TSTP Solution File: PHI007^5 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : PHI007^5 : TPTP v8.1.2. Released v6.4.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5gprxk6KFc true
% Computer : n007.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 Aug 31 12:58:50 EDT 2023
% Result : Theorem 21.43s 3.41s
% Output : Refutation 21.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PHI007^5 : TPTP v8.1.2. Released v6.4.0.
% 0.07/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.5gprxk6KFc true
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 08:38:57 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.36 % Running in HO mode
% 0.21/0.67 % Total configuration time : 828
% 0.21/0.67 % Estimated wc time : 1656
% 0.21/0.67 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 21.43/3.41 % Solved by lams/35_full_unif4.sh.
% 21.43/3.41 % done 273 iterations in 2.613s
% 21.43/3.41 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 21.43/3.41 % SZS output start Refutation
% 21.43/3.41 thf(qML_mu_type, type, qML_mu: $tType).
% 21.43/3.41 thf(qML_i_type, type, qML_i: $tType).
% 21.43/3.41 thf(inconsistency_P_type, type, inconsistency_P: (qML_mu > qML_i > $o) >
% 21.43/3.41 qML_i > $o).
% 21.43/3.41 thf('#sk677_type', type, '#sk677': (qML_mu > qML_i > $o) > qML_mu > qML_i >
% 21.43/3.41 qML_mu > qML_i > $o).
% 21.43/3.41 thf('#sk7649_type', type, '#sk7649': qML_mu).
% 21.43/3.41 thf('#sk144_type', type, '#sk144': qML_i > (qML_mu > qML_i > $o) >
% 21.43/3.41 (qML_mu > qML_i > $o) > qML_i).
% 21.43/3.41 thf(inconsistency_G_type, type, inconsistency_G: qML_mu > qML_i > $o).
% 21.43/3.41 thf('#sk185_type', type, '#sk185': qML_i > (qML_mu > qML_i > $o) >
% 21.43/3.41 (qML_mu > qML_i > $o) > qML_mu).
% 21.43/3.41 thf(qML_r_type, type, qML_r: qML_i > qML_i > $o).
% 21.43/3.41 thf('#sk276_type', type, '#sk276': (qML_mu > qML_i > $o) > qML_i > qML_mu).
% 21.43/3.41 thf('#sk9858_type', type, '#sk9858': qML_i > (qML_mu > qML_i > $o) > qML_i).
% 21.43/3.41 thf(incons1389517216QML_mu_type, type, incons1389517216QML_mu: (qML_mu >
% 21.43/3.41 qML_i > $o) >
% 21.43/3.41 qML_mu > qML_i > $o).
% 21.43/3.41 thf(incons1905966852QML_mu_type, type, incons1905966852QML_mu: qML_mu > qML_i > $o).
% 21.43/3.41 thf('#sk7650_type', type, '#sk7650': qML_i).
% 21.43/3.41 thf(fact_0_A1a, axiom,
% 21.43/3.41 (![W:qML_i,X:( qML_mu > qML_i > $o )]:
% 21.43/3.41 ( ( inconsistency_P @ ( ^[Y:qML_mu,Z:qML_i]: ( ~( X @ Y @ Z ) ) ) @ W ) =>
% 21.43/3.41 ( ~( inconsistency_P @ X @ W ) ) ))).
% 21.43/3.41 thf(zip_derived_cl0, plain,
% 21.43/3.41 ( (((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @
% 21.43/3.41 (^[Y2 : qML_mu,Y3 : qML_i]:
% 21.43/3.41 (((~) @ (Y1 @ Y2 @ Y3)))) @
% 21.43/3.41 Y0) => (((~) @ (inconsistency_P @ Y1 @ Y0)))))))))))),
% 21.43/3.41 inference('cnf', [status(esa)], [fact_0_A1a])).
% 21.43/3.41 thf(zip_derived_cl43, plain,
% 21.43/3.41 (![X2 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @
% 21.43/3.41 (^[Y1 : qML_mu,Y2 : qML_i]: (((~) @ (Y0 @ Y1 @ Y2)))) @
% 21.43/3.41 X2) => (((~) @ (inconsistency_P @ Y0 @ X2))))))))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl0])).
% 21.43/3.41 thf(zip_derived_cl44, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X4 @ Y0 @ Y1)))) @ X2) =>
% 21.43/3.41 (((~) @ (inconsistency_P @ X4 @ X2)))))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])).
% 21.43/3.41 thf(zip_derived_cl47, plain,
% 21.43/3.41 (![X0 : qML_i]:
% 21.43/3.41 (((inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((~) @ (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @
% 21.43/3.41 Y1))))))))) @
% 21.43/3.41 X0) =>
% 21.43/3.41 (((~) @ (inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y2 @ Y1) => (Y2 @
% 21.43/3.41 Y0 @ Y1))))))) @
% 21.43/3.41 X0)))))),
% 21.43/3.41 inference('triggered_bool_instantiation', [status(thm)],
% 21.43/3.41 [zip_derived_cl44])).
% 21.43/3.41 thf(fact_6_G__def, axiom,
% 21.43/3.41 (( inconsistency_G ) =
% 21.43/3.41 ( ^[X2:qML_mu,W2:qML_i]:
% 21.43/3.41 ( ![Y:( qML_mu > qML_i > $o )]:
% 21.43/3.41 ( ( inconsistency_P @ Y @ W2 ) => ( Y @ X2 @ W2 ) ) ) ))).
% 21.43/3.41 thf(zip_derived_cl6, plain,
% 21.43/3.41 (((inconsistency_G)
% 21.43/3.41 = ((^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))))),
% 21.43/3.41 inference('cnf', [status(esa)], [fact_6_G__def])).
% 21.43/3.41 thf(fact_3_A3, axiom,
% 21.43/3.41 (![X_1:qML_i]: ( inconsistency_P @ inconsistency_G @ X_1 ))).
% 21.43/3.41 thf(zip_derived_cl3, plain,
% 21.43/3.41 ( (((!!) @ (^[Y0 : qML_i]: (inconsistency_P @ inconsistency_G @ Y0))))),
% 21.43/3.41 inference('cnf', [status(esa)], [fact_3_A3])).
% 21.43/3.41 thf(zip_derived_cl16, plain,
% 21.43/3.41 (![X2 : qML_i]: (inconsistency_P @ inconsistency_G @ X2)),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])).
% 21.43/3.41 thf(zip_derived_cl724, plain,
% 21.43/3.41 (![X0 : qML_i]:
% 21.43/3.41 (((inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((~) @ (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @
% 21.43/3.41 Y1))))))))) @
% 21.43/3.41 X0) => (((~) @ ($true)))))),
% 21.43/3.41 inference('demod', [status(thm)],
% 21.43/3.41 [zip_derived_cl47, zip_derived_cl6, zip_derived_cl16])).
% 21.43/3.41 thf(zip_derived_cl725, plain,
% 21.43/3.41 (![X0 : qML_i]:
% 21.43/3.41 (((~) @ (inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((~) @ (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y2 @ Y1) =>
% 21.43/3.41 (Y2 @ Y0 @ Y1))))))))) @
% 21.43/3.41 X0)))),
% 21.43/3.41 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl724])).
