%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN353+1 : TPTP v9.2.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WxHs77sXUR 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 05:04:34 PM UTC 2025
% Result : Theorem 0.52s 0.86s
% Output : Refutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN353+1 : TPTP v9.2.0. Released v2.0.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.WxHs77sXUR true
% 0.11/0.32 % Computer : n031.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Oct 1 13:32:23 EDT 2025
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % Running portfolio for 300 s
% 0.11/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32 % Number of cores: 8
% 0.11/0.32 % Python version: Python 3.6.8
% 0.11/0.33 % Running in FO mode
% 0.51/0.63 % Total configuration time : 435
% 0.51/0.63 % Estimated wc time : 1092
% 0.51/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.52/0.86 % Solved by fo/fo3_bce.sh.
% 0.52/0.86 % BCE start: 31
% 0.52/0.86 % BCE eliminated: 0
% 0.52/0.86 % PE start: 31
% 0.52/0.86 logic: neq
% 0.52/0.86 % PE eliminated: 14
% 0.52/0.86 % done 108 iterations in 0.101s
% 0.52/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.86 % SZS output start Refutation
% 0.52/0.86 thf(sk__1_type, type, sk__1: $i > $i > $i > $i).
% 0.52/0.86 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $o).
% 0.52/0.86 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.52/0.86 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $o).
% 0.52/0.86 thf(zip_tseitin_6_type, type, zip_tseitin_6: $i > $i > $i > $o).
% 0.52/0.86 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $o).
% 0.52/0.86 thf(sk__type, type, sk_: $i).
% 0.52/0.86 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $o).
% 0.52/0.86 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $o).
% 0.52/0.86 thf(big_f_type, type, big_f: $i > $i > $i > $o).
% 0.52/0.86 thf(church_46_18_5, conjecture,
% 0.52/0.86 (![X:$i]:
% 0.52/0.86 ( ?[Y1:$i,Y2:$i,Y3:$i]:
% 0.52/0.86 ( ![Z:$i]:
% 0.52/0.86 ( ( ( big_f @ Y1 @ Y2 @ Y3 ) =>
% 0.52/0.86 ( ( big_f @ X @ X @ Z ) =>
% 0.52/0.86 ( ( big_f @ Y3 @ Y1 @ Y2 ) | ( big_f @ Y2 @ Y3 @ Y1 ) ) ) ) =>
% 0.52/0.86 ( ( ( ( big_f @ Y3 @ Y1 @ Y2 ) =>
% 0.52/0.86 ( ( big_f @ Y2 @ Y3 @ Y1 ) & ( big_f @ Y1 @ Y2 @ Y3 ) ) ) <=>
% 0.52/0.86 ( big_f @ Y2 @ Y1 @ Z ) ) =>
% 0.52/0.86 ( ( ( ( big_f @ Y2 @ Y3 @ Y1 ) =>
% 0.52/0.86 ( ( big_f @ Y3 @ Y1 @ Y2 ) & ( big_f @ Y1 @ Y2 @ Y3 ) ) ) <=>
% 0.52/0.86 ( big_f @ Y1 @ Z @ Y2 ) ) =>
% 0.52/0.86 ( ( ( ( ( big_f @ Y3 @ Y1 @ Y2 ) =>
% 0.52/0.86 ( ~( big_f @ Y2 @ Y3 @ Y1 ) ) ) =>
% 0.52/0.86 ( big_f @ Y1 @ Y2 @ Y3 ) ) <=>
% 0.52/0.86 ( big_f @ Z @ Y2 @ Y1 ) ) =>
% 0.52/0.86 ( ( ( big_f @ Y3 @ Y1 @ Y2 ) & ( big_f @ Y2 @ Y3 @ Y1 ) &
% 0.52/0.86 ( big_f @ Y1 @ Y2 @ Y3 ) ) <=>
% 0.52/0.86 ( big_f @ Z @ Z @ Z ) ) ) ) ) ) ) ))).
% 0.52/0.86 thf(zf_stmt_0, axiom,
% 0.52/0.86 (![Y3:$i,Y2:$i,Y1:$i]:
% 0.52/0.86 ( ( zip_tseitin_6 @ Y3 @ Y2 @ Y1 ) <=>
% 0.52/0.86 ( ( big_f @ Y1 @ Y2 @ Y3 ) & ( big_f @ Y2 @ Y3 @ Y1 ) &
% 0.52/0.86 ( big_f @ Y3 @ Y1 @ Y2 ) ) ))).
% 0.52/0.86 thf(zip_derived_cl21, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 ( (zip_tseitin_6 @ X0 @ X1 @ X2)
% 0.52/0.86 | ~ (big_f @ X0 @ X2 @ X1)
% 0.52/0.86 | ~ (big_f @ X1 @ X0 @ X2)
% 0.52/0.86 | ~ (big_f @ X2 @ X1 @ X0))),
% 0.52/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.52/0.86 thf(zf_stmt_1, type, zip_tseitin_6 : $i > $i > $i > $o).
% 0.52/0.86 thf(zf_stmt_2, type, zip_tseitin_5 : $i > $i > $i > $o).
