%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SYO546^1 : TPTP v9.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hhWxqIM5Yw true
% Computer : n020.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 05:07:54 PM UTC 2025
% Result : Theorem 4.74s 1.24s
% Output : Refutation 4.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYO546^1 : TPTP v9.2.0. Released v5.2.0.
% 0.08/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hhWxqIM5Yw true
% 0.16/0.36 % Computer : n020.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Oct 1 17:50:08 EDT 2025
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % Running portfolio for 300 s
% 0.16/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Number of cores: 8
% 0.16/0.37 % Python version: Python 3.6.8
% 0.16/0.37 % Running in HO mode
% 0.56/0.66 % Total configuration time : 828
% 0.56/0.66 % Estimated wc time : 1656
% 0.56/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.74 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.60/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.60/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.60/0.81 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.62/0.88 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.62/0.92 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 4.39/1.19 % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 4.74/1.24 % Solved by lams/40_c.s.sh.
% 4.74/1.24 % done 170 iterations in 0.449s
% 4.74/1.24 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.74/1.24 % SZS output start Refutation
% 4.74/1.24 thf(f_type, type, f: $o > $o).
% 4.74/1.24 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $o).
% 4.74/1.24 thf(sk__3_type, type, sk__3: $o).
% 4.74/1.24 thf(eps_type, type, eps: ($i > $o) > $i).
% 4.74/1.24 thf(zip_tseitin_3_type, type, zip_tseitin_3: $o).
% 4.74/1.24 thf(sk__1_type, type, sk__1: $o).
% 4.74/1.24 thf(zip_tseitin_1_type, type, zip_tseitin_1: $o > $o).
% 4.74/1.24 thf('#sk2_type', type, '#sk2': $o).
% 4.74/1.24 thf(zip_tseitin_0_type, type, zip_tseitin_0: $o).
% 4.74/1.24 thf(case_type, type, case: ($o > $o) > $i > $i > $i > $i > $i).
% 4.74/1.24 thf(zip_tseitin_2_type, type, zip_tseitin_2: $o).
% 4.74/1.24 thf(sk__2_type, type, sk__2: $o).
% 4.74/1.24 thf(sk__type, type, sk_: $i).
% 4.74/1.24 thf(zip_tseitin_4_type, type, zip_tseitin_4: $o).
% 4.74/1.24 thf(choiceax, axiom,
% 4.74/1.24 (![P:( $i > $o )]: ( ( ?[X:$i]: ( P @ X ) ) => ( P @ ( eps @ P ) ) ))).
% 4.74/1.24 thf(zip_derived_cl0, plain,
% 4.74/1.24 (![X0 : $i > $o, X1 : $i]: ( (X0 @ (eps @ X0)) | ~ (X0 @ X1))),
% 4.74/1.24 inference('cnf', [status(esa)], [choiceax])).
% 4.74/1.24 thf(caseood, axiom,(( case ) =
% 4.74/1.24 (^[B:( $o > $o ),X:$i,Y:$i,U:$i,V:$i]:
% 4.74/1.24 ( eps @
% 4.74/1.24 ( ^[Z:$i]:
% 4.74/1.24 ( ( ( ( B ) = ( ^[A:$o]: ( $false ) ) ) & ( ( Z ) = ( X ) ) ) |
% 4.74/1.24 ( ( ( B ) = ( (~) ) ) & ( ( Z ) = ( Y ) ) ) |
% 4.74/1.24 ( ( ( B ) = ( ^[A:$o]: ( A ) ) ) & ( ( Z ) = ( U ) ) ) |
% 4.74/1.24 ( ( ( B ) = ( ^[A:$o]: ( $true ) ) ) & ( ( Z ) = ( V ) ) ) ) ) )))).
