%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO188^5 : 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 : n026.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 1.49s 1.28s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 25 ( 10 ~; 0 |; 0 &; 14 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 2 ^; 8 !; 6 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_3,type,
sK0: ( ( $o > $o ) > $o ) > $o > $o ).
thf(func_def_5,type,
ph2:
!>[X0: $tType] : X0 ).
thf(f17,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f16]) ).
thf(f16,plain,
$true != $true,
inference(beta_eta_normalization,[status(thm)],[f10]) ).
thf(f10,plain,
( $true
!= ( ^ [Y0: $o > $o] : $true
@ ( sK0
@ ^ [Y0: $o > $o] : $true ) ) ),
inference(primitive_instantiation,[status(thm)],[f9]) ).
thf(f9,plain,
! [X0: ( $o > $o ) > $o] :
( $true
!= ( X0 @ ( sK0 @ X0 ) ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
! [X0: ( $o > $o ) > $o] :
( $true
!= ( X0 @ ( sK0 @ X0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
thf(f7,plain,
! [X0: ( $o > $o ) > $o] :
( ? [X1: $o > $o] :
( ( X0 @ X1 )
!= $true )
=> ( $true
!= ( X0 @ ( sK0 @ X0 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f6,plain,
! [X0: ( $o > $o ) > $o] :
? [X1: $o > $o] :
( ( X0 @ X1 )
!= $true ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ? [X0: ( $o > $o ) > $o] :
! [X1: $o > $o] :
( ( X0 @ X1 )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ? [X0: ( $o > $o ) > $o] :
! [X1: $o > $o] : ( X0 @ X1 ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: ( $o > $o ) > $o] :
! [X1: $o > $o] : ( X0 @ X1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X0: ( $o > $o ) > $o] :
! [X1: $o > $o] : ( X0 @ X1 ),
file('/export/starexec/sandbox2/tmp/tmp.nzYasFCh3P/DTF2THF_16496.p',cCT19) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO188^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.33 % Computer : n026.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 14:25:55 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.19/0.44 ---- Original DTF file ---
% 0.19/0.44 thf(spec,logic,$$dhol).
% 0.19/0.44 %------------------------------------------------------------------------------
% 0.19/0.44 % File : SYO188^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.44 % Domain : Syntactic
% 0.19/0.44 % Problem : TPS problem CT19
% 0.19/0.44 % Version : Especial.
% 0.19/0.44 % English :
% 0.19/0.44
% 0.19/0.44 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.44 % Source : [Bro09]
% 0.19/0.44 % Names : tps_0012 [Bro09]
% 0.19/0.44 % : CT19 [TPS]
% 0.19/0.44
% 0.19/0.44 % Status : Theorem
% 0.19/0.44 % Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v7.3.0, 0.10 v7.2.0, 0.00 v6.2.0, 0.33 v6.1.0, 0.00 v4.0.0
% 0.19/0.44 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.19/0.44 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.19/0.44 % Maximal formula atoms : 0 ( 0 avg)
% 0.19/0.44 % Number of connectives : 1 ( 0 ~; 0 |; 0 &; 1 @)
% 0.19/0.44 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.19/0.44 % Maximal formula depth : 4 ( 4 avg)
% 0.19/0.44 % Number of types : 1 ( 0 usr)
% 0.19/0.44 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.19/0.44 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.19/0.44 % Number of variables : 2 ( 0 ^; 1 !; 1 ?; 2 :)
% 0.19/0.44 % SPC : TH0_THM_NEQ_NAR
% 0.19/0.44
% 0.19/0.44 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.44 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.44 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.44 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.44 %------------------------------------------------------------------------------
% 0.19/0.44 thf(cCT19,conjecture,
% 0.19/0.44 ? [Xq: ( $o > $o ) > $o] :
% 0.19/0.44 ! [Xp: $o > $o] : ( Xq @ Xp ) ).
% 0.19/0.44
% 0.19/0.44 %------------------------------------------------------------------------------
% 0.19/0.45 ------------------------
% 1.49/1.25 ---- Embedded in THF ---
% 1.49/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.25 %%% Generated on Tue Feb 24 14:25:56 EST 2026
% 1.49/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.25 %%% Logic specification used:
% 1.49/1.25 %%% thf(spec, logic, $$dhol).
% 1.49/1.25
% 1.49/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.nzYasFCh3P/DTF2DTF16496.p
% See solution above
% 1.49/1.25 ------------------------
% 1.49/1.26 ---- Cleaned THF ---
% 1.49/1.26 thf(cCT19,conjecture,
% 1.49/1.26 ? [Xq: ( $o > $o ) > $o] :
% 1.49/1.26 ! [Xp: $o > $o] : ( Xq @ Xp ) ).
