%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET724+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rPv7CZBWlJ true
% Computer : n012.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 04:52:45 PM UTC 2025
% Result : Theorem 134.48s 19.87s
% Output : Refutation 134.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET724+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% 0.11/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rPv7CZBWlJ true
% 0.11/0.32 % Computer : n012.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 13:06:53 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
% 0.50/0.60 % Total configuration time : 435
% 0.50/0.60 % Estimated wc time : 1092
% 0.50/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.50/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.51/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.51/0.72 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.51/0.73 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 134.48/19.87 % Solved by fo/fo4.sh.
% 134.48/19.87 % done 1634 iterations in 19.113s
% 134.48/19.87 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 134.48/19.87 % SZS output start Refutation
% 134.48/19.87 thf(member_type, type, member: $i > $i > $o).
% 134.48/19.87 thf(sk__15_type, type, sk__15: $i).
% 134.48/19.87 thf(sk__14_type, type, sk__14: $i).
% 134.48/19.87 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 134.48/19.87 thf(sk__11_type, type, sk__11: $i).
% 134.48/19.87 thf(sk__6_type, type, sk__6: $i > $i > $i > $i > $i).
% 134.48/19.87 thf(sk__10_type, type, sk__10: $i > $i > $i > $i).
% 134.48/19.87 thf(sk__type, type, sk_: $i > $i > $i > $i).
% 134.48/19.87 thf(sk__7_type, type, sk__7: $i > $i > $i > $i > $i).
% 134.48/19.87 thf(compose_function_type, type, compose_function: $i > $i > $i > $i > $i > $i).
% 134.48/19.87 thf(sk__13_type, type, sk__13: $i).
% 134.48/19.87 thf(maps_type, type, maps: $i > $i > $i > $o).
% 134.48/19.87 thf(surjective_type, type, surjective: $i > $i > $i > $o).
% 134.48/19.87 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 134.48/19.87 thf(apply_type, type, apply: $i > $i > $i > $o).
% 134.48/19.87 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 134.48/19.87 thf(equal_maps_type, type, equal_maps: $i > $i > $i > $i > $o).
% 134.48/19.87 thf(sk__8_type, type, sk__8: $i > $i > $i > $i > $i).
% 134.48/19.87 thf(sk__12_type, type, sk__12: $i).
% 134.48/19.87 thf(sk__16_type, type, sk__16: $i).
% 134.48/19.87 thf(maps, axiom,
% 134.48/19.87 (![F:$i,A:$i,B:$i]:
% 134.48/19.87 ( ( maps @ F @ A @ B ) <=>
% 134.48/19.87 ( ( ![X:$i,Y1:$i,Y2:$i]:
% 134.48/19.87 ( ( ( member @ Y2 @ B ) & ( member @ Y1 @ B ) & ( member @ X @ A ) ) =>
% 134.48/19.87 ( ( ( apply @ F @ X @ Y2 ) & ( apply @ F @ X @ Y1 ) ) =>
% 134.48/19.87 ( ( Y1 ) = ( Y2 ) ) ) ) ) &
% 134.48/19.87 ( ![X:$i]:
% 134.48/19.87 ( ( member @ X @ A ) =>
% 134.48/19.87 ( ?[Y:$i]: ( ( member @ Y @ B ) & ( apply @ F @ X @ Y ) ) ) ) ) ) ))).
% 134.48/19.87 thf(zf_stmt_0, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 134.48/19.87 thf(zf_stmt_1, axiom,
% 134.48/19.87 (![X:$i,B:$i,A:$i,F:$i]:
% 134.48/19.87 ( ( zip_tseitin_2 @ X @ B @ A @ F ) <=>
% 134.48/19.87 ( ( member @ X @ A ) =>
% 134.48/19.87 ( ?[Y:$i]: ( ( apply @ F @ X @ Y ) & ( member @ Y @ B ) ) ) ) ))).
% 134.48/19.87 thf(zf_stmt_2, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 134.48/19.87 thf(zf_stmt_3, axiom,
% 134.48/19.87 (![Y2:$i,Y1:$i,X:$i,F:$i]:
% 134.48/19.87 ( ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) <=>
% 134.48/19.87 ( ( ( apply @ F @ X @ Y1 ) & ( apply @ F @ X @ Y2 ) ) =>
% 134.48/19.87 ( ( Y1 ) = ( Y2 ) ) ) ))).
% 134.48/19.87 thf(zf_stmt_4, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 134.48/19.87 thf(zf_stmt_5, axiom,
% 134.48/19.87 (![Y2:$i,Y1:$i,X:$i,B:$i,A:$i]:
% 134.48/19.87 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) <=>
% 134.48/19.87 ( ( member @ X @ A ) & ( member @ Y1 @ B ) & ( member @ Y2 @ B ) ) ))).
% 134.48/19.87 thf(zf_stmt_6, axiom,
% 134.48/19.87 (![F:$i,A:$i,B:$i]:
% 134.48/19.87 ( ( maps @ F @ A @ B ) <=>
% 134.48/19.87 ( ( ![X:$i]: ( zip_tseitin_2 @ X @ B @ A @ F ) ) &
% 134.48/19.87 ( ![X:$i,Y1:$i,Y2:$i]:
% 134.48/19.87 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) =>
% 134.48/19.87 ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) ) ) ) ))).
% 134.48/19.87 thf(zip_derived_cl12, plain,
% 134.48/19.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.87 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3) | ~ (maps @ X3 @ X2 @ X1))),
% 134.48/19.87 inference('cnf', [status(esa)], [zf_stmt_6])).
