%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO080^5 : 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 09:53:20 AM UTC 2026
% Result : Theorem 1.67s 1.45s
% Output : Refutation 1.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 22 equ)
% Maximal formula atoms : 6 ( 7 avg)
% Number of connectives : 38 ( 9 ~; 6 |; 3 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 44 ( 44 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 4 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f15,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f14,f8]) ).
tff(f8,plain,
cB != $true,
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f7,plain,
( ( ( ( ( cA = $true )
| ( ( cA = $true )
& ( cB != $true ) ) )
& ( cA != $true ) )
| ( cB = $true ) )
& ( cB != $true ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
~ ( ( ( ( ( ( cA = $true )
=> ( cB = $true ) )
=> ( cA = $true ) )
=> ( cA = $true ) )
=> ( cB = $true ) )
=> ( cB = $true ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ( ( ( ( ( cA
=> cB )
=> cA )
=> cA )
=> cB )
=> cB ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( ( ( cA
=> cB )
=> cA )
=> cA )
=> cB )
=> cB ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
( ( ( ( ( cA
=> cB )
=> cA )
=> cA )
=> cB )
=> cB ),
file('/export/starexec/sandbox/tmp/tmp.k4m2orvG0n/DTF2THF_30321.p',cTHM200) ).
tff(f14,plain,
cB = $true,
inference(subsumption_resolution,[status(thm)],[f12,f13]) ).
tff(f13,plain,
cA != $true,
inference(subsumption_resolution,[status(thm)],[f9,f8]) ).
tff(f9,plain,
( ( cA != $true )
| ( cB = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f12,plain,
( ( cA = $true )
| ( cB = $true ) ),
inference(duplicate_literal_removal,[status(thm)],[f11]) ).
tff(f11,plain,
( ( cB = $true )
| ( cA = $true )
| ( cA = $true ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO080^5 : TPTP v9.2.1. Released v4.0.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.34 % Computer : n023.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue Feb 24 14:24:34 EST 2026
% 0.18/0.34 % CPUTime :
% 0.18/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.33/0.48 ---- Original DTF file ---
% 0.33/0.48 thf(spec,logic,$$dhol).
% 0.33/0.48 %------------------------------------------------------------------------------
% 0.33/0.48 % File : SYO080^5 : TPTP v9.2.1. Released v4.0.0.
% 0.33/0.48 % Domain : Syntactic
% 0.33/0.48 % Problem : TPS problem THM200
% 0.33/0.48 % Version : Especial.
% 0.33/0.48 % English : Nepejvoda's problem; supposedly a difficult ND problem.
% 0.33/0.48
% 0.33/0.48 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.33/0.48 % Source : [Bro09]
% 0.33/0.48 % Names : tps_0045 [Bro09]
% 0.33/0.48 % : THM200 [TPS]
% 0.33/0.48
% 0.33/0.48 % Status : Theorem
% 0.33/0.48 % Rating : 0.08 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.33/0.48 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.33/0.48 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.33/0.48 % Maximal formula atoms : 6 ( 6 avg)
% 0.33/0.48 % Number of connectives : 5 ( 0 ~; 0 |; 0 &; 0 @)
% 0.33/0.48 % ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% 0.33/0.48 % Maximal formula depth : 6 ( 6 avg)
% 0.33/0.48 % Number of types : 1 ( 0 usr)
% 0.33/0.48 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.33/0.48 % Number of symbols : 2 ( 2 usr; 2 con; 0-0 aty)
% 0.33/0.48 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.33/0.48 % SPC : TH0_THM_NEQ_NAR
% 0.33/0.48
% 0.33/0.48 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.33/0.48 % project in the Department of Mathematical Sciences at Carnegie
% 0.33/0.48 % Mellon University. Distributed under the Creative Commons copyleft
% 0.33/0.48 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.33/0.48 %------------------------------------------------------------------------------
% 0.33/0.48 thf(cB,type,
% 0.33/0.48 cB: $o ).
% 0.33/0.48
% 0.33/0.48 thf(cA,type,
% 0.33/0.48 cA: $o ).
% 0.33/0.48
% 0.33/0.48 thf(cTHM200,conjecture,
% 0.33/0.48 ( ( ( ( ( cA
% 0.33/0.48 => cB )
% 0.33/0.48 => cA )
% 0.33/0.48 => cA )
% 0.33/0.48 => cB )
% 0.33/0.48 => cB ) ).
% 0.33/0.48
% 0.33/0.48 %------------------------------------------------------------------------------
% 0.33/0.48 ------------------------
% 1.67/1.42 ---- Embedded in THF ---
% 1.67/1.42 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.67/1.42 %%% Generated on Tue Feb 24 14:24:35 EST 2026
% 1.67/1.42 %%% using '$$dhol' embedding, version 1.3.0.
% 1.67/1.42 %%% Logic specification used:
% 1.67/1.42 %%% thf(spec, logic, $$dhol).
% 1.67/1.42
% 1.67/1.42 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.k4m2orvG0n/DTF2DTF30321.p
% See solution above
% 1.67/1.42 ------------------------
% 1.67/1.43 ---- Cleaned THF ---
% 1.67/1.43 thf(cB,type,
% 1.67/1.43 cB: $o ).
