%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO324^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YRJfbIrNDz true
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Oct 2 05:07:14 PM UTC 2025
% Result : Theorem 14.89s 2.42s
% Output : Refutation 14.89s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO324^5 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.YRJfbIrNDz true
% 0.10/0.32 % Computer : n004.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 18:10:53 EDT 2025
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Running portfolio for 300 s
% 0.10/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32 % Number of cores: 8
% 0.10/0.32 % Python version: Python 3.6.8
% 0.10/0.32 % Running in HO mode
% 0.53/0.61 % Total configuration time : 828
% 0.53/0.61 % Estimated wc time : 1656
% 0.53/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.59/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.59/0.69 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.59/0.69 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.59/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.70 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.59/0.70 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.71 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 14.89/2.42 % Solved by lams/35_full_unif4.sh.
% 14.89/2.42 % done 56 iterations in 1.688s
% 14.89/2.42 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 14.89/2.42 % SZS output start Refutation
% 14.89/2.42 thf('#sk13_type', type, '#sk13': ($i > $o) > ($i > $o) > $i > $o).
% 14.89/2.42 thf('#sk920_type', type, '#sk920': $i > ($i > $o) > $i > $o).
% 14.89/2.42 thf('#sk1_type', type, '#sk1': ($i > $o) > $i).
% 14.89/2.42 thf('#sk2_type', type, '#sk2': $i > $o).
% 14.89/2.42 thf(cTHM143_EXPANDB, conjecture,
% 14.89/2.42 (![Xh:( ( $i > $o ) > $i )]:
% 14.89/2.42 ( ( ?[Xp:( $i > $o ),Xq:( $i > $o )]:
% 14.89/2.42 ( ( ![Xq_31:( $i > $o )]:
% 14.89/2.42 ( ( ~( Xq_31 @ ( Xh @ Xp ) ) ) | ( Xq_31 @ ( Xh @ Xq ) ) ) ) &
% 14.89/2.42 ( ?[Xx:$i]: ( ~( ( Xp @ Xx ) <=> ( Xq @ Xx ) ) ) ) ) ) |
% 14.89/2.42 ( ![Xt:( $i > $o )]:
% 14.89/2.42 ( ( Xt @ ( Xh @ Xt ) ) |
% 14.89/2.42 ( ?[Xq:( $i > $o )]:
% 14.89/2.42 ( ( Xq @
% 14.89/2.42 ( Xh @
% 14.89/2.42 ( ^[Xz:$i]:
% 14.89/2.42 ( ?[Xt0:( $i > $o )]:
% 14.89/2.42 ( ( ~( Xt0 @ ( Xh @ Xt0 ) ) ) &
% 14.89/2.42 ( ![Xq0:( $i > $o )]:
% 14.89/2.42 ( ( ~( Xq0 @ Xz ) ) | ( Xq0 @ ( Xh @ Xt0 ) ) ) ) ) ) ) ) ) &
% 14.89/2.42 ( ~( Xq @ ( Xh @ Xt ) ) ) ) ) ) ) ))).
% 14.89/2.42 thf(zf_stmt_0, negated_conjecture,
% 14.89/2.42 (~( ![Xh:( ( $i > $o ) > $i )]:
% 14.89/2.42 ( ( ?[Xp:( $i > $o ),Xq:( $i > $o )]:
% 14.89/2.42 ( ( ![Xq_31:( $i > $o )]:
% 14.89/2.42 ( ( ~( Xq_31 @ ( Xh @ Xp ) ) ) | ( Xq_31 @ ( Xh @ Xq ) ) ) ) &
% 14.89/2.42 ( ?[Xx:$i]: ( ~( ( Xp @ Xx ) <=> ( Xq @ Xx ) ) ) ) ) ) |
% 14.89/2.42 ( ![Xt:( $i > $o )]:
% 14.89/2.42 ( ( Xt @ ( Xh @ Xt ) ) |
% 14.89/2.42 ( ?[Xq:( $i > $o )]:
% 14.89/2.42 ( ( Xq @
% 14.89/2.42 ( Xh @
% 14.89/2.42 ( ^[Xz:$i]:
% 14.89/2.42 ( ?[Xt0:( $i > $o )]:
% 14.89/2.42 ( ( ~( Xt0 @ ( Xh @ Xt0 ) ) ) &
% 14.89/2.42 ( ![Xq0:( $i > $o )]:
% 14.89/2.42 ( ( ~( Xq0 @ Xz ) ) | ( Xq0 @ ( Xh @ Xt0 ) ) ) ) ) ) ) ) ) &
% 14.89/2.42 ( ~( Xq @ ( Xh @ Xt ) ) ) ) ) ) ) ) )),
% 14.89/2.42 inference('cnf.neg', [status(esa)], [cTHM143_EXPANDB])).
