%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN067+1 : 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.1J6lrsq7wL true
% Computer : n031.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 05:03:55 PM UTC 2025
% Result : Theorem 0.49s 0.74s
% Output : Refutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SYN067+1 : TPTP v9.2.0. Released v2.0.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.1J6lrsq7wL true
% 0.09/0.30 % Computer : n031.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 13:28:53 EDT 2025
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % Running portfolio for 300 s
% 0.09/0.31 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.31 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.16/0.31 % Running in FO mode
% 0.45/0.55 % Total configuration time : 435
% 0.45/0.55 % Estimated wc time : 1092
% 0.45/0.55 % Estimated cpu time (7 cpus) : 156.0
% 0.46/0.64 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.46/0.65 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.49/0.74 % Solved by fo/fo4.sh.
% 0.49/0.74 % done 80 iterations in 0.045s
% 0.49/0.74 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.49/0.74 % SZS output start Refutation
% 0.49/0.74 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.49/0.74 thf(sk__1_type, type, sk__1: $i > $i).
% 0.49/0.74 thf(big_p_type, type, big_p: $i > $o).
% 0.49/0.74 thf(sk__2_type, type, sk__2: $i > $i).
% 0.49/0.74 thf(sk__8_type, type, sk__8: $i).
% 0.49/0.74 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 0.49/0.74 thf(sk__4_type, type, sk__4: $i > $i).
% 0.49/0.74 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $o).
% 0.49/0.74 thf(a_type, type, a: $i).
% 0.49/0.74 thf(zip_tseitin_7_type, type, zip_tseitin_7: $i > $o).
% 0.49/0.74 thf(sk__3_type, type, sk__3: $i > $i).
% 0.49/0.74 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $o).
% 0.49/0.74 thf(sk__6_type, type, sk__6: $i > $i).
% 0.49/0.74 thf(sk__5_type, type, sk__5: $i > $i).
% 0.49/0.74 thf(sk__7_type, type, sk__7: $i > $i).
% 0.49/0.74 thf(sk__type, type, sk_: $i > $i).
% 0.49/0.74 thf(sk__9_type, type, sk__9: $i).
% 0.49/0.74 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $o).
% 0.49/0.74 thf(big_r_type, type, big_r: $i > $i > $o).
% 0.49/0.74 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $o).
% 0.49/0.74 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $o).
% 0.49/0.74 thf(pel38, conjecture,
% 0.49/0.74 (( ![X:$i]:
% 0.49/0.74 ( ( ( ( big_p @ X ) =>
% 0.49/0.74 ( ?[Y:$i]: ( ( big_p @ Y ) & ( big_r @ X @ Y ) ) ) ) &
% 0.49/0.74 ( big_p @ a ) ) =>
% 0.49/0.74 ( ?[Z:$i,W:$i]:
% 0.49/0.74 ( ( big_p @ Z ) & ( big_r @ X @ W ) & ( big_r @ W @ Z ) ) ) ) ) <=>
% 0.49/0.74 ( ![X1:$i]:
% 0.49/0.74 ( ( ( ~( big_p @ a ) ) | ( big_p @ X1 ) |
% 0.49/0.74 ( ?[Z1:$i,W1:$i]:
% 0.49/0.74 ( ( big_p @ Z1 ) & ( big_r @ X1 @ W1 ) & ( big_r @ W1 @ Z1 ) ) ) ) &
% 0.49/0.74 ( ( ~( big_p @ a ) ) |
% 0.49/0.74 ( ~( ?[Y1:$i]: ( ( big_p @ Y1 ) & ( big_r @ X1 @ Y1 ) ) ) ) |
% 0.49/0.74 ( ?[Z2:$i,W2:$i]:
% 0.49/0.74 ( ( big_p @ Z2 ) & ( big_r @ X1 @ W2 ) & ( big_r @ W2 @ Z2 ) ) ) ) ) ))).
% 0.49/0.74 thf(zf_stmt_0, axiom,
% 0.49/0.74 (![X1:$i]:
% 0.49/0.74 ( ( zip_tseitin_7 @ X1 ) <=>
% 0.49/0.74 ( ( zip_tseitin_6 @ X1 ) & ( zip_tseitin_5 @ X1 ) ) ))).
% 0.49/0.74 thf(zip_derived_cl26, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 ( (zip_tseitin_7 @ X0)
% 0.49/0.74 | ~ (zip_tseitin_5 @ X0)
% 0.49/0.74 | ~ (zip_tseitin_6 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.74 thf(zf_stmt_1, type, zip_tseitin_7 : $i > $o).
