TSTP Solution File: SYO830+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYO830+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n024.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 04:41:33 EDT 2023

% Result   : Satisfiable 1.65s 1.16s
% Output   : Saturation 1.65s
% Verified : 
% SZS Type : Derivation
%            Derivation depth      :   36
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   42 (  36 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :   10 (   1 avg)
%            Number of connectives :   73 (  51   ~;  13   |;   8   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :   34 (  10 avg)
%            Number of predicates  :    1 (   1 usr;   0 prp; 2-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   57 (   1 sgn;  16   !;   2   ?)

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

fof(f2,plain,
    ! [X0] :
      ( ? [X1] :
          ( ! [X2] :
              ( f(X1,X2)
              | ~ f(X0,X2)
              | ! [X3] : ~ f(X2,X3) )
          & ~ f(X0,X1)
          & f(X1,X0) )
     => ( ! [X2] :
            ( f(sK0(X0),X2)
            | ~ f(X0,X2)
            | ! [X3] : ~ f(X2,X3) )
        & ~ f(X0,sK0(X0))
        & f(sK0(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f3,plain,
    ! [X0] :
      ( ! [X2] :
          ( f(sK0(X0),X2)
          | ~ f(X0,X2)
          | ! [X3] : ~ f(X2,X3) )
      & ~ f(X0,sK0(X0))
      & f(sK0(X0),X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f2]) ).

fof(f4,plain,
    ! [X0] : f(sK0(X0),X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f5,plain,
    ! [X0] : ~ f(X0,sK0(X0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f6,plain,
    ! [X2,X3,X0] :
      ( f(sK0(X0),X2)
      | ~ f(X0,X2)
      | ~ f(X2,X3) ),
    inference(cnf_transformation,[],[f3]) ).

cnf(c_49,plain,
    ( ~ f(X0,X1)
    | ~ f(X1,X2)
    | f(sK0(X0),X1) ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_50,plain,
    ~ f(X0,sK0(X0)),
    inference(cnf_transformation,[],[f5]) ).

cnf(c_51,plain,
    f(sK0(X0),X0),
    inference(cnf_transformation,[],[f4]) ).

cnf(c_117,plain,
    ( ~ f(X0,sK0(X1))
    | f(sK0(X0),sK0(X1)) ),
    inference(superposition,[status(thm)],[c_51,c_49]) ).

cnf(c_146,plain,
    ~ f(X0,sK0(sK0(X0))),
    inference(superposition,[status(thm)],[c_117,c_50]) ).

cnf(c_224,plain,
    ~ f(X0,sK0(sK0(sK0(X0)))),
    inference(superposition,[status(thm)],[c_117,c_146]) ).

cnf(c_275,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(X0))))),
    inference(superposition,[status(thm)],[c_117,c_224]) ).

cnf(c_327,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(X0)))))),
    inference(superposition,[status(thm)],[c_117,c_275]) ).

cnf(c_371,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(X0))))))),
    inference(superposition,[status(thm)],[c_117,c_327]) ).

cnf(c_415,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))),
    inference(superposition,[status(thm)],[c_117,c_371]) ).

cnf(c_418,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))),
    inference(superposition,[status(thm)],[c_117,c_415]) ).

cnf(c_539,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))),
    inference(superposition,[status(thm)],[c_117,c_418]) ).

cnf(c_542,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))),
    inference(superposition,[status(thm)],[c_117,c_539]) ).

cnf(c_576,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))),
    inference(superposition,[status(thm)],[c_117,c_542]) ).

cnf(c_660,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_576]) ).

cnf(c_786,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_660]) ).

cnf(c_848,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_786]) ).

cnf(c_926,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_848]) ).

cnf(c_1043,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_926]) ).

cnf(c_1141,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_1043]) ).

cnf(c_1215,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_1141]) ).

cnf(c_1311,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_1215]) ).

cnf(c_1413,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_1311]) ).

cnf(c_1582,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_1413]) ).

cnf(c_1726,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_1582]) ).

cnf(c_1900,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_1726]) ).

cnf(c_2183,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_1900]) ).

cnf(c_2567,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_2183]) ).

cnf(c_2758,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_2567]) ).

cnf(c_3026,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_2758]) ).

cnf(c_3237,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_3026]) ).

cnf(c_3484,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_3237]) ).

cnf(c_3972,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_3484]) ).

cnf(c_4653,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_3972]) ).

cnf(c_5057,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0))))))))))))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_4653]) ).

cnf(c_5483,plain,
    ~ f(X0,sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(sK0(X0)))))))))))))))))))))))))))))))))),
    inference(superposition,[status(thm)],[c_117,c_5057]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO830+1 : TPTP v8.1.2. Released v7.4.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 07:20:54 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.65/1.16  % SZS status Started for theBenchmark.p
% 1.65/1.16  % SZS status Satisfiable for theBenchmark.p
% 1.65/1.16  
% 1.65/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.65/1.16  
% 1.65/1.16  ------  iProver source info
% 1.65/1.16  
% 1.65/1.16  git: date: 2023-05-31 18:12:56 +0000
% 1.65/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.65/1.16  git: non_committed_changes: false
% 1.65/1.16  git: last_make_outside_of_git: false
% 1.65/1.16  
% 1.65/1.16  ------ Parsing...
% 1.65/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.65/1.16  
% 1.65/1.16  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.65/1.16  
% 1.65/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.65/1.16  ------ Proving...
% 1.65/1.16  ------ Problem Properties 
% 1.65/1.16  
% 1.65/1.16  
% 1.65/1.16  clauses                                 3
% 1.65/1.16  conjectures                             0
% 1.65/1.16  EPR                                     0
% 1.65/1.16  Horn                                    3
% 1.65/1.16  unary                                   2
% 1.65/1.16  binary                                  0
% 1.65/1.16  lits                                    5
% 1.65/1.16  lits eq                                 0
% 1.65/1.16  fd_pure                                 0
% 1.65/1.16  fd_pseudo                               0
% 1.65/1.16  fd_cond                                 0
% 1.65/1.16  fd_pseudo_cond                          0
% 1.65/1.16  AC symbols                              0
% 1.65/1.16  
% 1.65/1.16  ------ Schedule dynamic 5 is on 
% 1.65/1.16  
% 1.65/1.16  ------ no conjectures: strip conj schedule 
% 1.65/1.16  
% 1.65/1.16  ------ no equalities: superposition off 
% 1.65/1.16  
% 1.65/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.65/1.16  
% 1.65/1.16  
% 1.65/1.16  ------ 
% 1.65/1.16  Current options:
% 1.65/1.16  ------ 
% 1.65/1.16  
% 1.65/1.16  
% 1.65/1.16  
% 1.65/1.16  
% 1.65/1.16  ------ Proving...
% 1.65/1.16  
% 1.65/1.16  
% 1.65/1.16  % SZS status Satisfiable for theBenchmark.p
% 1.65/1.16  
% 1.65/1.16  % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.65/1.16  
% 1.65/1.16  
%------------------------------------------------------------------------------