%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET951+1 : TPTP v9.2.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YvxptSLHnw true
% Computer : n022.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 0.55s 1.17s
% Output : Refutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET951+1 : TPTP v9.2.0. Released v3.2.0.
% 0.10/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.YvxptSLHnw true
% 0.13/0.34 % Computer : n022.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 12:53:53 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/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
% 0.51/0.62 % Total configuration time : 435
% 0.51/0.62 % Estimated wc time : 1092
% 0.51/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/1.17 % Solved by fo/fo5.sh.
% 0.55/1.17 % done 506 iterations in 0.400s
% 0.55/1.17 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/1.17 % SZS output start Refutation
% 0.55/1.17 thf(set_intersection2_type, type, set_intersection2: $i > $i > $i).
% 0.55/1.17 thf(sk__12_type, type, sk__12: $i).
% 0.55/1.17 thf(sk__8_type, type, sk__8: $i).
% 0.55/1.17 thf(sk__11_type, type, sk__11: $i).
% 0.55/1.17 thf(cartesian_product2_type, type, cartesian_product2: $i > $i > $i).
% 0.55/1.17 thf(sk__3_type, type, sk__3: $i > $i > $i > $i).
% 0.55/1.17 thf(in_type, type, in: $i > $i > $o).
% 0.55/1.17 thf(sk__4_type, type, sk__4: $i > $i > $i > $i).
% 0.55/1.17 thf(sk__10_type, type, sk__10: $i).
% 0.55/1.17 thf(sk__9_type, type, sk__9: $i).
% 0.55/1.17 thf('#_fresh_sk1_type', type, '#_fresh_sk1': $i > $i).
% 0.55/1.17 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 0.55/1.17 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.55/1.17 thf('#_fresh_sk2_type', type, '#_fresh_sk2': $i > $i).
% 0.55/1.17 thf(t104_zfmisc_1, conjecture,
% 0.55/1.17 (![A:$i,B:$i,C:$i,D:$i,E:$i]:
% 0.55/1.17 ( ~( ( in @
% 0.55/1.17 A @
% 0.55/1.17 ( set_intersection2 @
% 0.55/1.17 ( cartesian_product2 @ B @ C ) @ ( cartesian_product2 @ D @ E ) ) ) &
% 0.55/1.17 ( ![F:$i,G:$i]:
% 0.55/1.17 ( ~( ( ( A ) = ( ordered_pair @ F @ G ) ) &
% 0.55/1.17 ( in @ F @ ( set_intersection2 @ B @ D ) ) &
% 0.55/1.17 ( in @ G @ ( set_intersection2 @ C @ E ) ) ) ) ) ) ))).
% 0.55/1.17 thf(zf_stmt_0, negated_conjecture,
% 0.55/1.17 (~( ![A:$i,B:$i,C:$i,D:$i,E:$i]:
% 0.55/1.17 ( ~( ( in @
% 0.55/1.17 A @
% 0.55/1.17 ( set_intersection2 @
% 0.55/1.17 ( cartesian_product2 @ B @ C ) @
% 0.55/1.17 ( cartesian_product2 @ D @ E ) ) ) &
% 0.55/1.17 ( ![F:$i,G:$i]:
% 0.55/1.17 ( ~( ( ( A ) = ( ordered_pair @ F @ G ) ) &
% 0.55/1.17 ( in @ F @ ( set_intersection2 @ B @ D ) ) &
% 0.55/1.17 ( in @ G @ ( set_intersection2 @ C @ E ) ) ) ) ) ) ) )),
% 0.55/1.17 inference('cnf.neg', [status(esa)], [t104_zfmisc_1])).
% 0.55/1.17 thf(zip_derived_cl23, plain,
% 0.55/1.17 ( (in @ sk__8 @
% 0.55/1.17 (set_intersection2 @ (cartesian_product2 @ sk__9 @ sk__10) @
% 0.55/1.17 (cartesian_product2 @ sk__11 @ sk__12)))),
% 0.55/1.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/1.17 thf(commutativity_k3_xboole_0, axiom,
% 0.55/1.17 (![A:$i,B:$i]:
% 0.55/1.17 ( ( set_intersection2 @ A @ B ) = ( set_intersection2 @ B @ A ) ))).
