%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SWX153_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rv8FpaCr7o true
% Computer : n008.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 : Tue May 5 07:08:45 PM UTC 2026
% Result : Theorem 55.19s 10.94s
% Output : Refutation 55.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX153_1 : TPTP v9.3.0. Released v9.3.0.
% 0.11/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.rv8FpaCr7o true
% 0.15/0.34 % Computer : n008.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue May 5 09:25:13 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 % Running portfolio for 300 s
% 0.15/0.34 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.34 % Number of cores: 8
% 0.15/0.34 % Python version: Python 3.6.8
% 0.15/0.34 % Running in HO mode
% 0.51/0.61 % Total configuration time : 828
% 0.51/0.61 % Estimated wc time : 1656
% 0.51/0.61 % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.68 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.68 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.73 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.74 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.75 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 55.19/10.94 % Solved by lams/40_c_ic.sh.
% 55.19/10.94 % done 224 iterations in 10.088s
% 55.19/10.94 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 55.19/10.94 % SZS output start Refutation
% 55.19/10.94 thf(d_unsorted_type, type, d_unsorted: $tType).
% 55.19/10.94 thf(iimplies_type, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 55.19/10.94 thf(d_unsorted_0_type, type, d_unsorted_0: d_unsorted).
% 55.19/10.94 thf(sk__12_type, type, sk__12: $i > ($i > $o) > ($i > $o) > $i).
% 55.19/10.94 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 55.19/10.94 thf(sk__26_type, type, sk__26: $i > $o).
% 55.19/10.94 thf(sk__22_type, type, sk__22: $i > ($i > $o) > $i).
% 55.19/10.94 thf(sk__28_type, type, sk__28: $i).
% 55.19/10.94 thf(iand_type, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 55.19/10.94 thf(inot_type, type, inot: ($i > $o) > $i > $o).
% 55.19/10.94 thf(sk__14_type, type, sk__14: $i > ($i > $o) > ($i > $o) > $i).
% 55.19/10.94 thf(sk__21_type, type, sk__21: $i > ($i > $o) > $i).
% 55.19/10.94 thf(ixor_type, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 55.19/10.94 thf(iequiv_type, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 55.19/10.94 thf(isatisfiable_type, type, isatisfiable: ($i > $o) > $o).
% 55.19/10.94 thf(sk__1_type, type, sk__1: ($i > $o) > $i > $i).
% 55.19/10.94 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 55.19/10.94 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o).
% 55.19/10.94 thf(itrue_type, type, itrue: $i > $o).
% 55.19/10.94 thf(icountersatisfiable_type, type, icountersatisfiable: ($i > $o) > $o).
% 55.19/10.94 thf(iatom_type, type, iatom: ($i > $o) > $i > $o).
% 55.19/10.94 thf(sk__type, type, sk_: ($i > $o) > $i > $i).
% 55.19/10.94 thf(sk__4_type, type, sk__4: ($i > $o) > $i).
% 55.19/10.94 thf(sk__25_type, type, sk__25: $i > d_unsorted).
% 55.19/10.94 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 55.19/10.94 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 55.19/10.94 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > ($i > $o) >
% 55.19/10.94 ($i > $o) > $o).
% 55.19/10.94 thf(d2unsorted_type, type, d2unsorted: d_unsorted > $i).
% 55.19/10.94 thf(ifalse_type, type, ifalse: $i > $o).
% 55.19/10.94 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > $i > $i > ($i > $o) >
% 55.19/10.94 ($i > $o) > $o).
% 55.19/10.94 thf(sk__11_type, type, sk__11: $i > ($i > $o) > ($i > $o) > $i).
% 55.19/10.94 thf(irel_type, type, irel: $i > $i > $o).
% 55.19/10.94 thf(sk__27_type, type, sk__27: $i > $o).
% 55.19/10.94 thf(sk__17_type, type, sk__17: $i > ($i > $o) > $i).
% 55.19/10.94 thf(sk__3_type, type, sk__3: ($i > $o) > $i).
% 55.19/10.94 thf(iinvalid_type, type, iinvalid: ($i > $o) > $o).
% 55.19/10.94 thf(sk__13_type, type, sk__13: $i > ($i > $o) > ($i > $o) > $i).
% 55.19/10.94 thf(ivalid_type, type, ivalid: ($i > $o) > $o).