% 21.43/3.41 thf(zip_derived_cl726, plain,
% 21.43/3.41 (![X0 : qML_i]:
% 21.43/3.41 ~ (inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((~) @ (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @
% 21.43/3.41 Y1))))))))) @
% 21.43/3.41 X0)),
% 21.43/3.41 inference('simplify nested equalities', [status(thm)],
% 21.43/3.41 [zip_derived_cl725])).
% 21.43/3.41 thf(fact_5_A5, axiom,
% 21.43/3.41 (![X_1:qML_i]: ( inconsistency_P @ incons1905966852QML_mu @ X_1 ))).
% 21.43/3.41 thf(zip_derived_cl5, plain,
% 21.43/3.41 ( (((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (inconsistency_P @ incons1905966852QML_mu @ Y0))))),
% 21.43/3.41 inference('cnf', [status(esa)], [fact_5_A5])).
% 21.43/3.41 thf(zip_derived_cl17, plain,
% 21.43/3.41 (![X2 : qML_i]: (inconsistency_P @ incons1905966852QML_mu @ X2)),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
% 21.43/3.41 thf(fact_2_A2, axiom,
% 21.43/3.41 (![W:qML_i,X:( qML_mu > qML_i > $o ),Xa:( qML_mu > qML_i > $o )]:
% 21.43/3.41 ( ( ( ![V:qML_i]:
% 21.43/3.41 ( ( qML_r @ W @ V ) =>
% 21.43/3.41 ( ![Xb:qML_mu]: ( ( X @ Xb @ V ) => ( Xa @ Xb @ V ) ) ) ) ) &
% 21.43/3.41 ( inconsistency_P @ X @ W ) ) =>
% 21.43/3.41 ( inconsistency_P @ Xa @ W ) ))).
% 21.43/3.41 thf(zip_derived_cl2, plain,
% 21.43/3.41 ( (((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @ Y0 @
% 21.43/3.41 Y3) =>
% 21.43/3.41 (((!!) @ (
% 21.43/3.41 ^[Y4 : qML_mu]:
% 21.43/3.41 (((Y1 @ Y4 @
% 21.43/3.41 Y3) =>
% 21.43/3.41 (Y2 @ Y4 @
% 21.43/3.41 Y3))))))))))) &
% 21.43/3.41 (inconsistency_P @ Y1 @ Y0))) =>
% 21.43/3.41 (inconsistency_P @ Y2 @ Y0))))))))))))),
% 21.43/3.41 inference('cnf', [status(esa)], [fact_2_A2])).
% 21.43/3.41 thf(zip_derived_cl114, plain,
% 21.43/3.41 (![X2 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((((!!) @ (^[Y2 : qML_i]:
% 21.43/3.41 (((qML_r @ X2 @ Y2) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_mu]:
% 21.43/3.41 (((Y0 @ Y3 @
% 21.43/3.41 Y2) => (Y1 @
% 21.43/3.41 Y3 @ Y2))))))))))) &
% 21.43/3.41 (inconsistency_P @ Y0 @ X2))) =>
% 21.43/3.41 (inconsistency_P @ Y1 @ X2)))))))))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])).
% 21.43/3.41 thf(zip_derived_cl115, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((((!!) @ (^[Y1 : qML_i]:
% 21.43/3.41 (((qML_r @ X2 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu]:
% 21.43/3.41 (((X4 @ Y2 @ Y1) => (Y0 @
% 21.43/3.41 Y2 @ Y1))))))))))) &
% 21.43/3.41 (inconsistency_P @ X4 @ X2))) =>
% 21.43/3.41 (inconsistency_P @ Y0 @ X2))))))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl114])).
% 21.43/3.41 thf(zip_derived_cl122, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o, X6 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((qML_r @ X2 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu]:
% 21.43/3.41 (((X4 @ Y1 @ Y0) => (X6 @ Y1 @ Y0))))))))))) &
% 21.43/3.41 (inconsistency_P @ X4 @ X2))) =>
% 21.43/3.41 (inconsistency_P @ X6 @ X2)))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl115])).
% 21.43/3.41 thf(zip_derived_cl129, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o, X6 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (((((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((qML_r @ X2 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu]:
% 21.43/3.41 (((X4 @ Y1 @ Y0) => (X6 @ Y1 @ Y0))))))))))) &
% 21.43/3.41 (inconsistency_P @ X4 @ X2)))
% 21.43/3.41 | (inconsistency_P @ X6 @ X2))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl122])).
% 21.43/3.41 thf(zip_derived_cl130, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o, X6 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((qML_r @ X2 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu]:
% 21.43/3.41 (((X4 @ Y1 @ Y0) => (X6 @ Y1 @ Y0)))))))))))
% 21.43/3.41 | ~ (inconsistency_P @ X4 @ X2)
% 21.43/3.41 | (inconsistency_P @ X6 @ X2))),
% 21.43/3.41 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl129])).
% 21.43/3.41 thf(zip_derived_cl131, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o, X6 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (((qML_r @ X2 @ ('#sk144' @ X2 @ X4 @ X6)) =>
% 21.43/3.41 (((!!) @ (^[Y0 : qML_mu]:
% 21.43/3.41 (((X4 @ Y0 @ ('#sk144' @ X2 @ X4 @ X6)) => (X6 @
% 21.43/3.41 Y0 @ ('#sk144' @ X2 @ X4 @ X6)))))))))
% 21.43/3.41 | (inconsistency_P @ X6 @ X2)
% 21.43/3.41 | ~ (inconsistency_P @ X4 @ X2))),
% 21.43/3.41 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl130])).
% 21.43/3.41 thf(zip_derived_cl133, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o, X6 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (((!!) @ (^[Y0 : qML_mu]:
% 21.43/3.41 (((X4 @ Y0 @ ('#sk144' @ X2 @ X4 @ X6)) => (X6 @ Y0 @
% 21.43/3.41 ('#sk144' @ X2 @ X4 @ X6)))))))
% 21.43/3.41 | ~ (inconsistency_P @ X4 @ X2)
% 21.43/3.41 | (inconsistency_P @ X6 @ X2))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl131])).
% 21.43/3.41 thf(zip_derived_cl134, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o, X6 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (((X4 @ ('#sk185' @ X2 @ X4 @ X6) @ ('#sk144' @ X2 @ X4 @ X6)) =>
% 21.43/3.41 (X6 @ ('#sk185' @ X2 @ X4 @ X6) @ ('#sk144' @ X2 @ X4 @ X6))))
% 21.43/3.41 | (inconsistency_P @ X6 @ X2)
% 21.43/3.41 | ~ (inconsistency_P @ X4 @ X2))),
% 21.43/3.41 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl133])).
% 21.43/3.41 thf(zip_derived_cl136, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o, X6 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (X6 @ ('#sk185' @ X2 @ X4 @ X6) @ ('#sk144' @ X2 @ X4 @ X6))
% 21.43/3.41 | ~ (inconsistency_P @ X4 @ X2)
% 21.43/3.41 | (inconsistency_P @ X6 @ X2))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl134])).
