TSTP Solution File: SYO544^1 by Zipperpin---2.1.9999
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO544^1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eIoHi3wKef true
% Computer : n015.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 : Fri Sep 1 05:52:00 EDT 2023
% Result : Theorem 31.93s 4.74s
% Output : Refutation 32.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYO544^1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.eIoHi3wKef true
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 07:16:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in HO mode
% 0.23/0.68 % Total configuration time : 828
% 0.23/0.68 % Estimated wc time : 1656
% 0.23/0.68 % Estimated cpu time (8 cpus) : 207.0
% 0.23/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.23/0.78 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.82/0.79 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.82/0.80 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.82/0.81 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.82/0.82 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.43/0.91 % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 31.93/4.74 % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 31.93/4.74 % Solved by lams/40_c_ic.sh.
% 31.93/4.74 % done 1687 iterations in 3.903s
% 31.93/4.74 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.93/4.74 % SZS output start Refutation
% 31.93/4.74 thf(f0_type, type, f0: $o > $o).
% 31.93/4.74 thf(zip_tseitin_34_type, type, zip_tseitin_34: $o).
% 31.93/4.74 thf(zip_tseitin_31_type, type, zip_tseitin_31: $o > $o).
% 31.93/4.74 thf(sk__4_type, type, sk__4: $o).
% 31.93/4.74 thf(zip_tseitin_3_type, type, zip_tseitin_3: $o).
% 31.93/4.74 thf(eps_type, type, eps: ($i > $o) > $i).
% 31.93/4.74 thf(zip_tseitin_46_type, type, zip_tseitin_46: $o).
% 31.93/4.74 thf(zip_tseitin_4_type, type, zip_tseitin_4: $o).
% 31.93/4.74 thf(zip_tseitin_32_type, type, zip_tseitin_32: $o).
% 31.93/4.74 thf(zip_tseitin_44_type, type, zip_tseitin_44: $o).
% 31.93/4.74 thf(zip_tseitin_45_type, type, zip_tseitin_45: $o).
% 31.93/4.74 thf(f3_type, type, f3: $o > $o).
% 31.93/4.74 thf(sk__3_type, type, sk__3: $i).
% 31.93/4.74 thf(f2_type, type, f2: $o > $o).
% 31.93/4.74 thf(zip_tseitin_12_type, type, zip_tseitin_12: $o > $o).
% 31.93/4.74 thf(zip_tseitin_21_type, type, zip_tseitin_21: $o).
% 31.93/4.74 thf(zip_tseitin_47_type, type, zip_tseitin_47: $i > $o).
% 31.93/4.74 thf('#sk397_type', type, '#sk397': $o).
% 31.93/4.74 thf(sk__1_type, type, sk__1: $i).
% 31.93/4.74 thf(zip_tseitin_36_type, type, zip_tseitin_36: $o > $o).
% 31.93/4.74 thf(sk__type, type, sk_: $i).
% 31.93/4.74 thf(case_type, type, case: ($o > $o) > $i > $i > $i > $i > $i).
% 31.93/4.74 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $o).
% 31.93/4.74 thf(sk__2_type, type, sk__2: $i).
% 31.93/4.74 thf(zip_tseitin_30_type, type, zip_tseitin_30: $o).
% 31.93/4.74 thf(zip_tseitin_2_type, type, zip_tseitin_2: $o).
% 31.93/4.74 thf(zip_tseitin_0_type, type, zip_tseitin_0: $o).
% 31.93/4.74 thf(zip_tseitin_19_type, type, zip_tseitin_19: $o > $o).
% 31.93/4.74 thf(zip_tseitin_43_type, type, zip_tseitin_43: $o > $o).
% 31.93/4.74 thf(sk__27_type, type, sk__27: $o).
% 31.93/4.74 thf(zip_tseitin_1_type, type, zip_tseitin_1: $o > $o).
% 31.93/4.74 thf(zip_tseitin_35_type, type, zip_tseitin_35: $i > $o).
% 31.93/4.74 thf(zip_tseitin_18_type, type, zip_tseitin_18: $o).
% 31.93/4.74 thf(zip_tseitin_42_type, type, zip_tseitin_42: $o).
% 31.93/4.74 thf(zip_tseitin_20_type, type, zip_tseitin_20: $o).
% 31.93/4.74 thf(sk__14_type, type, sk__14: $o).
% 31.93/4.74 thf(zip_tseitin_23_type, type, zip_tseitin_23: $i > $o).
% 31.93/4.74 thf(f1_type, type, f1: $o > $o).
% 31.93/4.74 thf(zip_tseitin_33_type, type, zip_tseitin_33: $o).
% 31.93/4.74 thf(zip_tseitin_22_type, type, zip_tseitin_22: $o).
% 31.93/4.74 thf(choiceax, axiom,
% 31.93/4.74 (![P:( $i > $o )]: ( ( ?[X:$i]: ( P @ X ) ) => ( P @ ( eps @ P ) ) ))).
% 31.93/4.74 thf(zip_derived_cl0, plain,
% 31.93/4.74 (![X0 : $i > $o, X1 : $i]: ( (X0 @ (eps @ X0)) | ~ (X0 @ X1))),
% 31.93/4.74 inference('cnf', [status(esa)], [choiceax])).
% 31.93/4.74 thf(caseood, axiom,(( case ) =
% 31.93/4.74 (^[B:( $o > $o ),X:$i,Y:$i,U:$i,V:$i]:
% 31.93/4.74 ( eps @
% 31.93/4.74 ( ^[Z:$i]:
% 31.93/4.74 ( ( ( ( B ) = ( ^[A:$o]: ( $false ) ) ) & ( ( Z ) = ( X ) ) ) |
% 31.93/4.74 ( ( ( B ) = ( (~) ) ) & ( ( Z ) = ( Y ) ) ) |
% 31.93/4.74 ( ( ( B ) = ( ^[A:$o]: ( A ) ) ) & ( ( Z ) = ( U ) ) ) |
% 31.93/4.74 ( ( ( B ) = ( ^[A:$o]: ( $true ) ) ) & ( ( Z ) = ( V ) ) ) ) ) )))).
% 31.93/4.74 thf('0', plain,
% 31.93/4.74 (( case ) =
% 31.93/4.74 ( ^[B:( $o > $o ),X:$i,Y:$i,U:$i,V:$i]:
% 31.93/4.74 ( eps @
% 31.93/4.74 ( ^[Z:$i]:
% 31.93/4.74 ( ( ( ( B ) = ( ^[A:$o]: ( $false ) ) ) & ( ( Z ) = ( X ) ) ) |
% 31.93/4.74 ( ( ( B ) = ( (~) ) ) & ( ( Z ) = ( Y ) ) ) |
% 31.93/4.74 ( ( ( B ) = ( ^[A:$o]: ( A ) ) ) & ( ( Z ) = ( U ) ) ) |
% 31.93/4.74 ( ( ( B ) = ( ^[A:$o]: ( $true ) ) ) & ( ( Z ) = ( V ) ) ) ) ) ) )),
% 31.93/4.74 inference('simplify_rw_rule', [status(thm)], [caseood])).
% 31.93/4.74 thf('1', plain,
% 31.93/4.74 (( case ) =
% 31.93/4.74 ( ^[V_1:( $o > $o ),V_2:$i,V_3:$i,V_4:$i,V_5:$i]:
% 31.93/4.74 ( eps @
% 31.93/4.74 ( ^[V_6:$i]:
% 31.93/4.74 ( ( ( ( V_1 ) = ( ^[V_7:$o]: ( $false ) ) ) &
% 31.93/4.74 ( ( V_6 ) = ( V_2 ) ) ) |
% 31.93/4.74 ( ( ( V_1 ) = ( (~) ) ) & ( ( V_6 ) = ( V_3 ) ) ) |
% 31.93/4.74 ( ( ( V_1 ) = ( ^[V_8:$o]: ( V_8 ) ) ) & ( ( V_6 ) = ( V_4 ) ) ) |
% 31.93/4.74 ( ( ( V_1 ) = ( ^[V_9:$o]: ( $true ) ) ) & ( ( V_6 ) = ( V_5 ) ) ) ) ) ) )),
% 31.93/4.74 define([status(thm)])).
% 31.93/4.74 thf(conj, conjecture,
% 31.93/4.74 (![X:$i,Y:$i,U:$i,V:$i]:
% 31.93/4.74 ( ( ( case @ f3 @ X @ Y @ U @ V ) = ( V ) ) &
% 31.93/4.74 ( ( case @ f2 @ X @ Y @ U @ V ) = ( U ) ) &
% 31.93/4.74 ( ( case @ f1 @ X @ Y @ U @ V ) = ( Y ) ) &
% 31.93/4.74 ( ( case @ f0 @ X @ Y @ U @ V ) = ( X ) ) ))).