% 0.49/0.74 thf(zf_stmt_2, type, zip_tseitin_6 : $i > $o).
% 0.49/0.74 thf(zf_stmt_3, axiom,
% 0.49/0.74 (![X1:$i]:
% 0.49/0.74 ( ( zip_tseitin_6 @ X1 ) <=>
% 0.49/0.74 ( ( ?[Z2:$i,W2:$i]: ( zip_tseitin_3 @ W2 @ Z2 @ X1 ) ) |
% 0.49/0.74 ( ~( ?[Y1:$i]: ( zip_tseitin_0 @ Y1 @ X1 ) ) ) | ( ~( big_p @ a ) ) ) ))).
% 0.49/0.74 thf(zf_stmt_4, type, zip_tseitin_5 : $i > $o).
% 0.49/0.74 thf(zf_stmt_5, axiom,
% 0.49/0.74 (![X1:$i]:
% 0.49/0.74 ( ( zip_tseitin_5 @ X1 ) <=>
% 0.49/0.74 ( ( ?[Z1:$i,W1:$i]: ( zip_tseitin_3 @ W1 @ Z1 @ X1 ) ) |
% 0.49/0.74 ( big_p @ X1 ) | ( ~( big_p @ a ) ) ) ))).
% 0.49/0.74 thf(zf_stmt_6, type, zip_tseitin_4 : $i > $o).
% 0.49/0.74 thf(zf_stmt_7, axiom,
% 0.49/0.74 (![X:$i]:
% 0.49/0.74 ( ( zip_tseitin_4 @ X ) <=>
% 0.49/0.74 ( ( zip_tseitin_2 @ X ) =>
% 0.49/0.74 ( ?[Z:$i,W:$i]: ( zip_tseitin_3 @ W @ Z @ X ) ) ) ))).
% 0.49/0.74 thf(zf_stmt_8, type, zip_tseitin_3 : $i > $i > $i > $o).
% 0.49/0.74 thf(zf_stmt_9, axiom,
% 0.49/0.74 (![W:$i,Z:$i,X:$i]:
% 0.49/0.74 ( ( zip_tseitin_3 @ W @ Z @ X ) <=>
% 0.49/0.74 ( ( big_r @ W @ Z ) & ( big_r @ X @ W ) & ( big_p @ Z ) ) ))).
% 0.49/0.74 thf(zf_stmt_10, type, zip_tseitin_2 : $i > $o).
% 0.49/0.74 thf(zf_stmt_11, axiom,
% 0.49/0.74 (![X:$i]:
% 0.49/0.74 ( ( zip_tseitin_2 @ X ) <=> ( ( big_p @ a ) & ( zip_tseitin_1 @ X ) ) ))).
% 0.49/0.74 thf(zf_stmt_12, type, zip_tseitin_1 : $i > $o).
% 0.49/0.74 thf(zf_stmt_13, axiom,
% 0.49/0.74 (![X:$i]:
% 0.49/0.74 ( ( zip_tseitin_1 @ X ) <=>
% 0.49/0.74 ( ( big_p @ X ) => ( ?[Y:$i]: ( zip_tseitin_0 @ Y @ X ) ) ) ))).
% 0.49/0.74 thf(zf_stmt_14, type, zip_tseitin_0 : $i > $i > $o).
% 0.49/0.74 thf(zf_stmt_15, axiom,
% 0.49/0.74 (![Y:$i,X:$i]:
% 0.49/0.74 ( ( zip_tseitin_0 @ Y @ X ) <=> ( ( big_r @ X @ Y ) & ( big_p @ Y ) ) ))).
% 0.49/0.74 thf(zf_stmt_16, conjecture,
% 0.49/0.74 (( ![X:$i]: ( zip_tseitin_4 @ X ) ) <=>
% 0.49/0.74 ( ![X1:$i]: ( zip_tseitin_7 @ X1 ) ))).
% 0.49/0.74 thf(zf_stmt_17, negated_conjecture,
% 0.49/0.74 (~( ( ![X:$i]: ( zip_tseitin_4 @ X ) ) <=>
% 0.49/0.74 ( ![X1:$i]: ( zip_tseitin_7 @ X1 ) ) )),
% 0.49/0.74 inference('cnf.neg', [status(esa)], [zf_stmt_16])).
