%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO123^5 : 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 : n027.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 09:53:25 AM UTC 2026
% Result : Theorem 1.53s 1.32s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 4 unt; 0 typ; 2 def)
% Number of atoms : 77 ( 13 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 51 ( 11 ~; 7 |; 5 &; 22 @)
% ( 2 <=>; 4 =>; 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 : 8 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(func_def_1,type,
cP: $i > $o ).
thf(f22,plain,
$false,
inference(avatar_sat_refutation,[status(thm)],[f17,f19,f21]) ).
thf(f21,plain,
spl0_2,
inference(avatar_contradiction_clause,[status(thm)],[f20]) ).
thf(f20,plain,
( $false
| spl0_2 ),
inference(subsumption_resolution,[status(thm)],[f16,f8]) ).
thf(f8,plain,
! [X0: $i] :
( ( cP @ X0 )
= $true ),
inference(cnf_transformation,[status(thm)],[f6]) ).
thf(f6,plain,
( ! [X0: $i] :
( ( cP @ X0 )
= $true )
& ( ( ( cP @ b )
!= $true )
| ( ( cP @ a )
!= $true ) ) ),
inference(ennf_transformation,[status(thm)],[f5]) ).
thf(f5,plain,
~ ( ! [X0: $i] :
( ( cP @ X0 )
= $true )
=> ( ( ( cP @ b )
= $true )
& ( ( cP @ a )
= $true ) ) ),
inference(fool_elimination,[status(thm)],[f4]) ).
thf(f4,plain,
~ ( ! [X0: $i] : ( cP @ X0 )
=> ( ( cP @ a )
& ( cP @ b ) ) ),
inference(rectify,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ( ! [X0: $i] : ( cP @ X0 )
=> ( ( cP @ a )
& ( cP @ b ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
( ! [X0: $i] : ( cP @ X0 )
=> ( ( cP @ a )
& ( cP @ b ) ) ),
file('/export/starexec/sandbox/tmp/tmp.WJgL6MeSqu/DTF2THF_17393.p',cALLCONJ2) ).
thf(f16,plain,
( ( ( cP @ b )
!= $true )
| spl0_2 ),
inference(avatar_component_clause,[status(thm)],[f14]) ).
thf(f14,definition,
( spl0_2
<=> ( ( cP @ b )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).
thf(f19,plain,
spl0_1,
inference(avatar_contradiction_clause,[status(thm)],[f18]) ).
thf(f18,plain,
( $false
| spl0_1 ),
inference(subsumption_resolution,[status(thm)],[f12,f8]) ).
thf(f12,plain,
( ( ( cP @ a )
!= $true )
| spl0_1 ),
inference(avatar_component_clause,[status(thm)],[f10]) ).
thf(f10,definition,
( spl0_1
<=> ( ( cP @ a )
= $true ) ),
introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).
thf(f17,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[status(thm)],[f7,f14,f10]) ).
thf(f7,plain,
( ( ( cP @ b )
!= $true )
| ( ( cP @ a )
!= $true ) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO123^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.10 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.29 % Computer : n027.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 14:24:52 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
% 0.16/0.39 ---- Original DTF file ---
% 0.16/0.39 thf(spec,logic,$$dhol).
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 % File : SYO123^5 : TPTP v9.2.1. Released v4.0.0.
% 0.16/0.39 % Domain : Syntactic
% 0.16/0.39 % Problem : TPS problem from BASIC-FO-THMS
% 0.16/0.39 % Version : Especial.
% 0.16/0.39 % English :
% 0.16/0.39
% 0.16/0.39 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.16/0.39 % Source : [Bro09]
% 0.16/0.39 % Names : tps_0645 [Bro09]
% 0.16/0.39
% 0.16/0.39 % Status : Theorem
% 0.16/0.39 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.16/0.39 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.16/0.39 % Number of atoms : 3 ( 0 equ; 0 cnn)
% 0.16/0.39 % Maximal formula atoms : 3 ( 3 avg)
% 0.16/0.39 % Number of connectives : 5 ( 0 ~; 0 |; 1 &; 3 @)
% 0.16/0.39 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.16/0.39 % Maximal formula depth : 4 ( 4 avg)
% 0.16/0.39 % Number of types : 2 ( 0 usr)
% 0.16/0.39 % Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% 0.16/0.39 % Number of symbols : 3 ( 3 usr; 2 con; 0-1 aty)
% 0.16/0.39 % Number of variables : 1 ( 0 ^; 1 !; 0 ?; 1 :)
% 0.16/0.39 % SPC : TH0_THM_NEQ_NAR
% 0.16/0.39
% 0.16/0.39 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.16/0.39 % project in the Department of Mathematical Sciences at Carnegie
% 0.16/0.39 % Mellon University. Distributed under the Creative Commons copyleft
% 0.16/0.39 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 thf(b,type,
% 0.16/0.39 b: $i ).