% 0.55/1.17 thf(zip_derived_cl2, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i]:
% 0.55/1.17 ((set_intersection2 @ X1 @ X0) = (set_intersection2 @ X0 @ X1))),
% 0.55/1.17 inference('cnf', [status(esa)], [commutativity_k3_xboole_0])).
% 0.55/1.17 thf(d3_xboole_0, axiom,
% 0.55/1.17 (![A:$i,B:$i,C:$i]:
% 0.55/1.17 ( ( ( C ) = ( set_intersection2 @ A @ B ) ) <=>
% 0.55/1.17 ( ![D:$i]: ( ( in @ D @ C ) <=> ( ( in @ D @ A ) & ( in @ D @ B ) ) ) ) ))).
% 0.55/1.17 thf(zip_derived_cl12, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/1.17 (~ (in @ X0 @ X1)
% 0.55/1.17 | (in @ X0 @ X2)
% 0.55/1.17 | ((X1) != (set_intersection2 @ X3 @ X2)))),
% 0.55/1.17 inference('cnf', [status(esa)], [d3_xboole_0])).
% 0.55/1.17 thf(zip_derived_cl36, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.17 ( (in @ X1 @ X0) | ~ (in @ X1 @ (set_intersection2 @ X2 @ X0)))),
% 0.55/1.17 inference('eq_res', [status(thm)], [zip_derived_cl12])).
% 0.55/1.17 thf(zip_derived_cl37, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.17 (~ (in @ X2 @ (set_intersection2 @ X1 @ X0)) | (in @ X2 @ X1))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl36])).
% 0.55/1.17 thf(zip_derived_cl54, plain,
% 0.55/1.17 ( (in @ sk__8 @ (cartesian_product2 @ sk__9 @ sk__10))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl37])).
% 0.55/1.17 thf(d2_zfmisc_1, axiom,
% 0.55/1.17 (![A:$i,B:$i,C:$i]:
% 0.55/1.17 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 0.55/1.17 ( ![D:$i]:
% 0.55/1.17 ( ( in @ D @ C ) <=>
% 0.55/1.17 ( ?[E:$i,F:$i]:
% 0.55/1.17 ( ( in @ E @ A ) & ( in @ F @ B ) &
% 0.55/1.17 ( ( D ) = ( ordered_pair @ E @ F ) ) ) ) ) ) ))).
% 0.55/1.17 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 0.55/1.17 thf(zf_stmt_2, axiom,
% 0.55/1.17 (![F:$i,E:$i,D:$i,B:$i,A:$i]:
% 0.55/1.17 ( ( zip_tseitin_0 @ F @ E @ D @ B @ A ) <=>
% 0.55/1.17 ( ( ( D ) = ( ordered_pair @ E @ F ) ) & ( in @ F @ B ) & ( in @ E @ A ) ) ))).
% 0.55/1.17 thf(zf_stmt_3, axiom,
% 0.55/1.17 (![A:$i,B:$i,C:$i]:
% 0.55/1.17 ( ( ( C ) = ( cartesian_product2 @ A @ B ) ) <=>
% 0.55/1.17 ( ![D:$i]:
% 0.55/1.17 ( ( in @ D @ C ) <=>
% 0.55/1.17 ( ?[E:$i,F:$i]: ( zip_tseitin_0 @ F @ E @ D @ B @ A ) ) ) ) ))).
% 0.55/1.17 thf(zip_derived_cl8, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/1.17 (~ (in @ X0 @ X1)
% 0.55/1.17 | (zip_tseitin_0 @ (sk__4 @ X0 @ X2 @ X3) @
% 0.55/1.17 (sk__3 @ X0 @ X2 @ X3) @ X0 @ X2 @ X3)
% 0.55/1.17 | ((X1) != (cartesian_product2 @ X3 @ X2)))),
% 0.55/1.17 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.55/1.17 thf(zip_derived_cl76, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.17 ( (zip_tseitin_0 @ (sk__4 @ X2 @ X1 @ X0) @ (sk__3 @ X2 @ X1 @ X0) @
% 0.55/1.17 X2 @ X1 @ X0)
% 0.55/1.17 | ~ (in @ X2 @ (cartesian_product2 @ X0 @ X1)))),
% 0.55/1.17 inference('eq_res', [status(thm)], [zip_derived_cl8])).