% 21.43/3.41 thf(zip_derived_cl670, plain,
% 21.43/3.41 (![X0 : qML_mu > qML_i > $o, X1 : qML_i]:
% 21.43/3.41 (~ ((^[Y0 : qML_mu,Y1 : qML_i]: ($true)) @
% 21.43/3.41 ('#sk185' @ X1 @ X0 @ (^[Y0 : qML_mu,Y1 : qML_i]: ($true))) @
% 21.43/3.41 ('#sk144' @ X1 @ X0 @ (^[Y0 : qML_mu,Y1 : qML_i]: ($true))))
% 21.43/3.41 | ~ (inconsistency_P @ X0 @ X1)
% 21.43/3.41 | (inconsistency_P @ (^[Y0 : qML_mu,Y1 : qML_i]: ($true)) @ X1))),
% 21.43/3.41 inference('ho.refine', [status(thm)], [zip_derived_cl136])).
% 21.43/3.41 thf(zip_derived_cl675, plain,
% 21.43/3.41 (![X0 : qML_mu > qML_i > $o, X1 : qML_i]:
% 21.43/3.41 (~ (inconsistency_P @ X0 @ X1)
% 21.43/3.41 | (inconsistency_P @ (^[Y0 : qML_mu,Y1 : qML_i]: ($true)) @ X1))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl670])).
% 21.43/3.41 thf(zip_derived_cl703, plain,
% 21.43/3.41 (![X0 : qML_i]:
% 21.43/3.41 (inconsistency_P @ (^[Y0 : qML_mu,Y1 : qML_i]: ($true)) @ X0)),
% 21.43/3.41 inference('sup-', [status(thm)], [zip_derived_cl17, zip_derived_cl675])).
% 21.43/3.41 thf(zip_derived_cl16, plain,
% 21.43/3.41 (![X2 : qML_i]: (inconsistency_P @ inconsistency_G @ X2)),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3])).
% 21.43/3.41 thf(zip_derived_cl44, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X4 @ Y0 @ Y1)))) @ X2) =>
% 21.43/3.41 (((~) @ (inconsistency_P @ X4 @ X2)))))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])).
% 21.43/3.41 thf(zip_derived_cl49, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X4 @ Y0 @ Y1)))) @ X2)
% 21.43/3.41 | ~ (inconsistency_P @ X4 @ X2))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl44])).
% 21.43/3.41 thf(zip_derived_cl52, plain,
% 21.43/3.41 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]:
% 21.43/3.41 ((((^[Y0 : qML_mu,Y1 : qML_i]: (inconsistency_G @ Y0 @ Y1)))
% 21.43/3.41 != ((^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1))))))
% 21.43/3.41 | ~ (inconsistency_P @ X1 @ X0))),
% 21.43/3.41 inference('ext_sup', [status(thm)], [zip_derived_cl16, zip_derived_cl49])).
% 21.43/3.41 thf(zip_derived_cl59, plain,
% 21.43/3.41 (![X0 : qML_i, X1 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_G)
% 21.43/3.41 != ((^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1))))))
% 21.43/3.41 | ~ (inconsistency_P @ X1 @ X0))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl52])).
% 21.43/3.41 thf(zip_derived_cl1037, plain,
% 21.43/3.41 (((inconsistency_G)
% 21.43/3.41 != ((^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((~) @ ((^[Y2 : qML_mu,Y3 : qML_i]: ($true)) @ Y0 @ Y1))))))),
% 21.43/3.41 inference('sup-', [status(thm)], [zip_derived_cl703, zip_derived_cl59])).
% 21.43/3.41 thf(zip_derived_cl1055, plain,
% 21.43/3.41 (((inconsistency_G) != ((^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ ($true))))))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl1037])).
% 21.43/3.41 thf(zip_derived_cl1056, plain,
% 21.43/3.41 (((inconsistency_G) != ((^[Y0 : qML_mu,Y1 : qML_i]: ($false))))),
% 21.43/3.41 inference('simplify boolean subterms', [status(thm)],
% 21.43/3.41 [zip_derived_cl1055])).
% 21.43/3.41 thf(zip_derived_cl1092, plain, ( (inconsistency_G @ '#sk7649' @ '#sk7650')),
% 21.43/3.41 inference('neg_ext', [status(thm)], [zip_derived_cl1056])).
% 21.43/3.41 thf(fact_1_A1b, axiom,
% 21.43/3.41 (![W:qML_i,X:( qML_mu > qML_i > $o )]:
% 21.43/3.41 ( ( ~( inconsistency_P @ X @ W ) ) =>
% 21.43/3.41 ( inconsistency_P @ ( ^[Y:qML_mu,Z:qML_i]: ( ~( X @ Y @ Z ) ) ) @ W ) ))).
% 21.43/3.41 thf(zip_derived_cl1, plain,
% 21.43/3.41 ( (((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((~) @ (inconsistency_P @ Y1 @ Y0))) =>
% 21.43/3.41 (inconsistency_P @
% 21.43/3.41 (^[Y2 : qML_mu,Y3 : qML_i]:
% 21.43/3.41 (((~) @ (Y1 @ Y2 @ Y3)))) @
% 21.43/3.41 Y0)))))))))),
% 21.43/3.41 inference('cnf', [status(esa)], [fact_1_A1b])).
% 21.43/3.41 thf(zip_derived_cl60, plain,
% 21.43/3.41 (![X2 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((~) @ (inconsistency_P @ Y0 @ X2))) =>
% 21.43/3.41 (inconsistency_P @
% 21.43/3.41 (^[Y1 : qML_mu,Y2 : qML_i]: (((~) @ (Y0 @ Y1 @ Y2)))) @
% 21.43/3.41 X2))))))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1])).
% 21.43/3.41 thf(zip_derived_cl61, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((~) @ (inconsistency_P @ X4 @ X2))) => (inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X4 @ Y0 @ Y1)))) @ X2)))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl60])).
% 21.43/3.41 thf(zip_derived_cl67, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]:
% 21.43/3.41 ( (inconsistency_P @ X4 @ X2)
% 21.43/3.41 | (inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X4 @ Y0 @ Y1)))) @ X2))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl61])).
% 21.43/3.41 thf(zip_derived_cl6, plain,
% 21.43/3.41 (((inconsistency_G)
% 21.43/3.41 = ((^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1)))))))))),
% 21.43/3.41 inference('cnf', [status(esa)], [fact_6_G__def])).
% 21.43/3.41 thf(zip_derived_cl10, plain,
% 21.43/3.41 (![X1 : qML_mu]:
% 21.43/3.41 ((inconsistency_G @ X1)
% 21.43/3.41 = ((^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @ Y1))))))) @
% 21.43/3.41 X1))),
% 21.43/3.41 inference('ho_complete_eq', [status(thm)], [zip_derived_cl6])).
% 21.43/3.41 thf(zip_derived_cl12, plain,
% 21.43/3.41 (![X1 : qML_mu]:
% 21.43/3.41 ((inconsistency_G @ X1)
% 21.43/3.41 = ((^[Y0 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y1 @ Y0) => (Y1 @ X1 @ Y0)))))))))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl10])).
