%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV123^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zqw4zMgkaj true
% Computer : n023.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 19:59:40 EDT 2023
% Result : Theorem 4.52s 1.17s
% Output : Refutation 4.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEV123^5 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.zqw4zMgkaj true
% 0.13/0.35 % Computer : n023.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 04:04:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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 HO mode
% 0.55/0.68 % Total configuration time : 828
% 0.55/0.68 % Estimated wc time : 1656
% 0.55/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.77 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.78 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 4.52/1.17 % Solved by lams/35_full_unif4.sh.
% 4.52/1.17 % done 48 iterations in 0.390s
% 4.52/1.17 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.52/1.17 % SZS output start Refutation
% 4.52/1.17 thf(a_type, type, a: $tType).
% 4.52/1.17 thf('#sk4_type', type, '#sk4': a).
% 4.52/1.17 thf('#sk43_type', type, '#sk43': (a > a > $o) > a > a > $o).
% 4.52/1.17 thf('#sk5_type', type, '#sk5': a > a > $o).
% 4.52/1.17 thf('#sk638_type', type, '#sk638': (a > a > $o) > a).
% 4.52/1.17 thf('#sk2_type', type, '#sk2': (a > a > $o) > $o).
% 4.52/1.17 thf('#sk66_type', type, '#sk66': (a > a > $o) > a > a > $o).
% 4.52/1.17 thf('#sk630_type', type, '#sk630': (a > a > $o) > a).
% 4.52/1.17 thf('#sk26_type', type, '#sk26': (a > a > $o) > a).
% 4.52/1.17 thf('#sk3_type', type, '#sk3': a).
% 4.52/1.17 thf('#sk18_type', type, '#sk18': (a > a > $o) > a).
% 4.52/1.17 thf('#sk1_type', type, '#sk1': (a > a > $o) > $o).
% 4.52/1.17 thf(cTHM254_B_pme, conjecture,
% 4.52/1.17 (![PROP:( ( a > a > $o ) > $o ),S:( ( a > a > $o ) > $o ),Xx:a,Xy:a]:
% 4.52/1.17 ( ( ![Xp:( a > a > $o )]:
% 4.52/1.17 ( ( ( PROP @ Xp ) &
% 4.52/1.17 ( ![Xx0:a,Xy0:a]:
% 4.52/1.17 ( ( ?[R:( a > a > $o )]:
% 4.52/1.17 ( ( ?[Q:( a > a > $o )]:
% 4.52/1.17 ( ( S @ Q ) &
% 4.52/1.17 ( ( R ) =
% 4.52/1.17 ( ^[Xx1:a,Xy1:a]:
% 4.52/1.17 ( ![Xp0:( a > a > $o )]:
% 4.52/1.17 ( ( ( PROP @ Xp0 ) &
% 4.52/1.17 ( ![Xx2:a,Xy2:a]:
% 4.52/1.17 ( ( Q @ Xx2 @ Xy2 ) => ( Xp0 @ Xx2 @ Xy2 ) ) ) ) =>
% 4.52/1.17 ( Xp0 @ Xx1 @ Xy1 ) ) ) ) ) ) ) &
% 4.52/1.17 ( R @ Xx0 @ Xy0 ) ) ) =>
% 4.52/1.17 ( Xp @ Xx0 @ Xy0 ) ) ) ) =>
% 4.52/1.17 ( Xp @ Xx @ Xy ) ) ) =>
% 4.52/1.17 ( ![Xp:( a > a > $o )]:
% 4.52/1.17 ( ( ( PROP @ Xp ) &
% 4.52/1.17 ( ![Xx0:a,Xy0:a]:
% 4.52/1.17 ( ( ?[R:( a > a > $o )]: ( ( S @ R ) & ( R @ Xx0 @ Xy0 ) ) ) =>
% 4.52/1.17 ( Xp @ Xx0 @ Xy0 ) ) ) ) =>
% 4.52/1.17 ( Xp @ Xx @ Xy ) ) ) ))).
% 4.52/1.17 thf(zf_stmt_0, negated_conjecture,
% 4.52/1.17 (~( ![PROP:( ( a > a > $o ) > $o ),S:( ( a > a > $o ) > $o ),Xx:a,Xy:a]:
% 4.52/1.17 ( ( ![Xp:( a > a > $o )]:
% 4.52/1.17 ( ( ( PROP @ Xp ) &
% 4.52/1.17 ( ![Xx0:a,Xy0:a]:
% 4.52/1.17 ( ( ?[R:( a > a > $o )]:
% 4.52/1.17 ( ( ?[Q:( a > a > $o )]:
% 4.52/1.17 ( ( S @ Q ) &
% 4.52/1.17 ( ( R ) =
% 4.52/1.17 ( ^[Xx1:a,Xy1:a]:
% 4.52/1.17 ( ![Xp0:( a > a > $o )]:
% 4.52/1.17 ( ( ( PROP @ Xp0 ) &
% 4.52/1.17 ( ![Xx2:a,Xy2:a]:
% 4.52/1.17 ( ( Q @ Xx2 @ Xy2 ) =>
% 4.52/1.17 ( Xp0 @ Xx2 @ Xy2 ) ) ) ) =>
% 4.52/1.17 ( Xp0 @ Xx1 @ Xy1 ) ) ) ) ) ) ) &
% 4.52/1.17 ( R @ Xx0 @ Xy0 ) ) ) =>
% 4.52/1.17 ( Xp @ Xx0 @ Xy0 ) ) ) ) =>
% 4.52/1.17 ( Xp @ Xx @ Xy ) ) ) =>
% 4.52/1.17 ( ![Xp:( a > a > $o )]:
% 4.52/1.17 ( ( ( PROP @ Xp ) &
% 4.52/1.17 ( ![Xx0:a,Xy0:a]:
% 4.52/1.17 ( ( ?[R:( a > a > $o )]: ( ( S @ R ) & ( R @ Xx0 @ Xy0 ) ) ) =>
% 4.52/1.17 ( Xp @ Xx0 @ Xy0 ) ) ) ) =>
% 4.52/1.17 ( Xp @ Xx @ Xy ) ) ) ) )),
% 4.52/1.17 inference('cnf.neg', [status(esa)], [cTHM254_B_pme])).
