%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU281+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.z9V3suxzis true
% Computer : n028.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 04:54:06 PM UTC 2025
% Result : Theorem 3.59s 1.14s
% Output : Refutation 3.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU281+1 : TPTP v9.2.0. Released v3.3.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.z9V3suxzis true
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 16:05:53 EDT 2025
% 0.20/0.34 % CPUTime :
% 0.20/0.34 % Running portfolio for 300 s
% 0.20/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.34 % Number of cores: 8
% 0.20/0.35 % Python version: Python 3.6.8
% 0.20/0.35 % Running in FO mode
% 0.52/0.62 % Total configuration time : 435
% 0.52/0.62 % Estimated wc time : 1092
% 0.52/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.52/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.52/0.68 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.52/0.68 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.52/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 3.59/1.14 % Solved by fo/fo7.sh.
% 3.59/1.14 % done 481 iterations in 0.373s
% 3.59/1.14 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 3.59/1.14 % SZS output start Refutation
% 3.59/1.14 thf(sk__1_type, type, sk__1: $i).
% 3.59/1.14 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 3.59/1.14 thf(sk__19_type, type, sk__19: $i > $i > $i).
% 3.59/1.14 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $i > $o).
% 3.59/1.14 thf(sk__16_type, type, sk__16: $i > $i).
% 3.59/1.14 thf(in_type, type, in: $i > $i > $o).
% 3.59/1.14 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 3.59/1.14 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 3.59/1.14 thf(sk__13_type, type, sk__13: $i > $i > $i).
% 3.59/1.14 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $o).
% 3.59/1.14 thf(sk__4_type, type, sk__4: $i > $i).
% 3.59/1.14 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $o).
% 3.59/1.14 thf(sk__type, type, sk_: $i).
% 3.59/1.14 thf(sk__15_type, type, sk__15: $i > $i > $i > $i).
% 3.59/1.14 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 3.59/1.14 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $o).
% 3.59/1.14 thf(sk__17_type, type, sk__17: $i > $i).
% 3.59/1.14 thf(singleton_type, type, singleton: $i > $i).
% 3.59/1.14 thf(sk__18_type, type, sk__18: $i > $i).
% 3.59/1.14 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 3.59/1.14 thf(sk__14_type, type, sk__14: $i > $i > $i).
% 3.59/1.14 thf(sk__3_type, type, sk__3: $i > $i).
% 3.59/1.14 thf(sk__2_type, type, sk__2: $i > $i).
% 3.59/1.14 thf(s1_tarski__e16_22__wellord2__2, axiom,
% 3.59/1.14 (![A:$i,B:$i]:
% 3.59/1.14 ( ( ![C:$i,D:$i,E:$i]:
% 3.59/1.14 ( ( ( ?[H:$i,I:$i]:
% 3.59/1.14 ( ( ( ordered_pair @ H @ I ) = ( E ) ) & ( in @ H @ A ) &
% 3.59/1.14 ( ( I ) = ( singleton @ H ) ) ) ) &
% 3.59/1.14 ( ( C ) = ( E ) ) &
% 3.59/1.14 ( ?[F:$i,G:$i]:
% 3.59/1.14 ( ( ( ordered_pair @ F @ G ) = ( D ) ) & ( in @ F @ A ) &
% 3.59/1.14 ( ( G ) = ( singleton @ F ) ) ) ) &
% 3.59/1.14 ( ( C ) = ( D ) ) ) =>
% 3.59/1.14 ( ( D ) = ( E ) ) ) ) =>
% 3.59/1.14 ( ?[C:$i]:
% 3.59/1.14 ( ![D:$i]:
% 3.59/1.14 ( ( in @ D @ C ) <=>
% 3.59/1.14 ( ?[E:$i]:
% 3.59/1.14 ( ( in @ E @ ( cartesian_product2 @ A @ B ) ) &
% 3.59/1.14 ( ( E ) = ( D ) ) &
% 3.59/1.14 ( ?[J:$i,K:$i]:
% 3.59/1.14 ( ( ( ordered_pair @ J @ K ) = ( D ) ) & ( in @ J @ A ) &
% 3.59/1.14 ( ( K ) = ( singleton @ J ) ) ) ) ) ) ) ) ) ))).
% 3.59/1.14 thf(zf_stmt_0, axiom,
% 3.59/1.14 (![E:$i,D:$i,C:$i,A:$i]:
% 3.59/1.14 ( ( ( zip_tseitin_2 @ E @ D @ C @ A ) => ( ( D ) = ( E ) ) ) =>
% 3.59/1.14 ( zip_tseitin_3 @ E @ D @ C @ A ) ))).
% 3.59/1.14 thf(zip_derived_cl37, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3)
% 3.59/1.14 | (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.59/1.14 thf(s1_xboole_0__e16_22__wellord2__1, conjecture,
% 3.59/1.14 (![A:$i,B:$i]:
% 3.59/1.14 ( ?[C:$i]:
% 3.59/1.14 ( ![D:$i]:
% 3.59/1.14 ( ( in @ D @ C ) <=>
% 3.59/1.14 ( ( in @ D @ ( cartesian_product2 @ A @ B ) ) &
% 3.59/1.14 ( ?[E:$i,F:$i]:
% 3.59/1.14 ( ( ( F ) = ( singleton @ E ) ) & ( in @ E @ A ) &
% 3.59/1.14 ( ( ordered_pair @ E @ F ) = ( D ) ) ) ) ) ) ) ))).
