%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO634-1 : TPTP v9.2.0. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.x0oU0xNXcX true
% Computer : n005.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 05:08:03 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.78s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO634-1 : TPTP v9.2.0. Released v7.1.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.x0oU0xNXcX true
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 18:01:38 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.55/0.64 % Total configuration time : 435
% 0.55/0.64 % Estimated wc time : 1092
% 0.55/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.72 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.78 % Solved by fo/fo3_bce.sh.
% 0.58/0.78 % BCE start: 23
% 0.58/0.78 % BCE eliminated: 11
% 0.58/0.78 % PE start: 12
% 0.58/0.78 logic: neq
% 0.58/0.78 % PE eliminated: 0
% 0.58/0.78 % done 23 iterations in 0.037s
% 0.58/0.78 % SZS status Unsatisfiable for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.78 % SZS output start Refutation
% 0.58/0.78 thf(0_type, type, 0: $i).
% 0.58/0.78 thf(s_type, type, s: $i > $i).
% 0.58/0.78 thf(f_type, type, f: $i > $i).
% 0.58/0.78 thf(E_type, type, E: $i > $i > $o).
% 0.58/0.78 thf(AP_type, type, AP: $i > $i > $i).
% 0.58/0.78 thf(clause_9_12, axiom,
% 0.58/0.78 (( ~( E @
% 0.58/0.78 ( f @ A_1 ) @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @ ( f @ A_4 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @
% 0.58/0.78 ( f @ B_0 ) @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @
% 0.58/0.78 ( f @ A_2 ) @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @
% 0.58/0.78 ( f @ A_0 ) @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @ ( f @ A_3 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( E @
% 0.58/0.78 ( f @
% 0.58/0.78 ( AP @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) @
% 0.58/0.78 K ) ) @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ))).
% 0.58/0.78 thf(zip_derived_cl11, plain,
% 0.58/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.58/0.78 (~ (E @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 0.58/0.78 | ~ (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 0.58/0.78 | ~ (E @ (f @ X2) @
% 0.58/0.78 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 0.58/0.78 | ~ (E @ (f @ X3) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 0.58/0.78 | ~ (E @ (f @ X4) @
% 0.58/0.78 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 0.58/0.78 | ~ (E @ (f @ X5) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 0.58/0.78 | (E @
% 0.58/0.78 (f @
% 0.58/0.78 (AP @
% 0.58/0.78 (s @
% 0.58/0.78 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.78 X6)) @
% 0.58/0.78 (s @ (s @ (s @ (s @ 0))))))),
% 0.58/0.78 inference('cnf', [status(esa)], [clause_9_12])).
% 0.58/0.78 thf(clause_21_01, axiom,
% 0.58/0.78 (( ~( E @
% 0.58/0.78 ( f @ A_0 ) @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @
% 0.58/0.78 ( f @ B_0 ) @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( E @
% 0.58/0.78 ( f @ B_0 ) @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ))).
% 0.58/0.78 thf(zip_derived_cl0, plain,
% 0.58/0.78 (![X0 : $i, X1 : $i]:
% 0.58/0.78 (~ (E @ (f @ X0) @
% 0.58/0.78 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 0.58/0.78 | ~ (E @ (f @ X1) @
% 0.58/0.78 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 0.58/0.78 | (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 0.58/0.78 inference('cnf', [status(esa)], [clause_21_01])).
% 0.58/0.78 thf(clause_17_09, axiom,
% 0.58/0.78 (E @
% 0.58/0.78 ( f @ B_0 ) @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ))).
% 0.58/0.78 thf(zip_derived_cl8, plain,
% 0.58/0.78 (![X0 : $i]:
% 0.58/0.78 (E @ (f @ X0) @
% 0.58/0.78 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 0.58/0.78 inference('cnf', [status(esa)], [clause_17_09])).
% 0.58/0.78 thf(clause_11_03, axiom,
% 0.58/0.78 (E @
% 0.58/0.78 ( f @ B ) @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ))).
% 0.58/0.78 thf(zip_derived_cl2, plain,
% 0.58/0.78 (![X0 : $i]:
% 0.58/0.78 (E @ (f @ X0) @
% 0.58/0.78 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 0.58/0.78 inference('cnf', [status(esa)], [clause_11_03])).
