%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYN551+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zscjhMSG2Z true
% Computer : n015.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 05:05:17 PM UTC 2025
% Result : Theorem 0.15s 0.58s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYN551+1 : TPTP v9.2.0. Bugfixed v3.1.0.
% 0.00/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.zscjhMSG2Z true
% 0.10/0.30 % Computer : n015.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Wed Oct 1 13:46:38 EDT 2025
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.15/0.50 % Total configuration time : 435
% 0.15/0.50 % Estimated wc time : 1092
% 0.15/0.50 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.54 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.54 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.54 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.54 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.57 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.57 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.58 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.15/0.58 % Solved by fo/fo6_bce.sh.
% 0.15/0.58 % BCE start: 16
% 0.15/0.58 % BCE eliminated: 0
% 0.15/0.58 % PE start: 16
% 0.15/0.58 logic: eq
% 0.15/0.58 % PE eliminated: 6
% 0.15/0.58 % done 52 iterations in 0.024s
% 0.15/0.58 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.15/0.58 % SZS output start Refutation
% 0.15/0.58 thf(f_type, type, f: $i > $i).
% 0.15/0.58 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $o).
% 0.15/0.58 thf(zip_tseitin_3_type, type, zip_tseitin_3: $o).
% 0.15/0.58 thf(zip_tseitin_1_type, type, zip_tseitin_1: $o).
% 0.15/0.58 thf(g_type, type, g: $i > $i).
% 0.15/0.58 thf(sk__2_type, type, sk__2: $i).
% 0.15/0.58 thf(sk__1_type, type, sk__1: $i).
% 0.15/0.58 thf(sk__5_type, type, sk__5: $i).
% 0.15/0.58 thf(sk__3_type, type, sk__3: $i).
% 0.15/0.58 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $o).
% 0.15/0.58 thf(sk__type, type, sk_: $i).
% 0.15/0.58 thf(sk__4_type, type, sk__4: $i).
% 0.15/0.58 thf(prove_this_cute_thing, conjecture,
% 0.15/0.58 (( ( ![Y:$i,Z:$i]:
% 0.15/0.58 ( ( ( ( Z ) = ( f @ ( g @ Z ) ) ) & ( ( Y ) = ( f @ ( g @ Y ) ) ) ) =>
% 0.15/0.58 ( ( Y ) = ( Z ) ) ) ) &
% 0.15/0.58 ( ?[X:$i]: ( ( X ) = ( f @ ( g @ X ) ) ) ) ) <=>
% 0.15/0.58 ( ( ![Y:$i,Z:$i]:
% 0.15/0.58 ( ( ( ( Z ) = ( g @ ( f @ Z ) ) ) & ( ( Y ) = ( g @ ( f @ Y ) ) ) ) =>
% 0.15/0.58 ( ( Y ) = ( Z ) ) ) ) &
% 0.15/0.58 ( ?[X:$i]: ( ( X ) = ( g @ ( f @ X ) ) ) ) ))).
% 0.15/0.58 thf(zf_stmt_0, axiom,
% 0.15/0.58 (( zip_tseitin_3 ) <=>
% 0.15/0.58 ( ( ?[X:$i]: ( ( X ) = ( g @ ( f @ X ) ) ) ) &
% 0.15/0.58 ( ![Y:$i,Z:$i]: ( zip_tseitin_2 @ Z @ Y ) ) ))).
% 0.15/0.58 thf(zip_derived_cl11, plain,
% 0.15/0.58 ((((sk__5) = (g @ (f @ sk__5))) | ~ (zip_tseitin_3))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.15/0.58 thf(zf_stmt_1, type, zip_tseitin_3 : $o).
% 0.15/0.58 thf(zf_stmt_2, type, zip_tseitin_2 : $i > $i > $o).
% 0.15/0.58 thf(zf_stmt_3, axiom,
% 0.15/0.58 (![Z:$i,Y:$i]:
% 0.15/0.58 ( ( zip_tseitin_2 @ Z @ Y ) <=>
% 0.15/0.58 ( ( ( ( Y ) = ( g @ ( f @ Y ) ) ) & ( ( Z ) = ( g @ ( f @ Z ) ) ) ) =>
% 0.15/0.58 ( ( Y ) = ( Z ) ) ) ))).thf(zf_stmt_4, type, zip_tseitin_1 : $o).