% 3.59/1.14 thf(zf_stmt_1, negated_conjecture,
% 3.59/1.14 (~( ![A:$i,B:$i]:
% 3.59/1.14 ( ?[C:$i]:
% 3.59/1.14 ( ![D:$i]:
% 3.59/1.14 ( ( in @ D @ C ) <=>
% 3.59/1.14 ( ( in @ D @ ( cartesian_product2 @ A @ B ) ) &
% 3.59/1.14 ( ?[E:$i,F:$i]:
% 3.59/1.14 ( ( ( F ) = ( singleton @ E ) ) & ( in @ E @ A ) &
% 3.59/1.14 ( ( ordered_pair @ E @ F ) = ( D ) ) ) ) ) ) ) ) )),
% 3.59/1.14 inference('cnf.neg', [status(esa)], [s1_xboole_0__e16_22__wellord2__1])).
% 3.59/1.14 thf(zip_derived_cl2, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (((ordered_pair @ (sk__3 @ X0) @ (sk__4 @ X0)) = (sk__2 @ X0))
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.59/1.14 thf(zip_derived_cl1, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (((sk__4 @ X0) = (singleton @ (sk__3 @ X0)))
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.59/1.14 thf(zip_derived_cl3, plain,
% 3.59/1.14 (![X0 : $i]: ( (in @ (sk__3 @ X0) @ sk_) | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.59/1.14 thf(zf_stmt_2, axiom,
% 3.59/1.14 (![K:$i,J:$i,D:$i,A:$i]:
% 3.59/1.14 ( ( zip_tseitin_4 @ K @ J @ D @ A ) <=>
% 3.59/1.14 ( ( ( K ) = ( singleton @ J ) ) & ( in @ J @ A ) &
% 3.59/1.14 ( ( ordered_pair @ J @ K ) = ( D ) ) ) ))).
% 3.59/1.14 thf(zip_derived_cl41, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 3.59/1.14 | ((ordered_pair @ X1 @ X0) != (X2))
% 3.59/1.14 | ~ (in @ X1 @ X3)
% 3.59/1.14 | ((X0) != (singleton @ X1)))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.59/1.14 thf(zip_derived_cl81, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.59/1.14 (~ (in @ X1 @ X0)
% 3.59/1.14 | ((ordered_pair @ X1 @ (singleton @ X1)) != (X2))
% 3.59/1.14 | (zip_tseitin_4 @ (singleton @ X1) @ X1 @ X2 @ X0))),
% 3.59/1.14 inference('eq_res', [status(thm)], [zip_derived_cl41])).
% 3.59/1.14 thf(zip_derived_cl91, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i]:
% 3.59/1.14 ( (zip_tseitin_4 @ (singleton @ X1) @ X1 @
% 3.59/1.14 (ordered_pair @ X1 @ (singleton @ X1)) @ X0)
% 3.59/1.14 | ~ (in @ X1 @ X0))),
% 3.59/1.14 inference('eq_res', [status(thm)], [zip_derived_cl81])).
% 3.59/1.14 thf(zip_derived_cl104, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_4 @ (singleton @ (sk__3 @ X0)) @ (sk__3 @ X0) @
% 3.59/1.14 (ordered_pair @ (sk__3 @ X0) @ (singleton @ (sk__3 @ X0))) @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl91])).
% 3.59/1.14 thf(zip_derived_cl137, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (zip_tseitin_4 @ (singleton @ (sk__3 @ X0)) @ (sk__3 @ X0) @
% 3.59/1.14 (ordered_pair @ (sk__3 @ X0) @ (sk__4 @ X0)) @ sk_)
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('sup+', [status(thm)], [zip_derived_cl1, zip_derived_cl104])).
% 3.59/1.14 thf(zip_derived_cl139, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_4 @ (singleton @ (sk__3 @ X0)) @ (sk__3 @ X0) @
% 3.59/1.14 (ordered_pair @ (sk__3 @ X0) @ (sk__4 @ X0)) @ sk_))),
% 3.59/1.14 inference('simplify', [status(thm)], [zip_derived_cl137])).
% 3.59/1.14 thf(zip_derived_cl144, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (zip_tseitin_4 @ (singleton @ (sk__3 @ X0)) @ (sk__3 @ X0) @
% 3.59/1.14 (sk__2 @ X0) @ sk_)
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl139])).
% 3.59/1.14 thf(zip_derived_cl146, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_4 @ (singleton @ (sk__3 @ X0)) @ (sk__3 @ X0) @
% 3.59/1.14 (sk__2 @ X0) @ sk_))),
% 3.59/1.14 inference('simplify', [status(thm)], [zip_derived_cl144])).
% 3.59/1.14 thf(zip_derived_cl0, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (in @ (sk__2 @ X0) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.59/1.14 thf(zf_stmt_3, axiom,
% 3.59/1.14 (![E:$i,D:$i,B:$i,A:$i]:
% 3.59/1.14 ( ( zip_tseitin_5 @ E @ D @ B @ A ) <=>
% 3.59/1.14 ( ( ?[J:$i,K:$i]: ( zip_tseitin_4 @ K @ J @ D @ A ) ) &
% 3.59/1.14 ( ( E ) = ( D ) ) & ( in @ E @ ( cartesian_product2 @ A @ B ) ) ) ))).
