%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL612^1 : 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 : n009.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 11:34:25 AM UTC 2026
% Result : CounterSatisfiable 0.14s 0.46s
% Output : Saturation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL612^1 : 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
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 6 02:03:06 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.14/0.38 ---- Original DTF file ---
% 0.14/0.39 thf(spec,logic,$$dhol).
% 0.14/0.39 %------------------------------------------------------------------------------
% 0.14/0.39 % File : LCL612^1 : TPTP v9.3.1. Released v3.6.0.
% 0.14/0.39 % Domain : Logical Calculi
% 0.14/0.39 % Problem : Modus Ponens holds in K
% 0.14/0.39 % Version : [Ben08] axioms.
% 0.14/0.39 % English :
% 0.14/0.39
% 0.14/0.39 % Refs : [Fit07] Fitting (2007), Modal Proof Theory
% 0.14/0.39 % : [Ben08] Benzmueller (2008), Email to G. Sutcliffe
% 0.14/0.39 % Source : [Ben08]
% 0.14/0.39 % Names : Fitting-HB-2 [Ben08]
% 0.14/0.39
% 0.14/0.39 % Status : Theorem
% 0.14/0.39 % Rating : 0.08 v9.3.0, 0.00 v8.2.0, 0.08 v8.1.0, 0.00 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, 0.00 v6.1.0, 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
% 0.14/0.39 % Syntax : Number of formulae : 36 ( 15 unt; 20 typ; 15 def)
% 0.14/0.39 % Number of atoms : 41 ( 15 equ; 0 cnn)
% 0.14/0.39 % Maximal formula atoms : 4 ( 2 avg)
% 0.14/0.39 % Number of connectives : 42 ( 3 ~; 1 |; 3 &; 33 @)
% 0.14/0.39 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.14/0.39 % Maximal formula depth : 9 ( 2 avg)
% 0.14/0.39 % Number of types : 3 ( 1 usr)
% 0.14/0.39 % Number of type conns : 83 ( 83 >; 0 *; 0 +; 0 <<)
% 0.14/0.39 % Number of symbols : 22 ( 19 usr; 3 con; 0-3 aty)
% 0.14/0.39 % Number of variables : 39 ( 28 ^; 7 !; 4 ?; 39 :)
% 0.14/0.39 % SPC : TH0_THM_EQU_NAR_NDT
% 0.14/0.39
% 0.14/0.39 % Comments :
% 0.14/0.39 %------------------------------------------------------------------------------
% 0.14/0.39 %----Include simple maths definitions and axioms
% 0.14/0.39 include('Axioms/LCL008^0.ax').
% 0.14/0.39 %------------------------------------------------------------------------------
% 0.14/0.39 thf(modus_ponens,conjecture,
% 0.14/0.39 ! [R: $i > $i > $o,X: $i > $o,Y: $i > $o] :
% 0.14/0.39 ( ( ( mvalid @ X )
% 0.14/0.39 & ( mvalid @ ( mimpl @ X @ Y ) ) )
% 0.14/0.39 => ( mvalid @ Y ) ) ).
% 0.14/0.39
% 0.14/0.39 %------------------------------------------------------------------------------
% 0.14/0.39 ------------------------
% 0.14/0.39 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.14/0.39 ---- Embedded in THF ---
% 0.14/0.39 ------------------------
% 0.14/0.41 ---- Cleaned THF ---
% 0.14/0.41 ------------------------
% 0.14/0.45 % (1431742)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_1431724 for (2999ds/27Mi)
% 0.14/0.45 % (1431742)Refutation not found, incomplete strategy
% 0.14/0.45 % (1431742)------------------------------
% 0.14/0.45 % (1431742)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.45 % (1431742)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.45
% 0.14/0.45
% 0.14/0.45 % (1431742)Memory used [KB]: 5373
% 0.14/0.45 % (1431742)Time elapsed: 0.002 s
% 0.14/0.45 % (1431742)Instructions burned: 1 (million)
% 0.14/0.45 % (1431742)------------------------------
% 0.14/0.45 % (1431742)------------------------------
% 0.14/0.45 % (1431740)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1431724 for (2999ds/183Mi)
% 0.14/0.45 % (1431741)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_1431724 for (2999ds/4Mi)
% 0.14/0.46 % (1431740)First to succeed.
% 0.14/0.46 % (1431743)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1431724 for (2999ds/2Mi)
% 0.14/0.46 % (1431741)Also succeeded, but the first one will report.
% 0.14/0.46 % (1431744)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_1431724 for (2999ds/2Mi)
% 0.14/0.46 % (1431744)Refutation not found, incomplete strategy
% 0.14/0.46 % (1431744)------------------------------
% 0.14/0.46 % (1431744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.46 % (1431744)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.46
% 0.14/0.46
% 0.14/0.46 % (1431744)Memory used [KB]: 5373
% 0.14/0.46 % (1431744)Time elapsed: 0.003 s
% 0.14/0.46 % (1431744)Instructions burned: 1 (million)
% 0.14/0.46 % (1431744)------------------------------
% 0.14/0.46 % (1431744)------------------------------
% 0.14/0.46 % SZS status Satisfiable for DTF2THF_1431724
% 0.14/0.46 % (1431740)# SZS output start Saturation.
% 0.14/0.46 % (1431740)# SZS output end Saturation.
% 0.14/0.46 % (1431740)------------------------------
% 0.14/0.46 % (1431740)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.14/0.46 % (1431740)Termination reason: Satisfiable
% 0.14/0.46
% 0.14/0.46 % (1431740)Memory used [KB]: 5373
% 0.14/0.46 % (1431740)Time elapsed: 0.002 s
% 0.14/0.46 % (1431740)Instructions burned: 1 (million)
% 0.14/0.46 % (1431740)------------------------------
% 0.14/0.46 % (1431740)------------------------------
% 0.14/0.46 % (1431739)Success in time 0.019 s
%------------------------------------------------------------------------------