%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEV170^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.v5nxasjNWH true
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 04:57:18 PM UTC 2025
% Result : Theorem 134.36s 17.52s
% Output : Refutation 134.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SEV170^5 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.v5nxasjNWH true
% 0.14/0.35 % Computer : n002.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 : Wed Oct 1 15:40:53 EDT 2025
% 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
% 0.52/0.65 % Total configuration time : 828
% 0.52/0.65 % Estimated wc time : 1656
% 0.52/0.65 % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.75 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 134.36/17.52 % Solved by lams/40_c_ic.sh.
% 134.36/17.52 % done 152 iterations in 16.732s
% 134.36/17.52 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 134.36/17.52 % SZS output start Refutation
% 134.36/17.52 thf(a_type, type, a: $tType).
% 134.36/17.52 thf(sk__1_type, type, sk__1: ((a > a > a) > a) > a > a > a).
% 134.36/17.52 thf(sk__7_type, type, sk__7: (a > a > a) > a).
% 134.36/17.52 thf('#l_lift36469_type', type, '#l_lift36469': a > ((a > a > a) > a) >
% 134.36/17.52 (a > a > a) > a).
% 134.36/17.52 thf('#l_lift36462_type', type, '#l_lift36462': a > a > a).
% 134.36/17.52 thf(sk__5_type, type, sk__5: a).
% 134.36/17.52 thf(zip_tseitin_0_type, type, zip_tseitin_0: ((a > a > a) > a) >
% 134.36/17.52 ((a > a > a) > a) >
% 134.36/17.52 (a > a > a > a > $o) > $o).
% 134.36/17.52 thf('#l_lift36473_type', type, '#l_lift36473': a > (a > a > a) > a).
% 134.36/17.52 thf(sk__2_type, type, sk__2: a > a > a > a > $o).
% 134.36/17.52 thf(sk__8_type, type, sk__8: (a > a > a) > a).
% 134.36/17.52 thf('#l_lift36474_type', type, '#l_lift36474': a > (a > a > a) > a).
% 134.36/17.52 thf(sk__4_type, type, sk__4: a).
% 134.36/17.52 thf(sk__6_type, type, sk__6: a).
% 134.36/17.52 thf('#l_lift36463_type', type, '#l_lift36463': a > a > a).
% 134.36/17.52 thf(sk__type, type, sk_: ((a > a > a) > a) > a > a > a).
% 134.36/17.52 thf('#l_lift36466_type', type, '#l_lift36466': a > (a > a > a) > a).
% 134.36/17.52 thf('#l_lift36465_type', type, '#l_lift36465': a > (a > a > a) > a).
% 134.36/17.52 thf(sk__3_type, type, sk__3: a).
% 134.36/17.52 thf(zip_tseitin_1_type, type, zip_tseitin_1: a > a > a > a > $o).
% 134.36/17.52 thf('#l_lift36464_type', type, '#l_lift36464': a > ((a > a > a) > a) >
% 134.36/17.52 (a > a > a) > a).
% 134.36/17.52 thf(cTHM190_pme, conjecture,
% 134.36/17.52 (![Xr:( a > a > a > a > $o )]:
% 134.36/17.52 ( ( ![Xp:( ( a > a > a ) > a ),Xq:( ( a > a > a ) > a )]:
% 134.36/17.52 ( ( ( Xr @
% 134.36/17.52 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @
% 134.36/17.52 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) @
% 134.36/17.52 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @
% 134.36/17.52 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) &
% 134.36/17.52 ( ![Xg:( a > a > a )]:
% 134.36/17.52 ( ( Xq @ Xg ) =
% 134.36/17.52 ( Xg @
% 134.36/17.52 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @
% 134.36/17.52 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) ) ) &
% 134.36/17.52 ( ![Xg:( a > a > a )]:
% 134.36/17.52 ( ( Xp @ Xg ) =
% 134.36/17.52 ( Xg @
% 134.36/17.52 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @
% 134.36/17.52 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) ) ) ) =>
% 134.36/17.52 ( ( Xp ) = ( Xq ) ) ) ) <=>
% 134.36/17.52 ( ![Xx1:a,Xy1:a,Xx2:a,Xy2:a]:
% 134.36/17.52 ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 ) =>
% 134.36/17.52 ( ( ( Xy1 ) = ( Xy2 ) ) & ( ( Xx1 ) = ( Xx2 ) ) ) ) ) ))).
