%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO183^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n016.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 1.61s 1.36s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 5 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 14 ( 7 ~; 0 |; 0 &; 7 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 1 ^; 2 !; 4 ?; 7 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_5,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f16,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f15]) ).
thf(f15,plain,
$true != $true,
inference(beta_eta_normalization,[status(thm)],[f9]) ).
thf(f9,plain,
( ( ^ [Y0: $o] : $true
@ a )
!= $true ),
inference(primitive_instantiation,[status(thm)],[f7]) ).
thf(f7,plain,
! [X0: $o > $o] :
( ( X0 @ a )
!= $true ),
inference(cnf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
! [X0: $o > $o] :
( ( X0 @ a )
!= $true ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ? [X0: $o > $o] :
( ( X0 @ a )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ? [X0: $o > $o] : ( X0 @ a ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: $o > $o] : ( X0 @ a ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X0: $o > $o] : ( X0 @ a ),
file('/export/starexec/sandbox/tmp/tmp.cluCcqlv9G/DTF2THF_3283.p',cCT2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO183^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n016.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 14:26:06 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
% 0.20/0.46 ---- Original DTF file ---
% 0.20/0.46 thf(spec,logic,$$dhol).
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 % File : SYO183^5 : TPTP v9.2.1. Released v4.0.0.
% 0.20/0.46 % Domain : Syntactic
% 0.20/0.46 % Problem : TPS problem CT2
% 0.20/0.46 % Version : Especial.
% 0.20/0.46 % English :
% 0.20/0.46
% 0.20/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.20/0.46 % Source : [Bro09]
% 0.20/0.46 % Names : tps_0003 [Bro09]
% 0.20/0.46 % : CT2 [TPS]
% 0.20/0.46
% 0.20/0.46 % Status : Theorem
% 0.20/0.46 % Rating : 0.00 v8.1.0, 0.08 v7.4.0, 0.00 v6.2.0, 0.33 v6.1.0, 0.00 v4.0.0
% 0.20/0.46 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.20/0.46 % Number of atoms : 1 ( 0 equ; 0 cnn)
% 0.20/0.46 % Maximal formula atoms : 1 ( 1 avg)
% 0.20/0.46 % Number of connectives : 1 ( 0 ~; 0 |; 0 &; 1 @)
% 0.20/0.46 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.20/0.46 % Maximal formula depth : 3 ( 3 avg)
% 0.20/0.46 % Number of types : 1 ( 0 usr)
% 0.20/0.46 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.20/0.46 % Number of symbols : 1 ( 1 usr; 1 con; 0-0 aty)
% 0.20/0.46 % Number of variables : 1 ( 0 ^; 0 !; 1 ?; 1 :)
% 0.20/0.46 % SPC : TH0_THM_NEQ_NAR
% 0.20/0.46
% 0.20/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.20/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.20/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.20/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 thf(a,type,
% 0.20/0.46 a: $o ).
% 0.20/0.46
% 0.20/0.46 thf(cCT2,conjecture,
% 0.20/0.46 ? [Xp: $o > $o] : ( Xp @ a ) ).
% 0.20/0.46
% 0.20/0.46 %------------------------------------------------------------------------------
% 0.20/0.46 ------------------------
% 1.61/1.33 ---- Embedded in THF ---
% 1.61/1.34 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.61/1.34 %%% Generated on Tue Feb 24 14:26:07 EST 2026
% 1.61/1.34 %%% using '$$dhol' embedding, version 1.3.0.
% 1.61/1.34 %%% Logic specification used:
% 1.61/1.34 %%% thf(spec, logic, $$dhol).
% 1.61/1.34
% 1.61/1.34 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.cluCcqlv9G/DTF2DTF3283.p
% See solution above
% 1.61/1.34 ------------------------
% 1.61/1.35 ---- Cleaned THF ---
% 1.61/1.35 thf(a,type,
% 1.61/1.35 a: $o ).
% 1.61/1.35
% 1.61/1.35 thf(cCT2,conjecture,
% 1.61/1.35 ? [Xp: $o > $o] : ( Xp @ a ) ).
% 1.61/1.35 ------------------------
% 1.61/1.36 % (3492)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_3283 for (3000ds/275Mi)
% 1.61/1.36 % (3493)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_3283 for (3000ds/18Mi)
% 1.61/1.36 % (3492)First to succeed.
% 1.61/1.36 % (3493)Also succeeded, but the first one will report.
% 1.61/1.36 % (3492)Refutation found. Thanks to Tanya!
% 1.61/1.36 % SZS status Theorem for DTF2THF_3283
% 1.61/1.36 % SZS output start Proof for DTF2THF_3283
% 1.61/1.36 thf(func_def_5, type, ph1: !>[X0: $tType]:(X0)).
% 1.61/1.36 thf(f16,plain,(
% 1.61/1.36 $false),
% 1.61/1.36 inference(trivial_inequality_removal,[status(thm)],[f15])).
% 1.61/1.36 thf(f15,plain,(
% 1.61/1.36 ($true != $true)),
% 1.61/1.36 inference(beta_eta_normalization,[status(thm)],[f9])).
% 1.61/1.36 thf(f9,plain,(
% 1.61/1.36 (((^[Y0 : $o]: ($true)) @ a) != $true)),
% 1.61/1.36 inference(primitive_instantiation,[status(thm)],[f7])).
% 1.61/1.36 thf(f7,plain,(
% 1.61/1.36 ( ! [X0 : $o > $o] : (((X0 @ a) != $true)) )),
% 1.61/1.36 inference(cnf_transformation,[status(thm)],[f6])).
% 1.61/1.36 thf(f6,plain,(
% 1.61/1.36 ! [X0 : $o > $o] : ((X0 @ a) != $true)),
% 1.61/1.36 inference(ennf_transformation,[status(thm)],[f5])).
% 1.61/1.36 thf(f5,plain,(
% 1.61/1.36 ~? [X0 : $o > $o] : ((X0 @ a) = $true)),
% 1.61/1.36 inference(fool_elimination,[status(thm)],[f4])).
% 1.61/1.36 thf(f4,plain,(
% 1.61/1.36 ~? [X0 : $o > $o] : (X0 @ a)),
% 1.61/1.36 inference(rectify,[status(thm)],[f2])).
% 1.61/1.36 thf(f2,negated_conjecture,(
% 1.61/1.36 ~? [X0 : $o > $o] : (X0 @ a)),
% 1.61/1.36 inference(negated_conjecture,[status(cth)],[f1])).
% 1.61/1.36 thf(f1,conjecture,(
% 1.61/1.36 ? [X0 : $o > $o] : (X0 @ a)),
% 1.61/1.36 file('/export/starexec/sandbox/tmp/tmp.cluCcqlv9G/DTF2THF_3283.p',cCT2)).
% 1.61/1.36 % SZS output end Proof for DTF2THF_3283
% 1.61/1.36 % (3492)------------------------------
% 1.61/1.36 % (3492)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.61/1.36 % (3492)Termination reason: Refutation
% 1.61/1.36
% 1.61/1.36 % (3492)Memory used [KB]: 5373
% 1.61/1.36 % (3492)Time elapsed: 0.003 s
% 1.61/1.36 % (3492)Instructions burned: 1 (million)
% 1.61/1.36 % (3492)------------------------------
% 1.61/1.36 % (3492)------------------------------
% 1.61/1.36 % (3486)Success in time 0.012 s
%------------------------------------------------------------------------------