% 134.48/19.87 thf(thII15, conjecture,
% 134.48/19.87 (![F:$i,G:$i,H:$i,A:$i,B:$i,C:$i]:
% 134.48/19.87 ( ( ( maps @ F @ A @ B ) & ( maps @ G @ B @ C ) & ( maps @ H @ B @ C ) &
% 134.48/19.87 ( surjective @ F @ A @ B ) &
% 134.48/19.87 ( equal_maps @
% 134.48/19.87 ( compose_function @ G @ F @ A @ B @ C ) @
% 134.48/19.87 ( compose_function @ H @ F @ A @ B @ C ) @ A @ C ) ) =>
% 134.48/19.87 ( equal_maps @ G @ H @ B @ C ) ))).
% 134.48/19.87 thf(zf_stmt_7, negated_conjecture,
% 134.48/19.87 (~( ![F:$i,G:$i,H:$i,A:$i,B:$i,C:$i]:
% 134.48/19.87 ( ( ( maps @ F @ A @ B ) & ( maps @ G @ B @ C ) &
% 134.48/19.87 ( maps @ H @ B @ C ) & ( surjective @ F @ A @ B ) &
% 134.48/19.87 ( equal_maps @
% 134.48/19.87 ( compose_function @ G @ F @ A @ B @ C ) @
% 134.48/19.87 ( compose_function @ H @ F @ A @ B @ C ) @ A @ C ) ) =>
% 134.48/19.87 ( equal_maps @ G @ H @ B @ C ) ) )),
% 134.48/19.87 inference('cnf.neg', [status(esa)], [thII15])).
% 134.48/19.87 thf(zip_derived_cl37, plain, ( (maps @ sk__12 @ sk__15 @ sk__16)),
% 134.48/19.87 inference('cnf', [status(esa)], [zf_stmt_7])).
% 134.48/19.87 thf(zip_derived_cl46, plain,
% 134.48/19.87 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__16 @ sk__15 @ sk__12)),
% 134.48/19.87 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl37])).
% 134.48/19.87 thf(zip_derived_cl9, plain,
% 134.48/19.87 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.87 (~ (member @ X0 @ X1)
% 134.48/19.87 | (apply @ X2 @ X0 @ (sk_ @ X2 @ X3 @ X0))
% 134.48/19.87 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.48/19.88 thf(zip_derived_cl63, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (apply @ sk__12 @ X0 @ (sk_ @ sk__12 @ sk__16 @ X0))
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl9])).
% 134.48/19.88 thf(zip_derived_cl12, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3) | ~ (maps @ X3 @ X2 @ X1))),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_6])).
% 134.48/19.88 thf(zip_derived_cl36, plain, ( (maps @ sk__13 @ sk__15 @ sk__16)),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 134.48/19.88 thf(zip_derived_cl47, plain,
% 134.48/19.88 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__16 @ sk__15 @ sk__13)),
% 134.48/19.88 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl36])).
% 134.48/19.88 thf(zip_derived_cl9, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 (~ (member @ X0 @ X1)
% 134.48/19.88 | (apply @ X2 @ X0 @ (sk_ @ X2 @ X3 @ X0))
% 134.48/19.88 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.48/19.88 thf(zip_derived_cl64, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (apply @ sk__13 @ X0 @ (sk_ @ sk__13 @ sk__16 @ X0))
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl9])).
% 134.48/19.88 thf(zip_derived_cl39, plain, ( (surjective @ sk__11 @ sk__14 @ sk__15)),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 134.48/19.88 thf(surjective, axiom,
% 134.48/19.88 (![F:$i,A:$i,B:$i]:
% 134.48/19.88 ( ( surjective @ F @ A @ B ) <=>
% 134.48/19.88 ( ![Y:$i]:
% 134.48/19.88 ( ( member @ Y @ B ) =>
% 134.48/19.88 ( ?[E:$i]: ( ( apply @ F @ E @ Y ) & ( member @ E @ A ) ) ) ) ) ))).
% 134.48/19.88 thf(zip_derived_cl28, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 (~ (member @ X0 @ X1)
% 134.48/19.88 | (apply @ X2 @ (sk__10 @ X0 @ X3 @ X2) @ X0)
% 134.48/19.88 | ~ (surjective @ X2 @ X3 @ X1))),
% 134.48/19.88 inference('cnf', [status(esa)], [surjective])).
% 134.48/19.88 thf(zip_derived_cl59, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (apply @ sk__11 @ (sk__10 @ X0 @ sk__14 @ sk__11) @ X0)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl28])).
% 134.48/19.88 thf(compose_function, axiom,
% 134.48/19.88 (![G:$i,F:$i,A:$i,B:$i,C:$i,X:$i,Z:$i]:
% 134.48/19.88 ( ( ( member @ X @ A ) & ( member @ Z @ C ) ) =>
% 134.48/19.88 ( ( apply @ ( compose_function @ G @ F @ A @ B @ C ) @ X @ Z ) <=>
% 134.48/19.88 ( ?[Y:$i]:
% 134.48/19.88 ( ( apply @ G @ Y @ Z ) & ( apply @ F @ X @ Y ) & ( member @ Y @ B ) ) ) ) ))).
