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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : DAT315^1 : TPTP v9.2.1. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n031.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 08:45:26 AM UTC 2026

% Result   : Theorem 1.36s 1.13s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : DAT315^1 : TPTP v9.2.1. Released v7.0.0.
% 0.00/0.11  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.12/0.31  % Computer : n031.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit : 300
% 0.12/0.31  % WCLimit  : 300
% 0.12/0.31  % DateTime : Tue Feb 24 06:14:33 EST 2026
% 0.12/0.31  % CPUTime  : 
% 0.12/0.31  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.41  ---- Original DTF file ---
% 0.18/0.41  thf(spec,logic,$$dhol).
% 0.18/0.41  %------------------------------------------------------------------------------
% 0.18/0.41  % File     : DAT315^1 : TPTP v9.2.1. Released v7.0.0.
% 0.18/0.41  % Domain   : Analysis
% 0.18/0.41  % Problem  : EL_TL
% 0.18/0.41  % Version  : Especial.
% 0.18/0.41  % English  :
% 0.18/0.41  
% 0.18/0.41  % Refs     : [Kal16] Kalisyk (2016), Email to Geoff Sutcliffe
% 0.18/0.41  % Source   : [Kal16]
% 0.18/0.41  % Names    : EL_TL_.p [Kal16]
% 0.18/0.41  
% 0.18/0.41  % Status   : Theorem
% 0.18/0.41  % Rating   : 0.00 v7.1.0
% 0.18/0.41  % Syntax   : Number of formulae    :   12 (   3 unt;   9 typ;   0 def)
% 0.18/0.41  %            Number of atoms       :    3 (   3 equ;   0 cnn)
% 0.18/0.41  %            Maximal formula atoms :    1 (   1 avg)
% 0.18/0.41  %            Number of connectives :   31 (   0   ~;   0   |;   0   &;  31   @)
% 0.18/0.41  %                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
% 0.18/0.41  %            Maximal formula depth :    4 (   3 avg)
% 0.18/0.41  %            Number of types       :    1 (   1 usr)
% 0.18/0.41  %            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
% 0.18/0.41  %            Number of symbols     :    9 (   8 usr;   1 con; 0-3 aty)
% 0.18/0.41  %            Number of variables   :    9 (   0   ^;   7   !;   0   ?;   9   :)
% 0.18/0.41  %                                         (   2  !>;   0  ?*;   0  @-;   0  @+)
% 0.18/0.41  % SPC      : TH1_THM_EQU_NAR
% 0.18/0.41  
% 0.18/0.41  % Comments : Exported from core HOL Light.
% 0.18/0.41  %------------------------------------------------------------------------------
% 0.18/0.41  thf('thf_type_type/nums/num',type,
% 0.18/0.41      'type/nums/num': $tType ).
% 0.18/0.41  
% 0.18/0.41  thf('thf_type_type/ind_types/list',type,
% 0.18/0.41      'type/ind_types/list': $tType > $tType ).
% 0.18/0.41  
% 0.18/0.41  thf('thf_const_const/nums/SUC',type,
% 0.18/0.41      'const/nums/SUC': 'type/nums/num' > 'type/nums/num' ).
% 0.18/0.41  
% 0.18/0.41  thf('thf_const_const/nums/NUMERAL',type,
% 0.18/0.41      'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
% 0.18/0.41  
% 0.18/0.41  thf('thf_const_const/nums/BIT1',type,
% 0.18/0.41      'const/nums/BIT1': 'type/nums/num' > 'type/nums/num' ).
% 0.18/0.41  
% 0.18/0.41  thf('thf_const_const/nums/_0',type,
% 0.18/0.41      'const/nums/_0': 'type/nums/num' ).
% 0.18/0.41  
% 0.18/0.41  thf('thf_const_const/lists/TL',type,
% 0.18/0.41      'const/lists/TL': 
% 0.18/0.41        !>[A: $tType] : ( ( 'type/ind_types/list' @ A ) > ( 'type/ind_types/list' @ A ) ) ).
% 0.18/0.41  
% 0.18/0.41  thf('thf_const_const/lists/EL',type,
% 0.18/0.41      'const/lists/EL': 
% 0.18/0.41        !>[A: $tType] : ( 'type/nums/num' > ( 'type/ind_types/list' @ A ) > A ) ).
% 0.18/0.41  
% 0.18/0.41  thf('thf_const_const/arith/+',type,
% 0.18/0.41      'const/arith/+': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ).
