%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR151^1 : 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 : n031.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 08:43:14 AM UTC 2026
% Result : Theorem 1.69s 1.45s
% Output : Refutation 1.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : CSR151^1 : TPTP v9.2.1. Released v4.1.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.34 % Computer : n031.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Tue Feb 24 05:54:48 EST 2026
% 0.18/0.35 % CPUTime :
% 0.18/0.35 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.34/0.48 ---- Original DTF file ---
% 0.34/0.48 thf(spec,logic,$$dhol).
% 0.34/0.48 %------------------------------------------------------------------------------
% 0.34/0.48 % File : CSR151^1 : TPTP v9.2.1. Released v4.1.0.
% 0.34/0.48 % Domain : Commonsense Reasoning
% 0.34/0.48 % Problem : Is it the case that in 2009 Sue liked Bill and Mary liked Bill?
% 0.34/0.48 % Version : Especial > Reduced > Especial.
% 0.34/0.48 % English : During 2009 Mary liked Bill and Sue liked Bill. Is it the case
% 0.34/0.48 % that in 2009 Sue liked Bill and Mary liked Bill?
% 0.34/0.48
% 0.34/0.48 % Refs : [PS07] Pease & Sutcliffe (2007), First Order Reasoning on a L
% 0.34/0.48 % : [BP10] Benzmueller & Pease (2010), Progress in Automating Hig
% 0.34/0.48 % : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.34/0.48 % Source : [Ben10]
% 0.34/0.48 % Names : paar_7.tq_SUMO_local [Ben10]
% 0.34/0.48
% 0.34/0.48 % Status : Theorem
% 0.34/0.48 % 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 v5.0.0, 0.50 v4.1.0
% 0.34/0.48 % Syntax : Number of formulae : 10 ( 0 unt; 8 typ; 0 def)
% 0.34/0.48 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.34/0.48 % Maximal formula atoms : 3 ( 3 avg)
% 0.34/0.48 % Number of connectives : 16 ( 0 ~; 0 |; 2 &; 14 @)
% 0.34/0.48 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.34/0.48 % Maximal formula depth : 5 ( 5 avg)
% 0.34/0.48 % Number of types : 3 ( 1 usr)
% 0.34/0.48 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.34/0.48 % Number of symbols : 7 ( 7 usr; 4 con; 0-2 aty)
% 0.34/0.48 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.34/0.48 % SPC : TH0_THM_NEQ_NAR
% 0.34/0.48
% 0.34/0.48 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.34/0.48 % Initally the problem has been hand generated in KIF syntax in
% 0.34/0.48 % SigmaKEE and then automatically translated by Benzmueller's
% 0.34/0.48 % KIF2TH0 translator into THF syntax.
% 0.34/0.48 % : The translation has been applied in two modes: local and SInE.
% 0.34/0.48 % The local mode only translates the local assumptions and the
% 0.34/0.48 % query. The SInE mode additionally translates the SInE-extract
% 0.34/0.48 % of the loaded knowledge base (usually SUMO).
% 0.34/0.48 % : The examples are selected to illustrate the benefits of
% 0.34/0.48 % higher-order reasoning in ontology reasoning.
% 0.34/0.48 %------------------------------------------------------------------------------
% 0.34/0.48 %----The extracted Signature
% 0.34/0.48 thf(numbers,type,
% 0.34/0.48 num: $tType ).
% 0.34/0.48
% 0.34/0.48 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.34/0.48 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.34/0.48
% 0.34/0.48 thf(lBill_THFTYPE_i,type,
% 0.34/0.48 lBill_THFTYPE_i: $i ).
% 0.34/0.48
% 0.34/0.48 thf(lMary_THFTYPE_i,type,
% 0.34/0.48 lMary_THFTYPE_i: $i ).
% 0.34/0.48
% 0.34/0.48 thf(lSue_THFTYPE_i,type,
% 0.34/0.48 lSue_THFTYPE_i: $i ).
% 0.34/0.48
% 0.34/0.48 thf(lYearFn_THFTYPE_IiiI,type,
% 0.34/0.48 lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.34/0.48
% 0.34/0.48 thf(likes_THFTYPE_IiioI,type,
% 0.34/0.48 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.34/0.48
% 0.34/0.48 thf(n2009_THFTYPE_i,type,
% 0.34/0.48 n2009_THFTYPE_i: $i ).
% 0.34/0.48
% 0.34/0.48 %----The translated axioms
% 0.34/0.48 thf(ax,axiom,
% 0.34/0.48 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.34/0.48 @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
% 0.34/0.48 & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ).
