%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO125^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n023.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 09:53:26 AM UTC 2026
% Result : Theorem 1.64s 1.41s
% Output : Refutation 1.64s
% 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 : 61 ( 14 equ)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 28 ( 7 ~; 0 |; 8 &)
% ( 9 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 28 ( 28 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 4 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(trivial_inequality_removal,[status(thm)],[f13]) ).
tff(f13,plain,
cR != cR,
inference(definition_unfolding,[status(thm)],[f9,f12]) ).
tff(f12,plain,
cP = cR,
inference(definition_unfolding,[status(thm)],[f10,f11]) ).
tff(f11,plain,
cQ = cR,
inference(cnf_transformation,[status(thm)],[f8]) ).
tff(f8,plain,
( ( cQ = cR )
& ( cP = cQ )
& ( cP != cR ) ),
inference(flattening,[status(thm)],[f7]) ).
tff(f7,plain,
( ( cP != cR )
& ( cQ = cR )
& ( cP = cQ ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
~ ( ( ( cQ = cR )
& ( cP = cQ ) )
=> ( cP = cR ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ( ( ( cR
<=> cQ )
& ( cQ
<=> cP ) )
=> ( cP
<=> cR ) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( cR
<=> cQ )
& ( cQ
<=> cP ) )
=> ( cP
<=> cR ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
( ( ( cR
<=> cQ )
& ( cQ
<=> cP ) )
=> ( cP
<=> cR ) ),
file('/export/starexec/sandbox/tmp/tmp.Wud4xfr20m/DTF2THF_521.p',cTRIV4) ).
tff(f10,plain,
cP = cQ,
inference(cnf_transformation,[status(thm)],[f8]) ).
tff(f9,plain,
cP != cR,
inference(cnf_transformation,[status(thm)],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO125^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n023.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 14:25:19 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 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 : SYO125^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.46 % Domain : Syntactic
% 0.19/0.46 % Problem : TPS problem from BASIC-FO-THMS
% 0.19/0.46 % Version : Especial.
% 0.19/0.46 % English :
% 0.19/0.46
% 0.19/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.46 % Source : [Bro09]
% 0.19/0.46 % Names : tps_0657 [Bro09]
% 0.19/0.46
% 0.19/0.46 % Status : Theorem
% 0.19/0.46 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.19/0.46 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.19/0.46 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.19/0.46 % Maximal formula atoms : 6 ( 6 avg)
% 0.19/0.46 % Number of connectives : 5 ( 0 ~; 0 |; 1 &; 0 @)
% 0.19/0.46 % ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% 0.19/0.46 % Maximal formula depth : 4 ( 4 avg)
% 0.19/0.46 % Number of types : 1 ( 0 usr)
% 0.19/0.46 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.19/0.46 % Number of symbols : 3 ( 3 usr; 3 con; 0-0 aty)
% 0.19/0.46 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 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 %------------------------------------------------------------------------------
% 0.19/0.46 thf(cR,type,
% 0.19/0.46 cR: $o ).
% 0.19/0.46
% 0.19/0.46 thf(cP,type,
% 0.19/0.46 cP: $o ).
% 0.19/0.46
% 0.19/0.46 thf(cQ,type,
% 0.19/0.46 cQ: $o ).
% 0.19/0.46
% 0.19/0.46 thf(cTRIV4,conjecture,
% 0.19/0.46 ( ( ( cP
% 0.19/0.46 <=> cQ )
% 0.19/0.46 & ( cQ
% 0.19/0.46 <=> cR ) )
% 0.19/0.46 => ( cP
% 0.19/0.46 <=> cR ) ) ).
% 0.19/0.46
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 ------------------------
% 1.48/1.38 ---- Embedded in THF ---
% 1.48/1.38 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.48/1.38 %%% Generated on Tue Feb 24 14:25:20 EST 2026
% 1.48/1.38 %%% using '$$dhol' embedding, version 1.3.0.
% 1.48/1.38 %%% Logic specification used:
% 1.48/1.38 %%% thf(spec, logic, $$dhol).
% 1.48/1.38
% 1.48/1.38 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.Wud4xfr20m/DTF2DTF521.p
% See solution above
% 1.48/1.38 ------------------------
% 1.48/1.39 ---- Cleaned THF ---
% 1.48/1.39 thf(cR,type,
% 1.48/1.39 cR: $o ).
% 1.48/1.39
% 1.48/1.39 thf(cP,type,
% 1.48/1.39 cP: $o ).
% 1.48/1.39
% 1.48/1.39 thf(cQ,type,
% 1.48/1.39 cQ: $o ).
