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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : MGT050+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 12:02:14 PM UTC 2026

% Result   : Theorem 1.91s 1.31s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   67 (   9 unt;   0 def)
%            Number of atoms       :  246 (  39 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  289 ( 110   ~; 117   |;  40   &)
%                                         (   3 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :  114 ( 108   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
    <=> ( smaller(X0,X1)
        | X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller_or_equal) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
    <=> ( greater(X0,X1)
        | X0 = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_greater_or_equal) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( smaller(X0,X1)
    <=> greater(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_smaller) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ( organization(X0)
        & ~ has_endowment(X0) )
     => ~ has_immunity(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_1) ).

fof(f8,axiom,
    ! [X0,X1,X2] :
      ( ( organization(X0)
        & ~ has_immunity(X0,X1)
        & ~ has_immunity(X0,X2) )
     => ( ( ( greater(capability(X0,X2),capability(X0,X1))
            & greater_or_equal(position(X0,X2),position(X0,X1)) )
         => smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
        & ( ( greater_or_equal(capability(X0,X2),capability(X0,X1))
            & greater(position(X0,X2),position(X0,X1)) )
         => smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) )
        & ( ( capability(X0,X2) = capability(X0,X1)
            & position(X0,X2) = position(X0,X1) )
         => hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_4) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( organization(X0)
     => ( ( ( greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
            & smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
         => greater(capability(X0,X2),capability(X0,X1)) )
        & ( ( smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
            & greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
         => smaller(capability(X0,X2),capability(X0,X1)) )
        & ( ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
            & internal_friction(X0,X2) = internal_friction(X0,X1) )
         => capability(X0,X2) = capability(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_5) ).

fof(f10,axiom,
    ! [X0,X1,X2] :
      ( organization(X0)
     => ( ( greater(external_ties(X0,X2),external_ties(X0,X1))
         => greater(position(X0,X2),position(X0,X1)) )
        & ( external_ties(X0,X2) = external_ties(X0,X1)
         => position(X0,X2) = position(X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_6) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( organization(X0)
     => stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_10) ).

fof(f12,axiom,
    ! [X0,X1,X2] :
      ( organization(X0)
     => external_ties(X0,X2) = external_ties(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_11) ).

fof(f13,axiom,
    ! [X0,X1,X2] :
      ( ( organization(X0)
        & greater(age(X0,X2),age(X0,X1)) )
     => greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_12) ).

fof(f14,conjecture,
    ! [X0,X1,X2] :
      ( ( organization(X0)
        & ~ has_endowment(X0)
        & greater(age(X0,X2),age(X0,X1)) )
     => greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_3) ).

fof(f15,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( organization(X0)
          & ~ has_endowment(X0)
          & greater(age(X0,X2),age(X0,X1)) )
       => greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1)) ),
    inference(negated_conjecture,[status(cth)],[f14]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ( greater(X0,X1)
        | X0 = X1 )
     => greater_or_equal(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f2]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( ( smaller(X0,X1)
        | X0 = X1 )
     => smaller_or_equal(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f18,plain,
    ? [X0,X1,X2] :
      ( ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      & organization(X0)
      & ~ has_endowment(X0)
      & greater(age(X0,X2),age(X0,X1)) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f19,plain,
    ? [X0,X1,X2] :
      ( ~ greater(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      & organization(X0)
      & ~ has_endowment(X0)
      & greater(age(X0,X2),age(X0,X1)) ),
    inference(flattening,[],[f18]) ).

fof(f20,plain,
    ! [X0,X1,X2] :
      ( ( ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          | ~ greater(capability(X0,X2),capability(X0,X1))
          | ~ greater_or_equal(position(X0,X2),position(X0,X1)) )
        & ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          | ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
          | ~ greater(position(X0,X2),position(X0,X1)) )
        & ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
          | capability(X0,X2) != capability(X0,X1)
          | position(X0,X2) != position(X0,X1) ) )
      | ~ organization(X0)
      | has_immunity(X0,X1)
      | has_immunity(X0,X2) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          | ~ greater(capability(X0,X2),capability(X0,X1))
          | ~ greater_or_equal(position(X0,X2),position(X0,X1)) )
        & ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
          | ~ greater_or_equal(capability(X0,X2),capability(X0,X1))
          | ~ greater(position(X0,X2),position(X0,X1)) )
        & ( hazard_of_mortality(X0,X2) = hazard_of_mortality(X0,X1)
          | capability(X0,X2) != capability(X0,X1)
          | position(X0,X2) != position(X0,X1) ) )
      | ~ organization(X0)
      | has_immunity(X0,X1)
      | has_immunity(X0,X2) ),
    inference(flattening,[],[f20]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ~ has_immunity(X0,X1)
      | ~ organization(X0)
      | has_endowment(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f26,plain,
    ! [X0,X1] :
      ( ~ has_immunity(X0,X1)
      | ~ organization(X0)
      | has_endowment(X0) ),
    inference(flattening,[],[f25]) ).

