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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : CSR124^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Feb 25 08:43:02 AM UTC 2026

% Result   : Theorem 1.68s 1.43s
% Output   : Refutation 1.68s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : CSR124^1 : TPTP v9.2.1. Released v4.1.0.
% 0.00/0.12  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34  % Computer : n001.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Tue Feb 24 05:48:50 EST 2026
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.46  ---- Original DTF file ---
% 0.18/0.47  thf(spec,logic,$$dhol).
% 0.18/0.47  %------------------------------------------------------------------------------
% 0.18/0.47  % File     : CSR124^1 : TPTP v9.2.1. Released v4.1.0.
% 0.18/0.47  % Domain   : Commonsense Reasoning
% 0.18/0.47  % Problem  : Do Mary and Sue like Bill in 2009?
% 0.18/0.47  % Version  : Especial.
% 0.18/0.47  % English  : Mary likes Bill. During 2009 Sue likes Bill. Does it hold during 
% 0.18/0.47  %            year 2009 that Mary likes Bill and Sue likes Bill? 
% 0.18/0.47  
% 0.18/0.47  % Refs     : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.18/0.47  % Source   : [Ben10]
% 0.18/0.47  % Names    : ef_6.tq_SUMO_local [Ben10]
% 0.18/0.47  
% 0.18/0.47  % Status   : Theorem
% 0.18/0.47  % Rating   : 0.08 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 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 v6.2.0, 0.00 v6.1.0, 0.50 v6.0.0, 0.00 v5.3.0, 0.25 v4.1.0
% 0.18/0.47  % Syntax   : Number of formulae    :   11 (   1 unt;   8 typ;   0 def)
% 0.18/0.47  %            Number of atoms       :    6 (   0 equ;   0 cnn)
% 0.18/0.47  %            Maximal formula atoms :    3 (   2 avg)
% 0.18/0.47  %            Number of connectives :   15 (   0   ~;   0   |;   1   &;  14   @)
% 0.18/0.47  %                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
% 0.18/0.47  %            Maximal formula depth :    5 (   4 avg)
% 0.18/0.47  %            Number of types       :    3 (   1 usr)
% 0.18/0.47  %            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
% 0.18/0.47  %            Number of symbols     :    7 (   7 usr;   4 con; 0-2 aty)
% 0.18/0.47  %            Number of variables   :    0 (   0   ^;   0   !;   0   ?;   0   :)
% 0.18/0.47  % SPC      : TH0_THM_NEQ_NAR
% 0.18/0.47  
% 0.18/0.47  % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.18/0.47  %            Initally the problem has been hand generated in KIF syntax in
% 0.18/0.47  %            SigmaKEE and then automatically translated by Benzmueller's
% 0.18/0.47  %            KIF2TH0 translator into THF syntax.
% 0.18/0.47  %          : The translation has been applied in two modes: local and SInE.
% 0.18/0.47  %            The local mode only translates the local assumptions and the
% 0.18/0.47  %            query. The SInE mode additionally translates the SInE-extract
% 0.18/0.47  %            of the loaded knowledge base (usually SUMO).
% 0.18/0.47  %          : The examples are selected to illustrate the benefits of
% 0.18/0.47  %            higher-order reasoning in ontology reasoning.
% 0.18/0.47  %------------------------------------------------------------------------------
% 0.18/0.47  %----The extracted signature
% 0.18/0.47  thf(numbers,type,
% 0.18/0.47      num: $tType ).
% 0.18/0.47  
% 0.18/0.47  thf(holdsDuring_THFTYPE_IiooI,type,
% 0.18/0.47      holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.18/0.47  
% 0.18/0.47  thf(lBill_THFTYPE_i,type,
% 0.18/0.47      lBill_THFTYPE_i: $i ).
% 0.18/0.47  
% 0.18/0.47  thf(lMary_THFTYPE_i,type,
% 0.18/0.47      lMary_THFTYPE_i: $i ).
% 0.18/0.47  
% 0.18/0.47  thf(lSue_THFTYPE_i,type,
% 0.18/0.47      lSue_THFTYPE_i: $i ).
% 0.18/0.47  
% 0.18/0.47  thf(lYearFn_THFTYPE_IiiI,type,
% 0.18/0.47      lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.18/0.47  
% 0.18/0.47  thf(likes_THFTYPE_IiioI,type,
% 0.18/0.47      likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.18/0.47  
% 0.18/0.47  thf(n2009_THFTYPE_i,type,
% 0.18/0.47      n2009_THFTYPE_i: $i ).
% 0.18/0.47  
% 0.18/0.47  %----The translated axioms
% 0.18/0.47  thf(ax,axiom,
% 0.18/0.47      likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 0.18/0.47  
% 0.18/0.47  thf(ax_001,axiom,
% 0.18/0.47      holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 0.18/0.47  
% 0.18/0.47  %----The translated conjecture
% 0.18/0.47  thf(con,conjecture,
% 0.18/0.47      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.18/0.47      @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
% 0.18/0.47        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ).
