%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO389^5 : 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 : 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 09:54:06 AM UTC 2026
% Result : Theorem 1.53s 1.28s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 4 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 1 usr; 1 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
b: $tType ).
thf(func_def_0,type,
b: $tType ).
thf(func_def_1,type,
cA: b > $o ).
thf(f6,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f5]) ).
thf(f5,plain,
cA != cA,
inference(cnf_transformation,[status(thm)],[f4]) ).
thf(f4,plain,
cA != cA,
inference(flattening,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
cA != cA,
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
cA = cA,
file('/export/starexec/sandbox2/tmp/tmp.XlZQHdGjaz/DTF2THF_25137.p',cEQ_THM) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO389^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.11 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.31 % Computer : n001.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
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Tue Feb 24 14:30:35 EST 2026
% 0.13/0.31 % CPUTime :
% 0.13/0.31 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.43 ---- Original DTF file ---
% 0.18/0.43 thf(spec,logic,$$dhol).
% 0.18/0.43 %------------------------------------------------------------------------------
% 0.18/0.43 % File : SYO389^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.43 % Domain : Syntactic
% 0.18/0.43 % Problem : TPS problem from MISC
% 0.18/0.43 % Version : Especial.
% 0.18/0.43 % English : Reflexivity of constants.
% 0.18/0.43
% 0.18/0.43 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.43 % Source : [Bro09]
% 0.18/0.43 % Names : tps_0584 [Bro09]
% 0.18/0.43
% 0.18/0.43 % Status : Theorem
% 0.18/0.43 % Rating : 0.00 v6.2.0, 0.14 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.0
% 0.18/0.43 % Syntax : Number of formulae : 3 ( 1 unt; 2 typ; 0 def)
% 0.18/0.43 % Number of atoms : 3 ( 1 equ; 0 cnn)
% 0.18/0.43 % Maximal formula atoms : 1 ( 3 avg)
% 0.18/0.43 % Number of connectives : 0 ( 0 ~; 0 |; 0 &; 0 @)
% 0.18/0.43 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.18/0.43 % Maximal formula depth : 1 ( 1 avg)
% 0.18/0.43 % Number of types : 2 ( 1 usr)
% 0.18/0.43 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.18/0.43 % Number of symbols : 2 ( 1 usr; 0 con; 1-2 aty)
% 0.18/0.43 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.18/0.43 % SPC : TH0_THM_EQU_NAR
% 0.18/0.43
% 0.18/0.43 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.43 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.43 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.43 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.43 %------------------------------------------------------------------------------
% 0.18/0.43 thf(b_type,type,
% 0.18/0.43 b: $tType ).
% 0.18/0.43
% 0.18/0.43 thf(cA,type,
% 0.18/0.43 cA: b > $o ).
% 0.18/0.43
% 0.18/0.43 thf(cEQ_THM,conjecture,
% 0.18/0.43 cA = cA ).
% 0.18/0.43
% 0.18/0.43 %------------------------------------------------------------------------------
% 0.18/0.43 ------------------------
% 1.53/1.25 ---- Embedded in THF ---
% 1.53/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.53/1.25 %%% Generated on Tue Feb 24 14:30:36 EST 2026
% 1.53/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.53/1.25 %%% Logic specification used:
% 1.53/1.25 %%% thf(spec, logic, $$dhol).
% 1.53/1.25
% 1.53/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.XlZQHdGjaz/DTF2DTF25137.p
% See solution above
% 1.53/1.25 ------------------------
% 1.53/1.26 ---- Cleaned THF ---
% 1.53/1.26 thf(b_type,type,
% 1.53/1.26 b: $tType ).
% 1.53/1.26
% 1.53/1.26 thf(cA,type,
% 1.53/1.26 cA: b > $o ).
% 1.53/1.26
% 1.53/1.26 thf(cEQ_THM,conjecture,
% 1.53/1.26 cA = cA ).
% 1.53/1.26 ------------------------
% 1.53/1.28 % (25305)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_25137 for (2999ds/2Mi)
% 1.53/1.28 % (25306)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_25137 for (2999ds/275Mi)
% 1.53/1.28 % (25306)First to succeed.
% 1.53/1.28 % (25301)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_25137 for (2999ds/183Mi)
% 1.53/1.28 % (25301)Also succeeded, but the first one will report.
% 1.53/1.28 % (25306)Refutation found. Thanks to Tanya!
% 1.53/1.28 % SZS status Theorem for DTF2THF_25137
% 1.53/1.28 % SZS output start Proof for DTF2THF_25137
% 1.53/1.28 thf(type_def_5, type, b: $tType).
% 1.53/1.28 thf(func_def_0, type, b: $tType).
% 1.53/1.28 thf(func_def_1, type, cA: b > $o).
% 1.53/1.28 thf(f6,plain,(
% 1.53/1.28 $false),
% 1.53/1.28 inference(trivial_inequality_removal,[status(thm)],[f5])).
% 1.53/1.28 thf(f5,plain,(
% 1.53/1.28 (cA != cA)),
% 1.53/1.28 inference(cnf_transformation,[status(thm)],[f4])).
% 1.53/1.28 thf(f4,plain,(
% 1.53/1.28 (cA != cA)),
% 1.53/1.28 inference(flattening,[status(thm)],[f2])).
% 1.53/1.28 thf(f2,negated_conjecture,(
% 1.53/1.28 ~(cA = cA)),
% 1.53/1.28 inference(negated_conjecture,[status(cth)],[f1])).
% 1.53/1.28 thf(f1,conjecture,(
% 1.53/1.28 (cA = cA)),
% 1.53/1.28 file('/export/starexec/sandbox2/tmp/tmp.XlZQHdGjaz/DTF2THF_25137.p',cEQ_THM)).
% 1.53/1.28 % SZS output end Proof for DTF2THF_25137
% 1.53/1.28 % (25306)------------------------------
% 1.53/1.28 % (25306)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.28 % (25306)Termination reason: Refutation
% 1.53/1.28
% 1.53/1.28 % (25306)Memory used [KB]: 5373
% 1.53/1.28 % (25306)Time elapsed: 0.002 s
% 1.53/1.28 % (25306)------------------------------
% 1.53/1.28 % (25306)------------------------------
% 1.53/1.28 % (25298)Success in time 0.013 s
%------------------------------------------------------------------------------