TSTP Solution File: AGT016+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : AGT016+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 02:02:56 EDT 2024

% Result   : Theorem 9.26s 2.14s
% Output   : CNFRefutation 9.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   36 (  16 unt;   0 def)
%            Number of atoms       :  102 (   6 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  125 (  59   ~;  45   |;  16   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :   58 (   6 sgn  35   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X3,X1] :
      ( any_agent_in_all_proposed_teams(X0,X3,X1)
     => accept_leader(X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_5) ).

fof(f6,axiom,
    ! [X0,X3,X1] :
      ( the_agent_not_in_any_proposed_teams(X0,X3,X1)
     => ~ ( accept_leader(X0,X3)
          & accept_city(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1_6) ).

fof(f16,axiom,
    ! [X0] :
      ( ( accept_population(X0,other,n0)
        & accept_population(X0,native,n0)
        & accept_population(X0,muslim,n1)
        & accept_population(X0,christian,n24)
        & accept_population(X0,atheist,n75) )
    <=> accept_city(X0,towna) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a2_9) ).

fof(f31,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_11) ).

fof(f32,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',event_12) ).

fof(f556,conjecture,
    ? [X6,X7] : ~ accept_population(muslimcountrybhumanitarianorganization,X6,X7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_16) ).

fof(f557,negated_conjecture,
    ~ ? [X6,X7] : ~ accept_population(muslimcountrybhumanitarianorganization,X6,X7),
    inference(negated_conjecture,[],[f556]) ).

fof(f561,plain,
    ! [X0,X1,X2] :
      ( any_agent_in_all_proposed_teams(X0,X1,X2)
     => accept_leader(X0,X1) ),
    inference(rectify,[],[f5]) ).

fof(f562,plain,
    ! [X0,X1,X2] :
      ( the_agent_not_in_any_proposed_teams(X0,X1,X2)
     => ~ ( accept_leader(X0,X1)
          & accept_city(X0,X2) ) ),
    inference(rectify,[],[f6]) ).

fof(f576,plain,
    ~ ? [X0,X1] : ~ accept_population(muslimcountrybhumanitarianorganization,X0,X1),
    inference(rectify,[],[f557]) ).

fof(f586,plain,
    ! [X0,X1,X2] :
      ( accept_leader(X0,X1)
      | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f561]) ).

fof(f587,plain,
    ! [X0,X1,X2] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(ennf_transformation,[],[f562]) ).

fof(f588,plain,
    ! [X0,X1,X2] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(flattening,[],[f587]) ).

fof(f603,plain,
    ! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X0,X1),
    inference(ennf_transformation,[],[f576]) ).

fof(f622,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n0)
          & accept_population(X0,muslim,n1)
          & accept_population(X0,christian,n24)
          & accept_population(X0,atheist,n75) )
        | ~ accept_city(X0,towna) )
      & ( accept_city(X0,towna)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,muslim,n1)
        | ~ accept_population(X0,christian,n24)
        | ~ accept_population(X0,atheist,n75) ) ),
    inference(nnf_transformation,[],[f16]) ).

fof(f623,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n0)
          & accept_population(X0,native,n0)
          & accept_population(X0,muslim,n1)
          & accept_population(X0,christian,n24)
          & accept_population(X0,atheist,n75) )
        | ~ accept_city(X0,towna) )
      & ( accept_city(X0,towna)
        | ~ accept_population(X0,other,n0)
        | ~ accept_population(X0,native,n0)
        | ~ accept_population(X0,muslim,n1)
        | ~ accept_population(X0,christian,n24)
        | ~ accept_population(X0,atheist,n75) ) ),
    inference(flattening,[],[f622]) ).

fof(f642,plain,
    ! [X2,X0,X1] :
      ( accept_leader(X0,X1)
      | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f643,plain,
    ! [X2,X0,X1] :
      ( ~ accept_leader(X0,X1)
      | ~ accept_city(X0,X2)
      | ~ the_agent_not_in_any_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f588]) ).

fof(f692,plain,
    ! [X0] :
      ( accept_city(X0,towna)
      | ~ accept_population(X0,other,n0)
      | ~ accept_population(X0,native,n0)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,christian,n24)
      | ~ accept_population(X0,atheist,n75) ),
    inference(cnf_transformation,[],[f623]) ).

fof(f732,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f31]) ).

fof(f733,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f32]) ).

fof(f1257,plain,
    ! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X0,X1),
    inference(cnf_transformation,[],[f603]) ).

