%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU166+3 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6kSP6ZlHks true
% Computer : n002.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 66.03s 21.17s
% Output : Refutation 66.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.08 % Problem : SEU166+3 : TPTP v9.2.0. Released v3.2.0.
% 0.15/1.19 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.6kSP6ZlHks true
% 0.15/1.63 % Computer : n002.cluster.edu
% 0.15/1.63 % Model : x86_64 x86_64
% 0.15/1.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/1.63 % Memory : 8042.1875MB
% 0.15/1.63 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/1.63 % CPULimit : 300
% 0.15/1.63 % WCLimit : 300
% 0.15/1.63 % DateTime : Wed Oct 1 16:14:54 EDT 2025
% 0.21/1.65 % CPUTime :
% 0.21/1.65 % Running portfolio for 300 s
% 0.21/1.65 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/1.67 % Number of cores: 8
% 0.21/1.68 % Python version: Python 3.6.8
% 0.21/1.71 % Running in FO mode
% 0.51/2.48 % Total configuration time : 435
% 0.51/2.48 % Estimated wc time : 1092
% 0.51/2.48 % Estimated cpu time (7 cpus) : 156.0
% 0.52/2.85 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 1.37/2.89 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.37/2.91 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.37/2.93 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 1.37/2.93 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.37/2.95 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.37/2.96 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 66.03/21.17 % Solved by fo/fo4.sh.
% 66.03/21.17 % done 1214 iterations in 18.098s
% 66.03/21.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 66.03/21.17 % SZS output start Refutation
% 66.03/21.17 thf(sk__5_type, type, sk__5: $i > $i > $i).
% 66.03/21.17 thf(sk__10_type, type, sk__10: $i).
% 66.03/21.17 thf(sk__4_type, type, sk__4: $i > $i > $i > $i).
% 66.03/21.17 thf(sk__3_type, type, sk__3: $i > $i > $i > $i).
% 66.03/21.17 thf(in_type, type, in: $i > $i > $o).
% 66.03/21.17 thf(subset_type, type, subset: $i > $i > $o).
% 66.03/21.17 thf(sk__9_type, type, sk__9: $i).
% 66.03/21.17 thf(sk__8_type, type, sk__8: $i).
% 66.03/21.17 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 66.03/21.17 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 66.03/21.17 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 66.03/21.17 thf(t118_zfmisc_1, conjecture,
% 66.03/21.17 (![A:$i,B:$i,C:$i]:
% 66.03/21.17 ( ( subset @ A @ B ) =>
% 66.03/21.17 ( ( subset @
% 66.03/21.17 ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ C ) ) &
% 66.03/21.17 ( subset @
% 66.03/21.17 ( cartesian_product2 @ C @ A ) @ ( cartesian_product2 @ C @ B ) ) ) ))).
% 66.03/21.17 thf(zf_stmt_0, negated_conjecture,
% 66.03/21.17 (~( ![A:$i,B:$i,C:$i]:
% 66.03/21.17 ( ( subset @ A @ B ) =>
% 66.03/21.17 ( ( subset @
% 66.03/21.17 ( cartesian_product2 @ A @ C ) @ ( cartesian_product2 @ B @ C ) ) &
% 66.03/21.17 ( subset @
% 66.03/21.17 ( cartesian_product2 @ C @ A ) @ ( cartesian_product2 @ C @ B ) ) ) ) )),
% 66.03/21.17 inference('cnf.neg', [status(esa)], [t118_zfmisc_1])).
% 66.03/21.17 thf(zip_derived_cl18, plain,
% 66.03/21.17 ((~ (subset @ (cartesian_product2 @ sk__8 @ sk__10) @
% 66.03/21.17 (cartesian_product2 @ sk__9 @ sk__10))
% 66.03/21.17 | ~ (subset @ (cartesian_product2 @ sk__10 @ sk__8) @
% 66.03/21.17 (cartesian_product2 @ sk__10 @ sk__9)))),
% 66.03/21.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 66.03/21.17 thf(d3_tarski, axiom,
% 66.03/21.17 (![A:$i,B:$i]:
% 66.03/21.17 ( ( subset @ A @ B ) <=> ( ![C:$i]: ( ( in @ C @ A ) => ( in @ C @ B ) ) ) ))).