% 55.19/10.94 thf(ior_type, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 55.19/10.94 thf(iimplied_type, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 55.19/10.94 thf(sk__18_type, type, sk__18: $i > ($i > $o) > $i).
% 55.19/10.94 thf(lcl696_1, axiom,
% 55.19/10.94 (( ![U:$i]: ( ?[DU:d_unsorted]: ( ( U ) = ( d2unsorted @ DU ) ) ) ) &
% 55.19/10.94 ( ![DU:d_unsorted]: ( ( DU ) = ( d_unsorted_0 ) ) ) &
% 55.19/10.94 ( ![DU1:d_unsorted,DU2:d_unsorted]:
% 55.19/10.94 ( ( ( d2unsorted @ DU1 ) = ( d2unsorted @ DU2 ) ) =>
% 55.19/10.94 ( ( DU1 ) = ( DU2 ) ) ) ) &
% 55.19/10.94 ( ![X:( $i > $o ),U:$i]: ( ( mnot @ X @ U ) <=> ( ~( X @ U ) ) ) ) &
% 55.19/10.94 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
% 55.19/10.94 ( ( mor @ X @ Y @ U ) <=> ( ( Y @ U ) | ( X @ U ) ) ) ) &
% 55.19/10.94 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
% 55.19/10.94 ( ( mand @ X @ Y @ U ) <=> ( ( Y @ U ) & ( X @ U ) ) ) ) &
% 55.19/10.94 ( ![U:( $i > $o ),V:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( mimplies @ U @ V @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( V @ Flatten_var_0 ) | ( ~( U @ Flatten_var_0 ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),X:$i]:
% 55.19/10.94 ( ( mbox_s4 @ P @ X ) <=>
% 55.19/10.94 ( ![Y:$i]: ( ( ~( irel @ X @ Y ) ) | ( P @ Y ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( iatom @ P @ Flatten_var_0 ) <=> ( P @ Flatten_var_0 ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( inot @ P @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( iand @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) &
% 55.19/10.94 ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( ior @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) |
% 55.19/10.94 ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( iimplies @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) |
% 55.19/10.94 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( iimplied @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) |
% 55.19/10.94 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( iequiv @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( ![Y:$i,Bound_variable_771:$i]:
% 55.19/10.94 ( ( ~( irel @ Flatten_var_0 @ Y ) ) |
% 55.19/10.94 ( ~( ![Bound_variable_746:$i]:
% 55.19/10.94 ( ( ~( irel @ Y @ Bound_variable_746 ) ) |
% 55.19/10.94 ( Q @ Bound_variable_746 ) ) ) ) |
% 55.19/10.94 ( ~( irel @ Y @ Bound_variable_771 ) ) |
% 55.19/10.94 ( P @ Bound_variable_771 ) ) ) &
% 55.19/10.94 ( ![Y:$i,Bound_variable_718:$i]:
% 55.19/10.94 ( ( ~( irel @ Flatten_var_0 @ Y ) ) |
% 55.19/10.94 ( ~( ![Bound_variable_693:$i]:
% 55.19/10.94 ( ( ~( irel @ Y @ Bound_variable_693 ) ) |
% 55.19/10.94 ( P @ Bound_variable_693 ) ) ) ) |
% 55.19/10.94 ( ~( irel @ Y @ Bound_variable_718 ) ) |
% 55.19/10.94 ( Q @ Bound_variable_718 ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( ixor @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ~( ![Y:$i,Bound_variable_849:$i,Bound_variable_851:$i,
% 55.19/10.94 Bound_variable_864:$i,Bound_variable_866:$i]:
% 55.19/10.94 ( ( ~( irel @ Flatten_var_0 @ Y ) ) |
% 55.19/10.94 ( ( ( ~( irel @ Y @ Bound_variable_849 ) ) |
% 55.19/10.94 ( ~( ![Bound_variable_693:$i]:
% 55.19/10.94 ( ( ~( irel @ Bound_variable_849 @ Bound_variable_693 ) ) |
% 55.19/10.94 ( P @ Bound_variable_693 ) ) ) ) |
% 55.19/10.94 ( ~( irel @ Bound_variable_849 @ Bound_variable_851 ) ) |
% 55.19/10.94 ( Q @ Bound_variable_851 ) ) &
% 55.19/10.94 ( ( ~( irel @ Y @ Bound_variable_864 ) ) |
% 55.19/10.94 ( ~( ![Bound_variable_746:$i]:
% 55.19/10.94 ( ( ~( irel @ Bound_variable_864 @ Bound_variable_746 ) ) |
% 55.19/10.94 ( Q @ Bound_variable_746 ) ) ) ) |
% 55.19/10.94 ( ~( irel @ Bound_variable_864 @ Bound_variable_866 ) ) |
% 55.19/10.94 ( P @ Bound_variable_866 ) ) ) ) ) ) ) ) &
% 55.19/10.94 ( ![Phi:( $i > $o )]: ( ( ivalid @ Phi ) <=> ( ![W:$i]: ( Phi @ W ) ) ) ) &
% 55.19/10.94 ( ![Phi:( $i > $o )]:
% 55.19/10.94 ( ( isatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) ) &
% 55.19/10.94 ( ![Phi:( $i > $o )]:
% 55.19/10.94 ( ( icountersatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( Phi @ W ) ) ) ) ) &
% 55.19/10.94 ( ![Phi:( $i > $o )]:
% 55.19/10.94 ( ( iinvalid @ Phi ) <=> ( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) &
% 55.19/10.94 ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) ) &
% 55.19/10.94 ( itrue @ ( d2unsorted @ d_unsorted_0 ) ) &
% 55.19/10.94 ( ~( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ))).