% 14.89/2.42 thf(zip_derived_cl0, plain,
% 14.89/2.42 (~ (((!!) @ (^[Y0 : ($i > $o) > $i]:
% 14.89/2.42 (((((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((??) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((!!) @ (^[Y3 : $i > $o]:
% 14.89/2.42 (((((~) @ (
% 14.89/2.42 Y3 @ (
% 14.89/2.42 Y0 @ Y1)))) |
% 14.89/2.42 (Y3 @ (Y0 @ Y2))))))) &
% 14.89/2.42 (((??) @ (^[Y3 : $i]:
% 14.89/2.42 (((~) @ ((
% 14.89/2.42 (Y1 @
% 14.89/2.42 Y3) <=>
% 14.89/2.42 (Y2 @ Y3)))))))))))))))) |
% 14.89/2.42 (((!!) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((Y1 @ (Y0 @ Y1)) |
% 14.89/2.42 (((??) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((Y2 @
% 14.89/2.42 (Y0 @
% 14.89/2.42 (^[Y3 : $i]:
% 14.89/2.42 (((??) @ (^[Y4 : $i > $o]:
% 14.89/2.42 ((((
% 14.89/2.42 (~) @ (
% 14.89/2.42 Y4 @
% 14.89/2.42 (Y0 @ Y4)))) &
% 14.89/2.42 ((
% 14.89/2.42 (!!) @ (
% 14.89/2.42 ^[Y5 : $i > $o]:
% 14.89/2.42 ((
% 14.89/2.42 ((
% 14.89/2.42 (~) @ (
% 14.89/2.42 Y5 @ Y3))) |
% 14.89/2.42 (Y5 @
% 14.89/2.42 (
% 14.89/2.42 Y0 @ Y4))))))))))))))) &
% 14.89/2.42 (((~) @ (Y2 @ (Y0 @ Y1)))))))))))))))))))),
% 14.89/2.42 inference('cnf', [status(esa)], [zf_stmt_0])).
% 14.89/2.42 thf(zip_derived_cl1, plain,
% 14.89/2.42 (~ (((((??) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ ('#sk1' @ Y0)))) |
% 14.89/2.42 (Y2 @ ('#sk1' @ Y1))))))) &
% 14.89/2.42 (((??) @ (^[Y2 : $i]:
% 14.89/2.42 (((~) @ (((Y0 @ Y2) <=> (Y1 @
% 14.89/2.42 Y2)))))))))))))))) |
% 14.89/2.42 (((!!) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((Y0 @ ('#sk1' @ Y0)) |
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((Y1 @
% 14.89/2.42 ('#sk1' @
% 14.89/2.42 (^[Y2 : $i]:
% 14.89/2.42 (((??) @ (^[Y3 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y3 @
% 14.89/2.42 ('#sk1' @ Y3)))) &
% 14.89/2.42 (((!!) @ (^[Y4 : $i > $o]:
% 14.89/2.42 ((
% 14.89/2.42 ((
% 14.89/2.42 (~) @ (
% 14.89/2.42 Y4 @ Y2))) |
% 14.89/2.42 (Y4 @
% 14.89/2.42 (
% 14.89/2.42 '#sk1' @
% 14.89/2.42 Y3))))))))))))))) &
% 14.89/2.42 (((~) @ (Y1 @ ('#sk1' @ Y0))))))))))))))))),
% 14.89/2.42 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl0])).