% 66.03/21.17 thf(zip_derived_cl11, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i]:
% 66.03/21.17 ( (subset @ X0 @ X1) | ~ (in @ (sk__5 @ X1 @ X0) @ X1))),
% 66.03/21.17 inference('cnf', [status(esa)], [d3_tarski])).
% 66.03/21.17 thf(zip_derived_cl19, plain, ( (subset @ sk__8 @ sk__9)),
% 66.03/21.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 66.03/21.17 thf(zip_derived_cl12, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i]:
% 66.03/21.17 ( (subset @ X0 @ X1) | (in @ (sk__5 @ X1 @ X0) @ X0))),
% 66.03/21.17 inference('cnf', [status(esa)], [d3_tarski])).
% 66.03/21.17 thf(d2_zfmisc_1, axiom,
% 66.03/21.17 (![A:$i,B:$i,C:$i]:
% 66.03/21.17 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 66.03/21.17 ( ![D:$i]:
% 66.03/21.17 ( ( in @ D @ C ) <=>
% 66.03/21.17 ( ?[E:$i,F:$i]:
% 66.03/21.17 ( ( in @ E @ A ) & ( in @ F @ B ) &
% 66.03/21.17 ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ))).
% 66.03/21.17 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 66.03/21.17 thf(zf_stmt_2, axiom,
% 66.03/21.17 (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 66.03/21.17 ( ( zip_tseitin_0 @ F @ E @ D @ B @ A ) <=>
% 66.03/21.17 ( ( ( D ) = ( ordered_pair @ E @ F ) ) & ( in @ F @ B ) & ( in @ E @ A ) ) ))).
% 66.03/21.17 thf(zf_stmt_3, axiom,
% 66.03/21.17 (![A:$i,B:$i,C:$i]:
% 66.03/21.17 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 66.03/21.17 ( ![D:$i]:
% 66.03/21.17 ( ( in @ D @ C ) <=>
% 66.03/21.17 ( ?[E:$i,F:$i]: ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ) ))).
% 66.03/21.17 thf(zip_derived_cl7, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 66.03/21.17 (~ (in @ X0 @ X1)
% 66.03/21.17 | (zip_tseitin_0 @ (sk__4 @ X0 @ X2 @ X3) @
% 66.03/21.17 (sk__3 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 66.03/21.17 | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 66.03/21.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 66.03/21.17 thf(zip_derived_cl42, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 66.03/21.17 ( (subset @ X0 @ X1)
% 66.03/21.17 | ((X0) != (cartesian_product2 @ X3 @ X2))
% 66.03/21.17 | (zip_tseitin_0 @ (sk__4 @ (sk__5 @ X1 @ X0) @ X2 @ X3) @
% 66.03/21.17 (sk__3 @ (sk__5 @ X1 @ X0) @ X2 @ X3) @ (sk__5 @ X1 @ X0) @ X2 @
% 66.03/21.17 X3))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 66.03/21.17 thf(zip_derived_cl110, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 ( (zip_tseitin_0 @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0)
% 66.03/21.17 | (subset @ (cartesian_product2 @ X0 @ X1) @ X2))),
% 66.03/21.17 inference('eq_res', [status(thm)], [zip_derived_cl42])).
% 66.03/21.17 thf(zip_derived_cl3, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 66.03/21.17 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4))),
% 66.03/21.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 66.03/21.17 thf(zip_derived_cl2130, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 66.03/21.17 | (in @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 X1))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl3])).
% 66.03/21.17 thf(zip_derived_cl10, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 (~ (in @ X0 @ X1) | (in @ X0 @ X2) | ~ (subset @ X1 @ X2))),
% 66.03/21.17 inference('cnf', [status(esa)], [d3_tarski])).
% 66.03/21.17 thf(zip_derived_cl2136, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ X1 @ X0) @ X2)
% 66.03/21.17 | ~ (subset @ X0 @ X3)
% 66.03/21.17 | (in @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @ X0 @ X1) @
% 66.03/21.17 X3))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl2130, zip_derived_cl10])).
