TSTP Solution File: MGT048+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : MGT048+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 : Fri May  3 02:43:47 EDT 2024

% Result   : Theorem 0.47s 1.15s
% Output   : CNFRefutation 0.47s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

fof(f7,axiom,
    ! [X0,X3,X4] :
      ( organization(X0)
     => ( ( ( internal_friction(X0,X4) = internal_friction(X0,X3)
            & stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3) )
         => capability(X0,X4) = capability(X0,X3) )
        & ( ( greater(internal_friction(X0,X4),internal_friction(X0,X3))
            & smaller_or_equal(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
         => smaller(capability(X0,X4),capability(X0,X3)) )
        & ( ( smaller_or_equal(internal_friction(X0,X4),internal_friction(X0,X3))
            & greater(stock_of_knowledge(X0,X4),stock_of_knowledge(X0,X3)) )
         => greater(capability(X0,X4),capability(X0,X3)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_5) ).

fof(f8,axiom,
    ! [X0,X3,X4] :
      ( organization(X0)
     => stock_of_knowledge(X0,X4) = stock_of_knowledge(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_10) ).

fof(f9,axiom,
    ! [X0,X3,X4] :
      ( ( greater(age(X0,X4),age(X0,X3))
        & organization(X0) )
     => greater(internal_friction(X0,X4),internal_friction(X0,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',assumption_12) ).

fof(f10,conjecture,
    ! [X0,X3,X4] :
      ( ( greater(age(X0,X4),age(X0,X3))
        & organization(X0) )
     => smaller(capability(X0,X4),capability(X0,X3)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_5) ).

fof(f11,negated_conjecture,
    ~ ! [X0,X3,X4] :
        ( ( greater(age(X0,X4),age(X0,X3))
          & organization(X0) )
       => smaller(capability(X0,X4),capability(X0,X3)) ),
    inference(negated_conjecture,[],[f10]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( organization(X0)
     => ( ( ( internal_friction(X0,X2) = internal_friction(X0,X1)
            & stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) )
         => capability(X0,X2) = capability(X0,X1) )
        & ( ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
            & smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
         => smaller(capability(X0,X2),capability(X0,X1)) )
        & ( ( smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
            & greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
         => greater(capability(X0,X2),capability(X0,X1)) ) ) ),
    inference(rectify,[],[f7]) ).

fof(f13,plain,
    ! [X0,X1,X2] :
      ( organization(X0)
     => stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1) ),
    inference(rectify,[],[f8]) ).

fof(f14,plain,
    ! [X0,X1,X2] :
      ( ( greater(age(X0,X2),age(X0,X1))
        & organization(X0) )
     => greater(internal_friction(X0,X2),internal_friction(X0,X1)) ),
    inference(rectify,[],[f9]) ).

fof(f15,plain,
    ~ ! [X0,X1,X2] :
        ( ( greater(age(X0,X2),age(X0,X1))
          & organization(X0) )
       => smaller(capability(X0,X2),capability(X0,X1)) ),
    inference(rectify,[],[f11]) ).

fof(f16,plain,
    ! [X0,X1] :
      ( ( X0 = X1
        | smaller(X0,X1) )
     => smaller_or_equal(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f1]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
      | ( X0 != X1
        & ~ smaller(X0,X1) ) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f21,plain,
    ! [X0,X1,X2] :
      ( ( ( capability(X0,X2) = capability(X0,X1)
          | internal_friction(X0,X2) != internal_friction(X0,X1)
          | stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1) )
        & ( smaller(capability(X0,X2),capability(X0,X1))
          | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
          | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
        & ( greater(capability(X0,X2),capability(X0,X1))
          | ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
          | ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ) )
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f22,plain,
    ! [X0,X1,X2] :
      ( ( ( capability(X0,X2) = capability(X0,X1)
          | internal_friction(X0,X2) != internal_friction(X0,X1)
          | stock_of_knowledge(X0,X2) != stock_of_knowledge(X0,X1) )
        & ( smaller(capability(X0,X2),capability(X0,X1))
          | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
          | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) )
        & ( greater(capability(X0,X2),capability(X0,X1))
          | ~ smaller_or_equal(internal_friction(X0,X2),internal_friction(X0,X1))
          | ~ greater(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1)) ) )
      | ~ organization(X0) ),
    inference(flattening,[],[f21]) ).

fof(f23,plain,
    ! [X0,X1,X2] :
      ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | ~ greater(age(X0,X2),age(X0,X1))
      | ~ organization(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f25,plain,
    ! [X0,X1,X2] :
      ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | ~ greater(age(X0,X2),age(X0,X1))
      | ~ organization(X0) ),
    inference(flattening,[],[f24]) ).

