TSTP Solution File: SYN725+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN725+1 : TPTP v8.1.2. Released v2.5.0.
% 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 Sep  1 03:09:35 EDT 2023

% Result   : CounterSatisfiable 1.11s 1.17s
% Output   : Saturation 1.11s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ! [X0] :
        ( ( s(X0)
        <=> ( s(X0)
            & r(X0) ) )
        | r(X0) )
   => ! [X0] :
        ( r(X0)
       => s(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm39) ).

fof(f2,negated_conjecture,
    ~ ( ! [X0] :
          ( ( s(X0)
          <=> ( s(X0)
              & r(X0) ) )
          | r(X0) )
     => ! [X0] :
          ( r(X0)
         => s(X0) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ( ! [X0] :
          ( ( s(X0)
          <=> ( s(X0)
              & r(X0) ) )
          | r(X0) )
     => ! [X1] :
          ( r(X1)
         => s(X1) ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ? [X1] :
        ( ~ s(X1)
        & r(X1) )
    & ! [X0] :
        ( ( s(X0)
        <=> ( s(X0)
            & r(X0) ) )
        | r(X0) ) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f5,plain,
    ( ? [X1] :
        ( ~ s(X1)
        & r(X1) )
    & ! [X0] :
        ( ( ( s(X0)
            | ~ s(X0)
            | ~ r(X0) )
          & ( ( s(X0)
              & r(X0) )
            | ~ s(X0) ) )
        | r(X0) ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ? [X1] :
        ( ~ s(X1)
        & r(X1) )
    & ! [X0] :
        ( ( ( s(X0)
            | ~ s(X0)
            | ~ r(X0) )
          & ( ( s(X0)
              & r(X0) )
            | ~ s(X0) ) )
        | r(X0) ) ),
    inference(flattening,[],[f5]) ).

fof(f7,plain,
    ( ? [X0] :
        ( ~ s(X0)
        & r(X0) )
    & ! [X1] :
        ( ( ( s(X1)
            | ~ s(X1)
            | ~ r(X1) )
          & ( ( s(X1)
              & r(X1) )
            | ~ s(X1) ) )
        | r(X1) ) ),
    inference(rectify,[],[f6]) ).

fof(f8,plain,
    ( ? [X0] :
        ( ~ s(X0)
        & r(X0) )
   => ( ~ s(sK0)
      & r(sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f9,plain,
    ( ~ s(sK0)
    & r(sK0)
    & ! [X1] :
        ( ( ( s(X1)
            | ~ s(X1)
            | ~ r(X1) )
          & ( ( s(X1)
              & r(X1) )
            | ~ s(X1) ) )
        | r(X1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8]) ).

fof(f13,plain,
    r(sK0),
    inference(cnf_transformation,[],[f9]) ).

fof(f14,plain,
    ~ s(sK0),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_49,negated_conjecture,
    ~ s(sK0),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_50,negated_conjecture,
    r(sK0),
    inference(cnf_transformation,[],[f13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : SYN725+1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.12  % 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 : Sat Aug 26 21:24:23 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.11/1.17  % SZS status Started for theBenchmark.p
% 1.11/1.17  % SZS status CounterSatisfiable for theBenchmark.p
% 1.11/1.17  
% 1.11/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.11/1.17  
% 1.11/1.17  ------  iProver source info
% 1.11/1.17  
% 1.11/1.17  git: date: 2023-05-31 18:12:56 +0000
% 1.11/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.11/1.17  git: non_committed_changes: false
% 1.11/1.17  git: last_make_outside_of_git: false
% 1.11/1.17  
% 1.11/1.17  ------ Parsing...
% 1.11/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_horn
% 1.11/1.17  
% 1.11/1.17  
% 1.11/1.17  ------ Preprocessing... sf_s  rm: 3 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.11/1.17  
% 1.11/1.17  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.11/1.17   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.11/1.17  ------ Proving...
% 1.11/1.17  ------ Problem Properties 
% 1.11/1.17  
% 1.11/1.17  
% 1.11/1.17  clauses                                 0
% 1.11/1.17  conjectures                             0
% 1.11/1.17  EPR                                     0
% 1.11/1.17  Horn                                    0
% 1.11/1.17  unary                                   0
% 1.11/1.17  binary                                  0
% 1.11/1.17  lits                                    0
% 1.11/1.17  lits eq                                 0
% 1.11/1.17  fd_pure                                 0
% 1.11/1.17  fd_pseudo                               0
% 1.11/1.17  fd_cond                                 0
% 1.11/1.17  fd_pseudo_cond                          0
% 1.11/1.17  AC symbols                              0
% 1.11/1.17  
% 1.11/1.17  ------ Schedule EPR Horn non eq is on
% 1.11/1.17  
% 1.11/1.17  ------ no conjectures: strip conj schedule 
% 1.11/1.17  
% 1.11/1.17  ------ no equalities: superposition off 
% 1.11/1.17  
% 1.11/1.17  ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.11/1.17  
% 1.11/1.17  
% 1.11/1.17  
% 1.11/1.17  
% 1.11/1.17  % SZS status CounterSatisfiable for theBenchmark.p
% 1.11/1.17  
% 1.11/1.17  % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.11/1.17  
% 1.11/1.17  
%------------------------------------------------------------------------------