TSTP Solution File: ANA016-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n010.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 May  1 02:07:17 EDT 2024

% Result   : Unsatisfiable 0.60s 0.81s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   35 (  11 unt;   0 def)
%            Number of atoms       :   67 (  16 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   59 (  27   ~;  28   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f92,plain,
    $false,
    inference(avatar_sat_refutation,[],[f67,f70,f73,f75,f91]) ).

fof(f91,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f90]) ).

fof(f90,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f89,f11]) ).

fof(f11,plain,
    class_OrderedGroup_Omonoid__mult(t_a),
    inference(resolution,[],[f7,f10]) ).

fof(f10,plain,
    class_Ring__and__Field_Ofield(t_a),
    inference(resolution,[],[f9,f3]) ).

fof(f3,axiom,
    class_Ring__and__Field_Oordered__field(t_a),
    file('/export/starexec/sandbox/tmp/tmp.WjbVJBNfYm/Vampire---4.8_31874',tfree_tcs) ).

fof(f9,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__field(X5)
      | class_Ring__and__Field_Ofield(X5) ),
    file('/export/starexec/sandbox/tmp/tmp.WjbVJBNfYm/Vampire---4.8_31874',clsrel_Ring__and__Field_Oordered__field_0) ).

fof(f7,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | class_OrderedGroup_Omonoid__mult(X5) ),
    file('/export/starexec/sandbox/tmp/tmp.WjbVJBNfYm/Vampire---4.8_31874',clsrel_Ring__and__Field_Ofield_12) ).

fof(f89,plain,
    ( ~ class_OrderedGroup_Omonoid__mult(t_a)
    | spl0_7 ),
    inference(trivial_inequality_removal,[],[f88]) ).

fof(f88,plain,
    ( v_g(v_x) != v_g(v_x)
    | ~ class_OrderedGroup_Omonoid__mult(t_a)
    | spl0_7 ),
    inference(superposition,[],[f66,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( c_times(c_1,X1,X0) = X1
      | ~ class_OrderedGroup_Omonoid__mult(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.WjbVJBNfYm/Vampire---4.8_31874',cls_OrderedGroup_Omonoid__mult__class_Oaxioms__1_0) ).

fof(f66,plain,
    ( v_g(v_x) != c_times(c_1,v_g(v_x),t_a)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl0_7
  <=> v_g(v_x) = c_times(c_1,v_g(v_x),t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f75,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f74]) ).

fof(f74,plain,
    ( $false
    | spl0_6 ),
    inference(resolution,[],[f62,f12]) ).

fof(f12,plain,
    class_OrderedGroup_Osemigroup__mult(t_a),
    inference(resolution,[],[f8,f10]) ).

fof(f8,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Ofield(X5)
      | class_OrderedGroup_Osemigroup__mult(X5) ),
    file('/export/starexec/sandbox/tmp/tmp.WjbVJBNfYm/Vampire---4.8_31874',clsrel_Ring__and__Field_Ofield_21) ).

fof(f62,plain,
    ( ~ class_OrderedGroup_Osemigroup__mult(t_a)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f60,plain,
    ( spl0_6
  <=> class_OrderedGroup_Osemigroup__mult(t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f73,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f72]) ).

fof(f72,plain,
    ( $false
    | ~ spl0_5 ),
    inference(trivial_inequality_removal,[],[f71]) ).

fof(f71,plain,
    ( v_c != v_c
    | ~ spl0_5 ),
    inference(superposition,[],[f1,f58]) ).

fof(f58,plain,
    ( v_c = c_0
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl0_5
  <=> v_c = c_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1,axiom,
    v_c != c_0,
    file('/export/starexec/sandbox/tmp/tmp.WjbVJBNfYm/Vampire---4.8_31874',cls_conjecture_0) ).

fof(f70,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f69]) ).

fof(f69,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f54,f10]) ).

fof(f54,plain,
    ( ~ class_Ring__and__Field_Ofield(t_a)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl0_4
  <=> class_Ring__and__Field_Ofield(t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f67,plain,
    ( ~ spl0_4
    | spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f37,f64,f60,f56,f52]) ).

fof(f37,plain,
    ( v_g(v_x) != c_times(c_1,v_g(v_x),t_a)
    | ~ class_OrderedGroup_Osemigroup__mult(t_a)
    | v_c = c_0
    | ~ class_Ring__and__Field_Ofield(t_a) ),
    inference(superposition,[],[f2,f27]) ).

fof(f27,plain,
    ! [X2,X0,X1] :
      ( c_times(X0,c_times(c_HOL_Oinverse(X0,X1),X2,X1),X1) = c_times(c_1,X2,X1)
      | ~ class_OrderedGroup_Osemigroup__mult(X1)
      | c_0 = X0
      | ~ class_Ring__and__Field_Ofield(X1) ),
    inference(superposition,[],[f5,f6]) ).

