%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : CSR120^1 : 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 : n009.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 08:43:00 AM UTC 2026
% Result : Theorem 1.52s 1.28s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 2
% Syntax : Number of formulae : 22 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 165 ( 21 equ; 0 cnn)
% Maximal formula atoms : 8 ( 7 avg)
% Number of connectives : 166 ( 39 ~; 15 |; 0 &; 112 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 8 !; 4 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
num: $tType ).
thf(func_def_1,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(func_def_5,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(func_def_6,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(func_def_14,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f32,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f31,f11]) ).
thf(f11,plain,
! [X0: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i ) )
!= $true ),
inference(cnf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
! [X0: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i ) )
!= $true ),
inference(ennf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
~ ? [X0: $i] :
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i ) )
= $true ),
inference(fool_elimination,[status(thm)],[f7]) ).
thf(f7,plain,
~ ? [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i ) ),
inference(rectify,[status(thm)],[f3]) ).
thf(f3,negated_conjecture,
~ ? [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i ) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
thf(f2,conjecture,
? [X0: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i ) ),
file('/export/starexec/sandbox/tmp/tmp.BYwPyN8q1n/DTF2THF_31239.p',con) ).
thf(f31,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f30]) ).
thf(f30,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f29]) ).
thf(f29,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| $false ) )
= $true ),
inference(boolean_simplification,[status(thm)],[f28]) ).
thf(f28,plain,
( $true
= ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ $true ) ) ),
inference(backward_demodulation,[status(thm)],[f10,f27]) ).
thf(f27,plain,
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ),
inference(condensation,[status(thm)],[f26]) ).
thf(f26,plain,
! [X0: $i] :
( ( ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i )
= $true )
| ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
= $true ) ),
inference(not_proxy_clausification,[status(thm)],[f22]) ).
thf(f22,plain,
! [X0: $i] :
( ( ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
= $false )
| ( ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f21]) ).
thf(f21,plain,
! [X0: $i] :
( ( ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i )
= $true )
| ( $false
= ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
inference(not_proxy_clausification,[status(thm)],[f14]) ).
thf(f14,plain,
! [X0: $i] :
( ( ( ~ ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) )
= $true )
| ( ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i )
= $true ) ),
inference(binary_proxy_clausification,[status(thm)],[f13]) ).
thf(f13,plain,
! [X0: $i] :
( ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i )
!= ( ~ ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ),
inference(trivial_inequality_removal,[status(thm)],[f12]) ).
thf(f12,plain,
! [X0: $i] :
( ( ( likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i )
!= ( ~ ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ) ) )
| ( $true != $true ) ),
inference(constrained_superposition,[status(thm)],[f11,f10]) ).
thf(f10,plain,
( ( 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 ) ) )
= $true ),
inference(cnf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
( ( 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 ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f5]) ).
thf(f5,plain,
( 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 ) ) ),
inference(rectify,[status(thm)],[f1]) ).
thf(f1,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 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.BYwPyN8q1n/DTF2THF_31239.p',ax) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : CSR120^1 : TPTP v9.2.1. Released v4.1.0.
% 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n009.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 05:45:55 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.29/0.45 ---- Original DTF file ---
% 0.29/0.45 thf(spec,logic,$$dhol).
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 % File : CSR120^1 : TPTP v9.2.1. Released v4.1.0.
% 0.29/0.45 % Domain : Commonsense Reasoning
% 0.29/0.45 % Problem : Did someone like Bill in 2009?
% 0.29/0.45 % Version : Especial > Reduced > Especial.
% 0.29/0.45 % English : During 2009 Mary liked Bill and Sue liked Bill (formulated via
% 0.29/0.45 % de-Morgan rule instead of a simply using and). Is it the case
% 0.29/0.45 % that someone liked Bill during 2009?
