%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO076^5 : 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 : n017.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 09:53:19 AM UTC 2026
% Result : Theorem 1.60s 1.36s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 19 equ)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 30 ( 10 ~; 4 |; 8 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of FOOLs : 38 ( 38 fml; 0 var)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 2 usr; 4 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(f14,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f13,f9]) ).
tff(f9,plain,
cQ != $true,
inference(cnf_transformation,[status(thm)],[f8]) ).
tff(f8,plain,
( ( cP = $true )
& ( ( cQ = $true )
| ( cP != $true ) )
& ( cQ != $true ) ),
inference(flattening,[status(thm)],[f7]) ).
tff(f7,plain,
( ( cQ != $true )
& ( ( cQ = $true )
| ( cP != $true ) )
& ( cP = $true ) ),
inference(ennf_transformation,[status(thm)],[f6]) ).
tff(f6,plain,
~ ( ( ( ( cP = $true )
=> ( cQ = $true ) )
& ( cP = $true ) )
=> ( cQ = $true ) ),
inference(fool_elimination,[status(thm)],[f5]) ).
tff(f5,plain,
~ ( ( ( cP
=> cQ )
& cP )
=> cQ ),
inference(rectify,[status(thm)],[f2]) ).
tff(f2,negated_conjecture,
~ ( ( ( cP
=> cQ )
& cP )
=> cQ ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f1,conjecture,
( ( ( cP
=> cQ )
& cP )
=> cQ ),
file('/export/starexec/sandbox/tmp/tmp.4Namb2pglT/DTF2THF_13269.p',cTHM114) ).
tff(f13,plain,
cQ = $true,
inference(trivial_inequality_removal,[status(thm)],[f12]) ).
tff(f12,plain,
( ( $true != $true )
| ( cQ = $true ) ),
inference(definition_unfolding,[status(thm)],[f10,f11]) ).
tff(f11,plain,
cP = $true,
inference(cnf_transformation,[status(thm)],[f8]) ).
tff(f10,plain,
( ( cQ = $true )
| ( cP != $true ) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO076^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.17/0.34 % Computer : n017.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue Feb 24 14:22:26 EST 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.26/0.47 ---- Original DTF file ---
% 0.26/0.47 thf(spec,logic,$$dhol).
% 0.26/0.47 %------------------------------------------------------------------------------
% 0.26/0.47 % File : SYO076^5 : TPTP v9.2.1. Released v4.0.0.
% 0.26/0.47 % Domain : Syntactic
% 0.26/0.47 % Problem : TPS problem THM114
% 0.26/0.47 % Version : Especial.
% 0.26/0.47 % English :
% 0.26/0.47
% 0.26/0.47 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.26/0.47 % Source : [Bro09]
% 0.26/0.47 % Names : tps_0018 [Bro09]
% 0.26/0.47 % : THM114 [TPS]
% 0.26/0.47
% 0.26/0.47 % Status : Theorem
% 0.26/0.47 % Rating : 0.00 v6.2.0, 0.17 v6.1.0, 0.00 v4.0.0
% 0.26/0.47 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.26/0.47 % Number of atoms : 4 ( 0 equ; 0 cnn)
% 0.26/0.47 % Maximal formula atoms : 4 ( 4 avg)
% 0.26/0.47 % Number of connectives : 3 ( 0 ~; 0 |; 1 &; 0 @)
% 0.26/0.47 % ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% 0.26/0.47 % Maximal formula depth : 4 ( 4 avg)
% 0.26/0.47 % Number of types : 1 ( 0 usr)
% 0.26/0.47 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.26/0.47 % Number of symbols : 2 ( 2 usr; 2 con; 0-0 aty)
% 0.26/0.47 % Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% 0.26/0.47 % SPC : TH0_THM_NEQ_NAR
% 0.26/0.47
% 0.26/0.47 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.26/0.47 % project in the Department of Mathematical Sciences at Carnegie
% 0.26/0.47 % Mellon University. Distributed under the Creative Commons copyleft
% 0.26/0.47 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.26/0.47 %------------------------------------------------------------------------------
% 0.26/0.47 thf(cQ,type,
% 0.26/0.47 cQ: $o ).
% 0.26/0.47
% 0.26/0.47 thf(cP,type,
% 0.26/0.47 cP: $o ).
% 0.26/0.47
% 0.26/0.47 thf(cTHM114,conjecture,
% 0.26/0.47 ( ( cP
% 0.26/0.47 & ( cP
% 0.26/0.47 => cQ ) )
% 0.26/0.47 => cQ ) ).
% 0.26/0.47
% 0.26/0.47 %------------------------------------------------------------------------------
% 0.26/0.47 ------------------------
% 1.60/1.33 ---- Embedded in THF ---
% 1.60/1.33 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.60/1.33 %%% Generated on Tue Feb 24 14:22:27 EST 2026
% 1.60/1.33 %%% using '$$dhol' embedding, version 1.3.0.