% 0.15/0.58 thf(zf_stmt_5, axiom,
% 0.15/0.58 (( zip_tseitin_1 ) <=>
% 0.15/0.58 ( ( ?[X:$i]: ( ( X ) = ( f @ ( g @ X ) ) ) ) &
% 0.15/0.58 ( ![Y:$i,Z:$i]: ( zip_tseitin_0 @ Z @ Y ) ) ))).
% 0.15/0.58 thf(zf_stmt_6, type, zip_tseitin_0 : $i > $i > $o).
% 0.15/0.58 thf(zf_stmt_7, axiom,
% 0.15/0.58 (![Z:$i,Y:$i]:
% 0.15/0.58 ( ( zip_tseitin_0 @ Z @ Y ) <=>
% 0.15/0.58 ( ( ( ( Y ) = ( f @ ( g @ Y ) ) ) & ( ( Z ) = ( f @ ( g @ Z ) ) ) ) =>
% 0.15/0.58 ( ( Y ) = ( Z ) ) ) ))).
% 0.15/0.58 thf(zf_stmt_8, conjecture, (( zip_tseitin_1 ) <=> ( zip_tseitin_3 ))).
% 0.15/0.58 thf(zf_stmt_9, negated_conjecture,
% 0.15/0.58 (~( ( zip_tseitin_1 ) <=> ( zip_tseitin_3 ) )),
% 0.15/0.58 inference('cnf.neg', [status(esa)], [zf_stmt_8])).
% 0.15/0.58 thf(zip_derived_cl14, plain, (( (zip_tseitin_3) | (zip_tseitin_1))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.15/0.58 thf(zip_derived_cl4, plain,
% 0.15/0.58 ((((sk__2) = (f @ (g @ sk__2))) | ~ (zip_tseitin_1))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.15/0.58 thf(zip_derived_cl93, plain,
% 0.15/0.58 (( (zip_tseitin_3) | ((sk__2) = (f @ (g @ sk__2))))),
% 0.15/0.58 inference('dp-resolution', [status(thm)],
% 0.15/0.58 [zip_derived_cl14, zip_derived_cl4])).
% 0.15/0.58 thf(zip_derived_cl10, plain,
% 0.15/0.58 (![X0 : $i, X1 : $i]:
% 0.15/0.58 ( (zip_tseitin_2 @ X0 @ X1) | ((X1) = (g @ (f @ X1))))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.15/0.58 thf(zip_derived_cl13, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 ( (zip_tseitin_3)
% 0.15/0.58 | ~ (zip_tseitin_2 @ sk__4 @ sk__3)
% 0.15/0.58 | ((X0) != (g @ (f @ X0))))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.15/0.58 thf(zip_derived_cl102, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 (((sk__3) = (g @ (f @ sk__3)))
% 0.15/0.58 | ((X0) != (g @ (f @ X0)))
% 0.15/0.58 | (zip_tseitin_3))),
% 0.15/0.58 inference('dp-resolution', [status(thm)],
% 0.15/0.58 [zip_derived_cl10, zip_derived_cl13])).
% 0.15/0.58 thf(zip_derived_cl134, plain,
% 0.15/0.58 (( (zip_tseitin_3)
% 0.15/0.58 | ((sk__3) = (g @ (f @ sk__3)))
% 0.15/0.58 | ((g @ sk__2) != (g @ sk__2))
% 0.15/0.58 | (zip_tseitin_3))),
% 0.15/0.58 inference('s_sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl102])).
% 0.15/0.58 thf(zip_derived_cl135, plain,
% 0.15/0.58 ((((sk__3) = (g @ (f @ sk__3))) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl134])).
% 0.15/0.58 thf(zip_derived_cl135, plain,
% 0.15/0.58 ((((sk__3) = (g @ (f @ sk__3))) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl134])).
% 0.15/0.58 thf(zip_derived_cl93, plain,
% 0.15/0.58 (( (zip_tseitin_3) | ((sk__2) = (f @ (g @ sk__2))))),
% 0.15/0.58 inference('dp-resolution', [status(thm)],
% 0.15/0.58 [zip_derived_cl14, zip_derived_cl4])).
