%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO195^5 : 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 : n018.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 09:53:38 AM UTC 2026
% Result : Theorem 1.64s 1.45s
% Output : Refutation 1.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 9 ( 6 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 12 ( 2 fml; 10 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 10 ( 10 !; 0 ?; 10 :)
% Comments :
%------------------------------------------------------------------------------
tff(f8,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f3,f7]) ).
tff(f7,plain,
! [X0: $o,X1: $o] : ( (X0) = (X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
! [X0: $o,X1: $o] : ( (X0) = (X1) ),
inference(rectify,[status(thm)],[f5]) ).
tff(f5,plain,
! [X1: $o,X0: $o] : ( (X0) = (X1) ),
inference(flattening,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ~ ! [X1: $o,X0: $o] : ( (X0) = (X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
~ ! [X1: $o,X0: $o] : ( (X0) = (X1) ),
file('/export/starexec/sandbox/tmp/tmp.u4MmAu6Awf/DTF2THF_2286.p',cCT25) ).
tff(f3,plain,
$false != $true,
introduced(definition,[],[fool_axiom]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO195^5 : 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
% 0.17/0.34 % Computer : n018.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 14:26:01 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.28/0.49 ---- Original DTF file ---
% 0.28/0.49 thf(spec,logic,$$dhol).
% 0.28/0.49 %------------------------------------------------------------------------------
% 0.28/0.49 % File : SYO195^5 : TPTP v9.2.1. Released v4.0.0.
% 0.28/0.49 % Domain : Syntactic
% 0.28/0.49 % Problem : TPS problem CT25
% 0.28/0.49 % Version : Especial.
% 0.28/0.49 % English :
% 0.28/0.49
% 0.28/0.49 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.28/0.49 % Source : [Bro09]
% 0.28/0.49 % Names : tps_0026 [Bro09]
% 0.28/0.49 % : CT25 [TPS]
% 0.28/0.49
% 0.28/0.49 % Status : Theorem
% 0.28/0.49 % Rating : 0.11 v9.1.0, 0.12 v9.0.0, 0.30 v8.2.0, 0.15 v8.1.0, 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, 0.29 v6.1.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.0
% 0.28/0.49 % Syntax : Number of formulae : 1 ( 1 unt; 0 typ; 0 def)
% 0.28/0.49 % Number of atoms : 1 ( 1 equ; 0 cnn)
% 0.28/0.49 % Maximal formula atoms : 1 ( 1 avg)
% 0.28/0.49 % Number of connectives : 1 ( 1 ~; 0 |; 0 &; 0 @)
% 0.28/0.49 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.28/0.49 % Maximal formula depth : 4 ( 4 avg)
% 0.28/0.49 % Number of types : 1 ( 0 usr)
% 0.28/0.49 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.28/0.49 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.28/0.49 % Number of variables : 2 ( 0 ^; 2 !; 0 ?; 2 :)
% 0.28/0.49 % SPC : TH0_THM_EQU_NAR
% 0.28/0.49
% 0.28/0.49 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.28/0.49 % project in the Department of Mathematical Sciences at Carnegie
% 0.28/0.49 % Mellon University. Distributed under the Creative Commons copyleft
% 0.28/0.49 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.28/0.49 %------------------------------------------------------------------------------
% 0.28/0.49 thf(cCT25,conjecture,
% 0.28/0.49 ~ ! [Xx: $o,Xy: $o] : ( Xx = Xy ) ).
% 0.28/0.49
% 0.28/0.49 %------------------------------------------------------------------------------
% 0.28/0.49 ------------------------
% 1.64/1.42 ---- Embedded in THF ---
% 1.64/1.42 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.64/1.42 %%% Generated on Tue Feb 24 14:26:02 EST 2026
% 1.64/1.42 %%% using '$$dhol' embedding, version 1.3.0.
% 1.64/1.42 %%% Logic specification used:
% 1.64/1.42 %%% thf(spec, logic, $$dhol).
% 1.64/1.42
% 1.64/1.42 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.u4MmAu6Awf/DTF2DTF2286.p
% See solution above
% 1.64/1.42 ------------------------
% 1.64/1.43 ---- Cleaned THF ---
% 1.64/1.43 thf(cCT25,conjecture,
% 1.64/1.43 ~ ! [Xx: $o,Xy: $o] : ( Xx = Xy ) ).