% 0.55/1.17 thf(zip_derived_cl450, plain,
% 0.55/1.17 ( (zip_tseitin_0 @ (sk__4 @ sk__8 @ sk__10 @ sk__9) @
% 0.55/1.17 (sk__3 @ sk__8 @ sk__10 @ sk__9) @ sk__8 @ sk__10 @ sk__9)),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl76])).
% 0.55/1.17 thf(zip_derived_cl4, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/1.17 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4))),
% 0.55/1.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/1.17 thf(zip_derived_cl2027, plain,
% 0.55/1.17 ( (in @ (sk__4 @ sk__8 @ sk__10 @ sk__9) @ sk__10)),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl450, zip_derived_cl4])).
% 0.55/1.17 thf(zip_derived_cl450, plain,
% 0.55/1.17 ( (zip_tseitin_0 @ (sk__4 @ sk__8 @ sk__10 @ sk__9) @
% 0.55/1.17 (sk__3 @ sk__8 @ sk__10 @ sk__9) @ sk__8 @ sk__10 @ sk__9)),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl76])).
% 0.55/1.17 thf(zip_derived_cl3, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/1.17 (((X2) = (ordered_pair @ X0 @ X1))
% 0.55/1.17 | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 0.55/1.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/1.17 thf(zip_derived_cl2026, plain,
% 0.55/1.17 (((sk__8)
% 0.55/1.17 = (ordered_pair @ (sk__3 @ sk__8 @ sk__10 @ sk__9) @
% 0.55/1.17 (sk__4 @ sk__8 @ sk__10 @ sk__9)))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl450, zip_derived_cl3])).
% 0.55/1.17 thf(zip_derived_cl23, plain,
% 0.55/1.17 ( (in @ sk__8 @
% 0.55/1.17 (set_intersection2 @ (cartesian_product2 @ sk__9 @ sk__10) @
% 0.55/1.17 (cartesian_product2 @ sk__11 @ sk__12)))),
% 0.55/1.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/1.17 thf(zip_derived_cl36, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.17 ( (in @ X1 @ X0) | ~ (in @ X1 @ (set_intersection2 @ X2 @ X0)))),
% 0.55/1.17 inference('eq_res', [status(thm)], [zip_derived_cl12])).
% 0.55/1.17 thf(zip_derived_cl53, plain,
% 0.55/1.17 ( (in @ sk__8 @ (cartesian_product2 @ sk__11 @ sk__12))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl36])).
% 0.55/1.17 thf(zip_derived_cl76, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.17 ( (zip_tseitin_0 @ (sk__4 @ X2 @ X1 @ X0) @ (sk__3 @ X2 @ X1 @ X0) @
% 0.55/1.17 X2 @ X1 @ X0)
% 0.55/1.17 | ~ (in @ X2 @ (cartesian_product2 @ X0 @ X1)))),
% 0.55/1.17 inference('eq_res', [status(thm)], [zip_derived_cl8])).
% 0.55/1.17 thf(zip_derived_cl449, plain,
% 0.55/1.17 ( (zip_tseitin_0 @ (sk__4 @ sk__8 @ sk__12 @ sk__11) @
% 0.55/1.17 (sk__3 @ sk__8 @ sk__12 @ sk__11) @ sk__8 @ sk__12 @ sk__11)),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl76])).
% 0.55/1.17 thf(zip_derived_cl3, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/1.17 (((X2) = (ordered_pair @ X0 @ X1))
% 0.55/1.17 | ~ (zip_tseitin_0 @ X1 @ X0 @ X2 @ X3 @ X4))),
% 0.55/1.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/1.17 thf(zip_derived_cl735, plain,
% 0.55/1.17 (((sk__8)
% 0.55/1.17 = (ordered_pair @ (sk__3 @ sk__8 @ sk__12 @ sk__11) @
% 0.55/1.17 (sk__4 @ sk__8 @ sk__12 @ sk__11)))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl3])).
