TSTP Solution File: SWV679-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV679-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.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 : Tue May 21 06:05:14 EDT 2024

% Result   : Unsatisfiable 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   31 (   8 unt;   0 def)
%            Number of atoms       :   66 (  18 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   67 (  32   ~;  32   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f776,plain,
    $false,
    inference(avatar_sat_refutation,[],[f707,f733,f754,f774]) ).

fof(f774,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f773]) ).

fof(f773,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f769,f641]) ).

fof(f641,axiom,
    class_Ring__and__Field_Ofield(t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).

fof(f769,plain,
    ( ~ class_Ring__and__Field_Ofield(t_a)
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[],[f767]) ).

fof(f767,plain,
    ( v_a != v_a
    | ~ class_Ring__and__Field_Ofield(t_a)
    | ~ spl0_1 ),
    inference(superposition,[],[f640,f700]) ).

fof(f700,plain,
    ( v_a = c_HOL_Ozero__class_Ozero(t_a)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f698,plain,
    ( spl0_1
  <=> v_a = c_HOL_Ozero__class_Ozero(t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f640,axiom,
    ( v_a != c_HOL_Ozero__class_Ozero(t_a)
    | ~ class_Ring__and__Field_Ofield(t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

fof(f754,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f753,f714,f702,f698]) ).

fof(f702,plain,
    ( spl0_2
  <=> c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) = c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f714,plain,
    ( spl0_4
  <=> c_lessequals(v_m,v_n,tc_nat) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f753,plain,
    ( v_a = c_HOL_Ozero__class_Ozero(t_a)
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f752,f641]) ).

fof(f752,plain,
    ( v_a = c_HOL_Ozero__class_Ozero(t_a)
    | ~ class_Ring__and__Field_Ofield(t_a)
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f751,f715]) ).

fof(f715,plain,
    ( c_lessequals(v_m,v_n,tc_nat)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f751,plain,
    ( ~ c_lessequals(v_m,v_n,tc_nat)
    | v_a = c_HOL_Ozero__class_Ozero(t_a)
    | ~ class_Ring__and__Field_Ofield(t_a)
    | spl0_2 ),
    inference(trivial_inequality_removal,[],[f749]) ).

fof(f749,plain,
    ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a)
    | ~ c_lessequals(v_m,v_n,tc_nat)
    | v_a = c_HOL_Ozero__class_Ozero(t_a)
    | ~ class_Ring__and__Field_Ofield(t_a)
    | spl0_2 ),
    inference(superposition,[],[f704,f568]) ).

fof(f568,axiom,
    ! [X0,X1,X8,X7] :
      ( c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X8,X7,tc_nat),X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X7,X0),c_Power_Opower__class_Opower(X1,X8,X0),X0)
      | ~ c_lessequals(X7,X8,tc_nat)
      | c_HOL_Ozero__class_Ozero(X0) = X1
      | ~ class_Ring__and__Field_Ofield(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_power__diff__inverse_0) ).

fof(f704,plain,
    ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f733,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f732]) ).

fof(f732,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f730,f628]) ).

fof(f628,axiom,
    ~ c_lessequals(v_n,v_m,tc_nat),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_False_0) ).

fof(f730,plain,
    ( c_lessequals(v_n,v_m,tc_nat)
    | spl0_4 ),
    inference(resolution,[],[f716,f604]) ).

fof(f604,axiom,
    ! [X8,X7] :
      ( c_lessequals(X8,X7,tc_nat)
      | c_lessequals(X7,X8,tc_nat) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).

fof(f716,plain,
    ( ~ c_lessequals(v_m,v_n,tc_nat)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f707,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f706,f702]) ).

fof(f706,plain,
    c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),
    inference(subsumption_resolution,[],[f692,f641]) ).

fof(f692,plain,
    ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a)
    | ~ class_Ring__and__Field_Ofield(t_a) ),
    inference(superposition,[],[f688,f556]) ).

fof(f556,axiom,
    ! [X0,X1] :
      ( c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0)
      | ~ class_Ring__and__Field_Ofield(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).

fof(f688,plain,
    c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),
    inference(subsumption_resolution,[],[f642,f628]) ).

fof(f642,axiom,
    ( c_lessequals(v_n,v_m,tc_nat)
    | c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : SWV679-1 : TPTP v8.2.0. Released v4.1.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 08:45:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.80  % (5912)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.60/0.80  % (5906)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.60/0.80  % (5908)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.80  % (5910)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.60/0.80  % (5909)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.80  % (5907)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.60/0.80  % (5911)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.81  % (5911)First to succeed.
% 0.60/0.81  % (5911)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-5905"
% 0.60/0.81  % (5911)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Unsatisfiable for theBenchmark
% 0.60/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.81  % (5911)------------------------------
% 0.60/0.81  % (5911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.81  % (5911)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (5911)Memory used [KB]: 1552
% 0.60/0.81  % (5911)Time elapsed: 0.009 s
% 0.60/0.81  % (5911)Instructions burned: 12 (million)
% 0.60/0.81  % (5905)Success in time 0.437 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------