% 0.34/0.48
% 0.34/0.48 %----The translated conjectures
% 0.34/0.48 thf(con,conjecture,
% 0.34/0.48 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.34/0.48 @ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
% 0.34/0.48 & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ).
% 0.34/0.48
% 0.34/0.48 %------------------------------------------------------------------------------
% 0.34/0.48 ------------------------
% 1.69/1.42 ---- Embedded in THF ---
% 1.69/1.42 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.69/1.42 %%% Generated on Tue Feb 24 05:54:49 EST 2026
% 1.69/1.42 %%% using '$$dhol' embedding, version 1.3.0.
% 1.69/1.42 %%% Logic specification used:
% 1.69/1.42 %%% thf(spec, logic, $$dhol).
% 1.69/1.42
% 1.69/1.42 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.6KcAqSLAae/DTF2DTF32572.p
% 1.69/1.42 thf(numbers, type, num: $tType).
% 1.69/1.42 thf(holdsDuring_THFTYPE_IiooI, type, holdsDuring_THFTYPE_IiooI: ($i > ($o > $o))).
% 1.69/1.42 thf(lBill_THFTYPE_i, type, lBill_THFTYPE_i: $i).
% 1.69/1.42 thf(lMary_THFTYPE_i, type, lMary_THFTYPE_i: $i).
% 1.69/1.42 thf(lSue_THFTYPE_i, type, lSue_THFTYPE_i: $i).
% 1.69/1.42 thf(lYearFn_THFTYPE_IiiI, type, lYearFn_THFTYPE_IiiI: ($i > $i)).
% 1.69/1.42 thf(likes_THFTYPE_IiioI, type, likes_THFTYPE_IiioI: ($i > ($i > $o))).
% 1.69/1.42 thf(n2009_THFTYPE_i, type, n2009_THFTYPE_i: $i).
% 1.69/1.42 thf(ax, axiom, ((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)))).
% 1.69/1.42 thf(con, conjecture, ((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)))).
% 1.69/1.42 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.6KcAqSLAae/DTF2DTF32572.p
% 1.69/1.42 ------------------------
% 1.69/1.43 ---- Cleaned THF ---
% 1.69/1.43 thf(numbers,type,
% 1.69/1.43 num: $tType ).
% 1.69/1.43
% 1.69/1.43 thf(holdsDuring_THFTYPE_IiooI,type,
% 1.69/1.43 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 1.69/1.43
% 1.69/1.43 thf(lBill_THFTYPE_i,type,
% 1.69/1.43 lBill_THFTYPE_i: $i ).
% 1.69/1.43
% 1.69/1.43 thf(lMary_THFTYPE_i,type,
% 1.69/1.43 lMary_THFTYPE_i: $i ).
% 1.69/1.43
% 1.69/1.43 thf(lSue_THFTYPE_i,type,
% 1.69/1.43 lSue_THFTYPE_i: $i ).
% 1.69/1.43
% 1.69/1.43 thf(lYearFn_THFTYPE_IiiI,type,
% 1.69/1.43 lYearFn_THFTYPE_IiiI: $i > $i ).
% 1.69/1.43
% 1.69/1.43 thf(likes_THFTYPE_IiioI,type,
% 1.69/1.43 likes_THFTYPE_IiioI: $i > $i > $o ).
% 1.69/1.43
% 1.69/1.43 thf(n2009_THFTYPE_i,type,
% 1.69/1.43 n2009_THFTYPE_i: $i ).
% 1.69/1.43
% 1.69/1.43 thf(ax,axiom,
% 1.69/1.43 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 1.69/1.43 @ ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
% 1.69/1.43 & ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ).
% 1.69/1.43
% 1.69/1.43 thf(con,conjecture,
% 1.69/1.43 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 1.69/1.43 @ ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
% 1.69/1.43 & ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ).
% 1.69/1.43 ------------------------
% 1.69/1.45 % (32670)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_32572 for (2999ds/4Mi)
% 1.69/1.45 % (32675)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_32572 for (2999ds/18Mi)
% 1.69/1.45 % (32669)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_32572 for (2999ds/183Mi)
% 1.69/1.45 % (32671)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_32572 for (2999ds/27Mi)
% 1.69/1.45 % (32674)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_32572 for (2999ds/275Mi)
% 1.69/1.45 % (32673)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_32572 for (2999ds/2Mi)
% 1.69/1.45 % (32672)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_32572 for (2999ds/2Mi)
% 1.69/1.45 % (32672)Instruction limit reached!
