%------------------------------------------------------------------------------
% 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.i6h4HM8GDz 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 : Tue May 5 07:08:45 PM UTC 2026
% Result : Theorem 162.16s 25.61s
% Output : Refutation 162.16s
% 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.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.i6h4HM8GDz true
% 0.16/0.34 % Computer : n015.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue May 5 09:20:31 EDT 2026
% 0.16/0.35 % CPUTime :
% 0.16/0.35 % Running portfolio for 300 s
% 0.16/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.17/0.35 % Running in HO mode
% 0.54/0.66 % Total configuration time : 828
% 0.54/0.66 % Estimated wc time : 1656
% 0.54/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.77 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 162.16/25.61 % Solved by lams/40_c_ic.sh.
% 162.16/25.61 % done 416 iterations in 24.838s
% 162.16/25.61 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 162.16/25.61 % SZS output start Refutation
% 162.16/25.61 thf(d_unsorted_type, type, d_unsorted: $tType).
% 162.16/25.61 thf(iimplies_type, type, iimplies: ($i > $o) > ($i > $o) > $i > $o).
% 162.16/25.61 thf(sk__11_type, type, sk__11: $i > ($i > $o) > ($i > $o) > $i).
% 162.16/25.61 thf(d_unsorted_0_type, type, d_unsorted_0: d_unsorted).
% 162.16/25.61 thf(mand_type, type, mand: ($i > $o) > ($i > $o) > $i > $o).
% 162.16/25.61 thf(sk__24_type, type, sk__24: $i).
% 162.16/25.61 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > ($i > $o) > ($i > $o) > $o).
% 162.16/25.61 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > ($i > $o) > ($i > $o) > $o).
% 162.16/25.61 thf(iand_type, type, iand: ($i > $o) > ($i > $o) > $i > $o).
% 162.16/25.61 thf(inot_type, type, inot: ($i > $o) > $i > $o).
% 162.16/25.61 thf(ixor_type, type, ixor: ($i > $o) > ($i > $o) > $i > $o).
% 162.16/25.61 thf(iequiv_type, type, iequiv: ($i > $o) > ($i > $o) > $i > $o).
% 162.16/25.61 thf(isatisfiable_type, type, isatisfiable: ($i > $o) > $o).
% 162.16/25.61 thf(zip_tseitin_2_type, type, zip_tseitin_2: $i > $i > ($i > $o) > $o).
% 162.16/25.61 thf(sk__3_type, type, sk__3: ($i > $o) > $i > $i).
% 162.16/25.61 thf(mnot_type, type, mnot: ($i > $o) > $i > $o).
% 162.16/25.61 thf(mbox_s4_type, type, mbox_s4: ($i > $o) > $i > $o).
% 162.16/25.61 thf(itrue_type, type, itrue: $i > $o).
% 162.16/25.61 thf(sk__10_type, type, sk__10: $i > ($i > $o) > ($i > $o) > $i).
% 162.16/25.61 thf(sk__5_type, type, sk__5: ($i > $o) > $i > $i).
% 162.16/25.61 thf(icountersatisfiable_type, type, icountersatisfiable: ($i > $o) > $o).
% 162.16/25.61 thf(iatom_type, type, iatom: ($i > $o) > $i > $o).
% 162.16/25.61 thf(sk__2_type, type, sk__2: ($i > $o) > $i > $i).
% 162.16/25.61 thf(sk__12_type, type, sk__12: $i > ($i > $o) > ($i > $o) > $i).
% 162.16/25.61 thf(sk__21_type, type, sk__21: $i > d_unsorted).
% 162.16/25.61 thf(sk__23_type, type, sk__23: $i > $o).
% 162.16/25.61 thf(mimplies_type, type, mimplies: ($i > $o) > ($i > $o) > $i > $o).
% 162.16/25.61 thf(sk__7_type, type, sk__7: ($i > $o) > $i).
% 162.16/25.61 thf(mor_type, type, mor: ($i > $o) > ($i > $o) > $i > $o).
% 162.16/25.61 thf(d2unsorted_type, type, d2unsorted: d_unsorted > $i).
% 162.16/25.61 thf(ifalse_type, type, ifalse: $i > $o).
% 162.16/25.61 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > ($i > $o) > $o).
% 162.16/25.61 thf(irel_type, type, irel: $i > $i > $o).