cnf(c_57,plain,
    ( ~ any_agent_in_all_proposed_teams(X0,X1,X2)
    | accept_leader(X0,X1) ),
    inference(cnf_transformation,[],[f642]) ).

cnf(c_58,plain,
    ( ~ the_agent_not_in_any_proposed_teams(X0,X1,X2)
    | ~ accept_leader(X0,X1)
    | ~ accept_city(X0,X2) ),
    inference(cnf_transformation,[],[f643]) ).

cnf(c_112,plain,
    ( ~ accept_population(X0,other,n0)
    | ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,muslim,n1)
    | ~ accept_population(X0,christian,n24)
    | ~ accept_population(X0,atheist,n75)
    | accept_city(X0,towna) ),
    inference(cnf_transformation,[],[f692]) ).

cnf(c_147,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f732]) ).

cnf(c_148,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f733]) ).

cnf(c_672,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,X0,X1),
    inference(cnf_transformation,[],[f1257]) ).

cnf(c_2888,plain,
    ( X0 != muslimcountrybhumanitarianorganization
    | X1 != countryacivilorganization
    | X2 != towna
    | ~ accept_leader(X0,X1)
    | ~ accept_city(X0,X2) ),
    inference(resolution_lifted,[status(thm)],[c_58,c_147]) ).

cnf(c_2889,plain,
    ( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(unflattening,[status(thm)],[c_2888]) ).

cnf(c_3168,plain,
    ( X0 != muslimcountrybhumanitarianorganization
    | X1 != countryacivilorganization
    | X2 != towna
    | accept_leader(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_148]) ).

cnf(c_3169,plain,
    accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference(unflattening,[status(thm)],[c_3168]) ).

cnf(c_3315,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(backward_subsumption_resolution,[status(thm)],[c_2889,c_3169]) ).

cnf(c_6597,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,X0,X1),
    inference(demodulation,[status(thm)],[c_672]) ).

cnf(c_17700,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(superposition,[status(thm)],[c_6597,c_112]) ).

cnf(c_17701,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_17700,c_3315,c_6597,c_6597,c_6597,c_6597]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : AGT016+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 22:02:04 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.17/0.45  Running first-order theorem proving
% 0.17/0.45  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
% 9.26/2.14  % SZS status Started for theBenchmark.p
% 9.26/2.14  % SZS status Theorem for theBenchmark.p
% 9.26/2.14  
% 9.26/2.14  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 9.26/2.14  
% 9.26/2.14  ------  iProver source info
% 9.26/2.14  
% 9.26/2.14  git: date: 2024-05-02 19:28:25 +0000
% 9.26/2.14  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 9.26/2.14  git: non_committed_changes: false
% 9.26/2.14  
% 9.26/2.14  ------ Parsing...
% 9.26/2.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 9.26/2.14  
% 9.26/2.14  ------ 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: 4 0s  sf_e  pe_s  pe_e 
% 9.26/2.14  
% 9.26/2.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 9.26/2.14  
% 9.26/2.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 9.26/2.14  ------ Proving...
% 9.26/2.14  ------ Problem Properties 
% 9.26/2.14  
% 9.26/2.14  
% 9.26/2.14  clauses                                 614
% 9.26/2.14  conjectures                             1
% 9.26/2.14  EPR                                     331
% 9.26/2.14  Horn                                    613
% 9.26/2.14  unary                                   519
% 9.26/2.14  binary                                  73
% 9.26/2.14  lits                                    773
% 9.26/2.14  lits eq                                 1
% 9.26/2.14  fd_pure                                 0
% 9.26/2.14  fd_pseudo                               0
% 9.26/2.14  fd_cond                                 0
% 9.26/2.14  fd_pseudo_cond                          1
% 9.26/2.14  AC symbols                              0
% 9.26/2.14  
% 9.26/2.14  ------ Schedule dynamic 5 is on 
% 9.26/2.14  
% 9.26/2.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.26/2.14  
% 9.26/2.14  
% 9.26/2.14  ------ 
% 9.26/2.14  Current options:
% 9.26/2.14  ------ 
% 9.26/2.14  
% 9.26/2.14  
% 9.26/2.14  
% 9.26/2.14  
% 9.26/2.14  ------ Proving...
% 9.26/2.14  
% 9.26/2.14  
% 9.26/2.14  % SZS status Theorem for theBenchmark.p
% 9.26/2.14  
% 9.26/2.14  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.26/2.14  
% 9.26/2.15  
%------------------------------------------------------------------------------