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DT2H2X---1.9.5.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : LCL961^1 : 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 : n019.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 11:35:16 AM UTC 2026

% Result   : CounterSatisfiable 0.19s 0.46s
% Output   : Saturation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL961^1 : 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
% 0.09/0.36  % Computer : n019.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Fri Sep  4 19:43:23 UTC 2026
% 0.09/0.37  % CPUTime  : 
% 0.09/0.37  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.39  ---- Original DTF file ---
% 0.09/0.39  thf(spec,logic,$$dhol).
% 0.09/0.39  %------------------------------------------------------------------------------
% 0.09/0.39  % File     : LCL961^1 : TPTP v9.3.1. Released v8.1.0.
% 0.09/0.39  % Domain   : Logic Calculi
% 0.09/0.39  % Problem  : Goedel translation of SYN416+1 (from TPTP-v5.0.0)
% 0.09/0.39  % Version  : [BP13] axioms.
% 0.09/0.39  % English  : 
% 0.09/0.39  
% 0.09/0.39  % Refs     : [RO12]  Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.09/0.39  %          : [BP13]  Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.09/0.39  %          : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.09/0.39  % Source   : [TPTP]
% 0.09/0.39  % Names    : GSY416+1 [QMLTP]
% 0.09/0.39  
% 0.09/0.39  % Status   : CounterSatisfiable
% 0.09/0.39  % Rating   : 0.00 v8.2.0, 0.25 v8.1.0
% 0.09/0.39  % Syntax   : Number of formulae    :   22 (   8 unt;  13 typ;   8 def)
% 0.09/0.39  %            Number of atoms       :   32 (   8 equ;   0 cnn)
% 0.09/0.39  %            Maximal formula atoms :   14 (   3 avg)
% 0.09/0.39  %            Number of connectives :   36 (   1   ~;   1   |;   2   &;  29   @)
% 0.09/0.39  %                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
% 0.09/0.39  %            Maximal formula depth :    8 (   2 avg)
% 0.09/0.39  %            Number of types       :    2 (   1 usr)
% 0.09/0.39  %            Number of type conns  :   47 (  47   >;   0   *;   0   +;   0  <<)
% 0.09/0.39  %            Number of symbols     :   13 (  12 usr;   1 con; 0-3 aty)
% 0.09/0.39  %            Number of variables   :   21 (  19   ^;   1   !;   1   ?;  21   :)
% 0.09/0.39  % SPC      : TH0_CSA_EQU_NAR_NDT
% 0.09/0.39  
% 0.09/0.39  % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.09/0.39  %            version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.09/0.39  %            'modal' embedding, version 1.5.2. Logic specification used:
% 0.09/0.39  %            $modal == [$constants == $rigid,$quantification == $constant,
% 0.09/0.39  %            $modalities == $modal_system_K].
% 0.09/0.39  %------------------------------------------------------------------------------
% 0.09/0.39  thf(mworld,type,
% 0.09/0.39      mworld: $tType ).
% 0.09/0.39  
% 0.09/0.39  thf(mrel_type,type,
% 0.09/0.39      mrel: mworld > mworld > $o ).
% 0.09/0.39  
% 0.09/0.39  thf(mactual_type,type,
% 0.09/0.39      mactual: mworld ).
% 0.09/0.39  
% 0.09/0.39  thf(mlocal_type,type,
% 0.09/0.39      mlocal: ( mworld > $o ) > $o ).
% 0.09/0.39  
% 0.09/0.39  thf(mlocal_def,definition,
% 0.09/0.39      ( mlocal
% 0.09/0.39      = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.09/0.39  
% 0.09/0.39  thf(mnot_type,type,
% 0.09/0.39      mnot: ( mworld > $o ) > mworld > $o ).
% 0.09/0.39  
% 0.09/0.39  thf(mand_type,type,
% 0.09/0.39      mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.09/0.39  
% 0.09/0.39  thf(mor_type,type,
% 0.09/0.39      mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.09/0.39  
% 0.09/0.39  thf(mimplies_type,type,
% 0.09/0.39      mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.09/0.39  
% 0.09/0.39  thf(mequiv_type,type,
% 0.09/0.39      mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.09/0.39  
% 0.09/0.39  thf(mnot_def,definition,
% 0.09/0.39      ( mnot
% 0.09/0.39      = ( ^ [A: mworld > $o,W: mworld] :
% 0.09/0.39            ~ ( A @ W ) ) ) ).
% 0.09/0.39  
% 0.09/0.39  thf(mand_def,definition,
% 0.09/0.39      ( mand
% 0.09/0.39      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.09/0.39            ( ( A @ W )
% 0.09/0.39            & ( B @ W ) ) ) ) ).
% 0.09/0.39  
% 0.09/0.39  thf(mor_def,definition,
% 0.09/0.39      ( mor
% 0.09/0.39      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.09/0.39            ( ( A @ W )
% 0.09/0.39            | ( B @ W ) ) ) ) ).
% 0.09/0.39  
% 0.09/0.39  thf(mimplies_def,definition,
% 0.09/0.39      ( mimplies
% 0.09/0.39      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.09/0.39            ( ( A @ W )
% 0.09/0.39           => ( B @ W ) ) ) ) ).