% 162.16/25.61 thf(sk__1_type, type, sk__1: ($i > $o) > $i > $i).
% 162.16/25.61 thf(sk__type, type, sk_: ($i > $o) > $i > $i).
% 162.16/25.61 thf(zip_tseitin_1_type, type, zip_tseitin_1: $i > ($i > $o) > ($i > $o) > $o).
% 162.16/25.61 thf(iinvalid_type, type, iinvalid: ($i > $o) > $o).
% 162.16/25.61 thf(sk__4_type, type, sk__4: ($i > $o) > $i > $i).
% 162.16/25.61 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > ($i > $o) > ($i > $o) > $o).
% 162.16/25.61 thf(sk__19_type, type, sk__19: $i > ($i > $o) > $i).
% 162.16/25.61 thf(ivalid_type, type, ivalid: ($i > $o) > $o).
% 162.16/25.61 thf(ior_type, type, ior: ($i > $o) > ($i > $o) > $i > $o).
% 162.16/25.61 thf(iimplied_type, type, iimplied: ($i > $o) > ($i > $o) > $i > $o).
% 162.16/25.61 thf(sk__22_type, type, sk__22: $i > $o).
% 162.16/25.61 thf(lcl695_1, axiom,
% 162.16/25.61 (( ![U:$i]: ( ?[DU:d_unsorted]: ( ( U ) = ( d2unsorted @ DU ) ) ) ) &
% 162.16/25.61 ( ![DU:d_unsorted]: ( ( DU ) = ( d_unsorted_0 ) ) ) &
% 162.16/25.61 ( ![DU1:d_unsorted,DU2:d_unsorted]:
% 162.16/25.61 ( ( ( d2unsorted @ DU1 ) = ( d2unsorted @ DU2 ) ) =>
% 162.16/25.61 ( ( DU1 ) = ( DU2 ) ) ) ) &
% 162.16/25.61 ( ![X:( $i > $o ),U:$i]: ( ( mnot @ X @ U ) <=> ( ~( X @ U ) ) ) ) &
% 162.16/25.61 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
% 162.16/25.61 ( ( mor @ X @ Y @ U ) <=> ( ( Y @ U ) | ( X @ U ) ) ) ) &
% 162.16/25.61 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
% 162.16/25.61 ( ( mand @ X @ Y @ U ) <=> ( ( Y @ U ) & ( X @ U ) ) ) ) &
% 162.16/25.61 ( ![U:( $i > $o ),V:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( mimplies @ U @ V @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( V @ Flatten_var_0 ) | ( ~( U @ Flatten_var_0 ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),X:$i]:
% 162.16/25.61 ( ( mbox_s4 @ P @ X ) <=>
% 162.16/25.61 ( ![Y:$i]: ( ( ~( irel @ X @ Y ) ) | ( P @ Y ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( iatom @ P @ Flatten_var_0 ) <=> ( P @ Flatten_var_0 ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( inot @ P @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( iand @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( Q @ Flatten_var_0 ) & ( P @ Flatten_var_0 ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( ior @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) |
% 162.16/25.61 ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( iimplies @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) |
% 162.16/25.61 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( iimplied @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) |
% 162.16/25.61 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( iequiv @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) |
% 162.16/25.61 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) ) ) &
% 162.16/25.61 ( ( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( Q @ Y ) ) ) |
% 162.16/25.61 ( ~( ![Y:$i]: ( ( ~( irel @ Flatten_var_0 @ Y ) ) | ( P @ Y ) ) ) ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( ixor @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ~( ![Y:$i,Bound_variable_747:$i,Bound_variable_754:$i]:
% 162.16/25.61 ( ( ~( irel @ Flatten_var_0 @ Y ) ) |
% 162.16/25.61 ( ( ( ~( ![Bound_variable_709:$i]:
% 162.16/25.61 ( ( ~( irel @ Y @ Bound_variable_709 ) ) |
% 162.16/25.61 ( P @ Bound_variable_709 ) ) ) ) |
% 162.16/25.61 ( ~( irel @ Y @ Bound_variable_747 ) ) |
% 162.16/25.61 ( Q @ Bound_variable_747 ) ) &
% 162.16/25.61 ( ( ~( ![Bound_variable_717:$i]:
% 162.16/25.61 ( ( ~( irel @ Y @ Bound_variable_717 ) ) |
% 162.16/25.61 ( Q @ Bound_variable_717 ) ) ) ) |
% 162.16/25.61 ( ~( irel @ Y @ Bound_variable_754 ) ) |
% 162.16/25.61 ( P @ Bound_variable_754 ) ) ) ) ) ) ) ) &
% 162.16/25.61 ( ![Phi:( $i > $o )]: ( ( ivalid @ Phi ) <=> ( ![W:$i]: ( Phi @ W ) ) ) ) &
% 162.16/25.61 ( ![Phi:( $i > $o )]:
% 162.16/25.61 ( ( isatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) ) &
% 162.16/25.61 ( ![Phi:( $i > $o )]:
% 162.16/25.61 ( ( icountersatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( Phi @ W ) ) ) ) ) &
% 162.16/25.61 ( ![Phi:( $i > $o )]:
% 162.16/25.61 ( ( iinvalid @ Phi ) <=> ( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) &
% 162.16/25.61 ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) ) &
% 162.16/25.61 ( itrue @ ( d2unsorted @ d_unsorted_0 ) ) &
% 162.16/25.61 ( ~( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ))).
