%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU157+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.1r19v6Ao1J true
% Computer : n024.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 04:53:38 PM UTC 2025
% Result : Theorem 1.49s 2.41s
% Output : Refutation 1.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/1.07 % Problem : SEU157+1 : TPTP v9.2.0. Released v3.3.0.
% 0.11/1.16 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.1r19v6Ao1J true
% 0.11/1.54 % Computer : n024.cluster.edu
% 0.11/1.54 % Model : x86_64 x86_64
% 0.11/1.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.54 % Memory : 8042.1875MB
% 0.11/1.54 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/1.54 % CPULimit : 300
% 0.11/1.54 % WCLimit : 300
% 0.11/1.54 % DateTime : Wed Oct 1 16:04:09 EDT 2025
% 0.11/1.55 % CPUTime :
% 0.11/1.55 % Running portfolio for 300 s
% 0.11/1.55 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/1.56 % Number of cores: 8
% 0.17/1.58 % Python version: Python 3.6.8
% 0.17/1.59 % Running in FO mode
% 0.30/1.89 % Total configuration time : 435
% 0.30/1.89 % Estimated wc time : 1092
% 0.30/1.89 % Estimated cpu time (7 cpus) : 156.0
% 0.30/1.99 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.30/1.99 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.30/2.08 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.30/2.11 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.30/2.13 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.30/2.15 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.24/2.18 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.49/2.41 % Solved by fo/fo4.sh.
% 1.49/2.41 % done 104 iterations in 0.119s
% 1.49/2.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.49/2.41 % SZS output start Refutation
% 1.49/2.41 thf(sk__7_type, type, sk__7: $i).
% 1.49/2.41 thf(sk__5_type, type, sk__5: $i).
% 1.49/2.41 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 1.49/2.41 thf('#_fresh_sk2_type', type, '#_fresh_sk2': $i > $i).
% 1.49/2.41 thf(sk__8_type, type, sk__8: $i).
% 1.49/2.41 thf(in_type, type, in: $i > $i > $o).
% 1.49/2.41 thf('#_fresh_sk1_type', type, '#_fresh_sk1': $i > $i).
% 1.49/2.41 thf(sk__3_type, type, sk__3: $i > $i > $i > $i).
% 1.49/2.41 thf(sk__6_type, type, sk__6: $i).
% 1.49/2.41 thf(sk__4_type, type, sk__4: $i > $i > $i > $i).
% 1.49/2.41 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 1.49/2.41 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.49/2.41 thf(d2_zfmisc_1, axiom,
% 1.49/2.41 (![A:$i,B:$i,C:$i]:
% 1.49/2.41 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 1.49/2.41 ( ![D:$i]:
% 1.49/2.41 ( ( in @ D @ C ) <=>
% 1.49/2.41 ( ?[E:$i,F:$i]:
% 1.49/2.41 ( ( in @ E @ A ) & ( in @ F @ B ) &
% 1.49/2.41 ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ))).
% 1.49/2.41 thf(zf_stmt_0, axiom,
% 1.49/2.41 (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 1.49/2.41 ( ( zip_tseitin_0 @ F @ E @ D @ B @ A ) <=>
% 1.49/2.41 ( ( ( D ) = ( ordered_pair @ E @ F ) ) & ( in @ F @ B ) & ( in @ E @ A ) ) ))).
% 1.49/2.41 thf(zip_derived_cl5, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.49/2.41 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.49/2.41 | ~ (in @ X1 @ X4)
% 1.49/2.41 | ~ (in @ X0 @ X3)
% 1.49/2.41 | ((X2) != (ordered_pair @ X1 @ X0)))),
% 1.49/2.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.49/2.41 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 1.49/2.41 thf(zf_stmt_2, axiom,
% 1.49/2.41 (![A:$i,B:$i,C:$i]:
% 1.49/2.41 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 1.49/2.41 ( ![D:$i]:
% 1.49/2.41 ( ( in @ D @ C ) <=>
% 1.49/2.41 ( ?[E:$i,F:$i]: ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ) ))).
