%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL623^1 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.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 0.13s 0.43s
% Output : Saturation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL623^1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.34 % Computer : n006.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sat Sep 5 21:08:16 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.37 ---- Original DTF file ---
% 0.08/0.37 thf(spec,logic,$$dhol).
% 0.08/0.37 %------------------------------------------------------------------------------
% 0.08/0.37 % File : LCL623^1 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.08/0.37 % Domain : Logical Calculi
% 0.08/0.37 % Problem : The Loeb formula is a theorem in GL
% 0.08/0.37 % Version : [Ben08] axioms.
% 0.08/0.37 % English :
% 0.08/0.37
% 0.08/0.37 % Refs : [Fit07] Fitting (2007), Modal Proof Theory
% 0.08/0.37 % : [Ben08] Benzmueller (2008), Email to G. Sutcliffe
% 0.08/0.37 % Source : [Ben08]
% 0.08/0.37 % Names : Fitting-HB-11 [Ben08]
% 0.08/0.37
% 0.08/0.37 % Status : Theorem
% 0.08/0.37 % Rating : 0.08 v9.3.0, 0.00 v8.2.0, 0.08 v8.1.0, 0.09 v7.5.0, 0.00 v7.4.0, 0.11 v7.3.0
% 0.08/0.37 % Syntax : Number of formulae : 38 ( 15 unt; 21 typ; 15 def)
% 0.08/0.37 % Number of atoms : 55 ( 15 equ; 0 cnn)
% 0.08/0.37 % Maximal formula atoms : 9 ( 3 avg)
% 0.08/0.37 % Number of connectives : 57 ( 3 ~; 1 |; 2 &; 50 @)
% 0.08/0.37 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.08/0.37 % Maximal formula depth : 10 ( 2 avg)
% 0.08/0.37 % Number of types : 3 ( 1 usr)
% 0.08/0.37 % Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% 0.08/0.37 % Number of symbols : 23 ( 20 usr; 3 con; 0-3 aty)
% 0.08/0.37 % Number of variables : 38 ( 28 ^; 6 !; 4 ?; 38 :)
% 0.08/0.37 % SPC : TH0_THM_EQU_NAR_NDT
% 0.08/0.37
% 0.08/0.37 % Comments :
% 0.08/0.37 % Bugfixes : v7.3.0 - Made relation R a constant.
% 0.08/0.37 %------------------------------------------------------------------------------
% 0.08/0.37 %----Include simple maths definitions and axioms
% 0.08/0.37 include('Axioms/LCL008^0.ax').
% 0.08/0.37 %------------------------------------------------------------------------------
% 0.08/0.37 %----Axioms
% 0.08/0.37 thf(r_type,type,
% 0.08/0.37 r: $i > $i > $o ).
% 0.08/0.37
% 0.08/0.37 thf(gl,axiom,
% 0.08/0.37 ! [X: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ X ) @ X ) ) @ ( mbox @ r @ X ) ) ) ).
% 0.08/0.37
% 0.08/0.37 %----Conjecture
% 0.08/0.37 thf(loeb,conjecture,
% 0.08/0.37 ! [P: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ r @ ( mimpl @ ( mbox @ r @ P ) @ P ) ) @ ( mbox @ r @ P ) ) ) ).
% 0.08/0.37
% 0.08/0.37 %------------------------------------------------------------------------------
% 0.08/0.37 ------------------------
% 0.08/0.37 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.13/0.37 ---- Embedded in THF ---
% 0.13/0.38 ------------------------
% 0.13/0.40 ---- Cleaned THF ---
% 0.13/0.40 ------------------------
% 0.13/0.43 % (2778898)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_2778848 for (3000ds/18Mi)
% 0.13/0.43 % (2778898)First to succeed.
% 0.13/0.43 % SZS status Satisfiable for DTF2THF_2778848
% 0.13/0.43 % (2778898)# SZS output start Saturation.
% 0.13/0.43 % (2778898)# SZS output end Saturation.
% 0.13/0.43 % (2778898)------------------------------
% 0.13/0.43 % (2778898)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.43 % (2778898)Termination reason: Satisfiable
% 0.13/0.43
% 0.13/0.43 % (2778898)Memory used [KB]: 5373
% 0.13/0.43 % (2778898)Time elapsed: 0.001 s
% 0.13/0.43 % (2778898)------------------------------
% 0.13/0.43 % (2778898)------------------------------
% 0.13/0.43 % (2778887)Success in time 0.011 s
%------------------------------------------------------------------------------