%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU157+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.cKZMhuj8DS true
% Computer : n026.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 7.25s 1.67s
% Output : Refutation 7.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU157+2 : TPTP v9.2.0. Released v3.3.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.cKZMhuj8DS true
% 0.13/0.35 % Computer : n026.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 16:03:38 EDT 2025
% 0.20/0.35 % CPUTime :
% 0.20/0.35 % Running portfolio for 300 s
% 0.20/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.54/0.64 % Total configuration time : 435
% 0.54/0.64 % Estimated wc time : 1092
% 0.54/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 7.25/1.67 % Solved by fo/fo4.sh.
% 7.25/1.67 % done 813 iterations in 0.876s
% 7.25/1.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 7.25/1.67 % SZS output start Refutation
% 7.25/1.67 thf(sk__6_type, type, sk__6: $i > $i > $i > $i).
% 7.25/1.67 thf(sk__11_type, type, sk__11: $i).
% 7.25/1.67 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 7.25/1.67 thf('#_fresh_sk1_type', type, '#_fresh_sk1': $i > $i).
% 7.25/1.67 thf(in_type, type, in: $i > $i > $o).
% 7.25/1.67 thf('#_fresh_sk2_type', type, '#_fresh_sk2': $i > $i).
% 7.25/1.67 thf(sk__5_type, type, sk__5: $i > $i > $i > $i).
% 7.25/1.67 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 7.25/1.67 thf(sk__9_type, type, sk__9: $i).
% 7.25/1.67 thf(sk__10_type, type, sk__10: $i).
% 7.25/1.67 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 7.25/1.67 thf(sk__12_type, type, sk__12: $i).
% 7.25/1.67 thf(d2_zfmisc_1, axiom,
% 7.25/1.67 (![A:$i,B:$i,C:$i]:
% 7.25/1.67 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 7.25/1.67 ( ![D:$i]:
% 7.25/1.67 ( ( in @ D @ C ) <=>
% 7.25/1.67 ( ?[E:$i,F:$i]:
% 7.25/1.67 ( ( in @ E @ A ) & ( in @ F @ B ) &
% 7.25/1.67 ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ))).
% 7.25/1.67 thf(zf_stmt_0, axiom,
% 7.25/1.67 (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 7.25/1.67 ( ( zip_tseitin_0 @ F @ E @ D @ B @ A ) <=>
% 7.25/1.67 ( ( ( D ) = ( ordered_pair @ E @ F ) ) & ( in @ F @ B ) & ( in @ E @ A ) ) ))).
% 7.25/1.67 thf(zip_derived_cl10, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.25/1.67 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.25/1.67 | ~ (in @ X1 @ X4)
% 7.25/1.67 | ~ (in @ X0 @ X3)
% 7.25/1.67 | ((X2) != (ordered_pair @ X1 @ X0)))),
% 7.25/1.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.25/1.67 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 7.25/1.67 thf(zf_stmt_2, axiom,
% 7.25/1.67 (![A:$i,B:$i,C:$i]:
% 7.25/1.67 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 7.25/1.67 ( ![D:$i]:
% 7.25/1.67 ( ( in @ D @ C ) <=>
% 7.25/1.67 ( ?[E:$i,F:$i]: ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ) ))).
% 7.25/1.67 thf(zip_derived_cl11, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.25/1.67 (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 7.25/1.67 | (in @ X2 @ X5)
% 7.25/1.67 | ((X5) != (cartesian_product2 @ X4 @ X3)))),
% 7.25/1.67 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.25/1.67 thf(zip_derived_cl232, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 7.25/1.67 (((X2) != (ordered_pair @ X3 @ X4))
% 7.25/1.67 | ~ (in @ X4 @ X1)
% 7.25/1.67 | ~ (in @ X3 @ X0)
% 7.25/1.67 | ((X5) != (cartesian_product2 @ X0 @ X1))
% 7.25/1.67 | (in @ X2 @ X5))),
% 7.25/1.67 inference('sup-', [status(thm)], [zip_derived_cl10, zip_derived_cl11])).
