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DT2H2X---1.9.5.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : LCL943^24 : 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 : n011.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 11:35:13 AM UTC 2026

% Result   : CounterSatisfiable 0.12s 0.45s
% Output   : Saturation 0.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL943^24 : 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
% 0.08/0.35  % Computer : n011.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.35  % CPULimit : 300
% 0.08/0.35  % WCLimit  : 300
% 0.08/0.35  % DateTime : Sat Sep  5 05:44:13 UTC 2026
% 0.08/0.35  % CPUTime  : 
% 0.08/0.35  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.38  ---- Original DTF file ---
% 0.12/0.38  thf(spec,logic,$$dhol).
% 0.12/0.38  %------------------------------------------------------------------------------
% 0.12/0.38  % File     : LCL943^24 : TPTP v9.3.1. Released v8.1.0.
% 0.12/0.38  % Domain   : Logic Calculi
% 0.12/0.38  % Problem  : Goedel translation of LCL230+1 (from TPTP-v5.0.0)
% 0.12/0.38  % Version  : [BP13] axioms.
% 0.12/0.38  % English  : 
% 0.12/0.38  
% 0.12/0.38  % Refs     : [RO12]  Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.12/0.38  %          : [BP13]  Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.12/0.38  %          : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.12/0.38  % Source   : [TPTP]
% 0.12/0.38  % Names    : GLC230+1 [QMLTP]
% 0.12/0.38  
% 0.12/0.38  % Status   : Theorem
% 0.12/0.38  % Rating   : 0.17 v9.3.0, 0.11 v9.1.0, 0.12 v9.0.0, 0.20 v8.2.0, 0.31 v8.1.0
% 0.12/0.38  % Syntax   : Number of formulae    :   24 (   9 unt;  14 typ;   8 def)
% 0.12/0.38  %            Number of atoms       :   43 (   8 equ;   0 cnn)
% 0.12/0.38  %            Maximal formula atoms :   24 (   4 avg)
% 0.12/0.38  %            Number of connectives :   48 (   1   ~;   1   |;   2   &;  41   @)
% 0.12/0.38  %                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
% 0.12/0.38  %            Maximal formula depth :   11 (   2 avg)
% 0.12/0.38  %            Number of types       :    2 (   1 usr)
% 0.12/0.38  %            Number of type conns  :   48 (  48   >;   0   *;   0   +;   0  <<)
% 0.12/0.38  %            Number of symbols     :   14 (  13 usr;   1 con; 0-3 aty)
% 0.12/0.38  %            Number of variables   :   23 (  19   ^;   3   !;   1   ?;  23   :)
% 0.12/0.38  % SPC      : TH0_THM_EQU_NAR_NDT
% 0.12/0.38  
% 0.12/0.38  % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.12/0.38  %            version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.12/0.38  %            'modal' embedding, version 1.5.2. Logic specification used:
% 0.12/0.38  %            $modal == [$constants == $rigid,$quantification == $decreasing,
% 0.12/0.38  %            $modalities == $modal_system_S5U].
% 0.12/0.38  %------------------------------------------------------------------------------
% 0.12/0.38  thf(mworld,type,
% 0.12/0.38      mworld: $tType ).
% 0.12/0.38  
% 0.12/0.38  thf(mrel_type,type,
% 0.12/0.38      mrel: mworld > mworld > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(mactual_type,type,
% 0.12/0.38      mactual: mworld ).
% 0.12/0.38  
% 0.12/0.38  thf(mlocal_type,type,
% 0.12/0.38      mlocal: ( mworld > $o ) > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(mlocal_def,definition,
% 0.12/0.38      ( mlocal
% 0.12/0.38      = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.12/0.38  
% 0.12/0.38  thf(mnot_type,type,
% 0.12/0.38      mnot: ( mworld > $o ) > mworld > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(mand_type,type,
% 0.12/0.38      mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(mor_type,type,
% 0.12/0.38      mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(mimplies_type,type,
% 0.12/0.38      mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(mequiv_type,type,
% 0.12/0.38      mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(mnot_def,definition,
% 0.12/0.38      ( mnot
% 0.12/0.38      = ( ^ [A: mworld > $o,W: mworld] :
% 0.12/0.38            ~ ( A @ W ) ) ) ).
% 0.12/0.38  
% 0.12/0.38  thf(mand_def,definition,
% 0.12/0.38      ( mand
% 0.12/0.38      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.12/0.38            ( ( A @ W )
% 0.12/0.38            & ( B @ W ) ) ) ) ).
% 0.12/0.38  
% 0.12/0.38  thf(mor_def,definition,
% 0.12/0.38      ( mor
% 0.12/0.38      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.12/0.38            ( ( A @ W )
% 0.12/0.38            | ( B @ W ) ) ) ) ).
% 0.12/0.38  
% 0.12/0.38  thf(mimplies_def,definition,
% 0.12/0.38      ( mimplies
% 0.12/0.38      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.12/0.38            ( ( A @ W )
% 0.12/0.38           => ( B @ W ) ) ) ) ).
