%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO185^5 : 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 : n021.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 09:53:36 AM UTC 2026
% Result : Theorem 1.53s 1.35s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 7 equ)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 11 ( 6 ~; 0 |; 1 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 14 ( 14 fml; 0 var)
% Number of types : 1 ( 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 : 2 ( 0 !; 2 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(f11,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f10]) ).
tff(f10,plain,
$true != $true,
inference(definition_unfolding,[status(thm)],[f8,f9]) ).
tff(f9,plain,
y = $true,
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f7,plain,
( ( y = $true )
& ( y != $true ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
~ ( ( y = $true )
=> ( y = $true ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ( y
=> y ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $o] :
( y
=> y ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
? [X0: $o] :
( y
=> y ),
file('/export/starexec/sandbox/tmp/tmp.liRrEqaOvh/DTF2THF_32556.p',cCT17) ).
tff(f8,plain,
y != $true,
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO185^5 : 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
% 0.12/0.30 % Computer : n021.cluster.edu
% 0.12/0.30 % Model : x86_64 x86_64
% 0.12/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.30 % Memory : 8042.1875MB
% 0.12/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.30 % CPULimit : 300
% 0.12/0.30 % WCLimit : 300
% 0.12/0.30 % DateTime : Tue Feb 24 14:25:39 EST 2026
% 0.12/0.30 % CPUTime :
% 0.12/0.30 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.16/0.40 ---- Original DTF file ---
% 0.16/0.40 thf(spec,logic,$$dhol).
% 0.16/0.40 %------------------------------------------------------------------------------
% 0.16/0.40 % File : SYO185^5 : TPTP v9.2.1. Released v4.0.0.
% 0.16/0.40 % Domain : Syntactic
% 0.16/0.40 % Problem : TPS problem CT17
% 0.16/0.40 % Version : Especial.
% 0.16/0.40 % English :
% 0.16/0.40
% 0.16/0.40 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.40 % Source : [Bro09]
% 0.16/0.40 % Names : tps_0007 [Bro09]
% 0.16/0.40 % : CT17 [TPS]
% 0.16/0.40
% 0.16/0.40 % Status : Theorem
% 0.16/0.40 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.16/0.40 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.16/0.40 % Number of atoms : 2 ( 0 equ; 0 cnn)
% 0.16/0.40 % Maximal formula atoms : 2 ( 2 avg)
% 0.16/0.40 % Number of connectives : 1 ( 0 ~; 0 |; 0 &; 0 @)
% 0.16/0.40 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.16/0.40 % Maximal formula depth : 3 ( 3 avg)
% 0.16/0.40 % Number of types : 1 ( 0 usr)
% 0.16/0.40 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.16/0.40 % Number of symbols : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.16/0.40 % Number of variables : 1 ( 0 ^; 0 !; 1 ?; 1 :)
% 0.16/0.40 % SPC : TH0_THM_NEQ_NAR
% 0.16/0.40
% 0.16/0.40 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.40 % project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.40 % Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.40 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.16/0.40 %------------------------------------------------------------------------------
% 0.16/0.40 thf(y,type,
% 0.16/0.40 y: $o ).
% 0.16/0.40
% 0.16/0.40 thf(cCT17,conjecture,
% 0.16/0.40 ? [Xx: $o] :
% 0.16/0.40 ( y
% 0.16/0.40 => y ) ).
% 0.16/0.40
% 0.16/0.40 %------------------------------------------------------------------------------
% 0.16/0.40 ------------------------
% 1.53/1.32 ---- Embedded in THF ---
% 1.53/1.32 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.53/1.32 %%% Generated on Tue Feb 24 14:25:39 EST 2026
% 1.53/1.32 %%% using '$$dhol' embedding, version 1.3.0.
% 1.53/1.32 %%% Logic specification used:
% 1.53/1.32 %%% thf(spec, logic, $$dhol).