% 14.89/2.42 thf(zip_derived_cl3, plain,
% 14.89/2.42 (~ (((!!) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((Y0 @ ('#sk1' @ Y0)) |
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((Y1 @
% 14.89/2.42 ('#sk1' @
% 14.89/2.42 (^[Y2 : $i]:
% 14.89/2.42 (((??) @ (^[Y3 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y3 @
% 14.89/2.42 ('#sk1' @ Y3)))) &
% 14.89/2.42 (((!!) @ (^[Y4 : $i > $o]:
% 14.89/2.42 ((((
% 14.89/2.42 (~) @ (
% 14.89/2.42 Y4 @ Y2))) |
% 14.89/2.42 (Y4 @
% 14.89/2.42 ('#sk1' @
% 14.89/2.42 Y3))))))))))))))) &
% 14.89/2.42 (((~) @ (Y1 @ ('#sk1' @ Y0))))))))))))))),
% 14.89/2.42 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 14.89/2.42 thf(zip_derived_cl6, plain,
% 14.89/2.42 (~ ((('#sk2' @ ('#sk1' @ '#sk2')) |
% 14.89/2.42 (((??) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((Y0 @
% 14.89/2.42 ('#sk1' @
% 14.89/2.42 (^[Y1 : $i]:
% 14.89/2.42 (((??) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) &
% 14.89/2.42 (((!!) @ (^[Y3 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y3 @ Y1))) |
% 14.89/2.42 (Y3 @ ('#sk1' @ Y2))))))))))))))) &
% 14.89/2.42 (((~) @ (Y0 @ ('#sk1' @ '#sk2')))))))))))),
% 14.89/2.42 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl3])).
% 14.89/2.42 thf(zip_derived_cl9, plain, (~ ('#sk2' @ ('#sk1' @ '#sk2'))),
% 14.89/2.42 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 14.89/2.42 thf(zip_derived_cl9, plain, (~ ('#sk2' @ ('#sk1' @ '#sk2'))),
% 14.89/2.42 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 14.89/2.42 thf(zip_derived_cl2, plain,
% 14.89/2.42 (~ (((??) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ ('#sk1' @ Y0)))) |
% 14.89/2.42 (Y2 @ ('#sk1' @ Y1))))))) &
% 14.89/2.42 (((??) @ (^[Y2 : $i]:
% 14.89/2.42 (((~) @ (((Y0 @ Y2) <=> (Y1 @
% 14.89/2.42 Y2))))))))))))))))),
% 14.89/2.42 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 14.89/2.42 thf(zip_derived_cl4, plain,
% 14.89/2.42 (![X2 : $i > $o]:
% 14.89/2.42 ~ (((??) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((((!!) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ X2)))) | (Y1 @
% 14.89/2.42 ('#sk1' @ Y0))))))) &
% 14.89/2.42 (((??) @ (^[Y1 : $i]:
% 14.89/2.42 (((~) @ (((X2 @ Y1) <=> (Y0 @ Y1)))))))))))))),
% 14.89/2.42 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl2])).
% 14.89/2.42 thf(zip_derived_cl7, plain,
% 14.89/2.42 (![X2 : $i > $o, X4 : $i > $o]:
% 14.89/2.42 ~ (((((!!) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y0 @ ('#sk1' @ X2)))) | (Y0 @
% 14.89/2.42 ('#sk1' @ X4))))))) &
% 14.89/2.42 (((??) @ (^[Y0 : $i]: (((~) @ (((X2 @ Y0) <=> (X4 @ Y0))))))))))),
% 14.89/2.42 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl4])).
% 14.89/2.42 thf(zip_derived_cl11, plain,
% 14.89/2.42 (![X2 : $i > $o, X4 : $i > $o]:
% 14.89/2.42 (~ (((!!) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y0 @ ('#sk1' @ X2)))) | (Y0 @ ('#sk1' @ X4)))))))
% 14.89/2.42 | ~ (((??) @ (^[Y0 : $i]: (((~) @ (((X2 @ Y0) <=> (X4 @ Y0)))))))))),
% 14.89/2.42 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl7])).
