%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO183^6 : TPTP v9.2.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n027.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 09:53:36 AM UTC 2026
% Result : Theorem 1.47s 1.28s
% Output : Refutation 1.47s
% 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 : 23 ( 8 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 21 ( 10 ~; 0 |; 0 &; 10 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 1 ^; 9 !; 6 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_6,type,
ph2:
!>[X0: $tType] : X0 ).
thf(f18,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f17]) ).
thf(f17,plain,
$true != $true,
inference(beta_eta_normalization,[status(thm)],[f11]) ).
thf(f11,plain,
( ( ^ [Y0: $o] : $true
@ sK0 )
!= $true ),
inference(primitive_instantiation,[status(thm)],[f9]) ).
thf(f9,plain,
! [X1: $o > $o] :
( $true
!= ( X1 @ sK0 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
! [X1: $o > $o] :
( $true
!= ( X1 @ sK0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
thf(f7,plain,
( ? [X0: $o] :
! [X1: $o > $o] :
( ( X1 @ X0 )
!= $true )
=> ! [X1: $o > $o] :
( $true
!= ( X1 @ sK0 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f6,plain,
? [X0: $o] :
! [X1: $o > $o] :
( ( X1 @ X0 )
!= $true ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X0: $o] :
? [X1: $o > $o] :
( ( X1 @ X0 )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: $o] :
? [X1: $o > $o] : ( X1 @ X0 ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: $o] :
? [X1: $o > $o] : ( X1 @ X0 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: $o] :
? [X1: $o > $o] : ( X1 @ X0 ),
file('/export/starexec/sandbox/tmp/tmp.OXkC0ddUuS/DTF2THF_21658.p',cTHM123) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO183^6 : TPTP v9.2.1. Released v5.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.33 % Computer : n027.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue Feb 24 14:25:52 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
% 0.29/0.45 ---- Original DTF file ---
% 0.29/0.45 thf(spec,logic,$$dhol).
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 % File : SYO183^6 : TPTP v9.2.1. Released v5.1.0.
% 0.29/0.45 % Domain : Syntactic
% 0.29/0.45 % Problem : TPS problem THM123
% 0.29/0.45 % Version : Especial.
% 0.29/0.45 % English : Trivial theorem to test TPS.
% 0.29/0.45
% 0.29/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.29/0.45 % Source : [Bro09]
% 0.29/0.45 % Names : tps_0013 [Bro09]
% 0.29/0.45 % : THM123 [TPS]
% 0.29/0.45
% 0.29/0.45 % Status : Theorem
% 0.29/0.45 % Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v6.2.0, 0.33 v6.1.0, 0.00 v5.1.0
% 0.29/0.45 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.29/0.45 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.29/0.45 % Maximal formula atoms : 0 ( 0 avg)
% 0.29/0.45 % Number of connectives : 1 ( 0 ~; 0 |; 0 &; 1 @)
% 0.29/0.45 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.29/0.45 % Maximal formula depth : 4 ( 4 avg)
% 0.29/0.45 % Number of types : 1 ( 0 usr)
% 0.29/0.45 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.29/0.45 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.29/0.45 % Number of variables : 2 ( 0 ^; 1 !; 1 ?; 2 :)
% 0.29/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.29/0.45
% 0.29/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.29/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.29/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.29/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.29/0.45 % : Renamed from SYO251^5
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 thf(cTHM123,conjecture,
% 0.29/0.45 ! [Xp: $o] :
% 0.29/0.45 ? [Xf: $o > $o] : ( Xf @ Xp ) ).
% 0.29/0.45
% 0.29/0.45 %------------------------------------------------------------------------------
% 0.29/0.45 ------------------------
% 1.47/1.25 ---- Embedded in THF ---
% 1.47/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.47/1.25 %%% Generated on Tue Feb 24 14:25:53 EST 2026
% 1.47/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.47/1.25 %%% Logic specification used:
% 1.47/1.25 %%% thf(spec, logic, $$dhol).
% 1.47/1.25
% 1.47/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.OXkC0ddUuS/DTF2DTF21658.p
% See solution above
% 1.47/1.25 ------------------------
% 1.47/1.26 ---- Cleaned THF ---
% 1.47/1.26 thf(cTHM123,conjecture,
% 1.47/1.26 ! [Xp: $o] :
% 1.47/1.26 ? [Xf: $o > $o] : ( Xf @ Xp ) ).