% 1.49/1.26 ------------------------
% 1.49/1.28 % (16710)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_16496 for (3000ds/275Mi)
% 1.49/1.28 % (16710)First to succeed.
% 1.49/1.28 % (16710)Refutation found. Thanks to Tanya!
% 1.49/1.28 % SZS status Theorem for DTF2THF_16496
% 1.49/1.28 % SZS output start Proof for DTF2THF_16496
% 1.49/1.28 thf(func_def_3, type, sK0: (($o > $o) > $o) > $o > $o).
% 1.49/1.28 thf(func_def_5, type, ph2: !>[X0: $tType]:(X0)).
% 1.49/1.28 thf(f17,plain,(
% 1.49/1.28 $false),
% 1.49/1.28 inference(trivial_inequality_removal,[status(thm)],[f16])).
% 1.49/1.28 thf(f16,plain,(
% 1.49/1.28 ($true != $true)),
% 1.49/1.28 inference(beta_eta_normalization,[status(thm)],[f10])).
% 1.49/1.28 thf(f10,plain,(
% 1.49/1.28 ($true != ((^[Y0 : $o > $o]: ($true)) @ (sK0 @ (^[Y0 : $o > $o]: ($true)))))),
% 1.49/1.28 inference(primitive_instantiation,[status(thm)],[f9])).
% 1.49/1.28 thf(f9,plain,(
% 1.49/1.28 ( ! [X0 : ($o > $o) > $o] : (($true != (X0 @ (sK0 @ X0)))) )),
% 1.49/1.28 inference(cnf_transformation,[status(thm)],[f8])).
% 1.49/1.28 thf(f8,plain,(
% 1.49/1.28 ! [X0 : ($o > $o) > $o] : ($true != (X0 @ (sK0 @ X0)))),
% 1.49/1.28 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7])).
% 1.49/1.28 thf(f7,plain,(
% 1.49/1.28 ! [X0 : ($o > $o) > $o] : (? [X1 : $o > $o] : ((X0 @ X1) != $true) => ($true != (X0 @ (sK0 @ X0))))),
% 1.49/1.28 introduced(definition,[],[choice_axiom])).
% 1.49/1.28 thf(f6,plain,(
% 1.49/1.28 ! [X0 : ($o > $o) > $o] : ? [X1 : $o > $o] : ((X0 @ X1) != $true)),
% 1.49/1.28 inference(ennf_transformation,[status(thm)],[f5])).
% 1.49/1.28 thf(f5,plain,(
% 1.49/1.28 ~? [X0 : ($o > $o) > $o] : ! [X1 : $o > $o] : ((X0 @ X1) = $true)),
% 1.49/1.28 inference(fool_elimination,[status(thm)],[f4])).
% 1.49/1.28 thf(f4,plain,(
% 1.49/1.28 ~? [X0 : ($o > $o) > $o] : ! [X1 : $o > $o] : (X0 @ X1)),
% 1.49/1.28 inference(rectify,[status(thm)],[f2])).
% 1.49/1.28 thf(f2,negated_conjecture,(
% 1.49/1.28 ~? [X0 : ($o > $o) > $o] : ! [X1 : $o > $o] : (X0 @ X1)),
% 1.49/1.28 inference(negated_conjecture,[status(cth)],[f1])).
% 1.49/1.28 thf(f1,conjecture,(
% 1.49/1.28 ? [X0 : ($o > $o) > $o] : ! [X1 : $o > $o] : (X0 @ X1)),
% 1.49/1.28 file('/export/starexec/sandbox2/tmp/tmp.nzYasFCh3P/DTF2THF_16496.p',cCT19)).
% 1.49/1.28 % SZS output end Proof for DTF2THF_16496
% 1.49/1.28 % (16710)------------------------------
% 1.49/1.28 % (16710)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.28 % (16710)Termination reason: Refutation
% 1.49/1.28
% 1.49/1.28 % (16710)Memory used [KB]: 5373
% 1.49/1.28 % (16710)Time elapsed: 0.002 s
% 1.49/1.28 % (16710)Instructions burned: 1 (million)
% 1.49/1.28 % (16710)------------------------------
% 1.49/1.28 % (16710)------------------------------
% 1.49/1.28 % (16704)Success in time 0.011 s
%------------------------------------------------------------------------------