TSTP Solution File: KRS074+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n025.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 02:33:32 EDT 2024

% Result   : Unsatisfiable 0.46s 1.15s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   29 (   7 unt;   0 def)
%            Number of atoms       :  127 (   3 equ)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives :  150 (  52   ~;  44   |;  46   &)
%                                         (   3 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :   60 (   0 sgn  29   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f21,axiom,
    ! [X3] :
      ( cUnsatisfiable(X3)
    <=> ( ! [X4] :
            ( rs(X3,X4)
           => ~ cp(X4) )
        & ? [X4] :
            ( ? [X5] :
                ( cp(X5)
                & rinvS(X4,X5) )
            & cp(X4)
            & rs(X3,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f28,axiom,
    cUnsatisfiable(i2003_11_14_17_18_59896),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).

fof(f33,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( rs(X0,X1)
           => ~ cp(X1) )
        & ? [X2] :
            ( ? [X3] :
                ( cp(X3)
                & rinvS(X2,X3) )
            & cp(X2)
            & rs(X0,X2) ) ) ),
    inference(rectify,[],[f21]) ).

fof(f78,plain,
    ! [X0] :
      ( cUnsatisfiable(X0)
    <=> ( ! [X1] :
            ( ~ cp(X1)
            | ~ rs(X0,X1) )
        & ? [X2] :
            ( ? [X3] :
                ( cp(X3)
                & rinvS(X2,X3) )
            & cp(X2)
            & rs(X0,X2) ) ) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f88,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1] :
            ( cp(X1)
            & rs(X0,X1) )
        | ! [X2] :
            ( ! [X3] :
                ( ~ cp(X3)
                | ~ rinvS(X2,X3) )
            | ~ cp(X2)
            | ~ rs(X0,X2) ) )
      & ( ( ! [X1] :
              ( ~ cp(X1)
              | ~ rs(X0,X1) )
          & ? [X2] :
              ( ? [X3] :
                  ( cp(X3)
                  & rinvS(X2,X3) )
              & cp(X2)
              & rs(X0,X2) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(nnf_transformation,[],[f78]) ).

fof(f89,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1] :
            ( cp(X1)
            & rs(X0,X1) )
        | ! [X2] :
            ( ! [X3] :
                ( ~ cp(X3)
                | ~ rinvS(X2,X3) )
            | ~ cp(X2)
            | ~ rs(X0,X2) ) )
      & ( ( ! [X1] :
              ( ~ cp(X1)
              | ~ rs(X0,X1) )
          & ? [X2] :
              ( ? [X3] :
                  ( cp(X3)
                  & rinvS(X2,X3) )
              & cp(X2)
              & rs(X0,X2) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(flattening,[],[f88]) ).

fof(f90,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ? [X1] :
            ( cp(X1)
            & rs(X0,X1) )
        | ! [X2] :
            ( ! [X3] :
                ( ~ cp(X3)
                | ~ rinvS(X2,X3) )
            | ~ cp(X2)
            | ~ rs(X0,X2) ) )
      & ( ( ! [X4] :
              ( ~ cp(X4)
              | ~ rs(X0,X4) )
          & ? [X5] :
              ( ? [X6] :
                  ( cp(X6)
                  & rinvS(X5,X6) )
              & cp(X5)
              & rs(X0,X5) ) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(rectify,[],[f89]) ).

fof(f91,plain,
    ! [X0] :
      ( ? [X1] :
          ( cp(X1)
          & rs(X0,X1) )
     => ( cp(sK0(X0))
        & rs(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f92,plain,
    ! [X0] :
      ( ? [X5] :
          ( ? [X6] :
              ( cp(X6)
              & rinvS(X5,X6) )
          & cp(X5)
          & rs(X0,X5) )
     => ( ? [X6] :
            ( cp(X6)
            & rinvS(sK1(X0),X6) )
        & cp(sK1(X0))
        & rs(X0,sK1(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f93,plain,
    ! [X0] :
      ( ? [X6] :
          ( cp(X6)
          & rinvS(sK1(X0),X6) )
     => ( cp(sK2(X0))
        & rinvS(sK1(X0),sK2(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f94,plain,
    ! [X0] :
      ( ( cUnsatisfiable(X0)
        | ( cp(sK0(X0))
          & rs(X0,sK0(X0)) )
        | ! [X2] :
            ( ! [X3] :
                ( ~ cp(X3)
                | ~ rinvS(X2,X3) )
            | ~ cp(X2)
            | ~ rs(X0,X2) ) )
      & ( ( ! [X4] :
              ( ~ cp(X4)
              | ~ rs(X0,X4) )
          & cp(sK2(X0))
          & rinvS(sK1(X0),sK2(X0))
          & cp(sK1(X0))
          & rs(X0,sK1(X0)) )
        | ~ cUnsatisfiable(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f90,f93,f92,f91]) ).

