%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO196^5 : 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 : n010.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 1.46s 1.28s
% Output : Refutation 1.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 6 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 43 ( 14 ~; 0 |; 6 &; 18 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 1 usr; 3 con; 0-2 aty)
% ( 5 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 16 ( 6 ^; 6 !; 4 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_9,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f14,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f13]) ).
thf(f13,plain,
$true != $true,
inference(beta_eta_normalization,[status(thm)],[f10]) ).
thf(f10,plain,
( ( ^ [Y0: $o] : $true
@ ( !! @ $o
@ ^ [Y0: $o] : $false ) )
!= $true ),
inference(primitive_instantiation,[status(thm)],[f8]) ).
thf(f8,plain,
! [X0: $o > $o] :
( $true
!= ( X0
@ ( !! @ $o
@ ^ [Y0: $o] : $false ) ) ),
inference(boolean_simplification,[status(thm)],[f7]) ).
thf(f7,plain,
! [X0: $o > $o] :
( ( X0
@ ( !! @ $o
@ ^ [Y0: $o] :
( ~ Y0
& Y0 ) ) )
!= $true ),
inference(cnf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
! [X0: $o > $o] :
( ( X0
@ ( !! @ $o
@ ^ [Y0: $o] :
( ~ Y0
& Y0 ) ) )
!= $true ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ? [X0: $o > $o] :
( ( X0
@ ( !! @ $o
@ ^ [Y0: $o] :
( ~ Y0
& Y0 ) ) )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ? [X0: $o > $o] :
( X0
@ ! [X1: $o] :
( X1
& ~ X1 ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: $o > $o] :
( X0
@ ! [X1: $o] :
( X1
& ~ X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X0: $o > $o] :
( X0
@ ! [X1: $o] :
( X1
& ~ X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.nevk0kxlg0/DTF2THF_23665.p',cCT21) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO196^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n010.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 14:26:03 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.29/0.46 ---- Original DTF file ---
% 0.29/0.46 thf(spec,logic,$$dhol).
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 % File : SYO196^5 : TPTP v9.2.1. Released v4.0.0.
% 0.29/0.46 % Domain : Syntactic
% 0.29/0.46 % Problem : TPS problem CT21
% 0.29/0.46 % Version : Especial.
% 0.29/0.46 % English :
% 0.29/0.46
% 0.29/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.29/0.46 % Source : [Bro09]
% 0.29/0.46 % Names : tps_0028 [Bro09]
% 0.29/0.46 % : CT21 [TPS]
% 0.29/0.46
% 0.29/0.46 % Status : Theorem
% 0.29/0.46 % Rating : 0.08 v9.1.0, 0.00 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.08 v7.4.0, 0.00 v6.2.0, 0.33 v6.1.0, 0.00 v4.0.0
% 0.29/0.46 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.29/0.46 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.29/0.46 % Maximal formula atoms : 0 ( 0 avg)
% 0.29/0.46 % Number of connectives : 3 ( 1 ~; 0 |; 1 &; 1 @)
% 0.29/0.46 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.29/0.46 % Maximal formula depth : 6 ( 6 avg)
% 0.29/0.46 % Number of types : 1 ( 0 usr)
% 0.29/0.46 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.29/0.46 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.29/0.46 % Number of variables : 2 ( 0 ^; 1 !; 1 ?; 2 :)
% 0.29/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.29/0.46
% 0.29/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.29/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.29/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.29/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 thf(cCT21,conjecture,
% 0.29/0.46 ? [Xp: $o > $o] :
% 0.29/0.46 ( Xp
% 0.29/0.46 @ ! [Xy: $o] :
% 0.29/0.46 ( Xy
% 0.29/0.46 & ~ Xy ) ) ).
% 0.29/0.46
% 0.29/0.46 %------------------------------------------------------------------------------
% 0.29/0.46 ------------------------
% 1.46/1.26 ---- Embedded in THF ---
% 1.46/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.46/1.26 %%% Generated on Tue Feb 24 14:26:04 EST 2026
% 1.46/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.46/1.26 %%% Logic specification used:
% 1.46/1.26 %%% thf(spec, logic, $$dhol).
% 1.46/1.26
% 1.46/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.nevk0kxlg0/DTF2DTF23665.p
% See solution above
% 1.46/1.26 ------------------------
% 1.46/1.27 ---- Cleaned THF ---
% 1.46/1.27 thf(cCT21,conjecture,
% 1.46/1.27 ? [Xp: $o > $o] :
% 1.46/1.27 ( Xp
% 1.46/1.27 @ ! [Xy: $o] :
% 1.46/1.27 ( Xy
% 1.46/1.27 & ~ Xy ) ) ).