fof(f27,plain,
    ! [X0,X1,X2] :
      ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | ~ organization(X0)
      | ~ greater(age(X0,X2),age(X0,X1)) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | ~ organization(X0)
      | ~ greater(age(X0,X2),age(X0,X1)) ),
    inference(flattening,[],[f27]) ).

fof(f29,plain,
    ! [X0,X1,X2] :
      ( ( ( greater(capability(X0,X2),capability(X0,X1))
          | ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          | ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
        & ( smaller(capability(X0,X2),capability(X0,X1))
          | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
        & ( capability(X0,X2) = capability(X0,X1)
          | stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
          | internal_friction(X0,X2) != internal_friction(X0,X1) ) )
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f30,plain,
    ! [X0,X1,X2] :
      ( ( ( greater(capability(X0,X2),capability(X0,X1))
          | ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          | ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1)) )
        & ( smaller(capability(X0,X2),capability(X0,X1))
          | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
          | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1)) )
        & ( capability(X0,X2) = capability(X0,X1)
          | stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1)
          | internal_friction(X0,X2) != internal_friction(X0,X1) ) )
      | ~ organization(X0) ),
    inference(flattening,[],[f29]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( ( ( greater(position(X0,X2),position(X0,X1))
          | ~ greater(external_ties(X0,X2),external_ties(X0,X1)) )
        & ( position(X0,X2) = position(X0,X1)
          | external_ties(X0,X2) != external_ties(X0,X1) ) )
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | ( ~ greater(X0,X1)
        & X0 != X1 ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
      | ( ~ smaller(X0,X1)
        & X0 != X1 ) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( external_ties(X0,X2) = external_ties(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f36,plain,
    ( ~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1))
    & organization(sK0)
    & ~ has_endowment(sK0)
    & greater(age(sK0,sK2),age(sK0,sK1)) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f19]) ).

fof(f37,plain,
    ! [X0,X1] :
      ( ( smaller(X0,X1)
        | ~ greater(X1,X0) )
      & ( greater(X1,X0)
        | ~ smaller(X0,X1) ) ),
    inference(nnf_transformation,[],[f3]) ).

fof(f38,plain,
    greater(age(sK0,sK2),age(sK0,sK1)),
    inference(cnf_transformation,[],[f36]) ).

fof(f39,plain,
    ~ has_endowment(sK0),
    inference(cnf_transformation,[],[f36]) ).

fof(f40,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f36]) ).

fof(f41,plain,
    ~ greater(hazard_of_mortality(sK0,sK2),hazard_of_mortality(sK0,sK1)),
    inference(cnf_transformation,[],[f36]) ).

fof(f44,plain,
    ! [X2,X0,X1] :
      ( smaller(hazard_of_mortality(X0,X2),hazard_of_mortality(X0,X1))
      | ~ greater(capability(X0,X2),capability(X0,X1))
      | ~ greater_or_equal(position(X0,X2),position(X0,X1))
      | ~ organization(X0)
      | has_immunity(X0,X1)
      | has_immunity(X0,X2) ),
    inference(cnf_transformation,[],[f21]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( ~ has_immunity(X0,X1)
      | ~ organization(X0)
      | has_endowment(X0) ),
    inference(cnf_transformation,[],[f26]) ).

fof(f48,plain,
    ! [X2,X0,X1] :
      ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | ~ organization(X0)
      | ~ greater(age(X0,X2),age(X0,X1)) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f50,plain,
    ! [X2,X0,X1] :
      ( smaller(capability(X0,X2),capability(X0,X1))
      | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
      | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f30]) ).

fof(f52,plain,
    ! [X2,X0,X1] :
      ( position(X0,X2) = position(X0,X1)
      | external_ties(X0,X2) != external_ties(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f31]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( greater(X1,X0)
      | ~ smaller(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

fof(f57,plain,
    ! [X0,X1] :
      ( greater_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f32]) ).

fof(f59,plain,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f33]) ).

fof(f61,plain,
    ! [X2,X0,X1] :
      ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f62,plain,
    ! [X2,X0,X1] :
      ( external_ties(X0,X2) = external_ties(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f35]) ).

fof(f63,plain,
    ! [X1] : greater_or_equal(X1,X1),
    inference(equality_resolution,[],[f57]) ).