% 134.36/17.52 thf(zf_stmt_0, axiom,
% 134.36/17.52 (![Xy2:a,Xx2:a,Xy1:a,Xx1:a]:
% 134.36/17.52 ( ( zip_tseitin_1 @ Xy2 @ Xx2 @ Xy1 @ Xx1 ) <=>
% 134.36/17.52 ( ( ( Xx1 ) = ( Xx2 ) ) & ( ( Xy1 ) = ( Xy2 ) ) ) ))).
% 134.36/17.52 thf(zip_derived_cl6, plain,
% 134.36/17.52 (![X0 : a, X1 : a, X2 : a, X3 : a]:
% 134.36/17.52 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3)
% 134.36/17.52 | ((X2) != (X0))
% 134.36/17.52 | ((X3) != (X1)))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 134.36/17.52 thf(zf_stmt_1, axiom,
% 134.36/17.52 (![Xq:( ( a > a > a ) > a ),Xp:( ( a > a > a ) > a ),
% 134.36/17.52 Xr:( a > a > a > a > $o )]:
% 134.36/17.52 ( ( zip_tseitin_0 @ Xq @ Xp @ Xr ) <=>
% 134.36/17.52 ( ( ![Xg:( a > a > a )]:
% 134.36/17.52 ( ( Xp @ Xg ) =
% 134.36/17.52 ( Xg @
% 134.36/17.52 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @
% 134.36/17.52 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) ) ) &
% 134.36/17.52 ( ![Xg:( a > a > a )]:
% 134.36/17.52 ( ( Xq @ Xg ) =
% 134.36/17.52 ( Xg @
% 134.36/17.52 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @
% 134.36/17.52 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) ) ) &
% 134.36/17.52 ( Xr @
% 134.36/17.52 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @
% 134.36/17.52 ( Xp @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) @
% 134.36/17.52 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xx ) ) ) @
% 134.36/17.52 ( Xq @ ( ^[Xx:a,Xy:a]: ( Xy ) ) ) ) ) ))).
% 134.36/17.52 thf(zip_derived_cl1, plain,
% 134.36/17.52 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a,
% 134.36/17.52 X3 : a > a > a > a > $o]:
% 134.36/17.52 (((X1 @ X0)
% 134.36/17.52 = (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1)))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X1 @ X2 @ X3))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl0, plain,
% 134.36/17.52 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a,
% 134.36/17.52 X3 : a > a > a > a > $o]:
% 134.36/17.52 (((X1 @ X0)
% 134.36/17.52 = (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1)))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X2 @ X1 @ X3))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl4436, plain,
% 134.36/17.52 (![X4 : a, X5 : a]: (('#l_lift36462' @ X4 @ X5) = (X4))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl0, plain,
% 134.36/17.52 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a,
% 134.36/17.52 X3 : a > a > a > a > $o]:
% 134.36/17.52 (((X1 @ X0)
% 134.36/17.52 = (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1)))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X2 @ X1 @ X3))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl4437, plain,
% 134.36/17.52 (![X6 : a, X7 : a]: (('#l_lift36463' @ X6 @ X7) = (X7))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4439, plain,
% 134.36/17.52 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a,
% 134.36/17.52 X3 : a > a > a > a > $o]:
% 134.36/17.52 (((X1 @ X0) = (X0 @ (X1 @ '#l_lift36462') @ (X1 @ '#l_lift36463')))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X1 @ X2 @ X3))),
% 134.36/17.52 inference('lambda_lifting', [status(thm)],
% 134.36/17.52 [zip_derived_cl1, zip_derived_cl4436, zip_derived_cl4437])).
