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DT2H2X---1.9.5.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : LCL726^5 : 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 : n016.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 11:34:48 AM UTC 2026

% Result   : CounterSatisfiable 0.13s 0.46s
% Output   : Saturation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL726^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04  % Command  : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.37  % Computer : n016.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Sat Sep  5 00:26:58 UTC 2026
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.40  ---- Original DTF file ---
% 0.13/0.40  thf(spec,logic,$$dhol).
% 0.13/0.40  %------------------------------------------------------------------------------
% 0.13/0.40  % File     : LCL726^5 : TPTP v9.3.1. Released v4.0.0.
% 0.13/0.40  % Domain   : Logical Calculi
% 0.13/0.40  % Problem  : TPS problem THM534
% 0.13/0.40  % Version  : Especial.
% 0.13/0.40  % English  : AC1 => AC17 from [RR93].
% 0.13/0.40  
% 0.13/0.40  % Refs     : [RR93]  Rubin & Rubin (1993), Weak Forms of the Axiom of Choic
% 0.13/0.40  %          : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.13/0.40  % Source   : [Bro09]
% 0.13/0.40  % Names    : tps_0159 [Bro09]
% 0.13/0.40  %          : THM534 [TPS]
% 0.13/0.40  
% 0.13/0.40  % Status   : Theorem
% 0.13/0.40  % Rating   : 0.11 v9.3.0, 0.17 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.17 v7.4.0, 0.11 v7.3.0, 0.20 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.0.0, 0.00 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.50 v5.2.0, 0.25 v4.1.0, 0.33 v4.0.1, 0.67 v4.0.0
% 0.13/0.40  % Syntax   : Number of formulae    :    2 (   0 unt;   1 typ;   0 def)
% 0.13/0.40  %            Number of atoms       :    0 (   0 equ;   0 cnn)
% 0.13/0.40  %            Maximal formula atoms :    0 (   0 avg)
% 0.13/0.40  %            Number of connectives :   16 (   0   ~;   0   |;   0   &;  11   @)
% 0.13/0.40  %                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
% 0.13/0.40  %            Maximal formula depth :    9 (   9 avg)
% 0.13/0.40  %            Number of types       :    2 (   1 usr)
% 0.13/0.40  %            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
% 0.13/0.40  %            Number of symbols     :    0 (   0 usr;   0 con; --- aty)
% 0.13/0.40  %            Number of variables   :    9 (   0   ^;   5   !;   4   ?;   9   :)
% 0.13/0.40  % SPC      : TH0_THM_NEQ_NAR_NDT
% 0.13/0.40  
% 0.13/0.40  % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.13/0.40  %            project in the Department of Mathematical Sciences at Carnegie
% 0.13/0.40  %            Mellon University. Distributed under the Creative Commons copyleft
% 0.13/0.40  %            license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.13/0.40  %------------------------------------------------------------------------------
% 0.13/0.40  thf(a_type,type,
% 0.13/0.40      a: $tType ).
% 0.13/0.40  
% 0.13/0.40  thf(cTHM534,conjecture,
% 0.13/0.40      ( ! [Xs: ( a > $o ) > $o] :
% 0.13/0.40          ( ! [X: a > $o] :
% 0.13/0.40              ( ( Xs @ X )
% 0.13/0.40             => ? [Xt: a] : ( X @ Xt ) )
% 0.13/0.40         => ? [Xf: ( a > $o ) > a] :
% 0.13/0.40            ! [X: a > $o] :
% 0.13/0.40              ( ( Xs @ X )
% 0.13/0.40             => ( X @ ( Xf @ X ) ) ) )
% 0.13/0.40     => ! [Xg: ( ( a > $o ) > a ) > a > $o] :
% 0.13/0.40          ( ! [Xh: ( a > $o ) > a] :
% 0.13/0.40            ? [Xu: a] : ( Xg @ Xh @ Xu )
% 0.13/0.40         => ? [Xf: ( a > $o ) > a] : ( Xg @ Xf @ ( Xf @ ( Xg @ Xf ) ) ) ) ) ).
% 0.13/0.40  
% 0.13/0.40  %------------------------------------------------------------------------------
% 0.13/0.40  ------------------------
% 0.13/0.40  /starexec/sw/sutcliffe/jdk-11.0.2/bin/java: Command not found.
% 0.13/0.41  ---- Embedded in THF ---
% 0.13/0.41  ------------------------
% 0.13/0.43  ---- Cleaned THF ---
% 0.13/0.43  ------------------------
% 0.13/0.46  % (1317567)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1317548 for (2999ds/2Mi)
% 0.13/0.46  % (1317567)First to succeed.
% 0.13/0.46  % SZS status Satisfiable for DTF2THF_1317548
% 0.13/0.46  % (1317567)# SZS output start Saturation.
% 0.13/0.46  % (1317567)# SZS output end Saturation.
% 0.13/0.46  % (1317567)------------------------------
% 0.13/0.46  % (1317567)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.46  % (1317567)Termination reason: Satisfiable
% 0.13/0.46  
% 0.13/0.46  % (1317567)Memory used [KB]: 5373
% 0.13/0.46  % (1317567)Time elapsed: 0.002 s
% 0.13/0.46  % (1317567)Instructions burned: 1 (million)
% 0.13/0.46  % (1317567)------------------------------
% 0.13/0.46  % (1317567)------------------------------
% 0.13/0.46  % (1317563)Success in time 0.012 s
%------------------------------------------------------------------------------