% 3.59/1.14 thf(zip_derived_cl45, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 3.59/1.14 ( (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 3.59/1.14 | ~ (in @ X0 @ (cartesian_product2 @ X3 @ X2))
% 3.59/1.14 | ((X0) != (X1))
% 3.59/1.14 | ~ (zip_tseitin_4 @ X4 @ X5 @ X1 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.59/1.14 thf(zip_derived_cl82, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.59/1.14 (~ (zip_tseitin_4 @ X3 @ X2 @ X1 @ X0)
% 3.59/1.14 | ~ (in @ X1 @ (cartesian_product2 @ X0 @ X4))
% 3.59/1.14 | (zip_tseitin_5 @ X1 @ X1 @ X4 @ X0))),
% 3.59/1.14 inference('eq_res', [status(thm)], [zip_derived_cl45])).
% 3.59/1.14 thf(zip_derived_cl95, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.59/1.14 ( (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ X0) @ (sk__2 @ X0) @ sk__1 @ sk_)
% 3.59/1.14 | ~ (zip_tseitin_4 @ X2 @ X1 @ (sk__2 @ X0) @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl0, zip_derived_cl82])).
% 3.59/1.14 thf(zip_derived_cl164, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ X0) @ (sk__2 @ X0) @ sk__1 @ sk_)
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl95])).
% 3.59/1.14 thf(zip_derived_cl165, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (zip_tseitin_5 @ (sk__2 @ X0) @ (sk__2 @ X0) @ sk__1 @ sk_)
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('simplify', [status(thm)], [zip_derived_cl164])).
% 3.59/1.14 thf(zf_stmt_4, type, zip_tseitin_6 : $i > $i > $i > $i > $o).
% 3.59/1.14 thf(zf_stmt_5, axiom,
% 3.59/1.14 (![D:$i,C:$i,B:$i,A:$i]:
% 3.59/1.14 ( ( zip_tseitin_6 @ D @ C @ B @ A ) =>
% 3.59/1.14 ( ( in @ D @ C ) <=> ( ?[E:$i]: ( zip_tseitin_5 @ E @ D @ B @ A ) ) ) ))).
% 3.59/1.14 thf(zf_stmt_6, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 3.59/1.14 thf(zf_stmt_7, type, zip_tseitin_4 : $i > $i > $i > $i > $o).
% 3.59/1.14 thf(zf_stmt_8, type, zip_tseitin_3 : $i > $i > $i > $i > $o).
% 3.59/1.14 thf(zf_stmt_9, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 3.59/1.14 thf(zf_stmt_10, axiom,
% 3.59/1.14 (![E:$i,D:$i,C:$i,A:$i]:
% 3.59/1.14 ( ( zip_tseitin_2 @ E @ D @ C @ A ) =>
% 3.59/1.14 ( ( ( C ) = ( D ) ) &
% 3.59/1.14 ( ?[F:$i,G:$i]: ( zip_tseitin_1 @ G @ F @ D @ A ) ) &
% 3.59/1.14 ( ( C ) = ( E ) ) &
% 3.59/1.14 ( ?[H:$i,I:$i]: ( zip_tseitin_0 @ I @ H @ E @ A ) ) ) ))).
% 3.59/1.14 thf(zf_stmt_11, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 3.59/1.14 thf(zf_stmt_12, axiom,
% 3.59/1.14 (![G:$i,F:$i,D:$i,A:$i]:
% 3.59/1.14 ( ( zip_tseitin_1 @ G @ F @ D @ A ) =>
% 3.59/1.14 ( ( ( G ) = ( singleton @ F ) ) & ( in @ F @ A ) &
% 3.59/1.14 ( ( ordered_pair @ F @ G ) = ( D ) ) ) ))).
% 3.59/1.14 thf(zf_stmt_13, type, zip_tseitin_0 : $i > $i > $i > $i > $o).
% 3.59/1.14 thf(zf_stmt_14, axiom,
% 3.59/1.14 (![I:$i,H:$i,E:$i,A:$i]:
% 3.59/1.14 ( ( zip_tseitin_0 @ I @ H @ E @ A ) =>
% 3.59/1.14 ( ( ( I ) = ( singleton @ H ) ) & ( in @ H @ A ) &
% 3.59/1.14 ( ( ordered_pair @ H @ I ) = ( E ) ) ) ))).
% 3.59/1.14 thf(zf_stmt_15, axiom,
% 3.59/1.14 (![A:$i,B:$i]:
% 3.59/1.14 ( ( ![C:$i,D:$i,E:$i]: ( zip_tseitin_3 @ E @ D @ C @ A ) ) =>
% 3.59/1.14 ( ?[C:$i]: ( ![D:$i]: ( zip_tseitin_6 @ D @ C @ B @ A ) ) ) ))).
% 3.59/1.14 thf(zip_derived_cl48, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.59/1.14 (~ (zip_tseitin_3 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_6 @ X1 @ (sk__19 @ X2 @ X0) @ X2 @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_15])).
