TSTP Solution File: SYO693+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYO693+1 : TPTP v8.1.2. Released v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 04:41:01 EDT 2023

% Result   : Satisfiable 179.53s 24.80s
% Output   : Saturation 179.53s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

fof(f2,axiom,
    ? [X0] :
    ! [X2] :
      ( ~ f(X2,X2)
      | f(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(f3,axiom,
    ! [X2] :
    ? [X0] :
      ( ~ f(X2,X0)
      & ? [X1] : f(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(f4,axiom,
    ! [X2] :
    ? [X0] :
      ( f(X0,X0)
      & ~ f(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f5,axiom,
    ! [X2,X3,X4] :
      ( ~ f(X2,X4)
      | f(X3,X4)
      | f(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f6,axiom,
    ! [X2,X3] :
      ( ! [X4] :
          ( f(X2,X4)
          | ~ f(X3,X4) )
      | ~ f(X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f7,plain,
    ? [X0] :
    ! [X1] :
      ( ~ f(X1,X1)
      | f(X0,X1) ),
    inference(rectify,[],[f2]) ).

fof(f8,plain,
    ! [X0] :
    ? [X1] :
      ( ~ f(X0,X1)
      & ? [X2] : f(X2,X1) ),
    inference(rectify,[],[f3]) ).

fof(f9,plain,
    ! [X0] :
    ? [X1] :
      ( f(X1,X1)
      & ~ f(X1,X0) ),
    inference(rectify,[],[f4]) ).

fof(f10,plain,
    ! [X0,X1,X2] :
      ( ~ f(X0,X2)
      | f(X1,X2)
      | f(X0,X1) ),
    inference(rectify,[],[f5]) ).

fof(f11,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( f(X0,X2)
          | ~ f(X1,X2) )
      | ~ f(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f12,plain,
    ( ? [X0] :
        ( ~ f(X0,X0)
        & ? [X1] :
            ( f(X1,X1)
            & ~ f(X0,X1) ) )
   => ( ~ f(sK0,sK0)
      & ? [X1] :
          ( f(X1,X1)
          & ~ f(sK0,X1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f13,plain,
    ( ? [X1] :
        ( f(X1,X1)
        & ~ f(sK0,X1) )
   => ( f(sK1,sK1)
      & ~ f(sK0,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f14,plain,
    ( ~ f(sK0,sK0)
    & f(sK1,sK1)
    & ~ f(sK0,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f1,f13,f12]) ).

fof(f15,plain,
    ( ? [X0] :
      ! [X1] :
        ( ~ f(X1,X1)
        | f(X0,X1) )
   => ! [X1] :
        ( ~ f(X1,X1)
        | f(sK2,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f16,plain,
    ! [X1] :
      ( ~ f(X1,X1)
      | f(sK2,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f7,f15]) ).

fof(f17,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ f(X0,X1)
          & ? [X2] : f(X2,X1) )
     => ( ~ f(X0,sK3(X0))
        & ? [X2] : f(X2,sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f18,plain,
    ! [X0] :
      ( ? [X2] : f(X2,sK3(X0))
     => f(sK4(X0),sK3(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f19,plain,
    ! [X0] :
      ( ~ f(X0,sK3(X0))
      & f(sK4(X0),sK3(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f8,f18,f17]) ).

fof(f20,plain,
    ! [X0] :
      ( ? [X1] :
          ( f(X1,X1)
          & ~ f(X1,X0) )
     => ( f(sK5(X0),sK5(X0))
        & ~ f(sK5(X0),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f21,plain,
    ! [X0] :
      ( f(sK5(X0),sK5(X0))
      & ~ f(sK5(X0),X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f9,f20]) ).

fof(f22,plain,
    ~ f(sK0,sK1),
    inference(cnf_transformation,[],[f14]) ).

fof(f23,plain,
    f(sK1,sK1),
    inference(cnf_transformation,[],[f14]) ).

fof(f24,plain,
    ~ f(sK0,sK0),
    inference(cnf_transformation,[],[f14]) ).

fof(f25,plain,
    ! [X1] :
      ( ~ f(X1,X1)
      | f(sK2,X1) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f26,plain,
    ! [X0] : f(sK4(X0),sK3(X0)),
    inference(cnf_transformation,[],[f19]) ).