% 4.52/1.17 thf(zip_derived_cl0, plain,
% 4.52/1.17 (~ (((!!) @ (^[Y0 : (a > a > $o) > $o]:
% 4.52/1.17 (((!!) @ (^[Y1 : (a > a > $o) > $o]:
% 4.52/1.17 (((!!) @ (^[Y2 : a]:
% 4.52/1.17 (((!!) @ (^[Y3 : a]:
% 4.52/1.17 (((((!!) @ (^[Y4 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 (Y0 @
% 4.52/1.17 Y4) &
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y5 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y6 : a]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 (??) @ (
% 4.52/1.17 ^[Y7 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 (??) @ (
% 4.52/1.17 ^[Y8 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 (Y1 @
% 4.52/1.17 Y8) &
% 4.52/1.17 ((
% 4.52/1.17 (Y7) =
% 4.52/1.17 ((
% 4.52/1.17 ^[Y9 : a,
% 4.52/1.17 Y10 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y11 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 (Y0 @
% 4.52/1.17 Y11) &
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y12 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y13 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (Y8 @
% 4.52/1.17 Y12 @
% 4.52/1.17 Y13) =>
% 4.52/1.17 (Y11 @
% 4.52/1.17 Y12 @
% 4.52/1.17 Y13))))))))))) =>
% 4.52/1.17 (Y11 @
% 4.52/1.17 Y9 @ Y10))))))))))))))) &
% 4.52/1.17 (Y7 @
% 4.52/1.17 Y5 @ Y6)))))) =>
% 4.52/1.17 (Y4 @
% 4.52/1.17 Y5 @ Y6))))))))))) =>
% 4.52/1.17 (Y4 @
% 4.52/1.17 Y2 @ Y3)))))) =>
% 4.52/1.17 (((!!) @ (^[Y4 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 (Y0 @
% 4.52/1.17 Y4) &
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y5 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y6 : a]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 (??) @ (
% 4.52/1.17 ^[Y7 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 (Y1 @
% 4.52/1.17 Y7) &
% 4.52/1.17 (Y7 @
% 4.52/1.17 Y5 @ Y6)))))) =>
% 4.52/1.17 (Y4 @
% 4.52/1.17 Y5 @ Y6))))))))))) =>
% 4.52/1.17 (Y4 @
% 4.52/1.17 Y2 @ Y3))))))))))))))))))))),
% 4.52/1.17 inference('cnf', [status(esa)], [zf_stmt_0])).
% 4.52/1.17 thf(zip_derived_cl1, plain,
% 4.52/1.17 (~ (((!!) @ (^[Y0 : (a > a > $o) > $o]:
% 4.52/1.17 (((!!) @ (^[Y1 : a]:
% 4.52/1.17 (((!!) @ (^[Y2 : a]:
% 4.52/1.17 (((((!!) @ (^[Y3 : a > a > $o]:
% 4.52/1.17 ((((('#sk1' @ Y3) &
% 4.52/1.17 (((!!) @ (
% 4.52/1.17 ^[Y4 : a]:
% 4.52/1.17 (((!!) @ (
% 4.52/1.17 ^[Y5 : a]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 (??) @ (
% 4.52/1.17 ^[Y6 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 (??) @ (
% 4.52/1.17 ^[Y7 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 (Y0 @
% 4.52/1.17 Y7) &
% 4.52/1.17 ((
% 4.52/1.17 (Y6) =
% 4.52/1.17 ((
% 4.52/1.17 ^[Y8 : a,
% 4.52/1.17 Y9 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y10 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 ('#sk1' @
% 4.52/1.17 Y10) &
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y11 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y12 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (Y7 @
% 4.52/1.17 Y11 @
% 4.52/1.17 Y12) =>
% 4.52/1.17 (Y10 @
% 4.52/1.17 Y11 @
% 4.52/1.17 Y12))))))))))) =>
% 4.52/1.17 (Y10 @
% 4.52/1.17 Y8 @ Y9))))))))))))))) &
% 4.52/1.17 (Y6 @
% 4.52/1.17 Y4 @ Y5)))))) =>
% 4.52/1.17 (Y3 @
% 4.52/1.17 Y4 @ Y5))))))))))) =>
% 4.52/1.17 (Y3 @ Y1 @ Y2)))))) =>
% 4.52/1.17 (((!!) @ (^[Y3 : a > a > $o]:
% 4.52/1.17 ((((('#sk1' @ Y3) &
% 4.52/1.17 (((!!) @ (
% 4.52/1.17 ^[Y4 : a]:
% 4.52/1.17 (((!!) @ (
% 4.52/1.17 ^[Y5 : a]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 (??) @ (
% 4.52/1.17 ^[Y6 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 (Y0 @
% 4.52/1.17 Y6) &
% 4.52/1.17 (Y6 @
% 4.52/1.17 Y4 @ Y5)))))) =>
% 4.52/1.17 (Y3 @
% 4.52/1.17 Y4 @ Y5))))))))))) =>
% 4.52/1.17 (Y3 @ Y1 @ Y2)))))))))))))))))),
% 4.52/1.17 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 4.52/1.17 thf(zip_derived_cl2, plain,
% 4.52/1.17 (~ (((!!) @ (^[Y0 : a]:
% 4.52/1.17 (((!!) @ (^[Y1 : a]:
% 4.52/1.17 (((((!!) @ (^[Y2 : a > a > $o]:
% 4.52/1.17 ((((('#sk1' @ Y2) &
% 4.52/1.17 (((!!) @ (^[Y3 : a]:
% 4.52/1.17 (((!!) @ (
% 4.52/1.17 ^[Y4 : a]:
% 4.52/1.17 ((((
% 4.52/1.17 (??) @ (
% 4.52/1.17 ^[Y5 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 (??) @ (
% 4.52/1.17 ^[Y6 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ('#sk2' @
% 4.52/1.17 Y6) &
% 4.52/1.17 ((
% 4.52/1.17 (Y5) =
% 4.52/1.17 ((
% 4.52/1.17 ^[Y7 : a,
% 4.52/1.17 Y8 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y9 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 ('#sk1' @
% 4.52/1.17 Y9) &
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y10 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y11 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (Y6 @
% 4.52/1.17 Y10 @
% 4.52/1.17 Y11) =>
% 4.52/1.17 (Y9 @
% 4.52/1.17 Y10 @
% 4.52/1.17 Y11))))))))))) =>
% 4.52/1.17 (Y9 @
% 4.52/1.17 Y7 @ Y8))))))))))))))) &
% 4.52/1.17 (Y5 @
% 4.52/1.17 Y3 @ Y4)))))) =>
% 4.52/1.17 (Y2 @
% 4.52/1.17 Y3 @ Y4))))))))))) =>
% 4.52/1.17 (Y2 @ Y0 @ Y1)))))) =>
% 4.52/1.17 (((!!) @ (^[Y2 : a > a > $o]:
% 4.52/1.17 ((((('#sk1' @ Y2) &
% 4.52/1.17 (((!!) @ (^[Y3 : a]:
% 4.52/1.17 (((!!) @ (
% 4.52/1.17 ^[Y4 : a]:
% 4.52/1.17 ((((
% 4.52/1.17 (??) @ (
% 4.52/1.17 ^[Y5 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ('#sk2' @
% 4.52/1.17 Y5) &
% 4.52/1.17 (Y5 @
% 4.52/1.17 Y3 @ Y4)))))) =>
% 4.52/1.17 (Y2 @
% 4.52/1.17 Y3 @ Y4))))))))))) =>
% 4.52/1.17 (Y2 @ Y0 @ Y1))))))))))))))),
% 4.52/1.17 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1])).
