TSTP Solution File: PUZ130+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n018.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 : Thu Aug 31 13:20:21 EDT 2023

% Result   : Theorem 0.79s 1.19s
% Output   : CNFRefutation 0.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   57 (  27 unt;   0 def)
%            Number of atoms       :  127 (  22 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  128 (  58   ~;  53   |;   5   &)
%                                         (   4 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   42 (   0 sgn;  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    cat(garfield),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',garfield_type) ).

fof(f4,axiom,
    dog(odie),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odie_type) ).

fof(f6,axiom,
    ! [X0] :
      ( dog(X0)
     => pet(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dog_pet_type) ).

fof(f7,axiom,
    ! [X0] :
      ( cat(X0)
     => pet(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cat_pet_type) ).

fof(f9,axiom,
    human(jon),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_type) ).

fof(f12,axiom,
    owner(jon,odie),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_o_owner_axiom) ).

fof(f13,axiom,
    owner(jon,garfield),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_g_owner_axiom) ).

fof(f16,axiom,
    ! [X1,X2] :
      ( ( dog(X2)
        & cat(X1) )
     => ( chased(X2,X1)
       => hates(owner_of(X1),owner_of(X2)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cat_chase_axiom) ).

fof(f17,axiom,
    ! [X1,X2] :
      ( ( pet(X2)
        & human(X1) )
     => ( owner(X1,X2)
      <=> owner_of(X2) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owner_def) ).

fof(f18,axiom,
    chased(odie,garfield),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odie_chase_axiom) ).

fof(f19,conjecture,
    hates(jon,jon),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_conjecture) ).

fof(f20,negated_conjecture,
    ~ hates(jon,jon),
    inference(negated_conjecture,[],[f19]) ).

fof(f24,plain,
    ! [X0,X1] :
      ( ( dog(X1)
        & cat(X0) )
     => ( chased(X1,X0)
       => hates(owner_of(X0),owner_of(X1)) ) ),
    inference(rectify,[],[f16]) ).

fof(f25,plain,
    ! [X0,X1] :
      ( ( pet(X1)
        & human(X0) )
     => ( owner(X0,X1)
      <=> owner_of(X1) = X0 ) ),
    inference(rectify,[],[f17]) ).

fof(f26,plain,
    ~ hates(jon,jon),
    inference(flattening,[],[f20]) ).

fof(f27,plain,
    ! [X0] :
      ( pet(X0)
      | ~ dog(X0) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f28,plain,
    ! [X0] :
      ( pet(X0)
      | ~ cat(X0) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( hates(owner_of(X0),owner_of(X1))
      | ~ chased(X1,X0)
      | ~ dog(X1)
      | ~ cat(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f34,plain,
    ! [X0,X1] :
      ( hates(owner_of(X0),owner_of(X1))
      | ~ chased(X1,X0)
      | ~ dog(X1)
      | ~ cat(X0) ),
    inference(flattening,[],[f33]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ( owner(X0,X1)
      <=> owner_of(X1) = X0 )
      | ~ pet(X1)
      | ~ human(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ( owner(X0,X1)
      <=> owner_of(X1) = X0 )
      | ~ pet(X1)
      | ~ human(X0) ),
    inference(flattening,[],[f35]) ).

fof(f51,plain,
    ! [X0,X1] :
      ( ( ( owner(X0,X1)
          | owner_of(X1) != X0 )
        & ( owner_of(X1) = X0
          | ~ owner(X0,X1) ) )
      | ~ pet(X1)
      | ~ human(X0) ),
    inference(nnf_transformation,[],[f36]) ).

fof(f53,plain,
    cat(garfield),
    inference(cnf_transformation,[],[f2]) ).

fof(f55,plain,
    dog(odie),
    inference(cnf_transformation,[],[f4]) ).

fof(f57,plain,
    ! [X0] :
      ( pet(X0)
      | ~ dog(X0) ),
    inference(cnf_transformation,[],[f27]) ).

fof(f58,plain,
    ! [X0] :
      ( pet(X0)
      | ~ cat(X0) ),
    inference(cnf_transformation,[],[f28]) ).

fof(f60,plain,
    human(jon),
    inference(cnf_transformation,[],[f9]) ).

fof(f64,plain,
    owner(jon,odie),
    inference(cnf_transformation,[],[f12]) ).

fof(f65,plain,
    owner(jon,garfield),
    inference(cnf_transformation,[],[f13]) ).

fof(f70,plain,
    ! [X0,X1] :
      ( hates(owner_of(X0),owner_of(X1))
      | ~ chased(X1,X0)
      | ~ dog(X1)
      | ~ cat(X0) ),
    inference(cnf_transformation,[],[f34]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( owner_of(X1) = X0
      | ~ owner(X0,X1)
      | ~ pet(X1)
      | ~ human(X0) ),
    inference(cnf_transformation,[],[f51]) ).

