56/0.95 ( ?[F:$i]:
% 0.56/0.95 ( ( in @ F @ ( powerset @ ( relation_dom @ C ) ) ) &
% 0.56/0.95 ( ( F ) = ( E ) ) & ( in @ ( relation_image @ C @ E ) @ B ) ) ) ) ) ) ) ))).
% 0.56/0.95 thf(zf_stmt_1, axiom,
% 0.56/0.95 (![F:$i,E:$i,C:$i,B:$i]:
% 0.56/0.95 ( ( zip_tseitin_2 @ F @ E @ C @ B ) <=>
% 0.56/0.95 ( ( in @ ( relation_image @ C @ E ) @ B ) & ( ( F ) = ( E ) ) &
% 0.56/0.95 ( in @ F @ ( powerset @ ( relation_dom @ C ) ) ) ) ))).
% 0.56/0.95 thf(zip_derived_cl97, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3)
% 0.56/0.95 | ~ (in @ X0 @ (powerset @ (relation_dom @ X2)))
% 0.56/0.95 | ((X0) != (X1))
% 0.56/0.95 | ~ (in @ (relation_image @ X2 @ X1) @ X3))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.95 thf(zip_derived_cl249, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.95 (~ (in @ (relation_image @ X2 @ X1) @ X0)
% 0.56/0.95 | ~ (in @ X1 @ (powerset @ (relation_dom @ X2)))
% 0.56/0.95 | (zip_tseitin_2 @ X1 @ X1 @ X2 @ X0))),
% 0.56/0.95 inference('eq_res', [status(thm)], [zip_derived_cl97])).
% 0.56/0.95 thf(zip_derived_cl250, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 ( (in @ (sk__3 @ X0) @ X0)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__3 @ X0) @ (sk__3 @ X0) @ sk__2 @ sk__1)
% 0.56/0.95 | ~ (in @ (sk__3 @ X0) @ (powerset @ (relation_dom @ sk__2))))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl249])).
% 0.56/0.95 thf(zip_derived_cl0, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 ( (in @ (sk__3 @ X0) @ (powerset @ (relation_dom @ sk__2)))
% 0.56/0.95 | (in @ (sk__3 @ X0) @ X0))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.95 thf(zip_derived_cl258, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 ( (zip_tseitin_2 @ (sk__3 @ X0) @ (sk__3 @ X0) @ sk__2 @ sk__1)
% 0.56/0.95 | (in @ (sk__3 @ X0) @ X0))),
% 0.56/0.95 inference('clc', [status(thm)], [zip_derived_cl250, zip_derived_cl0])).
% 0.56/0.95 thf(zip_derived_cl258, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 ( (zip_tseitin_2 @ (sk__3 @ X0) @ (sk__3 @ X0) @ sk__2 @ sk__1)
% 0.56/0.95 | (in @ (sk__3 @ X0) @ X0))),
% 0.56/0.95 inference('clc', [status(thm)], [zip_derived_cl250, zip_derived_cl0])).
% 0.56/0.95 thf(zip_derived_cl3, plain, ( (function @ sk__2)),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.95 thf(zf_stmt_2, axiom,
% 0.56/0.95 (![F:$i,E:$i,D:$i,C:$i,B:$i]:
% 0.56/0.95 ( ( ( zip_tseitin_0 @ F @ E @ D @ C @ B ) => ( ( E ) = ( F ) ) ) =>
% 0.56/0.95 ( zip_tseitin_1 @ F @ E @ D @ C @ B ) ))).
% 0.56/0.95 thf(zip_derived_cl93, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.95 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 0.56/0.95 | (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.95 thf(zip_derived_cl5, plain,
% 0.56/0.95 ( (element @ sk__1 @ (powerset @ (powerset @ sk_)))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.95 thf(zf_stmt_3, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 0.56/0.95 thf(zf_stmt_4, axiom,
% 0.56/0.95 (![E:$i,D:$i,C:$i,B:$i]:
% 0.56/0.95 ( ( zip_tseitin_3 @ E @ D @ C @ B ) =>
% 0.56/0.95 ( ( in @ E @ D ) <=> ( ?[F:$i]: ( zip_tseitin_2 @ F @ E @ C @ B ) ) ) ))).