fof(f27,plain,
    ! [X0] : ~ f(X0,sK3(X0)),
    inference(cnf_transformation,[],[f19]) ).

fof(f28,plain,
    ! [X0] : ~ f(sK5(X0),X0),
    inference(cnf_transformation,[],[f21]) ).

fof(f29,plain,
    ! [X0] : f(sK5(X0),sK5(X0)),
    inference(cnf_transformation,[],[f21]) ).

fof(f30,plain,
    ! [X2,X0,X1] :
      ( ~ f(X0,X2)
      | f(X1,X2)
      | f(X0,X1) ),
    inference(cnf_transformation,[],[f10]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( f(X0,X2)
      | ~ f(X1,X2)
      | ~ f(X0,X1) ),
    inference(cnf_transformation,[],[f11]) ).

cnf(c_49,plain,
    ~ f(sK0,sK0),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_50,plain,
    f(sK1,sK1),
    inference(cnf_transformation,[],[f23]) ).

cnf(c_51,plain,
    ~ f(sK0,sK1),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_52,plain,
    ( ~ f(X0,X0)
    | f(sK2,X0) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_53,plain,
    ~ f(X0,sK3(X0)),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_54,plain,
    f(sK4(X0),sK3(X0)),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_55,plain,
    f(sK5(X0),sK5(X0)),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_56,plain,
    ~ f(sK5(X0),X0),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_57,plain,
    ( ~ f(X0,X1)
    | f(X0,X2)
    | f(X2,X1) ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_58,plain,
    ( ~ f(X0,X1)
    | ~ f(X2,X0)
    | f(X2,X1) ),
    inference(cnf_transformation,[],[f31]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO693+1 : TPTP v8.1.2. Released v7.4.0.
% 0.13/0.12  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n031.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Fri Aug 25 23:24:37 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
% 179.53/24.80  % SZS status Started for theBenchmark.p
% 179.53/24.80  % SZS status Satisfiable for theBenchmark.p
% 179.53/24.80  
% 179.53/24.80  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 179.53/24.80  
% 179.53/24.80  ------  iProver source info
% 179.53/24.80  
% 179.53/24.80  git: date: 2023-05-31 18:12:56 +0000
% 179.53/24.80  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 179.53/24.80  git: non_committed_changes: false
% 179.53/24.80  git: last_make_outside_of_git: false
% 179.53/24.80  
% 179.53/24.80  ------ Parsing...
% 179.53/24.80  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 179.53/24.80  
% 179.53/24.80  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 179.53/24.80  
% 179.53/24.80  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 179.53/24.80  ------ Proving...
% 179.53/24.80  ------ Problem Properties 
% 179.53/24.80  
% 179.53/24.80  
% 179.53/24.80  clauses                                 10
% 179.53/24.80  conjectures                             0
% 179.53/24.80  EPR                                     6
% 179.53/24.80  Horn                                    9
% 179.53/24.80  unary                                   7
% 179.53/24.80  binary                                  1
% 179.53/24.80  lits                                    15
% 179.53/24.80  lits eq                                 0
% 179.53/24.80  fd_pure                                 0
% 179.53/24.80  fd_pseudo                               0
% 179.53/24.80  fd_cond                                 0
% 179.53/24.80  fd_pseudo_cond                          0
% 179.53/24.80  AC symbols                              0
% 179.53/24.80  
% 179.53/24.80  ------ Input Options Time Limit: Unbounded
% 179.53/24.80  
% 179.53/24.80  
% 179.53/24.80  ------ 
% 179.53/24.80  Current options:
% 179.53/24.80  ------ 
% 179.53/24.80  
% 179.53/24.80  
% 179.53/24.80  
% 179.53/24.80  
% 179.53/24.80  ------ Proving...
% 179.53/24.80  
% 179.53/24.80  
% 179.53/24.80  % SZS status Satisfiable for theBenchmark.p
% 179.53/24.80  
% 179.53/24.80  % SZS output start Saturation for theBenchmark.p
% See solution above
% 179.53/24.80  
% 179.53/24.80  
%------------------------------------------------------------------------------