%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN036+2 : TPTP v9.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vG5kMOZtRA true
% Computer : n006.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 0.56s 0.77s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN036+2 : TPTP v9.2.0. Released v2.0.0.
% 0.03/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.vG5kMOZtRA true
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:39:38 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.36 % Running in FO mode
% 0.42/0.62 % Total configuration time : 435
% 0.42/0.62 % Estimated wc time : 1092
% 0.42/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.77 % Solved by fo/fo1_av.sh.
% 0.56/0.77 % done 145 iterations in 0.036s
% 0.56/0.77 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.56/0.77 % SZS output start Refutation
% 0.56/0.77 thf(zip_tseitin_1_type, type, zip_tseitin_1: $o).
% 0.56/0.77 thf(sk__10_type, type, sk__10: $i).
% 0.56/0.77 thf(sk__14_type, type, sk__14: $i).
% 0.56/0.77 thf(sk__11_type, type, sk__11: $i).
% 0.56/0.77 thf(big_q_type, type, big_q: $i > $o).
% 0.56/0.77 thf(sk__5_type, type, sk__5: $i).
% 0.56/0.77 thf(zip_tseitin_2_type, type, zip_tseitin_2: $o).
% 0.56/0.77 thf(sk__7_type, type, sk__7: $i > $i).
% 0.56/0.77 thf(big_p_type, type, big_p: $i > $o).
% 0.56/0.77 thf(sk__3_type, type, sk__3: $i).
% 0.56/0.77 thf(sk__13_type, type, sk__13: $i).
% 0.56/0.77 thf(sk__9_type, type, sk__9: $i).
% 0.56/0.77 thf(sk__15_type, type, sk__15: $i > $i).
% 0.56/0.77 thf(sk__8_type, type, sk__8: $i).
% 0.56/0.77 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.56/0.77 thf(sk__4_type, type, sk__4: $i > $i).
% 0.56/0.77 thf(sk__6_type, type, sk__6: $i).
% 0.56/0.77 thf(zip_tseitin_4_type, type, zip_tseitin_4: $o).
% 0.56/0.77 thf(sk__12_type, type, sk__12: $i > $i).
% 0.56/0.77 thf(sk__1_type, type, sk__1: $i).
% 0.56/0.77 thf(zip_tseitin_5_type, type, zip_tseitin_5: $o).
% 0.56/0.77 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $o).
% 0.56/0.77 thf(sk__2_type, type, sk__2: $i).
% 0.56/0.77 thf(sk__type, type, sk_: $i).
% 0.56/0.77 thf(pel34, conjecture,
% 0.56/0.77 (( ( ?[X:$i]: ( ![Y:$i]: ( ( big_p @ X ) <=> ( big_p @ Y ) ) ) ) <=>
% 0.56/0.77 ( ( ?[U:$i]: ( big_q @ U ) ) <=> ( ![W:$i]: ( big_p @ W ) ) ) ) <=>
% 0.56/0.77 ( ( ?[X1:$i]: ( ![Y1:$i]: ( ( big_q @ X1 ) <=> ( big_q @ Y1 ) ) ) ) <=>
% 0.56/0.77 ( ( ?[U1:$i]: ( big_p @ U1 ) ) <=> ( ![W1:$i]: ( big_q @ W1 ) ) ) ))).
% 0.56/0.77 thf(zf_stmt_0, axiom,
% 0.56/0.77 (![Y1:$i,X1:$i]:
% 0.56/0.77 ( ( zip_tseitin_3 @ Y1 @ X1 ) <=> ( ( big_q @ X1 ) <=> ( big_q @ Y1 ) ) ))).
% 0.56/0.77 thf(zip_derived_cl15, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 ( (zip_tseitin_3 @ X0 @ X1) | (big_q @ X0) | (big_q @ X1))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77 thf(zf_stmt_1, axiom,
% 0.56/0.77 (( zip_tseitin_5 ) <=>
% 0.56/0.77 ( ( ?[X1:$i]: ( ![Y1:$i]: ( zip_tseitin_3 @ Y1 @ X1 ) ) ) <=>
% 0.56/0.77 ( zip_tseitin_4 ) ))).
% 0.56/0.77 thf(zip_derived_cl22, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ( (zip_tseitin_5)
% 0.56/0.77 | ~ (zip_tseitin_4)
% 0.56/0.77 | ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.77 thf(zip_derived_cl68, plain,
% 0.56/0.77 ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0))
% 0.56/0.77 <= ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl22])).
% 0.56/0.77 thf(zip_derived_cl145, plain,
% 0.56/0.77 ((![X0 : $i]: ( (big_q @ X0) | (big_q @ (sk__12 @ X0))))
% 0.56/0.77 <= ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl68])).