fof(f6,axiom,
    ! [X2,X0] :
      ( c_1 = c_times(X2,c_HOL_Oinverse(X2,X0),X0)
      | c_0 = X2
      | ~ class_Ring__and__Field_Ofield(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.WjbVJBNfYm/Vampire---4.8_31874',cls_Ring__and__Field_Oright__inverse_0) ).

fof(f5,axiom,
    ! [X2,X3,X0,X4] :
      ( c_times(c_times(X2,X3,X0),X4,X0) = c_times(X2,c_times(X3,X4,X0),X0)
      | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.WjbVJBNfYm/Vampire---4.8_31874',cls_OrderedGroup_Osemigroup__mult__class_Omult__assoc_0) ).

fof(f2,axiom,
    v_g(v_x) != c_times(v_c,c_times(c_HOL_Oinverse(v_c,t_a),v_g(v_x),t_a),t_a),
    file('/export/starexec/sandbox/tmp/tmp.WjbVJBNfYm/Vampire---4.8_31874',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : ANA016-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.31  % Computer : n010.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 16:46:34 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.11/0.32  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.WjbVJBNfYm/Vampire---4.8_31874
% 0.60/0.80  % (31990)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.80  % (31989)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 (2995ds/51Mi)
% 0.60/0.80  % (31993)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.80  % (31991)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.80  % (31994)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 (2995ds/83Mi)
% 0.60/0.80  % (31995)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 (2995ds/56Mi)
% 0.60/0.80  % (31992)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 (2995ds/34Mi)
% 0.60/0.80  % (31995)Refutation not found, incomplete strategy% (31995)------------------------------
% 0.60/0.80  % (31995)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (31995)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (31995)Memory used [KB]: 950
% 0.60/0.80  % (31995)Time elapsed: 0.002 s
% 0.60/0.80  % (31995)Instructions burned: 2 (million)
% 0.60/0.80  % (31995)------------------------------
% 0.60/0.80  % (31995)------------------------------
% 0.60/0.80  % (31993)Refutation not found, incomplete strategy% (31993)------------------------------
% 0.60/0.80  % (31993)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (31992)Refutation not found, incomplete strategy% (31992)------------------------------
% 0.60/0.80  % (31992)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (31992)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (31992)Memory used [KB]: 963
% 0.60/0.80  % (31992)Time elapsed: 0.003 s
% 0.60/0.80  % (31992)Instructions burned: 2 (million)
% 0.60/0.80  % (31992)------------------------------
% 0.60/0.80  % (31992)------------------------------
% 0.60/0.80  % (31993)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (31991)Refutation not found, incomplete strategy% (31991)------------------------------
% 0.60/0.80  % (31991)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (31993)Memory used [KB]: 949
% 0.60/0.80  % (31993)Time elapsed: 0.003 s
% 0.60/0.80  % (31993)Instructions burned: 2 (million)
% 0.60/0.80  % (31993)------------------------------
% 0.60/0.80  % (31993)------------------------------
% 0.60/0.80  % (31991)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (31991)Memory used [KB]: 952
% 0.60/0.80  % (31991)Time elapsed: 0.003 s
% 0.60/0.80  % (31991)Instructions burned: 2 (million)
% 0.60/0.80  % (31991)------------------------------
% 0.60/0.80  % (31991)------------------------------
% 0.60/0.80  % (31988)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 (2995ds/34Mi)
% 0.60/0.80  % (31994)Refutation not found, incomplete strategy% (31994)------------------------------
% 0.60/0.80  % (31994)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (31994)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (31994)Memory used [KB]: 957
% 0.60/0.80  % (31994)Time elapsed: 0.003 s
% 0.60/0.80  % (31994)Instructions burned: 3 (million)
% 0.60/0.80  % (31994)------------------------------
% 0.60/0.80  % (31994)------------------------------
% 0.60/0.80  % (31988)Refutation not found, incomplete strategy% (31988)------------------------------
% 0.60/0.80  % (31988)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.80  % (31988)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.80  
% 0.60/0.80  % (31988)Memory used [KB]: 964
% 0.60/0.80  % (31988)Time elapsed: 0.002 s
% 0.60/0.80  % (31988)Instructions burned: 2 (million)
% 0.60/0.80  % (31988)------------------------------
% 0.60/0.80  % (31988)------------------------------
% 0.60/0.81  % (31989)First to succeed.
% 0.60/0.81  % (31990)Also succeeded, but the first one will report.
% 0.60/0.81  % (31996)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.60/0.81  % (31989)Refutation found. Thanks to Tanya!
% 0.60/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.60/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.81  % (31989)------------------------------
% 0.60/0.81  % (31989)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (31989)Termination reason: Refutation
% 0.60/0.81  
% 0.60/0.81  % (31989)Memory used [KB]: 1073
% 0.60/0.81  % (31989)Time elapsed: 0.006 s
% 0.60/0.81  % (31989)Instructions burned: 5 (million)
% 0.60/0.81  % (31989)------------------------------
% 0.60/0.81  % (31989)------------------------------
% 0.60/0.81  % (31982)Success in time 0.483 s
% 0.60/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------