%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL695^1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 11:34:44 AM UTC 2026
% Result : Satisfiable 0.17s 0.46s
% Output : Saturation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL695^1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n018.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 : Sat Sep 5 14:05:19 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.38 ---- Original DTF file ---
% 0.09/0.39 thf(spec,logic,$$dhol).
% 0.09/0.39 %------------------------------------------------------------------------------
% 0.09/0.39 % File : LCL695^1 : TPTP v9.3.1. Released v4.0.0.
% 0.09/0.39 % Domain : Logic Calculi
% 0.09/0.39 % Problem : Propositional intuitionistic logic in HOL
% 0.09/0.39 % Version : [Goe33] axioms.
% 0.09/0.39 % English : An embedding of propositional intuitionisitc logic in HOL based
% 0.09/0.39 % on Goedel's first translation of propositional intuitionistic
% 0.09/0.39 % logic to modal logic S4.
% 0.09/0.39
% 0.09/0.39 % Refs : [Goe33] Goedel (1933), An Interpretation of the Intuitionistic
% 0.09/0.39 % : [Gol06] Goldblatt (2006), Mathematical Modal Logic: A View of
% 0.09/0.39 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.09/0.39 % : [BP10] Benzmueller & Paulson (2009), Exploring Properties of
% 0.09/0.39 % Source : [Ben09]
% 0.09/0.39 % Names :
% 0.09/0.39
% 0.09/0.39 % Status : Satisfiable
% 0.09/0.39 % 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
% 0.09/0.39 % Syntax : Number of formulae : 41 ( 20 unt; 20 typ; 19 def)
% 0.09/0.39 % Number of atoms : 63 ( 19 equ; 0 cnn)
% 0.09/0.39 % Maximal formula atoms : 3 ( 3 avg)
% 0.09/0.39 % Number of connectives : 55 ( 3 ~; 1 |; 2 &; 47 @)
% 0.09/0.39 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.09/0.39 % Maximal formula depth : 8 ( 1 avg)
% 0.09/0.39 % Number of types : 2 ( 0 usr)
% 0.09/0.39 % Number of type conns : 95 ( 95 >; 0 *; 0 +; 0 <<)
% 0.09/0.39 % Number of symbols : 22 ( 20 usr; 1 con; 0-3 aty)
% 0.09/0.39 % Number of variables : 40 ( 31 ^; 7 !; 2 ?; 40 :)
% 0.09/0.39 % SPC : TH0_SAT_EQU_NAR_NDT
% 0.09/0.39
% 0.09/0.39 % Comments :
% 0.09/0.39 %------------------------------------------------------------------------------
% 0.09/0.39 %----Include axioms of Propositional intuitionistic logic in HOL
% 0.09/0.39 include('Axioms/LCL010^0.ax').
% 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 ---
% 0.09/0.39 ------------------------
% 0.09/0.41 ---- Cleaned THF ---
% 0.09/0.42 ------------------------
% 0.09/0.45 % (995740)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_995695 for (3000ds/275Mi)
% 0.09/0.45 % (995740)Refutation not found, incomplete strategy
% 0.09/0.45 % (995740)------------------------------
% 0.09/0.45 % (995740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.09/0.45 % (995740)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.45
% 0.09/0.45
% 0.09/0.45 % (995740)Memory used [KB]: 5373
% 0.09/0.45 % (995740)Time elapsed: 0.001 s
% 0.09/0.45 % (995740)------------------------------
% 0.09/0.45 % (995740)------------------------------
% 0.17/0.46 % (995735)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_995695 for (3000ds/183Mi)
% 0.17/0.46 % (995736)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_995695 for (3000ds/4Mi)
% 0.17/0.46 % (995735)First to succeed.
% 0.17/0.46 % (995737)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_995695 for (3000ds/27Mi)
% 0.17/0.46 % (995738)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_995695 for (3000ds/2Mi)
% 0.17/0.46 % (995736)Also succeeded, but the first one will report.
% 0.17/0.46 % (995739)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_995695 for (3000ds/2Mi)
% 0.17/0.46 % (995737)Refutation not found, incomplete strategy
% 0.17/0.46 % (995737)------------------------------
% 0.17/0.46 % (995737)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.17/0.46 % (995737)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.46
% 0.17/0.46
% 0.17/0.46 % (995737)Memory used [KB]: 5373
% 0.17/0.46 % (995737)Time elapsed: 0.003 s
% 0.17/0.46 % (995737)------------------------------
% 0.17/0.46 % (995737)------------------------------
% 0.17/0.46 % (995739)Refutation not found, incomplete strategy
% 0.17/0.46 % (995739)------------------------------
% 0.17/0.46 % (995739)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.17/0.46 % (995739)Termination reason: Refutation not found, incomplete strategy
% 0.17/0.46
% 0.17/0.46
% 0.17/0.46 % (995739)Memory used [KB]: 5373
% 0.17/0.46 % (995739)Time elapsed: 0.003 s
% 0.17/0.46 % (995739)------------------------------
% 0.17/0.46 % (995739)------------------------------
% 0.17/0.46 % (995741)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_995695 for (3000ds/18Mi)
% 0.17/0.46 % SZS status Satisfiable for DTF2THF_995695
% 0.17/0.46 % (995735)# SZS output start Saturation.
% 0.17/0.46 % (995735)# SZS output end Saturation.
% 0.17/0.46 % (995735)------------------------------
% 0.17/0.46 % (995735)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.17/0.46 % (995735)Termination reason: Satisfiable
% 0.17/0.46
% 0.17/0.46 % (995735)Memory used [KB]: 5373
% 0.17/0.46 % (995735)Time elapsed: 0.003 s
% 0.17/0.46 % (995735)------------------------------
% 0.17/0.46 % (995735)------------------------------
% 0.17/0.46 % (995734)Success in time 0.016 s
%------------------------------------------------------------------------------