% 0.56/0.77 thf(zf_stmt_2, axiom,
% 0.56/0.77 (( zip_tseitin_1 ) <=>
% 0.56/0.77 ( ( ?[U:$i]: ( big_q @ U ) ) <=> ( ![W:$i]: ( big_p @ W ) ) ))).
% 0.56/0.77 thf(zip_derived_cl5, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (big_q @ X0) | (big_p @ X1) | ~ (zip_tseitin_1))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.77 thf(zip_derived_cl30, plain,
% 0.56/0.77 ((![X0 : $i]: ~ (big_q @ X0)) <= ((![X0 : $i]: ~ (big_q @ X0)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.77 thf(zip_derived_cl201, plain,
% 0.56/0.77 ((![X0 : $i]: (big_q @ X0))
% 0.56/0.77 <= ((![X0 : $i]: ~ (big_q @ X0)) &
% 0.56/0.77 (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl145, zip_derived_cl30])).
% 0.56/0.77 thf(zip_derived_cl30, plain,
% 0.56/0.77 ((![X0 : $i]: ~ (big_q @ X0)) <= ((![X0 : $i]: ~ (big_q @ X0)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.77 thf('0', plain,
% 0.56/0.77 (~ (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0)) |
% 0.56/0.77 ~ (![X0 : $i]: ~ (big_q @ X0))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl201, zip_derived_cl30])).
% 0.56/0.77 thf(zip_derived_cl20, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 (~ (zip_tseitin_4)
% 0.56/0.77 | (zip_tseitin_3 @ X0 @ sk__14)
% 0.56/0.77 | ~ (zip_tseitin_5))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.77 thf(zip_derived_cl62, plain,
% 0.56/0.77 ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__14))
% 0.56/0.77 <= ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__14)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl20])).
% 0.56/0.77 thf(zip_derived_cl12, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (big_q @ X0) | (big_q @ X1) | ~ (zip_tseitin_3 @ X0 @ X1))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77 thf(zip_derived_cl167, plain,
% 0.56/0.77 ((![X0 : $i]: (~ (big_q @ X0) | (big_q @ sk__14)))
% 0.56/0.77 <= ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__14)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl12])).
% 0.56/0.77 thf('1', plain,
% 0.56/0.77 (~ (![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__14)) |
% 0.56/0.77 (![X0 : $i]: ~ (big_q @ X0)) | ( (big_q @ sk__14))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl167])).
% 0.56/0.77 thf(zip_derived_cl62, plain,
% 0.56/0.77 ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__14))
% 0.56/0.77 <= ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__14)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl20])).
% 0.56/0.77 thf(zip_derived_cl13, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (big_q @ X0) | (big_q @ X1) | ~ (zip_tseitin_3 @ X1 @ X0))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77 thf(zip_derived_cl168, plain,
% 0.56/0.77 ((![X0 : $i]: (~ (big_q @ sk__14) | (big_q @ X0)))
% 0.56/0.77 <= ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__14)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl62, zip_derived_cl13])).
% 0.56/0.77 thf('2', plain,
% 0.56/0.77 (~ ( (big_q @ sk__14)) |
% 0.56/0.77 ~ (![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__14)) |
% 0.56/0.77 (![X1 : $i]: (big_q @ X1))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl168])).
% 0.56/0.77 thf('3', plain,
% 0.56/0.77 (~ ( (zip_tseitin_4)) | (![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__14)) |
% 0.56/0.77 ~ ( (zip_tseitin_5))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl20])).
% 0.56/0.77 thf(zf_stmt_3, axiom,
% 0.56/0.77 (( zip_tseitin_4 ) <=>
% 0.56/0.77 ( ( ?[U1:$i]: ( big_p @ U1 ) ) <=> ( ![W1:$i]: ( big_q @ W1 ) ) ))).
% 0.56/0.77 thf(zip_derived_cl19, plain,
% 0.56/0.77 (![X0 : $i]: ( (zip_tseitin_4) | (big_q @ X0) | (big_p @ sk__9))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.77 thf('4', plain,
% 0.56/0.77 (( (big_p @ sk__9)) | ( (zip_tseitin_4)) | (![X1 : $i]: (big_q @ X1))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl19])).
% 0.56/0.77 thf(zip_derived_cl16, plain,
% 0.56/0.77 ((~ (big_q @ sk__11) | (big_p @ sk__10) | ~ (zip_tseitin_4))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.77 thf(zip_derived_cl51, plain, (( (big_p @ sk__10)) <= (( (big_p @ sk__10)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl16])).
% 0.56/0.77 thf(zip_derived_cl17, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (big_p @ X0) | (big_q @ X1) | ~ (zip_tseitin_4))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.77 thf(zip_derived_cl54, plain,
% 0.56/0.77 ((![X0 : $i]: ~ (big_p @ X0)) <= ((![X0 : $i]: ~ (big_p @ X0)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.77 thf('5', plain, (~ ( (big_p @ sk__10)) | ~ (![X0 : $i]: ~ (big_p @ X0))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl51, zip_derived_cl54])).
