TSTP Solution File: NLP267_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : NLP267_1 : TPTP v8.2.0. Released v8.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 0.82s 1.19s
% Output   : CNFRefutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :  104 (   0 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :   57 (  26   ~;  19   |;   5   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   48 (  48 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   18 (   0 sgn  12   !;   2   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f2,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => ( ( class(X0,second)
          & dest(X0,paris) )
       => price(X0,seventy) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',law2) ).

tff(f5,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => dest(X0,paris) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief1) ).

tff(f6,axiom,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => class(X0,second) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',belief2) ).

tff(f7,conjecture,
    ! [X0: '$ki_world'] :
      ( '$ki_accessible'('$ki_local_world',X0)
     => price(X0,seventy) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).

tff(f8,negated_conjecture,
    ~ ! [X0: '$ki_world'] :
        ( '$ki_accessible'('$ki_local_world',X0)
       => price(X0,seventy) ),
    inference(negated_conjecture,[],[f7]) ).

tff(f11,plain,
    ! [X0: '$ki_world'] :
      ( price(X0,seventy)
      | ~ class(X0,second)
      | ~ dest(X0,paris)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f2]) ).

tff(f12,plain,
    ! [X0: '$ki_world'] :
      ( price(X0,seventy)
      | ~ class(X0,second)
      | ~ dest(X0,paris)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(flattening,[],[f11]) ).

tff(f17,plain,
    ! [X0: '$ki_world'] :
      ( dest(X0,paris)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f5]) ).

tff(f18,plain,
    ! [X0: '$ki_world'] :
      ( class(X0,second)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f19,plain,
    ? [X0: '$ki_world'] :
      ( ~ price(X0,seventy)
      & '$ki_accessible'('$ki_local_world',X0) ),
    inference(ennf_transformation,[],[f8]) ).

tff(f20,plain,
    ( ? [X0: '$ki_world'] :
        ( ~ price(X0,seventy)
        & '$ki_accessible'('$ki_local_world',X0) )
   => ( ~ price(sK0,seventy)
      & '$ki_accessible'('$ki_local_world',sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f21,plain,
    ( ~ price(sK0,seventy)
    & '$ki_accessible'('$ki_local_world',sK0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f19,f20]) ).

tff(f23,plain,
    ! [X0: '$ki_world'] :
      ( price(X0,seventy)
      | ~ class(X0,second)
      | ~ dest(X0,paris)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f12]) ).

tff(f26,plain,
    ! [X0: '$ki_world'] :
      ( dest(X0,paris)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f27,plain,
    ! [X0: '$ki_world'] :
      ( class(X0,second)
      | ~ '$ki_accessible'('$ki_local_world',X0) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f28,plain,
    '$ki_accessible'('$ki_local_world',sK0),
    inference(cnf_transformation,[],[f21]) ).

tff(f29,plain,
    ~ price(sK0,seventy),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_50,plain,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | ~ dest(X0_13,paris)
    | ~ class(X0_13,second)
    | price(X0_13,seventy) ),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_53,plain,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | dest(X0_13,paris) ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_54,plain,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | class(X0_13,second) ),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_55,negated_conjecture,
    ~ price(sK0,seventy),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_56,negated_conjecture,
    '$ki_accessible'('$ki_local_world',sK0),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_69,plain,
    ( ~ '$ki_accessible'('$ki_local_world',X0_13)
    | price(X0_13,seventy) ),
    inference(global_subsumption_just,[status(thm)],[c_50,c_54,c_53,c_50]) ).

cnf(c_98,plain,
    price(sK0,seventy),
    inference(resolution,[status(thm)],[c_69,c_56]) ).

cnf(c_99,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_98,c_55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NLP267_1 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n011.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu May  2 18:35:03 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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
% 0.82/1.19  % SZS status Started for theBenchmark.p
% 0.82/1.19  % SZS status Theorem for theBenchmark.p
% 0.82/1.19  
% 0.82/1.19  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.82/1.19  
% 0.82/1.19  ------  iProver source info
% 0.82/1.19  
% 0.82/1.19  git: date: 2024-05-02 19:28:25 +0000
% 0.82/1.19  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.82/1.19  git: non_committed_changes: false
% 0.82/1.19  
% 0.82/1.19  ------ Parsing...
% 0.82/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 0.82/1.19  
% 0.82/1.19  
% 0.82/1.19  ------ Preprocessing... pe_s  pe:1:0s pe:2:0s
% 0.82/1.19  
% 0.82/1.19  % SZS status Theorem for theBenchmark.p
% 0.82/1.19  
% 0.82/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.82/1.19  
% 0.82/1.19  
%------------------------------------------------------------------------------