%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL707^1 : TPTP v9.3.1. Bugfixed v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 11:34:46 AM UTC 2026
% Result : CounterSatisfiable 0.13s 0.44s
% Output : Saturation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL707^1 : TPTP v9.3.1. Bugfixed v5.1.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n002.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 : Fri Sep 4 13:01:35 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.39 ---- Original DTF file ---
% 0.13/0.39 thf(spec,logic,$$dhol).
% 0.13/0.39 %------------------------------------------------------------------------------
% 0.13/0.39 % File : LCL707^1 : TPTP v9.3.1. Bugfixed v5.1.0.
% 0.13/0.39 % Domain : Logic Calculi (Quantified multimodal logic)
% 0.13/0.39 % Problem : Accessibility relation implies axiom for weak connectedness
% 0.13/0.39 % Version : [Ben09] axioms.
% 0.13/0.39 % English :
% 0.13/0.39
% 0.13/0.39 % Refs : [Gol92] Goldblatt (1992), Logics of Time and Computation
% 0.13/0.39 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.13/0.39 % Source : [Ben09]
% 0.13/0.39 % Names : ex23_33.p [Ben09]
% 0.13/0.39
% 0.13/0.39 % Status : Theorem
% 0.13/0.39 % Rating : 0.25 v9.3.0, 0.11 v9.1.0, 0.12 v9.0.0, 0.20 v8.2.0, 0.31 v8.1.0, 0.27 v7.5.0, 0.29 v7.4.0, 0.22 v7.2.0, 0.12 v7.1.0, 0.38 v7.0.0, 0.29 v6.4.0, 0.33 v6.3.0, 0.40 v6.2.0, 0.29 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v5.1.0
% 0.13/0.39 % Syntax : Number of formulae : 64 ( 31 unt; 32 typ; 31 def)
% 0.13/0.39 % Number of atoms : 105 ( 36 equ; 0 cnn)
% 0.13/0.39 % Maximal formula atoms : 13 ( 3 avg)
% 0.13/0.39 % Number of connectives : 146 ( 4 ~; 4 |; 8 &; 121 @)
% 0.13/0.39 % ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% 0.13/0.39 % Maximal formula depth : 16 ( 1 avg)
% 0.13/0.39 % Number of types : 3 ( 1 usr)
% 0.13/0.39 % Number of type conns : 172 ( 172 >; 0 *; 0 +; 0 <<)
% 0.13/0.39 % Number of symbols : 33 ( 31 usr; 1 con; 0-3 aty)
% 0.13/0.39 % Number of variables : 87 ( 51 ^; 30 !; 6 ?; 87 :)
% 0.13/0.39 % SPC : TH0_THM_EQU_NAR_NDT
% 0.13/0.39
% 0.13/0.39 % Comments :
% 0.13/0.39 % Bugfixes : v5.0.0 - Bugfix to LCL013^0.ax
% 0.13/0.39 % : v5.1.0 - Fixed conjecture
% 0.13/0.39 %------------------------------------------------------------------------------
% 0.13/0.39 %----Include embedding of quantified multimodal logic in simple type theory
% 0.13/0.39 include('Axioms/LCL013^0.ax').
% 0.13/0.39 %------------------------------------------------------------------------------
% 0.13/0.39 thf(conj,conjecture,
% 0.13/0.39 ! [R: $i > $i > $o] :
% 0.13/0.39 ( ( mweakly_connected @ R )
% 0.13/0.39 => ( mvalid
% 0.13/0.39 @ ( mforall_prop
% 0.13/0.39 @ ^ [A: $i > $o] :
% 0.13/0.39 ( mforall_prop
% 0.13/0.39 @ ^ [B: $i > $o] : ( mor @ ( mbox @ R @ ( mimplies @ ( mand @ A @ ( mbox @ R @ A ) ) @ B ) ) @ ( mbox @ R @ ( mimplies @ ( mand @ B @ ( mbox @ R @ B ) ) @ A ) ) ) ) ) ) ) ).
% 0.13/0.39
% 0.13/0.39 %------------------------------------------------------------------------------
% 0.13/0.39 ------------------------
% 0.13/0.39 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.13/0.39 ---- Embedded in THF ---
% 0.13/0.39 ------------------------
% 0.13/0.41 ---- Cleaned THF ---
% 0.13/0.41 ------------------------
% 0.13/0.44 % (1734148)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1734129 for (2999ds/2Mi)
% 0.13/0.44 % (1734148)First to succeed.
% 0.13/0.44 % SZS status Satisfiable for DTF2THF_1734129
% 0.13/0.44 % (1734148)# SZS output start Saturation.
% 0.13/0.44 % (1734148)# SZS output end Saturation.
% 0.13/0.44 % (1734148)------------------------------
% 0.13/0.44 % (1734148)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.44 % (1734148)Termination reason: Satisfiable
% 0.13/0.44
% 0.13/0.44 % (1734148)Memory used [KB]: 5373
% 0.13/0.44 % (1734148)Time elapsed: 0.002 s
% 0.13/0.44 % (1734148)------------------------------
% 0.13/0.44 % (1734148)------------------------------
% 0.13/0.44 % (1734144)Success in time 0.01 s
%------------------------------------------------------------------------------