% 0.56/0.77 thf(zf_stmt_4, axiom,
% 0.56/0.77 (( zip_tseitin_2 ) <=>
% 0.56/0.77 ( ( ?[X:$i]: ( ![Y:$i]: ( zip_tseitin_0 @ Y @ X ) ) ) <=>
% 0.56/0.77 ( zip_tseitin_1 ) ))).
% 0.56/0.77 thf(zip_derived_cl11, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ( (zip_tseitin_2) | (zip_tseitin_1) | (zip_tseitin_0 @ X0 @ sk__5))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.77 thf(zip_derived_cl47, plain,
% 0.56/0.77 ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__5))
% 0.56/0.77 <= ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__5)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl11])).
% 0.56/0.77 thf(zf_stmt_5, axiom,
% 0.56/0.77 (![Y:$i,X:$i]:
% 0.56/0.77 ( ( zip_tseitin_0 @ Y @ X ) <=> ( ( big_p @ X ) <=> ( big_p @ Y ) ) ))).
% 0.56/0.77 thf(zip_derived_cl1, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (big_p @ X0) | (big_p @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.77 thf(zip_derived_cl160, plain,
% 0.56/0.77 ((![X0 : $i]: (~ (big_p @ sk__5) | (big_p @ X0)))
% 0.56/0.77 <= ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__5)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl1])).
% 0.56/0.77 thf('6', plain,
% 0.56/0.77 (~ ( (big_p @ sk__5)) | ~ (![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__5)) |
% 0.56/0.77 (![X1 : $i]: (big_p @ X1))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl160])).
% 0.56/0.77 thf('7', plain,
% 0.56/0.77 (~ ( (big_q @ sk__11)) | ~ ( (zip_tseitin_4)) | ( (big_p @ sk__10))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl16])).
% 0.56/0.77 thf('8', plain,
% 0.56/0.77 (( (zip_tseitin_1)) | ( (zip_tseitin_2)) |
% 0.56/0.77 (![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__5))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl11])).
% 0.56/0.77 thf(zip_derived_cl47, plain,
% 0.56/0.77 ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__5))
% 0.56/0.77 <= ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__5)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl11])).
% 0.56/0.77 thf(zip_derived_cl0, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 (~ (big_p @ X0) | (big_p @ X1) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.77 thf(zip_derived_cl159, plain,
% 0.56/0.77 ((![X0 : $i]: (~ (big_p @ X0) | (big_p @ sk__5)))
% 0.56/0.77 <= ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__5)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl0])).
% 0.56/0.77 thf('9', plain,
% 0.56/0.77 (( (big_p @ sk__5)) | ~ (![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__5)) |
% 0.56/0.77 (![X0 : $i]: ~ (big_p @ X0))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl159])).
% 0.56/0.77 thf('10', plain,
% 0.56/0.77 (~ ( (zip_tseitin_4)) |
% 0.56/0.77 (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0)) |
% 0.56/0.77 ( (zip_tseitin_5))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl22])).
% 0.56/0.77 thf(zip_derived_cl10, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 ( (zip_tseitin_2)
% 0.56/0.77 | ~ (zip_tseitin_1)
% 0.56/0.77 | ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.77 thf('11', plain,
% 0.56/0.77 ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0)) |
% 0.56/0.77 ( (zip_tseitin_2)) | ~ ( (zip_tseitin_1))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.56/0.77 thf(zip_derived_cl6, plain,
% 0.56/0.77 (![X0 : $i]: ( (zip_tseitin_1) | ~ (big_p @ sk_) | ~ (big_q @ X0))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.77 thf('12', plain,
% 0.56/0.77 (~ ( (big_p @ sk_)) | (![X0 : $i]: ~ (big_q @ X0)) | ( (zip_tseitin_1))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl6])).
% 0.56/0.77 thf(zip_derived_cl15, plain,
% 0.56/0.77 (![X0 : $i, X1 : $i]:
% 0.56/0.77 ( (zip_tseitin_3 @ X0 @ X1) | (big_q @ X0) | (big_q @ X1))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.77 thf(zip_derived_cl21, plain,
% 0.56/0.77 (![X0 : $i]:
% 0.56/0.77 (~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0)
% 0.56/0.77 | (zip_tseitin_4)
% 0.56/0.77 | ~ (zip_tseitin_5))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.77 thf(zip_derived_cl65, plain,
% 0.56/0.77 ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0))
% 0.56/0.77 <= ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl21])).
% 0.56/0.77 thf(zip_derived_cl146, plain,
% 0.56/0.77 ((![X0 : $i]: ( (big_q @ X0) | (big_q @ (sk__15 @ X0))))
% 0.56/0.77 <= ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl65])).
