%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO191^5 : 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 09:53:37 AM UTC 2026
% Result : Theorem 1.66s 1.48s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 12 ( 0 fml; 12 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 8 ( 3 !; 5 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
tff(f9,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f8]) ).
tff(f8,plain,
! [X0: $o] : ( (X0) != (X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f7,plain,
! [X0: $o] : ( (X0) != (X0) ),
inference(rectify,[status(thm)],[f6]) ).
tff(f6,plain,
! [X1: $o] : ( (X1) != (X1) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
tff(f5,plain,
~ ? [X1: $o] : ( (X1) = (X1) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $o,X1: $o] : ( (X1) = (X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
? [X0: $o,X1: $o] : ( (X1) = (X1) ),
file('/export/starexec/sandbox/tmp/tmp.1x65bWuLTm/DTF2THF_1505.p',cCT14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO191^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.34 % Computer : n021.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 14:25:54 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
% 0.31/0.50 ---- Original DTF file ---
% 0.31/0.50 thf(spec,logic,$$dhol).
% 0.31/0.50 %------------------------------------------------------------------------------
% 0.31/0.50 % File : SYO191^5 : TPTP v9.2.1. Released v4.0.0.
% 0.31/0.50 % Domain : Syntactic
% 0.31/0.50 % Problem : TPS problem CT14
% 0.31/0.50 % Version : Especial.
% 0.31/0.50 % English :
% 0.31/0.50
% 0.31/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.31/0.50 % Source : [Bro09]
% 0.31/0.50 % Names : tps_0016 [Bro09]
% 0.31/0.50 % : CT14 [TPS]
% 0.31/0.50
% 0.31/0.50 % Status : Theorem
% 0.31/0.50 % Rating : 0.00 v9.0.0, 0.10 v8.2.0, 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.0
% 0.31/0.50 % Syntax : Number of formulae : 1 ( 1 unt; 0 typ; 0 def)
% 0.31/0.50 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.31/0.50 % Maximal formula atoms : 1 ( 1 avg)
% 0.31/0.50 % Number of connectives : 0 ( 0 ~; 0 |; 0 &; 0 @)
% 0.31/0.50 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.31/0.50 % Maximal formula depth : 3 ( 3 avg)
% 0.31/0.50 % Number of types : 1 ( 0 usr)
% 0.31/0.50 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.31/0.50 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.31/0.50 % Number of variables : 2 ( 0 ^; 0 !; 2 ?; 2 :)
% 0.31/0.50 % SPC : TH0_THM_EQU_NAR
% 0.31/0.50
% 0.31/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.31/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.31/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.31/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.31/0.50 %------------------------------------------------------------------------------
% 0.31/0.50 thf(cCT14,conjecture,
% 0.31/0.50 ? [Xz: $o,Xx: $o] : ( Xx = Xx ) ).
% 0.31/0.50
% 0.31/0.50 %------------------------------------------------------------------------------
% 0.31/0.50 ------------------------
% 1.66/1.45 ---- Embedded in THF ---
% 1.66/1.45 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.66/1.45 %%% Generated on Tue Feb 24 14:25:55 EST 2026
% 1.66/1.45 %%% using '$$dhol' embedding, version 1.3.0.
% 1.66/1.45 %%% Logic specification used:
% 1.66/1.45 %%% thf(spec, logic, $$dhol).
% 1.66/1.45
% 1.66/1.45 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.1x65bWuLTm/DTF2DTF1505.p
% See solution above
% 1.66/1.45 ------------------------
% 1.66/1.46 ---- Cleaned THF ---
% 1.66/1.46 thf(cCT14,conjecture,
% 1.66/1.46 ? [Xz: $o,Xx: $o] : ( Xx = Xx ) ).
% 1.66/1.46 ------------------------
% 1.66/1.48 % (1612)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_1505 for (3000ds/18Mi)
% 1.66/1.48 % (1608)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_1505 for (3000ds/27Mi)
% 1.66/1.48 % (1611)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_1505 for (3000ds/275Mi)
% 1.66/1.48 % (1610)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_1505 for (3000ds/2Mi)
% 1.66/1.48 % (1607)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_1505 for (3000ds/4Mi)
% 1.66/1.48 % (1606)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_1505 for (3000ds/183Mi)
% 1.66/1.48 % (1609)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_1505 for (3000ds/2Mi)
% 1.66/1.48 % (1612)First to succeed.
% 1.66/1.48 % (1609)Also succeeded, but the first one will report.
% 1.66/1.48 % (1606)Also succeeded, but the first one will report.
% 1.66/1.48 % (1612)Refutation found. Thanks to Tanya!
% 1.66/1.48 % SZS status Theorem for DTF2THF_1505
% 1.66/1.48 % SZS output start Proof for DTF2THF_1505
% 1.66/1.48 tff(f9,plain,(
% 1.66/1.48 $false),
% 1.66/1.48 inference(trivial_inequality_removal,[status(thm)],[f8])).
% 1.66/1.48 tff(f8,plain,(
% 1.66/1.48 ( ! [X0 : $o] : ((X0 != X0)) )),
% 1.66/1.48 inference(cnf_transformation,[status(thm)],[f7])).
% 1.66/1.48 tff(f7,plain,(
% 1.66/1.48 ! [X0 : $o] : (X0 != X0)),
% 1.66/1.48 inference(rectify,[status(thm)],[f6])).
% 1.66/1.48 tff(f6,plain,(
% 1.66/1.48 ! [X1 : $o] : (X1 != X1)),
% 1.66/1.48 inference(ennf_transformation,[status(thm)],[f5])).
% 1.66/1.48 tff(f5,plain,(
% 1.66/1.48 ~? [X1 : $o] : (X1 = X1)),
% 1.66/1.48 inference(rectify,[status(thm)],[f2])).
% 1.66/1.48 tff(f2,negated_conjecture,(
% 1.66/1.48 ~? [X0 : $o,X1 : $o] : (X1 = X1)),
% 1.66/1.48 inference(negated_conjecture,[status(cth)],[f1])).
% 1.66/1.48 tff(f1,conjecture,(
% 1.66/1.48 ? [X0 : $o,X1 : $o] : (X1 = X1)),
% 1.66/1.48 file('/export/starexec/sandbox/tmp/tmp.1x65bWuLTm/DTF2THF_1505.p',cCT14)).
% 1.66/1.48 % SZS output end Proof for DTF2THF_1505
% 1.66/1.48 % (1612)------------------------------
% 1.66/1.48 % (1612)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.66/1.48 % (1612)Termination reason: Refutation
% 1.66/1.48
% 1.66/1.48 % (1612)Memory used [KB]: 5373
% 1.66/1.48 % (1612)Time elapsed: 0.003 s
% 1.66/1.48 % (1612)------------------------------
% 1.66/1.48 % (1612)------------------------------
% 1.66/1.48 % (1605)Success in time 0.018 s
%------------------------------------------------------------------------------