%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO086^5 : 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 : n025.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 09:53:21 AM UTC 2026
% Result : Theorem 1.65s 1.42s
% Output : Refutation 1.65s
% 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 : 175 ( 48 equ)
% Maximal formula atoms : 10 ( 12 avg)
% Number of connectives : 110 ( 45 ~; 16 |; 39 &)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 96 ( 96 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(f21,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f20,f19]) ).
tff(f19,plain,
cQ != $true,
inference(subsumption_resolution,[status(thm)],[f13,f14]) ).
tff(f14,plain,
cP != $true,
inference(cnf_transformation,[status(thm)],[f8]) ).
tff(f8,plain,
( ( ( ( cR = $true )
& ( cQ != $true ) )
| ( ( cR != $true )
& ( cQ = $true ) ) )
& ( cP != $true )
& ( ( ( cQ != $true )
& ( cP != $true ) )
| ( ( cP = $true )
& ( cQ = $true ) ) )
& ( cR != $true ) ),
inference(flattening,[status(thm)],[f7]) ).
tff(f7,plain,
( ( cR != $true )
& ( ( ( cQ != $true )
& ( cP != $true ) )
| ( ( cP = $true )
& ( cQ = $true ) ) )
& ( cP != $true )
& ( ( ( cR = $true )
& ( cQ != $true ) )
| ( ( cR != $true )
& ( cQ = $true ) ) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
~ ( ( ( cP != $true )
& ( ( ( cR = $true )
& ( cQ != $true ) )
| ( ( cR != $true )
& ( cQ = $true ) ) ) )
=> ( ( ( ( cQ != $true )
& ( cP != $true ) )
| ( ( cP = $true )
& ( cQ = $true ) ) )
=> ( cR = $true ) ) ),
inference(flattening,[status(thm)],[f5]) ).
tff(f5,plain,
~ ( ( ( ( ( cQ = $true )
& ( cR != $true ) )
| ( ( cQ != $true )
& ( cR = $true ) ) )
& ( cP != $true ) )
=> ( ( ( ( cP != $true )
& ( cQ != $true ) )
| ( ( cP = $true )
& ( cQ = $true ) ) )
=> ( cR = $true ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
tff(f4,plain,
~ ( ( ( ( cQ
& ~ cR )
| ( ~ cQ
& cR ) )
& ~ cP )
=> ( ( ( ~ cP
& ~ cQ )
| ( cP
& cQ ) )
=> cR ) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( ( cQ
& ~ cR )
| ( ~ cQ
& cR ) )
& ~ cP )
=> ( ( ( ~ cP
& ~ cQ )
| ( cP
& cQ ) )
=> cR ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
( ( ( ( cQ
& ~ cR )
| ( ~ cQ
& cR ) )
& ~ cP )
=> ( ( ( ~ cP
& ~ cQ )
| ( cP
& cQ ) )
=> cR ) ),
file('/export/starexec/sandbox/tmp/tmp.D2hS1tWd9F/DTF2THF_863.p',cTHM50_11) ).
tff(f13,plain,
( ( cQ != $true )
| ( cP = $true ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
tff(f20,plain,
cQ = $true,
inference(subsumption_resolution,[status(thm)],[f17,f9]) ).
tff(f9,plain,
cR != $true,
inference(cnf_transformation,[status(thm)],[f8]) ).
tff(f17,plain,
( ( cR = $true )
| ( cQ = $true ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO086^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.35 % Computer : n025.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Tue Feb 24 14:24:12 EST 2026
% 0.16/0.35 % CPUTime :
% 0.16/0.35 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 : SYO086^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.46 % Domain : Syntactic
% 0.19/0.46 % Problem : TPS problem THM50-11
% 0.19/0.46 % Version : Especial.
% 0.19/0.46 % English : Simple formula for debugging.
