%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO015^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 : Sat Feb 28 09:54:02 AM UTC 2026
% Result : Theorem 1.76s 1.54s
% Output : Refutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 19 equ)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 26 ( 18 ~; 4 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 38 ( 38 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(f14,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f12,f13]) ).
tff(f13,plain,
a = $true,
inference(duplicate_literal_removal,[status(thm)],[f11]) ).
tff(f11,plain,
( ( a = $true )
| ( a = $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f9,plain,
( ( ( a = $true )
| ( a = $true ) )
& ( ( a != $true )
| ( a != $true ) ) ),
inference(nnf_transformation,[status(thm)],[f8]) ).
tff(f8,plain,
( ( a = $true )
<=> ( a != $true ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
tff(f7,plain,
~ ( ( a = $true )
<~> ( a != $true ) ),
inference(flattening,[status(thm)],[f6]) ).
tff(f6,plain,
~ ( ( a != $true )
<~> ( a = $true ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ( ( ( ~ a ) != a ) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( ~ a ) != a ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
( ( ~ a ) != a ),
file('/export/starexec/sandbox/tmp/tmp.XBQle2Ng9t/DTF2THF_4290.p',conj) ).
tff(f12,plain,
a != $true,
inference(duplicate_literal_removal,[status(thm)],[f10]) ).
tff(f10,plain,
( ( a != $true )
| ( a != $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO015^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n011.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Wed Feb 25 06:17:32 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.27/0.49 ---- Original DTF file ---
% 0.27/0.49 thf(spec,logic,$$dhol).
% 0.27/0.49 %------------------------------------------------------------------------------
% 0.27/0.49 % File : SYO015^1 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.27/0.49 % Domain : Syntactic
% 0.27/0.49 % Problem : A is not equal to not A
% 0.27/0.49 % Version : Especial.
% 0.27/0.49 % English :
% 0.27/0.49
% 0.27/0.49 % Refs : [BB05] Benzmueller & Brown (2005), A Structured Set of Higher
% 0.27/0.49 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.27/0.49 % Source : [Ben09]
% 0.27/0.49 % Names : Example 17 [BB05]
% 0.27/0.49
% 0.27/0.49 % Status : Theorem
% 0.27/0.49 % : Without Boolean extensionality : CounterSatisfiable
% 0.27/0.49 % Rating : ? v9.2.1
% 0.27/0.49 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.27/0.49 % Number of atoms : 3 ( 1 equ; 0 cnn)
% 0.27/0.49 % Maximal formula atoms : 1 ( 3 avg)
% 0.27/0.49 % Number of connectives : 2 ( 2 ~; 0 |; 0 &; 0 @)
% 0.27/0.49 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.27/0.49 % Maximal formula depth : 2 ( 2 avg)
% 0.27/0.49 % Number of types : 1 ( 0 usr)
% 0.27/0.49 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.27/0.49 % Number of symbols : 2 ( 1 usr; 1 con; 0-2 aty)
% 0.27/0.49 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.27/0.49 % SPC : TH0_THM_EQU_NAR
% 0.27/0.49
% 0.27/0.49 % Comments :
% 0.27/0.49 % Bugfixes : Added ()s around negated sides of equations.
% 0.27/0.49 %------------------------------------------------------------------------------
% 0.27/0.49 thf(a,type,
% 0.27/0.49 a: $o ).
% 0.27/0.49
% 0.27/0.49 thf(conj,conjecture,
% 0.27/0.49 ( a != ( ~ a ) ) ).
% 0.27/0.49
% 0.27/0.49 %------------------------------------------------------------------------------
% 0.27/0.49 ------------------------
% 1.76/1.51 ---- Embedded in THF ---
% 1.76/1.51 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.76/1.51 %%% Generated on Wed Feb 25 06:17:33 EST 2026
% 1.76/1.51 %%% using '$$dhol' embedding, version 1.3.0.
% 1.76/1.51 %%% Logic specification used:
% 1.76/1.51 %%% thf(spec, logic, $$dhol).
% 1.76/1.51
% 1.76/1.51 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.XBQle2Ng9t/DTF2DTF4290.p
% See solution above
% 1.76/1.51 ------------------------
% 1.76/1.52 ---- Cleaned THF ---
% 1.76/1.52 thf(a,type,
% 1.76/1.52 a: $o ).
