%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO027^1 : TPTP v9.2.1. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n004.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 09:53:10 AM UTC 2026
% Result : Theorem 1.47s 1.29s
% Output : Refutation 1.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 7 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 7 ( 3 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 9 ( 3 fml; 6 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 0 usr; 2 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 6 ( 2 !; 4 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(f9,plain,
$false,
inference(equality_resolution,[status(thm)],[f8]) ).
tff(f8,plain,
! [X0: $o] : ( $true != (X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
tff(f7,plain,
! [X0: $o] : ( $true != (X0) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
~ ? [X0: $o] : ( $true = (X0) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ? [X0: $o] : (X0),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $o] : (X0),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
? [X0: $o] : (X0),
file('/export/starexec/sandbox/tmp/tmp.CILTRM31wc/DTF2THF_869.p',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO027^1 : TPTP v9.2.1. Released v3.7.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.34 % Computer : n004.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 14:21:26 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.28/0.46 ---- Original DTF file ---
% 0.28/0.46 thf(spec,logic,$$dhol).
% 0.28/0.46 %------------------------------------------------------------------------------
% 0.28/0.46 % File : SYO027^1 : TPTP v9.2.1. Released v3.7.0.
% 0.28/0.46 % Domain : Syntactic
% 0.28/0.46 % Problem : Something is true
% 0.28/0.46 % Version : Especial.
% 0.28/0.46 % English :
% 0.28/0.46
% 0.28/0.46 % Refs : [BB05] Benzmueller & Brown (2005), A Structured Set of Higher
% 0.28/0.46 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.28/0.46 % Source : [Ben09]
% 0.28/0.46 % Names : Example 23 [BB05]
% 0.28/0.46 % : CT1 [TPS]
% 0.28/0.46
% 0.28/0.46 % Status : Theorem
% 0.28/0.46 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v3.7.0
% 0.28/0.46 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.28/0.46 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.28/0.46 % Maximal formula atoms : 0 ( 0 avg)
% 0.28/0.46 % Number of connectives : 0 ( 0 ~; 0 |; 0 &; 0 @)
% 0.28/0.46 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.28/0.46 % Maximal formula depth : 2 ( 2 avg)
% 0.28/0.46 % Number of types : 1 ( 0 usr)
% 0.28/0.46 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.28/0.46 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.28/0.46 % Number of variables : 1 ( 0 ^; 0 !; 1 ?; 1 :)
% 0.28/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.28/0.46
% 0.28/0.46 % Comments : Requires set comprehension
% 0.28/0.46 %------------------------------------------------------------------------------
% 0.28/0.46 thf(conj,conjecture,
% 0.28/0.46 ? [P: $o] : P ).
% 0.28/0.46
% 0.28/0.46 %------------------------------------------------------------------------------
% 0.28/0.46 ------------------------
% 1.47/1.26 ---- Embedded in THF ---
% 1.47/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.47/1.26 %%% Generated on Tue Feb 24 14:21:27 EST 2026
% 1.47/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.47/1.26 %%% Logic specification used:
% 1.47/1.26 %%% thf(spec, logic, $$dhol).
% 1.47/1.26
% 1.47/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.CILTRM31wc/DTF2DTF869.p
% See solution above
% 1.47/1.26 ------------------------
% 1.47/1.27 ---- Cleaned THF ---
% 1.47/1.27 thf(conj,conjecture,
% 1.47/1.27 ? [P: $o] : P ).
% 1.47/1.27 ------------------------
% 1.47/1.29 % (1211)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_869 for (3000ds/2Mi)
% 1.47/1.29 % (1211)First to succeed.
% 1.47/1.29 % (1212)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_869 for (3000ds/2Mi)
% 1.47/1.29 % (1212)Also succeeded, but the first one will report.
% 1.47/1.29 % (1211)Refutation found. Thanks to Tanya!
% 1.47/1.29 % SZS status Theorem for DTF2THF_869
% 1.47/1.29 % SZS output start Proof for DTF2THF_869
% 1.47/1.29 tff(f9,plain,(
% 1.47/1.29 $false),
% 1.47/1.29 inference(equality_resolution,[status(thm)],[f8])).
% 1.47/1.29 tff(f8,plain,(
% 1.47/1.29 ( ! [X0 : $o] : (($true != X0)) )),
% 1.47/1.29 inference(cnf_transformation,[status(thm)],[f7])).
% 1.47/1.29 tff(f7,plain,(
% 1.47/1.29 ! [X0 : $o] : ($true != X0)),
% 1.47/1.29 inference(ennf_transformation,[status(thm)],[f6])).
% 1.47/1.29 tff(f6,plain,(
% 1.47/1.29 ~? [X0 : $o] : ($true = X0)),
% 1.47/1.29 inference(fool_elimination,[status(thm)],[f5])).
% 1.47/1.29 tff(f5,plain,(
% 1.47/1.29 ~? [X0 : $o] : X0),
% 1.47/1.29 inference(rectify,[status(thm)],[f2])).
% 1.47/1.29 tff(f2,negated_conjecture,(
% 1.47/1.29 ~? [X0 : $o] : X0),
% 1.47/1.29 inference(negated_conjecture,[status(cth)],[f1])).
% 1.47/1.29 tff(f1,conjecture,(
% 1.47/1.29 ? [X0 : $o] : X0),
% 1.47/1.29 file('/export/starexec/sandbox/tmp/tmp.CILTRM31wc/DTF2THF_869.p',conj)).
% 1.47/1.29 % SZS output end Proof for DTF2THF_869
% 1.47/1.29 % (1211)------------------------------
% 1.47/1.29 % (1211)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.47/1.29 % (1211)Termination reason: Refutation
% 1.47/1.29
% 1.47/1.29 % (1211)Memory used [KB]: 5373
% 1.47/1.29 % (1211)Time elapsed: 0.002 s
% 1.47/1.29 % (1211)Instructions burned: 1 (million)
% 1.47/1.29 % (1211)------------------------------
% 1.47/1.29 % (1211)------------------------------
% 1.47/1.29 % (1207)Success in time 0.011 s
%------------------------------------------------------------------------------