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DT2H2X---1.9.5.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : LCL945^9 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n010.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 11:35:14 AM UTC 2026

% Result   : CounterSatisfiable 0.13s 0.44s
% Output   : Saturation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : LCL945^9 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.34  % Computer : n010.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8046.5625MB
% 0.10/0.34  % OS       : Linux 6.8.0-71-generic
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Fri Sep  4 19:10:08 UTC 2026
% 0.10/0.34  % CPUTime  : 
% 0.10/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.36  ---- Original DTF file ---
% 0.13/0.37  thf(spec,logic,$$dhol).
% 0.13/0.37  %------------------------------------------------------------------------------
% 0.13/0.37  % File     : LCL945^9 : TPTP v9.3.1. Released v8.1.0.
% 0.13/0.37  % Domain   : Logic Calculi
% 0.13/0.37  % Problem  : Goedel translation of NLP001+1 (from TPTP-v5.0.0)
% 0.13/0.37  % Version  : [BP13] axioms.
% 0.13/0.37  % English  : 
% 0.13/0.37  
% 0.13/0.37  % Refs     : [RO12]  Raths & Otten (2012), The QMLTP Problem Library for Fi
% 0.13/0.37  %          : [BP13]  Benzmueller & Paulson (2013), Quantified Multimodal Lo
% 0.13/0.37  %          : [Ste22] Steen (2022), An Extensible Logic Embedding Tool for L
% 0.13/0.37  % Source   : [TPTP]
% 0.13/0.37  % Names    : GNL001+1 [QMLTP]
% 0.13/0.37  
% 0.13/0.37  % Status   : Theorem 
% 0.13/0.37  % Rating   : 0.42 v9.3.0, 0.22 v9.1.0, 0.25 v9.0.0, 0.40 v8.2.0, 0.46 v8.1.0
% 0.13/0.37  % Syntax   : Number of formulae    :   41 (  12 unt;  28 typ;  10 def)
% 0.13/0.37  %            Number of atoms       :  212 (  10 equ;   0 cnn)
% 0.13/0.37  %            Maximal formula atoms :  186 (  16 avg)
% 0.13/0.37  %            Number of connectives :  290 (   1   ~;   1   |;   3   &; 281   @)
% 0.13/0.37  %                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
% 0.13/0.37  %            Maximal formula depth :   32 (   4 avg)
% 0.13/0.37  %            Number of types       :    3 (   1 usr)
% 0.13/0.37  %            Number of type conns  :   90 (  90   >;   0   *;   0   +;   0  <<)
% 0.13/0.37  %            Number of symbols     :   28 (  27 usr;   1 con; 0-3 aty)
% 0.13/0.37  %            Number of variables   :   47 (  39   ^;   4   !;   4   ?;  47   :)
% 0.13/0.37  % SPC      : TH0_THM_EQU_NAR_NDT
% 0.13/0.37  
% 0.13/0.37  % Comments : This output was generated by embedproblem, version 1.7.1 (library
% 0.13/0.37  %            version 1.3). Generated on Thu Apr 28 13:18:18 EDT 2022 using
% 0.13/0.37  %            'modal' embedding, version 1.5.2. Logic specification used:
% 0.13/0.37  %            $modal == [$constants == $rigid,$quantification == $varying,
% 0.13/0.37  %            $modalities == $modal_system_D].
% 0.13/0.37  %------------------------------------------------------------------------------
% 0.13/0.37  thf(mworld,type,
% 0.13/0.37      mworld: $tType ).
% 0.13/0.37  
% 0.13/0.37  thf(mrel_type,type,
% 0.13/0.37      mrel: mworld > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(mactual_type,type,
% 0.13/0.37      mactual: mworld ).
% 0.13/0.37  
% 0.13/0.37  thf(mlocal_type,type,
% 0.13/0.37      mlocal: ( mworld > $o ) > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(mlocal_def,definition,
% 0.13/0.37      ( mlocal
% 0.13/0.37      = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).
% 0.13/0.37  
% 0.13/0.37  thf(mnot_type,type,
% 0.13/0.37      mnot: ( mworld > $o ) > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(mand_type,type,
% 0.13/0.37      mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(mor_type,type,
% 0.13/0.37      mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(mimplies_type,type,
% 0.13/0.37      mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(mequiv_type,type,
% 0.13/0.37      mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(mnot_def,definition,
% 0.13/0.37      ( mnot
% 0.13/0.37      = ( ^ [A: mworld > $o,W: mworld] :
% 0.13/0.37            ~ ( A @ W ) ) ) ).