% 1.49/2.41 thf(zip_derived_cl6, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.49/2.41 (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 1.49/2.41 | (in @ X2 @ X5)
% 1.49/2.41 | ((X5) != (cartesian_product2 @ X4 @ X3)))),
% 1.49/2.41 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.49/2.41 thf(zip_derived_cl45, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.49/2.41 (((X2) != (ordered_pair @ X3 @ X4))
% 1.49/2.41 | ~ (in @ X4 @ X1)
% 1.49/2.41 | ~ (in @ X3 @ X0)
% 1.49/2.41 | ((X5) != (cartesian_product2 @ X0 @ X1))
% 1.49/2.41 | (in @ X2 @ X5))),
% 1.49/2.41 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl6])).
% 1.49/2.41 thf(zip_derived_cl124, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.49/2.41 ( (in @ (ordered_pair @ X2 @ X1) @ X0)
% 1.49/2.41 | ((X0) != (cartesian_product2 @ X4 @ X3))
% 1.49/2.41 | ~ (in @ X2 @ X4)
% 1.49/2.41 | ~ (in @ X1 @ X3))),
% 1.49/2.41 inference('eq_res', [status(thm)], [zip_derived_cl45])).
% 1.49/2.41 thf(zip_derived_cl125, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.49/2.41 (~ (in @ X1 @ X0)
% 1.49/2.41 | ~ (in @ X3 @ X2)
% 1.49/2.41 | (in @ (ordered_pair @ X3 @ X1) @ (cartesian_product2 @ X2 @ X0)))),
% 1.49/2.41 inference('eq_res', [status(thm)], [zip_derived_cl124])).
% 1.49/2.41 thf(l55_zfmisc_1, conjecture,
% 1.49/2.41 (![A:$i,B:$i,C:$i,D:$i]:
% 1.49/2.41 ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) ) <=>
% 1.49/2.41 ( ( in @ A @ C ) & ( in @ B @ D ) ) ))).
% 1.49/2.41 thf(zf_stmt_3, negated_conjecture,
% 1.49/2.41 (~( ![A:$i,B:$i,C:$i,D:$i]:
% 1.49/2.41 ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) ) <=>
% 1.49/2.41 ( ( in @ A @ C ) & ( in @ B @ D ) ) ) )),
% 1.49/2.41 inference('cnf.neg', [status(esa)], [l55_zfmisc_1])).
% 1.49/2.41 thf(zip_derived_cl18, plain,
% 1.49/2.41 ((~ (in @ sk__6 @ sk__8)
% 1.49/2.41 | ~ (in @ sk__5 @ sk__7)
% 1.49/2.41 | ~ (in @ (ordered_pair @ sk__5 @ sk__6) @
% 1.49/2.41 (cartesian_product2 @ sk__7 @ sk__8)))),
% 1.49/2.41 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.49/2.41 thf(zip_derived_cl16, plain,
% 1.49/2.41 (( (in @ sk__5 @ sk__7)
% 1.49/2.41 | (in @ (ordered_pair @ sk__5 @ sk__6) @
% 1.49/2.41 (cartesian_product2 @ sk__7 @ sk__8)))),
% 1.49/2.41 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.49/2.41 thf(zip_derived_cl7, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.49/2.41 (~ (in @ X0 @ X1)
% 1.49/2.41 | (zip_tseitin_0 @ (sk__4 @ X0 @ X2 @ X3) @
% 1.49/2.41 (sk__3 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 1.49/2.41 | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 1.49/2.41 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.49/2.41 thf(zip_derived_cl47, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i]:
% 1.49/2.41 ( (in @ sk__5 @ sk__7)
% 1.49/2.41 | ((cartesian_product2 @ sk__7 @ sk__8)
% 1.49/2.41 != (cartesian_product2 @ X1 @ X0))
% 1.49/2.41 | (zip_tseitin_0 @
% 1.49/2.41 (sk__4 @ (ordered_pair @ sk__5 @ sk__6) @ X0 @ X1) @
% 1.49/2.41 (sk__3 @ (ordered_pair @ sk__5 @ sk__6) @ X0 @ X1) @
% 1.49/2.41 (ordered_pair @ sk__5 @ sk__6) @ X0 @ X1))),
% 1.49/2.41 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl7])).