% 0.58/0.78 thf(zip_derived_cl23, plain,
% 0.58/0.78 (![X1 : $i]:
% 0.58/0.78 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 0.58/0.78 inference('demod', [status(thm)],
% 0.58/0.78 [zip_derived_cl0, zip_derived_cl8, zip_derived_cl2])).
% 0.58/0.78 thf(clause_15_20, axiom,
% 0.58/0.78 (( ~( E @
% 0.58/0.78 ( f @ A_1 ) @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @
% 0.58/0.78 ( f @ B_0 ) @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @
% 0.58/0.78 ( f @ A_2 ) @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @
% 0.58/0.78 ( f @ A_0 ) @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @ ( f @ A_3 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( E @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ))).
% 0.58/0.78 thf(zip_derived_cl19, plain,
% 0.58/0.78 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.78 (~ (E @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 0.58/0.78 | ~ (E @ (f @ X1) @
% 0.58/0.78 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 0.58/0.78 | ~ (E @ (f @ X2) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 0.58/0.78 | ~ (E @ (f @ X3) @
% 0.58/0.78 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 0.58/0.78 | ~ (E @ (f @ X4) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 0.58/0.78 | (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 0.58/0.78 inference('cnf', [status(esa)], [clause_15_20])).
% 0.58/0.78 thf(zip_derived_cl23, plain,
% 0.58/0.78 (![X1 : $i]:
% 0.58/0.78 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 0.58/0.78 inference('demod', [status(thm)],
% 0.58/0.78 [zip_derived_cl0, zip_derived_cl8, zip_derived_cl2])).
% 0.58/0.78 thf(zip_derived_cl2, plain,
% 0.58/0.78 (![X0 : $i]:
% 0.58/0.78 (E @ (f @ X0) @
% 0.58/0.78 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 0.58/0.78 inference('cnf', [status(esa)], [clause_11_03])).
% 0.58/0.78 thf(clause_12_14, axiom,
% 0.58/0.78 (( ~( E @
% 0.58/0.78 ( f @ A_0 ) @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @
% 0.58/0.78 ( f @ B_0 ) @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( ~( E @
% 0.58/0.78 ( f @ A_1 ) @
% 0.58/0.78 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.78 ( E @
% 0.58/0.78 ( f @ B_0 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ))).
% 0.58/0.79 thf(zip_derived_cl13, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.79 (~ (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 0.58/0.79 | ~ (E @ (f @ X1) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 0.58/0.79 | ~ (E @ (f @ X2) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 0.58/0.79 | (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_12_14])).
% 0.58/0.79 thf(zip_derived_cl8, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_17_09])).
% 0.58/0.79 thf(zip_derived_cl2, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_11_03])).
% 0.58/0.79 thf(zip_derived_cl23, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl0, zip_derived_cl8, zip_derived_cl2])).
% 0.58/0.79 thf(zip_derived_cl24, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl13, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23])).
% 0.58/0.79 thf(zip_derived_cl8, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_17_09])).
% 0.58/0.79 thf(clause_1_06, axiom,
% 0.58/0.79 (( ~( E @
% 0.58/0.79 ( f @ A_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ B_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_1 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_2 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( E @ ( f @ B_0 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ))).
% 0.58/0.79 thf(zip_derived_cl5, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.79 (~ (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 0.58/0.79 | ~ (E @ (f @ X1) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 0.58/0.79 | ~ (E @ (f @ X2) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 0.58/0.79 | ~ (E @ (f @ X3) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 0.58/0.79 | (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_1_06])).
% 0.58/0.79 thf(zip_derived_cl8, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_17_09])).
% 0.58/0.79 thf(zip_derived_cl2, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_11_03])).
% 0.58/0.79 thf(zip_derived_cl23, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl0, zip_derived_cl8, zip_derived_cl2])).
% 0.58/0.79 thf(zip_derived_cl24, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl13, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23])).
% 0.58/0.79 thf(zip_derived_cl25, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl5, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23, zip_derived_cl24])).
% 0.58/0.79 thf(zip_derived_cl27, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl19, zip_derived_cl23, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl24, zip_derived_cl8, zip_derived_cl25])).