% 162.16/25.61 thf(zf_stmt_0, axiom,
% 162.16/25.61 (![Bound_variable_747:$i,Y:$i,Q:( $i > $o ),P:( $i > $o )]:
% 162.16/25.61 ( ( zip_tseitin_4 @ Bound_variable_747 @ Y @ Q @ P ) <=>
% 162.16/25.61 ( ( Q @ Bound_variable_747 ) | ( ~( irel @ Y @ Bound_variable_747 ) ) |
% 162.16/25.61 ( ~( ![Bound_variable_709:$i]:
% 162.16/25.61 ( ( P @ Bound_variable_709 ) |
% 162.16/25.61 ( ~( irel @ Y @ Bound_variable_709 ) ) ) ) ) ) ))).
% 162.16/25.61 thf(zip_derived_cl16, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]:
% 162.16/25.61 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3) | ~ (X2 @ X0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 162.16/25.61 thf(zf_stmt_1, axiom,
% 162.16/25.61 (![Bound_variable_754:$i,Y:$i,Q:( $i > $o ),P:( $i > $o )]:
% 162.16/25.61 ( ( zip_tseitin_5 @ Bound_variable_754 @ Y @ Q @ P ) <=>
% 162.16/25.61 ( ( P @ Bound_variable_754 ) | ( ~( irel @ Y @ Bound_variable_754 ) ) |
% 162.16/25.61 ( ~( ![Bound_variable_717:$i]:
% 162.16/25.61 ( ( Q @ Bound_variable_717 ) |
% 162.16/25.61 ( ~( irel @ Y @ Bound_variable_717 ) ) ) ) ) ) ))).
% 162.16/25.61 thf(zip_derived_cl21, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]:
% 162.16/25.61 ( (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3) | ~ (X3 @ X0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_1])).
% 162.16/25.61 thf(zf_stmt_2, axiom,
% 162.16/25.61 (![Y:$i,Flatten_var_0:$i,P:( $i > $o )]:
% 162.16/25.61 ( ( zip_tseitin_0 @ Y @ Flatten_var_0 @ P ) <=>
% 162.16/25.61 ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ))).
% 162.16/25.61 thf(zip_derived_cl1, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 162.16/25.61 ( (zip_tseitin_0 @ X0 @ X1 @ X2) | ~ (X2 @ X0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_2])).
% 162.16/25.61 thf(zf_stmt_3, axiom,
% 162.16/25.61 (![Y:$i,Flatten_var_0:$i,Q:( $i > $o )]:
% 162.16/25.61 ( ( zip_tseitin_2 @ Y @ Flatten_var_0 @ Q ) <=>
% 162.16/25.61 ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ))).
% 162.16/25.61 thf(zip_derived_cl8, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 162.16/25.61 ( (zip_tseitin_2 @ X0 @ X1 @ X2) | ~ (X2 @ X0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_3])).
% 162.16/25.61 thf(zip_derived_cl0, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 162.16/25.61 (~ (irel @ X0 @ X1) | (X2 @ X1) | ~ (zip_tseitin_0 @ X1 @ X0 @ X2))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_2])).
% 162.16/25.61 thf(zf_stmt_4, type, zip_tseitin_5 : $i > $i > ( $i > $o ) > ( $i > $o ) > $o).
