%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET955+1 : TPTP v9.2.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1tyEpfF3ks true
% Computer : n013.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 04:53:13 PM UTC 2025
% Result : Theorem 6.42s 1.51s
% Output : Refutation 6.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET955+1 : TPTP v9.2.0. Bugfixed v4.0.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1tyEpfF3ks true
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:15:08 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.13/0.35 % Running in FO mode
% 0.20/0.63 % Total configuration time : 435
% 0.20/0.63 % Estimated wc time : 1092
% 0.20/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.42/1.51 % Solved by fo/fo5.sh.
% 6.42/1.51 % done 306 iterations in 0.731s
% 6.42/1.51 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.42/1.51 % SZS output start Refutation
% 6.42/1.51 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 6.42/1.51 thf(sk__type, type, sk_: $i > $i > $i > $i).
% 6.42/1.51 thf(sk__8_type, type, sk__8: $i).
% 6.42/1.51 thf(sk__9_type, type, sk__9: $i).
% 6.42/1.51 thf(in_type, type, in: $i > $i > $o).
% 6.42/1.51 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 6.42/1.51 thf(sk__3_type, type, sk__3: $i > $i > $i > $i).
% 6.42/1.51 thf(sk__4_type, type, sk__4: $i > $i > $i > $i).
% 6.42/1.51 thf(sk__2_type, type, sk__2: $i > $i > $i > $i).
% 6.42/1.51 thf(sk__10_type, type, sk__10: $i).
% 6.42/1.51 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 6.42/1.51 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 6.42/1.51 thf(sk__7_type, type, sk__7: $i).
% 6.42/1.51 thf(d2_zfmisc_1, axiom,
% 6.42/1.51 (![A:$i,B:$i,C:$i]:
% 6.42/1.51 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 6.42/1.51 ( ![D:$i]:
% 6.42/1.51 ( ( in @ D @ C ) <=>
% 6.42/1.51 ( ?[E:$i,F:$i]:
% 6.42/1.51 ( ( in @ E @ A ) & ( in @ F @ B ) &
% 6.42/1.51 ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ))).
% 6.42/1.51 thf(zf_stmt_0, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 6.42/1.51 thf(zf_stmt_1, axiom,
% 6.42/1.51 (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 6.42/1.51 ( ( zip_tseitin_0 @ F @ E @ D @ B @ A ) <=>
% 6.42/1.51 ( ( ( D ) = ( ordered_pair @ E @ F ) ) & ( in @ F @ B ) & ( in @ E @ A ) ) ))).
% 6.42/1.51 thf(zf_stmt_2, axiom,
% 6.42/1.51 (![A:$i,B:$i,C:$i]:
% 6.42/1.51 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 6.42/1.51 ( ![D:$i]:
% 6.42/1.51 ( ( in @ D @ C ) <=>
% 6.42/1.51 ( ?[E:$i,F:$i]: ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ) ))).
