%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO028^1 : 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 : n012.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 1.39s 1.27s
% Output : Refutation 1.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 8 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 10 ( 4 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 8 ( 8 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 11 ( 5 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 ( 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
tff(f8,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f3,f7]) ).
tff(f7,plain,
! [X0: $o] : ( $true = (X0) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
! [X0: $o] : ( $true = (X0) ),
inference(flattening,[status(thm)],[f5]) ).
tff(f5,plain,
~ ~ ! [X0: $o] : ( $true = (X0) ),
inference(fool_elimination,[status(thm)],[f4]) ).
tff(f4,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.SOiuQN5bEF/DTF2THF_32536.p',conj) ).
tff(f3,plain,
$false != $true,
introduced(definition,[],[fool_axiom]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYO028^1 : TPTP v9.2.1. Released v3.7.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.25 % Computer : n012.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Tue Feb 24 14:21:30 EST 2026
% 0.07/0.25 % CPUTime :
% 0.07/0.25 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/0.34 ---- Original DTF file ---
% 0.07/0.34 thf(spec,logic,$$dhol).
% 0.07/0.34 %------------------------------------------------------------------------------
% 0.07/0.34 % File : SYO028^1 : TPTP v9.2.1. Released v3.7.0.
% 0.07/0.34 % Domain : Syntactic
% 0.07/0.34 % Problem : Not all things are false
% 0.07/0.34 % Version : Especial.
% 0.07/0.34 % English :
% 0.07/0.34
% 0.07/0.34 % Refs : [BB05] Benzmueller & Brown (2005), A Structured Set of Higher
% 0.07/0.34 % : [Ben09] Benzmueller (2009), Email to Geoff Sutcliffe
% 0.07/0.34 % Source : [Ben09]
% 0.07/0.34 % Names : Example 24 [BB05]
% 0.07/0.34
% 0.07/0.34 % Status : Theorem
% 0.07/0.34 % Rating : 0.08 v9.1.0, 0.00 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.00 v6.2.0, 0.33 v6.1.0, 0.00 v3.7.0
% 0.07/0.34 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.07/0.34 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.07/0.34 % Maximal formula atoms : 0 ( 0 avg)
% 0.07/0.34 % Number of connectives : 1 ( 1 ~; 0 |; 0 &; 0 @)
% 0.07/0.34 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.07/0.34 % Maximal formula depth : 3 ( 3 avg)
% 0.07/0.34 % Number of types : 1 ( 0 usr)
% 0.07/0.34 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.07/0.34 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.07/0.34 % Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 0.07/0.34 % SPC : TH0_THM_NEQ_NAR
% 0.07/0.34
% 0.07/0.34 % Comments :
% 0.07/0.34 %------------------------------------------------------------------------------
% 0.07/0.34 thf(conj,conjecture,
% 0.07/0.34 ~ ! [P: $o] : P ).
% 0.07/0.34
% 0.07/0.34 %------------------------------------------------------------------------------
% 0.07/0.34 ------------------------
% 1.39/1.23 ---- Embedded in THF ---
% 1.39/1.24 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.39/1.24 %%% Generated on Tue Feb 24 14:21:31 EST 2026
% 1.39/1.24 %%% using '$$dhol' embedding, version 1.3.0.
% 1.39/1.24 %%% Logic specification used:
% 1.39/1.24 %%% thf(spec, logic, $$dhol).
% 1.39/1.24
% 1.39/1.24 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.SOiuQN5bEF/DTF2DTF32536.p
% See solution above
% 1.39/1.24 ------------------------
% 1.39/1.24 ---- Cleaned THF ---
% 1.39/1.24 thf(conj,conjecture,
% 1.39/1.24 ~ ! [P: $o] : P ).