fof(f26,plain,
    ? [X0,X1,X2] :
      ( ~ smaller(capability(X0,X2),capability(X0,X1))
      & greater(age(X0,X2),age(X0,X1))
      & organization(X0) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f27,plain,
    ? [X0,X1,X2] :
      ( ~ smaller(capability(X0,X2),capability(X0,X1))
      & greater(age(X0,X2),age(X0,X1))
      & organization(X0) ),
    inference(flattening,[],[f26]) ).

fof(f29,plain,
    ( ? [X0,X1,X2] :
        ( ~ smaller(capability(X0,X2),capability(X0,X1))
        & greater(age(X0,X2),age(X0,X1))
        & organization(X0) )
   => ( ~ smaller(capability(sK0,sK2),capability(sK0,sK1))
      & greater(age(sK0,sK2),age(sK0,sK1))
      & organization(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f30,plain,
    ( ~ smaller(capability(sK0,sK2),capability(sK0,sK1))
    & greater(age(sK0,sK2),age(sK0,sK1))
    & organization(sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f27,f29]) ).

fof(f32,plain,
    ! [X0,X1] :
      ( smaller_or_equal(X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f17]) ).

fof(f39,plain,
    ! [X2,X0,X1] :
      ( smaller(capability(X0,X2),capability(X0,X1))
      | ~ greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | ~ smaller_or_equal(stock_of_knowledge(X0,X2),stock_of_knowledge(X0,X1))
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f22]) ).

fof(f41,plain,
    ! [X2,X0,X1] :
      ( stock_of_knowledge(X0,X2) = stock_of_knowledge(X0,X1)
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f23]) ).

fof(f42,plain,
    ! [X2,X0,X1] :
      ( greater(internal_friction(X0,X2),internal_friction(X0,X1))
      | ~ greater(age(X0,X2),age(X0,X1))
      | ~ organization(X0) ),
    inference(cnf_transformation,[],[f25]) ).

fof(f43,plain,
    organization(sK0),
    inference(cnf_transformation,[],[f30]) ).

fof(f44,plain,
    greater(age(sK0,sK2),age(sK0,sK1)),
    inference(cnf_transformation,[],[f30]) ).

fof(f45,plain,
    ~ smaller(capability(sK0,sK2),capability(sK0,sK1)),
    inference(cnf_transformation,[],[f30]) ).

fof(f46,plain,
    ! [X1] : smaller_or_equal(X1,X1),
    inference(equality_resolution,[],[f32]) ).

cnf(c_49,plain,
    smaller_or_equal(X0,X0),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_57,plain,
    ( ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
    | ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
    | ~ organization(X0)
    | smaller(capability(X0,X1),capability(X0,X2)) ),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_59,plain,
    ( ~ organization(X0)
    | stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_60,plain,
    ( ~ greater(age(X0,X1),age(X0,X2))
    | ~ organization(X0)
    | greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_61,negated_conjecture,
    ~ smaller(capability(sK0,sK2),capability(sK0,sK1)),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_62,negated_conjecture,
    greater(age(sK0,sK2),age(sK0,sK1)),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_63,negated_conjecture,
    organization(sK0),
    inference(cnf_transformation,[],[f43]) ).

cnf(c_221,plain,
    ( X0 != sK0
    | ~ greater(age(X0,X1),age(X0,X2))
    | greater(internal_friction(X0,X1),internal_friction(X0,X2)) ),
    inference(resolution_lifted,[status(thm)],[c_60,c_63]) ).

cnf(c_222,plain,
    ( ~ greater(age(sK0,X0),age(sK0,X1))
    | greater(internal_friction(sK0,X0),internal_friction(sK0,X1)) ),
    inference(unflattening,[status(thm)],[c_221]) ).

cnf(c_230,plain,
    ( X0 != sK0
    | stock_of_knowledge(X0,X1) = stock_of_knowledge(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_59,c_63]) ).

cnf(c_231,plain,
    stock_of_knowledge(sK0,X0) = stock_of_knowledge(sK0,X1),
    inference(unflattening,[status(thm)],[c_230]) ).

cnf(c_248,plain,
    ( X0 != sK0
    | ~ smaller_or_equal(stock_of_knowledge(X0,X1),stock_of_knowledge(X0,X2))
    | ~ greater(internal_friction(X0,X1),internal_friction(X0,X2))
    | smaller(capability(X0,X1),capability(X0,X2)) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_63]) ).

cnf(c_249,plain,
    ( ~ smaller_or_equal(stock_of_knowledge(sK0,X0),stock_of_knowledge(sK0,X1))
    | ~ greater(internal_friction(sK0,X0),internal_friction(sK0,X1))
    | smaller(capability(sK0,X0),capability(sK0,X1)) ),
    inference(unflattening,[status(thm)],[c_248]) ).

cnf(c_283,plain,
    ( stock_of_knowledge(sK0,X0) != X1
    | stock_of_knowledge(sK0,X2) != X1
    | ~ greater(internal_friction(sK0,X0),internal_friction(sK0,X2))
    | smaller(capability(sK0,X0),capability(sK0,X2)) ),
    inference(resolution_lifted,[status(thm)],[c_49,c_249]) ).

