TSTP Solution File: ANA010-2 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA010-2 : 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 : n009.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 02:07:15 EDT 2024

% Result   : Unsatisfiable 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   36 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  17   ~;  13   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f88,plain,
    $false,
    inference(avatar_sat_refutation,[],[f29,f86]) ).

fof(f86,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f85]) ).

fof(f85,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f81,f5]) ).

fof(f5,axiom,
    ! [X6] : c_lessequals(v_f(X6),c_times(v_c,v_g(X6),t_b),t_b),
    file('/export/starexec/sandbox/tmp/tmp.5wOqm9O2O9/Vampire---4.8_9539',cls_conjecture_1) ).

fof(f81,plain,
    ( ~ c_lessequals(v_f(v_x(c_HOL_Oabs(v_c,t_b))),c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b)
    | ~ spl0_1 ),
    inference(superposition,[],[f58,f33]) ).

fof(f33,plain,
    ( ! [X0] : c_times(v_c,v_g(X0),t_b) = c_HOL_Oabs(c_times(v_c,v_g(X0),t_b),t_b)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f10,f30,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ c_lessequals(c_0,X1,X0)
      | c_HOL_Oabs(X1,X0) = X1
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5wOqm9O2O9/Vampire---4.8_9539',cls_OrderedGroup_Oabs__of__nonneg_0) ).

fof(f30,plain,
    ( ! [X0] : c_lessequals(c_0,c_times(v_c,v_g(X0),t_b),t_b)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f19,f4,f5,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X1,X2,X0)
      | ~ c_lessequals(X3,X1,X0)
      | c_lessequals(X3,X2,X0)
      | ~ class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5wOqm9O2O9/Vampire---4.8_9539',cls_Orderings_Oorder__class_Oorder__trans_0) ).

fof(f4,axiom,
    ! [X6] : c_lessequals(c_0,v_f(X6),t_b),
    file('/export/starexec/sandbox/tmp/tmp.5wOqm9O2O9/Vampire---4.8_9539',cls_conjecture_0) ).

fof(f19,plain,
    ( class_Orderings_Oorder(t_b)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl0_1
  <=> class_Orderings_Oorder(t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f10,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(unit_resulting_resolution,[],[f9,f8]) ).

fof(f8,axiom,
    ! [X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | class_OrderedGroup_Olordered__ab__group__abs(X7) ),
    file('/export/starexec/sandbox/tmp/tmp.5wOqm9O2O9/Vampire---4.8_9539',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(f9,axiom,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/tmp/tmp.5wOqm9O2O9/Vampire---4.8_9539',tfree_tcs) ).

fof(f58,plain,
    ! [X0] : ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b),
    inference(superposition,[],[f6,f11]) ).

fof(f11,plain,
    ! [X0,X1] : c_HOL_Oabs(c_times(X0,X1,t_b),t_b) = c_times(c_HOL_Oabs(X0,t_b),c_HOL_Oabs(X1,t_b),t_b),
    inference(unit_resulting_resolution,[],[f9,f3]) ).

fof(f3,axiom,
    ! [X0,X4,X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X0)
      | c_HOL_Oabs(c_times(X4,X5,X0),X0) = c_times(c_HOL_Oabs(X4,X0),c_HOL_Oabs(X5,X0),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.5wOqm9O2O9/Vampire---4.8_9539',cls_Ring__and__Field_Oabs__mult_0) ).

fof(f6,axiom,
    ! [X6] : ~ c_lessequals(v_f(v_x(X6)),c_times(X6,c_HOL_Oabs(v_g(v_x(X6)),t_b),t_b),t_b),
    file('/export/starexec/sandbox/tmp/tmp.5wOqm9O2O9/Vampire---4.8_9539',cls_conjecture_2) ).

fof(f29,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f25,f18]) ).

fof(f25,plain,
    class_Orderings_Oorder(t_b),
    inference(unit_resulting_resolution,[],[f10,f7]) ).

fof(f7,axiom,
    ! [X7] :
      ( class_Orderings_Oorder(X7)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X7) ),
    file('/export/starexec/sandbox/tmp/tmp.5wOqm9O2O9/Vampire---4.8_9539',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ANA010-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n009.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 16:54:41 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.36  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.5wOqm9O2O9/Vampire---4.8_9539
% 0.54/0.75  % (9936)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)
% 0.54/0.75  % (9931)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)
% 0.54/0.75  % (9933)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)
% 0.54/0.75  % (9932)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (9934)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)
% 0.54/0.75  % (9935)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)
% 0.54/0.75  % (9933)Refutation not found, incomplete strategy% (9933)------------------------------
% 0.54/0.75  % (9933)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (9933)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (9933)Memory used [KB]: 952
% 0.54/0.75  % (9933)Time elapsed: 0.003 s
% 0.54/0.75  % (9933)Instructions burned: 2 (million)
% 0.54/0.75  % (9933)------------------------------
% 0.54/0.75  % (9933)------------------------------
% 0.54/0.75  % (9936)First to succeed.
% 0.54/0.75  % (9935)Refutation not found, incomplete strategy% (9935)------------------------------
% 0.54/0.75  % (9935)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (9935)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (9935)Memory used [KB]: 969
% 0.54/0.75  % (9935)Time elapsed: 0.003 s
% 0.54/0.75  % (9935)Instructions burned: 3 (million)
% 0.54/0.75  % (9935)------------------------------
% 0.54/0.75  % (9935)------------------------------
% 0.54/0.75  % (9936)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (9936)------------------------------
% 0.54/0.75  % (9936)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (9936)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (9936)Memory used [KB]: 1066
% 0.54/0.75  % (9936)Time elapsed: 0.004 s
% 0.54/0.75  % (9936)Instructions burned: 6 (million)
% 0.54/0.75  % (9936)------------------------------
% 0.54/0.75  % (9936)------------------------------
% 0.54/0.75  % (9792)Success in time 0.379 s
% 0.54/0.75  terminate called after throwing an instance of 'Lib::SystemFailException'
% 0.54/0.75  9792 Aborted by signal SIGABRT on /export/starexec/sandbox/tmp/tmp.5wOqm9O2O9/Vampire---4.8_9539
% 0.54/0.75  % (9792)------------------------------
% 0.54/0.75  % (9792)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (9792)Termination reason: Unknown
% 0.54/0.75  % (9792)Termination phase: Unknown
% 0.54/0.75  
% 0.54/0.75  % (9792)Memory used [KB]: 441
% 0.54/0.75  % (9792)Time elapsed: 0.379 s
% 0.54/0.75  % (9792)Instructions burned: 953 (million)
% 0.54/0.75  % (9792)------------------------------
% 0.54/0.75  % (9792)------------------------------
% 0.54/0.75  Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  ???
% 0.54/0.75   ???
% 0.54/0.75    ???
% 0.54/0.75     ???
% 0.54/0.75      ???
% 0.54/0.75       ???
% 0.54/0.75        ???
% 0.54/0.75         ???
% 0.54/0.75          ???
% 0.54/0.75           ???
% 0.54/0.75            ???
% 0.54/0.75             ???
% 0.54/0.75              ???
% 0.54/0.75               ???
% 0.54/0.75                ???
% 0.54/0.75                 ???
% 0.54/0.75                  ???
% 0.54/0.75                   ???
% 0.54/0.75                    ???
% 0.54/0.75                     ???
% 0.54/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------