% 134.48/19.88 thf(zip_derived_cl19, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 134.48/19.88 (~ (member @ X0 @ X1)
% 134.48/19.88 | ~ (member @ X2 @ X3)
% 134.48/19.88 | (apply @ (compose_function @ X4 @ X5 @ X1 @ X6 @ X3) @ X0 @ X2)
% 134.48/19.88 | ~ (member @ X7 @ X6)
% 134.48/19.88 | ~ (apply @ X5 @ X0 @ X7)
% 134.48/19.88 | ~ (apply @ X4 @ X7 @ X2))),
% 134.48/19.88 inference('cnf', [status(esa)], [compose_function])).
% 134.48/19.88 thf(zip_derived_cl475, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ~ (apply @ X2 @ X0 @ X1)
% 134.48/19.88 | ~ (member @ X0 @ X3)
% 134.48/19.88 | (apply @ (compose_function @ X2 @ sk__11 @ X5 @ X3 @ X4) @
% 134.48/19.88 (sk__10 @ X0 @ sk__14 @ sk__11) @ X1)
% 134.48/19.88 | ~ (member @ X1 @ X4)
% 134.48/19.88 | ~ (member @ (sk__10 @ X0 @ sk__14 @ sk__11) @ X5))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl19])).
% 134.48/19.88 thf(zip_derived_cl475, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ~ (apply @ X2 @ X0 @ X1)
% 134.48/19.88 | ~ (member @ X0 @ X3)
% 134.48/19.88 | (apply @ (compose_function @ X2 @ sk__11 @ X5 @ X3 @ X4) @
% 134.48/19.88 (sk__10 @ X0 @ sk__14 @ sk__11) @ X1)
% 134.48/19.88 | ~ (member @ X1 @ X4)
% 134.48/19.88 | ~ (member @ (sk__10 @ X0 @ sk__14 @ sk__11) @ X5))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl59, zip_derived_cl19])).
% 134.48/19.88 thf(zip_derived_cl35, plain,
% 134.48/19.88 ( (equal_maps @
% 134.48/19.88 (compose_function @ sk__12 @ sk__11 @ sk__14 @ sk__15 @ sk__16) @
% 134.48/19.88 (compose_function @ sk__13 @ sk__11 @ sk__14 @ sk__15 @ sk__16) @
% 134.48/19.88 sk__14 @ sk__16)),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 134.48/19.88 thf(equal_maps, axiom,
% 134.48/19.88 (![F:$i,G:$i,A:$i,B:$i]:
% 134.48/19.88 ( ( equal_maps @ F @ G @ A @ B ) <=>
% 134.48/19.88 ( ![X:$i,Y1:$i,Y2:$i]:
% 134.48/19.88 ( ( ( member @ X @ A ) & ( member @ Y1 @ B ) & ( member @ Y2 @ B ) ) =>
% 134.48/19.88 ( ( ( apply @ F @ X @ Y1 ) & ( apply @ G @ X @ Y2 ) ) =>
% 134.48/19.88 ( ( Y1 ) = ( Y2 ) ) ) ) ) ))).
% 134.48/19.88 thf(zip_derived_cl20, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 134.48/19.88 (~ (apply @ X0 @ X1 @ X2)
% 134.48/19.88 | ((X3) = (X2))
% 134.48/19.88 | ~ (member @ X2 @ X4)
% 134.48/19.88 | ~ (member @ X1 @ X5)
% 134.48/19.88 | ~ (member @ X3 @ X4)
% 134.48/19.88 | ~ (apply @ X6 @ X1 @ X3)
% 134.48/19.88 | ~ (equal_maps @ X6 @ X0 @ X5 @ X4))),
% 134.48/19.88 inference('cnf', [status(esa)], [equal_maps])).
% 134.48/19.88 thf(zip_derived_cl65, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 (~ (apply @
% 134.48/19.88 (compose_function @ sk__12 @ sk__11 @ sk__14 @ sk__15 @ sk__16) @
% 134.48/19.88 X1 @ X0)
% 134.48/19.88 | ~ (member @ X0 @ sk__16)
% 134.48/19.88 | ~ (member @ X1 @ sk__14)
% 134.48/19.88 | ~ (member @ X2 @ sk__16)
% 134.48/19.88 | ((X0) = (X2))
% 134.48/19.88 | ~ (apply @
% 134.48/19.88 (compose_function @ sk__13 @ sk__11 @ sk__14 @ sk__15 @ sk__16) @
% 134.48/19.88 X1 @ X2))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl20])).
% 134.48/19.88 thf(zip_derived_cl9769, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 (~ (member @ (sk__10 @ X1 @ sk__14 @ sk__11) @ sk__14)
% 134.48/19.88 | ~ (member @ X0 @ sk__16)
% 134.48/19.88 | ~ (member @ X1 @ sk__15)
% 134.48/19.88 | ~ (apply @ sk__12 @ X1 @ X0)
% 134.48/19.88 | ~ (member @ X1 @ sk__15)
% 134.48/19.88 | ~ (apply @
% 134.48/19.88 (compose_function @ sk__13 @ sk__11 @ sk__14 @ sk__15 @ sk__16) @
% 134.48/19.88 (sk__10 @ X1 @ sk__14 @ sk__11) @ X2)
% 134.48/19.88 | ((X0) = (X2))
% 134.48/19.88 | ~ (member @ X2 @ sk__16)
% 134.48/19.88 | ~ (member @ (sk__10 @ X1 @ sk__14 @ sk__11) @ sk__14)
% 134.48/19.88 | ~ (member @ X0 @ sk__16))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl475, zip_derived_cl65])).
