%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO347^5 : 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 : n023.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 09:54:00 AM UTC 2026
% Result : Theorem 1.54s 1.30s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 16 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 43 ( 16 ~; 10 |; 2 &; 15 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cD: $i > $o ).
thf(func_def_1,type,
cR: ( $i > $o ) > $o ).
thf(func_def_2,type,
cC: $i > $o ).
thf(f12,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f11,f9]) ).
thf(f9,plain,
( ( cR @ cD )
!= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( ( cC = cD )
& ( ( cR @ cD )
!= $true )
& ( ( cR @ cC )
= $true ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ( ( cC != cD )
| ( ( cR @ cC )
!= $true )
| ( ( cR @ cD )
= $true ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ( ( cR @ cC )
!= $true )
| ( cC != cD )
| ( ( cR @ cD )
= $true ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ~ ( cR @ cC )
| ( cC != cD )
| ( cR @ cD ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ~ ( cR @ cC )
| ( cC != cD )
| ( cR @ cD ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ~ ( cR @ cC )
| ( cC != cD )
| ( cR @ cD ) ),
file('/export/starexec/sandbox/tmp/tmp.zFCbLZ5vZ0/DTF2THF_14567.p',cTHM620) ).
thf(f11,plain,
( ( cR @ cD )
= $true ),
inference(definition_unfolding,[status(thm)],[f8,f10]) ).
thf(f10,plain,
cC = cD,
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f8,plain,
( ( cR @ cC )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO347^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n023.cluster.edu
% 0.11/0.29 % Model : x86_64 x86_64
% 0.11/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.29 % Memory : 8042.1875MB
% 0.11/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.29 % CPULimit : 300
% 0.11/0.29 % WCLimit : 300
% 0.11/0.29 % DateTime : Tue Feb 24 14:29:04 EST 2026
% 0.11/0.29 % CPUTime :
% 0.11/0.29 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.38 ---- Original DTF file ---
% 0.18/0.38 thf(spec,logic,$$dhol).
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 % File : SYO347^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.38 % Domain : Syntactic
% 0.18/0.38 % Problem : TPS problem THM620
% 0.18/0.38 % Version : Especial.
% 0.18/0.38 % English : Simple extensionality example.
% 0.18/0.38
% 0.18/0.38 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.38 % Source : [Bro09]
% 0.18/0.38 % Names : tps_0050 [Bro09]
% 0.18/0.38 % : THM619 [TPS]
% 0.18/0.38 % : THM620 [TPS]
% 0.18/0.38
% 0.18/0.38 % Status : Theorem
% 0.18/0.38 % Rating : 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v4.1.0, 0.33 v4.0.0
% 0.18/0.38 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.18/0.38 % Number of atoms : 7 ( 1 equ; 0 cnn)
% 0.18/0.38 % Maximal formula atoms : 5 ( 7 avg)
% 0.18/0.38 % Number of connectives : 6 ( 2 ~; 2 |; 0 &; 2 @)
% 0.18/0.38 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.18/0.38 % Maximal formula depth : 5 ( 5 avg)
% 0.18/0.38 % Number of types : 2 ( 0 usr)
% 0.18/0.38 % Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% 0.18/0.38 % Number of symbols : 4 ( 3 usr; 0 con; 1-2 aty)
% 0.18/0.38 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.18/0.38 % SPC : TH0_THM_EQU_NAR
% 0.18/0.38
% 0.18/0.38 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.38 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.38 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.38 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 thf(cD,type,
% 0.18/0.38 cD: $i > $o ).
% 0.18/0.38
% 0.18/0.38 thf(cR,type,
% 0.18/0.38 cR: ( $i > $o ) > $o ).
% 0.18/0.38
% 0.18/0.38 thf(cC,type,
% 0.18/0.38 cC: $i > $o ).
% 0.18/0.38
% 0.18/0.38 thf(cTHM620,conjecture,
% 0.18/0.38 ( ( cC != cD )
% 0.18/0.38 | ~ ( cR @ cC )
% 0.18/0.38 | ( cR @ cD ) ) ).
% 0.18/0.38
% 0.18/0.38 %------------------------------------------------------------------------------
% 0.18/0.38 ------------------------
% 1.38/1.27 ---- Embedded in THF ---
% 1.38/1.27 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.38/1.27 %%% Generated on Tue Feb 24 14:29:05 EST 2026
% 1.38/1.27 %%% using '$$dhol' embedding, version 1.3.0.
% 1.38/1.27 %%% Logic specification used:
% 1.38/1.27 %%% thf(spec, logic, $$dhol).
% 1.38/1.27
% 1.38/1.27 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.zFCbLZ5vZ0/DTF2DTF14567.p
% See solution above
% 1.38/1.27 ------------------------
% 1.38/1.28 ---- Cleaned THF ---
% 1.38/1.28 thf(cD,type,
% 1.38/1.28 cD: $i > $o ).
% 1.38/1.28
% 1.38/1.28 thf(cR,type,
% 1.38/1.28 cR: ( $i > $o ) > $o ).
% 1.38/1.28
% 1.38/1.28 thf(cC,type,
% 1.38/1.28 cC: $i > $o ).