% 66.03/21.17 thf(zip_derived_cl2187, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i]:
% 66.03/21.17 ( (in @
% 66.03/21.17 (sk__4 @ (sk__5 @ X1 @ (cartesian_product2 @ X0 @ sk__8)) @
% 66.03/21.17 sk__8 @ X0) @
% 66.03/21.17 sk__9)
% 66.03/21.17 | (subset @ (cartesian_product2 @ X0 @ sk__8) @ X1))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl2136])).
% 66.03/21.17 thf(zip_derived_cl110, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 ( (zip_tseitin_0 @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0)
% 66.03/21.17 | (subset @ (cartesian_product2 @ X0 @ X1) @ X2))),
% 66.03/21.17 inference('eq_res', [status(thm)], [zip_derived_cl42])).
% 66.03/21.17 thf(zip_derived_cl4, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 66.03/21.17 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1))),
% 66.03/21.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 66.03/21.17 thf(zip_derived_cl2131, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 66.03/21.17 | (in @
% 66.03/21.17 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 X0))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl4])).
% 66.03/21.17 thf(zip_derived_cl110, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 ( (zip_tseitin_0 @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0)
% 66.03/21.17 | (subset @ (cartesian_product2 @ X0 @ X1) @ X2))),
% 66.03/21.17 inference('eq_res', [status(thm)], [zip_derived_cl42])).
% 66.03/21.17 thf(zip_derived_cl2, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 66.03/21.17 (((X2) = (ordered_pair @ X0 @ X1))
% 66.03/21.17 | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 66.03/21.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 66.03/21.17 thf(zip_derived_cl2129, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 66.03/21.17 | ((sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1))
% 66.03/21.17 = (ordered_pair @
% 66.03/21.17 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @
% 66.03/21.17 X0) @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @
% 66.03/21.17 X0))))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl2])).
% 66.03/21.17 thf(zip_derived_cl5, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 66.03/21.17 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 66.03/21.17 | ~ (in @ X1 @ X4)
% 66.03/21.17 | ~ (in @ X0 @ X3)
% 66.03/21.17 | ((X2) != (ordered_pair @ X1 @ X0)))),
% 66.03/21.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 66.03/21.17 thf(zip_derived_cl6, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 66.03/21.17 (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 66.03/21.17 | (in @ X2 @ X5)
% 66.03/21.17 | ((X5) != (cartesian_product2 @ X4 @ X3)))),
% 66.03/21.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 66.03/21.17 thf(zip_derived_cl40, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 66.03/21.17 (((X2) != (ordered_pair @ X3 @ X4))
% 66.03/21.17 | ~ (in @ X4 @ X1)
% 66.03/21.17 | ~ (in @ X3 @ X0)
% 66.03/21.17 | ((X5) != (cartesian_product2 @ X0 @ X1))
% 66.03/21.17 | (in @ X2 @ X5))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 66.03/21.17 thf(zip_derived_cl72, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 66.03/21.17 ( (in @ (ordered_pair @ X2 @ X1) @ X0)
% 66.03/21.17 | ((X0) != (cartesian_product2 @ X4 @ X3))
% 66.03/21.17 | ~ (in @ X2 @ X4)
% 66.03/21.17 | ~ (in @ X1 @ X3))),
% 66.03/21.17 inference('eq_res', [status(thm)], [zip_derived_cl40])).
% 66.03/21.17 thf(zip_derived_cl73, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 66.03/21.17 (~ (in @ X1 @ X0)
% 66.03/21.17 | ~ (in @ X3 @ X2)
% 66.03/21.17 | (in @ (ordered_pair @ X3 @ X1) @ (cartesian_product2 @ X2 @ X0)))),
% 66.03/21.17 inference('eq_res', [status(thm)], [zip_derived_cl72])).
