%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET720+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.oWtUYl0bSh true
% Computer : n029.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 04:52:44 PM UTC 2025
% Result : Theorem 85.09s 12.78s
% Output : Refutation 85.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SET720+4 : TPTP v9.2.0. Bugfixed v2.2.1.
% 0.05/0.11 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.oWtUYl0bSh true
% 0.10/0.32 % Computer : n029.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 13:11:38 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in FO mode
% 0.46/0.60 % Total configuration time : 435
% 0.46/0.60 % Estimated wc time : 1092
% 0.46/0.60 % Estimated cpu time (7 cpus) : 156.0
% 0.49/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.49/0.71 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 85.09/12.78 % Solved by fo/fo4.sh.
% 85.09/12.78 % done 1983 iterations in 12.031s
% 85.09/12.78 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 85.09/12.78 % SZS output start Refutation
% 85.09/12.78 thf(member_type, type, member: $i > $i > $o).
% 85.09/12.78 thf(one_to_one_type, type, one_to_one: $i > $i > $i > $o).
% 85.09/12.78 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $i > $i > $o).
% 85.09/12.78 thf(sk__7_type, type, sk__7: $i > $i > $i > $i > $i).
% 85.09/12.78 thf(sk__8_type, type, sk__8: $i).
% 85.09/12.78 thf(maps_type, type, maps: $i > $i > $i > $o).
% 85.09/12.78 thf(sk__type, type, sk_: $i > $i > $i > $i).
% 85.09/12.78 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > $i > $o).
% 85.09/12.78 thf(inverse_function_type, type, inverse_function: $i > $i > $i > $i).
% 85.09/12.78 thf(apply_type, type, apply: $i > $i > $i > $o).
% 85.09/12.78 thf(equal_maps_type, type, equal_maps: $i > $i > $i > $i > $o).
% 85.09/12.78 thf(sk__9_type, type, sk__9: $i).
% 85.09/12.78 thf(sk__6_type, type, sk__6: $i > $i > $i > $i > $i).
% 85.09/12.78 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > $i > $i > $o).
% 85.09/12.78 thf(sk__5_type, type, sk__5: $i > $i > $i > $i > $i).
% 85.09/12.78 thf(sk__10_type, type, sk__10: $i).
% 85.09/12.78 thf(equal_maps, axiom,
% 85.09/12.78 (![F:$i,G:$i,A:$i,B:$i]:
% 85.09/12.78 ( ( equal_maps @ F @ G @ A @ B ) <=>
% 85.09/12.78 ( ![X:$i,Y1:$i,Y2:$i]:
% 85.09/12.78 ( ( ( member @ X @ A ) & ( member @ Y1 @ B ) & ( member @ Y2 @ B ) ) =>
% 85.09/12.78 ( ( ( apply @ F @ X @ Y1 ) & ( apply @ G @ X @ Y2 ) ) =>
% 85.09/12.78 ( ( Y1 ) = ( Y2 ) ) ) ) ) ))).
% 85.09/12.78 thf(zip_derived_cl18, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 85.09/12.78 | (member @ (sk__6 @ X3 @ X2 @ X1 @ X0) @ X3))),
% 85.09/12.78 inference('cnf', [status(esa)], [equal_maps])).
% 85.09/12.78 thf(zip_derived_cl19, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 85.09/12.78 | (member @ (sk__5 @ X3 @ X2 @ X1 @ X0) @ X2))),
% 85.09/12.78 inference('cnf', [status(esa)], [equal_maps])).
% 85.09/12.78 thf(zip_derived_cl18, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 85.09/12.78 | (member @ (sk__6 @ X3 @ X2 @ X1 @ X0) @ X3))),
% 85.09/12.78 inference('cnf', [status(esa)], [equal_maps])).
% 85.09/12.78 thf(zip_derived_cl18, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 85.09/12.78 | (member @ (sk__6 @ X3 @ X2 @ X1 @ X0) @ X3))),
% 85.09/12.78 inference('cnf', [status(esa)], [equal_maps])).
% 85.09/12.78 thf(zip_derived_cl19, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 85.09/12.78 | (member @ (sk__5 @ X3 @ X2 @ X1 @ X0) @ X2))),
% 85.09/12.78 inference('cnf', [status(esa)], [equal_maps])).
% 85.09/12.78 thf(zip_derived_cl17, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 85.09/12.78 | (apply @ X0 @ (sk__5 @ X3 @ X2 @ X1 @ X0) @
% 85.09/12.78 (sk__6 @ X3 @ X2 @ X1 @ X0)))),
% 85.09/12.78 inference('cnf', [status(esa)], [equal_maps])).