% 1.38/1.28
% 1.38/1.28 thf(cTHM620,conjecture,
% 1.38/1.28 ( ( cC != cD )
% 1.38/1.28 | ~ ( cR @ cC )
% 1.38/1.28 | ( cR @ cD ) ) ).
% 1.38/1.28 ------------------------
% 1.38/1.30 % (14667)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_14567 for (3000ds/27Mi)
% 1.38/1.30 % (14670)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_14567 for (3000ds/275Mi)
% 1.38/1.30 % (14668)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_14567 for (3000ds/2Mi)
% 1.38/1.30 % (14666)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_14567 for (3000ds/4Mi)
% 1.38/1.30 % (14665)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_14567 for (3000ds/183Mi)
% 1.38/1.30 % (14669)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_14567 for (3000ds/2Mi)
% 1.38/1.30 % (14671)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_14567 for (3000ds/18Mi)
% 1.54/1.30 % (14670)First to succeed.
% 1.54/1.30 % (14669)Instruction limit reached!
% 1.54/1.30 % (14669)------------------------------
% 1.54/1.30 % (14669)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.30 % (14669)Termination reason: Unknown
% 1.54/1.30 % (14669)Termination phase: Saturation
% 1.54/1.30
% 1.54/1.30 % (14669)Memory used [KB]: 5500
% 1.54/1.30 % (14669)Time elapsed: 0.003 s
% 1.54/1.30 % (14669)Instructions burned: 2 (million)
% 1.54/1.30 % (14669)------------------------------
% 1.54/1.30 % (14669)------------------------------
% 1.54/1.30 % (14671)Also succeeded, but the first one will report.
% 1.54/1.30 % (14667)Also succeeded, but the first one will report.
% 1.54/1.30 % (14670)Refutation found. Thanks to Tanya!
% 1.54/1.30 % SZS status Theorem for DTF2THF_14567
% 1.54/1.30 % SZS output start Proof for DTF2THF_14567
% 1.54/1.30 thf(func_def_0, type, cD: $i > $o).
% 1.54/1.30 thf(func_def_1, type, cR: ($i > $o) > $o).
% 1.54/1.30 thf(func_def_2, type, cC: $i > $o).
% 1.54/1.30 thf(f12,plain,(
% 1.54/1.30 $false),
% 1.54/1.30 inference(subsumption_resolution,[status(thm)],[f11,f9])).
% 1.54/1.30 thf(f9,plain,(
% 1.54/1.30 ((cR @ cD) != $true)),
% 1.54/1.30 inference(cnf_transformation,[status(thm)],[f7])).
% 1.54/1.30 thf(f7,plain,(
% 1.54/1.30 (cC = cD) & ((cR @ cD) != $true) & ((cR @ cC) = $true)),
% 1.54/1.30 inference(ennf_transformation,[status(thm)],[f6])).
% 1.54/1.30 thf(f6,plain,(
% 1.54/1.30 ~((cC != cD) | ((cR @ cC) != $true) | ((cR @ cD) = $true))),
% 1.54/1.30 inference(flattening,[status(thm)],[f5])).
% 1.54/1.30 thf(f5,plain,(
% 1.54/1.30 ~(~((cR @ cC) = $true) | (cC != cD) | ((cR @ cD) = $true))),
% 1.54/1.30 inference(fool_elimination,[status(thm)],[f4])).
% 1.54/1.30 thf(f4,plain,(
% 1.54/1.30 ~(~(cR @ cC) | (cC != cD) | (cR @ cD))),
% 1.54/1.30 inference(rectify,[status(thm)],[f2])).
% 1.54/1.30 thf(f2,negated_conjecture,(
% 1.54/1.30 ~(~(cR @ cC) | (cC != cD) | (cR @ cD))),
% 1.54/1.30 inference(negated_conjecture,[status(cth)],[f1])).
% 1.54/1.30 thf(f1,conjecture,(
% 1.54/1.30 ~(cR @ cC) | (cC != cD) | (cR @ cD)),
% 1.54/1.30 file('/export/starexec/sandbox/tmp/tmp.zFCbLZ5vZ0/DTF2THF_14567.p',cTHM620)).
% 1.54/1.30 thf(f11,plain,(
% 1.54/1.30 ((cR @ cD) = $true)),
% 1.54/1.30 inference(definition_unfolding,[status(thm)],[f8,f10])).
% 1.54/1.30 thf(f10,plain,(
% 1.54/1.30 (cC = cD)),
% 1.54/1.30 inference(cnf_transformation,[status(thm)],[f7])).
% 1.54/1.30 thf(f8,plain,(
% 1.54/1.30 ((cR @ cC) = $true)),
% 1.54/1.30 inference(cnf_transformation,[status(thm)],[f7])).
% 1.54/1.30 % SZS output end Proof for DTF2THF_14567
% 1.54/1.30 % (14670)------------------------------
% 1.54/1.30 % (14670)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.30 % (14670)Termination reason: Refutation
% 1.54/1.30
% 1.54/1.30 % (14670)Memory used [KB]: 5373
% 1.54/1.30 % (14670)Time elapsed: 0.002 s
% 1.54/1.30 % (14670)Instructions burned: 1 (million)
% 1.54/1.30 % (14670)------------------------------
% 1.54/1.30 % (14670)------------------------------
% 1.54/1.30 % (14664)Success in time 0.017 s
%------------------------------------------------------------------------------