%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL618^1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/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 11:34:25 AM UTC 2026
% Result : CounterSatisfiable 0.21s 0.47s
% Output : Saturation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL618^1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/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 04:28:23 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.41 ---- Original DTF file ---
% 0.11/0.41 thf(spec,logic,$$dhol).
% 0.11/0.41 %------------------------------------------------------------------------------
% 0.11/0.41 % File : LCL618^1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.11/0.41 % Domain : Logical Calculi
% 0.11/0.41 % Problem : Axiom GL implies Axiom K4 in K
% 0.11/0.41 % Version : [Ben08] axioms.
% 0.11/0.41 % English :
% 0.11/0.41
% 0.11/0.41 % Refs : [Fit07] Fitting (2007), Modal Proof Theory
% 0.11/0.41 % : [Ben08] Benzmueller (2008), Email to G. Sutcliffe
% 0.11/0.41 % Source : [Ben08]
% 0.11/0.41 % Names : Fitting-HB-7b [Ben08]
% 0.11/0.41
% 0.11/0.41 % Status : Theorem
% 0.11/0.41 % Rating : 1.00 v9.3.0, 0.89 v9.1.0, 0.88 v9.0.0, 1.00 v7.3.0
% 0.11/0.41 % Syntax : Number of formulae : 38 ( 15 unt; 21 typ; 15 def)
% 0.11/0.41 % Number of atoms : 56 ( 15 equ; 0 cnn)
% 0.11/0.41 % Maximal formula atoms : 10 ( 3 avg)
% 0.11/0.41 % Number of connectives : 57 ( 3 ~; 1 |; 2 &; 50 @)
% 0.11/0.41 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.11/0.41 % Maximal formula depth : 10 ( 2 avg)
% 0.11/0.41 % Number of types : 3 ( 1 usr)
% 0.11/0.41 % Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% 0.11/0.41 % Number of symbols : 23 ( 20 usr; 3 con; 0-3 aty)
% 0.11/0.41 % Number of variables : 38 ( 28 ^; 6 !; 4 ?; 38 :)
% 0.11/0.41 % SPC : TH0_THM_EQU_NAR_NDT
% 0.11/0.41
% 0.11/0.41 % Comments :
% 0.11/0.41 % Bugfixes : v7.3.0 - Made relation R a constant.
% 0.11/0.41 %------------------------------------------------------------------------------
% 0.11/0.41 %----Include simple maths definitions and axioms
% 0.11/0.41 include('Axioms/LCL008^0.ax').
% 0.11/0.41 %------------------------------------------------------------------------------
% 0.11/0.41 %----Axioms
% 0.11/0.41 thf(r_type,type,
% 0.11/0.41 r: $i > $i > $o ).
% 0.11/0.41
% 0.11/0.41 thf(gl,axiom,
% 0.11/0.41 ! [X: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ X ) @ X ) ) @ ( mbox @ r @ X ) ) ) ).
% 0.11/0.41
% 0.11/0.41 %----Conjecture
% 0.11/0.41 thf(k4,conjecture,
% 0.11/0.41 ! [X: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ X ) @ ( mbox @ r @ ( mbox @ r @ ( mbox @ r @ X ) ) ) ) ) ).
% 0.11/0.41
% 0.11/0.41 %------------------------------------------------------------------------------
% 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 ---
% 0.11/0.42 ------------------------
% 0.11/0.44 ---- Cleaned THF ---
% 0.11/0.44 ------------------------
% 0.11/0.46 % (278212)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_278194 for (3000ds/27Mi)
% 0.11/0.46 % (278212)Refutation not found, incomplete strategy
% 0.11/0.46 % (278212)------------------------------
% 0.11/0.46 % (278212)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.11/0.46 % (278212)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.46
% 0.11/0.46
% 0.11/0.46 % (278212)Memory used [KB]: 5373
% 0.11/0.46 % (278212)Time elapsed: 0.001 s
% 0.11/0.46 % (278212)------------------------------
% 0.11/0.46 % (278212)------------------------------
% 0.21/0.47 % (278210)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_278194 for (3000ds/183Mi)
% 0.21/0.47 % (278211)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_278194 for (3000ds/4Mi)
% 0.21/0.47 % (278210)First to succeed.
% 0.21/0.47 % (278211)Also succeeded, but the first one will report.
% 0.21/0.47 % SZS status Satisfiable for DTF2THF_278194
% 0.21/0.47 % (278210)# SZS output start Saturation.
% 0.21/0.47 % (278210)# SZS output end Saturation.
% 0.21/0.47 % (278210)------------------------------
% 0.21/0.47 % (278210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.21/0.47 % (278210)Termination reason: Satisfiable
% 0.21/0.47
% 0.21/0.47 % (278210)Memory used [KB]: 5373
% 0.21/0.47 % (278210)Time elapsed: 0.002 s
% 0.21/0.47 % (278210)------------------------------
% 0.21/0.47 % (278210)------------------------------
% 0.21/0.47 % (278209)Success in time 0.017 s
%------------------------------------------------------------------------------