% 0.52/0.86 thf(zf_stmt_3, axiom,
% 0.52/0.86 (![Y3:$i,Y2:$i,Y1:$i]:
% 0.52/0.86 ( ( zip_tseitin_5 @ Y3 @ Y2 @ Y1 ) <=>
% 0.52/0.86 ( ( zip_tseitin_4 @ Y3 @ Y2 @ Y1 ) => ( big_f @ Y1 @ Y2 @ Y3 ) ) ))).
% 0.52/0.86 thf(zf_stmt_4, type, zip_tseitin_4 : $i > $i > $i > $o).
% 0.52/0.86 thf(zf_stmt_5, axiom,
% 0.52/0.86 (![Y3:$i,Y2:$i,Y1:$i]:
% 0.52/0.86 ( ( zip_tseitin_4 @ Y3 @ Y2 @ Y1 ) <=>
% 0.52/0.86 ( ( big_f @ Y3 @ Y1 @ Y2 ) => ( ~( big_f @ Y2 @ Y3 @ Y1 ) ) ) ))).
% 0.52/0.86 thf(zf_stmt_6, type, zip_tseitin_3 : $i > $i > $i > $o).
% 0.52/0.86 thf(zf_stmt_7, axiom,
% 0.52/0.86 (![Y3:$i,Y2:$i,Y1:$i]:
% 0.52/0.86 ( ( zip_tseitin_3 @ Y3 @ Y2 @ Y1 ) <=>
% 0.52/0.86 ( ( big_f @ Y2 @ Y3 @ Y1 ) => ( zip_tseitin_2 @ Y3 @ Y2 @ Y1 ) ) ))).
% 0.52/0.86 thf(zf_stmt_8, type, zip_tseitin_2 : $i > $i > $i > $o).
% 0.52/0.86 thf(zf_stmt_9, axiom,
% 0.52/0.86 (![Y3:$i,Y2:$i,Y1:$i]:
% 0.52/0.86 ( ( zip_tseitin_2 @ Y3 @ Y2 @ Y1 ) <=>
% 0.52/0.86 ( ( big_f @ Y1 @ Y2 @ Y3 ) & ( big_f @ Y3 @ Y1 @ Y2 ) ) ))).
% 0.52/0.86 thf(zf_stmt_10, type, zip_tseitin_1 : $i > $i > $i > $o).
% 0.52/0.86 thf(zf_stmt_11, axiom,
% 0.52/0.86 (![Y3:$i,Y2:$i,Y1:$i]:
% 0.52/0.86 ( ( zip_tseitin_1 @ Y3 @ Y2 @ Y1 ) <=>
% 0.52/0.86 ( ( big_f @ Y3 @ Y1 @ Y2 ) => ( zip_tseitin_0 @ Y3 @ Y2 @ Y1 ) ) ))).
% 0.52/0.86 thf(zf_stmt_12, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.52/0.86 thf(zf_stmt_13, axiom,
% 0.52/0.86 (![Y3:$i,Y2:$i,Y1:$i]:
% 0.52/0.86 ( ( zip_tseitin_0 @ Y3 @ Y2 @ Y1 ) <=>
% 0.52/0.86 ( ( big_f @ Y1 @ Y2 @ Y3 ) & ( big_f @ Y2 @ Y3 @ Y1 ) ) ))).
% 0.52/0.86 thf(zf_stmt_14, conjecture,
% 0.52/0.86 (![X:$i]:
% 0.52/0.86 ( ?[Y1:$i,Y2:$i,Y3:$i]:
% 0.52/0.86 ( ![Z:$i]:
% 0.52/0.86 ( ( ( big_f @ Y1 @ Y2 @ Y3 ) =>
% 0.52/0.86 ( ( big_f @ X @ X @ Z ) =>
% 0.52/0.86 ( ( big_f @ Y2 @ Y3 @ Y1 ) | ( big_f @ Y3 @ Y1 @ Y2 ) ) ) ) =>
% 0.52/0.86 ( ( ( zip_tseitin_1 @ Y3 @ Y2 @ Y1 ) <=> ( big_f @ Y2 @ Y1 @ Z ) ) =>
% 0.52/0.86 ( ( ( zip_tseitin_3 @ Y3 @ Y2 @ Y1 ) <=> ( big_f @ Y1 @ Z @ Y2 ) ) =>
% 0.52/0.86 ( ( ( zip_tseitin_5 @ Y3 @ Y2 @ Y1 ) <=> ( big_f @ Z @ Y2 @ Y1 ) ) =>
% 0.52/0.86 ( ( zip_tseitin_6 @ Y3 @ Y2 @ Y1 ) <=> ( big_f @ Z @ Z @ Z ) ) ) ) ) ) ) ))).