% 7.25/1.67 thf(zip_derived_cl3290, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.25/1.67 ( (in @ (ordered_pair @ X2 @ X1) @ X0)
% 7.25/1.67 | ((X0) != (cartesian_product2 @ X4 @ X3))
% 7.25/1.67 | ~ (in @ X2 @ X4)
% 7.25/1.67 | ~ (in @ X1 @ X3))),
% 7.25/1.67 inference('eq_res', [status(thm)], [zip_derived_cl232])).
% 7.25/1.67 thf(zip_derived_cl3472, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.25/1.67 (~ (in @ X1 @ X0)
% 7.25/1.67 | ~ (in @ X3 @ X2)
% 7.25/1.67 | (in @ (ordered_pair @ X3 @ X1) @ (cartesian_product2 @ X2 @ X0)))),
% 7.25/1.67 inference('eq_res', [status(thm)], [zip_derived_cl3290])).
% 7.25/1.67 thf(l55_zfmisc_1, conjecture,
% 7.25/1.67 (![A:$i,B:$i,C:$i,D:$i]:
% 7.25/1.67 ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) ) <=>
% 7.25/1.67 ( ( in @ A @ C ) & ( in @ B @ D ) ) ))).
% 7.25/1.67 thf(zf_stmt_3, negated_conjecture,
% 7.25/1.67 (~( ![A:$i,B:$i,C:$i,D:$i]:
% 7.25/1.67 ( ( in @ ( ordered_pair @ A @ B ) @ ( cartesian_product2 @ C @ D ) ) <=>
% 7.25/1.67 ( ( in @ A @ C ) & ( in @ B @ D ) ) ) )),
% 7.25/1.67 inference('cnf.neg', [status(esa)], [l55_zfmisc_1])).
% 7.25/1.67 thf(zip_derived_cl28, plain,
% 7.25/1.67 ((~ (in @ sk__10 @ sk__12)
% 7.25/1.67 | ~ (in @ sk__9 @ sk__11)
% 7.25/1.67 | ~ (in @ (ordered_pair @ sk__9 @ sk__10) @
% 7.25/1.67 (cartesian_product2 @ sk__11 @ sk__12)))),
% 7.25/1.67 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.25/1.67 thf(zip_derived_cl26, plain,
% 7.25/1.67 (( (in @ sk__9 @ sk__11)
% 7.25/1.67 | (in @ (ordered_pair @ sk__9 @ sk__10) @
% 7.25/1.67 (cartesian_product2 @ sk__11 @ sk__12)))),
% 7.25/1.67 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.25/1.67 thf(zip_derived_cl12, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.25/1.67 (~ (in @ X0 @ X1)
% 7.25/1.67 | (zip_tseitin_0 @ (sk__6 @ X0 @ X2 @ X3) @
% 7.25/1.67 (sk__5 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 7.25/1.67 | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 7.25/1.67 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.25/1.67 thf(zip_derived_cl271, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i]:
% 7.25/1.67 ( (in @ sk__9 @ sk__11)
% 7.25/1.67 | ((cartesian_product2 @ sk__11 @ sk__12)
% 7.25/1.67 != (cartesian_product2 @ X1 @ X0))
% 7.25/1.67 | (zip_tseitin_0 @
% 7.25/1.67 (sk__6 @ (ordered_pair @ sk__9 @ sk__10) @ X0 @ X1) @
% 7.25/1.67 (sk__5 @ (ordered_pair @ sk__9 @ sk__10) @ X0 @ X1) @
% 7.25/1.67 (ordered_pair @ sk__9 @ sk__10) @ X0 @ X1))),
% 7.25/1.67 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl12])).
% 7.25/1.67 thf(zip_derived_cl3528, plain,
% 7.25/1.67 (( (zip_tseitin_0 @
% 7.25/1.67 (sk__6 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 (sk__5 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11)
% 7.25/1.67 | (in @ sk__9 @ sk__11))),
% 7.25/1.67 inference('eq_res', [status(thm)], [zip_derived_cl271])).
