%------------------------------------------------------------------------------
% 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/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9iUij9RoKy true
% Computer : n019.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 53.89s 7.53s
% Output : Refutation 53.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 2
% Syntax : Number of formulae : 54 ( 47 unt; 0 typ; 0 def)
% Number of atoms : 523 ( 109 equ; 101 cnn)
% Maximal formula atoms : 30 ( 9 avg)
% Number of connectives : 1070 ( 149 ~; 119 |; 78 &; 624 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 139 ( 139 >; 0 *; 0 +; 0 <<)
% Number of symbols : 32 ( 27 usr; 6 con; 0-3 aty)
% ( 93 !!; 4 ??; 0 @@+; 0 @@-)
% Number of variables : 330 ( 257 ^; 72 !; 1 ?; 330 :)
% Comments :
%------------------------------------------------------------------------------
thf(d_unsorted_type,type,
d_unsorted: $tType ).
thf(iimplies_type,type,
iimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(d_unsorted_0_type,type,
d_unsorted_0: d_unsorted ).
thf(mand_type,type,
mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#_fresh_sk3_type',type,
'#_fresh_sk3': $i ).
thf('#sk161_type',type,
'#sk161': $i > d_unsorted ).
thf(iand_type,type,
iand: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(inot_type,type,
inot: ( $i > $o ) > $i > $o ).
thf(ixor_type,type,
ixor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(iequiv_type,type,
iequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf('#sk244_type',type,
'#sk244': ( $i > $o ) > $i ).
thf(isatisfiable_type,type,
isatisfiable: ( $i > $o ) > $o ).
thf('#_fresh_sk2_type',type,
'#_fresh_sk2': $i > $o ).
thf('#_fresh_sk1_type',type,
'#_fresh_sk1': $i > $o ).
thf(mnot_type,type,
mnot: ( $i > $o ) > $i > $o ).
thf(mbox_s4_type,type,
mbox_s4: ( $i > $o ) > $i > $o ).
thf(itrue_type,type,
itrue: $i > $o ).
thf(icountersatisfiable_type,type,
icountersatisfiable: ( $i > $o ) > $o ).
thf(iatom_type,type,
iatom: ( $i > $o ) > $i > $o ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mor_type,type,
mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(d2unsorted_type,type,
d2unsorted: d_unsorted > $i ).
thf(ifalse_type,type,
ifalse: $i > $o ).
thf(irel_type,type,
irel: $i > $i > $o ).
thf(iinvalid_type,type,
iinvalid: ( $i > $o ) > $o ).
thf(ivalid_type,type,
ivalid: ( $i > $o ) > $o ).
thf(ior_type,type,
ior: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(iimplied_type,type,
iimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(lcl696_1,axiom,
( ! [U: $i] :
? [DU: d_unsorted] :
( U
= ( d2unsorted @ DU ) )
& ! [DU: d_unsorted] : ( DU = d_unsorted_0 )
& ! [DU1: d_unsorted,DU2: d_unsorted] :
( ( ( d2unsorted @ DU1 )
= ( d2unsorted @ DU2 ) )
=> ( DU1 = DU2 ) )
& ( mnot
= ( ^ [X: $i > $o,U: $i] :
~ ( X @ U ) ) )
& ( mor
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( Y @ U )
| ( X @ U ) ) ) )
& ( mand
= ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
( ( Y @ U )
& ( X @ U ) ) ) )
& ( mimplies
= ( ^ [U: $i > $o,V: $i > $o,Flatten_var_0: $i] :
( ( V @ Flatten_var_0 )