% 0.18/0.41  
% 0.18/0.41  thf('thm/lists/EL_1',axiom,
% 0.18/0.41      ! [A: $tType,A0: 'type/nums/num',A1: 'type/ind_types/list' @ A] :
% 0.18/0.41        ( ( 'const/lists/EL' @ A @ ( 'const/nums/SUC' @ A0 ) @ A1 )
% 0.18/0.41        = ( 'const/lists/EL' @ A @ A0 @ ( 'const/lists/TL' @ A @ A1 ) ) ) ).
% 0.18/0.41  
% 0.18/0.41  thf('thm/arith/ADD1_',axiom,
% 0.18/0.41      ! [A: 'type/nums/num'] :
% 0.18/0.41        ( ( 'const/nums/SUC' @ A )
% 0.18/0.41        = ( 'const/arith/+' @ A @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ).
% 0.18/0.41  
% 0.18/0.41  thf('thm/lists/EL_TL_',conjecture,
% 0.18/0.41      ! [A: $tType,A0: 'type/ind_types/list' @ A,A1: 'type/nums/num'] :
% 0.18/0.41        ( ( 'const/lists/EL' @ A @ A1 @ ( 'const/lists/TL' @ A @ A0 ) )
% 0.18/0.41        = ( 'const/lists/EL' @ A @ ( 'const/arith/+' @ A1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ A0 ) ) ).
% 0.18/0.41  
% 0.18/0.41  %------------------------------------------------------------------------------
% 0.18/0.41  ------------------------
% 1.17/1.10  ---- Embedded in THF ---
% 1.17/1.10  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.17/1.10  %%% Generated on Tue Feb 24 06:14:33 EST 2026
% 1.17/1.10  %%% using '$$dhol' embedding, version 1.3.0.
% 1.17/1.10  %%% Logic specification used:
% 1.17/1.10  %%% thf(spec, logic, $$dhol).
% 1.17/1.10  
% 1.17/1.10  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.Ie0qtQ1ANN/DTF2DTF24978.p
% 1.17/1.10  thf('thf_type_type/nums/num', type, 'type/nums/num': $tType).
% 1.17/1.10  thf('thf_type_type/ind_types/list', type, 'type/ind_types/list': ($tType > $tType)).
% 1.17/1.10  thf('thf_const_const/nums/SUC', type, 'const/nums/SUC': ('type/nums/num' > 'type/nums/num')).
% 1.17/1.10  thf('thf_const_const/nums/NUMERAL', type, 'const/nums/NUMERAL': ('type/nums/num' > 'type/nums/num')).
% 1.17/1.10  thf('thf_const_const/nums/BIT1', type, 'const/nums/BIT1': ('type/nums/num' > 'type/nums/num')).
% 1.17/1.10  thf('thf_const_const/nums/_0', type, 'const/nums/_0': 'type/nums/num').
% 1.17/1.10  thf('thf_const_const/lists/TL', type, 'const/lists/TL': (!> [A:$tType]: ((('type/ind_types/list' @ A) > ('type/ind_types/list' @ A))))).
% 1.17/1.10  thf('thf_const_const/lists/EL', type, 'const/lists/EL': (!> [A:$tType]: (('type/nums/num' > (('type/ind_types/list' @ A) > A))))).
% 1.17/1.10  thf('thf_const_const/arith/+', type, 'const/arith/+': ('type/nums/num' > ('type/nums/num' > 'type/nums/num'))).
% 1.17/1.10  thf('thm/lists/EL_1', axiom, (! [A:$tType,A0:'type/nums/num',A1:('type/ind_types/list' @ A)]: ((((('const/lists/EL' @ A) @ ('const/nums/SUC' @ A0)) @ A1) = ((('const/lists/EL' @ A) @ A0) @ (('const/lists/TL' @ A) @ A1)))))).
% 1.17/1.10  thf('thm/arith/ADD1_', axiom, (! [A:'type/nums/num']: ((('const/nums/SUC' @ A) = (('const/arith/+' @ A) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))))).
% 1.17/1.10  thf('thm/lists/EL_TL_', conjecture, (! [A:$tType,A0:('type/ind_types/list' @ A),A1:'type/nums/num']: ((((('const/lists/EL' @ A) @ A1) @ (('const/lists/TL' @ A) @ A0)) = ((('const/lists/EL' @ A) @ (('const/arith/+' @ A1) @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0')))) @ A0))))).
