%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO345^5 : 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 : n031.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 1.49s 1.29s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 42 ( 16 equ; 0 cnn)
% Maximal formula atoms : 1 ( 4 avg)
% Number of connectives : 37 ( 7 ~; 0 |; 0 &; 30 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_0,type,
cH: $o > $i ).
thf(func_def_6,type,
ph1:
!>[X0: $tType] : X0 ).
thf(f14,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f13,f8]) ).
thf(f8,plain,
( ( cH @ $true )
= ( cH @ $false ) ),
inference(equality_proxy_clausification,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ( cH @ $false )
= ( cH @ $true ) )
!= $false ),
inference(equality_resolution,[status(thm)],[f6]) ).
thf(f6,plain,
( ( cH @ $false )
!= ( cH
@ ( ( cH @ $false )
= ( cH @ $true ) ) ) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
( ( cH @ $false )
!= ( cH
@ ( ( cH @ $false )
= ( cH @ $true ) ) ) ),
inference(flattening,[status(thm)],[f4]) ).
thf(f4,plain,
( ( cH @ $false )
!= ( cH
@ ( ( cH @ $false )
= ( cH @ $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
( ( cH
@ ( ( cH @ $false )
= ( cH @ $true ) ) )
!= ( cH @ $false ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ( cH
@ ( ( cH @ $false )
= ( cH @ $true ) ) )
= ( cH @ $false ) ),
file('/export/starexec/sandbox/tmp/tmp.MfIlboeOsv/DTF2THF_25862.p',cTHM615) ).
thf(f13,plain,
( ( cH @ $true )
!= ( cH @ $false ) ),
inference(boolean_simplification,[status(thm)],[f10]) ).
thf(f10,plain,
( ( cH @ $false )
!= ( cH
@ ( ( cH @ $false )
= ( cH @ $false ) ) ) ),
inference(superposition,[status(thm)],[f6,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO345^5 : TPTP v9.2.1. Released v4.0.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n031.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Feb 24 14:29:18 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.31/0.45 ---- Original DTF file ---
% 0.31/0.45 thf(spec,logic,$$dhol).
% 0.31/0.45 %------------------------------------------------------------------------------
% 0.31/0.45 % File : SYO345^5 : TPTP v9.2.1. Released v4.0.0.
% 0.31/0.45 % Domain : Syntactic
% 0.31/0.45 % Problem : TPS problem THM615
% 0.31/0.45 % Version : Especial.
% 0.31/0.45 % English :
% 0.31/0.45
% 0.31/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.31/0.45 % Source : [Bro09]
% 0.31/0.45 % Names : tps_0032 [Bro09]
% 0.31/0.45 % : THM615 [TPS]
% 0.31/0.45
% 0.31/0.45 % Status : Theorem
% 0.31/0.45 % Rating : 0.00 v7.4.0, 0.22 v7.2.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.29 v6.1.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v5.3.0, 0.40 v5.0.0, 0.60 v4.1.0, 0.67 v4.0.0
% 0.31/0.45 % Syntax : Number of formulae : 2 ( 1 unt; 1 typ; 0 def)
% 0.31/0.45 % Number of atoms : 5 ( 2 equ; 0 cnn)
% 0.31/0.45 % Maximal formula atoms : 1 ( 5 avg)
% 0.31/0.45 % Number of connectives : 4 ( 0 ~; 0 |; 0 &; 4 @)
% 0.31/0.45 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.31/0.45 % Maximal formula depth : 1 ( 1 avg)
% 0.31/0.45 % Number of types : 2 ( 0 usr)
% 0.31/0.45 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.31/0.45 % Number of symbols : 4 ( 1 usr; 2 con; 0-2 aty)
% 0.31/0.45 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.31/0.45 % SPC : TH0_THM_EQU_NAR
% 0.31/0.45
% 0.31/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.31/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.31/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.31/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.31/0.45 %------------------------------------------------------------------------------
% 0.31/0.45 thf(cH,type,
% 0.31/0.45 cH: $o > $i ).