% 66.03/21.17 thf(zip_derived_cl15542, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 66.03/21.17 ( (in @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @
% 66.03/21.17 (cartesian_product2 @ X4 @ X3))
% 66.03/21.17 | (subset @ (cartesian_product2 @ X1 @ X0) @ X2)
% 66.03/21.17 | ~ (in @
% 66.03/21.17 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @ X0 @ X1) @
% 66.03/21.17 X4)
% 66.03/21.17 | ~ (in @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @ X0 @ X1) @
% 66.03/21.17 X3))),
% 66.03/21.17 inference('sup+', [status(thm)], [zip_derived_cl2129, zip_derived_cl73])).
% 66.03/21.17 thf(zip_derived_cl15626, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 66.03/21.17 | ~ (in @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 X3)
% 66.03/21.17 | (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 66.03/21.17 | (in @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @
% 66.03/21.17 (cartesian_product2 @ X0 @ X3)))),
% 66.03/21.17 inference('sup-', [status(thm)],
% 66.03/21.17 [zip_derived_cl2131, zip_derived_cl15542])).
% 66.03/21.17 thf(zip_derived_cl15628, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 66.03/21.17 ( (in @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @
% 66.03/21.17 (cartesian_product2 @ X0 @ X3))
% 66.03/21.17 | ~ (in @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 X3)
% 66.03/21.17 | (subset @ (cartesian_product2 @ X0 @ X1) @ X2))),
% 66.03/21.17 inference('simplify', [status(thm)], [zip_derived_cl15626])).
% 66.03/21.17 thf(zip_derived_cl15631, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ X0 @ sk__8) @ X1)
% 66.03/21.17 | (subset @ (cartesian_product2 @ X0 @ sk__8) @ X1)
% 66.03/21.17 | (in @ (sk__5 @ X1 @ (cartesian_product2 @ X0 @ sk__8)) @
% 66.03/21.17 (cartesian_product2 @ X0 @ sk__9)))),
% 66.03/21.17 inference('sup-', [status(thm)],
% 66.03/21.17 [zip_derived_cl2187, zip_derived_cl15628])).
% 66.03/21.17 thf(zip_derived_cl15633, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i]:
% 66.03/21.17 ( (in @ (sk__5 @ X1 @ (cartesian_product2 @ X0 @ sk__8)) @
% 66.03/21.17 (cartesian_product2 @ X0 @ sk__9))
% 66.03/21.17 | (subset @ (cartesian_product2 @ X0 @ sk__8) @ X1))),
% 66.03/21.17 inference('simplify', [status(thm)], [zip_derived_cl15631])).
% 66.03/21.17 thf(zip_derived_cl17044, plain,
% 66.03/21.17 (![X0 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ X0 @ sk__8) @
% 66.03/21.17 (cartesian_product2 @ X0 @ sk__9))
% 66.03/21.17 | (subset @ (cartesian_product2 @ X0 @ sk__8) @
% 66.03/21.17 (cartesian_product2 @ X0 @ sk__9)))),
% 66.03/21.17 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl15633])).
% 66.03/21.17 thf(zip_derived_cl17045, plain,
% 66.03/21.17 (![X0 : $i]:
% 66.03/21.17 (subset @ (cartesian_product2 @ X0 @ sk__8) @
% 66.03/21.17 (cartesian_product2 @ X0 @ sk__9))),
% 66.03/21.17 inference('simplify', [status(thm)], [zip_derived_cl17044])).
% 66.03/21.17 thf(zip_derived_cl17047, plain,
% 66.03/21.17 (~ (subset @ (cartesian_product2 @ sk__8 @ sk__10) @
% 66.03/21.17 (cartesian_product2 @ sk__9 @ sk__10))),
% 66.03/21.17 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl17045])).
% 66.03/21.17 thf(zip_derived_cl11, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i]:
% 66.03/21.17 ( (subset @ X0 @ X1) | ~ (in @ (sk__5 @ X1 @ X0) @ X1))),
% 66.03/21.17 inference('cnf', [status(esa)], [d3_tarski])).
% 66.03/21.17 thf(zip_derived_cl2130, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 66.03/21.17 | (in @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 X1))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl3])).
% 66.03/21.17 thf(zip_derived_cl19, plain, ( (subset @ sk__8 @ sk__9)),
% 66.03/21.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 66.03/21.17 thf(zip_derived_cl2131, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 66.03/21.17 | (in @
% 66.03/21.17 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 X0))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl4])).
