%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL591^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n020.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 11:34:23 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 : LCL591^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n020.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 00:06:42 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.38 ---- Original DTF file ---
% 0.10/0.38 thf(spec,logic,$$dhol).
% 0.10/0.38 %------------------------------------------------------------------------------
% 0.10/0.38 % File : LCL591^1 : TPTP v9.3.1. Released v3.6.0.
% 0.10/0.38 % Domain : Logical Calculi
% 0.10/0.38 % Problem : Axiom N is valid
% 0.10/0.38 % Version : [BP09] axioms.
% 0.10/0.38 % English :
% 0.10/0.38
% 0.10/0.38 % Refs : [Fit07] Fitting (2007), Modal Proof Theory
% 0.10/0.38 % : [Ben08] Benzmueller (2008), Email to G. Sutcliffe
% 0.10/0.38 % : [BP09] Benzmueller & Paulson (2009), Exploring Properties of
% 0.10/0.38 % Source : [BP09]
% 0.10/0.38 % Names : Fitting-HB-3 [Ben08]
% 0.10/0.38 % : K-N [BP09]
% 0.10/0.38 % : NL_7 [BP09]
% 0.10/0.38
% 0.10/0.38 % Status : Theorem
% 0.10/0.38 % Rating : 0.08 v9.3.0, 0.00 v8.2.0, 0.08 v8.1.0, 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
% 0.10/0.38 % Syntax : Number of formulae : 36 ( 15 unt; 20 typ; 15 def)
% 0.10/0.38 % Number of atoms : 40 ( 15 equ; 0 cnn)
% 0.10/0.38 % Maximal formula atoms : 3 ( 2 avg)
% 0.10/0.38 % Number of connectives : 40 ( 3 ~; 1 |; 2 &; 32 @)
% 0.10/0.38 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.10/0.38 % Maximal formula depth : 7 ( 1 avg)
% 0.10/0.38 % Number of types : 3 ( 1 usr)
% 0.10/0.38 % Number of type conns : 82 ( 82 >; 0 *; 0 +; 0 <<)
% 0.10/0.38 % Number of symbols : 22 ( 19 usr; 3 con; 0-3 aty)
% 0.10/0.38 % Number of variables : 38 ( 28 ^; 6 !; 4 ?; 38 :)
% 0.10/0.38 % SPC : TH0_THM_EQU_NAR_NDT
% 0.10/0.38
% 0.10/0.38 % Comments :
% 0.10/0.38 %------------------------------------------------------------------------------
% 0.10/0.38 %----Include simple maths definitions and axioms
% 0.10/0.38 include('Axioms/LCL008^0.ax').
% 0.10/0.38 %------------------------------------------------------------------------------
% 0.10/0.38 %----Conjecture
% 0.10/0.38 thf(thm,conjecture,
% 0.10/0.38 ! [R: $i > $i > $o,A: $i > $o] :
% 0.10/0.38 ( ( mvalid @ A )
% 0.10/0.38 => ( mvalid @ ( mbox @ R @ A ) ) ) ).
% 0.10/0.38
% 0.10/0.38 %------------------------------------------------------------------------------
% 0.10/0.38 ------------------------
% 0.10/0.39 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.10/0.39 ---- Embedded in THF ---
% 0.10/0.39 ------------------------
% 0.10/0.41 ---- Cleaned THF ---
% 0.10/0.41 ------------------------
% 0.10/0.45 % (2764574)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_2764554 for (2999ds/2Mi)
% 0.10/0.45 % (2764574)Refutation not found, incomplete strategy
% 0.10/0.45 % (2764574)------------------------------
% 0.10/0.45 % (2764574)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.10/0.45 % (2764574)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.45
% 0.10/0.45
% 0.10/0.45 % (2764574)Memory used [KB]: 5373
% 0.10/0.45 % (2764574)Time elapsed: 0.002 s
% 0.10/0.45 % (2764574)Instructions burned: 1 (million)
% 0.10/0.45 % (2764574)------------------------------
% 0.10/0.45 % (2764574)------------------------------
% 0.10/0.46 % (2764570)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_2764554 for (2999ds/183Mi)
% 0.10/0.46 % (2764571)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_2764554 for (2999ds/4Mi)
% 0.10/0.46 % (2764570)First to succeed.
% 0.10/0.46 % (2764572)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_2764554 for (2999ds/27Mi)
% 0.10/0.46 % (2764573)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_2764554 for (2999ds/2Mi)
% 0.10/0.46 % (2764571)Also succeeded, but the first one will report.
% 0.10/0.46 % (2764572)Refutation not found, incomplete strategy
% 0.10/0.46 % (2764572)------------------------------
% 0.10/0.46 % (2764572)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.10/0.46 % (2764572)Termination reason: Refutation not found, incomplete strategy
% 0.10/0.46
% 0.10/0.46
% 0.10/0.46 % (2764572)Memory used [KB]: 5373
% 0.10/0.46 % (2764572)Time elapsed: 0.003 s
% 0.10/0.46 % (2764572)------------------------------
% 0.10/0.46 % (2764572)------------------------------
% 0.10/0.46 % (2764576)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_2764554 for (2999ds/18Mi)
% 0.10/0.46 % SZS status Satisfiable for DTF2THF_2764554
% 0.10/0.46 % (2764570)# SZS output start Saturation.
% 0.10/0.46 % (2764570)# SZS output end Saturation.
% 0.10/0.46 % (2764570)------------------------------
% 0.10/0.46 % (2764570)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.10/0.46 % (2764570)Termination reason: Satisfiable
% 0.10/0.46
% 0.10/0.46 % (2764570)Memory used [KB]: 5373
% 0.10/0.46 % (2764570)Time elapsed: 0.003 s
% 0.10/0.46 % (2764570)------------------------------
% 0.10/0.46 % (2764570)------------------------------
% 0.10/0.46 % (2764569)Success in time 0.019 s
%------------------------------------------------------------------------------