% 162.16/25.61 thf(zf_stmt_5, type, zip_tseitin_4 : $i > $i > ( $i > $o ) > ( $i > $o ) > $o).
% 162.16/25.61 thf(zf_stmt_6, type, zip_tseitin_3 : $i > ( $i > $o ) > ( $i > $o ) > $o).
% 162.16/25.61 thf(zf_stmt_7, axiom,
% 162.16/25.61 (![Flatten_var_0:$i,Q:( $i > $o ),P:( $i > $o )]:
% 162.16/25.61 ( ( zip_tseitin_3 @ Flatten_var_0 @ Q @ P ) <=>
% 162.16/25.61 ( ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) |
% 162.16/25.61 ( ![Y:$i]: ( zip_tseitin_2 @ Y @ Flatten_var_0 @ Q ) ) ) ))).
% 162.16/25.61 thf(zf_stmt_8, type, zip_tseitin_2 : $i > $i > ( $i > $o ) > $o).
% 162.16/25.61 thf(zf_stmt_9, type, zip_tseitin_1 : $i > ( $i > $o ) > ( $i > $o ) > $o).
% 162.16/25.61 thf(zf_stmt_10, axiom,
% 162.16/25.61 (![Flatten_var_0:$i,Q:( $i > $o ),P:( $i > $o )]:
% 162.16/25.61 ( ( zip_tseitin_1 @ Flatten_var_0 @ Q @ P ) <=>
% 162.16/25.61 ( ( ~( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) |
% 162.16/25.61 ( ![Y:$i]: ( zip_tseitin_0 @ Y @ Flatten_var_0 @ P ) ) ) ))).
% 162.16/25.61 thf(zf_stmt_11, type, zip_tseitin_0 : $i > $i > ( $i > $o ) > $o).
% 162.16/25.61 thf(zf_stmt_12, axiom,
% 162.16/25.61 (( ~( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ) &
% 162.16/25.61 ( itrue @ ( d2unsorted @ d_unsorted_0 ) ) &
% 162.16/25.61 ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) ) &
% 162.16/25.61 ( ![Phi:( $i > $o )]:
% 162.16/25.61 ( ( iinvalid @ Phi ) <=> ( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) &
% 162.16/25.61 ( ![Phi:( $i > $o )]:
% 162.16/25.61 ( ( icountersatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( Phi @ W ) ) ) ) ) &
% 162.16/25.61 ( ![Phi:( $i > $o )]:
% 162.16/25.61 ( ( isatisfiable @ Phi ) <=> ( ~( ![W:$i]: ( ~( Phi @ W ) ) ) ) ) ) &
% 162.16/25.61 ( ![Phi:( $i > $o )]: ( ( ivalid @ Phi ) <=> ( ![W:$i]: ( Phi @ W ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( ixor @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ~( ![Y:$i,Bound_variable_747:$i,Bound_variable_754:$i]:
% 162.16/25.61 ( ( ( zip_tseitin_5 @ Bound_variable_754 @ Y @ Q @ P ) &
% 162.16/25.61 ( zip_tseitin_4 @ Bound_variable_747 @ Y @ Q @ P ) ) |
% 162.16/25.61 ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( iequiv @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( zip_tseitin_3 @ Flatten_var_0 @ Q @ P ) &
% 162.16/25.61 ( zip_tseitin_1 @ Flatten_var_0 @ Q @ P ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( iimplied @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( ~( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) |
% 162.16/25.61 ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( iimplies @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) |
% 162.16/25.61 ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( ior @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) |
% 162.16/25.61 ( ![Y:$i]: ( ( Q @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Q:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( iand @ P @ Q @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( P @ Flatten_var_0 ) & ( Q @ Flatten_var_0 ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( inot @ P @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ~( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ Flatten_var_0 @ Y ) ) ) ) ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( iatom @ P @ Flatten_var_0 ) <=> ( P @ Flatten_var_0 ) ) ) &