% 0.15/0.58 thf(zip_derived_cl14, plain, (( (zip_tseitin_3) | (zip_tseitin_1))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.15/0.58 thf(zip_derived_cl5, plain,
% 0.15/0.58 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ~ (zip_tseitin_1))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.15/0.58 thf(zip_derived_cl94, plain,
% 0.15/0.58 (![X0 : $i, X1 : $i]: ( (zip_tseitin_3) | (zip_tseitin_0 @ X1 @ X0))),
% 0.15/0.58 inference('dp-resolution', [status(thm)],
% 0.15/0.58 [zip_derived_cl14, zip_derived_cl5])).
% 0.15/0.58 thf(zip_derived_cl0, plain,
% 0.15/0.58 (![X0 : $i, X1 : $i]:
% 0.15/0.58 (((X0) != (f @ (g @ X0)))
% 0.15/0.58 | ((X1) != (f @ (g @ X1)))
% 0.15/0.58 | ((X0) = (X1))
% 0.15/0.58 | ~ (zip_tseitin_0 @ X1 @ X0))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.15/0.58 thf(zip_derived_cl95, plain,
% 0.15/0.58 (![X0 : $i, X1 : $i]:
% 0.15/0.58 ( (zip_tseitin_3)
% 0.15/0.58 | ((X0) = (X1))
% 0.15/0.58 | ((X1) != (f @ (g @ X1)))
% 0.15/0.58 | ((X0) != (f @ (g @ X0))))),
% 0.15/0.58 inference('dp-resolution', [status(thm)],
% 0.15/0.58 [zip_derived_cl94, zip_derived_cl0])).
% 0.15/0.58 thf(zip_derived_cl130, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 ( (zip_tseitin_3)
% 0.15/0.58 | (zip_tseitin_3)
% 0.15/0.58 | ((X0) = (sk__2))
% 0.15/0.58 | ((sk__2) != (sk__2))
% 0.15/0.58 | ((X0) != (f @ (g @ X0))))),
% 0.15/0.58 inference('s_sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl95])).
% 0.15/0.58 thf(zip_derived_cl131, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 (((X0) != (f @ (g @ X0))) | ((X0) = (sk__2)) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl130])).
% 0.15/0.58 thf(zip_derived_cl142, plain,
% 0.15/0.58 (( (zip_tseitin_3)
% 0.15/0.58 | ((f @ sk__3) != (f @ sk__3))
% 0.15/0.58 | ((f @ sk__3) = (sk__2))
% 0.15/0.58 | (zip_tseitin_3))),
% 0.15/0.58 inference('s_sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl131])).
% 0.15/0.58 thf(zip_derived_cl144, plain, ((((f @ sk__3) = (sk__2)) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl142])).
% 0.15/0.58 thf(zip_derived_cl135, plain,
% 0.15/0.58 ((((sk__3) = (g @ (f @ sk__3))) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl134])).
% 0.15/0.58 thf(zip_derived_cl148, plain,
% 0.15/0.58 (( (zip_tseitin_3) | ((sk__3) = (g @ sk__2)) | (zip_tseitin_3))),
% 0.15/0.58 inference('s_sup+', [status(thm)], [zip_derived_cl144, zip_derived_cl135])).
% 0.15/0.58 thf(zip_derived_cl149, plain, ((((sk__3) = (g @ sk__2)) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl148])).
% 0.15/0.58 thf(zip_derived_cl93, plain,
% 0.15/0.58 (( (zip_tseitin_3) | ((sk__2) = (f @ (g @ sk__2))))),
% 0.15/0.58 inference('dp-resolution', [status(thm)],
% 0.15/0.58 [zip_derived_cl14, zip_derived_cl4])).
% 0.15/0.58 thf(zip_derived_cl9, plain,
% 0.15/0.58 (![X0 : $i, X1 : $i]:
% 0.15/0.58 ( (zip_tseitin_2 @ X0 @ X1) | ((X0) = (g @ (f @ X0))))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.15/0.58 thf(zip_derived_cl13, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 ( (zip_tseitin_3)
% 0.15/0.58 | ~ (zip_tseitin_2 @ sk__4 @ sk__3)
% 0.15/0.58 | ((X0) != (g @ (f @ X0))))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.15/0.58 thf(zip_derived_cl101, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 (((sk__4) = (g @ (f @ sk__4)))
% 0.15/0.58 | ((X0) != (g @ (f @ X0)))
% 0.15/0.58 | (zip_tseitin_3))),
% 0.15/0.58 inference('dp-resolution', [status(thm)],
% 0.15/0.58 [zip_derived_cl9, zip_derived_cl13])).
