%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO380^5 : 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 : n006.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 09:54:05 AM UTC 2026
% Result : Theorem 1.65s 1.48s
% Output : Refutation 1.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 8 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 6 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 34 ( 5 ~; 0 |; 1 &; 24 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 ^; 5 !; 8 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cR: $i > $i > $o ).
thf(f9,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f7,f8]) ).
thf(f8,plain,
! [X0: $i,X1: $i] :
( ( cR @ X0 @ X1 )
!= $true ),
inference(cnf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
! [X0: $i] :
( ! [X1: $i] :
( ( cR @ X0 @ X1 )
!= $true )
& ( ( cR @ x @ X0 )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ? [X0: $i] :
( ( ( cR @ x @ X0 )
= $true )
=> ? [X1: $i] :
( ( cR @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ? [X0: $i] :
( ( cR @ x @ X0 )
=> ? [X1: $i] : ( cR @ X0 @ X1 ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ? [X0: $i] :
( ( cR @ x @ X0 )
=> ? [X1: $i] : ( cR @ X0 @ X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
? [X0: $i] :
( ( cR @ x @ X0 )
=> ? [X1: $i] : ( cR @ X0 @ X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.G2Ytk87knI/DTF2THF_27678.p',cX_2002_12_17_B) ).
thf(f7,plain,
! [X0: $i] :
( ( cR @ x @ X0 )
= $true ),
inference(cnf_transformation,[status(thm)],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO380^5 : TPTP v9.2.1. Released v4.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.34 % Computer : n006.cluster.edu
% 0.18/0.34 % Model : x86_64 x86_64
% 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34 % Memory : 8042.1875MB
% 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34 % CPULimit : 300
% 0.18/0.34 % WCLimit : 300
% 0.18/0.34 % DateTime : Tue Feb 24 14:29:00 EST 2026
% 0.21/0.35 % CPUTime :
% 0.21/0.35 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.30/0.50 ---- Original DTF file ---
% 0.30/0.50 thf(spec,logic,$$dhol).
% 0.30/0.50 %------------------------------------------------------------------------------
% 0.30/0.50 % File : SYO380^5 : TPTP v9.2.1. Released v4.0.0.
% 0.30/0.50 % Domain : Syntactic
% 0.30/0.50 % Problem : TPS problem X-2002-12-17-B
% 0.30/0.50 % Version : Especial.
% 0.30/0.50 % English : Suggested by a student's answer on a test.
% 0.30/0.50
% 0.30/0.50 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.30/0.50 % Source : [Bro09]
% 0.30/0.50 % Names : tps_0057 [Bro09]
% 0.30/0.50 % : X-2002-12-17-B [TPS]
% 0.30/0.50
% 0.30/0.50 % Status : Theorem
% 0.30/0.50 % Rating : 0.00 v6.2.0, 0.17 v6.0.0, 0.00 v4.0.0
% 0.30/0.50 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.30/0.50 % Number of atoms : 2 ( 0 equ; 0 cnn)
% 0.30/0.50 % Maximal formula atoms : 2 ( 2 avg)
% 0.30/0.50 % Number of connectives : 5 ( 0 ~; 0 |; 0 &; 4 @)
% 0.30/0.50 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.30/0.50 % Maximal formula depth : 6 ( 6 avg)
% 0.30/0.50 % Number of types : 2 ( 0 usr)
% 0.30/0.50 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.30/0.50 % Number of symbols : 2 ( 2 usr; 1 con; 0-2 aty)
% 0.30/0.50 % Number of variables : 2 ( 0 ^; 0 !; 2 ?; 2 :)
% 0.30/0.50 % SPC : TH0_THM_NEQ_NAR
% 0.30/0.50
% 0.30/0.50 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.30/0.50 % project in the Department of Mathematical Sciences at Carnegie
% 0.30/0.50 % Mellon University. Distributed under the Creative Commons copyleft
% 0.30/0.50 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.30/0.50 %------------------------------------------------------------------------------
% 0.30/0.50 thf(cR,type,
% 0.30/0.50 cR: $i > $i > $o ).
% 0.30/0.50
% 0.30/0.50 thf(x,type,
% 0.30/0.50 x: $i ).
% 0.30/0.50
% 0.30/0.50 thf(cX_2002_12_17_B,conjecture,
% 0.30/0.50 ? [Xy: $i] :
% 0.30/0.50 ( ( cR @ x @ Xy )
% 0.30/0.50 => ? [Xx0: $i] : ( cR @ Xy @ Xx0 ) ) ).
% 0.30/0.50
% 0.30/0.50 %------------------------------------------------------------------------------
% 0.30/0.50 ------------------------
% 1.65/1.45 ---- Embedded in THF ---
% 1.65/1.45 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.65/1.45 %%% Generated on Tue Feb 24 14:29:01 EST 2026
% 1.65/1.45 %%% using '$$dhol' embedding, version 1.3.0.