% 134.36/17.52 thf(zip_derived_cl0, plain,
% 134.36/17.52 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a,
% 134.36/17.52 X3 : a > a > a > a > $o]:
% 134.36/17.52 (((X1 @ X0)
% 134.36/17.52 = (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1)))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X2 @ X1 @ X3))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl4436, plain,
% 134.36/17.52 (![X4 : a, X5 : a]: (('#l_lift36462' @ X4 @ X5) = (X4))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4437, plain,
% 134.36/17.52 (![X6 : a, X7 : a]: (('#l_lift36463' @ X6 @ X7) = (X7))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4438, plain,
% 134.36/17.52 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a,
% 134.36/17.52 X3 : a > a > a > a > $o]:
% 134.36/17.52 (((X1 @ X0) = (X0 @ (X1 @ '#l_lift36462') @ (X1 @ '#l_lift36463')))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X2 @ X1 @ X3))),
% 134.36/17.52 inference('lambda_lifting', [status(thm)],
% 134.36/17.52 [zip_derived_cl0, zip_derived_cl4436, zip_derived_cl4437])).
% 134.36/17.52 thf(zip_derived_cl5, plain,
% 134.36/17.52 (![X0 : a, X1 : a, X2 : a, X3 : a]:
% 134.36/17.52 (((X1) = (X0)) | ~ (zip_tseitin_1 @ X0 @ X2 @ X1 @ X3))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 134.36/17.52 thf(zip_derived_cl2, plain,
% 134.36/17.52 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]:
% 134.36/17.52 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @
% 134.36/17.52 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X2 @ X1 @ X0))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl4436, plain,
% 134.36/17.52 (![X4 : a, X5 : a]: (('#l_lift36462' @ X4 @ X5) = (X4))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4437, plain,
% 134.36/17.52 (![X6 : a, X7 : a]: (('#l_lift36463' @ X6 @ X7) = (X7))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4436, plain,
% 134.36/17.52 (![X4 : a, X5 : a]: (('#l_lift36462' @ X4 @ X5) = (X4))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4437, plain,
% 134.36/17.52 (![X6 : a, X7 : a]: (('#l_lift36463' @ X6 @ X7) = (X7))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4440, plain,
% 134.36/17.52 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]:
% 134.36/17.52 ( (X0 @ (X1 @ '#l_lift36462') @ (X1 @ '#l_lift36463') @
% 134.36/17.52 (X2 @ '#l_lift36462') @ (X2 @ '#l_lift36463'))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X2 @ X1 @ X0))),
% 134.36/17.52 inference('lambda_lifting', [status(thm)],
% 134.36/17.52 [zip_derived_cl2, zip_derived_cl4436, zip_derived_cl4437,
% 134.36/17.52 zip_derived_cl4436, zip_derived_cl4437])).
% 134.36/17.52 thf(zip_derived_cl4, plain,
% 134.36/17.52 (![X0 : a, X1 : a, X2 : a, X3 : a]:
% 134.36/17.52 (((X1) = (X0)) | ~ (zip_tseitin_1 @ X2 @ X0 @ X3 @ X1))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_0])).
% 134.36/17.52 thf(zf_stmt_2, type, zip_tseitin_1 : a > a > a > a > $o).
% 134.36/17.52 thf(zf_stmt_3, type, zip_tseitin_0 :
% 134.36/17.52 ( ( a > a > a ) > a ) > ( ( a > a > a ) > a ) > ( a > a > a > a > $o ) >
% 134.36/17.52 $o).
% 134.36/17.52 thf(zf_stmt_4, conjecture,
% 134.36/17.52 (![Xr:( a > a > a > a > $o )]:
% 134.36/17.52 ( ( ![Xp:( ( a > a > a ) > a ),Xq:( ( a > a > a ) > a )]:
% 134.36/17.52 ( ( zip_tseitin_0 @ Xq @ Xp @ Xr ) => ( ( Xp ) = ( Xq ) ) ) ) <=>
% 134.36/17.52 ( ![Xx1:a,Xy1:a,Xx2:a,Xy2:a]:
% 134.36/17.52 ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 ) =>
% 134.36/17.52 ( zip_tseitin_1 @ Xy2 @ Xx2 @ Xy1 @ Xx1 ) ) ) ))).
