%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO120^5 : 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 : n019.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 09:53:25 AM UTC 2026
% Result : Theorem 1.51s 1.20s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 12 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 35 ( 8 ~; 0 |; 4 &; 18 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 4 !; 2 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cA: $i > $o ).
thf(f11,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f10,f9]) ).
thf(f9,plain,
( $true
= ( cA @ sK0 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
thf(f8,plain,
( ( $true
!= ( cA @ sK0 ) )
& ( $true
= ( cA @ sK0 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7]) ).
thf(f7,plain,
( ? [X0: $i] :
( ( ( cA @ X0 )
!= $true )
& ( ( cA @ X0 )
= $true ) )
=> ( ( $true
!= ( cA @ sK0 ) )
& ( $true
= ( cA @ sK0 ) ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f6,plain,
? [X0: $i] :
( ( ( cA @ X0 )
!= $true )
& ( ( cA @ X0 )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ! [X0: $i] :
( ( ( cA @ X0 )
= $true )
=> ( ( cA @ X0 )
= $true ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ! [X0: $i] :
( ( cA @ X0 )
=> ( cA @ X0 ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: $i] :
( ( cA @ X0 )
=> ( cA @ X0 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: $i] :
( ( cA @ X0 )
=> ( cA @ X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.PG2YN6rd4F/DTF2THF_15275.p',cSET80_pme) ).
thf(f10,plain,
( $true
!= ( cA @ sK0 ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO120^5 : 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
% 0.15/0.34 % Computer : n019.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Tue Feb 24 14:24:39 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.30/0.45 ---- Original DTF file ---
% 0.30/0.45 thf(spec,logic,$$dhol).
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 % File : SYO120^5 : TPTP v9.2.1. Released v4.0.0.
% 0.30/0.45 % Domain : Syntactic
% 0.30/0.45 % Problem : TPS problem from BASIC-FO-THMS
% 0.30/0.45 % Version : Especial.
% 0.30/0.45 % English :
% 0.30/0.45
% 0.30/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.30/0.45 % Source : [Bro09]
% 0.30/0.45 % Names : tps_0619 [Bro09]
% 0.30/0.45
% 0.30/0.45 % Status : Theorem
% 0.30/0.45 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.30/0.45 % Syntax : Number of formulae : 2 ( 0 unt; 1 typ; 0 def)
% 0.30/0.45 % Number of atoms : 2 ( 0 equ; 0 cnn)
% 0.30/0.45 % Maximal formula atoms : 2 ( 2 avg)
% 0.30/0.45 % Number of connectives : 3 ( 0 ~; 0 |; 0 &; 2 @)
% 0.30/0.45 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.30/0.45 % Maximal formula depth : 4 ( 4 avg)
% 0.30/0.45 % Number of types : 2 ( 0 usr)
% 0.30/0.45 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.30/0.45 % Number of symbols : 1 ( 1 usr; 0 con; 1-1 aty)
% 0.30/0.45 % Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 0.30/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.30/0.45
% 0.30/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.30/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.30/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.30/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 thf(cA,type,
% 0.30/0.45 cA: $i > $o ).
% 0.30/0.45
% 0.30/0.45 thf(cSET80_pme,conjecture,
% 0.30/0.45 ! [Z3: $i] :
% 0.30/0.45 ( ( cA @ Z3 )
% 0.30/0.45 => ( cA @ Z3 ) ) ).
% 0.30/0.45
% 0.30/0.45 %------------------------------------------------------------------------------
% 0.30/0.45 ------------------------
% 1.39/1.17 ---- Embedded in THF ---
% 1.39/1.17 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.39/1.17 %%% Generated on Tue Feb 24 14:24:40 EST 2026
% 1.39/1.17 %%% using '$$dhol' embedding, version 1.3.0.
% 1.39/1.17 %%% Logic specification used:
% 1.39/1.17 %%% thf(spec, logic, $$dhol).
% 1.39/1.17
% 1.39/1.17 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.PG2YN6rd4F/DTF2DTF15275.p
% See solution above
% 1.39/1.17 ------------------------
% 1.39/1.18 ---- Cleaned THF ---
% 1.39/1.19 thf(cA,type,
% 1.39/1.19 cA: $i > $o ).