% 1.69/1.45 % (32672)------------------------------
% 1.69/1.45 % (32672)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.45 % (32672)Termination reason: Unknown
% 1.69/1.45 % (32674)First to succeed.
% 1.69/1.45 % (32673)Instruction limit reached!
% 1.69/1.45 % (32673)------------------------------
% 1.69/1.45 % (32673)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.45 % (32672)Termination phase: Saturation
% 1.69/1.45
% 1.69/1.45 % (32672)Memory used [KB]: 5373
% 1.69/1.45 % (32672)Time elapsed: 0.003 s
% 1.69/1.45 % (32672)Instructions burned: 2 (million)
% 1.69/1.45 % (32672)------------------------------
% 1.69/1.45 % (32672)------------------------------
% 1.69/1.45 % (32673)Termination reason: Unknown
% 1.69/1.45 % (32673)Termination phase: Saturation
% 1.69/1.45
% 1.69/1.45 % (32673)Memory used [KB]: 5500
% 1.69/1.45 % (32673)Time elapsed: 0.003 s
% 1.69/1.45 % (32673)Instructions burned: 2 (million)
% 1.69/1.45 % (32673)------------------------------
% 1.69/1.45 % (32673)------------------------------
% 1.69/1.45 % (32671)Also succeeded, but the first one will report.
% 1.69/1.45 % (32674)Refutation found. Thanks to Tanya!
% 1.69/1.45 % SZS status Theorem for DTF2THF_32572
% 1.69/1.45 % SZS output start Proof for DTF2THF_32572
% 1.69/1.45 thf(func_def_0, type, num: $tType).
% 1.69/1.45 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 1.69/1.45 thf(func_def_5, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 1.69/1.45 thf(func_def_6, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 1.69/1.45 thf(func_def_13, type, ph1: !>[X0: $tType]:(X0)).
% 1.69/1.45 thf(f12,plain,(
% 1.69/1.45 $false),
% 1.69/1.45 inference(subsumption_resolution,[status(thm)],[f11,f10])).
% 1.69/1.45 thf(f10,plain,(
% 1.69/1.45 ((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))) = $true)),
% 1.69/1.45 inference(cnf_transformation,[status(thm)],[f8])).
% 1.69/1.45 thf(f8,plain,(
% 1.69/1.45 ((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))) = $true)),
% 1.69/1.45 inference(fool_elimination,[status(thm)],[f7])).
% 1.69/1.45 thf(f7,plain,(
% 1.69/1.45 (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))),
% 1.69/1.45 inference(rectify,[status(thm)],[f1])).
% 1.69/1.45 thf(f1,axiom,(
% 1.69/1.45 (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))),
% 1.69/1.45 file('/export/starexec/sandbox/tmp/tmp.6KcAqSLAae/DTF2THF_32572.p',ax)).
% 1.69/1.45 thf(f11,plain,(
% 1.69/1.45 ((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))) != $true)),
% 1.69/1.45 inference(cnf_transformation,[status(thm)],[f9])).
% 1.69/1.45 thf(f9,plain,(
% 1.69/1.45 ((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))) != $true)),
% 1.69/1.45 inference(flattening,[status(thm)],[f6])).
% 1.69/1.45 thf(f6,plain,(
% 1.69/1.45 ~((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))) = $true)),
% 1.69/1.45 inference(fool_elimination,[status(thm)],[f5])).
% 1.69/1.45 thf(f5,plain,(
% 1.69/1.45 ~(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))),
% 1.69/1.45 inference(rectify,[status(thm)],[f3])).
% 1.69/1.45 thf(f3,negated_conjecture,(
% 1.69/1.45 ~(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))),
% 1.69/1.45 inference(negated_conjecture,[status(cth)],[f2])).
% 1.69/1.45 thf(f2,conjecture,(
% 1.69/1.45 (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))),
% 1.69/1.45 file('/export/starexec/sandbox/tmp/tmp.6KcAqSLAae/DTF2THF_32572.p',con)).
% 1.69/1.45 % SZS output end Proof for DTF2THF_32572
% 1.69/1.45 % (32674)------------------------------
% 1.69/1.45 % (32674)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.69/1.45 % (32674)Termination reason: Refutation
% 1.69/1.45
% 1.69/1.45 % (32674)Memory used [KB]: 5500
% 1.69/1.45 % (32674)Time elapsed: 0.003 s
% 1.69/1.45 % (32674)Instructions burned: 1 (million)
% 1.69/1.45 % (32674)------------------------------
% 1.69/1.45 % (32674)------------------------------
% 1.69/1.45 % (32668)Success in time 0.018 s
%------------------------------------------------------------------------------