% 1.67/1.43
% 1.67/1.43 thf(cA,type,
% 1.67/1.43 cA: $o ).
% 1.67/1.43
% 1.67/1.43 thf(cTHM200,conjecture,
% 1.67/1.43 ( ( ( ( ( cA
% 1.67/1.43 => cB )
% 1.67/1.43 => cA )
% 1.67/1.43 => cA )
% 1.67/1.43 => cB )
% 1.67/1.43 => cB ) ).
% 1.67/1.43 ------------------------
% 1.67/1.45 % (30462)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_30321 for (3000ds/183Mi)
% 1.67/1.45 % (30463)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_30321 for (3000ds/4Mi)
% 1.67/1.45 % (30465)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_30321 for (3000ds/2Mi)
% 1.67/1.45 % (30464)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_30321 for (3000ds/27Mi)
% 1.67/1.45 % (30467)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_30321 for (3000ds/275Mi)
% 1.67/1.45 % (30466)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_30321 for (3000ds/2Mi)
% 1.67/1.45 % (30468)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_30321 for (3000ds/18Mi)
% 1.67/1.45 % (30462)First to succeed.
% 1.67/1.45 % (30467)Also succeeded, but the first one will report.
% 1.67/1.45 % (30463)Also succeeded, but the first one will report.
% 1.67/1.45 % (30462)Refutation found. Thanks to Tanya!
% 1.67/1.45 % SZS status Theorem for DTF2THF_30321
% 1.67/1.45 % SZS output start Proof for DTF2THF_30321
% 1.67/1.45 tff(f15,plain,(
% 1.67/1.45 $false),
% 1.67/1.45 inference(subsumption_resolution,[status(thm)],[f14,f8])).
% 1.67/1.45 tff(f8,plain,(
% 1.67/1.45 (cB != $true)),
% 1.67/1.45 inference(cnf_transformation,[status(thm)],[f7])).
% 1.67/1.45 tff(f7,plain,(
% 1.67/1.45 ((((cA = $true) | ((cA = $true) & (cB != $true))) & (cA != $true)) | (cB = $true)) & (cB != $true)),
% 1.67/1.45 inference(ennf_transformation,[status(thm)],[f6])).
% 1.67/1.45 tff(f6,plain,(
% 1.67/1.45 ~((((((cA = $true) => (cB = $true)) => (cA = $true)) => (cA = $true)) => (cB = $true)) => (cB = $true))),
% 1.67/1.45 inference(fool_elimination,[status(thm)],[f5])).
% 1.67/1.45 tff(f5,plain,(
% 1.67/1.45 ~(((((cA => cB) => cA) => cA) => cB) => cB)),
% 1.67/1.45 inference(rectify,[status(thm)],[f2])).
% 1.67/1.45 tff(f2,negated_conjecture,(
% 1.67/1.45 ~(((((cA => cB) => cA) => cA) => cB) => cB)),
% 1.67/1.45 inference(negated_conjecture,[status(cth)],[f1])).
% 1.67/1.45 tff(f1,conjecture,(
% 1.67/1.45 ((((cA => cB) => cA) => cA) => cB) => cB),
% 1.67/1.45 file('/export/starexec/sandbox/tmp/tmp.k4m2orvG0n/DTF2THF_30321.p',cTHM200)).
% 1.67/1.45 tff(f14,plain,(
% 1.67/1.45 (cB = $true)),
% 1.67/1.45 inference(subsumption_resolution,[status(thm)],[f12,f13])).
% 1.67/1.45 tff(f13,plain,(
% 1.67/1.45 (cA != $true)),
% 1.67/1.45 inference(subsumption_resolution,[status(thm)],[f9,f8])).
% 1.67/1.45 tff(f9,plain,(
% 1.67/1.45 (cA != $true) | (cB = $true)),
% 1.67/1.45 inference(cnf_transformation,[status(thm)],[f7])).
% 1.67/1.45 tff(f12,plain,(
% 1.67/1.45 (cA = $true) | (cB = $true)),
% 1.67/1.45 inference(duplicate_literal_removal,[status(thm)],[f11])).
% 1.67/1.45 tff(f11,plain,(
% 1.67/1.45 (cB = $true) | (cA = $true) | (cA = $true)),
% 1.67/1.45 inference(cnf_transformation,[status(thm)],[f7])).
% 1.67/1.45 % SZS output end Proof for DTF2THF_30321
% 1.67/1.45 % (30462)------------------------------
% 1.67/1.45 % (30462)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.67/1.45 % (30462)Termination reason: Refutation
% 1.67/1.45
% 1.67/1.45 % (30462)Memory used [KB]: 5373
% 1.67/1.45 % (30462)Time elapsed: 0.003 s
% 1.67/1.45 % (30462)Instructions burned: 1 (million)
% 1.67/1.45 % (30462)------------------------------
% 1.67/1.45 % (30462)------------------------------
% 1.67/1.45 % (30461)Success in time 0.018 s
%------------------------------------------------------------------------------