fof(f64,plain,
    ! [X1] : smaller_or_equal(X1,X1),
    inference(equality_resolution,[],[f59]) ).

fof(f67,plain,
    ~ smaller(hazard_of_mortality(sK0,sK1),hazard_of_mortality(sK0,sK2)),
    inference(resolution,[],[f55,f41]) ).

fof(f129,plain,
    ! [X2,X0,X1] :
      ( position(X0,X2) = position(X0,X1)
      | ~ organization(X0) ),
    inference(forward_subsumption_resolution,[],[f52,f62]) ).

fof(f209,plain,
    ( ~ greater(capability(sK0,sK1),capability(sK0,sK2))
    | ~ greater_or_equal(position(sK0,sK1),position(sK0,sK2))
    | ~ organization(sK0)
    | has_immunity(sK0,sK2)
    | has_immunity(sK0,sK1) ),
    inference(resolution,[],[f44,f67]) ).

fof(f216,plain,
    ( ~ greater(capability(sK0,sK1),capability(sK0,sK2))
    | ~ greater_or_equal(position(sK0,sK1),position(sK0,sK2))
    | has_immunity(sK0,sK2)
    | has_immunity(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f209,f40]) ).

fof(f345,plain,
    ( ~ greater_or_equal(position(sK0,sK1),position(sK0,sK2))
    | has_immunity(sK0,sK2)
    | has_immunity(sK0,sK1)
    | ~ smaller(capability(sK0,sK2),capability(sK0,sK1)) ),
    inference(resolution,[],[f216,f55]) ).

fof(f743,plain,
    ! [X0] :
      ( ~ greater_or_equal(position(sK0,sK1),position(sK0,X0))
      | has_immunity(sK0,sK2)
      | has_immunity(sK0,sK1)
      | ~ smaller(capability(sK0,sK2),capability(sK0,sK1))
      | ~ organization(sK0) ),
    inference(superposition,[],[f345,f129]) ).

fof(f744,plain,
    ! [X0] :
      ( ~ greater_or_equal(position(sK0,sK1),position(sK0,X0))
      | has_immunity(sK0,sK2)
      | has_immunity(sK0,sK1)
      | ~ smaller(capability(sK0,sK2),capability(sK0,sK1)) ),
    inference(forward_subsumption_resolution,[],[f743,f40]) ).

fof(f830,plain,
    ( ~ smaller(capability(sK0,sK2),capability(sK0,sK1))
    | has_immunity(sK0,sK1)
    | has_immunity(sK0,sK2) ),
    inference(resolution,[],[f744,f63]) ).

fof(f843,plain,
    ( has_immunity(sK0,sK1)
    | has_immunity(sK0,sK2)
    | ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
    | ~ greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
    | ~ organization(sK0) ),
    inference(resolution,[],[f830,f50]) ).

fof(f846,plain,
    ( ~ greater(internal_friction(sK0,sK2),internal_friction(sK0,sK1))
    | has_immunity(sK0,sK2)
    | ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
    | has_immunity(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f843,f40]) ).

fof(f1117,plain,
    ( has_immunity(sK0,sK2)
    | ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
    | has_immunity(sK0,sK1)
    | ~ organization(sK0)
    | ~ greater(age(sK0,sK2),age(sK0,sK1)) ),
    inference(resolution,[],[f846,f48]) ).

fof(f1122,plain,
    ( has_immunity(sK0,sK2)
    | ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
    | has_immunity(sK0,sK1)
    | ~ greater(age(sK0,sK2),age(sK0,sK1)) ),
    inference(forward_subsumption_resolution,[],[f1117,f40]) ).

fof(f1123,plain,
    ( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,sK1))
    | has_immunity(sK0,sK2)
    | has_immunity(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f1122,f38]) ).

fof(f1128,plain,
    ! [X0] :
      ( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,X0))
      | has_immunity(sK0,sK2)
      | has_immunity(sK0,sK1)
      | ~ organization(sK0) ),
    inference(superposition,[],[f1123,f61]) ).

fof(f1129,plain,
    ! [X0] :
      ( ~ smaller_or_equal(stock_of_knowledge(sK0,sK2),stock_of_knowledge(sK0,X0))
      | has_immunity(sK0,sK2)
      | has_immunity(sK0,sK1) ),
    inference(forward_subsumption_resolution,[],[f1128,f40]) ).

fof(f1145,plain,
    ( has_immunity(sK0,sK2)
    | has_immunity(sK0,sK1) ),
    inference(resolution,[],[f1129,f64]) ).

fof(f1153,plain,
    ( has_immunity(sK0,sK1)
    | ~ organization(sK0)
    | has_endowment(sK0) ),
    inference(resolution,[],[f1145,f47]) ).