% 14.89/2.42 thf(zip_derived_cl17, plain,
% 14.89/2.42 (![X2 : $i > $o, X4 : $i > $o]:
% 14.89/2.42 (~ (((((~) @ ('#sk13' @ X2 @ X4 @ ('#sk1' @ X2)))) | ('#sk13' @ X2 @
% 14.89/2.42 X4 @ ('#sk1' @ X4))))
% 14.89/2.42 | ~ (((??) @ (^[Y0 : $i]: (((~) @ (((X2 @ Y0) <=> (X4 @ Y0)))))))))),
% 14.89/2.42 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl11])).
% 14.89/2.42 thf(zip_derived_cl19, plain,
% 14.89/2.42 (![X2 : $i > $o, X4 : $i > $o]:
% 14.89/2.42 ( ('#sk13' @ X2 @ X4 @ ('#sk1' @ X2))
% 14.89/2.42 | ~ (((??) @ (^[Y0 : $i]: (((~) @ (((X2 @ Y0) <=> (X4 @ Y0)))))))))),
% 14.89/2.42 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])).
% 14.89/2.42 thf(zip_derived_cl21, plain,
% 14.89/2.42 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
% 14.89/2.42 ( (((X2 @ X6) <=> (X4 @ X6))) | ('#sk13' @ X2 @ X4 @ ('#sk1' @ X2)))),
% 14.89/2.42 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl19])).
% 14.89/2.42 thf(zip_derived_cl23, plain,
% 14.89/2.42 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
% 14.89/2.42 (((X2 @ X6) = (X4 @ X6)) | ('#sk13' @ X2 @ X4 @ ('#sk1' @ X2)))),
% 14.89/2.42 inference('simplify nested equalities', [status(thm)], [zip_derived_cl21])).
% 14.89/2.42 thf(zip_derived_cl53, plain,
% 14.89/2.42 (![X0 : $i > $o]:
% 14.89/2.42 (~ (X0 @ ('#sk1' @ '#sk2'))
% 14.89/2.42 | ('#sk13' @ X0 @
% 14.89/2.42 (^[Y0 : $i]: ('#sk2' @ ((^[Y1 : $i]: (Y1)) @ Y0))) @
% 14.89/2.42 ('#sk1' @ X0)))),
% 14.89/2.42 inference('sup+', [status(thm)], [zip_derived_cl9, zip_derived_cl23])).
% 14.89/2.42 thf(zip_derived_cl93, plain,
% 14.89/2.42 (![X0 : $i > $o]:
% 14.89/2.42 (~ (X0 @ ('#sk1' @ '#sk2')) | ('#sk13' @ X0 @ '#sk2' @ ('#sk1' @ X0)))),
% 14.89/2.42 inference('ho_norm', [status(thm)], [zip_derived_cl53])).
% 14.89/2.42 thf(zip_derived_cl10, plain,
% 14.89/2.42 (~ (((??) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((Y0 @
% 14.89/2.42 ('#sk1' @
% 14.89/2.42 (^[Y1 : $i]:
% 14.89/2.42 (((??) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ ('#sk1' @ Y2)))) &
% 14.89/2.42 (((!!) @ (^[Y3 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y3 @ Y1))) |
% 14.89/2.42 (Y3 @ ('#sk1' @ Y2))))))))))))))) &
% 14.89/2.42 (((~) @ (Y0 @ ('#sk1' @ '#sk2')))))))))),
% 14.89/2.42 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 14.89/2.42 thf(zip_derived_cl12, plain,
% 14.89/2.42 (![X2 : $i > $o]:
% 14.89/2.42 ~ (((X2 @
% 14.89/2.42 ('#sk1' @
% 14.89/2.42 (^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1))))))))))))))) &
% 14.89/2.42 (((~) @ (X2 @ ('#sk1' @ '#sk2'))))))),
% 14.89/2.42 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl10])).
% 14.89/2.42 thf(zip_derived_cl14, plain,
% 14.89/2.42 (![X0 : $i > $o, X1 : $i > $o]:
% 14.89/2.42 ~ ((('#sk13' @ X1 @ X0 @
% 14.89/2.42 ('#sk1' @
% 14.89/2.42 (^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1))))))))))))))) &
% 14.89/2.42 (((~) @ ('#sk13' @ X1 @ X0 @ ('#sk1' @ '#sk2'))))))),
% 14.89/2.42 inference('triggered_bool_instantiation', [status(thm)],
% 14.89/2.42 [zip_derived_cl12])).
