%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV383^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n003.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 09:41:08 AM UTC 2026
% Result : Theorem 1.03s 1.00s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 6 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 17 ( 9 ~; 0 |; 0 &; 8 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 1 ^; 2 !; 5 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_5,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f14,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f13]) ).
thf(f13,plain,
$false = $true,
inference(beta_eta_normalization,[status(thm)],[f10]) ).
thf(f10,plain,
( $true
= ( ^ [Y0: $i] : $false
@ a ) ),
inference(primitive_instantiation,[status(thm)],[f8]) ).
thf(f8,plain,
! [X0: $i > $o] :
( ( X0 @ a )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
! [X0: $i > $o] :
( ( X0 @ a )
= $true ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ? [X0: $i > $o] :
( ( X0 @ a )
!= $true ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
~ ? [X0: $i > $o] :
( ( X0 @ a )
!= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ? [X0: $i > $o] :
~ ( X0 @ a ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: $i > $o] :
~ ( X0 @ a ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X0: $i > $o] :
~ ( X0 @ a ),
file('/export/starexec/sandbox2/tmp/tmp.qnnDaH7Fk3/DTF2THF_11026.p',cBLEDSOE_FENG_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEV383^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n003.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Feb 24 12:45:40 EST 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.37 ---- Original DTF file ---
% 0.18/0.37 thf(spec,logic,$$dhol).
% 0.18/0.37 %------------------------------------------------------------------------------
% 0.18/0.37 % File : SEV383^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.37 % Domain : Set Theory
% 0.18/0.37 % Problem : TPS problem BLEDSOE-FENG-7
% 0.18/0.37 % Version : Especial.
% 0.18/0.37 % English : There is some set that doesn't contain a given object a - so the
% 0.18/0.37 % empty set works.
% 0.18/0.37
% 0.18/0.37 % Refs : [BF93] Bledsoe & Feng (1993), SET-VAR
% 0.18/0.37 % : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.37 % Source : [Bro09]
% 0.18/0.37 % Names : tps_0011 [Bro09]
% 0.18/0.37 % : BLEDSOE-FENG-7 [TPS]
% 0.18/0.37 % : Example 7 [BF93]
% 0.18/0.37
% 0.18/0.37 % Status : Theorem
% 0.18/0.37 % Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v6.2.0, 0.33 v6.1.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.18/0.37 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.18/0.37 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.18/0.37 % Maximal formula atoms : 0 ( 0 avg)
% 0.18/0.37 % Number of connectives : 2 ( 1 ~; 0 |; 0 &; 1 @)
% 0.18/0.37 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.18/0.37 % Maximal formula depth : 4 ( 4 avg)
% 0.18/0.37 % Number of types : 2 ( 0 usr)
% 0.18/0.37 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.18/0.37 % Number of symbols : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.18/0.37 % Number of variables : 1 ( 0 ^; 0 !; 1 ?; 1 :)
% 0.18/0.37 % SPC : TH0_THM_NEQ_NAR
% 0.18/0.37
% 0.18/0.37 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.37 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.37 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.37 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.37 %------------------------------------------------------------------------------
% 0.18/0.37 thf(a,type,
% 0.18/0.37 a: $i ).
% 0.18/0.37
% 0.18/0.37 thf(cBLEDSOE_FENG_7,conjecture,
% 0.18/0.37 ? [A: $i > $o] :
% 0.18/0.37 ~ ( A @ a ) ).
% 0.18/0.37
% 0.18/0.37 %------------------------------------------------------------------------------
% 0.18/0.37 ------------------------
% 1.03/0.98 ---- Embedded in THF ---
% 1.03/0.98 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.03/0.98 %%% Generated on Tue Feb 24 12:45:41 EST 2026
% 1.03/0.98 %%% using '$$dhol' embedding, version 1.3.0.
% 1.03/0.98 %%% Logic specification used:
% 1.03/0.98 %%% thf(spec, logic, $$dhol).
% 1.03/0.98
% 1.03/0.98 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.qnnDaH7Fk3/DTF2DTF11026.p
% See solution above
% 1.03/0.98 ------------------------
% 1.03/0.98 ---- Cleaned THF ---
% 1.03/0.98 thf(a,type,
% 1.03/0.98 a: $i ).
% 1.03/0.98
% 1.03/0.98 thf(cBLEDSOE_FENG_7,conjecture,
% 1.03/0.98 ? [A: $i > $o] :
% 1.03/0.98 ~ ( A @ a ) ).