% 0.16/0.39
% 0.16/0.39 thf(cP,type,
% 0.16/0.39 cP: $i > $o ).
% 0.16/0.39
% 0.16/0.39 thf(a,type,
% 0.16/0.39 a: $i ).
% 0.16/0.39
% 0.16/0.39 thf(cALLCONJ2,conjecture,
% 0.16/0.39 ( ! [Xx: $i] : ( cP @ Xx )
% 0.16/0.39 => ( ( cP @ a )
% 0.16/0.39 & ( cP @ b ) ) ) ).
% 0.16/0.39
% 0.16/0.39 %------------------------------------------------------------------------------
% 0.16/0.39 ------------------------
% 1.33/1.29 ---- Embedded in THF ---
% 1.33/1.29 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.33/1.29 %%% Generated on Tue Feb 24 14:24:53 EST 2026
% 1.33/1.29 %%% using '$$dhol' embedding, version 1.3.0.
% 1.33/1.29 %%% Logic specification used:
% 1.33/1.29 %%% thf(spec, logic, $$dhol).
% 1.33/1.29
% 1.33/1.29 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.WJgL6MeSqu/DTF2DTF17393.p
% See solution above
% 1.33/1.29 ------------------------
% 1.53/1.30 ---- Cleaned THF ---
% 1.53/1.30 thf(b,type,
% 1.53/1.30 b: $i ).
% 1.53/1.30
% 1.53/1.30 thf(cP,type,
% 1.53/1.30 cP: $i > $o ).
% 1.53/1.30
% 1.53/1.30 thf(a,type,
% 1.53/1.30 a: $i ).
% 1.53/1.30
% 1.53/1.30 thf(cALLCONJ2,conjecture,
% 1.53/1.30 ( ! [Xx: $i] : ( cP @ Xx )
% 1.53/1.30 => ( ( cP @ a )
% 1.53/1.30 & ( cP @ b ) ) ) ).
% 1.53/1.30 ------------------------
% 1.53/1.32 % (17495)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_17393 for (3000ds/275Mi)
% 1.53/1.32 % (17490)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_17393 for (3000ds/183Mi)
% 1.53/1.32 % (17491)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_17393 for (3000ds/4Mi)
% 1.53/1.32 % (17493)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_17393 for (3000ds/2Mi)
% 1.53/1.32 % (17492)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_17393 for (3000ds/27Mi)
% 1.53/1.32 % (17494)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_17393 for (3000ds/2Mi)
% 1.53/1.32 % (17496)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_17393 for (3000ds/18Mi)
% 1.53/1.32 % (17495)First to succeed.
% 1.53/1.32 % (17494)Instruction limit reached!
% 1.53/1.32 % (17494)------------------------------
% 1.53/1.32 % (17494)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.32 % (17494)Termination reason: Unknown
% 1.53/1.32 % (17494)Termination phase: Saturation
% 1.53/1.32
% 1.53/1.32 % (17494)Memory used [KB]: 5500
% 1.53/1.32 % (17494)Time elapsed: 0.003 s
% 1.53/1.32 % (17494)Instructions burned: 2 (million)
% 1.53/1.32 % (17494)------------------------------
% 1.53/1.32 % (17494)------------------------------
% 1.53/1.32 % (17490)Also succeeded, but the first one will report.
% 1.53/1.32 % (17496)Also succeeded, but the first one will report.
% 1.53/1.32 % (17495)Refutation found. Thanks to Tanya!
% 1.53/1.32 % SZS status Theorem for DTF2THF_17393
% 1.53/1.32 % SZS output start Proof for DTF2THF_17393
% 1.53/1.32 thf(func_def_1, type, cP: $i > $o).
% 1.53/1.32 thf(f22,plain,(
% 1.53/1.32 $false),
% 1.53/1.32 inference(avatar_sat_refutation,[status(thm)],[f17,f19,f21])).