% 0.29/0.45
% 0.29/0.45 % Refs : [BP10] Benzmueller & Pease (2010), Progress in Automating Hig
% 0.29/0.45 % : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.29/0.45 % Source : [Ben10]
% 0.29/0.45 % Names : ef_2.tq_SUMO_local [Ben10]
% 0.29/0.45
% 0.29/0.45 % Status : Theorem
% 0.29/0.45 % 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, 0.17 v5.5.0, 0.20 v5.4.0, 0.25 v5.3.0, 0.50 v4.1.0
% 0.29/0.45 % Syntax : Number of formulae : 10 ( 0 unt; 8 typ; 0 def)
% 0.29/0.45 % Number of atoms : 8 ( 0 equ; 3 cnn)
% 0.29/0.45 % Maximal formula atoms : 6 ( 4 avg)
% 0.29/0.45 % Number of connectives : 19 ( 3 ~; 1 |; 0 &; 15 @)
% 0.29/0.45 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.29/0.45 % Maximal formula depth : 7 ( 6 avg)
% 0.29/0.45 % Number of types : 3 ( 1 usr)
% 0.29/0.45 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.29/0.45 % Number of symbols : 8 ( 7 usr; 5 con; 0-2 aty)
% 0.29/0.45 % Number of variables : 1 ( 0 ^; 0 !; 1 ?; 1 :)
% 0.29/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.29/0.45
% 0.29/0.45 % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.29/0.45 % Initally the problem has been hand generated in KIF syntax in
% 0.29/0.45 % SigmaKEE and then automatically translated by Benzmueller's
% 0.29/0.45 % KIF2TH0 translator into THF syntax.
% 0.29/0.45 % : The translation has been applied in two modes: local and SInE.
% 0.29/0.45 % The local mode only translates the local assumptions and the
% 0.29/0.45 % query. The SInE mode additionally translates the SInE-extract
% 0.29/0.45 % of the loaded knowledge base (usually SUMO).
% 0.29/0.45 % : The examples are selected to illustrate the benefits of
% 0.29/0.45 % higher-order reasoning in ontology reasoning.
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 %----The extracted signature
% 0.29/0.45 thf(numbers,type,
% 0.29/0.45 num: $tType ).
% 0.29/0.45
% 0.29/0.45 thf(holdsDuring_THFTYPE_IiooI,type,
% 0.29/0.45 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.29/0.45
% 0.29/0.45 thf(lBill_THFTYPE_i,type,
% 0.29/0.45 lBill_THFTYPE_i: $i ).
% 0.29/0.45
% 0.29/0.45 thf(lMary_THFTYPE_i,type,
% 0.29/0.45 lMary_THFTYPE_i: $i ).
% 0.29/0.45
% 0.29/0.45 thf(lSue_THFTYPE_i,type,
% 0.29/0.45 lSue_THFTYPE_i: $i ).
% 0.29/0.45
% 0.29/0.45 thf(lYearFn_THFTYPE_IiiI,type,
% 0.29/0.45 lYearFn_THFTYPE_IiiI: $i > $i ).
% 0.29/0.45
% 0.29/0.45 thf(likes_THFTYPE_IiioI,type,
% 0.29/0.45 likes_THFTYPE_IiioI: $i > $i > $o ).
% 0.29/0.45
% 0.29/0.45 thf(n2009_THFTYPE_i,type,
% 0.29/0.45 n2009_THFTYPE_i: $i ).
% 0.29/0.45
% 0.29/0.45 %----The translated axioms
% 0.29/0.45 thf(ax,axiom,
% 0.29/0.45 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 0.29/0.45 @ ( (~)
% 0.29/0.45 @ ( ( (~) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
% 0.29/0.45 | ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ) ) ).
% 0.29/0.45
% 0.29/0.45 %----The translated conjecture
% 0.29/0.45 thf(con,conjecture,
% 0.29/0.45 ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) ).
% 0.29/0.45
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 ------------------------
% 1.52/1.25 ---- Embedded in THF ---
% 1.52/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.52/1.25 %%% Generated on Tue Feb 24 05:45:56 EST 2026
% 1.52/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.52/1.25 %%% Logic specification used:
% 1.52/1.25 %%% thf(spec, logic, $$dhol).
% 1.52/1.25
% 1.52/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.BYwPyN8q1n/DTF2DTF31239.p
% See solution above
% 1.52/1.25 ------------------------
% 1.52/1.26 ---- Cleaned THF ---
% 1.52/1.26 thf(numbers,type,
% 1.52/1.26 num: $tType ).