% 0.15/0.58 thf(zip_derived_cl128, plain,
% 0.15/0.58 (( (zip_tseitin_3)
% 0.15/0.58 | ((sk__4) = (g @ (f @ sk__4)))
% 0.15/0.58 | ((g @ sk__2) != (g @ sk__2))
% 0.15/0.58 | (zip_tseitin_3))),
% 0.15/0.58 inference('s_sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl101])).
% 0.15/0.58 thf(zip_derived_cl129, plain,
% 0.15/0.58 ((((sk__4) = (g @ (f @ sk__4))) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl128])).
% 0.15/0.58 thf(zip_derived_cl131, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 (((X0) != (f @ (g @ X0))) | ((X0) = (sk__2)) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl130])).
% 0.15/0.58 thf(zip_derived_cl136, plain,
% 0.15/0.58 (( (zip_tseitin_3)
% 0.15/0.58 | ((f @ sk__4) != (f @ sk__4))
% 0.15/0.58 | ((f @ sk__4) = (sk__2))
% 0.15/0.58 | (zip_tseitin_3))),
% 0.15/0.58 inference('s_sup-', [status(thm)], [zip_derived_cl129, zip_derived_cl131])).
% 0.15/0.58 thf(zip_derived_cl139, plain, ((((f @ sk__4) = (sk__2)) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl136])).
% 0.15/0.58 thf(zip_derived_cl129, plain,
% 0.15/0.58 ((((sk__4) = (g @ (f @ sk__4))) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl128])).
% 0.15/0.58 thf(zip_derived_cl146, plain,
% 0.15/0.58 (( (zip_tseitin_3) | ((sk__4) = (g @ sk__2)) | (zip_tseitin_3))),
% 0.15/0.58 inference('s_sup+', [status(thm)], [zip_derived_cl139, zip_derived_cl129])).
% 0.15/0.58 thf(zip_derived_cl147, plain, ((((sk__4) = (g @ sk__2)) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl146])).
% 0.15/0.58 thf(zip_derived_cl159, plain,
% 0.15/0.58 (( (zip_tseitin_3) | ((sk__4) = (sk__3)) | (zip_tseitin_3))),
% 0.15/0.58 inference('s_sup+', [status(thm)], [zip_derived_cl149, zip_derived_cl147])).
% 0.15/0.58 thf(zip_derived_cl163, plain, ((((sk__4) = (sk__3)) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl159])).
% 0.15/0.58 thf(zip_derived_cl8, plain,
% 0.15/0.58 (![X0 : $i, X1 : $i]: ( (zip_tseitin_2 @ X0 @ X1) | ((X1) != (X0)))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.15/0.58 thf(zip_derived_cl13, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 ( (zip_tseitin_3)
% 0.15/0.58 | ~ (zip_tseitin_2 @ sk__4 @ sk__3)
% 0.15/0.58 | ((X0) != (g @ (f @ X0))))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.15/0.58 thf(zip_derived_cl100, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 (((sk__3) != (sk__4)) | ((X0) != (g @ (f @ X0))) | (zip_tseitin_3))),
% 0.15/0.58 inference('dp-resolution', [status(thm)],
% 0.15/0.58 [zip_derived_cl8, zip_derived_cl13])).
% 0.15/0.58 thf(zip_derived_cl184, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 ( (zip_tseitin_3)
% 0.15/0.58 | ((sk__3) != (sk__3))
% 0.15/0.58 | ((X0) != (g @ (f @ X0)))
% 0.15/0.58 | (zip_tseitin_3))),
% 0.15/0.58 inference('s_sup-', [status(thm)], [zip_derived_cl163, zip_derived_cl100])).
% 0.15/0.58 thf(zip_derived_cl187, plain,
% 0.15/0.58 (![X0 : $i]: (((X0) != (g @ (f @ X0))) | (zip_tseitin_3))),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl184])).
% 0.15/0.58 thf(zip_derived_cl190, plain,
% 0.15/0.58 (( (zip_tseitin_3) | ((sk__3) != (sk__3)) | (zip_tseitin_3))),
% 0.15/0.58 inference('s_sup-', [status(thm)], [zip_derived_cl135, zip_derived_cl187])).
% 0.15/0.58 thf(zip_derived_cl195, plain, ( (zip_tseitin_3)),
% 0.15/0.58 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 0.15/0.58 thf(zip_derived_cl200, plain, (((sk__5) = (g @ (f @ sk__5)))),
% 0.15/0.58 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl195])).