% 0.13/0.37  
% 0.13/0.37  thf(mand_def,definition,
% 0.13/0.37      ( mand
% 0.13/0.37      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.13/0.37            ( ( A @ W )
% 0.13/0.37            & ( B @ W ) ) ) ) ).
% 0.13/0.37  
% 0.13/0.37  thf(mor_def,definition,
% 0.13/0.37      ( mor
% 0.13/0.37      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.13/0.37            ( ( A @ W )
% 0.13/0.37            | ( B @ W ) ) ) ) ).
% 0.13/0.37  
% 0.13/0.37  thf(mimplies_def,definition,
% 0.13/0.37      ( mimplies
% 0.13/0.37      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.13/0.37            ( ( A @ W )
% 0.13/0.37           => ( B @ W ) ) ) ) ).
% 0.13/0.37  
% 0.13/0.37  thf(mequiv_def,definition,
% 0.13/0.37      ( mequiv
% 0.13/0.37      = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
% 0.13/0.37            ( ( A @ W )
% 0.13/0.37          <=> ( B @ W ) ) ) ) ).
% 0.13/0.37  
% 0.13/0.37  thf(mbox_type,type,
% 0.13/0.37      mbox: ( mworld > $o ) > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(mbox_def,definition,
% 0.13/0.37      ( mbox
% 0.13/0.37      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.13/0.37          ! [V: mworld] :
% 0.13/0.37            ( ( mrel @ W @ V )
% 0.13/0.37           => ( Phi @ V ) ) ) ) ).
% 0.13/0.37  
% 0.13/0.37  thf(mdia_type,type,
% 0.13/0.37      mdia: ( mworld > $o ) > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(mdia_def,definition,
% 0.13/0.37      ( mdia
% 0.13/0.37      = ( ^ [Phi: mworld > $o,W: mworld] :
% 0.13/0.37          ? [V: mworld] :
% 0.13/0.37            ( ( mrel @ W @ V )
% 0.13/0.37            & ( Phi @ V ) ) ) ) ).
% 0.13/0.37  
% 0.13/0.37  thf(mrel_serial,axiom,
% 0.13/0.37      ! [W: mworld] :
% 0.13/0.37      ? [V: mworld] : ( mrel @ W @ V ) ).
% 0.13/0.37  
% 0.13/0.37  thf(eiw_di_type,type,
% 0.13/0.37      eiw_di: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(eiw_di_nonempty,axiom,
% 0.13/0.37      ! [W: mworld] :
% 0.13/0.37      ? [X: $i] : ( eiw_di @ X @ W ) ).
% 0.13/0.37  
% 0.13/0.37  thf(mforall_di_type,type,
% 0.13/0.37      mforall_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(mforall_di_def,definition,
% 0.13/0.37      ( mforall_di
% 0.13/0.37      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.13/0.37          ! [X: $i] :
% 0.13/0.37            ( ( eiw_di @ X @ W )
% 0.13/0.37           => ( A @ X @ W ) ) ) ) ).
% 0.13/0.37  
% 0.13/0.37  thf(mexists_di_type,type,
% 0.13/0.37      mexists_di: ( $i > mworld > $o ) > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(mexists_di_def,definition,
% 0.13/0.37      ( mexists_di
% 0.13/0.37      = ( ^ [A: $i > mworld > $o,W: mworld] :
% 0.13/0.37          ? [X: $i] :
% 0.13/0.37            ( ( eiw_di @ X @ W )
% 0.13/0.37            & ( A @ X @ W ) ) ) ) ).
% 0.13/0.37  
% 0.13/0.37  thf(chevy_decl,type,
% 0.13/0.37      chevy: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(dirty_decl,type,
% 0.13/0.37      dirty: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(barrel_decl,type,
% 0.13/0.37      barrel: $i > $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(hollywood_decl,type,
% 0.13/0.37      hollywood: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(city_decl,type,
% 0.13/0.37      city: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(in_decl,type,
% 0.13/0.37      in: $i > $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(old_decl,type,
% 0.13/0.37      old: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(down_decl,type,
% 0.13/0.37      down: $i > $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(way_decl,type,
% 0.13/0.37      way: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(white_decl,type,
% 0.13/0.37      white: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(car_decl,type,
% 0.13/0.37      car: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(street_decl,type,
% 0.13/0.37      street: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(event_decl,type,
% 0.13/0.37      event: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(lonely_decl,type,
% 0.13/0.37      lonely: $i > mworld > $o ).
