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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : AGT016+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n019.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 : Fri Sep 25 12:50:58 PM UTC 2026

% Result   : Theorem 4.37s 1.28s
% Output   : CNFRefutation 4.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  15 unt;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :   79 (  36   ~;  28   |;  14   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :   15 (   0 sgn  11   !;   4   ?;   3   :)

% Comments : 
%------------------------------------------------------------------------------
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/Axioms/AGT001+0.ax',a2_9) ).

fof(f362,axiom,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_93) ).

fof(f472,axiom,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_203) ).

fof(f635,axiom,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    file('/export/starexec/sandbox2/benchmark/Axioms/AGT001+2.ax',deduced_366) ).

fof(f923,conjecture,
    ? [X0,X1] : ~ accept_population(muslimcountrybhumanitarianorganization,X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query_16) ).

fof(f924,negated_conjecture,
    ~ ? [X0,X1] : ~ accept_population(muslimcountrybhumanitarianorganization,X0,X1),
    inference(negated_conjecture,[status(cth)],[f923]) ).

fof(f951,plain,
    ! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X0,X1),
    inference(ennf_transformation,[],[f924]) ).

fof(f970,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(f971,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,[],[f970]) ).

fof(f1040,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) ),
    inference(cnf_transformation,[],[f971]) ).

fof(f1411,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(cnf_transformation,[],[f362]) ).

fof(f1521,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(cnf_transformation,[],[f472]) ).

fof(f1684,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(cnf_transformation,[],[f635]) ).

fof(f1972,plain,
    ! [X0,X1] : accept_population(muslimcountrybhumanitarianorganization,X0,X1),
    inference(cnf_transformation,[],[f951]) ).

tcf(c_112,plain,
    ! [X0: $i] :
      ( 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,[],[f1040]) ).

tcf(c_478,plain,
    accept_population(muslimcountrybhumanitarianorganization,other,n0),
    inference(cnf_transformation,[],[f1411]) ).

tcf(c_588,plain,
    accept_population(muslimcountrybhumanitarianorganization,native,n0),
    inference(cnf_transformation,[],[f1521]) ).

tcf(c_751,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(cnf_transformation,[],[f1684]) ).

tcf(c_1039,negated_conjecture,
    ! [X0: $i,X1: $i] : accept_population(muslimcountrybhumanitarianorganization,X0,X1),
    inference(cnf_transformation,[],[f1972]) ).

tcf(c_2084,plain,
    ( accept_city(muslimcountrybhumanitarianorganization,towna)
    | ~ accept_population(muslimcountrybhumanitarianorganization,other,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,native,n0)
    | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
    inference(superposition,[status(thm)],[c_1039,c_112]) ).

tcf(c_2334,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75)
    | ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24) ),
    inference(global_subsumption_just,[status(thm)],[c_2084,c_751,c_588,c_478,c_2084]) ).

tcf(c_2335,plain,
    ( ~ accept_population(muslimcountrybhumanitarianorganization,christian,n24)
    | ~ accept_population(muslimcountrybhumanitarianorganization,atheist,n75) ),
    inference(renaming,[status(thm)],[c_2334]) ).

tcf(c_2338,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_2335,c_1039,c_1039]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT016+2 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36  % Computer : n019.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Fri Sep 25 04:25:04 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 4.37/1.28  % SZS status Started for theBenchmark.p
% 4.37/1.28  % SZS status Theorem for theBenchmark.p
% 4.37/1.28  
% 4.37/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.37/1.28  
% 4.37/1.28  % ------  iProver source info
% 4.37/1.28  
% 4.37/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 4.37/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.37/1.28  % git: non_committed_changes: false
% 4.37/1.28  
% 4.37/1.28  % ------ Parsing...
% 4.37/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.37/1.28  % ------ Proving...
% 4.37/1.28  % ------ Problem Properties 
% 4.37/1.28  
% 4.37/1.28  % 
% 4.37/1.28  % clauses                               991
% 4.37/1.28  % conjectures                           1
% 4.37/1.28  % EPR                                   708
% 4.37/1.28  % Horn                                  990
% 4.37/1.28  % unary                                 892
% 4.37/1.28  % binary                                76
% 4.37/1.28  % lits                                  1155
% 4.37/1.28  % lits eq                               1
% 4.37/1.28  % fd_pure                               0
% 4.37/1.28  % fd_pseudo                             0
% 4.37/1.28  % fd_cond                               0
% 4.37/1.28  % fd_pseudo_cond                        1
% 4.37/1.28  % AC symbols                            0
% 4.37/1.28  
% 4.37/1.28  % ------ Input Options Time Limit: Unbounded
% 4.37/1.28  
% 4.37/1.28  
% 4.37/1.28  % ------ 
% 4.37/1.28  % Current options:
% 4.37/1.28  % ------ 
% 4.37/1.28  
% 4.37/1.28  
% 4.37/1.28  % 
% 4.37/1.28  
% 4.37/1.28  % ------ Proving...
% 4.37/1.28  % 
% 4.37/1.28  
% 4.37/1.28  % ------ Proving...
% 4.37/1.28  % 
% 4.37/1.28  
% 4.37/1.28  % ------ Proving...
% 4.37/1.28  % 
% 4.37/1.28  
% 4.37/1.28  % ------ Proving...
% 4.37/1.28  % 
% 4.37/1.28  
% 4.37/1.28  % ------ Proving...
% 4.37/1.28  % 
% 4.37/1.28  
% 4.37/1.28  % ------ Proving...
% 4.37/1.28  % 
% 4.37/1.28  
% 4.37/1.28  % SZS status Theorem for theBenchmark.p
% 4.37/1.28  
% 4.37/1.28  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.37/1.28  
% 4.37/1.28  
%------------------------------------------------------------------------------