% 0.09/0.39  
% 0.09/0.39  thf(mequiv_def,definition,
% 0.09/0.39      ( mequiv
% 0.09/0.39      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.09/0.39            ( ( A @ W )
% 0.09/0.39          <=> ( B @ W ) ) ) ) ).
% 0.09/0.39  
% 0.09/0.39  thf(mbox_type,type,
% 0.09/0.39      mbox: ( mworld > $o ) > mworld > $o ).
% 0.09/0.39  
% 0.09/0.39  thf(mbox_def,definition,
% 0.09/0.39      ( mbox
% 0.09/0.39      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.09/0.39          ! [V: mworld] :
% 0.09/0.39            ( ( mrel @ W @ V )
% 0.09/0.39           => ( Phi @ V ) ) ) ) ).
% 0.09/0.39  
% 0.09/0.39  thf(mdia_type,type,
% 0.09/0.39      mdia: ( mworld > $o ) > mworld > $o ).
% 0.09/0.39  
% 0.09/0.39  thf(mdia_def,definition,
% 0.09/0.39      ( mdia
% 0.09/0.39      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.09/0.39          ? [V: mworld] :
% 0.09/0.39            ( ( mrel @ W @ V )
% 0.09/0.39            & ( Phi @ V ) ) ) ) ).
% 0.09/0.39  
% 0.09/0.39  thf(p_decl,type,
% 0.09/0.39      p: mworld > $o ).
% 0.09/0.39  
% 0.09/0.39  thf(q_decl,type,
% 0.09/0.39      q: mworld > $o ).
% 0.09/0.39  
% 0.09/0.39  thf(pel16,conjecture,
% 0.09/0.39      mlocal @ ( mor @ ( mbox @ ( mimplies @ ( mbox @ p ) @ ( mbox @ q ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ p ) ) ) ) ).
% 0.09/0.39  
% 0.09/0.39  %------------------------------------------------------------------------------
% 0.09/0.39  ------------------------
% 0.09/0.39  /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.09/0.39  ---- Embedded in THF ---
% 0.09/0.40  ------------------------
% 0.09/0.42  ---- Cleaned THF ---
% 0.09/0.42  ------------------------
% 0.09/0.45  % (1216199)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_1216179 for (2999ds/2Mi)
% 0.09/0.45  % (1216199)Refutation not found, incomplete strategy
% 0.09/0.45  % (1216199)------------------------------
% 0.09/0.45  % (1216199)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.09/0.45  % (1216199)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.45  
% 0.09/0.45  
% 0.09/0.45  % (1216199)Memory used [KB]: 5373
% 0.09/0.45  % (1216199)Time elapsed: 0.001 s
% 0.09/0.45  % (1216199)------------------------------
% 0.09/0.45  % (1216199)------------------------------
% 0.09/0.46  % (1216195)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1216179 for (2999ds/183Mi)
% 0.09/0.46  % (1216196)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_1216179 for (2999ds/4Mi)
% 0.09/0.46  % (1216197)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_1216179 for (2999ds/27Mi)
% 0.09/0.46  % (1216198)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1216179 for (2999ds/2Mi)
% 0.09/0.46  % (1216196)First to succeed.
% 0.09/0.46  % (1216197)Refutation not found, incomplete strategy
% 0.09/0.46  % (1216197)------------------------------
% 0.09/0.46  % (1216197)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.09/0.46  % (1216197)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.46  
% 0.09/0.46  
% 0.09/0.46  % (1216197)Memory used [KB]: 5373
% 0.09/0.46  % (1216197)Time elapsed: 0.003 s
% 0.09/0.46  % (1216197)Instructions burned: 1 (million)
% 0.09/0.46  % (1216197)------------------------------
% 0.09/0.46  % (1216197)------------------------------
% 0.09/0.46  % (1216200)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_1216179 for (2999ds/275Mi)
% 0.09/0.46  % (1216195)Also succeeded, but the first one will report.
% 0.09/0.46  % (1216200)Refutation not found, incomplete strategy
% 0.09/0.46  % (1216200)------------------------------
% 0.09/0.46  % (1216200)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.09/0.46  % (1216200)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.46  
% 0.09/0.46  
% 0.09/0.46  % (1216200)Memory used [KB]: 5373
% 0.09/0.46  % (1216200)Time elapsed: 0.003 s
% 0.09/0.46  % (1216200)Instructions burned: 1 (million)
% 0.09/0.46  % (1216200)------------------------------
% 0.09/0.46  % (1216200)------------------------------
% 0.19/0.46  % (1216198)Also succeeded, but the first one will report.
% 0.19/0.46  % SZS status Satisfiable for DTF2THF_1216179
% 0.19/0.46  % (1216196)# SZS output start Saturation.
% 0.19/0.46  % (1216196)# SZS output end Saturation.
% 0.19/0.46  % (1216196)------------------------------
% 0.19/0.46  % (1216196)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.19/0.46  % (1216196)Termination reason: Satisfiable
% 0.19/0.46  
% 0.19/0.46  % (1216196)Memory used [KB]: 5373
% 0.19/0.46  % (1216196)Time elapsed: 0.003 s
% 0.19/0.46  % (1216196)Instructions burned: 1 (million)
% 0.19/0.46  % (1216196)------------------------------
% 0.19/0.46  % (1216196)------------------------------
% 0.19/0.46  % (1216194)Success in time 0.018 s
%------------------------------------------------------------------------------