%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO349^5 : TPTP v9.2.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n002.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 1.33s
% Output : Refutation 1.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 83 ( 18 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 56 ( 22 ~; 15 |; 3 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_1,type,
cP: $o > $o ).
thf(f14,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f12,f13]) ).
thf(f13,plain,
( $true
!= ( cP @ $true ) ),
inference(definition_unfolding,[status(thm)],[f10,f9]) ).
thf(f9,plain,
cB = $true,
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( ( ( cP @ cA )
= $true )
& ( ( cP @ cB )
!= $true )
& ( cB = $true )
& ( cA = $true ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
~ ( ( cA != $true )
| ( ( cP @ cA )
!= $true )
| ( ( cP @ cB )
= $true )
| ( cB != $true ) ),
inference(flattening,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ( ( cP @ cA )
!= $true )
| ( ( cP @ cB )
= $true )
| ( cB != $true )
| ( cA != $true ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ~ ( cP @ cA )
| ( cP @ cB )
| ~ cB
| ~ cA ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ~ ( cP @ cA )
| ( cP @ cB )
| ~ cB
| ~ cA ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ~ ( cP @ cA )
| ( cP @ cB )
| ~ cB
| ~ cA ),
file('/export/starexec/sandbox2/tmp/tmp.JwbpjMarc8/DTF2THF_21885.p',cTHM617) ).
thf(f10,plain,
( ( cP @ cB )
!= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f12,plain,
( $true
= ( cP @ $true ) ),
inference(definition_unfolding,[status(thm)],[f11,f8]) ).
thf(f8,plain,
cA = $true,
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f11,plain,
( ( cP @ cA )
= $true ),
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO349^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.30 % Computer : n002.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 300
% 0.11/0.30 % DateTime : Tue Feb 24 14:28:33 EST 2026
% 0.11/0.30 % CPUTime :
% 0.11/0.30 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/0.39 ---- Original DTF file ---
% 0.17/0.39 thf(spec,logic,$$dhol).
% 0.17/0.39 %------------------------------------------------------------------------------
% 0.17/0.39 % File : SYO349^5 : TPTP v9.2.1. Released v4.0.0.
% 0.17/0.39 % Domain : Syntactic
% 0.17/0.39 % Problem : TPS problem THM617
% 0.17/0.39 % Version : Especial.
% 0.17/0.39 % English : Simple extensionality example.
% 0.17/0.39
% 0.17/0.39 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.17/0.39 % Source : [Bro09]
% 0.17/0.39 % Names : tps_0065 [Bro09]
% 0.17/0.39 % : THM617 [TPS]
% 0.17/0.39
% 0.17/0.39 % Status : Theorem
% 0.17/0.39 % Rating : 0.17 v9.1.0, 0.12 v9.0.0, 0.17 v8.2.0, 0.18 v8.1.0, 0.08 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 v6.0.0, 0.00 v5.3.0, 0.25 v4.1.0, 0.33 v4.0.0
% 0.17/0.39 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.17/0.39 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.17/0.39 % Maximal formula atoms : 6 ( 6 avg)
% 0.17/0.39 % Number of connectives : 8 ( 3 ~; 3 |; 0 &; 2 @)
% 0.17/0.39 % ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% 0.17/0.39 % Maximal formula depth : 6 ( 6 avg)
% 0.17/0.39 % Number of types : 1 ( 0 usr)
% 0.17/0.39 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.17/0.39 % Number of symbols : 3 ( 3 usr; 2 con; 0-1 aty)
% 0.17/0.39 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.17/0.39 % SPC : TH0_THM_NEQ_NAR
% 0.17/0.39
% 0.17/0.39 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.17/0.39 % project in the Department of Mathematical Sciences at Carnegie
% 0.17/0.39 % Mellon University. Distributed under the Creative Commons copyleft
% 0.17/0.39 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.17/0.39 %------------------------------------------------------------------------------
% 0.17/0.39 thf(cB,type,
% 0.17/0.39 cB: $o ).
% 0.17/0.39
% 0.17/0.39 thf(cP,type,
% 0.17/0.39 cP: $o > $o ).
% 0.17/0.39
% 0.17/0.39 thf(cA,type,
% 0.17/0.39 cA: $o ).
% 0.17/0.39
% 0.17/0.39 thf(cTHM617,conjecture,
% 0.17/0.39 ( ~ cA
% 0.17/0.39 | ~ cB
% 0.17/0.39 | ~ ( cP @ cA )
% 0.17/0.39 | ( cP @ cB ) ) ).
% 0.17/0.39
% 0.17/0.39 %------------------------------------------------------------------------------
% 0.17/0.39 ------------------------
% 1.36/1.29 ---- Embedded in THF ---
% 1.36/1.29 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.36/1.29 %%% Generated on Tue Feb 24 14:28:34 EST 2026
% 1.36/1.29 %%% using '$$dhol' embedding, version 1.3.0.
% 1.36/1.29 %%% Logic specification used:
% 1.36/1.29 %%% thf(spec, logic, $$dhol).
% 1.36/1.29
% 1.36/1.29 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.JwbpjMarc8/DTF2DTF21885.p
% See solution above
% 1.36/1.29 ------------------------
% 1.54/1.30 ---- Cleaned THF ---
% 1.54/1.30 thf(cB,type,
% 1.54/1.30 cB: $o ).
% 1.54/1.30
% 1.54/1.30 thf(cP,type,
% 1.54/1.30 cP: $o > $o ).
% 1.54/1.30
% 1.54/1.30 thf(cA,type,
% 1.54/1.30 cA: $o ).