% 7.25/1.67 thf(zip_derived_cl7, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.25/1.67 (((X2) = (ordered_pair @ X0 @ X1))
% 7.25/1.67 | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 7.25/1.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.25/1.67 thf(zip_derived_cl3657, plain,
% 7.25/1.67 (( (in @ sk__9 @ sk__11)
% 7.25/1.67 | ((ordered_pair @ sk__9 @ sk__10)
% 7.25/1.67 = (ordered_pair @
% 7.25/1.67 (sk__5 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 (sk__6 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11))))),
% 7.25/1.67 inference('sup-', [status(thm)], [zip_derived_cl3528, zip_derived_cl7])).
% 7.25/1.67 thf(t33_zfmisc_1, axiom,
% 7.25/1.67 (![A:$i,B:$i,C:$i,D:$i]:
% 7.25/1.67 ( ( ( ordered_pair @ A @ B ) = ( ordered_pair @ C @ D ) ) =>
% 7.25/1.67 ( ( ( A ) = ( C ) ) & ( ( B ) = ( D ) ) ) ))).
% 7.25/1.67 thf(zip_derived_cl24, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.25/1.67 (((X1) = (X0))
% 7.25/1.67 | ((ordered_pair @ X1 @ X3) != (ordered_pair @ X0 @ X2)))),
% 7.25/1.67 inference('cnf', [status(esa)], [t33_zfmisc_1])).
% 7.25/1.67 thf(zip_derived_cl32, plain,
% 7.25/1.67 (![X1 : $i, X3 : $i]: (('#_fresh_sk1' @ (ordered_pair @ X1 @ X3)) = (X1))),
% 7.25/1.67 inference('inj_rec', [status(thm)], [zip_derived_cl24])).
% 7.25/1.67 thf(zip_derived_cl4236, plain,
% 7.25/1.67 (((('#_fresh_sk1' @ (ordered_pair @ sk__9 @ sk__10))
% 7.25/1.67 = (sk__5 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11))
% 7.25/1.67 | (in @ sk__9 @ sk__11))),
% 7.25/1.67 inference('sup+', [status(thm)], [zip_derived_cl3657, zip_derived_cl32])).
% 7.25/1.67 thf(zip_derived_cl32, plain,
% 7.25/1.67 (![X1 : $i, X3 : $i]: (('#_fresh_sk1' @ (ordered_pair @ X1 @ X3)) = (X1))),
% 7.25/1.67 inference('inj_rec', [status(thm)], [zip_derived_cl24])).
% 7.25/1.67 thf(zip_derived_cl4268, plain,
% 7.25/1.67 ((((sk__9) = (sk__5 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11))
% 7.25/1.67 | (in @ sk__9 @ sk__11))),
% 7.25/1.67 inference('demod', [status(thm)], [zip_derived_cl4236, zip_derived_cl32])).
% 7.25/1.67 thf(zip_derived_cl3528, plain,
% 7.25/1.67 (( (zip_tseitin_0 @
% 7.25/1.67 (sk__6 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 (sk__5 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11)
% 7.25/1.67 | (in @ sk__9 @ sk__11))),
% 7.25/1.67 inference('eq_res', [status(thm)], [zip_derived_cl271])).
% 7.25/1.67 thf(zip_derived_cl9, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.25/1.67 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1))),
% 7.25/1.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.25/1.67 thf(zip_derived_cl3659, plain,
% 7.25/1.67 (( (in @ sk__9 @ sk__11)
% 7.25/1.67 | (in @ (sk__5 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 sk__11))),
% 7.25/1.67 inference('sup-', [status(thm)], [zip_derived_cl3528, zip_derived_cl9])).
% 7.25/1.67 thf(zip_derived_cl4273, plain,
% 7.25/1.67 (( (in @ sk__9 @ sk__11)
% 7.25/1.67 | (in @ sk__9 @ sk__11)
% 7.25/1.67 | (in @ sk__9 @ sk__11))),
% 7.25/1.67 inference('sup+', [status(thm)], [zip_derived_cl4268, zip_derived_cl3659])).
% 7.25/1.67 thf(zip_derived_cl4283, plain, ( (in @ sk__9 @ sk__11)),
% 7.25/1.67 inference('simplify', [status(thm)], [zip_derived_cl4273])).