% 0.56/0.77 thf(zip_derived_cl30, plain,
% 0.56/0.77 ((![X0 : $i]: ~ (big_q @ X0)) <= ((![X0 : $i]: ~ (big_q @ X0)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.77 thf(zip_derived_cl203, plain,
% 0.56/0.77 ((![X0 : $i]: (big_q @ X0))
% 0.56/0.77 <= ((![X0 : $i]: ~ (big_q @ X0)) &
% 0.56/0.77 (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0)))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl146, zip_derived_cl30])).
% 0.56/0.77 thf(zip_derived_cl18, plain,
% 0.56/0.77 (![X0 : $i]: ( (zip_tseitin_4) | ~ (big_q @ sk__8) | ~ (big_p @ X0))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.56/0.77 thf(zip_derived_cl57, plain, ((~ (big_q @ sk__8)) <= (~ ( (big_q @ sk__8)))),
% 0.56/0.77 inference('split', [status(esa)], [zip_derived_cl18])).
% 0.56/0.77 thf('13', plain,
% 0.56/0.77 (~ (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0)) |
% 0.56/0.77 ~ (![X0 : $i]: ~ (big_q @ X0)) | ( (big_q @ sk__8))),
% 0.56/0.77 inference('s_sup-', [status(thm)], [zip_derived_cl203, zip_derived_cl57])).
% 0.56/0.77 thf(zf_stmt_6, type, zip_tseitin_5 : $o).
% 0.56/0.77 thf(zf_stmt_7, type, zip_tseitin_4 : $o).
% 0.56/0.77 thf(zf_stmt_8, type, zip_tseitin_3 : $i > $i > $o).
% 0.56/0.77 thf(zf_stmt_9, type, zip_tseitin_2 : $o).
% 0.56/0.77 thf(zf_stmt_10, type, zip_tseitin_1 : $o).
% 0.56/0.77 thf(zf_stmt_11, type, zip_tseitin_0 : $i > $i > $o).
% 0.56/0.77 thf(zf_stmt_12, conjecture, (( zip_tseitin_2 ) <=> ( zip_tseitin_5 ))).
% 0.56/0.77 thf(zf_stmt_13, negated_conjecture,
% 0.56/0.77 (~( ( zip_tseitin_2 ) <=> ( zip_tseitin_5 ) )),
% 0.56/0.77 inference('cnf.neg', [status(esa)], [zf_stmt_12])).
% 0.56/0.77 thf(zip_derived_cl24, plain, (( (zip_tseitin_5) | (zip_tseitin_2))),
% 0.56/0.77 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.56/0.78 thf('14', plain, (( (zip_tseitin_2)) | ( (zip_tseitin_5))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl24])).
% 0.56/0.78 thf('15', plain,
% 0.56/0.78 (~ ( (big_q @ sk__8)) | ( (zip_tseitin_4)) | (![X0 : $i]: ~ (big_p @ X0))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl18])).
% 0.56/0.78 thf(zip_derived_cl9, plain,
% 0.56/0.78 (![X0 : $i]:
% 0.56/0.78 (~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)
% 0.56/0.78 | (zip_tseitin_1)
% 0.56/0.78 | ~ (zip_tseitin_2))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.78 thf('16', plain,
% 0.56/0.78 (( (zip_tseitin_1)) |
% 0.56/0.78 (![X0 : $i]: ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)) |
% 0.56/0.78 ~ ( (zip_tseitin_2))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.56/0.78 thf(zip_derived_cl4, plain,
% 0.56/0.78 ((~ (big_p @ sk__3) | (big_q @ sk__2) | ~ (zip_tseitin_1))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.78 thf('17', plain,
% 0.56/0.78 (~ ( (big_p @ sk__3)) | ~ ( (zip_tseitin_1)) | ( (big_q @ sk__2))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.56/0.78 thf(zip_derived_cl27, plain, (( (big_q @ sk__2)) <= (( (big_q @ sk__2)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.56/0.78 thf(zip_derived_cl30, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_q @ X0)) <= ((![X0 : $i]: ~ (big_q @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.78 thf('18', plain, (~ ( (big_q @ sk__2)) | ~ (![X0 : $i]: ~ (big_q @ X0))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl30])).
% 0.56/0.78 thf('19', plain,
% 0.56/0.78 (~ ( (zip_tseitin_5)) |
% 0.56/0.78 (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0)) |
% 0.56/0.78 ( (zip_tseitin_4))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl21])).