% 3.59/1.14 thf(zip_derived_cl47, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 (~ (in @ X0 @ X1)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__15 @ X2 @ X3 @ X0) @ X0 @ X3 @ X2)
% 3.59/1.14 | ~ (zip_tseitin_6 @ X0 @ X1 @ X3 @ X2))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_5])).
% 3.59/1.14 thf(zip_derived_cl105, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.59/1.14 (~ (zip_tseitin_3 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__15 @ X0 @ X1 @ X2) @ X2 @ X1 @ X0)
% 3.59/1.14 | ~ (in @ X2 @ (sk__19 @ X1 @ X0)))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl47])).
% 3.59/1.14 thf(zip_derived_cl170, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i]:
% 3.59/1.14 ( (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ sk__1 @ sk_)
% 3.59/1.14 | (zip_tseitin_5 @
% 3.59/1.14 (sk__15 @ X0 @ X1 @ (sk__2 @ (sk__19 @ X1 @ X0))) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ X1 @ X0)
% 3.59/1.14 | ~ (zip_tseitin_3 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @
% 3.59/1.14 X0))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl105])).
% 3.59/1.14 thf(zip_derived_cl43, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 (((X1) = (X0)) | ~ (zip_tseitin_5 @ X1 @ X0 @ X2 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.59/1.14 thf(zip_derived_cl554, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i]:
% 3.59/1.14 (~ (zip_tseitin_3 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ sk__1 @ sk_)
% 3.59/1.14 | ((sk__15 @ X0 @ X1 @ (sk__2 @ (sk__19 @ X1 @ X0)))
% 3.59/1.14 = (sk__2 @ (sk__19 @ X1 @ X0))))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl170, zip_derived_cl43])).
% 3.59/1.14 thf(zip_derived_cl170, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i]:
% 3.59/1.14 ( (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ sk__1 @ sk_)
% 3.59/1.14 | (zip_tseitin_5 @
% 3.59/1.14 (sk__15 @ X0 @ X1 @ (sk__2 @ (sk__19 @ X1 @ X0))) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ X1 @ X0)
% 3.59/1.14 | ~ (zip_tseitin_3 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @
% 3.59/1.14 X0))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl105])).
% 3.59/1.14 thf(zip_derived_cl557, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i]:
% 3.59/1.14 ( (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ X1 @ X0)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ sk__1 @ sk_)
% 3.59/1.14 | ~ (zip_tseitin_3 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @
% 3.59/1.14 X0)
% 3.59/1.14 | ~ (zip_tseitin_3 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @
% 3.59/1.14 X0)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ sk__1 @ sk_))),
% 3.59/1.14 inference('sup+', [status(thm)], [zip_derived_cl554, zip_derived_cl170])).
% 3.59/1.14 thf(zip_derived_cl558, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i]:
% 3.59/1.14 (~ (zip_tseitin_3 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ sk__1 @ sk_)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ X1 @ X0))),
% 3.59/1.14 inference('simplify', [status(thm)], [zip_derived_cl557])).
% 3.59/1.14 thf(zip_derived_cl595, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i]:
% 3.59/1.14 ( (zip_tseitin_2 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ X1 @ X0)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ sk__1 @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl558])).
% 3.59/1.14 thf(zip_derived_cl677, plain,
% 3.59/1.14 (( (zip_tseitin_5 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 3.59/1.14 | (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_))),
% 3.59/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl595])).
% 3.59/1.14 thf(zip_derived_cl42, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 ( (zip_tseitin_4 @ (sk__14 @ X0 @ X1) @ (sk__13 @ X0 @ X1) @ X1 @ X0)
% 3.59/1.14 | ~ (zip_tseitin_5 @ X2 @ X1 @ X3 @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.59/1.14 thf(zip_derived_cl679, plain,
% 3.59/1.14 (( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | (zip_tseitin_4 @
% 3.59/1.14 (sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl677, zip_derived_cl42])).
% 3.59/1.14 thf(zip_derived_cl38, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 (((X1) = (singleton @ X0)) | ~ (zip_tseitin_4 @ X1 @ X0 @ X2 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.59/1.14 thf(zip_derived_cl761, plain,
% 3.59/1.14 (( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | ((sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_)))
% 3.59/1.14 = (singleton @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))))))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl679, zip_derived_cl38])).
% 3.59/1.14 thf(zip_derived_cl48, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.59/1.14 (~ (zip_tseitin_3 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_6 @ X1 @ (sk__19 @ X2 @ X0) @ X2 @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_15])).
% 3.59/1.14 thf(zip_derived_cl677, plain,
% 3.59/1.14 (( (zip_tseitin_5 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 3.59/1.14 | (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_))),
% 3.59/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl595])).
% 3.59/1.14 thf(zip_derived_cl46, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.59/1.14 (~ (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 3.59/1.14 | (in @ X1 @ X4)
% 3.59/1.14 | ~ (zip_tseitin_6 @ X1 @ X4 @ X2 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_5])).
% 3.59/1.14 thf(zip_derived_cl682, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | ~ (zip_tseitin_6 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ X0 @ sk__1 @
% 3.59/1.14 sk_)
% 3.59/1.14 | (in @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ X0))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl677, zip_derived_cl46])).
% 3.59/1.14 thf(zip_derived_cl679, plain,
% 3.59/1.14 (( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | (zip_tseitin_4 @
% 3.59/1.14 (sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl677, zip_derived_cl42])).