% 7.25/1.67 thf(zip_derived_cl4286, plain,
% 7.25/1.67 ((~ (in @ sk__10 @ sk__12)
% 7.25/1.67 | ~ (in @ (ordered_pair @ sk__9 @ sk__10) @
% 7.25/1.67 (cartesian_product2 @ sk__11 @ sk__12)))),
% 7.25/1.67 inference('demod', [status(thm)], [zip_derived_cl28, zip_derived_cl4283])).
% 7.25/1.67 thf(zip_derived_cl27, plain,
% 7.25/1.67 (( (in @ sk__10 @ sk__12)
% 7.25/1.67 | (in @ (ordered_pair @ sk__9 @ sk__10) @
% 7.25/1.67 (cartesian_product2 @ sk__11 @ sk__12)))),
% 7.25/1.67 inference('cnf', [status(esa)], [zf_stmt_3])).
% 7.25/1.67 thf(zip_derived_cl12, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.25/1.67 (~ (in @ X0 @ X1)
% 7.25/1.67 | (zip_tseitin_0 @ (sk__6 @ X0 @ X2 @ X3) @
% 7.25/1.67 (sk__5 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 7.25/1.67 | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 7.25/1.67 inference('cnf', [status(esa)], [zf_stmt_2])).
% 7.25/1.67 thf(zip_derived_cl272, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i]:
% 7.25/1.67 ( (in @ sk__10 @ sk__12)
% 7.25/1.67 | ((cartesian_product2 @ sk__11 @ sk__12)
% 7.25/1.67 != (cartesian_product2 @ X1 @ X0))
% 7.25/1.67 | (zip_tseitin_0 @
% 7.25/1.67 (sk__6 @ (ordered_pair @ sk__9 @ sk__10) @ X0 @ X1) @
% 7.25/1.67 (sk__5 @ (ordered_pair @ sk__9 @ sk__10) @ X0 @ X1) @
% 7.25/1.67 (ordered_pair @ sk__9 @ sk__10) @ X0 @ X1))),
% 7.25/1.67 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl12])).
% 7.25/1.67 thf(zip_derived_cl3541, plain,
% 7.25/1.67 (( (zip_tseitin_0 @
% 7.25/1.67 (sk__6 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 (sk__5 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11)
% 7.25/1.67 | (in @ sk__10 @ sk__12))),
% 7.25/1.67 inference('eq_res', [status(thm)], [zip_derived_cl272])).
% 7.25/1.67 thf(zip_derived_cl7, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.25/1.67 (((X2) = (ordered_pair @ X0 @ X1))
% 7.25/1.67 | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 7.25/1.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.25/1.67 thf(zip_derived_cl4386, plain,
% 7.25/1.67 (( (in @ sk__10 @ sk__12)
% 7.25/1.67 | ((ordered_pair @ sk__9 @ sk__10)
% 7.25/1.67 = (ordered_pair @
% 7.25/1.67 (sk__5 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 (sk__6 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11))))),
% 7.25/1.67 inference('sup-', [status(thm)], [zip_derived_cl3541, zip_derived_cl7])).
% 7.25/1.67 thf(zip_derived_cl25, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 7.25/1.67 (((X1) = (X0))
% 7.25/1.67 | ((ordered_pair @ X3 @ X1) != (ordered_pair @ X2 @ X0)))),
% 7.25/1.67 inference('cnf', [status(esa)], [t33_zfmisc_1])).
% 7.25/1.67 thf(zip_derived_cl34, plain,
% 7.25/1.67 (![X1 : $i, X3 : $i]: (('#_fresh_sk2' @ (ordered_pair @ X3 @ X1)) = (X1))),
% 7.25/1.67 inference('inj_rec', [status(thm)], [zip_derived_cl25])).
% 7.25/1.67 thf(zip_derived_cl6538, plain,
% 7.25/1.67 (((('#_fresh_sk2' @ (ordered_pair @ sk__9 @ sk__10))
% 7.25/1.67 = (sk__6 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11))
% 7.25/1.67 | (in @ sk__10 @ sk__12))),
% 7.25/1.67 inference('sup+', [status(thm)], [zip_derived_cl4386, zip_derived_cl34])).