% 162.16/25.61 ( ![P:( $i > $o ),X:$i]:
% 162.16/25.61 ( ( mbox_s4 @ P @ X ) <=>
% 162.16/25.61 ( ![Y:$i]: ( ( P @ Y ) | ( ~( irel @ X @ Y ) ) ) ) ) ) &
% 162.16/25.61 ( ![U:( $i > $o ),V:( $i > $o ),Flatten_var_0:$i]:
% 162.16/25.61 ( ( mimplies @ U @ V @ Flatten_var_0 ) <=>
% 162.16/25.61 ( ( ~( U @ Flatten_var_0 ) ) | ( V @ Flatten_var_0 ) ) ) ) &
% 162.16/25.61 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
% 162.16/25.61 ( ( mand @ X @ Y @ U ) <=> ( ( X @ U ) & ( Y @ U ) ) ) ) &
% 162.16/25.61 ( ![X:( $i > $o ),Y:( $i > $o ),U:$i]:
% 162.16/25.61 ( ( mor @ X @ Y @ U ) <=> ( ( X @ U ) | ( Y @ U ) ) ) ) &
% 162.16/25.61 ( ![X:( $i > $o ),U:$i]: ( ( mnot @ X @ U ) <=> ( ~( X @ U ) ) ) ) &
% 162.16/25.61 ( ![DU1:d_unsorted,DU2:d_unsorted]:
% 162.16/25.61 ( ( ( d2unsorted @ DU1 ) = ( d2unsorted @ DU2 ) ) =>
% 162.16/25.61 ( ( DU1 ) = ( DU2 ) ) ) ) &
% 162.16/25.61 ( ![DU:d_unsorted]: ( ( DU ) = ( d_unsorted_0 ) ) ) &
% 162.16/25.61 ( ![U:$i]: ( ?[DU:d_unsorted]: ( ( U ) = ( d2unsorted @ DU ) ) ) ))).
% 162.16/25.61 thf(zip_derived_cl66, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]:
% 162.16/25.61 ( (zip_tseitin_1 @ X0 @ X1 @ X2) | ~ (iequiv @ X2 @ X1 @ X0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl4, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]:
% 162.16/25.61 ( (zip_tseitin_0 @ X0 @ X1 @ X2)
% 162.16/25.61 | ~ (X3 @ (sk__1 @ X3 @ X1))
% 162.16/25.61 | ~ (zip_tseitin_1 @ X1 @ X3 @ X2))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_10])).
% 162.16/25.61 thf(zip_derived_cl6, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]:
% 162.16/25.61 ( (zip_tseitin_1 @ X0 @ X1 @ X2)
% 162.16/25.61 | ~ (zip_tseitin_0 @ (sk_ @ X2 @ X0) @ X0 @ X2))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_10])).
% 162.16/25.61 thf(zip_derived_cl13, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]:
% 162.16/25.61 ( (zip_tseitin_3 @ X0 @ X1 @ X2)
% 162.16/25.61 | ~ (zip_tseitin_2 @ (sk__2 @ X1 @ X0) @ X0 @ X1))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_7])).
% 162.16/25.61 thf(zip_derived_cl7, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i, X2 : $i > $o]:
% 162.16/25.61 (~ (irel @ X0 @ X1) | (X2 @ X1) | ~ (zip_tseitin_2 @ X1 @ X0 @ X2))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_3])).
% 162.16/25.61 thf(zip_derived_cl68, plain,
% 162.16/25.61 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i, X4 : $i]:
% 162.16/25.61 ( (ixor @ X0 @ X1 @ X2)
% 162.16/25.61 | (zip_tseitin_5 @ X3 @ X4 @ X1 @ X0)
% 162.16/25.61 | ~ (irel @ X2 @ X4))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl19, plain,
% 162.16/25.61 (![X0 : $i > $o, X1 : $i, X2 : $i, X3 : $i > $o]:
% 162.16/25.61 (~ (X0 @ (sk__5 @ X0 @ X1))
% 162.16/25.61 | ~ (irel @ X1 @ X2)
% 162.16/25.61 | (X3 @ X2)
% 162.16/25.61 | ~ (zip_tseitin_5 @ X2 @ X1 @ X0 @ X3))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_1])).
% 162.16/25.61 thf(zip_derived_cl65, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]:
% 162.16/25.61 ( (zip_tseitin_3 @ X0 @ X1 @ X2) | ~ (iequiv @ X2 @ X1 @ X0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl11, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o]:
% 162.16/25.61 ( (zip_tseitin_2 @ X0 @ X1 @ X2)
% 162.16/25.61 | ~ (X3 @ (sk__3 @ X3 @ X1))
% 162.16/25.61 | ~ (zip_tseitin_3 @ X1 @ X2 @ X3))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_7])).