% 0.52/0.86 thf(zf_stmt_15, negated_conjecture,
% 0.52/0.86 (~( ![X:$i]:
% 0.52/0.86 ( ?[Y1:$i,Y2:$i,Y3:$i]:
% 0.52/0.86 ( ![Z:$i]:
% 0.52/0.86 ( ( ( big_f @ Y1 @ Y2 @ Y3 ) =>
% 0.52/0.86 ( ( big_f @ X @ X @ Z ) =>
% 0.52/0.86 ( ( big_f @ Y2 @ Y3 @ Y1 ) | ( big_f @ Y3 @ Y1 @ Y2 ) ) ) ) =>
% 0.52/0.86 ( ( ( zip_tseitin_1 @ Y3 @ Y2 @ Y1 ) <=> ( big_f @ Y2 @ Y1 @ Z ) ) =>
% 0.52/0.86 ( ( ( zip_tseitin_3 @ Y3 @ Y2 @ Y1 ) <=>
% 0.52/0.86 ( big_f @ Y1 @ Z @ Y2 ) ) =>
% 0.52/0.86 ( ( ( zip_tseitin_5 @ Y3 @ Y2 @ Y1 ) <=>
% 0.52/0.86 ( big_f @ Z @ Y2 @ Y1 ) ) =>
% 0.52/0.86 ( ( zip_tseitin_6 @ Y3 @ Y2 @ Y1 ) <=>
% 0.52/0.86 ( big_f @ Z @ Z @ Z ) ) ) ) ) ) ) ) )),
% 0.52/0.86 inference('cnf.neg', [status(esa)], [zf_stmt_14])).
% 0.52/0.86 thf(zip_derived_cl26, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 (~ (big_f @ (sk__1 @ X0 @ X1 @ X2) @ (sk__1 @ X0 @ X1 @ X2) @
% 0.52/0.86 (sk__1 @ X0 @ X1 @ X2))
% 0.52/0.86 | ~ (zip_tseitin_6 @ X0 @ X1 @ X2))),
% 0.52/0.86 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.86 thf(zip_derived_cl53, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 (~ (big_f @ X0 @ X1 @ X2)
% 0.52/0.86 | ~ (big_f @ X1 @ X2 @ X0)
% 0.52/0.86 | ~ (big_f @ X2 @ X0 @ X1)
% 0.52/0.86 | ~ (big_f @ (sk__1 @ X2 @ X1 @ X0) @ (sk__1 @ X2 @ X1 @ X0) @
% 0.52/0.86 (sk__1 @ X2 @ X1 @ X0)))),
% 0.52/0.86 inference('dp-resolution', [status(thm)],
% 0.52/0.86 [zip_derived_cl21, zip_derived_cl26])).
% 0.52/0.86 thf(zip_derived_cl28, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 ( (zip_tseitin_5 @ X0 @ X1 @ X2)
% 0.52/0.86 | ~ (big_f @ (sk__1 @ X0 @ X1 @ X2) @ X1 @ X2))),
% 0.52/0.86 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.86 thf(zip_derived_cl13, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 ( (zip_tseitin_4 @ X0 @ X1 @ X2) | (big_f @ X1 @ X0 @ X2))),
% 0.52/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.52/0.86 thf(zip_derived_cl15, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 (~ (zip_tseitin_4 @ X0 @ X1 @ X2)
% 0.52/0.86 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.86 | ~ (zip_tseitin_5 @ X0 @ X1 @ X2))),
% 0.52/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.52/0.86 thf(zip_derived_cl48, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 ( (big_f @ X1 @ X2 @ X0)
% 0.52/0.86 | ~ (zip_tseitin_5 @ X2 @ X1 @ X0)
% 0.52/0.86 | (big_f @ X0 @ X1 @ X2))),
% 0.52/0.86 inference('dp-resolution', [status(thm)],
% 0.52/0.86 [zip_derived_cl13, zip_derived_cl15])).
% 0.52/0.86 thf(zip_derived_cl80, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 (~ (big_f @ (sk__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.52/0.86 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.86 | (big_f @ X1 @ X0 @ X2))),
% 0.52/0.86 inference('dp-resolution', [status(thm)],
% 0.52/0.86 [zip_derived_cl28, zip_derived_cl48])).
% 0.52/0.86 thf(zip_derived_cl17, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 ( (zip_tseitin_5 @ X0 @ X1 @ X2) | (zip_tseitin_4 @ X0 @ X1 @ X2))),
% 0.52/0.86 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.52/0.86 thf(zip_derived_cl12, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 (~ (big_f @ X0 @ X1 @ X2)
% 0.52/0.86 | ~ (big_f @ X2 @ X0 @ X1)
% 0.52/0.86 | ~ (zip_tseitin_4 @ X0 @ X2 @ X1))),
% 0.52/0.86 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.52/0.86 thf(zip_derived_cl47, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 ( (zip_tseitin_5 @ X1 @ X2 @ X0)
% 0.52/0.86 | ~ (big_f @ X2 @ X1 @ X0)
% 0.52/0.86 | ~ (big_f @ X1 @ X0 @ X2))),
% 0.52/0.86 inference('dp-resolution', [status(thm)],
% 0.52/0.86 [zip_derived_cl17, zip_derived_cl12])).
% 0.52/0.86 thf(zip_derived_cl27, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 ( (big_f @ (sk__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.52/0.86 | ~ (zip_tseitin_5 @ X0 @ X1 @ X2))),
% 0.52/0.86 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.86 thf(zip_derived_cl82, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 (~ (big_f @ X2 @ X0 @ X1)
% 0.52/0.86 | ~ (big_f @ X1 @ X2 @ X0)
% 0.52/0.86 | (big_f @ (sk__1 @ X2 @ X1 @ X0) @ X1 @ X0))),
% 0.52/0.86 inference('dp-resolution', [status(thm)],
% 0.52/0.86 [zip_derived_cl47, zip_derived_cl27])).