% 134.48/19.88 thf(zip_derived_cl9779, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 (~ (member @ X2 @ sk__16)
% 134.48/19.88 | ((X0) = (X2))
% 134.48/19.88 | ~ (apply @
% 134.48/19.88 (compose_function @ sk__13 @ sk__11 @ sk__14 @ sk__15 @ sk__16) @
% 134.48/19.88 (sk__10 @ X1 @ sk__14 @ sk__11) @ X2)
% 134.48/19.88 | ~ (apply @ sk__12 @ X1 @ X0)
% 134.48/19.88 | ~ (member @ X1 @ sk__15)
% 134.48/19.88 | ~ (member @ X0 @ sk__16)
% 134.48/19.88 | ~ (member @ (sk__10 @ X1 @ sk__14 @ sk__11) @ sk__14))),
% 134.48/19.88 inference('simplify', [status(thm)], [zip_derived_cl9769])).
% 134.48/19.88 thf(zip_derived_cl39, plain, ( (surjective @ sk__11 @ sk__14 @ sk__15)),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 134.48/19.88 thf(zip_derived_cl27, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 (~ (member @ X0 @ X1)
% 134.48/19.88 | (member @ (sk__10 @ X0 @ X2 @ X3) @ X2)
% 134.48/19.88 | ~ (surjective @ X3 @ X2 @ X1))),
% 134.48/19.88 inference('cnf', [status(esa)], [surjective])).
% 134.48/19.88 thf(zip_derived_cl52, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (member @ (sk__10 @ X0 @ sk__14 @ sk__11) @ sk__14)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl27])).
% 134.48/19.88 thf(zip_derived_cl9939, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__16)
% 134.48/19.88 | ~ (member @ X1 @ sk__15)
% 134.48/19.88 | ~ (apply @ sk__12 @ X1 @ X0)
% 134.48/19.88 | ~ (apply @
% 134.48/19.88 (compose_function @ sk__13 @ sk__11 @ sk__14 @ sk__15 @ sk__16) @
% 134.48/19.88 (sk__10 @ X1 @ sk__14 @ sk__11) @ X2)
% 134.48/19.88 | ((X0) = (X2))
% 134.48/19.88 | ~ (member @ X2 @ sk__16))),
% 134.48/19.88 inference('clc', [status(thm)], [zip_derived_cl9779, zip_derived_cl52])).
% 134.48/19.88 thf(zip_derived_cl9940, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 (~ (member @ (sk__10 @ X1 @ sk__14 @ sk__11) @ sk__14)
% 134.48/19.88 | ~ (member @ X0 @ sk__16)
% 134.48/19.88 | ~ (member @ X1 @ sk__15)
% 134.48/19.88 | ~ (apply @ sk__13 @ X1 @ X0)
% 134.48/19.88 | ~ (member @ X1 @ sk__15)
% 134.48/19.88 | ~ (member @ X0 @ sk__16)
% 134.48/19.88 | ((X2) = (X0))
% 134.48/19.88 | ~ (apply @ sk__12 @ X1 @ X2)
% 134.48/19.88 | ~ (member @ X1 @ sk__15)
% 134.48/19.88 | ~ (member @ X2 @ sk__16))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl475, zip_derived_cl9939])).
% 134.48/19.88 thf(zip_derived_cl9944, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 (~ (member @ X2 @ sk__16)
% 134.48/19.88 | ~ (apply @ sk__12 @ X1 @ X2)
% 134.48/19.88 | ((X2) = (X0))
% 134.48/19.88 | ~ (apply @ sk__13 @ X1 @ X0)
% 134.48/19.88 | ~ (member @ X1 @ sk__15)
% 134.48/19.88 | ~ (member @ X0 @ sk__16)
% 134.48/19.88 | ~ (member @ (sk__10 @ X1 @ sk__14 @ sk__11) @ sk__14))),
% 134.48/19.88 inference('simplify', [status(thm)], [zip_derived_cl9940])).
% 134.48/19.88 thf(zip_derived_cl52, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (member @ (sk__10 @ X0 @ sk__14 @ sk__11) @ sk__14)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl27])).
% 134.48/19.88 thf(zip_derived_cl9945, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__16)
% 134.48/19.88 | ~ (member @ X1 @ sk__15)
% 134.48/19.88 | ~ (apply @ sk__13 @ X1 @ X0)
% 134.48/19.88 | ((X2) = (X0))
% 134.48/19.88 | ~ (apply @ sk__12 @ X1 @ X2)
% 134.48/19.88 | ~ (member @ X2 @ sk__16))),
% 134.48/19.88 inference('clc', [status(thm)], [zip_derived_cl9944, zip_derived_cl52])).
% 134.48/19.88 thf(zip_derived_cl9974, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ~ (member @ X1 @ sk__16)
% 134.48/19.88 | ~ (apply @ sk__12 @ X0 @ X1)
% 134.48/19.88 | ((X1) = (sk_ @ sk__13 @ sk__16 @ X0))
% 134.48/19.88 | ~ (member @ X0 @ sk__15)
% 134.48/19.88 | ~ (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl9945])).
% 134.48/19.88 thf(zip_derived_cl9976, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 (~ (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16)
% 134.48/19.88 | ((X1) = (sk_ @ sk__13 @ sk__16 @ X0))
% 134.48/19.88 | ~ (apply @ sk__12 @ X0 @ X1)
% 134.48/19.88 | ~ (member @ X1 @ sk__16)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('simplify', [status(thm)], [zip_derived_cl9974])).
% 134.48/19.88 thf(zip_derived_cl47, plain,
% 134.48/19.88 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__16 @ sk__15 @ sk__13)),
% 134.48/19.88 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl36])).