% 4.52/1.17 thf(zip_derived_cl3, plain,
% 4.52/1.17 (~ (((!!) @ (^[Y0 : a]:
% 4.52/1.17 (((((!!) @ (^[Y1 : a > a > $o]:
% 4.52/1.17 ((((('#sk1' @ Y1) &
% 4.52/1.17 (((!!) @ (^[Y2 : a]:
% 4.52/1.17 (((!!) @ (^[Y3 : a]:
% 4.52/1.17 (((((??) @ (
% 4.52/1.17 ^[Y4 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 (??) @ (
% 4.52/1.17 ^[Y5 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ('#sk2' @
% 4.52/1.17 Y5) &
% 4.52/1.17 ((
% 4.52/1.17 (Y4) =
% 4.52/1.17 ((
% 4.52/1.17 ^[Y6 : a,
% 4.52/1.17 Y7 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y8 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 ('#sk1' @
% 4.52/1.17 Y8) &
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y9 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y10 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (Y5 @
% 4.52/1.17 Y9 @
% 4.52/1.17 Y10) =>
% 4.52/1.17 (Y8 @
% 4.52/1.17 Y9 @ Y10))))))))))) =>
% 4.52/1.17 (Y8 @
% 4.52/1.17 Y6 @ Y7))))))))))))))) &
% 4.52/1.17 (Y4 @
% 4.52/1.17 Y2 @ Y3)))))) =>
% 4.52/1.17 (Y1 @ Y2 @ Y3))))))))))) =>
% 4.52/1.17 (Y1 @ '#sk3' @ Y0)))))) =>
% 4.52/1.17 (((!!) @ (^[Y1 : a > a > $o]:
% 4.52/1.17 ((((('#sk1' @ Y1) &
% 4.52/1.17 (((!!) @ (^[Y2 : a]:
% 4.52/1.17 (((!!) @ (^[Y3 : a]:
% 4.52/1.17 (((((??) @ (
% 4.52/1.17 ^[Y4 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ('#sk2' @
% 4.52/1.17 Y4) &
% 4.52/1.17 (Y4 @
% 4.52/1.17 Y2 @ Y3)))))) =>
% 4.52/1.17 (Y1 @ Y2 @ Y3))))))))))) =>
% 4.52/1.17 (Y1 @ '#sk3' @ Y0)))))))))))),
% 4.52/1.17 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl2])).
% 4.52/1.17 thf(zip_derived_cl4, plain,
% 4.52/1.17 (~ (((((!!) @ (^[Y0 : a > a > $o]:
% 4.52/1.17 ((((('#sk1' @ Y0) &
% 4.52/1.17 (((!!) @ (^[Y1 : a]:
% 4.52/1.17 (((!!) @ (^[Y2 : a]:
% 4.52/1.17 (((((??) @ (^[Y3 : a > a > $o]:
% 4.52/1.17 (((((??) @ (
% 4.52/1.17 ^[Y4 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ('#sk2' @
% 4.52/1.17 Y4) &
% 4.52/1.17 ((
% 4.52/1.17 (Y3) =
% 4.52/1.17 ((
% 4.52/1.17 ^[Y5 : a,
% 4.52/1.17 Y6 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y7 :
% 4.52/1.17 a > a > $o]:
% 4.52/1.17 ((
% 4.52/1.17 ((
% 4.52/1.17 ('#sk1' @
% 4.52/1.17 Y7) &
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y8 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (!!) @ (
% 4.52/1.17 ^[Y9 : a]:
% 4.52/1.17 ((
% 4.52/1.17 (Y4 @
% 4.52/1.17 Y8 @
% 4.52/1.17 Y9) =>
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% 4.52/1.17 (Y7 @
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% 4.52/1.17 (Y3 @ Y1 @
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% 4.52/1.17 (Y0 @ '#sk3' @ '#sk4')))))) =>
% 4.52/1.17 (((!!) @ (^[Y0 : a > a > $o]:
% 4.52/1.17 ((((('#sk1' @ Y0) &
% 4.52/1.17 (((!!) @ (^[Y1 : a]:
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% 4.52/1.17 (((((??) @ (^[Y3 : a > a > $o]:
% 4.52/1.17 ((('#sk2' @
% 4.52/1.17 Y3) & (Y3 @
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% 4.52/1.17 (Y0 @ Y1 @ Y2))))))))))) =>
% 4.52/1.17 (Y0 @ '#sk3' @ '#sk4'))))))))),
% 4.52/1.17 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])).
% 4.52/1.17 thf(zip_derived_cl6, plain,
% 4.52/1.17 (~ (((!!) @ (^[Y0 : a > a > $o]:
% 4.52/1.17 ((((('#sk1' @ Y0) &
% 4.52/1.17 (((!!) @ (^[Y1 : a]:
% 4.52/1.17 (((!!) @ (^[Y2 : a]:
% 4.52/1.17 (((((??) @ (^[Y3 : a > a > $o]:
% 4.52/1.17 ((('#sk2' @
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% 4.52/1.17 Y1 @ Y2)))))) =>
% 4.52/1.17 (Y0 @ Y1 @ Y2))))))))))) =>
% 4.52/1.17 (Y0 @ '#sk3' @ '#sk4'))))))),
% 4.52/1.17 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])).
% 4.52/1.17 thf(zip_derived_cl9, plain,
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% 4.52/1.17 (((!!) @ (^[Y0 : a]:
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% 4.52/1.17 (((((??) @ (^[Y2 : a > a > $o]:
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% 4.52/1.17 ('#sk5' @ Y0 @ Y1))))))))))) =>
% 4.52/1.17 ('#sk5' @ '#sk3' @ '#sk4')))),
% 4.52/1.17 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl6])).
% 4.52/1.17 thf(zip_derived_cl11, plain,
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% 4.52/1.17 (((!!) @ (^[Y0 : a]:
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% 4.52/1.17 (((((??) @ (^[Y2 : a > a > $o]:
% 4.52/1.17 ((('#sk2' @ Y2) & (Y2 @ Y0 @
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% 4.52/1.17 ('#sk5' @ Y0 @ Y1)))))))))))),
% 4.52/1.17 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])).
% 4.52/1.17 thf(zip_derived_cl14, plain, ( ('#sk1' @ '#sk5')),
% 4.52/1.17 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 4.52/1.17 thf(zip_derived_cl5, plain,
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% 4.52/1.17 ((('#sk2' @
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% 4.52/1.17 (Y7 @
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% 4.52/1.17 (Y0 @ Y1 @ Y2))))))))))) =>
% 4.52/1.17 (Y0 @ '#sk3' @ '#sk4'))))))),
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% 4.52/1.17 thf(zip_derived_cl7, plain,
% 4.52/1.17 (![X2 : a > a > $o]:
% 4.52/1.17 ((((('#sk1' @ X2) &
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% 4.52/1.17 (((((??) @ (^[Y2 : a > a > $o]:
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% 4.52/1.17 ((('#sk2' @
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% 4.52/1.17 ((
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% 4.52/1.17 (Y6 @
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% 4.52/1.17 (X2 @ Y0 @ Y1))))))))))) =>
% 4.52/1.17 (X2 @ '#sk3' @ '#sk4')))),
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% 4.52/1.17 thf(zip_derived_cl8, plain,
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% 4.52/1.17 ((
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% 4.52/1.17 ((
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% 4.52/1.17 (Y6 @
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% 4.52/1.17 (Y2 @ Y0 @ Y1)))))) =>
% 4.52/1.17 ('#sk5' @ Y0 @ Y1))))))))))) =>
% 4.52/1.17 ('#sk5' @ '#sk3' @ '#sk4')))),
% 4.52/1.17 inference('triggered_bool_instantiation', [status(thm)],
% 4.52/1.17 [zip_derived_cl7])).
% 4.52/1.17 thf(zip_derived_cl14, plain, ( ('#sk1' @ '#sk5')),
% 4.52/1.17 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 4.52/1.17 thf(zip_derived_cl12, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')),
% 4.52/1.17 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])).
