%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN036^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.je1pvChsDK true
% Computer : n002.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 05:03:46 PM UTC 2025
% Result : Theorem 0.67s 0.98s
% Output : Refutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN036^5 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.je1pvChsDK true
% 0.15/0.38 % Computer : n002.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Wed Oct 1 13:36:23 EDT 2025
% 0.15/0.38 % CPUTime :
% 0.15/0.38 % Running portfolio for 300 s
% 0.15/0.38 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.38 % Number of cores: 8
% 0.15/0.38 % Python version: Python 3.6.8
% 0.15/0.39 % Running in HO mode
% 0.65/0.74 % Total configuration time : 828
% 0.65/0.74 % Estimated wc time : 1656
% 0.65/0.74 % Estimated cpu time (8 cpus) : 207.0
% 0.65/0.79 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.65/0.82 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.65/0.82 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.65/0.83 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.65/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.65/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.65/0.83 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.67/0.89 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.67/0.98 % Solved by lams/40_c.s.sh.
% 0.67/0.98 % done 276 iterations in 0.135s
% 0.67/0.98 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.67/0.98 % SZS output start Refutation
% 0.67/0.98 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 0.67/0.98 thf(sk__2_type, type, sk__2: $i).
% 0.67/0.98 thf(sk__5_type, type, sk__5: $i).
% 0.67/0.98 thf(sk__13_type, type, sk__13: $i).
% 0.67/0.98 thf(zip_tseitin_1_type, type, zip_tseitin_1: $o).
% 0.67/0.98 thf(cQ_type, type, cQ: $i > $o).
% 0.67/0.98 thf(sk__9_type, type, sk__9: $i).
% 0.67/0.98 thf(sk__3_type, type, sk__3: $i).
% 0.67/0.98 thf(sk__12_type, type, sk__12: $i > $i).
% 0.67/0.98 thf(zip_tseitin_5_type, type, zip_tseitin_5: $o).
% 0.67/0.98 thf(sk__type, type, sk_: $i).
% 0.67/0.98 thf(sk__15_type, type, sk__15: $i > $i).
% 0.67/0.98 thf(sk__14_type, type, sk__14: $i).
% 0.67/0.98 thf(sk__4_type, type, sk__4: $i > $i).
% 0.67/0.98 thf(sk__1_type, type, sk__1: $i).
% 0.67/0.98 thf(sk__11_type, type, sk__11: $i).
% 0.67/0.98 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.67/0.98 thf(cP_type, type, cP: $i > $o).
% 0.67/0.98 thf(sk__8_type, type, sk__8: $i).
% 0.67/0.98 thf(sk__7_type, type, sk__7: $i > $i).
% 0.67/0.98 thf(sk__10_type, type, sk__10: $i).
% 0.67/0.98 thf(zip_tseitin_2_type, type, zip_tseitin_2: $o).
% 0.67/0.98 thf(zip_tseitin_4_type, type, zip_tseitin_4: $o).
% 0.67/0.98 thf(sk__6_type, type, sk__6: $i).
% 0.67/0.98 thf(cX2129, conjecture,
% 0.67/0.98 (( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( cP @ Xx ) <=> ( cP @ Xy ) ) ) ) <=>
% 0.67/0.98 ( ( ?[Xx:$i]: ( cQ @ Xx ) ) <=> ( ![Xy:$i]: ( cP @ Xy ) ) ) ) <=>
% 0.67/0.98 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( cQ @ Xx ) <=> ( cQ @ Xy ) ) ) ) <=>
% 0.67/0.98 ( ( ?[Xx:$i]: ( cP @ Xx ) ) <=> ( ![Xy:$i]: ( cQ @ Xy ) ) ) ))).
% 0.67/0.98 thf(zf_stmt_0, axiom,
% 0.67/0.98 (( zip_tseitin_5 ) <=>
% 0.67/0.98 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( zip_tseitin_3 @ Xy @ Xx ) ) ) <=>
% 0.67/0.98 ( zip_tseitin_4 ) ))).
% 0.67/0.98 thf(zip_derived_cl22, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_5)
% 0.67/0.98 | ~ (zip_tseitin_4)
% 0.67/0.98 | ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.67/0.98 thf(zf_stmt_1, axiom,
% 0.67/0.98 (( zip_tseitin_4 ) <=>
% 0.67/0.98 ( ( ?[Xx:$i]: ( cP @ Xx ) ) <=> ( ![Xy:$i]: ( cQ @ Xy ) ) ))).
% 0.67/0.98 thf(zip_derived_cl19, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_4) | (cQ @ X0) | (cP @ sk__9))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.67/0.98 thf(zf_stmt_2, axiom,
% 0.67/0.98 (( zip_tseitin_1 ) <=>
% 0.67/0.98 ( ( ?[Xx:$i]: ( cQ @ Xx ) ) <=> ( ![Xy:$i]: ( cP @ Xy ) ) ))).
% 0.67/0.98 thf(zip_derived_cl5, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cQ @ X0) | (cP @ X1) | ~ (zip_tseitin_1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.67/0.98 thf(zf_stmt_3, axiom,
% 0.67/0.98 (![Xy:$i,Xx:$i]:
% 0.67/0.98 ( ( zip_tseitin_3 @ Xy @ Xx ) <=> ( ( cQ @ Xx ) <=> ( cQ @ Xy ) ) ))).
