%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU166+2 : 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.bluFXf5egy true
% Computer : n029.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 04:53:41 PM UTC 2025
% Result : Theorem 43.12s 13.50s
% Output : Refutation 43.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.11 % Problem : SEU166+2 : TPTP v9.2.0. Released v3.3.0.
% 0.12/1.23 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.bluFXf5egy true
% 0.14/1.66 % Computer : n029.cluster.edu
% 0.14/1.66 % Model : x86_64 x86_64
% 0.14/1.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.66 % Memory : 8042.1875MB
% 0.14/1.66 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/1.66 % CPULimit : 300
% 0.14/1.66 % WCLimit : 300
% 0.14/1.66 % DateTime : Wed Oct 1 16:03:39 EDT 2025
% 0.19/1.67 % CPUTime :
% 0.19/1.67 % Running portfolio for 300 s
% 0.19/1.67 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/1.69 % Number of cores: 8
% 0.19/1.70 % Python version: Python 3.6.8
% 0.19/1.72 % Running in FO mode
% 0.55/2.40 % Total configuration time : 435
% 0.55/2.40 % Estimated wc time : 1092
% 0.55/2.40 % Estimated cpu time (7 cpus) : 156.0
% 0.56/2.81 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/2.82 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.40/2.85 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.40/2.87 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.40/2.88 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.40/2.90 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.40/2.91 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 43.12/13.50 % Solved by fo/fo4.sh.
% 43.12/13.50 % done 1325 iterations in 10.439s
% 43.12/13.50 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 43.12/13.50 % SZS output start Refutation
% 43.12/13.50 thf(subset_type, type, subset: $i > $i > $o).
% 43.12/13.50 thf(sk__4_type, type, sk__4: $i > $i > $i > $i).
% 43.12/13.50 thf(sk__3_type, type, sk__3: $i > $i > $i > $i).
% 43.12/13.50 thf(sk__6_type, type, sk__6: $i).
% 43.12/13.50 thf(in_type, type, in: $i > $i > $o).
% 43.12/13.50 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 43.12/13.50 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 43.12/13.50 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 43.12/13.50 thf(sk__7_type, type, sk__7: $i).
% 43.12/13.50 thf(sk__8_type, type, sk__8: $i).
% 43.12/13.50 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 43.12/13.50 thf(t118_zfmisc_1, conjecture,
% 43.12/13.50 (![A:$i,B:$i,C:$i]:
% 43.12/13.50 ( ( subset @ A @ B ) =>
% 43.12/13.50 ( ( subset @
% 43.12/13.50 ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ C ) ) &
% 43.12/13.50 ( subset @
% 43.12/13.50 ( cartesian_product2 @ C @ A ) @ ( cartesian_product2 @ C @ B ) ) ) ))).
% 43.12/13.50 thf(zf_stmt_0, negated_conjecture,
% 43.12/13.50 (~( ![A:$i,B:$i,C:$i]:
% 43.12/13.50 ( ( subset @ A @ B ) =>
% 43.12/13.50 ( ( subset @
% 43.12/13.50 ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ C ) ) &
% 43.12/13.50 ( subset @
% 43.12/13.50 ( cartesian_product2 @ C @ A ) @ ( cartesian_product2 @ C @ B ) ) ) ) )),
% 43.12/13.50 inference('cnf.neg', [status(esa)], [t118_zfmisc_1])).
% 43.12/13.50 thf(zip_derived_cl22, plain,
% 43.12/13.50 ((~ (subset @ (cartesian_product2 @ sk__6 @ sk__8) @
% 43.12/13.50 (cartesian_product2 @ sk__7 @ sk__8))
% 43.12/13.50 | ~ (subset @ (cartesian_product2 @ sk__8 @ sk__6) @
% 43.12/13.50 (cartesian_product2 @ sk__8 @ sk__7)))),
% 43.12/13.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.12/13.50 thf(d3_tarski, axiom,
% 43.12/13.50 (![A:$i,B:$i]:
% 43.12/13.50 ( ( subset @ A @ B ) <=> ( ![C:$i]: ( ( in @ C @ A ) => ( in @ C @ B ) ) ) ))).