% 21.43/3.41 thf(zip_derived_cl14, plain,
% 21.43/3.41 (![X1 : qML_mu, X2 : qML_i]:
% 21.43/3.41 ((inconsistency_G @ X1 @ X2)
% 21.43/3.41 = ((^[Y0 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y1 @ Y0) => (Y1 @ X1 @ Y0))))))) @
% 21.43/3.41 X2))),
% 21.43/3.41 inference('ho_complete_eq', [status(thm)], [zip_derived_cl12])).
% 21.43/3.41 thf(zip_derived_cl15, plain,
% 21.43/3.41 (![X1 : qML_mu, X2 : qML_i]:
% 21.43/3.41 ((inconsistency_G @ X1 @ X2)
% 21.43/3.41 = (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y0 @ X2) => (Y0 @ X1 @ X2)))))))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl14])).
% 21.43/3.41 thf(zip_derived_cl141, plain,
% 21.43/3.41 (![X-106 : qML_mu > qML_i > $o, X1 : qML_mu, X2 : qML_i]:
% 21.43/3.41 ( ((^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y0 @ X2) => (Y0 @ X1 @ X2)))) @
% 21.43/3.41 X-106)
% 21.43/3.41 | ~ (inconsistency_G @ X1 @ X2))),
% 21.43/3.41 inference('forall_hoist', [status(thm)], [zip_derived_cl15])).
% 21.43/3.41 thf(zip_derived_cl150, plain,
% 21.43/3.41 (![X-106 : qML_mu > qML_i > $o, X1 : qML_mu, X2 : qML_i]:
% 21.43/3.41 ( (((inconsistency_P @ X-106 @ X2) => (X-106 @ X1 @ X2)))
% 21.43/3.41 | ~ (inconsistency_G @ X1 @ X2))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl141])).
% 21.43/3.41 thf(zip_derived_cl151, plain,
% 21.43/3.41 (![X1 : qML_mu, X2 : qML_i, X3 : qML_mu > qML_i > $o]:
% 21.43/3.41 ( (((inconsistency_P @ X3 @ X2) => (X3 @ X1 @ X2)))
% 21.43/3.41 | ~ (inconsistency_G @ X1 @ X2))),
% 21.43/3.41 inference('cannonize vars', [status(thm)], [zip_derived_cl150])).
% 21.43/3.41 thf(zip_derived_cl152, plain,
% 21.43/3.41 (![X1 : qML_mu, X2 : qML_i, X3 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (inconsistency_P @ X3 @ X2)
% 21.43/3.41 | (X3 @ X1 @ X2)
% 21.43/3.41 | ~ (inconsistency_G @ X1 @ X2))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl151])).
% 21.43/3.41 thf(zip_derived_cl153, plain,
% 21.43/3.41 (![X0 : qML_i, X1 : qML_mu > qML_i > $o, X2 : qML_mu]:
% 21.43/3.41 ( (inconsistency_P @ X1 @ X0)
% 21.43/3.41 | ~ (inconsistency_G @ X2 @ X0)
% 21.43/3.41 | ((^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X1 @ Y0 @ Y1)))) @ X2 @ X0))),
% 21.43/3.41 inference('sup-', [status(thm)], [zip_derived_cl67, zip_derived_cl152])).
% 21.43/3.41 thf(zip_derived_cl160, plain,
% 21.43/3.41 (![X0 : qML_i, X1 : qML_mu > qML_i > $o, X2 : qML_mu]:
% 21.43/3.41 ( (inconsistency_P @ X1 @ X0)
% 21.43/3.41 | ~ (inconsistency_G @ X2 @ X0)
% 21.43/3.41 | (((~) @ (X1 @ X2 @ X0))))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl153])).
% 21.43/3.41 thf(zip_derived_cl161, plain,
% 21.43/3.41 (![X0 : qML_i, X1 : qML_mu > qML_i > $o, X2 : qML_mu]:
% 21.43/3.41 ( (inconsistency_P @ X1 @ X0)
% 21.43/3.41 | ~ (inconsistency_G @ X2 @ X0)
% 21.43/3.41 | ~ (X1 @ X2 @ X0))),
% 21.43/3.41 inference('simplify nested equalities', [status(thm)],
% 21.43/3.41 [zip_derived_cl160])).
% 21.43/3.41 thf(zip_derived_cl1096, plain,
% 21.43/3.41 (![X0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (X0 @ '#sk7649' @ '#sk7650') | (inconsistency_P @ X0 @ '#sk7650'))),
% 21.43/3.41 inference('sup-', [status(thm)], [zip_derived_cl1092, zip_derived_cl161])).
% 21.43/3.41 thf(zip_derived_cl1235, plain,
% 21.43/3.41 (~ ((^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((~) @ (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y2 @ Y1) => (Y2 @ Y0 @
% 21.43/3.41 Y1))))))))) @
% 21.43/3.41 '#sk7649' @ '#sk7650')),
% 21.43/3.41 inference('sup+', [status(thm)], [zip_derived_cl726, zip_derived_cl1096])).
% 21.43/3.41 thf(zip_derived_cl1269, plain,
% 21.43/3.41 (~ (((~) @ (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y0 @ '#sk7650') => (Y0 @
% 21.43/3.41 '#sk7649' @ '#sk7650'))))))))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl1235])).
% 21.43/3.41 thf(zip_derived_cl1270, plain,
% 21.43/3.41 ( (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ Y0 @ '#sk7650') => (Y0 @ '#sk7649' @
% 21.43/3.41 '#sk7650'))))))),
% 21.43/3.41 inference('simplify nested equalities', [status(thm)],
% 21.43/3.41 [zip_derived_cl1269])).
% 21.43/3.41 thf(zip_derived_cl1339, plain,
% 21.43/3.41 (![X2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @ X2 @ '#sk7650') => (X2 @ '#sk7649' @ '#sk7650')))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1270])).
% 21.43/3.41 thf(zip_derived_cl1350, plain,
% 21.43/3.41 (![X2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (inconsistency_P @ X2 @ '#sk7650') | (X2 @ '#sk7649' @ '#sk7650'))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1339])).
% 21.43/3.41 thf(zip_derived_cl115, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((((!!) @ (^[Y1 : qML_i]:
% 21.43/3.41 (((qML_r @ X2 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu]:
% 21.43/3.41 (((X4 @ Y2 @ Y1) => (Y0 @
% 21.43/3.41 Y2 @ Y1))))))))))) &
% 21.43/3.41 (inconsistency_P @ X4 @ X2))) =>
% 21.43/3.41 (inconsistency_P @ Y0 @ X2))))))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl114])).