% 1.03/0.98 ------------------------
% 1.03/1.00 % (11133)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_11026 for (3000ds/27Mi)
% 1.03/1.00 % (11136)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_11026 for (3000ds/275Mi)
% 1.03/1.00 % (11134)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_11026 for (3000ds/2Mi)
% 1.03/1.00 % (11137)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_11026 for (3000ds/18Mi)
% 1.03/1.00 % (11135)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_11026 for (3000ds/2Mi)
% 1.03/1.00 % (11132)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_11026 for (3000ds/4Mi)
% 1.03/1.00 % (11133)Refutation not found, incomplete strategy
% 1.03/1.00 % (11133)------------------------------
% 1.03/1.00 % (11133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.03/1.00 % (11136)First to succeed.
% 1.03/1.00 % (11133)Termination reason: Refutation not found, incomplete strategy
% 1.03/1.00
% 1.03/1.00
% 1.03/1.00 % (11133)Memory used [KB]: 5373
% 1.03/1.00 % (11133)Time elapsed: 0.002 s
% 1.03/1.00 % (11133)Instructions burned: 1 (million)
% 1.03/1.00 % (11133)------------------------------
% 1.03/1.00 % (11133)------------------------------
% 1.03/1.00 % (11134)Also succeeded, but the first one will report.
% 1.03/1.00 % (11136)Refutation found. Thanks to Tanya!
% 1.03/1.00 % SZS status Theorem for DTF2THF_11026
% 1.03/1.00 % SZS output start Proof for DTF2THF_11026
% 1.03/1.00 thf(func_def_5, type, ph1: !>[X0: $tType]:(X0)).
% 1.03/1.00 thf(f14,plain,(
% 1.03/1.00 $false),
% 1.03/1.00 inference(trivial_inequality_removal,[status(thm)],[f13])).
% 1.03/1.00 thf(f13,plain,(
% 1.03/1.00 ($false = $true)),
% 1.03/1.00 inference(beta_eta_normalization,[status(thm)],[f10])).
% 1.03/1.00 thf(f10,plain,(
% 1.03/1.00 ($true = ((^[Y0 : $i]: ($false)) @ a))),
% 1.03/1.00 inference(primitive_instantiation,[status(thm)],[f8])).
% 1.03/1.00 thf(f8,plain,(
% 1.03/1.00 ( ! [X0 : $i > $o] : (((X0 @ a) = $true)) )),
% 1.03/1.00 inference(cnf_transformation,[status(thm)],[f7])).
% 1.03/1.00 thf(f7,plain,(
% 1.03/1.00 ! [X0 : $i > $o] : ((X0 @ a) = $true)),
% 1.03/1.00 inference(ennf_transformation,[status(thm)],[f6])).
% 1.03/1.00 thf(f6,plain,(
% 1.03/1.00 ~? [X0 : $i > $o] : ((X0 @ a) != $true)),
% 1.03/1.00 inference(flattening,[status(thm)],[f5])).
% 1.03/1.00 thf(f5,plain,(
% 1.03/1.00 ~? [X0 : $i > $o] : ~((X0 @ a) = $true)),
% 1.03/1.00 inference(fool_elimination,[status(thm)],[f4])).
% 1.03/1.00 thf(f4,plain,(
% 1.03/1.00 ~? [X0 : $i > $o] : ~(X0 @ a)),
% 1.03/1.00 inference(rectify,[status(thm)],[f2])).
% 1.03/1.00 thf(f2,negated_conjecture,(
% 1.03/1.00 ~? [X0 : $i > $o] : ~(X0 @ a)),
% 1.03/1.00 inference(negated_conjecture,[status(cth)],[f1])).
% 1.03/1.00 thf(f1,conjecture,(
% 1.03/1.00 ? [X0 : $i > $o] : ~(X0 @ a)),
% 1.03/1.00 file('/export/starexec/sandbox2/tmp/tmp.qnnDaH7Fk3/DTF2THF_11026.p',cBLEDSOE_FENG_7)).
% 1.03/1.00 % SZS output end Proof for DTF2THF_11026
% 1.03/1.00 % (11136)------------------------------
% 1.03/1.00 % (11136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.03/1.00 % (11136)Termination reason: Refutation
% 1.03/1.00
% 1.03/1.00 % (11136)Memory used [KB]: 5373
% 1.03/1.00 % (11136)Time elapsed: 0.002 s
% 1.03/1.00 % (11136)Instructions burned: 1 (million)
% 1.03/1.00 % (11136)------------------------------
% 1.03/1.00 % (11136)------------------------------
% 1.03/1.01 % (11130)Success in time 0.015 s
%------------------------------------------------------------------------------