% 31.93/4.74 thf(zf_stmt_0, conjecture,
% 31.93/4.74 (![X4:$i,X6:$i,X8:$i,X10:$i]:
% 31.93/4.74 ( ( ( eps @
% 31.93/4.74 ( ^[V_1:$i]:
% 31.93/4.74 ( ( ( ( V_1 ) = ( X10 ) ) &
% 31.93/4.74 ( ![V_4:$o]: ( ( f3 @ V_4 ) <=> ( $true ) ) ) ) |
% 31.93/4.74 ( ( ( V_1 ) = ( X8 ) ) &
% 31.93/4.74 ( ![V_3:$o]: ( ( f3 @ V_3 ) <=> ( V_3 ) ) ) ) |
% 31.93/4.74 ( ( ( V_1 ) = ( X6 ) ) & ( ( f3 ) = ( (~) ) ) ) |
% 31.93/4.74 ( ( ( V_1 ) = ( X4 ) ) &
% 31.93/4.74 ( ![V_2:$o]: ( ( f3 @ V_2 ) <=> ( $false ) ) ) ) ) ) ) =
% 31.93/4.74 ( X10 ) ) &
% 31.93/4.74 ( ( eps @
% 31.93/4.74 ( ^[V_5:$i]:
% 31.93/4.74 ( ( ( ( V_5 ) = ( X10 ) ) &
% 31.93/4.74 ( ![V_8:$o]: ( ( f2 @ V_8 ) <=> ( $true ) ) ) ) |
% 31.93/4.74 ( ( ( V_5 ) = ( X8 ) ) &
% 31.93/4.74 ( ![V_7:$o]: ( ( f2 @ V_7 ) <=> ( V_7 ) ) ) ) |
% 31.93/4.74 ( ( ( V_5 ) = ( X6 ) ) & ( ( f2 ) = ( (~) ) ) ) |
% 31.93/4.74 ( ( ( V_5 ) = ( X4 ) ) &
% 31.93/4.74 ( ![V_6:$o]: ( ( f2 @ V_6 ) <=> ( $false ) ) ) ) ) ) ) =
% 31.93/4.74 ( X8 ) ) &
% 31.93/4.74 ( ( eps @
% 31.93/4.74 ( ^[V_9:$i]:
% 31.93/4.74 ( ( ( ( V_9 ) = ( X10 ) ) &
% 31.93/4.74 ( ![V_12:$o]: ( ( f1 @ V_12 ) <=> ( $true ) ) ) ) |
% 31.93/4.74 ( ( ( V_9 ) = ( X8 ) ) &
% 31.93/4.74 ( ![V_11:$o]: ( ( f1 @ V_11 ) <=> ( V_11 ) ) ) ) |
% 31.93/4.74 ( ( ( V_9 ) = ( X6 ) ) & ( ( f1 ) = ( (~) ) ) ) |
% 31.93/4.74 ( ( ( V_9 ) = ( X4 ) ) &
% 31.93/4.74 ( ![V_10:$o]: ( ( f1 @ V_10 ) <=> ( $false ) ) ) ) ) ) ) =
% 31.93/4.74 ( X6 ) ) &
% 31.93/4.74 ( ( eps @
% 31.93/4.74 ( ^[V_13:$i]:
% 31.93/4.74 ( ( ( ( V_13 ) = ( X10 ) ) &
% 31.93/4.74 ( ![V_16:$o]: ( ( f0 @ V_16 ) <=> ( $true ) ) ) ) |
% 31.93/4.74 ( ( ( V_13 ) = ( X8 ) ) &
% 31.93/4.74 ( ![V_15:$o]: ( ( f0 @ V_15 ) <=> ( V_15 ) ) ) ) |
% 31.93/4.74 ( ( ( V_13 ) = ( X6 ) ) & ( ( f0 ) = ( (~) ) ) ) |
% 31.93/4.74 ( ( ( V_13 ) = ( X4 ) ) &
% 31.93/4.74 ( ![V_14:$o]: ( ( f0 @ V_14 ) <=> ( $false ) ) ) ) ) ) ) =
% 31.93/4.74 ( X4 ) ) ))).
% 31.93/4.74 thf(zf_stmt_1, negated_conjecture,
% 31.93/4.74 (~( ![X4:$i,X6:$i,X8:$i,X10:$i]:
% 31.93/4.74 ( ( ( eps @
% 31.93/4.74 ( ^[V_1:$i]:
% 31.93/4.74 ( ( ( ( V_1 ) = ( X10 ) ) &
% 31.93/4.74 ( ![V_4:$o]: ( ( f3 @ V_4 ) <=> ( $true ) ) ) ) |
% 31.93/4.74 ( ( ( V_1 ) = ( X8 ) ) &
% 31.93/4.74 ( ![V_3:$o]: ( ( f3 @ V_3 ) <=> ( V_3 ) ) ) ) |
% 31.93/4.74 ( ( ( V_1 ) = ( X6 ) ) & ( ( f3 ) = ( (~) ) ) ) |
% 31.93/4.74 ( ( ( V_1 ) = ( X4 ) ) &
% 31.93/4.74 ( ![V_2:$o]: ( ( f3 @ V_2 ) <=> ( $false ) ) ) ) ) ) ) =
% 31.93/4.74 ( X10 ) ) &
% 31.93/4.74 ( ( eps @
% 31.93/4.74 ( ^[V_5:$i]:
% 31.93/4.74 ( ( ( ( V_5 ) = ( X10 ) ) &
% 31.93/4.74 ( ![V_8:$o]: ( ( f2 @ V_8 ) <=> ( $true ) ) ) ) |
% 31.93/4.74 ( ( ( V_5 ) = ( X8 ) ) &
% 31.93/4.74 ( ![V_7:$o]: ( ( f2 @ V_7 ) <=> ( V_7 ) ) ) ) |
% 31.93/4.74 ( ( ( V_5 ) = ( X6 ) ) & ( ( f2 ) = ( (~) ) ) ) |
% 31.93/4.74 ( ( ( V_5 ) = ( X4 ) ) &
% 31.93/4.74 ( ![V_6:$o]: ( ( f2 @ V_6 ) <=> ( $false ) ) ) ) ) ) ) =
% 31.93/4.74 ( X8 ) ) &
% 31.93/4.74 ( ( eps @
% 31.93/4.74 ( ^[V_9:$i]:
% 31.93/4.74 ( ( ( ( V_9 ) = ( X10 ) ) &
% 31.93/4.74 ( ![V_12:$o]: ( ( f1 @ V_12 ) <=> ( $true ) ) ) ) |
% 31.93/4.74 ( ( ( V_9 ) = ( X8 ) ) &
% 31.93/4.74 ( ![V_11:$o]: ( ( f1 @ V_11 ) <=> ( V_11 ) ) ) ) |
% 31.93/4.74 ( ( ( V_9 ) = ( X6 ) ) & ( ( f1 ) = ( (~) ) ) ) |
% 31.93/4.74 ( ( ( V_9 ) = ( X4 ) ) &
% 31.93/4.74 ( ![V_10:$o]: ( ( f1 @ V_10 ) <=> ( $false ) ) ) ) ) ) ) =
% 31.93/4.74 ( X6 ) ) &
% 31.93/4.74 ( ( eps @
% 31.93/4.74 ( ^[V_13:$i]:
% 31.93/4.74 ( ( ( ( V_13 ) = ( X10 ) ) &
% 31.93/4.74 ( ![V_16:$o]: ( ( f0 @ V_16 ) <=> ( $true ) ) ) ) |
% 31.93/4.74 ( ( ( V_13 ) = ( X8 ) ) &
% 31.93/4.74 ( ![V_15:$o]: ( ( f0 @ V_15 ) <=> ( V_15 ) ) ) ) |
% 31.93/4.74 ( ( ( V_13 ) = ( X6 ) ) & ( ( f0 ) = ( (~) ) ) ) |
% 31.93/4.74 ( ( ( V_13 ) = ( X4 ) ) &
% 31.93/4.74 ( ![V_14:$o]: ( ( f0 @ V_14 ) <=> ( $false ) ) ) ) ) ) ) =
% 31.93/4.74 ( X4 ) ) ) )),
% 31.93/4.74 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 31.93/4.74 thf(zip_derived_cl9, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> ($true)))))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> ($false))))))))))))
% 31.93/4.74 != (sk__3))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> ($true)))))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> ($false))))))))))))
% 31.93/4.74 != (sk__2))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> ($true)))))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> ($false))))))))))))
% 31.93/4.74 != (sk__1))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> ($true)))))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> ($false))))))))))))
% 31.93/4.74 != (sk_)))),
% 31.93/4.74 inference('cnf', [status(esa)], [zf_stmt_1])).
