%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL697^1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 11:34:45 AM UTC 2026
% Result : Satisfiable 0.20s 0.47s
% Output : Saturation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL697^1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n015.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sat Sep 5 19:14:28 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.40 ---- Original DTF file ---
% 0.10/0.40 thf(spec,logic,$$dhol).
% 0.10/0.40 %------------------------------------------------------------------------------
% 0.10/0.40 % File : LCL697^1 : TPTP v9.3.1. Released v4.0.0.
% 0.10/0.40 % Domain : Logic Calculi
% 0.10/0.40 % Problem : Propositional intuitionistic logic in HOL
% 0.10/0.40 % Version : [MT48] axioms.
% 0.10/0.40 % English : An embedding of propositional intuitionisitc logic in HOL based
% 0.10/0.40 % on the McKinsey/Tarski translation of propositional intuitionistic
% 0.10/0.40 % logic to modal logic S4.
% 0.10/0.40
% 0.10/0.40 % Refs : [MT48] McKinsey & Tarski (1948), Some Theorems about the Sent
% 0.10/0.40 % : [Gol06] Goldblatt (2006), Mathematical Modal Logic: A View of
% 0.10/0.40 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.10/0.40 % : [BP10] Benzmueller & Paulson (2009), Exploring Properties of
% 0.10/0.40 % Source : [Ben09]
% 0.10/0.40 % Names :
% 0.10/0.40
% 0.10/0.40 % Status : Satisfiable
% 0.10/0.40 % Rating : 0.00 v9.3.0, 0.33 v9.0.0, 0.00 v8.1.0, 0.33 v7.4.0, 0.00 v5.4.0, 0.67 v5.2.0, 0.00 v5.0.0, 0.67 v4.1.0, 1.00 v4.0.1, 0.00 v4.0.0
% 0.10/0.40 % Syntax : Number of formulae : 41 ( 20 unt; 20 typ; 19 def)
% 0.10/0.40 % Number of atoms : 61 ( 19 equ; 0 cnn)
% 0.10/0.40 % Maximal formula atoms : 3 ( 2 avg)
% 0.10/0.40 % Number of connectives : 53 ( 3 ~; 1 |; 2 &; 45 @)
% 0.10/0.40 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.10/0.40 % Maximal formula depth : 8 ( 1 avg)
% 0.10/0.40 % Number of types : 2 ( 0 usr)
% 0.10/0.40 % Number of type conns : 95 ( 95 >; 0 *; 0 +; 0 <<)
% 0.10/0.40 % Number of symbols : 22 ( 20 usr; 1 con; 0-3 aty)
% 0.10/0.40 % Number of variables : 40 ( 31 ^; 7 !; 2 ?; 40 :)
% 0.10/0.40 % SPC : TH0_SAT_EQU_NAR_NDT
% 0.10/0.40
% 0.10/0.40 % Comments :
% 0.10/0.40 %------------------------------------------------------------------------------
% 0.10/0.40 %----Include axioms of Propositional Intuitionistic Logic in HOL
% 0.10/0.40 include('Axioms/LCL012^0.ax').
% 0.10/0.40 %------------------------------------------------------------------------------
% 0.10/0.40 ------------------------
% 0.10/0.40 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.10/0.41 ---- Embedded in THF ---
% 0.10/0.41 ------------------------
% 0.10/0.43 ---- Cleaned THF ---
% 0.10/0.43 ------------------------
% 0.20/0.46 % (795458)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_795440 for (3000ds/27Mi)
% 0.20/0.46 % (795458)Refutation not found, incomplete strategy
% 0.20/0.46 % (795458)------------------------------
% 0.20/0.46 % (795458)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.20/0.46 % (795458)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 % (795458)Memory used [KB]: 5373
% 0.20/0.46 % (795458)Time elapsed: 0.001 s
% 0.20/0.46 % (795458)------------------------------
% 0.20/0.46 % (795458)------------------------------
% 0.20/0.47 % (795456)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_795440 for (3000ds/183Mi)
% 0.20/0.47 % (795457)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_795440 for (3000ds/4Mi)
% 0.20/0.47 % (795459)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_795440 for (3000ds/2Mi)
% 0.20/0.47 % (795456)First to succeed.
% 0.20/0.47 % (795457)Also succeeded, but the first one will report.
% 0.20/0.47 % (795460)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_795440 for (3000ds/2Mi)
% 0.20/0.47 % (795460)Refutation not found, incomplete strategy
% 0.20/0.47 % (795460)------------------------------
% 0.20/0.47 % (795460)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.20/0.47 % (795460)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 % (795460)Memory used [KB]: 5373
% 0.20/0.47 % (795460)Time elapsed: 0.002 s
% 0.20/0.47 % (795460)------------------------------
% 0.20/0.47 % (795460)------------------------------
% 0.20/0.47 % SZS status Satisfiable for DTF2THF_795440
% 0.20/0.47 % (795456)# SZS output start Saturation.
% 0.20/0.47 % (795456)# SZS output end Saturation.
% 0.20/0.47 % (795456)------------------------------
% 0.20/0.47 % (795456)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.20/0.47 % (795456)Termination reason: Satisfiable
% 0.20/0.47
% 0.20/0.47 % (795456)Memory used [KB]: 5373
% 0.20/0.47 % (795456)Time elapsed: 0.003 s
% 0.20/0.47 % (795456)------------------------------
% 0.20/0.47 % (795456)------------------------------
% 0.20/0.47 % (795455)Success in time 0.018 s
%------------------------------------------------------------------------------