% 0.31/0.45
% 0.31/0.45 thf(cTHM615,conjecture,
% 0.31/0.45 ( ( cH
% 0.31/0.45 @ ( ( cH @ $true )
% 0.31/0.45 = ( cH @ $false ) ) )
% 0.31/0.45 = ( cH @ $false ) ) ).
% 0.31/0.45
% 0.31/0.45 %------------------------------------------------------------------------------
% 0.31/0.45 ------------------------
% 1.49/1.25 ---- Embedded in THF ---
% 1.49/1.25 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.25 %%% Generated on Tue Feb 24 14:29:19 EST 2026
% 1.49/1.25 %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.25 %%% Logic specification used:
% 1.49/1.25 %%% thf(spec, logic, $$dhol).
% 1.49/1.25
% 1.49/1.25 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.MfIlboeOsv/DTF2DTF25862.p
% See solution above
% 1.49/1.25 ------------------------
% 1.49/1.26 ---- Cleaned THF ---
% 1.49/1.26 thf(cH,type,
% 1.49/1.26 cH: $o > $i ).
% 1.49/1.26
% 1.49/1.26 thf(cTHM615,conjecture,
% 1.49/1.26 ( ( cH
% 1.49/1.26 @ ( ( cH @ $true )
% 1.49/1.26 = ( cH @ $false ) ) )
% 1.49/1.26 = ( cH @ $false ) ) ).
% 1.49/1.26 ------------------------
% 1.49/1.28 % (26132)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_25862 for (2999ds/4Mi)
% 1.49/1.28 % (26132)Refutation not found, incomplete strategy
% 1.49/1.28 % (26132)------------------------------
% 1.49/1.28 % (26132)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.28 % (26132)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.28
% 1.49/1.28
% 1.49/1.28 % (26132)Memory used [KB]: 5373
% 1.49/1.28 % (26132)Time elapsed: 0.002 s
% 1.49/1.28 % (26132)Instructions burned: 1 (million)
% 1.49/1.28 % (26132)------------------------------
% 1.49/1.28 % (26132)------------------------------
% 1.49/1.28 % (26134)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_25862 for (2999ds/2Mi)
% 1.49/1.28 % (26134)Refutation not found, incomplete strategy
% 1.49/1.28 % (26134)------------------------------
% 1.49/1.28 % (26134)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.28 % (26134)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.28
% 1.49/1.28
% 1.49/1.28 % (26134)Memory used [KB]: 5373
% 1.49/1.28 % (26134)Time elapsed: 0.002 s
% 1.49/1.28 % (26134)------------------------------
% 1.49/1.28 % (26134)------------------------------
% 1.49/1.29 % (26131)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_25862 for (2999ds/183Mi)
% 1.49/1.29 % (26133)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_25862 for (2999ds/27Mi)
% 1.49/1.29 % (26135)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_25862 for (2999ds/2Mi)
% 1.49/1.29 % (26136)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_25862 for (2999ds/275Mi)
% 1.49/1.29 % (26137)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_25862 for (2999ds/18Mi)
% 1.49/1.29 % (26131)First to succeed.
% 1.49/1.29 % (26133)Refutation not found, incomplete strategy
% 1.49/1.29 % (26133)------------------------------
% 1.49/1.29 % (26133)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (26133)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.29
% 1.49/1.29
% 1.49/1.29 % (26133)Memory used [KB]: 5373
% 1.49/1.29 % (26133)Time elapsed: 0.003 s
% 1.49/1.29 % (26133)Instructions burned: 1 (million)
% 1.49/1.29 % (26133)------------------------------
% 1.49/1.29 % (26133)------------------------------
% 1.49/1.29 % (26136)Refutation not found, incomplete strategy
% 1.49/1.29 % (26136)------------------------------
% 1.49/1.29 % (26136)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (26136)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.29
% 1.49/1.29
% 1.49/1.29 % (26136)Memory used [KB]: 5373
% 1.49/1.29 % (26136)Time elapsed: 0.003 s
% 1.49/1.29 % (26136)Instructions burned: 1 (million)
% 1.49/1.29 % (26136)------------------------------
% 1.49/1.29 % (26136)------------------------------
% 1.49/1.29 % (26135)Refutation not found, incomplete strategy
% 1.49/1.29 % (26135)------------------------------
% 1.49/1.29 % (26135)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (26137)Also succeeded, but the first one will report.