| ~ ( U @ Flatten_var_0 ) ) ) )
& ( mbox_s4
= ( ^ [P: $i > $o,X: $i] :
! [Y: $i] :
( ~ ( irel @ X @ Y )
| ( P @ Y ) ) ) )
& ( iatom
= ( ^ [P: $i > $o,Flatten_var_0: $i] : ( P @ Flatten_var_0 ) ) )
& ( inot
= ( ^ [P: $i > $o,Flatten_var_0: $i] :
~ ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( P @ Y ) ) ) )
& ( iand
= ( ^ [P: $i > $o,Q: $i > $o,Flatten_var_0: $i] :
( ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( Q @ Y ) )
& ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( P @ Y ) ) ) ) )
& ( ior
= ( ^ [P: $i > $o,Q: $i > $o,Flatten_var_0: $i] :
( ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( Q @ Y ) )
| ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( P @ Y ) ) ) ) )
& ( iimplies
= ( ^ [P: $i > $o,Q: $i > $o,Flatten_var_0: $i] :
( ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( Q @ Y ) )
| ~ ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( P @ Y ) ) ) ) )
& ( iimplied
= ( ^ [P: $i > $o,Q: $i > $o,Flatten_var_0: $i] :
( ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( P @ Y ) )
| ~ ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( Q @ Y ) ) ) ) )
& ( iequiv
= ( ^ [P: $i > $o,Q: $i > $o,Flatten_var_0: $i] :
( ! [Y: $i,Bound_variable_771: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ~ ! [Bound_variable_746: $i] :
( ~ ( irel @ Y @ Bound_variable_746 )
| ( Q @ Bound_variable_746 ) )
| ~ ( irel @ Y @ Bound_variable_771 )
| ( P @ Bound_variable_771 ) )
& ! [Y: $i,Bound_variable_718: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ~ ! [Bound_variable_693: $i] :
( ~ ( irel @ Y @ Bound_variable_693 )
| ( P @ Bound_variable_693 ) )
| ~ ( irel @ Y @ Bound_variable_718 )
| ( Q @ Bound_variable_718 ) ) ) ) )
& ( ixor
= ( ^ [P: $i > $o,Q: $i > $o,Flatten_var_0: $i] :
~ ! [Y: $i,Bound_variable_849: $i,Bound_variable_851: $i,Bound_variable_864: $i,Bound_variable_866: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( ( ~ ( irel @ Y @ Bound_variable_849 )
| ~ ! [Bound_variable_693: $i] :
( ~ ( irel @ Bound_variable_849 @ Bound_variable_693 )
| ( P @ Bound_variable_693 ) )
| ~ ( irel @ Bound_variable_849 @ Bound_variable_851 )
| ( Q @ Bound_variable_851 ) )
& ( ~ ( irel @ Y @ Bound_variable_864 )
| ~ ! [Bound_variable_746: $i] :
( ~ ( irel @ Bound_variable_864 @ Bound_variable_746 )
| ( Q @ Bound_variable_746 ) )
| ~ ( irel @ Bound_variable_864 @ Bound_variable_866 )
| ( P @ Bound_variable_866 ) ) ) ) ) )
& ( ivalid
= ( ^ [Phi: $i > $o] :
! [W: $i] : ( Phi @ W ) ) )
& ( isatisfiable
= ( ^ [Phi: $i > $o] :
~ ! [W: $i] :
~ ( Phi @ W ) ) )
& ( icountersatisfiable
= ( ^ [Phi: $i > $o] :
~ ! [W: $i] : ( Phi @ W ) ) )
& ( iinvalid
= ( ^ [Phi: $i > $o] :
! [W: $i] :
~ ( Phi @ W ) ) )
& ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) )
& ( itrue @ ( d2unsorted @ d_unsorted_0 ) )
& ~ ( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ) ).
thf(zip_derived_cl0,plain,
( ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: d_unsorted] :
( Y0
= ( d2unsorted @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: d_unsorted] : ( Y0 = d_unsorted_0 ) )
& ( !!
@ ^ [Y0: d_unsorted] :
( !!