% 3.59/1.14 thf(zip_derived_cl39, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 ( (in @ X0 @ X1) | ~ (zip_tseitin_4 @ X2 @ X0 @ X3 @ X1))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.59/1.14 thf(zip_derived_cl762, plain,
% 3.59/1.14 (( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | (in @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl679, zip_derived_cl39])).
% 3.59/1.14 thf(zip_derived_cl4, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.59/1.14 (((X2) != (singleton @ X1))
% 3.59/1.14 | ((ordered_pair @ X1 @ X2) != (sk__2 @ X0))
% 3.59/1.14 | ~ (in @ X1 @ sk_)
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.59/1.14 thf(zip_derived_cl66, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i]:
% 3.59/1.14 (~ (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ~ (in @ X1 @ sk_)
% 3.59/1.14 | ((ordered_pair @ X1 @ (singleton @ X1)) != (sk__2 @ X0)))),
% 3.59/1.14 inference('eq_res', [status(thm)], [zip_derived_cl4])).
% 3.59/1.14 thf(zip_derived_cl766, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | ((ordered_pair @
% 3.59/1.14 (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (singleton @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_)))))
% 3.59/1.14 != (sk__2 @ X0))
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl762, zip_derived_cl66])).
% 3.59/1.14 thf(zip_derived_cl791, plain,
% 3.59/1.14 ((~ (zip_tseitin_6 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (sk__19 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 3.59/1.14 | (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | ~ (in @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ((ordered_pair @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (singleton @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_)))))
% 3.59/1.14 != (sk__2 @ (sk__19 @ sk__1 @ sk_)))
% 3.59/1.14 | (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl682, zip_derived_cl766])).
% 3.59/1.14 thf(zip_derived_cl795, plain,
% 3.59/1.14 ((((ordered_pair @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (singleton @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_)))))
% 3.59/1.14 != (sk__2 @ (sk__19 @ sk__1 @ sk_)))
% 3.59/1.14 | ~ (in @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | ~ (zip_tseitin_6 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (sk__19 @ sk__1 @ sk_) @ sk__1 @ sk_))),
% 3.59/1.14 inference('simplify', [status(thm)], [zip_derived_cl791])).
% 3.59/1.14 thf(zip_derived_cl677, plain,
% 3.59/1.14 (( (zip_tseitin_5 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk__1 @ sk_)
% 3.59/1.14 | (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_))),
% 3.59/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl595])).
% 3.59/1.14 thf(zip_derived_cl44, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 ( (in @ X0 @ (cartesian_product2 @ X1 @ X2))
% 3.59/1.14 | ~ (zip_tseitin_5 @ X0 @ X3 @ X2 @ X1))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.59/1.14 thf(zip_derived_cl681, plain,
% 3.59/1.14 (( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | (in @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (cartesian_product2 @ sk_ @ sk__1)))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl677, zip_derived_cl44])).
% 3.59/1.14 thf(zip_derived_cl804, plain,
% 3.59/1.14 ((~ (zip_tseitin_6 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (sk__19 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 3.59/1.14 | (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | ((ordered_pair @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (singleton @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_)))))
% 3.59/1.14 != (sk__2 @ (sk__19 @ sk__1 @ sk_))))),
% 3.59/1.14 inference('clc', [status(thm)], [zip_derived_cl795, zip_derived_cl681])).
% 3.59/1.14 thf(zip_derived_cl805, plain,
% 3.59/1.14 ((~ (zip_tseitin_3 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | ((ordered_pair @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (singleton @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_)))))
% 3.59/1.14 != (sk__2 @ (sk__19 @ sk__1 @ sk_)))
% 3.59/1.14 | (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl804])).
% 3.59/1.14 thf(zip_derived_cl37, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3)
% 3.59/1.14 | (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.59/1.14 thf(zip_derived_cl806, plain,
% 3.59/1.14 (( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | ((ordered_pair @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (singleton @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_)))))
% 3.59/1.14 != (sk__2 @ (sk__19 @ sk__1 @ sk_))))),
% 3.59/1.14 inference('clc', [status(thm)], [zip_derived_cl805, zip_derived_cl37])).
% 3.59/1.14 thf(zip_derived_cl807, plain,
% 3.59/1.14 ((((ordered_pair @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))))
% 3.59/1.14 != (sk__2 @ (sk__19 @ sk__1 @ sk_)))
% 3.59/1.14 | (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl761, zip_derived_cl806])).
% 3.59/1.14 thf(zip_derived_cl808, plain,
% 3.59/1.14 (( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | ((ordered_pair @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))))
% 3.59/1.14 != (sk__2 @ (sk__19 @ sk__1 @ sk_))))),
% 3.59/1.14 inference('simplify', [status(thm)], [zip_derived_cl807])).
% 3.59/1.14 thf(zip_derived_cl679, plain,
% 3.59/1.14 (( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | (zip_tseitin_4 @
% 3.59/1.14 (sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl677, zip_derived_cl42])).
% 3.59/1.14 thf(zip_derived_cl40, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 (((ordered_pair @ X1 @ X2) = (X0))
% 3.59/1.14 | ~ (zip_tseitin_4 @ X2 @ X1 @ X0 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.59/1.14 thf(zip_derived_cl763, plain,
% 3.59/1.14 (( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @
% 3.59/1.14 sk_)
% 3.59/1.14 | ((ordered_pair @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))))
% 3.59/1.14 = (sk__2 @ (sk__19 @ sk__1 @ sk_))))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl679, zip_derived_cl40])).