% 134.36/17.52 thf(zf_stmt_5, negated_conjecture,
% 134.36/17.52 (~( ![Xr:( a > a > a > a > $o )]:
% 134.36/17.52 ( ( ![Xp:( ( a > a > a ) > a ),Xq:( ( a > a > a ) > a )]:
% 134.36/17.52 ( ( zip_tseitin_0 @ Xq @ Xp @ Xr ) => ( ( Xp ) = ( Xq ) ) ) ) <=>
% 134.36/17.52 ( ![Xx1:a,Xy1:a,Xx2:a,Xy2:a]:
% 134.36/17.52 ( ( Xr @ Xx1 @ Xy1 @ Xx2 @ Xy2 ) =>
% 134.36/17.52 ( zip_tseitin_1 @ Xy2 @ Xx2 @ Xy1 @ Xx1 ) ) ) ) )),
% 134.36/17.52 inference('cnf.neg', [status(esa)], [zf_stmt_4])).
% 134.36/17.52 thf(zip_derived_cl8, plain,
% 134.36/17.52 ((~ (zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3)
% 134.36/17.52 | ((sk__7) != (sk__8)))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_5])).
% 134.36/17.52 thf(zip_derived_cl10, plain,
% 134.36/17.52 (( (sk__2 @ sk__3 @ sk__4 @ sk__5 @ sk__6) | ((sk__7) != (sk__8)))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_5])).
% 134.36/17.52 thf(zip_derived_cl9, plain,
% 134.36/17.52 ((~ (zip_tseitin_1 @ sk__6 @ sk__5 @ sk__4 @ sk__3)
% 134.36/17.52 | (zip_tseitin_0 @ sk__8 @ sk__7 @ sk__2))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_5])).
% 134.36/17.52 thf(zip_derived_cl11, plain,
% 134.36/17.52 (( (sk__2 @ sk__3 @ sk__4 @ sk__5 @ sk__6)
% 134.36/17.52 | (zip_tseitin_0 @ sk__8 @ sk__7 @ sk__2))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_5])).
% 134.36/17.52 thf(zip_derived_cl2, plain,
% 134.36/17.52 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]:
% 134.36/17.52 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @
% 134.36/17.52 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X2 @ X1 @ X0))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl2, plain,
% 134.36/17.52 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]:
% 134.36/17.52 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @
% 134.36/17.52 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X2 @ X1 @ X0))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl471, plain,
% 134.36/17.52 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a]:
% 134.36/17.52 ( ((^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: (X0)) @
% 134.36/17.52 ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y1))) @
% 134.36/17.52 ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 ((^[Y0 : a > a > a]: (X2)) @ (^[Y0 : a,Y1 : a]: (Y1))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X1 @
% 134.36/17.52 (^[Y0 : a > a > a]:
% 134.36/17.52 (Y0 @ (X3 @ Y0) @ ((^[Y1 : a > a > a]: (X2)) @ Y0))) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @
% 134.36/17.52 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y5)) @
% 134.36/17.52 Y0 @ Y1 @ Y2 @ Y3) @
% 134.36/17.52 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y5)) @
% 134.36/17.52 Y0 @ Y1 @ Y2 @ Y3) @
% 134.36/17.52 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a,Y9 : a,Y10 : a,
% 134.36/17.52 Y11 : a]:
% 134.36/17.52 (X0)) @
% 134.36/17.52 Y0 @ Y1 @ Y2 @ Y3)))))),
% 134.36/17.52 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 134.36/17.52 thf(zip_derived_cl473, plain,
% 134.36/17.52 (![X0 : $o, X1 : (a > a > a) > a, X2 : a, X3 : (a > a > a) > a]:
% 134.36/17.52 ( (X0)
% 134.36/17.52 | ~ (zip_tseitin_0 @ X1 @
% 134.36/17.52 (^[Y0 : a > a > a]: (Y0 @ (X3 @ Y0) @ X2)) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @ (^[Y4 : a > a > a]: (Y1)) @
% 134.36/17.52 (^[Y4 : a > a > a]: (Y1)) @
% 134.36/17.52 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))))),
% 134.36/17.52 inference('ho_norm', [status(thm)], [zip_derived_cl471])).
