%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO124^5 : 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 : n012.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 09:53:25 AM UTC 2026
% Result : Theorem 0.24s 1.33s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 14 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 103 ( 28 equ)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 48 ( 15 ~; 15 |; 14 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 56 ( 56 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 3 usr; 5 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f16,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f15,f14]) ).
tff(f14,plain,
cR != $true,
inference(trivial_inequality_removal,[status(thm)],[f13]) ).
tff(f13,plain,
( ( cR != $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f10,f9]) ).
tff(f9,plain,
cP = $true,
inference(cnf_transformation,[status(thm)],[f8]) ).
tff(f8,plain,
( ( ( cQ = $true )
| ( cR = $true ) )
& ( cQ != $true )
& ( ( cP != $true )
| ( cR != $true ) )
& ( cP = $true ) ),
inference(flattening,[status(thm)],[f7]) ).
tff(f7,plain,
( ( cQ != $true )
& ( ( cP != $true )
| ( cR != $true ) )
& ( cP = $true )
& ( ( cQ = $true )
| ( cR = $true ) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
~ ( ( ( cP = $true )
& ( ( cQ = $true )
| ( cR = $true ) ) )
=> ( ( cQ = $true )
| ( ( cR = $true )
& ( cP = $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ( ( ( cR
| cQ )
& cP )
=> ( cQ
| ( cP
& cR ) ) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( cR
| cQ )
& cP )
=> ( cQ
| ( cP
& cR ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
( ( ( cR
| cQ )
& cP )
=> ( cQ
| ( cP
& cR ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UIM5xQYbgA/DTF2THF_11821.p',cDISJ_BUG) ).
tff(f10,plain,
( ( cP != $true )
| ( cR != $true ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
tff(f15,plain,
cR = $true,
inference(subsumption_resolution,[status(thm)],[f12,f11]) ).
tff(f11,plain,
cQ != $true,
inference(cnf_transformation,[status(thm)],[f8]) ).
tff(f12,plain,
( ( cQ = $true )
| ( cR = $true ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO124^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.30 % Computer : n012.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Feb 24 14:24:30 EST 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.39 ---- Original DTF file ---
% 0.17/0.39 thf(spec,logic,$$dhol).
% 0.17/0.39 %------------------------------------------------------------------------------
% 0.17/0.39 % File : SYO124^5 : TPTP v9.2.1. Released v4.0.0.
% 0.17/0.39 % Domain : Syntactic
% 0.17/0.39 % Problem : TPS problem from BASIC-FO-THMS
% 0.17/0.39 % Version : Especial.
% 0.17/0.39 % English :
% 0.17/0.39
% 0.17/0.39 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.17/0.39 % Source : [Bro09]
% 0.17/0.39 % Names : tps_0648 [Bro09]
% 0.17/0.39
% 0.17/0.39 % Status : Theorem
% 0.17/0.39 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.17/0.39 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.17/0.39 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.17/0.39 % Maximal formula atoms : 6 ( 6 avg)
% 0.17/0.39 % Number of connectives : 5 ( 0 ~; 2 |; 2 &; 0 @)
% 0.17/0.39 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.17/0.39 % Maximal formula depth : 4 ( 4 avg)
% 0.17/0.39 % Number of types : 1 ( 0 usr)
% 0.17/0.39 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.17/0.39 % Number of symbols : 3 ( 3 usr; 3 con; 0-0 aty)
% 0.17/0.39 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.17/0.39 % SPC : TH0_THM_NEQ_NAR
% 0.17/0.39
% 0.17/0.39 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.17/0.39 % project in the Department of Mathematical Sciences at Carnegie
% 0.17/0.39 % Mellon University. Distributed under the Creative Commons copyleft
% 0.17/0.39 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.17/0.39 %------------------------------------------------------------------------------
% 0.17/0.39 thf(cQ,type,
% 0.17/0.39 cQ: $o ).
% 0.17/0.39
% 0.17/0.39 thf(cR,type,
% 0.17/0.39 cR: $o ).
% 0.17/0.39
% 0.17/0.39 thf(cP,type,
% 0.17/0.39 cP: $o ).
% 0.17/0.39
% 0.17/0.39 thf(cDISJ_BUG,conjecture,
% 0.17/0.39 ( ( cP
% 0.17/0.39 & ( cR
% 0.17/0.39 | cQ ) )
% 0.17/0.39 => ( ( cP
% 0.17/0.39 & cR )
% 0.17/0.39 | cQ ) ) ).
% 0.17/0.39
% 0.17/0.39 %------------------------------------------------------------------------------
% 0.17/0.39 ------------------------
% 0.24/1.30 ---- Embedded in THF ---
% 0.24/1.30 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 0.24/1.30 %%% Generated on Tue Feb 24 14:24:31 EST 2026
% 0.24/1.30 %%% using '$$dhol' embedding, version 1.3.0.
% 0.24/1.30 %%% Logic specification used:
% 0.24/1.30 %%% thf(spec, logic, $$dhol).
% 0.24/1.30
% 0.24/1.30 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.UIM5xQYbgA/DTF2DTF11821.p
% See solution above
% 0.24/1.30 ------------------------
% 0.24/1.31 ---- Cleaned THF ---
% 0.24/1.31 thf(cQ,type,
% 0.24/1.31 cQ: $o ).
% 0.24/1.31
% 0.24/1.31 thf(cR,type,
% 0.24/1.31 cR: $o ).
% 0.24/1.31
% 0.24/1.31 thf(cP,type,
% 0.24/1.31 cP: $o ).