% 0.12/0.38  
% 0.12/0.38  thf(mequiv_def,definition,
% 0.12/0.38      ( mequiv
% 0.12/0.38      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.12/0.38            ( ( A @ W )
% 0.12/0.38          <=> ( B @ W ) ) ) ) ).
% 0.12/0.38  
% 0.12/0.38  thf(mbox_type,type,
% 0.12/0.38      mbox: ( mworld > $o ) > mworld > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(mbox_def,definition,
% 0.12/0.38      ( mbox
% 0.12/0.38      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.12/0.38          ! [V: mworld] :
% 0.12/0.38            ( ( mrel @ W @ V )
% 0.12/0.38           => ( Phi @ V ) ) ) ) ).
% 0.12/0.38  
% 0.12/0.38  thf(mdia_type,type,
% 0.12/0.38      mdia: ( mworld > $o ) > mworld > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(mdia_def,definition,
% 0.12/0.38      ( mdia
% 0.12/0.38      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.12/0.38          ? [V: mworld] :
% 0.12/0.38            ( ( mrel @ W @ V )
% 0.12/0.38            & ( Phi @ V ) ) ) ) ).
% 0.12/0.38  
% 0.12/0.38  thf(mrel_universal,axiom,
% 0.12/0.38      ! [W: mworld,V: mworld] : ( mrel @ W @ V ) ).
% 0.12/0.38  
% 0.12/0.38  %%% This output was generated by tptputils, version 1.2.
% 0.12/0.38  %%% Generated on Wed Apr 27 15:28:35 CEST 2022 using command 'downgrade(tff)'.
% 0.12/0.38  thf(p_decl,type,
% 0.12/0.38      p: mworld > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(q_decl,type,
% 0.12/0.38      q: mworld > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(r_decl,type,
% 0.12/0.38      r: mworld > $o ).
% 0.12/0.38  
% 0.12/0.38  thf(pel5,conjecture,
% 0.12/0.38      mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ r ) ) ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ r ) ) ) ) ) ) ).
% 0.12/0.38  
% 0.12/0.38  %------------------------------------------------------------------------------
% 0.12/0.38  ------------------------
% 0.12/0.38  /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.12/0.39  ---- Embedded in THF ---
% 0.12/0.39  ------------------------
% 0.12/0.41  ---- Cleaned THF ---
% 0.12/0.41  ------------------------
% 0.12/0.44  % (534392)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_534374 for (2999ds/27Mi)
% 0.12/0.44  % (534392)Refutation not found, incomplete strategy
% 0.12/0.44  % (534392)------------------------------
% 0.12/0.44  % (534392)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.12/0.44  % (534392)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.44  
% 0.12/0.44  
% 0.12/0.44  % (534392)Memory used [KB]: 5373
% 0.12/0.44  % (534392)Time elapsed: 0.002 s
% 0.12/0.44  % (534392)Instructions burned: 1 (million)
% 0.12/0.44  % (534392)------------------------------
% 0.12/0.44  % (534392)------------------------------
% 0.12/0.44  % (534390)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_534374 for (2999ds/183Mi)
% 0.12/0.44  % (534391)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_534374 for (2999ds/4Mi)
% 0.12/0.44  % (534390)First to succeed.
% 0.12/0.44  % (534393)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_534374 for (2999ds/2Mi)
% 0.12/0.45  % (534391)Also succeeded, but the first one will report.
% 0.12/0.45  % (534395)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_534374 for (2999ds/275Mi)
% 0.12/0.45  % (534396)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_534374 for (2999ds/18Mi)
% 0.12/0.45  % (534395)Refutation not found, incomplete strategy
% 0.12/0.45  % (534395)------------------------------
% 0.12/0.45  % (534395)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.12/0.45  % (534395)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.45  
% 0.12/0.45  
% 0.12/0.45  % (534395)Memory used [KB]: 5373
% 0.12/0.45  % (534395)Time elapsed: 0.003 s
% 0.12/0.45  % (534395)Instructions burned: 1 (million)
% 0.12/0.45  % (534395)------------------------------
% 0.12/0.45  % (534395)------------------------------
% 0.12/0.45  % SZS status Satisfiable for DTF2THF_534374
% 0.12/0.45  % (534390)# SZS output start Saturation.
% 0.12/0.45  % (534390)# SZS output end Saturation.
% 0.12/0.45  % (534390)------------------------------
% 0.12/0.45  % (534390)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.12/0.45  % (534390)Termination reason: Satisfiable
% 0.12/0.45  
% 0.12/0.45  % (534390)Memory used [KB]: 5373
% 0.12/0.45  % (534390)Time elapsed: 0.003 s
% 0.12/0.45  % (534390)------------------------------
% 0.12/0.45  % (534390)------------------------------
% 0.12/0.45  % (534389)Success in time 0.019 s
%------------------------------------------------------------------------------