% 134.36/17.52 thf(zip_derived_cl4449, plain,
% 134.36/17.52 (![X2 : a, X3 : (a > a > a) > a, X4 : a > a > a]:
% 134.36/17.52 (('#l_lift36469' @ X2 @ X3 @ X4) = (X4 @ (X3 @ X4) @ X2))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4437, plain,
% 134.36/17.52 (![X6 : a, X7 : a]: (('#l_lift36463' @ X6 @ X7) = (X7))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4436, plain,
% 134.36/17.52 (![X4 : a, X5 : a]: (('#l_lift36462' @ X4 @ X5) = (X4))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl7, plain,
% 134.36/17.52 (![X0 : a, X1 : a, X2 : a, X3 : a, X4 : (a > a > a) > a,
% 134.36/17.52 X5 : (a > a > a) > a]:
% 134.36/17.52 (~ (sk__2 @ X0 @ X1 @ X2 @ X3)
% 134.36/17.52 | (zip_tseitin_1 @ X3 @ X2 @ X1 @ X0)
% 134.36/17.52 | ~ (zip_tseitin_0 @ X4 @ X5 @ sk__2)
% 134.36/17.52 | ((X5) = (X4)))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_5])).
% 134.36/17.52 thf(zip_derived_cl2, plain,
% 134.36/17.52 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]:
% 134.36/17.52 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @
% 134.36/17.52 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X2 @ X1 @ X0))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl2, plain,
% 134.36/17.52 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]:
% 134.36/17.52 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @
% 134.36/17.52 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X2 @ X1 @ X0))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl447, plain,
% 134.36/17.52 (![X0 : $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a, X3 : a]:
% 134.36/17.52 ( ((^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]: (X0)) @
% 134.36/17.52 ((^[Y0 : a > a > a]: (X3)) @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 ((^[Y0 : a > a > a]: (X3)) @ (^[Y0 : a,Y1 : a]: (Y1))) @
% 134.36/17.52 ((^[Y0 : a > a > a]: (X3)) @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 ((^[Y0 : a > a > a]: (X3)) @ (^[Y0 : a,Y1 : a]: (Y1))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X1 @
% 134.36/17.52 (^[Y0 : a > a > a]:
% 134.36/17.52 (Y0 @ ((^[Y1 : a > a > a]: (X3)) @ Y0) @ (X2 @ Y0))) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @
% 134.36/17.52 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y4)) @
% 134.36/17.52 Y0 @ Y1 @ Y2 @ Y3) @
% 134.36/17.52 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y4)) @
% 134.36/17.52 Y0 @ Y1 @ Y2 @ Y3) @
% 134.36/17.52 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a,Y9 : a,Y10 : a,
% 134.36/17.52 Y11 : a]:
% 134.36/17.52 (X0)) @
% 134.36/17.52 Y0 @ Y1 @ Y2 @ Y3)))))),
% 134.36/17.52 inference('sup+', [status(thm)], [zip_derived_cl2, zip_derived_cl2])).
% 134.36/17.52 thf(zip_derived_cl452, plain,
% 134.36/17.52 (![X0 : $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a, X3 : a]:
% 134.36/17.52 ( (X0)
% 134.36/17.52 | ~ (zip_tseitin_0 @ X1 @
% 134.36/17.52 (^[Y0 : a > a > a]: (Y0 @ X3 @ (X2 @ Y0))) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @ (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))))),
% 134.36/17.52 inference('ho_norm', [status(thm)], [zip_derived_cl447])).