% 1.52/1.26
% 1.52/1.26 thf(holdsDuring_THFTYPE_IiooI,type,
% 1.52/1.26 holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 1.52/1.26
% 1.52/1.26 thf(lBill_THFTYPE_i,type,
% 1.52/1.26 lBill_THFTYPE_i: $i ).
% 1.52/1.26
% 1.52/1.26 thf(lMary_THFTYPE_i,type,
% 1.52/1.26 lMary_THFTYPE_i: $i ).
% 1.52/1.26
% 1.52/1.26 thf(lSue_THFTYPE_i,type,
% 1.52/1.26 lSue_THFTYPE_i: $i ).
% 1.52/1.26
% 1.52/1.26 thf(lYearFn_THFTYPE_IiiI,type,
% 1.52/1.26 lYearFn_THFTYPE_IiiI: $i > $i ).
% 1.52/1.26
% 1.52/1.26 thf(likes_THFTYPE_IiioI,type,
% 1.52/1.26 likes_THFTYPE_IiioI: $i > $i > $o ).
% 1.52/1.26
% 1.52/1.26 thf(n2009_THFTYPE_i,type,
% 1.52/1.26 n2009_THFTYPE_i: $i ).
% 1.52/1.26
% 1.52/1.26 thf(ax,axiom,
% 1.52/1.26 ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
% 1.52/1.26 @ ( (~)
% 1.52/1.26 @ ( ( (~) @ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) )
% 1.52/1.26 | ( (~) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ) ) ) ) ).
% 1.52/1.26
% 1.52/1.26 thf(con,conjecture,
% 1.52/1.26 ? [Y: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ Y @ lBill_THFTYPE_i ) ) ).
% 1.52/1.26 ------------------------
% 1.52/1.27 % (31342)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_31239 for (3000ds/18Mi)
% 1.52/1.27 % (31337)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_31239 for (3000ds/4Mi)
% 1.52/1.28 % (31342)First to succeed.
% 1.52/1.28 % (31342)Refutation found. Thanks to Tanya!
% 1.52/1.28 % SZS status Theorem for DTF2THF_31239
% 1.52/1.28 % SZS output start Proof for DTF2THF_31239
% 1.52/1.28 thf(func_def_0, type, num: $tType).
% 1.52/1.28 thf(func_def_1, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 1.52/1.28 thf(func_def_5, type, lYearFn_THFTYPE_IiiI: $i > $i).
% 1.52/1.28 thf(func_def_6, type, likes_THFTYPE_IiioI: $i > $i > $o).
% 1.52/1.28 thf(func_def_14, type, ph1: !>[X0: $tType]:(X0)).
% 1.52/1.28 thf(f32,plain,(
% 1.52/1.28 $false),
% 1.52/1.28 inference(subsumption_resolution,[status(thm)],[f31,f11])).
% 1.52/1.28 thf(f11,plain,(
% 1.52/1.28 ( ! [X0 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i)) != $true)) )),
% 1.52/1.28 inference(cnf_transformation,[status(thm)],[f9])).
% 1.52/1.28 thf(f9,plain,(
% 1.52/1.28 ! [X0 : $i] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i)) != $true)),
% 1.52/1.28 inference(ennf_transformation,[status(thm)],[f8])).
% 1.52/1.28 thf(f8,plain,(
% 1.52/1.28 ~? [X0 : $i] : ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i)) = $true)),
% 1.52/1.28 inference(fool_elimination,[status(thm)],[f7])).
% 1.52/1.28 thf(f7,plain,(
% 1.52/1.28 ~? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 1.52/1.28 inference(rectify,[status(thm)],[f3])).
% 1.52/1.28 thf(f3,negated_conjecture,(
% 1.52/1.28 ~? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 1.52/1.28 inference(negated_conjecture,[status(cth)],[f2])).
% 1.52/1.28 thf(f2,conjecture,(
% 1.52/1.28 ? [X0 : $i] : (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i))),
% 1.52/1.28 file('/export/starexec/sandbox/tmp/tmp.BYwPyN8q1n/DTF2THF_31239.p',con)).