% 0.67/0.98 thf(zip_derived_cl14, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_3 @ X0 @ X1) | ~ (cQ @ X0) | ~ (cQ @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.67/0.98 thf(zf_stmt_4, axiom,
% 0.67/0.98 (![Xy:$i,Xx:$i]:
% 0.67/0.98 ( ( zip_tseitin_0 @ Xy @ Xx ) <=> ( ( cP @ Xx ) <=> ( cP @ Xy ) ) ))).
% 0.67/0.98 thf(zip_derived_cl3, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_0 @ X0 @ X1) | (cP @ X0) | (cP @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.67/0.98 thf(zip_derived_cl15, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_3 @ X0 @ X1) | (cQ @ X0) | (cQ @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.67/0.98 thf(zf_stmt_5, type, zip_tseitin_5 : $o).
% 0.67/0.98 thf(zf_stmt_6, type, zip_tseitin_4 : $o).
% 0.67/0.98 thf(zf_stmt_7, type, zip_tseitin_3 : $i > $i > $o).
% 0.67/0.98 thf(zf_stmt_8, type, zip_tseitin_2 : $o).
% 0.67/0.98 thf(zf_stmt_9, axiom,
% 0.67/0.98 (( zip_tseitin_2 ) <=>
% 0.67/0.98 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( zip_tseitin_0 @ Xy @ Xx ) ) ) <=>
% 0.67/0.98 ( zip_tseitin_1 ) ))).thf(zf_stmt_10, type, zip_tseitin_1 : $o).
% 0.67/0.98 thf(zf_stmt_11, type, zip_tseitin_0 : $i > $i > $o).
% 0.67/0.98 thf(zf_stmt_12, conjecture, (( zip_tseitin_2 ) <=> ( zip_tseitin_5 ))).
% 0.67/0.98 thf(zf_stmt_13, negated_conjecture,
% 0.67/0.98 (~( ( zip_tseitin_2 ) <=> ( zip_tseitin_5 ) )),
% 0.67/0.98 inference('cnf.neg', [status(esa)], [zf_stmt_12])).
% 0.67/0.98 thf(zip_derived_cl24, plain, (( (zip_tseitin_5) | (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.67/0.98 thf(zip_derived_cl21, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | ~ (zip_tseitin_5))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.67/0.98 thf(zip_derived_cl59, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl21])).
% 0.67/0.98 thf(zip_derived_cl119, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (cQ @ X0)
% 0.67/0.98 | (cQ @ (sk__15 @ X0))
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl59])).
% 0.67/0.98 thf(zip_derived_cl19, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_4) | (cQ @ X0) | (cP @ sk__9))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.67/0.98 thf(zip_derived_cl14, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_3 @ X0 @ X1) | ~ (cQ @ X0) | ~ (cQ @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.67/0.98 thf(zip_derived_cl59, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl21])).
% 0.67/0.98 thf(zip_derived_cl120, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (cQ @ X0)
% 0.67/0.98 | ~ (cQ @ (sk__15 @ X0))
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl59])).
% 0.67/0.98 thf(zip_derived_cl154, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (cP @ sk__9)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | ~ (cQ @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl120])).
% 0.67/0.98 thf(zip_derived_cl159, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (cQ @ X0) | (zip_tseitin_2) | (zip_tseitin_4) | (cP @ sk__9))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl154])).
% 0.67/0.98 thf(zip_derived_cl19, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_4) | (cQ @ X0) | (cP @ sk__9))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.67/0.98 thf(zip_derived_cl162, plain,
% 0.67/0.98 (( (cP @ sk__9) | (zip_tseitin_4) | (zip_tseitin_2))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl159, zip_derived_cl19])).
% 0.67/0.98 thf(zip_derived_cl11, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_2) | (zip_tseitin_1) | (zip_tseitin_0 @ X0 @ sk__5))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.67/0.98 thf(zip_derived_cl0, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 (~ (cP @ X0) | (cP @ X1) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.67/0.98 thf(zip_derived_cl35, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1) | (zip_tseitin_2) | (cP @ sk__5) | ~ (cP @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 0.67/0.98 thf(zip_derived_cl163, plain,
% 0.67/0.98 (( (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (cP @ sk__5)
% 0.67/0.98 | (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl162, zip_derived_cl35])).
% 0.67/0.98 thf(zip_derived_cl165, plain,
% 0.67/0.98 (( (zip_tseitin_1) | (cP @ sk__5) | (zip_tseitin_4) | (zip_tseitin_2))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl163])).
% 0.67/0.98 thf(zip_derived_cl11, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_2) | (zip_tseitin_1) | (zip_tseitin_0 @ X0 @ sk__5))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.67/0.98 thf(zip_derived_cl1, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 (~ (cP @ X0) | (cP @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.67/0.98 thf(zip_derived_cl45, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1) | (zip_tseitin_2) | (cP @ X0) | ~ (cP @ sk__5))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 0.67/0.98 thf(zip_derived_cl168, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | (cP @ X0)
% 0.67/0.98 | (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl165, zip_derived_cl45])).
% 0.67/0.98 thf(zip_derived_cl172, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (cP @ X0) | (zip_tseitin_1) | (zip_tseitin_4) | (zip_tseitin_2))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl168])).
% 0.67/0.98 thf(zip_derived_cl6, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_1) | ~ (cP @ sk_) | ~ (cQ @ X0))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.67/0.98 thf(zip_derived_cl181, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | ~ (cQ @ X0)
% 0.67/0.98 | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl172, zip_derived_cl6])).
% 0.67/0.98 thf(zip_derived_cl194, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (cQ @ X0) | (zip_tseitin_1) | (zip_tseitin_4) | (zip_tseitin_2))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 0.67/0.98 thf(zip_derived_cl199, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (cQ @ X0)
% 0.67/0.98 | (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl194])).