% 6.42/1.51 thf(zip_derived_cl9, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.42/1.51 (((X2) = (cartesian_product2 @ X0 @ X1))
% 6.42/1.51 | (zip_tseitin_0 @ (sk__2 @ X2 @ X1 @ X0) @
% 6.42/1.51 (sk__1 @ X2 @ X1 @ X0) @ (sk_ @ X2 @ X1 @ X0) @ X1 @ X0)
% 6.42/1.51 | (in @ (sk_ @ X2 @ X1 @ X0) @ X2))),
% 6.42/1.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.42/1.51 thf(zip_derived_cl2, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.42/1.51 (((X2) = (ordered_pair @ X0 @ X1))
% 6.42/1.51 | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 6.42/1.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.42/1.51 thf(zip_derived_cl82, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.42/1.51 ( (in @ (sk_ @ X2 @ X1 @ X0) @ X2)
% 6.42/1.51 | ((X2) = (cartesian_product2 @ X0 @ X1))
% 6.42/1.51 | ((sk_ @ X2 @ X1 @ X0)
% 6.42/1.51 = (ordered_pair @ (sk__1 @ X2 @ X1 @ X0) @ (sk__2 @ X2 @ X1 @ X0))))),
% 6.42/1.51 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 6.42/1.51 thf(zip_derived_cl9, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.42/1.51 (((X2) = (cartesian_product2 @ X0 @ X1))
% 6.42/1.51 | (zip_tseitin_0 @ (sk__2 @ X2 @ X1 @ X0) @
% 6.42/1.51 (sk__1 @ X2 @ X1 @ X0) @ (sk_ @ X2 @ X1 @ X0) @ X1 @ X0)
% 6.42/1.51 | (in @ (sk_ @ X2 @ X1 @ X0) @ X2))),
% 6.42/1.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.42/1.51 thf(zip_derived_cl6, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 6.42/1.51 (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 6.42/1.51 | (in @ X2 @ X5)
% 6.42/1.51 | ((X5) != (cartesian_product2 @ X4 @ X3)))),
% 6.42/1.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.42/1.51 thf(zip_derived_cl57, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.42/1.51 ( (in @ X2 @ (cartesian_product2 @ X1 @ X0))
% 6.42/1.51 | ~ (zip_tseitin_0 @ X4 @ X3 @ X2 @ X0 @ X1))),
% 6.42/1.51 inference('eq_res', [status(thm)], [zip_derived_cl6])).
% 6.42/1.51 thf(zip_derived_cl85, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.42/1.51 ( (in @ (sk_ @ X2 @ X1 @ X0) @ X2)
% 6.42/1.51 | ((X2) = (cartesian_product2 @ X0 @ X1))
% 6.42/1.51 | (in @ (sk_ @ X2 @ X1 @ X0) @ (cartesian_product2 @ X0 @ X1)))),
% 6.42/1.51 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl57])).
% 6.42/1.51 thf(zip_derived_cl82, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.42/1.51 ( (in @ (sk_ @ X2 @ X1 @ X0) @ X2)
% 6.42/1.51 | ((X2) = (cartesian_product2 @ X0 @ X1))
% 6.42/1.51 | ((sk_ @ X2 @ X1 @ X0)
% 6.42/1.51 = (ordered_pair @ (sk__1 @ X2 @ X1 @ X0) @ (sk__2 @ X2 @ X1 @ X0))))),
% 6.42/1.51 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl2])).
% 6.42/1.51 thf(t108_zfmisc_1, conjecture,
% 6.42/1.51 (![A:$i,B:$i,C:$i,D:$i]:
% 6.42/1.51 ( ( ![E:$i,F:$i]:
% 6.42/1.51 ( ( in @ ( ordered_pair @ E @ F ) @ ( cartesian_product2 @ A @ B ) ) <=>
% 6.42/1.51 ( in @ ( ordered_pair @ E @ F ) @ ( cartesian_product2 @ C @ D ) ) ) ) =>
% 6.42/1.51 ( ( cartesian_product2 @ A @ B ) = ( cartesian_product2 @ C @ D ) ) ))).
% 6.42/1.51 thf(zf_stmt_3, negated_conjecture,
% 6.42/1.51 (~( ![A:$i,B:$i,C:$i,D:$i]:
% 6.42/1.51 ( ( ![E:$i,F:$i]:
% 6.42/1.51 ( ( in @ ( ordered_pair @ E @ F ) @ ( cartesian_product2 @ A @ B ) ) <=>
% 6.42/1.51 ( in @ ( ordered_pair @ E @ F ) @ ( cartesian_product2 @ C @ D ) ) ) ) =>
% 6.42/1.51 ( ( cartesian_product2 @ A @ B ) = ( cartesian_product2 @ C @ D ) ) ) )),
% 6.42/1.51 inference('cnf.neg', [status(esa)], [t108_zfmisc_1])).