% 4.74/1.24 thf('0', plain,
% 4.74/1.24 (( case ) =
% 4.74/1.24 ( ^[B:( $o > $o ),X:$i,Y:$i,U:$i,V:$i]:
% 4.74/1.24 ( eps @
% 4.74/1.24 ( ^[Z:$i]:
% 4.74/1.24 ( ( ( ( B ) = ( ^[A:$o]: ( $false ) ) ) & ( ( Z ) = ( X ) ) ) |
% 4.74/1.24 ( ( ( B ) = ( (~) ) ) & ( ( Z ) = ( Y ) ) ) |
% 4.74/1.24 ( ( ( B ) = ( ^[A:$o]: ( A ) ) ) & ( ( Z ) = ( U ) ) ) |
% 4.74/1.24 ( ( ( B ) = ( ^[A:$o]: ( $true ) ) ) & ( ( Z ) = ( V ) ) ) ) ) ) )),
% 4.74/1.24 inference('simplify_rw_rule', [status(thm)], [caseood])).
% 4.74/1.24 thf('1', plain,
% 4.74/1.24 (( case ) =
% 4.74/1.24 ( ^[V_1:( $o > $o ),V_2:$i,V_3:$i,V_4:$i,V_5:$i]:
% 4.74/1.24 ( eps @
% 4.74/1.24 ( ^[V_6:$i]:
% 4.74/1.24 ( ( ( ( V_1 ) = ( ^[V_7:$o]: ( $false ) ) ) &
% 4.74/1.24 ( ( V_6 ) = ( V_2 ) ) ) |
% 4.74/1.24 ( ( ( V_1 ) = ( (~) ) ) & ( ( V_6 ) = ( V_3 ) ) ) |
% 4.74/1.24 ( ( ( V_1 ) = ( ^[V_8:$o]: ( V_8 ) ) ) & ( ( V_6 ) = ( V_4 ) ) ) |
% 4.74/1.24 ( ( ( V_1 ) = ( ^[V_9:$o]: ( $true ) ) ) & ( ( V_6 ) = ( V_5 ) ) ) ) ) ) )),
% 4.74/1.24 define([status(thm)])).
% 4.74/1.24 thf(conj, conjecture, (![X:$i]: ( ( case @ f @ X @ X @ X @ X ) = ( X ) ))).
% 4.74/1.24 thf(zf_stmt_0, conjecture,
% 4.74/1.24 (![X4:$i]:
% 4.74/1.24 ( ( eps @
% 4.74/1.24 ( ^[V_1:$i]:
% 4.74/1.24 ( ( ( ( V_1 ) = ( X4 ) ) &
% 4.74/1.24 ( ![V_4:$o]: ( ( f @ V_4 ) <=> ( $true ) ) ) ) |
% 4.74/1.24 ( ( ( V_1 ) = ( X4 ) ) &
% 4.74/1.24 ( ![V_3:$o]: ( ( f @ V_3 ) <=> ( V_3 ) ) ) ) |
% 4.74/1.24 ( ( ( V_1 ) = ( X4 ) ) & ( ( f ) = ( (~) ) ) ) |
% 4.74/1.24 ( ( ( V_1 ) = ( X4 ) ) &
% 4.74/1.24 ( ![V_2:$o]: ( ( f @ V_2 ) <=> ( $false ) ) ) ) ) ) ) =
% 4.74/1.24 ( X4 ) ))).
% 4.74/1.24 thf(zf_stmt_1, negated_conjecture,
% 4.74/1.24 (~( ![X4:$i]:
% 4.74/1.24 ( ( eps @
% 4.74/1.24 ( ^[V_1:$i]:
% 4.74/1.24 ( ( ( ( V_1 ) = ( X4 ) ) &
% 4.74/1.24 ( ![V_4:$o]: ( ( f @ V_4 ) <=> ( $true ) ) ) ) |
% 4.74/1.24 ( ( ( V_1 ) = ( X4 ) ) &
% 4.74/1.24 ( ![V_3:$o]: ( ( f @ V_3 ) <=> ( V_3 ) ) ) ) |
% 4.74/1.24 ( ( ( V_1 ) = ( X4 ) ) & ( ( f ) = ( (~) ) ) ) |
% 4.74/1.24 ( ( ( V_1 ) = ( X4 ) ) &
% 4.74/1.24 ( ![V_2:$o]: ( ( f @ V_2 ) <=> ( $false ) ) ) ) ) ) ) =
% 4.74/1.24 ( X4 ) ) )),
% 4.74/1.24 inference('cnf.neg', [status(esa)], [zf_stmt_0])).
