%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL725^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n026.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 11:34:48 AM UTC 2026
% Result : CounterSatisfiable 0.12s 0.44s
% Output : Saturation 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL725^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.34 % Computer : n026.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Sat Sep 5 14:59:56 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.38 ---- Original DTF file ---
% 0.12/0.38 thf(spec,logic,$$dhol).
% 0.12/0.38 %------------------------------------------------------------------------------
% 0.12/0.38 % File : LCL725^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.12/0.38 % Domain : Logic Calculi (Modal logic)
% 0.12/0.38 % Problem : Axioms M, 4, and B hold in monomodal logic S5
% 0.12/0.38 % Version : [Ben09] axioms.
% 0.12/0.38 % English :
% 0.12/0.38
% 0.12/0.38 % Refs : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.12/0.38 % Source : [Ben09]
% 0.12/0.38 % Names : ML_S5_ex1.p [Ben09]
% 0.12/0.38
% 0.12/0.38 % Status : Theorem
% 0.12/0.38 % 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, 0.20 v5.3.0, 0.40 v5.2.0, 0.20 v5.0.0
% 0.12/0.38 % Syntax : Number of formulae : 73 ( 33 unt; 36 typ; 33 def)
% 0.12/0.38 % Number of atoms : 124 ( 38 equ; 0 cnn)
% 0.12/0.38 % Maximal formula atoms : 18 ( 3 avg)
% 0.12/0.38 % Number of connectives : 151 ( 5 ~; 5 |; 10 &; 123 @)
% 0.12/0.38 % ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% 0.12/0.38 % Maximal formula depth : 7 ( 1 avg)
% 0.12/0.38 % Number of types : 3 ( 1 usr)
% 0.12/0.38 % Number of type conns : 179 ( 179 >; 0 *; 0 +; 0 <<)
% 0.12/0.38 % Number of symbols : 37 ( 35 usr; 1 con; 0-3 aty)
% 0.12/0.38 % Number of variables : 88 ( 52 ^; 30 !; 6 ?; 88 :)
% 0.12/0.38 % SPC : TH0_THM_EQU_NAR_NDT
% 0.12/0.38
% 0.12/0.38 % Comments :
% 0.12/0.38 % Bugfixes : v5.0.0 - Bugfix to LCL013^0.ax
% 0.12/0.38 %------------------------------------------------------------------------------
% 0.12/0.38 include('Axioms/LCL013^0.ax').
% 0.12/0.38 include('Axioms/LCL013^6.ax').
% 0.12/0.38 %------------------------------------------------------------------------------
% 0.12/0.38 thf(phi,type,
% 0.12/0.38 phi: $i > $o ).
% 0.12/0.38
% 0.12/0.38 thf(conj,conjecture,
% 0.12/0.38 ( ( mvalid @ ( mimplies @ ( mbox_s5 @ phi ) @ phi ) )
% 0.12/0.38 & ( mvalid @ ( mimplies @ ( mbox_s5 @ phi ) @ ( mbox_s5 @ ( mbox_s5 @ phi ) ) ) )
% 0.12/0.38 & ( mvalid @ ( mimplies @ phi @ ( mbox_s5 @ ( mdia_s5 @ phi ) ) ) ) ) ).
% 0.12/0.38
% 0.12/0.38 %------------------------------------------------------------------------------
% 0.12/0.38 ------------------------
% 0.12/0.38 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.12/0.38 ---- Embedded in THF ---
% 0.12/0.38 ------------------------
% 0.12/0.40 ---- Cleaned THF ---
% 0.12/0.40 ------------------------
% 0.12/0.43 % (1862924)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_1862906 for (2999ds/27Mi)
% 0.12/0.43 % (1862924)Refutation not found, incomplete strategy
% 0.12/0.43 % (1862924)------------------------------
% 0.12/0.43 % (1862924)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.12/0.43 % (1862924)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.43
% 0.12/0.43
% 0.12/0.43 % (1862924)Memory used [KB]: 5373
% 0.12/0.43 % (1862924)Time elapsed: 0.002 s
% 0.12/0.43 % (1862924)Instructions burned: 1 (million)
% 0.12/0.43 % (1862924)------------------------------
% 0.12/0.43 % (1862924)------------------------------
% 0.12/0.44 % (1862922)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1862906 for (2999ds/183Mi)
% 0.12/0.44 % (1862923)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_1862906 for (2999ds/4Mi)
% 0.12/0.44 % (1862925)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1862906 for (2999ds/2Mi)
% 0.12/0.44 % (1862922)First to succeed.
% 0.12/0.44 % (1862923)Also succeeded, but the first one will report.
% 0.12/0.44 % (1862927)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_1862906 for (2999ds/275Mi)
% 0.12/0.44 % (1862928)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_1862906 for (2999ds/18Mi)
% 0.12/0.44 % (1862927)Refutation not found, incomplete strategy
% 0.12/0.44 % (1862927)------------------------------
% 0.12/0.44 % (1862927)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.12/0.44 % (1862927)Termination reason: Refutation not found, incomplete strategy
% 0.12/0.44
% 0.12/0.44
% 0.12/0.44 % (1862927)Memory used [KB]: 5373
% 0.12/0.44 % (1862927)Time elapsed: 0.003 s
% 0.12/0.44 % (1862927)------------------------------
% 0.12/0.44 % (1862927)------------------------------
% 0.12/0.44 % SZS status Satisfiable for DTF2THF_1862906
% 0.12/0.44 % (1862922)# SZS output start Saturation.
% 0.12/0.44 % (1862922)# SZS output end Saturation.
% 0.12/0.44 % (1862922)------------------------------
% 0.12/0.44 % (1862922)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.12/0.44 % (1862922)Termination reason: Satisfiable
% 0.12/0.44
% 0.12/0.44 % (1862922)Memory used [KB]: 5373
% 0.12/0.44 % (1862922)Time elapsed: 0.003 s
% 0.12/0.44 % (1862922)Instructions burned: 1 (million)
% 0.12/0.44 % (1862922)------------------------------
% 0.12/0.44 % (1862922)------------------------------
% 0.12/0.44 % (1862921)Success in time 0.019 s
%------------------------------------------------------------------------------