% 0.67/0.98 thf(zip_derived_cl207, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1) | (cQ @ X0) | (zip_tseitin_4) | (zip_tseitin_2))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl199])).
% 0.67/0.98 thf(zip_derived_cl194, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (cQ @ X0) | (zip_tseitin_1) | (zip_tseitin_4) | (zip_tseitin_2))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 0.67/0.98 thf(zip_derived_cl224, plain,
% 0.67/0.98 (( (zip_tseitin_2) | (zip_tseitin_4) | (zip_tseitin_1))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl207, zip_derived_cl194])).
% 0.67/0.98 thf(zip_derived_cl9, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.67/0.98 thf(zip_derived_cl226, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl224, zip_derived_cl9])).
% 0.67/0.98 thf(zip_derived_cl227, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_1))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl226])).
% 0.67/0.98 thf(zip_derived_cl237, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (cP @ X0)
% 0.67/0.98 | (cP @ (sk__7 @ X0))
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | (zip_tseitin_4))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl227])).
% 0.67/0.98 thf(zip_derived_cl7, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_1) | (cP @ X0) | (cQ @ sk__1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.67/0.98 thf(zip_derived_cl2, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_0 @ X0 @ X1) | ~ (cP @ X0) | ~ (cP @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.67/0.98 thf(zip_derived_cl227, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_1))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl226])).
% 0.67/0.98 thf(zip_derived_cl238, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (cP @ X0)
% 0.67/0.98 | ~ (cP @ (sk__7 @ X0))
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | (zip_tseitin_4))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl227])).
% 0.67/0.98 thf(zip_derived_cl248, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (cQ @ sk__1)
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | ~ (cP @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl238])).
% 0.67/0.98 thf(zip_derived_cl251, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (cP @ X0) | (zip_tseitin_4) | (zip_tseitin_1) | (cQ @ sk__1))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl248])).
% 0.67/0.98 thf(zip_derived_cl7, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_1) | (cP @ X0) | (cQ @ sk__1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.67/0.98 thf(zip_derived_cl253, plain,
% 0.67/0.98 (( (cQ @ sk__1) | (zip_tseitin_1) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl251, zip_derived_cl7])).
% 0.67/0.98 thf(zip_derived_cl23, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_5) | (zip_tseitin_4) | (zip_tseitin_3 @ X0 @ sk__13))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.67/0.98 thf(zip_derived_cl12, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 (~ (cQ @ X0) | (cQ @ X1) | ~ (zip_tseitin_3 @ X0 @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.67/0.98 thf(zip_derived_cl93, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_4) | (zip_tseitin_5) | (cQ @ sk__13) | ~ (cQ @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl12])).
% 0.67/0.98 thf(zip_derived_cl254, plain,
% 0.67/0.98 (( (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | (cQ @ sk__13)
% 0.67/0.98 | (zip_tseitin_5)
% 0.67/0.98 | (zip_tseitin_4))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl253, zip_derived_cl93])).
% 0.67/0.98 thf(zip_derived_cl258, plain,
% 0.67/0.98 (( (zip_tseitin_5) | (cQ @ sk__13) | (zip_tseitin_1) | (zip_tseitin_4))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl254])).
% 0.67/0.98 thf(zip_derived_cl23, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_5) | (zip_tseitin_4) | (zip_tseitin_3 @ X0 @ sk__13))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.67/0.98 thf(zip_derived_cl13, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 (~ (cQ @ X0) | (cQ @ X1) | ~ (zip_tseitin_3 @ X1 @ X0))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.67/0.98 thf(zip_derived_cl102, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_4) | (zip_tseitin_5) | (cQ @ X0) | ~ (cQ @ sk__13))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl13])).
% 0.67/0.98 thf(zip_derived_cl262, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | (zip_tseitin_5)
% 0.67/0.98 | (cQ @ X0)
% 0.67/0.98 | (zip_tseitin_5)
% 0.67/0.98 | (zip_tseitin_4))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl258, zip_derived_cl102])).
% 0.67/0.98 thf(zip_derived_cl268, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (cQ @ X0) | (zip_tseitin_5) | (zip_tseitin_1) | (zip_tseitin_4))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl262])).
% 0.67/0.98 thf(zip_derived_cl25, plain, ((~ (zip_tseitin_5) | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.67/0.98 thf(zip_derived_cl278, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_4) | (zip_tseitin_1) | (cQ @ X0) | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl268, zip_derived_cl25])).
% 0.67/0.98 thf(zip_derived_cl224, plain,
% 0.67/0.98 (( (zip_tseitin_2) | (zip_tseitin_4) | (zip_tseitin_1))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl207, zip_derived_cl194])).
% 0.67/0.98 thf(zip_derived_cl307, plain,
% 0.67/0.98 (![X0 : $i]: ( (cQ @ X0) | (zip_tseitin_1) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl278, zip_derived_cl224])).
% 0.67/0.98 thf(zip_derived_cl18, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_4) | ~ (cQ @ sk__8) | ~ (cP @ X0))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.67/0.98 thf(zip_derived_cl315, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_4) | (zip_tseitin_1) | ~ (cP @ X0) | (zip_tseitin_4))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl307, zip_derived_cl18])).
% 0.67/0.98 thf(zip_derived_cl329, plain,
% 0.67/0.98 (![X0 : $i]: (~ (cP @ X0) | (zip_tseitin_1) | (zip_tseitin_4))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl315])).
