%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : PUZ146^1 : TPTP v9.2.1. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n027.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 09:28:37 AM UTC 2026
% Result : Theorem 1.50s 1.26s
% Output : Refutation 1.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 16 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 26 ( 8 ~; 0 |; 0 &; 18 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
earthling: $tType ).
thf(type_def_6,type,
hobby: $tType ).
thf(func_def_0,type,
hobby: $tType ).
thf(func_def_1,type,
earthling: $tType ).
thf(func_def_2,type,
peter: earthling ).
thf(func_def_3,type,
mary: earthling ).
thf(func_def_4,type,
beer_drinking: hobby ).
thf(func_def_5,type,
belly_dancing: hobby ).
thf(func_def_6,type,
weight_lifting: hobby ).
thf(func_def_7,type,
has_hobby: earthling > hobby > $o ).
thf(func_def_8,type,
peters_hobbies: hobby > $o ).
thf(func_def_9,type,
marys_hobbies: hobby > $o ).
thf(f42,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f41]) ).
thf(f41,plain,
$true = $false,
inference(backward_demodulation,[status(thm)],[f35,f40]) ).
thf(f40,plain,
( ( has_hobby @ peter @ beer_drinking )
= $false ),
inference(not_proxy_clausification,[status(thm)],[f39]) ).
thf(f39,plain,
( $true
= ( ~ ( has_hobby @ peter @ beer_drinking ) ) ),
inference(definition_unfolding,[status(thm)],[f33,f34]) ).
thf(f34,plain,
( ( has_hobby @ peter )
= marys_hobbies ),
inference(definition_unfolding,[status(thm)],[f26,f25]) ).
thf(f25,plain,
( peters_hobbies
= ( has_hobby @ peter ) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
thf(f23,plain,
( peters_hobbies
= ( has_hobby @ peter ) ),
inference(fool_elimination,[status(thm)],[f3]) ).
thf(f3,axiom,
( peters_hobbies
= ( has_hobby @ peter ) ),
file('/export/starexec/sandbox/tmp/tmp.BQm1CEN0EE/DTF2THF_2061.p',peters_hobbies_001) ).
thf(f26,plain,
peters_hobbies = marys_hobbies,
inference(cnf_transformation,[status(thm)],[f24]) ).
thf(f24,plain,
peters_hobbies = marys_hobbies,
inference(flattening,[status(thm)],[f10]) ).
thf(f10,negated_conjecture,
~ ( ( peters_hobbies != marys_hobbies ) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
thf(f9,conjecture,
peters_hobbies != marys_hobbies,
file('/export/starexec/sandbox/tmp/tmp.BQm1CEN0EE/DTF2THF_2061.p',peter_and_mary_have_different_hobbies) ).
thf(f33,plain,
( $true
= ( ~ ( marys_hobbies @ beer_drinking ) ) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
thf(f21,plain,
( $true
= ( ~ ( marys_hobbies @ beer_drinking ) ) ),
inference(fool_elimination,[status(thm)],[f20]) ).
thf(f20,plain,
~ ( marys_hobbies @ beer_drinking ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,axiom,
~ ( marys_hobbies @ beer_drinking ),
file('/export/starexec/sandbox/tmp/tmp.BQm1CEN0EE/DTF2THF_2061.p',mary_does_not_do_beer_drinking) ).
thf(f35,plain,
( $true
= ( has_hobby @ peter @ beer_drinking ) ),
inference(definition_unfolding,[status(thm)],[f27,f25]) ).
thf(f27,plain,
( ( peters_hobbies @ beer_drinking )
= $true ),
inference(cnf_transformation,[status(thm)],[f18]) ).
thf(f18,plain,
( ( peters_hobbies @ beer_drinking )
= $true ),
inference(fool_elimination,[status(thm)],[f17]) ).
thf(f17,plain,
peters_hobbies @ beer_drinking,
inference(rectify,[status(thm)],[f7]) ).
thf(f7,axiom,
peters_hobbies @ beer_drinking,
file('/export/starexec/sandbox/tmp/tmp.BQm1CEN0EE/DTF2THF_2061.p',peter_does_beer_drinking) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : PUZ146^1 : TPTP v9.2.1. Released v6.4.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n027.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 11:34:52 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
% 0.30/0.45 ---- Original DTF file ---
% 0.30/0.45 thf(spec,logic,$$dhol).
