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DT2H2X---1.9.5.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : LCL966^9 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 11:35:17 AM UTC 2026

% Result   : CounterSatisfiable 0.14s 0.44s
% Output   : Saturation 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL966^9 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.35  % Computer : n002.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Fri Sep  4 14:10:50 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.38  ---- Original DTF file ---
% 0.14/0.38  thf(spec,logic,$$dhol).
% 0.14/0.38  %------------------------------------------------------------------------------
% 0.14/0.38  % File     : LCL966^9 : TPTP v9.3.1. Released v8.1.0.
% 0.14/0.38  % Domain   : Logic Calculi
% 0.14/0.38  % Problem  : Goedel translation of SET917+1 (from TPTP-v5.0.0)
% 0.14/0.38  % Version  : [BP13] axioms.
% 0.14/0.38  % English  : 
% 0.14/0.38  
% 0.14/0.38  % Refs     : [RO12]  Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.14/0.38  %          : [BP13]  Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.14/0.38  %          : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.14/0.38  % Source   : [TPTP]
% 0.14/0.38  % Names    : GSE917+1 [QMLTP]
% 0.14/0.38  
% 0.14/0.38  % Status   : CounterSatisfiable
% 0.14/0.38  % Rating   : 0.67 v9.3.0, 1.00 v9.0.0, 0.75 v8.2.0, 1.00 v8.1.0
% 0.14/0.38  % Syntax   : Number of formulae    :   52 (  12 unt;  20 typ;  10 def)
% 0.14/0.38  %            Number of atoms       :  255 (  10 equ;   0 cnn)
% 0.14/0.38  %            Maximal formula atoms :   16 (   7 avg)
% 0.14/0.38  %            Number of connectives :  350 (   1   ~;   1   |;   3   &; 341   @)
% 0.14/0.38  %                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
% 0.14/0.38  %            Maximal formula depth :   19 (  10 avg)
% 0.14/0.38  %            Number of types       :    3 (   1 usr)
% 0.14/0.38  %            Number of type conns  :   73 (  73   >;   0   *;   0   +;   0  <<)
% 0.14/0.38  %            Number of symbols     :   20 (  19 usr;   1 con; 0-3 aty)
% 0.14/0.38  %            Number of variables   :   75 (  67   ^;   4   !;   4   ?;  75   :)
% 0.14/0.38  % SPC      : TH0_CSA_EQU_NAR_NDT
% 0.14/0.38  
% 0.14/0.38  % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.14/0.38  %            version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.14/0.38  %            'modal' embedding, version 1.5.2. Logic specification used:
% 0.14/0.38  %            $modal == [$constants == $rigid,$quantification == $varying,
% 0.14/0.38  %            $modalities == $modal_system_D].
% 0.14/0.38  %------------------------------------------------------------------------------
% 0.14/0.38  thf(mworld,type,
% 0.14/0.38      mworld: $tType ).
% 0.14/0.38  
% 0.14/0.38  thf(mrel_type,type,
% 0.14/0.38      mrel: mworld > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(mactual_type,type,
% 0.14/0.38      mactual: mworld ).
% 0.14/0.38  
% 0.14/0.38  thf(mlocal_type,type,
% 0.14/0.38      mlocal: ( mworld > $o ) > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(mlocal_def,definition,
% 0.14/0.38      ( mlocal
% 0.14/0.38      = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(mnot_type,type,
% 0.14/0.38      mnot: ( mworld > $o ) > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(mand_type,type,
% 0.14/0.38      mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(mor_type,type,
% 0.14/0.38      mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(mimplies_type,type,
% 0.14/0.38      mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(mequiv_type,type,
% 0.14/0.38      mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(mnot_def,definition,
% 0.14/0.38      ( mnot
% 0.14/0.38      = ( ^ [A: mworld > $o,W: mworld] :
% 0.14/0.38            ~ ( A @ W ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(mand_def,definition,
% 0.14/0.38      ( mand
% 0.14/0.38      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.14/0.38            ( ( A @ W )
% 0.14/0.38            & ( B @ W ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(mor_def,definition,
% 0.14/0.38      ( mor
% 0.14/0.38      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.14/0.38            ( ( A @ W )
% 0.14/0.38            | ( B @ W ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(mimplies_def,definition,
% 0.14/0.38      ( mimplies
% 0.14/0.38      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.14/0.38            ( ( A @ W )
% 0.14/0.38           => ( B @ W ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(mequiv_def,definition,
% 0.14/0.38      ( mequiv
% 0.14/0.38      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.14/0.38            ( ( A @ W )
% 0.14/0.38          <=> ( B @ W ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(mbox_type,type,
% 0.14/0.38      mbox: ( mworld > $o ) > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(mbox_def,definition,
% 0.14/0.38      ( mbox
% 0.14/0.38      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.14/0.38          ! [V: mworld] :
% 0.14/0.38            ( ( mrel @ W @ V )
% 0.14/0.38           => ( Phi @ V ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(mdia_type,type,
% 0.14/0.38      mdia: ( mworld > $o ) > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(mdia_def,definition,
% 0.14/0.38      ( mdia
% 0.14/0.38      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.14/0.38          ? [V: mworld] :
% 0.14/0.38            ( ( mrel @ W @ V )
% 0.14/0.38            & ( Phi @ V ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(mrel_serial,axiom,
% 0.14/0.38      ! [W: mworld] :
% 0.14/0.38      ? [V: mworld] : ( mrel @ W @ V ) ).