% 0.58/0.79 thf(zip_derived_cl2, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_11_03])).
% 0.58/0.79 thf(zip_derived_cl24, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl13, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23])).
% 0.58/0.79 thf(zip_derived_cl8, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_17_09])).
% 0.58/0.79 thf(zip_derived_cl25, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl5, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23, zip_derived_cl24])).
% 0.58/0.79 thf(zip_derived_cl30, plain,
% 0.58/0.79 (![X6 : $i]:
% 0.58/0.79 (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X6)) @
% 0.58/0.79 (s @ (s @ (s @ (s @ 0)))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl11, zip_derived_cl23, zip_derived_cl27,
% 0.58/0.79 zip_derived_cl2, zip_derived_cl24, zip_derived_cl8,
% 0.58/0.79 zip_derived_cl25])).
% 0.58/0.79 thf(clause_18_15, axiom,
% 0.58/0.79 (( ~( E @
% 0.58/0.79 ( f @ A_1 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_4 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ B_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_5 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_2 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_3 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( E @
% 0.58/0.79 ( f @
% 0.58/0.79 ( AP @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) @
% 0.58/0.79 K ) ) @
% 0.58/0.79 ( s @ ( s @ ( s @ 0 ) ) ) ))).
% 0.58/0.79 thf(zip_derived_cl14, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i, X7 : $i]:
% 0.58/0.79 (~ (E @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 0.58/0.79 | ~ (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 0.58/0.79 | ~ (E @ (f @ X2) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 0.58/0.79 | ~ (E @ (f @ X3) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | ~ (E @ (f @ X4) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 0.58/0.79 | ~ (E @ (f @ X5) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 0.58/0.79 | ~ (E @ (f @ X6) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 0.58/0.79 | (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X7)) @
% 0.58/0.79 (s @ (s @ (s @ 0)))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_18_15])).
% 0.58/0.79 thf(zip_derived_cl23, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl0, zip_derived_cl8, zip_derived_cl2])).
% 0.58/0.79 thf(zip_derived_cl27, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl19, zip_derived_cl23, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl24, zip_derived_cl8, zip_derived_cl25])).
% 0.58/0.79 thf(zip_derived_cl2, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_11_03])).
% 0.58/0.79 thf(zip_derived_cl24, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl13, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23])).
% 0.58/0.79 thf(zip_derived_cl8, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_17_09])).
% 0.58/0.79 thf(zip_derived_cl25, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl5, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23, zip_derived_cl24])).
% 0.58/0.79 thf(zip_derived_cl33, plain,
% 0.58/0.79 (![X3 : $i, X7 : $i]:
% 0.58/0.79 (~ (E @ (f @ X3) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X7)) @
% 0.58/0.79 (s @ (s @ (s @ 0)))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl14, zip_derived_cl23, zip_derived_cl27,
% 0.58/0.79 zip_derived_cl2, zip_derived_cl24, zip_derived_cl8,
% 0.58/0.79 zip_derived_cl25])).
% 0.58/0.79 thf(zip_derived_cl34, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X1)) @
% 0.58/0.79 (s @ (s @ (s @ 0))))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl33])).
% 0.58/0.79 thf(zip_derived_cl30, plain,
% 0.58/0.79 (![X6 : $i]:
% 0.58/0.79 (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X6)) @
% 0.58/0.79 (s @ (s @ (s @ (s @ 0)))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl11, zip_derived_cl23, zip_derived_cl27,
% 0.58/0.79 zip_derived_cl2, zip_derived_cl24, zip_derived_cl8,
% 0.58/0.79 zip_derived_cl25])).
% 0.58/0.79 thf(clause_0_19, axiom,
% 0.58/0.79 (( ~( E @
% 0.58/0.79 ( f @ A_1 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_4 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ B_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_5 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_2 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_6 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_3 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( E @
% 0.58/0.79 ( f @
% 0.58/0.79 ( AP @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) @
% 0.58/0.79 K ) ) @
% 0.58/0.79 ( s @ ( s @ 0 ) ) ))).