% 1.49/1.29 % (26135)Termination reason: Refutation not found, incomplete strategy
% 1.49/1.29
% 1.49/1.29
% 1.49/1.29 % (26135)Memory used [KB]: 5500
% 1.49/1.29 % (26135)Time elapsed: 0.003 s
% 1.49/1.29 % (26135)Instructions burned: 1 (million)
% 1.49/1.29 % (26135)------------------------------
% 1.49/1.29 % (26135)------------------------------
% 1.49/1.29 % (26131)Refutation found. Thanks to Tanya!
% 1.49/1.29 % SZS status Theorem for DTF2THF_25862
% 1.49/1.29 % SZS output start Proof for DTF2THF_25862
% 1.49/1.29 thf(func_def_0, type, cH: $o > $i).
% 1.49/1.29 thf(func_def_6, type, ph1: !>[X0: $tType]:(X0)).
% 1.49/1.29 thf(f14,plain,(
% 1.49/1.29 $false),
% 1.49/1.29 inference(subsumption_resolution,[status(thm)],[f13,f8])).
% 1.49/1.29 thf(f8,plain,(
% 1.49/1.29 ((cH @ $true) = (cH @ $false))),
% 1.49/1.29 inference(equality_proxy_clausification,[status(thm)],[f7])).
% 1.49/1.29 thf(f7,plain,(
% 1.49/1.29 (((cH @ $false) = (cH @ $true)) != $false)),
% 1.49/1.29 inference(equality_resolution,[status(thm)],[f6])).
% 1.49/1.29 thf(f6,plain,(
% 1.49/1.29 ((cH @ $false) != (cH @ ((cH @ $false) = (cH @ $true))))),
% 1.49/1.29 inference(cnf_transformation,[status(thm)],[f5])).
% 1.49/1.29 thf(f5,plain,(
% 1.49/1.29 ((cH @ $false) != (cH @ ((cH @ $false) = (cH @ $true))))),
% 1.49/1.29 inference(flattening,[status(thm)],[f4])).
% 1.49/1.29 thf(f4,plain,(
% 1.49/1.29 ~((cH @ $false) = (cH @ ((cH @ $false) = (cH @ $true))))),
% 1.49/1.29 inference(fool_elimination,[status(thm)],[f2])).
% 1.49/1.29 thf(f2,negated_conjecture,(
% 1.49/1.29 ~((cH @ ((cH @ $false) = (cH @ $true))) = (cH @ $false))),
% 1.49/1.29 inference(negated_conjecture,[status(cth)],[f1])).
% 1.49/1.29 thf(f1,conjecture,(
% 1.49/1.29 ((cH @ ((cH @ $false) = (cH @ $true))) = (cH @ $false))),
% 1.49/1.29 file('/export/starexec/sandbox/tmp/tmp.MfIlboeOsv/DTF2THF_25862.p',cTHM615)).
% 1.49/1.29 thf(f13,plain,(
% 1.49/1.29 ((cH @ $true) != (cH @ $false))),
% 1.49/1.29 inference(boolean_simplification,[status(thm)],[f10])).
% 1.49/1.29 thf(f10,plain,(
% 1.49/1.29 ((cH @ $false) != (cH @ ((cH @ $false) = (cH @ $false))))),
% 1.49/1.29 inference(superposition,[status(thm)],[f6,f8])).
% 1.49/1.29 % SZS output end Proof for DTF2THF_25862
% 1.49/1.29 % (26131)------------------------------
% 1.49/1.29 % (26131)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.29 % (26131)Termination reason: Refutation
% 1.49/1.29
% 1.49/1.29 % (26131)Memory used [KB]: 5500
% 1.49/1.29 % (26131)Time elapsed: 0.004 s
% 1.49/1.29 % (26131)Instructions burned: 1 (million)
% 1.49/1.29 % (26131)------------------------------
% 1.49/1.29 % (26131)------------------------------
% 1.49/1.29 % (26130)Success in time 0.018 s
%------------------------------------------------------------------------------