% 6.42/1.51 thf(zip_derived_cl14, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i]:
% 6.42/1.51 ( (in @ (ordered_pair @ X0 @ X1) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8))
% 6.42/1.51 | ~ (in @ (ordered_pair @ X0 @ X1) @
% 6.42/1.51 (cartesian_product2 @ sk__9 @ sk__10)))),
% 6.42/1.51 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.42/1.51 thf(zip_derived_cl655, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.42/1.51 (~ (in @ (sk_ @ X2 @ X1 @ X0) @ (cartesian_product2 @ sk__9 @ sk__10))
% 6.42/1.51 | ((X2) = (cartesian_product2 @ X0 @ X1))
% 6.42/1.51 | (in @ (sk_ @ X2 @ X1 @ X0) @ X2)
% 6.42/1.51 | (in @
% 6.42/1.51 (ordered_pair @ (sk__1 @ X2 @ X1 @ X0) @ (sk__2 @ X2 @ X1 @ X0)) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8)))),
% 6.42/1.51 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl14])).
% 6.42/1.51 thf(zip_derived_cl784, plain,
% 6.42/1.51 (![X0 : $i]:
% 6.42/1.51 (((X0) = (cartesian_product2 @ sk__9 @ sk__10))
% 6.42/1.51 | (in @ (sk_ @ X0 @ sk__10 @ sk__9) @ X0)
% 6.42/1.51 | (in @
% 6.42/1.51 (ordered_pair @ (sk__1 @ X0 @ sk__10 @ sk__9) @
% 6.42/1.51 (sk__2 @ X0 @ sk__10 @ sk__9)) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8))
% 6.42/1.51 | (in @ (sk_ @ X0 @ sk__10 @ sk__9) @ X0)
% 6.42/1.51 | ((X0) = (cartesian_product2 @ sk__9 @ sk__10)))),
% 6.42/1.51 inference('sup-', [status(thm)], [zip_derived_cl85, zip_derived_cl655])).
% 6.42/1.51 thf(zip_derived_cl788, plain,
% 6.42/1.51 (![X0 : $i]:
% 6.42/1.51 ( (in @
% 6.42/1.51 (ordered_pair @ (sk__1 @ X0 @ sk__10 @ sk__9) @
% 6.42/1.51 (sk__2 @ X0 @ sk__10 @ sk__9)) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8))
% 6.42/1.51 | (in @ (sk_ @ X0 @ sk__10 @ sk__9) @ X0)
% 6.42/1.51 | ((X0) = (cartesian_product2 @ sk__9 @ sk__10)))),
% 6.42/1.51 inference('simplify', [status(thm)], [zip_derived_cl784])).
% 6.42/1.51 thf(zip_derived_cl795, plain,
% 6.42/1.51 (![X0 : $i]:
% 6.42/1.51 ( (in @ (sk_ @ X0 @ sk__10 @ sk__9) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8))
% 6.42/1.51 | ((X0) = (cartesian_product2 @ sk__9 @ sk__10))
% 6.42/1.51 | (in @ (sk_ @ X0 @ sk__10 @ sk__9) @ X0)
% 6.42/1.51 | ((X0) = (cartesian_product2 @ sk__9 @ sk__10))
% 6.42/1.51 | (in @ (sk_ @ X0 @ sk__10 @ sk__9) @ X0))),
% 6.42/1.51 inference('sup+', [status(thm)], [zip_derived_cl82, zip_derived_cl788])).
% 6.42/1.51 thf(zip_derived_cl796, plain,
% 6.42/1.51 (![X0 : $i]:
% 6.42/1.51 ( (in @ (sk_ @ X0 @ sk__10 @ sk__9) @ X0)
% 6.42/1.51 | ((X0) = (cartesian_product2 @ sk__9 @ sk__10))
% 6.42/1.51 | (in @ (sk_ @ X0 @ sk__10 @ sk__9) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8)))),
% 6.42/1.51 inference('simplify', [status(thm)], [zip_derived_cl795])).
% 6.42/1.51 thf(zip_derived_cl811, plain,
% 6.42/1.51 ((((cartesian_product2 @ sk__7 @ sk__8)
% 6.42/1.51 = (cartesian_product2 @ sk__9 @ sk__10))
% 6.42/1.51 | (in @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8)))),
% 6.42/1.51 inference('eq_fact', [status(thm)], [zip_derived_cl796])).