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 % File : PUZ146^1 : TPTP v9.2.1. Released v6.4.0.
% 0.30/0.45 % Domain : Puzzles
% 0.30/0.45 % Problem : Peter and Mary have different hobbies
% 0.30/0.45 % Version : Especial.
% 0.30/0.45 % English :
% 0.30/0.45
% 0.30/0.45 % Refs : [Ben16] Benzmueller (2011), Email to Geoff Sutcliffe
% 0.30/0.45 % Source : [Ben16]
% 0.30/0.45 % Names :
% 0.30/0.45
% 0.30/0.45 % Status : Theorem
% 0.30/0.45 % Rating : 0.00 v6.4.0
% 0.30/0.45 % Syntax : Number of formulae : 19 ( 8 unt; 10 typ; 2 def)
% 0.30/0.45 % Number of atoms : 17 ( 7 equ; 0 cnn)
% 0.30/0.45 % Maximal formula atoms : 3 ( 1 avg)
% 0.30/0.45 % Number of connectives : 14 ( 6 ~; 0 |; 2 &; 6 @)
% 0.30/0.45 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.30/0.45 % Maximal formula depth : 4 ( 2 avg)
% 0.30/0.45 % Number of types : 3 ( 2 usr)
% 0.30/0.45 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.30/0.45 % Number of symbols : 9 ( 8 usr; 5 con; 0-2 aty)
% 0.30/0.45 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.30/0.45 % SPC : TH0_THM_EQU_NAR
% 0.30/0.45
% 0.30/0.45 % Comments :
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 thf(hobby_type,type,
% 0.30/0.45 hobby: $tType ).
% 0.30/0.45
% 0.30/0.45 thf(earthling_type,type,
% 0.30/0.45 earthling: $tType ).
% 0.30/0.45
% 0.30/0.45 thf(peter,type,
% 0.30/0.45 peter: earthling ).
% 0.30/0.45
% 0.30/0.45 thf(mary,type,
% 0.30/0.45 mary: earthling ).
% 0.30/0.45
% 0.30/0.45 thf(beer_drinking,type,
% 0.30/0.45 beer_drinking: hobby ).
% 0.30/0.45
% 0.30/0.45 thf(belly_dancing,type,
% 0.30/0.45 belly_dancing: hobby ).
% 0.30/0.45
% 0.30/0.45 thf(weight_lifting,type,
% 0.30/0.45 weight_lifting: hobby ).
% 0.30/0.45
% 0.30/0.45 thf(has_hobby,type,
% 0.30/0.45 has_hobby: earthling > hobby > $o ).
% 0.30/0.45
% 0.30/0.45 thf(peters_hobbies,type,
% 0.30/0.45 peters_hobbies: hobby > $o ).
% 0.30/0.45
% 0.30/0.45 thf(marys_hobbies,type,
% 0.30/0.45 marys_hobbies: hobby > $o ).
% 0.30/0.45
% 0.30/0.45 thf(not_the_same_1,axiom,
% 0.30/0.45 peter != mary ).
% 0.30/0.45
% 0.30/0.45 thf(not_the_same_2,axiom,
% 0.30/0.45 ( ( beer_drinking != belly_dancing )
% 0.30/0.45 & ( belly_dancing != weight_lifting )
% 0.30/0.45 & ( beer_drinking != weight_lifting ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(peters_hobbies_001,definition,
% 0.30/0.45 ( peters_hobbies
% 0.30/0.45 = ( has_hobby @ peter ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(marys_hobbies_002,definition,
% 0.30/0.45 ( marys_hobbies
% 0.30/0.45 = ( has_hobby @ mary ) ) ).