% 0.56/0.78 thf(zip_derived_cl29, plain,
% 0.56/0.78 ((![X1 : $i]: (big_p @ X1)) <= ((![X1 : $i]: (big_p @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.78 thf(zip_derived_cl44, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.56/0.78 thf(zip_derived_cl2, plain,
% 0.56/0.78 (![X0 : $i, X1 : $i]:
% 0.56/0.78 ( (zip_tseitin_0 @ X0 @ X1) | ~ (big_p @ X0) | ~ (big_p @ X1))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.78 thf(zip_derived_cl94, plain,
% 0.56/0.78 ((![X0 : $i]: (~ (big_p @ (sk__4 @ X0)) | ~ (big_p @ X0)))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0)))),
% 0.56/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl2])).
% 0.56/0.78 thf(zip_derived_cl115, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_p @ X0))
% 0.56/0.78 <= ((![X1 : $i]: (big_p @ X1)) &
% 0.56/0.78 (![X0 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl94])).
% 0.56/0.78 thf(zip_derived_cl29, plain,
% 0.56/0.78 ((![X1 : $i]: (big_p @ X1)) <= ((![X1 : $i]: (big_p @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.78 thf('20', plain,
% 0.56/0.78 (~ (![X0 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0)) |
% 0.56/0.78 ~ (![X1 : $i]: (big_p @ X1))),
% 0.56/0.78 inference('demod', [status(thm)], [zip_derived_cl115, zip_derived_cl29])).
% 0.56/0.78 thf(zip_derived_cl41, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.56/0.78 thf(zip_derived_cl2, plain,
% 0.56/0.78 (![X0 : $i, X1 : $i]:
% 0.56/0.78 ( (zip_tseitin_0 @ X0 @ X1) | ~ (big_p @ X0) | ~ (big_p @ X1))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.78 thf(zip_derived_cl83, plain,
% 0.56/0.78 ((![X0 : $i]: (~ (big_p @ (sk__7 @ X0)) | ~ (big_p @ X0)))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)))),
% 0.56/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl2])).
% 0.56/0.78 thf(zip_derived_cl29, plain,
% 0.56/0.78 ((![X1 : $i]: (big_p @ X1)) <= ((![X1 : $i]: (big_p @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.78 thf(zip_derived_cl106, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_p @ X0))
% 0.56/0.78 <= ((![X1 : $i]: (big_p @ X1)) &
% 0.56/0.78 (![X0 : $i]: ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)))),
% 0.56/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl83, zip_derived_cl29])).
% 0.56/0.78 thf(zip_derived_cl29, plain,
% 0.56/0.78 ((![X1 : $i]: (big_p @ X1)) <= ((![X1 : $i]: (big_p @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.78 thf('21', plain,
% 0.56/0.78 (~ (![X1 : $i]: (big_p @ X1)) |
% 0.56/0.78 ~ (![X0 : $i]: ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0))),
% 0.56/0.78 inference('demod', [status(thm)], [zip_derived_cl106, zip_derived_cl29])).
% 0.56/0.78 thf(zip_derived_cl29, plain,
% 0.56/0.78 ((![X1 : $i]: (big_p @ X1)) <= ((![X1 : $i]: (big_p @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.78 thf(zip_derived_cl28, plain, ((~ (big_p @ sk__3)) <= (~ ( (big_p @ sk__3)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl4])).
% 0.56/0.78 thf('22', plain, (~ (![X1 : $i]: (big_p @ X1)) | ( (big_p @ sk__3))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl28])).
% 0.56/0.78 thf(zip_derived_cl29, plain,
% 0.56/0.78 ((![X1 : $i]: (big_p @ X1)) <= ((![X1 : $i]: (big_p @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.78 thf(zip_derived_cl33, plain, ((~ (big_p @ sk_)) <= (~ ( (big_p @ sk_)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl6])).
% 0.56/0.78 thf('23', plain, (~ (![X1 : $i]: (big_p @ X1)) | ( (big_p @ sk_))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl33])).
% 0.56/0.78 thf(zip_derived_cl29, plain,
% 0.56/0.78 ((![X1 : $i]: (big_p @ X1)) <= ((![X1 : $i]: (big_p @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.78 thf(zip_derived_cl54, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_p @ X0)) <= ((![X0 : $i]: ~ (big_p @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf('24', plain,
% 0.56/0.78 (~ (![X1 : $i]: (big_p @ X1)) | ~ (![X0 : $i]: ~ (big_p @ X0))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl54])).
% 0.56/0.78 thf(zip_derived_cl53, plain,
% 0.56/0.78 ((![X1 : $i]: (big_q @ X1)) <= ((![X1 : $i]: (big_q @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf(zip_derived_cl14, plain,
% 0.56/0.78 (![X0 : $i, X1 : $i]:
% 0.56/0.78 ( (zip_tseitin_3 @ X0 @ X1) | ~ (big_q @ X0) | ~ (big_q @ X1))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.78 thf(zip_derived_cl65, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl21])).
