%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO204^5 : 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 : n024.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 09:53:39 AM UTC 2026
% Result : Theorem 1.52s 1.36s
% Output : Refutation 1.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 32 ( 14 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 19 ( 9 ~; 0 |; 4 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 37 ( 17 fml; 20 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 : 19 ( 10 !; 9 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_2,type,
sK0: $o > $o ).
tff(f13,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f11,f12]) ).
tff(f12,plain,
! [X0: $o] : ( $true = (X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
tff(f10,plain,
! [X0: $o] :
( ( $true = (X0) )
& ( $true != sK0((X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9]) ).
tff(f9,plain,
! [X0: $o] :
( ? [X1: $o] :
( ( $true = (X0) )
& ( $true != (X1) ) )
=> ( ( $true = (X0) )
& ( $true != sK0((X0)) ) ) ),
introduced(definition,[],[choice_axiom]) ).
tff(f8,plain,
! [X0: $o] :
? [X1: $o] :
( ( $true = (X0) )
& ( $true != (X1) ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
tff(f7,plain,
~ ? [X0: $o] :
! [X1: $o] :
( ( $true = (X0) )
=> ( $true = (X1) ) ),
inference(rectify,[status(thm)],[f6]) ).
tff(f6,plain,
~ ? [X0: $o] :
! [X2: $o] :
( ( $true = (X0) )
=> ( $true = (X2) ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ? [X0: $o] :
! [X2: $o] :
( (X0)
=> (X2) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ? [X1: $o,X0: $o] :
! [X2: $o] :
( (X1)
=> (X2) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
? [X1: $o,X0: $o] :
! [X2: $o] :
( (X1)
=> (X2) ),
file('/export/starexec/sandbox/tmp/tmp.IKlTkVJUB0/DTF2THF_6284.p',cCT313) ).
tff(f11,plain,
! [X0: $o] : ( $true != sK0((X0)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO204^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.30 % Computer : n024.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Feb 24 09:26:55 EST 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.40 ---- Original DTF file ---
% 0.17/0.40 thf(spec,logic,$$dhol).
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 % File : SYO204^5 : TPTP v9.2.1. Released v4.0.0.
% 0.17/0.40 % Domain : Syntactic
% 0.17/0.40 % Problem : TPS problem CT313
% 0.17/0.40 % Version : Especial.
% 0.17/0.40 % English :
% 0.17/0.40
% 0.17/0.40 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.17/0.40 % Source : [Bro09]
% 0.17/0.40 % Names : tps_0169 [Bro09]
% 0.17/0.40 % : CT313 [TPS]
% 0.17/0.40
% 0.17/0.40 % Status : Theorem
% 0.17/0.40 % Rating : 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.17/0.40 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.17/0.40 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.17/0.40 % Maximal formula atoms : 0 ( 0 avg)
% 0.17/0.40 % Number of connectives : 1 ( 0 ~; 0 |; 0 &; 0 @)
% 0.17/0.40 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.17/0.40 % Maximal formula depth : 5 ( 5 avg)
% 0.17/0.40 % Number of types : 1 ( 0 usr)
% 0.17/0.40 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.17/0.40 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.17/0.40 % Number of variables : 3 ( 0 ^; 1 !; 2 ?; 3 :)
% 0.17/0.40 % SPC : TH0_THM_NEQ_NAR
% 0.17/0.40
% 0.17/0.40 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.17/0.40 % project in the Department of Mathematical Sciences at Carnegie
% 0.17/0.40 % Mellon University. Distributed under the Creative Commons copyleft
% 0.17/0.40 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 thf(cCT313,conjecture,
% 0.17/0.40 ? [Xz: $o,Xx: $o] :
% 0.17/0.40 ! [Xy: $o] :
% 0.17/0.40 ( Xx
% 0.17/0.40 => Xy ) ).
% 0.17/0.40
% 0.17/0.40 %------------------------------------------------------------------------------
% 0.17/0.40 ------------------------
% 1.52/1.33 ---- Embedded in THF ---
% 1.52/1.33 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.52/1.33 %%% Generated on Tue Feb 24 09:26:56 EST 2026
% 1.52/1.33 %%% using '$$dhol' embedding, version 1.3.0.
% 1.52/1.33 %%% Logic specification used:
% 1.52/1.33 %%% thf(spec, logic, $$dhol).
% 1.52/1.33
% 1.52/1.33 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.IKlTkVJUB0/DTF2DTF6284.p
% See solution above
% 1.52/1.33 ------------------------
% 1.52/1.34 ---- Cleaned THF ---
% 1.52/1.34 thf(cCT313,conjecture,
% 1.52/1.34 ? [Xz: $o,Xx: $o] :
% 1.52/1.34 ! [Xy: $o] :
% 1.52/1.34 ( Xx
% 1.52/1.34 => Xy ) ).