% 21.43/3.41 thf(zip_derived_cl116, plain,
% 21.43/3.41 (![X0 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((((!!) @ (^[Y1 : qML_i]:
% 21.43/3.41 (((qML_r @ X0 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu]:
% 21.43/3.41 (((((!!) @ (^[Y3 :
% 21.43/3.41 qML_mu >
% 21.43/3.41 qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @
% 21.43/3.41 Y3 @ Y2 @
% 21.43/3.41 Y1) =>
% 21.43/3.41 (((!!) @ (
% 21.43/3.41 ^[Y4 : qML_i]:
% 21.43/3.41 ((
% 21.43/3.41 (qML_r @
% 21.43/3.41 Y1 @
% 21.43/3.41 Y4) =>
% 21.43/3.41 ((
% 21.43/3.41 (??) @ (
% 21.43/3.41 ^[Y5 : qML_mu]:
% 21.43/3.41 (Y3 @
% 21.43/3.41 Y5 @ Y4)))))))))))))) =>
% 21.43/3.41 (Y0 @ Y2 @ Y1))))))))))) &
% 21.43/3.41 (inconsistency_P @
% 21.43/3.41 (^[Y1 : qML_mu,Y2 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y3 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y3 @ Y1 @
% 21.43/3.41 Y2) =>
% 21.43/3.41 (((!!) @ (^[Y4 : qML_i]:
% 21.43/3.41 (((qML_r @ Y2 @ Y4) =>
% 21.43/3.41 (((??) @ (^[Y5 : qML_mu]:
% 21.43/3.41 (Y3 @
% 21.43/3.41 Y5 @ Y4))))))))))))))) @
% 21.43/3.41 X0))) =>
% 21.43/3.41 (inconsistency_P @ Y0 @ X0))))))),
% 21.43/3.41 inference('triggered_bool_instantiation', [status(thm)],
% 21.43/3.41 [zip_derived_cl115])).
% 21.43/3.41 thf(zip_derived_cl1909, plain,
% 21.43/3.41 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((qML_r @ X0 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu]:
% 21.43/3.41 (((((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @
% 21.43/3.41 Y2 @ Y1 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @
% 21.43/3.41 Y0 @
% 21.43/3.41 Y3) =>
% 21.43/3.41 ((
% 21.43/3.41 (??) @ (
% 21.43/3.41 ^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @
% 21.43/3.41 Y4 @ Y3)))))))))))))) =>
% 21.43/3.41 (X2 @ Y1 @ Y0))))))))))) &
% 21.43/3.41 (inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @ Y1 @ Y3) =>
% 21.43/3.41 (((??) @ (^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @ Y4 @ Y3))))))))))))))) @
% 21.43/3.41 X0))) =>
% 21.43/3.41 (inconsistency_P @ X2 @ X0)))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl116])).
% 21.43/3.41 thf(fact_7_NE__def, axiom,
% 21.43/3.41 (( incons1905966852QML_mu ) =
% 21.43/3.41 ( ^[X2:qML_mu,W2:qML_i]:
% 21.43/3.41 ( ![Y:( qML_mu > qML_i > $o )]:
% 21.43/3.41 ( ( incons1389517216QML_mu @ Y @ X2 @ W2 ) =>
% 21.43/3.41 ( ![V3:qML_i]:
% 21.43/3.41 ( ( qML_r @ W2 @ V3 ) => ( ?[Z:qML_mu]: ( Y @ Z @ V3 ) ) ) ) ) ) ))).
% 21.43/3.41 thf(zip_derived_cl7, plain,
% 21.43/3.41 (((incons1905966852QML_mu)
% 21.43/3.41 = ((^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @ Y1 @ Y3) =>
% 21.43/3.41 (((??) @ (^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @ Y4 @ Y3)))))))))))))))))),
% 21.43/3.41 inference('cnf', [status(esa)], [fact_7_NE__def])).
% 21.43/3.41 thf(zip_derived_cl17, plain,
% 21.43/3.41 (![X2 : qML_i]: (inconsistency_P @ incons1905966852QML_mu @ X2)),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
% 21.43/3.41 thf(zip_derived_cl1920, plain,
% 21.43/3.41 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((qML_r @ X0 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu]:
% 21.43/3.41 (((((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @
% 21.43/3.41 Y2 @ Y1 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @
% 21.43/3.41 Y0 @
% 21.43/3.41 Y3) =>
% 21.43/3.41 ((
% 21.43/3.41 (??) @ (
% 21.43/3.41 ^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @
% 21.43/3.41 Y4 @ Y3)))))))))))))) =>
% 21.43/3.41 (X2 @ Y1 @ Y0))))))))))) &
% 21.43/3.41 ($true))) =>
% 21.43/3.41 (inconsistency_P @ X2 @ X0)))),
% 21.43/3.41 inference('demod', [status(thm)],
% 21.43/3.41 [zip_derived_cl1909, zip_derived_cl7, zip_derived_cl17])).
% 21.43/3.41 thf(zip_derived_cl1921, plain,
% 21.43/3.41 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((qML_r @ X0 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu]:
% 21.43/3.41 (((((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @
% 21.43/3.41 Y2 @ Y1 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @
% 21.43/3.41 Y0 @ Y3) =>
% 21.43/3.41 (((??) @ (
% 21.43/3.41 ^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @
% 21.43/3.41 Y4 @ Y3)))))))))))))) =>
% 21.43/3.41 (X2 @ Y1 @ Y0))))))))))) =>
% 21.43/3.41 (inconsistency_P @ X2 @ X0)))),
% 21.43/3.41 inference('simplify boolean subterms', [status(thm)],
% 21.43/3.41 [zip_derived_cl1920])).
% 21.43/3.41 thf(zip_derived_cl1922, plain,
% 21.43/3.41 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((qML_r @ X0 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu]:
% 21.43/3.41 (((((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @
% 21.43/3.41 Y2 @ Y1 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @
% 21.43/3.41 Y0 @ Y3) =>
% 21.43/3.41 (((??) @ (
% 21.43/3.41 ^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @
% 21.43/3.41 Y4 @ Y3)))))))))))))) =>
% 21.43/3.41 (X2 @ Y1 @ Y0)))))))))))
% 21.43/3.41 | (inconsistency_P @ X2 @ X0))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1921])).
% 21.43/3.41 thf(zip_derived_cl1923, plain,
% 21.43/3.41 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (((qML_r @ X0 @ ('#sk9858' @ X0 @ X2)) =>
% 21.43/3.41 (((!!) @ (^[Y0 : qML_mu]:
% 21.43/3.41 (((((!!) @ (^[Y1 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y1 @ Y0 @
% 21.43/3.41 ('#sk9858' @ X0 @ X2)) =>
% 21.43/3.41 (((!!) @ (^[Y2 : qML_i]:
% 21.43/3.41 (((qML_r @
% 21.43/3.41 ('#sk9858' @ X0 @ X2) @
% 21.43/3.41 Y2) =>
% 21.43/3.41 (((??) @ (^[Y3 : qML_mu]:
% 21.43/3.41 (Y1 @ Y3 @
% 21.43/3.41 Y2)))))))))))))) =>
% 21.43/3.41 (X2 @ Y0 @ ('#sk9858' @ X0 @ X2)))))))))
% 21.43/3.41 | (inconsistency_P @ X2 @ X0))),
% 21.43/3.41 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1922])).
% 21.43/3.41 thf(zip_derived_cl1924, plain,
% 21.43/3.41 (![X0 : qML_i, X2 : qML_mu > qML_i > $o]:
% 21.43/3.41 ( (qML_r @ X0 @ ('#sk9858' @ X0 @ X2)) | (inconsistency_P @ X2 @ X0))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1923])).