% 134.36/17.52 thf(zip_derived_cl4464, plain,
% 134.36/17.52 (![X6 : a, X7 : a > a > a]: (('#l_lift36474' @ X6 @ X7) = (X6))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl2, plain,
% 134.36/17.52 (![X0 : a > a > a > a > $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a]:
% 134.36/17.52 ( (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @
% 134.36/17.52 (X2 @ (^[Y0 : a,Y1 : a]: (Y0))) @ (X2 @ (^[Y0 : a,Y1 : a]: (Y1))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X2 @ X1 @ X0))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl1, plain,
% 134.36/17.52 (![X0 : a > a > a, X1 : (a > a > a) > a, X2 : (a > a > a) > a,
% 134.36/17.52 X3 : a > a > a > a > $o]:
% 134.36/17.52 (((X1 @ X0)
% 134.36/17.52 = (X0 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1)))))
% 134.36/17.52 | ~ (zip_tseitin_0 @ X1 @ X2 @ X3))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl516, plain,
% 134.36/17.52 (![X0 : $o, X1 : a, X2 : (a > a > a) > a, X3 : (a > a > a) > a,
% 134.36/17.52 X4 : a > a > a]:
% 134.36/17.52 (~ (zip_tseitin_0 @ X2 @
% 134.36/17.52 (^[Y0 : a > a > a]:
% 134.36/17.52 (Y0 @ ((^[Y1 : a > a > a]: (X1)) @ Y0) @ (X3 @ Y0))) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @
% 134.36/17.52 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y4)) @ Y0 @
% 134.36/17.52 Y1 @ Y2 @ Y3) @
% 134.36/17.52 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a > a > a]: (Y4)) @ Y0 @
% 134.36/17.52 Y1 @ Y2 @ Y3) @
% 134.36/17.52 ((^[Y4 : a,Y5 : a,Y6 : a,Y7 : a,Y8 : a,Y9 : a,Y10 : a,Y11 : a]:
% 134.36/17.52 (X0)) @
% 134.36/17.52 Y0 @ Y1 @ Y2 @ Y3))))
% 134.36/17.52 | (((^[Y0 : a > a > a]: (X1)) @ X4)
% 134.36/17.52 = (X4 @ ((^[Y0 : a > a > a]: (X1)) @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 ((^[Y0 : a > a > a]: (X1)) @ (^[Y0 : a,Y1 : a]: (Y1))))))),
% 134.36/17.52 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl1])).
% 134.36/17.52 thf(zip_derived_cl524, plain,
% 134.36/17.52 (![X0 : $o, X1 : a, X2 : (a > a > a) > a, X3 : (a > a > a) > a,
% 134.36/17.52 X4 : a > a > a]:
% 134.36/17.52 (~ (zip_tseitin_0 @ X2 @ (^[Y0 : a > a > a]: (Y0 @ X1 @ (X3 @ Y0))) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @ (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0)))))
% 134.36/17.52 | ((X1) = (X4 @ X1 @ X1)))),
% 134.36/17.52 inference('ho_norm', [status(thm)], [zip_derived_cl516])).
% 134.36/17.52 thf(zip_derived_cl525, plain,
% 134.36/17.52 (![X0 : $o, X1 : a, X2 : (a > a > a) > a, X3 : (a > a > a) > a, X4 : a]:
% 134.36/17.52 (~ (zip_tseitin_0 @ X2 @ (^[Y0 : a > a > a]: (Y0 @ X1 @ (X3 @ Y0))) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @ (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0)))))
% 134.36/17.52 | ((X1) = ((^[Y0 : a,Y1 : a]: (X4)) @ X1 @ X1)))),
% 134.36/17.52 inference('prune_arg_fun', [status(thm)], [zip_derived_cl524])).
% 134.36/17.52 thf(zip_derived_cl526, plain,
% 134.36/17.52 (![X0 : $o, X1 : a, X2 : (a > a > a) > a, X3 : (a > a > a) > a, X4 : a]:
% 134.36/17.52 (~ (zip_tseitin_0 @ X2 @ (^[Y0 : a > a > a]: (Y0 @ X1 @ (X3 @ Y0))) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @ (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0)))))
% 134.36/17.52 | ((X1) = (X4)))),
% 134.36/17.52 inference('ho_norm', [status(thm)], [zip_derived_cl525])).
