%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL720^1 : 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 : 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 11:34:47 AM UTC 2026
% Result : CounterSatisfiable 0.14s 0.45s
% Output : Saturation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL720^1 : 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
% 0.10/0.35 % Computer : n018.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 5 16:40:04 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.10/0.35 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.38 ---- Original DTF file ---
% 0.14/0.38 thf(spec,logic,$$dhol).
% 0.14/0.38 %------------------------------------------------------------------------------
% 0.14/0.38 % File : LCL720^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.14/0.38 % Domain : Logic Calculi (Modal logic)
% 0.14/0.38 % Problem : Distribution axiom holds in monomodal logic K
% 0.14/0.38 % Version : [Ben09] axioms.
% 0.14/0.38 % English :
% 0.14/0.38
% 0.14/0.38 % Refs : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.14/0.38 % Source : [Ben09]
% 0.14/0.38 % Names : ML_K_ex2.p [Ben09]
% 0.14/0.38
% 0.14/0.38 % Status : Theorem
% 0.14/0.38 % 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
% 0.14/0.38 % Syntax : Number of formulae : 71 ( 33 unt; 37 typ; 33 def)
% 0.14/0.38 % Number of atoms : 111 ( 38 equ; 0 cnn)
% 0.14/0.38 % Maximal formula atoms : 11 ( 3 avg)
% 0.14/0.38 % Number of connectives : 141 ( 5 ~; 5 |; 8 &; 115 @)
% 0.14/0.38 % ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% 0.14/0.38 % Maximal formula depth : 7 ( 1 avg)
% 0.14/0.38 % Number of types : 3 ( 1 usr)
% 0.14/0.38 % Number of type conns : 180 ( 180 >; 0 *; 0 +; 0 <<)
% 0.14/0.38 % Number of symbols : 38 ( 36 usr; 1 con; 0-3 aty)
% 0.14/0.38 % Number of variables : 88 ( 52 ^; 30 !; 6 ?; 88 :)
% 0.14/0.38 % SPC : TH0_THM_EQU_NAR_NDT
% 0.14/0.38
% 0.14/0.38 % Comments :
% 0.14/0.38 % Bugfixes : v5.0.0 - Bugfix to LCL013^0.ax
% 0.14/0.38 %------------------------------------------------------------------------------
% 0.14/0.38 include('Axioms/LCL013^0.ax').
% 0.14/0.38 include('Axioms/LCL013^1.ax').
% 0.14/0.38 %------------------------------------------------------------------------------
% 0.14/0.38 thf(phi,type,
% 0.14/0.38 phi: $i > $o ).
% 0.14/0.38
% 0.14/0.38 thf(psi,type,
% 0.14/0.38 psi: $i > $o ).
% 0.14/0.38
% 0.14/0.38 thf(conj,conjecture,
% 0.14/0.38 mvalid @ ( mimplies @ ( mbox_k @ ( mimplies @ phi @ psi ) ) @ ( mimplies @ ( mbox_k @ phi ) @ ( mbox_k @ psi ) ) ) ).
% 0.14/0.38
% 0.14/0.38 %------------------------------------------------------------------------------
% 0.14/0.38 ------------------------
% 0.14/0.38 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.14/0.38 ---- Embedded in THF ---
% 0.14/0.39 ------------------------
% 0.14/0.41 ---- Cleaned THF ---
% 0.14/0.41 ------------------------
% 0.14/0.45 % (1146334)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1146315 for (2999ds/2Mi)
% 0.14/0.45 % (1146334)First to succeed.
% 0.14/0.45 % SZS status Satisfiable for DTF2THF_1146315
% 0.14/0.45 % (1146334)# SZS output start Saturation.
% 0.14/0.45 % (1146334)# SZS output end Saturation.
% 0.14/0.45 % (1146334)------------------------------
% 0.14/0.45 % (1146334)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.45 % (1146334)Termination reason: Satisfiable
% 0.14/0.45
% 0.14/0.45 % (1146334)Memory used [KB]: 5373
% 0.14/0.45 % (1146334)Time elapsed: 0.002 s
% 0.14/0.45 % (1146334)Instructions burned: 1 (million)
% 0.14/0.45 % (1146334)------------------------------
% 0.14/0.45 % (1146334)------------------------------
% 0.14/0.45 % (1146330)Success in time 0.012 s
%------------------------------------------------------------------------------