% 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_0121 [Bro09]
% 0.19/0.46 % : THM50-11 [TPS]
% 0.19/0.46
% 0.19/0.46 % Status : Theorem
% 0.19/0.46 % 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 v6.0.0, 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 : 10 ( 0 equ; 0 cnn)
% 0.19/0.46 % Maximal formula atoms : 10 ( 10 avg)
% 0.19/0.46 % Number of connectives : 14 ( 5 ~; 2 |; 5 &; 0 @)
% 0.19/0.46 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.19/0.46 % Maximal formula depth : 6 ( 6 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(cQ,type,
% 0.19/0.46 cQ: $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(cTHM50_11,conjecture,
% 0.19/0.46 ( ( ~ cP
% 0.19/0.46 & ( ( cQ
% 0.19/0.46 & ~ cR )
% 0.19/0.46 | ( ~ cQ
% 0.19/0.46 & cR ) ) )
% 0.19/0.46 => ( ( ( cP
% 0.19/0.46 & cQ )
% 0.19/0.46 | ( ~ cP
% 0.19/0.46 & ~ cQ ) )
% 0.19/0.46 => cR ) ) ).
% 0.19/0.46
% 0.19/0.46 %------------------------------------------------------------------------------
% 0.19/0.46 ------------------------
% 1.47/1.39 ---- Embedded in THF ---
% 1.47/1.39 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.47/1.39 %%% Generated on Tue Feb 24 14:24:13 EST 2026
% 1.47/1.39 %%% using '$$dhol' embedding, version 1.3.0.
% 1.47/1.39 %%% Logic specification used:
% 1.47/1.39 %%% thf(spec, logic, $$dhol).
% 1.47/1.39
% 1.47/1.39 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.D2hS1tWd9F/DTF2DTF863.p
% See solution above
% 1.47/1.39 ------------------------
% 1.65/1.40 ---- Cleaned THF ---
% 1.65/1.40 thf(cR,type,
% 1.65/1.40 cR: $o ).
% 1.65/1.40
% 1.65/1.40 thf(cQ,type,
% 1.65/1.40 cQ: $o ).
% 1.65/1.40
% 1.65/1.40 thf(cP,type,
% 1.65/1.40 cP: $o ).
% 1.65/1.40
% 1.65/1.40 thf(cTHM50_11,conjecture,
% 1.65/1.40 ( ( ~ cP
% 1.65/1.40 & ( ( cQ
% 1.65/1.40 & ~ cR )
% 1.65/1.40 | ( ~ cQ
% 1.65/1.40 & cR ) ) )
% 1.65/1.40 => ( ( ( cP
% 1.65/1.40 & cQ )
% 1.65/1.40 | ( ~ cP
% 1.65/1.40 & ~ cQ ) )
% 1.65/1.40 => cR ) ) ).
% 1.65/1.40 ------------------------
% 1.65/1.42 % (975)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_863 for (3000ds/27Mi)
% 1.65/1.42 % (973)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_863 for (3000ds/183Mi)
% 1.65/1.42 % (976)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_863 for (3000ds/2Mi)
% 1.65/1.42 % (974)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_863 for (3000ds/4Mi)
% 1.65/1.42 % (977)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_863 for (3000ds/2Mi)
% 1.65/1.42 % (978)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_863 for (3000ds/275Mi)
% 1.65/1.42 % (979)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_863 for (3000ds/18Mi)
% 1.65/1.42 % (974)First to succeed.
% 1.65/1.42 % (973)Also succeeded, but the first one will report.
% 1.65/1.42 % (979)Also succeeded, but the first one will report.
% 1.65/1.42 % (974)Refutation found. Thanks to Tanya!
% 1.65/1.42 % SZS status Theorem for DTF2THF_863
% 1.65/1.42 % SZS output start Proof for DTF2THF_863
% 1.65/1.42 tff(f21,plain,(
% 1.65/1.42 $false),
% 1.65/1.42 inference(subsumption_resolution,[status(thm)],[f20,f19])).
% 1.65/1.42 tff(f19,plain,(
% 1.65/1.42 (cQ != $true)),
% 1.65/1.42 inference(subsumption_resolution,[status(thm)],[f13,f14])).
% 1.65/1.42 tff(f14,plain,(
% 1.65/1.42 (cP != $true)),
% 1.65/1.42 inference(cnf_transformation,[status(thm)],[f8])).