% 0.58/0.79 thf(zip_derived_cl18, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.58/0.79 X7 : $i, X8 : $i]:
% 0.58/0.79 (~ (E @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 0.58/0.79 | ~ (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 0.58/0.79 | ~ (E @ (f @ X2) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 0.58/0.79 | ~ (E @ (f @ X3) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | ~ (E @ (f @ X4) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 0.58/0.79 | ~ (E @ (f @ X5) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | ~ (E @ (f @ X6) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 0.58/0.79 | ~ (E @ (f @ X7) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 0.58/0.79 | (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X8)) @
% 0.58/0.79 (s @ (s @ 0))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_0_19])).
% 0.58/0.79 thf(zip_derived_cl23, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl0, zip_derived_cl8, zip_derived_cl2])).
% 0.58/0.79 thf(zip_derived_cl27, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl19, zip_derived_cl23, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl24, zip_derived_cl8, zip_derived_cl25])).
% 0.58/0.79 thf(zip_derived_cl2, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_11_03])).
% 0.58/0.79 thf(zip_derived_cl24, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl13, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23])).
% 0.58/0.79 thf(zip_derived_cl8, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_17_09])).
% 0.58/0.79 thf(zip_derived_cl25, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl5, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23, zip_derived_cl24])).
% 0.58/0.79 thf(zip_derived_cl35, plain,
% 0.58/0.79 (![X3 : $i, X5 : $i, X8 : $i]:
% 0.58/0.79 (~ (E @ (f @ X3) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | ~ (E @ (f @ X5) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X8)) @
% 0.58/0.79 (s @ (s @ 0))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl18, zip_derived_cl23, zip_derived_cl27,
% 0.58/0.79 zip_derived_cl2, zip_derived_cl24, zip_derived_cl8,
% 0.58/0.79 zip_derived_cl25])).
% 0.58/0.79 thf(zip_derived_cl36, plain,
% 0.58/0.79 (![X1 : $i, X2 : $i]:
% 0.58/0.79 ( (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X1)) @
% 0.58/0.79 (s @ (s @ 0)))
% 0.58/0.79 | ~ (E @ (f @ X2) @ (s @ (s @ (s @ 0)))))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl35])).
% 0.58/0.79 thf(zip_derived_cl39, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X1)) @
% 0.58/0.79 (s @ (s @ 0)))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl36])).
% 0.58/0.79 thf(zip_derived_cl34, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X1)) @
% 0.58/0.79 (s @ (s @ (s @ 0))))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl33])).
% 0.58/0.79 thf(zip_derived_cl30, plain,
% 0.58/0.79 (![X6 : $i]:
% 0.58/0.79 (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X6)) @
% 0.58/0.79 (s @ (s @ (s @ (s @ 0)))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl11, zip_derived_cl23, zip_derived_cl27,
% 0.58/0.79 zip_derived_cl2, zip_derived_cl24, zip_derived_cl8,
% 0.58/0.79 zip_derived_cl25])).
% 0.58/0.79 thf(clause_8_11, axiom,
% 0.58/0.79 (( ~( E @
% 0.58/0.79 ( f @ A_1 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_4 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ B_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_5 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_7 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_2 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_6 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_3 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( E @
% 0.58/0.79 ( f @
% 0.58/0.79 ( AP @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) @
% 0.58/0.79 K ) ) @
% 0.58/0.79 ( s @ 0 ) ))).
% 0.58/0.79 thf(zip_derived_cl10, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.58/0.79 X7 : $i, X8 : $i, X9 : $i]:
% 0.58/0.79 (~ (E @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 0.58/0.79 | ~ (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 0.58/0.79 | ~ (E @ (f @ X2) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 0.58/0.79 | ~ (E @ (f @ X3) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | ~ (E @ (f @ X4) @ (s @ (s @ 0)))
% 0.58/0.79 | ~ (E @ (f @ X5) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 0.58/0.79 | ~ (E @ (f @ X6) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | ~ (E @ (f @ X7) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 0.58/0.79 | ~ (E @ (f @ X8) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 0.58/0.79 | (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X9)) @
% 0.58/0.79 (s @ 0)))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_8_11])).
% 0.58/0.79 thf(zip_derived_cl23, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl0, zip_derived_cl8, zip_derived_cl2])).
% 0.58/0.79 thf(zip_derived_cl2, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_11_03])).