% 55.19/10.94 thf(zf_stmt_0, axiom,
% 55.19/10.94 (![Bound_variable_718:$i,Y:$i,Flatten_var_0:$i,Q:( $i > $o ),P:( $i > $o )]:
% 55.19/10.94 ( ( zip_tseitin_1 @ Bound_variable_718 @ Y @ Flatten_var_0 @ Q @ P ) <=>
% 55.19/10.94 ( ( Q @ Bound_variable_718 ) | ( ~( irel @ Y @ Bound_variable_718 ) ) |
% 55.19/10.94 ( ~( ![Bound_variable_693:$i]:
% 55.19/10.94 ( ( P @ Bound_variable_693 ) |
% 55.19/10.94 ( ~( irel @ Y @ Bound_variable_693 ) ) ) ) ) |
% 55.19/10.94 ( ~( irel @ Flatten_var_0 @ Y ) ) ) ))).
% 55.19/10.94 thf(zip_derived_cl10, plain,
% 55.19/10.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o, X5 : $i]:
% 55.19/10.94 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4)
% 55.19/10.94 | (X4 @ X5)
% 55.19/10.94 | ~ (irel @ X1 @ X5))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 55.19/10.94 thf(zf_stmt_1, axiom,
% 55.19/10.94 (![Bound_variable_771:$i,Y:$i,Flatten_var_0:$i,Q:( $i > $o ),P:( $i > $o )]:
% 55.19/10.94 ( ( zip_tseitin_0 @ Bound_variable_771 @ Y @ Flatten_var_0 @ Q @ P ) <=>
% 55.19/10.94 ( ( P @ Bound_variable_771 ) | ( ~( irel @ Y @ Bound_variable_771 ) ) |
% 55.19/10.94 ( ~( ![Bound_variable_746:$i]:
% 55.19/10.94 ( ( Q @ Bound_variable_746 ) |
% 55.19/10.94 ( ~( irel @ Y @ Bound_variable_746 ) ) ) ) ) |
% 55.19/10.94 ( ~( irel @ Flatten_var_0 @ Y ) ) ) ))).
% 55.19/10.94 thf(zip_derived_cl4, plain,
% 55.19/10.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o, X5 : $i]:
% 55.19/10.94 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4)
% 55.19/10.94 | (X3 @ X5)
% 55.19/10.94 | ~ (irel @ X1 @ X5))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 55.19/10.94 thf(zf_stmt_2, type, zip_tseitin_1 :
% 55.19/10.94 $i > $i > $i > ( $i > $o ) > ( $i > $o ) > $o).
% 55.19/10.94 thf(zf_stmt_3, type, zip_tseitin_0 :
% 55.19/10.94 $i > $i > $i > ( $i > $o ) > ( $i > $o ) > $o).