% 0.55/1.17 thf(zip_derived_cl735, plain,
% 0.55/1.17 (((sk__8)
% 0.55/1.17 = (ordered_pair @ (sk__3 @ sk__8 @ sk__12 @ sk__11) @
% 0.55/1.17 (sk__4 @ sk__8 @ sk__12 @ sk__11)))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl3])).
% 0.55/1.17 thf(t33_zfmisc_1, axiom,
% 0.55/1.17 (![A:$i,B:$i,C:$i,D:$i]:
% 0.55/1.17 ( ( ( ordered_pair @ A @ B ) = ( ordered_pair @ C @ D ) ) =>
% 0.55/1.17 ( ( ( A ) = ( C ) ) & ( ( B ) = ( D ) ) ) ))).
% 0.55/1.17 thf(zip_derived_cl24, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/1.17 (((X1) = (X0))
% 0.55/1.17 | ((ordered_pair @ X1 @ X3) != (ordered_pair @ X0 @ X2)))),
% 0.55/1.17 inference('cnf', [status(esa)], [t33_zfmisc_1])).
% 0.55/1.17 thf(zip_derived_cl28, plain,
% 0.55/1.17 (![X1 : $i, X3 : $i]: (('#_fresh_sk1' @ (ordered_pair @ X1 @ X3)) = (X1))),
% 0.55/1.17 inference('inj_rec', [status(thm)], [zip_derived_cl24])).
% 0.55/1.17 thf(zip_derived_cl823, plain,
% 0.55/1.17 ((('#_fresh_sk1' @ sk__8) = (sk__3 @ sk__8 @ sk__12 @ sk__11))),
% 0.55/1.17 inference('sup+', [status(thm)], [zip_derived_cl735, zip_derived_cl28])).
% 0.55/1.17 thf(zip_derived_cl835, plain,
% 0.55/1.17 (((sk__8)
% 0.55/1.17 = (ordered_pair @ ('#_fresh_sk1' @ sk__8) @
% 0.55/1.17 (sk__4 @ sk__8 @ sk__12 @ sk__11)))),
% 0.55/1.17 inference('demod', [status(thm)], [zip_derived_cl735, zip_derived_cl823])).
% 0.55/1.17 thf(zip_derived_cl835, plain,
% 0.55/1.17 (((sk__8)
% 0.55/1.17 = (ordered_pair @ ('#_fresh_sk1' @ sk__8) @
% 0.55/1.17 (sk__4 @ sk__8 @ sk__12 @ sk__11)))),
% 0.55/1.17 inference('demod', [status(thm)], [zip_derived_cl735, zip_derived_cl823])).
% 0.55/1.17 thf(zip_derived_cl25, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/1.17 (((X1) = (X0))
% 0.55/1.17 | ((ordered_pair @ X3 @ X1) != (ordered_pair @ X2 @ X0)))),
% 0.55/1.17 inference('cnf', [status(esa)], [t33_zfmisc_1])).
% 0.55/1.17 thf(zip_derived_cl32, plain,
% 0.55/1.17 (![X1 : $i, X3 : $i]: (('#_fresh_sk2' @ (ordered_pair @ X3 @ X1)) = (X1))),
% 0.55/1.17 inference('inj_rec', [status(thm)], [zip_derived_cl25])).
% 0.55/1.17 thf(zip_derived_cl860, plain,
% 0.55/1.17 ((('#_fresh_sk2' @ sk__8) = (sk__4 @ sk__8 @ sk__12 @ sk__11))),
% 0.55/1.17 inference('sup+', [status(thm)], [zip_derived_cl835, zip_derived_cl32])).
% 0.55/1.17 thf(zip_derived_cl940, plain,
% 0.55/1.17 (((sk__8)
% 0.55/1.17 = (ordered_pair @ ('#_fresh_sk1' @ sk__8) @ ('#_fresh_sk2' @ sk__8)))),
% 0.55/1.17 inference('demod', [status(thm)], [zip_derived_cl835, zip_derived_cl860])).
% 0.55/1.17 thf(zip_derived_cl25, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/1.17 (((X1) = (X0))
% 0.55/1.17 | ((ordered_pair @ X3 @ X1) != (ordered_pair @ X2 @ X0)))),
% 0.55/1.17 inference('cnf', [status(esa)], [t33_zfmisc_1])).
