TSTP Solution File: SYO645+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYO645+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n020.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 Sep  1 04:40:30 EDT 2023

% Result   : Satisfiable 1.14s 1.19s
% Output   : Saturation 1.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ? [X0] :
      ( ? [X2] :
          ( ! [X4] :
              ( ! [X6] :
                  ( f(X0,X4,X6)
                  | ! [X7] : f(X6,X2,X7) )
              | ! [X5] : ~ f(X4,X2,X5) )
          & ! [X3] : f(X2,X3,X0) )
      & ? [X1] :
          ( ~ f(X0,X1,X0)
          & ~ f(X0,X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f2,plain,
    ? [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( f(X0,X2,X3)
                  | ! [X4] : f(X3,X1,X4) )
              | ! [X5] : ~ f(X2,X1,X5) )
          & ! [X6] : f(X1,X6,X0) )
      & ? [X7] :
          ( ~ f(X0,X7,X0)
          & ~ f(X0,X0,X7) ) ),
    inference(rectify,[],[f1]) ).

fof(f3,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( ! [X2] :
                ( ! [X3] :
                    ( f(X0,X2,X3)
                    | ! [X4] : f(X3,X1,X4) )
                | ! [X5] : ~ f(X2,X1,X5) )
            & ! [X6] : f(X1,X6,X0) )
        & ? [X7] :
            ( ~ f(X0,X7,X0)
            & ~ f(X0,X0,X7) ) )
   => ( ? [X1] :
          ( ! [X2] :
              ( ! [X3] :
                  ( f(sK0,X2,X3)
                  | ! [X4] : f(X3,X1,X4) )
              | ! [X5] : ~ f(X2,X1,X5) )
          & ! [X6] : f(X1,X6,sK0) )
      & ? [X7] :
          ( ~ f(sK0,X7,sK0)
          & ~ f(sK0,sK0,X7) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f4,plain,
    ( ? [X1] :
        ( ! [X2] :
            ( ! [X3] :
                ( f(sK0,X2,X3)
                | ! [X4] : f(X3,X1,X4) )
            | ! [X5] : ~ f(X2,X1,X5) )
        & ! [X6] : f(X1,X6,sK0) )
   => ( ! [X2] :
          ( ! [X3] :
              ( f(sK0,X2,X3)
              | ! [X4] : f(X3,sK1,X4) )
          | ! [X5] : ~ f(X2,sK1,X5) )
      & ! [X6] : f(sK1,X6,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f5,plain,
    ( ? [X7] :
        ( ~ f(sK0,X7,sK0)
        & ~ f(sK0,sK0,X7) )
   => ( ~ f(sK0,sK2,sK0)
      & ~ f(sK0,sK0,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f6,plain,
    ( ! [X2] :
        ( ! [X3] :
            ( f(sK0,X2,X3)
            | ! [X4] : f(X3,sK1,X4) )
        | ! [X5] : ~ f(X2,sK1,X5) )
    & ! [X6] : f(sK1,X6,sK0)
    & ~ f(sK0,sK2,sK0)
    & ~ f(sK0,sK0,sK2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f2,f5,f4,f3]) ).

fof(f7,plain,
    ~ f(sK0,sK0,sK2),
    inference(cnf_transformation,[],[f6]) ).

fof(f8,plain,
    ~ f(sK0,sK2,sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ! [X6] : f(sK1,X6,sK0),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ! [X2,X3,X4,X5] :
      ( f(sK0,X2,X3)
      | f(X3,sK1,X4)
      | ~ f(X2,sK1,X5) ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,plain,
    ( ~ f(X0,sK1,X1)
    | f(X2,sK1,X3)
    | f(sK0,X0,X2) ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_50,plain,
    f(sK1,X0,sK0),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_51,plain,
    ~ f(sK0,sK2,sK0),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_52,plain,
    ~ f(sK0,sK0,sK2),
    inference(cnf_transformation,[],[f7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SYO645+1 : TPTP v8.1.2. Released v7.2.0.
% 0.00/0.15  % Command  : run_iprover %s %d THM
% 0.16/0.36  % Computer : n020.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sat Aug 26 07:45:45 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.23/0.50  Running first-order theorem proving
% 0.23/0.50  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.14/1.19  % SZS status Started for theBenchmark.p
% 1.14/1.19  % SZS status Satisfiable for theBenchmark.p
% 1.14/1.19  
% 1.14/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.14/1.19  
% 1.14/1.19  ------  iProver source info
% 1.14/1.19  
% 1.14/1.19  git: date: 2023-05-31 18:12:56 +0000
% 1.14/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.14/1.19  git: non_committed_changes: false
% 1.14/1.19  git: last_make_outside_of_git: false
% 1.14/1.19  
% 1.14/1.19  ------ Parsing...
% 1.14/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.14/1.19  
% 1.14/1.19  
% 1.14/1.19  ------ Preprocessing... sf_s  rm: 4 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.14/1.19  
% 1.14/1.19  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.14/1.19   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.14/1.19  ------ Proving...
% 1.14/1.19  ------ Problem Properties 
% 1.14/1.19  
% 1.14/1.19  
% 1.14/1.19  clauses                                 0
% 1.14/1.19  conjectures                             0
% 1.14/1.19  EPR                                     0
% 1.14/1.19  Horn                                    0
% 1.14/1.19  unary                                   0
% 1.14/1.19  binary                                  0
% 1.14/1.19  lits                                    0
% 1.14/1.19  lits eq                                 0
% 1.14/1.19  fd_pure                                 0
% 1.14/1.19  fd_pseudo                               0
% 1.14/1.19  fd_cond                                 0
% 1.14/1.19  fd_pseudo_cond                          0
% 1.14/1.19  AC symbols                              0
% 1.14/1.19  
% 1.14/1.19  ------ Schedule EPR Horn non eq is on
% 1.14/1.19  
% 1.14/1.19  ------ no conjectures: strip conj schedule 
% 1.14/1.19  
% 1.14/1.19  ------ no equalities: superposition off 
% 1.14/1.19  
% 1.14/1.19  ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.14/1.19  
% 1.14/1.19  
% 1.14/1.19  
% 1.14/1.19  
% 1.14/1.19  % SZS status Satisfiable for theBenchmark.p
% 1.14/1.19  
% 1.14/1.19  % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.14/1.19  
% 1.14/1.19  
%------------------------------------------------------------------------------