%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL230^4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n028.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 11:33:52 AM UTC 2026
% Result : CounterSatisfiable 0.11s 0.47s
% Output : Saturation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL230^4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n028.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sat Sep 5 19:12:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.40 ---- Original DTF file ---
% 0.11/0.40 thf(spec,logic,$$dhol).
% 0.11/0.40 %------------------------------------------------------------------------------
% 0.11/0.40 % File : LCL230^4 : TPTP v9.3.1. Released v4.0.0.
% 0.11/0.40 % Domain : Logic Calculi (Intuitionistic logic)
% 0.11/0.40 % Problem : Principia Mathematica 2.85
% 0.11/0.40 % Version : [Goe33] axioms.
% 0.11/0.40 % English :
% 0.11/0.40
% 0.11/0.40 % Refs : [Goe33] Goedel (1933), An Interpretation of the Intuitionistic
% 0.11/0.40 % : [Gol06] Goldblatt (2006), Mathematical Modal Logic: A View of
% 0.11/0.40 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.11/0.40 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.11/0.40 % : [BP10] Benzmueller & Paulson (2009), Exploring Properties of
% 0.11/0.40 % Source : [Ben09]
% 0.11/0.40 % Names :
% 0.11/0.40
% 0.11/0.40 % Status : CounterSatisfiable
% 0.11/0.40 % Rating : 0.67 v9.0.0, 0.75 v8.2.0, 1.00 v8.1.0, 0.80 v7.5.0, 0.60 v7.4.0, 0.75 v7.2.0, 0.67 v6.2.0, 0.33 v5.4.0, 1.00 v5.0.0, 0.33 v4.1.0, 0.00 v4.0.0
% 0.11/0.40 % Syntax : Number of formulae : 45 ( 20 unt; 23 typ; 19 def)
% 0.11/0.40 % Number of atoms : 84 ( 19 equ; 0 cnn)
% 0.11/0.40 % Maximal formula atoms : 21 ( 3 avg)
% 0.11/0.40 % Number of connectives : 75 ( 3 ~; 1 |; 2 &; 67 @)
% 0.11/0.40 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.11/0.40 % Maximal formula depth : 9 ( 2 avg)
% 0.11/0.40 % Number of types : 2 ( 0 usr)
% 0.11/0.40 % Number of type conns : 98 ( 98 >; 0 *; 0 +; 0 <<)
% 0.11/0.40 % Number of symbols : 25 ( 23 usr; 1 con; 0-3 aty)
% 0.11/0.40 % Number of variables : 40 ( 31 ^; 7 !; 2 ?; 40 :)
% 0.11/0.40 % SPC : TH0_CSA_EQU_NAR_NDT
% 0.11/0.40
% 0.11/0.40 % Comments : This is an ILTP problem embedded in TH0
% 0.11/0.40 % : In classical logic this is a Theorem.
% 0.11/0.40 %------------------------------------------------------------------------------
% 0.11/0.40 include('Axioms/LCL010^0.ax').
% 0.11/0.40 %------------------------------------------------------------------------------
% 0.11/0.40 thf(p_type,type,
% 0.11/0.40 p: $i > $o ).
% 0.11/0.40
% 0.11/0.40 thf(q_type,type,
% 0.11/0.40 q: $i > $o ).
% 0.11/0.40
% 0.11/0.40 thf(r_type,type,
% 0.11/0.40 r: $i > $o ).
% 0.11/0.40
% 0.11/0.40 thf(pel5,conjecture,
% 0.11/0.40 ivalid @ ( iimplies @ ( iimplies @ ( ior @ ( iatom @ p ) @ ( iatom @ q ) ) @ ( ior @ ( iatom @ p ) @ ( iatom @ r ) ) ) @ ( ior @ ( iatom @ p ) @ ( iimplies @ ( iatom @ q ) @ ( iatom @ r ) ) ) ) ).
% 0.11/0.40
% 0.11/0.40 %------------------------------------------------------------------------------
% 0.11/0.40 ------------------------
% 0.11/0.40 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.11/0.41 ---- Embedded in THF ---
% 0.11/0.41 ------------------------
% 0.11/0.43 ---- Cleaned THF ---
% 0.11/0.43 ------------------------
% 0.11/0.46 % (2232694)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_2232674 for (3000ds/2Mi)
% 0.11/0.46 % (2232694)Refutation not found, incomplete strategy
% 0.11/0.46 % (2232694)------------------------------
% 0.11/0.46 % (2232694)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.11/0.46 % (2232694)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.46
% 0.11/0.46
% 0.11/0.46 % (2232694)Memory used [KB]: 5373
% 0.11/0.46 % (2232694)Time elapsed: 0.002 s
% 0.11/0.46 % (2232694)Instructions burned: 1 (million)
% 0.11/0.46 % (2232694)------------------------------
% 0.11/0.46 % (2232694)------------------------------
% 0.11/0.47 % (2232690)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_2232674 for (3000ds/183Mi)
% 0.11/0.47 % (2232691)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_2232674 for (3000ds/4Mi)
% 0.11/0.47 % (2232692)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_2232674 for (3000ds/27Mi)
% 0.11/0.47 % (2232693)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_2232674 for (3000ds/2Mi)
% 0.11/0.47 % (2232690)First to succeed.
% 0.11/0.47 % (2232691)Also succeeded, but the first one will report.
% 0.11/0.47 % (2232695)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_2232674 for (3000ds/275Mi)
% 0.11/0.47 % (2232692)Refutation not found, incomplete strategy
% 0.11/0.47 % (2232692)------------------------------
% 0.11/0.47 % (2232692)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.11/0.47 % (2232692)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.47
% 0.11/0.47
% 0.11/0.47 % (2232692)Memory used [KB]: 5373
% 0.11/0.47 % (2232692)Time elapsed: 0.003 s
% 0.11/0.47 % (2232692)------------------------------
% 0.11/0.47 % (2232692)------------------------------
% 0.11/0.47 % (2232695)Refutation not found, incomplete strategy
% 0.11/0.47 % (2232695)------------------------------
% 0.11/0.47 % (2232695)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.11/0.47 % (2232695)Termination reason: Refutation not found, incomplete strategy
% 0.11/0.47
% 0.11/0.47
% 0.11/0.47 % (2232695)Memory used [KB]: 5373
% 0.11/0.47 % (2232695)Time elapsed: 0.002 s
% 0.11/0.47 % (2232695)------------------------------
% 0.11/0.47 % (2232695)------------------------------
% 0.11/0.47 % (2232696)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_2232674 for (3000ds/18Mi)
% 0.11/0.47 % SZS status Satisfiable for DTF2THF_2232674
% 0.11/0.47 % (2232690)# SZS output start Saturation.
% 0.11/0.47 % (2232690)# SZS output end Saturation.
% 0.11/0.47 % (2232690)------------------------------
% 0.11/0.47 % (2232690)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.11/0.47 % (2232690)Termination reason: Satisfiable
% 0.11/0.47
% 0.11/0.47 % (2232690)Memory used [KB]: 5373
% 0.11/0.47 % (2232690)Time elapsed: 0.003 s
% 0.11/0.47 % (2232690)Instructions burned: 1 (million)
% 0.11/0.47 % (2232690)------------------------------
% 0.11/0.47 % (2232690)------------------------------
% 0.11/0.47 % (2232689)Success in time 0.016 s
%------------------------------------------------------------------------------