% 1.17/1.10  % SZS output end ListOfTHF for /export/starexec/sandbox/tmp/tmp.Ie0qtQ1ANN/DTF2DTF24978.p
% 1.17/1.10  ------------------------
% 1.17/1.11  ---- Cleaned THF ---
% 1.17/1.11  thf('thf_type_type/nums/num',type,
% 1.17/1.11      'type/nums/num': $tType ).
% 1.17/1.11  
% 1.17/1.11  thf('thf_type_type/ind_types/list',type,
% 1.17/1.11      'type/ind_types/list': $tType > $tType ).
% 1.17/1.11  
% 1.17/1.11  thf('thf_const_const/nums/SUC',type,
% 1.17/1.11      'const/nums/SUC': 'type/nums/num' > 'type/nums/num' ).
% 1.17/1.11  
% 1.17/1.11  thf('thf_const_const/nums/NUMERAL',type,
% 1.17/1.11      'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num' ).
% 1.17/1.11  
% 1.17/1.11  thf('thf_const_const/nums/BIT1',type,
% 1.17/1.11      'const/nums/BIT1': 'type/nums/num' > 'type/nums/num' ).
% 1.17/1.11  
% 1.17/1.11  thf('thf_const_const/nums/_0',type,
% 1.17/1.11      'const/nums/_0': 'type/nums/num' ).
% 1.17/1.11  
% 1.17/1.11  thf('thf_const_const/lists/TL',type,
% 1.17/1.11      'const/lists/TL': 
% 1.17/1.11        !>[A: $tType] : ( ( 'type/ind_types/list' @ A ) > ( 'type/ind_types/list' @ A ) ) ).
% 1.17/1.11  
% 1.17/1.11  thf('thf_const_const/lists/EL',type,
% 1.17/1.11      'const/lists/EL': 
% 1.17/1.11        !>[A: $tType] : ( 'type/nums/num' > ( 'type/ind_types/list' @ A ) > A ) ).
% 1.17/1.11  
% 1.17/1.11  thf('thf_const_const/arith/+',type,
% 1.17/1.11      'const/arith/+': 'type/nums/num' > 'type/nums/num' > 'type/nums/num' ).
% 1.17/1.11  
% 1.17/1.11  thf('thm/lists/EL_1',axiom,
% 1.17/1.11      ! [A: $tType,A0: 'type/nums/num',A1: 'type/ind_types/list' @ A] :
% 1.17/1.11        ( ( 'const/lists/EL' @ A @ ( 'const/nums/SUC' @ A0 ) @ A1 )
% 1.17/1.11        = ( 'const/lists/EL' @ A @ A0 @ ( 'const/lists/TL' @ A @ A1 ) ) ) ).
% 1.17/1.11  
% 1.17/1.11  thf('thm/arith/ADD1_',axiom,
% 1.17/1.11      ! [A: 'type/nums/num'] :
% 1.17/1.11        ( ( 'const/nums/SUC' @ A )
% 1.17/1.11        = ( 'const/arith/+' @ A @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) ) ).
% 1.17/1.11  
% 1.17/1.11  thf('thm/lists/EL_TL_',conjecture,
% 1.17/1.11      ! [A: $tType,A0: 'type/ind_types/list' @ A,A1: 'type/nums/num'] :
% 1.17/1.11        ( ( 'const/lists/EL' @ A @ A1 @ ( 'const/lists/TL' @ A @ A0 ) )
% 1.17/1.11        = ( 'const/lists/EL' @ A @ ( 'const/arith/+' @ A1 @ ( 'const/nums/NUMERAL' @ ( 'const/nums/BIT1' @ 'const/nums/_0' ) ) ) @ A0 ) ) ).
% 1.17/1.11  ------------------------
% 1.36/1.13  % (25080)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_24978 for (3000ds/275Mi)
% 1.36/1.13  % (25078)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_24978 for (3000ds/2Mi)
% 1.36/1.13  % (25076)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_24978 for (3000ds/4Mi)
% 1.36/1.13  % (25081)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_24978 for (3000ds/18Mi)
% 1.36/1.13  % (25077)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_24978 for (3000ds/27Mi)
% 1.36/1.13  % (25079)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_24978 for (3000ds/2Mi)
% 1.36/1.13  % (25075)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_24978 for (3000ds/183Mi)
% 1.36/1.13  % Exception at run slice level
% 1.36/1.13  User error: Vampire does not support full TH1. This benchmark is either outside of the TH1 fragment, or outside of the fragment supported by Vampire
% 1.36/1.13  % (25080)First to succeed.