% 14.89/2.42 thf(zip_derived_cl314, plain,
% 14.89/2.42 (![X0 : $i > $o, X1 : $i > $o]:
% 14.89/2.42 (~ ('#sk13' @ X1 @ X0 @
% 14.89/2.42 ('#sk1' @
% 14.89/2.42 (^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1)))))))))))))))
% 14.89/2.42 | ('#sk13' @ X1 @ X0 @ ('#sk1' @ '#sk2')))),
% 14.89/2.42 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl14])).
% 14.89/2.42 thf(zip_derived_cl327, plain,
% 14.89/2.42 ((~ ((^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1))))))))))))) @
% 14.89/2.42 ('#sk1' @ '#sk2'))
% 14.89/2.42 | ('#sk13' @
% 14.89/2.42 (^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1))))))))))))) @
% 14.89/2.42 '#sk2' @ ('#sk1' @ '#sk2')))),
% 14.89/2.42 inference('sup-', [status(thm)], [zip_derived_cl93, zip_derived_cl314])).
% 14.89/2.42 thf(zip_derived_cl334, plain,
% 14.89/2.42 ((~ (((??) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) &
% 14.89/2.42 (((!!) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ '#sk2')))) |
% 14.89/2.42 (Y1 @ ('#sk1' @ Y0))))))))))))
% 14.89/2.42 | ('#sk13' @
% 14.89/2.42 (^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1))))))))))))) @
% 14.89/2.42 '#sk2' @ ('#sk1' @ '#sk2')))),
% 14.89/2.42 inference('ho_norm', [status(thm)], [zip_derived_cl327])).
% 14.89/2.42 thf(zip_derived_cl398, plain,
% 14.89/2.42 (![X2 : $i > $o]:
% 14.89/2.42 (~ (((((~) @ (X2 @ ('#sk1' @ X2)))) &
% 14.89/2.42 (((!!) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) | (Y0 @
% 14.89/2.42 ('#sk1' @ X2)))))))))
% 14.89/2.42 | ('#sk13' @
% 14.89/2.42 (^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1))))))))))))) @
% 14.89/2.42 '#sk2' @ ('#sk1' @ '#sk2')))),
% 14.89/2.42 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl334])).
% 14.89/2.42 thf(zip_derived_cl400, plain,
% 14.89/2.42 ((~ (((((~) @ ('#sk2' @ ('#sk1' @ '#sk2')))) &
% 14.89/2.42 (((!!) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y0 @ ('#sk1' @ '#sk2')))) | (Y0 @
% 14.89/2.42 ('#sk1' @ '#sk2')))))))))
% 14.89/2.42 | ('#sk13' @
% 14.89/2.42 (^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1))))))))))))) @
% 14.89/2.42 '#sk2' @ ('#sk1' @ '#sk2')))),
% 14.89/2.42 inference('triggered_bool_instantiation', [status(thm)],
% 14.89/2.42 [zip_derived_cl398])).
% 14.89/2.42 thf(zip_derived_cl428, plain,
% 14.89/2.42 ((~ (((~) @ ('#sk2' @ ('#sk1' @ '#sk2'))))
% 14.89/2.42 | ('#sk13' @
% 14.89/2.42 (^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1))))))))))))) @
% 14.89/2.42 '#sk2' @ ('#sk1' @ '#sk2')))),
% 14.89/2.42 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl400])).
% 14.89/2.42 thf(zip_derived_cl429, plain,
% 14.89/2.42 (( ('#sk2' @ ('#sk1' @ '#sk2'))
% 14.89/2.42 | ('#sk13' @
% 14.89/2.42 (^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1))))))))))))) @
% 14.89/2.42 '#sk2' @ ('#sk1' @ '#sk2')))),
% 14.89/2.42 inference('simplify nested equalities', [status(thm)],
% 14.89/2.42 [zip_derived_cl428])).
