%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL864^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 11:35:05 AM UTC 2026
% Result : CounterSatisfiable 0.18s 0.46s
% Output : Saturation 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL864^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n003.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 6 01:30:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/0.40 ---- Original DTF file ---
% 0.14/0.40 thf(spec,logic,$$dhol).
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 % File : LCL864^1 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.14/0.40 % Domain : Logical Calculi (Modal logic)
% 0.14/0.40 % Problem : Modal logic S5(=M5) coincides with D4B5
% 0.14/0.40 % Version : [Ben10] axioms.
% 0.14/0.40 % English :
% 0.14/0.40
% 0.14/0.40 % Refs : [Ben10a] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.14/0.40 % : [Ben10b] Benzmueller (2010), Simple Type Theory as a Framework
% 0.14/0.40 % Source : [Ben10a]
% 0.14/0.40 % Names : Problem 26 [Ben10b]
% 0.14/0.40
% 0.14/0.40 % Status : Theorem
% 0.14/0.40 % 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, 0.11 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, 0.14 v6.1.0, 0.29 v5.5.0, 0.17 v5.4.0, 0.40 v5.3.0, 0.60 v5.2.0, 0.20 v5.0.0
% 0.14/0.40 % Syntax : Number of formulae : 64 ( 31 unt; 32 typ; 31 def)
% 0.14/0.40 % Number of atoms : 98 ( 36 equ; 0 cnn)
% 0.14/0.40 % Maximal formula atoms : 6 ( 3 avg)
% 0.14/0.40 % Number of connectives : 134 ( 4 ~; 4 |; 12 &; 105 @)
% 0.14/0.40 % ( 1 <=>; 8 =>; 0 <=; 0 <~>)
% 0.14/0.40 % Maximal formula depth : 7 ( 1 avg)
% 0.14/0.40 % Number of types : 3 ( 1 usr)
% 0.14/0.40 % Number of type conns : 170 ( 170 >; 0 *; 0 +; 0 <<)
% 0.14/0.40 % Number of symbols : 33 ( 31 usr; 1 con; 0-3 aty)
% 0.14/0.40 % Number of variables : 85 ( 49 ^; 30 !; 6 ?; 85 :)
% 0.14/0.40 % SPC : TH0_THM_EQU_NAR_NDT
% 0.14/0.40
% 0.14/0.40 % Comments :
% 0.14/0.40 % Bugfixes : v5.0.0 - Bugfix to LCL013^0.ax
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 %----Include the definitions for quantified multimodal logic
% 0.14/0.40 include('Axioms/LCL013^0.ax').
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 thf(conj,conjecture,
% 0.14/0.40 ! [R: $i > $i > $o] :
% 0.14/0.40 ( ( ( mreflexive @ R )
% 0.14/0.40 & ( meuclidean @ R ) )
% 0.14/0.40 <=> ( ( mserial @ R )
% 0.14/0.40 & ( mtransitive @ R )
% 0.14/0.40 & ( msymmetric @ R )
% 0.14/0.40 & ( meuclidean @ R ) ) ) ).
% 0.14/0.40
% 0.14/0.40 %------------------------------------------------------------------------------
% 0.14/0.40 ------------------------
% 0.14/0.40 /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.14/0.40 ---- Embedded in THF ---
% 0.14/0.40 ------------------------
% 0.14/0.42 ---- Cleaned THF ---
% 0.14/0.43 ------------------------
% 0.18/0.46 % (4185447)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_4185427 for (3000ds/2Mi)
% 0.18/0.46 % (4185444)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_4185427 for (3000ds/4Mi)
% 0.18/0.46 % (4185443)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_4185427 for (3000ds/183Mi)
% 0.18/0.46 % (4185445)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_4185427 for (3000ds/27Mi)
% 0.18/0.46 % (4185447)Refutation not found, incomplete strategy
% 0.18/0.46 % (4185447)------------------------------
% 0.18/0.46 % (4185447)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.18/0.46 % (4185447)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 % (4185447)Memory used [KB]: 5373
% 0.18/0.46 % (4185447)Time elapsed: 0.002 s
% 0.18/0.46 % (4185447)Instructions burned: 1 (million)
% 0.18/0.46 % (4185447)------------------------------
% 0.18/0.46 % (4185447)------------------------------
% 0.18/0.46 % (4185444)First to succeed.
% 0.18/0.46 % (4185445)Refutation not found, incomplete strategy
% 0.18/0.46 % (4185445)------------------------------
% 0.18/0.46 % (4185445)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.18/0.46 % (4185445)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.46
% 0.18/0.46
% 0.18/0.46 % (4185445)Memory used [KB]: 5373
% 0.18/0.46 % (4185445)Time elapsed: 0.002 s
% 0.18/0.46 % (4185445)------------------------------
% 0.18/0.46 % (4185445)------------------------------
% 0.18/0.46 % (4185443)Also succeeded, but the first one will report.
% 0.18/0.46 % SZS status Satisfiable for DTF2THF_4185427
% 0.18/0.46 % (4185444)# SZS output start Saturation.
% 0.18/0.46 % (4185444)# SZS output end Saturation.
% 0.18/0.46 % (4185444)------------------------------
% 0.18/0.46 % (4185444)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.18/0.46 % (4185444)Termination reason: Satisfiable
% 0.18/0.46
% 0.18/0.46 % (4185444)Memory used [KB]: 5373
% 0.18/0.46 % (4185444)Time elapsed: 0.002 s
% 0.18/0.46 % (4185444)------------------------------
% 0.18/0.46 % (4185444)------------------------------
% 0.18/0.46 % (4185442)Success in time 0.017 s
%------------------------------------------------------------------------------