% 162.16/25.61 thf(zip_derived_cl23, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o, X4 : $i]:
% 162.16/25.61 ( (zip_tseitin_5 @ X0 @ X1 @ X2 @ X3)
% 162.16/25.61 | (X2 @ X4)
% 162.16/25.61 | ~ (irel @ X1 @ X4))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_1])).
% 162.16/25.61 thf(zip_derived_cl67, plain,
% 162.16/25.61 (![X0 : $i > $o, X1 : $i > $o, X2 : $i, X3 : $i, X4 : $i]:
% 162.16/25.61 ( (ixor @ X0 @ X1 @ X2)
% 162.16/25.61 | (zip_tseitin_4 @ X3 @ X4 @ X1 @ X0)
% 162.16/25.61 | ~ (irel @ X2 @ X4))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(ixor, conjecture,
% 162.16/25.61 (![P:( $i > $o ),Q:( $i > $o ),X_2:$i]:
% 162.16/25.61 ( ( ixor @ P @ Q @ X_2 ) <=> ( inot @ ( iequiv @ P @ Q ) @ X_2 ) ))).
% 162.16/25.61 thf(zf_stmt_13, negated_conjecture,
% 162.16/25.61 (~( ![P:( $i > $o ),Q:( $i > $o ),X_2:$i]:
% 162.16/25.61 ( ( ixor @ P @ Q @ X_2 ) <=> ( inot @ ( iequiv @ P @ Q ) @ X_2 ) ) )),
% 162.16/25.61 inference('cnf.neg', [status(esa)], [ixor])).
% 162.16/25.61 thf(zip_derived_cl83, plain,
% 162.16/25.61 ((~ (inot @ (iequiv @ sk__22 @ sk__23) @ sk__24)
% 162.16/25.61 | ~ (ixor @ sk__22 @ sk__23 @ sk__24))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_13])).
% 162.16/25.61 thf(zip_derived_cl14, plain,
% 162.16/25.61 (![X0 : $i > $o, X1 : $i, X2 : $i, X3 : $i > $o]:
% 162.16/25.61 (~ (X0 @ (sk__4 @ X0 @ X1))
% 162.16/25.61 | ~ (irel @ X1 @ X2)
% 162.16/25.61 | (X3 @ X2)
% 162.16/25.61 | ~ (zip_tseitin_4 @ X2 @ X1 @ X3 @ X0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 162.16/25.61 thf(zip_derived_cl18, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i, X2 : $i > $o, X3 : $i > $o, X4 : $i]:
% 162.16/25.61 ( (zip_tseitin_4 @ X0 @ X1 @ X2 @ X3)
% 162.16/25.61 | (X3 @ X4)
% 162.16/25.61 | ~ (irel @ X1 @ X4))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_0])).
% 162.16/25.61 thf(zip_derived_cl43, plain,
% 162.16/25.61 (![X0 : $i > $o, X1 : $i, X2 : $i]:
% 162.16/25.61 ( (inot @ X0 @ X1) | ~ (irel @ X1 @ X2) | (X0 @ X2))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl70, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i > $o, X2 : $i > $o]:
% 162.16/25.61 (~ (zip_tseitin_4 @ (sk__11 @ X0 @ X1 @ X2) @
% 162.16/25.61 (sk__10 @ X0 @ X1 @ X2) @ X1 @ X2)
% 162.16/25.61 | ~ (zip_tseitin_5 @ (sk__12 @ X0 @ X1 @ X2) @
% 162.16/25.61 (sk__10 @ X0 @ X1 @ X2) @ X1 @ X2)
% 162.16/25.61 | ~ (ixor @ X2 @ X1 @ X0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl5, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i > $o, X2 : $i > $o, X3 : $i]:
% 162.16/25.61 ( (zip_tseitin_1 @ X0 @ X1 @ X2) | (X1 @ X3) | ~ (irel @ X0 @ X3))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_10])).
% 162.16/25.61 thf(zip_derived_cl12, plain,
% 162.16/25.61 (![X0 : $i, X1 : $i > $o, X2 : $i > $o, X3 : $i]:
% 162.16/25.61 ( (zip_tseitin_3 @ X0 @ X1 @ X2) | (X2 @ X3) | ~ (irel @ X0 @ X3))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_7])).