% 66.03/21.17 thf(zip_derived_cl10, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 (~ (in @ X0 @ X1) | (in @ X0 @ X2) | ~ (subset @ X1 @ X2))),
% 66.03/21.17 inference('cnf', [status(esa)], [d3_tarski])).
% 66.03/21.17 thf(zip_derived_cl2190, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 66.03/21.17 | ~ (subset @ X0 @ X3)
% 66.03/21.17 | (in @
% 66.03/21.17 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @ X0) @
% 66.03/21.17 X3))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl2131, zip_derived_cl10])).
% 66.03/21.17 thf(zip_derived_cl2241, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i]:
% 66.03/21.17 ( (in @
% 66.03/21.17 (sk__3 @ (sk__5 @ X1 @ (cartesian_product2 @ sk__8 @ X0)) @ X0 @
% 66.03/21.17 sk__8) @
% 66.03/21.17 sk__9)
% 66.03/21.17 | (subset @ (cartesian_product2 @ sk__8 @ X0) @ X1))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl2190])).
% 66.03/21.17 thf(zip_derived_cl2129, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ X0 @ X1) @ X2)
% 66.03/21.17 | ((sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1))
% 66.03/21.17 = (ordered_pair @
% 66.03/21.17 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @
% 66.03/21.17 X0) @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X0 @ X1)) @ X1 @
% 66.03/21.17 X0))))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl110, zip_derived_cl2])).
% 66.03/21.17 thf(zip_derived_cl40, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 66.03/21.17 (((X2) != (ordered_pair @ X3 @ X4))
% 66.03/21.17 | ~ (in @ X4 @ X1)
% 66.03/21.17 | ~ (in @ X3 @ X0)
% 66.03/21.17 | ((X5) != (cartesian_product2 @ X0 @ X1))
% 66.03/21.17 | (in @ X2 @ X5))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 66.03/21.17 thf(zip_derived_cl15541, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 66.03/21.17 (((X3) != (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)))
% 66.03/21.17 | (subset @ (cartesian_product2 @ X1 @ X0) @ X2)
% 66.03/21.17 | (in @ X3 @ X4)
% 66.03/21.17 | ((X4) != (cartesian_product2 @ X6 @ X5))
% 66.03/21.17 | ~ (in @
% 66.03/21.17 (sk__3 @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @ X0 @ X1) @
% 66.03/21.17 X6)
% 66.03/21.17 | ~ (in @
% 66.03/21.17 (sk__4 @ (sk__5 @ X2 @ (cartesian_product2 @ X1 @ X0)) @ X0 @ X1) @
% 66.03/21.17 X5))),
% 66.03/21.17 inference('sup-', [status(thm)], [zip_derived_cl2129, zip_derived_cl40])).
% 66.03/21.17 thf(zip_derived_cl15635, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ sk__8 @ X0) @ X1)
% 66.03/21.17 | ~ (in @
% 66.03/21.17 (sk__4 @ (sk__5 @ X1 @ (cartesian_product2 @ sk__8 @ X0)) @
% 66.03/21.17 X0 @ sk__8) @
% 66.03/21.17 X2)
% 66.03/21.17 | ((X3) != (cartesian_product2 @ sk__9 @ X2))
% 66.03/21.17 | (in @ X4 @ X3)
% 66.03/21.17 | (subset @ (cartesian_product2 @ sk__8 @ X0) @ X1)
% 66.03/21.17 | ((X4) != (sk__5 @ X1 @ (cartesian_product2 @ sk__8 @ X0))))),
% 66.03/21.17 inference('sup-', [status(thm)],
% 66.03/21.17 [zip_derived_cl2241, zip_derived_cl15541])).