% 6.42/1.51 thf(zip_derived_cl16, plain,
% 6.42/1.51 (((cartesian_product2 @ sk__7 @ sk__8)
% 6.42/1.51 != (cartesian_product2 @ sk__9 @ sk__10))),
% 6.42/1.51 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.42/1.51 thf(zip_derived_cl812, plain,
% 6.42/1.51 ( (in @ (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8))),
% 6.42/1.51 inference('simplify_reflect-', [status(thm)],
% 6.42/1.51 [zip_derived_cl811, zip_derived_cl16])).
% 6.42/1.51 thf(zip_derived_cl7, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 6.42/1.51 (~ (in @ X0 @ X1)
% 6.42/1.51 | (zip_tseitin_0 @ (sk__4 @ X0 @ X2 @ X3) @
% 6.42/1.51 (sk__3 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 6.42/1.51 | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 6.42/1.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.42/1.51 thf(zip_derived_cl81, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.42/1.51 ( (zip_tseitin_0 @ (sk__4 @ X2 @ X1 @ X0) @ (sk__3 @ X2 @ X1 @ X0) @
% 6.42/1.51 X2 @ X1 @ X0)
% 6.42/1.51 | ~ (in @ X2 @ (cartesian_product2 @ X0 @ X1)))),
% 6.42/1.51 inference('eq_res', [status(thm)], [zip_derived_cl7])).
% 6.42/1.51 thf(zip_derived_cl819, plain,
% 6.42/1.51 ( (zip_tseitin_0 @
% 6.42/1.51 (sk__4 @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__8 @ sk__7) @
% 6.42/1.51 (sk__3 @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__8 @ sk__7) @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__8 @ sk__7)),
% 6.42/1.51 inference('sup-', [status(thm)], [zip_derived_cl812, zip_derived_cl81])).
% 6.42/1.51 thf(zip_derived_cl2, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.42/1.51 (((X2) = (ordered_pair @ X0 @ X1))
% 6.42/1.51 | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 6.42/1.51 inference('cnf', [status(esa)], [zf_stmt_1])).
% 6.42/1.51 thf(zip_derived_cl2246, plain,
% 6.42/1.51 (((sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9)
% 6.42/1.51 = (ordered_pair @
% 6.42/1.51 (sk__3 @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__8 @ sk__7) @
% 6.42/1.51 (sk__4 @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__8 @ sk__7)))),
% 6.42/1.51 inference('sup-', [status(thm)], [zip_derived_cl819, zip_derived_cl2])).
% 6.42/1.51 thf(zip_derived_cl15, plain,
% 6.42/1.51 (![X0 : $i, X2 : $i]:
% 6.42/1.51 ( (in @ (ordered_pair @ X0 @ X2) @
% 6.42/1.51 (cartesian_product2 @ sk__9 @ sk__10))
% 6.42/1.51 | ~ (in @ (ordered_pair @ X0 @ X2) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8)))),
% 6.42/1.51 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.42/1.51 thf(zip_derived_cl2727, plain,
% 6.42/1.51 ((~ (in @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8))
% 6.42/1.51 | (in @
% 6.42/1.51 (ordered_pair @
% 6.42/1.51 (sk__3 @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__8 @ sk__7) @
% 6.42/1.51 (sk__4 @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__8 @ sk__7)) @
% 6.42/1.51 (cartesian_product2 @ sk__9 @ sk__10)))),
% 6.42/1.51 inference('sup-', [status(thm)], [zip_derived_cl2246, zip_derived_cl15])).
% 6.42/1.51 thf(zip_derived_cl812, plain,
% 6.42/1.51 ( (in @ (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8))),
% 6.42/1.51 inference('simplify_reflect-', [status(thm)],
% 6.42/1.51 [zip_derived_cl811, zip_derived_cl16])).
% 6.42/1.51 thf(zip_derived_cl2246, plain,
% 6.42/1.51 (((sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9)
% 6.42/1.51 = (ordered_pair @
% 6.42/1.51 (sk__3 @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__8 @ sk__7) @
% 6.42/1.51 (sk__4 @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__8 @ sk__7)))),
% 6.42/1.51 inference('sup-', [status(thm)], [zip_derived_cl819, zip_derived_cl2])).