% 0.24/1.31
% 0.24/1.31 thf(cDISJ_BUG,conjecture,
% 0.24/1.31 ( ( cP
% 0.24/1.31 & ( cR
% 0.24/1.31 | cQ ) )
% 0.24/1.31 => ( ( cP
% 0.24/1.31 & cR )
% 0.24/1.31 | cQ ) ) ).
% 0.24/1.31 ------------------------
% 0.24/1.33 % (11922)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_11821 for (3000ds/2Mi)
% 0.24/1.33 % (11924)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_11821 for (3000ds/18Mi)
% 0.24/1.33 % (11919)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_11821 for (3000ds/4Mi)
% 0.24/1.33 % (11918)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_11821 for (3000ds/183Mi)
% 0.24/1.33 % (11920)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_11821 for (3000ds/27Mi)
% 0.24/1.33 % (11923)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_11821 for (3000ds/275Mi)
% 0.24/1.33 % (11923)First to succeed.
% 0.24/1.33 % (11918)Also succeeded, but the first one will report.
% 0.24/1.33 % (11921)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_11821 for (3000ds/2Mi)
% 0.24/1.33 % (11922)Also succeeded, but the first one will report.
% 0.24/1.33 % (11919)Also succeeded, but the first one will report.
% 0.24/1.33 % (11923)Refutation found. Thanks to Tanya!
% 0.24/1.33 % SZS status Theorem for DTF2THF_11821
% 0.24/1.33 % SZS output start Proof for DTF2THF_11821
% 0.24/1.33 tff(f16,plain,(
% 0.24/1.33 $false),
% 0.24/1.33 inference(subsumption_resolution,[status(thm)],[f15,f14])).
% 0.24/1.33 tff(f14,plain,(
% 0.24/1.33 (cR != $true)),
% 0.24/1.33 inference(trivial_inequality_removal,[status(thm)],[f13])).
% 0.24/1.33 tff(f13,plain,(
% 0.24/1.33 (cR != $true) | ($true != $true)),
% 0.24/1.33 inference(definition_unfolding,[status(thm)],[f10,f9])).
% 0.24/1.33 tff(f9,plain,(
% 0.24/1.33 (cP = $true)),
% 0.24/1.33 inference(cnf_transformation,[status(thm)],[f8])).
% 0.24/1.33 tff(f8,plain,(
% 0.24/1.33 ((cQ = $true) | (cR = $true)) & (cQ != $true) & ((cP != $true) | (cR != $true)) & (cP = $true)),
% 0.24/1.33 inference(flattening,[status(thm)],[f7])).
% 0.24/1.33 tff(f7,plain,(
% 0.24/1.33 ((cQ != $true) & ((cP != $true) | (cR != $true))) & ((cP = $true) & ((cQ = $true) | (cR = $true)))),
% 0.24/1.33 inference(ennf_transformation,[status(thm)],[f6])).
% 0.24/1.33 tff(f6,plain,(
% 0.24/1.33 ~(((cP = $true) & ((cQ = $true) | (cR = $true))) => ((cQ = $true) | ((cR = $true) & (cP = $true))))),
% 0.24/1.33 inference(fool_elimination,[status(thm)],[f5])).
% 0.24/1.33 tff(f5,plain,(
% 0.24/1.33 ~(((cR | cQ) & cP) => (cQ | (cP & cR)))),
% 0.24/1.33 inference(rectify,[status(thm)],[f2])).
% 0.24/1.33 tff(f2,negated_conjecture,(
% 0.24/1.33 ~(((cR | cQ) & cP) => (cQ | (cP & cR)))),
% 0.24/1.33 inference(negated_conjecture,[status(cth)],[f1])).
% 0.24/1.33 tff(f1,conjecture,(
% 0.24/1.33 ((cR | cQ) & cP) => (cQ | (cP & cR))),
% 0.24/1.33 file('/export/starexec/sandbox/tmp/tmp.UIM5xQYbgA/DTF2THF_11821.p',cDISJ_BUG)).
% 0.24/1.33 tff(f10,plain,(
% 0.24/1.33 (cP != $true) | (cR != $true)),
% 0.24/1.33 inference(cnf_transformation,[status(thm)],[f8])).
% 0.24/1.33 tff(f15,plain,(
% 0.24/1.33 (cR = $true)),
% 0.24/1.33 inference(subsumption_resolution,[status(thm)],[f12,f11])).
% 0.24/1.33 tff(f11,plain,(
% 0.24/1.33 (cQ != $true)),
% 0.24/1.33 inference(cnf_transformation,[status(thm)],[f8])).
% 0.24/1.33 tff(f12,plain,(
% 0.24/1.33 (cQ = $true) | (cR = $true)),
% 0.24/1.33 inference(cnf_transformation,[status(thm)],[f8])).
% 0.24/1.33 % SZS output end Proof for DTF2THF_11821
% 0.24/1.33 % (11923)------------------------------
% 0.24/1.33 % (11923)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 0.24/1.33 % (11923)Termination reason: Refutation
% 0.24/1.33
% 0.24/1.33 % (11923)Memory used [KB]: 5373
% 0.24/1.33 % (11923)Time elapsed: 0.003 s
% 0.24/1.33 % (11923)Instructions burned: 1 (million)
% 0.24/1.33 % (11923)------------------------------
% 0.24/1.33 % (11923)------------------------------
% 0.24/1.33 % (11917)Success in time 0.019 s
%------------------------------------------------------------------------------