% 1.53/1.32 thf(f21,plain,(
% 1.53/1.32 spl0_2),
% 1.53/1.32 inference(avatar_contradiction_clause,[status(thm)],[f20])).
% 1.53/1.32 thf(f20,plain,(
% 1.53/1.32 $false | spl0_2),
% 1.53/1.32 inference(subsumption_resolution,[status(thm)],[f16,f8])).
% 1.53/1.32 thf(f8,plain,(
% 1.53/1.32 ( ! [X0 : $i] : (((cP @ X0) = $true)) )),
% 1.53/1.32 inference(cnf_transformation,[status(thm)],[f6])).
% 1.53/1.32 thf(f6,plain,(
% 1.53/1.32 ! [X0 : $i] : ((cP @ X0) = $true) & (((cP @ b) != $true) | ((cP @ a) != $true))),
% 1.53/1.32 inference(ennf_transformation,[status(thm)],[f5])).
% 1.53/1.32 thf(f5,plain,(
% 1.53/1.32 ~(! [X0 : $i] : ((cP @ X0) = $true) => (((cP @ b) = $true) & ((cP @ a) = $true)))),
% 1.53/1.32 inference(fool_elimination,[status(thm)],[f4])).
% 1.53/1.32 thf(f4,plain,(
% 1.53/1.32 ~(! [X0 : $i] : (cP @ X0) => ((cP @ a) & (cP @ b)))),
% 1.53/1.32 inference(rectify,[status(thm)],[f2])).
% 1.53/1.32 thf(f2,negated_conjecture,(
% 1.53/1.32 ~(! [X0 : $i] : (cP @ X0) => ((cP @ a) & (cP @ b)))),
% 1.53/1.32 inference(negated_conjecture,[status(cth)],[f1])).
% 1.53/1.32 thf(f1,conjecture,(
% 1.53/1.32 ! [X0 : $i] : (cP @ X0) => ((cP @ a) & (cP @ b))),
% 1.53/1.32 file('/export/starexec/sandbox/tmp/tmp.WJgL6MeSqu/DTF2THF_17393.p',cALLCONJ2)).
% 1.53/1.32 thf(f16,plain,(
% 1.53/1.32 ((cP @ b) != $true) | spl0_2),
% 1.53/1.32 inference(avatar_component_clause,[status(thm)],[f14])).
% 1.53/1.32 thf(f14,definition,(
% 1.53/1.32 spl0_2 <=> ((cP @ b) = $true)),
% 1.53/1.32 introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.53/1.32 thf(f19,plain,(
% 1.53/1.32 spl0_1),
% 1.53/1.32 inference(avatar_contradiction_clause,[status(thm)],[f18])).
% 1.53/1.32 thf(f18,plain,(
% 1.53/1.32 $false | spl0_1),
% 1.53/1.32 inference(subsumption_resolution,[status(thm)],[f12,f8])).
% 1.53/1.32 thf(f12,plain,(
% 1.53/1.32 ((cP @ a) != $true) | spl0_1),
% 1.53/1.32 inference(avatar_component_clause,[status(thm)],[f10])).
% 1.53/1.32 thf(f10,definition,(
% 1.53/1.32 spl0_1 <=> ((cP @ a) = $true)),
% 1.53/1.32 introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.53/1.32 thf(f17,plain,(
% 1.53/1.32 ~spl0_1 | ~spl0_2),
% 1.53/1.32 inference(avatar_split_clause,[status(thm)],[f7,f14,f10])).
% 1.53/1.32 thf(f7,plain,(
% 1.53/1.32 ((cP @ b) != $true) | ((cP @ a) != $true)),
% 1.53/1.32 inference(cnf_transformation,[status(thm)],[f6])).
% 1.53/1.32 % SZS output end Proof for DTF2THF_17393
% 1.53/1.32 % (17495)------------------------------
% 1.53/1.32 % (17495)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.53/1.32 % (17495)Termination reason: Refutation
% 1.53/1.32
% 1.53/1.32 % (17495)Memory used [KB]: 5373
% 1.53/1.32 % (17495)Time elapsed: 0.003 s
% 1.53/1.32 % (17495)Instructions burned: 1 (million)
% 1.53/1.32 % (17495)------------------------------
% 1.53/1.32 % (17495)------------------------------
% 1.53/1.32 % (17489)Success in time 0.017 s
%------------------------------------------------------------------------------