%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SET627^5 : 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 : n001.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 09:31:58 AM UTC 2026
% Result : Theorem 1.49s 1.24s
% Output : Refutation 1.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET627^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.14/0.33 % Computer : n001.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Feb 24 12:01:35 EST 2026
% 0.14/0.34 % CPUTime :
% 0.14/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.44 ---- Original DTF file ---
% 0.19/0.44 thf(spec,logic,$$dhol).
% 0.19/0.44 %------------------------------------------------------------------------------
% 0.19/0.44 % File : SET627^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.44 % Domain : Set Theory
% 0.19/0.44 % Problem : TPS problem BOOL-PROP-104
% 0.19/0.44 % Version : Especial.
% 0.19/0.44 % English : Trybulec's 104th Boolean property of sets
% 0.19/0.44
% 0.19/0.44 % Refs : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.19/0.44 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.44 % Source : [Bro09]
% 0.19/0.44 % Names : tps_0030 [Bro09]
% 0.19/0.44 % : BOOL-PROP-104 [TPS]
% 0.19/0.44
% 0.19/0.44 % Status : Theorem
% 0.19/0.44 % Rating : 0.08 v9.1.0, 0.00 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v4.0.0
% 0.19/0.44 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.19/0.44 % Number of atoms : 1 ( 0 equ; 0 cnn)
% 0.19/0.44 % Maximal formula atoms : 1 ( 1 avg)
% 0.19/0.44 % Number of connectives : 3 ( 1 ~; 0 |; 1 &; 1 @)
% 0.19/0.44 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.44 % Maximal formula depth : 6 ( 6 avg)
% 0.19/0.44 % Number of types : 2 ( 1 usr)
% 0.19/0.44 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.19/0.44 % Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% 0.19/0.44 % Number of variables : 2 ( 0 ^; 1 !; 1 ?; 2 :)
% 0.19/0.44 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.44
% 0.19/0.44 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.44 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.44 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.44 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.44 % : Polymorphic definitions expanded.
% 0.19/0.44 %------------------------------------------------------------------------------
% 0.19/0.44 thf(a_type,type,
% 0.19/0.44 a: $tType ).
% 0.19/0.44
% 0.19/0.44 thf(cBOOL_PROP_104_pme,conjecture,
% 0.19/0.44 ! [X: a > $o] :
% 0.19/0.44 ~ ? [Xx: a] :
% 0.19/0.44 ( ( X @ Xx )
% 0.19/0.44 & $false ) ).
% 0.19/0.44
% 0.19/0.44 %------------------------------------------------------------------------------
% 0.19/0.44 ------------------------
% 1.49/1.21 ---- Embedded in THF ---
% 1.49/1.21 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.21 %%% Generated on Tue Feb 24 12:01:36 EST 2026
% 1.49/1.21 %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.21 %%% Logic specification used:
% 1.49/1.21 %%% thf(spec, logic, $$dhol).
% 1.49/1.21
% 1.49/1.21 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.GdwV6bVIOc/DTF2DTF32499.p
% 1.49/1.21 thf(a_type, type, a: $tType).
% 1.49/1.21 thf(cBOOL_PROP_104_pme, conjecture, (! [X:(a > $o)]: ((~ ((? [Xx:a]: (((X @ Xx) & $false)))))))).
% 1.49/1.21 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.GdwV6bVIOc/DTF2DTF32499.p
% 1.49/1.21 ------------------------
% 1.49/1.22 ---- Cleaned THF ---
% 1.49/1.22 thf(a_type,type,
% 1.49/1.22 a: $tType ).
% 1.49/1.22
% 1.49/1.22 thf(cBOOL_PROP_104_pme,conjecture,
% 1.49/1.22 ! [X: a > $o] :
% 1.49/1.22 ~ ? [Xx: a] :
% 1.49/1.22 ( ( X @ Xx )
% 1.49/1.22 & $false ) ).
% 1.49/1.22 ------------------------
% 1.49/1.24 % (32608)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_32499 for (2999ds/4Mi)
% 1.49/1.24 % (32607)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_32499 for (2999ds/183Mi)
% 1.49/1.24 % (32608)First to succeed.
% 1.49/1.24 % (32607)Also succeeded, but the first one will report.
% 1.49/1.24 % (32608)Refutation found. Thanks to Tanya!
% 1.49/1.24 % SZS status Theorem for DTF2THF_32499
% 1.49/1.24 % SZS output start Proof for DTF2THF_32499
% 1.49/1.24 tff(type_def_5, type, a: $tType).
% 1.49/1.24 tff(func_def_0, type, a: $tType).
% 1.49/1.24 fof(f7,plain,(
% 1.49/1.24 $false),
% 1.49/1.24 inference(cnf_transformation,[status(thm)],[f6])).
% 1.49/1.24 fof(f6,plain,(
% 1.49/1.24 $false),
% 1.49/1.24 inference(true_and_false_elimination,[status(thm)],[f5])).
% 1.49/1.24 fof(f5,plain,(
% 1.49/1.24 ~! [X0 : sTfun(a,$o)] : ~? [X1 : a] : ((vAPP(a,$o,X0,X1) = $true) & $false)),
% 1.49/1.24 inference(fool_elimination,[status(thm)],[f4])).
% 1.49/1.24 fof(f4,plain,(
% 1.49/1.24 ~! [X0 : sTfun(a,$o)] : ~? [X1 : a] : (vAPP(a,$o,X0,X1) & $false)),
% 1.49/1.24 inference(rectify,[status(thm)],[f2])).
% 1.49/1.24 fof(f2,negated_conjecture,(
% 1.49/1.24 ~! [X0 : sTfun(a,$o)] : ~? [X1 : a] : (vAPP(a,$o,X0,X1) & $false)),
% 1.49/1.24 inference(negated_conjecture,[status(cth)],[f1])).
% 1.49/1.24 fof(f1,conjecture,(
% 1.49/1.24 ! [X0 : sTfun(a,$o)] : ~? [X1 : a] : (vAPP(a,$o,X0,X1) & $false)),
% 1.49/1.24 file('/export/starexec/sandbox/tmp/tmp.GdwV6bVIOc/DTF2THF_32499.p',cBOOL_PROP_104_pme)).
% 1.49/1.24 % SZS output end Proof for DTF2THF_32499
% 1.49/1.24 % (32608)------------------------------
% 1.49/1.24 % (32608)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.24 % (32608)Termination reason: Refutation
% 1.49/1.24
% 1.49/1.24 % (32608)Memory used [KB]: 5373
% 1.49/1.24 % (32608)Time elapsed: 0.002 s
% 1.49/1.24 % (32608)------------------------------
% 1.49/1.24 % (32608)------------------------------
% 1.49/1.24 % (32606)Success in time 0.005 s
%------------------------------------------------------------------------------