%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SYO215^5 : 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 : 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 09:53:41 AM UTC 2026
% Result : Theorem 1.48s 1.29s
% Output : Refutation 1.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO215^5 : 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
% 0.16/0.33 % Computer : n017.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue Feb 24 14:24:41 EST 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.33 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 : SYO215^5 : TPTP v9.2.1. Released v4.0.0.
% 0.18/0.45 % Domain : Syntactic
% 0.18/0.45 % Problem : TPS problem THM26
% 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_0093 [Bro09]
% 0.18/0.45 % : THM26 [TPS]
% 0.18/0.45
% 0.18/0.45 % Status : Theorem
% 0.18/0.45 % Rating : 0.00 v9.0.0, 0.10 v8.2.0, 0.00 v7.4.0, 0.11 v7.2.0, 0.00 v7.1.0, 0.12 v7.0.0, 0.14 v6.4.0, 0.17 v6.3.0, 0.20 v6.2.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.20 v4.1.0, 0.00 v4.0.0
% 0.18/0.45 % Syntax : Number of formulae : 1 ( 0 unt; 0 typ; 0 def)
% 0.18/0.45 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.18/0.45 % Maximal formula atoms : 2 ( 2 avg)
% 0.18/0.45 % Number of connectives : 3 ( 2 ~; 0 |; 0 &; 0 @)
% 0.18/0.45 % ( 0 <=>; 1 =>; 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 : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.18/0.45 % Number of variables : 4 ( 0 ^; 1 !; 3 ?; 4 :)
% 0.18/0.45 % SPC : TH0_THM_EQU_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(cTHM26,conjecture,
% 0.18/0.45 ( ? [X: $i,Y: $i] : ( X != Y )
% 0.18/0.45 => ! [U: $i] :
% 0.18/0.45 ? [Z: $i] : ( Z != U ) ) ).
% 0.18/0.45
% 0.18/0.45 %------------------------------------------------------------------------------
% 0.18/0.45 ------------------------
% 1.48/1.26 ---- Embedded in THF ---
% 1.48/1.26 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.48/1.26 %%% Generated on Tue Feb 24 14:24:41 EST 2026
% 1.48/1.26 %%% using '$$dhol' embedding, version 1.3.0.
% 1.48/1.26 %%% Logic specification used:
% 1.48/1.26 %%% thf(spec, logic, $$dhol).
% 1.48/1.26
% 1.48/1.26 % SZS output start ListOfTHF for /export/starexec/sandbox2/tmp/tmp.gg7N5jJpMv/DTF2DTF22876.p
% 1.48/1.26 thf(cTHM26, conjecture, ((? [X:$i,Y:$i]: ((X != Y))) => (! [U:$i]: ((? [Z:$i]: ((Z != U))))))).
% 1.48/1.26 % SZS output end ListOfTHF for /export/starexec/sandbox2/tmp/tmp.gg7N5jJpMv/DTF2DTF22876.p
% 1.48/1.26 ------------------------
% 1.48/1.27 ---- Cleaned THF ---
% 1.48/1.27 thf(cTHM26,conjecture,
% 1.48/1.27 ( ? [X: $i,Y: $i] : ( X != Y )
% 1.48/1.27 => ! [U: $i] :
% 1.48/1.27 ? [Z: $i] : ( Z != U ) ) ).
% 1.48/1.27 ------------------------
% 1.48/1.29 % (23098)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_22876 for (3000ds/275Mi)
% 1.48/1.29 % (23097)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_22876 for (3000ds/2Mi)
% 1.48/1.29 % (23098)First to succeed.
% 1.48/1.29 % (23097)Also succeeded, but the first one will report.
% 1.48/1.29 % (23098)Refutation found. Thanks to Tanya!
% 1.48/1.29 % SZS status Theorem for DTF2THF_22876
% 1.48/1.29 % SZS output start Proof for DTF2THF_22876
% 1.48/1.29 fof(f12,plain,(
% 1.48/1.29 $false),
% 1.48/1.29 inference(subsumption_resolution,[status(thm)],[f11,f9])).
% 1.48/1.29 fof(f9,plain,(
% 1.48/1.29 ( ! [X1] : (sK0 = X1) )),
% 1.48/1.29 inference(cnf_transformation,[status(thm)],[f7])).
% 1.48/1.29 fof(f7,plain,(
% 1.48/1.29 ! [X1 : $i] : sK0 = X1 & sK2 != sK1),
% 1.48/1.29 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f4,f6,f5])).
% 1.48/1.29 fof(f5,plain,(
% 1.48/1.29 ? [X0 : $i] : ! [X1 : $i] : X0 = X1 => ! [X1 : $i] : sK0 = X1),
% 1.48/1.29 introduced(definition,[],[choice_axiom])).
% 1.48/1.29 fof(f6,plain,(
% 1.48/1.29 ? [X2 : $i,X3 : $i] : X2 != X3 => sK2 != sK1),
% 1.48/1.29 introduced(definition,[],[choice_axiom])).
% 1.48/1.29 fof(f4,plain,(
% 1.48/1.29 ? [X0 : $i] : ! [X1 : $i] : X0 = X1 & ? [X2 : $i,X3 : $i] : X2 != X3),
% 1.48/1.29 inference(rectify,[status(thm)],[f3])).
% 1.48/1.29 fof(f3,plain,(
% 1.48/1.29 ? [X2 : $i] : ! [X3 : $i] : X2 = X3 & ? [X0 : $i,X1 : $i] : X0 != X1),
% 1.48/1.29 inference(ennf_transformation,[status(thm)],[f2])).
% 1.48/1.29 fof(f2,negated_conjecture,(
% 1.48/1.29 ~(? [X0 : $i,X1 : $i] : X0 != X1 => ! [X2 : $i] : ? [X3 : $i] : X2 != X3)),
% 1.48/1.29 inference(negated_conjecture,[status(cth)],[f1])).
% 1.48/1.29 fof(f1,conjecture,(
% 1.48/1.29 ? [X0 : $i,X1 : $i] : X0 != X1 => ! [X2 : $i] : ? [X3 : $i] : X2 != X3),
% 1.48/1.29 file('/export/starexec/sandbox2/tmp/tmp.gg7N5jJpMv/DTF2THF_22876.p',cTHM26)).
% 1.48/1.29 fof(f11,plain,(
% 1.48/1.29 sK0 != sK1),
% 1.48/1.29 inference(superposition,[status(thm)],[f8,f9])).
% 1.48/1.29 fof(f8,plain,(
% 1.48/1.29 sK2 != sK1),
% 1.48/1.29 inference(cnf_transformation,[status(thm)],[f7])).
% 1.48/1.29 % SZS output end Proof for DTF2THF_22876
% 1.48/1.29 % (23098)------------------------------
% 1.48/1.29 % (23098)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.48/1.29 % (23098)Termination reason: Refutation
% 1.48/1.29
% 1.48/1.29 % (23098)Memory used [KB]: 5373
% 1.48/1.29 % (23098)Time elapsed: 0.002 s
% 1.48/1.29 % (23098)Instructions burned: 1 (million)
% 1.48/1.29 % (23098)------------------------------
% 1.48/1.29 % (23098)------------------------------
% 1.48/1.29 % (23092)Success in time 0.011 s
%------------------------------------------------------------------------------