% 0.49/0.74 thf(zip_derived_cl28, plain,
% 0.49/0.74 ((~ (zip_tseitin_7 @ sk__8) | ~ (zip_tseitin_4 @ sk__9))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.49/0.74 thf(zip_derived_cl37, plain,
% 0.49/0.74 ((~ (zip_tseitin_6 @ sk__8)
% 0.49/0.74 | ~ (zip_tseitin_5 @ sk__8)
% 0.49/0.74 | ~ (zip_tseitin_4 @ sk__9))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl28])).
% 0.49/0.74 thf(zip_derived_cl13, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 (~ (zip_tseitin_2 @ X0)
% 0.49/0.74 | (zip_tseitin_3 @ (sk__2 @ X0) @ (sk__1 @ X0) @ X0)
% 0.49/0.74 | ~ (zip_tseitin_4 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.49/0.74 thf(zip_derived_cl21, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.74 ( (zip_tseitin_6 @ X0) | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.74 thf(zip_derived_cl96, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 (~ (zip_tseitin_4 @ X0)
% 0.49/0.74 | ~ (zip_tseitin_2 @ X0)
% 0.49/0.74 | (zip_tseitin_6 @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl21])).
% 0.49/0.74 thf(zip_derived_cl27, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i]: ( (zip_tseitin_7 @ X0) | (zip_tseitin_4 @ X1))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.49/0.74 thf(zip_derived_cl24, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_6 @ X0) | ~ (zip_tseitin_7 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.74 thf(zip_derived_cl54, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i]: ( (zip_tseitin_4 @ X1) | (zip_tseitin_6 @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl24])).
% 0.49/0.74 thf(zip_derived_cl111, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_6 @ X0) | ~ (zip_tseitin_2 @ X0))),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl96, zip_derived_cl54])).
% 0.49/0.74 thf(zip_derived_cl22, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 ( (zip_tseitin_6 @ X0) | (zip_tseitin_0 @ (sk__5 @ X0) @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.74 thf(zip_derived_cl4, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i]:
% 0.49/0.74 ( (zip_tseitin_1 @ X0) | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.49/0.74 thf(zip_derived_cl70, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_6 @ X0) | (zip_tseitin_1 @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl4])).
% 0.49/0.74 thf(zip_derived_cl8, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 ( (zip_tseitin_2 @ X0) | ~ (zip_tseitin_1 @ X0) | ~ (big_p @ a))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.49/0.74 thf(zip_derived_cl23, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_6 @ X0) | (big_p @ a))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.74 thf(zip_derived_cl37, plain,
% 0.49/0.74 ((~ (zip_tseitin_6 @ sk__8)
% 0.49/0.74 | ~ (zip_tseitin_5 @ sk__8)
% 0.49/0.74 | ~ (zip_tseitin_4 @ sk__9))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl28])).
% 0.49/0.74 thf(zip_derived_cl43, plain,
% 0.49/0.74 (( (big_p @ a) | ~ (zip_tseitin_4 @ sk__9) | ~ (zip_tseitin_5 @ sk__8))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl37])).
% 0.49/0.74 thf(zip_derived_cl15, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_4 @ X0) | (zip_tseitin_2 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.49/0.74 thf(zip_derived_cl6, plain,
% 0.49/0.74 (![X0 : $i]: ( (big_p @ a) | ~ (zip_tseitin_2 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.49/0.74 thf(zip_derived_cl34, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_4 @ X0) | (big_p @ a))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl15, zip_derived_cl6])).
% 0.49/0.74 thf(zip_derived_cl44, plain, ((~ (zip_tseitin_5 @ sk__8) | (big_p @ a))),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl43, zip_derived_cl34])).
% 0.49/0.74 thf(zip_derived_cl19, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_5 @ X0) | (big_p @ a))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.74 thf(zip_derived_cl45, plain, ( (big_p @ a)),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl19])).
% 0.49/0.74 thf(zip_derived_cl46, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_2 @ X0) | ~ (zip_tseitin_1 @ X0))),
% 0.49/0.74 inference('demod', [status(thm)], [zip_derived_cl8, zip_derived_cl45])).
% 0.49/0.74 thf(zip_derived_cl72, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_6 @ X0) | (zip_tseitin_2 @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl46])).
% 0.49/0.74 thf(zip_derived_cl112, plain, (![X0 : $i]: (zip_tseitin_6 @ X0)),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl72])).
% 0.49/0.74 thf(zip_derived_cl114, plain,
% 0.49/0.74 ((~ (zip_tseitin_5 @ sk__8) | ~ (zip_tseitin_4 @ sk__9))),
% 0.49/0.74 inference('demod', [status(thm)], [zip_derived_cl37, zip_derived_cl112])).
