%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV047^5 : TPTP v9.2.1. 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 : n026.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 09:40:09 AM UTC 2026
% Result : Theorem 1.63s 1.49s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 14 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 59 ( 9 ~; 0 |; 5 &; 40 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 12 !; 9 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
sK0: $i > $i > $o ).
thf(f12,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f11,f10]) ).
thf(f10,plain,
( ( sK0 @ sK1 @ sK2 )
!= $true ),
inference(cnf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
( ( ( sK0 @ sK1 @ sK2 )
= $true )
& ( ( sK0 @ sK1 @ sK2 )
!= $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f8]) ).
thf(f8,plain,
( ? [X0: $i > $i > $o,X1: $i,X2: $i] :
( ( ( X0 @ X1 @ X2 )
= $true )
& ( ( X0 @ X1 @ X2 )
!= $true ) )
=> ( ( ( sK0 @ sK1 @ sK2 )
= $true )
& ( ( sK0 @ sK1 @ sK2 )
!= $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f7,plain,
? [X0: $i > $i > $o,X1: $i,X2: $i] :
( ( ( X0 @ X1 @ X2 )
= $true )
& ( ( X0 @ X1 @ X2 )
!= $true ) ),
inference(rectify,[status(thm)],[f6]) ).
thf(f6,plain,
? [X2: $i > $i > $o,X0: $i,X1: $i] :
( ( $true
= ( X2 @ X0 @ X1 ) )
& ( $true
!= ( X2 @ X0 @ X1 ) ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X2: $i > $i > $o,X1: $i,X0: $i] :
( ( $true
= ( X2 @ X0 @ X1 ) )
=> ( $true
= ( X2 @ X0 @ X1 ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: $i,X1: $i,X2: $i > $i > $o] :
( ( X2 @ X0 @ X1 )
=> ( X2 @ X0 @ X1 ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X1: $i,X2: $i,X0: $i > $i > $o] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X1 @ X2 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X1: $i,X2: $i,X0: $i > $i > $o] :
( ( X0 @ X1 @ X2 )
=> ( X0 @ X1 @ X2 ) ),
file('/export/starexec/sandbox/tmp/tmp.rE1lDWfUOE/DTF2THF_13717.p',cTHM175_pme) ).
thf(f11,plain,
( ( sK0 @ sK1 @ sK2 )
= $true ),
inference(cnf_transformation,[status(thm)],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV047^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.13/0.31 % Computer : n026.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Feb 24 12:39:40 EST 2026
% 0.13/0.32 % CPUTime :
% 0.13/0.32 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.42 ---- Original DTF file ---
% 0.17/0.42 thf(spec,logic,$$dhol).
% 0.17/0.42 %------------------------------------------------------------------------------
% 0.17/0.42 % File : SEV047^5 : TPTP v9.2.1. Released v4.0.0.
% 0.17/0.42 % Domain : Set Theory (Relations)
% 0.17/0.42 % Problem : TPS problem THM175
% 0.17/0.42 % Version : Especial.
% 0.17/0.42 % English : Reflexivity of subrelation.
% 0.17/0.42
% 0.17/0.42 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.17/0.42 % Source : [Bro09]
% 0.17/0.42 % Names : tps_0072 [Bro09]
% 0.17/0.42 % : THM175 [TPS]
% 0.17/0.42
% 0.17/0.42 % Status : Theorem
% 0.17/0.42 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.17/0.42 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.17/0.42 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.17/0.42 % Maximal formula atoms : 0 ( 0 avg)
% 0.17/0.42 % Number of connectives : 5 ( 0 ~; 0 |; 0 &; 4 @)
% 0.17/0.42 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.17/0.42 % Maximal formula depth : 7 ( 7 avg)
% 0.17/0.42 % Number of types : 2 ( 0 usr)
% 0.17/0.42 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.17/0.42 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.17/0.42 % Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% 0.17/0.42 % SPC : TH0_THM_NEQ_NAR
% 0.17/0.42
% 0.17/0.42 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.17/0.42 % project in the Department of Mathematical Sciences at Carnegie
% 0.17/0.42 % Mellon University. Distributed under the Creative Commons copyleft
% 0.17/0.42 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.17/0.42 % : Polymorphic definitions expanded.
% 0.17/0.42 %------------------------------------------------------------------------------
% 0.17/0.42 thf(cTHM175_pme,conjecture,
% 0.17/0.42 ! [Xs: $i > $i > $o,Xx: $i,Xy: $i] :
% 0.17/0.42 ( ( Xs @ Xx @ Xy )
% 0.17/0.42 => ( Xs @ Xx @ Xy ) ) ).
% 0.17/0.42
% 0.17/0.42 %------------------------------------------------------------------------------
% 0.17/0.42 ------------------------
% 1.63/1.45 ---- Embedded in THF ---
% 1.63/1.46 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.63/1.46 %%% Generated on Tue Feb 24 12:39:41 EST 2026
% 1.63/1.46 %%% using '$$dhol' embedding, version 1.3.0.
% 1.63/1.46 %%% Logic specification used:
% 1.63/1.46 %%% thf(spec, logic, $$dhol).
% 1.63/1.46
% 1.63/1.46 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.rE1lDWfUOE/DTF2DTF13717.p
% See solution above
% 1.63/1.46 ------------------------
% 1.63/1.47 ---- Cleaned THF ---
% 1.63/1.47 thf(cTHM175_pme,conjecture,
% 1.63/1.47 ! [Xs: $i > $i > $o,Xx: $i,Xy: $i] :
% 1.63/1.47 ( ( Xs @ Xx @ Xy )
% 1.63/1.47 => ( Xs @ Xx @ Xy ) ) ).