% 0.56/0.95 thf(zf_stmt_5, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 0.56/0.95 thf(zf_stmt_6, type, zip_tseitin_1 : $i > $i > $i > $i > $i > $o).
% 0.56/0.95 thf(zf_stmt_7, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 0.56/0.95 thf(zf_stmt_8, axiom,
% 0.56/0.95 (![F:$i,E:$i,D:$i,C:$i,B:$i]:
% 0.56/0.95 ( ( zip_tseitin_0 @ F @ E @ D @ C @ B ) =>
% 0.56/0.95 ( ( ( D ) = ( E ) ) & ( in @ ( relation_image @ C @ E ) @ B ) &
% 0.56/0.95 ( ( D ) = ( F ) ) & ( in @ ( relation_image @ C @ F ) @ B ) ) ))).
% 0.56/0.95 thf(zf_stmt_9, axiom,
% 0.56/0.95 (![A:$i,B:$i,C:$i]:
% 0.56/0.95 ( ( ( element @ B @ ( powerset @ ( powerset @ A ) ) ) &
% 0.56/0.95 ( relation @ C ) & ( function @ C ) ) =>
% 0.56/0.95 ( ( ![D:$i,E:$i,F:$i]: ( zip_tseitin_1 @ F @ E @ D @ C @ B ) ) =>
% 0.56/0.95 ( ?[D:$i]: ( ![E:$i]: ( zip_tseitin_3 @ E @ D @ C @ B ) ) ) ) ))).
% 0.56/0.95 thf(zip_derived_cl100, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 (~ (element @ X0 @ (powerset @ (powerset @ X1)))
% 0.56/0.95 | ~ (relation @ X2)
% 0.56/0.95 | ~ (function @ X2)
% 0.56/0.95 | (zip_tseitin_3 @ X3 @ (sk__24 @ X2 @ X0) @ X2 @ X0)
% 0.56/0.95 | ~ (zip_tseitin_1 @ (sk__23 @ X2 @ X0) @ (sk__22 @ X2 @ X0) @
% 0.56/0.95 (sk__21 @ X2 @ X0) @ X2 @ X0))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.56/0.95 thf(zip_derived_cl251, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i]:
% 0.56/0.95 (~ (zip_tseitin_1 @ (sk__23 @ X0 @ sk__1) @ (sk__22 @ X0 @ sk__1) @
% 0.56/0.95 (sk__21 @ X0 @ sk__1) @ X0 @ sk__1)
% 0.56/0.95 | (zip_tseitin_3 @ X1 @ (sk__24 @ X0 @ sk__1) @ X0 @ sk__1)
% 0.56/0.95 | ~ (function @ X0)
% 0.56/0.95 | ~ (relation @ X0))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl100])).
% 0.56/0.95 thf(zip_derived_cl261, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i]:
% 0.56/0.95 ( (zip_tseitin_0 @ (sk__23 @ X0 @ sk__1) @ (sk__22 @ X0 @ sk__1) @
% 0.56/0.95 (sk__21 @ X0 @ sk__1) @ X0 @ sk__1)
% 0.56/0.95 | ~ (relation @ X0)
% 0.56/0.95 | ~ (function @ X0)
% 0.56/0.95 | (zip_tseitin_3 @ X1 @ (sk__24 @ X0 @ sk__1) @ X0 @ sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl251])).
% 0.56/0.95 thf(zip_derived_cl271, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 ( (zip_tseitin_3 @ X0 @ (sk__24 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | ~ (relation @ sk__2)
% 0.56/0.95 | (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @
% 0.56/0.95 sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl261])).
% 0.56/0.95 thf(zip_derived_cl4, plain, ( (relation @ sk__2)),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.95 thf(zip_derived_cl277, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 ( (zip_tseitin_3 @ X0 @ (sk__24 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @
% 0.56/0.95 sk__1))),
% 0.56/0.95 inference('demod', [status(thm)], [zip_derived_cl271, zip_derived_cl4])).
