%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL874^1 : 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 : n008.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 11:35:06 AM UTC 2026
% Result : CounterSatisfiable 0.19s 0.48s
% Output : Saturation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL874^1 : 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
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 23:15:23 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.40 ---- Original DTF file ---
% 0.11/0.40 thf(spec,logic,$$dhol).
% 0.11/0.40 %------------------------------------------------------------------------------
% 0.11/0.40 % File : LCL874^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.11/0.40 % Domain : Logical Calculi (Modal logic)
% 0.11/0.40 % Problem : Inclusion statement in a 2-D logic of knowledge and belief
% 0.11/0.40 % Version : [Ben10] axioms.
% 0.11/0.40 % English : Suppose we want to work with a 2-dimensional logic combining a
% 0.11/0.40 % modality box_k of knowledge with a modality box_b of belief.
% 0.11/0.40 % Moreover, suppose we model box_k as an S5 modality and box_b as
% 0.11/0.40 % an D45 modality and let us furthermore add two axioms
% 0.11/0.40 % characterizing their relationship. We may then want to check
% 0.11/0.40 % whether or not box_k and box_b coincide, i.e., whether box_k
% 0.11/0.40 % includes box_b
% 0.11/0.40
% 0.11/0.40 % Refs : [Ben10a] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.11/0.40 % : [Ben10b] Benzmueller (2010), Simple Type Theory as a Framework
% 0.11/0.40 % Source : [Ben10a]
% 0.11/0.40 % Names : Problem 36 [Ben10b]
% 0.11/0.40
% 0.11/0.40 % Status : Theorem
% 0.11/0.40 % Rating : 0.25 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, 0.44 v7.2.0, 0.38 v7.1.0, 0.50 v7.0.0, 0.43 v6.4.0, 0.33 v6.3.0, 0.60 v6.2.0, 0.71 v6.1.0, 0.57 v5.5.0, 0.67 v5.4.0, 0.60 v5.0.0
% 0.11/0.40 % Syntax : Number of formulae : 74 ( 31 unt; 34 typ; 31 def)
% 0.11/0.40 % Number of atoms : 127 ( 36 equ; 0 cnn)
% 0.11/0.40 % Maximal formula atoms : 9 ( 3 avg)
% 0.11/0.40 % Number of connectives : 155 ( 4 ~; 4 |; 8 &; 131 @)
% 0.11/0.40 % ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% 0.11/0.40 % Maximal formula depth : 8 ( 2 avg)
% 0.11/0.40 % Number of types : 3 ( 1 usr)
% 0.11/0.40 % Number of type conns : 175 ( 175 >; 0 *; 0 +; 0 <<)
% 0.11/0.40 % Number of symbols : 35 ( 33 usr; 1 con; 0-3 aty)
% 0.11/0.40 % Number of variables : 87 ( 52 ^; 29 !; 6 ?; 87 :)
% 0.11/0.40 % SPC : TH0_THM_EQU_NAR_NDT
% 0.11/0.40
% 0.11/0.40 % Comments :
% 0.11/0.40 % Bugfixes : v5.0.0 - Bugfix to LCL013^0.ax
% 0.11/0.40 %------------------------------------------------------------------------------
% 0.11/0.40 %----Include the definitions for quantified multimodal logic
% 0.11/0.40 include('Axioms/LCL013^0.ax').
% 0.11/0.40 %------------------------------------------------------------------------------
% 0.11/0.40 thf(rk,type,
% 0.11/0.40 rk: $i > $i > $o ).
% 0.11/0.40
% 0.11/0.40 thf(rb,type,
% 0.11/0.40 rb: $i > $i > $o ).
% 0.11/0.40
% 0.11/0.40 thf(ax1,axiom,
% 0.11/0.40 mreflexive @ rk ).
% 0.11/0.40
% 0.11/0.40 thf(ax2,axiom,
% 0.11/0.40 mserial @ rb ).
% 0.11/0.40
% 0.11/0.40 thf(ax3,axiom,
% 0.11/0.40 mtransitive @ rk ).
% 0.11/0.40
% 0.11/0.40 thf(ax4,axiom,
% 0.11/0.40 mtransitive @ rb ).
% 0.11/0.40
% 0.11/0.40 thf(ax5,axiom,
% 0.11/0.40 meuclidean @ rk ).
% 0.11/0.40
% 0.11/0.40 thf(ax6,axiom,
% 0.11/0.40 meuclidean @ rb ).