% 0.30/0.45
% 0.30/0.45 thf(mary_does_belly_dancing,axiom,
% 0.30/0.45 marys_hobbies @ belly_dancing ).
% 0.30/0.45
% 0.30/0.45 thf(mary_does_not_do_beer_drinking,axiom,
% 0.30/0.45 ~ ( marys_hobbies @ beer_drinking ) ).
% 0.30/0.45
% 0.30/0.45 thf(peter_does_beer_drinking,axiom,
% 0.30/0.45 peters_hobbies @ beer_drinking ).
% 0.30/0.45
% 0.30/0.45 thf(peter_does_weight_lifting,axiom,
% 0.30/0.45 peters_hobbies @ weight_lifting ).
% 0.30/0.45
% 0.30/0.45 thf(peter_and_mary_have_different_hobbies,conjecture,
% 0.30/0.45 peters_hobbies != marys_hobbies ).
% 0.30/0.45
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 ------------------------
% 1.50/1.23 ---- Embedded in THF ---
% 1.50/1.23 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.50/1.23 %%% Generated on Tue Feb 24 11:34:53 EST 2026
% 1.50/1.23 %%% using '$$dhol' embedding, version 1.3.0.
% 1.50/1.23 %%% Logic specification used:
% 1.50/1.23 %%% thf(spec, logic, $$dhol).
% 1.50/1.23
% 1.50/1.23 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.BQm1CEN0EE/DTF2DTF2061.p
% See solution above
% 1.50/1.23 ------------------------
% 1.50/1.24 ---- Cleaned THF ---
% 1.50/1.24 thf(hobby_type,type,
% 1.50/1.24 hobby: $tType ).
% 1.50/1.24
% 1.50/1.24 thf(earthling_type,type,
% 1.50/1.24 earthling: $tType ).
% 1.50/1.24
% 1.50/1.24 thf(peter,type,
% 1.50/1.24 peter: earthling ).
% 1.50/1.24
% 1.50/1.24 thf(mary,type,
% 1.50/1.24 mary: earthling ).
% 1.50/1.24
% 1.50/1.24 thf(beer_drinking,type,
% 1.50/1.24 beer_drinking: hobby ).
% 1.50/1.24
% 1.50/1.24 thf(belly_dancing,type,
% 1.50/1.24 belly_dancing: hobby ).
% 1.50/1.24
% 1.50/1.24 thf(weight_lifting,type,
% 1.50/1.24 weight_lifting: hobby ).
% 1.50/1.24
% 1.50/1.24 thf(has_hobby,type,
% 1.50/1.24 has_hobby: earthling > hobby > $o ).
% 1.50/1.24
% 1.50/1.24 thf(peters_hobbies,type,
% 1.50/1.24 peters_hobbies: hobby > $o ).
% 1.50/1.24
% 1.50/1.24 thf(marys_hobbies,type,
% 1.50/1.24 marys_hobbies: hobby > $o ).
% 1.50/1.24
% 1.50/1.24 thf(not_the_same_1,axiom,
% 1.50/1.24 peter != mary ).
% 1.50/1.24
% 1.50/1.24 thf(not_the_same_2,axiom,
% 1.50/1.24 ( ( beer_drinking != belly_dancing )
% 1.50/1.24 & ( belly_dancing != weight_lifting )
% 1.50/1.24 & ( beer_drinking != weight_lifting ) ) ).
% 1.50/1.24
% 1.50/1.24 thf(peters_hobbies_001,definition,
% 1.50/1.24 ( peters_hobbies
% 1.50/1.24 = ( has_hobby @ peter ) ) ).
% 1.50/1.24
% 1.50/1.24 thf(marys_hobbies_002,definition,
% 1.50/1.24 ( marys_hobbies
% 1.50/1.24 = ( has_hobby @ mary ) ) ).
% 1.50/1.24
% 1.50/1.24 thf(mary_does_belly_dancing,axiom,
% 1.50/1.24 marys_hobbies @ belly_dancing ).