% 134.48/19.88 thf(zip_derived_cl8, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 (~ (member @ X0 @ X1)
% 134.48/19.88 | (member @ (sk_ @ X2 @ X3 @ X0) @ X3)
% 134.48/19.88 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.48/19.88 thf(zip_derived_cl58, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl8])).
% 134.48/19.88 thf(zip_derived_cl10026, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ~ (member @ X1 @ sk__16)
% 134.48/19.88 | ~ (apply @ sk__12 @ X0 @ X1)
% 134.48/19.88 | ((X1) = (sk_ @ sk__13 @ sk__16 @ X0)))),
% 134.48/19.88 inference('clc', [status(thm)], [zip_derived_cl9976, zip_derived_cl58])).
% 134.48/19.88 thf(zip_derived_cl10160, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ((sk_ @ sk__12 @ sk__16 @ X0) = (sk_ @ sk__13 @ sk__16 @ X0))
% 134.48/19.88 | ~ (member @ (sk_ @ sk__12 @ sk__16 @ X0) @ sk__16)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl10026])).
% 134.48/19.88 thf(zip_derived_cl10163, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 (~ (member @ (sk_ @ sk__12 @ sk__16 @ X0) @ sk__16)
% 134.48/19.88 | ((sk_ @ sk__12 @ sk__16 @ X0) = (sk_ @ sk__13 @ sk__16 @ X0))
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('simplify', [status(thm)], [zip_derived_cl10160])).
% 134.48/19.88 thf(zip_derived_cl46, plain,
% 134.48/19.88 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__16 @ sk__15 @ sk__12)),
% 134.48/19.88 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl37])).
% 134.48/19.88 thf(zip_derived_cl8, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 (~ (member @ X0 @ X1)
% 134.48/19.88 | (member @ (sk_ @ X2 @ X3 @ X0) @ X3)
% 134.48/19.88 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.48/19.88 thf(zip_derived_cl57, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (member @ (sk_ @ sk__12 @ sk__16 @ X0) @ sk__16)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl8])).
% 134.48/19.88 thf(zip_derived_cl10266, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ((sk_ @ sk__12 @ sk__16 @ X0) = (sk_ @ sk__13 @ sk__16 @ X0)))),
% 134.48/19.88 inference('clc', [status(thm)], [zip_derived_cl10163, zip_derived_cl57])).
% 134.48/19.88 thf(zip_derived_cl23, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 134.48/19.88 | (member @ (sk__6 @ X3 @ X2 @ X1 @ X0) @ X2))),
% 134.48/19.88 inference('cnf', [status(esa)], [equal_maps])).
% 134.48/19.88 thf(zip_derived_cl22, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 134.48/19.88 | (member @ (sk__7 @ X3 @ X2 @ X1 @ X0) @ X3))),
% 134.48/19.88 inference('cnf', [status(esa)], [equal_maps])).
% 134.48/19.88 thf(zip_derived_cl21, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 134.48/19.88 | (apply @ X0 @ (sk__6 @ X3 @ X2 @ X1 @ X0) @
% 134.48/19.88 (sk__7 @ X3 @ X2 @ X1 @ X0)))),
% 134.48/19.88 inference('cnf', [status(esa)], [equal_maps])).
% 134.48/19.88 thf(zip_derived_cl63, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (apply @ sk__12 @ X0 @ (sk_ @ sk__12 @ sk__16 @ X0))
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl9])).
% 134.48/19.88 thf(zip_derived_cl37, plain, ( (maps @ sk__12 @ sk__15 @ sk__16)),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 134.48/19.88 thf(zip_derived_cl3, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 134.48/19.88 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 134.48/19.88 | ~ (member @ X0 @ X3)
% 134.48/19.88 | ~ (member @ X1 @ X3)
% 134.48/19.88 | ~ (member @ X2 @ X4))),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_5])).
% 134.48/19.88 thf(zip_derived_cl13, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 134.48/19.88 (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 134.48/19.88 | (zip_tseitin_1 @ X0 @ X1 @ X2 @ X5)
% 134.48/19.88 | ~ (maps @ X5 @ X4 @ X3))),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_6])).
% 134.48/19.88 thf(zip_derived_cl53, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 134.48/19.88 (~ (member @ X2 @ X0)
% 134.48/19.88 | ~ (member @ X3 @ X1)
% 134.48/19.88 | ~ (member @ X4 @ X1)
% 134.48/19.88 | ~ (maps @ X5 @ X0 @ X1)
% 134.48/19.88 | (zip_tseitin_1 @ X4 @ X3 @ X2 @ X5))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 134.48/19.88 thf(zip_derived_cl77, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 ( (zip_tseitin_1 @ X2 @ X1 @ X0 @ sk__12)
% 134.48/19.88 | ~ (member @ X2 @ sk__16)
% 134.48/19.88 | ~ (member @ X1 @ sk__16)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl53])).
% 134.48/19.88 thf(zip_derived_cl4, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 (~ (apply @ X0 @ X1 @ X2)
% 134.48/19.88 | ~ (apply @ X0 @ X1 @ X3)
% 134.48/19.88 | ((X2) = (X3))
% 134.48/19.88 | ~ (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0))),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 134.48/19.88 thf(zip_derived_cl84, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ~ (member @ X1 @ sk__16)
% 134.48/19.88 | ~ (member @ X2 @ sk__16)
% 134.48/19.88 | ((X1) = (X2))
% 134.48/19.88 | ~ (apply @ sk__12 @ X0 @ X2)
% 134.48/19.88 | ~ (apply @ sk__12 @ X0 @ X1))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl77, zip_derived_cl4])).