% 1.52/1.28 thf(f31,plain,(
% 1.52/1.28 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) = $true)),
% 1.52/1.28 inference(boolean_simplification,[status(thm)],[f30])).
% 1.52/1.28 thf(f30,plain,(
% 1.52/1.28 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ (~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)))) = $true)),
% 1.52/1.28 inference(boolean_simplification,[status(thm)],[f29])).
% 1.52/1.28 thf(f29,plain,(
% 1.52/1.28 ((holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | $false))) = $true)),
% 1.52/1.28 inference(boolean_simplification,[status(thm)],[f28])).
% 1.52/1.28 thf(f28,plain,(
% 1.52/1.28 ($true = (holdsDuring_THFTYPE_IiooI @ (lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i) @ (~ ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | (~ $true)))))),
% 1.52/1.28 inference(backward_demodulation,[status(thm)],[f10,f27])).
% 1.52/1.28 thf(f27,plain,(
% 1.52/1.28 ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)),
% 1.52/1.28 inference(condensation,[status(thm)],[f26])).
% 1.52/1.28 thf(f26,plain,(
% 1.52/1.28 ( ! [X0 : $i] : (((likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i) = $true) | ((likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i) = $true)) )),
% 1.52/1.28 inference(not_proxy_clausification,[status(thm)],[f22])).
% 1.52/1.28 thf(f22,plain,(
% 1.52/1.28 ( ! [X0 : $i] : (((~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)) = $false) | ((likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i) = $true)) )),
% 1.52/1.28 inference(binary_proxy_clausification,[status(thm)],[f21])).
% 1.52/1.28 thf(f21,plain,(
% 1.52/1.28 ( ! [X0 : $i] : (((likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i) = $true) | ($false = ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))) )),
% 1.52/1.28 inference(not_proxy_clausification,[status(thm)],[f14])).
% 1.52/1.28 thf(f14,plain,(
% 1.52/1.28 ( ! [X0 : $i] : (((~ ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))) = $true) | ((likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i) = $true)) )),
% 1.52/1.28 inference(binary_proxy_clausification,[status(thm)],[f13])).
% 1.52/1.28 thf(f13,plain,(
% 1.52/1.28 ( ! [X0 : $i] : (((likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i) != (~ ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i)))))) )),
% 1.52/1.28 inference(trivial_inequality_removal,[status(thm)],[f12])).
% 1.52/1.28 thf(f12,plain,(
% 1.52/1.28 ( ! [X0 : $i] : (((likes_THFTYPE_IiioI @ X0 @ lBill_THFTYPE_i) != (~ ((~ (likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i)) | (~ (likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i))))) | ($true != $true)) )),
% 1.52/1.28 inference(constrained_superposition,[status(thm)],[f11,f10])).
% 1.52/1.28 thf(f10,plain,(
% 1.52/1.28 ((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))))) = $true)),
% 1.52/1.28 inference(cnf_transformation,[status(thm)],[f6])).
% 1.52/1.28 thf(f6,plain,(
% 1.52/1.28 ((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))))) = $true)),
% 1.52/1.28 inference(fool_elimination,[status(thm)],[f5])).
% 1.52/1.28 thf(f5,plain,(
% 1.52/1.28 (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))))),
% 1.52/1.28 inference(rectify,[status(thm)],[f1])).
% 1.52/1.28 thf(f1,axiom,(
% 1.52/1.28 (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))))),
% 1.52/1.28 file('/export/starexec/sandbox/tmp/tmp.BYwPyN8q1n/DTF2THF_31239.p',ax)).
% 1.52/1.28 % SZS output end Proof for DTF2THF_31239
% 1.52/1.28 % (31342)------------------------------
% 1.52/1.28 % (31342)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.28 % (31342)Termination reason: Refutation
% 1.52/1.28
% 1.52/1.28 % (31342)Memory used [KB]: 5500
% 1.52/1.28 % (31342)Time elapsed: 0.002 s
% 1.52/1.28 % (31342)Instructions burned: 2 (million)
% 1.52/1.28 % (31342)------------------------------
% 1.52/1.28 % (31342)------------------------------
% 1.52/1.28 % (31335)Success in time 0.002 s
%------------------------------------------------------------------------------