% 0.56/0.95 thf(zip_derived_cl99, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 (~ (in @ X0 @ X1)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__20 @ X2 @ X3 @ X0) @ X0 @ X3 @ X2)
% 0.56/0.95 | ~ (zip_tseitin_3 @ X0 @ X1 @ X3 @ X2))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.95 thf(zip_derived_cl289, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 ( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__20 @ sk__1 @ sk__2 @ X0) @ X0 @ sk__2 @
% 0.56/0.95 sk__1)
% 0.56/0.95 | ~ (in @ X0 @ (sk__24 @ sk__2 @ sk__1)))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl277, zip_derived_cl99])).
% 0.56/0.95 thf(zip_derived_cl301, plain,
% 0.56/0.95 (( (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @
% 0.56/0.95 (sk__20 @ sk__1 @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1))) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl289])).
% 0.56/0.95 thf(zip_derived_cl95, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 (((X1) = (X0)) | ~ (zip_tseitin_2 @ X1 @ X0 @ X2 @ X3))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.95 thf(zip_derived_cl312, plain,
% 0.56/0.95 (( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | ((sk__20 @ sk__1 @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)))
% 0.56/0.95 = (sk__3 @ (sk__24 @ sk__2 @ sk__1))))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl301, zip_derived_cl95])).
% 0.56/0.95 thf(zip_derived_cl301, plain,
% 0.56/0.95 (( (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @
% 0.56/0.95 (sk__20 @ sk__1 @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1))) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl289])).
% 0.56/0.95 thf(zip_derived_cl315, plain,
% 0.56/0.95 (( (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('sup+', [status(thm)], [zip_derived_cl312, zip_derived_cl301])).
% 0.56/0.95 thf(zip_derived_cl316, plain,
% 0.56/0.95 (( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('simplify', [status(thm)], [zip_derived_cl315])).
% 0.56/0.95 thf(zip_derived_cl98, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.95 (~ (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3)
% 0.56/0.95 | (in @ X1 @ X4)
% 0.56/0.95 | ~ (zip_tseitin_3 @ X1 @ X4 @ X2 @ X3))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.95 thf(zip_derived_cl320, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 ( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | ~ (zip_tseitin_3 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ X0 @
% 0.56/0.95 sk__2 @ sk__1)
% 0.56/0.95 | (in @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ X0))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl316, zip_derived_cl98])).
% 0.56/0.95 thf(zip_derived_cl2, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 (~ (in @ (relation_image @ sk__2 @ (sk__3 @ X0)) @ sk__1)
% 0.56/0.95 | ~ (in @ (sk__3 @ X0) @ (powerset @ (relation_dom @ sk__2)))
% 0.56/0.95 | ~ (in @ (sk__3 @ X0) @ X0))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.95 thf(zip_derived_cl335, plain,
% 0.56/0.95 ((~ (zip_tseitin_3 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__24 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | ~ (in @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (powerset @ (relation_dom @ sk__2)))
% 0.56/0.95 | ~ (in @
% 0.56/0.95 (relation_image @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1))) @
% 0.56/0.95 sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl320, zip_derived_cl2])).
% 0.56/0.95 thf(zip_derived_cl277, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 ( (zip_tseitin_3 @ X0 @ (sk__24 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @
% 0.56/0.95 sk__1))),
% 0.56/0.95 inference('demod', [status(thm)], [zip_derived_cl271, zip_derived_cl4])).
% 0.56/0.95 thf(zip_derived_cl347, plain,
% 0.56/0.95 ((~ (in @
% 0.56/0.95 (relation_image @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1))) @
% 0.56/0.95 sk__1)
% 0.56/0.95 | ~ (in @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (powerset @ (relation_dom @ sk__2)))
% 0.56/0.95 | (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('clc', [status(thm)], [zip_derived_cl335, zip_derived_cl277])).
% 0.56/0.95 thf(zip_derived_cl316, plain,
% 0.56/0.95 (( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('simplify', [status(thm)], [zip_derived_cl315])).
