%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL621^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 11:34:26 AM UTC 2026
% Result : CounterSatisfiable 0.14s 0.48s
% Output : Saturation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL621^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n017.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
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 4 19:54:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 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 : LCL621^1 : TPTP v9.3.1. Released v3.6.0.
% 0.14/0.40 % Domain : Logical Calculi
% 0.14/0.40 % Problem : A simple theorem of K4
% 0.14/0.40 % Version : [Ben08] axioms.
% 0.14/0.40 % English :
% 0.14/0.40
% 0.14/0.40 % Refs : [Fit07] Fitting (2007), Modal Proof Theory
% 0.14/0.40 % : [Ben08] Benzmueller (2008), Email to G. Sutcliffe
% 0.14/0.40 % Source : [Ben08]
% 0.14/0.40 % Names : Fitting-HB-10 [Ben08]
% 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, 0.14 v5.5.0, 0.17 v5.4.0, 0.40 v5.3.0, 0.60 v5.2.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.33 v4.0.0, 0.67 v3.7.0
% 0.14/0.40 % Syntax : Number of formulae : 37 ( 15 unt; 20 typ; 15 def)
% 0.14/0.40 % Number of atoms : 51 ( 15 equ; 0 cnn)
% 0.14/0.40 % Maximal formula atoms : 9 ( 3 avg)
% 0.14/0.40 % Number of connectives : 61 ( 3 ~; 1 |; 2 &; 54 @)
% 0.14/0.40 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.14/0.40 % Maximal formula depth : 12 ( 2 avg)
% 0.14/0.40 % Number of types : 3 ( 1 usr)
% 0.14/0.40 % Number of type conns : 86 ( 86 >; 0 *; 0 +; 0 <<)
% 0.14/0.40 % Number of symbols : 22 ( 19 usr; 3 con; 0-3 aty)
% 0.14/0.40 % Number of variables : 41 ( 28 ^; 9 !; 4 ?; 41 :)
% 0.14/0.40 % SPC : TH0_THM_EQU_NAR_NDT
% 0.14/0.40
% 0.14/0.40 % Comments :
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 %----Include simple maths definitions and axioms
% 0.14/0.40 include('Axioms/LCL008^0.ax').
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 %----Axioms
% 0.14/0.40 thf(k4,axiom,
% 0.14/0.40 ! [R: $i > $i > $o,X: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ R @ X ) @ ( mbox @ R @ ( mbox @ R @ X ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 %----Conjecture
% 0.14/0.40 thf(thm,conjecture,
% 0.14/0.40 ! [R: $i > $i > $o,X: $i > $o,Y: $i > $o] : ( mvalid @ ( mimpl @ ( mand @ ( mbox @ R @ ( mdia @ R @ X ) ) @ ( mbox @ R @ Y ) ) @ ( mbox @ R @ ( mdia @ R @ ( mand @ X @ Y ) ) ) ) ) ).
% 0.14/0.40
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 ------------------------
% 0.14/0.42 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.14/0.42 ---- Embedded in THF ---
% 0.14/0.42 ------------------------
% 0.14/0.44 ---- Cleaned THF ---
% 0.14/0.44 ------------------------
% 0.14/0.48 % (216857)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_216839 for (3000ds/183Mi)
% 0.14/0.48 % (216858)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_216839 for (3000ds/4Mi)
% 0.14/0.48 % (216859)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_216839 for (3000ds/27Mi)
% 0.14/0.48 % (216860)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_216839 for (3000ds/2Mi)
% 0.14/0.48 % (216861)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_216839 for (3000ds/2Mi)
% 0.14/0.48 % (216857)First to succeed.
% 0.14/0.48 % (216859)Refutation not found, incomplete strategy
% 0.14/0.48 % (216859)------------------------------
% 0.14/0.48 % (216859)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.48 % (216859)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.48
% 0.14/0.48
% 0.14/0.48 % (216859)Memory used [KB]: 5373
% 0.14/0.48 % (216859)Time elapsed: 0.003 s
% 0.14/0.48 % (216859)Instructions burned: 1 (million)
% 0.14/0.48 % (216859)------------------------------
% 0.14/0.48 % (216859)------------------------------
% 0.14/0.48 % (216858)Also succeeded, but the first one will report.
% 0.14/0.48 % (216861)Refutation not found, incomplete strategy
% 0.14/0.48 % (216861)------------------------------
% 0.14/0.48 % (216861)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.48 % (216861)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.48
% 0.14/0.48
% 0.14/0.48 % (216861)Memory used [KB]: 5373
% 0.14/0.48 % (216861)Time elapsed: 0.003 s
% 0.14/0.48 % (216861)Instructions burned: 1 (million)
% 0.14/0.48 % (216861)------------------------------
% 0.14/0.48 % (216861)------------------------------
% 0.14/0.48 % (216863)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_216839 for (3000ds/18Mi)
% 0.14/0.48 % (216860)Also succeeded, but the first one will report.
% 0.14/0.48 % SZS status Satisfiable for DTF2THF_216839
% 0.14/0.48 % (216857)# SZS output start Saturation.
% 0.14/0.48 % (216857)# SZS output end Saturation.
% 0.14/0.48 % (216857)------------------------------
% 0.14/0.48 % (216857)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.48 % (216857)Termination reason: Satisfiable
% 0.14/0.48
% 0.14/0.48 % (216857)Memory used [KB]: 5373
% 0.14/0.48 % (216857)Time elapsed: 0.003 s
% 0.14/0.48 % (216857)Instructions burned: 1 (million)
% 0.14/0.48 % (216857)------------------------------
% 0.14/0.48 % (216857)------------------------------
% 0.14/0.48 % (216854)Success in time 0.019 s
%------------------------------------------------------------------------------