% 3.59/1.14 thf(zip_derived_cl809, plain,
% 3.59/1.14 ( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @ sk_)),
% 3.59/1.14 inference('clc', [status(thm)], [zip_derived_cl808, zip_derived_cl763])).
% 3.59/1.14 thf(zip_derived_cl809, plain,
% 3.59/1.14 ( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @ (sk__16 @ sk_) @ sk_)),
% 3.59/1.14 inference('clc', [status(thm)], [zip_derived_cl808, zip_derived_cl763])).
% 3.59/1.14 thf(zip_derived_cl32, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 (((X1) = (X0)) | ~ (zip_tseitin_2 @ X2 @ X0 @ X1 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.59/1.14 thf(zip_derived_cl810, plain, (((sk__16 @ sk_) = (sk__17 @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl809, zip_derived_cl32])).
% 3.59/1.14 thf(zip_derived_cl818, plain,
% 3.59/1.14 ( (zip_tseitin_2 @ (sk__18 @ sk_) @ (sk__16 @ sk_) @ (sk__16 @ sk_) @ sk_)),
% 3.59/1.14 inference('demod', [status(thm)], [zip_derived_cl809, zip_derived_cl810])).
% 3.59/1.14 thf(zip_derived_cl34, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 (((X1) = (X0)) | ~ (zip_tseitin_2 @ X0 @ X2 @ X1 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_10])).
% 3.59/1.14 thf(zip_derived_cl828, plain, (((sk__16 @ sk_) = (sk__18 @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl818, zip_derived_cl34])).
% 3.59/1.14 thf(zip_derived_cl558, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i]:
% 3.59/1.14 (~ (zip_tseitin_3 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ sk__1 @ sk_)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X1 @ X0)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X1 @ X0)) @ X1 @ X0))),
% 3.59/1.14 inference('simplify', [status(thm)], [zip_derived_cl557])).
% 3.59/1.14 thf(zip_derived_cl832, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (~ (zip_tseitin_3 @ (sk__16 @ sk_) @ (sk__17 @ sk_) @
% 3.59/1.14 (sk__16 @ sk_) @ sk_)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X0 @ sk_)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X0 @ sk_)) @ X0 @ sk_)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X0 @ sk_)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X0 @ sk_)) @ sk__1 @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl828, zip_derived_cl558])).
% 3.59/1.14 thf(zip_derived_cl810, plain, (((sk__16 @ sk_) = (sk__17 @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl809, zip_derived_cl32])).
% 3.59/1.14 thf(zip_derived_cl36, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 ( (zip_tseitin_3 @ X0 @ X1 @ X2 @ X3) | ((X1) != (X0)))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_0])).
% 3.59/1.14 thf(zip_derived_cl67, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_3 @ X2 @ X2 @ X1 @ X0)),
% 3.59/1.14 inference('eq_res', [status(thm)], [zip_derived_cl36])).
% 3.59/1.14 thf(zip_derived_cl839, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X0 @ sk_)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X0 @ sk_)) @ X0 @ sk_)
% 3.59/1.14 | (zip_tseitin_5 @ (sk__2 @ (sk__19 @ X0 @ sk_)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ X0 @ sk_)) @ sk__1 @ sk_))),
% 3.59/1.14 inference('demod', [status(thm)],
% 3.59/1.14 [zip_derived_cl832, zip_derived_cl810, zip_derived_cl67])).
% 3.59/1.14 thf(zip_derived_cl1091, plain,
% 3.59/1.14 ( (zip_tseitin_5 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 3.59/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl839])).
% 3.59/1.14 thf(zip_derived_cl42, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 ( (zip_tseitin_4 @ (sk__14 @ X0 @ X1) @ (sk__13 @ X0 @ X1) @ X1 @ X0)
% 3.59/1.14 | ~ (zip_tseitin_5 @ X2 @ X1 @ X3 @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.59/1.14 thf(zip_derived_cl1093, plain,
% 3.59/1.14 ( (zip_tseitin_4 @ (sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk_)),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1091, zip_derived_cl42])).
% 3.59/1.14 thf(zip_derived_cl39, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 ( (in @ X0 @ X1) | ~ (zip_tseitin_4 @ X2 @ X0 @ X3 @ X1))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.59/1.14 thf(zip_derived_cl1201, plain,
% 3.59/1.14 ( (in @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @ sk_)),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1093, zip_derived_cl39])).
% 3.59/1.14 thf(zip_derived_cl66, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i]:
% 3.59/1.14 (~ (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ~ (in @ X1 @ sk_)
% 3.59/1.14 | ((ordered_pair @ X1 @ (singleton @ X1)) != (sk__2 @ X0)))),
% 3.59/1.14 inference('eq_res', [status(thm)], [zip_derived_cl4])).
% 3.59/1.14 thf(zip_derived_cl1205, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (((ordered_pair @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (singleton @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_)))))
% 3.59/1.14 != (sk__2 @ X0))
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1201, zip_derived_cl66])).
% 3.59/1.14 thf(zip_derived_cl1093, plain,
% 3.59/1.14 ( (zip_tseitin_4 @ (sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk_)),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1091, zip_derived_cl42])).