% 0.49/0.74 thf(zip_derived_cl13, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 (~ (zip_tseitin_2 @ X0)
% 0.49/0.74 | (zip_tseitin_3 @ (sk__2 @ X0) @ (sk__1 @ X0) @ X0)
% 0.49/0.74 | ~ (zip_tseitin_4 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.49/0.74 thf(zip_derived_cl17, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.74 ( (zip_tseitin_5 @ X0) | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.74 thf(zip_derived_cl95, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 (~ (zip_tseitin_4 @ X0)
% 0.49/0.74 | ~ (zip_tseitin_2 @ X0)
% 0.49/0.74 | (zip_tseitin_5 @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl13, zip_derived_cl17])).
% 0.49/0.74 thf(zip_derived_cl27, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i]: ( (zip_tseitin_7 @ X0) | (zip_tseitin_4 @ X1))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_17])).
% 0.49/0.74 thf(zip_derived_cl25, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_5 @ X0) | ~ (zip_tseitin_7 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.49/0.74 thf(zip_derived_cl55, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i]: ( (zip_tseitin_4 @ X1) | (zip_tseitin_5 @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl25])).
% 0.49/0.74 thf(zip_derived_cl104, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_5 @ X0) | ~ (zip_tseitin_2 @ X0))),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl95, zip_derived_cl55])).
% 0.49/0.74 thf(zip_derived_cl5, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_1 @ X0) | (big_p @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.49/0.74 thf(zip_derived_cl8, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 ( (zip_tseitin_2 @ X0) | ~ (zip_tseitin_1 @ X0) | ~ (big_p @ a))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.49/0.74 thf(zip_derived_cl31, plain,
% 0.49/0.74 (![X0 : $i]: ( (big_p @ X0) | ~ (big_p @ a) | (zip_tseitin_2 @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl8])).
% 0.49/0.74 thf(zip_derived_cl45, plain, ( (big_p @ a)),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl19])).
% 0.49/0.74 thf(zip_derived_cl47, plain,
% 0.49/0.74 (![X0 : $i]: ( (big_p @ X0) | (zip_tseitin_2 @ X0))),
% 0.49/0.74 inference('demod', [status(thm)], [zip_derived_cl31, zip_derived_cl45])).
% 0.49/0.74 thf(zip_derived_cl106, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_5 @ X0) | (big_p @ X0))),
% 0.49/0.74 inference('sup+', [status(thm)], [zip_derived_cl104, zip_derived_cl47])).
% 0.49/0.74 thf(zip_derived_cl18, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_5 @ X0) | ~ (big_p @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.74 thf(zip_derived_cl127, plain, (![X0 : $i]: (zip_tseitin_5 @ X0)),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl106, zip_derived_cl18])).
% 0.49/0.74 thf(zip_derived_cl130, plain, (~ (zip_tseitin_4 @ sk__9)),
% 0.49/0.74 inference('demod', [status(thm)], [zip_derived_cl114, zip_derived_cl127])).
% 0.49/0.74 thf(zip_derived_cl3, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 (~ (big_p @ X0)
% 0.49/0.74 | (zip_tseitin_0 @ (sk_ @ X0) @ X0)
% 0.49/0.74 | ~ (zip_tseitin_1 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.49/0.74 thf(zip_derived_cl20, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i]:
% 0.49/0.74 (~ (big_p @ a)
% 0.49/0.74 | ~ (zip_tseitin_0 @ X0 @ X1)
% 0.49/0.74 | (zip_tseitin_3 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.49/0.74 | ~ (zip_tseitin_6 @ X1))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.49/0.74 thf(zip_derived_cl45, plain, ( (big_p @ a)),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl19])).
% 0.49/0.74 thf(zip_derived_cl74, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i]:
% 0.49/0.74 (~ (zip_tseitin_0 @ X0 @ X1)
% 0.49/0.74 | (zip_tseitin_3 @ (sk__7 @ X1) @ (sk__6 @ X1) @ X1)
% 0.49/0.74 | ~ (zip_tseitin_6 @ X1))),
% 0.49/0.74 inference('demod', [status(thm)], [zip_derived_cl20, zip_derived_cl45])).
% 0.49/0.74 thf(zip_derived_cl75, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 (~ (zip_tseitin_1 @ X0)
% 0.49/0.74 | ~ (big_p @ X0)
% 0.49/0.74 | ~ (zip_tseitin_6 @ X0)
% 0.49/0.74 | (zip_tseitin_3 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl74])).
% 0.49/0.74 thf(zip_derived_cl112, plain, (![X0 : $i]: (zip_tseitin_6 @ X0)),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl111, zip_derived_cl72])).