% 1.52/1.34 ------------------------
% 1.52/1.36 % (6387)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_6284 for (3000ds/275Mi)
% 1.52/1.36 % (6386)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_6284 for (3000ds/2Mi)
% 1.52/1.36 % (6382)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_6284 for (3000ds/183Mi)
% 1.52/1.36 % (6384)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_6284 for (3000ds/27Mi)
% 1.52/1.36 % (6385)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_6284 for (3000ds/2Mi)
% 1.52/1.36 % (6388)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_6284 for (3000ds/18Mi)
% 1.52/1.36 % (6383)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_6284 for (3000ds/4Mi)
% 1.52/1.36 % (6388)First to succeed.
% 1.52/1.36 % (6382)Also succeeded, but the first one will report.
% 1.52/1.36 % (6383)Also succeeded, but the first one will report.
% 1.52/1.36 % (6388)Refutation found. Thanks to Tanya!
% 1.52/1.36 % SZS status Theorem for DTF2THF_6284
% 1.52/1.36 % SZS output start Proof for DTF2THF_6284
% 1.52/1.36 tff(func_def_2, type, sK0: ($o) > $o).
% 1.52/1.36 tff(f13,plain,(
% 1.52/1.36 $false),
% 1.52/1.36 inference(subsumption_resolution,[status(thm)],[f11,f12])).
% 1.52/1.36 tff(f12,plain,(
% 1.52/1.36 ( ! [X0 : $o] : (($true = X0)) )),
% 1.52/1.36 inference(cnf_transformation,[status(thm)],[f10])).
% 1.52/1.36 tff(f10,plain,(
% 1.52/1.36 ! [X0 : $o] : (($true = X0) & ($true != sK0(X0)))),
% 1.52/1.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f8,f9])).
% 1.52/1.36 tff(f9,plain,(
% 1.52/1.36 ! [X0 : $o] : (? [X1 : $o] : (($true = X0) & ($true != X1)) => (($true = X0) & ($true != sK0(X0))))),
% 1.52/1.36 introduced(definition,[],[choice_axiom])).
% 1.52/1.36 tff(f8,plain,(
% 1.52/1.36 ! [X0 : $o] : ? [X1 : $o] : (($true = X0) & ($true != X1))),
% 1.52/1.36 inference(ennf_transformation,[status(thm)],[f7])).
% 1.52/1.36 tff(f7,plain,(
% 1.52/1.36 ~? [X0 : $o] : ! [X1 : $o] : (($true = X0) => ($true = X1))),
% 1.52/1.36 inference(rectify,[status(thm)],[f6])).
% 1.52/1.36 tff(f6,plain,(
% 1.52/1.36 ~? [X0 : $o] : ! [X2 : $o] : (($true = X0) => ($true = X2))),
% 1.52/1.36 inference(fool_elimination,[status(thm)],[f5])).
% 1.52/1.36 tff(f5,plain,(
% 1.52/1.36 ~? [X0 : $o] : ! [X2 : $o] : (X0 => X2)),
% 1.52/1.36 inference(rectify,[status(thm)],[f2])).
% 1.52/1.36 tff(f2,negated_conjecture,(
% 1.52/1.36 ~? [X1 : $o,X0 : $o] : ! [X2 : $o] : (X1 => X2)),
% 1.52/1.36 inference(negated_conjecture,[status(cth)],[f1])).
% 1.52/1.36 tff(f1,conjecture,(
% 1.52/1.36 ? [X1 : $o,X0 : $o] : ! [X2 : $o] : (X1 => X2)),
% 1.52/1.36 file('/export/starexec/sandbox/tmp/tmp.IKlTkVJUB0/DTF2THF_6284.p',cCT313)).
% 1.52/1.36 tff(f11,plain,(
% 1.52/1.36 ( ! [X0 : $o] : (($true != sK0(X0))) )),
% 1.52/1.36 inference(cnf_transformation,[status(thm)],[f10])).
% 1.52/1.36 % SZS output end Proof for DTF2THF_6284
% 1.52/1.36 % (6388)------------------------------
% 1.52/1.36 % (6388)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.52/1.36 % (6388)Termination reason: Refutation
% 1.52/1.36
% 1.52/1.36 % (6388)Memory used [KB]: 5373
% 1.52/1.36 % (6388)Time elapsed: 0.003 s
% 1.52/1.36 % (6388)Instructions burned: 1 (million)
% 1.52/1.36 % (6388)------------------------------
% 1.52/1.36 % (6388)------------------------------
% 1.52/1.36 % (6381)Success in time 0.018 s
%------------------------------------------------------------------------------