% 4.74/1.24 thf(zip_derived_cl1, plain,
% 4.74/1.24 (((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> ($true)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> ($false))))))))))))
% 4.74/1.24 != (sk_))),
% 4.74/1.24 inference('cnf', [status(esa)], [zf_stmt_1])).
% 4.74/1.24 thf(zip_derived_cl2, plain,
% 4.74/1.24 (((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (f @ Y1)))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1))))))))))))
% 4.74/1.24 != (sk_))),
% 4.74/1.24 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl1])).
% 4.74/1.24 thf(zip_derived_cl4, plain,
% 4.74/1.24 (![X2 : $i]:
% 4.74/1.24 (~ (((((((X2) = (sk_))) & (((!!) @ (^[Y0 : $o]: (f @ Y0)))))) |
% 4.74/1.24 (((((X2) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y0 : $o]: (((f @ Y0) <=> (Y0)))))))) |
% 4.74/1.24 (((((X2) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((X2) = (sk_))) & (((!!) @ (^[Y0 : $o]: (((~) @ (f @ Y0))))))))))
% 4.74/1.24 | (((((((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (f @ Y1)))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1)))))))))))) =
% 4.74/1.24 (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y0 : $o]: (f @ Y0)))))) |
% 4.74/1.24 (((((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (f @ Y1)))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1)))))))))))) =
% 4.74/1.24 (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y0 : $o]: (((f @ Y0) <=> (Y0)))))))) |
% 4.74/1.24 (((((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (f @ Y1)))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1)))))))))))) =
% 4.74/1.24 (sk_))) &
% 4.74/1.24 (((f) = (~))))) |
% 4.74/1.24 (((((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (f @ Y1)))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1)))))))))))) =
% 4.74/1.24 (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y0 : $o]: (((~) @ (f @ Y0)))))))))))),
% 4.74/1.24 inference('inst_choice(((^[Y0 : $i]:
% 4.74/1.24 (((((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (f @ Y1)))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1)))))))))))))',
% 4.74/1.24 [status(thm)], [zip_derived_cl0, zip_derived_cl2])).
% 4.74/1.24 thf(zip_derived_cl35, plain,
% 4.74/1.24 (![X0 : $i]:
% 4.74/1.24 ( (zip_tseitin_5 @ X0) | ((X0) != (sk_)) | ~ (zip_tseitin_1 @ sk__2))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 4.74/1.24 thf(zip_derived_cl42, plain,
% 4.74/1.24 ((~ (zip_tseitin_1 @ sk__2) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('simplify', [status(thm)], [zip_derived_cl35])).
% 4.74/1.24 thf(zip_derived_cl44, plain,
% 4.74/1.24 ((~ (sk__2) | ~ (zip_tseitin_1 @ ($true)) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('bool_hoist', [status(thm)], [zip_derived_cl42])).
% 4.74/1.24 thf(zip_derived_cl37, plain,
% 4.74/1.24 (![X0 : $i]: ( (zip_tseitin_5 @ X0) | ((X0) != (sk_)) | (f @ sk__3))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 4.74/1.24 thf(zip_derived_cl46, plain, (( (f @ sk__3) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('simplify', [status(thm)], [zip_derived_cl37])).
% 4.74/1.24 thf(zip_derived_cl47, plain,
% 4.74/1.24 (( (sk__3) | (f @ ($false)) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('bool_hoist', [status(thm)], [zip_derived_cl46])).
% 4.74/1.24 thf(zip_derived_cl48, plain,
% 4.74/1.24 ((~ (sk__3) | (f @ ($true)) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('bool_hoist', [status(thm)], [zip_derived_cl46])).
% 4.74/1.24 thf(zip_derived_cl550, plain,
% 4.74/1.24 (( (zip_tseitin_5 @ sk_)
% 4.74/1.24 | (f @ ($false))
% 4.74/1.24 | (zip_tseitin_5 @ sk_)
% 4.74/1.24 | (f @ ($true)))),
% 4.74/1.24 inference('sup-', [status(thm)], [zip_derived_cl47, zip_derived_cl48])).
% 4.74/1.24 thf(zip_derived_cl551, plain,
% 4.74/1.24 (( (f @ ($true)) | (f @ ($false)) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('simplify', [status(thm)], [zip_derived_cl550])).