% 1.39/1.19
% 1.39/1.19 thf(cSET80_pme,conjecture,
% 1.39/1.19 ! [Z3: $i] :
% 1.39/1.19 ( ( cA @ Z3 )
% 1.39/1.19 => ( cA @ Z3 ) ) ).
% 1.39/1.19 ------------------------
% 1.51/1.20 % (15482)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_15275 for (2999ds/275Mi)
% 1.51/1.20 % (15480)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_15275 for (2999ds/2Mi)
% 1.51/1.20 % (15482)First to succeed.
% 1.51/1.20 % (15480)Also succeeded, but the first one will report.
% 1.51/1.20 % (15482)Refutation found. Thanks to Tanya!
% 1.51/1.20 % SZS status Theorem for DTF2THF_15275
% 1.51/1.20 % SZS output start Proof for DTF2THF_15275
% 1.51/1.20 thf(func_def_0, type, cA: $i > $o).
% 1.51/1.20 thf(f11,plain,(
% 1.51/1.20 $false),
% 1.51/1.20 inference(subsumption_resolution,[status(thm)],[f10,f9])).
% 1.51/1.20 thf(f9,plain,(
% 1.51/1.20 ($true = (cA @ sK0))),
% 1.51/1.20 inference(cnf_transformation,[status(thm)],[f8])).
% 1.51/1.20 thf(f8,plain,(
% 1.51/1.20 ($true != (cA @ sK0)) & ($true = (cA @ sK0))),
% 1.51/1.20 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f6,f7])).
% 1.51/1.20 thf(f7,plain,(
% 1.51/1.20 ? [X0 : $i] : (((cA @ X0) != $true) & ((cA @ X0) = $true)) => (($true != (cA @ sK0)) & ($true = (cA @ sK0)))),
% 1.51/1.20 introduced(definition,[],[choice_axiom])).
% 1.51/1.20 thf(f6,plain,(
% 1.51/1.20 ? [X0 : $i] : (((cA @ X0) != $true) & ((cA @ X0) = $true))),
% 1.51/1.20 inference(ennf_transformation,[status(thm)],[f5])).
% 1.51/1.20 thf(f5,plain,(
% 1.51/1.20 ~! [X0 : $i] : (((cA @ X0) = $true) => ((cA @ X0) = $true))),
% 1.51/1.20 inference(fool_elimination,[status(thm)],[f4])).
% 1.51/1.20 thf(f4,plain,(
% 1.51/1.20 ~! [X0 : $i] : ((cA @ X0) => (cA @ X0))),
% 1.51/1.20 inference(rectify,[status(thm)],[f2])).
% 1.51/1.20 thf(f2,negated_conjecture,(
% 1.51/1.20 ~! [X0 : $i] : ((cA @ X0) => (cA @ X0))),
% 1.51/1.20 inference(negated_conjecture,[status(cth)],[f1])).
% 1.51/1.20 thf(f1,conjecture,(
% 1.51/1.20 ! [X0 : $i] : ((cA @ X0) => (cA @ X0))),
% 1.51/1.20 file('/export/starexec/sandbox2/tmp/tmp.PG2YN6rd4F/DTF2THF_15275.p',cSET80_pme)).
% 1.51/1.20 thf(f10,plain,(
% 1.51/1.20 ($true != (cA @ sK0))),
% 1.51/1.20 inference(cnf_transformation,[status(thm)],[f8])).
% 1.51/1.20 % SZS output end Proof for DTF2THF_15275
% 1.51/1.20 % (15482)------------------------------
% 1.51/1.20 % (15482)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.51/1.20 % (15482)Termination reason: Refutation
% 1.51/1.20
% 1.51/1.20 % (15482)Memory used [KB]: 5373
% 1.51/1.20 % (15482)Time elapsed: 0.002 s
% 1.51/1.20 % (15482)Instructions burned: 1 (million)
% 1.51/1.20 % (15482)------------------------------
% 1.51/1.20 % (15482)------------------------------
% 1.51/1.20 % (15476)Success in time 0.012 s
%------------------------------------------------------------------------------