% 21.43/3.41 thf(fact_8_ess__def, axiom,
% 21.43/3.41 (( incons1389517216QML_mu ) =
% 21.43/3.41 ( ^[Phi:( qML_mu > qML_i > $o ),X2:qML_mu,W2:qML_i]:
% 21.43/3.41 ( ![Y:( qML_mu > qML_i > $o )]:
% 21.43/3.41 ( ( Y @ X2 @ W2 ) =>
% 21.43/3.41 ( ![V3:qML_i]:
% 21.43/3.41 ( ( qML_r @ W2 @ V3 ) =>
% 21.43/3.41 ( ![Z:qML_mu]: ( ( Phi @ Z @ V3 ) => ( Y @ Z @ V3 ) ) ) ) ) ) ) ))).
% 21.43/3.41 thf(zip_derived_cl8, plain,
% 21.43/3.41 (((incons1389517216QML_mu)
% 21.43/3.41 = ((^[Y0 : qML_mu > qML_i > $o,Y1 : qML_mu,Y2 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y3 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((Y3 @ Y1 @ Y2) =>
% 21.43/3.41 (((!!) @ (^[Y4 : qML_i]:
% 21.43/3.41 (((qML_r @ Y2 @ Y4) =>
% 21.43/3.41 (((!!) @ (^[Y5 : qML_mu]:
% 21.43/3.41 (((Y0 @ Y5 @ Y4) =>
% 21.43/3.41 (Y3 @ Y5 @ Y4)))))))))))))))))))),
% 21.43/3.41 inference('cnf', [status(esa)], [fact_8_ess__def])).
% 21.43/3.41 thf(zip_derived_cl207, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 ((incons1389517216QML_mu @ X1 @ X2 @ X3)
% 21.43/3.41 = ((^[Y0 : qML_mu > qML_i > $o,Y1 : qML_mu,Y2 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y3 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((Y3 @ Y1 @ Y2) =>
% 21.43/3.41 (((!!) @ (^[Y4 : qML_i]:
% 21.43/3.41 (((qML_r @ Y2 @ Y4) =>
% 21.43/3.41 (((!!) @ (^[Y5 : qML_mu]:
% 21.43/3.41 (((Y0 @ Y5 @ Y4) =>
% 21.43/3.41 (Y3 @ Y5 @ Y4))))))))))))))))) @
% 21.43/3.41 X1 @ X2 @ X3))),
% 21.43/3.41 inference('ho_complete_eq', [status(thm)], [zip_derived_cl8])).
% 21.43/3.41 thf(zip_derived_cl210, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 ((incons1389517216QML_mu @ X1 @ X2 @ X3)
% 21.43/3.41 = (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((Y0 @ X2 @ X3) =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_i]:
% 21.43/3.41 (((qML_r @ X3 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu]:
% 21.43/3.41 (((X1 @ Y2 @ Y1) => (Y0 @
% 21.43/3.41 Y2 @ Y1)))))))))))))))))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl207])).
% 21.43/3.41 thf(zip_derived_cl384, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 ((incons1389517216QML_mu @ X1 @ X2 @ X3)
% 21.43/3.41 = ((^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((Y0 @ X2 @ X3) =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_i]:
% 21.43/3.41 (((qML_r @ X3 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu]:
% 21.43/3.41 (((X1 @ Y2 @ Y1) => (Y0 @ Y2 @ Y1)))))))))))))) @
% 21.43/3.41 ('#sk677' @ X1 @ X2 @ X3)))),
% 21.43/3.41 inference('quantifier_rw', [status(thm)], [zip_derived_cl210])).
% 21.43/3.41 thf(zip_derived_cl385, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 ((incons1389517216QML_mu @ X1 @ X2 @ X3)
% 21.43/3.41 = ((('#sk677' @ X1 @ X2 @ X3 @ X2 @ X3) =>
% 21.43/3.41 (((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((qML_r @ X3 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu]:
% 21.43/3.41 (((X1 @ Y1 @ Y0) => ('#sk677' @ X1 @
% 21.43/3.41 X2 @ X3 @ Y1 @ Y0))))))))))))))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl384])).
% 21.43/3.41 thf(zip_derived_cl387, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 ((incons1389517216QML_mu @ X1 @ X2 @ X3)
% 21.43/3.41 = ((('#sk677' @ X1 @ X2 @ X3 @ X2 @ X3) =>
% 21.43/3.41 ((^[Y0 : qML_i]:
% 21.43/3.41 (((qML_r @ X3 @ Y0) =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_mu]:
% 21.43/3.41 (((X1 @ Y1 @ Y0) => ('#sk677' @
% 21.43/3.41 (^[Y2 : qML_mu,Y3 : qML_i]: (X1 @ Y2 @ Y3)) @
% 21.43/3.41 X2 @ X3 @ Y1 @ Y0))))))))) @
% 21.43/3.41 ('#sk144' @ X3 @ (^[Y0 : qML_mu,Y1 : qML_i]: (X1 @ Y0 @ Y1)) @
% 21.43/3.41 ('#sk677' @ X1 @ X2 @ X3))))))),
% 21.43/3.41 inference('quantifier_rw', [status(thm)], [zip_derived_cl385])).
% 21.43/3.41 thf(zip_derived_cl391, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 ((incons1389517216QML_mu @ X1 @ X2 @ X3)
% 21.43/3.41 = ((('#sk677' @ X1 @ X2 @ X3 @ X2 @ X3) =>
% 21.43/3.41 (((qML_r @ X3 @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))) =>
% 21.43/3.41 (((!!) @ (^[Y0 : qML_mu]:
% 21.43/3.41 (((X1 @ Y0 @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))) =>
% 21.43/3.41 ('#sk677' @ X1 @ X2 @ X3 @ Y0 @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)))))))))))))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl387])).
% 21.43/3.41 thf(zip_derived_cl393, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 ((incons1389517216QML_mu @ X1 @ X2 @ X3)
% 21.43/3.41 = ((('#sk677' @ X1 @ X2 @ X3 @ X2 @ X3) =>
% 21.43/3.41 (((qML_r @ X3 @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))) =>
% 21.43/3.41 ((^[Y0 : qML_mu]:
% 21.43/3.41 (((X1 @ Y0 @
% 21.43/3.41 ('#sk144' @ X3 @
% 21.43/3.41 (^[Y1 : qML_mu,Y2 : qML_i]: (X1 @ Y1 @ Y2)) @
% 21.43/3.41 (^[Y1 : qML_mu,Y2 : qML_i]:
% 21.43/3.41 ('#sk677' @
% 21.43/3.41 (^[Y3 : qML_mu,Y4 : qML_i]: (X1 @ Y3 @ Y4)) @ X2 @
% 21.43/3.41 X3 @ Y1 @ Y2)))) =>
% 21.43/3.41 ('#sk677' @
% 21.43/3.41 (^[Y1 : qML_mu,Y2 : qML_i]: (X1 @ Y1 @ Y2)) @ X2 @ X3 @
% 21.43/3.41 Y0 @
% 21.43/3.41 ('#sk144' @ X3 @
% 21.43/3.41 (^[Y1 : qML_mu,Y2 : qML_i]: (X1 @ Y1 @ Y2)) @
% 21.43/3.41 (^[Y1 : qML_mu,Y2 : qML_i]:
% 21.43/3.41 ('#sk677' @
% 21.43/3.41 (^[Y3 : qML_mu,Y4 : qML_i]: (X1 @ Y3 @ Y4)) @ X2 @
% 21.43/3.41 X3 @ Y1 @ Y2))))))) @
% 21.43/3.41 ('#sk185' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))))))))),
% 21.43/3.41 inference('quantifier_rw', [status(thm)], [zip_derived_cl391])).