% 31.93/4.74 thf(zip_derived_cl16, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1))))))))))))
% 31.93/4.74 != (sk__3))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1))))))))))))
% 31.93/4.74 != (sk__2))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 31.93/4.74 != (sk__1))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_)))),
% 31.93/4.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl9])).
% 31.93/4.74 thf(zip_derived_cl20, plain,
% 31.93/4.74 (![X4 : $i]:
% 31.93/4.74 (~ (((((((X4) = (sk__3))) & (((!!) @ (^[Y0 : $o]: (f2 @ Y0)))))) |
% 31.93/4.74 (((((X4) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((f2 @ Y0) <=> (Y0)))))))) |
% 31.93/4.74 (((((X4) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((X4) = (sk_))) & (((!!) @ (^[Y0 : $o]: (((~) @ (f2 @ Y0))))))))))
% 31.93/4.74 | (((((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1)))))))))))) =
% 31.93/4.74 (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (f2 @ Y0)))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1)))))))))))) =
% 31.93/4.74 (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((f2 @ Y0) <=> (Y0)))))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1)))))))))))) =
% 31.93/4.74 (sk__1))) &
% 31.93/4.74 (((f2) = (~))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1)))))))))))) =
% 31.93/4.74 (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((~) @ (f2 @ Y0)))))))))))),
% 31.93/4.74 inference('inst_choice(((^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) & (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1)))))))))))))',
% 31.93/4.74 [status(thm)], [zip_derived_cl0, zip_derived_cl16])).
% 31.93/4.74 thf(zip_derived_cl257, plain,
% 31.93/4.74 (![X0 : $i]:
% 31.93/4.74 ( (zip_tseitin_23 @ X0)
% 31.93/4.74 | ((X0) != (sk__2))
% 31.93/4.74 | ~ (zip_tseitin_19 @ sk__14))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl20])).
% 31.93/4.74 thf(zip_derived_cl262, plain,
% 31.93/4.74 ((~ (zip_tseitin_19 @ sk__14) | (zip_tseitin_23 @ sk__2))),
% 31.93/4.74 inference('simplify', [status(thm)], [zip_derived_cl257])).
% 31.93/4.74 thf(zip_derived_cl260, plain,
% 31.93/4.74 (![X0 : $i]:
% 31.93/4.74 ( (zip_tseitin_22)
% 31.93/4.74 | (zip_tseitin_21)
% 31.93/4.74 | (zip_tseitin_20)
% 31.93/4.74 | (zip_tseitin_18)
% 31.93/4.74 | ~ (zip_tseitin_23 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl20])).
% 31.93/4.74 thf(f2t, axiom, (f2 @ $true)).
% 31.93/4.74 thf(zip_derived_cl6, plain, ( (f2 @ ($true))),
% 31.93/4.74 inference('cnf', [status(esa)], [f2t])).
% 31.93/4.74 thf(zip_derived_cl253, plain,
% 31.93/4.74 (![X0 : $o]: (~ (f2 @ X0) | ~ (zip_tseitin_22))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl20])).
% 31.93/4.74 thf(zip_derived_cl325, plain, (~ (zip_tseitin_22)),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl253])).
% 31.93/4.74 thf(zip_derived_cl6, plain, ( (f2 @ ($true))),
% 31.93/4.74 inference('cnf', [status(esa)], [f2t])).
% 31.93/4.74 thf(zip_derived_cl251, plain, ((((f2) = (~)) | ~ (zip_tseitin_21))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl20])).
% 31.93/4.74 thf(zip_derived_cl273, plain,
% 31.93/4.74 (![X1 : $o]: (((f2 @ X1) = (((~) @ X1))) | ~ (zip_tseitin_21))),
% 31.93/4.74 inference('ho_complete_eq', [status(thm)], [zip_derived_cl251])).
% 31.93/4.74 thf(zip_derived_cl274, plain,
% 31.93/4.74 (![X1 : $o]: (((f2 @ X1) != (X1)) | ~ (zip_tseitin_21))),
% 31.93/4.74 inference('simplify nested equalities', [status(thm)],
% 31.93/4.74 [zip_derived_cl273])).
% 31.93/4.74 thf(zip_derived_cl277, plain,
% 31.93/4.74 (![X0 : $o]: (~ (zip_tseitin_21) | ~ (X0) | ~ (f2 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl274])).
% 31.93/4.74 thf(zip_derived_cl279, plain, (~ (zip_tseitin_21)),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl277])).
% 31.93/4.74 thf(zip_derived_cl245, plain,
% 31.93/4.74 (![X0 : $o]: ( (f2 @ X0) | ~ (zip_tseitin_18))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl20])).
% 31.93/4.74 thf(f2f, axiom, (~( f2 @ $false ))).
% 31.93/4.74 thf(zip_derived_cl5, plain, (~ (f2 @ ($false))),
% 31.93/4.74 inference('cnf', [status(esa)], [f2f])).
% 31.93/4.74 thf(zip_derived_cl267, plain, (~ (zip_tseitin_18)),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl245, zip_derived_cl5])).
% 31.93/4.74 thf(zip_derived_cl3967, plain,
% 31.93/4.74 (![X0 : $i]: ( (zip_tseitin_20) | ~ (zip_tseitin_23 @ X0))),
% 31.93/4.74 inference('demod', [status(thm)],
% 31.93/4.74 [zip_derived_cl260, zip_derived_cl325, zip_derived_cl279,
% 31.93/4.74 zip_derived_cl267])).
% 31.93/4.74 thf(zip_derived_cl0, plain,
% 31.93/4.74 (![X0 : $i > $o, X1 : $i]: ( (X0 @ (eps @ X0)) | ~ (X0 @ X1))),
% 31.93/4.74 inference('cnf', [status(esa)], [choiceax])).
% 31.93/4.74 thf(zip_derived_cl16, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1))))))))))))
% 31.93/4.74 != (sk__3))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1))))))))))))
% 31.93/4.74 != (sk__2))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 31.93/4.74 != (sk__1))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_)))),
% 31.93/4.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl9])).
% 31.93/4.74 thf(zip_derived_cl24, plain,
% 31.93/4.74 (![X8 : $i]:
% 31.93/4.74 (~ (((((((X8) = (sk__3))) & (((!!) @ (^[Y0 : $o]: (f0 @ Y0)))))) |
% 31.93/4.74 (((((X8) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((f0 @ Y0) <=> (Y0)))))))) |
% 31.93/4.74 (((((X8) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((X8) = (sk_))) & (((!!) @ (^[Y0 : $o]: (((~) @ (f0 @ Y0))))))))))
% 31.93/4.74 | (((((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1)))))))))))) =
% 31.93/4.74 (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (f0 @ Y0)))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1)))))))))))) =
% 31.93/4.74 (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((f0 @ Y0) <=> (Y0)))))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1)))))))))))) =
% 31.93/4.74 (sk__1))) &
% 31.93/4.74 (((f0) = (~))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1)))))))))))) =
% 31.93/4.74 (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((~) @ (f0 @ Y0)))))))))))),
% 31.93/4.74 inference('inst_choice(((^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) & (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1)))))))))))))',
% 31.93/4.74 [status(thm)], [zip_derived_cl0, zip_derived_cl16])).
% 31.93/4.74 thf(zip_derived_cl626, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1)))))) &
% 31.93/4.74 (((Y0) = (sk_))))) |
% 31.93/4.74 (((((f0) = (~))) & (((Y0) = (sk__1))))) |
% 31.93/4.74 (((((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))) &
% 31.93/4.74 (((Y0) = (sk__2))))) |
% 31.93/4.74 (((((!!) @ (^[Y1 : $o]: (f0 @ Y1)))) & (((Y0) = (sk__3)))))))))
% 31.93/4.74 = (sk_))
% 31.93/4.74 | ~ (zip_tseitin_46))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl24])).
% 31.93/4.74 thf(zip_derived_cl0, plain,
% 31.93/4.74 (![X0 : $i > $o, X1 : $i]: ( (X0 @ (eps @ X0)) | ~ (X0 @ X1))),
% 31.93/4.74 inference('cnf', [status(esa)], [choiceax])).