% 85.09/12.78 thf(inverse_function, axiom,
% 85.09/12.78 (![F:$i,A:$i,B:$i,X:$i,Y:$i]:
% 85.09/12.78 ( ( ( member @ X @ A ) & ( member @ Y @ B ) ) =>
% 85.09/12.78 ( ( apply @ F @ X @ Y ) <=>
% 85.09/12.78 ( apply @ ( inverse_function @ F @ A @ B ) @ Y @ X ) ) ))).
% 85.09/12.78 thf(zip_derived_cl27, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 85.09/12.78 (~ (member @ X0 @ X1)
% 85.09/12.78 | ~ (member @ X2 @ X3)
% 85.09/12.78 | (apply @ X4 @ X0 @ X2)
% 85.09/12.78 | ~ (apply @ (inverse_function @ X4 @ X1 @ X3) @ X2 @ X0))),
% 85.09/12.78 inference('cnf', [status(esa)], [inverse_function])).
% 85.09/12.78 thf(zip_derived_cl121, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 85.09/12.78 ( (equal_maps @ (inverse_function @ X2 @ X1 @ X0) @ X3 @ X4 @ X5)
% 85.09/12.78 | (apply @ X2 @
% 85.09/12.78 (sk__6 @ X5 @ X4 @ X3 @ (inverse_function @ X2 @ X1 @ X0)) @
% 85.09/12.78 (sk__5 @ X5 @ X4 @ X3 @ (inverse_function @ X2 @ X1 @ X0)))
% 85.09/12.78 | ~ (member @
% 85.09/12.78 (sk__5 @ X5 @ X4 @ X3 @ (inverse_function @ X2 @ X1 @ X0)) @ X0)
% 85.09/12.78 | ~ (member @
% 85.09/12.78 (sk__6 @ X5 @ X4 @ X3 @ (inverse_function @ X2 @ X1 @ X0)) @ X1))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl27])).
% 85.09/12.78 thf(zip_derived_cl1046, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 85.09/12.78 ( (equal_maps @ (inverse_function @ X2 @ X1 @ X0) @ X3 @ X0 @ X4)
% 85.09/12.78 | ~ (member @
% 85.09/12.78 (sk__6 @ X4 @ X0 @ X3 @ (inverse_function @ X2 @ X1 @ X0)) @ X1)
% 85.09/12.78 | (apply @ X2 @
% 85.09/12.78 (sk__6 @ X4 @ X0 @ X3 @ (inverse_function @ X2 @ X1 @ X0)) @
% 85.09/12.78 (sk__5 @ X4 @ X0 @ X3 @ (inverse_function @ X2 @ X1 @ X0)))
% 85.09/12.78 | (equal_maps @ (inverse_function @ X2 @ X1 @ X0) @ X3 @ X0 @ X4))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl121])).
% 85.09/12.78 thf(zip_derived_cl1049, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 85.09/12.78 ( (apply @ X2 @
% 85.09/12.78 (sk__6 @ X4 @ X0 @ X3 @ (inverse_function @ X2 @ X1 @ X0)) @
% 85.09/12.78 (sk__5 @ X4 @ X0 @ X3 @ (inverse_function @ X2 @ X1 @ X0)))
% 85.09/12.78 | ~ (member @
% 85.09/12.78 (sk__6 @ X4 @ X0 @ X3 @ (inverse_function @ X2 @ X1 @ X0)) @ X1)
% 85.09/12.78 | (equal_maps @ (inverse_function @ X2 @ X1 @ X0) @ X3 @ X0 @ X4))),
% 85.09/12.78 inference('simplify', [status(thm)], [zip_derived_cl1046])).
% 85.09/12.78 thf(zip_derived_cl1078, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ (inverse_function @ X2 @ X0 @ X1) @ X3 @ X1 @ X0)
% 85.09/12.78 | (equal_maps @ (inverse_function @ X2 @ X0 @ X1) @ X3 @ X1 @ X0)
% 85.09/12.78 | (apply @ X2 @
% 85.09/12.78 (sk__6 @ X0 @ X1 @ X3 @ (inverse_function @ X2 @ X0 @ X1)) @
% 85.09/12.78 (sk__5 @ X0 @ X1 @ X3 @ (inverse_function @ X2 @ X0 @ X1))))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1049])).