% 134.36/17.52 thf(zip_derived_cl4442, plain,
% 134.36/17.52 (![X1 : a, X3 : (a > a > a) > a, X5 : a > a > a]:
% 134.36/17.52 (('#l_lift36464' @ X1 @ X3 @ X5) = (X5 @ X1 @ (X3 @ X5)))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl3, plain,
% 134.36/17.52 (![X0 : (a > a > a) > a, X1 : (a > a > a) > a, X2 : a > a > a > a > $o]:
% 134.36/17.52 ( (zip_tseitin_0 @ X0 @ X1 @ X2)
% 134.36/17.52 | ~ (X2 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))) @
% 134.36/17.52 (X0 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X0 @ (^[Y0 : a,Y1 : a]: (Y1))))
% 134.36/17.52 | ((X0 @ (sk_ @ X0))
% 134.36/17.52 != (sk_ @ X0 @ (X0 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X0 @ (^[Y0 : a,Y1 : a]: (Y1)))))
% 134.36/17.52 | ((X1 @ (sk__1 @ X1))
% 134.36/17.52 != (sk__1 @ X1 @ (X1 @ (^[Y0 : a,Y1 : a]: (Y0))) @
% 134.36/17.52 (X1 @ (^[Y0 : a,Y1 : a]: (Y1))))))),
% 134.36/17.52 inference('cnf', [status(esa)], [zf_stmt_1])).
% 134.36/17.52 thf(zip_derived_cl4436, plain,
% 134.36/17.52 (![X4 : a, X5 : a]: (('#l_lift36462' @ X4 @ X5) = (X4))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4437, plain,
% 134.36/17.52 (![X6 : a, X7 : a]: (('#l_lift36463' @ X6 @ X7) = (X7))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4436, plain,
% 134.36/17.52 (![X4 : a, X5 : a]: (('#l_lift36462' @ X4 @ X5) = (X4))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4437, plain,
% 134.36/17.52 (![X6 : a, X7 : a]: (('#l_lift36463' @ X6 @ X7) = (X7))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4436, plain,
% 134.36/17.52 (![X4 : a, X5 : a]: (('#l_lift36462' @ X4 @ X5) = (X4))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4437, plain,
% 134.36/17.52 (![X6 : a, X7 : a]: (('#l_lift36463' @ X6 @ X7) = (X7))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4436, plain,
% 134.36/17.52 (![X4 : a, X5 : a]: (('#l_lift36462' @ X4 @ X5) = (X4))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4437, plain,
% 134.36/17.52 (![X6 : a, X7 : a]: (('#l_lift36463' @ X6 @ X7) = (X7))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4441, plain,
% 134.36/17.52 (![X0 : (a > a > a) > a, X1 : (a > a > a) > a, X2 : a > a > a > a > $o]:
% 134.36/17.52 ( (zip_tseitin_0 @ X0 @ X1 @ X2)
% 134.36/17.52 | ~ (X2 @ (X1 @ '#l_lift36462') @ (X1 @ '#l_lift36463') @
% 134.36/17.52 (X0 @ '#l_lift36462') @ (X0 @ '#l_lift36463'))
% 134.36/17.52 | ((X0 @ (sk_ @ X0))
% 134.36/17.52 != (sk_ @ X0 @ (X0 @ '#l_lift36462') @ (X0 @ '#l_lift36463')))
% 134.36/17.52 | ((X1 @ (sk__1 @ X1))
% 134.36/17.52 != (sk__1 @ X1 @ (X1 @ '#l_lift36462') @ (X1 @ '#l_lift36463'))))),
% 134.36/17.52 inference('lambda_lifting', [status(thm)],
% 134.36/17.52 [zip_derived_cl3, zip_derived_cl4436, zip_derived_cl4437,
% 134.36/17.52 zip_derived_cl4436, zip_derived_cl4437, zip_derived_cl4436,
% 134.36/17.52 zip_derived_cl4437, zip_derived_cl4436, zip_derived_cl4437])).
% 134.36/17.52 thf(zip_derived_cl452, plain,
% 134.36/17.52 (![X0 : $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a, X3 : a]:
% 134.36/17.52 ( (X0)
% 134.36/17.52 | ~ (zip_tseitin_0 @ X1 @
% 134.36/17.52 (^[Y0 : a > a > a]: (Y0 @ X3 @ (X2 @ Y0))) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @ (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))))),
% 134.36/17.52 inference('ho_norm', [status(thm)], [zip_derived_cl447])).