% 1.49/2.41 thf(zip_derived_cl49, plain,
% 1.49/2.41 (( (zip_tseitin_0 @
% 1.49/2.41 (sk__4 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 (sk__3 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7)
% 1.49/2.41 | (in @ sk__5 @ sk__7))),
% 1.49/2.41 inference('eq_res', [status(thm)], [zip_derived_cl47])).
% 1.49/2.41 thf(zip_derived_cl2, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.49/2.41 (((X2) = (ordered_pair @ X0 @ X1))
% 1.49/2.41 | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 1.49/2.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.49/2.41 thf(zip_derived_cl57, plain,
% 1.49/2.41 (( (in @ sk__5 @ sk__7)
% 1.49/2.41 | ((ordered_pair @ sk__5 @ sk__6)
% 1.49/2.41 = (ordered_pair @
% 1.49/2.41 (sk__3 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 (sk__4 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7))))),
% 1.49/2.41 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl2])).
% 1.49/2.41 thf(t33_zfmisc_1, axiom,
% 1.49/2.41 (![A:$i,B:$i,C:$i,D:$i]:
% 1.49/2.41 ( ( ( ordered_pair @ A @ B ) = ( ordered_pair @ C @ D ) ) =>
% 1.49/2.41 ( ( ( A ) = ( C ) ) & ( ( B ) = ( D ) ) ) ))).
% 1.49/2.41 thf(zip_derived_cl21, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.49/2.41 (((X1) = (X0))
% 1.49/2.41 | ((ordered_pair @ X1 @ X3) != (ordered_pair @ X0 @ X2)))),
% 1.49/2.41 inference('cnf', [status(esa)], [t33_zfmisc_1])).
% 1.49/2.41 thf(zip_derived_cl25, plain,
% 1.49/2.41 (![X1 : $i, X3 : $i]: (('#_fresh_sk1' @ (ordered_pair @ X1 @ X3)) = (X1))),
% 1.49/2.41 inference('inj_rec', [status(thm)], [zip_derived_cl21])).
% 1.49/2.41 thf(zip_derived_cl107, plain,
% 1.49/2.41 (((('#_fresh_sk1' @ (ordered_pair @ sk__5 @ sk__6))
% 1.49/2.41 = (sk__3 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7))
% 1.49/2.41 | (in @ sk__5 @ sk__7))),
% 1.49/2.41 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl25])).
% 1.49/2.41 thf(zip_derived_cl25, plain,
% 1.49/2.41 (![X1 : $i, X3 : $i]: (('#_fresh_sk1' @ (ordered_pair @ X1 @ X3)) = (X1))),
% 1.49/2.41 inference('inj_rec', [status(thm)], [zip_derived_cl21])).
% 1.49/2.41 thf(zip_derived_cl112, plain,
% 1.49/2.41 ((((sk__5) = (sk__3 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7))
% 1.49/2.41 | (in @ sk__5 @ sk__7))),
% 1.49/2.41 inference('demod', [status(thm)], [zip_derived_cl107, zip_derived_cl25])).
% 1.49/2.41 thf(zip_derived_cl49, plain,
% 1.49/2.41 (( (zip_tseitin_0 @
% 1.49/2.41 (sk__4 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 (sk__3 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7)
% 1.49/2.41 | (in @ sk__5 @ sk__7))),
% 1.49/2.41 inference('eq_res', [status(thm)], [zip_derived_cl47])).
% 1.49/2.41 thf(zip_derived_cl4, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.49/2.41 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1))),
% 1.49/2.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.49/2.41 thf(zip_derived_cl59, plain,
% 1.49/2.41 (( (in @ sk__5 @ sk__7)
% 1.49/2.41 | (in @ (sk__3 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 sk__7))),
% 1.49/2.41 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl4])).