% 21.43/3.41 thf(zip_derived_cl400, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 ((incons1389517216QML_mu @ X1 @ X2 @ X3)
% 21.43/3.41 = ((('#sk677' @ X1 @ X2 @ X3 @ X2 @ X3) =>
% 21.43/3.41 (((qML_r @ X3 @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))) =>
% 21.43/3.41 (((X1 @ ('#sk185' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)) @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))) =>
% 21.43/3.41 ('#sk677' @ X1 @ X2 @ X3 @
% 21.43/3.41 ('#sk185' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)) @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))))))))))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl393])).
% 21.43/3.41 thf(zip_derived_cl420, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 ( (incons1389517216QML_mu @ X1 @ X2 @ X3)
% 21.43/3.41 | ~ ((('#sk677' @ X1 @ X2 @ X3 @ X2 @ X3) =>
% 21.43/3.41 (((qML_r @ X3 @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))) =>
% 21.43/3.41 (((X1 @ ('#sk185' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)) @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))) =>
% 21.43/3.41 ('#sk677' @ X1 @ X2 @ X3 @
% 21.43/3.41 ('#sk185' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)) @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))))))))))),
% 21.43/3.41 inference('eq_elim', [status(thm)], [zip_derived_cl400])).
% 21.43/3.41 thf(zip_derived_cl799, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 (~ (((qML_r @ X3 @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))) =>
% 21.43/3.41 (((X1 @ ('#sk185' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)) @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))) =>
% 21.43/3.41 ('#sk677' @ X1 @ X2 @ X3 @
% 21.43/3.41 ('#sk185' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)) @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)))))))
% 21.43/3.41 | (incons1389517216QML_mu @ X1 @ X2 @ X3))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl420])).
% 21.43/3.41 thf(zip_derived_cl801, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 (~ (((X1 @ ('#sk185' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)) @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3))) => ('#sk677' @
% 21.43/3.41 X1 @ X2 @ X3 @
% 21.43/3.41 ('#sk185' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)) @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)))))
% 21.43/3.41 | (incons1389517216QML_mu @ X1 @ X2 @ X3))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl799])).
% 21.43/3.41 thf(zip_derived_cl802, plain,
% 21.43/3.41 (![X1 : qML_mu > qML_i > $o, X2 : qML_mu, X3 : qML_i]:
% 21.43/3.41 ( (X1 @ ('#sk185' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)) @
% 21.43/3.41 ('#sk144' @ X3 @ X1 @ ('#sk677' @ X1 @ X2 @ X3)))
% 21.43/3.41 | (incons1389517216QML_mu @ X1 @ X2 @ X3))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl801])).
% 21.43/3.41 thf(zip_derived_cl902, plain,
% 21.43/3.41 (![X0 : qML_i, X1 : qML_mu]:
% 21.43/3.41 ( ((^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @
% 21.43/3.41 ('#sk185' @ X0 @ (^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @
% 21.43/3.41 ('#sk677' @ (^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @ X1 @ X0)) @
% 21.43/3.41 ('#sk144' @ X0 @ (^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @
% 21.43/3.41 ('#sk677' @ (^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @ X1 @ X0)))
% 21.43/3.41 | (incons1389517216QML_mu @ (^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @
% 21.43/3.41 X1 @ X0))),
% 21.43/3.41 inference('ho.refine', [status(thm)], [zip_derived_cl802])).
% 21.43/3.41 thf(zip_derived_cl908, plain,
% 21.43/3.41 (![X0 : qML_i, X1 : qML_mu]:
% 21.43/3.41 (incons1389517216QML_mu @ (^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @
% 21.43/3.41 X1 @ X0)),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl902])).
% 21.43/3.41 thf(zip_derived_cl1096, plain,
% 21.43/3.41 (![X0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (X0 @ '#sk7649' @ '#sk7650') | (inconsistency_P @ X0 @ '#sk7650'))),
% 21.43/3.41 inference('sup-', [status(thm)], [zip_derived_cl1092, zip_derived_cl161])).
% 21.43/3.41 thf(zip_derived_cl44, plain,
% 21.43/3.41 (![X2 : qML_i, X4 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]: (((~) @ (X4 @ Y0 @ Y1)))) @ X2) =>
% 21.43/3.41 (((~) @ (inconsistency_P @ X4 @ X2)))))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl43])).
% 21.43/3.41 thf(zip_derived_cl106, plain,
% 21.43/3.41 (![X0 : qML_i]:
% 21.43/3.41 (((inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((~) @ (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @ Y1 @ Y3) =>
% 21.43/3.41 (((??) @ (^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @ Y4 @ Y3))))))))))))))))) @
% 21.43/3.41 X0) =>
% 21.43/3.41 (((~) @ (inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y2 @ Y0 @
% 21.43/3.41 Y1) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @ Y1 @ Y3) =>
% 21.43/3.41 (((??) @ (^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @ Y4 @ Y3))))))))))))))) @
% 21.43/3.41 X0)))))),
% 21.43/3.41 inference('triggered_bool_instantiation', [status(thm)],
% 21.43/3.41 [zip_derived_cl44])).
% 21.43/3.41 thf(zip_derived_cl7, plain,
% 21.43/3.41 (((incons1905966852QML_mu)
% 21.43/3.41 = ((^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @ Y1 @ Y3) =>
% 21.43/3.41 (((??) @ (^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @ Y4 @ Y3)))))))))))))))))),
% 21.43/3.41 inference('cnf', [status(esa)], [fact_7_NE__def])).
% 21.43/3.41 thf(zip_derived_cl17, plain,
% 21.43/3.41 (![X2 : qML_i]: (inconsistency_P @ incons1905966852QML_mu @ X2)),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
% 21.43/3.41 thf(zip_derived_cl1680, plain,
% 21.43/3.41 (![X0 : qML_i]:
% 21.43/3.41 (((inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((~) @ (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @ Y1 @ Y3) =>
% 21.43/3.41 (((??) @ (^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @ Y4 @ Y3))))))))))))))))) @
% 21.43/3.41 X0) => (((~) @ ($true)))))),
% 21.43/3.41 inference('demod', [status(thm)],
% 21.43/3.41 [zip_derived_cl106, zip_derived_cl7, zip_derived_cl17])).
% 21.43/3.41 thf(zip_derived_cl1681, plain,
% 21.43/3.41 (![X0 : qML_i]:
% 21.43/3.41 (((~) @ (inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((~) @ (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y2 @
% 21.43/3.41 Y0 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @ Y1 @ Y3) =>
% 21.43/3.41 (((??) @ (^[Y4 : qML_mu]:
% 21.43/3.41 (
% 21.43/3.41 Y2 @
% 21.43/3.41 Y4 @ Y3))))))))))))))))) @
% 21.43/3.41 X0)))),
% 21.43/3.41 inference('simplify boolean subterms', [status(thm)],
% 21.43/3.41 [zip_derived_cl1680])).