fof(f120,plain,
    ! [X0] :
      ( rs(X0,sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f121,plain,
    ! [X0] :
      ( cp(sK1(X0))
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f124,plain,
    ! [X0,X4] :
      ( ~ cp(X4)
      | ~ rs(X0,X4)
      | ~ cUnsatisfiable(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f136,plain,
    cUnsatisfiable(i2003_11_14_17_18_59896),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_55,plain,
    ( ~ rs(X0,X1)
    | ~ cUnsatisfiable(X0)
    | ~ cp(X1) ),
    inference(cnf_transformation,[],[f124]) ).

cnf(c_58,plain,
    ( ~ cUnsatisfiable(X0)
    | cp(sK1(X0)) ),
    inference(cnf_transformation,[],[f121]) ).

cnf(c_59,plain,
    ( ~ cUnsatisfiable(X0)
    | rs(X0,sK1(X0)) ),
    inference(cnf_transformation,[],[f120]) ).

cnf(c_69,plain,
    cUnsatisfiable(i2003_11_14_17_18_59896),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_100,plain,
    ( ~ cUnsatisfiable(X0)
    | cp(sK1(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_58]) ).

cnf(c_102,plain,
    ( ~ cUnsatisfiable(X0)
    | rs(X0,sK1(X0)) ),
    inference(prop_impl_just,[status(thm)],[c_59]) ).

cnf(c_401,plain,
    ( X0 != i2003_11_14_17_18_59896
    | rs(X0,sK1(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_102,c_69]) ).

cnf(c_402,plain,
    rs(i2003_11_14_17_18_59896,sK1(i2003_11_14_17_18_59896)),
    inference(unflattening,[status(thm)],[c_401]) ).

cnf(c_406,plain,
    ( X0 != i2003_11_14_17_18_59896
    | cp(sK1(X0)) ),
    inference(resolution_lifted,[status(thm)],[c_100,c_69]) ).

cnf(c_407,plain,
    cp(sK1(i2003_11_14_17_18_59896)),
    inference(unflattening,[status(thm)],[c_406]) ).

cnf(c_421,plain,
    ( X0 != i2003_11_14_17_18_59896
    | ~ rs(X0,X1)
    | ~ cp(X1) ),
    inference(resolution_lifted,[status(thm)],[c_55,c_69]) ).

cnf(c_422,plain,
    ( ~ rs(i2003_11_14_17_18_59896,X0)
    | ~ cp(X0) ),
    inference(unflattening,[status(thm)],[c_421]) ).

cnf(c_906,plain,
    ~ cp(sK1(i2003_11_14_17_18_59896)),
    inference(superposition,[status(thm)],[c_402,c_422]) ).

cnf(c_907,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_906,c_407]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS074+1 : TPTP v8.1.2. Released v3.1.0.
% 0.07/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Thu May  2 22:56:28 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 0.46/1.15  % SZS status Started for theBenchmark.p
% 0.46/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.46/1.15  
% 0.46/1.15  ------  iProver source info
% 0.46/1.15  
% 0.46/1.15  git: date: 2024-05-02 19:28:25 +0000
% 0.46/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.46/1.15  git: non_committed_changes: false
% 0.46/1.15  
% 0.46/1.15  ------ Parsing...
% 0.46/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... sup_sim: 0  sf_s  rm: 5 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sup_sim: 0  sf_s  rm: 3 0s  sf_e  pe_s  pe_e 
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.46/1.15  
% 0.46/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.46/1.15  ------ Proving...
% 0.46/1.15  ------ Problem Properties 
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  clauses                                 14
% 0.46/1.15  conjectures                             0
% 0.46/1.15  EPR                                     6
% 0.46/1.15  Horn                                    14
% 0.46/1.15  unary                                   4
% 0.46/1.15  binary                                  5
% 0.46/1.15  lits                                    33
% 0.46/1.15  lits eq                                 3
% 0.46/1.15  fd_pure                                 0
% 0.46/1.15  fd_pseudo                               0
% 0.46/1.15  fd_cond                                 0
% 0.46/1.15  fd_pseudo_cond                          3
% 0.46/1.15  AC symbols                              0
% 0.46/1.15  
% 0.46/1.15  ------ Schedule dynamic 5 is on 
% 0.46/1.15  
% 0.46/1.15  ------ no conjectures: strip conj schedule 
% 0.46/1.15  
% 0.46/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ 
% 0.46/1.15  Current options:
% 0.46/1.15  ------ 
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  ------ Proving...
% 0.46/1.15  
% 0.46/1.15  
% 0.46/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 0.46/1.15  
% 0.46/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.46/1.15  
% 0.46/1.15  
%------------------------------------------------------------------------------