% 0.18/0.47  
% 0.18/0.47  %------------------------------------------------------------------------------
% 0.18/0.47  ------------------------
% 1.48/1.39  ---- Embedded in THF ---
% 1.48/1.40  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.48/1.40  %%% Generated on Tue Feb 24 05:48:51 EST 2026
% 1.48/1.40  %%% using '$$dhol' embedding, version 1.3.0.
% 1.48/1.40  %%% Logic specification used:
% 1.48/1.40  %%% thf(spec, logic, $$dhol).
% 1.48/1.40  
% 1.48/1.40  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.gKyh1Ogtmn/DTF2DTF11567.p
% 1.48/1.40  thf(numbers, type, num: $tType).
% 1.48/1.40  thf(holdsDuring_THFTYPE_IiooI, type, holdsDuring_THFTYPE_IiooI: ($i > ($o > $o))).
% 1.48/1.40  thf(lBill_THFTYPE_i, type, lBill_THFTYPE_i: $i).
% 1.48/1.40  thf(lMary_THFTYPE_i, type, lMary_THFTYPE_i: $i).
% 1.48/1.40  thf(lSue_THFTYPE_i, type, lSue_THFTYPE_i: $i).
% 1.48/1.40  thf(lYearFn_THFTYPE_IiiI, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 1.48/1.40  thf(likes_THFTYPE_IiioI, type, likes_THFTYPE_IiioI: ($i > ($i > $o))).
% 1.48/1.40  thf(n2009_THFTYPE_i, type, n2009_THFTYPE_i: $i).
% 1.48/1.40  thf(ax, axiom, ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBill_THFTYPE_i)).
% 1.48/1.40  thf(ax_001, axiom, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lBill_THFTYPE_i))).
% 1.48/1.40  thf(con, conjecture, ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i)) @ (((likes_THFTYPE_IiioI @ lMary_THFTYPE_i) @ lBill_THFTYPE_i) & ((likes_THFTYPE_IiioI @ lSue_THFTYPE_i) @ lBill_THFTYPE_i)))).
% 1.48/1.40  % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.gKyh1Ogtmn/DTF2DTF11567.p
% 1.48/1.40  ------------------------
% 1.68/1.40  ---- Cleaned THF ---
% 1.68/1.41  thf(numbers,type,
% 1.68/1.41      num: $tType ).
% 1.68/1.41  
% 1.68/1.41  thf(holdsDuring_THFTYPE_IiooI,type,
% 1.68/1.41      holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 1.68/1.41  
% 1.68/1.41  thf(lBill_THFTYPE_i,type,
% 1.68/1.41      lBill_THFTYPE_i: $i ).
% 1.68/1.41  
% 1.68/1.41  thf(lMary_THFTYPE_i,type,
% 1.68/1.41      lMary_THFTYPE_i: $i ).
% 1.68/1.41  
% 1.68/1.41  thf(lSue_THFTYPE_i,type,
% 1.68/1.41      lSue_THFTYPE_i: $i ).
% 1.68/1.41  
% 1.68/1.41  thf(lYearFn_THFTYPE_IiiI,type,
% 1.68/1.41      lYearFn_THFTYPE_IiiI: $i > $i ).
% 1.68/1.41  
% 1.68/1.41  thf(likes_THFTYPE_IiioI,type,
% 1.68/1.41      likes_THFTYPE_IiioI: $i > $i > $o ).
% 1.68/1.41  
% 1.68/1.41  thf(n2009_THFTYPE_i,type,
% 1.68/1.41      n2009_THFTYPE_i: $i ).
% 1.68/1.41  
% 1.68/1.41  thf(ax,axiom,
% 1.68/1.41      likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ).
% 1.68/1.41  
% 1.68/1.41  thf(ax_001,axiom,
% 1.68/1.41      holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ).
% 1.68/1.41  
% 1.68/1.41  thf(con,conjecture,
% 1.68/1.41      ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 1.68/1.41      @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
% 1.68/1.41        & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ).
% 1.68/1.41  ------------------------
% 1.68/1.43  % (11666)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_11567 for (2999ds/4Mi)
% 1.68/1.43  % (11668)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_11567 for (2999ds/2Mi)
% 1.68/1.43  % (11665)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_11567 for (2999ds/183Mi)
% 1.68/1.43  % (11669)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_11567 for (2999ds/2Mi)
% 1.68/1.43  % (11670)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_11567 for (2999ds/275Mi)
% 1.68/1.43  % (11671)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_11567 for (2999ds/18Mi)
% 1.68/1.43  % (11667)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_11567 for (2999ds/27Mi)
% 1.68/1.43  % (11668)Instruction limit reached!
% 1.68/1.43  % (11668)------------------------------
% 1.68/1.43  % (11668)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.43  % (11670)First to succeed.
