TSTP Solution File: SWV678-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV678-1 : TPTP v8.1.2. 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 : n023.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 : Sun May  5 10:39:14 EDT 2024

% Result   : Unsatisfiable 0.53s 0.78s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   25 (  11 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   28 (  16   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f698,plain,
    $false,
    inference(subsumption_resolution,[],[f697,f641]) ).

fof(f641,axiom,
    class_Ring__and__Field_Ofield(t_a),
    file('/export/starexec/sandbox2/tmp/tmp.CGxbaCWlfM/Vampire---4.8_29138',tfree_tcs) ).

fof(f697,plain,
    ~ class_Ring__and__Field_Ofield(t_a),
    inference(trivial_inequality_removal,[],[f693]) ).

fof(f693,plain,
    ( v_a != v_a
    | ~ class_Ring__and__Field_Ofield(t_a) ),
    inference(superposition,[],[f426,f692]) ).

fof(f692,plain,
    v_a = c_HOL_Ozero__class_Ozero(t_a),
    inference(subsumption_resolution,[],[f691,f641]) ).

fof(f691,plain,
    ( v_a = c_HOL_Ozero__class_Ozero(t_a)
    | ~ class_Ring__and__Field_Ofield(t_a) ),
    inference(subsumption_resolution,[],[f690,f613]) ).

fof(f613,axiom,
    c_lessequals(v_n,v_m,tc_nat),
    file('/export/starexec/sandbox2/tmp/tmp.CGxbaCWlfM/Vampire---4.8_29138',cls_True_0) ).

fof(f690,plain,
    ( ~ c_lessequals(v_n,v_m,tc_nat)
    | v_a = c_HOL_Ozero__class_Ozero(t_a)
    | ~ class_Ring__and__Field_Ofield(t_a) ),
    inference(trivial_inequality_removal,[],[f689]) ).

fof(f689,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_n,v_m,tc_nat)
    | v_a = c_HOL_Ozero__class_Ozero(t_a)
    | ~ class_Ring__and__Field_Ofield(t_a) ),
    inference(superposition,[],[f688,f603]) ).

fof(f603,axiom,
    ! [X0,X1,X8,X7] :
      ( c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X7,X0),c_Power_Opower__class_Opower(X1,X8,X0),X0) = c_Power_Opower__class_Opower(X1,c_HOL_Ominus__class_Ominus(X7,X8,tc_nat),X0)
      | ~ c_lessequals(X8,X7,tc_nat)
      | c_HOL_Ozero__class_Ozero(X0) = X1
      | ~ class_Ring__and__Field_Ofield(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.CGxbaCWlfM/Vampire---4.8_29138',cls_power__diff_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(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a),
    inference(subsumption_resolution,[],[f643,f613]) ).

fof(f643,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(v_a,c_HOL_Ominus__class_Ominus(v_m,v_n,tc_nat),t_a) ),
    file('/export/starexec/sandbox2/tmp/tmp.CGxbaCWlfM/Vampire---4.8_29138',cls_conjecture_1) ).

fof(f426,axiom,
    ( v_a != c_HOL_Ozero__class_Ozero(t_a)
    | ~ class_Ring__and__Field_Ofield(t_a) ),
    file('/export/starexec/sandbox2/tmp/tmp.CGxbaCWlfM/Vampire---4.8_29138',cls_nz_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWV678-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15  % 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
% 0.14/0.37  % Computer : n023.cluster.edu
% 0.14/0.37  % Model    : x86_64 x86_64
% 0.14/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37  % Memory   : 8042.1875MB
% 0.14/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit   : 300
% 0.14/0.37  % WCLimit    : 300
% 0.14/0.37  % DateTime   : Fri May  3 21:10:53 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.37  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/tmp/tmp.CGxbaCWlfM/Vampire---4.8_29138
% 0.53/0.77  % (29247)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 Vampire---4 for (2996ds/34Mi)
% 0.53/0.77  % (29249)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.77  % (29251)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 Vampire---4 for (2996ds/34Mi)
% 0.53/0.77  % (29250)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.53/0.77  % (29252)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.53/0.77  % (29248)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 Vampire---4 for (2996ds/51Mi)
% 0.53/0.77  % (29253)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 Vampire---4 for (2996ds/83Mi)
% 0.53/0.77  % (29254)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.53/0.77  % (29252)First to succeed.
% 0.53/0.77  % (29252)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-29246"
% 0.53/0.78  % (29252)Refutation found. Thanks to Tanya!
% 0.53/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.53/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.53/0.78  % (29252)------------------------------
% 0.53/0.78  % (29252)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.78  % (29252)Termination reason: Refutation
% 0.53/0.78  
% 0.53/0.78  % (29252)Memory used [KB]: 1528
% 0.53/0.78  % (29252)Time elapsed: 0.006 s
% 0.53/0.78  % (29252)Instructions burned: 10 (million)
% 0.53/0.78  % (29246)Success in time 0.387 s
% 0.53/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------