% 4.74/1.24 thf(zip_derived_cl38, plain,
% 4.74/1.24 (![X0 : $i]:
% 4.74/1.24 ( (zip_tseitin_4)
% 4.74/1.24 | (zip_tseitin_3)
% 4.74/1.24 | (zip_tseitin_2)
% 4.74/1.24 | (zip_tseitin_0)
% 4.74/1.24 | ~ (zip_tseitin_5 @ X0))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 4.74/1.24 thf(zip_derived_cl30, plain,
% 4.74/1.24 ((((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1)))))) & (((Y0) = (sk_))))) |
% 4.74/1.24 (((((f) = (~))) & (((Y0) = (sk_))))) |
% 4.74/1.24 (((((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))) &
% 4.74/1.24 (((Y0) = (sk_))))) |
% 4.74/1.24 (((((!!) @ (^[Y1 : $o]: (f @ Y1)))) & (((Y0) = (sk_)))))))))
% 4.74/1.24 = (sk_))
% 4.74/1.24 | ~ (zip_tseitin_4))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 4.74/1.24 thf(zip_derived_cl2, plain,
% 4.74/1.24 (((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (f @ Y1)))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1))))))))))))
% 4.74/1.24 != (sk_))),
% 4.74/1.24 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl1])).
% 4.74/1.24 thf(zip_derived_cl677, plain, ((((sk_) != (sk_)) | ~ (zip_tseitin_4))),
% 4.74/1.24 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl2])).
% 4.74/1.24 thf(zip_derived_cl680, plain, (~ (zip_tseitin_4)),
% 4.74/1.24 inference('simplify', [status(thm)], [zip_derived_cl677])).
% 4.74/1.24 thf(zip_derived_cl28, plain,
% 4.74/1.24 ((((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1)))))) & (((Y0) = (sk_))))) |
% 4.74/1.24 (((((f) = (~))) & (((Y0) = (sk_))))) |
% 4.74/1.24 (((((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))) &
% 4.74/1.24 (((Y0) = (sk_))))) |
% 4.74/1.24 (((((!!) @ (^[Y1 : $o]: (f @ Y1)))) & (((Y0) = (sk_)))))))))
% 4.74/1.24 = (sk_))
% 4.74/1.24 | ~ (zip_tseitin_3))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 4.74/1.24 thf(zip_derived_cl2, plain,
% 4.74/1.24 (((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (f @ Y1)))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1))))))))))))
% 4.74/1.24 != (sk_))),
% 4.74/1.24 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl1])).
% 4.74/1.24 thf(zip_derived_cl590, plain, ((((sk_) != (sk_)) | ~ (zip_tseitin_3))),
% 4.74/1.24 inference('sup-', [status(thm)], [zip_derived_cl28, zip_derived_cl2])).
% 4.74/1.24 thf(zip_derived_cl593, plain, (~ (zip_tseitin_3)),
% 4.74/1.24 inference('simplify', [status(thm)], [zip_derived_cl590])).
% 4.74/1.24 thf(zip_derived_cl26, plain,
% 4.74/1.24 ((((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1)))))) & (((Y0) = (sk_))))) |
% 4.74/1.24 (((((f) = (~))) & (((Y0) = (sk_))))) |
% 4.74/1.24 (((((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))) &
% 4.74/1.24 (((Y0) = (sk_))))) |
% 4.74/1.24 (((((!!) @ (^[Y1 : $o]: (f @ Y1)))) & (((Y0) = (sk_)))))))))
% 4.74/1.24 = (sk_))
% 4.74/1.24 | ~ (zip_tseitin_2))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 4.74/1.24 thf(zip_derived_cl2, plain,
% 4.74/1.24 (((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (f @ Y1)))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1))))))))))))
% 4.74/1.24 != (sk_))),
% 4.74/1.24 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl1])).
% 4.74/1.24 thf(zip_derived_cl521, plain, ((((sk_) != (sk_)) | ~ (zip_tseitin_2))),
% 4.74/1.24 inference('sup-', [status(thm)], [zip_derived_cl26, zip_derived_cl2])).