% 1.49/2.41 thf(zip_derived_cl117, plain,
% 1.49/2.41 (( (in @ sk__5 @ sk__7) | (in @ sk__5 @ sk__7) | (in @ sk__5 @ sk__7))),
% 1.49/2.41 inference('sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl59])).
% 1.49/2.41 thf(zip_derived_cl121, plain, ( (in @ sk__5 @ sk__7)),
% 1.49/2.41 inference('simplify', [status(thm)], [zip_derived_cl117])).
% 1.49/2.41 thf(zip_derived_cl130, plain,
% 1.49/2.41 ((~ (in @ sk__6 @ sk__8)
% 1.49/2.41 | ~ (in @ (ordered_pair @ sk__5 @ sk__6) @
% 1.49/2.41 (cartesian_product2 @ sk__7 @ sk__8)))),
% 1.49/2.41 inference('demod', [status(thm)], [zip_derived_cl18, zip_derived_cl121])).
% 1.49/2.41 thf(zip_derived_cl17, plain,
% 1.49/2.41 (( (in @ sk__6 @ sk__8)
% 1.49/2.41 | (in @ (ordered_pair @ sk__5 @ sk__6) @
% 1.49/2.41 (cartesian_product2 @ sk__7 @ sk__8)))),
% 1.49/2.41 inference('cnf', [status(esa)], [zf_stmt_3])).
% 1.49/2.41 thf(zip_derived_cl7, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.49/2.41 (~ (in @ X0 @ X1)
% 1.49/2.41 | (zip_tseitin_0 @ (sk__4 @ X0 @ X2 @ X3) @
% 1.49/2.41 (sk__3 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 1.49/2.41 | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 1.49/2.41 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.49/2.41 thf(zip_derived_cl48, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i]:
% 1.49/2.41 ( (in @ sk__6 @ sk__8)
% 1.49/2.41 | ((cartesian_product2 @ sk__7 @ sk__8)
% 1.49/2.41 != (cartesian_product2 @ X1 @ X0))
% 1.49/2.41 | (zip_tseitin_0 @
% 1.49/2.41 (sk__4 @ (ordered_pair @ sk__5 @ sk__6) @ X0 @ X1) @
% 1.49/2.41 (sk__3 @ (ordered_pair @ sk__5 @ sk__6) @ X0 @ X1) @
% 1.49/2.41 (ordered_pair @ sk__5 @ sk__6) @ X0 @ X1))),
% 1.49/2.41 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl7])).
% 1.49/2.41 thf(zip_derived_cl50, plain,
% 1.49/2.41 (( (zip_tseitin_0 @
% 1.49/2.41 (sk__4 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 (sk__3 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7)
% 1.49/2.41 | (in @ sk__6 @ sk__8))),
% 1.49/2.41 inference('eq_res', [status(thm)], [zip_derived_cl48])).
% 1.49/2.41 thf(zip_derived_cl2, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.49/2.41 (((X2) = (ordered_pair @ X0 @ X1))
% 1.49/2.41 | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 1.49/2.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.49/2.41 thf(zip_derived_cl142, plain,
% 1.49/2.41 (( (in @ sk__6 @ sk__8)
% 1.49/2.41 | ((ordered_pair @ sk__5 @ sk__6)
% 1.49/2.41 = (ordered_pair @
% 1.49/2.41 (sk__3 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 (sk__4 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7))))),
% 1.49/2.41 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl2])).
% 1.49/2.41 thf(zip_derived_cl22, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.49/2.41 (((X1) = (X0))
% 1.49/2.41 | ((ordered_pair @ X3 @ X1) != (ordered_pair @ X2 @ X0)))),
% 1.49/2.41 inference('cnf', [status(esa)], [t33_zfmisc_1])).
% 1.49/2.41 thf(zip_derived_cl27, plain,
% 1.49/2.41 (![X1 : $i, X3 : $i]: (('#_fresh_sk2' @ (ordered_pair @ X3 @ X1)) = (X1))),
% 1.49/2.41 inference('inj_rec', [status(thm)], [zip_derived_cl22])).