% 0.67/0.98 thf(zip_derived_cl410, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_4) | (zip_tseitin_1) | (cP @ (sk__7 @ X0)))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl237, zip_derived_cl329])).
% 0.67/0.98 thf(zip_derived_cl329, plain,
% 0.67/0.98 (![X0 : $i]: (~ (cP @ X0) | (zip_tseitin_1) | (zip_tseitin_4))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl315])).
% 0.67/0.98 thf(zip_derived_cl411, plain, (( (zip_tseitin_1) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl410, zip_derived_cl329])).
% 0.67/0.98 thf(zip_derived_cl22, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_5)
% 0.67/0.98 | ~ (zip_tseitin_4)
% 0.67/0.98 | ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.67/0.98 thf(zip_derived_cl413, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1)
% 0.67/0.98 | ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0)
% 0.67/0.98 | (zip_tseitin_5))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl411, zip_derived_cl22])).
% 0.67/0.98 thf(zip_derived_cl531, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (cQ @ X0)
% 0.67/0.98 | ~ (cQ @ (sk__12 @ X0))
% 0.67/0.98 | (zip_tseitin_5)
% 0.67/0.98 | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl413])).
% 0.67/0.98 thf(zip_derived_cl3, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_0 @ X0 @ X1) | (cP @ X0) | (cP @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.67/0.98 thf(zip_derived_cl24, plain, (( (zip_tseitin_5) | (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.67/0.98 thf(zip_derived_cl7, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_1) | (cP @ X0) | (cQ @ sk__1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.67/0.98 thf(zip_derived_cl307, plain,
% 0.67/0.98 (![X0 : $i]: ( (cQ @ X0) | (zip_tseitin_1) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl278, zip_derived_cl224])).
% 0.67/0.98 thf(zip_derived_cl17, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cP @ X0) | (cQ @ X1) | ~ (zip_tseitin_4))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.67/0.98 thf(zip_derived_cl310, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.67/0.98 ( (zip_tseitin_1) | (cQ @ X2) | (cQ @ X0) | ~ (cP @ X1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl307, zip_derived_cl17])).
% 0.67/0.98 thf(zip_derived_cl365, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: ( (zip_tseitin_1) | ~ (cP @ X0) | (cQ @ X1))),
% 0.67/0.98 inference('condensation', [status(thm)], [zip_derived_cl310])).
% 0.67/0.98 thf(zip_derived_cl370, plain,
% 0.67/0.98 (![X1 : $i]:
% 0.67/0.98 ( (cQ @ sk__1) | (zip_tseitin_1) | (cQ @ X1) | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl365])).
% 0.67/0.98 thf(zip_derived_cl376, plain,
% 0.67/0.98 (![X1 : $i]: ( (cQ @ X1) | (zip_tseitin_1) | (cQ @ sk__1))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl370])).
% 0.67/0.98 thf(zip_derived_cl397, plain, (( (cQ @ sk__1) | (zip_tseitin_1))),
% 0.67/0.98 inference('condensation', [status(thm)], [zip_derived_cl376])).
% 0.67/0.98 thf(zip_derived_cl411, plain, (( (zip_tseitin_1) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl410, zip_derived_cl329])).
% 0.67/0.98 thf(zip_derived_cl24, plain, (( (zip_tseitin_5) | (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.67/0.98 thf(zip_derived_cl20, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_3 @ X0 @ sk__14)
% 0.67/0.98 | ~ (zip_tseitin_5))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.67/0.98 thf(zip_derived_cl12, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 (~ (cQ @ X0) | (cQ @ X1) | ~ (zip_tseitin_3 @ X0 @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.67/0.98 thf(zip_derived_cl92, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_5) | ~ (zip_tseitin_4) | (cQ @ sk__14) | ~ (cQ @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl12])).
% 0.67/0.98 thf(zip_derived_cl100, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_2) | ~ (cQ @ X0) | (cQ @ sk__14) | ~ (zip_tseitin_4))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl92])).
% 0.67/0.98 thf(zip_derived_cl412, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1) | (cQ @ sk__14) | ~ (cQ @ X0) | (zip_tseitin_2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl411, zip_derived_cl100])).
% 0.67/0.98 thf(zip_derived_cl426, plain,
% 0.67/0.98 (( (zip_tseitin_1) | (zip_tseitin_2) | (cQ @ sk__14) | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl397, zip_derived_cl412])).
% 0.67/0.98 thf(zip_derived_cl436, plain,
% 0.67/0.98 (( (cQ @ sk__14) | (zip_tseitin_2) | (zip_tseitin_1))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl426])).
% 0.67/0.98 thf(zip_derived_cl20, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_3 @ X0 @ sk__14)
% 0.67/0.98 | ~ (zip_tseitin_5))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.67/0.98 thf(zip_derived_cl13, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 (~ (cQ @ X0) | (cQ @ X1) | ~ (zip_tseitin_3 @ X1 @ X0))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.67/0.98 thf(zip_derived_cl101, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_5) | ~ (zip_tseitin_4) | (cQ @ X0) | ~ (cQ @ sk__14))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl13])).
% 0.67/0.98 thf(zip_derived_cl439, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1)
% 0.67/0.98 | (zip_tseitin_2)
% 0.67/0.98 | (cQ @ X0)
% 0.67/0.98 | ~ (zip_tseitin_4)
% 0.67/0.98 | ~ (zip_tseitin_5))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl436, zip_derived_cl101])).