% 3.59/1.14 thf(zip_derived_cl38, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 (((X1) = (singleton @ X0)) | ~ (zip_tseitin_4 @ X1 @ X0 @ X2 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.59/1.14 thf(zip_derived_cl1200, plain,
% 3.59/1.14 (((sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_)))
% 3.59/1.14 = (singleton @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_)))))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1093, zip_derived_cl38])).
% 3.59/1.14 thf(zip_derived_cl1093, plain,
% 3.59/1.14 ( (zip_tseitin_4 @ (sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk_)),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1091, zip_derived_cl42])).
% 3.59/1.14 thf(zip_derived_cl40, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 (((ordered_pair @ X1 @ X2) = (X0))
% 3.59/1.14 | ~ (zip_tseitin_4 @ X2 @ X1 @ X0 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_2])).
% 3.59/1.14 thf(zip_derived_cl1202, plain,
% 3.59/1.14 (((ordered_pair @ (sk__13 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))) @
% 3.59/1.14 (sk__14 @ sk_ @ (sk__2 @ (sk__19 @ sk__1 @ sk_))))
% 3.59/1.14 = (sk__2 @ (sk__19 @ sk__1 @ sk_)))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1093, zip_derived_cl40])).
% 3.59/1.14 thf(zip_derived_cl1233, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (((sk__2 @ (sk__19 @ sk__1 @ sk_)) != (sk__2 @ X0))
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('demod', [status(thm)],
% 3.59/1.14 [zip_derived_cl1205, zip_derived_cl1200, zip_derived_cl1202])).
% 3.59/1.14 thf(zip_derived_cl2, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (((ordered_pair @ (sk__3 @ X0) @ (sk__4 @ X0)) = (sk__2 @ X0))
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.59/1.14 thf(zip_derived_cl48, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.59/1.14 (~ (zip_tseitin_3 @ (sk__18 @ X0) @ (sk__17 @ X0) @ (sk__16 @ X0) @ X0)
% 3.59/1.14 | (zip_tseitin_6 @ X1 @ (sk__19 @ X2 @ X0) @ X2 @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_15])).
% 3.59/1.14 thf(zip_derived_cl1091, plain,
% 3.59/1.14 ( (zip_tseitin_5 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 3.59/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl839])).
% 3.59/1.14 thf(zip_derived_cl46, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 3.59/1.14 (~ (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 3.59/1.14 | (in @ X1 @ X4)
% 3.59/1.14 | ~ (zip_tseitin_6 @ X1 @ X4 @ X2 @ X3))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_5])).
% 3.59/1.14 thf(zip_derived_cl1096, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (~ (zip_tseitin_6 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ X0 @ sk__1 @
% 3.59/1.14 sk_)
% 3.59/1.14 | (in @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ X0))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1091, zip_derived_cl46])).
% 3.59/1.14 thf(zip_derived_cl1, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (((sk__4 @ X0) = (singleton @ (sk__3 @ X0)))
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.59/1.14 thf(zip_derived_cl4, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.59/1.14 (((X2) != (singleton @ X1))
% 3.59/1.14 | ((ordered_pair @ X1 @ X2) != (sk__2 @ X0))
% 3.59/1.14 | ~ (in @ X1 @ sk_)
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ~ (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.59/1.14 thf(zip_derived_cl72, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.59/1.14 (((X1) != (sk__4 @ X0))
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | ~ (in @ (sk__2 @ X2) @ X2)
% 3.59/1.14 | ~ (in @ (sk__2 @ X2) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ~ (in @ (sk__3 @ X0) @ sk_)
% 3.59/1.14 | ((ordered_pair @ (sk__3 @ X0) @ X1) != (sk__2 @ X2)))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl4])).
% 3.59/1.14 thf(zip_derived_cl3, plain,
% 3.59/1.14 (![X0 : $i]: ( (in @ (sk__3 @ X0) @ sk_) | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_1])).
% 3.59/1.14 thf(zip_derived_cl120, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]:
% 3.59/1.14 (((ordered_pair @ (sk__3 @ X0) @ X1) != (sk__2 @ X2))
% 3.59/1.14 | ~ (in @ (sk__2 @ X2) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ~ (in @ (sk__2 @ X2) @ X2)
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | ((X1) != (sk__4 @ X0)))),
% 3.59/1.14 inference('clc', [status(thm)], [zip_derived_cl72, zip_derived_cl3])).
% 3.59/1.14 thf(zip_derived_cl121, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i]:
% 3.59/1.14 ( (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | ~ (in @ (sk__2 @ X1) @ X1)
% 3.59/1.14 | ~ (in @ (sk__2 @ X1) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ((ordered_pair @ (sk__3 @ X0) @ (sk__4 @ X0)) != (sk__2 @ X1)))),
% 3.59/1.14 inference('eq_res', [status(thm)], [zip_derived_cl120])).
% 3.59/1.14 thf(zip_derived_cl1130, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (~ (zip_tseitin_6 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (sk__19 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 3.59/1.14 | ((ordered_pair @ (sk__3 @ X0) @ (sk__4 @ X0))
% 3.59/1.14 != (sk__2 @ (sk__19 @ sk__1 @ sk_)))
% 3.59/1.14 | ~ (in @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1096, zip_derived_cl121])).