% 0.55/1.17 thf(zip_derived_cl961, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i]:
% 0.55/1.17 (((ordered_pair @ X1 @ X0) != (sk__8))
% 0.55/1.17 | ((X0) = ('#_fresh_sk2' @ sk__8)))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl940, zip_derived_cl25])).
% 0.55/1.17 thf(zip_derived_cl2062, plain,
% 0.55/1.17 ((((sk__8) != (sk__8))
% 0.55/1.17 | ((sk__4 @ sk__8 @ sk__10 @ sk__9) = ('#_fresh_sk2' @ sk__8)))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl2026, zip_derived_cl961])).
% 0.55/1.17 thf(zip_derived_cl2082, plain,
% 0.55/1.17 (((sk__4 @ sk__8 @ sk__10 @ sk__9) = ('#_fresh_sk2' @ sk__8))),
% 0.55/1.17 inference('simplify', [status(thm)], [zip_derived_cl2062])).
% 0.55/1.17 thf(zip_derived_cl2187, plain, ( (in @ ('#_fresh_sk2' @ sk__8) @ sk__10)),
% 0.55/1.17 inference('demod', [status(thm)],
% 0.55/1.17 [zip_derived_cl2027, zip_derived_cl2082])).
% 0.55/1.17 thf(zip_derived_cl449, plain,
% 0.55/1.17 ( (zip_tseitin_0 @ (sk__4 @ sk__8 @ sk__12 @ sk__11) @
% 0.55/1.17 (sk__3 @ sk__8 @ sk__12 @ sk__11) @ sk__8 @ sk__12 @ sk__11)),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl76])).
% 0.55/1.17 thf(zip_derived_cl4, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/1.17 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X0 @ X2 @ X3 @ X1 @ X4))),
% 0.55/1.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/1.17 thf(zip_derived_cl736, plain,
% 0.55/1.17 ( (in @ (sk__4 @ sk__8 @ sk__12 @ sk__11) @ sk__12)),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl4])).
% 0.55/1.17 thf(zip_derived_cl11, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.55/1.17 (~ (in @ X0 @ X1)
% 0.55/1.17 | ~ (in @ X0 @ X2)
% 0.55/1.17 | (in @ X0 @ X3)
% 0.55/1.17 | ((X3) != (set_intersection2 @ X1 @ X2)))),
% 0.55/1.17 inference('cnf', [status(esa)], [d3_xboole_0])).
% 0.55/1.17 thf(zip_derived_cl50, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.17 ( (in @ X2 @ (set_intersection2 @ X1 @ X0))
% 0.55/1.17 | ~ (in @ X2 @ X0)
% 0.55/1.17 | ~ (in @ X2 @ X1))),
% 0.55/1.17 inference('eq_res', [status(thm)], [zip_derived_cl11])).
% 0.55/1.17 thf(zip_derived_cl744, plain,
% 0.55/1.17 (![X0 : $i]:
% 0.55/1.17 (~ (in @ (sk__4 @ sk__8 @ sk__12 @ sk__11) @ X0)
% 0.55/1.17 | (in @ (sk__4 @ sk__8 @ sk__12 @ sk__11) @
% 0.55/1.17 (set_intersection2 @ X0 @ sk__12)))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl736, zip_derived_cl50])).
% 0.55/1.17 thf(zip_derived_cl860, plain,
% 0.55/1.17 ((('#_fresh_sk2' @ sk__8) = (sk__4 @ sk__8 @ sk__12 @ sk__11))),
% 0.55/1.17 inference('sup+', [status(thm)], [zip_derived_cl835, zip_derived_cl32])).
% 0.55/1.17 thf(zip_derived_cl860, plain,
% 0.55/1.17 ((('#_fresh_sk2' @ sk__8) = (sk__4 @ sk__8 @ sk__12 @ sk__11))),
% 0.55/1.17 inference('sup+', [status(thm)], [zip_derived_cl835, zip_derived_cl32])).