% 0.15/0.58 thf(zip_derived_cl2, plain,
% 0.15/0.58 (![X0 : $i, X1 : $i]:
% 0.15/0.58 ( (zip_tseitin_0 @ X0 @ X1) | ((X0) = (f @ (g @ X0))))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.15/0.58 thf(zip_derived_cl6, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 ( (zip_tseitin_1)
% 0.15/0.58 | ~ (zip_tseitin_0 @ sk__1 @ sk_)
% 0.15/0.58 | ((X0) != (f @ (g @ X0))))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_5])).
% 0.15/0.58 thf(zip_derived_cl15, plain, ((~ (zip_tseitin_3) | ~ (zip_tseitin_1))),
% 0.15/0.58 inference('cnf', [status(esa)], [zf_stmt_9])).
% 0.15/0.58 thf(zip_derived_cl92, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 (((X0) != (f @ (g @ X0)))
% 0.15/0.58 | ~ (zip_tseitin_0 @ sk__1 @ sk_)
% 0.15/0.58 | ~ (zip_tseitin_3))),
% 0.15/0.58 inference('dp-resolution', [status(thm)],
% 0.15/0.58 [zip_derived_cl6, zip_derived_cl15])).
% 0.15/0.58 thf(zip_derived_cl97, plain,
% 0.15/0.58 (![X0 : $i]:
% 0.15/0.58 (((sk__1) = (f @ (g @ sk__1)))
% 0.15/0.58 | ~ (zip_tseitin_3)
% 0.15/0.59 | ((X0) != (f @ (g @ X0))))),
% 0.15/0.59 inference('dp-resolution', [status(thm)],
% 0.15/0.59 [zip_derived_cl2, zip_derived_cl92])).
% 0.15/0.59 thf(zip_derived_cl195, plain, ( (zip_tseitin_3)),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 0.15/0.59 thf(zip_derived_cl202, plain,
% 0.15/0.59 (![X0 : $i]: (((sk__1) = (f @ (g @ sk__1))) | ((X0) != (f @ (g @ X0))))),
% 0.15/0.59 inference('demod', [status(thm)], [zip_derived_cl97, zip_derived_cl195])).
% 0.15/0.59 thf(zip_derived_cl208, plain,
% 0.15/0.59 ((((sk__1) = (f @ (g @ sk__1))) | ((f @ sk__5) != (f @ sk__5)))),
% 0.15/0.59 inference('s_sup-', [status(thm)], [zip_derived_cl200, zip_derived_cl202])).
% 0.15/0.59 thf(zip_derived_cl209, plain, (((sk__1) = (f @ (g @ sk__1)))),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl208])).
% 0.15/0.59 thf(zip_derived_cl3, plain,
% 0.15/0.59 (![X0 : $i, X1 : $i]:
% 0.15/0.59 ( (zip_tseitin_0 @ X0 @ X1) | ((X1) = (f @ (g @ X1))))),
% 0.15/0.59 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.15/0.59 thf(zip_derived_cl92, plain,
% 0.15/0.59 (![X0 : $i]:
% 0.15/0.59 (((X0) != (f @ (g @ X0)))
% 0.15/0.59 | ~ (zip_tseitin_0 @ sk__1 @ sk_)
% 0.15/0.59 | ~ (zip_tseitin_3))),
% 0.15/0.59 inference('dp-resolution', [status(thm)],
% 0.15/0.59 [zip_derived_cl6, zip_derived_cl15])).
% 0.15/0.59 thf(zip_derived_cl98, plain,
% 0.15/0.59 (![X0 : $i]:
% 0.15/0.59 (((sk_) = (f @ (g @ sk_)))
% 0.15/0.59 | ~ (zip_tseitin_3)
% 0.15/0.59 | ((X0) != (f @ (g @ X0))))),
% 0.15/0.59 inference('dp-resolution', [status(thm)],
% 0.15/0.59 [zip_derived_cl3, zip_derived_cl92])).
% 0.15/0.59 thf(zip_derived_cl195, plain, ( (zip_tseitin_3)),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 0.15/0.59 thf(zip_derived_cl203, plain,
% 0.15/0.59 (![X0 : $i]: (((sk_) = (f @ (g @ sk_))) | ((X0) != (f @ (g @ X0))))),
% 0.15/0.59 inference('demod', [status(thm)], [zip_derived_cl98, zip_derived_cl195])).