% 1.47/1.26 ------------------------
% 1.47/1.27 % (21942)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_21658 for (3000ds/2Mi)
% 1.47/1.27 % (21941)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_21658 for (3000ds/27Mi)
% 1.47/1.28 % (21942)First to succeed.
% 1.47/1.28 % (21941)Refutation not found, incomplete strategy
% 1.47/1.28 % (21941)------------------------------
% 1.47/1.28 % (21941)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (21941)Termination reason: Refutation not found, incomplete strategy
% 1.47/1.28
% 1.47/1.28
% 1.47/1.28 % (21941)Memory used [KB]: 5373
% 1.47/1.28 % (21941)Time elapsed: 0.001 s
% 1.47/1.28 % (21941)------------------------------
% 1.47/1.28 % (21941)------------------------------
% 1.47/1.28 % (21942)Refutation found. Thanks to Tanya!
% 1.47/1.28 % SZS status Theorem for DTF2THF_21658
% 1.47/1.28 % SZS output start Proof for DTF2THF_21658
% 1.47/1.28 thf(func_def_6, type, ph2: !>[X0: $tType]:(X0)).
% 1.47/1.28 thf(f18,plain,(
% 1.47/1.28 $false),
% 1.47/1.28 inference(trivial_inequality_removal,[status(thm)],[f17])).
% 1.47/1.28 thf(f17,plain,(
% 1.47/1.28 ($true != $true)),
% 1.47/1.28 inference(beta_eta_normalization,[status(thm)],[f11])).
% 1.47/1.28 thf(f11,plain,(
% 1.47/1.28 (((^[Y0 : $o]: ($true)) @ sK0) != $true)),
% 1.47/1.28 inference(primitive_instantiation,[status(thm)],[f9])).
% 1.47/1.28 thf(f9,plain,(
% 1.47/1.28 ( ! [X1 : $o > $o] : (($true != (X1 @ sK0))) )),
% 1.47/1.28 inference(cnf_transformation,[status(thm)],[f8])).
% 1.47/1.28 thf(f8,plain,(
% 1.47/1.28 ! [X1 : $o > $o] : ($true != (X1 @ sK0))),
% 1.47/1.28 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7])).
% 1.47/1.28 thf(f7,plain,(
% 1.47/1.28 ? [X0 : $o] : ! [X1 : $o > $o] : ((X1 @ X0) != $true) => ! [X1 : $o > $o] : ($true != (X1 @ sK0))),
% 1.47/1.28 introduced(definition,[],[choice_axiom])).
% 1.47/1.28 thf(f6,plain,(
% 1.47/1.28 ? [X0 : $o] : ! [X1 : $o > $o] : ((X1 @ X0) != $true)),
% 1.47/1.28 inference(ennf_transformation,[status(thm)],[f5])).
% 1.47/1.28 thf(f5,plain,(
% 1.47/1.28 ~! [X0 : $o] : ? [X1 : $o > $o] : ((X1 @ X0) = $true)),
% 1.47/1.28 inference(fool_elimination,[status(thm)],[f4])).
% 1.47/1.28 thf(f4,plain,(
% 1.47/1.28 ~! [X0 : $o] : ? [X1 : $o > $o] : (X1 @ X0)),
% 1.47/1.28 inference(rectify,[status(thm)],[f2])).
% 1.47/1.28 thf(f2,negated_conjecture,(
% 1.47/1.28 ~! [X0 : $o] : ? [X1 : $o > $o] : (X1 @ X0)),
% 1.47/1.28 inference(negated_conjecture,[status(cth)],[f1])).
% 1.47/1.28 thf(f1,conjecture,(
% 1.47/1.28 ! [X0 : $o] : ? [X1 : $o > $o] : (X1 @ X0)),
% 1.47/1.28 file('/export/starexec/sandbox/tmp/tmp.OXkC0ddUuS/DTF2THF_21658.p',cTHM123)).
% 1.47/1.28 % SZS output end Proof for DTF2THF_21658
% 1.47/1.28 % (21942)------------------------------
% 1.47/1.28 % (21942)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.28 % (21942)Termination reason: Refutation
% 1.47/1.28
% 1.47/1.28 % (21942)Memory used [KB]: 5373
% 1.47/1.28 % (21942)Time elapsed: 0.002 s
% 1.47/1.28 % (21942)Instructions burned: 1 (million)
% 1.47/1.28 % (21942)------------------------------
% 1.47/1.28 % (21942)------------------------------
% 1.47/1.28 % (21938)Success in time 0.011 s
%------------------------------------------------------------------------------