% 4.74/1.24 thf(zip_derived_cl524, plain, (~ (zip_tseitin_2)),
% 4.74/1.24 inference('simplify', [status(thm)], [zip_derived_cl521])).
% 4.74/1.24 thf(zip_derived_cl22, plain,
% 4.74/1.24 ((((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1)))))) & (((Y0) = (sk_))))) |
% 4.74/1.24 (((((f) = (~))) & (((Y0) = (sk_))))) |
% 4.74/1.24 (((((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))) &
% 4.74/1.24 (((Y0) = (sk_))))) |
% 4.74/1.24 (((((!!) @ (^[Y1 : $o]: (f @ Y1)))) & (((Y0) = (sk_)))))))))
% 4.74/1.24 = (sk_))
% 4.74/1.24 | ~ (zip_tseitin_0))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 4.74/1.24 thf(zip_derived_cl2, plain,
% 4.74/1.24 (((eps @
% 4.74/1.24 (^[Y0 : $i]:
% 4.74/1.24 (((((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (f @ Y1)))))) |
% 4.74/1.24 (((((Y0) = (sk_))) &
% 4.74/1.24 (((!!) @ (^[Y1 : $o]: (((f @ Y1) <=> (Y1)))))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((f) = (~))))) |
% 4.74/1.24 (((((Y0) = (sk_))) & (((!!) @ (^[Y1 : $o]: (((~) @ (f @ Y1))))))))))))
% 4.74/1.24 != (sk_))),
% 4.74/1.24 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl1])).
% 4.74/1.24 thf(zip_derived_cl49, plain, ((((sk_) != (sk_)) | ~ (zip_tseitin_0))),
% 4.74/1.24 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 4.74/1.24 thf(zip_derived_cl52, plain, (~ (zip_tseitin_0)),
% 4.74/1.24 inference('simplify', [status(thm)], [zip_derived_cl49])).
% 4.74/1.24 thf(zip_derived_cl783, plain, (![X0 : $i]: ~ (zip_tseitin_5 @ X0)),
% 4.74/1.24 inference('demod', [status(thm)],
% 4.74/1.24 [zip_derived_cl38, zip_derived_cl680, zip_derived_cl593,
% 4.74/1.24 zip_derived_cl524, zip_derived_cl52])).
% 4.74/1.24 thf(zip_derived_cl790, plain, (( (f @ ($true)) | (f @ ($false)))),
% 4.74/1.24 inference('demod', [status(thm)], [zip_derived_cl551, zip_derived_cl783])).
% 4.74/1.24 thf(zip_derived_cl36, plain,
% 4.74/1.24 (![X0 : $i]: ( (zip_tseitin_5 @ X0) | ((X0) != (sk_)) | ((f) != (~)))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 4.74/1.24 thf(zip_derived_cl45, plain, ((((f) != (~)) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('simplify', [status(thm)], [zip_derived_cl36])).
% 4.74/1.24 thf(zip_derived_cl783, plain, (![X0 : $i]: ~ (zip_tseitin_5 @ X0)),
% 4.74/1.24 inference('demod', [status(thm)],
% 4.74/1.24 [zip_derived_cl38, zip_derived_cl680, zip_derived_cl593,
% 4.74/1.24 zip_derived_cl524, zip_derived_cl52])).
% 4.74/1.24 thf(zip_derived_cl786, plain, (((f) != (~))),
% 4.74/1.24 inference('demod', [status(thm)], [zip_derived_cl45, zip_derived_cl783])).
% 4.74/1.24 thf(zip_derived_cl807, plain, (((f @ '#sk2') != (((~) @ '#sk2')))),
% 4.74/1.24 inference('neg_ext', [status(thm)], [zip_derived_cl786])).
% 4.74/1.24 thf(zip_derived_cl808, plain, (((f @ '#sk2') = ('#sk2'))),
% 4.74/1.24 inference('simplify nested equalities', [status(thm)],
% 4.74/1.24 [zip_derived_cl807])).
% 4.74/1.24 thf(zip_derived_cl818, plain, (( ('#sk2') | ~ (f @ '#sk2'))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl808])).