% 0.58/0.79 thf(zip_derived_cl24, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl13, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23])).
% 0.58/0.79 thf(zip_derived_cl8, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_17_09])).
% 0.58/0.79 thf(zip_derived_cl25, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl5, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23, zip_derived_cl24])).
% 0.58/0.79 thf(zip_derived_cl26, plain,
% 0.58/0.79 (![X1 : $i, X3 : $i, X4 : $i, X6 : $i, X9 : $i]:
% 0.58/0.79 (~ (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 0.58/0.79 | ~ (E @ (f @ X3) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | ~ (E @ (f @ X4) @ (s @ (s @ 0)))
% 0.58/0.79 | ~ (E @ (f @ X6) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X9)) @
% 0.58/0.79 (s @ 0)))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl10, zip_derived_cl23, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl24, zip_derived_cl8, zip_derived_cl25])).
% 0.58/0.79 thf(zip_derived_cl27, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl19, zip_derived_cl23, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl24, zip_derived_cl8, zip_derived_cl25])).
% 0.58/0.79 thf(zip_derived_cl28, plain,
% 0.58/0.79 (![X3 : $i, X4 : $i, X6 : $i, X9 : $i]:
% 0.58/0.79 (~ (E @ (f @ X3) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | ~ (E @ (f @ X4) @ (s @ (s @ 0)))
% 0.58/0.79 | ~ (E @ (f @ X6) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X9)) @
% 0.58/0.79 (s @ 0)))),
% 0.58/0.79 inference('demod', [status(thm)], [zip_derived_cl26, zip_derived_cl27])).
% 0.58/0.79 thf(zip_derived_cl32, plain,
% 0.58/0.79 (![X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.79 ( (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X1)) @
% 0.58/0.79 (s @ 0))
% 0.58/0.79 | ~ (E @ (f @ X2) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | ~ (E @ (f @ X3) @ (s @ (s @ 0))))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl28])).
% 0.58/0.79 thf(zip_derived_cl38, plain,
% 0.58/0.79 (![X1 : $i, X2 : $i]:
% 0.58/0.79 (~ (E @ (f @ X1) @ (s @ (s @ 0)))
% 0.58/0.79 | (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X2)) @
% 0.58/0.79 (s @ 0)))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl32])).
% 0.58/0.79 thf(zip_derived_cl44, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X1)) @
% 0.58/0.79 (s @ 0))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl38])).
% 0.58/0.79 thf(zip_derived_cl39, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X1)) @
% 0.58/0.79 (s @ (s @ 0)))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl36])).
% 0.58/0.79 thf(zip_derived_cl34, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X1)) @
% 0.58/0.79 (s @ (s @ (s @ 0))))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl33])).
% 0.58/0.79 thf(zip_derived_cl30, plain,
% 0.58/0.79 (![X6 : $i]:
% 0.58/0.79 (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X6)) @
% 0.58/0.79 (s @ (s @ (s @ (s @ 0)))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl11, zip_derived_cl23, zip_derived_cl27,
% 0.58/0.79 zip_derived_cl2, zip_derived_cl24, zip_derived_cl8,
% 0.58/0.79 zip_derived_cl25])).
% 0.58/0.79 thf(clause_10_22, axiom,
% 0.58/0.79 (( ~( E @
% 0.58/0.79 ( f @ A_1 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_4 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_8 ) @ ( s @ 0 ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ B_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_5 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_7 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_2 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_6 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_3 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( E @
% 0.58/0.79 ( f @
% 0.58/0.79 ( AP @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) @
% 0.58/0.79 K ) ) @
% 0.58/0.79 0 ))).
% 0.58/0.79 thf(zip_derived_cl21, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.58/0.79 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 0.58/0.79 (~ (E @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 0.58/0.79 | ~ (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 0.58/0.79 | ~ (E @ (f @ X2) @ (s @ 0))
% 0.58/0.79 | ~ (E @ (f @ X3) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 0.58/0.79 | ~ (E @ (f @ X4) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | ~ (E @ (f @ X5) @ (s @ (s @ 0)))
% 0.58/0.79 | ~ (E @ (f @ X6) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 0.58/0.79 | ~ (E @ (f @ X7) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | ~ (E @ (f @ X8) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 0.58/0.79 | ~ (E @ (f @ X9) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 0.58/0.79 | (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X10)) @
% 0.58/0.79 0))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_10_22])).
