TSTP Solution File: AGT014+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : AGT014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 02:02:55 EDT 2024

% Result   : Theorem 2.44s 1.10s
% Output   : CNFRefutation 2.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   46 (  17 unt;   0 def)
%            Number of atoms       :  157 (   5 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  202 (  91   ~;  75   |;  30   &)
%                                         (   2 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  17 con; 0-0 aty)
%            Number of variables   :   75 (   8 sgn  42   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X3,X1] :
      ( any_agent_in_all_proposed_teams(X0,X3,X1)
     => accept_leader(X0,X3) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',a1_6) ).

fof(f11,axiom,
    ! [X0] :
      ( ( accept_population(X0,other,n4)
        & accept_population(X0,native,n10)
        & accept_population(X0,muslim,n1)
        & accept_population(X0,christian,n15)
        & accept_population(X0,atheist,n70) )
    <=> accept_city(X0,centrallakecity) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2_4) ).

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/sandbox2/benchmark/theBenchmark.p',a2_9) ).

fof(f31,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_11) ).

fof(f32,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',event_12) ).

fof(f556,conjecture,
    ? [X6,X7,X8] : ~ accept_population(X6,X7,X8),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_14) ).

fof(f557,negated_conjecture,
    ~ ? [X6,X7,X8] : ~ accept_population(X6,X7,X8),
    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,X2] : ~ accept_population(X0,X1,X2),
    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,X2] : accept_population(X0,X1,X2),
    inference(ennf_transformation,[],[f576]) ).

fof(f612,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n4)
          & accept_population(X0,native,n10)
          & accept_population(X0,muslim,n1)
          & accept_population(X0,christian,n15)
          & accept_population(X0,atheist,n70) )
        | ~ accept_city(X0,centrallakecity) )
      & ( accept_city(X0,centrallakecity)
        | ~ accept_population(X0,other,n4)
        | ~ accept_population(X0,native,n10)
        | ~ accept_population(X0,muslim,n1)
        | ~ accept_population(X0,christian,n15)
        | ~ accept_population(X0,atheist,n70) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f613,plain,
    ! [X0] :
      ( ( ( accept_population(X0,other,n4)
          & accept_population(X0,native,n10)
          & accept_population(X0,muslim,n1)
          & accept_population(X0,christian,n15)
          & accept_population(X0,atheist,n70) )
        | ~ accept_city(X0,centrallakecity) )
      & ( accept_city(X0,centrallakecity)
        | ~ accept_population(X0,other,n4)
        | ~ accept_population(X0,native,n10)
        | ~ accept_population(X0,muslim,n1)
        | ~ accept_population(X0,christian,n15)
        | ~ accept_population(X0,atheist,n70) ) ),
    inference(flattening,[],[f612]) ).

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(f662,plain,
    ! [X0] :
      ( accept_city(X0,centrallakecity)
      | ~ accept_population(X0,other,n4)
      | ~ accept_population(X0,native,n10)
      | ~ accept_population(X0,muslim,n1)
      | ~ accept_population(X0,christian,n15)
      | ~ accept_population(X0,atheist,n70) ),
    inference(cnf_transformation,[],[f613]) ).

fof(f665,plain,
    ! [X0] :
      ( accept_population(X0,muslim,n1)
      | ~ accept_city(X0,centrallakecity) ),
    inference(cnf_transformation,[],[f613]) ).

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,
    ! [X2,X0,X1] : accept_population(X0,X1,X2),
    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_79,plain,
    ( ~ accept_city(X0,centrallakecity)
    | accept_population(X0,muslim,n1) ),
    inference(cnf_transformation,[],[f665]) ).

cnf(c_82,plain,
    ( ~ accept_population(X0,other,n4)
    | ~ accept_population(X0,native,n10)
    | ~ accept_population(X0,muslim,n1)
    | ~ accept_population(X0,christian,n15)
    | ~ accept_population(X0,atheist,n70)
    | accept_city(X0,centrallakecity) ),
    inference(cnf_transformation,[],[f662]) ).

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(X0,X1,X2),
    inference(cnf_transformation,[],[f1257]) ).

cnf(c_989,plain,
    ( ~ accept_population(X0,native,n10)
    | ~ accept_population(X0,muslim,n1)
    | ~ accept_population(X0,christian,n15)
    | ~ accept_population(X0,atheist,n70)
    | accept_city(X0,centrallakecity) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_82,c_672]) ).

cnf(c_992,plain,
    ( ~ 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(backward_subsumption_resolution,[status(thm)],[c_112,c_672]) ).

cnf(c_1967,plain,
    accept_city(X0,centrallakecity),
    inference(forward_subsumption_resolution,[status(thm)],[c_989,c_672,c_672,c_672,c_672]) ).

cnf(c_1994,plain,
    ( ~ accept_population(X0,native,n0)
    | ~ accept_population(X0,christian,n24)
    | ~ accept_population(X0,atheist,n75)
    | accept_city(X0,towna) ),
    inference(global_subsumption_just,[status(thm)],[c_992,c_79,c_992,c_1967]) ).

cnf(c_2001,plain,
    accept_city(X0,towna),
    inference(forward_subsumption_resolution,[status(thm)],[c_1994,c_672,c_672,c_672]) ).

cnf(c_2213,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_2214,plain,
    ( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(unflattening,[status(thm)],[c_2213]) ).

cnf(c_2219,plain,
    ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference(forward_subsumption_resolution,[status(thm)],[c_2214,c_2001]) ).

cnf(c_2374,plain,
    ( X0 != muslimcountrybhumanitarianorganization
    | X1 != countryacivilorganization
    | ~ any_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(resolution_lifted,[status(thm)],[c_57,c_2219]) ).

cnf(c_2375,plain,
    ~ any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,X0),
    inference(unflattening,[status(thm)],[c_2374]) ).

cnf(c_2441,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_148,c_2375]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : AGT014+1 : TPTP v8.1.2. Bugfixed v3.1.0.
% 0.05/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n005.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Thu May  2 22:04:26 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.44/1.10  % SZS status Started for theBenchmark.p
% 2.44/1.10  % SZS status Theorem for theBenchmark.p
% 2.44/1.10  
% 2.44/1.10  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 2.44/1.10  
% 2.44/1.10  ------  iProver source info
% 2.44/1.10  
% 2.44/1.10  git: date: 2024-05-02 19:28:25 +0000
% 2.44/1.10  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 2.44/1.10  git: non_committed_changes: false
% 2.44/1.10  
% 2.44/1.10  ------ Parsing...
% 2.44/1.10  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.44/1.10  
% 2.44/1.10  ------ Preprocessing... sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s
% 2.44/1.10  
% 2.44/1.10  % SZS status Theorem for theBenchmark.p
% 2.44/1.10  
% 2.44/1.10  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.44/1.11  
% 2.44/1.11  
%------------------------------------------------------------------------------