% 1.63/1.47 ------------------------
% 1.63/1.49 % (13820)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_13717 for (3000ds/183Mi)
% 1.63/1.49 % (13821)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_13717 for (3000ds/4Mi)
% 1.63/1.49 % (13824)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_13717 for (3000ds/2Mi)
% 1.63/1.49 % (13822)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_13717 for (3000ds/27Mi)
% 1.63/1.49 % (13820)First to succeed.
% 1.63/1.49 % (13821)Also succeeded, but the first one will report.
% 1.63/1.49 % (13826)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_13717 for (3000ds/18Mi)
% 1.63/1.49 % (13823)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_13717 for (3000ds/2Mi)
% 1.63/1.49 % (13825)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_13717 for (3000ds/275Mi)
% 1.63/1.49 % (13822)Also succeeded, but the first one will report.
% 1.63/1.49 % (13820)Refutation found. Thanks to Tanya!
% 1.63/1.49 % SZS status Theorem for DTF2THF_13717
% 1.63/1.49 % SZS output start Proof for DTF2THF_13717
% 1.63/1.49 thf(func_def_3, type, sK0: $i > $i > $o).
% 1.63/1.49 thf(f12,plain,(
% 1.63/1.49 $false),
% 1.63/1.49 inference(subsumption_resolution,[status(thm)],[f11,f10])).
% 1.63/1.49 thf(f10,plain,(
% 1.63/1.49 ((sK0 @ sK1 @ sK2) != $true)),
% 1.63/1.49 inference(cnf_transformation,[status(thm)],[f9])).
% 1.63/1.49 thf(f9,plain,(
% 1.63/1.49 ((sK0 @ sK1 @ sK2) = $true) & ((sK0 @ sK1 @ sK2) != $true)),
% 1.63/1.49 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f7,f8])).
% 1.63/1.49 thf(f8,plain,(
% 1.63/1.49 ? [X0 : $i > $i > $o,X1 : $i,X2 : $i] : (((X0 @ X1 @ X2) = $true) & ((X0 @ X1 @ X2) != $true)) => (((sK0 @ sK1 @ sK2) = $true) & ((sK0 @ sK1 @ sK2) != $true))),
% 1.63/1.49 introduced(definition,[],[choice_axiom])).
% 1.63/1.49 thf(f7,plain,(
% 1.63/1.49 ? [X0 : $i > $i > $o,X1 : $i,X2 : $i] : (((X0 @ X1 @ X2) = $true) & ((X0 @ X1 @ X2) != $true))),
% 1.63/1.49 inference(rectify,[status(thm)],[f6])).
% 1.63/1.49 thf(f6,plain,(
% 1.63/1.49 ? [X2 : $i > $i > $o,X0 : $i,X1 : $i] : (($true = (X2 @ X0 @ X1)) & ($true != (X2 @ X0 @ X1)))),
% 1.63/1.49 inference(ennf_transformation,[status(thm)],[f5])).
% 1.63/1.49 thf(f5,plain,(
% 1.63/1.49 ~! [X2 : $i > $i > $o,X1 : $i,X0 : $i] : (($true = (X2 @ X0 @ X1)) => ($true = (X2 @ X0 @ X1)))),
% 1.63/1.49 inference(fool_elimination,[status(thm)],[f4])).
% 1.63/1.49 thf(f4,plain,(
% 1.63/1.49 ~! [X0 : $i,X1 : $i,X2 : $i > $i > $o] : ((X2 @ X0 @ X1) => (X2 @ X0 @ X1))),
% 1.63/1.49 inference(rectify,[status(thm)],[f2])).
% 1.63/1.49 thf(f2,negated_conjecture,(
% 1.63/1.49 ~! [X1 : $i,X2 : $i,X0 : $i > $i > $o] : ((X0 @ X1 @ X2) => (X0 @ X1 @ X2))),
% 1.63/1.49 inference(negated_conjecture,[status(cth)],[f1])).
% 1.63/1.49 thf(f1,conjecture,(
% 1.63/1.49 ! [X1 : $i,X2 : $i,X0 : $i > $i > $o] : ((X0 @ X1 @ X2) => (X0 @ X1 @ X2))),
% 1.63/1.49 file('/export/starexec/sandbox/tmp/tmp.rE1lDWfUOE/DTF2THF_13717.p',cTHM175_pme)).
% 1.63/1.49 thf(f11,plain,(
% 1.63/1.49 ((sK0 @ sK1 @ sK2) = $true)),
% 1.63/1.49 inference(cnf_transformation,[status(thm)],[f9])).
% 1.63/1.49 % SZS output end Proof for DTF2THF_13717
% 1.63/1.49 % (13820)------------------------------
% 1.63/1.49 % (13820)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.49 % (13820)Termination reason: Refutation
% 1.63/1.49
% 1.63/1.49 % (13820)Memory used [KB]: 5373
% 1.63/1.49 % (13820)Time elapsed: 0.003 s
% 1.63/1.49 % (13820)Instructions burned: 1 (million)
% 1.63/1.49 % (13820)------------------------------
% 1.63/1.49 % (13820)------------------------------
% 1.63/1.49 % (13819)Success in time 0.019 s
%------------------------------------------------------------------------------