% 162.16/25.61 thf(zip_derived_cl64, plain,
% 162.16/25.61 (![X0 : $i > $o, X1 : $i > $o, X2 : $i]:
% 162.16/25.61 ( (iequiv @ X0 @ X1 @ X2)
% 162.16/25.61 | ~ (zip_tseitin_1 @ X2 @ X1 @ X0)
% 162.16/25.61 | ~ (zip_tseitin_3 @ X2 @ X1 @ X0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl79, plain,
% 162.16/25.61 ( (irel @ (d2unsorted @ d_unsorted_0) @ (d2unsorted @ d_unsorted_0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl82, plain,
% 162.16/25.61 (( (inot @ (iequiv @ sk__22 @ sk__23) @ sk__24)
% 162.16/25.61 | (ixor @ sk__22 @ sk__23 @ sk__24))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_13])).
% 162.16/25.61 thf(zip_derived_cl24, plain,
% 162.16/25.61 (![X0 : $i]: ((X0) = (d2unsorted @ (sk__21 @ X0)))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl25, plain, (![X0 : d_unsorted]: ((X0) = (d_unsorted_0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl90, plain,
% 162.16/25.61 (![X0 : $i]: ((X0) = (d2unsorted @ d_unsorted_0))),
% 162.16/25.61 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl25])).
% 162.16/25.61 thf(zip_derived_cl90, plain,
% 162.16/25.61 (![X0 : $i]: ((X0) = (d2unsorted @ d_unsorted_0))),
% 162.16/25.61 inference('demod', [status(thm)], [zip_derived_cl24, zip_derived_cl25])).
% 162.16/25.61 thf(zip_derived_cl93, plain, (![X0 : $i, X1 : $i]: ((X1) = (X0))),
% 162.16/25.61 inference('sup+', [status(thm)], [zip_derived_cl90, zip_derived_cl90])).
% 162.16/25.61 thf(zip_derived_cl76, plain,
% 162.16/25.61 (![X0 : $i > $o]: (~ (X0 @ (sk__7 @ X0)) | ~ (icountersatisfiable @ X0))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl75, plain,
% 162.16/25.61 (![X0 : $i > $o, X1 : $i]: ( (icountersatisfiable @ X0) | (X0 @ X1))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl11760, plain,
% 162.16/25.61 (![X0 : $i > $o, X1 : $i]: (~ (X0 @ (sk__7 @ X0)) | (X0 @ X1))),
% 162.16/25.61 inference('sup+', [status(thm)], [zip_derived_cl76, zip_derived_cl75])).
% 162.16/25.61 thf(zip_derived_cl44, plain,
% 162.16/25.61 (![X0 : $i > $o, X1 : $i]:
% 162.16/25.61 (~ (X0 @ (sk__19 @ X1 @ X0)) | ~ (inot @ X0 @ X1))),
% 162.16/25.61 inference('cnf', [status(esa)], [zf_stmt_12])).
% 162.16/25.61 thf(zip_derived_cl12794, plain, ($false),
% 162.16/25.61 inference('eprover', [status(thm)],
% 162.16/25.61 [zip_derived_cl16, zip_derived_cl21, zip_derived_cl1,
% 162.16/25.61 zip_derived_cl8, zip_derived_cl0, zip_derived_cl66,
% 162.16/25.61 zip_derived_cl4, zip_derived_cl6, zip_derived_cl13,
% 162.16/25.61 zip_derived_cl7, zip_derived_cl68, zip_derived_cl19,
% 162.16/25.61 zip_derived_cl65, zip_derived_cl11, zip_derived_cl23,
% 162.16/25.61 zip_derived_cl67, zip_derived_cl83, zip_derived_cl14,
% 162.16/25.61 zip_derived_cl18, zip_derived_cl43, zip_derived_cl70,
% 162.16/25.61 zip_derived_cl5, zip_derived_cl12, zip_derived_cl64,
% 162.16/25.61 zip_derived_cl79, zip_derived_cl82, zip_derived_cl93,
% 162.16/25.61 zip_derived_cl11760, zip_derived_cl44])).
% 162.16/25.61
% 162.16/25.61 % SZS output end Refutation
% 162.16/25.61
% 162.16/25.61
% 162.16/25.61 % Terminating...
% 179.51/25.73 % Runner terminated.
% 179.51/25.73 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------