% 85.09/12.78 thf(zip_derived_cl1081, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (apply @ X2 @
% 85.09/12.78 (sk__6 @ X0 @ X1 @ X3 @ (inverse_function @ X2 @ X0 @ X1)) @
% 85.09/12.78 (sk__5 @ X0 @ X1 @ X3 @ (inverse_function @ X2 @ X0 @ X1)))
% 85.09/12.78 | (equal_maps @ (inverse_function @ X2 @ X0 @ X1) @ X3 @ X1 @ X0))),
% 85.09/12.78 inference('simplify', [status(thm)], [zip_derived_cl1078])).
% 85.09/12.78 thf(zip_derived_cl27, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 85.09/12.78 (~ (member @ X0 @ X1)
% 85.09/12.78 | ~ (member @ X2 @ X3)
% 85.09/12.78 | (apply @ X4 @ X0 @ X2)
% 85.09/12.78 | ~ (apply @ (inverse_function @ X4 @ X1 @ X3) @ X2 @ X0))),
% 85.09/12.78 inference('cnf', [status(esa)], [inverse_function])).
% 85.09/12.78 thf(zip_derived_cl1085, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 85.09/12.78 ( (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ X4 @ X3 @ X2) @ X1 @ X0) @
% 85.09/12.78 X5 @ X0 @ X1)
% 85.09/12.78 | (apply @ X4 @
% 85.09/12.78 (sk__5 @ X1 @ X0 @ X5 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X4 @ X3 @ X2) @ X1 @ X0)) @
% 85.09/12.78 (sk__6 @ X1 @ X0 @ X5 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X4 @ X3 @ X2) @ X1 @ X0)))
% 85.09/12.78 | ~ (member @
% 85.09/12.78 (sk__6 @ X1 @ X0 @ X5 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X4 @ X3 @ X2) @ X1 @ X0)) @
% 85.09/12.78 X2)
% 85.09/12.78 | ~ (member @
% 85.09/12.78 (sk__5 @ X1 @ X0 @ X5 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X4 @ X3 @ X2) @ X1 @ X0)) @
% 85.09/12.78 X3))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl1081, zip_derived_cl27])).
% 85.09/12.78 thf(zip_derived_cl16405, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 85.09/12.78 ( (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ X3 @ X2 @ X0) @ X0 @ X1) @
% 85.09/12.78 X4 @ X1 @ X0)
% 85.09/12.78 | ~ (member @
% 85.09/12.78 (sk__5 @ X0 @ X1 @ X4 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X3 @ X2 @ X0) @ X0 @ X1)) @
% 85.09/12.78 X2)
% 85.09/12.78 | (apply @ X3 @
% 85.09/12.78 (sk__5 @ X0 @ X1 @ X4 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X3 @ X2 @ X0) @ X0 @ X1)) @
% 85.09/12.78 (sk__6 @ X0 @ X1 @ X4 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X3 @ X2 @ X0) @ X0 @ X1)))
% 85.09/12.78 | (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ X3 @ X2 @ X0) @ X0 @ X1) @
% 85.09/12.78 X4 @ X1 @ X0))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl1085])).
% 85.09/12.78 thf(zip_derived_cl16409, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 85.09/12.78 ( (apply @ X3 @
% 85.09/12.78 (sk__5 @ X0 @ X1 @ X4 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X3 @ X2 @ X0) @ X0 @ X1)) @
% 85.09/12.78 (sk__6 @ X0 @ X1 @ X4 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X3 @ X2 @ X0) @ X0 @ X1)))
% 85.09/12.78 | ~ (member @
% 85.09/12.78 (sk__5 @ X0 @ X1 @ X4 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X3 @ X2 @ X0) @ X0 @ X1)) @
% 85.09/12.78 X2)
% 85.09/12.78 | (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ X3 @ X2 @ X0) @ X0 @ X1) @
% 85.09/12.78 X4 @ X1 @ X0))),
% 85.09/12.78 inference('simplify', [status(thm)], [zip_derived_cl16405])).
% 85.09/12.78 thf(zip_derived_cl16410, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ X2 @ X0 @ X1) @ X1 @ X0) @
% 85.09/12.78 X3 @ X0 @ X1)
% 85.09/12.78 | (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ X2 @ X0 @ X1) @ X1 @ X0) @
% 85.09/12.78 X3 @ X0 @ X1)
% 85.09/12.78 | (apply @ X2 @
% 85.09/12.78 (sk__5 @ X1 @ X0 @ X3 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X2 @ X0 @ X1) @ X1 @ X0)) @
% 85.09/12.78 (sk__6 @ X1 @ X0 @ X3 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X2 @ X0 @ X1) @ X1 @ X0))))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl16409])).