% 0.52/0.86 thf(zip_derived_cl22, plain,
% 0.52/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.86 (~ (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ X1 @ X2))
% 0.52/0.86 | (big_f @ X1 @ X0 @ X2)
% 0.52/0.86 | (big_f @ X0 @ X2 @ X1)
% 0.52/0.86 | ~ (big_f @ X2 @ X1 @ X0))),
% 0.52/0.86 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl16, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (zip_tseitin_5 @ X0 @ X1 @ X2) | ~ (big_f @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.52/0.87 thf(zip_derived_cl27, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ (sk__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.52/0.87 | ~ (zip_tseitin_5 @ X0 @ X1 @ X2))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl76, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X0 @ X1 @ X2)
% 0.52/0.87 | (big_f @ (sk__1 @ X2 @ X1 @ X0) @ X1 @ X0))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl16, zip_derived_cl27])).
% 0.52/0.87 thf(zip_derived_cl30, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (zip_tseitin_1 @ X0 @ X1 @ X2)
% 0.52/0.87 | ~ (big_f @ X1 @ X2 @ (sk__1 @ X0 @ X1 @ X2)))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl3, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X0 @ X1 @ X2)
% 0.52/0.87 | (zip_tseitin_0 @ X0 @ X2 @ X1)
% 0.52/0.87 | ~ (zip_tseitin_1 @ X0 @ X2 @ X1))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.52/0.87 thf(zip_derived_cl0, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ X1 @ X2) | ~ (zip_tseitin_0 @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.52/0.87 thf(zip_derived_cl41, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (zip_tseitin_1 @ X0 @ X1 @ X2)
% 0.52/0.87 | ~ (big_f @ X0 @ X2 @ X1)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl3, zip_derived_cl0])).
% 0.52/0.87 thf(zip_derived_cl62, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X1 @ X2 @ (sk__1 @ X0 @ X1 @ X2))
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | ~ (big_f @ X0 @ X2 @ X1))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl30, zip_derived_cl41])).
% 0.52/0.87 thf(zip_derived_cl82, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X2 @ X0 @ X1)
% 0.52/0.87 | ~ (big_f @ X1 @ X2 @ X0)
% 0.52/0.87 | (big_f @ (sk__1 @ X2 @ X1 @ X0) @ X1 @ X0))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl47, zip_derived_cl27])).
% 0.52/0.87 thf(zip_derived_cl62, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X1 @ X2 @ (sk__1 @ X0 @ X1 @ X2))
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | ~ (big_f @ X0 @ X2 @ X1))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl30, zip_derived_cl41])).
% 0.52/0.87 thf(zip_derived_cl80, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ (sk__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | (big_f @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl28, zip_derived_cl48])).
% 0.52/0.87 thf(zip_derived_cl11, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (zip_tseitin_3 @ X0 @ X1 @ X2) | (big_f @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.52/0.87 thf(zip_derived_cl24, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X2 @ (sk__1 @ X0 @ X1 @ X2) @ X1)
% 0.52/0.87 | ~ (zip_tseitin_3 @ X0 @ X1 @ X2))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl67, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ X2 @ X1) | (big_f @ X1 @ (sk__1 @ X2 @ X0 @ X1) @ X0))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl11, zip_derived_cl24])).
% 0.52/0.87 thf(zip_derived_cl23, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (zip_tseitin_3 @ X0 @ X1 @ X2)
% 0.52/0.87 | ~ (big_f @ X2 @ (sk__1 @ X0 @ X1 @ X2) @ X1))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl9, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X0 @ X1 @ X2)
% 0.52/0.87 | (zip_tseitin_2 @ X1 @ X0 @ X2)
% 0.52/0.87 | ~ (zip_tseitin_3 @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.52/0.87 thf(zip_derived_cl6, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ X1 @ X2) | ~ (zip_tseitin_2 @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.52/0.87 thf(zip_derived_cl44, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (zip_tseitin_3 @ X0 @ X1 @ X2)
% 0.52/0.87 | ~ (big_f @ X1 @ X0 @ X2)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl9, zip_derived_cl6])).
% 0.52/0.87 thf(zip_derived_cl71, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X2 @ (sk__1 @ X0 @ X1 @ X2) @ X1)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | ~ (big_f @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl23, zip_derived_cl44])).
% 0.52/0.87 thf(zip_derived_cl28, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (zip_tseitin_5 @ X0 @ X1 @ X2)
% 0.52/0.87 | ~ (big_f @ (sk__1 @ X0 @ X1 @ X2) @ X1 @ X2))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl14, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (zip_tseitin_4 @ X0 @ X1 @ X2) | (big_f @ X0 @ X2 @ X1))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.52/0.87 thf(zip_derived_cl15, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (zip_tseitin_4 @ X0 @ X1 @ X2)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | ~ (zip_tseitin_5 @ X0 @ X1 @ X2))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.52/0.87 thf(zip_derived_cl49, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X2 @ X0 @ X1)
% 0.52/0.87 | ~ (zip_tseitin_5 @ X2 @ X1 @ X0)
% 0.52/0.87 | (big_f @ X0 @ X1 @ X2))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl14, zip_derived_cl15])).