% 4.52/1.17 thf(zip_derived_cl51, plain,
% 4.52/1.17 ( ((((($true) &
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% 4.52/1.17 (((((??) @ (^[Y2 : a > a > $o]:
% 4.52/1.17 (((((??) @ (^[Y3 : a > a > $o]:
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% 4.52/1.17 ((
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% 4.52/1.17 ((
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% 4.52/1.17 ((
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% 4.52/1.17 (Y6 @
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% 4.52/1.17 (Y2 @ Y0 @ Y1)))))) =>
% 4.52/1.17 ('#sk5' @ Y0 @ Y1))))))))))) =>
% 4.52/1.17 ($false)))),
% 4.52/1.17 inference('demod', [status(thm)],
% 4.52/1.17 [zip_derived_cl8, zip_derived_cl14, zip_derived_cl12])).
% 4.52/1.17 thf(zip_derived_cl52, plain,
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% 4.52/1.18 (Y6 @
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% 4.52/1.18 ('#sk5' @ Y0 @ Y1)))))))))))),
% 4.52/1.18 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl51])).
% 4.52/1.18 thf(zip_derived_cl53, plain,
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% 4.52/1.18 inference('simplify nested equalities', [status(thm)], [zip_derived_cl52])).
% 4.52/1.18 thf(zip_derived_cl54, plain,
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% 4.52/1.18 thf(zip_derived_cl60, plain,
% 4.52/1.18 ( ('#sk43' @ '#sk5' @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5'))),
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% 4.52/1.18 thf(zip_derived_cl14, plain, ( ('#sk1' @ '#sk5')),
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% 4.52/1.18 thf(zip_derived_cl7, plain,
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% 4.52/1.18 (((Y2) =
% 4.52/1.18 ((
% 4.52/1.18 ^[Y4 : a,
% 4.52/1.18 Y5 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (!!) @ (
% 4.52/1.18 ^[Y6 :
% 4.52/1.18 a > a > $o]:
% 4.52/1.18 ((
% 4.52/1.18 ((
% 4.52/1.18 ('#sk1' @
% 4.52/1.18 Y6) &
% 4.52/1.18 ((
% 4.52/1.18 (!!) @ (
% 4.52/1.18 ^[Y7 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (!!) @ (
% 4.52/1.18 ^[Y8 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (Y3 @
% 4.52/1.18 Y7 @
% 4.52/1.18 Y8) =>
% 4.52/1.18 (Y6 @
% 4.52/1.18 Y7 @ Y8))))))))))) =>
% 4.52/1.18 (Y6 @
% 4.52/1.18 Y4 @ Y5))))))))))))))) &
% 4.52/1.18 (Y2 @ Y0 @ Y1)))))) =>
% 4.52/1.18 (X2 @ Y0 @ Y1))))))))))) =>
% 4.52/1.18 (X2 @ '#sk3' @ '#sk4')))),
% 4.52/1.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl5])).
% 4.52/1.18 thf(zip_derived_cl10, plain,
% 4.52/1.18 (![X2 : a > a > $o]:
% 4.52/1.18 (~ ((('#sk1' @ X2) &
% 4.52/1.18 (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 (((((??) @ (^[Y2 : a > a > $o]:
% 4.52/1.18 (((((??) @ (^[Y3 :
% 4.52/1.18 a > a > $o]:
% 4.52/1.18 ((('#sk2' @
% 4.52/1.18 Y3) &
% 4.52/1.18 (((Y2) =
% 4.52/1.18 ((
% 4.52/1.18 ^[Y4 : a,
% 4.52/1.18 Y5 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (!!) @ (
% 4.52/1.18 ^[Y6 :
% 4.52/1.18 a > a > $o]:
% 4.52/1.18 ((
% 4.52/1.18 ((
% 4.52/1.18 ('#sk1' @
% 4.52/1.18 Y6) &
% 4.52/1.18 ((
% 4.52/1.18 (!!) @ (
% 4.52/1.18 ^[Y7 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (!!) @ (
% 4.52/1.18 ^[Y8 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (Y3 @
% 4.52/1.18 Y7 @
% 4.52/1.18 Y8) =>
% 4.52/1.18 (Y6 @
% 4.52/1.18 Y7 @ Y8))))))))))) =>
% 4.52/1.18 (Y6 @
% 4.52/1.18 Y4 @ Y5))))))))))))))) &
% 4.52/1.18 (Y2 @ Y0 @ Y1)))))) =>
% 4.52/1.18 (X2 @ Y0 @ Y1)))))))))))
% 4.52/1.18 | (X2 @ '#sk3' @ '#sk4'))),
% 4.52/1.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])).
% 4.52/1.18 thf(zip_derived_cl13, plain,
% 4.52/1.18 (![X2 : a > a > $o]:
% 4.52/1.18 (~ ('#sk1' @ X2)
% 4.52/1.18 | ~ (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 (((((??) @ (^[Y2 : a > a > $o]:
% 4.52/1.18 (((((??) @ (^[Y3 :
% 4.52/1.18 a > a > $o]:
% 4.52/1.18 ((('#sk2' @
% 4.52/1.18 Y3) &
% 4.52/1.18 (((Y2) =
% 4.52/1.18 ((
% 4.52/1.18 ^[Y4 : a,
% 4.52/1.18 Y5 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (!!) @ (
% 4.52/1.18 ^[Y6 :
% 4.52/1.18 a > a > $o]:
% 4.52/1.18 ((
% 4.52/1.18 ((
% 4.52/1.18 ('#sk1' @
% 4.52/1.18 Y6) &
% 4.52/1.18 ((
% 4.52/1.18 (!!) @ (
% 4.52/1.18 ^[Y7 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (!!) @ (
% 4.52/1.18 ^[Y8 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (Y3 @
% 4.52/1.18 Y7 @
% 4.52/1.18 Y8) =>
% 4.52/1.18 (Y6 @
% 4.52/1.18 Y7 @ Y8))))))))))) =>
% 4.52/1.18 (Y6 @
% 4.52/1.18 Y4 @ Y5))))))))))))))) &
% 4.52/1.18 (Y2 @ Y0 @ Y1)))))) =>
% 4.52/1.18 (X2 @ Y0 @ Y1)))))))))
% 4.52/1.18 | (X2 @ '#sk3' @ '#sk4'))),
% 4.52/1.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl10])).
% 4.52/1.18 thf(zip_derived_cl16, plain,
% 4.52/1.18 (![X2 : a > a > $o]:
% 4.52/1.18 (~ (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((((??) @ (^[Y1 : a > a > $o]:
% 4.52/1.18 (((((??) @ (^[Y2 : a > a > $o]:
% 4.52/1.18 ((('#sk2' @ Y2) &
% 4.52/1.18 (((Y1) =
% 4.52/1.18 ((^[Y3 : a,Y4 : a]:
% 4.52/1.18 (((!!) @ (^[Y5 :
% 4.52/1.18 a > a > $o]:
% 4.52/1.18 ((
% 4.52/1.18 ((
% 4.52/1.18 ('#sk1' @
% 4.52/1.18 Y5) &
% 4.52/1.18 ((
% 4.52/1.18 (!!) @ (
% 4.52/1.18 ^[Y6 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (!!) @ (
% 4.52/1.18 ^[Y7 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (Y2 @
% 4.52/1.18 Y6 @
% 4.52/1.18 Y7) =>
% 4.52/1.18 (Y5 @
% 4.52/1.18 Y6 @ Y7))))))))))) =>
% 4.52/1.18 (Y5 @
% 4.52/1.18 Y3 @ Y4))))))))))))))) &
% 4.52/1.18 (Y1 @ ('#sk18' @ X2) @ Y0)))))) =>
% 4.52/1.18 (X2 @ ('#sk18' @ X2) @ Y0))))))
% 4.52/1.18 | (X2 @ '#sk3' @ '#sk4')
% 4.52/1.18 | ~ ('#sk1' @ X2))),
% 4.52/1.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl13])).
