TSTP Solution File: KRS139+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KRS139+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.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 02:33:45 EDT 2024

% Result   : Theorem 0.45s 1.13s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   52 (  16 unt;   0 def)
%            Number of atoms       :  164 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  199 (  87   ~;  83   |;  21   &)
%                                         (   4 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   35 (   2 sgn  19   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( rpath(X0,X1)
     => rpath(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f4,axiom,
    cowlThing(iAntwerp),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f5,axiom,
    cowlThing(iGhent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f6,axiom,
    rpath(iGhent,iAntwerp),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f7,conjecture,
    ( cowlThing(iGhent)
    & rpath(iAntwerp,iGhent)
    & cowlThing(iAntwerp)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f8,negated_conjecture,
    ~ ( cowlThing(iGhent)
      & rpath(iAntwerp,iGhent)
      & cowlThing(iAntwerp)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f7]) ).

fof(f9,plain,
    ~ ( cowlThing(iGhent)
      & rpath(iAntwerp,iGhent)
      & cowlThing(iAntwerp)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(rectify,[],[f8]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( rpath(X1,X0)
      | ~ rpath(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f11,plain,
    ( ~ cowlThing(iGhent)
    | ~ rpath(iAntwerp,iGhent)
    | ~ cowlThing(iAntwerp)
    | ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f12,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f13,plain,
    ( ~ cowlThing(iGhent)
    | ~ rpath(iAntwerp,iGhent)
    | ~ cowlThing(iAntwerp)
    | ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(nnf_transformation,[],[f11]) ).

fof(f14,plain,
    ( ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
   => ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f15,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK1)
      | ~ cowlThing(sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ( ~ cowlThing(iGhent)
    | ~ rpath(iAntwerp,iGhent)
    | ~ cowlThing(iAntwerp)
    | ( ( xsd_integer(sK0)
        | ~ xsd_string(sK0) )
      & ( ~ xsd_integer(sK0)
        | xsd_string(sK0) ) )
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f13,f15,f14]) ).

fof(f17,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f18,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f20,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( rpath(X1,X0)
      | ~ rpath(X0,X1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f22,plain,
    cowlThing(iAntwerp),
    inference(cnf_transformation,[],[f4]) ).

fof(f23,plain,
    cowlThing(iGhent),
    inference(cnf_transformation,[],[f5]) ).

fof(f24,plain,
    rpath(iGhent,iAntwerp),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( ~ cowlThing(iGhent)
    | ~ rpath(iAntwerp,iGhent)
    | ~ cowlThing(iAntwerp)
    | ~ xsd_integer(sK0)
    | xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f26,plain,
    ( ~ cowlThing(iGhent)
    | ~ rpath(iAntwerp,iGhent)
    | ~ cowlThing(iAntwerp)
    | xsd_integer(sK0)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | ~ cowlThing(sK1) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_49,plain,
    ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_50,plain,
    cowlThing(X0),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_51,plain,
    ( xsd_string(X0)
    | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_52,plain,
    ( ~ xsd_string(X0)
    | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f19]) ).

cnf(c_53,plain,
    ( ~ rpath(X0,X1)
    | rpath(X1,X0) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_54,plain,
    cowlThing(iAntwerp),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_55,plain,
    cowlThing(iGhent),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_56,plain,
    rpath(iGhent,iAntwerp),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_57,negated_conjecture,
    ( ~ rpath(iAntwerp,iGhent)
    | ~ cowlThing(iAntwerp)
    | ~ cowlThing(iGhent)
    | ~ cowlThing(sK1)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | xsd_integer(sK0) ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_58,negated_conjecture,
    ( ~ rpath(iAntwerp,iGhent)
    | ~ cowlThing(iAntwerp)
    | ~ cowlThing(iGhent)
    | ~ cowlThing(sK1)
    | ~ xsd_integer(sK0)
    | cowlNothing(sK1)
    | xsd_string(sK0) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_62,negated_conjecture,
    ( ~ rpath(iAntwerp,iGhent)
    | ~ cowlThing(sK1)
    | ~ xsd_integer(sK0)
    | cowlNothing(sK1)
    | xsd_string(sK0) ),
    inference(global_subsumption_just,[status(thm)],[c_58,c_55,c_54,c_58]) ).

cnf(c_64,negated_conjecture,
    ( ~ rpath(iAntwerp,iGhent)
    | ~ cowlThing(sK1)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | xsd_integer(sK0) ),
    inference(global_subsumption_just,[status(thm)],[c_57,c_55,c_54,c_57]) ).