% 0.15/0.59 thf(zip_derived_cl213, plain,
% 0.15/0.59 ((((sk_) = (f @ (g @ sk_))) | ((sk__1) != (sk__1)))),
% 0.15/0.59 inference('s_sup-', [status(thm)], [zip_derived_cl209, zip_derived_cl203])).
% 0.15/0.59 thf(zip_derived_cl215, plain, (((sk_) = (f @ (g @ sk_)))),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl213])).
% 0.15/0.59 thf(zip_derived_cl200, plain, (((sk__5) = (g @ (f @ sk__5)))),
% 0.15/0.59 inference('demod', [status(thm)], [zip_derived_cl11, zip_derived_cl195])).
% 0.15/0.59 thf(zip_derived_cl12, plain,
% 0.15/0.59 (![X0 : $i, X1 : $i]: ( (zip_tseitin_2 @ X0 @ X1) | ~ (zip_tseitin_3))),
% 0.15/0.59 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.15/0.59 thf(zip_derived_cl7, plain,
% 0.15/0.59 (![X0 : $i, X1 : $i]:
% 0.15/0.59 (((X0) != (g @ (f @ X0)))
% 0.15/0.59 | ((X1) != (g @ (f @ X1)))
% 0.15/0.59 | ((X0) = (X1))
% 0.15/0.59 | ~ (zip_tseitin_2 @ X1 @ X0))),
% 0.15/0.59 inference('cnf', [status(esa)], [zf_stmt_3])).
% 0.15/0.59 thf(zip_derived_cl99, plain,
% 0.15/0.59 (![X0 : $i, X1 : $i]:
% 0.15/0.59 (~ (zip_tseitin_3)
% 0.15/0.59 | ((X0) = (X1))
% 0.15/0.59 | ((X1) != (g @ (f @ X1)))
% 0.15/0.59 | ((X0) != (g @ (f @ X0))))),
% 0.15/0.59 inference('dp-resolution', [status(thm)],
% 0.15/0.59 [zip_derived_cl12, zip_derived_cl7])).
% 0.15/0.59 thf(zip_derived_cl195, plain, ( (zip_tseitin_3)),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 0.15/0.59 thf(zip_derived_cl204, plain,
% 0.15/0.59 (![X0 : $i, X1 : $i]:
% 0.15/0.59 (((X0) = (X1)) | ((X1) != (g @ (f @ X1))) | ((X0) != (g @ (f @ X0))))),
% 0.15/0.59 inference('demod', [status(thm)], [zip_derived_cl99, zip_derived_cl195])).
% 0.15/0.59 thf(zip_derived_cl221, plain,
% 0.15/0.59 (![X0 : $i]:
% 0.15/0.59 (((X0) = (sk__5)) | ((sk__5) != (sk__5)) | ((X0) != (g @ (f @ X0))))),
% 0.15/0.59 inference('s_sup-', [status(thm)], [zip_derived_cl200, zip_derived_cl204])).
% 0.15/0.59 thf(zip_derived_cl224, plain,
% 0.15/0.59 (![X0 : $i]: (((X0) != (g @ (f @ X0))) | ((X0) = (sk__5)))),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl221])).
% 0.15/0.59 thf(zip_derived_cl229, plain,
% 0.15/0.59 ((((g @ sk_) != (g @ sk_)) | ((g @ sk_) = (sk__5)))),
% 0.15/0.59 inference('s_sup-', [status(thm)], [zip_derived_cl215, zip_derived_cl224])).
% 0.15/0.59 thf(zip_derived_cl232, plain, (((g @ sk_) = (sk__5))),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl229])).
% 0.15/0.59 thf(zip_derived_cl1, plain,
% 0.15/0.59 (![X0 : $i, X1 : $i]: ( (zip_tseitin_0 @ X0 @ X1) | ((X1) != (X0)))),
% 0.15/0.59 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.15/0.59 thf(zip_derived_cl92, plain,
% 0.15/0.59 (![X0 : $i]:
% 0.15/0.59 (((X0) != (f @ (g @ X0)))
% 0.15/0.59 | ~ (zip_tseitin_0 @ sk__1 @ sk_)
% 0.15/0.59 | ~ (zip_tseitin_3))),
% 0.15/0.59 inference('dp-resolution', [status(thm)],
% 0.15/0.59 [zip_derived_cl6, zip_derived_cl15])).
