%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL878^1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n013.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 0.12s 0.47s
% Output : Saturation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL878^1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.37 % Computer : n013.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Fri Sep 4 12:29:50 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.41 ---- Original DTF file ---
% 0.12/0.41 thf(spec,logic,$$dhol).
% 0.12/0.41 %------------------------------------------------------------------------------
% 0.12/0.41 % File : LCL878^1 : TPTP v9.3.1. Released v5.2.0.
% 0.12/0.41 % Domain : Logic Calculi (Doxastic multimodal logic)
% 0.12/0.41 % Problem : Correspondence for axiom I
% 0.12/0.41 % Version : [Ben11] axioms.
% 0.12/0.41 % English :
% 0.12/0.41
% 0.12/0.41 % Refs : [Ben11] Benzmueller (2011), Email to Geoff Sutcliffe
% 0.12/0.41 % : [Ben11] Benzmueller (2011), Combining and Automating Classical
% 0.12/0.41 % Source : [Ben11]
% 0.12/0.41 % Names : Ex_7_3 [Ben11]
% 0.12/0.41
% 0.12/0.41 % Status : Theorem
% 0.12/0.41 % 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, 0.22 v7.2.0, 0.12 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, 0.80 v5.2.0
% 0.12/0.41 % Syntax : Number of formulae : 64 ( 31 unt; 32 typ; 31 def)
% 0.12/0.41 % Number of atoms : 97 ( 36 equ; 0 cnn)
% 0.12/0.41 % Maximal formula atoms : 5 ( 3 avg)
% 0.12/0.41 % Number of connectives : 137 ( 4 ~; 4 |; 8 &; 111 @)
% 0.12/0.41 % ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% 0.12/0.41 % Maximal formula depth : 11 ( 1 avg)
% 0.12/0.41 % Number of types : 3 ( 1 usr)
% 0.12/0.41 % Number of type conns : 173 ( 173 >; 0 *; 0 +; 0 <<)
% 0.12/0.41 % Number of symbols : 33 ( 31 usr; 1 con; 0-3 aty)
% 0.12/0.41 % Number of variables : 89 ( 50 ^; 33 !; 6 ?; 89 :)
% 0.12/0.41 % SPC : TH0_THM_EQU_NAR_NDT
% 0.12/0.41
% 0.12/0.41 % Comments :
% 0.12/0.41 %------------------------------------------------------------------------------
% 0.12/0.41 %----Include simple maths definitions and axioms
% 0.12/0.41 include('Axioms/LCL013^0.ax').
% 0.12/0.41 %------------------------------------------------------------------------------
% 0.12/0.41 %----Conjecture
% 0.12/0.41 thf(conj,conjecture,
% 0.12/0.41 ! [I: $i > $i > $o,J: $i > $i > $o] :
% 0.12/0.41 ( ( mvalid
% 0.12/0.41 @ ( mforall_prop
% 0.12/0.41 @ ^ [Phi: $i > $o] : ( mimplies @ ( mbox @ I @ Phi ) @ ( mbox @ J @ Phi ) ) ) )
% 0.12/0.41 <=> ! [U: $i,V: $i] :
% 0.12/0.41 ( ( J @ U @ V )
% 0.12/0.41 => ( I @ U @ V ) ) ) ).
% 0.12/0.41
% 0.12/0.41 %------------------------------------------------------------------------------
% 0.12/0.41 ------------------------
% 0.12/0.41 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.12/0.41 ---- Embedded in THF ---
% 0.12/0.42 ------------------------
% 0.12/0.44 ---- Cleaned THF ---
% 0.12/0.44 ------------------------
% 0.12/0.46 % (3992208)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_3992189 for (3000ds/2Mi)
% 0.12/0.46 % (3992208)First to succeed.
% 0.12/0.47 % SZS status Satisfiable for DTF2THF_3992189
% 0.12/0.47 % (3992208)# SZS output start Saturation.
% 0.12/0.47 % (3992208)# SZS output end Saturation.
% 0.12/0.47 % (3992208)------------------------------
% 0.12/0.47 % (3992208)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.12/0.47 % (3992208)Termination reason: Satisfiable
% 0.12/0.47
% 0.12/0.47 % (3992208)Memory used [KB]: 5373
% 0.12/0.47 % (3992208)Time elapsed: 0.002 s
% 0.12/0.47 % (3992208)Instructions burned: 1 (million)
% 0.12/0.47 % (3992208)------------------------------
% 0.12/0.47 % (3992208)------------------------------
% 0.12/0.47 % (3992204)Success in time 0.011 s
%------------------------------------------------------------------------------