%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : LCL181^4 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n010.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 11:33:46 AM UTC 2026
% Result : CounterSatisfiable 0.13s 0.43s
% Output : Saturation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL181^4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.35 % Computer : n010.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 05:39:38 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 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 : LCL181^4 : TPTP v9.3.1. Released v4.0.0.
% 0.13/0.38 % Domain : Logic Calculi (Intuitionistic logic)
% 0.13/0.38 % Problem : Principia Mathematica 2.15
% 0.13/0.38 % Version : [Goe33] axioms.
% 0.13/0.38 % English :
% 0.13/0.38
% 0.13/0.38 % Refs : [Goe33] Goedel (1933), An Interpretation of the Intuitionistic
% 0.13/0.38 % : [Gol06] Goldblatt (2006), Mathematical Modal Logic: A View of
% 0.13/0.38 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.13/0.38 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.13/0.38 % : [BP10] Benzmueller & Paulson (2009), Exploring Properties of
% 0.13/0.38 % Source : [Ben09]
% 0.13/0.38 % Names :
% 0.13/0.38
% 0.13/0.38 % Status : CounterSatisfiable
% 0.13/0.38 % 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
% 0.13/0.38 % Syntax : Number of formulae : 44 ( 20 unt; 22 typ; 19 def)
% 0.13/0.38 % Number of atoms : 77 ( 19 equ; 0 cnn)
% 0.13/0.38 % Maximal formula atoms : 14 ( 3 avg)
% 0.13/0.38 % Number of connectives : 68 ( 3 ~; 1 |; 2 &; 60 @)
% 0.13/0.38 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.13/0.38 % Maximal formula depth : 8 ( 2 avg)
% 0.13/0.38 % Number of types : 2 ( 0 usr)
% 0.13/0.38 % Number of type conns : 97 ( 97 >; 0 *; 0 +; 0 <<)
% 0.13/0.38 % Number of symbols : 24 ( 22 usr; 1 con; 0-3 aty)
% 0.13/0.38 % Number of variables : 40 ( 31 ^; 7 !; 2 ?; 40 :)
% 0.13/0.38 % SPC : TH0_CSA_EQU_NAR_NDT
% 0.13/0.38
% 0.13/0.38 % Comments : This is an ILTP problem embedded in TH0.
% 0.13/0.38 % : In classical logic this is a Theorem.
% 0.13/0.38 %------------------------------------------------------------------------------
% 0.13/0.38 include('Axioms/LCL010^0.ax').
% 0.13/0.38 %------------------------------------------------------------------------------
% 0.13/0.38 thf(p_type,type,
% 0.13/0.38 p: $i > $o ).
% 0.13/0.38
% 0.13/0.38 thf(q_type,type,
% 0.13/0.38 q: $i > $o ).
% 0.13/0.38
% 0.13/0.38 thf(pel4,conjecture,
% 0.13/0.38 ivalid @ ( iequiv @ ( iimplies @ ( inot @ ( iatom @ p ) ) @ ( iatom @ q ) ) @ ( iimplies @ ( inot @ ( iatom @ q ) ) @ ( iatom @ p ) ) ) ).
% 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.
% 0.13/0.39 ---- Embedded in THF ---
% 0.13/0.39 ------------------------
% 0.13/0.40 ---- Cleaned THF ---
% 0.13/0.41 ------------------------
% 0.13/0.43 % (438416)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_438400 for (3000ds/183Mi)
% 0.13/0.43 % (438416)First to succeed.
% 0.13/0.43 % SZS status Satisfiable for DTF2THF_438400
% 0.13/0.43 % (438416)# SZS output start Saturation.
% 0.13/0.43 % (438416)# SZS output end Saturation.
% 0.13/0.43 % (438416)------------------------------
% 0.13/0.43 % (438416)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.13/0.43 % (438416)Termination reason: Satisfiable
% 0.13/0.43
% 0.13/0.43 % (438416)Memory used [KB]: 5373
% 0.13/0.43 % (438416)Time elapsed: 0.002 s
% 0.13/0.43 % (438416)Instructions burned: 1 (million)
% 0.13/0.43 % (438416)------------------------------
% 0.13/0.43 % (438416)------------------------------
% 0.13/0.43 % (438415)Success in time 0.01 s
%------------------------------------------------------------------------------