% 14.89/2.42 thf(zip_derived_cl9, plain, (~ ('#sk2' @ ('#sk1' @ '#sk2'))),
% 14.89/2.42 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 14.89/2.42 thf(zip_derived_cl430, plain,
% 14.89/2.42 ( ('#sk13' @
% 14.89/2.42 (^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1))))))))))))) @
% 14.89/2.42 '#sk2' @ ('#sk1' @ '#sk2'))),
% 14.89/2.42 inference('demod', [status(thm)], [zip_derived_cl429, zip_derived_cl9])).
% 14.89/2.42 thf(zip_derived_cl20, plain,
% 14.89/2.42 (![X2 : $i > $o, X4 : $i > $o]:
% 14.89/2.42 (~ ('#sk13' @ X2 @ X4 @ ('#sk1' @ X4))
% 14.89/2.42 | ~ (((??) @ (^[Y0 : $i]: (((~) @ (((X2 @ Y0) <=> (X4 @ Y0)))))))))),
% 14.89/2.42 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl17])).
% 14.89/2.42 thf(zip_derived_cl22, plain,
% 14.89/2.42 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
% 14.89/2.42 ( (((X2 @ X6) <=> (X4 @ X6))) | ~ ('#sk13' @ X2 @ X4 @ ('#sk1' @ X4)))),
% 14.89/2.42 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl20])).
% 14.89/2.42 thf(zip_derived_cl24, plain,
% 14.89/2.42 (![X2 : $i > $o, X4 : $i > $o, X6 : $i]:
% 14.89/2.42 (((X2 @ X6) = (X4 @ X6)) | ~ ('#sk13' @ X2 @ X4 @ ('#sk1' @ X4)))),
% 14.89/2.42 inference('simplify nested equalities', [status(thm)], [zip_derived_cl22])).
% 14.89/2.42 thf(zip_derived_cl432, plain,
% 14.89/2.42 (![X0 : $i]:
% 14.89/2.42 (((^[Y0 : $i]:
% 14.89/2.42 (((??) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ ('#sk1' @ Y1)))) &
% 14.89/2.42 (((!!) @ (^[Y2 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y2 @ Y0))) | (Y2 @
% 14.89/2.42 ('#sk1' @ Y1))))))))))))) @
% 14.89/2.42 X0) = ('#sk2' @ X0))),
% 14.89/2.42 inference('sup-', [status(thm)], [zip_derived_cl430, zip_derived_cl24])).
% 14.89/2.42 thf(zip_derived_cl434, plain,
% 14.89/2.42 (![X0 : $i]:
% 14.89/2.42 ((((??) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) &
% 14.89/2.42 (((!!) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ X0))) | (Y1 @
% 14.89/2.42 ('#sk1' @ Y0))))))))))))
% 14.89/2.42 = ('#sk2' @ X0))),
% 14.89/2.42 inference('ho_norm', [status(thm)], [zip_derived_cl432])).
% 14.89/2.42 thf(zip_derived_cl482, plain,
% 14.89/2.42 (![X-1193 : $i > $o, X0 : $i]:
% 14.89/2.42 (~ ((^[Y0 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y0 @ ('#sk1' @ Y0)))) &
% 14.89/2.42 (((!!) @ (^[Y1 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y1 @ X0))) | (Y1 @ ('#sk1' @ Y0)))))))))) @
% 14.89/2.42 X-1193)
% 14.89/2.42 | ('#sk2' @ X0))),
% 14.89/2.42 inference('exists_hoist', [status(thm)], [zip_derived_cl434])).
% 14.89/2.42 thf(zip_derived_cl487, plain,
% 14.89/2.42 (![X-1193 : $i > $o, X0 : $i]:
% 14.89/2.42 (~ (((((~) @ (X-1193 @ ('#sk1' @ X-1193)))) &
% 14.89/2.42 (((!!) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y0 @ X0))) | (Y0 @ ('#sk1' @ X-1193)))))))))
% 14.89/2.42 | ('#sk2' @ X0))),
% 14.89/2.42 inference('ho_norm', [status(thm)], [zip_derived_cl482])).
