%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL724^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n009.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 11:34:48 AM UTC 2026
% Result : CounterSatisfiable 0.18s 0.46s
% Output : Saturation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL724^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n009.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 16:25:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 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 : LCL724^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.09/0.39 % Domain : Logic Calculi (Modal logic)
% 0.09/0.39 % Problem : Axioms M and 4 hold in monomodal logic S4
% 0.09/0.39 % Version : [Ben09] axioms.
% 0.09/0.39 % English :
% 0.09/0.39
% 0.09/0.39 % Refs : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.09/0.39 % Source : [Ben09]
% 0.09/0.39 % Names : ML_S4_ex1.p [Ben09]
% 0.09/0.39
% 0.09/0.39 % Status : Theorem
% 0.09/0.39 % Rating : 0.17 v9.3.0, 0.11 v9.1.0, 0.12 v9.0.0, 0.10 v8.2.0, 0.23 v8.1.0, 0.18 v7.5.0, 0.14 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.25 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v5.0.0
% 0.09/0.39 % Syntax : Number of formulae : 72 ( 33 unt; 36 typ; 33 def)
% 0.09/0.39 % Number of atoms : 116 ( 38 equ; 0 cnn)
% 0.09/0.39 % Maximal formula atoms : 12 ( 3 avg)
% 0.09/0.39 % Number of connectives : 144 ( 5 ~; 5 |; 9 &; 117 @)
% 0.09/0.39 % ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% 0.09/0.39 % Maximal formula depth : 6 ( 1 avg)
% 0.09/0.39 % Number of types : 3 ( 1 usr)
% 0.09/0.39 % Number of type conns : 179 ( 179 >; 0 *; 0 +; 0 <<)
% 0.09/0.39 % Number of symbols : 37 ( 35 usr; 1 con; 0-3 aty)
% 0.09/0.39 % Number of variables : 88 ( 52 ^; 30 !; 6 ?; 88 :)
% 0.09/0.39 % SPC : TH0_THM_EQU_NAR_NDT
% 0.09/0.39
% 0.09/0.39 % Comments :
% 0.09/0.39 % Bugfixes : v5.0.0 - Bugfix to LCL013^0.ax
% 0.09/0.39 %------------------------------------------------------------------------------
% 0.09/0.39 include('Axioms/LCL013^0.ax').
% 0.09/0.39 include('Axioms/LCL013^5.ax').
% 0.09/0.39 %------------------------------------------------------------------------------
% 0.09/0.39 thf(phi,type,
% 0.09/0.39 phi: $i > $o ).
% 0.09/0.39
% 0.09/0.39 thf(conj,conjecture,
% 0.09/0.39 ( ( mvalid @ ( mimplies @ ( mbox_s4 @ phi ) @ phi ) )
% 0.09/0.39 & ( mvalid @ ( mimplies @ ( mbox_s4 @ phi ) @ ( mbox_s4 @ ( mbox_s4 @ phi ) ) ) ) ) ).
% 0.09/0.39
% 0.09/0.39 %------------------------------------------------------------------------------
% 0.09/0.39 ------------------------
% 0.09/0.40 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.09/0.40 ---- Embedded in THF ---
% 0.09/0.40 ------------------------
% 0.09/0.42 ---- Cleaned THF ---
% 0.09/0.42 ------------------------
% 0.09/0.45 % (924011)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_923983 for (3000ds/2Mi)
% 0.09/0.45 % (924011)Refutation not found, incomplete strategy
% 0.09/0.45 % (924011)------------------------------
% 0.09/0.45 % (924011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.09/0.45 % (924011)Termination reason: Refutation not found, incomplete strategy
% 0.09/0.45
% 0.09/0.45
% 0.09/0.45 % (924011)Memory used [KB]: 5373
% 0.09/0.45 % (924011)Time elapsed: 0.001 s
% 0.09/0.45 % (924011)------------------------------
% 0.09/0.45 % (924011)------------------------------
% 0.18/0.46 % (924007)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_923983 for (3000ds/183Mi)
% 0.18/0.46 % (924008)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_923983 for (3000ds/4Mi)
% 0.18/0.46 % (924009)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_923983 for (3000ds/27Mi)
% 0.18/0.46 % (924007)First to succeed.
% 0.18/0.46 % (924010)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_923983 for (3000ds/2Mi)
% 0.18/0.46 % (924008)Also succeeded, but the first one will report.
% 0.18/0.46 % (924009)Refutation not found, incomplete strategy
% 0.18/0.46 % (924009)------------------------------
% 0.18/0.46 % (924009)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.18/0.46 % (924009)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 % (924009)Memory used [KB]: 5373
% 0.18/0.46 % (924009)Time elapsed: 0.002 s
% 0.18/0.46 % (924009)------------------------------
% 0.18/0.46 % (924009)------------------------------
% 0.18/0.46 % (924012)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_923983 for (3000ds/275Mi)
% 0.18/0.46 % (924012)Refutation not found, incomplete strategy
% 0.18/0.46 % (924012)------------------------------
% 0.18/0.46 % (924012)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.18/0.46 % (924012)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 % (924012)Memory used [KB]: 5373
% 0.18/0.46 % (924012)Time elapsed: 0.002 s
% 0.18/0.46 % (924012)------------------------------
% 0.18/0.46 % (924012)------------------------------
% 0.18/0.46 % (924013)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_923983 for (3000ds/18Mi)
% 0.18/0.46 % SZS status Satisfiable for DTF2THF_923983
% 0.18/0.46 % (924007)# SZS output start Saturation.
% 0.18/0.46 % (924007)# SZS output end Saturation.
% 0.18/0.46 % (924007)------------------------------
% 0.18/0.46 % (924007)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.18/0.46 % (924007)Termination reason: Satisfiable
% 0.18/0.46
% 0.18/0.46 % (924007)Memory used [KB]: 5373
% 0.18/0.46 % (924007)Time elapsed: 0.002 s
% 0.18/0.46 % (924007)------------------------------
% 0.18/0.46 % (924007)------------------------------
% 0.18/0.46 % (924006)Success in time 0.016 s
%------------------------------------------------------------------------------