% 3.59/1.14 thf(zip_derived_cl1091, plain,
% 3.59/1.14 ( (zip_tseitin_5 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (sk__2 @ (sk__19 @ sk__1 @ sk_)) @ sk__1 @ sk_)),
% 3.59/1.14 inference('eq_fact', [status(thm)], [zip_derived_cl839])).
% 3.59/1.14 thf(zip_derived_cl44, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 3.59/1.14 ( (in @ X0 @ (cartesian_product2 @ X1 @ X2))
% 3.59/1.14 | ~ (zip_tseitin_5 @ X0 @ X3 @ X2 @ X1))),
% 3.59/1.14 inference('cnf', [status(esa)], [zf_stmt_3])).
% 3.59/1.14 thf(zip_derived_cl1095, plain,
% 3.59/1.14 ( (in @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (cartesian_product2 @ sk_ @ sk__1))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1091, zip_derived_cl44])).
% 3.59/1.14 thf(zip_derived_cl1145, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (~ (zip_tseitin_6 @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (sk__19 @ sk__1 @ sk_) @ sk__1 @ sk_)
% 3.59/1.14 | ((ordered_pair @ (sk__3 @ X0) @ (sk__4 @ X0))
% 3.59/1.14 != (sk__2 @ (sk__19 @ sk__1 @ sk_)))
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('demod', [status(thm)],
% 3.59/1.14 [zip_derived_cl1130, zip_derived_cl1095])).
% 3.59/1.14 thf(zip_derived_cl1152, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (~ (zip_tseitin_3 @ (sk__18 @ sk_) @ (sk__17 @ sk_) @
% 3.59/1.14 (sk__16 @ sk_) @ sk_)
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | ((ordered_pair @ (sk__3 @ X0) @ (sk__4 @ X0))
% 3.59/1.14 != (sk__2 @ (sk__19 @ sk__1 @ sk_))))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl1145])).
% 3.59/1.14 thf(zip_derived_cl828, plain, (((sk__16 @ sk_) = (sk__18 @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl818, zip_derived_cl34])).
% 3.59/1.14 thf(zip_derived_cl810, plain, (((sk__16 @ sk_) = (sk__17 @ sk_))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl809, zip_derived_cl32])).
% 3.59/1.14 thf(zip_derived_cl67, plain,
% 3.59/1.14 (![X0 : $i, X1 : $i, X2 : $i]: (zip_tseitin_3 @ X2 @ X2 @ X1 @ X0)),
% 3.59/1.14 inference('eq_res', [status(thm)], [zip_derived_cl36])).
% 3.59/1.14 thf(zip_derived_cl1153, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | ((ordered_pair @ (sk__3 @ X0) @ (sk__4 @ X0))
% 3.59/1.14 != (sk__2 @ (sk__19 @ sk__1 @ sk_))))),
% 3.59/1.14 inference('demod', [status(thm)],
% 3.59/1.14 [zip_derived_cl1152, zip_derived_cl828, zip_derived_cl810,
% 3.59/1.14 zip_derived_cl67])).
% 3.59/1.14 thf(zip_derived_cl1154, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (((sk__2 @ X0) != (sk__2 @ (sk__19 @ sk__1 @ sk_)))
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | (in @ (sk__2 @ X0) @ X0))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1153])).
% 3.59/1.14 thf(zip_derived_cl1155, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 ( (in @ (sk__2 @ X0) @ X0)
% 3.59/1.14 | ((sk__2 @ X0) != (sk__2 @ (sk__19 @ sk__1 @ sk_))))),
% 3.59/1.14 inference('simplify', [status(thm)], [zip_derived_cl1154])).
% 3.59/1.14 thf(zip_derived_cl1234, plain,
% 3.59/1.14 (![X0 : $i]:
% 3.59/1.14 (~ (in @ (sk__2 @ X0) @ (cartesian_product2 @ sk_ @ sk__1))
% 3.59/1.14 | ((sk__2 @ (sk__19 @ sk__1 @ sk_)) != (sk__2 @ X0)))),
% 3.59/1.14 inference('clc', [status(thm)], [zip_derived_cl1233, zip_derived_cl1155])).
% 3.59/1.14 thf(zip_derived_cl1235, plain,
% 3.59/1.14 (~ (in @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (cartesian_product2 @ sk_ @ sk__1))),
% 3.59/1.14 inference('eq_res', [status(thm)], [zip_derived_cl1234])).
% 3.59/1.14 thf(zip_derived_cl1095, plain,
% 3.59/1.14 ( (in @ (sk__2 @ (sk__19 @ sk__1 @ sk_)) @
% 3.59/1.14 (cartesian_product2 @ sk_ @ sk__1))),
% 3.59/1.14 inference('sup-', [status(thm)], [zip_derived_cl1091, zip_derived_cl44])).
% 3.59/1.14 thf(zip_derived_cl1236, plain, ($false),
% 3.59/1.14 inference('demod', [status(thm)],
% 3.59/1.14 [zip_derived_cl1235, zip_derived_cl1095])).
% 3.59/1.14
% 3.59/1.14 % SZS output end Refutation
% 3.59/1.14
% 3.59/1.14
% 3.59/1.14 % Terminating...
% 4.43/1.25 % Runner terminated.
% 4.43/1.26 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------