%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO193^5 : 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 09:53:38 AM UTC 2026
% Result : Theorem 1.40s 1.27s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 8 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 28 ( 18 ~; 0 |; 0 &; 10 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 1 ^; 14 !; 5 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_4,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f18,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[f17]) ).
thf(f17,plain,
$true != $true,
inference(beta_eta_normalization,[status(thm)],[f11]) ).
thf(f11,plain,
! [X0: $o > $o] :
( ( ^ [Y0: $o > $o] : $true
@ X0 )
!= $true ),
inference(primitive_instantiation,[status(thm)],[f10]) ).
thf(f10,plain,
! [X0: $o > $o,X1: ( $o > $o ) > $o] :
( $true
!= ( X1 @ X0 ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
thf(f9,plain,
! [X0: $o > $o,X1: ( $o > $o ) > $o] :
( $true
!= ( X1 @ X0 ) ),
inference(rectify,[status(thm)],[f8]) ).
thf(f8,plain,
! [X1: $o > $o,X0: ( $o > $o ) > $o] :
( ( X0 @ X1 )
!= $true ),
inference(flattening,[status(thm)],[f7]) ).
thf(f7,plain,
! [X0: ( $o > $o ) > $o,X1: $o > $o] :
( ( X0 @ X1 )
!= $true ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
! [X0: ( $o > $o ) > $o] :
~ ? [X1: $o > $o] :
( ( X0 @ X1 )
= $true ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
~ ~ ! [X0: ( $o > $o ) > $o] :
~ ? [X1: $o > $o] :
( ( X0 @ X1 )
= $true ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ~ ! [X0: ( $o > $o ) > $o] :
~ ? [X1: $o > $o] : ( X0 @ X1 ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ~ ! [X0: ( $o > $o ) > $o] :
~ ? [X1: $o > $o] : ( X0 @ X1 ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
~ ! [X0: ( $o > $o ) > $o] :
~ ? [X1: $o > $o] : ( X0 @ X1 ),
file('/export/starexec/sandbox/tmp/tmp.dS7IzOAQMc/DTF2THF_3107.p',cCT20) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYO193^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.06/0.25 % Computer : n024.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Feb 24 09:25:55 EST 2026
% 0.06/0.25 % CPUTime :
% 0.06/0.25 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.06/0.34 ---- Original DTF file ---
% 0.06/0.34 thf(spec,logic,$$dhol).
% 0.06/0.34 %------------------------------------------------------------------------------
% 0.06/0.34 % File : SYO193^5 : TPTP v9.2.1. Released v4.0.0.
% 0.06/0.34 % Domain : Syntactic
% 0.06/0.34 % Problem : TPS problem CT20
% 0.06/0.34 % Version : Especial.
% 0.06/0.34 % English :
% 0.06/0.34
% 0.06/0.34 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.06/0.34 % Source : [Bro09]
% 0.06/0.34 % Names : tps_0023 [Bro09]
% 0.06/0.34 % : CT20 [TPS]
% 0.06/0.34
% 0.06/0.34 % Status : Theorem
% 0.06/0.34 % Rating : 0.17 v9.1.0, 0.12 v9.0.0, 0.17 v8.2.0, 0.18 v8.1.0, 0.17 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.33 v6.1.0, 0.00 v4.0.0
% 0.06/0.34 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.06/0.34 % Number of atoms : 0 ( 0 equ; 0 cnn)
% 0.06/0.34 % Maximal formula atoms : 0 ( 0 avg)
% 0.06/0.34 % Number of connectives : 3 ( 2 ~; 0 |; 0 &; 1 @)
% 0.06/0.34 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.06/0.34 % Maximal formula depth : 6 ( 6 avg)
% 0.06/0.34 % Number of types : 1 ( 0 usr)
% 0.06/0.34 % Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% 0.06/0.34 % Number of symbols : 0 ( 0 usr; 0 con; --- aty)
% 0.06/0.34 % Number of variables : 2 ( 0 ^; 1 !; 1 ?; 2 :)
% 0.06/0.34 % SPC : TH0_THM_NEQ_NAR
% 0.06/0.34
% 0.06/0.34 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.06/0.34 % project in the Department of Mathematical Sciences at Carnegie
% 0.06/0.34 % Mellon University. Distributed under the Creative Commons copyleft
% 0.06/0.34 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.06/0.34 %------------------------------------------------------------------------------
% 0.06/0.34 thf(cCT20,conjecture,
% 0.06/0.34 ~ ! [Xq: ( $o > $o ) > $o] :
% 0.06/0.34 ~ ? [Xp: $o > $o] : ( Xq @ Xp ) ).
% 0.06/0.34
% 0.06/0.34 %------------------------------------------------------------------------------
% 0.06/0.34 ------------------------
% 1.40/1.24 ---- Embedded in THF ---
% 1.40/1.24 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.40/1.24 %%% Generated on Tue Feb 24 09:25:56 EST 2026
% 1.40/1.24 %%% using '$$dhol' embedding, version 1.3.0.
% 1.40/1.24 %%% Logic specification used:
% 1.40/1.24 %%% thf(spec, logic, $$dhol).
% 1.40/1.24
% 1.40/1.24 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.dS7IzOAQMc/DTF2DTF3107.p
% See solution above
% 1.40/1.24 ------------------------
% 1.40/1.25 ---- Cleaned THF ---
% 1.40/1.25 thf(cCT20,conjecture,
% 1.40/1.25 ~ ! [Xq: ( $o > $o ) > $o] :
% 1.40/1.25 ~ ? [Xp: $o > $o] : ( Xq @ Xp ) ).