% 1.53/1.32
% 1.53/1.32 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.liRrEqaOvh/DTF2DTF32556.p
% See solution above
% 1.53/1.32 ------------------------
% 1.53/1.33 ---- Cleaned THF ---
% 1.53/1.33 thf(y,type,
% 1.53/1.33 y: $o ).
% 1.53/1.33
% 1.53/1.33 thf(cCT17,conjecture,
% 1.53/1.33 ? [Xx: $o] :
% 1.53/1.33 ( y
% 1.53/1.33 => y ) ).
% 1.53/1.33 ------------------------
% 1.53/1.35 % (32655)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_32556 for (3000ds/27Mi)
% 1.53/1.35 % (32657)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_32556 for (3000ds/2Mi)
% 1.53/1.35 % (32656)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_32556 for (3000ds/2Mi)
% 1.53/1.35 % (32658)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_32556 for (3000ds/275Mi)
% 1.53/1.35 % (32654)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_32556 for (3000ds/4Mi)
% 1.53/1.35 % (32653)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_32556 for (3000ds/183Mi)
% 1.53/1.35 % (32659)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_32556 for (3000ds/18Mi)
% 1.53/1.35 % (32653)First to succeed.
% 1.53/1.35 % (32654)Also succeeded, but the first one will report.
% 1.53/1.35 % (32655)Also succeeded, but the first one will report.
% 1.53/1.35 % (32653)Refutation found. Thanks to Tanya!
% 1.53/1.35 % SZS status Theorem for DTF2THF_32556
% 1.53/1.35 % SZS output start Proof for DTF2THF_32556
% 1.53/1.35 tff(f11,plain,(
% 1.53/1.35 $false),
% 1.53/1.35 inference(trivial_inequality_removal,[status(thm)],[f10])).
% 1.53/1.35 tff(f10,plain,(
% 1.53/1.35 ($true != $true)),
% 1.53/1.35 inference(definition_unfolding,[status(thm)],[f8,f9])).
% 1.53/1.35 tff(f9,plain,(
% 1.53/1.35 (y = $true)),
% 1.53/1.35 inference(cnf_transformation,[status(thm)],[f7])).
% 1.53/1.35 tff(f7,plain,(
% 1.53/1.35 (y = $true) & (y != $true)),
% 1.53/1.35 inference(ennf_transformation,[status(thm)],[f6])).
% 1.53/1.35 tff(f6,plain,(
% 1.53/1.35 ~((y = $true) => (y = $true))),
% 1.53/1.35 inference(fool_elimination,[status(thm)],[f5])).
% 1.53/1.35 tff(f5,plain,(
% 1.53/1.35 ~(y => y)),
% 1.53/1.35 inference(rectify,[status(thm)],[f2])).
% 1.53/1.35 tff(f2,negated_conjecture,(
% 1.53/1.35 ~? [X0 : $o] : (y => y)),
% 1.53/1.35 inference(negated_conjecture,[status(cth)],[f1])).
% 1.53/1.35 tff(f1,conjecture,(
% 1.53/1.35 ? [X0 : $o] : (y => y)),
% 1.53/1.35 file('/export/starexec/sandbox/tmp/tmp.liRrEqaOvh/DTF2THF_32556.p',cCT17)).
% 1.53/1.35 tff(f8,plain,(
% 1.53/1.35 (y != $true)),
% 1.53/1.35 inference(cnf_transformation,[status(thm)],[f7])).
% 1.53/1.35 % SZS output end Proof for DTF2THF_32556
% 1.53/1.35 % (32653)------------------------------
% 1.53/1.35 % (32653)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.35 % (32653)Termination reason: Refutation
% 1.53/1.35
% 1.53/1.35 % (32653)Memory used [KB]: 5373
% 1.53/1.35 % (32653)Time elapsed: 0.003 s
% 1.53/1.35 % (32653)Instructions burned: 1 (million)
% 1.53/1.35 % (32653)------------------------------
% 1.53/1.35 % (32653)------------------------------
% 1.53/1.35 % (32652)Success in time 0.012 s
%------------------------------------------------------------------------------