% 0.56/0.95 thf(zip_derived_cl94, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 ( (in @ (relation_image @ X0 @ X1) @ X2)
% 0.56/0.95 | ~ (zip_tseitin_2 @ X3 @ X1 @ X0 @ X2))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.95 thf(zip_derived_cl317, plain,
% 0.56/0.95 (( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (in @
% 0.56/0.95 (relation_image @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1))) @
% 0.56/0.95 sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl316, zip_derived_cl94])).
% 0.56/0.95 thf(zip_derived_cl348, plain,
% 0.56/0.95 (( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | ~ (in @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (powerset @ (relation_dom @ sk__2))))),
% 0.56/0.95 inference('clc', [status(thm)], [zip_derived_cl347, zip_derived_cl317])).
% 0.56/0.95 thf(zip_derived_cl316, plain,
% 0.56/0.95 (( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('simplify', [status(thm)], [zip_derived_cl315])).
% 0.56/0.95 thf(zip_derived_cl96, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 ( (in @ X0 @ (powerset @ (relation_dom @ X1)))
% 0.56/0.95 | ~ (zip_tseitin_2 @ X0 @ X2 @ X1 @ X3))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.95 thf(zip_derived_cl319, plain,
% 0.56/0.95 (( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__22 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | (in @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (powerset @ (relation_dom @ sk__2))))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl316, zip_derived_cl96])).
% 0.56/0.95 thf(zip_derived_cl349, plain,
% 0.56/0.95 ( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @ (sk__22 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)),
% 0.56/0.95 inference('clc', [status(thm)], [zip_derived_cl348, zip_derived_cl319])).
% 0.56/0.95 thf(zip_derived_cl88, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.95 (((X1) = (X0)) | ~ (zip_tseitin_0 @ X2 @ X0 @ X1 @ X3 @ X4))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.95 thf(zip_derived_cl350, plain,
% 0.56/0.95 (((sk__21 @ sk__2 @ sk__1) = (sk__22 @ sk__2 @ sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl349, zip_derived_cl88])).
% 0.56/0.95 thf(zip_derived_cl251, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i]:
% 0.56/0.95 (~ (zip_tseitin_1 @ (sk__23 @ X0 @ sk__1) @ (sk__22 @ X0 @ sk__1) @
% 0.56/0.95 (sk__21 @ X0 @ sk__1) @ X0 @ sk__1)
% 0.56/0.95 | (zip_tseitin_3 @ X1 @ (sk__24 @ X0 @ sk__1) @ X0 @ sk__1)
% 0.56/0.95 | ~ (function @ X0)
% 0.56/0.95 | ~ (relation @ X0))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl100])).
% 0.56/0.95 thf(zip_derived_cl355, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 (~ (zip_tseitin_1 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__21 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @
% 0.56/0.95 sk__1)
% 0.56/0.95 | ~ (relation @ sk__2)
% 0.56/0.95 | ~ (function @ sk__2)
% 0.56/0.95 | (zip_tseitin_3 @ X0 @ (sk__24 @ sk__2 @ sk__1) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl350, zip_derived_cl251])).
% 0.56/0.95 thf(zip_derived_cl4, plain, ( (relation @ sk__2)),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.95 thf(zip_derived_cl3, plain, ( (function @ sk__2)),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.95 thf(zip_derived_cl356, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 (~ (zip_tseitin_1 @ (sk__23 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__21 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @ sk__2 @
% 0.56/0.95 sk__1)
% 0.56/0.95 | (zip_tseitin_3 @ X0 @ (sk__24 @ sk__2 @ sk__1) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('demod', [status(thm)],
% 0.56/0.95 [zip_derived_cl355, zip_derived_cl4, zip_derived_cl3])).
% 0.56/0.95 thf(zip_derived_cl349, plain,
% 0.56/0.95 ( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @ (sk__22 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)),
% 0.56/0.95 inference('clc', [status(thm)], [zip_derived_cl348, zip_derived_cl319])).
% 0.56/0.95 thf(zip_derived_cl350, plain,
% 0.56/0.95 (((sk__21 @ sk__2 @ sk__1) = (sk__22 @ sk__2 @ sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl349, zip_derived_cl88])).
