%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL601^1 : 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 : n011.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 11:34:24 AM UTC 2026
% Result : CounterSatisfiable 0.13s 0.45s
% Output : Saturation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL601^1 : 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
% 0.09/0.35 % Computer : n011.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 : Sat Sep 5 15:41:13 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.38 ---- Original DTF file ---
% 0.13/0.38 thf(spec,logic,$$dhol).
% 0.13/0.38 %------------------------------------------------------------------------------
% 0.13/0.38 % File : LCL601^1 : TPTP v9.3.1. Released v3.6.0.
% 0.13/0.38 % Domain : Logical Calculi
% 0.13/0.38 % Problem : Axiom 4 for all R means all R are valid
% 0.13/0.38 % Version : [BP09] axioms.
% 0.13/0.38 % English : If axiom 4 is valid for all relations R then all relations R are
% 0.13/0.38 % transitive.
% 0.13/0.38
% 0.13/0.38 % Refs : [BP09] Benzmueller & Paulson (2009), Exploring Properties of
% 0.13/0.38 % Source : [BP09]
% 0.13/0.38 % Names : K-4-f [BP09]
% 0.13/0.38
% 0.13/0.38 % Status : Theorem
% 0.13/0.38 % 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, 0.22 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 v6.0.0, 0.43 v5.5.0, 0.50 v5.4.0, 0.40 v5.3.0, 0.60 v5.2.0, 0.40 v5.1.0, 0.60 v5.0.0, 0.40 v4.1.0, 0.33 v3.7.0
% 0.13/0.38 % Syntax : Number of formulae : 78 ( 36 unt; 41 typ; 36 def)
% 0.13/0.38 % Number of atoms : 94 ( 40 equ; 0 cnn)
% 0.13/0.38 % Maximal formula atoms : 6 ( 2 avg)
% 0.13/0.38 % Number of connectives : 134 ( 6 ~; 3 |; 14 &; 100 @)
% 0.13/0.38 % ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% 0.13/0.38 % Maximal formula depth : 9 ( 1 avg)
% 0.13/0.38 % Number of types : 3 ( 1 usr)
% 0.13/0.38 % Number of type conns : 226 ( 226 >; 0 *; 0 +; 0 <<)
% 0.13/0.38 % Number of symbols : 43 ( 40 usr; 3 con; 0-4 aty)
% 0.13/0.38 % Number of variables : 111 ( 76 ^; 25 !; 10 ?; 111 :)
% 0.13/0.38 % SPC : TH0_THM_EQU_NAR_NDT
% 0.13/0.38
% 0.13/0.38 % Comments :
% 0.13/0.38 %------------------------------------------------------------------------------
% 0.13/0.38 %----Include simple maths definitions and axioms
% 0.13/0.38 include('Axioms/LCL008^0.ax').
% 0.13/0.38 include('Axioms/SET008^2.ax').
% 0.13/0.38 %------------------------------------------------------------------------------
% 0.13/0.38 %----Conjecture
% 0.13/0.38 thf(thm,conjecture,
% 0.13/0.38 ( ! [R: $i > $i > $o,A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ R @ A ) @ ( mbox @ R @ ( mbox @ R @ A ) ) ) )
% 0.13/0.38 <=> ! [R: $i > $i > $o] : ( transitive @ R ) ) ).
% 0.13/0.38
% 0.13/0.38 %------------------------------------------------------------------------------
% 0.13/0.38 ------------------------
% 0.13/0.38 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.13/0.38 ---- Embedded in THF ---
% 0.13/0.39 ------------------------
% 0.13/0.40 ---- Cleaned THF ---
% 0.13/0.41 ------------------------
% 0.13/0.44 % (1032716)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_1032696 for (3000ds/2Mi)
% 0.13/0.44 % (1032716)Refutation not found, incomplete strategy
% 0.13/0.44 % (1032716)------------------------------
% 0.13/0.44 % (1032716)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.44 % (1032716)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.44
% 0.13/0.44
% 0.13/0.44 % (1032716)Memory used [KB]: 5373
% 0.13/0.44 % (1032716)Time elapsed: 0.002 s
% 0.13/0.44 % (1032716)Instructions burned: 1 (million)
% 0.13/0.44 % (1032716)------------------------------
% 0.13/0.44 % (1032716)------------------------------
% 0.13/0.45 % (1032712)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1032696 for (3000ds/183Mi)
% 0.13/0.45 % (1032713)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_1032696 for (3000ds/4Mi)
% 0.13/0.45 % (1032712)First to succeed.
% 0.13/0.45 % (1032714)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_1032696 for (3000ds/27Mi)
% 0.13/0.45 % (1032715)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1032696 for (3000ds/2Mi)
% 0.13/0.45 % (1032713)Also succeeded, but the first one will report.
% 0.13/0.45 % (1032714)Refutation not found, incomplete strategy
% 0.13/0.45 % (1032714)------------------------------
% 0.13/0.45 % (1032714)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.45 % (1032714)Termination reason: Refutation not found, incomplete strategy
% 0.13/0.45
% 0.13/0.45
% 0.13/0.45 % (1032714)Memory used [KB]: 5373
% 0.13/0.45 % (1032714)Time elapsed: 0.003 s
% 0.13/0.45 % (1032714)Instructions burned: 1 (million)
% 0.13/0.45 % (1032714)------------------------------
% 0.13/0.45 % (1032714)------------------------------
% 0.13/0.45 % SZS status Satisfiable for DTF2THF_1032696
% 0.13/0.45 % (1032712)# SZS output start Saturation.
% 0.13/0.45 % (1032712)# SZS output end Saturation.
% 0.13/0.45 % (1032712)------------------------------
% 0.13/0.45 % (1032712)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.45 % (1032712)Termination reason: Satisfiable
% 0.13/0.45
% 0.13/0.45 % (1032712)Memory used [KB]: 5373
% 0.13/0.45 % (1032712)Time elapsed: 0.003 s
% 0.13/0.45 % (1032712)------------------------------
% 0.13/0.45 % (1032712)------------------------------
% 0.13/0.45 % (1032711)Success in time 0.018 s
%------------------------------------------------------------------------------