% 1.39/1.24 ------------------------
% 1.39/1.26 % (32634)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_32536 for (3000ds/4Mi)
% 1.39/1.26 % (32635)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_32536 for (3000ds/27Mi)
% 1.39/1.26 % (32633)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_32536 for (3000ds/183Mi)
% 1.39/1.26 % (32636)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_32536 for (3000ds/2Mi)
% 1.39/1.26 % (32639)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_32536 for (3000ds/18Mi)
% 1.39/1.26 % (32638)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_32536 for (3000ds/275Mi)
% 1.39/1.26 % (32637)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_32536 for (3000ds/2Mi)
% 1.39/1.26 % (32634)First to succeed.
% 1.39/1.26 % (32638)Refutation not found, incomplete strategy
% 1.39/1.26 % (32638)------------------------------
% 1.39/1.26 % (32638)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.39/1.26 % (32638)Termination reason: Refutation not found, incomplete strategy
% 1.39/1.26
% 1.39/1.26
% 1.39/1.26 % (32638)Memory used [KB]: 5373
% 1.39/1.26 % (32638)Time elapsed: 0.002 s
% 1.39/1.26 % (32638)Instructions burned: 1 (million)
% 1.39/1.26 % (32638)------------------------------
% 1.39/1.26 % (32638)------------------------------
% 1.39/1.26 % (32636)Also succeeded, but the first one will report.
% 1.39/1.26 % (32633)Also succeeded, but the first one will report.
% 1.39/1.27 % (32634)Refutation found. Thanks to Tanya!
% 1.39/1.27 % SZS status Theorem for DTF2THF_32536
% 1.39/1.27 % SZS output start Proof for DTF2THF_32536
% 1.39/1.27 tff(f8,plain,(
% 1.39/1.27 $false),
% 1.39/1.27 inference(subsumption_resolution,[status(thm)],[f3,f7])).
% 1.39/1.27 tff(f7,plain,(
% 1.39/1.27 ( ! [X0 : $o] : (($true = X0)) )),
% 1.39/1.27 inference(cnf_transformation,[status(thm)],[f6])).
% 1.39/1.27 tff(f6,plain,(
% 1.39/1.27 ! [X0 : $o] : ($true = X0)),
% 1.39/1.27 inference(flattening,[status(thm)],[f5])).
% 1.39/1.27 tff(f5,plain,(
% 1.39/1.27 ~~! [X0 : $o] : ($true = X0)),
% 1.39/1.27 inference(fool_elimination,[status(thm)],[f4])).
% 1.39/1.27 tff(f4,plain,(
% 1.39/1.27 ~~! [X0 : $o] : X0),
% 1.39/1.27 inference(rectify,[status(thm)],[f2])).
% 1.39/1.27 tff(f2,negated_conjecture,(
% 1.39/1.27 ~~! [X0 : $o] : X0),
% 1.39/1.27 inference(negated_conjecture,[status(cth)],[f1])).
% 1.39/1.27 tff(f1,conjecture,(
% 1.39/1.27 ~! [X0 : $o] : X0),
% 1.39/1.27 file('/export/starexec/sandbox/tmp/tmp.SOiuQN5bEF/DTF2THF_32536.p',conj)).
% 1.39/1.27 tff(f3,plain,(
% 1.39/1.27 ($false != $true)),
% 1.39/1.27 introduced(definition,[],[fool_axiom])).
% 1.39/1.27 % SZS output end Proof for DTF2THF_32536
% 1.39/1.27 % (32634)------------------------------
% 1.39/1.27 % (32634)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.39/1.27 % (32634)Termination reason: Refutation
% 1.39/1.27
% 1.39/1.27 % (32634)Memory used [KB]: 5373
% 1.39/1.27 % (32634)Time elapsed: 0.002 s
% 1.39/1.27 % (32634)Instructions burned: 1 (million)
% 1.39/1.27 % (32634)------------------------------
% 1.39/1.27 % (32634)------------------------------
% 1.39/1.27 % (32632)Success in time 0.006 s
%------------------------------------------------------------------------------