% 0.11/0.40
% 0.11/0.40 thf(ax7,axiom,
% 0.11/0.40 ( mvalid
% 0.11/0.40 @ ( mforall_prop
% 0.11/0.40 @ ^ [A: $i > $o] : ( mimplies @ ( mbox @ rk @ A ) @ ( mbox @ rb @ A ) ) ) ) ).
% 0.11/0.40
% 0.11/0.40 thf(ax8,axiom,
% 0.11/0.40 ( mvalid
% 0.11/0.40 @ ( mforall_prop
% 0.11/0.40 @ ^ [A: $i > $o] : ( mimplies @ ( mbox @ rb @ A ) @ ( mbox @ rb @ ( mbox @ rk @ A ) ) ) ) ) ).
% 0.11/0.40
% 0.11/0.40 thf(conj,conjecture,
% 0.11/0.40 ( mvalid
% 0.11/0.40 @ ( mforall_prop
% 0.11/0.40 @ ^ [A: $i > $o] : ( mimplies @ ( mbox @ rb @ A ) @ ( mbox @ rk @ A ) ) ) ) ).
% 0.11/0.40
% 0.11/0.40 %------------------------------------------------------------------------------
% 0.11/0.41 ------------------------
% 0.11/0.41 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.11/0.41 ---- Embedded in THF ---
% 0.11/0.41 ------------------------
% 0.11/0.43 ---- Cleaned THF ---
% 0.11/0.43 ------------------------
% 0.19/0.47 % (1161561)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_1161543 for (3000ds/27Mi)
% 0.19/0.47 % (1161561)Refutation not found, incomplete strategy
% 0.19/0.47 % (1161561)------------------------------
% 0.19/0.47 % (1161561)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.19/0.47 % (1161561)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % (1161561)Memory used [KB]: 5373
% 0.19/0.47 % (1161561)Time elapsed: 0.002 s
% 0.19/0.47 % (1161561)Instructions burned: 1 (million)
% 0.19/0.47 % (1161561)------------------------------
% 0.19/0.47 % (1161561)------------------------------
% 0.19/0.47 % (1161559)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1161543 for (3000ds/183Mi)
% 0.19/0.47 % (1161560)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_1161543 for (3000ds/4Mi)
% 0.19/0.47 % (1161559)First to succeed.
% 0.19/0.47 % (1161562)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1161543 for (3000ds/2Mi)
% 0.19/0.47 % (1161560)Also succeeded, but the first one will report.
% 0.19/0.47 % (1161563)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_1161543 for (3000ds/2Mi)
% 0.19/0.47 % (1161564)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_1161543 for (3000ds/275Mi)
% 0.19/0.47 % (1161565)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_1161543 for (3000ds/18Mi)
% 0.19/0.47 % (1161563)Refutation not found, incomplete strategy
% 0.19/0.47 % (1161563)------------------------------
% 0.19/0.47 % (1161563)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.19/0.47 % (1161563)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % (1161563)Memory used [KB]: 5373
% 0.19/0.47 % (1161563)Time elapsed: 0.002 s
% 0.19/0.47 % (1161563)------------------------------
% 0.19/0.47 % (1161563)------------------------------
% 0.19/0.47 % (1161564)Refutation not found, incomplete strategy
% 0.19/0.47 % (1161564)------------------------------
% 0.19/0.47 % (1161564)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.19/0.47 % (1161564)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 % (1161564)Memory used [KB]: 5373
% 0.19/0.47 % (1161564)Time elapsed: 0.002 s
% 0.19/0.47 % (1161564)------------------------------
% 0.19/0.47 % (1161564)------------------------------
% 0.19/0.48 % SZS status Satisfiable for DTF2THF_1161543
% 0.19/0.48 % (1161559)# SZS output start Saturation.
% 0.19/0.48 % (1161559)# SZS output end Saturation.
% 0.19/0.48 % (1161559)------------------------------
% 0.19/0.48 % (1161559)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.19/0.48 % (1161559)Termination reason: Satisfiable
% 0.19/0.48
% 0.19/0.48 % (1161559)Memory used [KB]: 5373
% 0.19/0.48 % (1161559)Time elapsed: 0.003 s
% 0.19/0.48 % (1161559)------------------------------
% 0.19/0.48 % (1161559)------------------------------
% 0.19/0.48 % (1161558)Success in time 0.018 s
%------------------------------------------------------------------------------