% 43.12/13.50 thf(zip_derived_cl12, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i]:
% 43.12/13.50 ( (subset @ X0 @ X1) | ~ (in @ (sk__5 @ X1 @ X0) @ X1))),
% 43.12/13.50 inference('cnf', [status(esa)], [d3_tarski])).
% 43.12/13.50 thf(zip_derived_cl23, plain, ( (subset @ sk__6 @ sk__7)),
% 43.12/13.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.12/13.50 thf(zip_derived_cl13, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i]:
% 43.12/13.50 ( (subset @ X0 @ X1) | (in @ (sk__5 @ X1 @ X0) @ X0))),
% 43.12/13.50 inference('cnf', [status(esa)], [d3_tarski])).
% 43.12/13.50 thf(d2_zfmisc_1, axiom,
% 43.12/13.50 (![A:$i,B:$i,C:$i]:
% 43.12/13.50 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 43.12/13.50 ( ![D:$i]:
% 43.12/13.50 ( ( in @ D @ C ) <=>
% 43.12/13.50 ( ?[E:$i,F:$i]:
% 43.12/13.50 ( ( in @ E @ A ) & ( in @ F @ B ) &
% 43.12/13.50 ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ))).
% 43.12/13.50 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 43.12/13.50 thf(zf_stmt_2, axiom,
% 43.12/13.50 (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 43.12/13.50 ( ( zip_tseitin_0 @ F @ E @ D @ B @ A ) <=>
% 43.12/13.50 ( ( ( D ) = ( ordered_pair @ E @ F ) ) & ( in @ F @ B ) & ( in @ E @ A ) ) ))).
% 43.12/13.50 thf(zf_stmt_3, axiom,
% 43.12/13.50 (![A:$i,B:$i,C:$i]:
% 43.12/13.50 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 43.12/13.50 ( ![D:$i]:
% 43.12/13.50 ( ( in @ D @ C ) <=>
% 43.12/13.50 ( ?[E:$i,F:$i]: ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ) ))).
% 43.12/13.50 thf(zip_derived_cl8, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 43.12/13.50 (~ (in @ X0 @ X1)
% 43.12/13.50 | (zip_tseitin_0 @ (sk__4 @ X0 @ X2 @ X3) @
% 43.12/13.50 (sk__3 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 43.12/13.50 | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 43.12/13.50 inference('cnf', [status(esa)], [zf_stmt_3])).
% 43.12/13.50 thf(zip_derived_cl113, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 43.12/13.50 ( (subset @ X0 @ X1)
% 43.12/13.50 | ((X0) != (cartesian_product2 @ X3 @ X2))
% 43.12/13.50 | (zip_tseitin_0 @ (sk__4 @ (sk__5 @ X1 @ X0) @ X2 @ X3) @
% 43.12/13.50 (sk__3 @ (sk__5 @ X1 @ X0) @ X2 @ X3) @ (sk__5 @ X1 @ X0) @ X2 @
% 43.12/13.50 X3))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl8])).
% 43.12/13.50 thf(zip_derived_cl165, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 ( (zip_tseitin_0 @
% 43.12/13.50 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0)
% 43.12/13.50 | (subset @ (cartesian_product2 @ X0 @ X1) @ X2))),
% 43.12/13.50 inference('eq_res', [status(thm)], [zip_derived_cl113])).
% 43.12/13.50 thf(zip_derived_cl4, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 43.12/13.50 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4))),
% 43.12/13.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.12/13.50 thf(zip_derived_cl1233, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 43.12/13.50 | (in @
% 43.12/13.50 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 X1))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl4])).
% 43.12/13.50 thf(zip_derived_cl11, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 (~ (in @ X0 @ X1) | (in @ X0 @ X2) | ~ (subset @ X1 @ X2))),
% 43.12/13.50 inference('cnf', [status(esa)], [d3_tarski])).
% 43.12/13.50 thf(zip_derived_cl1237, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ X1 @ X0) @ X2)
% 43.12/13.50 | ~ (subset @ X0 @ X3)
% 43.12/13.50 | (in @
% 43.12/13.50 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @ X0 @ X1) @
% 43.12/13.50 X3))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl1233, zip_derived_cl11])).
