%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL599^1 : 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 : n012.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 0.06s 0.36s
% Output : Saturation 0.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LCL599^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.02 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sat Sep 5 22:54:12 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.03/0.31 ---- Original DTF file ---
% 0.03/0.31 thf(spec,logic,$$dhol).
% 0.03/0.31 %------------------------------------------------------------------------------
% 0.03/0.31 % File : LCL599^1 : TPTP v9.3.1. Released v3.6.0.
% 0.03/0.31 % Domain : Logical Calculi
% 0.03/0.31 % Problem : Is axiom 4 equivalent to symmetry?
% 0.03/0.31 % Version : [BP09] axioms.
% 0.03/0.31 % English :
% 0.03/0.31
% 0.03/0.31 % Refs : [BP09] Benzmueller & Paulson (2009), Exploring Properties of
% 0.03/0.31 % Source : [BP09]
% 0.03/0.31 % Names : K-4-d [BP09]
% 0.03/0.31
% 0.03/0.31 % Status : CounterSatisfiable
% 0.03/0.31 % Rating : 0.67 v9.0.0, 0.75 v8.2.0, 1.00 v8.1.0, 0.60 v7.5.0, 0.40 v7.4.0, 0.50 v7.2.0, 0.33 v6.4.0, 0.67 v6.3.0, 0.33 v5.2.0, 0.00 v4.0.0, 1.00 v3.7.0
% 0.03/0.31 % Syntax : Number of formulae : 78 ( 36 unt; 41 typ; 36 def)
% 0.03/0.31 % Number of atoms : 94 ( 40 equ; 0 cnn)
% 0.03/0.31 % Maximal formula atoms : 6 ( 2 avg)
% 0.03/0.31 % Number of connectives : 134 ( 6 ~; 3 |; 14 &; 100 @)
% 0.03/0.31 % ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% 0.03/0.31 % Maximal formula depth : 9 ( 1 avg)
% 0.03/0.31 % Number of types : 3 ( 1 usr)
% 0.03/0.31 % Number of type conns : 224 ( 224 >; 0 *; 0 +; 0 <<)
% 0.03/0.31 % Number of symbols : 43 ( 40 usr; 3 con; 0-4 aty)
% 0.03/0.31 % Number of variables : 110 ( 76 ^; 24 !; 10 ?; 110 :)
% 0.03/0.31 % SPC : TH0_CSA_EQU_NAR_NDT
% 0.03/0.31
% 0.03/0.31 % Comments :
% 0.03/0.31 %------------------------------------------------------------------------------
% 0.03/0.31 %----Include simple maths definitions and axioms
% 0.03/0.31 include('Axioms/LCL008^0.ax').
% 0.03/0.31 include('Axioms/SET008^2.ax').
% 0.03/0.31 %------------------------------------------------------------------------------
% 0.03/0.31 %----Conjecture
% 0.03/0.31 thf(thm,conjecture,
% 0.03/0.31 ! [R: $i > $i > $o] :
% 0.03/0.31 ( ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ R @ A ) @ ( mbox @ R @ ( mbox @ R @ A ) ) ) )
% 0.03/0.31 <=> ( symmetric @ R ) ) ).
% 0.03/0.31
% 0.03/0.31 %------------------------------------------------------------------------------
% 0.03/0.31 ------------------------
% 0.03/0.31 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.03/0.31 ---- Embedded in THF ---
% 0.03/0.32 ------------------------
% 0.06/0.33 ---- Cleaned THF ---
% 0.06/0.33 ------------------------
% 0.06/0.36 % (2474471)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_2474432 for (3000ds/4Mi)
% 0.06/0.36 % (2474470)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_2474432 for (3000ds/183Mi)
% 0.06/0.36 % (2474472)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_2474432 for (3000ds/27Mi)
% 0.06/0.36 % (2474473)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_2474432 for (3000ds/2Mi)
% 0.06/0.36 % (2474474)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_2474432 for (3000ds/2Mi)
% 0.06/0.36 % (2474471)First to succeed.
% 0.06/0.36 % (2474472)Refutation not found, incomplete strategy
% 0.06/0.36 % (2474472)------------------------------
% 0.06/0.36 % (2474472)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.06/0.36 % (2474472)Termination reason: Refutation not found, incomplete strategy
% 0.06/0.36
% 0.06/0.36
% 0.06/0.36 % (2474475)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_2474432 for (3000ds/275Mi)
% 0.06/0.36 % (2474472)Memory used [KB]: 5373
% 0.06/0.36 % (2474474)Refutation not found, incomplete strategy
% 0.06/0.36 % (2474474)------------------------------
% 0.06/0.36 % (2474474)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.06/0.36 % (2474472)Time elapsed: 0.002 s
% 0.06/0.36 % (2474474)Termination reason: Refutation not found, incomplete strategy
% 0.06/0.36
% 0.06/0.36 % (2474472)Instructions burned: 1 (million)
% 0.06/0.36
% 0.06/0.36 % (2474472)------------------------------
% 0.06/0.36 % (2474472)------------------------------
% 0.06/0.36 % (2474474)Memory used [KB]: 5373
% 0.06/0.36 % (2474474)Time elapsed: 0.001 s
% 0.06/0.36 % (2474474)------------------------------
% 0.06/0.36 % (2474474)------------------------------
% 0.06/0.36 % (2474476)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_2474432 for (3000ds/18Mi)
% 0.06/0.36 % (2474470)Also succeeded, but the first one will report.
% 0.06/0.36 % (2474475)Refutation not found, incomplete strategy
% 0.06/0.36 % (2474475)------------------------------
% 0.06/0.36 % (2474475)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.06/0.36 % (2474475)Termination reason: Refutation not found, incomplete strategy
% 0.06/0.36
% 0.06/0.36
% 0.06/0.36 % (2474475)Memory used [KB]: 5373
% 0.06/0.36 % (2474475)Time elapsed: 0.001 s
% 0.06/0.36 % (2474475)------------------------------
% 0.06/0.36 % (2474475)------------------------------
% 0.06/0.36 % (2474473)Also succeeded, but the first one will report.
% 0.06/0.36 % SZS status Satisfiable for DTF2THF_2474432
% 0.06/0.36 % (2474471)# SZS output start Saturation.
% 0.06/0.36 % (2474471)# SZS output end Saturation.
% 0.06/0.36 % (2474471)------------------------------
% 0.06/0.36 % (2474471)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.06/0.36 % (2474471)Termination reason: Satisfiable
% 0.06/0.36
% 0.06/0.36 % (2474471)Memory used [KB]: 5373
% 0.06/0.36 % (2474471)Time elapsed: 0.002 s
% 0.06/0.36 % (2474471)Instructions burned: 1 (million)
% 0.06/0.36 % (2474471)------------------------------
% 0.06/0.36 % (2474471)------------------------------
% 0.06/0.36 % (2474462)Success in time 0.01 s
%------------------------------------------------------------------------------