fof(f73,plain,
    chased(odie,garfield),
    inference(cnf_transformation,[],[f18]) ).

fof(f74,plain,
    ~ hates(jon,jon),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_50,plain,
    cat(garfield),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_52,plain,
    dog(odie),
    inference(cnf_transformation,[],[f55]) ).

cnf(c_54,plain,
    ( ~ dog(X0)
    | pet(X0) ),
    inference(cnf_transformation,[],[f57]) ).

cnf(c_55,plain,
    ( ~ cat(X0)
    | pet(X0) ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_57,plain,
    human(jon),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_61,plain,
    owner(jon,odie),
    inference(cnf_transformation,[],[f64]) ).

cnf(c_62,plain,
    owner(jon,garfield),
    inference(cnf_transformation,[],[f65]) ).

cnf(c_67,plain,
    ( ~ chased(X0,X1)
    | ~ cat(X1)
    | ~ dog(X0)
    | hates(owner_of(X1),owner_of(X0)) ),
    inference(cnf_transformation,[],[f70]) ).

cnf(c_69,plain,
    ( ~ owner(X0,X1)
    | ~ pet(X1)
    | ~ human(X0)
    | owner_of(X1) = X0 ),
    inference(cnf_transformation,[],[f71]) ).

cnf(c_70,plain,
    chased(odie,garfield),
    inference(cnf_transformation,[],[f73]) ).

cnf(c_71,negated_conjecture,
    ~ hates(jon,jon),
    inference(cnf_transformation,[],[f74]) ).

cnf(c_251,plain,
    ( X0 != odie
    | X1 != garfield
    | ~ cat(X1)
    | ~ dog(X0)
    | hates(owner_of(X1),owner_of(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_67,c_70]) ).

cnf(c_252,plain,
    ( ~ cat(garfield)
    | ~ dog(odie)
    | hates(owner_of(garfield),owner_of(odie)) ),
    inference(unflattening,[status(thm)],[c_251]) ).

cnf(c_253,plain,
    hates(owner_of(garfield),owner_of(odie)),
    inference(global_subsumption_just,[status(thm)],[c_252,c_52,c_50,c_252]) ).

cnf(c_259,plain,
    ( owner_of(garfield) != jon
    | owner_of(odie) != jon ),
    inference(resolution_lifted,[status(thm)],[c_71,c_253]) ).

cnf(c_273,plain,
    ( X0 != garfield
    | pet(X0) ),
    inference(resolution_lifted,[status(thm)],[c_50,c_55]) ).

cnf(c_274,plain,
    pet(garfield),
    inference(unflattening,[status(thm)],[c_273]) ).

cnf(c_296,plain,
    ( X0 != odie
    | pet(X0) ),
    inference(resolution_lifted,[status(thm)],[c_52,c_54]) ).

cnf(c_297,plain,
    pet(odie),
    inference(unflattening,[status(thm)],[c_296]) ).

cnf(c_443,plain,
    ( X0 != odie
    | X1 != jon
    | ~ pet(X0)
    | ~ human(X1)
    | owner_of(X0) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_61,c_69]) ).

cnf(c_444,plain,
    ( ~ pet(odie)
    | ~ human(jon)
    | owner_of(odie) = jon ),
    inference(unflattening,[status(thm)],[c_443]) ).

cnf(c_472,plain,
    ( X0 != garfield
    | X1 != jon
    | ~ pet(X0)
    | ~ human(X1)
    | owner_of(X0) = X1 ),
    inference(resolution_lifted,[status(thm)],[c_62,c_69]) ).

cnf(c_473,plain,
    ( ~ pet(garfield)
    | ~ human(jon)
    | owner_of(garfield) = jon ),
    inference(unflattening,[status(thm)],[c_472]) ).

cnf(c_474,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_473,c_444,c_297,c_274,c_259,c_57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n018.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 22:29:45 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.79/1.19  % SZS status Started for theBenchmark.p
% 0.79/1.19  % SZS status Theorem for theBenchmark.p
% 0.79/1.19  
% 0.79/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.79/1.19  
% 0.79/1.19  ------  iProver source info
% 0.79/1.19  
% 0.79/1.19  git: date: 2023-05-31 18:12:56 +0000
% 0.79/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.79/1.19  git: non_committed_changes: false
% 0.79/1.19  git: last_make_outside_of_git: false
% 0.79/1.19  
% 0.79/1.19  ------ Parsing...
% 0.79/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.79/1.19  
% 0.79/1.19  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s
% 0.79/1.19  
% 0.79/1.19  % SZS status Theorem for theBenchmark.p
% 0.79/1.19  
% 0.79/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.79/1.19  
% 0.79/1.19  
%------------------------------------------------------------------------------