% 85.09/12.78 thf(zip_derived_cl16414, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (apply @ X2 @
% 85.09/12.78 (sk__5 @ X1 @ X0 @ X3 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X2 @ X0 @ X1) @ X1 @ X0)) @
% 85.09/12.78 (sk__6 @ X1 @ X0 @ X3 @
% 85.09/12.78 (inverse_function @ (inverse_function @ X2 @ X0 @ X1) @ X1 @ X0)))
% 85.09/12.78 | (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ X2 @ X0 @ X1) @ X1 @ X0) @
% 85.09/12.78 X3 @ X0 @ X1))),
% 85.09/12.78 inference('simplify', [status(thm)], [zip_derived_cl16410])).
% 85.09/12.78 thf(zip_derived_cl19, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 85.09/12.78 | (member @ (sk__5 @ X3 @ X2 @ X1 @ X0) @ X2))),
% 85.09/12.78 inference('cnf', [status(esa)], [equal_maps])).
% 85.09/12.78 thf(zip_derived_cl20, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 85.09/12.78 | (member @ (sk__7 @ X3 @ X2 @ X1 @ X0) @ X3))),
% 85.09/12.78 inference('cnf', [status(esa)], [equal_maps])).
% 85.09/12.78 thf(zip_derived_cl22, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 85.09/12.78 | (apply @ X1 @ (sk__5 @ X3 @ X2 @ X1 @ X0) @
% 85.09/12.78 (sk__7 @ X3 @ X2 @ X1 @ X0)))),
% 85.09/12.78 inference('cnf', [status(esa)], [equal_maps])).
% 85.09/12.78 thf(maps, axiom,
% 85.09/12.78 (![F:$i,A:$i,B:$i]:
% 85.09/12.78 ( ( maps @ F @ A @ B ) <=>
% 85.09/12.78 ( ( ![X:$i,Y1:$i,Y2:$i]:
% 85.09/12.78 ( ( ( member @ Y2 @ B ) & ( member @ Y1 @ B ) & ( member @ X @ A ) ) =>
% 85.09/12.78 ( ( ( apply @ F @ X @ Y2 ) & ( apply @ F @ X @ Y1 ) ) =>
% 85.09/12.78 ( ( Y1 ) = ( Y2 ) ) ) ) ) &
% 85.09/12.78 ( ![X:$i]:
% 85.09/12.78 ( ( member @ X @ A ) =>
% 85.09/12.78 ( ?[Y:$i]: ( ( member @ Y @ B ) & ( apply @ F @ X @ Y ) ) ) ) ) ) ))).
% 85.09/12.78 thf(zf_stmt_0, type, zip_tseitin_2 : $i > $i > $i > $i > $o).
% 85.09/12.78 thf(zf_stmt_1, axiom,
% 85.09/12.78 (![X:$i,B:$i,A:$i,F:$i]:
% 85.09/12.78 ( ( zip_tseitin_2 @ X @ B @ A @ F ) <=>
% 85.09/12.78 ( ( member @ X @ A ) =>
% 85.09/12.78 ( ?[Y:$i]: ( ( apply @ F @ X @ Y ) & ( member @ Y @ B ) ) ) ) ))).
% 85.09/12.78 thf(zf_stmt_2, type, zip_tseitin_1 : $i > $i > $i > $i > $o).
% 85.09/12.78 thf(zf_stmt_3, axiom,
% 85.09/12.78 (![Y2:$i,Y1:$i,X:$i,F:$i]:
% 85.09/12.78 ( ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) <=>
% 85.09/12.78 ( ( ( apply @ F @ X @ Y1 ) & ( apply @ F @ X @ Y2 ) ) =>
% 85.09/12.78 ( ( Y1 ) = ( Y2 ) ) ) ))).
% 85.09/12.78 thf(zf_stmt_4, type, zip_tseitin_0 : $i > $i > $i > $i > $i > $o).
% 85.09/12.78 thf(zf_stmt_5, axiom,
% 85.09/12.78 (![Y2:$i,Y1:$i,X:$i,B:$i,A:$i]:
% 85.09/12.78 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) <=>
% 85.09/12.78 ( ( member @ X @ A ) & ( member @ Y1 @ B ) & ( member @ Y2 @ B ) ) ))).
% 85.09/12.78 thf(zf_stmt_6, axiom,
% 85.09/12.78 (![F:$i,A:$i,B:$i]:
% 85.09/12.78 ( ( maps @ F @ A @ B ) <=>
% 85.09/12.78 ( ( ![X:$i]: ( zip_tseitin_2 @ X @ B @ A @ F ) ) &
% 85.09/12.78 ( ![X:$i,Y1:$i,Y2:$i]:
% 85.09/12.78 ( ( zip_tseitin_0 @ Y2 @ Y1 @ X @ B @ A ) =>
% 85.09/12.78 ( zip_tseitin_1 @ Y2 @ Y1 @ X @ F ) ) ) ) ))).