% 43.12/13.50 thf(zip_derived_cl1287, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i]:
% 43.12/13.50 ( (in @
% 43.12/13.50 (sk__4 @ (sk__5 @ X1 @ (cartesian_product2 @ X0 @ sk__6)) @
% 43.12/13.50 sk__6 @ X0) @
% 43.12/13.50 sk__7)
% 43.12/13.50 | (subset @ (cartesian_product2 @ X0 @ sk__6) @ X1))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl1237])).
% 43.12/13.50 thf(zip_derived_cl165, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 ( (zip_tseitin_0 @
% 43.12/13.50 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0)
% 43.12/13.50 | (subset @ (cartesian_product2 @ X0 @ X1) @ X2))),
% 43.12/13.50 inference('eq_res', [status(thm)], [zip_derived_cl113])).
% 43.12/13.50 thf(zip_derived_cl5, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 43.12/13.50 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1))),
% 43.12/13.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.12/13.50 thf(zip_derived_cl1234, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 43.12/13.50 | (in @
% 43.12/13.50 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 X0))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl5])).
% 43.12/13.50 thf(zip_derived_cl165, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 ( (zip_tseitin_0 @
% 43.12/13.50 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0)
% 43.12/13.50 | (subset @ (cartesian_product2 @ X0 @ X1) @ X2))),
% 43.12/13.50 inference('eq_res', [status(thm)], [zip_derived_cl113])).
% 43.12/13.50 thf(zip_derived_cl3, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 43.12/13.50 (((X2) = (ordered_pair @ X0 @ X1))
% 43.12/13.50 | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 43.12/13.50 inference('cnf', [status(esa)], [zf_stmt_2])).
% 43.12/13.50 thf(zip_derived_cl1232, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 43.12/13.50 | ((sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1))
% 43.12/13.50 = (ordered_pair @
% 43.12/13.50 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @
% 43.12/13.50 X0) @
% 43.12/13.50 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @
% 43.12/13.50 X0))))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl3])).
% 43.12/13.50 thf(l55_zfmisc_1, axiom,
% 43.12/13.50 (![A:$i,B:$i,C:$i,D:$i]:
% 43.12/13.50 ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) ) <=>
% 43.12/13.50 ( ( in @ A @ C ) & ( in @ B @ D ) ) ))).
% 43.12/13.50 thf(zip_derived_cl16, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 43.12/13.50 ( (in @ (ordered_pair @ X0 @ X1) @ (cartesian_product2 @ X2 @ X3))
% 43.12/13.50 | ~ (in @ X1 @ X3)
% 43.12/13.50 | ~ (in @ X0 @ X2))),
% 43.12/13.50 inference('cnf', [status(esa)], [l55_zfmisc_1])).
% 43.12/13.50 thf(zip_derived_cl4944, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 43.12/13.50 ( (in @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @
% 43.12/13.50 (cartesian_product2 @ X4 @ X3))
% 43.12/13.50 | (subset @ (cartesian_product2 @ X1 @ X0) @ X2)
% 43.12/13.50 | ~ (in @
% 43.12/13.50 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @ X0 @ X1) @
% 43.12/13.50 X4)
% 43.12/13.50 | ~ (in @
% 43.12/13.50 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @ X0 @ X1) @
% 43.12/13.50 X3))),
% 43.12/13.50 inference('sup+', [status(thm)], [zip_derived_cl1232, zip_derived_cl16])).
% 43.12/13.50 thf(zip_derived_cl4997, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 43.12/13.50 | ~ (in @
% 43.12/13.50 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 X3)
% 43.12/13.50 | (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 43.12/13.50 | (in @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @
% 43.12/13.50 (cartesian_product2 @ X0 @ X3)))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl1234, zip_derived_cl4944])).
% 43.12/13.50 thf(zip_derived_cl4999, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 43.12/13.50 ( (in @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @
% 43.12/13.50 (cartesian_product2 @ X0 @ X3))
% 43.12/13.50 | ~ (in @
% 43.12/13.50 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 X3)
% 43.12/13.50 | (subset @ (cartesian_product2 @ X0 @ X1) @ X2))),
% 43.12/13.50 inference('simplify', [status(thm)], [zip_derived_cl4997])).