% 0.52/0.87 thf(zip_derived_cl81, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ (sk__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | (big_f @ X0 @ X2 @ X1))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl28, zip_derived_cl49])).
% 0.52/0.87 thf(zip_derived_cl5, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (zip_tseitin_1 @ X0 @ X1 @ X2) | (big_f @ X0 @ X2 @ X1))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.52/0.87 thf(zip_derived_cl29, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X1 @ X2 @ (sk__1 @ X0 @ X1 @ X2))
% 0.52/0.87 | ~ (zip_tseitin_1 @ X0 @ X1 @ X2))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl58, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X2 @ X0 @ X1) | (big_f @ X1 @ X0 @ (sk__1 @ X2 @ X1 @ X0)))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl5, zip_derived_cl29])).
% 0.52/0.87 thf(zip_derived_cl58, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X2 @ X0 @ X1) | (big_f @ X1 @ X0 @ (sk__1 @ X2 @ X1 @ X0)))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl5, zip_derived_cl29])).
% 0.52/0.87 thf(zip_derived_cl22, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ X1 @ X2))
% 0.52/0.87 | (big_f @ X1 @ X0 @ X2)
% 0.52/0.87 | (big_f @ X0 @ X2 @ X1)
% 0.52/0.87 | ~ (big_f @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl90, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ sk_ @ sk_)
% 0.52/0.87 | ~ (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ X0 @ sk_ @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ X0 @ sk_))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl22])).
% 0.52/0.87 thf(zip_derived_cl91, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ X0 @ sk_)
% 0.52/0.87 | ~ (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ X0 @ sk_ @ sk_))),
% 0.52/0.87 inference('simplify', [status(thm)], [zip_derived_cl90])).
% 0.52/0.87 thf(zip_derived_cl93, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ sk_ @ sk_)
% 0.52/0.87 | (big_f @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_ @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl58, zip_derived_cl91])).
% 0.52/0.87 thf(zip_derived_cl128, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ sk_ @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_)
% 0.52/0.87 | (big_f @ X0 @ sk_ @ sk_))),
% 0.52/0.87 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl93])).
% 0.52/0.87 thf(zip_derived_cl129, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ X0 @ sk_ @ sk_))),
% 0.52/0.87 inference('simplify', [status(thm)], [zip_derived_cl128])).
% 0.52/0.87 thf(zip_derived_cl133, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 (~ (big_f @ sk_ @ X0 @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ X0 @ sk_ @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0))),
% 0.52/0.87 inference('sup+', [status(thm)], [zip_derived_cl71, zip_derived_cl129])).
% 0.52/0.87 thf(zip_derived_cl135, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ sk_ @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | ~ (big_f @ sk_ @ X0 @ sk_))),
% 0.52/0.87 inference('simplify', [status(thm)], [zip_derived_cl133])).
% 0.52/0.87 thf(zip_derived_cl139, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ X0 @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_))
% 0.52/0.87 | (big_f @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_ @ sk_))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl135])).
% 0.52/0.87 thf(zip_derived_cl148, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ X0 @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_))
% 0.52/0.87 | (big_f @ sk_ @ X0 @ sk_))),
% 0.52/0.87 inference('sup+', [status(thm)], [zip_derived_cl80, zip_derived_cl139])).
% 0.52/0.87 thf(zip_derived_cl150, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_))
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ sk_ @ X0 @ sk_))),
% 0.52/0.87 inference('simplify', [status(thm)], [zip_derived_cl148])).
% 0.52/0.87 thf(zip_derived_cl156, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 (~ (big_f @ X0 @ sk_ @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ sk_ @ X0 @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0))),
% 0.52/0.87 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl150])).
% 0.52/0.87 thf(zip_derived_cl159, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ X0 @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | ~ (big_f @ X0 @ sk_ @ sk_))),
% 0.52/0.87 inference('simplify', [status(thm)], [zip_derived_cl156])).
% 0.52/0.87 thf(zip_derived_cl166, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 (~ (big_f @ sk_ @ X0 @ sk_)
% 0.52/0.87 | ~ (big_f @ X0 @ sk_ @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_))
% 0.52/0.87 | (big_f @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl159])).
% 0.52/0.87 thf(zip_derived_cl67, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ X2 @ X1) | (big_f @ X1 @ (sk__1 @ X2 @ X0 @ X1) @ X0))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl11, zip_derived_cl24])).
% 0.52/0.87 thf(zip_derived_cl196, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_))
% 0.52/0.87 | ~ (big_f @ X0 @ sk_ @ sk_))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl166, zip_derived_cl67])).
% 0.52/0.87 thf(zip_derived_cl58, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X2 @ X0 @ X1) | (big_f @ X1 @ X0 @ (sk__1 @ X2 @ X1 @ X0)))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl5, zip_derived_cl29])).
% 0.52/0.87 thf(zip_derived_cl197, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_))
% 0.52/0.87 | (big_f @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl196, zip_derived_cl58])).
% 0.52/0.87 thf(zip_derived_cl71, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X2 @ (sk__1 @ X0 @ X1 @ X2) @ X1)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | ~ (big_f @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl23, zip_derived_cl44])).