% 134.48/19.88 thf(zip_derived_cl107, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ~ (apply @ sk__12 @ X0 @ X1)
% 134.48/19.88 | ((X1) = (sk_ @ sk__12 @ sk__16 @ X0))
% 134.48/19.88 | ~ (member @ (sk_ @ sk__12 @ sk__16 @ X0) @ sk__16)
% 134.48/19.88 | ~ (member @ X1 @ sk__16)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl63, zip_derived_cl84])).
% 134.48/19.88 thf(zip_derived_cl108, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 (~ (member @ X1 @ sk__16)
% 134.48/19.88 | ~ (member @ (sk_ @ sk__12 @ sk__16 @ X0) @ sk__16)
% 134.48/19.88 | ((X1) = (sk_ @ sk__12 @ sk__16 @ X0))
% 134.48/19.88 | ~ (apply @ sk__12 @ X0 @ X1)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('simplify', [status(thm)], [zip_derived_cl107])).
% 134.48/19.88 thf(zip_derived_cl57, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (member @ (sk_ @ sk__12 @ sk__16 @ X0) @ sk__16)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl8])).
% 134.48/19.88 thf(zip_derived_cl490, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ~ (apply @ sk__12 @ X0 @ X1)
% 134.48/19.88 | ((X1) = (sk_ @ sk__12 @ sk__16 @ X0))
% 134.48/19.88 | ~ (member @ X1 @ sk__16))),
% 134.48/19.88 inference('clc', [status(thm)], [zip_derived_cl108, zip_derived_cl57])).
% 134.48/19.88 thf(zip_derived_cl536, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 ( (equal_maps @ sk__12 @ X0 @ X1 @ X2)
% 134.48/19.88 | ~ (member @ (sk__7 @ X2 @ X1 @ X0 @ sk__12) @ sk__16)
% 134.48/19.88 | ((sk__7 @ X2 @ X1 @ X0 @ sk__12)
% 134.48/19.88 = (sk_ @ sk__12 @ sk__16 @ (sk__6 @ X2 @ X1 @ X0 @ sk__12)))
% 134.48/19.88 | ~ (member @ (sk__6 @ X2 @ X1 @ X0 @ sk__12) @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl490])).
% 134.48/19.88 thf(zip_derived_cl7600, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 ( (equal_maps @ sk__12 @ X0 @ X1 @ sk__16)
% 134.48/19.88 | ~ (member @ (sk__6 @ sk__16 @ X1 @ X0 @ sk__12) @ sk__15)
% 134.48/19.88 | ((sk__7 @ sk__16 @ X1 @ X0 @ sk__12)
% 134.48/19.88 = (sk_ @ sk__12 @ sk__16 @ (sk__6 @ sk__16 @ X1 @ X0 @ sk__12)))
% 134.48/19.88 | (equal_maps @ sk__12 @ X0 @ X1 @ sk__16))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl536])).
% 134.48/19.88 thf(zip_derived_cl7604, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 (((sk__7 @ sk__16 @ X1 @ X0 @ sk__12)
% 134.48/19.88 = (sk_ @ sk__12 @ sk__16 @ (sk__6 @ sk__16 @ X1 @ X0 @ sk__12)))
% 134.48/19.88 | ~ (member @ (sk__6 @ sk__16 @ X1 @ X0 @ sk__12) @ sk__15)
% 134.48/19.88 | (equal_maps @ sk__12 @ X0 @ X1 @ sk__16))),
% 134.48/19.88 inference('simplify', [status(thm)], [zip_derived_cl7600])).
% 134.48/19.88 thf(zip_derived_cl7607, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (equal_maps @ sk__12 @ X0 @ sk__15 @ sk__16)
% 134.48/19.88 | (equal_maps @ sk__12 @ X0 @ sk__15 @ sk__16)
% 134.48/19.88 | ((sk__7 @ sk__16 @ sk__15 @ X0 @ sk__12)
% 134.48/19.88 = (sk_ @ sk__12 @ sk__16 @
% 134.48/19.88 (sk__6 @ sk__16 @ sk__15 @ X0 @ sk__12))))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl7604])).
% 134.48/19.88 thf(zip_derived_cl7611, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 (((sk__7 @ sk__16 @ sk__15 @ X0 @ sk__12)
% 134.48/19.88 = (sk_ @ sk__12 @ sk__16 @ (sk__6 @ sk__16 @ sk__15 @ X0 @ sk__12)))
% 134.48/19.88 | (equal_maps @ sk__12 @ X0 @ sk__15 @ sk__16))),
% 134.48/19.88 inference('simplify', [status(thm)], [zip_derived_cl7607])).
% 134.48/19.88 thf(zip_derived_cl10339, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 (((sk__7 @ sk__16 @ sk__15 @ X0 @ sk__12)
% 134.48/19.88 = (sk_ @ sk__13 @ sk__16 @ (sk__6 @ sk__16 @ sk__15 @ X0 @ sk__12)))
% 134.48/19.88 | ~ (member @ (sk__6 @ sk__16 @ sk__15 @ X0 @ sk__12) @ sk__15)
% 134.48/19.88 | (equal_maps @ sk__12 @ X0 @ sk__15 @ sk__16))),
% 134.48/19.88 inference('sup+', [status(thm)],
% 134.48/19.88 [zip_derived_cl10266, zip_derived_cl7611])).
% 134.48/19.88 thf(zip_derived_cl23, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 134.48/19.88 | (member @ (sk__6 @ X3 @ X2 @ X1 @ X0) @ X2))),
% 134.48/19.88 inference('cnf', [status(esa)], [equal_maps])).