% 0.55/1.17 thf(zip_derived_cl939, plain,
% 0.55/1.17 (![X0 : $i]:
% 0.55/1.17 (~ (in @ ('#_fresh_sk2' @ sk__8) @ X0)
% 0.55/1.17 | (in @ ('#_fresh_sk2' @ sk__8) @ (set_intersection2 @ X0 @ sk__12)))),
% 0.55/1.17 inference('demod', [status(thm)],
% 0.55/1.17 [zip_derived_cl744, zip_derived_cl860, zip_derived_cl860])).
% 0.55/1.17 thf(zip_derived_cl2197, plain,
% 0.55/1.17 ( (in @ ('#_fresh_sk2' @ sk__8) @ (set_intersection2 @ sk__10 @ sk__12))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl2187, zip_derived_cl939])).
% 0.55/1.17 thf(zip_derived_cl450, plain,
% 0.55/1.17 ( (zip_tseitin_0 @ (sk__4 @ sk__8 @ sk__10 @ sk__9) @
% 0.55/1.17 (sk__3 @ sk__8 @ sk__10 @ sk__9) @ sk__8 @ sk__10 @ sk__9)),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl76])).
% 0.55/1.17 thf(zip_derived_cl5, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/1.17 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1))),
% 0.55/1.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/1.17 thf(zip_derived_cl2028, plain,
% 0.55/1.17 ( (in @ (sk__3 @ sk__8 @ sk__10 @ sk__9) @ sk__9)),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl450, zip_derived_cl5])).
% 0.55/1.17 thf(zip_derived_cl2026, plain,
% 0.55/1.17 (((sk__8)
% 0.55/1.17 = (ordered_pair @ (sk__3 @ sk__8 @ sk__10 @ sk__9) @
% 0.55/1.17 (sk__4 @ sk__8 @ sk__10 @ sk__9)))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl450, zip_derived_cl3])).
% 0.55/1.17 thf(zip_derived_cl28, plain,
% 0.55/1.17 (![X1 : $i, X3 : $i]: (('#_fresh_sk1' @ (ordered_pair @ X1 @ X3)) = (X1))),
% 0.55/1.17 inference('inj_rec', [status(thm)], [zip_derived_cl24])).
% 0.55/1.17 thf(zip_derived_cl2065, plain,
% 0.55/1.17 ((('#_fresh_sk1' @ sk__8) = (sk__3 @ sk__8 @ sk__10 @ sk__9))),
% 0.55/1.17 inference('sup+', [status(thm)], [zip_derived_cl2026, zip_derived_cl28])).
% 0.55/1.17 thf(zip_derived_cl2085, plain, ( (in @ ('#_fresh_sk1' @ sk__8) @ sk__9)),
% 0.55/1.17 inference('demod', [status(thm)],
% 0.55/1.17 [zip_derived_cl2028, zip_derived_cl2065])).
% 0.55/1.17 thf(zip_derived_cl449, plain,
% 0.55/1.17 ( (zip_tseitin_0 @ (sk__4 @ sk__8 @ sk__12 @ sk__11) @
% 0.55/1.17 (sk__3 @ sk__8 @ sk__12 @ sk__11) @ sk__8 @ sk__12 @ sk__11)),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl76])).
% 0.55/1.17 thf(zip_derived_cl5, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.55/1.17 ( (in @ X0 @ X1) | ~ (zip_tseitin_0 @ X2 @ X0 @ X3 @ X4 @ X1))),
% 0.55/1.17 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.55/1.17 thf(zip_derived_cl737, plain,
% 0.55/1.17 ( (in @ (sk__3 @ sk__8 @ sk__12 @ sk__11) @ sk__11)),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl449, zip_derived_cl5])).
% 0.55/1.17 thf(zip_derived_cl50, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.55/1.17 ( (in @ X2 @ (set_intersection2 @ X1 @ X0))
% 0.55/1.17 | ~ (in @ X2 @ X0)
% 0.55/1.17 | ~ (in @ X2 @ X1))),
% 0.55/1.17 inference('eq_res', [status(thm)], [zip_derived_cl11])).