% 1.50/1.24
% 1.50/1.24 thf(mary_does_not_do_beer_drinking,axiom,
% 1.50/1.24 ~ ( marys_hobbies @ beer_drinking ) ).
% 1.50/1.24
% 1.50/1.24 thf(peter_does_beer_drinking,axiom,
% 1.50/1.24 peters_hobbies @ beer_drinking ).
% 1.50/1.24
% 1.50/1.24 thf(peter_does_weight_lifting,axiom,
% 1.50/1.24 peters_hobbies @ weight_lifting ).
% 1.50/1.24
% 1.50/1.24 thf(peter_and_mary_have_different_hobbies,conjecture,
% 1.50/1.24 peters_hobbies != marys_hobbies ).
% 1.50/1.24 ------------------------
% 1.50/1.26 % (2177)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_2061 for (2999ds/4Mi)
% 1.50/1.26 % (2176)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_2061 for (2999ds/183Mi)
% 1.50/1.26 % (2177)First to succeed.
% 1.50/1.26 % (2176)Also succeeded, but the first one will report.
% 1.50/1.26 % (2177)Refutation found. Thanks to Tanya!
% 1.50/1.26 % SZS status Theorem for DTF2THF_2061
% 1.50/1.26 % SZS output start Proof for DTF2THF_2061
% 1.50/1.26 thf(type_def_5, type, earthling: $tType).
% 1.50/1.26 thf(type_def_6, type, hobby: $tType).
% 1.50/1.26 thf(func_def_0, type, hobby: $tType).
% 1.50/1.26 thf(func_def_1, type, earthling: $tType).
% 1.50/1.26 thf(func_def_2, type, peter: earthling).
% 1.50/1.26 thf(func_def_3, type, mary: earthling).
% 1.50/1.26 thf(func_def_4, type, beer_drinking: hobby).
% 1.50/1.26 thf(func_def_5, type, belly_dancing: hobby).
% 1.50/1.26 thf(func_def_6, type, weight_lifting: hobby).
% 1.50/1.26 thf(func_def_7, type, has_hobby: earthling > hobby > $o).
% 1.50/1.26 thf(func_def_8, type, peters_hobbies: hobby > $o).
% 1.50/1.26 thf(func_def_9, type, marys_hobbies: hobby > $o).
% 1.50/1.26 thf(f42,plain,(
% 1.50/1.26 $false),
% 1.50/1.26 inference(trivial_inequality_removal,[status(thm)],[f41])).
% 1.50/1.26 thf(f41,plain,(
% 1.50/1.26 ($true = $false)),
% 1.50/1.26 inference(backward_demodulation,[status(thm)],[f35,f40])).
% 1.50/1.26 thf(f40,plain,(
% 1.50/1.26 ((has_hobby @ peter @ beer_drinking) = $false)),
% 1.50/1.26 inference(not_proxy_clausification,[status(thm)],[f39])).
% 1.50/1.26 thf(f39,plain,(
% 1.50/1.26 ($true = (~ (has_hobby @ peter @ beer_drinking)))),
% 1.50/1.26 inference(definition_unfolding,[status(thm)],[f33,f34])).
% 1.50/1.26 thf(f34,plain,(
% 1.50/1.26 ((has_hobby @ peter) = marys_hobbies)),
% 1.50/1.26 inference(definition_unfolding,[status(thm)],[f26,f25])).
% 1.50/1.26 thf(f25,plain,(
% 1.50/1.26 (peters_hobbies = (has_hobby @ peter))),
% 1.50/1.26 inference(cnf_transformation,[status(thm)],[f23])).
% 1.50/1.26 thf(f23,plain,(
% 1.50/1.26 (peters_hobbies = (has_hobby @ peter))),
% 1.50/1.26 inference(fool_elimination,[status(thm)],[f3])).