% 134.36/17.52 thf(zip_derived_cl526, plain,
% 134.36/17.52 (![X0 : $o, X1 : a, X2 : (a > a > a) > a, X3 : (a > a > a) > a, X4 : a]:
% 134.36/17.52 (~ (zip_tseitin_0 @ X2 @ (^[Y0 : a > a > a]: (Y0 @ X1 @ (X3 @ Y0))) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @ (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0)))))
% 134.36/17.52 | ((X1) = (X4)))),
% 134.36/17.52 inference('ho_norm', [status(thm)], [zip_derived_cl525])).
% 134.36/17.52 thf(zip_derived_cl4443, plain,
% 134.36/17.52 (![X6 : a, X7 : a > a > a]: (('#l_lift36465' @ X6 @ X7) = (X6))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4466, plain,
% 134.36/17.52 (![X0 : a]: (('#l_lift36474' @ X0) = ('#l_lift36465' @ X0))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl526, plain,
% 134.36/17.52 (![X0 : $o, X1 : a, X2 : (a > a > a) > a, X3 : (a > a > a) > a, X4 : a]:
% 134.36/17.52 (~ (zip_tseitin_0 @ X2 @ (^[Y0 : a > a > a]: (Y0 @ X1 @ (X3 @ Y0))) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @ (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0)))))
% 134.36/17.52 | ((X1) = (X4)))),
% 134.36/17.52 inference('ho_norm', [status(thm)], [zip_derived_cl525])).
% 134.36/17.52 thf(zip_derived_cl4443, plain,
% 134.36/17.52 (![X6 : a, X7 : a > a > a]: (('#l_lift36465' @ X6 @ X7) = (X6))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4445, plain,
% 134.36/17.52 (![X0 : a]: (('#l_lift36466' @ X0) = ('#l_lift36465' @ X0))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl452, plain,
% 134.36/17.52 (![X0 : $o, X1 : (a > a > a) > a, X2 : (a > a > a) > a, X3 : a]:
% 134.36/17.52 ( (X0)
% 134.36/17.52 | ~ (zip_tseitin_0 @ X1 @
% 134.36/17.52 (^[Y0 : a > a > a]: (Y0 @ X3 @ (X2 @ Y0))) @
% 134.36/17.52 (^[Y0 : a,Y1 : a,Y2 : a,Y3 : a]:
% 134.36/17.52 (zip_tseitin_0 @ (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a > a > a]: (Y0)) @
% 134.36/17.52 (^[Y4 : a,Y5 : a,Y6 : a,Y7 : a]: (X0))))))),
% 134.36/17.52 inference('ho_norm', [status(thm)], [zip_derived_cl447])).
% 134.36/17.52 thf(zip_derived_cl4443, plain,
% 134.36/17.52 (![X6 : a, X7 : a > a > a]: (('#l_lift36465' @ X6 @ X7) = (X6))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4460, plain,
% 134.36/17.52 (![X0 : a]: (('#l_lift36473' @ X0) = ('#l_lift36465' @ X0))),
% 134.36/17.52 define([status(thm)])).
% 134.36/17.52 thf(zip_derived_cl4533, plain, ($false),
% 134.36/17.52 inference('eprover', [status(thm)],
% 134.36/17.52 [zip_derived_cl6, zip_derived_cl4439, zip_derived_cl4438,
% 134.36/17.52 zip_derived_cl5, zip_derived_cl4440, zip_derived_cl4,
% 134.36/17.52 zip_derived_cl8, zip_derived_cl10, zip_derived_cl9,
% 134.36/17.52 zip_derived_cl11, zip_derived_cl4449, zip_derived_cl4437,
% 134.36/17.52 zip_derived_cl4436, zip_derived_cl7, zip_derived_cl4464,
% 134.36/17.52 zip_derived_cl4442, zip_derived_cl4441, zip_derived_cl4466,
% 134.36/17.52 zip_derived_cl4445, zip_derived_cl4460])).
% 134.36/17.52
% 134.36/17.52 % SZS output end Refutation
% 134.36/17.52
% 134.36/17.52
% 134.36/17.52 % Terminating...
% 134.36/17.58 % Runner terminated.
% 134.36/17.59 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------