%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO203^5 : 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 : n016.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 09:53:39 AM UTC 2026
% Result : Theorem 1.49s 1.27s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 15 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 121 ( 34 equ)
% Maximal formula atoms : 6 ( 8 avg)
% Number of connectives : 63 ( 25 ~; 7 |; 6 &)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 68 ( 68 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 6 ( 3 usr; 5 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f17,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f15,f16]) ).
tff(f16,plain,
q != $true,
inference(subsumption_resolution,[status(thm)],[f13,f10]) ).
tff(f10,plain,
r != $true,
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f9,plain,
( ( ( q != $true )
| ( r = $true ) )
& ( ( q = $true )
| ( p != $true ) )
& ( p = $true )
& ( r != $true ) ),
inference(flattening,[status(thm)],[f8]) ).
tff(f8,plain,
( ( r != $true )
& ( p = $true )
& ( ( q = $true )
| ( p != $true ) )
& ( ( q != $true )
| ( r = $true ) ) ),
inference(ennf_transformation,[status(thm)],[f7]) ).
tff(f7,plain,
~ ( ( ( q = $true )
=> ( r = $true ) )
=> ( ( ( q != $true )
=> ( p != $true ) )
=> ( ( p = $true )
=> ( r = $true ) ) ) ),
inference(flattening,[status(thm)],[f6]) ).
tff(f6,plain,
~ ( ( ( q = $true )
=> ( r = $true ) )
=> ( ( ( q != $true )
=> ( p != $true ) )
=> ( ( p = $true )
=> ( r = $true ) ) ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ( ( q
=> r )
=> ( ( ~ q
=> ~ p )
=> ( p
=> r ) ) ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( q
=> r )
=> ( ( ~ q
=> ~ p )
=> ( p
=> r ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
( ( q
=> r )
=> ( ( ~ q
=> ~ p )
=> ( p
=> r ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.HkXbkLoPja/DTF2THF_7840.p',cPROP_2003_3_13) ).
tff(f13,plain,
( ( r = $true )
| ( q != $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f15,plain,
q = $true,
inference(trivial_inequality_removal,[status(thm)],[f14]) ).
tff(f14,plain,
( ( q = $true )
| ( $true != $true ) ),
inference(definition_unfolding,[status(thm)],[f12,f11]) ).
tff(f11,plain,
p = $true,
inference(cnf_transformation,[status(thm)],[f9]) ).
tff(f12,plain,
( ( q = $true )
| ( p != $true ) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO203^5 : TPTP v9.2.1. Released v4.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.15/0.33 % Computer : n016.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 14:27:06 EST 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.33 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.18/0.45 ---- Original DTF file ---
% 0.18/0.45 thf(spec,logic,$$dhol).
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 % File : SYO203^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.45 % Domain : Syntactic
% 0.18/0.45 % Problem : TPS problem PROP-2003-3-13
% 0.18/0.45 % Version : Especial.
% 0.18/0.45 % English :
% 0.18/0.45
% 0.18/0.45 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.18/0.45 % Source : [Bro09]
% 0.18/0.45 % Names : tps_0068 [Bro09]
% 0.18/0.45 % : PROP-2003-3-13 [TPS]
% 0.18/0.45
% 0.18/0.45 % Status : Theorem
% 0.18/0.45 % 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 v4.0.0
% 0.18/0.45 % Syntax : Number of formulae : 4 ( 0 unt; 3 typ; 0 def)
% 0.18/0.45 % Number of atoms : 6 ( 0 equ; 0 cnn)
% 0.18/0.45 % Maximal formula atoms : 6 ( 6 avg)
% 0.18/0.45 % Number of connectives : 7 ( 2 ~; 0 |; 0 &; 0 @)
% 0.18/0.45 % ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% 0.18/0.45 % Maximal formula depth : 5 ( 5 avg)
% 0.18/0.45 % Number of types : 1 ( 0 usr)
% 0.18/0.45 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.18/0.45 % Number of symbols : 3 ( 3 usr; 3 con; 0-0 aty)
% 0.18/0.45 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.18/0.45 % SPC : TH0_THM_NEQ_NAR
% 0.18/0.45
% 0.18/0.45 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.18/0.45 % project in the Department of Mathematical Sciences at Carnegie
% 0.18/0.45 % Mellon University. Distributed under the Creative Commons copyleft
% 0.18/0.45 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 thf(r,type,
% 0.18/0.45 r: $o ).
% 0.18/0.45
% 0.18/0.45 thf(p,type,
% 0.18/0.45 p: $o ).
% 0.18/0.45
% 0.18/0.45 thf(q,type,
% 0.18/0.45 q: $o ).
% 0.18/0.45
% 0.18/0.45 thf(cPROP_2003_3_13,conjecture,
% 0.18/0.45 ( ( q
% 0.18/0.45 => r )
% 0.18/0.45 => ( ( ~ q
% 0.18/0.45 => ~ p )
% 0.18/0.45 => ( p
% 0.18/0.45 => r ) ) ) ).
% 0.18/0.45
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 ------------------------
% 1.49/1.24 ---- Embedded in THF ---
% 1.49/1.24 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.49/1.24 %%% Generated on Tue Feb 24 14:27:07 EST 2026
% 1.49/1.24 %%% using '$$dhol' embedding, version 1.3.0.
% 1.49/1.24 %%% Logic specification used:
% 1.49/1.24 %%% thf(spec, logic, $$dhol).