% 134.48/19.88 thf(zip_derived_cl18759, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (equal_maps @ sk__12 @ X0 @ sk__15 @ sk__16)
% 134.48/19.88 | ((sk__7 @ sk__16 @ sk__15 @ X0 @ sk__12)
% 134.48/19.88 = (sk_ @ sk__13 @ sk__16 @
% 134.48/19.88 (sk__6 @ sk__16 @ sk__15 @ X0 @ sk__12))))),
% 134.48/19.88 inference('clc', [status(thm)], [zip_derived_cl10339, zip_derived_cl23])).
% 134.48/19.88 thf(zip_derived_cl23, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 134.48/19.88 | (member @ (sk__6 @ X3 @ X2 @ X1 @ X0) @ X2))),
% 134.48/19.88 inference('cnf', [status(esa)], [equal_maps])).
% 134.48/19.88 thf(zip_derived_cl24, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 134.48/19.88 | (member @ (sk__8 @ X3 @ X2 @ X1 @ X0) @ X3))),
% 134.48/19.88 inference('cnf', [status(esa)], [equal_maps])).
% 134.48/19.88 thf(zip_derived_cl26, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 134.48/19.88 | (apply @ X1 @ (sk__6 @ X3 @ X2 @ X1 @ X0) @
% 134.48/19.88 (sk__8 @ X3 @ X2 @ X1 @ X0)))),
% 134.48/19.88 inference('cnf', [status(esa)], [equal_maps])).
% 134.48/19.88 thf(zip_derived_cl64, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (apply @ sk__13 @ X0 @ (sk_ @ sk__13 @ sk__16 @ X0))
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl9])).
% 134.48/19.88 thf(zip_derived_cl36, plain, ( (maps @ sk__13 @ sk__15 @ sk__16)),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 134.48/19.88 thf(zip_derived_cl53, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 134.48/19.88 (~ (member @ X2 @ X0)
% 134.48/19.88 | ~ (member @ X3 @ X1)
% 134.48/19.88 | ~ (member @ X4 @ X1)
% 134.48/19.88 | ~ (maps @ X5 @ X0 @ X1)
% 134.48/19.88 | (zip_tseitin_1 @ X4 @ X3 @ X2 @ X5))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 134.48/19.88 thf(zip_derived_cl78, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 ( (zip_tseitin_1 @ X2 @ X1 @ X0 @ sk__13)
% 134.48/19.88 | ~ (member @ X2 @ sk__16)
% 134.48/19.88 | ~ (member @ X1 @ sk__16)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl36, zip_derived_cl53])).
% 134.48/19.88 thf(zip_derived_cl4, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 (~ (apply @ X0 @ X1 @ X2)
% 134.48/19.88 | ~ (apply @ X0 @ X1 @ X3)
% 134.48/19.88 | ((X2) = (X3))
% 134.48/19.88 | ~ (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0))),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_3])).
% 134.48/19.88 thf(zip_derived_cl100, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ~ (member @ X1 @ sk__16)
% 134.48/19.88 | ~ (member @ X2 @ sk__16)
% 134.48/19.88 | ((X1) = (X2))
% 134.48/19.88 | ~ (apply @ sk__13 @ X0 @ X2)
% 134.48/19.88 | ~ (apply @ sk__13 @ X0 @ X1))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl78, zip_derived_cl4])).
% 134.48/19.88 thf(zip_derived_cl118, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ~ (apply @ sk__13 @ X0 @ X1)
% 134.48/19.88 | ((X1) = (sk_ @ sk__13 @ sk__16 @ X0))
% 134.48/19.88 | ~ (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16)
% 134.48/19.88 | ~ (member @ X1 @ sk__16)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl64, zip_derived_cl100])).
% 134.48/19.88 thf(zip_derived_cl121, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 (~ (member @ X1 @ sk__16)
% 134.48/19.88 | ~ (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16)
% 134.48/19.88 | ((X1) = (sk_ @ sk__13 @ sk__16 @ X0))
% 134.48/19.88 | ~ (apply @ sk__13 @ X0 @ X1)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('simplify', [status(thm)], [zip_derived_cl118])).
% 134.48/19.88 thf(zip_derived_cl58, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (member @ (sk_ @ sk__13 @ sk__16 @ X0) @ sk__16)
% 134.48/19.88 | ~ (member @ X0 @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl8])).
% 134.48/19.88 thf(zip_derived_cl642, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 (~ (member @ X0 @ sk__15)
% 134.48/19.88 | ~ (apply @ sk__13 @ X0 @ X1)
% 134.48/19.88 | ((X1) = (sk_ @ sk__13 @ sk__16 @ X0))
% 134.48/19.88 | ~ (member @ X1 @ sk__16))),
% 134.48/19.88 inference('clc', [status(thm)], [zip_derived_cl121, zip_derived_cl58])).
% 134.48/19.88 thf(zip_derived_cl698, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i]:
% 134.48/19.88 ( (equal_maps @ X0 @ sk__13 @ X1 @ X2)
% 134.48/19.88 | ~ (member @ (sk__8 @ X2 @ X1 @ sk__13 @ X0) @ sk__16)
% 134.48/19.88 | ((sk__8 @ X2 @ X1 @ sk__13 @ X0)
% 134.48/19.88 = (sk_ @ sk__13 @ sk__16 @ (sk__6 @ X2 @ X1 @ sk__13 @ X0)))
% 134.48/19.88 | ~ (member @ (sk__6 @ X2 @ X1 @ sk__13 @ X0) @ sk__15))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl642])).