% 0.13/0.37  
% 0.13/0.37  thf(co1,conjecture,
% 0.13/0.37      ( mlocal
% 0.13/0.37      @ ( mand
% 0.13/0.37        @ ( mbox
% 0.13/0.37          @ ( mimplies
% 0.13/0.37            @ ( mexists_di
% 0.13/0.37              @ ^ [U: $i] :
% 0.13/0.37                  ( mexists_di
% 0.13/0.37                  @ ^ [V: $i] :
% 0.13/0.37                      ( mexists_di
% 0.13/0.37                      @ ^ [W: $i] :
% 0.13/0.37                          ( mexists_di
% 0.13/0.37                          @ ^ [X: $i] : ( mand @ ( mbox @ ( hollywood @ U ) ) @ ( mand @ ( mbox @ ( city @ U ) ) @ ( mand @ ( mbox @ ( event @ V ) ) @ ( mand @ ( mbox @ ( street @ W ) ) @ ( mand @ ( mbox @ ( way @ W ) ) @ ( mand @ ( mbox @ ( lonely @ W ) ) @ ( mand @ ( mbox @ ( chevy @ X ) ) @ ( mand @ ( mbox @ ( car @ X ) ) @ ( mand @ ( mbox @ ( white @ X ) ) @ ( mand @ ( mbox @ ( dirty @ X ) ) @ ( mand @ ( mbox @ ( old @ X ) ) @ ( mand @ ( mbox @ ( barrel @ V @ X ) ) @ ( mand @ ( mbox @ ( down @ V @ W ) ) @ ( mbox @ ( in @ V @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.13/0.37            @ ( mexists_di
% 0.13/0.37              @ ^ [Y: $i] :
% 0.13/0.37                  ( mexists_di
% 0.13/0.37                  @ ^ [Z: $i] :
% 0.13/0.37                      ( mexists_di
% 0.13/0.37                      @ ^ [X1: $i] :
% 0.13/0.37                          ( mexists_di
% 0.13/0.37                          @ ^ [X2: $i] : ( mand @ ( mbox @ ( hollywood @ Y ) ) @ ( mand @ ( mbox @ ( city @ Y ) ) @ ( mand @ ( mbox @ ( event @ Z ) ) @ ( mand @ ( mbox @ ( chevy @ X1 ) ) @ ( mand @ ( mbox @ ( car @ X1 ) ) @ ( mand @ ( mbox @ ( white @ X1 ) ) @ ( mand @ ( mbox @ ( dirty @ X1 ) ) @ ( mand @ ( mbox @ ( old @ X1 ) ) @ ( mand @ ( mbox @ ( street @ X2 ) ) @ ( mand @ ( mbox @ ( way @ X2 ) ) @ ( mand @ ( mbox @ ( lonely @ X2 ) ) @ ( mand @ ( mbox @ ( barrel @ Z @ X1 ) ) @ ( mand @ ( mbox @ ( down @ Z @ X2 ) ) @ ( mbox @ ( in @ Z @ Y ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.13/0.37        @ ( mbox
% 0.13/0.37          @ ( mimplies
% 0.13/0.37            @ ( mexists_di
% 0.13/0.37              @ ^ [X3: $i] :
% 0.13/0.37                  ( mexists_di
% 0.13/0.37                  @ ^ [X4: $i] :
% 0.13/0.37                      ( mexists_di
% 0.13/0.37                      @ ^ [X5: $i] :
% 0.13/0.37                          ( mexists_di
% 0.13/0.37                          @ ^ [X6: $i] : ( mand @ ( mbox @ ( hollywood @ X3 ) ) @ ( mand @ ( mbox @ ( city @ X3 ) ) @ ( mand @ ( mbox @ ( event @ X4 ) ) @ ( mand @ ( mbox @ ( chevy @ X5 ) ) @ ( mand @ ( mbox @ ( car @ X5 ) ) @ ( mand @ ( mbox @ ( white @ X5 ) ) @ ( mand @ ( mbox @ ( dirty @ X5 ) ) @ ( mand @ ( mbox @ ( old @ X5 ) ) @ ( mand @ ( mbox @ ( street @ X6 ) ) @ ( mand @ ( mbox @ ( way @ X6 ) ) @ ( mand @ ( mbox @ ( lonely @ X6 ) ) @ ( mand @ ( mbox @ ( barrel @ X4 @ X5 ) ) @ ( mand @ ( mbox @ ( down @ X4 @ X6 ) ) @ ( mbox @ ( in @ X4 @ X3 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
% 0.13/0.37            @ ( mexists_di
% 0.13/0.37              @ ^ [X7: $i] :
% 0.13/0.37                  ( mexists_di
% 0.13/0.37                  @ ^ [X8: $i] :
% 0.13/0.37                      ( mexists_di
% 0.13/0.37                      @ ^ [X9: $i] :
% 0.13/0.37                          ( mexists_di