% 31.93/4.74 thf(zip_derived_cl16, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1))))))))))))
% 31.93/4.74 != (sk__3))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1))))))))))))
% 31.93/4.74 != (sk__2))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 31.93/4.74 != (sk__1))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_)))),
% 31.93/4.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl9])).
% 31.93/4.74 thf(zip_derived_cl22, plain,
% 31.93/4.74 (![X6 : $i]:
% 31.93/4.74 (~ (((((((X6) = (sk__3))) & (((!!) @ (^[Y0 : $o]: (f1 @ Y0)))))) |
% 31.93/4.74 (((((X6) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((f1 @ Y0) <=> (Y0)))))))) |
% 31.93/4.74 (((((X6) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((X6) = (sk_))) & (((!!) @ (^[Y0 : $o]: (((~) @ (f1 @ Y0))))))))))
% 31.93/4.74 | (((((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1)))))))))))) =
% 31.93/4.74 (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (f1 @ Y0)))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1)))))))))))) =
% 31.93/4.74 (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((f1 @ Y0) <=> (Y0)))))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1)))))))))))) =
% 31.93/4.74 (sk__1))) &
% 31.93/4.74 (((f1) = (~))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1)))))))))))) =
% 31.93/4.74 (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((~) @ (f1 @ Y0)))))))))))),
% 31.93/4.74 inference('inst_choice(((^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) & (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1)))))))))))))',
% 31.93/4.74 [status(thm)], [zip_derived_cl0, zip_derived_cl16])).
% 31.93/4.74 thf(zip_derived_cl437, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1)))))) &
% 31.93/4.74 (((Y0) = (sk_))))) |
% 31.93/4.74 (((((f1) = (~))) & (((Y0) = (sk__1))))) |
% 31.93/4.74 (((((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))) &
% 31.93/4.74 (((Y0) = (sk__2))))) |
% 31.93/4.74 (((((!!) @ (^[Y1 : $o]: (f1 @ Y1)))) & (((Y0) = (sk__3)))))))))
% 31.93/4.74 = (sk__1))
% 31.93/4.74 | ~ (zip_tseitin_33))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl22])).
% 31.93/4.74 thf(zip_derived_cl248, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1)))))) &
% 31.93/4.74 (((Y0) = (sk_))))) |
% 31.93/4.74 (((((f2) = (~))) & (((Y0) = (sk__1))))) |
% 31.93/4.74 (((((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))) &
% 31.93/4.74 (((Y0) = (sk__2))))) |
% 31.93/4.74 (((((!!) @ (^[Y1 : $o]: (f2 @ Y1)))) & (((Y0) = (sk__3)))))))))
% 31.93/4.74 = (sk__2))
% 31.93/4.74 | ~ (zip_tseitin_20))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl20])).
% 31.93/4.74 thf(zip_derived_cl0, plain,
% 31.93/4.74 (![X0 : $i > $o, X1 : $i]: ( (X0 @ (eps @ X0)) | ~ (X0 @ X1))),
% 31.93/4.74 inference('cnf', [status(esa)], [choiceax])).
% 31.93/4.74 thf(zip_derived_cl16, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1))))))))))))
% 31.93/4.74 != (sk__3))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1))))))))))))
% 31.93/4.74 != (sk__2))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 31.93/4.74 != (sk__1))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_)))),
% 31.93/4.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl9])).
% 31.93/4.74 thf(zip_derived_cl18, plain,
% 31.93/4.74 (![X2 : $i]:
% 31.93/4.74 (~ (((((((X2) = (sk__3))) & (((!!) @ (^[Y0 : $o]: (f3 @ Y0)))))) |
% 31.93/4.74 (((((X2) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((f3 @ Y0) <=> (Y0)))))))) |
% 31.93/4.74 (((((X2) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((X2) = (sk_))) & (((!!) @ (^[Y0 : $o]: (((~) @ (f3 @ Y0))))))))))
% 31.93/4.74 | (((((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1)))))))))))) =
% 31.93/4.74 (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (f3 @ Y0)))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1)))))))))))) =
% 31.93/4.74 (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((f3 @ Y0) <=> (Y0)))))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1)))))))))))) =
% 31.93/4.74 (sk__1))) &
% 31.93/4.74 (((f3) = (~))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1)))))))))))) =
% 31.93/4.74 (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((~) @ (f3 @ Y0)))))))))))),
% 31.93/4.74 inference('inst_choice(((^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) & (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1)))))))))))))',
% 31.93/4.74 [status(thm)], [zip_derived_cl0, zip_derived_cl16])).
% 31.93/4.74 thf(zip_derived_cl42, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1)))))) &
% 31.93/4.74 (((Y0) = (sk_))))) |
% 31.93/4.74 (((((f3) = (~))) & (((Y0) = (sk__1))))) |
% 31.93/4.74 (((((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))) &
% 31.93/4.74 (((Y0) = (sk__2))))) |
% 31.93/4.74 (((((!!) @ (^[Y1 : $o]: (f3 @ Y1)))) & (((Y0) = (sk__3)))))))))
% 31.93/4.74 = (sk__3))
% 31.93/4.74 | ~ (zip_tseitin_0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl18])).
% 31.93/4.74 thf(zip_derived_cl16, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1))))))))))))
% 31.93/4.74 != (sk__3))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1))))))))))))
% 31.93/4.74 != (sk__2))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 31.93/4.74 != (sk__1))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_)))),
% 31.93/4.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl9])).
% 31.93/4.74 thf(zip_derived_cl63, plain,
% 31.93/4.74 ((((sk__3) != (sk__3))
% 31.93/4.74 | ~ (zip_tseitin_0)
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 31.93/4.74 != (sk__1))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1))))))))))))
% 31.93/4.74 != (sk__2)))),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl16])).
% 31.93/4.74 thf(zip_derived_cl66, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1))))))))))))
% 31.93/4.74 != (sk__2))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 31.93/4.74 != (sk__1))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_))
% 31.93/4.74 | ~ (zip_tseitin_0))),
% 31.93/4.74 inference('simplify', [status(thm)], [zip_derived_cl63])).
% 31.93/4.74 thf(zip_derived_cl58, plain,
% 31.93/4.74 (![X0 : $i]:
% 31.93/4.74 ( (zip_tseitin_4)
% 31.93/4.74 | (zip_tseitin_3)
% 31.93/4.74 | (zip_tseitin_2)
% 31.93/4.74 | (zip_tseitin_0)
% 31.93/4.74 | ~ (zip_tseitin_5 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl18])).
% 31.93/4.74 thf(f3f, axiom, (f3 @ $false)).
% 31.93/4.74 thf(zip_derived_cl7, plain, ( (f3 @ ($false))),
% 31.93/4.74 inference('cnf', [status(esa)], [f3f])).
% 31.93/4.74 thf(zip_derived_cl51, plain, (![X0 : $o]: (~ (f3 @ X0) | ~ (zip_tseitin_4))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl18])).
% 31.93/4.74 thf(zip_derived_cl67, plain, (~ (zip_tseitin_4)),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl51])).
% 31.93/4.74 thf(f3t, axiom, (f3 @ $true)).
% 31.93/4.74 thf(zip_derived_cl8, plain, ( (f3 @ ($true))),
% 31.93/4.74 inference('cnf', [status(esa)], [f3t])).
% 31.93/4.74 thf(zip_derived_cl49, plain, ((((f3) = (~)) | ~ (zip_tseitin_3))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl18])).
% 31.93/4.74 thf(zip_derived_cl119, plain,
% 31.93/4.74 (![X1 : $o]: (((f3 @ X1) = (((~) @ X1))) | ~ (zip_tseitin_3))),
% 31.93/4.74 inference('ho_complete_eq', [status(thm)], [zip_derived_cl49])).
% 31.93/4.74 thf(zip_derived_cl120, plain,
% 31.93/4.74 (![X1 : $o]: (((f3 @ X1) != (X1)) | ~ (zip_tseitin_3))),
% 31.93/4.74 inference('simplify nested equalities', [status(thm)],
% 31.93/4.74 [zip_derived_cl119])).
% 31.93/4.74 thf(zip_derived_cl123, plain,
% 31.93/4.74 (![X0 : $o]: (~ (zip_tseitin_3) | ~ (X0) | ~ (f3 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl120])).
% 31.93/4.74 thf(zip_derived_cl126, plain, (~ (zip_tseitin_3)),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl8, zip_derived_cl123])).