% 43.12/13.50 thf(zip_derived_cl5002, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ X0 @ sk__6) @ X1)
% 43.12/13.50 | (subset @ (cartesian_product2 @ X0 @ sk__6) @ X1)
% 43.12/13.50 | (in @ (sk__5 @ X1 @ (cartesian_product2 @ X0 @ sk__6)) @
% 43.12/13.50 (cartesian_product2 @ X0 @ sk__7)))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl1287, zip_derived_cl4999])).
% 43.12/13.50 thf(zip_derived_cl5004, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i]:
% 43.12/13.50 ( (in @ (sk__5 @ X1 @ (cartesian_product2 @ X0 @ sk__6)) @
% 43.12/13.50 (cartesian_product2 @ X0 @ sk__7))
% 43.12/13.50 | (subset @ (cartesian_product2 @ X0 @ sk__6) @ X1))),
% 43.12/13.50 inference('simplify', [status(thm)], [zip_derived_cl5002])).
% 43.12/13.50 thf(zip_derived_cl5124, plain,
% 43.12/13.50 (![X0 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ X0 @ sk__6) @
% 43.12/13.50 (cartesian_product2 @ X0 @ sk__7))
% 43.12/13.50 | (subset @ (cartesian_product2 @ X0 @ sk__6) @
% 43.12/13.50 (cartesian_product2 @ X0 @ sk__7)))),
% 43.12/13.50 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl5004])).
% 43.12/13.50 thf(zip_derived_cl5125, plain,
% 43.12/13.50 (![X0 : $i]:
% 43.12/13.50 (subset @ (cartesian_product2 @ X0 @ sk__6) @
% 43.12/13.50 (cartesian_product2 @ X0 @ sk__7))),
% 43.12/13.50 inference('simplify', [status(thm)], [zip_derived_cl5124])).
% 43.12/13.50 thf(zip_derived_cl5129, plain,
% 43.12/13.50 (~ (subset @ (cartesian_product2 @ sk__6 @ sk__8) @
% 43.12/13.50 (cartesian_product2 @ sk__7 @ sk__8))),
% 43.12/13.50 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl5125])).
% 43.12/13.50 thf(zip_derived_cl12, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i]:
% 43.12/13.50 ( (subset @ X0 @ X1) | ~ (in @ (sk__5 @ X1 @ X0) @ X1))),
% 43.12/13.50 inference('cnf', [status(esa)], [d3_tarski])).
% 43.12/13.50 thf(zip_derived_cl1233, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 43.12/13.50 | (in @
% 43.12/13.50 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 X1))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl4])).
% 43.12/13.50 thf(zip_derived_cl23, plain, ( (subset @ sk__6 @ sk__7)),
% 43.12/13.50 inference('cnf', [status(esa)], [zf_stmt_0])).
% 43.12/13.50 thf(zip_derived_cl1234, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 43.12/13.50 | (in @
% 43.12/13.50 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 X0))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl5])).
% 43.12/13.50 thf(zip_derived_cl11, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 (~ (in @ X0 @ X1) | (in @ X0 @ X2) | ~ (subset @ X1 @ X2))),
% 43.12/13.50 inference('cnf', [status(esa)], [d3_tarski])).
% 43.12/13.50 thf(zip_derived_cl1293, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 43.12/13.50 | ~ (subset @ X0 @ X3)
% 43.12/13.50 | (in @
% 43.12/13.50 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 43.12/13.50 X3))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl1234, zip_derived_cl11])).
% 43.12/13.50 thf(zip_derived_cl1343, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i]:
% 43.12/13.50 ( (in @
% 43.12/13.50 (sk__3 @ (sk__5 @ X1 @ (cartesian_product2 @ sk__6 @ X0)) @ X0 @
% 43.12/13.50 sk__6) @
% 43.12/13.50 sk__7)
% 43.12/13.50 | (subset @ (cartesian_product2 @ sk__6 @ X0) @ X1))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl1293])).
% 43.12/13.50 thf(zip_derived_cl4944, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 43.12/13.50 ( (in @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @
% 43.12/13.50 (cartesian_product2 @ X4 @ X3))
% 43.12/13.50 | (subset @ (cartesian_product2 @ X1 @ X0) @ X2)
% 43.12/13.50 | ~ (in @
% 43.12/13.50 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @ X0 @ X1) @
% 43.12/13.50 X4)
% 43.12/13.50 | ~ (in @
% 43.12/13.50 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @ X0 @ X1) @
% 43.12/13.50 X3))),
% 43.12/13.50 inference('sup+', [status(thm)], [zip_derived_cl1232, zip_derived_cl16])).