% 1.65/1.45 %%% Logic specification used:
% 1.65/1.45 %%% thf(spec, logic, $$dhol).
% 1.65/1.45
% 1.65/1.45 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.G2Ytk87knI/DTF2DTF27678.p
% See solution above
% 1.65/1.45 ------------------------
% 1.65/1.46 ---- Cleaned THF ---
% 1.65/1.46 thf(cR,type,
% 1.65/1.46 cR: $i > $i > $o ).
% 1.65/1.46
% 1.65/1.46 thf(x,type,
% 1.65/1.46 x: $i ).
% 1.65/1.46
% 1.65/1.46 thf(cX_2002_12_17_B,conjecture,
% 1.65/1.46 ? [Xy: $i] :
% 1.65/1.46 ( ( cR @ x @ Xy )
% 1.65/1.46 => ? [Xx0: $i] : ( cR @ Xy @ Xx0 ) ) ).
% 1.65/1.46 ------------------------
% 1.65/1.48 % (27775)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_27678 for (3000ds/183Mi)
% 1.65/1.48 % (27776)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_27678 for (3000ds/4Mi)
% 1.65/1.48 % (27779)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_27678 for (3000ds/2Mi)
% 1.65/1.48 % (27777)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_27678 for (3000ds/27Mi)
% 1.65/1.48 % (27781)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_27678 for (3000ds/18Mi)
% 1.65/1.48 % (27780)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_27678 for (3000ds/275Mi)
% 1.65/1.48 % (27775)First to succeed.
% 1.65/1.48 % (27781)Also succeeded, but the first one will report.
% 1.65/1.48 % (27778)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_27678 for (3000ds/2Mi)
% 1.65/1.48 % (27776)Also succeeded, but the first one will report.
% 1.65/1.48 % (27775)Refutation found. Thanks to Tanya!
% 1.65/1.48 % SZS status Theorem for DTF2THF_27678
% 1.65/1.48 % SZS output start Proof for DTF2THF_27678
% 1.65/1.48 thf(func_def_0, type, cR: $i > $i > $o).
% 1.65/1.48 thf(f9,plain,(
% 1.65/1.48 $false),
% 1.65/1.48 inference(subsumption_resolution,[status(thm)],[f7,f8])).
% 1.65/1.48 thf(f8,plain,(
% 1.65/1.48 ( ! [X0 : $i,X1 : $i] : (((cR @ X0 @ X1) != $true)) )),
% 1.65/1.48 inference(cnf_transformation,[status(thm)],[f6])).
% 1.65/1.48 thf(f6,plain,(
% 1.65/1.48 ! [X0 : $i] : (! [X1 : $i] : ((cR @ X0 @ X1) != $true) & ((cR @ x @ X0) = $true))),
% 1.65/1.48 inference(ennf_transformation,[status(thm)],[f5])).
% 1.65/1.48 thf(f5,plain,(
% 1.65/1.48 ~? [X0 : $i] : (((cR @ x @ X0) = $true) => ? [X1 : $i] : ((cR @ X0 @ X1) = $true))),
% 1.65/1.48 inference(fool_elimination,[status(thm)],[f4])).
% 1.65/1.48 thf(f4,plain,(
% 1.65/1.48 ~? [X0 : $i] : ((cR @ x @ X0) => ? [X1 : $i] : (cR @ X0 @ X1))),
% 1.65/1.48 inference(rectify,[status(thm)],[f2])).
% 1.65/1.48 thf(f2,negated_conjecture,(
% 1.65/1.48 ~? [X0 : $i] : ((cR @ x @ X0) => ? [X1 : $i] : (cR @ X0 @ X1))),
% 1.65/1.48 inference(negated_conjecture,[status(cth)],[f1])).
% 1.65/1.48 thf(f1,conjecture,(
% 1.65/1.48 ? [X0 : $i] : ((cR @ x @ X0) => ? [X1 : $i] : (cR @ X0 @ X1))),
% 1.65/1.48 file('/export/starexec/sandbox/tmp/tmp.G2Ytk87knI/DTF2THF_27678.p',cX_2002_12_17_B)).
% 1.65/1.48 thf(f7,plain,(
% 1.65/1.48 ( ! [X0 : $i] : (((cR @ x @ X0) = $true)) )),
% 1.65/1.48 inference(cnf_transformation,[status(thm)],[f6])).
% 1.65/1.48 % SZS output end Proof for DTF2THF_27678
% 1.65/1.48 % (27775)------------------------------
% 1.65/1.48 % (27775)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.65/1.48 % (27775)Termination reason: Refutation
% 1.65/1.48
% 1.65/1.48 % (27775)Memory used [KB]: 5373
% 1.65/1.48 % (27775)Time elapsed: 0.003 s
% 1.65/1.48 % (27775)Instructions burned: 1 (million)
% 1.65/1.48 % (27775)------------------------------
% 1.65/1.48 % (27775)------------------------------
% 1.65/1.48 % (27774)Success in time 0.017 s
%------------------------------------------------------------------------------