% 1.76/1.52
% 1.76/1.52 thf(conj,conjecture,
% 1.76/1.52 ( a != ~ a ) ).
% 1.76/1.52 ------------------------
% 1.76/1.54 % (4454)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_4290 for (3000ds/27Mi)
% 1.76/1.54 % (4457)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_4290 for (3000ds/275Mi)
% 1.76/1.54 % (4455)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_4290 for (3000ds/2Mi)
% 1.76/1.54 % (4452)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_4290 for (3000ds/183Mi)
% 1.76/1.54 % (4458)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_4290 for (3000ds/18Mi)
% 1.76/1.54 % (4453)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_4290 for (3000ds/4Mi)
% 1.76/1.54 % (4456)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_4290 for (3000ds/2Mi)
% 1.76/1.54 % (4457)First to succeed.
% 1.76/1.54 % (4452)Also succeeded, but the first one will report.
% 1.76/1.54 % (4453)Also succeeded, but the first one will report.
% 1.76/1.54 % (4457)Refutation found. Thanks to Tanya!
% 1.76/1.54 % SZS status Theorem for DTF2THF_4290
% 1.76/1.54 % SZS output start Proof for DTF2THF_4290
% 1.76/1.54 tff(f14,plain,(
% 1.76/1.54 $false),
% 1.76/1.54 inference(subsumption_resolution,[status(thm)],[f12,f13])).
% 1.76/1.54 tff(f13,plain,(
% 1.76/1.54 (a = $true)),
% 1.76/1.54 inference(duplicate_literal_removal,[status(thm)],[f11])).
% 1.76/1.54 tff(f11,plain,(
% 1.76/1.54 (a = $true) | (a = $true)),
% 1.76/1.54 inference(cnf_transformation,[status(thm)],[f9])).
% 1.76/1.54 tff(f9,plain,(
% 1.76/1.54 ((a = $true) | (a = $true)) & ((a != $true) | (a != $true))),
% 1.76/1.54 inference(nnf_transformation,[status(thm)],[f8])).
% 1.76/1.54 tff(f8,plain,(
% 1.76/1.54 (a = $true) <=> (a != $true)),
% 1.76/1.54 inference(ennf_transformation,[status(thm)],[f7])).
% 1.76/1.54 tff(f7,plain,(
% 1.76/1.54 ~((a = $true) <~> (a != $true))),
% 1.76/1.54 inference(flattening,[status(thm)],[f6])).
% 1.76/1.54 tff(f6,plain,(
% 1.76/1.54 ~(~(a = $true) <~> (a = $true))),
% 1.76/1.54 inference(fool_elimination,[status(thm)],[f5])).
% 1.76/1.54 tff(f5,plain,(
% 1.76/1.54 ~(~a != a)),
% 1.76/1.54 inference(rectify,[status(thm)],[f2])).
% 1.76/1.54 tff(f2,negated_conjecture,(
% 1.76/1.54 ~(~a != a)),
% 1.76/1.54 inference(negated_conjecture,[status(cth)],[f1])).
% 1.76/1.54 tff(f1,conjecture,(
% 1.76/1.54 (~a != a)),
% 1.76/1.54 file('/export/starexec/sandbox/tmp/tmp.XBQle2Ng9t/DTF2THF_4290.p',conj)).
% 1.76/1.54 tff(f12,plain,(
% 1.76/1.54 (a != $true)),
% 1.76/1.54 inference(duplicate_literal_removal,[status(thm)],[f10])).
% 1.76/1.54 tff(f10,plain,(
% 1.76/1.54 (a != $true) | (a != $true)),
% 1.76/1.54 inference(cnf_transformation,[status(thm)],[f9])).
% 1.76/1.54 % SZS output end Proof for DTF2THF_4290
% 1.76/1.54 % (4457)------------------------------
% 1.76/1.54 % (4457)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.76/1.54 % (4457)Termination reason: Refutation
% 1.76/1.54
% 1.76/1.54 % (4457)Memory used [KB]: 5373
% 1.76/1.54 % (4457)Time elapsed: 0.003 s
% 1.76/1.54 % (4457)Instructions burned: 1 (million)
% 1.76/1.54 % (4457)------------------------------
% 1.76/1.54 % (4457)------------------------------
% 1.76/1.54 % (4451)Success in time 0.018 s
%------------------------------------------------------------------------------