% 1.40/1.25 ------------------------
% 1.40/1.27 % (3206)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_3107 for (3000ds/4Mi)
% 1.40/1.27 % (3209)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_3107 for (3000ds/2Mi)
% 1.40/1.27 % (3205)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_3107 for (3000ds/183Mi)
% 1.40/1.27 % (3207)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_3107 for (3000ds/27Mi)
% 1.40/1.27 % (3208)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_3107 for (3000ds/2Mi)
% 1.40/1.27 % (3210)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_3107 for (3000ds/275Mi)
% 1.40/1.27 % (3211)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_3107 for (3000ds/18Mi)
% 1.40/1.27 % (3207)Refutation not found, incomplete strategy
% 1.40/1.27 % (3207)------------------------------
% 1.40/1.27 % (3207)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.27 % (3210)First to succeed.
% 1.40/1.27 % (3207)Termination reason: Refutation not found, incomplete strategy
% 1.40/1.27
% 1.40/1.27
% 1.40/1.27 % (3207)Memory used [KB]: 5373
% 1.40/1.27 % (3207)Time elapsed: 0.002 s
% 1.40/1.27 % (3207)Instructions burned: 1 (million)
% 1.40/1.27 % (3207)------------------------------
% 1.40/1.27 % (3207)------------------------------
% 1.40/1.27 % (3205)Also succeeded, but the first one will report.
% 1.40/1.27 % (3210)Refutation found. Thanks to Tanya!
% 1.40/1.27 % SZS status Theorem for DTF2THF_3107
% 1.40/1.27 % SZS output start Proof for DTF2THF_3107
% 1.40/1.27 thf(func_def_4, type, ph1: !>[X0: $tType]:(X0)).
% 1.40/1.27 thf(f18,plain,(
% 1.40/1.27 $false),
% 1.40/1.27 inference(trivial_inequality_removal,[status(thm)],[f17])).
% 1.40/1.27 thf(f17,plain,(
% 1.40/1.27 ($true != $true)),
% 1.40/1.27 inference(beta_eta_normalization,[status(thm)],[f11])).
% 1.40/1.27 thf(f11,plain,(
% 1.40/1.27 ( ! [X0 : $o > $o] : ((((^[Y0 : $o > $o]: ($true)) @ X0) != $true)) )),
% 1.40/1.27 inference(primitive_instantiation,[status(thm)],[f10])).
% 1.40/1.27 thf(f10,plain,(
% 1.40/1.27 ( ! [X0 : $o > $o,X1 : ($o > $o) > $o] : (($true != (X1 @ X0))) )),
% 1.40/1.27 inference(cnf_transformation,[status(thm)],[f9])).
% 1.40/1.27 thf(f9,plain,(
% 1.40/1.27 ! [X0 : $o > $o,X1 : ($o > $o) > $o] : ($true != (X1 @ X0))),
% 1.40/1.27 inference(rectify,[status(thm)],[f8])).
% 1.40/1.27 thf(f8,plain,(
% 1.40/1.27 ! [X1 : $o > $o,X0 : ($o > $o) > $o] : ((X0 @ X1) != $true)),
% 1.40/1.27 inference(flattening,[status(thm)],[f7])).
% 1.40/1.27 thf(f7,plain,(
% 1.40/1.27 ! [X0 : ($o > $o) > $o] : ! [X1 : $o > $o] : ((X0 @ X1) != $true)),
% 1.40/1.27 inference(ennf_transformation,[status(thm)],[f6])).
% 1.40/1.27 thf(f6,plain,(
% 1.40/1.27 ! [X0 : ($o > $o) > $o] : ~? [X1 : $o > $o] : ((X0 @ X1) = $true)),
% 1.40/1.27 inference(flattening,[status(thm)],[f5])).
% 1.40/1.27 thf(f5,plain,(
% 1.40/1.27 ~~! [X0 : ($o > $o) > $o] : ~? [X1 : $o > $o] : ((X0 @ X1) = $true)),
% 1.40/1.27 inference(fool_elimination,[status(thm)],[f4])).
% 1.40/1.27 thf(f4,plain,(
% 1.40/1.27 ~~! [X0 : ($o > $o) > $o] : ~? [X1 : $o > $o] : (X0 @ X1)),
% 1.40/1.27 inference(rectify,[status(thm)],[f2])).
% 1.40/1.27 thf(f2,negated_conjecture,(
% 1.40/1.27 ~~! [X0 : ($o > $o) > $o] : ~? [X1 : $o > $o] : (X0 @ X1)),
% 1.40/1.27 inference(negated_conjecture,[status(cth)],[f1])).
% 1.40/1.27 thf(f1,conjecture,(
% 1.40/1.27 ~! [X0 : ($o > $o) > $o] : ~? [X1 : $o > $o] : (X0 @ X1)),
% 1.40/1.27 file('/export/starexec/sandbox/tmp/tmp.dS7IzOAQMc/DTF2THF_3107.p',cCT20)).
% 1.40/1.27 % SZS output end Proof for DTF2THF_3107
% 1.40/1.27 % (3210)------------------------------
% 1.40/1.27 % (3210)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.40/1.27 % (3210)Termination reason: Refutation
% 1.40/1.27
% 1.40/1.27 % (3210)Memory used [KB]: 5373
% 1.40/1.27 % (3210)Time elapsed: 0.003 s
% 1.40/1.27 % (3210)Instructions burned: 1 (million)
% 1.40/1.27 % (3210)------------------------------
% 1.40/1.27 % (3210)------------------------------
% 1.40/1.28 % (3204)Success in time 0.017 s
%------------------------------------------------------------------------------