%------------------------------------------------------------------------------
% File : DT2H2X---1.9.5
% Problem : SEV285^5 : 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 : 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 09:40:45 AM UTC 2026
% Result : Theorem 1.81s 1.52s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 17 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 34 ( 8 ~; 0 |; 5 &; 18 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 12 !; 6 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
a: $tType ).
thf(type_def_6,type,
b: $tType ).
thf(func_def_0,type,
a: $tType ).
thf(func_def_1,type,
b: $tType ).
thf(func_def_5,type,
sK0: a > b ).
thf(func_def_6,type,
sK1: a > b ).
thf(func_def_8,type,
ph3:
!>[X0: $tType] : X0 ).
thf(func_def_9,type,
sK4: a ).
thf(f11,plain,
$false,
inference(subsumption_resolution,[status(thm)],[f10,f9]) ).
thf(f9,plain,
! [X2: a] :
( ( sK1 @ X2 )
= ( sK0 @ X2 ) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
thf(f7,plain,
( ! [X2: a] :
( ( sK1 @ X2 )
= ( sK0 @ X2 ) )
& ( sK0 != sK1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f6]) ).
thf(f6,plain,
( ? [X0: a > b,X1: a > b] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
& ( X0 != X1 ) )
=> ( ! [X2: a] :
( ( sK1 @ X2 )
= ( sK0 @ X2 ) )
& ( sK0 != sK1 ) ) ),
introduced(definition,[],[choice_axiom]) ).
thf(f5,plain,
? [X0: a > b,X1: a > b] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
& ( X0 != X1 ) ),
inference(rectify,[status(thm)],[f4]) ).
thf(f4,plain,
? [X1: a > b,X0: a > b] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
& ( X0 != X1 ) ),
inference(ennf_transformation,[status(thm)],[f2]) ).
thf(f2,negated_conjecture,
~ ! [X0: a > b,X1: a > b] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
=> ( X0 = X1 ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
thf(f1,conjecture,
! [X0: a > b,X1: a > b] :
( ! [X2: a] :
( ( X0 @ X2 )
= ( X1 @ X2 ) )
=> ( X0 = X1 ) ),
file('/export/starexec/sandbox/tmp/tmp.Ve9fHHStOj/DTF2THF_11189.p',cEE_eq_) ).
thf(f10,plain,
( ( sK1 @ sK4 )
!= ( sK0 @ sK4 ) ),
inference(negative_extensionality,[status(thm)],[f8]) ).
thf(f8,plain,
sK0 != sK1,
inference(cnf_transformation,[status(thm)],[f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEV285^5 : 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
% 0.15/0.33 % Computer : n013.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 12:42:53 EST 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.34 Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.19/0.47 ---- Original DTF file ---
% 0.19/0.47 thf(spec,logic,$$dhol).
% 0.19/0.47 %------------------------------------------------------------------------------
% 0.19/0.47 % File : SEV285^5 : TPTP v9.2.1. Released v4.0.0.
% 0.19/0.47 % Domain : Set Theory
% 0.19/0.47 % Problem : TPS problem from TTTP-NATS-THMS
% 0.19/0.47 % Version : Especial.
% 0.19/0.47 % English :
% 0.19/0.47
% 0.19/0.47 % Refs : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% 0.19/0.47 % Source : [Bro09]
% 0.19/0.47 % Names : tps_0087 [Bro09]
% 0.19/0.47
% 0.19/0.47 % Status : Theorem
% 0.19/0.47 % Rating : 0.00 v8.2.0, 0.08 v8.1.0, 0.09 v7.5.0, 0.00 v6.2.0, 0.29 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.17 v5.4.0, 0.40 v4.1.0, 0.33 v4.0.0
% 0.19/0.47 % Syntax : Number of formulae : 3 ( 0 unt; 2 typ; 0 def)
% 0.19/0.47 % Number of atoms : 2 ( 2 equ; 0 cnn)
% 0.19/0.47 % Maximal formula atoms : 2 ( 2 avg)
% 0.19/0.47 % Number of connectives : 3 ( 0 ~; 0 |; 0 &; 2 @)
% 0.19/0.47 % ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% 0.19/0.47 % Maximal formula depth : 5 ( 5 avg)
% 0.19/0.47 % Number of types : 2 ( 2 usr)
% 0.19/0.47 % Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% 0.19/0.47 % Number of symbols : 1 ( 0 usr; 0 con; 2-2 aty)
% 0.19/0.47 % Number of variables : 3 ( 0 ^; 3 !; 0 ?; 3 :)
% 0.19/0.47 % SPC : TH0_THM_EQU_NAR
% 0.19/0.47
% 0.19/0.47 % Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
% 0.19/0.47 % project in the Department of Mathematical Sciences at Carnegie
% 0.19/0.47 % Mellon University. Distributed under the Creative Commons copyleft
% 0.19/0.47 % license: http://creativecommons.org/licenses/by-sa/3.0/
% 0.19/0.47 %------------------------------------------------------------------------------
% 0.19/0.47 thf(a_type,type,
% 0.19/0.47 a: $tType ).