% 1.46/1.27 ------------------------
% 1.46/1.28 % (23943)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_23665 for (2999ds/275Mi)
% 1.46/1.28 % (23941)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_23665 for (2999ds/2Mi)
% 1.46/1.28 % (23943)First to succeed.
% 1.46/1.28 % (23941)Also succeeded, but the first one will report.
% 1.46/1.28 % (23943)Refutation found. Thanks to Tanya!
% 1.46/1.28 % SZS status Theorem for DTF2THF_23665
% 1.46/1.28 % SZS output start Proof for DTF2THF_23665
% 1.46/1.28 thf(func_def_9, type, ph1: !>[X0: $tType]:(X0)).
% 1.46/1.28 thf(f14,plain,(
% 1.46/1.28 $false),
% 1.46/1.28 inference(trivial_inequality_removal,[status(thm)],[f13])).
% 1.46/1.28 thf(f13,plain,(
% 1.46/1.28 ($true != $true)),
% 1.46/1.28 inference(beta_eta_normalization,[status(thm)],[f10])).
% 1.46/1.28 thf(f10,plain,(
% 1.46/1.28 (((^[Y0 : $o]: ($true)) @ (!! @ $o @ (^[Y0 : $o]: ($false)))) != $true)),
% 1.46/1.28 inference(primitive_instantiation,[status(thm)],[f8])).
% 1.46/1.28 thf(f8,plain,(
% 1.46/1.28 ( ! [X0 : $o > $o] : (($true != (X0 @ (!! @ $o @ (^[Y0 : $o]: ($false)))))) )),
% 1.46/1.28 inference(boolean_simplification,[status(thm)],[f7])).
% 1.46/1.28 thf(f7,plain,(
% 1.46/1.28 ( ! [X0 : $o > $o] : (((X0 @ (!! @ $o @ (^[Y0 : $o]: ((~ Y0) & Y0)))) != $true)) )),
% 1.46/1.28 inference(cnf_transformation,[status(thm)],[f6])).
% 1.46/1.28 thf(f6,plain,(
% 1.46/1.28 ! [X0 : $o > $o] : ((X0 @ (!! @ $o @ (^[Y0 : $o]: ((~ Y0) & Y0)))) != $true)),
% 1.46/1.28 inference(ennf_transformation,[status(thm)],[f5])).
% 1.46/1.28 thf(f5,plain,(
% 1.46/1.28 ~? [X0 : $o > $o] : ((X0 @ (!! @ $o @ (^[Y0 : $o]: ((~ Y0) & Y0)))) = $true)),
% 1.46/1.28 inference(fool_elimination,[status(thm)],[f4])).
% 1.46/1.28 thf(f4,plain,(
% 1.46/1.28 ~? [X0 : $o > $o] : (X0 @ ! [X1 : $o] : (X1 & ~X1))),
% 1.46/1.28 inference(rectify,[status(thm)],[f2])).
% 1.46/1.28 thf(f2,negated_conjecture,(
% 1.46/1.28 ~? [X0 : $o > $o] : (X0 @ ! [X1 : $o] : (X1 & ~X1))),
% 1.46/1.28 inference(negated_conjecture,[status(cth)],[f1])).
% 1.46/1.28 thf(f1,conjecture,(
% 1.46/1.28 ? [X0 : $o > $o] : (X0 @ ! [X1 : $o] : (X1 & ~X1))),
% 1.46/1.28 file('/export/starexec/sandbox2/tmp/tmp.nevk0kxlg0/DTF2THF_23665.p',cCT21)).
% 1.46/1.28 % SZS output end Proof for DTF2THF_23665
% 1.46/1.28 % (23943)------------------------------
% 1.46/1.28 % (23943)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.46/1.28 % (23943)Termination reason: Refutation
% 1.46/1.28
% 1.46/1.28 % (23943)Memory used [KB]: 5373
% 1.46/1.28 % (23943)Time elapsed: 0.002 s
% 1.46/1.28 % (23943)Instructions burned: 1 (million)
% 1.46/1.28 % (23943)------------------------------
% 1.46/1.28 % (23943)------------------------------
% 1.46/1.28 % (23937)Success in time 0.012 s
%------------------------------------------------------------------------------