%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO189^5 : 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 : n028.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 1.17s 1.07s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 10 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 12 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 17 ( 8 ~; 0 |; 4 &)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 32 ( 15 fml; 17 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 1 usr; 2 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 14 ( 8 !; 6 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o > $o ).
tff(f12,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f3,f11]) ).
tff(f11,plain,
! [X0: $o] : ( $true = (X0) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f9,plain,
! [X0: $o] :
( ( $true = (X0) )
& ( sK0((X0)) != $true ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8]) ).
tff(f8,plain,
! [X0: $o] :
( ? [X1: $o] :
( ( $true = (X0) )
& ( $true != (X1) ) )
=> ( ( $true = (X0) )
& ( sK0((X0)) != $true ) ) ),
introduced(definition,[],[choice_axiom]) ).
tff(f7,plain,
! [X0: $o] :
? [X1: $o] :
( ( $true = (X0) )
& ( $true != (X1) ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
~ ? [X0: $o] :
! [X1: $o] :
( ( $true = (X0) )
=> ( $true = (X1) ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ? [X0: $o] :
! [X1: $o] :
( (X0)
=> (X1) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X0: $o] :
! [X1: $o] :
( (X0)
=> (X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
? [X0: $o] :
! [X1: $o] :
( (X0)
=> (X1) ),
file('/export/starexec/sandbox2/tmp/tmp.ZaBJrSyScA/DTF2THF_17326.p',cCT5) ).
tff(f3,plain,
$false != $true,
introduced(definition,[],[fool_axiom]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO189^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Feb 24 14:25:57 EST 2026
% 0.12/0.32 % CPUTime :
% 0.12/0.32 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.43 ---- Original DTF file ---
% 0.15/0.43 thf(spec,logic,$$dhol).
% 0.15/0.43 %------------------------------------------------------------------------------
% 0.15/0.43 % File : SYO189^5 : TPTP v9.2.1. Released v4.0.0.
% 0.15/0.43 % Domain : Syntactic
% 0.15/0.43 % Problem : TPS problem CT5
% 0.15/0.43 % Version : Especial.
% 0.15/0.43 % English :
% 0.15/0.43
% 0.15/0.43 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.15/0.43 % Source : [Bro09]
% 0.15/0.43 % Names : tps_0014 [Bro09]
% 0.15/0.43 % : CT5 [TPS]
% 0.15/0.43
% 0.15/0.43 % Status : Theorem
% 0.15/0.43 % Rating : 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.15/0.43 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.15/0.43 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.15/0.43 % Maximal formula atoms : 0 ( 0 avg)
% 0.15/0.43 % Number of connectives : 1 ( 0 ~; 0 |; 0 &; 0 @)
% 0.15/0.43 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.15/0.43 % Maximal formula depth : 4 ( 4 avg)
% 0.15/0.43 % Number of types : 1 ( 0 usr)
% 0.15/0.43 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.15/0.43 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.15/0.43 % Number of variables : 2 ( 0 ^; 1 !; 1 ?; 2 :)
% 0.15/0.43 % SPC : TH0_THM_NEQ_NAR
% 0.15/0.43
% 0.15/0.43 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.15/0.43 % project in the Department of Mathematical Sciences at Carnegie
% 0.15/0.43 % Mellon University. Distributed under the Creative Commons copyleft
% 0.15/0.43 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.15/0.43 %------------------------------------------------------------------------------
% 0.15/0.43 thf(cCT5,conjecture,
% 0.15/0.43 ? [Xx: $o] :
% 0.15/0.43 ! [Xy: $o] :
% 0.15/0.43 ( Xx
% 0.15/0.43 => Xy ) ).
% 0.15/0.43
% 0.15/0.43 %------------------------------------------------------------------------------
% 0.15/0.43 ------------------------
% 1.17/1.04 ---- Embedded in THF ---
% 1.17/1.04 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.17/1.04 %%% Generated on Tue Feb 24 14:25:57 EST 2026
% 1.17/1.04 %%% using '$$dhol' embedding, version 1.3.0.
% 1.17/1.04 %%% Logic specification used:
% 1.17/1.04 %%% thf(spec, logic, $$dhol).