% 0.19/0.47
% 0.19/0.47 thf(b_type,type,
% 0.19/0.47 b: $tType ).
% 0.19/0.47
% 0.19/0.47 thf(cEE_eq_,conjecture,
% 0.19/0.47 ! [F: a > b,G: a > b] :
% 0.19/0.47 ( ! [A: a] :
% 0.19/0.47 ( ( F @ A )
% 0.19/0.47 = ( G @ A ) )
% 0.19/0.47 => ( F = G ) ) ).
% 0.19/0.47
% 0.19/0.47 %------------------------------------------------------------------------------
% 0.19/0.47 ------------------------
% 1.61/1.48 ---- Embedded in THF ---
% 1.61/1.48 %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.61/1.48 %%% Generated on Tue Feb 24 12:42:54 EST 2026
% 1.61/1.48 %%% using '$$dhol' embedding, version 1.3.0.
% 1.61/1.48 %%% Logic specification used:
% 1.61/1.48 %%% thf(spec, logic, $$dhol).
% 1.61/1.48
% 1.61/1.48 % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.Ve9fHHStOj/DTF2DTF11189.p
% See solution above
% 1.61/1.48 ------------------------
% 1.61/1.49 ---- Cleaned THF ---
% 1.61/1.49 thf(a_type,type,
% 1.61/1.49 a: $tType ).
% 1.61/1.49
% 1.61/1.49 thf(b_type,type,
% 1.61/1.49 b: $tType ).
% 1.61/1.49
% 1.61/1.49 thf(cEE_eq_,conjecture,
% 1.61/1.49 ! [F: a > b,G: a > b] :
% 1.61/1.49 ( ! [A: a] :
% 1.61/1.49 ( ( F @ A )
% 1.61/1.49 = ( G @ A ) )
% 1.61/1.49 => ( F = G ) ) ).
% 1.61/1.49 ------------------------
% 1.81/1.51 % (11289)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_11189 for (3000ds/2Mi)
% 1.81/1.51 % (11288)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_11189 for (3000ds/27Mi)
% 1.81/1.51 % (11287)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_11189 for (3000ds/4Mi)
% 1.81/1.51 % (11286)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_11189 for (3000ds/183Mi)
% 1.81/1.51 % (11290)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_11189 for (3000ds/2Mi)
% 1.81/1.51 % (11291)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_11189 for (3000ds/275Mi)
% 1.81/1.51 % (11292)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_11189 for (3000ds/18Mi)
% 1.81/1.52 % (11290)Instruction limit reached!
% 1.81/1.52 % (11290)------------------------------
% 1.81/1.52 % (11290)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.52 % (11290)Termination reason: Unknown
% 1.81/1.52 % (11290)Termination phase: Saturation
% 1.81/1.52
% 1.81/1.52 % (11290)Memory used [KB]: 5373
% 1.81/1.52 % (11290)Time elapsed: 0.003 s
% 1.81/1.52 % (11291)First to succeed.
% 1.81/1.52 % (11290)Instructions burned: 2 (million)
% 1.81/1.52 % (11290)------------------------------
% 1.81/1.52 % (11290)------------------------------
% 1.81/1.52 % (11289)Also succeeded, but the first one will report.
% 1.81/1.52 % (11287)Also succeeded, but the first one will report.
% 1.81/1.52 % (11291)Refutation found. Thanks to Tanya!
