%------------------------------------------------------------------------------
% 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.boNR2rlUmm true
% Computer : n007.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 27.88s 4.16s
% Output : Refutation 27.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 458 ( 100 equ; 103 cnn)
% Maximal formula atoms : 30 ( 21 avg)
% Number of connectives : 958 ( 139 ~; 107 |; 104 &; 522 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 7 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 124 ( 124 >; 0 *; 0 +; 0 <<)
% Number of symbols : 27 ( 22 usr; 5 con; 0-3 aty)
% ( 79 !!; 3 ??; 0 @@+; 0 @@-)
% Number of variables : 293 ( 254 ^; 38 !; 1 ?; 293 :)
% 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(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(isatisfiable_type,type,
isatisfiable: ( $i > $o ) > $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(lcl695_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] :
( ( Q @ Flatten_var_0 )
& ( P @ Flatten_var_0 ) ) ) )
& ( 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] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( P @ Y ) )
| ~ ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( Q @ Y ) ) )
& ( ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( Q @ Y ) )
| ~ ! [Y: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( P @ Y ) ) ) ) ) )
& ( ixor
= ( ^ [P: $i > $o,Q: $i > $o,Flatten_var_0: $i] :
~ ! [Y: $i,Bound_variable_747: $i,Bound_variable_754: $i] :
( ~ ( irel @ Flatten_var_0 @ Y )
| ( ( ~ ! [Bound_variable_709: $i] :
( ~ ( irel @ Y @ Bound_variable_709 )
| ( P @ Bound_variable_709 ) )
| ~ ( irel @ Y @ Bound_variable_747 )
| ( Q @ Bound_variable_747 ) )
& ( ~ ! [Bound_variable_717: $i] :
( ~ ( irel @ Y @ Bound_variable_717 )
| ( Q @ Bound_variable_717 ) )
| ~ ( irel @ Y @ Bound_variable_754 )
| ( P @ Bound_variable_754 ) ) ) ) ) )
& ( 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] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) )
& ( 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] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) ) ) )
& ( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) ) ) ) ) )
& ( ixor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( (~)
@ ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( irel @ Y3 @ Y6 ) )
| ( Y0 @ Y6 ) ) ) )
| ( (~) @ ( irel @ Y3 @ Y4 ) )
| ( Y1 @ Y4 ) )
& ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( irel @ Y3 @ Y6 ) )
| ( Y1 @ Y6 ) ) ) )
| ( (~) @ ( irel @ Y3 @ Y5 ) )
| ( Y0 @ Y5 ) ) ) ) ) ) ) ) ) )
& ( 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)],[lcl695_1]) ).
thf(zip_derived_cl47,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] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) )
& ( 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] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) ) ) )
& ( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) ) ) ) ) )
& ( ixor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( (~)
@ ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( irel @ Y3 @ Y6 ) )
| ( Y0 @ Y6 ) ) ) )
| ( (~) @ ( irel @ Y3 @ Y4 ) )
| ( Y1 @ Y4 ) )
& ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( irel @ Y3 @ Y6 ) )
| ( Y1 @ Y6 ) ) ) )
| ( (~) @ ( irel @ Y3 @ Y5 ) )
| ( Y0 @ Y5 ) ) ) ) ) ) ) ) ) )
& ( 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_cl55,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( irel @ Y1 @ Y2 ) )
| ( Y0 @ Y2 ) ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl78,plain,
( mbox_s4
= ( ^ [Y0: $i > $o,Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( irel @ Y1 @ Y2 ) )
| ( Y0 @ Y2 ) ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl55]) ).
thf(zip_derived_cl51,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] : ( (~) @ ( Y0 @ Y1 ) ) ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl74,plain,
( mnot
= ( ^ [Y0: $i > $o,Y1: $i] : ( (~) @ ( Y0 @ Y1 ) ) ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl51]) ).
thf(zip_derived_cl1375,plain,
! [X1: $i > $o,X2: $i] :
( ( mnot @ X1 @ X2 )
= ( ^ [Y0: $i > $o,Y1: $i] : ( (~) @ ( Y0 @ Y1 ) )
@ X1
@ X2 ) ),
inference(ho_complete_eq,[status(thm)],[zip_derived_cl74]) ).