% 1.54/1.30
% 1.54/1.30 thf(cTHM617,conjecture,
% 1.54/1.30 ( ~ cA
% 1.54/1.30 | ~ cB
% 1.54/1.30 | ~ ( cP @ cA )
% 1.54/1.30 | ( cP @ cB ) ) ).
% 1.54/1.30 ------------------------
% 1.54/1.32 % (21983)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_21885 for (3000ds/183Mi)
% 1.54/1.32 % (21984)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_21885 for (3000ds/4Mi)
% 1.54/1.32 % (21986)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_21885 for (3000ds/2Mi)
% 1.54/1.32 % (21985)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_21885 for (3000ds/27Mi)
% 1.54/1.32 % (21987)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_21885 for (3000ds/2Mi)
% 1.54/1.32 % (21989)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_21885 for (3000ds/18Mi)
% 1.54/1.32 % (21988)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_21885 for (3000ds/275Mi)
% 1.54/1.32 % (21983)First to succeed.
% 1.54/1.32 % (21986)Also succeeded, but the first one will report.
% 1.54/1.32 % (21987)Instruction limit reached!
% 1.54/1.32 % (21987)------------------------------
% 1.54/1.32 % (21987)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.32 % (21987)Termination reason: Unknown
% 1.54/1.32 % (21987)Termination phase: Saturation
% 1.54/1.32
% 1.54/1.32 % (21987)Memory used [KB]: 5500
% 1.54/1.32 % (21987)Time elapsed: 0.004 s
% 1.54/1.32 % (21987)Instructions burned: 3 (million)
% 1.54/1.33 % (21987)------------------------------
% 1.54/1.33 % (21987)------------------------------
% 1.54/1.33 % (21984)Also succeeded, but the first one will report.
% 1.54/1.33 % (21983)Refutation found. Thanks to Tanya!
% 1.54/1.33 % SZS status Theorem for DTF2THF_21885
% 1.54/1.33 % SZS output start Proof for DTF2THF_21885
% 1.54/1.33 thf(func_def_1, type, cP: $o > $o).
% 1.54/1.33 thf(f14,plain,(
% 1.54/1.33 $false),
% 1.54/1.33 inference(subsumption_resolution,[status(thm)],[f12,f13])).
% 1.54/1.33 thf(f13,plain,(
% 1.54/1.33 ($true != (cP @ $true))),
% 1.54/1.33 inference(definition_unfolding,[status(thm)],[f10,f9])).
% 1.54/1.33 thf(f9,plain,(
% 1.54/1.33 (cB = $true)),
% 1.54/1.33 inference(cnf_transformation,[status(thm)],[f7])).
% 1.54/1.33 thf(f7,plain,(
% 1.54/1.33 ((cP @ cA) = $true) & ((cP @ cB) != $true) & (cB = $true) & (cA = $true)),
% 1.54/1.33 inference(ennf_transformation,[status(thm)],[f6])).
% 1.54/1.33 thf(f6,plain,(
% 1.54/1.33 ~((cA != $true) | ((cP @ cA) != $true) | ((cP @ cB) = $true) | (cB != $true))),
% 1.54/1.33 inference(flattening,[status(thm)],[f5])).
% 1.54/1.33 thf(f5,plain,(
% 1.54/1.33 ~(~((cP @ cA) = $true) | ((cP @ cB) = $true) | ~(cB = $true) | ~(cA = $true))),
% 1.54/1.33 inference(fool_elimination,[status(thm)],[f4])).
% 1.54/1.33 thf(f4,plain,(
% 1.54/1.33 ~(~(cP @ cA) | (cP @ cB) | ~cB | ~cA)),
% 1.54/1.33 inference(rectify,[status(thm)],[f2])).
% 1.54/1.33 thf(f2,negated_conjecture,(
% 1.54/1.33 ~(~(cP @ cA) | (cP @ cB) | ~cB | ~cA)),
% 1.54/1.33 inference(negated_conjecture,[status(cth)],[f1])).
% 1.54/1.33 thf(f1,conjecture,(
% 1.54/1.33 ~(cP @ cA) | (cP @ cB) | ~cB | ~cA),
% 1.54/1.33 file('/export/starexec/sandbox2/tmp/tmp.JwbpjMarc8/DTF2THF_21885.p',cTHM617)).
% 1.54/1.33 thf(f10,plain,(
% 1.54/1.33 ((cP @ cB) != $true)),
% 1.54/1.33 inference(cnf_transformation,[status(thm)],[f7])).
% 1.54/1.33 thf(f12,plain,(
% 1.54/1.33 ($true = (cP @ $true))),
% 1.54/1.33 inference(definition_unfolding,[status(thm)],[f11,f8])).
% 1.54/1.33 thf(f8,plain,(
% 1.54/1.33 (cA = $true)),
% 1.54/1.33 inference(cnf_transformation,[status(thm)],[f7])).
% 1.54/1.33 thf(f11,plain,(
% 1.54/1.33 ((cP @ cA) = $true)),
% 1.54/1.33 inference(cnf_transformation,[status(thm)],[f7])).
% 1.54/1.33 % SZS output end Proof for DTF2THF_21885
% 1.54/1.33 % (21983)------------------------------
% 1.54/1.33 % (21983)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.54/1.33 % (21983)Termination reason: Refutation
% 1.54/1.33
% 1.54/1.33 % (21983)Memory used [KB]: 5373
% 1.54/1.33 % (21983)Time elapsed: 0.003 s
% 1.54/1.33 % (21983)Instructions burned: 1 (million)
% 1.54/1.33 % (21983)------------------------------
% 1.54/1.33 % (21983)------------------------------
% 1.54/1.33 % (21982)Success in time 0.018 s
%------------------------------------------------------------------------------