% 85.09/12.78 thf(zip_derived_cl12, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (zip_tseitin_2 @ X0 @ X1 @ X2 @ X3) | ~ (maps @ X3 @ X2 @ X1))),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_6])).
% 85.09/12.78 thf(thII11, conjecture,
% 85.09/12.78 (![F:$i,A:$i,B:$i]:
% 85.09/12.78 ( ( ( maps @ F @ A @ B ) & ( one_to_one @ F @ A @ B ) ) =>
% 85.09/12.78 ( equal_maps @
% 85.09/12.78 ( inverse_function @ ( inverse_function @ F @ A @ B ) @ B @ A ) @ F @
% 85.09/12.78 A @ B ) ))).
% 85.09/12.78 thf(zf_stmt_7, negated_conjecture,
% 85.09/12.78 (~( ![F:$i,A:$i,B:$i]:
% 85.09/12.78 ( ( ( maps @ F @ A @ B ) & ( one_to_one @ F @ A @ B ) ) =>
% 85.09/12.78 ( equal_maps @
% 85.09/12.78 ( inverse_function @ ( inverse_function @ F @ A @ B ) @ B @ A ) @
% 85.09/12.78 F @ A @ B ) ) )),
% 85.09/12.78 inference('cnf.neg', [status(esa)], [thII11])).
% 85.09/12.78 thf(zip_derived_cl28, plain, ( (maps @ sk__8 @ sk__9 @ sk__10)),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 85.09/12.78 thf(zip_derived_cl37, plain,
% 85.09/12.78 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__10 @ sk__9 @ sk__8)),
% 85.09/12.78 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl28])).
% 85.09/12.78 thf(zip_derived_cl9, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 (~ (member @ X0 @ X1)
% 85.09/12.78 | (apply @ X2 @ X0 @ (sk_ @ X2 @ X3 @ X0))
% 85.09/12.78 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 85.09/12.78 thf(zip_derived_cl49, plain,
% 85.09/12.78 (![X0 : $i]:
% 85.09/12.78 ( (apply @ sk__8 @ X0 @ (sk_ @ sk__8 @ sk__10 @ X0))
% 85.09/12.78 | ~ (member @ X0 @ sk__9))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl9])).
% 85.09/12.78 thf(zip_derived_cl28, plain, ( (maps @ sk__8 @ sk__9 @ sk__10)),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 85.09/12.78 thf(zip_derived_cl3, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 85.09/12.78 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 85.09/12.78 | ~ (member @ X0 @ X3)
% 85.09/12.78 | ~ (member @ X1 @ X3)
% 85.09/12.78 | ~ (member @ X2 @ X4))),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_5])).
% 85.09/12.78 thf(zip_derived_cl13, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 85.09/12.78 (~ (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 85.09/12.78 | (zip_tseitin_1 @ X0 @ X1 @ X2 @ X5)
% 85.09/12.78 | ~ (maps @ X5 @ X4 @ X3))),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_6])).
% 85.09/12.78 thf(zip_derived_cl45, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 85.09/12.78 (~ (member @ X2 @ X0)
% 85.09/12.78 | ~ (member @ X3 @ X1)
% 85.09/12.78 | ~ (member @ X4 @ X1)
% 85.09/12.78 | ~ (maps @ X5 @ X0 @ X1)
% 85.09/12.78 | (zip_tseitin_1 @ X4 @ X3 @ X2 @ X5))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl13])).
% 85.09/12.78 thf(zip_derived_cl46, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.09/12.78 ( (zip_tseitin_1 @ X2 @ X1 @ X0 @ sk__8)
% 85.09/12.78 | ~ (member @ X2 @ sk__10)
% 85.09/12.78 | ~ (member @ X1 @ sk__10)
% 85.09/12.78 | ~ (member @ X0 @ sk__9))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl45])).
% 85.09/12.78 thf(zip_derived_cl4, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 (~ (apply @ X0 @ X1 @ X2)
% 85.09/12.78 | ~ (apply @ X0 @ X1 @ X3)
% 85.09/12.78 | ((X2) = (X3))
% 85.09/12.78 | ~ (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0))),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_3])).