% 4.52/1.18 thf(zip_derived_cl18, plain,
% 4.52/1.18 (![X2 : a > a > $o]:
% 4.52/1.18 (~ (((((??) @ (^[Y0 : a > a > $o]:
% 4.52/1.18 (((((??) @ (^[Y1 : a > a > $o]:
% 4.52/1.18 ((('#sk2' @ Y1) &
% 4.52/1.18 (((Y0) =
% 4.52/1.18 ((^[Y2 : a,Y3 : a]:
% 4.52/1.18 (((!!) @ (^[Y4 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y4) &
% 4.52/1.18 (((!!) @ (
% 4.52/1.18 ^[Y5 : a]:
% 4.52/1.18 (((!!) @ (
% 4.52/1.18 ^[Y6 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (Y1 @
% 4.52/1.18 Y5 @
% 4.52/1.18 Y6) =>
% 4.52/1.18 (Y4 @
% 4.52/1.18 Y5 @ Y6))))))))))) =>
% 4.52/1.18 (Y4 @ Y2 @ Y3))))))))))))))) &
% 4.52/1.18 (Y0 @ ('#sk18' @ X2) @ ('#sk26' @ X2))))))) =>
% 4.52/1.18 (X2 @ ('#sk18' @ X2) @ ('#sk26' @ X2))))
% 4.52/1.18 | ~ ('#sk1' @ X2)
% 4.52/1.18 | (X2 @ '#sk3' @ '#sk4'))),
% 4.52/1.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl16])).
% 4.52/1.18 thf(zip_derived_cl20, plain,
% 4.52/1.18 (![X2 : a > a > $o]:
% 4.52/1.18 ( (((??) @ (^[Y0 : a > a > $o]:
% 4.52/1.18 (((((??) @ (^[Y1 : a > a > $o]:
% 4.52/1.18 ((('#sk2' @ Y1) &
% 4.52/1.18 (((Y0) =
% 4.52/1.18 ((^[Y2 : a,Y3 : a]:
% 4.52/1.18 (((!!) @ (^[Y4 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y4) &
% 4.52/1.18 (((!!) @ (
% 4.52/1.18 ^[Y5 : a]:
% 4.52/1.18 (((!!) @ (
% 4.52/1.18 ^[Y6 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (Y1 @
% 4.52/1.18 Y5 @
% 4.52/1.18 Y6) =>
% 4.52/1.18 (Y4 @
% 4.52/1.18 Y5 @ Y6))))))))))) =>
% 4.52/1.18 (Y4 @ Y2 @ Y3))))))))))))))) &
% 4.52/1.18 (Y0 @ ('#sk18' @ X2) @ ('#sk26' @ X2)))))))
% 4.52/1.18 | (X2 @ '#sk3' @ '#sk4')
% 4.52/1.18 | ~ ('#sk1' @ X2))),
% 4.52/1.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])).
% 4.52/1.18 thf(zip_derived_cl24, plain,
% 4.52/1.18 (![X2 : a > a > $o]:
% 4.52/1.18 ( (((((??) @ (^[Y0 : a > a > $o]:
% 4.52/1.18 ((('#sk2' @ Y0) &
% 4.52/1.18 ((('#sk43' @ X2) =
% 4.52/1.18 ((^[Y1 : a,Y2 : a]:
% 4.52/1.18 (((!!) @ (^[Y3 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y3) &
% 4.52/1.18 (((!!) @ (^[Y4 : a]:
% 4.52/1.18 (((!!) @ (
% 4.52/1.18 ^[Y5 : a]:
% 4.52/1.18 (((Y0 @ Y4 @
% 4.52/1.18 Y5) =>
% 4.52/1.18 (Y3 @ Y4 @
% 4.52/1.18 Y5))))))))))) =>
% 4.52/1.18 (Y3 @ Y1 @ Y2))))))))))))))) &
% 4.52/1.18 ('#sk43' @ X2 @ ('#sk18' @ X2) @ ('#sk26' @ X2))))
% 4.52/1.18 | ~ ('#sk1' @ X2)
% 4.52/1.18 | (X2 @ '#sk3' @ '#sk4'))),
% 4.52/1.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl20])).
% 4.52/1.18 thf(zip_derived_cl28, plain,
% 4.52/1.18 (![X2 : a > a > $o]:
% 4.52/1.18 ( (((??) @ (^[Y0 : a > a > $o]:
% 4.52/1.18 ((('#sk2' @ Y0) &
% 4.52/1.18 ((('#sk43' @ X2) =
% 4.52/1.18 ((^[Y1 : a,Y2 : a]:
% 4.52/1.18 (((!!) @ (^[Y3 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y3) &
% 4.52/1.18 (((!!) @ (^[Y4 : a]:
% 4.52/1.18 (((!!) @ (^[Y5 : a]:
% 4.52/1.18 ((
% 4.52/1.18 (Y0 @
% 4.52/1.18 Y4 @
% 4.52/1.18 Y5) =>
% 4.52/1.18 (Y3 @
% 4.52/1.18 Y4 @ Y5))))))))))) =>
% 4.52/1.18 (Y3 @ Y1 @ Y2)))))))))))))))
% 4.52/1.18 | (X2 @ '#sk3' @ '#sk4')
% 4.52/1.18 | ~ ('#sk1' @ X2))),
% 4.52/1.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl24])).
% 4.52/1.18 thf(zip_derived_cl33, plain,
% 4.52/1.18 (![X2 : a > a > $o]:
% 4.52/1.18 ( ((('#sk2' @ ('#sk66' @ X2)) &
% 4.52/1.18 ((('#sk43' @ X2) =
% 4.52/1.18 ((^[Y0 : a,Y1 : a]:
% 4.52/1.18 (((!!) @ (^[Y2 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y2) &
% 4.52/1.18 (((!!) @ (^[Y3 : a]:
% 4.52/1.18 (((!!) @ (^[Y4 : a]:
% 4.52/1.18 ((('#sk66' @ X2 @
% 4.52/1.18 Y3 @ Y4) => (Y2 @
% 4.52/1.18 Y3 @ Y4))))))))))) =>
% 4.52/1.18 (Y2 @ Y0 @ Y1))))))))))))
% 4.52/1.18 | ~ ('#sk1' @ X2)
% 4.52/1.18 | (X2 @ '#sk3' @ '#sk4'))),
% 4.52/1.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl28])).
% 4.52/1.18 thf(zip_derived_cl34, plain,
% 4.52/1.18 (![X2 : a > a > $o]:
% 4.52/1.18 ( ('#sk2' @ ('#sk66' @ X2))
% 4.52/1.18 | (X2 @ '#sk3' @ '#sk4')
% 4.52/1.18 | ~ ('#sk1' @ X2))),
% 4.52/1.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl33])).