% 31.93/4.74 thf(zip_derived_cl45, plain,
% 31.93/4.74 (![X0 : $o]: (~ (f3 @ X0) | (X0) | ~ (zip_tseitin_1 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl18])).
% 31.93/4.74 thf(zip_derived_cl7, plain, ( (f3 @ ($false))),
% 31.93/4.74 inference('cnf', [status(esa)], [f3f])).
% 31.93/4.74 thf(zip_derived_cl203, plain, (~ (zip_tseitin_1 @ ($false))),
% 31.93/4.74 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl7])).
% 31.93/4.74 thf(zip_derived_cl47, plain,
% 31.93/4.74 (![X0 : $o]: ( (zip_tseitin_1 @ X0) | ~ (zip_tseitin_2))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl18])).
% 31.93/4.74 thf(zip_derived_cl223, plain, (~ (zip_tseitin_2)),
% 31.93/4.74 inference('sup+', [status(thm)], [zip_derived_cl203, zip_derived_cl47])).
% 31.93/4.74 thf(zip_derived_cl961, plain,
% 31.93/4.74 (![X0 : $i]: ( (zip_tseitin_0) | ~ (zip_tseitin_5 @ X0))),
% 31.93/4.74 inference('demod', [status(thm)],
% 31.93/4.74 [zip_derived_cl58, zip_derived_cl67, zip_derived_cl126,
% 31.93/4.74 zip_derived_cl223])).
% 31.93/4.74 thf(zip_derived_cl54, plain,
% 31.93/4.74 (![X0 : $i]: ( (zip_tseitin_5 @ X0) | ((X0) != (sk__3)) | ~ (f3 @ sk__4))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl18])).
% 31.93/4.74 thf(zip_derived_cl59, plain, ((~ (f3 @ sk__4) | (zip_tseitin_5 @ sk__3))),
% 31.93/4.74 inference('simplify', [status(thm)], [zip_derived_cl54])).
% 31.93/4.74 thf(zip_derived_cl53, plain,
% 31.93/4.74 (![X0 : $o]: ( (zip_tseitin_1 @ X0) | (X0) | (f3 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl18])).
% 31.93/4.74 thf(zip_derived_cl304, plain,
% 31.93/4.74 (( (zip_tseitin_5 @ sk__3) | (sk__4) | (zip_tseitin_1 @ sk__4))),
% 31.93/4.74 inference('sup+', [status(thm)], [zip_derived_cl59, zip_derived_cl53])).
% 31.93/4.74 thf(zip_derived_cl313, plain,
% 31.93/4.74 (( (zip_tseitin_5 @ sk__3) | (sk__4) | (zip_tseitin_1 @ ($false)))),
% 31.93/4.74 inference('local_rewriting', [status(thm)], [zip_derived_cl304])).
% 31.93/4.74 thf(zip_derived_cl203, plain, (~ (zip_tseitin_1 @ ($false))),
% 31.93/4.74 inference('sup+', [status(thm)], [zip_derived_cl45, zip_derived_cl7])).
% 31.93/4.74 thf(zip_derived_cl321, plain, (( (zip_tseitin_5 @ sk__3) | (sk__4))),
% 31.93/4.74 inference('demod', [status(thm)], [zip_derived_cl313, zip_derived_cl203])).
% 31.93/4.74 thf(zip_derived_cl59, plain, ((~ (f3 @ sk__4) | (zip_tseitin_5 @ sk__3))),
% 31.93/4.74 inference('simplify', [status(thm)], [zip_derived_cl54])).
% 31.93/4.74 thf(zip_derived_cl322, plain,
% 31.93/4.74 ((~ (f3 @ ($true)) | (zip_tseitin_5 @ sk__3) | (zip_tseitin_5 @ sk__3))),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl321, zip_derived_cl59])).
% 31.93/4.74 thf(zip_derived_cl8, plain, ( (f3 @ ($true))),
% 31.93/4.74 inference('cnf', [status(esa)], [f3t])).
% 31.93/4.74 thf(zip_derived_cl323, plain,
% 31.93/4.74 (( (zip_tseitin_5 @ sk__3) | (zip_tseitin_5 @ sk__3))),
% 31.93/4.74 inference('demod', [status(thm)], [zip_derived_cl322, zip_derived_cl8])).
% 31.93/4.74 thf(zip_derived_cl324, plain, ( (zip_tseitin_5 @ sk__3)),
% 31.93/4.74 inference('simplify', [status(thm)], [zip_derived_cl323])).
% 31.93/4.74 thf(zip_derived_cl962, plain, ( (zip_tseitin_0)),
% 31.93/4.74 inference('sup+', [status(thm)], [zip_derived_cl961, zip_derived_cl324])).
% 31.93/4.74 thf(zip_derived_cl1378, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1))))))))))))
% 31.93/4.74 != (sk__2))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 31.93/4.74 != (sk__1))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_)))),
% 31.93/4.74 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl962])).
% 31.93/4.74 thf(zip_derived_cl1379, plain,
% 31.93/4.74 ((((sk__2) != (sk__2))
% 31.93/4.74 | ~ (zip_tseitin_20)
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 31.93/4.74 != (sk__1)))),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl248, zip_derived_cl1378])).
% 31.93/4.74 thf(zip_derived_cl1386, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 31.93/4.74 != (sk__1))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_))
% 31.93/4.74 | ~ (zip_tseitin_20))),
% 31.93/4.74 inference('simplify', [status(thm)], [zip_derived_cl1379])).
% 31.93/4.74 thf(zip_derived_cl1387, plain,
% 31.93/4.74 ((((sk__1) != (sk__1))
% 31.93/4.74 | ~ (zip_tseitin_33)
% 31.93/4.74 | ~ (zip_tseitin_20)
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_)))),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl437, zip_derived_cl1386])).
% 31.93/4.74 thf(zip_derived_cl1392, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_))
% 31.93/4.74 | ~ (zip_tseitin_20)
% 31.93/4.74 | ~ (zip_tseitin_33))),
% 31.93/4.74 inference('simplify', [status(thm)], [zip_derived_cl1387])).
% 31.93/4.74 thf(zip_derived_cl1393, plain,
% 31.93/4.74 ((((sk_) != (sk_))
% 31.93/4.74 | ~ (zip_tseitin_46)
% 31.93/4.74 | ~ (zip_tseitin_33)
% 31.93/4.74 | ~ (zip_tseitin_20))),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl626, zip_derived_cl1392])).
% 31.93/4.74 thf(zip_derived_cl1397, plain,
% 31.93/4.74 ((~ (zip_tseitin_20) | ~ (zip_tseitin_33) | ~ (zip_tseitin_46))),
% 31.93/4.74 inference('simplify', [status(thm)], [zip_derived_cl1393])).
% 31.93/4.74 thf(zip_derived_cl447, plain,
% 31.93/4.74 (![X0 : $i]:
% 31.93/4.74 ( (zip_tseitin_34)
% 31.93/4.74 | (zip_tseitin_33)
% 31.93/4.74 | (zip_tseitin_32)
% 31.93/4.74 | (zip_tseitin_30)
% 31.93/4.74 | ~ (zip_tseitin_35 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl22])).
% 31.93/4.74 thf(f1f, axiom, (f1 @ $false)).
% 31.93/4.74 thf(zip_derived_cl3, plain, ( (f1 @ ($false))),
% 31.93/4.74 inference('cnf', [status(esa)], [f1f])).
% 31.93/4.74 thf(zip_derived_cl440, plain,
% 31.93/4.74 (![X0 : $o]: (~ (f1 @ X0) | ~ (zip_tseitin_34))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl22])).
% 31.93/4.74 thf(zip_derived_cl494, plain, (~ (zip_tseitin_34)),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl440])).
% 31.93/4.74 thf(zip_derived_cl434, plain,
% 31.93/4.74 (![X0 : $o]: (~ (f1 @ X0) | (X0) | ~ (zip_tseitin_31 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl22])).
% 31.93/4.74 thf(zip_derived_cl3, plain, ( (f1 @ ($false))),
% 31.93/4.74 inference('cnf', [status(esa)], [f1f])).
% 31.93/4.74 thf(zip_derived_cl927, plain, (~ (zip_tseitin_31 @ ($false))),
% 31.93/4.74 inference('sup+', [status(thm)], [zip_derived_cl434, zip_derived_cl3])).
% 31.93/4.74 thf(zip_derived_cl436, plain,
% 31.93/4.74 (![X0 : $o]: ( (zip_tseitin_31 @ X0) | ~ (zip_tseitin_32))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl22])).
