%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYN989^3 : 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 : n008.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 09:51:40 AM UTC 2026
% Result : Theorem 1.49s 1.26s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 9 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 18 ( 12 ~; 5 |; 1 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 18 ( 18 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 3 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f11,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f10]) ).
tff(f10,plain,
$true != $true,
inference(definition_unfolding,[status(thm)],[f9,f8]) ).
tff(f8,plain,
p = $true,
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f7,plain,
( ( p != $true )
& ( p = $true ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
~ ( ( p = $true )
| ( p != $true ) ),
inference(flattening,[status(thm)],[f5]) ).
tff(f5,plain,
~ ( ( p != $true )
| ( p = $true ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
tff(f4,plain,
~ ( ~ p
| p ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ( ~ p
| p ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
( ~ p
| p ),
file('/export/starexec/sandbox/tmp/tmp.6oeYTKHSzv/DTF2THF_9409.p',cTRIV0) ).
tff(f9,plain,
p != $true,
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN989^3 : TPTP v9.2.1. Released v5.1.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n008.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 14:21:09 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.29/0.45 ---- Original DTF file ---
% 0.29/0.45 thf(spec,logic,$$dhol).
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 % File : SYN989^3 : TPTP v9.2.1. Released v5.1.0.
% 0.29/0.45 % Domain : Syntactic
% 0.29/0.45 % Problem : All things are true or false
% 0.29/0.45 % Version : Especial.
% 0.29/0.45 % English :
% 0.29/0.45
% 0.29/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.29/0.45 % Source : [Bro09]
% 0.29/0.45 % Names : tps_0004 [Bro09]
% 0.29/0.45 % : TRIV0 [TPS]
% 0.29/0.45
% 0.29/0.45 % Status : Theorem
% 0.29/0.45 % 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 v5.1.0
% 0.29/0.45 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.29/0.45 % Number of atoms : 2 ( 0 equ; 0 cnn)
% 0.29/0.45 % Maximal formula atoms : 2 ( 2 avg)
% 0.29/0.45 % Number of connectives : 2 ( 1 ~; 1 |; 0 &; 0 @)
% 0.29/0.45 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.29/0.45 % Maximal formula depth : 3 ( 3 avg)
% 0.29/0.45 % Number of types : 1 ( 0 usr)
% 0.29/0.45 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.29/0.45 % Number of symbols : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.29/0.45 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.29/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.29/0.45
% 0.29/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.29/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.29/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.29/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.29/0.45 % :
% 0.29/0.45 % : Renamed from SYO075^5
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 thf(p,type,
% 0.29/0.45 p: $o ).
% 0.29/0.45
% 0.29/0.45 thf(cTRIV0,conjecture,
% 0.29/0.45 ( p
% 0.29/0.45 | ~ p ) ).
% 0.29/0.45
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 ------------------------
% 1.49/1.23 ---- Embedded in THF ---
% 1.49/1.24 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.24 %%% Generated on Tue Feb 24 14:21:10 EST 2026
% 1.49/1.24 %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.24 %%% Logic specification used:
% 1.49/1.24 %%% thf(spec, logic, $$dhol).
% 1.49/1.24
% 1.49/1.24 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.6oeYTKHSzv/DTF2DTF9409.p
% See solution above
% 1.49/1.24 ------------------------
% 1.49/1.24 ---- Cleaned THF ---
% 1.49/1.25 thf(p,type,
% 1.49/1.25 p: $o ).
% 1.49/1.25
% 1.49/1.25 thf(cTRIV0,conjecture,
% 1.49/1.25 ( p
% 1.49/1.25 | ~ p ) ).
% 1.49/1.25 ------------------------
% 1.49/1.26 % (9524)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_9409 for (2999ds/4Mi)
% 1.49/1.26 % (9524)First to succeed.
% 1.49/1.26 % (9523)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_9409 for (2999ds/183Mi)
% 1.49/1.26 % (9523)Also succeeded, but the first one will report.
% 1.49/1.26 % (9524)Refutation found. Thanks to Tanya!
% 1.49/1.26 % SZS status Theorem for DTF2THF_9409
% 1.49/1.26 % SZS output start Proof for DTF2THF_9409
% 1.49/1.26 tff(f11,plain,(
% 1.49/1.26 $false),
% 1.49/1.26 inference(trivial_inequality_removal,[status(thm)],[f10])).
% 1.49/1.26 tff(f10,plain,(
% 1.49/1.26 ($true != $true)),
% 1.49/1.26 inference(definition_unfolding,[status(thm)],[f9,f8])).
% 1.49/1.26 tff(f8,plain,(
% 1.49/1.26 (p = $true)),
% 1.49/1.26 inference(cnf_transformation,[status(thm)],[f7])).
% 1.49/1.26 tff(f7,plain,(
% 1.49/1.26 (p != $true) & (p = $true)),
% 1.49/1.26 inference(ennf_transformation,[status(thm)],[f6])).
% 1.49/1.26 tff(f6,plain,(
% 1.49/1.26 ~((p = $true) | (p != $true))),
% 1.49/1.26 inference(flattening,[status(thm)],[f5])).
% 1.49/1.26 tff(f5,plain,(
% 1.49/1.26 ~(~(p = $true) | (p = $true))),
% 1.49/1.26 inference(fool_elimination,[status(thm)],[f4])).
% 1.49/1.26 tff(f4,plain,(
% 1.49/1.26 ~(~p | p)),
% 1.49/1.26 inference(rectify,[status(thm)],[f2])).
% 1.49/1.26 tff(f2,negated_conjecture,(
% 1.49/1.26 ~(~p | p)),
% 1.49/1.26 inference(negated_conjecture,[status(cth)],[f1])).
% 1.49/1.26 tff(f1,conjecture,(
% 1.49/1.26 ~p | p),
% 1.49/1.26 file('/export/starexec/sandbox/tmp/tmp.6oeYTKHSzv/DTF2THF_9409.p',cTRIV0)).
% 1.49/1.26 tff(f9,plain,(
% 1.49/1.26 (p != $true)),
% 1.49/1.26 inference(cnf_transformation,[status(thm)],[f7])).
% 1.49/1.26 % SZS output end Proof for DTF2THF_9409
% 1.49/1.26 % (9524)------------------------------
% 1.49/1.26 % (9524)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.26 % (9524)Termination reason: Refutation
% 1.49/1.26
% 1.49/1.26 % (9524)Memory used [KB]: 5373
% 1.49/1.26 % (9524)Time elapsed: 0.002 s
% 1.49/1.26 % (9524)------------------------------
% 1.49/1.26 % (9524)------------------------------
% 1.49/1.26 % (9522)Success in time 0.003 s
%------------------------------------------------------------------------------