cnf(c_284,plain,
    ( stock_of_knowledge(sK0,X0) != stock_of_knowledge(sK0,X1)
    | ~ greater(internal_friction(sK0,X1),internal_friction(sK0,X0))
    | smaller(capability(sK0,X1),capability(sK0,X0)) ),
    inference(unflattening,[status(thm)],[c_283]) ).

cnf(c_286,plain,
    ( ~ greater(internal_friction(sK0,X1),internal_friction(sK0,X0))
    | smaller(capability(sK0,X1),capability(sK0,X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_284,c_231,c_284]) ).

cnf(c_287,plain,
    ( ~ greater(internal_friction(sK0,X0),internal_friction(sK0,X1))
    | smaller(capability(sK0,X0),capability(sK0,X1)) ),
    inference(renaming,[status(thm)],[c_286]) ).

cnf(c_634,plain,
    age(sK0,sK2) = sP0_iProver_def,
    definition ).

cnf(c_635,plain,
    age(sK0,sK1) = sP1_iProver_def,
    definition ).

cnf(c_636,plain,
    capability(sK0,sK2) = sP2_iProver_def,
    definition ).

cnf(c_637,plain,
    capability(sK0,sK1) = sP3_iProver_def,
    definition ).

cnf(c_638,negated_conjecture,
    greater(sP0_iProver_def,sP1_iProver_def),
    inference(demodulation,[status(thm)],[c_62,c_635,c_634]) ).

cnf(c_639,negated_conjecture,
    ~ smaller(sP2_iProver_def,sP3_iProver_def),
    inference(demodulation,[status(thm)],[c_61,c_637,c_636]) ).

cnf(c_930,plain,
    ( ~ greater(sP0_iProver_def,age(sK0,X0))
    | greater(internal_friction(sK0,sK2),internal_friction(sK0,X0)) ),
    inference(superposition,[status(thm)],[c_634,c_222]) ).

cnf(c_983,plain,
    ( ~ greater(sP0_iProver_def,age(sK0,X0))
    | smaller(capability(sK0,sK2),capability(sK0,X0)) ),
    inference(superposition,[status(thm)],[c_930,c_287]) ).

cnf(c_984,plain,
    ( ~ greater(sP0_iProver_def,age(sK0,X0))
    | smaller(sP2_iProver_def,capability(sK0,X0)) ),
    inference(light_normalisation,[status(thm)],[c_983,c_636]) ).

cnf(c_1891,plain,
    ( ~ greater(sP0_iProver_def,sP1_iProver_def)
    | smaller(sP2_iProver_def,capability(sK0,sK1)) ),
    inference(superposition,[status(thm)],[c_635,c_984]) ).

cnf(c_1892,plain,
    ( ~ greater(sP0_iProver_def,sP1_iProver_def)
    | smaller(sP2_iProver_def,sP3_iProver_def) ),
    inference(light_normalisation,[status(thm)],[c_1891,c_637]) ).

cnf(c_1893,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1892,c_639,c_638]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : MGT048+1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Thu May  2 23:14:21 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.47/1.15  % SZS status Started for theBenchmark.p
% 0.47/1.15  % SZS status Theorem for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.47/1.15  
% 0.47/1.15  ------  iProver source info
% 0.47/1.15  
% 0.47/1.15  git: date: 2024-05-02 19:28:25 +0000
% 0.47/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.47/1.15  git: non_committed_changes: false
% 0.47/1.15  
% 0.47/1.15  ------ Parsing...
% 0.47/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.47/1.15  
% 0.47/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.47/1.15  ------ Proving...
% 0.47/1.15  ------ Problem Properties 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  clauses                                 17
% 0.47/1.15  conjectures                             2
% 0.47/1.15  EPR                                     7
% 0.47/1.15  Horn                                    16
% 0.47/1.15  unary                                   7
% 0.47/1.15  binary                                  6
% 0.47/1.15  lits                                    31
% 0.47/1.15  lits eq                                 9
% 0.47/1.15  fd_pure                                 0
% 0.47/1.15  fd_pseudo                               0
% 0.47/1.15  fd_cond                                 0
% 0.47/1.15  fd_pseudo_cond                          1
% 0.47/1.15  AC symbols                              0
% 0.47/1.15  
% 0.47/1.15  ------ Schedule dynamic 5 is on 
% 0.47/1.15  
% 0.47/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ 
% 0.47/1.15  Current options:
% 0.47/1.15  ------ 
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  ------ Proving...
% 0.47/1.15  
% 0.47/1.15  
% 0.47/1.15  % SZS status Theorem for theBenchmark.p
% 0.47/1.15  
% 0.47/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.47/1.15  
% 0.47/1.16  
%------------------------------------------------------------------------------