% 0.67/0.98 thf(zip_derived_cl25, plain, ((~ (zip_tseitin_5) | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.67/0.98 thf(zip_derived_cl445, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_5) | ~ (zip_tseitin_4) | (cQ @ X0) | (zip_tseitin_1))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl439, zip_derived_cl25])).
% 0.67/0.98 thf(zip_derived_cl411, plain, (( (zip_tseitin_1) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl410, zip_derived_cl329])).
% 0.67/0.98 thf(zip_derived_cl446, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_1) | (cQ @ X0) | ~ (zip_tseitin_5))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl445, zip_derived_cl411])).
% 0.67/0.98 thf(zip_derived_cl447, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_2) | (cQ @ X0) | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl446])).
% 0.67/0.98 thf(zip_derived_cl16, plain,
% 0.67/0.98 ((~ (cQ @ sk__11) | (cP @ sk__10) | ~ (zip_tseitin_4))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.67/0.98 thf(zip_derived_cl35, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1) | (zip_tseitin_2) | (cP @ sk__5) | ~ (cP @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl0])).
% 0.67/0.98 thf(zip_derived_cl60, plain,
% 0.67/0.98 ((~ (zip_tseitin_4)
% 0.67/0.98 | ~ (cQ @ sk__11)
% 0.67/0.98 | (cP @ sk__5)
% 0.67/0.98 | (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl16, zip_derived_cl35])).
% 0.67/0.98 thf(zip_derived_cl194, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (cQ @ X0) | (zip_tseitin_1) | (zip_tseitin_4) | (zip_tseitin_2))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl181])).
% 0.67/0.98 thf(zip_derived_cl220, plain,
% 0.67/0.98 (( (zip_tseitin_1) | (zip_tseitin_2) | (cP @ sk__5) | ~ (cQ @ sk__11))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl60, zip_derived_cl194])).
% 0.67/0.98 thf(zip_derived_cl5, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cQ @ X0) | (cP @ X1) | ~ (zip_tseitin_1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.67/0.98 thf(zip_derived_cl221, plain,
% 0.67/0.98 ((~ (cQ @ sk__11) | (cP @ sk__5) | (zip_tseitin_2))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl220, zip_derived_cl5])).
% 0.67/0.98 thf(zip_derived_cl452, plain,
% 0.67/0.98 (( (zip_tseitin_1) | (zip_tseitin_2) | (zip_tseitin_2) | (cP @ sk__5))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl447, zip_derived_cl221])).
% 0.67/0.98 thf(zip_derived_cl468, plain,
% 0.67/0.98 (( (cP @ sk__5) | (zip_tseitin_2) | (zip_tseitin_1))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl452])).
% 0.67/0.98 thf(zip_derived_cl45, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1) | (zip_tseitin_2) | (cP @ X0) | ~ (cP @ sk__5))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl1])).
% 0.67/0.98 thf(zip_derived_cl475, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1)
% 0.67/0.98 | (zip_tseitin_2)
% 0.67/0.98 | (cP @ X0)
% 0.67/0.98 | (zip_tseitin_2)
% 0.67/0.98 | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl468, zip_derived_cl45])).
% 0.67/0.98 thf(zip_derived_cl479, plain,
% 0.67/0.98 (![X0 : $i]: ( (cP @ X0) | (zip_tseitin_2) | (zip_tseitin_1))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl475])).
% 0.67/0.98 thf(zip_derived_cl6, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_1) | ~ (cP @ sk_) | ~ (cQ @ X0))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.67/0.98 thf(zip_derived_cl495, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1) | (zip_tseitin_2) | ~ (cQ @ X0) | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl479, zip_derived_cl6])).
% 0.67/0.98 thf(zip_derived_cl506, plain,
% 0.67/0.98 (![X0 : $i]: (~ (cQ @ X0) | (zip_tseitin_2) | (zip_tseitin_1))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl495])).
% 0.67/0.98 thf(zip_derived_cl447, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_2) | (cQ @ X0) | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl446])).
% 0.67/0.98 thf(zip_derived_cl510, plain, (( (zip_tseitin_1) | (zip_tseitin_2))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl506, zip_derived_cl447])).
% 0.67/0.98 thf(zip_derived_cl9, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.67/0.98 thf(zip_derived_cl512, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1)
% 0.67/0.98 | (zip_tseitin_1)
% 0.67/0.98 | ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl510, zip_derived_cl9])).
% 0.67/0.98 thf(zip_derived_cl513, plain,
% 0.67/0.98 (![X0 : $i]: (~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0) | (zip_tseitin_1))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl512])).
% 0.67/0.98 thf(zip_derived_cl519, plain,
% 0.67/0.98 (![X0 : $i]: ( (cP @ X0) | (cP @ (sk__7 @ X0)) | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl513])).
% 0.67/0.98 thf(zip_derived_cl365, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: ( (zip_tseitin_1) | ~ (cP @ X0) | (cQ @ X1))),
% 0.67/0.98 inference('condensation', [status(thm)], [zip_derived_cl310])).
% 0.67/0.98 thf(zip_derived_cl541, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_1) | (cP @ X0) | (cQ @ X1) | (zip_tseitin_1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl519, zip_derived_cl365])).
% 0.67/0.98 thf(zip_derived_cl545, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: ( (cQ @ X1) | (cP @ X0) | (zip_tseitin_1))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl541])).
% 0.67/0.98 thf(zip_derived_cl365, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: ( (zip_tseitin_1) | ~ (cP @ X0) | (cQ @ X1))),
% 0.67/0.98 inference('condensation', [status(thm)], [zip_derived_cl310])).