% 0.58/0.79 thf(zip_derived_cl23, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl0, zip_derived_cl8, zip_derived_cl2])).
% 0.58/0.79 thf(zip_derived_cl27, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl19, zip_derived_cl23, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl24, zip_derived_cl8, zip_derived_cl25])).
% 0.58/0.79 thf(zip_derived_cl2, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_11_03])).
% 0.58/0.79 thf(zip_derived_cl24, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl13, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23])).
% 0.58/0.79 thf(zip_derived_cl8, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_17_09])).
% 0.58/0.79 thf(zip_derived_cl25, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl5, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23, zip_derived_cl24])).
% 0.58/0.79 thf(zip_derived_cl40, plain,
% 0.58/0.79 (![X2 : $i, X4 : $i, X5 : $i, X7 : $i, X10 : $i]:
% 0.58/0.79 (~ (E @ (f @ X2) @ (s @ 0))
% 0.58/0.79 | ~ (E @ (f @ X4) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | ~ (E @ (f @ X5) @ (s @ (s @ 0)))
% 0.58/0.79 | ~ (E @ (f @ X7) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X10)) @
% 0.58/0.79 0))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl21, zip_derived_cl23, zip_derived_cl27,
% 0.58/0.79 zip_derived_cl2, zip_derived_cl24, zip_derived_cl8,
% 0.58/0.79 zip_derived_cl25])).
% 0.58/0.79 thf(zip_derived_cl30, plain,
% 0.58/0.79 (![X6 : $i]:
% 0.58/0.79 (E @
% 0.58/0.79 (f @
% 0.58/0.79 (AP @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))) @
% 0.58/0.79 X6)) @
% 0.58/0.79 (s @ (s @ (s @ (s @ 0)))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl11, zip_derived_cl23, zip_derived_cl27,
% 0.58/0.79 zip_derived_cl2, zip_derived_cl24, zip_derived_cl8,
% 0.58/0.79 zip_derived_cl25])).
% 0.58/0.79 thf(clause_3_17, axiom,
% 0.58/0.79 (( ~( E @
% 0.58/0.79 ( f @ A_1 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_4 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_8 ) @ ( s @ 0 ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ B_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_5 ) @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_7 ) @ ( s @ ( s @ 0 ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_2 ) @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_6 ) @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) |
% 0.58/0.79 ( ~( E @
% 0.58/0.79 ( f @ A_0 ) @
% 0.58/0.79 ( s @
% 0.58/0.79 ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_3 ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ 0 ) ) ) ) ) ) ) ) |
% 0.58/0.79 ( ~( E @ ( f @ A_9 ) @ 0 ) ))).
% 0.58/0.79 thf(zip_derived_cl16, plain,
% 0.58/0.79 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i,
% 0.58/0.79 X7 : $i, X8 : $i, X9 : $i, X10 : $i]:
% 0.58/0.79 (~ (E @ (f @ X0) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))
% 0.58/0.79 | ~ (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))
% 0.58/0.79 | ~ (E @ (f @ X2) @ (s @ 0))
% 0.58/0.79 | ~ (E @ (f @ X3) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))
% 0.58/0.79 | ~ (E @ (f @ X4) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | ~ (E @ (f @ X5) @ (s @ (s @ 0)))
% 0.58/0.79 | ~ (E @ (f @ X6) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))
% 0.58/0.79 | ~ (E @ (f @ X7) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | ~ (E @ (f @ X8) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))
% 0.58/0.79 | ~ (E @ (f @ X9) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))
% 0.58/0.79 | ~ (E @ (f @ X10) @ 0))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_3_17])).
% 0.58/0.79 thf(zip_derived_cl23, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl0, zip_derived_cl8, zip_derived_cl2])).
% 0.58/0.79 thf(zip_derived_cl27, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ 0))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl19, zip_derived_cl23, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl24, zip_derived_cl8, zip_derived_cl25])).
% 0.58/0.79 thf(zip_derived_cl2, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_11_03])).