% 0.52/0.87 thf(zip_derived_cl198, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_))
% 0.52/0.87 | ~ (big_f @ sk_ @ X0 @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl197, zip_derived_cl71])).
% 0.52/0.87 thf(zip_derived_cl150, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_))
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ sk_ @ X0 @ sk_))),
% 0.52/0.87 inference('simplify', [status(thm)], [zip_derived_cl148])).
% 0.52/0.87 thf(zip_derived_cl204, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_)))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl150])).
% 0.52/0.87 thf(zip_derived_cl209, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 (~ (big_f @ X0 @ sk_ @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ X0))),
% 0.52/0.87 inference('sup+', [status(thm)], [zip_derived_cl62, zip_derived_cl204])).
% 0.52/0.87 thf(zip_derived_cl212, plain,
% 0.52/0.87 (![X0 : $i]: ( (big_f @ sk_ @ sk_ @ X0) | ~ (big_f @ X0 @ sk_ @ sk_))),
% 0.52/0.87 inference('simplify', [status(thm)], [zip_derived_cl209])).
% 0.52/0.87 thf(zip_derived_cl214, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 (~ (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_)))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl76, zip_derived_cl212])).
% 0.52/0.87 thf(zip_derived_cl204, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 ( (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_)))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl198, zip_derived_cl150])).
% 0.52/0.87 thf(zip_derived_cl222, plain,
% 0.52/0.87 (![X0 : $i]: (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl214, zip_derived_cl204])).
% 0.52/0.87 thf(zip_derived_cl222, plain,
% 0.52/0.87 (![X0 : $i]: (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl214, zip_derived_cl204])).
% 0.52/0.87 thf(zip_derived_cl22, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ X1 @ X2))
% 0.52/0.87 | (big_f @ X1 @ X0 @ X2)
% 0.52/0.87 | (big_f @ X0 @ X2 @ X1)
% 0.52/0.87 | ~ (big_f @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl226, plain,
% 0.52/0.87 (![X0 : $i]:
% 0.52/0.87 (~ (big_f @ sk_ @ sk_ @ X0)
% 0.52/0.87 | (big_f @ X0 @ sk_ @ sk_)
% 0.52/0.87 | (big_f @ sk_ @ X0 @ sk_))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl22])).
% 0.52/0.87 thf(zip_derived_cl222, plain,
% 0.52/0.87 (![X0 : $i]: (big_f @ sk_ @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl214, zip_derived_cl204])).
% 0.52/0.87 thf(zip_derived_cl30, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (zip_tseitin_1 @ X0 @ X1 @ X2)
% 0.52/0.87 | ~ (big_f @ X1 @ X2 @ (sk__1 @ X0 @ X1 @ X2)))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl3, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X0 @ X1 @ X2)
% 0.52/0.87 | (zip_tseitin_0 @ X0 @ X2 @ X1)
% 0.52/0.87 | ~ (zip_tseitin_1 @ X0 @ X2 @ X1))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.52/0.87 thf(zip_derived_cl1, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ X1 @ X2) | ~ (zip_tseitin_0 @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.52/0.87 thf(zip_derived_cl42, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (zip_tseitin_1 @ X1 @ X2 @ X0)
% 0.52/0.87 | ~ (big_f @ X1 @ X0 @ X2)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl3, zip_derived_cl1])).
% 0.52/0.87 thf(zip_derived_cl63, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X2 @ X0 @ (sk__1 @ X1 @ X2 @ X0))
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | ~ (big_f @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl30, zip_derived_cl42])).
% 0.52/0.87 thf(zip_derived_cl224, plain,
% 0.52/0.87 (![X0 : $i]: (~ (big_f @ X0 @ sk_ @ sk_) | (big_f @ sk_ @ X0 @ sk_))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl63])).
% 0.52/0.87 thf(zip_derived_cl237, plain,
% 0.52/0.87 (![X0 : $i]: ( (big_f @ sk_ @ X0 @ sk_) | ~ (big_f @ sk_ @ sk_ @ X0))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl226, zip_derived_cl224])).
% 0.52/0.87 thf(zip_derived_cl240, plain,
% 0.52/0.87 (![X0 : $i]: (big_f @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_)),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl237])).
% 0.52/0.87 thf(zip_derived_cl240, plain,
% 0.52/0.87 (![X0 : $i]: (big_f @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_)),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl237])).
% 0.52/0.87 thf(zip_derived_cl23, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (zip_tseitin_3 @ X0 @ X1 @ X2)
% 0.52/0.87 | ~ (big_f @ X2 @ (sk__1 @ X0 @ X1 @ X2) @ X1))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl9, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X0 @ X1 @ X2)
% 0.52/0.87 | (zip_tseitin_2 @ X1 @ X0 @ X2)
% 0.52/0.87 | ~ (zip_tseitin_3 @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.52/0.87 thf(zip_derived_cl7, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ X1 @ X2) | ~ (zip_tseitin_2 @ X0 @ X2 @ X1))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.52/0.87 thf(zip_derived_cl45, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (zip_tseitin_3 @ X2 @ X0 @ X1)
% 0.52/0.87 | ~ (big_f @ X0 @ X2 @ X1)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl9, zip_derived_cl7])).
