%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL722^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n029.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 0.14s 0.46s
% Output : Saturation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL722^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n029.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 10:27:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/0.40 ---- Original DTF file ---
% 0.14/0.40 thf(spec,logic,$$dhol).
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 % File : LCL722^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.14/0.40 % Domain : Logic Calculi (Modal logic)
% 0.14/0.40 % Problem : Axiom M holds in monomodal logic M
% 0.14/0.40 % Version : [Ben09] axioms.
% 0.14/0.40 % English :
% 0.14/0.40
% 0.14/0.40 % Refs : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.14/0.40 % Source : [Ben09]
% 0.14/0.40 % Names : ML_M_ex1.p [Ben09]
% 0.14/0.40
% 0.14/0.40 % Status : Theorem
% 0.14/0.40 % 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, 0.00 v6.1.0, 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
% 0.14/0.40 % Syntax : Number of formulae : 71 ( 33 unt; 36 typ; 33 def)
% 0.14/0.40 % Number of atoms : 107 ( 38 equ; 0 cnn)
% 0.14/0.40 % Maximal formula atoms : 5 ( 3 avg)
% 0.14/0.40 % Number of connectives : 136 ( 5 ~; 5 |; 8 &; 110 @)
% 0.14/0.40 % ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% 0.14/0.40 % Maximal formula depth : 5 ( 1 avg)
% 0.14/0.40 % Number of types : 3 ( 1 usr)
% 0.14/0.40 % Number of type conns : 179 ( 179 >; 0 *; 0 +; 0 <<)
% 0.14/0.40 % Number of symbols : 37 ( 35 usr; 1 con; 0-3 aty)
% 0.14/0.40 % Number of variables : 88 ( 52 ^; 30 !; 6 ?; 88 :)
% 0.14/0.40 % SPC : TH0_THM_EQU_NAR_NDT
% 0.14/0.40
% 0.14/0.40 % Comments :
% 0.14/0.40 % Bugfixes : v5.0.0 - Bugfix to LCL013^0.ax
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 include('Axioms/LCL013^0.ax').
% 0.14/0.40 include('Axioms/LCL013^3.ax').
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 thf(phi,type,
% 0.14/0.40 phi: $i > $o ).
% 0.14/0.40
% 0.14/0.40 thf(conj,conjecture,
% 0.14/0.40 mvalid @ ( mimplies @ ( mbox_m @ phi ) @ phi ) ).
% 0.14/0.40
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 ------------------------
% 0.14/0.40 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.14/0.40 ---- Embedded in THF ---
% 0.14/0.41 ------------------------
% 0.14/0.43 ---- Cleaned THF ---
% 0.14/0.43 ------------------------
% 0.14/0.46 % (1793146)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_1793106 for (2999ds/275Mi)
% 0.14/0.46 % (1793146)Refutation not found, incomplete strategy
% 0.14/0.46 % (1793146)------------------------------
% 0.14/0.46 % (1793146)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.46 % (1793146)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.46
% 0.14/0.46
% 0.14/0.46 % (1793146)Memory used [KB]: 5373
% 0.14/0.46 % (1793146)Time elapsed: 0.002 s
% 0.14/0.46 % (1793146)------------------------------
% 0.14/0.46 % (1793146)------------------------------
% 0.14/0.46 % (1793141)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_1793106 for (2999ds/4Mi)
% 0.14/0.46 % (1793141)First to succeed.
% 0.14/0.46 % (1793140)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1793106 for (2999ds/183Mi)
% 0.14/0.46 % (1793145)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_1793106 for (2999ds/2Mi)
% 0.14/0.46 % (1793142)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_1793106 for (2999ds/27Mi)
% 0.14/0.46 % (1793145)Refutation not found, incomplete strategy
% 0.14/0.46 % (1793145)------------------------------
% 0.14/0.46 % (1793145)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.46 % (1793140)Also succeeded, but the first one will report.
% 0.14/0.46 % (1793145)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.46
% 0.14/0.46 % (1793142)Refutation not found, incomplete strategy
% 0.14/0.46 % (1793142)------------------------------
% 0.14/0.46 % (1793142)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.46 % (1793142)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.46
% 0.14/0.46
% 0.14/0.46 % (1793142)Memory used [KB]: 5373
% 0.14/0.46 % (1793142)Time elapsed: 0.002 s
% 0.14/0.46 % (1793142)Instructions burned: 1 (million)
% 0.14/0.46 % (1793142)------------------------------
% 0.14/0.46 % (1793142)------------------------------
% 0.14/0.46
% 0.14/0.46 % (1793145)Memory used [KB]: 5373
% 0.14/0.46 % (1793145)Time elapsed: 0.003 s
% 0.14/0.46 % (1793145)Instructions burned: 1 (million)
% 0.14/0.46 % (1793145)------------------------------
% 0.14/0.46 % (1793145)------------------------------
% 0.14/0.46 % (1793147)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_1793106 for (2999ds/18Mi)
% 0.14/0.46 % SZS status Satisfiable for DTF2THF_1793106
% 0.14/0.46 % (1793141)# SZS output start Saturation.
% 0.14/0.46 % (1793141)# SZS output end Saturation.
% 0.14/0.46 % (1793141)------------------------------
% 0.14/0.46 % (1793141)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.46 % (1793141)Termination reason: Satisfiable
% 0.14/0.46
% 0.14/0.46 % (1793141)Memory used [KB]: 5373
% 0.14/0.46 % (1793141)Time elapsed: 0.003 s
% 0.14/0.46 % (1793141)------------------------------
% 0.14/0.46 % (1793141)------------------------------
% 0.14/0.46 % (1793132)Success in time 0.017 s
%------------------------------------------------------------------------------