% 0.55/1.17 thf(zip_derived_cl750, plain,
% 0.55/1.17 (![X0 : $i]:
% 0.55/1.17 (~ (in @ (sk__3 @ sk__8 @ sk__12 @ sk__11) @ X0)
% 0.55/1.17 | (in @ (sk__3 @ sk__8 @ sk__12 @ sk__11) @
% 0.55/1.17 (set_intersection2 @ X0 @ sk__11)))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl737, zip_derived_cl50])).
% 0.55/1.17 thf(zip_derived_cl823, plain,
% 0.55/1.17 ((('#_fresh_sk1' @ sk__8) = (sk__3 @ sk__8 @ sk__12 @ sk__11))),
% 0.55/1.17 inference('sup+', [status(thm)], [zip_derived_cl735, zip_derived_cl28])).
% 0.55/1.17 thf(zip_derived_cl823, plain,
% 0.55/1.17 ((('#_fresh_sk1' @ sk__8) = (sk__3 @ sk__8 @ sk__12 @ sk__11))),
% 0.55/1.17 inference('sup+', [status(thm)], [zip_derived_cl735, zip_derived_cl28])).
% 0.55/1.17 thf(zip_derived_cl838, plain,
% 0.55/1.17 (![X0 : $i]:
% 0.55/1.17 (~ (in @ ('#_fresh_sk1' @ sk__8) @ X0)
% 0.55/1.17 | (in @ ('#_fresh_sk1' @ sk__8) @ (set_intersection2 @ X0 @ sk__11)))),
% 0.55/1.17 inference('demod', [status(thm)],
% 0.55/1.17 [zip_derived_cl750, zip_derived_cl823, zip_derived_cl823])).
% 0.55/1.17 thf(zip_derived_cl2094, plain,
% 0.55/1.17 ( (in @ ('#_fresh_sk1' @ sk__8) @ (set_intersection2 @ sk__9 @ sk__11))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl2085, zip_derived_cl838])).
% 0.55/1.17 thf(zip_derived_cl22, plain,
% 0.55/1.17 (![X0 : $i, X1 : $i]:
% 0.55/1.17 (~ (in @ X0 @ (set_intersection2 @ sk__9 @ sk__11))
% 0.55/1.17 | ~ (in @ X1 @ (set_intersection2 @ sk__10 @ sk__12))
% 0.55/1.17 | ((sk__8) != (ordered_pair @ X0 @ X1)))),
% 0.55/1.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.55/1.17 thf(zip_derived_cl2159, plain,
% 0.55/1.17 (![X0 : $i]:
% 0.55/1.17 (((sk__8) != (ordered_pair @ ('#_fresh_sk1' @ sk__8) @ X0))
% 0.55/1.17 | ~ (in @ X0 @ (set_intersection2 @ sk__10 @ sk__12)))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl2094, zip_derived_cl22])).
% 0.55/1.17 thf(zip_derived_cl2360, plain,
% 0.55/1.17 (((sk__8)
% 0.55/1.17 != (ordered_pair @ ('#_fresh_sk1' @ sk__8) @ ('#_fresh_sk2' @ sk__8)))),
% 0.55/1.17 inference('sup-', [status(thm)], [zip_derived_cl2197, zip_derived_cl2159])).
% 0.55/1.17 thf(zip_derived_cl940, plain,
% 0.55/1.17 (((sk__8)
% 0.55/1.17 = (ordered_pair @ ('#_fresh_sk1' @ sk__8) @ ('#_fresh_sk2' @ sk__8)))),
% 0.55/1.17 inference('demod', [status(thm)], [zip_derived_cl835, zip_derived_cl860])).
% 0.55/1.17 thf(zip_derived_cl2365, plain, (((sk__8) != (sk__8))),
% 0.55/1.17 inference('demod', [status(thm)], [zip_derived_cl2360, zip_derived_cl940])).
% 0.55/1.17 thf(zip_derived_cl2366, plain, ($false),
% 0.55/1.17 inference('simplify', [status(thm)], [zip_derived_cl2365])).
% 0.55/1.17
% 0.55/1.17 % SZS output end Refutation
% 0.55/1.17
% 0.55/1.17
% 0.55/1.17 % Terminating...
% 4.58/1.23 % Runner terminated.
% 4.58/1.24 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------