% 4.74/1.24 thf(zip_derived_cl820, plain, (( ('#sk2') | ~ (f @ ($false)))),
% 4.74/1.24 inference('local_rewriting', [status(thm)], [zip_derived_cl818])).
% 4.74/1.24 thf(zip_derived_cl880, plain, (( (f @ ($true)) | ('#sk2'))),
% 4.74/1.24 inference('sup-', [status(thm)], [zip_derived_cl790, zip_derived_cl820])).
% 4.74/1.24 thf(zip_derived_cl45, plain, ((((f) != (~)) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('simplify', [status(thm)], [zip_derived_cl36])).
% 4.74/1.24 thf(zip_derived_cl74, plain,
% 4.74/1.24 ((((f @ '#sk2') != (((~) @ '#sk2'))) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('neg_ext', [status(thm)], [zip_derived_cl45])).
% 4.74/1.24 thf(zip_derived_cl75, plain,
% 4.74/1.24 ((((f @ '#sk2') = ('#sk2')) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('simplify nested equalities', [status(thm)], [zip_derived_cl74])).
% 4.74/1.24 thf(zip_derived_cl255, plain,
% 4.74/1.24 (( (zip_tseitin_5 @ sk_) | (f @ '#sk2') | ~ ('#sk2'))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl75])).
% 4.74/1.24 thf(zip_derived_cl257, plain,
% 4.74/1.24 (( (zip_tseitin_5 @ sk_) | (f @ ($true)) | ~ ('#sk2'))),
% 4.74/1.24 inference('local_rewriting', [status(thm)], [zip_derived_cl255])).
% 4.74/1.24 thf(zip_derived_cl783, plain, (![X0 : $i]: ~ (zip_tseitin_5 @ X0)),
% 4.74/1.24 inference('demod', [status(thm)],
% 4.74/1.24 [zip_derived_cl38, zip_derived_cl680, zip_derived_cl593,
% 4.74/1.24 zip_derived_cl524, zip_derived_cl52])).
% 4.74/1.24 thf(zip_derived_cl789, plain, (( (f @ ($true)) | ~ ('#sk2'))),
% 4.74/1.24 inference('demod', [status(thm)], [zip_derived_cl257, zip_derived_cl783])).
% 4.74/1.24 thf(zip_derived_cl905, plain, ( (f @ ($true))),
% 4.74/1.24 inference('clc', [status(thm)], [zip_derived_cl880, zip_derived_cl789])).
% 4.74/1.24 thf(zip_derived_cl32, plain,
% 4.74/1.24 (![X0 : $o]: ( (zip_tseitin_1 @ X0) | ~ (X0) | ~ (f @ X0))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 4.74/1.24 thf(zip_derived_cl911, plain, ( (zip_tseitin_1 @ ($true))),
% 4.74/1.24 inference('sup-', [status(thm)], [zip_derived_cl905, zip_derived_cl32])).
% 4.74/1.24 thf(zip_derived_cl783, plain, (![X0 : $i]: ~ (zip_tseitin_5 @ X0)),
% 4.74/1.24 inference('demod', [status(thm)],
% 4.74/1.24 [zip_derived_cl38, zip_derived_cl680, zip_derived_cl593,
% 4.74/1.24 zip_derived_cl524, zip_derived_cl52])).
% 4.74/1.24 thf(zip_derived_cl937, plain, (~ (sk__2)),
% 4.74/1.24 inference('demod', [status(thm)],
% 4.74/1.24 [zip_derived_cl44, zip_derived_cl911, zip_derived_cl783])).
% 4.74/1.24 thf(zip_derived_cl43, plain,
% 4.74/1.24 (( (sk__2) | ~ (zip_tseitin_1 @ ($false)) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('bool_hoist', [status(thm)], [zip_derived_cl42])).
% 4.74/1.24 thf(zip_derived_cl783, plain, (![X0 : $i]: ~ (zip_tseitin_5 @ X0)),
% 4.74/1.24 inference('demod', [status(thm)],
% 4.74/1.24 [zip_derived_cl38, zip_derived_cl680, zip_derived_cl593,
% 4.74/1.24 zip_derived_cl524, zip_derived_cl52])).