% 0.56/0.78 thf(zip_derived_cl124, plain,
% 0.56/0.78 ((![X0 : $i]: (~ (big_q @ X0) | ~ (big_q @ (sk__15 @ X0))))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl65])).
% 0.56/0.78 thf(zip_derived_cl134, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_q @ X0))
% 0.56/0.78 <= ((![X1 : $i]: (big_q @ X1)) &
% 0.56/0.78 (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl124])).
% 0.56/0.78 thf(zip_derived_cl53, plain,
% 0.56/0.78 ((![X1 : $i]: (big_q @ X1)) <= ((![X1 : $i]: (big_q @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf('25', plain,
% 0.56/0.78 (~ (![X1 : $i]: (big_q @ X1)) |
% 0.56/0.78 ~ (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__15 @ X0) @ X0))),
% 0.56/0.78 inference('demod', [status(thm)], [zip_derived_cl134, zip_derived_cl53])).
% 0.56/0.78 thf(zip_derived_cl53, plain,
% 0.56/0.78 ((![X1 : $i]: (big_q @ X1)) <= ((![X1 : $i]: (big_q @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf(zip_derived_cl14, plain,
% 0.56/0.78 (![X0 : $i, X1 : $i]:
% 0.56/0.78 ( (zip_tseitin_3 @ X0 @ X1) | ~ (big_q @ X0) | ~ (big_q @ X1))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.78 thf(zip_derived_cl68, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl22])).
% 0.56/0.78 thf(zip_derived_cl123, plain,
% 0.56/0.78 ((![X0 : $i]: (~ (big_q @ X0) | ~ (big_q @ (sk__12 @ X0))))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl68])).
% 0.56/0.78 thf(zip_derived_cl130, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_q @ X0))
% 0.56/0.78 <= ((![X1 : $i]: (big_q @ X1)) &
% 0.56/0.78 (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl123])).
% 0.56/0.78 thf(zip_derived_cl53, plain,
% 0.56/0.78 ((![X1 : $i]: (big_q @ X1)) <= ((![X1 : $i]: (big_q @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf('26', plain,
% 0.56/0.78 (~ (![X1 : $i]: (big_q @ X1)) |
% 0.56/0.78 ~ (![X0 : $i]: ~ (zip_tseitin_3 @ (sk__12 @ X0) @ X0))),
% 0.56/0.78 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl53])).
% 0.56/0.78 thf(zip_derived_cl53, plain,
% 0.56/0.78 ((![X1 : $i]: (big_q @ X1)) <= ((![X1 : $i]: (big_q @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf(zip_derived_cl52, plain,
% 0.56/0.78 ((~ (big_q @ sk__11)) <= (~ ( (big_q @ sk__11)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl16])).
% 0.56/0.78 thf('27', plain, (~ (![X1 : $i]: (big_q @ X1)) | ( (big_q @ sk__11))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl52])).
% 0.56/0.78 thf(zip_derived_cl53, plain,
% 0.56/0.78 ((![X1 : $i]: (big_q @ X1)) <= ((![X1 : $i]: (big_q @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf(zip_derived_cl57, plain, ((~ (big_q @ sk__8)) <= (~ ( (big_q @ sk__8)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl18])).
% 0.56/0.78 thf('28', plain, (~ (![X1 : $i]: (big_q @ X1)) | ( (big_q @ sk__8))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl57])).
% 0.56/0.78 thf(zip_derived_cl53, plain,
% 0.56/0.78 ((![X1 : $i]: (big_q @ X1)) <= ((![X1 : $i]: (big_q @ X1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf(zip_derived_cl30, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_q @ X0)) <= ((![X0 : $i]: ~ (big_q @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.78 thf('29', plain,
% 0.56/0.78 (~ (![X1 : $i]: (big_q @ X1)) | ~ (![X0 : $i]: ~ (big_q @ X0))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl30])).
% 0.56/0.78 thf(zip_derived_cl44, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl10])).
% 0.56/0.78 thf(zip_derived_cl3, plain,
% 0.56/0.78 (![X0 : $i, X1 : $i]:
% 0.56/0.78 ( (zip_tseitin_0 @ X0 @ X1) | (big_p @ X0) | (big_p @ X1))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.78 thf(zip_derived_cl95, plain,
% 0.56/0.78 ((![X0 : $i]: ( (big_p @ (sk__4 @ X0)) | (big_p @ X0)))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0)))),
% 0.56/0.78 inference('s_sup+', [status(thm)], [zip_derived_cl44, zip_derived_cl3])).
% 0.56/0.78 thf(zip_derived_cl54, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_p @ X0)) <= ((![X0 : $i]: ~ (big_p @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf(zip_derived_cl199, plain,
% 0.56/0.78 ((![X0 : $i]: (big_p @ X0))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0)) &
% 0.56/0.78 (![X0 : $i]: ~ (big_p @ X0)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl54])).