% 55.19/10.94 thf(zf_stmt_4, axiom,
% 55.19/10.94 (( ~( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ) &
% 55.19/10.94 ( itrue @ ( d2unsorted @ d_unsorted_0 ) ) &
% 55.19/10.94 ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) ) &
% 55.19/10.94 ( ![Phi:( $i > $o )]:
% 55.19/10.94 ( ( iinvalid @ Phi ) <=> ( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) &
% 55.19/10.94 ( ![Phi:( $i > $o )]:
% 55.19/10.94 ( ( icountersatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( Phi @ W ) ) ) ) ) &
% 55.19/10.94 ( ![Phi:( $i > $o )]:
% 55.19/10.94 ( ( isatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) ) &
% 55.19/10.94 ( ![Phi:( $i > $o )]: ( ( ivalid @ Phi ) <=> ( ![W:$i]: ( Phi @ W ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( ixor @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ~( ![Y:$i,Bound_variable_849:$i,Bound_variable_851:$i,
% 55.19/10.94 Bound_variable_864:$i,Bound_variable_866:$i]:
% 55.19/10.94 ( ( ( zip_tseitin_1 @
% 55.19/10.94 Bound_variable_866 @ Bound_variable_864 @ Y @ P @ Q ) &
% 55.19/10.94 ( zip_tseitin_1 @
% 55.19/10.94 Bound_variable_851 @ Bound_variable_849 @ Y @ Q @ P ) ) |
% 55.19/10.94 ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( iequiv @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( ![Y:$i,Bound_variable_718:$i]:
% 55.19/10.94 ( zip_tseitin_1 @ Bound_variable_718 @ Y @ Flatten_var_0 @ Q @ P ) ) &
% 55.19/10.94 ( ![Y:$i,Bound_variable_771:$i]:
% 55.19/10.94 ( zip_tseitin_0 @ Bound_variable_771 @ Y @ Flatten_var_0 @ Q @ P ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( iimplied @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( ~( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) |
% 55.19/10.94 ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( iimplies @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) |
% 55.19/10.94 ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( ior @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) |
% 55.19/10.94 ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( iand @ P @ Q @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) &
% 55.19/10.94 ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( inot @ P @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( iatom @ P @ Flatten_var_0 ) <=> ( P @ Flatten_var_0 ) ) ) &
% 55.19/10.94 ( ![P:( $i > $o ),X:$i]:
% 55.19/10.94 ( ( mbox_s4 @ P @ X ) <=>
% 55.19/10.94 ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ X @ Y ) ) ) ) ) ) &
% 55.19/10.94 ( ![U:( $i > $o ),V:( $i > $o ),Flatten_var_0:$i]:
% 55.19/10.94 ( ( mimplies @ U @ V @ Flatten_var_0 ) <=>
% 55.19/10.94 ( ( ~( U @ Flatten_var_0 ) ) | ( V @ Flatten_var_0 ) ) ) ) &
% 55.19/10.94 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
% 55.19/10.94 ( ( mand @ X @ Y @ U ) <=> ( ( X @ U ) & ( Y @ U ) ) ) ) &
% 55.19/10.94 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
% 55.19/10.94 ( ( mor @ X @ Y @ U ) <=> ( ( X @ U ) | ( Y @ U ) ) ) ) &
% 55.19/10.94 ( ![X:( $i > $o ),U:$i]: ( ( mnot @ X @ U ) <=> ( ~( X @ U ) ) ) ) &
% 55.19/10.94 ( ![DU1:d_unsorted,DU2:d_unsorted]:
% 55.19/10.94 ( ( ( d2unsorted @ DU1 ) = ( d2unsorted @ DU2 ) ) =>
% 55.19/10.94 ( ( DU1 ) = ( DU2 ) ) ) ) &
% 55.19/10.94 ( ![DU:d_unsorted]: ( ( DU ) = ( d_unsorted_0 ) ) ) &
% 55.19/10.94 ( ![U:$i]: ( ?[DU:d_unsorted]: ( ( U ) = ( d2unsorted @ DU ) ) ) ))).
% 55.19/10.94 thf(zip_derived_cl65, plain,
% 55.19/10.94 (![X0 : $i > $o]: ( (X0 @ (sk__4 @ X0)) | ~ (isatisfiable @ X0))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl64, plain,
% 55.19/10.94 (![X0 : $i > $o, X1 : $i]: ( (isatisfiable @ X0) | ~ (X0 @ X1))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl45, plain,
% 55.19/10.94 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i]:
% 55.19/10.94 ( (iimplies @ X0 @ X1 @ X2) | (X0 @ X3) | ~ (irel @ X2 @ X3))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl47, plain,
% 55.19/10.94 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]:
% 55.19/10.94 ( (iimplies @ X0 @ X1 @ X2) | ~ (X1 @ (sk__17 @ X2 @ X1)))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl15, plain,
% 55.19/10.94 (![X0 : $i > $o, X1 : $i]: ( (mnot @ X0 @ X1) | (X0 @ X1))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl8, plain,
% 55.19/10.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o]:
% 55.19/10.94 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4) | ~ (X3 @ X0))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 55.19/10.94 thf(iequiv, conjecture,
% 55.19/10.94 (![P:( $i > $o ),Q:( $i > $o ),X_2:$i]:
% 55.19/10.94 ( ( iequiv @ P @ Q @ X_2 ) <=>
% 55.19/10.94 ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) @ X_2 ) ))).