% 0.13/0.37                          @ ^ [X10: $i] : ( mand @ ( mbox @ ( hollywood @ X7 ) ) @ ( mand @ ( mbox @ ( city @ X7 ) ) @ ( mand @ ( mbox @ ( event @ X8 ) ) @ ( mand @ ( mbox @ ( street @ X9 ) ) @ ( mand @ ( mbox @ ( way @ X9 ) ) @ ( mand @ ( mbox @ ( lonely @ X9 ) ) @ ( mand @ ( mbox @ ( chevy @ X10 ) ) @ ( mand @ ( mbox @ ( car @ X10 ) ) @ ( mand @ ( mbox @ ( white @ X10 ) ) @ ( mand @ ( mbox @ ( dirty @ X10 ) ) @ ( mand @ ( mbox @ ( old @ X10 ) ) @ ( mand @ ( mbox @ ( barrel @ X8 @ X10 ) ) @ ( mand @ ( mbox @ ( down @ X8 @ X9 ) ) @ ( mbox @ ( in @ X8 @ X7 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
% 0.13/0.37  
% 0.13/0.37  %------------------------------------------------------------------------------
% 0.13/0.37  ------------------------
% 0.13/0.37  /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.13/0.37  ---- Embedded in THF ---
% 0.13/0.37  ------------------------
% 0.13/0.39  ---- Cleaned THF ---
% 0.13/0.39  ------------------------
% 0.13/0.43  % (4118901)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_4118880 for (3000ds/275Mi)
% 0.13/0.43  % (4118901)Refutation not found, incomplete strategy
% 0.13/0.43  % (4118901)------------------------------
% 0.13/0.43  % (4118901)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.43  % (4118901)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.43  
% 0.13/0.43  
% 0.13/0.43  % (4118901)Memory used [KB]: 5373
% 0.13/0.43  % (4118901)Time elapsed: 0.002 s
% 0.13/0.43  % (4118901)Instructions burned: 1 (million)
% 0.13/0.43  % (4118901)------------------------------
% 0.13/0.43  % (4118901)------------------------------
% 0.13/0.44  % (4118896)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_4118880 for (3000ds/183Mi)
% 0.13/0.44  % (4118897)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_4118880 for (3000ds/4Mi)
% 0.13/0.44  % (4118898)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_4118880 for (3000ds/27Mi)
% 0.13/0.44  % (4118896)First to succeed.
% 0.13/0.44  % (4118899)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_4118880 for (3000ds/2Mi)
% 0.13/0.44  % (4118898)Refutation not found, incomplete strategy
% 0.13/0.44  % (4118898)------------------------------
% 0.13/0.44  % (4118898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.44  % (4118898)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.44  
% 0.13/0.44  
% 0.13/0.44  % (4118897)Also succeeded, but the first one will report.
% 0.13/0.44  % (4118898)Memory used [KB]: 5373
% 0.13/0.44  % (4118898)Time elapsed: 0.002 s
% 0.13/0.44  % (4118898)------------------------------
% 0.13/0.44  % (4118898)------------------------------
% 0.13/0.44  % (4118902)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_4118880 for (3000ds/18Mi)
% 0.13/0.44  % SZS status Satisfiable for DTF2THF_4118880
% 0.13/0.44  % (4118896)# SZS output start Saturation.
% 0.13/0.44  % (4118896)# SZS output end Saturation.
% 0.13/0.44  % (4118896)------------------------------
% 0.13/0.44  % (4118896)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.44  % (4118896)Termination reason: Satisfiable
% 0.13/0.44  
% 0.13/0.44  % (4118896)Memory used [KB]: 5373
% 0.13/0.44  % (4118896)Time elapsed: 0.003 s
% 0.13/0.44  % (4118896)------------------------------
% 0.13/0.44  % (4118896)------------------------------
% 0.13/0.44  % (4118895)Success in time 0.019 s
%------------------------------------------------------------------------------