% 0.67/0.98 thf(zip_derived_cl552, plain, (![X1 : $i]: ( (zip_tseitin_1) | (cQ @ X1))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl545, zip_derived_cl365])).
% 0.67/0.98 thf(zip_derived_cl598, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_1) | (zip_tseitin_5) | ~ (cQ @ (sk__12 @ X0)))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl531, zip_derived_cl552])).
% 0.67/0.98 thf(zip_derived_cl552, plain, (![X1 : $i]: ( (zip_tseitin_1) | (cQ @ X1))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl545, zip_derived_cl365])).
% 0.67/0.98 thf(zip_derived_cl599, plain, (( (zip_tseitin_5) | (zip_tseitin_1))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl598, zip_derived_cl552])).
% 0.67/0.98 thf(zip_derived_cl25, plain, ((~ (zip_tseitin_5) | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.67/0.98 thf(zip_derived_cl601, plain, (( (zip_tseitin_1) | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl599, zip_derived_cl25])).
% 0.67/0.98 thf(zip_derived_cl510, plain, (( (zip_tseitin_1) | (zip_tseitin_2))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl506, zip_derived_cl447])).
% 0.67/0.98 thf(zip_derived_cl603, plain, ( (zip_tseitin_1)),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl601, zip_derived_cl510])).
% 0.67/0.98 thf(zip_derived_cl605, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cQ @ X0) | (cP @ X1))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl603])).
% 0.67/0.98 thf(zip_derived_cl620, plain,
% 0.67/0.98 (![X1 : $i]: ( (cP @ sk__9) | (zip_tseitin_4) | (cP @ X1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl605])).
% 0.67/0.98 thf(zip_derived_cl639, plain, (( (cP @ sk__9) | (zip_tseitin_4))),
% 0.67/0.98 inference('condensation', [status(thm)], [zip_derived_cl620])).
% 0.67/0.98 thf(zip_derived_cl119, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (cQ @ X0)
% 0.67/0.98 | (cQ @ (sk__15 @ X0))
% 0.67/0.98 | (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl59])).
% 0.67/0.98 thf(zip_derived_cl605, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cQ @ X0) | (cP @ X1))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl603])).
% 0.67/0.98 thf(zip_derived_cl618, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_2) | (zip_tseitin_4) | (cQ @ X0) | (cP @ X1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl119, zip_derived_cl605])).
% 0.67/0.98 thf(zip_derived_cl605, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cQ @ X0) | (cP @ X1))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl603])).
% 0.67/0.98 thf(zip_derived_cl644, plain,
% 0.67/0.98 (![X1 : $i]: ( (cP @ X1) | (zip_tseitin_4) | (zip_tseitin_2))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl618, zip_derived_cl605])).
% 0.67/0.98 thf(zip_derived_cl2, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_0 @ X0 @ X1) | ~ (cP @ X0) | ~ (cP @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.67/0.98 thf(zip_derived_cl10, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_2)
% 0.67/0.98 | ~ (zip_tseitin_1)
% 0.67/0.98 | ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.67/0.98 thf(zip_derived_cl603, plain, ( (zip_tseitin_1)),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl601, zip_derived_cl510])).
% 0.67/0.98 thf(zip_derived_cl607, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_2) | ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl603])).
% 0.67/0.98 thf(zip_derived_cl629, plain,
% 0.67/0.98 (![X0 : $i]: (~ (cP @ X0) | ~ (cP @ (sk__4 @ X0)) | (zip_tseitin_2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl607])).
% 0.67/0.98 thf(zip_derived_cl647, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_2) | (zip_tseitin_4) | (zip_tseitin_2) | ~ (cP @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl644, zip_derived_cl629])).
% 0.67/0.98 thf(zip_derived_cl656, plain,
% 0.67/0.98 (![X0 : $i]: (~ (cP @ X0) | (zip_tseitin_4) | (zip_tseitin_2))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl647])).
% 0.67/0.98 thf(zip_derived_cl644, plain,
% 0.67/0.98 (![X1 : $i]: ( (cP @ X1) | (zip_tseitin_4) | (zip_tseitin_2))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl618, zip_derived_cl605])).
% 0.67/0.98 thf(zip_derived_cl664, plain, (( (zip_tseitin_2) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl656, zip_derived_cl644])).
% 0.67/0.98 thf(zip_derived_cl8, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_1) | (zip_tseitin_0 @ X0 @ sk__6) | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.67/0.98 thf(zip_derived_cl0, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 (~ (cP @ X0) | (cP @ X1) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.67/0.98 thf(zip_derived_cl56, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_2) | ~ (zip_tseitin_1) | (cP @ sk__6) | ~ (cP @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl0])).
% 0.67/0.98 thf(zip_derived_cl603, plain, ( (zip_tseitin_1)),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl601, zip_derived_cl510])).
% 0.67/0.98 thf(zip_derived_cl609, plain,
% 0.67/0.98 (![X0 : $i]: (~ (zip_tseitin_2) | (cP @ sk__6) | ~ (cP @ X0))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl56, zip_derived_cl603])).
% 0.67/0.98 thf(zip_derived_cl665, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_4) | ~ (cP @ X0) | (cP @ sk__6))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl664, zip_derived_cl609])).
% 0.67/0.98 thf(zip_derived_cl667, plain,
% 0.67/0.98 (( (zip_tseitin_4) | (cP @ sk__6) | (zip_tseitin_4))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl639, zip_derived_cl665])).
% 0.67/0.98 thf(zip_derived_cl675, plain, (( (cP @ sk__6) | (zip_tseitin_4))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl667])).