% 1.81/1.52 % SZS status Theorem for DTF2THF_11189
% 1.81/1.52 % SZS output start Proof for DTF2THF_11189
% 1.81/1.52 thf(type_def_5, type, a: $tType).
% 1.81/1.52 thf(type_def_6, type, b: $tType).
% 1.81/1.52 thf(func_def_0, type, a: $tType).
% 1.81/1.52 thf(func_def_1, type, b: $tType).
% 1.81/1.52 thf(func_def_5, type, sK0: a > b).
% 1.81/1.52 thf(func_def_6, type, sK1: a > b).
% 1.81/1.52 thf(func_def_8, type, ph3: !>[X0: $tType]:(X0)).
% 1.81/1.52 thf(func_def_9, type, sK4: a).
% 1.81/1.52 thf(f11,plain,(
% 1.81/1.52 $false),
% 1.81/1.52 inference(subsumption_resolution,[status(thm)],[f10,f9])).
% 1.81/1.52 thf(f9,plain,(
% 1.81/1.52 ( ! [X2 : a] : (((sK1 @ X2) = (sK0 @ X2))) )),
% 1.81/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.81/1.52 thf(f7,plain,(
% 1.81/1.52 ! [X2 : a] : ((sK1 @ X2) = (sK0 @ X2)) & (sK0 != sK1)),
% 1.81/1.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f5,f6])).
% 1.81/1.52 thf(f6,plain,(
% 1.81/1.52 ? [X0 : a > b,X1 : a > b] : (! [X2 : a] : ((X0 @ X2) = (X1 @ X2)) & (X0 != X1)) => (! [X2 : a] : ((sK1 @ X2) = (sK0 @ X2)) & (sK0 != sK1))),
% 1.81/1.52 introduced(definition,[],[choice_axiom])).
% 1.81/1.52 thf(f5,plain,(
% 1.81/1.52 ? [X0 : a > b,X1 : a > b] : (! [X2 : a] : ((X0 @ X2) = (X1 @ X2)) & (X0 != X1))),
% 1.81/1.52 inference(rectify,[status(thm)],[f4])).
% 1.81/1.52 thf(f4,plain,(
% 1.81/1.52 ? [X1 : a > b,X0 : a > b] : (! [X2 : a] : ((X0 @ X2) = (X1 @ X2)) & (X0 != X1))),
% 1.81/1.52 inference(ennf_transformation,[status(thm)],[f2])).
% 1.81/1.52 thf(f2,negated_conjecture,(
% 1.81/1.52 ~! [X0 : a > b,X1 : a > b] : (! [X2 : a] : ((X0 @ X2) = (X1 @ X2)) => (X0 = X1))),
% 1.81/1.52 inference(negated_conjecture,[status(cth)],[f1])).
% 1.81/1.52 thf(f1,conjecture,(
% 1.81/1.52 ! [X0 : a > b,X1 : a > b] : (! [X2 : a] : ((X0 @ X2) = (X1 @ X2)) => (X0 = X1))),
% 1.81/1.52 file('/export/starexec/sandbox/tmp/tmp.Ve9fHHStOj/DTF2THF_11189.p',cEE_eq_)).
% 1.81/1.52 thf(f10,plain,(
% 1.81/1.52 ((sK1 @ sK4) != (sK0 @ sK4))),
% 1.81/1.52 inference(negative_extensionality,[status(thm)],[f8])).
% 1.81/1.52 thf(f8,plain,(
% 1.81/1.52 (sK0 != sK1)),
% 1.81/1.52 inference(cnf_transformation,[status(thm)],[f7])).
% 1.81/1.52 % SZS output end Proof for DTF2THF_11189
% 1.81/1.52 % (11291)------------------------------
% 1.81/1.52 % (11291)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.81/1.52 % (11291)Termination reason: Refutation
% 1.81/1.52
% 1.81/1.52 % (11291)Memory used [KB]: 5373
% 1.81/1.52 % (11291)Time elapsed: 0.003 s
% 1.81/1.52 % (11291)Instructions burned: 1 (million)
% 1.81/1.52 % (11291)------------------------------
% 1.81/1.52 % (11291)------------------------------
% 1.81/1.52 % (11285)Success in time 0.016 s
%------------------------------------------------------------------------------