fof(f1154,plain,
    ( ~ organization(sK0)
    | has_endowment(sK0) ),
    inference(forward_subsumption_resolution,[],[f1153,f47]) ).

fof(f1155,plain,
    has_endowment(sK0),
    inference(forward_subsumption_resolution,[],[f1154,f40]) ).

fof(f1156,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1155,f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT050+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n003.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 17:29:41 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.36  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.91/1.31  % (809545)Detected formulas, will run a generic FOF schedule.
% 1.91/1.31  % (809551)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2228045142:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.91/1.31  % (809554)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4176655849:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.91/1.31  % (809553)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=769512214:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.91/1.31  % (809550)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1904872021:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.91/1.31  % (809556)dis-21_1_sil=8000:lcm=predicate:random_seed=1813912788:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.91/1.31  % (809552)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3540915554:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.91/1.31  % (809555)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3246132651:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.91/1.31  % (809553)Refutation not found, incomplete strategy
% 1.91/1.31  % (809553)------------------------------
% 1.91/1.31  % (809553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/1.31  % (809553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/1.31  % (809553)CaDiCaL version: 2.1.3
% 1.91/1.31  % (809553)Termination reason: Refutation not found, incomplete strategy
% 1.91/1.31  % (809553)Time elapsed: 0.002 s
% 1.91/1.31  % (809553)Peak memory usage: 88 MB
% 1.91/1.31  % (809553)Instructions burned: 1 (million)
% 1.91/1.31  % (809554)First to succeed.
% 1.91/1.31  % (809554)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-809545"
% 1.91/1.31  % (809556)Instruction limit reached! 
% 1.91/1.31  % (809556)------------------------------
% 1.91/1.31  % (809556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/1.31  % (809556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/1.31  % (809556)CaDiCaL version: 2.1.3
% 1.91/1.31  % (809556)Termination reason: Instruction limit
% 1.91/1.31  % (809556)Termination phase: Saturation
% 1.91/1.31  % (809556)Time elapsed: 0.050 s
% 1.91/1.31  % (809556)Peak memory usage: 88 MB
% 1.91/1.31  % (809556)Instructions burned: 132 (million)
% 1.91/1.31  % (809555)Instruction limit reached! 
% 1.91/1.31  % (809555)------------------------------
% 1.91/1.31  % (809555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/1.31  % (809555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/1.31  % (809555)CaDiCaL version: 2.1.3
% 1.91/1.31  % (809555)Termination reason: Instruction limit
% 1.91/1.31  % (809555)Termination phase: Saturation
% 1.91/1.31  % (809555)Time elapsed: 0.091 s
% 1.91/1.31  % (809555)Peak memory usage: 89 MB
% 1.91/1.31  % (809555)Instructions burned: 140 (million)
% 1.91/1.31  % (809564)lrs+10_1_sil=8000:sp=occurrence:random_seed=1216981348:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 1.91/1.31  % (809564)Also succeeded, but the first one will report.
% 1.91/1.31  % (809553)------------------------------
% 1.91/1.31  % (809553)------------------------------
% 1.91/1.31  % (809565)lrs+10_1_sil=32000:urr=on:br=off:random_seed=448282361:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.91/1.31  % (809565)Refutation not found, incomplete strategy
% 1.91/1.31  % (809565)------------------------------
% 1.91/1.31  % (809565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.91/1.31  % (809565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/1.31  % (809565)CaDiCaL version: 2.1.3
% 1.91/1.31  % (809565)Termination reason: Refutation not found, incomplete strategy
% 1.91/1.31  % (809565)Time elapsed: 0.004 s
% 1.91/1.31  % (809565)Peak memory usage: 89 MB
% 1.91/1.31  % (809565)Instructions burned: 4 (million)
% 1.91/1.31  % (809554)Refutation found. Thanks to Tanya!
% 1.91/1.31  % SZS status Theorem for theBenchmark
% 1.91/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.40  % (809554)------------------------------
% 0.15/1.40  % (809554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.40  % (809554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.40  % (809554)CaDiCaL version: 2.1.3
% 0.15/1.40  % (809554)Termination reason: Refutation
% 0.15/1.40  % (809554)Time elapsed: 0.033 s
% 0.15/1.40  % (809554)Peak memory usage: 88 MB
% 0.15/1.40  % (809554)Instructions burned: 54 (million)
% 0.15/1.40  % (809554)------------------------------
% 0.15/1.40  % (809554)------------------------------
% 0.15/1.40  % (809545)Success in time 0.467 s
% 0.15/1.40  % Vampire exiting
%------------------------------------------------------------------------------