%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV079^5 : 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 : n013.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 09:40:14 AM UTC 2026
% Result : Theorem 1.63s 1.31s
% Output : Refutation 1.63s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV079^5 : TPTP v9.2.1. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.16/0.34 % Computer : n013.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Feb 24 12:39:38 EST 2026
% 0.16/0.34 % CPUTime :
% 0.16/0.34 Running /export/starexec/sandbox2/solver/bin/run_DT2H2X /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.31/0.46 ---- Original DTF file ---
% 0.31/0.46 thf(spec,logic,$$dhol).
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 % File : SEV079^5 : TPTP v9.2.1. Released v4.0.0.
% 0.31/0.46 % Domain : Set Theory (Relations)
% 0.31/0.46 % Problem : TPS problem from RELN-THMS
% 0.31/0.46 % Version : Especial.
% 0.31/0.46 % English :
% 0.31/0.46
% 0.31/0.46 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.31/0.46 % Source : [Bro09]
% 0.31/0.46 % Names : tps_0734 [Bro09]
% 0.31/0.46 % : tps_0094 [Bro09]
% 0.31/0.46
% 0.31/0.46 % Status : Theorem
% 0.31/0.46 % Rating : 0.00 v6.2.0, 0.14 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.0
% 0.31/0.46 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.31/0.46 % Number of atoms : 3 ( 3 equ; 0 cnn)
% 0.31/0.46 % Maximal formula atoms : 3 ( 3 avg)
% 0.31/0.46 % Number of connectives : 2 ( 0 ~; 0 |; 1 &; 0 @)
% 0.31/0.46 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.31/0.46 % Maximal formula depth : 6 ( 6 avg)
% 0.31/0.46 % Number of types : 1 ( 0 usr)
% 0.31/0.46 % Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 0.31/0.46 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.31/0.46 % Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% 0.31/0.46 % SPC : TH0_THM_EQU_NAR
% 0.31/0.46
% 0.31/0.46 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.31/0.46 % project in the Department of Mathematical Sciences at Carnegie
% 0.31/0.46 % Mellon University. Distributed under the Creative Commons copyleft
% 0.31/0.46 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 thf(cTRANS_ID_pme,conjecture,
% 0.31/0.46 ! [X: $i,Y: $i,Z: $i] :
% 0.31/0.46 ( ( ( X = Y )
% 0.31/0.46 & ( Y = Z ) )
% 0.31/0.46 => ( X = Z ) ) ).
% 0.31/0.46
% 0.31/0.46 %------------------------------------------------------------------------------
% 0.31/0.46 ------------------------
% 1.44/1.29 ---- Embedded in THF ---
% 1.44/1.29 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.44/1.29 %%% Generated on Tue Feb 24 12:39:39 EST 2026
% 1.44/1.29 %%% using '$$dhol' embedding, version 1.3.0.
% 1.44/1.29 %%% Logic specification used:
% 1.44/1.29 %%% thf(spec, logic, $$dhol).
% 1.44/1.29
% 1.44/1.29 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.UyJLNHwTU9/DTF2DTF31317.p
% 1.44/1.29 thf(cTRANS_ID_pme, conjecture, (! [X:$i,Y:$i,Z:$i]: ((((X = Y) & (Y = Z)) => (X = Z))))).
% 1.44/1.29 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.UyJLNHwTU9/DTF2DTF31317.p
% 1.44/1.29 ------------------------
% 1.44/1.30 ---- Cleaned THF ---
% 1.63/1.30 thf(cTRANS_ID_pme,conjecture,
% 1.63/1.30 ! [X: $i,Y: $i,Z: $i] :
% 1.63/1.30 ( ( ( X = Y )
% 1.63/1.30 & ( Y = Z ) )
% 1.63/1.30 => ( X = Z ) ) ).
% 1.63/1.30 ------------------------
% 1.63/1.31 % (31499)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_31317 for (3000ds/183Mi)
% 1.63/1.31 % (31499)First to succeed.
% 1.63/1.31 % (31499)Refutation found. Thanks to Tanya!