% 55.19/10.94 thf(zf_stmt_5, negated_conjecture,
% 55.19/10.94 (~( ![P:( $i > $o ),Q:( $i > $o ),X_2:$i]:
% 55.19/10.94 ( ( iequiv @ P @ Q @ X_2 ) <=>
% 55.19/10.94 ( iand @ ( iimplies @ P @ Q ) @ ( iimplies @ Q @ P ) @ X_2 ) ) )),
% 55.19/10.94 inference('cnf.neg', [status(esa)], [iequiv])).
% 55.19/10.94 thf(zip_derived_cl74, plain,
% 55.19/10.94 ((~ (iand @ (iimplies @ sk__26 @ sk__27) @
% 55.19/10.94 (iimplies @ sk__27 @ sk__26) @ sk__28)
% 55.19/10.94 | ~ (iequiv @ sk__26 @ sk__27 @ sk__28))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_5])).
% 55.19/10.94 thf(zip_derived_cl57, plain,
% 55.19/10.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o]:
% 55.19/10.94 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4) | ~ (iequiv @ X4 @ X3 @ X2))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl2, plain,
% 55.19/10.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o]:
% 55.19/10.94 ( (zip_tseitin_0 @ X0 @ X1 @ X2 @ X3 @ X4) | ~ (X4 @ X0))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 55.19/10.94 thf(zip_derived_cl37, plain,
% 55.19/10.94 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]:
% 55.19/10.94 ( (iand @ X0 @ X1 @ X2)
% 55.19/10.94 | ~ (X1 @ (sk__21 @ X2 @ X1))
% 55.19/10.94 | ~ (X0 @ (sk__22 @ X2 @ X0)))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl39, plain,
% 55.19/10.94 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]:
% 55.19/10.94 (~ (irel @ X0 @ X1) | (X2 @ X1) | ~ (iand @ X3 @ X2 @ X0))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl55, plain,
% 55.19/10.94 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]:
% 55.19/10.94 ( (iequiv @ X0 @ X1 @ X2)
% 55.19/10.94 | ~ (zip_tseitin_0 @ (sk__12 @ X2 @ X1 @ X0) @
% 55.19/10.94 (sk__11 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0)
% 55.19/10.94 | ~ (zip_tseitin_1 @ (sk__14 @ X2 @ X1 @ X0) @
% 55.19/10.94 (sk__13 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl1, plain,
% 55.19/10.94 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i > $o]:
% 55.19/10.94 (~ (irel @ X0 @ X1)
% 55.19/10.94 | ~ (X2 @ (sk_ @ X2 @ X1))
% 55.19/10.94 | ~ (irel @ X1 @ X3)
% 55.19/10.94 | (X4 @ X3)
% 55.19/10.94 | ~ (zip_tseitin_0 @ X3 @ X1 @ X0 @ X2 @ X4))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_1])).
% 55.19/10.94 thf(zip_derived_cl73, plain,
% 55.19/10.94 (( (iand @ (iimplies @ sk__26 @ sk__27) @ (iimplies @ sk__27 @ sk__26) @
% 55.19/10.94 sk__28)
% 55.19/10.94 | (iequiv @ sk__26 @ sk__27 @ sk__28))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_5])).