% 0.14/0.38  
% 0.14/0.38  thf(eiw_di_type,type,
% 0.14/0.38      eiw_di: $i > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(eiw_di_nonempty,axiom,
% 0.14/0.38      ! [W: mworld] :
% 0.14/0.38      ? [X: $i] : ( eiw_di @ X @ W ) ).
% 0.14/0.38  
% 0.14/0.38  thf(mforall_di_type,type,
% 0.14/0.38      mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(mforall_di_def,definition,
% 0.14/0.38      ( mforall_di
% 0.14/0.38      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.14/0.38          ! [X: $i] :
% 0.14/0.38            ( ( eiw_di @ X @ W )
% 0.14/0.38           => ( A @ X @ W ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(mexists_di_type,type,
% 0.14/0.38      mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(mexists_di_def,definition,
% 0.14/0.38      ( mexists_di
% 0.14/0.38      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.14/0.38          ? [X: $i] :
% 0.14/0.38            ( ( eiw_di @ X @ W )
% 0.14/0.38            & ( A @ X @ W ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(qmltpeq_decl,type,
% 0.14/0.38      qmltpeq: $i > $i > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(in_decl,type,
% 0.14/0.38      in: $i > $i > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(disjoint_decl,type,
% 0.14/0.38      disjoint: $i > $i > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(empty_decl,type,
% 0.14/0.38      empty: $i > mworld > $o ).
% 0.14/0.38  
% 0.14/0.38  thf(set_intersection2_decl,type,
% 0.14/0.38      set_intersection2: $i > $i > $i ).
% 0.14/0.38  
% 0.14/0.38  thf(singleton_decl,type,
% 0.14/0.38      singleton: $i > $i ).
% 0.14/0.38  
% 0.14/0.38  thf(reflexivity,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [X: $i] : ( mbox @ ( qmltpeq @ X @ X ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(symmetry,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [X: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [Y: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ X ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(transitivity,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [X: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [Y: $i] :
% 0.14/0.38                    ( mbox
% 0.14/0.38                    @ ( mforall_di
% 0.14/0.38                      @ ^ [Z: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ X @ Y ) ) @ ( mbox @ ( qmltpeq @ Y @ Z ) ) ) @ ( mbox @ ( qmltpeq @ X @ Z ) ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(set_intersection2_substitution_1,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] :
% 0.14/0.38                    ( mbox
% 0.14/0.38                    @ ( mforall_di
% 0.14/0.38                      @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ C ) @ ( set_intersection2 @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(set_intersection2_substitution_2,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] :
% 0.14/0.38                    ( mbox
% 0.14/0.38                    @ ( mforall_di
% 0.14/0.38                      @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ C @ A ) @ ( set_intersection2 @ C @ B ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(singleton_substitution_1,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( singleton @ A ) @ ( singleton @ B ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(disjoint_substitution_1,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] :
% 0.14/0.38                    ( mbox
% 0.14/0.38                    @ ( mforall_di
% 0.14/0.38                      @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( disjoint @ A @ C ) ) ) @ ( mbox @ ( disjoint @ B @ C ) ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(disjoint_substitution_2,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] :
% 0.14/0.38                    ( mbox
% 0.14/0.38                    @ ( mforall_di
% 0.14/0.38                      @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( disjoint @ C @ A ) ) ) @ ( mbox @ ( disjoint @ C @ B ) ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(empty_substitution_1,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( empty @ A ) ) ) @ ( mbox @ ( empty @ B ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(in_substitution_1,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] :