% 14.89/2.42 thf(zip_derived_cl488, plain,
% 14.89/2.42 (![X0 : $i, X1 : $i > $o]:
% 14.89/2.42 (~ (((((~) @ (X1 @ ('#sk1' @ X1)))) &
% 14.89/2.42 (((!!) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y0 @ X0))) | (Y0 @ ('#sk1' @ X1)))))))))
% 14.89/2.42 | ('#sk2' @ X0))),
% 14.89/2.42 inference('cannonize vars', [status(thm)], [zip_derived_cl487])).
% 14.89/2.42 thf(zip_derived_cl489, plain,
% 14.89/2.42 (![X0 : $i, X1 : $i > $o]:
% 14.89/2.42 ( (X1 @ ('#sk1' @ X1))
% 14.89/2.42 | ~ (((!!) @ (^[Y0 : $i > $o]:
% 14.89/2.42 (((((~) @ (Y0 @ X0))) | (Y0 @ ('#sk1' @ X1)))))))
% 14.89/2.42 | ('#sk2' @ X0))),
% 14.89/2.42 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl488])).
% 14.89/2.42 thf(zip_derived_cl490, plain,
% 14.89/2.42 (![X0 : $i, X1 : $i > $o]:
% 14.89/2.42 (~ (((((~) @ ('#sk920' @ X0 @ X1 @ X0))) | ('#sk920' @ X0 @ X1 @
% 14.89/2.42 ('#sk1' @ X1))))
% 14.89/2.42 | ('#sk2' @ X0)
% 14.89/2.42 | (X1 @ ('#sk1' @ X1)))),
% 14.89/2.42 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl489])).
% 14.89/2.42 thf(zip_derived_cl491, plain,
% 14.89/2.42 (![X0 : $i, X1 : $i > $o]:
% 14.89/2.42 ( ('#sk920' @ X0 @ X1 @ X0) | (X1 @ ('#sk1' @ X1)) | ('#sk2' @ X0))),
% 14.89/2.42 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl490])).
% 14.89/2.42 thf(zip_derived_cl492, plain,
% 14.89/2.42 (![X0 : $i, X1 : $i > $o]:
% 14.89/2.42 (~ ('#sk920' @ X0 @ X1 @ ('#sk1' @ X1))
% 14.89/2.42 | (X1 @ ('#sk1' @ X1))
% 14.89/2.42 | ('#sk2' @ X0))),
% 14.89/2.42 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl490])).
% 14.89/2.42 thf(zip_derived_cl640, plain,
% 14.89/2.42 (![X0 : $i > $o]:
% 14.89/2.42 ( ('#sk2' @ ('#sk1' @ X0))
% 14.89/2.42 | (X0 @ ('#sk1' @ X0))
% 14.89/2.42 | ('#sk2' @ ('#sk1' @ X0))
% 14.89/2.42 | (X0 @ ('#sk1' @ X0)))),
% 14.89/2.42 inference('sup-', [status(thm)], [zip_derived_cl491, zip_derived_cl492])).
% 14.89/2.42 thf(zip_derived_cl643, plain,
% 14.89/2.42 (![X0 : $i > $o]: ( (X0 @ ('#sk1' @ X0)) | ('#sk2' @ ('#sk1' @ X0)))),
% 14.89/2.42 inference('simplify', [status(thm)], [zip_derived_cl640])).
% 14.89/2.42 thf(zip_derived_cl9, plain, (~ ('#sk2' @ ('#sk1' @ '#sk2'))),
% 14.89/2.42 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 14.89/2.42 thf(zip_derived_cl649, plain, ( ('#sk2' @ ('#sk1' @ '#sk2'))),
% 14.89/2.42 inference('sup-', [status(thm)], [zip_derived_cl643, zip_derived_cl9])).
% 14.89/2.42 thf(zip_derived_cl681, plain, ($false),
% 14.89/2.42 inference('demod', [status(thm)], [zip_derived_cl9, zip_derived_cl649])).
% 14.89/2.42
% 14.89/2.42 % SZS output end Refutation
% 14.89/2.42
% 14.89/2.42
% 14.89/2.42 % Terminating...
% 15.60/2.54 % Runner terminated.
% 15.60/2.55 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------