% 66.03/21.17 thf(zip_derived_cl15638, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 66.03/21.17 (((X4) != (sk__5 @ X1 @ (cartesian_product2 @ sk__8 @ X0)))
% 66.03/21.17 | (in @ X4 @ X3)
% 66.03/21.17 | ((X3) != (cartesian_product2 @ sk__9 @ X2))
% 66.03/21.17 | ~ (in @
% 66.03/21.17 (sk__4 @ (sk__5 @ X1 @ (cartesian_product2 @ sk__8 @ X0)) @
% 66.03/21.17 X0 @ sk__8) @
% 66.03/21.17 X2)
% 66.03/21.17 | (subset @ (cartesian_product2 @ sk__8 @ X0) @ X1))),
% 66.03/21.17 inference('simplify', [status(thm)], [zip_derived_cl15635])).
% 66.03/21.17 thf(zip_derived_cl15647, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ sk__8 @ X0) @ X1)
% 66.03/21.17 | (subset @ (cartesian_product2 @ sk__8 @ X0) @ X1)
% 66.03/21.17 | ((X2) != (cartesian_product2 @ sk__9 @ X0))
% 66.03/21.17 | (in @ X3 @ X2)
% 66.03/21.17 | ((X3) != (sk__5 @ X1 @ (cartesian_product2 @ sk__8 @ X0))))),
% 66.03/21.17 inference('sup-', [status(thm)],
% 66.03/21.17 [zip_derived_cl2130, zip_derived_cl15638])).
% 66.03/21.17 thf(zip_derived_cl15650, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 66.03/21.17 (((X3) != (sk__5 @ X1 @ (cartesian_product2 @ sk__8 @ X0)))
% 66.03/21.17 | (in @ X3 @ X2)
% 66.03/21.17 | ((X2) != (cartesian_product2 @ sk__9 @ X0))
% 66.03/21.17 | (subset @ (cartesian_product2 @ sk__8 @ X0) @ X1))),
% 66.03/21.17 inference('simplify', [status(thm)], [zip_derived_cl15647])).
% 66.03/21.17 thf(zip_derived_cl15652, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ sk__8 @ X1) @ X0)
% 66.03/21.17 | ((X2) != (cartesian_product2 @ sk__9 @ X1))
% 66.03/21.17 | (in @ (sk__5 @ X0 @ (cartesian_product2 @ sk__8 @ X1)) @ X2))),
% 66.03/21.17 inference('eq_res', [status(thm)], [zip_derived_cl15650])).
% 66.03/21.17 thf(zip_derived_cl15654, plain,
% 66.03/21.17 (![X0 : $i, X1 : $i]:
% 66.03/21.17 ( (in @ (sk__5 @ X1 @ (cartesian_product2 @ sk__8 @ X0)) @
% 66.03/21.17 (cartesian_product2 @ sk__9 @ X0))
% 66.03/21.17 | (subset @ (cartesian_product2 @ sk__8 @ X0) @ X1))),
% 66.03/21.17 inference('eq_res', [status(thm)], [zip_derived_cl15652])).
% 66.03/21.17 thf(zip_derived_cl17713, plain,
% 66.03/21.17 (![X0 : $i]:
% 66.03/21.17 ( (subset @ (cartesian_product2 @ sk__8 @ X0) @
% 66.03/21.17 (cartesian_product2 @ sk__9 @ X0))
% 66.03/21.17 | (subset @ (cartesian_product2 @ sk__8 @ X0) @
% 66.03/21.17 (cartesian_product2 @ sk__9 @ X0)))),
% 66.03/21.17 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl15654])).
% 66.03/21.17 thf(zip_derived_cl17714, plain,
% 66.03/21.17 (![X0 : $i]:
% 66.03/21.17 (subset @ (cartesian_product2 @ sk__8 @ X0) @
% 66.03/21.17 (cartesian_product2 @ sk__9 @ X0))),
% 66.03/21.17 inference('simplify', [status(thm)], [zip_derived_cl17713])).
% 66.03/21.17 thf(zip_derived_cl17716, plain, ($false),
% 66.03/21.17 inference('demod', [status(thm)],
% 66.03/21.17 [zip_derived_cl17047, zip_derived_cl17714])).
% 66.03/21.17
% 66.03/21.17 % SZS output end Refutation
% 66.03/21.17
% 66.03/21.17
% 66.03/21.17 % Terminating...
% 66.42/21.39 % Runner terminated.
% 66.45/21.41 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------