thf(zip_derived_cl1377,plain,
! [X1: $i > $o,X2: $i] :
( ( mnot @ X1 @ X2 )
= ( (~) @ ( X1 @ X2 ) ) ),
inference(ho_norm,[status(thm)],[zip_derived_cl1375]) ).
thf(zip_derived_cl1378,plain,
! [X1: $i > $o,X2: $i] :
( ( mnot @ X1 @ X2 )
!= ( X1 @ X2 ) ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl1377]) ).
thf(zip_derived_cl2732,plain,
! [X0: ( ( $i > $o ) > $i > $o ) > $i,X1: $i > $o] :
( ( mnot @ X1 @ ( X0 @ mbox_s4 ) )
!= ( X1
@ ( X0
@ ^ [Y0: $i > $o,Y1: $i] :
( !!
@ ^ [Y2: $i] :
( ( (~) @ ( irel @ Y1 @ Y2 ) )
| ( Y0 @ Y2 ) ) ) ) ) ),
inference('fluidSup-',[status(thm)],[zip_derived_cl78,zip_derived_cl1378]) ).
thf(zip_derived_cl49,plain,
( !!
@ ^ [Y0: d_unsorted] : ( Y0 = d_unsorted_0 ) ),
inference(lazy_cnf_and,[status(thm)],[zip_derived_cl47]) ).
thf(zip_derived_cl72,plain,
! [X2: d_unsorted] : ( X2 = d_unsorted_0 ),
inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl49]) ).
thf(zip_derived_cl92,plain,
! [X2: d_unsorted] : ( X2 = d_unsorted_0 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl92_001,plain,
! [X2: d_unsorted] : ( X2 = d_unsorted_0 ),
inference('simplify nested equalities',[status(thm)],[zip_derived_cl72]) ).
thf(zip_derived_cl111,plain,
! [X0: d_unsorted,X1: d_unsorted] : ( X1 = X0 ),
inference('sup+',[status(thm)],[zip_derived_cl92,zip_derived_cl92]) ).
thf(zip_derived_cl3087,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] :
( ( Y1 @ Y2 )
& ( Y0 @ Y2 ) ) ) )
& ( 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] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) ) ) )
& ( ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y1 @ Y3 ) ) )
| ( (~)
@ ( !!
@ ^ [Y3: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( Y0 @ Y3 ) ) ) ) ) ) ) )
& ( ixor
= ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
( (~)
@ ( !!
@ ^ [Y3: $i] :
( !!
@ ^ [Y4: $i] :
( !!
@ ^ [Y5: $i] :
( ( (~) @ ( irel @ Y2 @ Y3 ) )
| ( ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( irel @ Y3 @ Y6 ) )
| ( Y0 @ Y6 ) ) ) )
| ( (~) @ ( irel @ Y3 @ Y4 ) )
| ( Y1 @ Y4 ) )
& ( ( (~)
@ ( !!
@ ^ [Y6: $i] :
( ( (~) @ ( irel @ Y3 @ Y6 ) )
| ( Y1 @ Y6 ) ) ) )
| ( (~) @ ( irel @ Y3 @ Y5 ) )
| ( Y0 @ Y5 ) ) ) ) ) ) ) ) ) )
& ( 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)],[lcl695_1]) ).
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_cl3088,plain,
$false,
inference(eprover,[status(thm)],[zip_derived_cl2732,zip_derived_cl111,zip_derived_cl3087,zip_derived_cl1]) ).
%------------------------------------------------------------------------------
%----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.boNR2rlUmm true
% 0.15/0.33 % Computer : n007.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue May 5 09:16:38 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
% 0.52/0.64 % Total configuration time : 828
% 0.52/0.64 % Estimated wc time : 1656
% 0.52/0.64 % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.70 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.72 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.53/0.74 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.53/0.75 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.76 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 27.88/4.16 % Solved by lams/15_e_short1.sh.
% 27.88/4.16 % done 90 iterations in 3.370s
% 27.88/4.16 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 27.88/4.16 % SZS output start Refutation
% See solution above
% 27.88/4.16
% 27.88/4.16
% 27.88/4.16 % Terminating...
% 28.70/4.29 % Runner terminated.
% 28.70/4.29 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------