% 0.58/0.79 thf(zip_derived_cl24, plain,
% 0.58/0.79 (![X1 : $i]:
% 0.58/0.79 (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl13, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23])).
% 0.58/0.79 thf(zip_derived_cl8, plain,
% 0.58/0.79 (![X0 : $i]:
% 0.58/0.79 (E @ (f @ X0) @
% 0.58/0.79 (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ (s @ 0))))))))))),
% 0.58/0.79 inference('cnf', [status(esa)], [clause_17_09])).
% 0.58/0.79 thf(zip_derived_cl25, plain,
% 0.58/0.79 (![X1 : $i]: (E @ (f @ X1) @ (s @ (s @ (s @ (s @ (s @ (s @ 0)))))))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl5, zip_derived_cl8, zip_derived_cl2,
% 0.58/0.79 zip_derived_cl23, zip_derived_cl24])).
% 0.58/0.79 thf(zip_derived_cl29, plain,
% 0.58/0.79 (![X2 : $i, X4 : $i, X5 : $i, X7 : $i, X10 : $i]:
% 0.58/0.79 (~ (E @ (f @ X2) @ (s @ 0))
% 0.58/0.79 | ~ (E @ (f @ X4) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | ~ (E @ (f @ X5) @ (s @ (s @ 0)))
% 0.58/0.79 | ~ (E @ (f @ X7) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | ~ (E @ (f @ X10) @ 0))),
% 0.58/0.79 inference('demod', [status(thm)],
% 0.58/0.79 [zip_derived_cl16, zip_derived_cl23, zip_derived_cl27,
% 0.58/0.79 zip_derived_cl2, zip_derived_cl24, zip_derived_cl8,
% 0.58/0.79 zip_derived_cl25])).
% 0.58/0.79 thf(zip_derived_cl31, plain,
% 0.58/0.79 (![X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.58/0.79 (~ (E @ (f @ X1) @ 0)
% 0.58/0.79 | ~ (E @ (f @ X2) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | ~ (E @ (f @ X3) @ (s @ (s @ 0)))
% 0.58/0.79 | ~ (E @ (f @ X4) @ (s @ 0)))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl29])).
% 0.58/0.79 thf(zip_derived_cl41, plain,
% 0.58/0.79 (![X2 : $i, X4 : $i, X5 : $i, X7 : $i]:
% 0.58/0.79 (~ (E @ (f @ X7) @ (s @ (s @ (s @ 0))))
% 0.58/0.79 | ~ (E @ (f @ X5) @ (s @ (s @ 0)))
% 0.58/0.79 | ~ (E @ (f @ X4) @ (s @ (s @ (s @ (s @ 0)))))
% 0.58/0.79 | ~ (E @ (f @ X2) @ (s @ 0)))),
% 0.58/0.79 inference('clc', [status(thm)], [zip_derived_cl40, zip_derived_cl31])).
% 0.58/0.79 thf(zip_derived_cl42, plain,
% 0.58/0.79 (![X1 : $i, X2 : $i, X3 : $i]:
% 0.58/0.79 (~ (E @ (f @ X1) @ (s @ 0))
% 0.58/0.79 | ~ (E @ (f @ X2) @ (s @ (s @ 0)))
% 0.58/0.79 | ~ (E @ (f @ X3) @ (s @ (s @ (s @ 0)))))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl41])).
% 0.58/0.79 thf(zip_derived_cl43, plain,
% 0.58/0.79 (![X1 : $i, X2 : $i]:
% 0.58/0.79 (~ (E @ (f @ X1) @ (s @ (s @ 0))) | ~ (E @ (f @ X2) @ (s @ 0)))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl42])).
% 0.58/0.79 thf(zip_derived_cl45, plain, (![X1 : $i]: ~ (E @ (f @ X1) @ (s @ 0))),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl43])).
% 0.58/0.79 thf(zip_derived_cl46, plain, ($false),
% 0.58/0.79 inference('sup-', [status(thm)], [zip_derived_cl44, zip_derived_cl45])).
% 0.58/0.79
% 0.58/0.79 % SZS output end Refutation
% 0.58/0.79
% 0.58/0.79
% 0.58/0.79 % Terminating...
% 0.58/0.85 % Runner terminated.
% 0.58/0.86 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------