% 4.52/1.18 thf(zip_derived_cl39, plain,
% 4.52/1.18 (( ('#sk5' @ '#sk3' @ '#sk4') | ('#sk2' @ ('#sk66' @ '#sk5')))),
% 4.52/1.18 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl34])).
% 4.52/1.18 thf(zip_derived_cl12, plain, (~ ('#sk5' @ '#sk3' @ '#sk4')),
% 4.52/1.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])).
% 4.52/1.18 thf(zip_derived_cl48, plain, ( ('#sk2' @ ('#sk66' @ '#sk5'))),
% 4.52/1.18 inference('clc', [status(thm)], [zip_derived_cl39, zip_derived_cl12])).
% 4.52/1.18 thf(zip_derived_cl62, plain,
% 4.52/1.18 ( ((($true) &
% 4.52/1.18 ((('#sk43' @ '#sk5') =
% 4.52/1.18 ((^[Y0 : a,Y1 : a]:
% 4.52/1.18 (((!!) @ (^[Y2 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y2) &
% 4.52/1.18 (((!!) @ (^[Y3 : a]:
% 4.52/1.18 (((!!) @ (^[Y4 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @
% 4.52/1.18 Y3 @ Y4) => (Y2 @
% 4.52/1.18 Y3 @ Y4))))))))))) =>
% 4.52/1.18 (Y2 @ Y0 @ Y1))))))))))))),
% 4.52/1.18 inference('demod', [status(thm)], [zip_derived_cl61, zip_derived_cl48])).
% 4.52/1.18 thf(zip_derived_cl63, plain,
% 4.52/1.18 ( ((('#sk43' @ '#sk5') =
% 4.52/1.18 ((^[Y0 : a,Y1 : a]:
% 4.52/1.18 (((!!) @ (^[Y2 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y2) &
% 4.52/1.18 (((!!) @ (^[Y3 : a]:
% 4.52/1.18 (((!!) @ (^[Y4 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @
% 4.52/1.18 Y3 @ Y4) => (Y2 @ Y3 @
% 4.52/1.18 Y4))))))))))) =>
% 4.52/1.18 (Y2 @ Y0 @ Y1))))))))))),
% 4.52/1.18 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl62])).
% 4.52/1.18 thf(zip_derived_cl64, plain,
% 4.52/1.18 ((('#sk43' @ '#sk5')
% 4.52/1.18 = ((^[Y0 : a,Y1 : a]:
% 4.52/1.18 (((!!) @ (^[Y2 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y2) &
% 4.52/1.18 (((!!) @ (^[Y3 : a]:
% 4.52/1.18 (((!!) @ (^[Y4 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @
% 4.52/1.18 Y3 @ Y4) => (Y2 @
% 4.52/1.18 Y3 @ Y4))))))))))) =>
% 4.52/1.18 (Y2 @ Y0 @ Y1)))))))))),
% 4.52/1.18 inference('simplify nested equalities', [status(thm)], [zip_derived_cl63])).
% 4.52/1.18 thf(zip_derived_cl66, plain,
% 4.52/1.18 (![X1 : a, X2 : a]:
% 4.52/1.18 (('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 = ((^[Y0 : a,Y1 : a]:
% 4.52/1.18 (((!!) @ (^[Y2 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y2) &
% 4.52/1.18 (((!!) @ (^[Y3 : a]:
% 4.52/1.18 (((!!) @ (^[Y4 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @
% 4.52/1.18 Y3 @ Y4) => (Y2 @
% 4.52/1.18 Y3 @ Y4))))))))))) =>
% 4.52/1.18 (Y2 @ Y0 @ Y1))))))) @
% 4.52/1.18 X1 @ X2))),
% 4.52/1.18 inference('ho_complete_eq', [status(thm)], [zip_derived_cl64])).
% 4.52/1.18 thf(zip_derived_cl68, plain,
% 4.52/1.18 (![X1 : a, X2 : a]:
% 4.52/1.18 (('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 = (((!!) @ (^[Y0 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y0) &
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 (((!!) @ (^[Y2 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @
% 4.52/1.18 Y1 @ Y2) => (Y0 @ Y1 @
% 4.52/1.18 Y2))))))))))) =>
% 4.52/1.18 (Y0 @ X1 @ X2)))))))),
% 4.52/1.18 inference('ho_norm', [status(thm)], [zip_derived_cl66])).
% 4.52/1.18 thf(zip_derived_cl160, plain,
% 4.52/1.18 (![X-370 : a > a > $o, X1 : a, X2 : a]:
% 4.52/1.18 ( ((^[Y0 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y0) &
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 (((!!) @ (^[Y2 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ Y1 @ Y2) =>
% 4.52/1.18 (Y0 @ Y1 @ Y2))))))))))) =>
% 4.52/1.18 (Y0 @ X1 @ X2)))) @
% 4.52/1.18 X-370)
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2))),
% 4.52/1.18 inference('forall_hoist', [status(thm)], [zip_derived_cl68])).
% 4.52/1.18 thf(zip_derived_cl167, plain,
% 4.52/1.18 (![X-370 : a > a > $o, X1 : a, X2 : a]:
% 4.52/1.18 ( ((((('#sk1' @ X-370) &
% 4.52/1.18 (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ Y0 @ Y1) =>
% 4.52/1.18 (X-370 @ Y0 @ Y1))))))))))) =>
% 4.52/1.18 (X-370 @ X1 @ X2)))
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2))),
% 4.52/1.18 inference('ho_norm', [status(thm)], [zip_derived_cl160])).
% 4.52/1.18 thf(zip_derived_cl168, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 ( ((((('#sk1' @ X3) &
% 4.52/1.18 (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ Y0 @ Y1) => (X3 @
% 4.52/1.18 Y0 @ Y1))))))))))) =>
% 4.52/1.18 (X3 @ X1 @ X2)))
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2))),
% 4.52/1.18 inference('cannonize vars', [status(thm)], [zip_derived_cl167])).
% 4.52/1.18 thf(zip_derived_cl169, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 (~ ((('#sk1' @ X3) &
% 4.52/1.18 (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ Y0 @ Y1) => (X3 @
% 4.52/1.18 Y0 @ Y1)))))))))))
% 4.52/1.18 | (X3 @ X1 @ X2)
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2))),
% 4.52/1.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl168])).
% 4.52/1.18 thf(zip_derived_cl170, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 (~ ('#sk1' @ X3)
% 4.52/1.18 | ~ (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ Y0 @ Y1) => (X3 @
% 4.52/1.18 Y0 @ Y1)))))))))
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 | (X3 @ X1 @ X2))),
% 4.52/1.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl169])).
% 4.52/1.18 thf(zip_derived_cl171, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 (~ (((!!) @ (^[Y0 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ ('#sk630' @ X3) @ Y0) => (X3 @
% 4.52/1.18 ('#sk630' @ X3) @ Y0))))))
% 4.52/1.18 | (X3 @ X1 @ X2)
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 | ~ ('#sk1' @ X3))),
% 4.52/1.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl170])).
% 4.52/1.18 thf(zip_derived_cl172, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 (~ ((('#sk66' @ '#sk5' @ ('#sk630' @ X3) @ ('#sk638' @ X3)) => (X3 @
% 4.52/1.18 ('#sk630' @ X3) @ ('#sk638' @ X3))))
% 4.52/1.18 | ~ ('#sk1' @ X3)
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 | (X3 @ X1 @ X2))),
% 4.52/1.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl171])).