% 4.74/1.24 thf(zip_derived_cl785, plain, (( (sk__2) | ~ (zip_tseitin_1 @ ($false)))),
% 4.74/1.24 inference('demod', [status(thm)], [zip_derived_cl43, zip_derived_cl783])).
% 4.74/1.24 thf(zip_derived_cl938, plain, (~ (zip_tseitin_1 @ ($false))),
% 4.74/1.24 inference('sup+', [status(thm)], [zip_derived_cl937, zip_derived_cl785])).
% 4.74/1.24 thf(zip_derived_cl33, plain,
% 4.74/1.24 (![X0 : $o]: ( (zip_tseitin_1 @ X0) | (X0) | (f @ X0))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 4.74/1.24 thf(zip_derived_cl34, plain,
% 4.74/1.24 (![X0 : $i]: ( (zip_tseitin_5 @ X0) | ((X0) != (sk_)) | ~ (f @ sk__1))),
% 4.74/1.24 inference('cnf_otf', [status(thm)], [zip_derived_cl4])).
% 4.74/1.24 thf(zip_derived_cl39, plain, ((~ (f @ sk__1) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('simplify', [status(thm)], [zip_derived_cl34])).
% 4.74/1.24 thf(zip_derived_cl41, plain,
% 4.74/1.24 ((~ (sk__1) | ~ (f @ ($true)) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('bool_hoist', [status(thm)], [zip_derived_cl39])).
% 4.74/1.24 thf(zip_derived_cl783, plain, (![X0 : $i]: ~ (zip_tseitin_5 @ X0)),
% 4.74/1.24 inference('demod', [status(thm)],
% 4.74/1.24 [zip_derived_cl38, zip_derived_cl680, zip_derived_cl593,
% 4.74/1.24 zip_derived_cl524, zip_derived_cl52])).
% 4.74/1.24 thf(zip_derived_cl784, plain, ((~ (sk__1) | ~ (f @ ($true)))),
% 4.74/1.24 inference('demod', [status(thm)], [zip_derived_cl41, zip_derived_cl783])).
% 4.74/1.24 thf(zip_derived_cl905, plain, ( (f @ ($true))),
% 4.74/1.24 inference('clc', [status(thm)], [zip_derived_cl880, zip_derived_cl789])).
% 4.74/1.24 thf(zip_derived_cl907, plain, (~ (sk__1)),
% 4.74/1.24 inference('demod', [status(thm)], [zip_derived_cl784, zip_derived_cl905])).
% 4.74/1.24 thf(zip_derived_cl40, plain,
% 4.74/1.24 (( (sk__1) | ~ (f @ ($false)) | (zip_tseitin_5 @ sk_))),
% 4.74/1.24 inference('bool_hoist', [status(thm)], [zip_derived_cl39])).
% 4.74/1.24 thf(zip_derived_cl783, plain, (![X0 : $i]: ~ (zip_tseitin_5 @ X0)),
% 4.74/1.24 inference('demod', [status(thm)],
% 4.74/1.24 [zip_derived_cl38, zip_derived_cl680, zip_derived_cl593,
% 4.74/1.24 zip_derived_cl524, zip_derived_cl52])).
% 4.74/1.24 thf(zip_derived_cl864, plain, (( (sk__1) | ~ (f @ ($false)))),
% 4.74/1.24 inference('demod', [status(thm)], [zip_derived_cl40, zip_derived_cl783])).
% 4.74/1.24 thf(zip_derived_cl926, plain, (~ (f @ ($false))),
% 4.74/1.24 inference('sup+', [status(thm)], [zip_derived_cl907, zip_derived_cl864])).
% 4.74/1.24 thf(zip_derived_cl931, plain, ( (zip_tseitin_1 @ ($false))),
% 4.74/1.24 inference('sup-', [status(thm)], [zip_derived_cl33, zip_derived_cl926])).
% 4.74/1.24 thf(zip_derived_cl953, plain, ($false),
% 4.74/1.24 inference('demod', [status(thm)], [zip_derived_cl938, zip_derived_cl931])).
% 4.74/1.24
% 4.74/1.24 % SZS output end Refutation
% 4.74/1.24
% 4.74/1.24
% 4.74/1.24 % Terminating...
% 4.74/1.32 % Runner terminated.
% 4.74/1.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------