% 21.43/3.41 thf(zip_derived_cl1682, plain,
% 21.43/3.41 (![X0 : qML_i]:
% 21.43/3.41 ~ (inconsistency_P @
% 21.43/3.41 (^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((~) @ (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @ Y1 @ Y3) =>
% 21.43/3.41 (((??) @ (^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @ Y4 @ Y3))))))))))))))))) @
% 21.43/3.41 X0)),
% 21.43/3.41 inference('simplify nested equalities', [status(thm)],
% 21.43/3.41 [zip_derived_cl1681])).
% 21.43/3.41 thf(zip_derived_cl1688, plain,
% 21.43/3.41 (~ ((^[Y0 : qML_mu,Y1 : qML_i]:
% 21.43/3.41 (((~) @ (((!!) @ (^[Y2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y2 @ Y0 @ Y1) =>
% 21.43/3.41 (((!!) @ (^[Y3 : qML_i]:
% 21.43/3.41 (((qML_r @ Y1 @ Y3) =>
% 21.43/3.41 (((??) @ (^[Y4 : qML_mu]:
% 21.43/3.41 (Y2 @ Y4 @ Y3))))))))))))))))) @
% 21.43/3.41 '#sk7649' @ '#sk7650')),
% 21.43/3.41 inference('sup-', [status(thm)], [zip_derived_cl1096, zip_derived_cl1682])).
% 21.43/3.41 thf(zip_derived_cl1692, plain,
% 21.43/3.41 (~ (((~) @ (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y0 @ '#sk7649' @
% 21.43/3.41 '#sk7650') =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_i]:
% 21.43/3.41 (((qML_r @ '#sk7650' @ Y1) =>
% 21.43/3.41 (((??) @ (^[Y2 : qML_mu]:
% 21.43/3.41 (Y0 @ Y2 @ Y1))))))))))))))))),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl1688])).
% 21.43/3.41 thf(zip_derived_cl1693, plain,
% 21.43/3.41 ( (((!!) @ (^[Y0 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ Y0 @ '#sk7649' @ '#sk7650') =>
% 21.43/3.41 (((!!) @ (^[Y1 : qML_i]:
% 21.43/3.41 (((qML_r @ '#sk7650' @ Y1) =>
% 21.43/3.41 (((??) @ (^[Y2 : qML_mu]: (Y0 @ Y2 @ Y1))))))))))))))),
% 21.43/3.41 inference('simplify nested equalities', [status(thm)],
% 21.43/3.41 [zip_derived_cl1692])).
% 21.43/3.41 thf(zip_derived_cl1704, plain,
% 21.43/3.41 (![X2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (((incons1389517216QML_mu @ X2 @ '#sk7649' @ '#sk7650') =>
% 21.43/3.41 (((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((qML_r @ '#sk7650' @ Y0) =>
% 21.43/3.41 (((??) @ (^[Y1 : qML_mu]: (X2 @ Y1 @ Y0)))))))))))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1693])).
% 21.43/3.41 thf(zip_derived_cl1715, plain,
% 21.43/3.41 (![X2 : qML_mu > qML_i > $o]:
% 21.43/3.41 (~ (incons1389517216QML_mu @ X2 @ '#sk7649' @ '#sk7650')
% 21.43/3.41 | (((!!) @ (^[Y0 : qML_i]:
% 21.43/3.41 (((qML_r @ '#sk7650' @ Y0) =>
% 21.43/3.41 (((??) @ (^[Y1 : qML_mu]: (X2 @ Y1 @ Y0))))))))))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1704])).
% 21.43/3.41 thf(zip_derived_cl1716, plain,
% 21.43/3.41 (![X2 : qML_mu > qML_i > $o, X4 : qML_i]:
% 21.43/3.41 ( (((qML_r @ '#sk7650' @ X4) =>
% 21.43/3.41 (((??) @ (^[Y0 : qML_mu]: (X2 @ Y0 @ X4))))))
% 21.43/3.41 | ~ (incons1389517216QML_mu @ X2 @ '#sk7649' @ '#sk7650'))),
% 21.43/3.41 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1715])).
% 21.43/3.41 thf(zip_derived_cl1717, plain,
% 21.43/3.41 (![X2 : qML_mu > qML_i > $o, X4 : qML_i]:
% 21.43/3.41 (~ (qML_r @ '#sk7650' @ X4)
% 21.43/3.41 | (((??) @ (^[Y0 : qML_mu]: (X2 @ Y0 @ X4))))
% 21.43/3.41 | ~ (incons1389517216QML_mu @ X2 @ '#sk7649' @ '#sk7650'))),
% 21.43/3.41 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1716])).
% 21.43/3.41 thf(zip_derived_cl1718, plain,
% 21.43/3.41 (![X2 : qML_mu > qML_i > $o, X4 : qML_i]:
% 21.43/3.41 ( (X2 @ ('#sk276' @ X2 @ X4) @ X4)
% 21.43/3.41 | ~ (incons1389517216QML_mu @ X2 @ '#sk7649' @ '#sk7650')
% 21.43/3.41 | ~ (qML_r @ '#sk7650' @ X4))),
% 21.43/3.41 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1717])).
% 21.43/3.41 thf(zip_derived_cl1721, plain,
% 21.43/3.41 (![X0 : qML_i]:
% 21.43/3.41 (~ (qML_r @ '#sk7650' @ X0)
% 21.43/3.41 | ((^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @
% 21.43/3.41 ('#sk276' @ (^[Y0 : qML_mu,Y1 : qML_i]: ($false)) @ X0) @ X0))),
% 21.43/3.41 inference('sup-', [status(thm)], [zip_derived_cl908, zip_derived_cl1718])).
% 21.43/3.41 thf(zip_derived_cl1733, plain, (![X0 : qML_i]: ~ (qML_r @ '#sk7650' @ X0)),
% 21.43/3.41 inference('ho_norm', [status(thm)], [zip_derived_cl1721])).
% 21.43/3.41 thf(zip_derived_cl1944, plain,
% 21.43/3.41 (![X0 : qML_mu > qML_i > $o]: (inconsistency_P @ X0 @ '#sk7650')),
% 21.43/3.41 inference('sup-', [status(thm)], [zip_derived_cl1924, zip_derived_cl1733])).
% 21.43/3.41 thf(zip_derived_cl1970, plain,
% 21.43/3.41 (![X2 : qML_mu > qML_i > $o]: (X2 @ '#sk7649' @ '#sk7650')),
% 21.43/3.41 inference('demod', [status(thm)],
% 21.43/3.41 [zip_derived_cl1350, zip_derived_cl1944])).
% 21.43/3.41 thf(zip_derived_cl1971, plain, ($false),
% 21.43/3.41 inference('flex_resolve', [status(thm)], [zip_derived_cl1970])).
% 21.43/3.41
% 21.43/3.41 % SZS output end Refutation
% 21.43/3.41
% 21.43/3.41
% 21.43/3.41 % Terminating...
% 22.17/3.50 % Runner terminated.
% 22.17/3.52 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------