% 4.52/1.18 thf(zip_derived_cl174, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 (~ (X3 @ ('#sk630' @ X3) @ ('#sk638' @ X3))
% 4.52/1.18 | (X3 @ X1 @ X2)
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 | ~ ('#sk1' @ X3))),
% 4.52/1.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl172])).
% 4.52/1.18 thf(zip_derived_cl186, plain,
% 4.52/1.18 (![X0 : a > a > $o]:
% 4.52/1.18 (~ ('#sk1' @ X0)
% 4.52/1.18 | (X0 @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5'))
% 4.52/1.18 | ~ (X0 @ ('#sk630' @ X0) @ ('#sk638' @ X0)))),
% 4.52/1.18 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl174])).
% 4.52/1.18 thf(zip_derived_cl191, plain,
% 4.52/1.18 ((~ ('#sk5' @ ('#sk630' @ '#sk5') @ ('#sk638' @ '#sk5'))
% 4.52/1.18 | ('#sk5' @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5')))),
% 4.52/1.18 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl186])).
% 4.52/1.18 thf(zip_derived_cl57, plain,
% 4.52/1.18 (~ ('#sk5' @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5'))),
% 4.52/1.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl55])).
% 4.52/1.18 thf(zip_derived_cl206, plain,
% 4.52/1.18 (~ ('#sk5' @ ('#sk630' @ '#sk5') @ ('#sk638' @ '#sk5'))),
% 4.52/1.18 inference('clc', [status(thm)], [zip_derived_cl191, zip_derived_cl57])).
% 4.52/1.18 thf(zip_derived_cl14, plain, ( ('#sk1' @ '#sk5')),
% 4.52/1.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 4.52/1.18 thf(zip_derived_cl60, plain,
% 4.52/1.18 ( ('#sk43' @ '#sk5' @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5'))),
% 4.52/1.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl58])).
% 4.52/1.18 thf(zip_derived_cl64, plain,
% 4.52/1.18 ((('#sk43' @ '#sk5')
% 4.52/1.18 = ((^[Y0 : a,Y1 : a]:
% 4.52/1.18 (((!!) @ (^[Y2 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y2) &
% 4.52/1.18 (((!!) @ (^[Y3 : a]:
% 4.52/1.18 (((!!) @ (^[Y4 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @
% 4.52/1.18 Y3 @ Y4) => (Y2 @
% 4.52/1.18 Y3 @ Y4))))))))))) =>
% 4.52/1.18 (Y2 @ Y0 @ Y1)))))))))),
% 4.52/1.18 inference('simplify nested equalities', [status(thm)], [zip_derived_cl63])).
% 4.52/1.18 thf(zip_derived_cl65, plain,
% 4.52/1.18 (![X1 : a]:
% 4.52/1.18 (('#sk43' @ '#sk5' @ X1)
% 4.52/1.18 = ((^[Y0 : a,Y1 : a]:
% 4.52/1.18 (((!!) @ (^[Y2 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y2) &
% 4.52/1.18 (((!!) @ (^[Y3 : a]:
% 4.52/1.18 (((!!) @ (^[Y4 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @
% 4.52/1.18 Y3 @ Y4) => (Y2 @
% 4.52/1.18 Y3 @ Y4))))))))))) =>
% 4.52/1.18 (Y2 @ Y0 @ Y1))))))) @
% 4.52/1.18 X1))),
% 4.52/1.18 inference('ho_complete_eq', [status(thm)], [zip_derived_cl64])).
% 4.52/1.18 thf(zip_derived_cl67, plain,
% 4.52/1.18 (![X1 : a]:
% 4.52/1.18 (('#sk43' @ '#sk5' @ X1)
% 4.52/1.18 = ((^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y1) &
% 4.52/1.18 (((!!) @ (^[Y2 : a]:
% 4.52/1.18 (((!!) @ (^[Y3 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @
% 4.52/1.18 Y2 @ Y3) => (Y1 @
% 4.52/1.18 Y2 @ Y3))))))))))) =>
% 4.52/1.18 (Y1 @ X1 @ Y0)))))))))),
% 4.52/1.18 inference('ho_norm', [status(thm)], [zip_derived_cl65])).
% 4.52/1.18 thf(zip_derived_cl184, plain,
% 4.52/1.18 (![X1 : a, X2 : a]:
% 4.52/1.18 (('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 = ((^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y1) &
% 4.52/1.18 (((!!) @ (^[Y2 : a]:
% 4.52/1.18 (((!!) @ (^[Y3 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @
% 4.52/1.18 Y2 @ Y3) => (Y1 @
% 4.52/1.18 Y2 @ Y3))))))))))) =>
% 4.52/1.18 (Y1 @ X1 @ Y0))))))) @
% 4.52/1.18 X2))),
% 4.52/1.18 inference('ho_complete_eq', [status(thm)], [zip_derived_cl67])).
% 4.52/1.18 thf(zip_derived_cl185, plain,
% 4.52/1.18 (![X1 : a, X2 : a]:
% 4.52/1.18 (('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 = (((!!) @ (^[Y0 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y0) &
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 (((!!) @ (^[Y2 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @
% 4.52/1.18 Y1 @ Y2) => (Y0 @ Y1 @
% 4.52/1.18 Y2))))))))))) =>
% 4.52/1.18 (Y0 @ X1 @ X2)))))))),
% 4.52/1.18 inference('ho_norm', [status(thm)], [zip_derived_cl184])).
% 4.52/1.18 thf(zip_derived_cl212, plain,
% 4.52/1.18 (![X-658 : a > a > $o, X1 : a, X2 : a]:
% 4.52/1.18 ( ((^[Y0 : a > a > $o]:
% 4.52/1.18 ((((('#sk1' @ Y0) &
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 (((!!) @ (^[Y2 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ Y1 @ Y2) =>
% 4.52/1.18 (Y0 @ Y1 @ Y2))))))))))) =>
% 4.52/1.18 (Y0 @ X1 @ X2)))) @
% 4.52/1.18 X-658)
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2))),
% 4.52/1.18 inference('forall_hoist', [status(thm)], [zip_derived_cl185])).
% 4.52/1.18 thf(zip_derived_cl219, plain,
% 4.52/1.18 (![X-658 : a > a > $o, X1 : a, X2 : a]:
% 4.52/1.18 ( ((((('#sk1' @ X-658) &
% 4.52/1.18 (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ Y0 @ Y1) =>
% 4.52/1.18 (X-658 @ Y0 @ Y1))))))))))) =>
% 4.52/1.18 (X-658 @ X1 @ X2)))
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2))),
% 4.52/1.18 inference('ho_norm', [status(thm)], [zip_derived_cl212])).
% 4.52/1.18 thf(zip_derived_cl220, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 ( ((((('#sk1' @ X3) &
% 4.52/1.18 (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ Y0 @ Y1) => (X3 @
% 4.52/1.18 Y0 @ Y1))))))))))) =>
% 4.52/1.18 (X3 @ X1 @ X2)))
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2))),
% 4.52/1.18 inference('cannonize vars', [status(thm)], [zip_derived_cl219])).