% 0.56/0.78 thf(zip_derived_cl54, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_p @ X0)) <= ((![X0 : $i]: ~ (big_p @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf('30', plain,
% 0.56/0.78 (~ (![X0 : $i]: ~ (zip_tseitin_0 @ (sk__4 @ X0) @ X0)) |
% 0.56/0.78 ~ (![X0 : $i]: ~ (big_p @ X0))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl199, zip_derived_cl54])).
% 0.56/0.78 thf(zip_derived_cl3, plain,
% 0.56/0.78 (![X0 : $i, X1 : $i]:
% 0.56/0.78 ( (zip_tseitin_0 @ X0 @ X1) | (big_p @ X0) | (big_p @ X1))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.78 thf(zip_derived_cl41, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl9])).
% 0.56/0.78 thf(zip_derived_cl90, plain,
% 0.56/0.78 ((![X0 : $i]: ( (big_p @ X0) | (big_p @ (sk__7 @ X0))))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl41])).
% 0.56/0.78 thf(zip_derived_cl54, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_p @ X0)) <= ((![X0 : $i]: ~ (big_p @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf(zip_derived_cl193, plain,
% 0.56/0.78 ((![X0 : $i]: (big_p @ X0))
% 0.56/0.78 <= ((![X0 : $i]: ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)) &
% 0.56/0.78 (![X0 : $i]: ~ (big_p @ X0)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl90, zip_derived_cl54])).
% 0.56/0.78 thf(zip_derived_cl54, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_p @ X0)) <= ((![X0 : $i]: ~ (big_p @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf('31', plain,
% 0.56/0.78 (~ (![X0 : $i]: ~ (zip_tseitin_0 @ (sk__7 @ X0) @ X0)) |
% 0.56/0.78 ~ (![X0 : $i]: ~ (big_p @ X0))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl193, zip_derived_cl54])).
% 0.56/0.78 thf(zip_derived_cl60, plain, (( (big_p @ sk__9)) <= (( (big_p @ sk__9)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl19])).
% 0.56/0.78 thf(zip_derived_cl54, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_p @ X0)) <= ((![X0 : $i]: ~ (big_p @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf('32', plain, (~ (![X0 : $i]: ~ (big_p @ X0)) | ~ ( (big_p @ sk__9))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl54])).
% 0.56/0.78 thf('33', plain,
% 0.56/0.78 (~ ( (zip_tseitin_4)) | (![X0 : $i]: ~ (big_p @ X0)) |
% 0.56/0.78 (![X1 : $i]: (big_q @ X1))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl17])).
% 0.56/0.78 thf(zip_derived_cl25, plain, ((~ (zip_tseitin_5) | ~ (zip_tseitin_2))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.56/0.78 thf('34', plain, (~ ( (zip_tseitin_5)) | ~ ( (zip_tseitin_2))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl25])).
% 0.56/0.78 thf('35', plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_q @ X0)) | ~ ( (zip_tseitin_1)) |
% 0.56/0.78 (![X1 : $i]: (big_p @ X1))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.78 thf(zip_derived_cl23, plain,
% 0.56/0.78 (![X0 : $i]:
% 0.56/0.78 ( (zip_tseitin_5) | (zip_tseitin_4) | (zip_tseitin_3 @ X0 @ sk__13))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.56/0.78 thf('36', plain,
% 0.56/0.78 ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__13)) | ( (zip_tseitin_5)) |
% 0.56/0.78 ( (zip_tseitin_4))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl23])).
% 0.56/0.78 thf(zip_derived_cl71, plain,
% 0.56/0.78 ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__13))
% 0.56/0.78 <= ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__13)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl23])).
% 0.56/0.78 thf(zip_derived_cl13, plain,
% 0.56/0.78 (![X0 : $i, X1 : $i]:
% 0.56/0.78 (~ (big_q @ X0) | (big_q @ X1) | ~ (zip_tseitin_3 @ X1 @ X0))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.78 thf(zip_derived_cl174, plain,
% 0.56/0.78 ((![X0 : $i]: (~ (big_q @ sk__13) | (big_q @ X0)))
% 0.56/0.78 <= ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__13)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl13])).
% 0.56/0.78 thf('37', plain,
% 0.56/0.78 (~ ( (big_q @ sk__13)) |
% 0.56/0.78 ~ (![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__13)) |
% 0.56/0.78 (![X1 : $i]: (big_q @ X1))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl174])).
% 0.56/0.78 thf(zip_derived_cl71, plain,
% 0.56/0.78 ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__13))
% 0.56/0.78 <= ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__13)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl23])).