% 1.65/1.42 tff(f8,plain,(
% 1.65/1.42 (((cR = $true) & (cQ != $true)) | ((cR != $true) & (cQ = $true))) & (cP != $true) & (((cQ != $true) & (cP != $true)) | ((cP = $true) & (cQ = $true))) & (cR != $true)),
% 1.65/1.42 inference(flattening,[status(thm)],[f7])).
% 1.65/1.42 tff(f7,plain,(
% 1.65/1.42 ((cR != $true) & (((cQ != $true) & (cP != $true)) | ((cP = $true) & (cQ = $true)))) & ((cP != $true) & (((cR = $true) & (cQ != $true)) | ((cR != $true) & (cQ = $true))))),
% 1.65/1.42 inference(ennf_transformation,[status(thm)],[f6])).
% 1.65/1.42 tff(f6,plain,(
% 1.65/1.42 ~(((cP != $true) & (((cR = $true) & (cQ != $true)) | ((cR != $true) & (cQ = $true)))) => ((((cQ != $true) & (cP != $true)) | ((cP = $true) & (cQ = $true))) => (cR = $true)))),
% 1.65/1.42 inference(flattening,[status(thm)],[f5])).
% 1.65/1.42 tff(f5,plain,(
% 1.65/1.42 ~(((((cQ = $true) & ~(cR = $true)) | (~(cQ = $true) & (cR = $true))) & ~(cP = $true)) => (((~(cP = $true) & ~(cQ = $true)) | ((cP = $true) & (cQ = $true))) => (cR = $true)))),
% 1.65/1.42 inference(fool_elimination,[status(thm)],[f4])).
% 1.65/1.42 tff(f4,plain,(
% 1.65/1.42 ~((((cQ & ~cR) | (~cQ & cR)) & ~cP) => (((~cP & ~cQ) | (cP & cQ)) => cR))),
% 1.65/1.42 inference(rectify,[status(thm)],[f2])).
% 1.65/1.42 tff(f2,negated_conjecture,(
% 1.65/1.42 ~((((cQ & ~cR) | (~cQ & cR)) & ~cP) => (((~cP & ~cQ) | (cP & cQ)) => cR))),
% 1.65/1.42 inference(negated_conjecture,[status(cth)],[f1])).
% 1.65/1.42 tff(f1,conjecture,(
% 1.65/1.42 (((cQ & ~cR) | (~cQ & cR)) & ~cP) => (((~cP & ~cQ) | (cP & cQ)) => cR)),
% 1.65/1.42 file('/export/starexec/sandbox/tmp/tmp.D2hS1tWd9F/DTF2THF_863.p',cTHM50_11)).
% 1.65/1.42 tff(f13,plain,(
% 1.65/1.42 (cQ != $true) | (cP = $true)),
% 1.65/1.42 inference(cnf_transformation,[status(thm)],[f8])).
% 1.65/1.42 tff(f20,plain,(
% 1.65/1.42 (cQ = $true)),
% 1.65/1.42 inference(subsumption_resolution,[status(thm)],[f17,f9])).
% 1.65/1.42 tff(f9,plain,(
% 1.65/1.42 (cR != $true)),
% 1.65/1.42 inference(cnf_transformation,[status(thm)],[f8])).
% 1.65/1.42 tff(f17,plain,(
% 1.65/1.42 (cR = $true) | (cQ = $true)),
% 1.65/1.42 inference(cnf_transformation,[status(thm)],[f8])).
% 1.65/1.42 % SZS output end Proof for DTF2THF_863
% 1.65/1.42 % (974)------------------------------
% 1.65/1.42 % (974)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.42 % (974)Termination reason: Refutation
% 1.65/1.42
% 1.65/1.42 % (974)Memory used [KB]: 5373
% 1.65/1.42 % (974)Time elapsed: 0.003 s
% 1.65/1.42 % (974)Instructions burned: 1 (million)
% 1.65/1.42 % (974)------------------------------
% 1.65/1.42 % (974)------------------------------
% 1.65/1.42 % (972)Success in time 0.018 s
%------------------------------------------------------------------------------