% 1.48/1.39
% 1.48/1.39 thf(cTRIV4,conjecture,
% 1.48/1.39 ( ( ( cP
% 1.48/1.39 <=> cQ )
% 1.48/1.39 & ( cQ
% 1.48/1.39 <=> cR ) )
% 1.48/1.39 => ( cP
% 1.48/1.39 <=> cR ) ) ).
% 1.48/1.39 ------------------------
% 1.64/1.41 % (625)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_521 for (3000ds/2Mi)
% 1.64/1.41 % (626)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_521 for (3000ds/2Mi)
% 1.64/1.41 % (623)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_521 for (3000ds/4Mi)
% 1.64/1.41 % (622)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_521 for (3000ds/183Mi)
% 1.64/1.41 % (624)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_521 for (3000ds/27Mi)
% 1.64/1.41 % (627)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_521 for (3000ds/275Mi)
% 1.64/1.41 % (628)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_521 for (3000ds/18Mi)
% 1.64/1.41 % (622)First to succeed.
% 1.64/1.41 % (623)Also succeeded, but the first one will report.
% 1.64/1.41 % (624)Also succeeded, but the first one will report.
% 1.64/1.41 % (622)Refutation found. Thanks to Tanya!
% 1.64/1.41 % SZS status Theorem for DTF2THF_521
% 1.64/1.41 % SZS output start Proof for DTF2THF_521
% 1.64/1.41 tff(f14,plain,(
% 1.64/1.41 $false),
% 1.64/1.41 inference(trivial_inequality_removal,[status(thm)],[f13])).
% 1.64/1.41 tff(f13,plain,(
% 1.64/1.41 (cR != cR)),
% 1.64/1.41 inference(definition_unfolding,[status(thm)],[f9,f12])).
% 1.64/1.41 tff(f12,plain,(
% 1.64/1.41 (cP = cR)),
% 1.64/1.41 inference(definition_unfolding,[status(thm)],[f10,f11])).
% 1.64/1.41 tff(f11,plain,(
% 1.64/1.41 (cQ = cR)),
% 1.64/1.41 inference(cnf_transformation,[status(thm)],[f8])).
% 1.64/1.41 tff(f8,plain,(
% 1.64/1.41 (cQ = cR) & (cP = cQ) & (cP != cR)),
% 1.64/1.41 inference(flattening,[status(thm)],[f7])).
% 1.64/1.41 tff(f7,plain,(
% 1.64/1.41 (cP != cR) & ((cQ = cR) & (cP = cQ))),
% 1.64/1.41 inference(ennf_transformation,[status(thm)],[f6])).
% 1.64/1.41 tff(f6,plain,(
% 1.64/1.41 ~(((cQ = cR) & (cP = cQ)) => (cP = cR))),
% 1.64/1.41 inference(fool_elimination,[status(thm)],[f5])).
% 1.64/1.41 tff(f5,plain,(
% 1.64/1.41 ~(((cR <=> cQ) & (cQ <=> cP)) => (cP <=> cR))),
% 1.64/1.41 inference(rectify,[status(thm)],[f2])).
% 1.64/1.41 tff(f2,negated_conjecture,(
% 1.64/1.41 ~(((cR <=> cQ) & (cQ <=> cP)) => (cP <=> cR))),
% 1.64/1.41 inference(negated_conjecture,[status(cth)],[f1])).
% 1.64/1.41 tff(f1,conjecture,(
% 1.64/1.41 ((cR <=> cQ) & (cQ <=> cP)) => (cP <=> cR)),
% 1.64/1.41 file('/export/starexec/sandbox/tmp/tmp.Wud4xfr20m/DTF2THF_521.p',cTRIV4)).
% 1.64/1.41 tff(f10,plain,(
% 1.64/1.41 (cP = cQ)),
% 1.64/1.41 inference(cnf_transformation,[status(thm)],[f8])).
% 1.64/1.41 tff(f9,plain,(
% 1.64/1.41 (cP != cR)),
% 1.64/1.41 inference(cnf_transformation,[status(thm)],[f8])).
% 1.64/1.41 % SZS output end Proof for DTF2THF_521
% 1.64/1.41 % (622)------------------------------
% 1.64/1.41 % (622)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.41 % (622)Termination reason: Refutation
% 1.64/1.41
% 1.64/1.41 % (622)Memory used [KB]: 5373
% 1.64/1.41 % (622)Time elapsed: 0.003 s
% 1.64/1.41 % (622)Instructions burned: 1 (million)
% 1.64/1.41 % (622)------------------------------
% 1.64/1.41 % (622)------------------------------
% 1.64/1.41 % (621)Success in time 0.016 s
%------------------------------------------------------------------------------