% 1.68/1.43  % (11668)Termination reason: Unknown
% 1.68/1.43  % (11668)Termination phase: Saturation
% 1.68/1.43  
% 1.68/1.43  % (11668)Memory used [KB]: 5500
% 1.68/1.43  % (11668)Time elapsed: 0.003 s
% 1.68/1.43  % (11668)Instructions burned: 2 (million)
% 1.68/1.43  % (11668)------------------------------
% 1.68/1.43  % (11668)------------------------------
% 1.68/1.43  % (11666)Also succeeded, but the first one will report.
% 1.68/1.43  % (11665)Also succeeded, but the first one will report.
% 1.68/1.43  % (11670)Refutation found. Thanks to Tanya!
% 1.68/1.43  % SZS status Theorem for DTF2THF_11567
% 1.68/1.43  % SZS output start Proof for DTF2THF_11567
% 1.68/1.43  thf(func_def_0, type, num: $tType).
% 1.68/1.43  thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 1.68/1.43  thf(func_def_5, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 1.68/1.43  thf(func_def_6, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 1.68/1.43  thf(func_def_13, type, ph1: !>[X0: $tType]:(X0)).
% 1.68/1.43  thf(f18,plain,(
% 1.68/1.43    $false),
% 1.68/1.43    inference(subsumption_resolution,[status(thm)],[f17,f14])).
% 1.68/1.43  thf(f14,plain,(
% 1.68/1.43    ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 1.68/1.43    inference(cnf_transformation,[status(thm)],[f9])).
% 1.68/1.43  thf(f9,plain,(
% 1.68/1.43    ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 1.68/1.43    inference(fool_elimination,[status(thm)],[f8])).
% 1.68/1.43  thf(f8,plain,(
% 1.68/1.43    (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.68/1.43    inference(rectify,[status(thm)],[f2])).
% 1.68/1.43  thf(f2,axiom,(
% 1.68/1.43    (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.68/1.43    file('/export/starexec/sandbox/tmp/tmp.gKyh1Ogtmn/DTF2THF_11567.p',ax_001)).
% 1.68/1.43  thf(f17,plain,(
% 1.68/1.43    ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) != $true)),
% 1.68/1.43    inference(boolean_simplification,[status(thm)],[f16])).
% 1.68/1.43  thf(f16,plain,(
% 1.68/1.43    ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ($true & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))),
% 1.68/1.43    inference(forward_demodulation,[status(thm)],[f15,f13])).
% 1.68/1.43  thf(f13,plain,(
% 1.68/1.43    ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 1.68/1.43    inference(cnf_transformation,[status(thm)],[f7])).
% 1.68/1.43  thf(f7,plain,(
% 1.68/1.43    ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 1.68/1.43    inference(fool_elimination,[status(thm)],[f6])).
% 1.68/1.43  thf(f6,plain,(
% 1.68/1.43    (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 1.68/1.43    inference(rectify,[status(thm)],[f1])).
% 1.68/1.43  thf(f1,axiom,(
% 1.68/1.43    (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)),
% 1.68/1.43    file('/export/starexec/sandbox/tmp/tmp.gKyh1Ogtmn/DTF2THF_11567.p',ax)).
% 1.68/1.43  thf(f15,plain,(
% 1.68/1.43    ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))),
% 1.68/1.43    inference(cnf_transformation,[status(thm)],[f12])).
% 1.68/1.43  thf(f12,plain,(
% 1.68/1.43    ($true != (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))),
% 1.68/1.43    inference(flattening,[status(thm)],[f11])).
% 1.68/1.43  thf(f11,plain,(
% 1.68/1.43    ~($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i))))),
% 1.68/1.43    inference(fool_elimination,[status(thm)],[f10])).
% 1.68/1.43  thf(f10,plain,(
% 1.68/1.43    ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.68/1.43    inference(rectify,[status(thm)],[f4])).
% 1.68/1.43  thf(f4,negated_conjecture,(
% 1.68/1.43    ~(holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.68/1.43    inference(negated_conjecture,[status(cth)],[f3])).
% 1.68/1.43  thf(f3,conjecture,(
% 1.68/1.43    (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i) & (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))),
% 1.68/1.43    file('/export/starexec/sandbox/tmp/tmp.gKyh1Ogtmn/DTF2THF_11567.p',con)).
% 1.68/1.43  % SZS output end Proof for DTF2THF_11567
% 1.68/1.43  % (11670)------------------------------
% 1.68/1.43  % (11670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.68/1.43  % (11670)Termination reason: Refutation
% 1.68/1.43  
% 1.68/1.43  % (11670)Memory used [KB]: 5500
% 1.68/1.43  % (11670)Time elapsed: 0.003 s
% 1.68/1.43  % (11670)Instructions burned: 1 (million)
% 1.68/1.43  % (11670)------------------------------
% 1.68/1.43  % (11670)------------------------------
% 1.68/1.43  % (11664)Success in time 0.018 s
%------------------------------------------------------------------------------