% 43.12/13.50 thf(zip_derived_cl4998, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ sk__6 @ X0) @ X1)
% 43.12/13.50 | ~ (in @
% 43.12/13.50 (sk__4 @ (sk__5 @ X1 @ (cartesian_product2 @ sk__6 @ X0)) @
% 43.12/13.50 X0 @ sk__6) @
% 43.12/13.50 X2)
% 43.12/13.50 | (subset @ (cartesian_product2 @ sk__6 @ X0) @ X1)
% 43.12/13.50 | (in @ (sk__5 @ X1 @ (cartesian_product2 @ sk__6 @ X0)) @
% 43.12/13.50 (cartesian_product2 @ sk__7 @ X2)))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl1343, zip_derived_cl4944])).
% 43.12/13.50 thf(zip_derived_cl5000, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i, X2 : $i]:
% 43.12/13.50 ( (in @ (sk__5 @ X1 @ (cartesian_product2 @ sk__6 @ X0)) @
% 43.12/13.50 (cartesian_product2 @ sk__7 @ X2))
% 43.12/13.50 | ~ (in @
% 43.12/13.50 (sk__4 @ (sk__5 @ X1 @ (cartesian_product2 @ sk__6 @ X0)) @
% 43.12/13.50 X0 @ sk__6) @
% 43.12/13.50 X2)
% 43.12/13.50 | (subset @ (cartesian_product2 @ sk__6 @ X0) @ X1))),
% 43.12/13.50 inference('simplify', [status(thm)], [zip_derived_cl4998])).
% 43.12/13.50 thf(zip_derived_cl8690, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ sk__6 @ X0) @ X1)
% 43.12/13.50 | (subset @ (cartesian_product2 @ sk__6 @ X0) @ X1)
% 43.12/13.50 | (in @ (sk__5 @ X1 @ (cartesian_product2 @ sk__6 @ X0)) @
% 43.12/13.50 (cartesian_product2 @ sk__7 @ X0)))),
% 43.12/13.50 inference('sup-', [status(thm)], [zip_derived_cl1233, zip_derived_cl5000])).
% 43.12/13.50 thf(zip_derived_cl8694, plain,
% 43.12/13.50 (![X0 : $i, X1 : $i]:
% 43.12/13.50 ( (in @ (sk__5 @ X1 @ (cartesian_product2 @ sk__6 @ X0)) @
% 43.12/13.50 (cartesian_product2 @ sk__7 @ X0))
% 43.12/13.50 | (subset @ (cartesian_product2 @ sk__6 @ X0) @ X1))),
% 43.12/13.50 inference('simplify', [status(thm)], [zip_derived_cl8690])).
% 43.12/13.50 thf(zip_derived_cl8866, plain,
% 43.12/13.50 (![X0 : $i]:
% 43.12/13.50 ( (subset @ (cartesian_product2 @ sk__6 @ X0) @
% 43.12/13.50 (cartesian_product2 @ sk__7 @ X0))
% 43.12/13.50 | (subset @ (cartesian_product2 @ sk__6 @ X0) @
% 43.12/13.50 (cartesian_product2 @ sk__7 @ X0)))),
% 43.12/13.50 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl8694])).
% 43.12/13.50 thf(zip_derived_cl8871, plain,
% 43.12/13.50 (![X0 : $i]:
% 43.12/13.50 (subset @ (cartesian_product2 @ sk__6 @ X0) @
% 43.12/13.50 (cartesian_product2 @ sk__7 @ X0))),
% 43.12/13.50 inference('simplify', [status(thm)], [zip_derived_cl8866])).
% 43.12/13.50 thf(zip_derived_cl8964, plain, ($false),
% 43.12/13.50 inference('demod', [status(thm)],
% 43.12/13.50 [zip_derived_cl5129, zip_derived_cl8871])).
% 43.12/13.50
% 43.12/13.50 % SZS output end Refutation
% 43.12/13.50
% 43.12/13.50
% 43.12/13.50 % Terminating...
% 43.25/13.66 % Runner terminated.
% 43.28/13.70 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------