@ ^ [Y1: d_unsorted] :
( ( ( d2unsorted @ Y0 )
= ( d2unsorted @ Y1 ) )
=> ( Y0 = Y1 ) ) ) )
& ( mnot
= ( ^ [Y0: $i > $o,Y1: $i] : ( (~) @ ( Y0 @ Y1 ) ) ) )
& ( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) )
& ( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) )
& ( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( (~) @ ( Y0 @ Y2 ) ) ) ) )
& ( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( irel @ Y1 @ Y2 ) )
| ( Y0 @ Y2 ) ) ) ) )
& ( iatom
= ( ^ [Y0: $i > $o,Y1: $i] : ( Y0 @ Y1 ) ) )
& ( inot
= ( ^ [Y0: $i > $o,Y1: $i] :
( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( irel @ Y1 @ Y2 ) )
| ( Y0 @ Y2 ) ) ) ) ) )
& ( iand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) ) ) )
& ( ior
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
| ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) ) ) )
& ( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) ) ) ) )
& ( iimplied
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( iequiv
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( irel @ Y3 @ Y5 ) )
| ( Y1 @ Y5 ) ) ) )
| ( (~) @ ( irel @ Y3 @ Y4 ) )
| ( Y0 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( irel @ Y3 @ Y5 ) )
| ( Y0 @ Y5 ) ) ) )
| ( (~) @ ( irel @ Y3 @ Y4 ) )
| ( Y1 @ Y4 ) ) ) ) ) ) )
& ( ixor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( (~)
@ ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( !!
@ ^ [Y7: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( ( ( (~) @ ( irel @ Y3 @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( irel @ Y4 @ Y8 ) )
| ( Y0 @ Y8 ) ) ) )
| ( (~) @ ( irel @ Y4 @ Y5 ) )
| ( Y1 @ Y5 ) )
& ( ( (~) @ ( irel @ Y3 @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( irel @ Y6 @ Y8 ) )
| ( Y1 @ Y8 ) ) ) )
| ( (~) @ ( irel @ Y6 @ Y7 ) )
| ( Y0 @ Y7 ) ) ) ) ) ) ) ) ) ) ) )
& ( ivalid
= ( ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) )
& ( isatisfiable
= ( ^ [Y0: $i > $o] :
( (~)
@ ( !!
@ ^ [Y1: $i] : ( (~) @ ( Y0 @ Y1 ) ) ) ) ) )
& ( icountersatisfiable
= ( ^ [Y0: $i > $o] :
( (~)
@ ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) )
& ( iinvalid
= ( ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] : ( (~) @ ( Y0 @ Y1 ) ) ) ) )
& ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) )
& ( itrue @ ( d2unsorted @ d_unsorted_0 ) )
& ( (~) @ ( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ) ),
inference(cnf,[status(esa)],[lcl696_1]) ).
thf(zip_derived_cl4,plain,
( ( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: d_unsorted] :
( Y0
= ( d2unsorted @ Y1 ) ) ) )
& ( !!
@ ^ [Y0: d_unsorted] : ( Y0 = d_unsorted_0 ) )
& ( !!
@ ^ [Y0: d_unsorted] :
( !!
@ ^ [Y1: d_unsorted] :
( ( ( d2unsorted @ Y0 )
= ( d2unsorted @ Y1 ) )
=> ( Y0 = Y1 ) ) ) )
& ( mnot
= ( ^ [Y0: $i > $o,Y1: $i] : ( (~) @ ( Y0 @ Y1 ) ) ) )
& ( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) )
& ( mand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) )
& ( mimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( (~) @ ( Y0 @ Y2 ) ) ) ) )
& ( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( irel @ Y1 @ Y2 ) )
| ( Y0 @ Y2 ) ) ) ) )
& ( iatom
= ( ^ [Y0: $i > $o] : Y0 ) )
& ( inot
= ( ^ [Y0: $i > $o,Y1: $i] :
( (~)
@ ( !!
@ ^ [Y2: $i] :
( ( (~) @ ( irel @ Y1 @ Y2 ) )
| ( Y0 @ Y2 ) ) ) ) ) )
& ( iand
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
& ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) ) ) )
& ( ior
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
| ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) ) ) )
& ( iimplies
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) ) ) ) )
& ( iimplied
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) ) ) ) ) )
& ( iequiv
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( irel @ Y3 @ Y5 ) )
| ( Y1 @ Y5 ) ) ) )
| ( (~) @ ( irel @ Y3 @ Y4 ) )
| ( Y0 @ Y4 ) ) ) )
& ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( (~)
@ ( !!
@ ^ [Y5: $i] :
( ( (~) @ ( irel @ Y3 @ Y5 ) )
| ( Y0 @ Y5 ) ) ) )
| ( (~) @ ( irel @ Y3 @ Y4 ) )
| ( Y1 @ Y4 ) ) ) ) ) ) )
& ( ixor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( (~)
@ ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( !!