% 1.17/1.04
% 1.17/1.04 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.ZaBJrSyScA/DTF2DTF17326.p
% See solution above
% 1.17/1.04 ------------------------
% 1.17/1.05 ---- Cleaned THF ---
% 1.17/1.05 thf(cCT5,conjecture,
% 1.17/1.05 ? [Xx: $o] :
% 1.17/1.05 ! [Xy: $o] :
% 1.17/1.05 ( Xx
% 1.17/1.05 => Xy ) ).
% 1.17/1.05 ------------------------
% 1.17/1.06 % (17425)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_17326 for (3000ds/183Mi)
% 1.17/1.06 % (17425)First to succeed.
% 1.17/1.07 % (17425)Refutation found. Thanks to Tanya!
% 1.17/1.07 % SZS status Theorem for DTF2THF_17326
% 1.17/1.07 % SZS output start Proof for DTF2THF_17326
% 1.17/1.07 tff(func_def_2, type, sK0: ($o) > $o).
% 1.17/1.07 tff(f12,plain,(
% 1.17/1.07 $false),
% 1.17/1.07 inference(subsumption_resolution,[status(thm)],[f3,f11])).
% 1.17/1.07 tff(f11,plain,(
% 1.17/1.07 ( ! [X0 : $o] : (($true = X0)) )),
% 1.17/1.07 inference(cnf_transformation,[status(thm)],[f9])).
% 1.17/1.07 tff(f9,plain,(
% 1.17/1.07 ! [X0 : $o] : (($true = X0) & (sK0(X0) != $true))),
% 1.17/1.07 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])).
% 1.17/1.07 tff(f8,plain,(
% 1.17/1.07 ! [X0 : $o] : (? [X1 : $o] : (($true = X0) & ($true != X1)) => (($true = X0) & (sK0(X0) != $true)))),
% 1.17/1.07 introduced(definition,[],[choice_axiom])).
% 1.17/1.07 tff(f7,plain,(
% 1.17/1.07 ! [X0 : $o] : ? [X1 : $o] : (($true = X0) & ($true != X1))),
% 1.17/1.07 inference(ennf_transformation,[status(thm)],[f6])).
% 1.17/1.07 tff(f6,plain,(
% 1.17/1.07 ~? [X0 : $o] : ! [X1 : $o] : (($true = X0) => ($true = X1))),
% 1.17/1.07 inference(fool_elimination,[status(thm)],[f5])).
% 1.17/1.07 tff(f5,plain,(
% 1.17/1.07 ~? [X0 : $o] : ! [X1 : $o] : (X0 => X1)),
% 1.17/1.07 inference(rectify,[status(thm)],[f2])).
% 1.17/1.07 tff(f2,negated_conjecture,(
% 1.17/1.07 ~? [X0 : $o] : ! [X1 : $o] : (X0 => X1)),
% 1.17/1.07 inference(negated_conjecture,[status(cth)],[f1])).
% 1.17/1.07 tff(f1,conjecture,(
% 1.17/1.07 ? [X0 : $o] : ! [X1 : $o] : (X0 => X1)),
% 1.17/1.07 file('/export/starexec/sandbox2/tmp/tmp.ZaBJrSyScA/DTF2THF_17326.p',cCT5)).
% 1.17/1.07 tff(f3,plain,(
% 1.17/1.07 ($false != $true)),
% 1.17/1.07 introduced(definition,[],[fool_axiom])).
% 1.17/1.07 % SZS output end Proof for DTF2THF_17326
% 1.17/1.07 % (17425)------------------------------
% 1.17/1.07 % (17425)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.17/1.07 % (17425)Termination reason: Refutation
% 1.17/1.07
% 1.17/1.07 % (17425)Memory used [KB]: 5373
% 1.17/1.07 % (17425)Time elapsed: 0.002 s
% 1.17/1.07 % (17425)Instructions burned: 1 (million)
% 1.17/1.07 % (17425)------------------------------
% 1.17/1.07 % (17425)------------------------------
% 1.17/1.07 % (17424)Success in time 0.011 s
%------------------------------------------------------------------------------