% 1.36/1.13  % (25078)Instruction limit reached!
% 1.36/1.13  % (25078)------------------------------
% 1.36/1.13  % (25078)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.13  % (25078)Termination reason: Unknown
% 1.36/1.13  % (25078)Termination phase: Saturation
% 1.36/1.13  
% 1.36/1.13  % (25078)Memory used [KB]: 5500
% 1.36/1.13  % (25078)Time elapsed: 0.003 s
% 1.36/1.13  % (25078)Instructions burned: 3 (million)
% 1.36/1.13  % (25078)------------------------------
% 1.36/1.13  % (25078)------------------------------
% 1.36/1.13  % (25081)Also succeeded, but the first one will report.
% 1.36/1.13  % (25077)Also succeeded, but the first one will report.
% 1.36/1.13  % (25080)Refutation found. Thanks to Tanya!
% 1.36/1.13  % SZS status Theorem for DTF2THF_24978
% 1.36/1.13  % SZS output start Proof for DTF2THF_24978
% 1.36/1.13  thf(type_def_5, type, 'type/nums/num': $tType).
% 1.36/1.13  thf(type_def_7, type, 'type/ind_types/list': ($tType) > $tType).
% 1.36/1.13  thf(type_def_8, type, sK0: $tType).
% 1.36/1.13  thf(func_def_0, type, 'type/nums/num': $tType).
% 1.36/1.13  thf(func_def_1, type, 'type/ind_types/list': ($tType) > $tType).
% 1.36/1.13  thf(func_def_2, type, 'const/nums/SUC': 'type/nums/num' > 'type/nums/num').
% 1.36/1.13  thf(func_def_3, type, 'const/nums/NUMERAL': 'type/nums/num' > 'type/nums/num').
% 1.36/1.13  thf(func_def_4, type, 'const/nums/BIT1': 'type/nums/num' > 'type/nums/num').
% 1.36/1.13  thf(func_def_5, type, 'const/nums/_0': 'type/nums/num').
% 1.36/1.13  thf(func_def_6, type, 'const/lists/TL': !>[X0: $tType]:('type/ind_types/list' @ X0 > 'type/ind_types/list' @ X0)).
% 1.36/1.13  thf(func_def_7, type, 'const/lists/EL': !>[X0: $tType]:('type/nums/num' > 'type/ind_types/list' @ X0 > X0)).
% 1.36/1.13  thf(func_def_8, type, 'const/arith/+': 'type/nums/num' > 'type/nums/num' > 'type/nums/num').
% 1.36/1.13  thf(func_def_12, type, sK1: 'type/ind_types/list' @ sK0).
% 1.36/1.13  thf(func_def_13, type, sK2: 'type/nums/num').
% 1.36/1.13  thf(func_def_15, type, ph4: !>[X0: $tType]:(X0)).
% 1.36/1.13  thf(f13,plain,(
% 1.36/1.13    $false),
% 1.36/1.13    inference(subsumption_resolution,[status(thm)],[f12,f11])).
% 1.36/1.13  thf(f11,plain,(
% 1.36/1.13    ( ! [X0 : $tType,X2 : 'type/ind_types/list' @ X0,X1 : 'type/nums/num'] : ((('const/lists/EL' @ X0 @ ('const/nums/SUC' @ X1) @ X2) = ('const/lists/EL' @ X0 @ X1 @ ('const/lists/TL' @ X0 @ X2)))) )),
% 1.36/1.13    inference(cnf_transformation,[status(thm)],[f1])).
% 1.36/1.13  thf(f1,axiom,(
% 1.36/1.13    ! [X0 : $tType,X1 : 'type/nums/num',X2 : 'type/ind_types/list' @ X0] : (('const/lists/EL' @ X0 @ ('const/nums/SUC' @ X1) @ X2) = ('const/lists/EL' @ X0 @ X1 @ ('const/lists/TL' @ X0 @ X2)))),
% 1.36/1.13    file('/export/starexec/sandbox/tmp/tmp.Ie0qtQ1ANN/DTF2THF_24978.p','thm/lists/EL_1')).
% 1.36/1.13  thf(f12,plain,(
% 1.36/1.13    (('const/lists/EL' @ sK0 @ sK2 @ ('const/lists/TL' @ sK0 @ sK1)) != ('const/lists/EL' @ sK0 @ ('const/nums/SUC' @ sK2) @ sK1))),
% 1.36/1.13    inference(forward_demodulation,[status(thm)],[f9,f10])).