% 0.14/0.38                    ( mbox
% 0.14/0.38                    @ ( mforall_di
% 0.14/0.38                      @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( in @ A @ C ) ) ) @ ( mbox @ ( in @ B @ C ) ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(in_substitution_2,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] :
% 0.14/0.38                    ( mbox
% 0.14/0.38                    @ ( mforall_di
% 0.14/0.38                      @ ^ [C: $i] : ( mbox @ ( mimplies @ ( mand @ ( mbox @ ( qmltpeq @ A @ B ) ) @ ( mbox @ ( in @ C @ A ) ) ) @ ( mbox @ ( in @ C @ B ) ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(antisymmetry_r2_hidden,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( in @ A @ B ) ) @ ( mbox @ ( mnot @ ( mbox @ ( in @ B @ A ) ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(commutativity_k3_xboole_0,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ B ) @ ( set_intersection2 @ B @ A ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(idempotence_k3_xboole_0,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] : ( mbox @ ( qmltpeq @ ( set_intersection2 @ A @ A ) @ A ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(l28_zfmisc_1,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( mnot @ ( mbox @ ( in @ A @ B ) ) ) ) @ ( mbox @ ( disjoint @ ( singleton @ A ) @ B ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(l32_zfmisc_1,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( in @ A @ B ) ) @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ B @ ( singleton @ A ) ) @ ( singleton @ A ) ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(rc1_xboole_0,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mexists_di
% 0.14/0.38        @ ^ [A: $i] : ( mbox @ ( empty @ A ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(rc2_xboole_0,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mexists_di
% 0.14/0.38        @ ^ [A: $i] : ( mbox @ ( mnot @ ( mbox @ ( empty @ A ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(symmetry_r1_xboole_0,axiom,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] : ( mbox @ ( mimplies @ ( mbox @ ( disjoint @ A @ B ) ) @ ( mbox @ ( disjoint @ B @ A ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  thf(t58_zfmisc_1,conjecture,
% 0.14/0.38      ( mlocal
% 0.14/0.38      @ ( mbox
% 0.14/0.38        @ ( mforall_di
% 0.14/0.38          @ ^ [A: $i] :
% 0.14/0.38              ( mbox
% 0.14/0.38              @ ( mforall_di
% 0.14/0.38                @ ^ [B: $i] : ( mor @ ( mbox @ ( disjoint @ ( singleton @ A ) @ B ) ) @ ( mbox @ ( qmltpeq @ ( set_intersection2 @ ( singleton @ A ) @ B ) @ ( singleton @ A ) ) ) ) ) ) ) ) ) ).
% 0.14/0.38  
% 0.14/0.38  %------------------------------------------------------------------------------
% 0.14/0.38  ------------------------
% 0.14/0.38  /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.14/0.39  ---- Embedded in THF ---
% 0.14/0.39  ------------------------
% 0.14/0.41  ---- Cleaned THF ---
% 0.14/0.41  ------------------------
% 0.14/0.44  % (1786259)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_1786242 for (2999ds/4Mi)
% 0.14/0.44  % (1786259)First to succeed.
% 0.14/0.44  % SZS status Satisfiable for DTF2THF_1786242
% 0.14/0.44  % (1786259)# SZS output start Saturation.
% 0.14/0.44  % (1786259)# SZS output end Saturation.
% 0.14/0.44  % (1786259)------------------------------
% 0.14/0.44  % (1786259)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.44  % (1786259)Termination reason: Satisfiable
% 0.14/0.44  
% 0.14/0.44  % (1786259)Memory used [KB]: 5373
% 0.14/0.44  % (1786259)Time elapsed: 0.002 s
% 0.14/0.44  % (1786259)Instructions burned: 1 (million)
% 0.14/0.44  % (1786259)------------------------------
% 0.14/0.44  % (1786259)------------------------------
% 0.14/0.44  % (1786257)Success in time 0.011 s
%------------------------------------------------------------------------------