% 0.67/0.98 thf(zip_derived_cl8, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_1) | (zip_tseitin_0 @ X0 @ sk__6) | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.67/0.98 thf(zip_derived_cl1, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 (~ (cP @ X0) | (cP @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.67/0.98 thf(zip_derived_cl55, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 (~ (zip_tseitin_2) | ~ (zip_tseitin_1) | (cP @ X0) | ~ (cP @ sk__6))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl1])).
% 0.67/0.98 thf(zip_derived_cl603, plain, ( (zip_tseitin_1)),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl601, zip_derived_cl510])).
% 0.67/0.98 thf(zip_derived_cl608, plain,
% 0.67/0.98 (![X0 : $i]: (~ (zip_tseitin_2) | (cP @ X0) | ~ (cP @ sk__6))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl55, zip_derived_cl603])).
% 0.67/0.98 thf(zip_derived_cl677, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_4) | (cP @ X0) | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl675, zip_derived_cl608])).
% 0.67/0.98 thf(zip_derived_cl664, plain, (( (zip_tseitin_2) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl656, zip_derived_cl644])).
% 0.67/0.98 thf(zip_derived_cl681, plain, (![X0 : $i]: ( (cP @ X0) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl677, zip_derived_cl664])).
% 0.67/0.98 thf(zip_derived_cl4, plain,
% 0.67/0.98 ((~ (cP @ sk__3) | (cQ @ sk__2) | ~ (zip_tseitin_1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.67/0.98 thf(zip_derived_cl603, plain, ( (zip_tseitin_1)),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl601, zip_derived_cl510])).
% 0.67/0.98 thf(zip_derived_cl604, plain, ((~ (cP @ sk__3) | (cQ @ sk__2))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl4, zip_derived_cl603])).
% 0.67/0.98 thf(zip_derived_cl687, plain, (( (zip_tseitin_4) | (cQ @ sk__2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl681, zip_derived_cl604])).
% 0.67/0.98 thf(zip_derived_cl93, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_4) | (zip_tseitin_5) | (cQ @ sk__13) | ~ (cQ @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl12])).
% 0.67/0.98 thf(zip_derived_cl697, plain,
% 0.67/0.98 (( (zip_tseitin_4) | (cQ @ sk__13) | (zip_tseitin_5) | (zip_tseitin_4))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl687, zip_derived_cl93])).
% 0.67/0.98 thf(zip_derived_cl700, plain,
% 0.67/0.98 (( (zip_tseitin_5) | (cQ @ sk__13) | (zip_tseitin_4))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl697])).
% 0.67/0.98 thf(zip_derived_cl102, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_4) | (zip_tseitin_5) | (cQ @ X0) | ~ (cQ @ sk__13))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl13])).
% 0.67/0.98 thf(zip_derived_cl706, plain,
% 0.67/0.98 (![X0 : $i]:
% 0.67/0.98 ( (zip_tseitin_4)
% 0.67/0.98 | (zip_tseitin_5)
% 0.67/0.98 | (cQ @ X0)
% 0.67/0.98 | (zip_tseitin_5)
% 0.67/0.98 | (zip_tseitin_4))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl700, zip_derived_cl102])).
% 0.67/0.98 thf(zip_derived_cl710, plain,
% 0.67/0.98 (![X0 : $i]: ( (cQ @ X0) | (zip_tseitin_5) | (zip_tseitin_4))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl706])).
% 0.67/0.98 thf(zip_derived_cl25, plain, ((~ (zip_tseitin_5) | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.67/0.98 thf(zip_derived_cl726, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_4) | (cQ @ X0) | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl710, zip_derived_cl25])).
% 0.67/0.98 thf(zip_derived_cl664, plain, (( (zip_tseitin_2) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl656, zip_derived_cl644])).
% 0.67/0.98 thf(zip_derived_cl739, plain, (![X0 : $i]: ( (cQ @ X0) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl726, zip_derived_cl664])).
% 0.67/0.98 thf(zip_derived_cl18, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_4) | ~ (cQ @ sk__8) | ~ (cP @ X0))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.67/0.98 thf(zip_derived_cl744, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_4) | ~ (cP @ X0) | (zip_tseitin_4))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl739, zip_derived_cl18])).
% 0.67/0.98 thf(zip_derived_cl751, plain, (![X0 : $i]: (~ (cP @ X0) | (zip_tseitin_4))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl744])).
% 0.67/0.98 thf(zip_derived_cl681, plain, (![X0 : $i]: ( (cP @ X0) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl677, zip_derived_cl664])).
% 0.67/0.98 thf(zip_derived_cl753, plain, ( (zip_tseitin_4)),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl751, zip_derived_cl681])).
% 0.67/0.98 thf(zip_derived_cl756, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_5) | ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl753])).
% 0.67/0.98 thf(zip_derived_cl25, plain, ((~ (zip_tseitin_5) | ~ (zip_tseitin_2))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.67/0.98 thf(zip_derived_cl3, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_0 @ X0 @ X1) | (cP @ X0) | (cP @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.67/0.98 thf(zip_derived_cl607, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_2) | ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl10, zip_derived_cl603])).
% 0.67/0.98 thf(zip_derived_cl628, plain,
% 0.67/0.98 (![X0 : $i]: ( (cP @ X0) | (cP @ (sk__4 @ X0)) | (zip_tseitin_2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl607])).
% 0.67/0.98 thf(zip_derived_cl681, plain, (![X0 : $i]: ( (cP @ X0) | (zip_tseitin_4))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl677, zip_derived_cl664])).