% 0.49/0.74 thf(zip_derived_cl116, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 (~ (zip_tseitin_1 @ X0)
% 0.49/0.74 | ~ (big_p @ X0)
% 0.49/0.74 | (zip_tseitin_3 @ (sk__7 @ X0) @ (sk__6 @ X0) @ X0))),
% 0.49/0.74 inference('demod', [status(thm)], [zip_derived_cl75, zip_derived_cl112])).
% 0.49/0.74 thf(zip_derived_cl14, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.74 ( (zip_tseitin_4 @ X0) | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.49/0.74 thf(zip_derived_cl147, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 (~ (big_p @ X0) | ~ (zip_tseitin_1 @ X0) | (zip_tseitin_4 @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl116, zip_derived_cl14])).
% 0.49/0.74 thf(zip_derived_cl55, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i]: ( (zip_tseitin_4 @ X1) | (zip_tseitin_5 @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl27, zip_derived_cl25])).
% 0.49/0.74 thf(zip_derived_cl16, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 (~ (big_p @ a)
% 0.49/0.74 | (big_p @ X0)
% 0.49/0.74 | (zip_tseitin_3 @ (sk__4 @ X0) @ (sk__3 @ X0) @ X0)
% 0.49/0.74 | ~ (zip_tseitin_5 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.49/0.74 thf(zip_derived_cl45, plain, ( (big_p @ a)),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl44, zip_derived_cl19])).
% 0.49/0.74 thf(zip_derived_cl77, plain,
% 0.49/0.74 (![X0 : $i]:
% 0.49/0.74 ( (big_p @ X0)
% 0.49/0.74 | (zip_tseitin_3 @ (sk__4 @ X0) @ (sk__3 @ X0) @ X0)
% 0.49/0.74 | ~ (zip_tseitin_5 @ X0))),
% 0.49/0.74 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl45])).
% 0.49/0.74 thf(zip_derived_cl79, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i]:
% 0.49/0.74 ( (zip_tseitin_4 @ X1)
% 0.49/0.74 | (zip_tseitin_3 @ (sk__4 @ X0) @ (sk__3 @ X0) @ X0)
% 0.49/0.74 | (big_p @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl55, zip_derived_cl77])).
% 0.49/0.74 thf(zip_derived_cl14, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.49/0.74 ( (zip_tseitin_4 @ X0) | ~ (zip_tseitin_3 @ X1 @ X2 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.49/0.74 thf(zip_derived_cl121, plain,
% 0.49/0.74 (![X0 : $i, X1 : $i]:
% 0.49/0.74 ( (big_p @ X0) | (zip_tseitin_4 @ X1) | (zip_tseitin_4 @ X0))),
% 0.49/0.74 inference('sup-', [status(thm)], [zip_derived_cl79, zip_derived_cl14])).
% 0.49/0.74 thf(zip_derived_cl143, plain,
% 0.49/0.74 (![X0 : $i]: ( (big_p @ X0) | (zip_tseitin_4 @ X0))),
% 0.49/0.74 inference('condensation', [status(thm)], [zip_derived_cl121])).
% 0.49/0.74 thf(zip_derived_cl149, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_4 @ X0) | ~ (zip_tseitin_1 @ X0))),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl147, zip_derived_cl143])).
% 0.49/0.74 thf(zip_derived_cl7, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_1 @ X0) | ~ (zip_tseitin_2 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.49/0.74 thf(zip_derived_cl151, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_4 @ X0) | ~ (zip_tseitin_2 @ X0))),
% 0.49/0.74 inference('sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl7])).
% 0.49/0.74 thf(zip_derived_cl15, plain,
% 0.49/0.74 (![X0 : $i]: ( (zip_tseitin_4 @ X0) | (zip_tseitin_2 @ X0))),
% 0.49/0.74 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.49/0.74 thf(zip_derived_cl154, plain, (![X0 : $i]: (zip_tseitin_4 @ X0)),
% 0.49/0.74 inference('clc', [status(thm)], [zip_derived_cl151, zip_derived_cl15])).
% 0.49/0.74 thf(zip_derived_cl157, plain, ($false),
% 0.49/0.74 inference('demod', [status(thm)], [zip_derived_cl130, zip_derived_cl154])).
% 0.49/0.74
% 0.49/0.74 % SZS output end Refutation
% 0.49/0.74
% 0.49/0.74
% 0.49/0.74 % Terminating...
% 1.42/0.78 % Runner terminated.
% 1.42/0.79 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------