% 1.36/1.13  thf(f10,plain,(
% 1.36/1.13    ( ! [X0 : 'type/nums/num'] : ((('const/nums/SUC' @ X0) = ('const/arith/+' @ X0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))) )),
% 1.36/1.13    inference(cnf_transformation,[status(thm)],[f2])).
% 1.36/1.13  thf(f2,axiom,(
% 1.36/1.13    ! [X0 : 'type/nums/num'] : (('const/nums/SUC' @ X0) = ('const/arith/+' @ X0 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))))),
% 1.36/1.13    file('/export/starexec/sandbox/tmp/tmp.Ie0qtQ1ANN/DTF2THF_24978.p','thm/arith/ADD1_')).
% 1.36/1.13  thf(f9,plain,(
% 1.36/1.13    (('const/lists/EL' @ sK0 @ sK2 @ ('const/lists/TL' @ sK0 @ sK1)) != ('const/lists/EL' @ sK0 @ ('const/arith/+' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ sK1))),
% 1.36/1.13    inference(cnf_transformation,[status(thm)],[f8])).
% 1.36/1.13  thf(f8,plain,(
% 1.36/1.13    (('const/lists/EL' @ sK0 @ sK2 @ ('const/lists/TL' @ sK0 @ sK1)) != ('const/lists/EL' @ sK0 @ ('const/arith/+' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ sK1))),
% 1.36/1.13    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f6,f7])).
% 1.36/1.13  thf(f7,plain,(
% 1.36/1.13    ? [X0 : $tType,X1 : 'type/ind_types/list' @ X0,X2 : 'type/nums/num'] : (('const/lists/EL' @ X0 @ X2 @ ('const/lists/TL' @ X0 @ X1)) != ('const/lists/EL' @ X0 @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ X1)) => (('const/lists/EL' @ sK0 @ sK2 @ ('const/lists/TL' @ sK0 @ sK1)) != ('const/lists/EL' @ sK0 @ ('const/arith/+' @ sK2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ sK1))),
% 1.36/1.13    introduced(definition,[],[choice_axiom])).
% 1.36/1.13  thf(f6,plain,(
% 1.36/1.13    ? [X0 : $tType,X1 : 'type/ind_types/list' @ X0,X2 : 'type/nums/num'] : (('const/lists/EL' @ X0 @ X2 @ ('const/lists/TL' @ X0 @ X1)) != ('const/lists/EL' @ X0 @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ X1))),
% 1.36/1.13    inference(ennf_transformation,[status(thm)],[f4])).
% 1.36/1.13  thf(f4,negated_conjecture,(
% 1.36/1.13    ~! [X0 : $tType,X1 : 'type/ind_types/list' @ X0,X2 : 'type/nums/num'] : (('const/lists/EL' @ X0 @ X2 @ ('const/lists/TL' @ X0 @ X1)) = ('const/lists/EL' @ X0 @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ X1))),
% 1.36/1.13    inference(negated_conjecture,[status(cth)],[f3])).
% 1.36/1.13  thf(f3,conjecture,(
% 1.36/1.13    ! [X0 : $tType,X1 : 'type/ind_types/list' @ X0,X2 : 'type/nums/num'] : (('const/lists/EL' @ X0 @ X2 @ ('const/lists/TL' @ X0 @ X1)) = ('const/lists/EL' @ X0 @ ('const/arith/+' @ X2 @ ('const/nums/NUMERAL' @ ('const/nums/BIT1' @ 'const/nums/_0'))) @ X1))),
% 1.36/1.13    file('/export/starexec/sandbox/tmp/tmp.Ie0qtQ1ANN/DTF2THF_24978.p','thm/lists/EL_TL_')).
% 1.36/1.13  % SZS output end Proof for DTF2THF_24978
% 1.36/1.13  % (25080)------------------------------
% 1.36/1.13  % (25080)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.36/1.13  % (25080)Termination reason: Refutation
% 1.36/1.13  
% 1.36/1.13  % (25080)Memory used [KB]: 5500
% 1.36/1.13  % (25080)Time elapsed: 0.004 s
% 1.36/1.13  % (25080)Instructions burned: 1 (million)
% 1.36/1.13  % (25080)------------------------------
% 1.36/1.13  % (25080)------------------------------
% 1.36/1.13  % (25074)Success in time 0.016 s
%------------------------------------------------------------------------------