% 85.09/12.78 thf(zip_derived_cl50, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.09/12.78 (~ (member @ X0 @ sk__9)
% 85.09/12.78 | ~ (member @ X1 @ sk__10)
% 85.09/12.78 | ~ (member @ X2 @ sk__10)
% 85.09/12.78 | ((X1) = (X2))
% 85.09/12.78 | ~ (apply @ sk__8 @ X0 @ X2)
% 85.09/12.78 | ~ (apply @ sk__8 @ X0 @ X1))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl46, zip_derived_cl4])).
% 85.09/12.78 thf(zip_derived_cl65, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i]:
% 85.09/12.78 (~ (member @ X0 @ sk__9)
% 85.09/12.78 | ~ (apply @ sk__8 @ X0 @ X1)
% 85.09/12.78 | ((X1) = (sk_ @ sk__8 @ sk__10 @ X0))
% 85.09/12.78 | ~ (member @ (sk_ @ sk__8 @ sk__10 @ X0) @ sk__10)
% 85.09/12.78 | ~ (member @ X1 @ sk__10)
% 85.09/12.78 | ~ (member @ X0 @ sk__9))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl49, zip_derived_cl50])).
% 85.09/12.78 thf(zip_derived_cl66, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i]:
% 85.09/12.78 (~ (member @ X1 @ sk__10)
% 85.09/12.78 | ~ (member @ (sk_ @ sk__8 @ sk__10 @ X0) @ sk__10)
% 85.09/12.78 | ((X1) = (sk_ @ sk__8 @ sk__10 @ X0))
% 85.09/12.78 | ~ (apply @ sk__8 @ X0 @ X1)
% 85.09/12.78 | ~ (member @ X0 @ sk__9))),
% 85.09/12.78 inference('simplify', [status(thm)], [zip_derived_cl65])).
% 85.09/12.78 thf(zip_derived_cl37, plain,
% 85.09/12.78 (![X0 : $i]: (zip_tseitin_2 @ X0 @ sk__10 @ sk__9 @ sk__8)),
% 85.09/12.78 inference('sup+', [status(thm)], [zip_derived_cl12, zip_derived_cl28])).
% 85.09/12.78 thf(zip_derived_cl8, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 (~ (member @ X0 @ X1)
% 85.09/12.78 | (member @ (sk_ @ X2 @ X3 @ X0) @ X3)
% 85.09/12.78 | ~ (zip_tseitin_2 @ X0 @ X3 @ X1 @ X2))),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_1])).
% 85.09/12.78 thf(zip_derived_cl43, plain,
% 85.09/12.78 (![X0 : $i]:
% 85.09/12.78 ( (member @ (sk_ @ sk__8 @ sk__10 @ X0) @ sk__10)
% 85.09/12.78 | ~ (member @ X0 @ sk__9))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl37, zip_derived_cl8])).
% 85.09/12.78 thf(zip_derived_cl165, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i]:
% 85.09/12.78 (~ (member @ X0 @ sk__9)
% 85.09/12.78 | ~ (apply @ sk__8 @ X0 @ X1)
% 85.09/12.78 | ((X1) = (sk_ @ sk__8 @ sk__10 @ X0))
% 85.09/12.78 | ~ (member @ X1 @ sk__10))),
% 85.09/12.78 inference('clc', [status(thm)], [zip_derived_cl66, zip_derived_cl43])).
% 85.09/12.78 thf(zip_derived_cl220, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ sk__8 @ X1 @ X2)
% 85.09/12.78 | ~ (member @ (sk__7 @ X2 @ X1 @ sk__8 @ X0) @ sk__10)
% 85.09/12.78 | ((sk__7 @ X2 @ X1 @ sk__8 @ X0)
% 85.09/12.78 = (sk_ @ sk__8 @ sk__10 @ (sk__5 @ X2 @ X1 @ sk__8 @ X0)))
% 85.09/12.78 | ~ (member @ (sk__5 @ X2 @ X1 @ sk__8 @ X0) @ sk__9))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl165])).
% 85.09/12.78 thf(zip_derived_cl1796, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ sk__8 @ X1 @ sk__10)
% 85.09/12.78 | ~ (member @ (sk__5 @ sk__10 @ X1 @ sk__8 @ X0) @ sk__9)
% 85.09/12.78 | ((sk__7 @ sk__10 @ X1 @ sk__8 @ X0)
% 85.09/12.78 = (sk_ @ sk__8 @ sk__10 @ (sk__5 @ sk__10 @ X1 @ sk__8 @ X0)))
% 85.09/12.78 | (equal_maps @ X0 @ sk__8 @ X1 @ sk__10))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl20, zip_derived_cl220])).