cnf(c_66,plain,
    ( ~ xsd_integer(X0)
    | ~ xsd_string(X0) ),
    inference(prop_impl_just,[status(thm)],[c_52]) ).

cnf(c_67,plain,
    ( ~ xsd_string(X0)
    | ~ xsd_integer(X0) ),
    inference(renaming,[status(thm)],[c_66]) ).

cnf(c_68,plain,
    ( xsd_integer(X0)
    | xsd_string(X0) ),
    inference(prop_impl_just,[status(thm)],[c_51]) ).

cnf(c_69,plain,
    ( xsd_string(X0)
    | xsd_integer(X0) ),
    inference(renaming,[status(thm)],[c_68]) ).

cnf(c_96,plain,
    ( ~ rpath(iAntwerp,iGhent)
    | ~ xsd_string(sK0)
    | cowlNothing(sK1)
    | xsd_integer(sK0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_64,c_50]) ).

cnf(c_97,plain,
    ( ~ rpath(iAntwerp,iGhent)
    | ~ xsd_integer(sK0)
    | cowlNothing(sK1)
    | xsd_string(sK0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_62,c_50]) ).

cnf(c_100,plain,
    ( ~ rpath(iAntwerp,iGhent)
    | ~ xsd_integer(sK0)
    | xsd_string(sK0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_97,c_49]) ).

cnf(c_101,plain,
    ( ~ rpath(iAntwerp,iGhent)
    | ~ xsd_string(sK0)
    | xsd_integer(sK0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_96,c_49]) ).

cnf(c_107,plain,
    ( ~ rpath(iAntwerp,iGhent)
    | xsd_integer(sK0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_101,c_69]) ).

cnf(c_109,plain,
    ( ~ rpath(iAntwerp,iGhent)
    | xsd_string(sK0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_100,c_69]) ).

cnf(c_127,plain,
    ( ~ rpath(iAntwerp,iGhent)
    | ~ xsd_integer(sK0) ),
    inference(resolution,[status(thm)],[c_67,c_109]) ).

cnf(c_128,plain,
    ~ rpath(iAntwerp,iGhent),
    inference(global_subsumption_just,[status(thm)],[c_127,c_107,c_127]) ).

cnf(c_142,plain,
    rpath(iAntwerp,iGhent),
    inference(resolution,[status(thm)],[c_53,c_56]) ).

cnf(c_143,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_142,c_128]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : KRS139+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.12  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n023.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 22:53:54 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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
% 0.45/1.13  % SZS status Started for theBenchmark.p
% 0.45/1.13  % SZS status Theorem for theBenchmark.p
% 0.45/1.13  
% 0.45/1.13  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.45/1.13  
% 0.45/1.13  ------  iProver source info
% 0.45/1.13  
% 0.45/1.13  git: date: 2024-05-02 19:28:25 +0000
% 0.45/1.13  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.45/1.13  git: non_committed_changes: false
% 0.45/1.13  
% 0.45/1.13  ------ Parsing...
% 0.45/1.13  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  ------ Preprocessing... sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 0.45/1.13  
% 0.45/1.13  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 0.45/1.13   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.45/1.13  ------ Proving...
% 0.45/1.13  ------ Problem Properties 
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  clauses                                 3
% 0.45/1.13  conjectures                             0
% 0.45/1.13  EPR                                     3
% 0.45/1.13  Horn                                    3
% 0.45/1.13  unary                                   2
% 0.45/1.13  binary                                  1
% 0.45/1.13  lits                                    4
% 0.45/1.13  lits eq                                 0
% 0.45/1.13  fd_pure                                 0
% 0.45/1.13  fd_pseudo                               0
% 0.45/1.13  fd_cond                                 0
% 0.45/1.13  fd_pseudo_cond                          0
% 0.45/1.13  AC symbols                              0
% 0.45/1.13  
% 0.45/1.13  ------ Schedule EPR Horn non eq is on
% 0.45/1.13  
% 0.45/1.13  ------ no conjectures: strip conj schedule 
% 0.45/1.13  
% 0.45/1.13  ------ no equalities: superposition off 
% 0.45/1.13  
% 0.45/1.13  ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  ------ 
% 0.45/1.13  Current options:
% 0.45/1.13  ------ 
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  ------ Proving...
% 0.45/1.13  
% 0.45/1.13  
% 0.45/1.13  % SZS status Theorem for theBenchmark.p
% 0.45/1.13  
% 0.45/1.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.45/1.13  
% 0.45/1.14  
%------------------------------------------------------------------------------