% 4.52/1.18 thf(zip_derived_cl221, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 (~ ((('#sk1' @ X3) &
% 4.52/1.18 (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ Y0 @ Y1) => (X3 @
% 4.52/1.18 Y0 @ Y1)))))))))))
% 4.52/1.18 | (X3 @ X1 @ X2)
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2))),
% 4.52/1.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl220])).
% 4.52/1.18 thf(zip_derived_cl222, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 (~ ('#sk1' @ X3)
% 4.52/1.18 | ~ (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ Y0 @ Y1) => (X3 @
% 4.52/1.18 Y0 @ Y1)))))))))
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 | (X3 @ X1 @ X2))),
% 4.52/1.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl221])).
% 4.52/1.18 thf(zip_derived_cl223, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 (~ (((!!) @ (^[Y0 : a]:
% 4.52/1.18 ((('#sk66' @ '#sk5' @ ('#sk630' @ X3) @ Y0) => (X3 @
% 4.52/1.18 ('#sk630' @ X3) @ Y0))))))
% 4.52/1.18 | (X3 @ X1 @ X2)
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 | ~ ('#sk1' @ X3))),
% 4.52/1.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl222])).
% 4.52/1.18 thf(zip_derived_cl224, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 (~ ((('#sk66' @ '#sk5' @ ('#sk630' @ X3) @ ('#sk638' @ X3)) => (X3 @
% 4.52/1.18 ('#sk630' @ X3) @ ('#sk638' @ X3))))
% 4.52/1.18 | ~ ('#sk1' @ X3)
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 | (X3 @ X1 @ X2))),
% 4.52/1.18 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl223])).
% 4.52/1.18 thf(zip_derived_cl225, plain,
% 4.52/1.18 (![X1 : a, X2 : a, X3 : a > a > $o]:
% 4.52/1.18 ( ('#sk66' @ '#sk5' @ ('#sk630' @ X3) @ ('#sk638' @ X3))
% 4.52/1.18 | (X3 @ X1 @ X2)
% 4.52/1.18 | ~ ('#sk43' @ '#sk5' @ X1 @ X2)
% 4.52/1.18 | ~ ('#sk1' @ X3))),
% 4.52/1.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl224])).
% 4.52/1.18 thf(zip_derived_cl227, plain,
% 4.52/1.18 (![X0 : a > a > $o]:
% 4.52/1.18 (~ ('#sk1' @ X0)
% 4.52/1.18 | (X0 @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5'))
% 4.52/1.18 | ('#sk66' @ '#sk5' @ ('#sk630' @ X0) @ ('#sk638' @ X0)))),
% 4.52/1.18 inference('sup-', [status(thm)], [zip_derived_cl60, zip_derived_cl225])).
% 4.52/1.18 thf(zip_derived_cl233, plain,
% 4.52/1.18 (( ('#sk66' @ '#sk5' @ ('#sk630' @ '#sk5') @ ('#sk638' @ '#sk5'))
% 4.52/1.18 | ('#sk5' @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5')))),
% 4.52/1.18 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl227])).
% 4.52/1.18 thf(zip_derived_cl57, plain,
% 4.52/1.18 (~ ('#sk5' @ ('#sk18' @ '#sk5') @ ('#sk26' @ '#sk5'))),
% 4.52/1.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl55])).
% 4.52/1.18 thf(zip_derived_cl235, plain,
% 4.52/1.18 ( ('#sk66' @ '#sk5' @ ('#sk630' @ '#sk5') @ ('#sk638' @ '#sk5'))),
% 4.52/1.18 inference('demod', [status(thm)], [zip_derived_cl233, zip_derived_cl57])).
% 4.52/1.18 thf(zip_derived_cl48, plain, ( ('#sk2' @ ('#sk66' @ '#sk5'))),
% 4.52/1.18 inference('clc', [status(thm)], [zip_derived_cl39, zip_derived_cl12])).
% 4.52/1.18 thf(zip_derived_cl15, plain,
% 4.52/1.18 ( (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((!!) @ (^[Y1 : a]:
% 4.52/1.18 (((((??) @ (^[Y2 : a > a > $o]:
% 4.52/1.18 ((('#sk2' @ Y2) & (Y2 @ Y0 @ Y1)))))) =>
% 4.52/1.18 ('#sk5' @ Y0 @ Y1)))))))))),
% 4.52/1.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl11])).
% 4.52/1.18 thf(zip_derived_cl17, plain,
% 4.52/1.18 (![X2 : a]:
% 4.52/1.18 (((!!) @ (^[Y0 : a]:
% 4.52/1.18 (((((??) @ (^[Y1 : a > a > $o]:
% 4.52/1.18 ((('#sk2' @ Y1) & (Y1 @ X2 @ Y0)))))) =>
% 4.52/1.18 ('#sk5' @ X2 @ Y0))))))),
% 4.52/1.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl15])).
% 4.52/1.18 thf(zip_derived_cl19, plain,
% 4.52/1.18 (![X2 : a, X4 : a]:
% 4.52/1.18 (((((??) @ (^[Y0 : a > a > $o]: ((('#sk2' @ Y0) & (Y0 @ X2 @ X4)))))) =>
% 4.52/1.18 ('#sk5' @ X2 @ X4)))),
% 4.52/1.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl17])).
% 4.52/1.18 thf(zip_derived_cl22, plain,
% 4.52/1.18 (![X2 : a, X4 : a]:
% 4.52/1.18 (~ (((??) @ (^[Y0 : a > a > $o]: ((('#sk2' @ Y0) & (Y0 @ X2 @ X4))))))
% 4.52/1.18 | ('#sk5' @ X2 @ X4))),
% 4.52/1.18 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl19])).
% 4.52/1.18 thf(zip_derived_cl25, plain,
% 4.52/1.18 (![X2 : a, X4 : a, X6 : a > a > $o]:
% 4.52/1.18 (~ ((('#sk2' @ X6) & (X6 @ X2 @ X4))) | ('#sk5' @ X2 @ X4))),
% 4.52/1.18 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl22])).
% 4.52/1.18 thf(zip_derived_cl30, plain,
% 4.52/1.18 (![X2 : a, X4 : a, X6 : a > a > $o]:
% 4.52/1.18 (~ ('#sk2' @ X6) | ~ (X6 @ X2 @ X4) | ('#sk5' @ X2 @ X4))),
% 4.52/1.18 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl25])).
% 4.52/1.18 thf(zip_derived_cl114, plain,
% 4.52/1.18 (![X0 : a, X1 : a]:
% 4.52/1.18 ( ('#sk5' @ X1 @ X0) | ~ ('#sk66' @ '#sk5' @ X1 @ X0))),
% 4.52/1.18 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl30])).
% 4.52/1.18 thf(zip_derived_cl237, plain,
% 4.52/1.18 ( ('#sk5' @ ('#sk630' @ '#sk5') @ ('#sk638' @ '#sk5'))),
% 4.52/1.18 inference('sup-', [status(thm)], [zip_derived_cl235, zip_derived_cl114])).
% 4.52/1.18 thf(zip_derived_cl241, plain, ($false),
% 4.52/1.18 inference('demod', [status(thm)], [zip_derived_cl206, zip_derived_cl237])).
% 4.52/1.18
% 4.52/1.18 % SZS output end Refutation
% 4.52/1.18
% 4.52/1.18
% 4.52/1.19 % Terminating...
% 5.16/1.28 % Runner terminated.
% 5.16/1.30 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------