% 0.67/0.98 thf(zip_derived_cl17, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cP @ X0) | (cQ @ X1) | ~ (zip_tseitin_4))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.67/0.98 thf(zip_derived_cl684, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i, X2 : $i]: ( (cP @ X2) | (cQ @ X0) | ~ (cP @ X1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl681, zip_derived_cl17])).
% 0.67/0.98 thf(zip_derived_cl605, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cQ @ X0) | (cP @ X1))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl603])).
% 0.67/0.98 thf(zip_derived_cl714, plain,
% 0.67/0.98 (![X1 : $i, X2 : $i]: (~ (cP @ X1) | (cP @ X2))),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl684, zip_derived_cl605])).
% 0.67/0.98 thf(zip_derived_cl715, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: ( (zip_tseitin_2) | (cP @ X0) | (cP @ X1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl628, zip_derived_cl714])).
% 0.67/0.98 thf(zip_derived_cl768, plain, (![X0 : $i]: ( (zip_tseitin_2) | (cP @ X0))),
% 0.67/0.98 inference('condensation', [status(thm)], [zip_derived_cl715])).
% 0.67/0.98 thf(zip_derived_cl629, plain,
% 0.67/0.98 (![X0 : $i]: (~ (cP @ X0) | ~ (cP @ (sk__4 @ X0)) | (zip_tseitin_2))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl607])).
% 0.67/0.98 thf(zip_derived_cl769, plain,
% 0.67/0.98 (![X0 : $i]: ( (zip_tseitin_2) | (zip_tseitin_2) | ~ (cP @ X0))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl768, zip_derived_cl629])).
% 0.67/0.98 thf(zip_derived_cl777, plain, (![X0 : $i]: (~ (cP @ X0) | (zip_tseitin_2))),
% 0.67/0.98 inference('simplify', [status(thm)], [zip_derived_cl769])).
% 0.67/0.98 thf(zip_derived_cl768, plain, (![X0 : $i]: ( (zip_tseitin_2) | (cP @ X0))),
% 0.67/0.98 inference('condensation', [status(thm)], [zip_derived_cl715])).
% 0.67/0.98 thf(zip_derived_cl782, plain, ( (zip_tseitin_2)),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl777, zip_derived_cl768])).
% 0.67/0.98 thf(zip_derived_cl783, plain, (~ (zip_tseitin_5)),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl25, zip_derived_cl782])).
% 0.67/0.98 thf(zip_derived_cl794, plain,
% 0.67/0.98 (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0)),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl756, zip_derived_cl783])).
% 0.67/0.98 thf(zip_derived_cl14, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_3 @ X0 @ X1) | ~ (cQ @ X0) | ~ (cQ @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.67/0.98 thf(zip_derived_cl17, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cP @ X0) | (cQ @ X1) | ~ (zip_tseitin_4))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.67/0.98 thf(zip_derived_cl753, plain, ( (zip_tseitin_4)),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl751, zip_derived_cl681])).
% 0.67/0.98 thf(zip_derived_cl754, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cP @ X0) | (cQ @ X1))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl17, zip_derived_cl753])).
% 0.67/0.98 thf(zip_derived_cl15, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]:
% 0.67/0.98 ( (zip_tseitin_3 @ X0 @ X1) | (cQ @ X0) | (cQ @ X1))),
% 0.67/0.98 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.67/0.98 thf(zip_derived_cl794, plain,
% 0.67/0.98 (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0)),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl756, zip_derived_cl783])).
% 0.67/0.98 thf(zip_derived_cl795, plain,
% 0.67/0.98 (![X0 : $i]: ( (cQ @ X0) | (cQ @ (sk__12 @ X0)))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl794])).
% 0.67/0.98 thf(zip_derived_cl605, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cQ @ X0) | (cP @ X1))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl603])).
% 0.67/0.98 thf(zip_derived_cl799, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: ( (cQ @ X0) | (cP @ X1))),
% 0.67/0.98 inference('sup-', [status(thm)], [zip_derived_cl795, zip_derived_cl605])).
% 0.67/0.98 thf(zip_derived_cl605, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (~ (cQ @ X0) | (cP @ X1))),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl5, zip_derived_cl603])).
% 0.67/0.98 thf(zip_derived_cl801, plain, (![X1 : $i]: (cP @ X1)),
% 0.67/0.98 inference('clc', [status(thm)], [zip_derived_cl799, zip_derived_cl605])).
% 0.67/0.98 thf(zip_derived_cl803, plain, (![X1 : $i]: (cQ @ X1)),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl754, zip_derived_cl801])).
% 0.67/0.98 thf(zip_derived_cl803, plain, (![X1 : $i]: (cQ @ X1)),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl754, zip_derived_cl801])).
% 0.67/0.98 thf(zip_derived_cl804, plain,
% 0.67/0.98 (![X0 : $i, X1 : $i]: (zip_tseitin_3 @ X0 @ X1)),
% 0.67/0.98 inference('demod', [status(thm)],
% 0.67/0.98 [zip_derived_cl14, zip_derived_cl803, zip_derived_cl803])).
% 0.67/0.98 thf(zip_derived_cl805, plain, ($false),
% 0.67/0.98 inference('demod', [status(thm)], [zip_derived_cl794, zip_derived_cl804])).
% 0.67/0.98
% 0.67/0.98 % SZS output end Refutation
% 0.67/0.98
% 0.67/0.98
% 0.67/0.98 % Terminating...
% 0.70/1.04 % Runner terminated.
% 0.70/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------