% 31.93/4.74 thf(zip_derived_cl957, plain, (~ (zip_tseitin_32)),
% 31.93/4.74 inference('sup+', [status(thm)], [zip_derived_cl927, zip_derived_cl436])).
% 31.93/4.74 thf(zip_derived_cl432, plain,
% 31.93/4.74 (![X0 : $o]: ( (f1 @ X0) | ~ (zip_tseitin_30))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl22])).
% 31.93/4.74 thf(f1t, axiom, (~( f1 @ $true ))).
% 31.93/4.74 thf(zip_derived_cl4, plain, (~ (f1 @ ($true))),
% 31.93/4.74 inference('cnf', [status(esa)], [f1t])).
% 31.93/4.74 thf(zip_derived_cl454, plain, (~ (zip_tseitin_30)),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl432, zip_derived_cl4])).
% 31.93/4.74 thf(zip_derived_cl6430, plain,
% 31.93/4.74 (![X0 : $i]: ( (zip_tseitin_33) | ~ (zip_tseitin_35 @ X0))),
% 31.93/4.74 inference('demod', [status(thm)],
% 31.93/4.74 [zip_derived_cl447, zip_derived_cl494, zip_derived_cl957,
% 31.93/4.74 zip_derived_cl454])).
% 31.93/4.74 thf(zip_derived_cl445, plain,
% 31.93/4.74 (![X0 : $i]: ( (zip_tseitin_35 @ X0) | ((X0) != (sk__1)) | ((f1) != (~)))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl22])).
% 31.93/4.74 thf(zip_derived_cl450, plain, ((((f1) != (~)) | (zip_tseitin_35 @ sk__1))),
% 31.93/4.74 inference('simplify', [status(thm)], [zip_derived_cl445])).
% 31.93/4.74 thf(zip_derived_cl6431, plain, (( (zip_tseitin_33) | ((f1) != (~)))),
% 31.93/4.74 inference('sup+', [status(thm)], [zip_derived_cl6430, zip_derived_cl450])).
% 31.93/4.74 thf(zip_derived_cl6455, plain,
% 31.93/4.74 (( (zip_tseitin_33) | ((f1 @ '#sk397') != (((~) @ '#sk397'))))),
% 31.93/4.74 inference('neg_ext', [status(thm)], [zip_derived_cl6431])).
% 31.93/4.74 thf(zip_derived_cl6456, plain,
% 31.93/4.74 (( (zip_tseitin_33) | ((f1 @ '#sk397') = ('#sk397')))),
% 31.93/4.74 inference('simplify nested equalities', [status(thm)],
% 31.93/4.74 [zip_derived_cl6455])).
% 31.93/4.74 thf(zip_derived_cl6465, plain,
% 31.93/4.74 ((~ (f1 @ '#sk397') | ('#sk397') | (zip_tseitin_33))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl6456])).
% 31.93/4.74 thf(zip_derived_cl6468, plain,
% 31.93/4.74 ((~ (f1 @ ($false)) | ('#sk397') | (zip_tseitin_33))),
% 31.93/4.74 inference('local_rewriting', [status(thm)], [zip_derived_cl6465])).
% 31.93/4.74 thf(zip_derived_cl3, plain, ( (f1 @ ($false))),
% 31.93/4.74 inference('cnf', [status(esa)], [f1f])).
% 31.93/4.74 thf(zip_derived_cl6469, plain, (( ('#sk397') | (zip_tseitin_33))),
% 31.93/4.74 inference('demod', [status(thm)], [zip_derived_cl6468, zip_derived_cl3])).
% 31.93/4.74 thf(zip_derived_cl6464, plain,
% 31.93/4.74 ((~ ('#sk397') | (f1 @ '#sk397') | (zip_tseitin_33))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl6456])).
% 31.93/4.74 thf(zip_derived_cl6466, plain,
% 31.93/4.74 ((~ ('#sk397') | (f1 @ ($true)) | (zip_tseitin_33))),
% 31.93/4.74 inference('local_rewriting', [status(thm)], [zip_derived_cl6464])).
% 31.93/4.74 thf(zip_derived_cl4, plain, (~ (f1 @ ($true))),
% 31.93/4.74 inference('cnf', [status(esa)], [f1t])).
% 31.93/4.74 thf(zip_derived_cl6467, plain, (( (zip_tseitin_33) | ~ ('#sk397'))),
% 31.93/4.74 inference('clc', [status(thm)], [zip_derived_cl6466, zip_derived_cl4])).
% 31.93/4.74 thf(zip_derived_cl6472, plain, ( (zip_tseitin_33)),
% 31.93/4.74 inference('clc', [status(thm)], [zip_derived_cl6469, zip_derived_cl6467])).
% 31.93/4.74 thf(zip_derived_cl6481, plain, ((~ (zip_tseitin_20) | ~ (zip_tseitin_46))),
% 31.93/4.74 inference('demod', [status(thm)],
% 31.93/4.74 [zip_derived_cl1397, zip_derived_cl6472])).
% 31.93/4.74 thf(zip_derived_cl634, plain,
% 31.93/4.74 (![X0 : $i]:
% 31.93/4.74 ( (zip_tseitin_46)
% 31.93/4.74 | (zip_tseitin_45)
% 31.93/4.74 | (zip_tseitin_44)
% 31.93/4.74 | (zip_tseitin_42)
% 31.93/4.74 | ~ (zip_tseitin_47 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl24])).
% 31.93/4.74 thf(zip_derived_cl625, plain, ((((f0) = (~)) | ~ (zip_tseitin_45))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl24])).
% 31.93/4.74 thf(zip_derived_cl651, plain,
% 31.93/4.74 (![X1 : $o]: (((f0 @ X1) = (((~) @ X1))) | ~ (zip_tseitin_45))),
% 31.93/4.74 inference('ho_complete_eq', [status(thm)], [zip_derived_cl625])).
% 31.93/4.74 thf(zip_derived_cl652, plain,
% 31.93/4.74 (![X1 : $o]: (((f0 @ X1) != (X1)) | ~ (zip_tseitin_45))),
% 31.93/4.74 inference('simplify nested equalities', [status(thm)],
% 31.93/4.74 [zip_derived_cl651])).
% 31.93/4.74 thf(zip_derived_cl656, plain,
% 31.93/4.74 (![X0 : $o]: (~ (zip_tseitin_45) | (X0) | (f0 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl652])).
% 31.93/4.74 thf(f0f, axiom, (~( f0 @ $false ))).
% 31.93/4.74 thf(zip_derived_cl1, plain, (~ (f0 @ ($false))),
% 31.93/4.74 inference('cnf', [status(esa)], [f0f])).
% 31.93/4.74 thf(zip_derived_cl659, plain, (~ (zip_tseitin_45)),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl656, zip_derived_cl1])).
% 31.93/4.74 thf(zip_derived_cl620, plain,
% 31.93/4.74 (![X0 : $o]: (~ (X0) | (f0 @ X0) | ~ (zip_tseitin_43 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl24])).
% 31.93/4.74 thf(f0t, axiom, (~( f0 @ $true ))).
% 31.93/4.74 thf(zip_derived_cl2, plain, (~ (f0 @ ($true))),
% 31.93/4.74 inference('cnf', [status(esa)], [f0t])).
% 31.93/4.74 thf(zip_derived_cl2926, plain, (~ (zip_tseitin_43 @ ($true))),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl620, zip_derived_cl2])).
% 31.93/4.74 thf(zip_derived_cl623, plain,
% 31.93/4.74 (![X0 : $o]: ( (zip_tseitin_43 @ X0) | ~ (zip_tseitin_44))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl24])).
% 31.93/4.74 thf(zip_derived_cl2961, plain, (~ (zip_tseitin_44)),
% 31.93/4.74 inference('sup+', [status(thm)], [zip_derived_cl2926, zip_derived_cl623])).
% 31.93/4.74 thf(zip_derived_cl619, plain,
% 31.93/4.74 (![X0 : $o]: ( (f0 @ X0) | ~ (zip_tseitin_42))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl24])).
% 31.93/4.74 thf(zip_derived_cl1, plain, (~ (f0 @ ($false))),
% 31.93/4.74 inference('cnf', [status(esa)], [f0f])).
% 31.93/4.74 thf(zip_derived_cl641, plain, (~ (zip_tseitin_42)),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl619, zip_derived_cl1])).
