%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SET062^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 09:31:06 AM UTC 2026
% Result : Theorem 1.51s 1.24s
% Output : Refutation 1.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET062^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n015.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 11:51:01 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.45 ---- Original DTF file ---
% 0.30/0.46 thf(spec,logic,$$dhol).
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 % File : SET062^5 : TPTP v9.2.1. Released v4.0.0.
% 0.30/0.46 % Domain : Set Theory
% 0.30/0.46 % Problem : TPS problem BOOL-PROP-27
% 0.30/0.46 % Version : Especial.
% 0.30/0.46 % English : Trybulec's 27th Boolean property of sets.
% 0.30/0.46
% 0.30/0.46 % Refs : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.30/0.46 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.30/0.46 % Source : [Bro09]
% 0.30/0.46 % Names : tps_0024 [Bro09]
% 0.30/0.46 % : BOOL-PROP-27 [TPS]
% 0.30/0.46
% 0.30/0.46 % Status : Theorem
% 0.30/0.46 % Rating : 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% 0.30/0.46 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.30/0.46 % Number of atoms : 1 ( 0 equ; 0 cnn)
% 0.30/0.46 % Maximal formula atoms : 1 ( 1 avg)
% 0.30/0.46 % Number of connectives : 2 ( 0 ~; 0 |; 0 &; 1 @)
% 0.30/0.46 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.30/0.46 % Maximal formula depth : 5 ( 5 avg)
% 0.30/0.46 % Number of types : 2 ( 1 usr)
% 0.30/0.46 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.30/0.46 % Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% 0.30/0.46 % Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 0.30/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.30/0.46
% 0.30/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.30/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.30/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.30/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.30/0.46 % : Polymorphic definitions expanded.
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 thf(a_type,type,
% 0.30/0.46 a: $tType ).
% 0.30/0.46
% 0.30/0.46 thf(cBOOL_PROP_27_pme,conjecture,
% 0.30/0.46 ! [X: a > $o,Xx: a] :
% 0.30/0.46 ( $false
% 0.30/0.46 => ( X @ Xx ) ) ).
% 0.30/0.46
% 0.30/0.46 %------------------------------------------------------------------------------
% 0.30/0.46 ------------------------
% 1.51/1.22 ---- Embedded in THF ---
% 1.51/1.22 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.51/1.22 %%% Generated on Tue Feb 24 11:51:02 EST 2026
% 1.51/1.22 %%% using '$$dhol' embedding, version 1.3.0.
% 1.51/1.22 %%% Logic specification used:
% 1.51/1.22 %%% thf(spec, logic, $$dhol).
% 1.51/1.22
% 1.51/1.22 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.1mikHxB5TO/DTF2DTF11647.p
% 1.51/1.22 thf(a_type, type, a: $tType).
% 1.51/1.22 thf(cBOOL_PROP_27_pme, conjecture, (! [X:(a > $o),Xx:a]: (($false => (X @ Xx))))).
% 1.51/1.22 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.1mikHxB5TO/DTF2DTF11647.p
% 1.51/1.22 ------------------------
% 1.51/1.23 ---- Cleaned THF ---
% 1.51/1.23 thf(a_type,type,
% 1.51/1.23 a: $tType ).
% 1.51/1.23
% 1.51/1.23 thf(cBOOL_PROP_27_pme,conjecture,
% 1.51/1.23 ! [X: a > $o,Xx: a] :
% 1.51/1.23 ( $false
% 1.51/1.23 => ( X @ Xx ) ) ).
% 1.51/1.23 ------------------------
% 1.51/1.24 % (11744)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_11647 for (3000ds/183Mi)
% 1.51/1.24 % (11744)First to succeed.
% 1.51/1.24 % (11744)Refutation found. Thanks to Tanya!
% 1.51/1.24 % SZS status Theorem for DTF2THF_11647
% 1.51/1.24 % SZS output start Proof for DTF2THF_11647
% 1.51/1.24 tff(type_def_5, type, a: $tType).
% 1.51/1.24 tff(func_def_0, type, a: $tType).
% 1.51/1.24 fof(f7,plain,(
% 1.51/1.24 $false),
% 1.51/1.24 inference(cnf_transformation,[status(thm)],[f6])).
% 1.51/1.24 fof(f6,plain,(
% 1.51/1.24 $false),
% 1.51/1.24 inference(true_and_false_elimination,[status(thm)],[f5])).
% 1.51/1.24 fof(f5,plain,(
% 1.51/1.24 ~! [X0 : sTfun(a,$o),X1 : a] : ($false => (vAPP(a,$o,X0,X1) = $true))),
% 1.51/1.24 inference(fool_elimination,[status(thm)],[f4])).
% 1.51/1.24 fof(f4,plain,(
% 1.51/1.24 ~! [X0 : sTfun(a,$o),X1 : a] : ($false => vAPP(a,$o,X0,X1))),
% 1.51/1.24 inference(rectify,[status(thm)],[f2])).
% 1.51/1.24 fof(f2,negated_conjecture,(
% 1.51/1.24 ~! [X0 : sTfun(a,$o),X1 : a] : ($false => vAPP(a,$o,X0,X1))),
% 1.51/1.24 inference(negated_conjecture,[status(cth)],[f1])).
% 1.51/1.24 fof(f1,conjecture,(
% 1.51/1.24 ! [X0 : sTfun(a,$o),X1 : a] : ($false => vAPP(a,$o,X0,X1))),
% 1.51/1.24 file('/export/starexec/sandbox2/tmp/tmp.1mikHxB5TO/DTF2THF_11647.p',cBOOL_PROP_27_pme)).
% 1.51/1.24 % SZS output end Proof for DTF2THF_11647
% 1.51/1.24 % (11744)------------------------------
% 1.51/1.24 % (11744)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.24 % (11744)Termination reason: Refutation
% 1.51/1.24
% 1.51/1.24 % (11744)Memory used [KB]: 5373
% 1.51/1.24 % (11744)Time elapsed: 0.002 s
% 1.51/1.24 % (11744)------------------------------
% 1.51/1.24 % (11744)------------------------------
% 1.51/1.24 % (11743)Success in time 0.01 s
%------------------------------------------------------------------------------