% 134.48/19.88 thf(zip_derived_cl9528, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 ( (equal_maps @ X0 @ sk__13 @ X1 @ sk__16)
% 134.48/19.88 | ~ (member @ (sk__6 @ sk__16 @ X1 @ sk__13 @ X0) @ sk__15)
% 134.48/19.88 | ((sk__8 @ sk__16 @ X1 @ sk__13 @ X0)
% 134.48/19.88 = (sk_ @ sk__13 @ sk__16 @ (sk__6 @ sk__16 @ X1 @ sk__13 @ X0)))
% 134.48/19.88 | (equal_maps @ X0 @ sk__13 @ X1 @ sk__16))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl698])).
% 134.48/19.88 thf(zip_derived_cl9532, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i]:
% 134.48/19.88 (((sk__8 @ sk__16 @ X1 @ sk__13 @ X0)
% 134.48/19.88 = (sk_ @ sk__13 @ sk__16 @ (sk__6 @ sk__16 @ X1 @ sk__13 @ X0)))
% 134.48/19.88 | ~ (member @ (sk__6 @ sk__16 @ X1 @ sk__13 @ X0) @ sk__15)
% 134.48/19.88 | (equal_maps @ X0 @ sk__13 @ X1 @ sk__16))),
% 134.48/19.88 inference('simplify', [status(thm)], [zip_derived_cl9528])).
% 134.48/19.88 thf(zip_derived_cl9535, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 ( (equal_maps @ X0 @ sk__13 @ sk__15 @ sk__16)
% 134.48/19.88 | (equal_maps @ X0 @ sk__13 @ sk__15 @ sk__16)
% 134.48/19.88 | ((sk__8 @ sk__16 @ sk__15 @ sk__13 @ X0)
% 134.48/19.88 = (sk_ @ sk__13 @ sk__16 @
% 134.48/19.88 (sk__6 @ sk__16 @ sk__15 @ sk__13 @ X0))))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl23, zip_derived_cl9532])).
% 134.48/19.88 thf(zip_derived_cl9539, plain,
% 134.48/19.88 (![X0 : $i]:
% 134.48/19.88 (((sk__8 @ sk__16 @ sk__15 @ sk__13 @ X0)
% 134.48/19.88 = (sk_ @ sk__13 @ sk__16 @ (sk__6 @ sk__16 @ sk__15 @ sk__13 @ X0)))
% 134.48/19.88 | (equal_maps @ X0 @ sk__13 @ sk__15 @ sk__16))),
% 134.48/19.88 inference('simplify', [status(thm)], [zip_derived_cl9535])).
% 134.48/19.88 thf(zip_derived_cl18811, plain,
% 134.48/19.88 ((((sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12)
% 134.48/19.88 = (sk__7 @ sk__16 @ sk__15 @ sk__13 @ sk__12))
% 134.48/19.88 | (equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16)
% 134.48/19.88 | (equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16))),
% 134.48/19.88 inference('sup+', [status(thm)],
% 134.48/19.88 [zip_derived_cl18759, zip_derived_cl9539])).
% 134.48/19.88 thf(zip_derived_cl34, plain,
% 134.48/19.88 (~ (equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16)),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 134.48/19.88 thf(zip_derived_cl34, plain,
% 134.48/19.88 (~ (equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16)),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 134.48/19.88 thf(zip_derived_cl18831, plain,
% 134.48/19.88 (((sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12)
% 134.48/19.88 = (sk__7 @ sk__16 @ sk__15 @ sk__13 @ sk__12))),
% 134.48/19.88 inference('demod', [status(thm)],
% 134.48/19.88 [zip_derived_cl18811, zip_derived_cl34, zip_derived_cl34])).
% 134.48/19.88 thf(zip_derived_cl25, plain,
% 134.48/19.88 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 134.48/19.88 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 134.48/19.88 | ((sk__7 @ X3 @ X2 @ X1 @ X0) != (sk__8 @ X3 @ X2 @ X1 @ X0)))),
% 134.48/19.88 inference('cnf', [status(esa)], [equal_maps])).
% 134.48/19.88 thf(zip_derived_cl18834, plain,
% 134.48/19.88 ((((sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12)
% 134.48/19.88 != (sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12))
% 134.48/19.88 | (equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16))),
% 134.48/19.88 inference('sup-', [status(thm)], [zip_derived_cl18831, zip_derived_cl25])).
% 134.48/19.88 thf(zip_derived_cl34, plain,
% 134.48/19.88 (~ (equal_maps @ sk__12 @ sk__13 @ sk__15 @ sk__16)),
% 134.48/19.88 inference('cnf', [status(esa)], [zf_stmt_7])).
% 134.48/19.88 thf(zip_derived_cl18841, plain,
% 134.48/19.88 (((sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12)
% 134.48/19.88 != (sk__8 @ sk__16 @ sk__15 @ sk__13 @ sk__12))),
% 134.48/19.88 inference('demod', [status(thm)], [zip_derived_cl18834, zip_derived_cl34])).
% 134.48/19.88 thf(zip_derived_cl18842, plain, ($false),
% 134.48/19.88 inference('simplify', [status(thm)], [zip_derived_cl18841])).
% 134.48/19.88
% 134.48/19.88 % SZS output end Refutation
% 134.48/19.88
% 134.48/19.88
% 134.48/19.88 % Terminating...
% 134.76/19.97 % Runner terminated.
% 134.76/20.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------