@ ^ [Y6: $i] :
( !!
@ ^ [Y7: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( ( ( (~) @ ( irel @ Y3 @ Y4 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( irel @ Y4 @ Y8 ) )
| ( Y0 @ Y8 ) ) ) )
| ( (~) @ ( irel @ Y4 @ Y5 ) )
| ( Y1 @ Y5 ) )
& ( ( (~) @ ( irel @ Y3 @ Y6 ) )
| ( (~)
@ ( !!
@ ^ [Y8: $i] :
( ( (~) @ ( irel @ Y6 @ Y8 ) )
| ( Y1 @ Y8 ) ) ) )
| ( (~) @ ( irel @ Y6 @ Y7 ) )
| ( Y0 @ Y7 ) ) ) ) ) ) ) ) ) ) ) )
& ( ivalid
= ( ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) )
& ( isatisfiable
= ( ^ [Y0: $i > $o] :
( (~)
@ ( !!
@ ^ [Y1: $i] : ( (~) @ ( Y0 @ Y1 ) ) ) ) ) )
& ( icountersatisfiable
= ( ^ [Y0: $i > $o] :
( (~)
@ ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) )
& ( iinvalid
= ( ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] : ( (~) @ ( Y0 @ Y1 ) ) ) ) )
& ( irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ) )
& ( itrue @ ( d2unsorted @ d_unsorted_0 ) )
& ( (~) @ ( ifalse @ ( d2unsorted @ d_unsorted_0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).
thf(zip_derived_cl22,plain,
( isatisfiable
= ( ^ [Y0: $i > $o] :
( (~)
@ ( !!
@ ^ [Y1: $i] : ( (~) @ ( Y0 @ Y1 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl76,plain,
( isatisfiable
= ( ^ [Y0: $i > $o] :
( (~)
@ ( !!
@ ^ [Y1: $i] : ( (~) @ ( Y0 @ Y1 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl22]) ).
thf(zip_derived_cl77,plain,
! [X2: $i > $o] :
( ( isatisfiable @ X2 )
= ( ^ [Y0: $i > $o] :
( (~)
@ ( !!
@ ^ [Y1: $i] : ( (~) @ ( Y0 @ Y1 ) ) ) )
@ X2 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl76]) ).
thf(zip_derived_cl78,plain,
! [X2: $i > $o] :
( ( isatisfiable @ X2 )
= ( (~)
@ ( !!
@ ^ [Y0: $i] : ( (~) @ ( X2 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl77]) ).
thf(zip_derived_cl79,plain,
! [X2: $i > $o] :
( ( isatisfiable @ X2 )
!= ( !!
@ ^ [Y0: $i] : ( (~) @ ( X2 @ Y0 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl78]) ).
thf(zip_derived_cl23,plain,
( icountersatisfiable
= ( ^ [Y0: $i > $o] :
( (~)
@ ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl80,plain,
( icountersatisfiable
= ( ^ [Y0: $i > $o] :
( (~)
@ ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl23]) ).
thf(zip_derived_cl81,plain,
! [X2: $i > $o] :
( ( icountersatisfiable @ X2 )
= ( ^ [Y0: $i > $o] :
( (~)
@ ( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) )
@ X2 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl80]) ).
thf(zip_derived_cl82,plain,
! [X2: $i > $o] :
( ( icountersatisfiable @ X2 )
= ( (~)
@ ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl81]) ).
thf(zip_derived_cl83,plain,
! [X2: $i > $o] :
( ( icountersatisfiable @ X2 )
!= ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl82]) ).
thf(zip_derived_cl12,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( irel @ Y1 @ Y2 ) )
| ( Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl44,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( irel @ Y1 @ Y2 ) )
| ( Y0 @ Y2 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).
thf(zip_derived_cl45,plain,
! [X2: $i > $o,X3: $i] :
( ( mbox_s4 @ X2 @ X3 )
= ( ^ [Y0: $i > $o,Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( irel @ Y1 @ Y2 ) )
| ( Y0 @ Y2 ) ) )
@ X2
@ X3 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl44]) ).