% 55.19/10.94 thf(zip_derived_cl66, plain,
% 55.19/10.94 (![X0 : $i > $o, X1 : $i]: ( (icountersatisfiable @ X0) | (X0 @ X1))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl67, plain,
% 55.19/10.94 (![X0 : $i > $o]: (~ (X0 @ (sk__3 @ X0)) | ~ (icountersatisfiable @ X0))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl16, plain,
% 55.19/10.94 (![X0 : $i > $o, X1 : $i]: (~ (X0 @ X1) | ~ (mnot @ X0 @ X1))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl56, plain,
% 55.19/10.94 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i > $o, X4 : $i > $o]:
% 55.19/10.94 ( (zip_tseitin_1 @ X0 @ X1 @ X2 @ X3 @ X4) | ~ (iequiv @ X4 @ X3 @ X2))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl38, plain,
% 55.19/10.94 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]:
% 55.19/10.94 (~ (irel @ X0 @ X1) | (X2 @ X1) | ~ (iand @ X2 @ X3 @ X0))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl48, plain,
% 55.19/10.94 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]:
% 55.19/10.94 (~ (irel @ X0 @ X1)
% 55.19/10.94 | (X2 @ X1)
% 55.19/10.94 | ~ (X3 @ (sk__18 @ X0 @ X3))
% 55.19/10.94 | ~ (iimplies @ X3 @ X2 @ X0))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl7, plain,
% 55.19/10.94 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i, X4 : $i > $o]:
% 55.19/10.94 (~ (irel @ X0 @ X1)
% 55.19/10.94 | ~ (X2 @ (sk__1 @ X2 @ X1))
% 55.19/10.94 | ~ (irel @ X1 @ X3)
% 55.19/10.94 | (X4 @ X3)
% 55.19/10.94 | ~ (zip_tseitin_1 @ X3 @ X1 @ X0 @ X4 @ X2))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_0])).
% 55.19/10.94 thf(zip_derived_cl70, plain,
% 55.19/10.94 ( (irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl12, plain,
% 55.19/10.94 (![X0 : $i]: ((X0) = (d2unsorted @ (sk__25 @ X0)))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl13, plain, (![X0 : d_unsorted]: ((X0) = (d_unsorted_0))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl81, plain,
% 55.19/10.94 (![X0 : $i]: ((X0) = (d2unsorted @ d_unsorted_0))),
% 55.19/10.94 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl13])).
% 55.19/10.94 thf(zip_derived_cl81, plain,
% 55.19/10.94 (![X0 : $i]: ((X0) = (d2unsorted @ d_unsorted_0))),
% 55.19/10.94 inference('demod', [status(thm)], [zip_derived_cl12, zip_derived_cl13])).
% 55.19/10.94 thf(zip_derived_cl84, plain, (![X0 : $i, X1 : $i]: ((X1) = (X0))),
% 55.19/10.94 inference('sup+', [status(thm)], [zip_derived_cl81, zip_derived_cl81])).
% 55.19/10.94 thf(zip_derived_cl67, plain,
% 55.19/10.94 (![X0 : $i > $o]: (~ (X0 @ (sk__3 @ X0)) | ~ (icountersatisfiable @ X0))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl66, plain,
% 55.19/10.94 (![X0 : $i > $o, X1 : $i]: ( (icountersatisfiable @ X0) | (X0 @ X1))),
% 55.19/10.94 inference('cnf', [status(esa)], [zf_stmt_4])).
% 55.19/10.94 thf(zip_derived_cl3735, plain,
% 55.19/10.94 (![X0 : $i > $o, X1 : $i]: (~ (X0 @ (sk__3 @ X0)) | (X0 @ X1))),
% 55.19/10.94 inference('sup+', [status(thm)], [zip_derived_cl67, zip_derived_cl66])).
% 55.19/10.94 thf(zip_derived_cl7938, plain, ($false),
% 55.19/10.94 inference('eprover', [status(thm)],
% 55.19/10.94 [zip_derived_cl10, zip_derived_cl4, zip_derived_cl65,
% 55.19/10.94 zip_derived_cl64, zip_derived_cl45, zip_derived_cl47,
% 55.19/10.94 zip_derived_cl15, zip_derived_cl8, zip_derived_cl74,
% 55.19/10.94 zip_derived_cl57, zip_derived_cl2, zip_derived_cl37,
% 55.19/10.94 zip_derived_cl39, zip_derived_cl55, zip_derived_cl1,
% 55.19/10.94 zip_derived_cl73, zip_derived_cl66, zip_derived_cl67,
% 55.19/10.94 zip_derived_cl16, zip_derived_cl56, zip_derived_cl38,
% 55.19/10.94 zip_derived_cl48, zip_derived_cl7, zip_derived_cl70,
% 55.19/10.94 zip_derived_cl84, zip_derived_cl3735])).
% 55.19/10.94
% 55.19/10.94 % SZS output end Refutation
% 55.19/10.94
% 55.19/10.94
% 55.19/10.94 % Terminating...
% 8.22/11.15 % Runner terminated.
% 8.22/11.17 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------