%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL580^1 : TPTP v9.3.1. Released v3.6.0.
% 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 11:34:21 AM UTC 2026
% Result : CounterSatisfiable 0.10s 0.46s
% Output : Saturation 0.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL580^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 6 00:55:30 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.39 ---- Original DTF file ---
% 0.10/0.39 thf(spec,logic,$$dhol).
% 0.10/0.39 %------------------------------------------------------------------------------
% 0.10/0.39 % File : LCL580^1 : TPTP v9.3.1. Released v3.6.0.
% 0.10/0.39 % Domain : Logical Calculi
% 0.10/0.39 % Problem : Popkorn problem 1
% 0.10/0.39 % Version : [BP09] axioms.
% 0.10/0.39 % English :
% 0.10/0.39
% 0.10/0.39 % Refs : [Pop95] Popkorn (1995), First Steps in Modal Logic
% 0.10/0.39 % : [BP09] Benzmueller & Paulson (2009), Exploring Properties of
% 0.10/0.39 % Source : [BP09]
% 0.10/0.39 % Names : K-a [BP09]
% 0.10/0.39
% 0.10/0.39 % Status : Theorem
% 0.10/0.39 % Rating : 0.08 v9.3.0, 0.00 v8.2.0, 0.15 v8.1.0, 0.09 v7.5.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v4.1.0, 0.00 v4.0.0, 0.33 v3.7.0
% 0.10/0.39 % Syntax : Number of formulae : 37 ( 15 unt; 21 typ; 15 def)
% 0.10/0.39 % Number of atoms : 41 ( 15 equ; 0 cnn)
% 0.10/0.39 % Maximal formula atoms : 4 ( 2 avg)
% 0.10/0.39 % Number of connectives : 38 ( 3 ~; 1 |; 2 &; 31 @)
% 0.10/0.39 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.10/0.39 % Maximal formula depth : 4 ( 1 avg)
% 0.10/0.39 % Number of types : 3 ( 1 usr)
% 0.10/0.39 % Number of type conns : 81 ( 81 >; 0 *; 0 +; 0 <<)
% 0.10/0.39 % Number of symbols : 23 ( 20 usr; 3 con; 0-3 aty)
% 0.10/0.39 % Number of variables : 36 ( 28 ^; 4 !; 4 ?; 36 :)
% 0.10/0.39 % SPC : TH0_THM_EQU_NAR_NDT
% 0.10/0.39
% 0.10/0.39 % Comments :
% 0.10/0.39 %------------------------------------------------------------------------------
% 0.10/0.39 %----Include simple maths definitions and axioms
% 0.10/0.39 include('Axioms/LCL008^0.ax').
% 0.10/0.39 %------------------------------------------------------------------------------
% 0.10/0.39 %----Signature
% 0.10/0.39 thf(r,type,
% 0.10/0.39 r: $i > $i > $o ).
% 0.10/0.39
% 0.10/0.39 %----Conjecture
% 0.10/0.39 thf(thm,conjecture,
% 0.10/0.39 mvalid @ ( mbox @ r @ mtrue ) ).
% 0.10/0.39
% 0.10/0.39 %------------------------------------------------------------------------------
% 0.10/0.39 ------------------------
% 0.10/0.39 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.10/0.39 ---- Embedded in THF ---
% 0.10/0.40 ------------------------
% 0.10/0.42 ---- Cleaned THF ---
% 0.10/0.42 ------------------------
% 0.10/0.46 % (2521865)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_2521828 for (3000ds/18Mi)
% 0.10/0.46 % (2521865)First to succeed.
% 0.10/0.46 % SZS status Satisfiable for DTF2THF_2521828
% 0.10/0.46 % (2521865)# SZS output start Saturation.
% 0.10/0.46 % (2521865)# SZS output end Saturation.
% 0.10/0.46 % (2521865)------------------------------
% 0.10/0.46 % (2521865)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.10/0.46 % (2521865)Termination reason: Satisfiable
% 0.10/0.46
% 0.10/0.46 % (2521865)Memory used [KB]: 5373
% 0.10/0.46 % (2521865)Time elapsed: 0.001 s
% 0.10/0.46 % (2521865)------------------------------
% 0.10/0.46 % (2521865)------------------------------
% 0.18/0.46 % (2521857)Success in time 0.009 s
%------------------------------------------------------------------------------