% 0.52/0.87 thf(zip_derived_cl72, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X1 @ (sk__1 @ X2 @ X0 @ X1) @ X0)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | ~ (big_f @ X0 @ X2 @ X1))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl23, zip_derived_cl45])).
% 0.52/0.87 thf(zip_derived_cl243, plain,
% 0.52/0.87 (![X0 : $i]: (~ (big_f @ sk_ @ X0 @ sk_) | (big_f @ X0 @ sk_ @ sk_))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl72])).
% 0.52/0.87 thf(zip_derived_cl254, plain,
% 0.52/0.87 (![X0 : $i]: (big_f @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_ @ sk_)),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl243])).
% 0.52/0.87 thf(zip_derived_cl80, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ (sk__1 @ X0 @ X1 @ X2) @ X1 @ X2)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | (big_f @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl28, zip_derived_cl48])).
% 0.52/0.87 thf(zip_derived_cl259, plain,
% 0.52/0.87 (![X0 : $i]: ( (big_f @ sk_ @ X0 @ sk_) | (big_f @ sk_ @ sk_ @ X0))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl254, zip_derived_cl80])).
% 0.52/0.87 thf(zip_derived_cl240, plain,
% 0.52/0.87 (![X0 : $i]: (big_f @ sk_ @ (sk__1 @ X0 @ sk_ @ sk_) @ sk_)),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl222, zip_derived_cl237])).
% 0.52/0.87 thf(zip_derived_cl71, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X2 @ (sk__1 @ X0 @ X1 @ X2) @ X1)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | ~ (big_f @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl23, zip_derived_cl44])).
% 0.52/0.87 thf(zip_derived_cl242, plain,
% 0.52/0.87 (![X0 : $i]: (~ (big_f @ sk_ @ X0 @ sk_) | (big_f @ sk_ @ sk_ @ X0))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl240, zip_derived_cl71])).
% 0.52/0.87 thf(zip_derived_cl264, plain, (![X0 : $i]: (big_f @ sk_ @ sk_ @ X0)),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl259, zip_derived_cl242])).
% 0.52/0.87 thf(zip_derived_cl265, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X1 @ X0 @ X2)
% 0.52/0.87 | (big_f @ X0 @ X2 @ X1)
% 0.52/0.87 | ~ (big_f @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl264])).
% 0.52/0.87 thf(zip_derived_cl301, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X1 @ X2 @ X0)
% 0.52/0.87 | ~ (big_f @ X2 @ X0 @ X1)
% 0.52/0.87 | (big_f @ X0 @ (sk__1 @ X2 @ X1 @ X0) @ X1)
% 0.52/0.87 | (big_f @ X1 @ X0 @ (sk__1 @ X2 @ X1 @ X0)))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl82, zip_derived_cl265])).
% 0.52/0.87 thf(zip_derived_cl67, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ X2 @ X1) | (big_f @ X1 @ (sk__1 @ X2 @ X0 @ X1) @ X0))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl11, zip_derived_cl24])).
% 0.52/0.87 thf(zip_derived_cl333, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X1 @ X0 @ (sk__1 @ X2 @ X1 @ X0))
% 0.52/0.87 | (big_f @ X0 @ (sk__1 @ X2 @ X1 @ X0) @ X1)
% 0.52/0.87 | ~ (big_f @ X2 @ X0 @ X1))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl301, zip_derived_cl67])).
% 0.52/0.87 thf(zip_derived_cl58, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X2 @ X0 @ X1) | (big_f @ X1 @ X0 @ (sk__1 @ X2 @ X1 @ X0)))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl5, zip_derived_cl29])).
% 0.52/0.87 thf(zip_derived_cl334, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ (sk__1 @ X2 @ X1 @ X0) @ X1)
% 0.52/0.87 | (big_f @ X1 @ X0 @ (sk__1 @ X2 @ X1 @ X0)))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl333, zip_derived_cl58])).
% 0.52/0.87 thf(zip_derived_cl334, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ (sk__1 @ X2 @ X1 @ X0) @ X1)
% 0.52/0.87 | (big_f @ X1 @ X0 @ (sk__1 @ X2 @ X1 @ X0)))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl333, zip_derived_cl58])).
% 0.52/0.87 thf(zip_derived_cl71, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X2 @ (sk__1 @ X0 @ X1 @ X2) @ X1)
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | ~ (big_f @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl23, zip_derived_cl44])).
% 0.52/0.87 thf(zip_derived_cl336, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ X1 @ (sk__1 @ X2 @ X0 @ X1))
% 0.52/0.87 | ~ (big_f @ X0 @ X2 @ X1)
% 0.52/0.87 | (big_f @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl334, zip_derived_cl71])).
% 0.52/0.87 thf(zip_derived_cl2, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (zip_tseitin_0 @ X0 @ X1 @ X2)
% 0.52/0.87 | ~ (big_f @ X1 @ X0 @ X2)
% 0.52/0.87 | ~ (big_f @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_13])).
% 0.52/0.87 thf(zip_derived_cl4, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (zip_tseitin_1 @ X0 @ X1 @ X2) | ~ (zip_tseitin_0 @ X0 @ X1 @ X2))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_11])).
