TSTP Solution File: NLP267_17 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NLP267_17 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 02:45:39 EDT 2024

% Result   : Theorem 0.80s 1.18s
% Output   : CNFRefutation 0.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   24 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :  115 (   0 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   56 (  25   ~;  18   |;   7   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   60 (  60 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   12 (  11 usr;   8 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   23 (   3 sgn  14   !;   2   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,axiom,
    ! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_s)',X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p','mrel_universal_#idx(b_s)') ).

tff(f4,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
     => ( ( class(X0,second)
          & dest(X0,paris) )
       => price(X0,seventy) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

tff(f9,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
     => ( class(X0,second)
        & dest(X0,paris) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

tff(f10,conjecture,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
     => price(X0,seventy) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',verify) ).

tff(f11,negated_conjecture,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('#idx(b_s)','$ki_local_world',X0)
       => price(X0,seventy) ),
    inference(negated_conjecture,[],[f10]) ).

tff(f14,plain,
    ! [X0: '$ki_world'] :
      ( price(X0,seventy)
      | ~ class(X0,second)
      | ~ dest(X0,paris)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f4]) ).

tff(f15,plain,
    ! [X0: '$ki_world'] :
      ( price(X0,seventy)
      | ~ class(X0,second)
      | ~ dest(X0,paris)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(flattening,[],[f14]) ).

tff(f24,plain,
    ! [X0: '$ki_world'] :
      ( ( class(X0,second)
        & dest(X0,paris) )
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f9]) ).

tff(f25,plain,
    ? [X0: '$ki_world'] :
      ( ~ price(X0,seventy)
      & '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f11]) ).

tff(f26,plain,
    ( ? [X0: '$ki_world'] :
        ( ~ price(X0,seventy)
        & '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) )
   => ( ~ price(sK0,seventy)
      & '$ki_accessible'('#idx(b_s)','$ki_local_world',sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f27,plain,
    ( ~ price(sK0,seventy)
    & '$ki_accessible'('#idx(b_s)','$ki_local_world',sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f25,f26]) ).

tff(f28,plain,
    ! [X0: '$ki_world',X1: '$ki_world'] : '$ki_accessible'('#idx(b_s)',X0,X1),
    inference(cnf_transformation,[],[f1]) ).

tff(f31,plain,
    ! [X0: '$ki_world'] :
      ( price(X0,seventy)
      | ~ class(X0,second)
      | ~ dest(X0,paris)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f15]) ).

tff(f36,plain,
    ! [X0: '$ki_world'] :
      ( dest(X0,paris)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f24]) ).

tff(f37,plain,
    ! [X0: '$ki_world'] :
      ( class(X0,second)
      | ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f24]) ).

tff(f39,plain,
    ~ price(sK0,seventy),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_49,plain,
    '$ki_accessible'('#idx(b_s)',X0_13,X1_13),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_52,plain,
    ( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0_13)
    | ~ dest(X0_13,paris)
    | ~ class(X0_13,second)
    | price(X0_13,seventy) ),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_57,plain,
    ( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0_13)
    | class(X0_13,second) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_58,plain,
    ( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0_13)
    | dest(X0_13,paris) ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_59,negated_conjecture,
    ~ price(sK0,seventy),
    inference(cnf_transformation,[],[f39]) ).

cnf(c_77,plain,
    ( ~ '$ki_accessible'('#idx(b_s)','$ki_local_world',X0_13)
    | price(X0_13,seventy) ),
    inference(global_subsumption_just,[status(thm)],[c_52,c_58,c_57,c_52]) ).

cnf(c_85,plain,
    price(X0_13,seventy),
    inference(backward_subsumption_resolution,[status(thm)],[c_77,c_49]) ).

cnf(c_97,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_59,c_85]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : NLP267_17 : TPTP v8.2.0. Released v8.2.0.
% 0.10/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Thu May  2 18:18:42 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  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
% 0.80/1.18  % SZS status Started for theBenchmark.p
% 0.80/1.18  % SZS status Theorem for theBenchmark.p
% 0.80/1.18  
% 0.80/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.80/1.18  
% 0.80/1.18  ------  iProver source info
% 0.80/1.18  
% 0.80/1.18  git: date: 2024-05-02 19:28:25 +0000
% 0.80/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.80/1.18  git: non_committed_changes: false
% 0.80/1.18  
% 0.80/1.18  ------ Parsing...
% 0.80/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.80/1.18  
% 0.80/1.18  
% 0.80/1.18  ------ Preprocessing...
% 0.80/1.18  
% 0.80/1.18  % SZS status Theorem for theBenchmark.p
% 0.80/1.18  
% 0.80/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.80/1.18  
% 0.80/1.18  
%------------------------------------------------------------------------------