% 0.15/0.59 thf(zip_derived_cl96, plain,
% 0.15/0.59 (![X0 : $i]:
% 0.15/0.59 (((sk_) != (sk__1)) | ~ (zip_tseitin_3) | ((X0) != (f @ (g @ X0))))),
% 0.15/0.59 inference('dp-resolution', [status(thm)],
% 0.15/0.59 [zip_derived_cl1, zip_derived_cl92])).
% 0.15/0.59 thf(zip_derived_cl195, plain, ( (zip_tseitin_3)),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl190])).
% 0.15/0.59 thf(zip_derived_cl201, plain,
% 0.15/0.59 (![X0 : $i]: (((sk_) != (sk__1)) | ((X0) != (f @ (g @ X0))))),
% 0.15/0.59 inference('demod', [status(thm)], [zip_derived_cl96, zip_derived_cl195])).
% 0.15/0.59 thf(zip_derived_cl209, plain, (((sk__1) = (f @ (g @ sk__1)))),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl208])).
% 0.15/0.59 thf(zip_derived_cl209, plain, (((sk__1) = (f @ (g @ sk__1)))),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl208])).
% 0.15/0.59 thf(zip_derived_cl224, plain,
% 0.15/0.59 (![X0 : $i]: (((X0) != (g @ (f @ X0))) | ((X0) = (sk__5)))),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl221])).
% 0.15/0.59 thf(zip_derived_cl230, plain,
% 0.15/0.59 ((((g @ sk__1) != (g @ sk__1)) | ((g @ sk__1) = (sk__5)))),
% 0.15/0.59 inference('s_sup-', [status(thm)], [zip_derived_cl209, zip_derived_cl224])).
% 0.15/0.59 thf(zip_derived_cl233, plain, (((g @ sk__1) = (sk__5))),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl230])).
% 0.15/0.59 thf(zip_derived_cl235, plain, (((sk__1) = (f @ sk__5))),
% 0.15/0.59 inference('demod', [status(thm)], [zip_derived_cl209, zip_derived_cl233])).
% 0.15/0.59 thf(zip_derived_cl215, plain, (((sk_) = (f @ (g @ sk_)))),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl213])).
% 0.15/0.59 thf(zip_derived_cl232, plain, (((g @ sk_) = (sk__5))),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl229])).
% 0.15/0.59 thf(zip_derived_cl234, plain, (((sk_) = (f @ sk__5))),
% 0.15/0.59 inference('demod', [status(thm)], [zip_derived_cl215, zip_derived_cl232])).
% 0.15/0.59 thf(zip_derived_cl244, plain, (((sk__1) = (sk_))),
% 0.15/0.59 inference('demod', [status(thm)], [zip_derived_cl235, zip_derived_cl234])).
% 0.15/0.59 thf(zip_derived_cl245, plain,
% 0.15/0.59 (![X0 : $i]: (((sk_) != (sk_)) | ((X0) != (f @ (g @ X0))))),
% 0.15/0.59 inference('demod', [status(thm)], [zip_derived_cl201, zip_derived_cl244])).
% 0.15/0.59 thf(zip_derived_cl246, plain, (![X0 : $i]: ((X0) != (f @ (g @ X0)))),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl245])).
% 0.15/0.59 thf(zip_derived_cl248, plain, (((sk_) != (f @ sk__5))),
% 0.15/0.59 inference('s_sup-', [status(thm)], [zip_derived_cl232, zip_derived_cl246])).
% 0.15/0.59 thf(zip_derived_cl234, plain, (((sk_) = (f @ sk__5))),
% 0.15/0.59 inference('demod', [status(thm)], [zip_derived_cl215, zip_derived_cl232])).
% 0.15/0.59 thf(zip_derived_cl249, plain, (((sk_) != (sk_))),
% 0.15/0.59 inference('demod', [status(thm)], [zip_derived_cl248, zip_derived_cl234])).
% 0.15/0.59 thf(zip_derived_cl250, plain, ($false),
% 0.15/0.59 inference('simplify', [status(thm)], [zip_derived_cl249])).
% 0.15/0.59
% 0.15/0.59 % SZS output end Refutation
% 0.15/0.59
% 0.15/0.59
% 0.15/0.59 % Terminating...
% 1.25/0.68 % Runner terminated.
% 1.25/0.69 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------