% 0.56/0.95 thf(zip_derived_cl354, plain,
% 0.56/0.95 ( (zip_tseitin_0 @ (sk__23 @ sk__2 @ sk__1) @ (sk__21 @ sk__2 @ sk__1) @
% 0.56/0.95 (sk__21 @ sk__2 @ sk__1) @ sk__2 @ sk__1)),
% 0.56/0.95 inference('demod', [status(thm)], [zip_derived_cl349, zip_derived_cl350])).
% 0.56/0.95 thf(zip_derived_cl90, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.95 (((X1) = (X0)) | ~ (zip_tseitin_0 @ X0 @ X2 @ X1 @ X3 @ X4))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_8])).
% 0.56/0.95 thf(zip_derived_cl360, plain,
% 0.56/0.95 (((sk__21 @ sk__2 @ sk__1) = (sk__23 @ sk__2 @ sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl354, zip_derived_cl90])).
% 0.56/0.95 thf(zip_derived_cl92, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.95 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4) | ((X1) != (X0)))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.95 thf(zip_derived_cl189, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 (zip_tseitin_1 @ X3 @ X3 @ X2 @ X1 @ X0)),
% 0.56/0.95 inference('eq_res', [status(thm)], [zip_derived_cl92])).
% 0.56/0.95 thf(zip_derived_cl363, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 (zip_tseitin_3 @ X0 @ (sk__24 @ sk__2 @ sk__1) @ sk__2 @ sk__1)),
% 0.56/0.95 inference('demod', [status(thm)],
% 0.56/0.95 [zip_derived_cl356, zip_derived_cl360, zip_derived_cl189])).
% 0.56/0.95 thf(zip_derived_cl99, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 (~ (in @ X0 @ X1)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__20 @ X2 @ X3 @ X0) @ X0 @ X3 @ X2)
% 0.56/0.95 | ~ (zip_tseitin_3 @ X0 @ X1 @ X3 @ X2))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.95 thf(zip_derived_cl366, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 ( (zip_tseitin_2 @ (sk__20 @ sk__1 @ sk__2 @ X0) @ X0 @ sk__2 @ sk__1)
% 0.56/0.95 | ~ (in @ X0 @ (sk__24 @ sk__2 @ sk__1)))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl363, zip_derived_cl99])).
% 0.56/0.95 thf(zip_derived_cl373, plain,
% 0.56/0.95 (( (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @
% 0.56/0.95 (sk__20 @ sk__1 @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1))) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl366])).
% 0.56/0.95 thf(zip_derived_cl95, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 (((X1) = (X0)) | ~ (zip_tseitin_2 @ X1 @ X0 @ X2 @ X3))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.95 thf(zip_derived_cl375, plain,
% 0.56/0.95 (( (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | ((sk__20 @ sk__1 @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)))
% 0.56/0.95 = (sk__3 @ (sk__24 @ sk__2 @ sk__1))))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl373, zip_derived_cl95])).
% 0.56/0.95 thf(zip_derived_cl373, plain,
% 0.56/0.95 (( (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @
% 0.56/0.95 (sk__20 @ sk__1 @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1))) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl366])).
% 0.56/0.95 thf(zip_derived_cl381, plain,
% 0.56/0.95 (( (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('sup+', [status(thm)], [zip_derived_cl375, zip_derived_cl373])).
% 0.56/0.95 thf(zip_derived_cl382, plain,
% 0.56/0.95 ( (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)),
% 0.56/0.95 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 0.56/0.95 thf(zip_derived_cl98, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.56/0.95 (~ (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3)
% 0.56/0.95 | (in @ X1 @ X4)
% 0.56/0.95 | ~ (zip_tseitin_3 @ X1 @ X4 @ X2 @ X3))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.95 thf(zip_derived_cl386, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 (~ (zip_tseitin_3 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ X0 @ sk__2 @
% 0.56/0.95 sk__1)
% 0.56/0.95 | (in @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ X0))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl382, zip_derived_cl98])).