% 85.09/12.78 thf(zip_derived_cl1798, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i]:
% 85.09/12.78 (((sk__7 @ sk__10 @ X1 @ sk__8 @ X0)
% 85.09/12.78 = (sk_ @ sk__8 @ sk__10 @ (sk__5 @ sk__10 @ X1 @ sk__8 @ X0)))
% 85.09/12.78 | ~ (member @ (sk__5 @ sk__10 @ X1 @ sk__8 @ X0) @ sk__9)
% 85.09/12.78 | (equal_maps @ X0 @ sk__8 @ X1 @ sk__10))),
% 85.09/12.78 inference('simplify', [status(thm)], [zip_derived_cl1796])).
% 85.09/12.78 thf(zip_derived_cl1800, plain,
% 85.09/12.78 (![X0 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ sk__8 @ sk__9 @ sk__10)
% 85.09/12.78 | (equal_maps @ X0 @ sk__8 @ sk__9 @ sk__10)
% 85.09/12.78 | ((sk__7 @ sk__10 @ sk__9 @ sk__8 @ X0)
% 85.09/12.78 = (sk_ @ sk__8 @ sk__10 @ (sk__5 @ sk__10 @ sk__9 @ sk__8 @ X0))))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl19, zip_derived_cl1798])).
% 85.09/12.78 thf(zip_derived_cl1802, plain,
% 85.09/12.78 (![X0 : $i]:
% 85.09/12.78 (((sk__7 @ sk__10 @ sk__9 @ sk__8 @ X0)
% 85.09/12.78 = (sk_ @ sk__8 @ sk__10 @ (sk__5 @ sk__10 @ sk__9 @ sk__8 @ X0)))
% 85.09/12.78 | (equal_maps @ X0 @ sk__8 @ sk__9 @ sk__10))),
% 85.09/12.78 inference('simplify', [status(thm)], [zip_derived_cl1800])).
% 85.09/12.78 thf(zip_derived_cl165, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i]:
% 85.09/12.78 (~ (member @ X0 @ sk__9)
% 85.09/12.78 | ~ (apply @ sk__8 @ X0 @ X1)
% 85.09/12.78 | ((X1) = (sk_ @ sk__8 @ sk__10 @ X0))
% 85.09/12.78 | ~ (member @ X1 @ sk__10))),
% 85.09/12.78 inference('clc', [status(thm)], [zip_derived_cl66, zip_derived_cl43])).
% 85.09/12.78 thf(zip_derived_cl1835, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i]:
% 85.09/12.78 (((X1) = (sk__7 @ sk__10 @ sk__9 @ sk__8 @ X0))
% 85.09/12.78 | (equal_maps @ X0 @ sk__8 @ sk__9 @ sk__10)
% 85.09/12.78 | ~ (member @ X1 @ sk__10)
% 85.09/12.78 | ~ (apply @ sk__8 @ (sk__5 @ sk__10 @ sk__9 @ sk__8 @ X0) @ X1)
% 85.09/12.78 | ~ (member @ (sk__5 @ sk__10 @ sk__9 @ sk__8 @ X0) @ sk__9))),
% 85.09/12.78 inference('sup+', [status(thm)], [zip_derived_cl1802, zip_derived_cl165])).
% 85.09/12.78 thf(zip_derived_cl19, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 85.09/12.78 | (member @ (sk__5 @ X3 @ X2 @ X1 @ X0) @ X2))),
% 85.09/12.78 inference('cnf', [status(esa)], [equal_maps])).
% 85.09/12.78 thf(zip_derived_cl1982, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i]:
% 85.09/12.78 (~ (apply @ sk__8 @ (sk__5 @ sk__10 @ sk__9 @ sk__8 @ X0) @ X1)
% 85.09/12.78 | ~ (member @ X1 @ sk__10)
% 85.09/12.78 | (equal_maps @ X0 @ sk__8 @ sk__9 @ sk__10)
% 85.09/12.78 | ((X1) = (sk__7 @ sk__10 @ sk__9 @ sk__8 @ X0)))),
% 85.09/12.78 inference('clc', [status(thm)], [zip_derived_cl1835, zip_derived_cl19])).
% 85.09/12.78 thf(zip_derived_cl16447, plain,
% 85.09/12.78 (( (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9) @
% 85.09/12.78 sk__8 @ sk__9 @ sk__10)
% 85.09/12.78 | ((sk__6 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9))
% 85.09/12.78 = (sk__7 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @
% 85.09/12.78 (inverse_function @ sk__8 @ sk__9 @ sk__10) @ sk__10 @ sk__9)))
% 85.09/12.78 | (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9) @
% 85.09/12.78 sk__8 @ sk__9 @ sk__10)
% 85.09/12.78 | ~ (member @
% 85.09/12.78 (sk__6 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @
% 85.09/12.78 (inverse_function @ sk__8 @ sk__9 @ sk__10) @ sk__10 @ sk__9)) @
% 85.09/12.78 sk__10))),
% 85.09/12.78 inference('sup-', [status(thm)],
% 85.09/12.78 [zip_derived_cl16414, zip_derived_cl1982])).