% 1.49/2.41 thf(zip_derived_cl212, plain,
% 1.49/2.41 (((('#_fresh_sk2' @ (ordered_pair @ sk__5 @ sk__6))
% 1.49/2.41 = (sk__4 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7))
% 1.49/2.41 | (in @ sk__6 @ sk__8))),
% 1.49/2.41 inference('sup+', [status(thm)], [zip_derived_cl142, zip_derived_cl27])).
% 1.49/2.41 thf(zip_derived_cl27, plain,
% 1.49/2.41 (![X1 : $i, X3 : $i]: (('#_fresh_sk2' @ (ordered_pair @ X3 @ X1)) = (X1))),
% 1.49/2.41 inference('inj_rec', [status(thm)], [zip_derived_cl22])).
% 1.49/2.41 thf(zip_derived_cl220, plain,
% 1.49/2.41 ((((sk__6) = (sk__4 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7))
% 1.49/2.41 | (in @ sk__6 @ sk__8))),
% 1.49/2.41 inference('demod', [status(thm)], [zip_derived_cl212, zip_derived_cl27])).
% 1.49/2.41 thf(zip_derived_cl50, plain,
% 1.49/2.41 (( (zip_tseitin_0 @
% 1.49/2.41 (sk__4 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 (sk__3 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7)
% 1.49/2.41 | (in @ sk__6 @ sk__8))),
% 1.49/2.41 inference('eq_res', [status(thm)], [zip_derived_cl48])).
% 1.49/2.41 thf(zip_derived_cl3, plain,
% 1.49/2.41 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.49/2.41 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4))),
% 1.49/2.41 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.49/2.41 thf(zip_derived_cl143, plain,
% 1.49/2.41 (( (in @ sk__6 @ sk__8)
% 1.49/2.41 | (in @ (sk__4 @ (ordered_pair @ sk__5 @ sk__6) @ sk__8 @ sk__7) @
% 1.49/2.41 sk__8))),
% 1.49/2.41 inference('sup-', [status(thm)], [zip_derived_cl50, zip_derived_cl3])).
% 1.49/2.41 thf(zip_derived_cl234, plain,
% 1.49/2.41 (( (in @ sk__6 @ sk__8) | (in @ sk__6 @ sk__8) | (in @ sk__6 @ sk__8))),
% 1.49/2.41 inference('sup+', [status(thm)], [zip_derived_cl220, zip_derived_cl143])).
% 1.49/2.41 thf(zip_derived_cl238, plain, ( (in @ sk__6 @ sk__8)),
% 1.49/2.41 inference('simplify', [status(thm)], [zip_derived_cl234])).
% 1.49/2.41 thf(zip_derived_cl251, plain,
% 1.49/2.41 (~ (in @ (ordered_pair @ sk__5 @ sk__6) @
% 1.49/2.41 (cartesian_product2 @ sk__7 @ sk__8))),
% 1.49/2.41 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl238])).
% 1.49/2.41 thf(zip_derived_cl254, plain,
% 1.49/2.41 ((~ (in @ sk__5 @ sk__7) | ~ (in @ sk__6 @ sk__8))),
% 1.49/2.41 inference('sup-', [status(thm)], [zip_derived_cl125, zip_derived_cl251])).
% 1.49/2.41 thf(zip_derived_cl121, plain, ( (in @ sk__5 @ sk__7)),
% 1.49/2.41 inference('simplify', [status(thm)], [zip_derived_cl117])).
% 1.49/2.41 thf(zip_derived_cl238, plain, ( (in @ sk__6 @ sk__8)),
% 1.49/2.41 inference('simplify', [status(thm)], [zip_derived_cl234])).
% 1.49/2.41 thf(zip_derived_cl255, plain, ($false),
% 1.49/2.41 inference('demod', [status(thm)],
% 1.49/2.41 [zip_derived_cl254, zip_derived_cl121, zip_derived_cl238])).
% 1.49/2.41
% 1.49/2.41 % SZS output end Refutation
% 1.49/2.41
% 1.49/2.41
% 1.49/2.41 % Terminating...
% 1.68/2.55 % Runner terminated.
% 1.70/2.56 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------