thf(zip_derived_cl46,plain,
! [X2: $i > $o,X3: $i] :
( ( mbox_s4 @ X2 @ X3 )
= ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( irel @ X3 @ Y0 ) )
| ( X2 @ Y0 ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl45]) ).
thf(zip_derived_cl25,plain,
irel @ ( d2unsorted @ d_unsorted_0 ) @ ( d2unsorted @ d_unsorted_0 ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl16,plain,
( ior
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
| ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl57,plain,
( ior
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
| ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl16]) ).
thf(zip_derived_cl58,plain,
! [X2: $i > $o,X3: $i > $o,X4: $i] :
( ( ior @ X2 @ X3 @ X4 )
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
| ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) )
@ X2
@ X3
@ X4 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl57]) ).
thf(zip_derived_cl59,plain,
! [X2: $i > $o,X3: $i > $o,X4: $i] :
( ( ior @ X2 @ X3 @ X4 )
= ( ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( irel @ X4 @ Y0 ) )
| ( X3 @ Y0 ) ) )
| ( !!
@ ^ [Y0: $i] :
( ( (~) @ ( irel @ X4 @ Y0 ) )
| ( X2 @ Y0 ) ) ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl58]) ).
thf(zip_derived_cl21,plain,
( ivalid
= ( ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl73,plain,
( ivalid
= ( ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl21]) ).
thf(zip_derived_cl74,plain,
! [X2: $i > $o] :
( ( ivalid @ X2 )
= ( ^ [Y0: $i > $o] :
( !!
@ ^ [Y1: $i] : ( Y0 @ Y1 ) )
@ X2 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl73]) ).
thf(zip_derived_cl75,plain,
! [X2: $i > $o] :
( ( ivalid @ X2 )
= ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl168,plain,
! [X2: $i > $o] :
( ( ivalid @ X2 )
| ~ ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(eq_elim,[status(thm)],[zip_derived_cl75]) ).
thf(zip_derived_cl989,plain,
! [X2: $i > $o] :
( ~ ( X2 @ ( '#sk244' @ X2 ) )
| ( ivalid @ X2 ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl168]) ).
thf(zip_derived_cl75_001,plain,
! [X2: $i > $o] :
( ( ivalid @ X2 )
= ( !!
@ ^ [Y0: $i] : ( X2 @ Y0 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl992,plain,
! [X0: $i > $o] :
( ( !!
@ ^ [Y0: $i] : ( X0 @ Y0 ) )
| ~ ( X0 @ ( '#sk244' @ X0 ) ) ),
inference('sup+',[status(thm)],[zip_derived_cl989,zip_derived_cl75]) ).
thf(zip_derived_cl9,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl35,plain,
( mor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).
thf(zip_derived_cl36,plain,
! [X2: $i > $o,X3: $i > $o,X4: $i] :
( ( mor @ X2 @ X3 @ X4 )
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( ( Y1 @ Y2 )
| ( Y0 @ Y2 ) )
@ X2
@ X3
@ X4 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl35]) ).
thf(zip_derived_cl37,plain,
! [X2: $i > $o,X3: $i > $o,X4: $i] :
( ( mor @ X2 @ X3 @ X4 )
= ( ( X3 @ X4 )
| ( X2 @ X4 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl36]) ).
thf(zip_derived_cl13,plain,
( iatom
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl47,plain,
( iatom
= ( ^ [Y0: $i > $o] : Y0 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).
thf(zip_derived_cl48,plain,
! [X2: $i > $o,X3: $i] :
( ( iatom @ X2 @ X3 )
= ( ^ [Y0: $i > $o] : Y0
@ X2
@ X3 ) ),
inference(arg_cong_simpl,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl49,plain,
! [X2: $i > $o,X3: $i] :
( ( iatom @ X2 @ X3 )
= ( X2 @ X3 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl48]) ).
thf(ior,conjecture,
( ior
= ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ) ).
thf(zf_stmt_0,negated_conjecture,
( ior
!= ( ^ [P: $i > $o,Q: $i > $o] : ( mor @ ( mbox_s4 @ P ) @ ( mbox_s4 @ Q ) ) ) ),
inference('cnf.neg',[status(esa)],[ior]) ).