% 85.09/12.78 thf(zip_derived_cl30, plain,
% 85.09/12.78 (~ (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9) @
% 85.09/12.78 sk__8 @ sk__9 @ sk__10)),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 85.09/12.78 thf(zip_derived_cl30, plain,
% 85.09/12.78 (~ (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9) @
% 85.09/12.78 sk__8 @ sk__9 @ sk__10)),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 85.09/12.78 thf(zip_derived_cl16473, plain,
% 85.09/12.78 ((((sk__6 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9))
% 85.09/12.78 = (sk__7 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9)))
% 85.09/12.78 | ~ (member @
% 85.09/12.78 (sk__6 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @
% 85.09/12.78 (inverse_function @ sk__8 @ sk__9 @ sk__10) @ sk__10 @ sk__9)) @
% 85.09/12.78 sk__10))),
% 85.09/12.78 inference('demod', [status(thm)],
% 85.09/12.78 [zip_derived_cl16447, zip_derived_cl30, zip_derived_cl30])).
% 85.09/12.78 thf(zip_derived_cl16525, plain,
% 85.09/12.78 (( (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9) @
% 85.09/12.78 sk__8 @ sk__9 @ sk__10)
% 85.09/12.78 | ((sk__6 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9))
% 85.09/12.78 = (sk__7 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @
% 85.09/12.78 (inverse_function @ sk__8 @ sk__9 @ sk__10) @ sk__10 @ sk__9))))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl18, zip_derived_cl16473])).
% 85.09/12.78 thf(zip_derived_cl30, plain,
% 85.09/12.78 (~ (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9) @
% 85.09/12.78 sk__8 @ sk__9 @ sk__10)),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 85.09/12.78 thf(zip_derived_cl16528, plain,
% 85.09/12.78 (((sk__6 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9))
% 85.09/12.78 = (sk__7 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9)))),
% 85.09/12.78 inference('demod', [status(thm)], [zip_derived_cl16525, zip_derived_cl30])).
% 85.09/12.78 thf(zip_derived_cl21, plain,
% 85.09/12.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 85.09/12.78 ( (equal_maps @ X0 @ X1 @ X2 @ X3)
% 85.09/12.78 | ((sk__6 @ X3 @ X2 @ X1 @ X0) != (sk__7 @ X3 @ X2 @ X1 @ X0)))),
% 85.09/12.78 inference('cnf', [status(esa)], [equal_maps])).
% 85.09/12.78 thf(zip_derived_cl16533, plain,
% 85.09/12.78 ((((sk__7 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9))
% 85.09/12.78 != (sk__7 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @
% 85.09/12.78 (inverse_function @ sk__8 @ sk__9 @ sk__10) @ sk__10 @ sk__9)))
% 85.09/12.78 | (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9) @
% 85.09/12.78 sk__8 @ sk__9 @ sk__10))),
% 85.09/12.78 inference('sup-', [status(thm)], [zip_derived_cl16528, zip_derived_cl21])).
% 85.09/12.78 thf(zip_derived_cl30, plain,
% 85.09/12.78 (~ (equal_maps @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9) @
% 85.09/12.78 sk__8 @ sk__9 @ sk__10)),
% 85.09/12.78 inference('cnf', [status(esa)], [zf_stmt_7])).
% 85.09/12.78 thf(zip_derived_cl16574, plain,
% 85.09/12.78 (((sk__7 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9))
% 85.09/12.78 != (sk__7 @ sk__10 @ sk__9 @ sk__8 @
% 85.09/12.78 (inverse_function @ (inverse_function @ sk__8 @ sk__9 @ sk__10) @
% 85.09/12.78 sk__10 @ sk__9)))),
% 85.09/12.78 inference('demod', [status(thm)], [zip_derived_cl16533, zip_derived_cl30])).
% 85.09/12.78 thf(zip_derived_cl16575, plain, ($false),
% 85.09/12.78 inference('simplify', [status(thm)], [zip_derived_cl16574])).
% 85.09/12.78
% 85.09/12.78 % SZS output end Refutation
% 85.09/12.78
% 85.09/12.78
% 85.09/12.78 % Terminating...
% 85.50/12.84 % Runner terminated.
% 85.50/12.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------