% 0.56/0.78 thf(zip_derived_cl12, plain,
% 0.56/0.78 (![X0 : $i, X1 : $i]:
% 0.56/0.78 (~ (big_q @ X0) | (big_q @ X1) | ~ (zip_tseitin_3 @ X0 @ X1))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.78 thf(zip_derived_cl173, plain,
% 0.56/0.78 ((![X0 : $i]: (~ (big_q @ X0) | (big_q @ sk__13)))
% 0.56/0.78 <= ((![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__13)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl71, zip_derived_cl12])).
% 0.56/0.78 thf('38', plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_q @ X0)) | ( (big_q @ sk__13)) |
% 0.56/0.78 ~ (![X0 : $i]: (zip_tseitin_3 @ X0 @ sk__13))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl173])).
% 0.56/0.78 thf(zip_derived_cl7, plain,
% 0.56/0.78 (![X0 : $i]: ( (zip_tseitin_1) | (big_p @ X0) | (big_q @ sk__1))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.56/0.78 thf(zip_derived_cl36, plain, (( (big_q @ sk__1)) <= (( (big_q @ sk__1)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl7])).
% 0.56/0.78 thf(zip_derived_cl30, plain,
% 0.56/0.78 ((![X0 : $i]: ~ (big_q @ X0)) <= ((![X0 : $i]: ~ (big_q @ X0)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl5])).
% 0.56/0.78 thf('39', plain, (~ ( (big_q @ sk__1)) | ~ (![X0 : $i]: ~ (big_q @ X0))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl30])).
% 0.56/0.78 thf('40', plain,
% 0.56/0.78 (( (zip_tseitin_1)) | ( (big_q @ sk__1)) | (![X1 : $i]: (big_p @ X1))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl7])).
% 0.56/0.78 thf(zip_derived_cl8, plain,
% 0.56/0.78 (![X0 : $i]:
% 0.56/0.78 (~ (zip_tseitin_1) | (zip_tseitin_0 @ X0 @ sk__6) | ~ (zip_tseitin_2))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.78 thf('41', plain,
% 0.56/0.78 ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__6)) | ~ ( (zip_tseitin_1)) |
% 0.56/0.78 ~ ( (zip_tseitin_2))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.56/0.78 thf(zip_derived_cl38, plain,
% 0.56/0.78 ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__6))
% 0.56/0.78 <= ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__6)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.56/0.78 thf(zip_derived_cl0, plain,
% 0.56/0.78 (![X0 : $i, X1 : $i]:
% 0.56/0.78 (~ (big_p @ X0) | (big_p @ X1) | ~ (zip_tseitin_0 @ X0 @ X1))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.78 thf(zip_derived_cl137, plain,
% 0.56/0.78 ((![X0 : $i]: (~ (big_p @ X0) | (big_p @ sk__6)))
% 0.56/0.78 <= ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__6)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl0])).
% 0.56/0.78 thf('42', plain,
% 0.56/0.78 (( (big_p @ sk__6)) | ~ (![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__6)) |
% 0.56/0.78 (![X0 : $i]: ~ (big_p @ X0))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl137])).
% 0.56/0.78 thf(zip_derived_cl38, plain,
% 0.56/0.78 ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__6))
% 0.56/0.78 <= ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__6)))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl8])).
% 0.56/0.78 thf(zip_derived_cl1, plain,
% 0.56/0.78 (![X0 : $i, X1 : $i]:
% 0.56/0.78 (~ (big_p @ X0) | (big_p @ X1) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.56/0.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.56/0.78 thf(zip_derived_cl138, plain,
% 0.56/0.78 ((![X0 : $i]: (~ (big_p @ sk__6) | (big_p @ X0)))
% 0.56/0.78 <= ((![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__6)))),
% 0.56/0.78 inference('s_sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 0.56/0.78 thf('43', plain,
% 0.56/0.78 (~ ( (big_p @ sk__6)) | ~ (![X0 : $i]: (zip_tseitin_0 @ X0 @ sk__6)) |
% 0.56/0.78 (![X1 : $i]: (big_p @ X1))),
% 0.56/0.78 inference('split', [status(esa)], [zip_derived_cl138])).
% 0.56/0.78 thf(zip_derived_cl241, plain, ($false),
% 0.56/0.78 inference('sat_resolution*', [status(thm)],
% 0.56/0.78 ['0', '1', '2', '3', '4', '5', '6', '7', '8', '9', '10', '11',
% 0.56/0.78 '12', '13', '14', '15', '16', '17', '18', '19', '20', '21',
% 0.56/0.78 '22', '23', '24', '25', '26', '27', '28', '29', '30', '31',
% 0.56/0.78 '32', '33', '34', '35', '36', '37', '38', '39', '40', '41',
% 0.56/0.78 '42', '43'])).
% 0.56/0.78
% 0.56/0.78 % SZS output end Refutation
% 0.56/0.78
% 0.56/0.78
% 0.56/0.78 % Terminating...
% 0.59/0.85 % Runner terminated.
% 1.60/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------