% 1.50/1.26 thf(f3,axiom,(
% 1.50/1.26 (peters_hobbies = (has_hobby @ peter))),
% 1.50/1.26 file('/export/starexec/sandbox/tmp/tmp.BQm1CEN0EE/DTF2THF_2061.p',peters_hobbies_001)).
% 1.50/1.26 thf(f26,plain,(
% 1.50/1.26 (peters_hobbies = marys_hobbies)),
% 1.50/1.26 inference(cnf_transformation,[status(thm)],[f24])).
% 1.50/1.26 thf(f24,plain,(
% 1.50/1.26 (peters_hobbies = marys_hobbies)),
% 1.50/1.26 inference(flattening,[status(thm)],[f10])).
% 1.50/1.26 thf(f10,negated_conjecture,(
% 1.50/1.26 ~(peters_hobbies != marys_hobbies)),
% 1.50/1.26 inference(negated_conjecture,[status(cth)],[f9])).
% 1.50/1.26 thf(f9,conjecture,(
% 1.50/1.26 (peters_hobbies != marys_hobbies)),
% 1.50/1.26 file('/export/starexec/sandbox/tmp/tmp.BQm1CEN0EE/DTF2THF_2061.p',peter_and_mary_have_different_hobbies)).
% 1.50/1.26 thf(f33,plain,(
% 1.50/1.26 ($true = (~ (marys_hobbies @ beer_drinking)))),
% 1.50/1.26 inference(cnf_transformation,[status(thm)],[f21])).
% 1.50/1.26 thf(f21,plain,(
% 1.50/1.26 ($true = (~ (marys_hobbies @ beer_drinking)))),
% 1.50/1.26 inference(fool_elimination,[status(thm)],[f20])).
% 1.50/1.26 thf(f20,plain,(
% 1.50/1.26 ~(marys_hobbies @ beer_drinking)),
% 1.50/1.26 inference(rectify,[status(thm)],[f6])).
% 1.50/1.26 thf(f6,axiom,(
% 1.50/1.26 ~(marys_hobbies @ beer_drinking)),
% 1.50/1.26 file('/export/starexec/sandbox/tmp/tmp.BQm1CEN0EE/DTF2THF_2061.p',mary_does_not_do_beer_drinking)).
% 1.50/1.26 thf(f35,plain,(
% 1.50/1.26 ($true = (has_hobby @ peter @ beer_drinking))),
% 1.50/1.26 inference(definition_unfolding,[status(thm)],[f27,f25])).
% 1.50/1.26 thf(f27,plain,(
% 1.50/1.26 ((peters_hobbies @ beer_drinking) = $true)),
% 1.50/1.26 inference(cnf_transformation,[status(thm)],[f18])).
% 1.50/1.26 thf(f18,plain,(
% 1.50/1.26 ((peters_hobbies @ beer_drinking) = $true)),
% 1.50/1.26 inference(fool_elimination,[status(thm)],[f17])).
% 1.50/1.26 thf(f17,plain,(
% 1.50/1.26 (peters_hobbies @ beer_drinking)),
% 1.50/1.26 inference(rectify,[status(thm)],[f7])).
% 1.50/1.26 thf(f7,axiom,(
% 1.50/1.26 (peters_hobbies @ beer_drinking)),
% 1.50/1.26 file('/export/starexec/sandbox/tmp/tmp.BQm1CEN0EE/DTF2THF_2061.p',peter_does_beer_drinking)).
% 1.50/1.26 % SZS output end Proof for DTF2THF_2061
% 1.50/1.26 % (2177)------------------------------
% 1.50/1.26 % (2177)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.26 % (2177)Termination reason: Refutation
% 1.50/1.26
% 1.50/1.26 % (2177)Memory used [KB]: 5500
% 1.50/1.26 % (2177)Time elapsed: 0.002 s
% 1.50/1.26 % (2177)Instructions burned: 2 (million)
% 1.50/1.26 % (2177)------------------------------
% 1.50/1.26 % (2177)------------------------------
% 1.50/1.26 % (2175)Success in time 0.004 s
%------------------------------------------------------------------------------