%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SET062^6 : TPTP v9.2.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n003.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 09:31:07 AM UTC 2026
% Result : Theorem 1.62s 1.30s
% Output : Refutation 1.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET062^6 : TPTP v9.2.1. Released v5.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.34 % Computer : n003.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Feb 24 11:50:40 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.46 ---- Original DTF file ---
% 0.19/0.46 thf(spec,logic,$$dhol).
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 % File : SET062^6 : TPTP v9.2.1. Released v5.1.0.
% 0.19/0.46 % Domain : Set Theory
% 0.19/0.46 % Problem : TPS problem from BASIC-FO-THMS
% 0.19/0.46 % Version : Especial.
% 0.19/0.46 % English : Trybulec's 27th Boolean property of sets.
% 0.19/0.46
% 0.19/0.46 % Refs : [TS89] Trybulec & Swieczkowska (1989), Boolean Properties of
% 0.19/0.46 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.46 % Source : [Bro09]
% 0.19/0.46 % Names : tps_0607 [Bro09]
% 0.19/0.46
% 0.19/0.46 % Status : Theorem
% 0.19/0.46 % Rating : 0.00 v5.3.0, 0.25 v5.2.0, 0.00 v5.1.0
% 0.19/0.46 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.19/0.46 % Number of atoms : 2 ( 0 equ; 0 cnn)
% 0.19/0.46 % Maximal formula atoms : 2 ( 2 avg)
% 0.19/0.46 % Number of connectives : 2 ( 0 ~; 0 |; 0 &; 1 @)
% 0.19/0.46 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.19/0.46 % Maximal formula depth : 4 ( 4 avg)
% 0.19/0.46 % Number of types : 2 ( 0 usr)
% 0.19/0.46 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.19/0.46 % Number of symbols : 2 ( 1 usr; 1 con; 0-1 aty)
% 0.19/0.46 % Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 0.19/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.46
% 0.19/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.46 % : Renamed from SYO117^5
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 thf(cA,type,
% 0.19/0.46 cA: $i > $o ).
% 0.19/0.46
% 0.19/0.46 thf(cSET76_pme,conjecture,
% 0.19/0.46 ! [Z3: $i] :
% 0.19/0.46 ( $false
% 0.19/0.46 => ( cA @ Z3 ) ) ).
% 0.19/0.46
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 ------------------------
% 1.45/1.27 ---- Embedded in THF ---
% 1.45/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.45/1.27 %%% Generated on Tue Feb 24 11:50:41 EST 2026
% 1.45/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.45/1.27 %%% Logic specification used:
% 1.45/1.27 %%% thf(spec, logic, $$dhol).
% 1.45/1.27
% 1.45/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.WynrKzm5pg/DTF2DTF25672.p
% 1.45/1.27 thf(cA, type, cA: ($i > $o)).
% 1.45/1.27 thf(cSET76_pme, conjecture, (! [Z3:$i]: (($false => (cA @ Z3))))).
% 1.45/1.27 % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.WynrKzm5pg/DTF2DTF25672.p
% 1.45/1.27 ------------------------
% 1.45/1.28 ---- Cleaned THF ---
% 1.45/1.28 thf(cA,type,
% 1.45/1.28 cA: $i > $o ).
% 1.45/1.28
% 1.45/1.28 thf(cSET76_pme,conjecture,
% 1.45/1.28 ! [Z3: $i] :
% 1.45/1.28 ( $false
% 1.45/1.28 => ( cA @ Z3 ) ) ).
% 1.45/1.28 ------------------------
% 1.62/1.30 % (25782)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_25672 for (2999ds/2Mi)
% 1.62/1.30 % (25782)First to succeed.
% 1.62/1.30 % (25782)Refutation found. Thanks to Tanya!
% 1.62/1.30 % SZS status Theorem for DTF2THF_25672
% 1.62/1.30 % SZS output start Proof for DTF2THF_25672
% 1.62/1.30 tff(func_def_0, type, cA: sTfun($i,$o)).
% 1.62/1.30 fof(f7,plain,(
% 1.62/1.30 $false),
% 1.62/1.30 inference(cnf_transformation,[status(thm)],[f6])).
% 1.62/1.30 fof(f6,plain,(
% 1.62/1.30 $false),
% 1.62/1.30 inference(true_and_false_elimination,[status(thm)],[f5])).
% 1.62/1.30 fof(f5,plain,(
% 1.62/1.30 ~! [X0 : $i] : ($false => (vAPP($i,$o,cA,X0) = $true))),
% 1.62/1.30 inference(fool_elimination,[status(thm)],[f4])).
% 1.62/1.30 fof(f4,plain,(
% 1.62/1.30 ~! [X0 : $i] : ($false => vAPP($i,$o,cA,X0))),
% 1.62/1.30 inference(rectify,[status(thm)],[f2])).
% 1.62/1.30 fof(f2,negated_conjecture,(
% 1.62/1.30 ~! [X0 : $i] : ($false => vAPP($i,$o,cA,X0))),
% 1.62/1.30 inference(negated_conjecture,[status(cth)],[f1])).
% 1.62/1.30 fof(f1,conjecture,(
% 1.62/1.30 ! [X0 : $i] : ($false => vAPP($i,$o,cA,X0))),
% 1.62/1.30 file('/export/starexec/sandbox/tmp/tmp.WynrKzm5pg/DTF2THF_25672.p',cSET76_pme)).
% 1.62/1.30 % SZS output end Proof for DTF2THF_25672
% 1.62/1.30 % (25782)------------------------------
% 1.62/1.30 % (25782)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.62/1.30 % (25782)Termination reason: Refutation
% 1.62/1.30
% 1.62/1.30 % (25782)Memory used [KB]: 5373
% 1.62/1.30 % (25782)Time elapsed: 0.002 s
% 1.62/1.30 % (25782)Instructions burned: 1 (million)
% 1.62/1.30 % (25782)------------------------------
% 1.62/1.30 % (25782)------------------------------
% 1.62/1.30 % (25778)Success in time 0.012 s
%------------------------------------------------------------------------------