% 1.60/1.33 %%% Logic specification used:
% 1.60/1.33 %%% thf(spec, logic, $$dhol).
% 1.60/1.33
% 1.60/1.33 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.4Namb2pglT/DTF2DTF13269.p
% See solution above
% 1.60/1.33 ------------------------
% 1.60/1.35 ---- Cleaned THF ---
% 1.60/1.35 thf(cQ,type,
% 1.60/1.35 cQ: $o ).
% 1.60/1.35
% 1.60/1.35 thf(cP,type,
% 1.60/1.35 cP: $o ).
% 1.60/1.35
% 1.60/1.35 thf(cTHM114,conjecture,
% 1.60/1.35 ( ( cP
% 1.60/1.35 & ( cP
% 1.60/1.35 => cQ ) )
% 1.60/1.35 => cQ ) ).
% 1.60/1.35 ------------------------
% 1.60/1.36 % (13556)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_13269 for (3000ds/183Mi)
% 1.60/1.36 % (13556)First to succeed.
% 1.60/1.36 % (13556)Refutation found. Thanks to Tanya!
% 1.60/1.36 % SZS status Theorem for DTF2THF_13269
% 1.60/1.36 % SZS output start Proof for DTF2THF_13269
% 1.60/1.36 tff(f14,plain,(
% 1.60/1.36 $false),
% 1.60/1.36 inference(subsumption_resolution,[status(thm)],[f13,f9])).
% 1.60/1.36 tff(f9,plain,(
% 1.60/1.36 (cQ != $true)),
% 1.60/1.36 inference(cnf_transformation,[status(thm)],[f8])).
% 1.60/1.36 tff(f8,plain,(
% 1.60/1.36 (cP = $true) & ((cQ = $true) | (cP != $true)) & (cQ != $true)),
% 1.60/1.36 inference(flattening,[status(thm)],[f7])).
% 1.60/1.36 tff(f7,plain,(
% 1.60/1.36 (cQ != $true) & (((cQ = $true) | (cP != $true)) & (cP = $true))),
% 1.60/1.36 inference(ennf_transformation,[status(thm)],[f6])).
% 1.60/1.36 tff(f6,plain,(
% 1.60/1.36 ~((((cP = $true) => (cQ = $true)) & (cP = $true)) => (cQ = $true))),
% 1.60/1.36 inference(fool_elimination,[status(thm)],[f5])).
% 1.60/1.36 tff(f5,plain,(
% 1.60/1.36 ~(((cP => cQ) & cP) => cQ)),
% 1.60/1.36 inference(rectify,[status(thm)],[f2])).
% 1.60/1.36 tff(f2,negated_conjecture,(
% 1.60/1.36 ~(((cP => cQ) & cP) => cQ)),
% 1.60/1.36 inference(negated_conjecture,[status(cth)],[f1])).
% 1.60/1.36 tff(f1,conjecture,(
% 1.60/1.36 ((cP => cQ) & cP) => cQ),
% 1.60/1.36 file('/export/starexec/sandbox/tmp/tmp.4Namb2pglT/DTF2THF_13269.p',cTHM114)).
% 1.60/1.36 tff(f13,plain,(
% 1.60/1.36 (cQ = $true)),
% 1.60/1.36 inference(trivial_inequality_removal,[status(thm)],[f12])).
% 1.60/1.36 tff(f12,plain,(
% 1.60/1.36 ($true != $true) | (cQ = $true)),
% 1.60/1.36 inference(definition_unfolding,[status(thm)],[f10,f11])).
% 1.60/1.36 tff(f11,plain,(
% 1.60/1.36 (cP = $true)),
% 1.60/1.36 inference(cnf_transformation,[status(thm)],[f8])).
% 1.60/1.36 tff(f10,plain,(
% 1.60/1.36 (cQ = $true) | (cP != $true)),
% 1.60/1.36 inference(cnf_transformation,[status(thm)],[f8])).
% 1.60/1.36 % SZS output end Proof for DTF2THF_13269
% 1.60/1.36 % (13556)------------------------------
% 1.60/1.36 % (13556)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.60/1.36 % (13556)Termination reason: Refutation
% 1.60/1.36
% 1.60/1.36 % (13556)Memory used [KB]: 5373
% 1.60/1.36 % (13556)Time elapsed: 0.002 s
% 1.60/1.36 % (13556)Instructions burned: 1 (million)
% 1.60/1.36 % (13556)------------------------------
% 1.60/1.36 % (13556)------------------------------
% 1.60/1.36 % (13555)Success in time 0.013 s
%------------------------------------------------------------------------------