thf(zip_derived_cl1,plain,
( ior
!= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) ) ) ),
inference(cnf,[status(esa)],[zf_stmt_0]) ).
thf(zip_derived_cl2,plain,
( ( ior @ '#_fresh_sk1' @ '#_fresh_sk2' @ '#_fresh_sk3' )
!= ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mbox_s4 @ Y0 ) @ ( mbox_s4 @ Y1 ) )
@ '#_fresh_sk1'
@ '#_fresh_sk2'
@ '#_fresh_sk3' ) ),
inference(neg_ext_simpl,[status(thm)],[zip_derived_cl1]) ).
thf(zip_derived_cl3,plain,
( ( ior @ '#_fresh_sk1' @ '#_fresh_sk2' @ '#_fresh_sk3' )
!= ( mor @ ( mbox_s4 @ '#_fresh_sk1' ) @ ( mbox_s4 @ '#_fresh_sk2' ) @ '#_fresh_sk3' ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl2]) ).
thf(zip_derived_cl49_002,plain,
! [X2: $i > $o,X3: $i] :
( ( iatom @ X2 @ X3 )
= ( X2 @ X3 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl49_003,plain,
! [X2: $i > $o,X3: $i] :
( ( iatom @ X2 @ X3 )
= ( X2 @ X3 ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl48]) ).
thf(zip_derived_cl93,plain,
( ( iatom @ ( ior @ '#_fresh_sk1' @ '#_fresh_sk2' ) @ '#_fresh_sk3' )
!= ( iatom @ ( mor @ ( mbox_s4 @ '#_fresh_sk1' ) @ ( mbox_s4 @ '#_fresh_sk2' ) ) @ '#_fresh_sk3' ) ),
inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl49,zip_derived_cl49]) ).
thf(zip_derived_cl6,plain,
( !!
@ ^ [Y0: d_unsorted] : ( Y0 = d_unsorted_0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl29,plain,
! [X2: d_unsorted] : ( X2 = d_unsorted_0 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).
thf(zip_derived_cl88,plain,
! [X2: d_unsorted] : ( X2 = d_unsorted_0 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl29]) ).
thf(zip_derived_cl5,plain,
( !!
@ ^ [Y0: $i] :
( ??
@ ^ [Y1: d_unsorted] :
( Y0
= ( d2unsorted @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).
thf(zip_derived_cl28,plain,
! [X2: $i] :
( ??
@ ^ [Y0: d_unsorted] :
( X2
= ( d2unsorted @ Y0 ) ) ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).
thf(zip_derived_cl87,plain,
! [X2: $i] :
( X2
= ( d2unsorted @ ( '#sk161' @ X2 ) ) ),
inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl28]) ).
thf(zip_derived_cl90,plain,
! [X2: $i] :
( X2
= ( d2unsorted @ ( '#sk161' @ X2 ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl87]) ).
thf(zip_derived_cl7685,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl79,zip_derived_cl83,zip_derived_cl46,zip_derived_cl25,zip_derived_cl59,zip_derived_cl992,zip_derived_cl37,zip_derived_cl49,zip_derived_cl93,zip_derived_cl88,zip_derived_cl90]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWX153_1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.9iUij9RoKy true
% 0.16/0.34 % Computer : n019.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 09:21:29 EDT 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.35 % Number of cores: 8
% 0.16/0.35 % Python version: Python 3.6.8
% 0.16/0.35 % Running in HO mode
% 0.55/0.66 % Total configuration time : 828
% 0.55/0.66 % Estimated wc time : 1656
% 0.55/0.66 % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.72 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.76 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 53.89/7.53 % Solved by lams/20_acsne_simpl.sh.
% 53.89/7.53 % done 287 iterations in 6.741s
% 53.89/7.53 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 53.89/7.53 % SZS output start Refutation
% See solution above
% 53.89/7.54
% 53.89/7.54
% 53.89/7.54 % Terminating...
% 53.89/7.60 % Runner terminated.
% 8.29/7.61 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------