% 0.56/0.95 thf(zip_derived_cl2, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 (~ (in @ (relation_image @ sk__2 @ (sk__3 @ X0)) @ sk__1)
% 0.56/0.95 | ~ (in @ (sk__3 @ X0) @ (powerset @ (relation_dom @ sk__2)))
% 0.56/0.95 | ~ (in @ (sk__3 @ X0) @ X0))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.95 thf(zip_derived_cl399, plain,
% 0.56/0.95 ((~ (zip_tseitin_3 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__24 @ sk__2 @ sk__1) @ sk__2 @ sk__1)
% 0.56/0.95 | ~ (in @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (powerset @ (relation_dom @ sk__2)))
% 0.56/0.95 | ~ (in @
% 0.56/0.95 (relation_image @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1))) @
% 0.56/0.95 sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl386, zip_derived_cl2])).
% 0.56/0.95 thf(zip_derived_cl363, plain,
% 0.56/0.95 (![X0 : $i]:
% 0.56/0.95 (zip_tseitin_3 @ X0 @ (sk__24 @ sk__2 @ sk__1) @ sk__2 @ sk__1)),
% 0.56/0.95 inference('demod', [status(thm)],
% 0.56/0.95 [zip_derived_cl356, zip_derived_cl360, zip_derived_cl189])).
% 0.56/0.95 thf(zip_derived_cl382, plain,
% 0.56/0.95 ( (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)),
% 0.56/0.95 inference('simplify', [status(thm)], [zip_derived_cl381])).
% 0.56/0.95 thf(zip_derived_cl96, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 ( (in @ X0 @ (powerset @ (relation_dom @ X1)))
% 0.56/0.95 | ~ (zip_tseitin_2 @ X0 @ X2 @ X1 @ X3))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.95 thf(zip_derived_cl385, plain,
% 0.56/0.95 ( (in @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (powerset @ (relation_dom @ sk__2)))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl382, zip_derived_cl96])).
% 0.56/0.95 thf(zip_derived_cl373, plain,
% 0.56/0.95 (( (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (zip_tseitin_2 @
% 0.56/0.95 (sk__20 @ sk__1 @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1))) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl366])).
% 0.56/0.95 thf(zip_derived_cl94, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 ( (in @ (relation_image @ X0 @ X1) @ X2)
% 0.56/0.95 | ~ (zip_tseitin_2 @ X3 @ X1 @ X0 @ X2))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.95 thf(zip_derived_cl374, plain,
% 0.56/0.95 (( (zip_tseitin_2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @
% 0.56/0.95 (sk__3 @ (sk__24 @ sk__2 @ sk__1)) @ sk__2 @ sk__1)
% 0.56/0.95 | (in @
% 0.56/0.95 (relation_image @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1))) @
% 0.56/0.95 sk__1))),
% 0.56/0.95 inference('sup-', [status(thm)], [zip_derived_cl373, zip_derived_cl94])).
% 0.56/0.95 thf(zip_derived_cl94, plain,
% 0.56/0.95 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.56/0.95 ( (in @ (relation_image @ X0 @ X1) @ X2)
% 0.56/0.95 | ~ (zip_tseitin_2 @ X3 @ X1 @ X0 @ X2))),
% 0.56/0.95 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.95 thf(zip_derived_cl378, plain,
% 0.56/0.95 ( (in @ (relation_image @ sk__2 @ (sk__3 @ (sk__24 @ sk__2 @ sk__1))) @
% 0.56/0.95 sk__1)),
% 0.56/0.95 inference('clc', [status(thm)], [zip_derived_cl374, zip_derived_cl94])).
% 0.56/0.95 thf(zip_derived_cl401, plain, ($false),
% 0.56/0.95 inference('demod', [status(thm)],
% 0.56/0.95 [zip_derived_cl399, zip_derived_cl363, zip_derived_cl385,
% 0.56/0.95 zip_derived_cl378])).
% 0.56/0.95
% 0.56/0.95 % SZS output end Refutation
% 0.56/0.95
% 0.56/0.95
% 0.56/0.95 % Terminating...
% 0.57/1.16 % Runner terminated.
% 0.57/1.19 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------