% 6.42/1.51 thf(zip_derived_cl2752, plain,
% 6.42/1.51 ( (in @ (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 (cartesian_product2 @ sk__9 @ sk__10))),
% 6.42/1.51 inference('demod', [status(thm)],
% 6.42/1.51 [zip_derived_cl2727, zip_derived_cl812, zip_derived_cl2246])).
% 6.42/1.51 thf(zip_derived_cl81, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i]:
% 6.42/1.51 ( (zip_tseitin_0 @ (sk__4 @ X2 @ X1 @ X0) @ (sk__3 @ X2 @ X1 @ X0) @
% 6.42/1.51 X2 @ X1 @ X0)
% 6.42/1.51 | ~ (in @ X2 @ (cartesian_product2 @ X0 @ X1)))),
% 6.42/1.51 inference('eq_res', [status(thm)], [zip_derived_cl7])).
% 6.42/1.51 thf(zip_derived_cl2773, plain,
% 6.42/1.51 ( (zip_tseitin_0 @
% 6.42/1.51 (sk__4 @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__10 @ sk__9) @
% 6.42/1.51 (sk__3 @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__10 @ sk__9) @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 sk__10 @ sk__9)),
% 6.42/1.51 inference('sup-', [status(thm)], [zip_derived_cl2752, zip_derived_cl81])).
% 6.42/1.51 thf(zip_derived_cl8, plain,
% 6.42/1.51 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 6.42/1.51 (((X2) = (cartesian_product2 @ X0 @ X1))
% 6.42/1.51 | ~ (zip_tseitin_0 @ X3 @ X4 @ (sk_ @ X2 @ X1 @ X0) @ X1 @ X0)
% 6.42/1.51 | ~ (in @ (sk_ @ X2 @ X1 @ X0) @ X2))),
% 6.42/1.51 inference('cnf', [status(esa)], [zf_stmt_2])).
% 6.42/1.51 thf(zip_derived_cl3517, plain,
% 6.42/1.51 ((~ (in @
% 6.42/1.51 (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8))
% 6.42/1.51 | ((cartesian_product2 @ sk__7 @ sk__8)
% 6.42/1.51 = (cartesian_product2 @ sk__9 @ sk__10)))),
% 6.42/1.51 inference('sup-', [status(thm)], [zip_derived_cl2773, zip_derived_cl8])).
% 6.42/1.51 thf(zip_derived_cl812, plain,
% 6.42/1.51 ( (in @ (sk_ @ (cartesian_product2 @ sk__7 @ sk__8) @ sk__10 @ sk__9) @
% 6.42/1.51 (cartesian_product2 @ sk__7 @ sk__8))),
% 6.42/1.51 inference('simplify_reflect-', [status(thm)],
% 6.42/1.51 [zip_derived_cl811, zip_derived_cl16])).
% 6.42/1.51 thf(zip_derived_cl3518, plain,
% 6.42/1.51 (((cartesian_product2 @ sk__7 @ sk__8)
% 6.42/1.51 = (cartesian_product2 @ sk__9 @ sk__10))),
% 6.42/1.51 inference('demod', [status(thm)], [zip_derived_cl3517, zip_derived_cl812])).
% 6.42/1.51 thf(zip_derived_cl16, plain,
% 6.42/1.51 (((cartesian_product2 @ sk__7 @ sk__8)
% 6.42/1.51 != (cartesian_product2 @ sk__9 @ sk__10))),
% 6.42/1.51 inference('cnf', [status(esa)], [zf_stmt_3])).
% 6.42/1.51 thf(zip_derived_cl3519, plain, ($false),
% 6.42/1.51 inference('simplify_reflect-', [status(thm)],
% 6.42/1.51 [zip_derived_cl3518, zip_derived_cl16])).
% 6.42/1.51
% 6.42/1.51 % SZS output end Refutation
% 6.42/1.51
% 6.42/1.51
% 6.42/1.51 % Terminating...
% 6.42/1.63 % Runner terminated.
% 6.42/1.63 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------