%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL708^1 : 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 : n016.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 0.20s 0.48s
% Output : Saturation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL708^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.37 % Computer : n016.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sat Sep 5 20:46:15 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.40 ---- Original DTF file ---
% 0.13/0.41 thf(spec,logic,$$dhol).
% 0.13/0.41 %------------------------------------------------------------------------------
% 0.13/0.41 % File : LCL708^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.13/0.41 % Domain : Logic Calculi (Quantified multimodal logic)
% 0.13/0.41 % Problem : Accessibility relation implies axiom for weak directedness
% 0.13/0.41 % Version : [Ben09] axioms.
% 0.13/0.41 % English :
% 0.13/0.41
% 0.13/0.41 % Refs : [Gol92] Goldblatt (1992), Logics of Time and Computation
% 0.13/0.41 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.13/0.41 % Source : [Ben09]
% 0.13/0.41 % Names : ex24_34.p [Ben09]
% 0.13/0.41
% 0.13/0.41 % Status : Theorem
% 0.13/0.41 % 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
% 0.13/0.41 % Syntax : Number of formulae : 64 ( 31 unt; 32 typ; 31 def)
% 0.13/0.41 % Number of atoms : 100 ( 36 equ; 0 cnn)
% 0.13/0.41 % Maximal formula atoms : 8 ( 3 avg)
% 0.13/0.41 % Number of connectives : 137 ( 4 ~; 4 |; 8 &; 112 @)
% 0.13/0.41 % ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% 0.13/0.41 % Maximal formula depth : 11 ( 1 avg)
% 0.13/0.41 % Number of types : 3 ( 1 usr)
% 0.13/0.41 % Number of type conns : 171 ( 171 >; 0 *; 0 +; 0 <<)
% 0.13/0.41 % Number of symbols : 33 ( 31 usr; 1 con; 0-3 aty)
% 0.13/0.41 % Number of variables : 86 ( 50 ^; 30 !; 6 ?; 86 :)
% 0.13/0.41 % SPC : TH0_THM_EQU_NAR_NDT
% 0.13/0.41
% 0.13/0.41 % Comments :
% 0.13/0.41 % Bugfixes : v5.0.0 - Bugfix to LCL013^0.ax
% 0.13/0.41 %------------------------------------------------------------------------------
% 0.13/0.41 %----Include embedding of quantified multimodal logic in simple type theory
% 0.13/0.41 include('Axioms/LCL013^0.ax').
% 0.13/0.41 %------------------------------------------------------------------------------
% 0.13/0.41 thf(conj,conjecture,
% 0.13/0.41 ! [R: $i > $i > $o] :
% 0.13/0.41 ( ( mweakly_directed @ R )
% 0.13/0.41 => ( mvalid
% 0.13/0.41 @ ( mforall_prop
% 0.13/0.41 @ ^ [A: $i > $o] : ( mimplies @ ( mdia @ R @ ( mbox @ R @ A ) ) @ ( mbox @ R @ ( mdia @ R @ A ) ) ) ) ) ) ).
% 0.13/0.41
% 0.13/0.41 %------------------------------------------------------------------------------
% 0.13/0.41 ------------------------
% 0.13/0.41 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.13/0.41 ---- Embedded in THF ---
% 0.13/0.41 ------------------------
% 0.13/0.43 ---- Cleaned THF ---
% 0.13/0.43 ------------------------
% 0.20/0.48 % (2331616)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_2331599 for (2999ds/4Mi)
% 0.20/0.48 % (2331615)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_2331599 for (2999ds/183Mi)
% 0.20/0.48 % (2331617)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_2331599 for (2999ds/27Mi)
% 0.20/0.48 % (2331618)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_2331599 for (2999ds/2Mi)
% 0.20/0.48 % (2331619)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_2331599 for (2999ds/2Mi)
% 0.20/0.48 % (2331620)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_2331599 for (2999ds/275Mi)
% 0.20/0.48 % (2331617)Refutation not found, incomplete strategy
% 0.20/0.48 % (2331617)------------------------------
% 0.20/0.48 % (2331617)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.20/0.48 % (2331617)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 % (2331617)Memory used [KB]: 5373
% 0.20/0.48 % (2331617)Time elapsed: 0.002 s
% 0.20/0.48 % (2331617)------------------------------
% 0.20/0.48 % (2331617)------------------------------
% 0.20/0.48 % (2331616)First to succeed.
% 0.20/0.48 % (2331621)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_2331599 for (2999ds/18Mi)
% 0.20/0.48 % (2331619)Refutation not found, incomplete strategy
% 0.20/0.48 % (2331619)------------------------------
% 0.20/0.48 % (2331619)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.20/0.48 % (2331619)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 % (2331619)Memory used [KB]: 5373
% 0.20/0.48 % (2331619)Time elapsed: 0.002 s
% 0.20/0.48 % (2331619)------------------------------
% 0.20/0.48 % (2331619)------------------------------
% 0.20/0.48 % (2331615)Also succeeded, but the first one will report.
% 0.20/0.48 % (2331620)Refutation not found, incomplete strategy
% 0.20/0.48 % (2331620)------------------------------
% 0.20/0.48 % (2331620)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.20/0.48 % (2331620)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 % (2331620)Memory used [KB]: 5373
% 0.20/0.48 % (2331620)Time elapsed: 0.002 s
% 0.20/0.48 % (2331620)------------------------------
% 0.20/0.48 % (2331620)------------------------------
% 0.20/0.48 % (2331621)Also succeeded, but the first one will report.
% 0.20/0.48 % SZS status Satisfiable for DTF2THF_2331599
% 0.20/0.48 % (2331616)# SZS output start Saturation.
% 0.20/0.48 % (2331616)# SZS output end Saturation.
% 0.20/0.48 % (2331616)------------------------------
% 0.20/0.48 % (2331616)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.20/0.48 % (2331616)Termination reason: Satisfiable
% 0.20/0.48
% 0.20/0.48 % (2331616)Memory used [KB]: 5373
% 0.20/0.48 % (2331616)Time elapsed: 0.003 s
% 0.20/0.48 % (2331616)------------------------------
% 0.20/0.48 % (2331616)------------------------------
% 0.20/0.48 % (2331614)Success in time 0.019 s
%------------------------------------------------------------------------------