% 0.52/0.87 thf(zip_derived_cl43, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X0 @ X1 @ X2)
% 0.52/0.87 | ~ (big_f @ X1 @ X2 @ X0)
% 0.52/0.87 | (zip_tseitin_1 @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl2, zip_derived_cl4])).
% 0.52/0.87 thf(zip_derived_cl29, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X1 @ X2 @ (sk__1 @ X0 @ X1 @ X2))
% 0.52/0.87 | ~ (zip_tseitin_1 @ X0 @ X1 @ X2))),
% 0.52/0.87 inference('cnf', [status(esa)], [zf_stmt_15])).
% 0.52/0.87 thf(zip_derived_cl64, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X1 @ X2 @ X0)
% 0.52/0.87 | ~ (big_f @ X0 @ X1 @ X2)
% 0.52/0.87 | (big_f @ X1 @ X0 @ (sk__1 @ X2 @ X1 @ X0)))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl43, zip_derived_cl29])).
% 0.52/0.87 thf(zip_derived_cl353, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X0 @ X2 @ X1)
% 0.52/0.87 | (big_f @ X0 @ X1 @ (sk__1 @ X2 @ X0 @ X1)))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl336, zip_derived_cl64])).
% 0.52/0.87 thf(zip_derived_cl62, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X1 @ X2 @ (sk__1 @ X0 @ X1 @ X2))
% 0.52/0.87 | (big_f @ X2 @ X1 @ X0)
% 0.52/0.87 | ~ (big_f @ X0 @ X2 @ X1))),
% 0.52/0.87 inference('dp-resolution', [status(thm)],
% 0.52/0.87 [zip_derived_cl30, zip_derived_cl41])).
% 0.52/0.87 thf(zip_derived_cl355, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (~ (big_f @ X1 @ X2 @ X0)
% 0.52/0.87 | ~ (big_f @ X2 @ X0 @ X1)
% 0.52/0.87 | (big_f @ X0 @ X1 @ X2))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl353, zip_derived_cl62])).
% 0.52/0.87 thf(zip_derived_cl265, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X1 @ X0 @ X2)
% 0.52/0.87 | (big_f @ X0 @ X2 @ X1)
% 0.52/0.87 | ~ (big_f @ X2 @ X1 @ X0))),
% 0.52/0.87 inference('demod', [status(thm)], [zip_derived_cl22, zip_derived_cl264])).
% 0.52/0.87 thf(zip_derived_cl359, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ X1 @ X2) | ~ (big_f @ X2 @ X0 @ X1))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl355, zip_derived_cl265])).
% 0.52/0.87 thf(zip_derived_cl361, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ (sk__1 @ X2 @ X1 @ X0) @ X1)
% 0.52/0.87 | (big_f @ X0 @ (sk__1 @ X2 @ X1 @ X0) @ X1))),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl334, zip_derived_cl359])).
% 0.52/0.87 thf(zip_derived_cl376, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (big_f @ X0 @ (sk__1 @ X2 @ X1 @ X0) @ X1)),
% 0.52/0.87 inference('simplify', [status(thm)], [zip_derived_cl361])).
% 0.52/0.87 thf(zip_derived_cl359, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ X1 @ X2) | ~ (big_f @ X2 @ X0 @ X1))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl355, zip_derived_cl265])).
% 0.52/0.87 thf(zip_derived_cl379, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 (big_f @ (sk__1 @ X2 @ X0 @ X1) @ X0 @ X1)),
% 0.52/0.87 inference('sup-', [status(thm)], [zip_derived_cl376, zip_derived_cl359])).
% 0.52/0.87 thf(zip_derived_cl395, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X2 @ X1 @ X0) | (big_f @ X1 @ X0 @ X2))),
% 0.52/0.87 inference('demod', [status(thm)], [zip_derived_cl80, zip_derived_cl379])).
% 0.52/0.87 thf(zip_derived_cl359, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.52/0.87 ( (big_f @ X0 @ X1 @ X2) | ~ (big_f @ X2 @ X0 @ X1))),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl355, zip_derived_cl265])).
% 0.52/0.87 thf(zip_derived_cl399, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]: (big_f @ X1 @ X0 @ X2)),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl359])).
% 0.52/0.87 thf(zip_derived_cl399, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]: (big_f @ X1 @ X0 @ X2)),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl359])).
% 0.52/0.87 thf(zip_derived_cl399, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]: (big_f @ X1 @ X0 @ X2)),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl359])).
% 0.52/0.87 thf(zip_derived_cl399, plain,
% 0.52/0.87 (![X0 : $i, X1 : $i, X2 : $i]: (big_f @ X1 @ X0 @ X2)),
% 0.52/0.87 inference('clc', [status(thm)], [zip_derived_cl395, zip_derived_cl359])).
% 0.52/0.87 thf(zip_derived_cl400, plain, ($false),
% 0.52/0.87 inference('demod', [status(thm)],
% 0.52/0.87 [zip_derived_cl53, zip_derived_cl399, zip_derived_cl399,
% 0.52/0.87 zip_derived_cl399, zip_derived_cl399])).
% 0.52/0.87
% 0.52/0.87 % SZS output end Refutation
% 0.52/0.87
% 0.52/0.87
% 0.52/0.87 % Terminating...
% 1.90/0.95 % Runner terminated.
% 1.90/0.97 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------