%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV188^5 : 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 : n025.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 09:40:30 AM UTC 2026
% Result : Theorem 1.50s 1.24s
% Output : Refutation 1.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV188^5 : 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
% 0.15/0.33 % Computer : n025.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 12:41:42 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.45 ---- Original DTF file ---
% 0.19/0.45 thf(spec,logic,$$dhol).
% 0.19/0.45 %------------------------------------------------------------------------------
% 0.19/0.45 % File : SEV188^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.45 % Domain : Set Theory (Sets of sets)
% 0.19/0.45 % Problem : TPS problem from CLOS-SYS-THMS
% 0.19/0.45 % Version : Especial.
% 0.19/0.45 % English :
% 0.19/0.45
% 0.19/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.45 % Source : [Bro09]
% 0.19/0.45 % Names : tps_0647 [Bro09]
% 0.19/0.45
% 0.19/0.45 % Status : Theorem
% 0.19/0.45 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.19/0.45 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.19/0.45 % Number of atoms : 2 ( 0 equ; 0 cnn)
% 0.19/0.45 % Maximal formula atoms : 2 ( 2 avg)
% 0.19/0.45 % Number of connectives : 3 ( 0 ~; 0 |; 0 &; 1 @)
% 0.19/0.45 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.19/0.45 % Maximal formula depth : 6 ( 6 avg)
% 0.19/0.45 % Number of types : 3 ( 2 usr)
% 0.19/0.45 % Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% 0.19/0.45 % Number of symbols : 1 ( 0 usr; 1 con; 0-0 aty)
% 0.19/0.45 % Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 0.19/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.45
% 0.19/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.45 %------------------------------------------------------------------------------
% 0.19/0.45 thf(a_type,type,
% 0.19/0.45 a: $tType ).
% 0.19/0.45
% 0.19/0.45 thf(b_type,type,
% 0.19/0.45 b: $tType ).
% 0.19/0.45
% 0.19/0.45 thf(cCS2_ALL_THM_pme,conjecture,
% 0.19/0.45 ! [S: ( a > b > $o ) > $o] :
% 0.19/0.45 ( ! [Xx: a > b > $o] :
% 0.19/0.45 ( ( S @ Xx )
% 0.19/0.45 => $true )
% 0.19/0.45 => $true ) ).
% 0.19/0.45
% 0.19/0.45 %------------------------------------------------------------------------------
% 0.19/0.45 ------------------------
% 1.50/1.21 ---- Embedded in THF ---
% 1.50/1.21 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.50/1.21 %%% Generated on Tue Feb 24 12:41:43 EST 2026
% 1.50/1.21 %%% using '$$dhol' embedding, version 1.3.0.
% 1.50/1.21 %%% Logic specification used:
% 1.50/1.21 %%% thf(spec, logic, $$dhol).
% 1.50/1.21
% 1.50/1.21 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.BZKnXRG0vy/DTF2DTF30004.p
% 1.50/1.21 thf(a_type, type, a: $tType).
% 1.50/1.21 thf(b_type, type, b: $tType).
% 1.50/1.21 thf(cCS2_ALL_THM_pme, conjecture, (! [S:((a > (b > $o)) > $o)]: (((! [Xx:(a > (b > $o))]: (((S @ Xx) => $true))) => $true)))).
% 1.50/1.21 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.BZKnXRG0vy/DTF2DTF30004.p
% 1.50/1.21 ------------------------
% 1.50/1.22 ---- Cleaned THF ---
% 1.50/1.23 thf(a_type,type,
% 1.50/1.23 a: $tType ).
% 1.50/1.23
% 1.50/1.23 thf(b_type,type,
% 1.50/1.23 b: $tType ).
% 1.50/1.23
% 1.50/1.23 thf(cCS2_ALL_THM_pme,conjecture,
% 1.50/1.23 ! [S: ( a > b > $o ) > $o] :
% 1.50/1.23 ( ! [Xx: a > b > $o] :
% 1.50/1.23 ( ( S @ Xx )
% 1.50/1.23 => $true )
% 1.50/1.23 => $true ) ).
% 1.50/1.23 ------------------------
% 1.50/1.24 % (30225)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_30004 for (3000ds/275Mi)
% 1.50/1.24 % (30225)First to succeed.
% 1.50/1.24 % (30224)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_30004 for (3000ds/2Mi)
% 1.50/1.24 % (30225)Refutation found. Thanks to Tanya!
% 1.50/1.24 % SZS status Theorem for DTF2THF_30004
% 1.50/1.24 % SZS output start Proof for DTF2THF_30004
% 1.50/1.24 tff(type_def_5, type, a: $tType).
% 1.50/1.24 tff(type_def_6, type, b: $tType).
% 1.50/1.24 tff(func_def_0, type, a: $tType).
% 1.50/1.24 tff(func_def_1, type, b: $tType).
% 1.50/1.24 fof(f7,plain,(
% 1.50/1.24 $false),
% 1.50/1.24 inference(cnf_transformation,[status(thm)],[f6])).
% 1.50/1.24 fof(f6,plain,(
% 1.50/1.24 $false),
% 1.50/1.24 inference(true_and_false_elimination,[status(thm)],[f5])).
% 1.50/1.24 fof(f5,plain,(
% 1.50/1.24 ~! [X0 : sTfun(sTfun(a,sTfun(b,$o)),$o)] : (! [X1 : sTfun(a,sTfun(b,$o))] : ((vAPP(sTfun(a,sTfun(b,$o)),$o,X0,X1) = $true) => $true) => $true)),
% 1.50/1.24 inference(fool_elimination,[status(thm)],[f4])).
% 1.50/1.24 fof(f4,plain,(
% 1.50/1.24 ~! [X0 : sTfun(sTfun(a,sTfun(b,$o)),$o)] : (! [X1 : sTfun(a,sTfun(b,$o))] : (vAPP(sTfun(a,sTfun(b,$o)),$o,X0,X1) => $true) => $true)),
% 1.50/1.24 inference(rectify,[status(thm)],[f2])).
% 1.50/1.24 fof(f2,negated_conjecture,(
% 1.50/1.24 ~! [X0 : sTfun(sTfun(a,sTfun(b,$o)),$o)] : (! [X1 : sTfun(a,sTfun(b,$o))] : (vAPP(sTfun(a,sTfun(b,$o)),$o,X0,X1) => $true) => $true)),
% 1.50/1.24 inference(negated_conjecture,[status(cth)],[f1])).
% 1.50/1.24 fof(f1,conjecture,(
% 1.50/1.24 ! [X0 : sTfun(sTfun(a,sTfun(b,$o)),$o)] : (! [X1 : sTfun(a,sTfun(b,$o))] : (vAPP(sTfun(a,sTfun(b,$o)),$o,X0,X1) => $true) => $true)),
% 1.50/1.24 file('/export/starexec/sandbox2/tmp/tmp.BZKnXRG0vy/DTF2THF_30004.p',cCS2_ALL_THM_pme)).
% 1.50/1.24 % SZS output end Proof for DTF2THF_30004
% 1.50/1.24 % (30225)------------------------------
% 1.50/1.24 % (30225)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.50/1.24 % (30225)Termination reason: Refutation
% 1.50/1.24
% 1.50/1.24 % (30225)Memory used [KB]: 5373
% 1.50/1.24 % (30225)Time elapsed: 0.001 s
% 1.50/1.24 % (30225)------------------------------
% 1.50/1.24 % (30225)------------------------------
% 1.50/1.24 % (30219)Success in time 0.01 s
%------------------------------------------------------------------------------