% 1.63/1.31 % SZS status Theorem for DTF2THF_31317
% 1.63/1.31 % SZS output start Proof for DTF2THF_31317
% 1.63/1.31 fof(f13,plain,(
% 1.63/1.31 $false),
% 1.63/1.31 inference(trivial_inequality_removal,[status(thm)],[f12])).
% 1.63/1.31 fof(f12,plain,(
% 1.63/1.31 sK0 != sK0),
% 1.63/1.31 inference(definition_unfolding,[status(thm)],[f11,f10,f9])).
% 1.63/1.31 fof(f9,plain,(
% 1.63/1.31 sK1 = sK0),
% 1.63/1.31 inference(cnf_transformation,[status(thm)],[f8])).
% 1.63/1.31 fof(f8,plain,(
% 1.63/1.31 sK2 != sK1 & sK2 = sK0 & sK1 = sK0),
% 1.63/1.31 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f7])).
% 1.63/1.31 fof(f7,plain,(
% 1.63/1.31 ? [X0 : $i,X1 : $i,X2 : $i] : (X1 != X2 & X0 = X2 & X0 = X1) => (sK2 != sK1 & sK2 = sK0 & sK1 = sK0)),
% 1.63/1.31 introduced(definition,[],[choice_axiom])).
% 1.63/1.31 fof(f6,plain,(
% 1.63/1.31 ? [X0 : $i,X1 : $i,X2 : $i] : (X1 != X2 & X0 = X2 & X0 = X1)),
% 1.63/1.31 inference(rectify,[status(thm)],[f5])).
% 1.63/1.31 fof(f5,plain,(
% 1.63/1.31 ? [X0 : $i,X2 : $i,X1 : $i] : (X1 != X2 & X0 = X1 & X0 = X2)),
% 1.63/1.31 inference(flattening,[status(thm)],[f4])).
% 1.63/1.31 fof(f4,plain,(
% 1.63/1.31 ? [X1 : $i,X0 : $i,X2 : $i] : (X1 != X2 & (X0 = X1 & X0 = X2))),
% 1.63/1.31 inference(ennf_transformation,[status(thm)],[f3])).
% 1.63/1.31 fof(f3,plain,(
% 1.63/1.31 ~! [X1 : $i,X0 : $i,X2 : $i] : ((X0 = X1 & X0 = X2) => X1 = X2)),
% 1.63/1.31 inference(rectify,[status(thm)],[f2])).
% 1.63/1.31 fof(f2,negated_conjecture,(
% 1.63/1.31 ~! [X1 : $i,X0 : $i,X2 : $i] : ((X1 = X2 & X0 = X1) => X0 = X2)),
% 1.63/1.31 inference(negated_conjecture,[status(cth)],[f1])).
% 1.63/1.31 fof(f1,conjecture,(
% 1.63/1.31 ! [X1 : $i,X0 : $i,X2 : $i] : ((X1 = X2 & X0 = X1) => X0 = X2)),
% 1.63/1.31 file('/export/starexec/sandbox2/tmp/tmp.UyJLNHwTU9/DTF2THF_31317.p',cTRANS_ID_pme)).
% 1.63/1.31 fof(f10,plain,(
% 1.63/1.31 sK2 = sK0),
% 1.63/1.31 inference(cnf_transformation,[status(thm)],[f8])).
% 1.63/1.31 fof(f11,plain,(
% 1.63/1.31 sK2 != sK1),
% 1.63/1.31 inference(cnf_transformation,[status(thm)],[f8])).
% 1.63/1.31 % SZS output end Proof for DTF2THF_31317
% 1.63/1.31 % (31499)------------------------------
% 1.63/1.31 % (31499)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.63/1.31 % (31499)Termination reason: Refutation
% 1.63/1.31
% 1.63/1.31 % (31499)Memory used [KB]: 5373
% 1.63/1.31 % (31499)Time elapsed: 0.002 s
% 1.63/1.31 % (31499)------------------------------
% 1.63/1.31 % (31499)------------------------------
% 1.63/1.31 % (31498)Success in time 0.012 s
%------------------------------------------------------------------------------