% 1.64/1.43 ------------------------
% 1.64/1.45 % (2399)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_2286 for (3000ds/27Mi)
% 1.64/1.45 % (2400)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_2286 for (3000ds/2Mi)
% 1.64/1.45 % (2401)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_2286 for (3000ds/2Mi)
% 1.64/1.45 % (2397)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_2286 for (3000ds/183Mi)
% 1.64/1.45 % (2398)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_2286 for (3000ds/4Mi)
% 1.64/1.45 % (2402)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_2286 for (3000ds/275Mi)
% 1.64/1.45 % (2403)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_2286 for (3000ds/18Mi)
% 1.64/1.45 % (2402)Refutation not found, incomplete strategy
% 1.64/1.45 % (2402)------------------------------
% 1.64/1.45 % (2402)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.45 % (2397)First to succeed.
% 1.64/1.45 % (2402)Termination reason: Refutation not found, incomplete strategy
% 1.64/1.45
% 1.64/1.45
% 1.64/1.45 % (2402)Memory used [KB]: 5373
% 1.64/1.45 % (2402)Time elapsed: 0.002 s
% 1.64/1.45 % (2402)Instructions burned: 1 (million)
% 1.64/1.45 % (2402)------------------------------
% 1.64/1.45 % (2402)------------------------------
% 1.64/1.45 % (2398)Also succeeded, but the first one will report.
% 1.64/1.45 % (2399)Also succeeded, but the first one will report.
% 1.64/1.45 % (2397)Refutation found. Thanks to Tanya!
% 1.64/1.45 % SZS status Theorem for DTF2THF_2286
% 1.64/1.45 % SZS output start Proof for DTF2THF_2286
% 1.64/1.45 tff(f8,plain,(
% 1.64/1.45 $false),
% 1.64/1.45 inference(subsumption_resolution,[status(thm)],[f3,f7])).
% 1.64/1.45 tff(f7,plain,(
% 1.64/1.45 ( ! [X0 : $o,X1 : $o] : ((X0 = X1)) )),
% 1.64/1.45 inference(cnf_transformation,[status(thm)],[f6])).
% 1.64/1.45 tff(f6,plain,(
% 1.64/1.45 ! [X0 : $o,X1 : $o] : (X0 = X1)),
% 1.64/1.45 inference(rectify,[status(thm)],[f5])).
% 1.64/1.45 tff(f5,plain,(
% 1.64/1.45 ! [X1 : $o,X0 : $o] : (X0 = X1)),
% 1.64/1.45 inference(flattening,[status(thm)],[f2])).
% 1.64/1.45 tff(f2,negated_conjecture,(
% 1.64/1.45 ~~! [X1 : $o,X0 : $o] : (X0 = X1)),
% 1.64/1.45 inference(negated_conjecture,[status(cth)],[f1])).
% 1.64/1.45 tff(f1,conjecture,(
% 1.64/1.45 ~! [X1 : $o,X0 : $o] : (X0 = X1)),
% 1.64/1.45 file('/export/starexec/sandbox/tmp/tmp.u4MmAu6Awf/DTF2THF_2286.p',cCT25)).
% 1.64/1.45 tff(f3,plain,(
% 1.64/1.45 ($false != $true)),
% 1.64/1.45 introduced(definition,[],[fool_axiom])).
% 1.64/1.45 % SZS output end Proof for DTF2THF_2286
% 1.64/1.45 % (2397)------------------------------
% 1.64/1.45 % (2397)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.64/1.45 % (2397)Termination reason: Refutation
% 1.64/1.45
% 1.64/1.45 % (2397)Memory used [KB]: 5373
% 1.64/1.45 % (2397)Time elapsed: 0.002 s
% 1.64/1.45 % (2397)Instructions burned: 1 (million)
% 1.64/1.45 % (2397)------------------------------
% 1.64/1.45 % (2397)------------------------------
% 1.64/1.45 % (2396)Success in time 0.017 s
%------------------------------------------------------------------------------