% 7.25/1.67 thf(zip_derived_cl34, plain,
% 7.25/1.67 (![X1 : $i, X3 : $i]: (('#_fresh_sk2' @ (ordered_pair @ X3 @ X1)) = (X1))),
% 7.25/1.67 inference('inj_rec', [status(thm)], [zip_derived_cl25])).
% 7.25/1.67 thf(zip_derived_cl6572, plain,
% 7.25/1.67 ((((sk__10) = (sk__6 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11))
% 7.25/1.67 | (in @ sk__10 @ sk__12))),
% 7.25/1.67 inference('demod', [status(thm)], [zip_derived_cl6538, zip_derived_cl34])).
% 7.25/1.67 thf(zip_derived_cl3541, plain,
% 7.25/1.67 (( (zip_tseitin_0 @
% 7.25/1.67 (sk__6 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 (sk__5 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11)
% 7.25/1.67 | (in @ sk__10 @ sk__12))),
% 7.25/1.67 inference('eq_res', [status(thm)], [zip_derived_cl272])).
% 7.25/1.67 thf(zip_derived_cl8, plain,
% 7.25/1.67 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 7.25/1.67 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4))),
% 7.25/1.67 inference('cnf', [status(esa)], [zf_stmt_0])).
% 7.25/1.67 thf(zip_derived_cl4387, plain,
% 7.25/1.67 (( (in @ sk__10 @ sk__12)
% 7.25/1.67 | (in @ (sk__6 @ (ordered_pair @ sk__9 @ sk__10) @ sk__12 @ sk__11) @
% 7.25/1.67 sk__12))),
% 7.25/1.67 inference('sup-', [status(thm)], [zip_derived_cl3541, zip_derived_cl8])).
% 7.25/1.67 thf(zip_derived_cl6742, plain,
% 7.25/1.67 (( (in @ sk__10 @ sk__12)
% 7.25/1.67 | (in @ sk__10 @ sk__12)
% 7.25/1.67 | (in @ sk__10 @ sk__12))),
% 7.25/1.67 inference('sup+', [status(thm)], [zip_derived_cl6572, zip_derived_cl4387])).
% 7.25/1.67 thf(zip_derived_cl6758, plain, ( (in @ sk__10 @ sk__12)),
% 7.25/1.67 inference('simplify', [status(thm)], [zip_derived_cl6742])).
% 7.25/1.67 thf(zip_derived_cl6767, plain,
% 7.25/1.67 (~ (in @ (ordered_pair @ sk__9 @ sk__10) @
% 7.25/1.67 (cartesian_product2 @ sk__11 @ sk__12))),
% 7.25/1.67 inference('demod', [status(thm)],
% 7.25/1.67 [zip_derived_cl4286, zip_derived_cl6758])).
% 7.25/1.67 thf(zip_derived_cl6911, plain,
% 7.25/1.67 ((~ (in @ sk__9 @ sk__11) | ~ (in @ sk__10 @ sk__12))),
% 7.25/1.67 inference('sup-', [status(thm)], [zip_derived_cl3472, zip_derived_cl6767])).
% 7.25/1.67 thf(zip_derived_cl4283, plain, ( (in @ sk__9 @ sk__11)),
% 7.25/1.67 inference('simplify', [status(thm)], [zip_derived_cl4273])).
% 7.25/1.67 thf(zip_derived_cl6758, plain, ( (in @ sk__10 @ sk__12)),
% 7.25/1.67 inference('simplify', [status(thm)], [zip_derived_cl6742])).
% 7.25/1.67 thf(zip_derived_cl6922, plain, ($false),
% 7.25/1.67 inference('demod', [status(thm)],
% 7.25/1.67 [zip_derived_cl6911, zip_derived_cl4283, zip_derived_cl6758])).
% 7.25/1.67
% 7.25/1.67 % SZS output end Refutation
% 7.25/1.67
% 7.25/1.67
% 7.25/1.67 % Terminating...
% 7.69/1.75 % Runner terminated.
% 7.69/1.76 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------