% 31.93/4.74 thf(zip_derived_cl10618, plain,
% 31.93/4.74 (![X0 : $i]: ( (zip_tseitin_46) | ~ (zip_tseitin_47 @ X0))),
% 31.93/4.74 inference('demod', [status(thm)],
% 31.93/4.74 [zip_derived_cl634, zip_derived_cl659, zip_derived_cl2961,
% 31.93/4.74 zip_derived_cl641])).
% 31.93/4.74 thf(zip_derived_cl633, plain,
% 31.93/4.74 (![X0 : $i]: ( (zip_tseitin_47 @ X0) | ((X0) != (sk_)) | (f0 @ sk__27))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl24])).
% 31.93/4.74 thf(zip_derived_cl638, plain, (( (f0 @ sk__27) | (zip_tseitin_47 @ sk_))),
% 31.93/4.74 inference('simplify', [status(thm)], [zip_derived_cl633])).
% 31.93/4.74 thf(zip_derived_cl0, plain,
% 31.93/4.74 (![X0 : $i > $o, X1 : $i]: ( (X0 @ (eps @ X0)) | ~ (X0 @ X1))),
% 31.93/4.74 inference('cnf', [status(esa)], [choiceax])).
% 31.93/4.74 thf(zip_derived_cl16, plain,
% 31.93/4.74 ((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1))))))))))))
% 31.93/4.74 != (sk__3))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1))))))))))))
% 31.93/4.74 != (sk__2))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 31.93/4.74 != (sk__1))
% 31.93/4.74 | ((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 31.93/4.74 != (sk_)))),
% 31.93/4.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl9])).
% 31.93/4.74 thf(zip_derived_cl23, plain,
% 31.93/4.74 (![X7 : $i]:
% 31.93/4.74 ( (((((((X7) = (sk__3))) & (((!!) @ (^[Y0 : $o]: (f0 @ Y0)))))) |
% 31.93/4.74 (((((X7) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((f0 @ Y0) <=> (Y0)))))))) |
% 31.93/4.74 (((((X7) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((X7) = (sk_))) & (((!!) @ (^[Y0 : $o]: (((~) @ (f0 @ Y0))))))))))
% 31.93/4.74 | ~ (((((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((~) @ (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1)))))))))))))) =
% 31.93/4.74 (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (f0 @ Y0)))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((~) @ (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1)))))))))))))) =
% 31.93/4.74 (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((f0 @ Y0) <=> (Y0)))))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((~) @ (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1)))))))))))))) =
% 31.93/4.74 (sk__1))) &
% 31.93/4.74 (((f0) = (~))))) |
% 31.93/4.74 (((((eps @
% 31.93/4.74 (^[Y0 : $i]:
% 31.93/4.74 (((~) @ (((((((Y0) = (sk__3))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1)))))))))))))) =
% 31.93/4.74 (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y0 : $o]: (((~) @ (f0 @ Y0)))))))))))),
% 31.93/4.74 inference('inst_choice(((^[Y0 : $i]:
% 31.93/4.74 (((~) @ (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 31.93/4.74 (((((Y0) = (sk__2))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 31.93/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 31.93/4.74 (((((Y0) = (sk_))) &
% 31.93/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1)))))))))))))))',
% 31.93/4.74 [status(thm)], [zip_derived_cl0, zip_derived_cl16])).
% 31.93/4.74 thf(zip_derived_cl530, plain,
% 31.93/4.74 (![X0 : $o]: (~ (f0 @ X0) | (X0) | ~ (zip_tseitin_36 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl23])).
% 31.93/4.74 thf(zip_derived_cl1877, plain,
% 31.93/4.74 (( (zip_tseitin_47 @ sk_) | ~ (zip_tseitin_36 @ sk__27) | (sk__27))),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl638, zip_derived_cl530])).
% 31.93/4.74 thf(zip_derived_cl1885, plain,
% 31.93/4.74 (( (zip_tseitin_47 @ sk_) | ~ (zip_tseitin_36 @ ($false)) | (sk__27))),
% 31.93/4.74 inference('local_rewriting', [status(thm)], [zip_derived_cl1877])).
% 31.93/4.74 thf(zip_derived_cl522, plain,
% 31.93/4.74 (![X0 : $o]: ( (zip_tseitin_36 @ X0) | (X0) | (f0 @ X0))),
% 31.93/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl23])).
% 31.93/4.74 thf(zip_derived_cl1, plain, (~ (f0 @ ($false))),
% 31.93/4.74 inference('cnf', [status(esa)], [f0f])).
% 31.93/4.74 thf(zip_derived_cl903, plain, ( (zip_tseitin_36 @ ($false))),
% 31.93/4.74 inference('sup-', [status(thm)], [zip_derived_cl522, zip_derived_cl1])).
% 31.93/4.74 thf(zip_derived_cl2775, plain, (( (zip_tseitin_47 @ sk_) | (sk__27))),
% 31.93/4.74 inference('demod', [status(thm)], [zip_derived_cl1885, zip_derived_cl903])).
% 31.93/4.74 thf(zip_derived_cl638, plain, (( (f0 @ sk__27) | (zip_tseitin_47 @ sk_))),
% 32.14/4.74 inference('simplify', [status(thm)], [zip_derived_cl633])).
% 32.14/4.74 thf(zip_derived_cl2776, plain,
% 32.14/4.74 (( (f0 @ ($true)) | (zip_tseitin_47 @ sk_) | (zip_tseitin_47 @ sk_))),
% 32.14/4.74 inference('sup+', [status(thm)], [zip_derived_cl2775, zip_derived_cl638])).
% 32.14/4.74 thf(zip_derived_cl2, plain, (~ (f0 @ ($true))),
% 32.14/4.74 inference('cnf', [status(esa)], [f0t])).
% 32.14/4.74 thf(zip_derived_cl2777, plain,
% 32.14/4.74 (( (zip_tseitin_47 @ sk_) | (zip_tseitin_47 @ sk_))),
% 32.14/4.74 inference('demod', [status(thm)], [zip_derived_cl2776, zip_derived_cl2])).
% 32.14/4.74 thf(zip_derived_cl2778, plain, ( (zip_tseitin_47 @ sk_)),
% 32.14/4.74 inference('simplify', [status(thm)], [zip_derived_cl2777])).
% 32.14/4.74 thf(zip_derived_cl10620, plain, ( (zip_tseitin_46)),
% 32.14/4.74 inference('sup+', [status(thm)],
% 32.14/4.74 [zip_derived_cl10618, zip_derived_cl2778])).
% 32.14/4.74 thf(zip_derived_cl10654, plain, (~ (zip_tseitin_20)),
% 32.14/4.74 inference('demod', [status(thm)],
% 32.14/4.74 [zip_derived_cl6481, zip_derived_cl10620])).
% 32.14/4.74 thf(zip_derived_cl10687, plain, (![X0 : $i]: ~ (zip_tseitin_23 @ X0)),
% 32.14/4.74 inference('demod', [status(thm)],
% 32.14/4.74 [zip_derived_cl3967, zip_derived_cl10654])).
% 32.14/4.74 thf(zip_derived_cl10716, plain, (~ (zip_tseitin_19 @ sk__14)),
% 32.14/4.74 inference('demod', [status(thm)],
% 32.14/4.74 [zip_derived_cl262, zip_derived_cl10687])).
% 32.14/4.74 thf(zip_derived_cl10716, plain, (~ (zip_tseitin_19 @ sk__14)),
% 32.14/4.74 inference('demod', [status(thm)],
% 32.14/4.74 [zip_derived_cl262, zip_derived_cl10687])).
% 32.14/4.74 thf(zip_derived_cl255, plain,
% 32.14/4.74 (![X0 : $o]: ( (zip_tseitin_19 @ X0) | (X0) | (f2 @ X0))),
% 32.14/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl20])).
% 32.14/4.74 thf(zip_derived_cl0, plain,
% 32.14/4.74 (![X0 : $i > $o, X1 : $i]: ( (X0 @ (eps @ X0)) | ~ (X0 @ X1))),
% 32.14/4.74 inference('cnf', [status(esa)], [choiceax])).