% 1.49/1.24
% 1.49/1.24 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.HkXbkLoPja/DTF2DTF7840.p
% See solution above
% 1.49/1.24 ------------------------
% 1.49/1.25 ---- Cleaned THF ---
% 1.49/1.25 thf(r,type,
% 1.49/1.25 r: $o ).
% 1.49/1.25
% 1.49/1.25 thf(p,type,
% 1.49/1.25 p: $o ).
% 1.49/1.25
% 1.49/1.25 thf(q,type,
% 1.49/1.25 q: $o ).
% 1.49/1.25
% 1.49/1.25 thf(cPROP_2003_3_13,conjecture,
% 1.49/1.25 ( ( q
% 1.49/1.25 => r )
% 1.49/1.25 => ( ( ~ q
% 1.49/1.25 => ~ p )
% 1.49/1.25 => ( p
% 1.49/1.25 => r ) ) ) ).
% 1.49/1.25 ------------------------
% 1.49/1.27 % (8011)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_7840 for (3000ds/183Mi)
% 1.49/1.27 % (8016)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_7840 for (3000ds/275Mi)
% 1.49/1.27 % (8011)First to succeed.
% 1.49/1.27 % (8016)Also succeeded, but the first one will report.
% 1.49/1.27 % (8011)Refutation found. Thanks to Tanya!
% 1.49/1.27 % SZS status Theorem for DTF2THF_7840
% 1.49/1.27 % SZS output start Proof for DTF2THF_7840
% 1.49/1.27 tff(f17,plain,(
% 1.49/1.27 $false),
% 1.49/1.27 inference(subsumption_resolution,[status(thm)],[f15,f16])).
% 1.49/1.27 tff(f16,plain,(
% 1.49/1.27 (q != $true)),
% 1.49/1.27 inference(subsumption_resolution,[status(thm)],[f13,f10])).
% 1.49/1.27 tff(f10,plain,(
% 1.49/1.27 (r != $true)),
% 1.49/1.27 inference(cnf_transformation,[status(thm)],[f9])).
% 1.49/1.27 tff(f9,plain,(
% 1.49/1.27 ((q != $true) | (r = $true)) & ((q = $true) | (p != $true)) & (p = $true) & (r != $true)),
% 1.49/1.27 inference(flattening,[status(thm)],[f8])).
% 1.49/1.27 tff(f8,plain,(
% 1.49/1.27 (((r != $true) & (p = $true)) & ((q = $true) | (p != $true))) & ((q != $true) | (r = $true))),
% 1.49/1.27 inference(ennf_transformation,[status(thm)],[f7])).
% 1.49/1.27 tff(f7,plain,(
% 1.49/1.27 ~(((q = $true) => (r = $true)) => (((q != $true) => (p != $true)) => ((p = $true) => (r = $true))))),
% 1.49/1.27 inference(flattening,[status(thm)],[f6])).
% 1.49/1.27 tff(f6,plain,(
% 1.49/1.27 ~(((q = $true) => (r = $true)) => ((~(q = $true) => ~(p = $true)) => ((p = $true) => (r = $true))))),
% 1.49/1.27 inference(fool_elimination,[status(thm)],[f5])).
% 1.49/1.27 tff(f5,plain,(
% 1.49/1.27 ~((q => r) => ((~q => ~p) => (p => r)))),
% 1.49/1.27 inference(rectify,[status(thm)],[f2])).
% 1.49/1.27 tff(f2,negated_conjecture,(
% 1.49/1.27 ~((q => r) => ((~q => ~p) => (p => r)))),
% 1.49/1.27 inference(negated_conjecture,[status(cth)],[f1])).
% 1.49/1.27 tff(f1,conjecture,(
% 1.49/1.27 (q => r) => ((~q => ~p) => (p => r))),
% 1.49/1.27 file('/export/starexec/sandbox2/tmp/tmp.HkXbkLoPja/DTF2THF_7840.p',cPROP_2003_3_13)).
% 1.49/1.27 tff(f13,plain,(
% 1.49/1.27 (r = $true) | (q != $true)),
% 1.49/1.27 inference(cnf_transformation,[status(thm)],[f9])).
% 1.49/1.27 tff(f15,plain,(
% 1.49/1.27 (q = $true)),
% 1.49/1.27 inference(trivial_inequality_removal,[status(thm)],[f14])).
% 1.49/1.27 tff(f14,plain,(
% 1.49/1.27 (q = $true) | ($true != $true)),
% 1.49/1.27 inference(definition_unfolding,[status(thm)],[f12,f11])).
% 1.49/1.27 tff(f11,plain,(
% 1.49/1.27 (p = $true)),
% 1.49/1.27 inference(cnf_transformation,[status(thm)],[f9])).
% 1.49/1.27 tff(f12,plain,(
% 1.49/1.27 (q = $true) | (p != $true)),
% 1.49/1.27 inference(cnf_transformation,[status(thm)],[f9])).
% 1.49/1.27 % SZS output end Proof for DTF2THF_7840
% 1.49/1.27 % (8011)------------------------------
% 1.49/1.27 % (8011)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.49/1.27 % (8011)Termination reason: Refutation
% 1.49/1.27
% 1.49/1.27 % (8011)Memory used [KB]: 5373
% 1.49/1.27 % (8011)Time elapsed: 0.002 s
% 1.49/1.27 % (8011)------------------------------
% 1.49/1.27 % (8011)------------------------------
% 1.49/1.27 % (8010)Success in time 0.004 s
%------------------------------------------------------------------------------