% 32.14/4.74 thf(zip_derived_cl16, plain,
% 32.14/4.74 ((((eps @
% 32.14/4.74 (^[Y0 : $i]:
% 32.14/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f3 @ Y1)))))) |
% 32.14/4.74 (((((Y0) = (sk__2))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((f3 @ Y1) <=> (Y1)))))))) |
% 32.14/4.74 (((((Y0) = (sk__1))) & (((f3) = (~))))) |
% 32.14/4.74 (((((Y0) = (sk_))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f3 @ Y1))))))))))))
% 32.14/4.74 != (sk__3))
% 32.14/4.74 | ((eps @
% 32.14/4.74 (^[Y0 : $i]:
% 32.14/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 32.14/4.74 (((((Y0) = (sk__2))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 32.14/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 32.14/4.74 (((((Y0) = (sk_))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1))))))))))))
% 32.14/4.74 != (sk__2))
% 32.14/4.74 | ((eps @
% 32.14/4.74 (^[Y0 : $i]:
% 32.14/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f1 @ Y1)))))) |
% 32.14/4.74 (((((Y0) = (sk__2))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((f1 @ Y1) <=> (Y1)))))))) |
% 32.14/4.74 (((((Y0) = (sk__1))) & (((f1) = (~))))) |
% 32.14/4.74 (((((Y0) = (sk_))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f1 @ Y1))))))))))))
% 32.14/4.74 != (sk__1))
% 32.14/4.74 | ((eps @
% 32.14/4.74 (^[Y0 : $i]:
% 32.14/4.74 (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f0 @ Y1)))))) |
% 32.14/4.74 (((((Y0) = (sk__2))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((f0 @ Y1) <=> (Y1)))))))) |
% 32.14/4.74 (((((Y0) = (sk__1))) & (((f0) = (~))))) |
% 32.14/4.74 (((((Y0) = (sk_))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f0 @ Y1))))))))))))
% 32.14/4.74 != (sk_)))),
% 32.14/4.74 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl9])).
% 32.14/4.74 thf(zip_derived_cl19, plain,
% 32.14/4.74 (![X3 : $i]:
% 32.14/4.74 ( (((((((X3) = (sk__3))) & (((!!) @ (^[Y0 : $o]: (f2 @ Y0)))))) |
% 32.14/4.74 (((((X3) = (sk__2))) &
% 32.14/4.74 (((!!) @ (^[Y0 : $o]: (((f2 @ Y0) <=> (Y0)))))))) |
% 32.14/4.74 (((((X3) = (sk__1))) & (((f2) = (~))))) |
% 32.14/4.74 (((((X3) = (sk_))) & (((!!) @ (^[Y0 : $o]: (((~) @ (f2 @ Y0))))))))))
% 32.14/4.74 | ~ (((((((eps @
% 32.14/4.74 (^[Y0 : $i]:
% 32.14/4.74 (((~) @ (((((((Y0) = (sk__3))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 32.14/4.74 (((((Y0) = (sk__2))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 32.14/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 32.14/4.74 (((((Y0) = (sk_))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1)))))))))))))) =
% 32.14/4.74 (sk__3))) &
% 32.14/4.74 (((!!) @ (^[Y0 : $o]: (f2 @ Y0)))))) |
% 32.14/4.74 (((((eps @
% 32.14/4.74 (^[Y0 : $i]:
% 32.14/4.74 (((~) @ (((((((Y0) = (sk__3))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 32.14/4.74 (((((Y0) = (sk__2))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 32.14/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 32.14/4.74 (((((Y0) = (sk_))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1)))))))))))))) =
% 32.14/4.74 (sk__2))) &
% 32.14/4.74 (((!!) @ (^[Y0 : $o]: (((f2 @ Y0) <=> (Y0)))))))) |
% 32.14/4.74 (((((eps @
% 32.14/4.74 (^[Y0 : $i]:
% 32.14/4.74 (((~) @ (((((((Y0) = (sk__3))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 32.14/4.74 (((((Y0) = (sk__2))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 32.14/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 32.14/4.74 (((((Y0) = (sk_))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1)))))))))))))) =
% 32.14/4.74 (sk__1))) &
% 32.14/4.74 (((f2) = (~))))) |
% 32.14/4.74 (((((eps @
% 32.14/4.74 (^[Y0 : $i]:
% 32.14/4.74 (((~) @ (((((((Y0) = (sk__3))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 32.14/4.74 (((((Y0) = (sk__2))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 32.14/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 32.14/4.74 (((((Y0) = (sk_))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1)))))))))))))) =
% 32.14/4.74 (sk_))) &
% 32.14/4.74 (((!!) @ (^[Y0 : $o]: (((~) @ (f2 @ Y0)))))))))))),
% 32.14/4.74 inference('inst_choice(((^[Y0 : $i]:
% 32.14/4.74 (((~) @ (((((((Y0) = (sk__3))) & (((!!) @ (^[Y1 : $o]: (f2 @ Y1)))))) |
% 32.14/4.74 (((((Y0) = (sk__2))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((f2 @ Y1) <=> (Y1)))))))) |
% 32.14/4.74 (((((Y0) = (sk__1))) & (((f2) = (~))))) |
% 32.14/4.74 (((((Y0) = (sk_))) &
% 32.14/4.74 (((!!) @ (^[Y1 : $o]: (((~) @ (f2 @ Y1)))))))))))))))',
% 32.14/4.74 [status(thm)], [zip_derived_cl0, zip_derived_cl16])).
% 32.14/4.74 thf(zip_derived_cl177, plain,
% 32.14/4.74 (![X0 : $o]: (~ (f2 @ X0) | (X0) | ~ (zip_tseitin_12 @ X0))),
% 32.14/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl19])).
% 32.14/4.74 thf(zip_derived_cl742, plain,
% 32.14/4.74 (![X0 : $o]:
% 32.14/4.74 ( (X0) | (zip_tseitin_19 @ X0) | ~ (zip_tseitin_12 @ X0) | (X0))),
% 32.14/4.74 inference('sup-', [status(thm)], [zip_derived_cl255, zip_derived_cl177])).
% 32.14/4.74 thf(zip_derived_cl754, plain,
% 32.14/4.74 (![X0 : $o]: (~ (zip_tseitin_12 @ X0) | (zip_tseitin_19 @ X0) | (X0))),
% 32.14/4.74 inference('simplify', [status(thm)], [zip_derived_cl742])).
% 32.14/4.74 thf(zip_derived_cl13743, plain, (( (sk__14) | ~ (zip_tseitin_12 @ sk__14))),
% 32.14/4.74 inference('sup+', [status(thm)], [zip_derived_cl10716, zip_derived_cl754])).
% 32.14/4.74 thf(zip_derived_cl13748, plain,
% 32.14/4.74 (( (sk__14) | ~ (zip_tseitin_12 @ ($false)))),
% 32.14/4.74 inference('local_rewriting', [status(thm)], [zip_derived_cl13743])).
% 32.14/4.74 thf(zip_derived_cl169, plain,
% 32.14/4.74 (![X0 : $o]: ( (zip_tseitin_12 @ X0) | (X0) | (f2 @ X0))),
% 32.14/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl19])).
% 32.14/4.74 thf(zip_derived_cl5, plain, (~ (f2 @ ($false))),
% 32.14/4.74 inference('cnf', [status(esa)], [f2f])).
% 32.14/4.74 thf(zip_derived_cl394, plain, ( (zip_tseitin_12 @ ($false))),
% 32.14/4.74 inference('sup-', [status(thm)], [zip_derived_cl169, zip_derived_cl5])).
% 32.14/4.74 thf(zip_derived_cl13750, plain, ( (sk__14)),
% 32.14/4.74 inference('demod', [status(thm)],
% 32.14/4.74 [zip_derived_cl13748, zip_derived_cl394])).
% 32.14/4.74 thf(zip_derived_cl254, plain,
% 32.14/4.74 (![X0 : $o]: ( (zip_tseitin_19 @ X0) | ~ (X0) | ~ (f2 @ X0))),
% 32.14/4.74 inference('cnf_otf', [status(thm)], [zip_derived_cl20])).
% 32.14/4.74 thf(zip_derived_cl6, plain, ( (f2 @ ($true))),
% 32.14/4.74 inference('cnf', [status(esa)], [f2t])).
% 32.14/4.74 thf(zip_derived_cl2384, plain, ( (zip_tseitin_19 @ ($true))),
% 32.14/4.74 inference('sup+', [status(thm)], [zip_derived_cl254, zip_derived_cl6])).
% 32.14/4.74 thf(zip_derived_cl13751, plain, ($false),
% 32.14/4.74 inference('demod', [status(thm)],
% 32.14/4.74 [zip_derived_cl10716, zip_derived_cl13750, zip_derived_cl2384])).
% 32.14/4.74
% 32.14/4.74 % SZS output end Refutation
% 32.14/4.74
% 32.14/4.74
% 32.14/4.74 % Terminating...
% 34.20/5.11 % Runner terminated.
% 34.20/5.11 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------