TSTP Solution File: SYO720+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYO720+1 : TPTP v8.1.2. Released v7.4.0.
% 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 04:41:07 EDT 2023

% Result   : Satisfiable 172.98s 23.37s
% Output   : Saturation 172.98s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

fof(f4,axiom,
    ! [X1] :
    ? [X0] :
      ( ~ f(X1,X0)
      & ? [X3] : f(X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(f5,axiom,
    ! [X1] : ~ f(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f6,axiom,
    ! [X1,X2,X4] :
      ( ~ f(X1,X4)
      | f(X2,X4)
      | f(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

fof(f7,axiom,
    ! [X1,X2] :
      ( ! [X4] :
          ( f(X1,X4)
          | ~ f(X2,X4) )
      | ~ f(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

fof(f10,plain,
    ! [X0] :
    ? [X1] :
      ( ~ f(X0,X1)
      & ? [X2] : f(X2,X1) ),
    inference(rectify,[],[f4]) ).

fof(f11,plain,
    ! [X0] : ~ f(X0,X0),
    inference(rectify,[],[f5]) ).

fof(f12,plain,
    ! [X0,X1,X2] :
      ( ~ f(X0,X2)
      | f(X1,X2)
      | f(X0,X1) ),
    inference(rectify,[],[f6]) ).

fof(f13,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( f(X0,X2)
          | ~ f(X1,X2) )
      | ~ f(X0,X1) ),
    inference(rectify,[],[f7]) ).

fof(f16,plain,
    ( ? [X0] :
      ! [X1] :
        ( f(X1,X0)
        | ! [X2] : ~ f(X1,X2) )
   => ! [X1] :
        ( f(X1,sK0)
        | ! [X2] : ~ f(X1,X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f17,plain,
    ! [X1] :
      ( f(X1,sK0)
      | ! [X2] : ~ f(X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f16]) ).

fof(f22,plain,
    ! [X0] :
      ( ? [X1] :
          ( ~ f(X0,X1)
          & ? [X2] : f(X2,X1) )
     => ( ~ f(X0,sK3(X0))
        & ? [X2] : f(X2,sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ! [X0] :
      ( ? [X2] : f(X2,sK3(X0))
     => f(sK4(X0),sK3(X0)) ),
    introduced(choice_axiom,[]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ f(X0,sK3(X0))
      & f(sK4(X0),sK3(X0)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f10,f23,f22]) ).

fof(f25,plain,
    ! [X2,X1] :
      ( f(X1,sK0)
      | ~ f(X1,X2) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f28,plain,
    ! [X0] : f(sK4(X0),sK3(X0)),
    inference(cnf_transformation,[],[f24]) ).

fof(f29,plain,
    ! [X0] : ~ f(X0,sK3(X0)),
    inference(cnf_transformation,[],[f24]) ).

fof(f30,plain,
    ! [X0] : ~ f(X0,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f31,plain,
    ! [X2,X0,X1] :
      ( ~ f(X0,X2)
      | f(X1,X2)
      | f(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

fof(f32,plain,
    ! [X2,X0,X1] :
      ( f(X0,X2)
      | ~ f(X1,X2)
      | ~ f(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_49,plain,
    ( ~ f(X0,X1)
    | f(X0,sK0) ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_52,plain,
    ~ f(X0,sK3(X0)),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_53,plain,
    f(sK4(X0),sK3(X0)),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_54,plain,
    ~ f(X0,X0),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_55,plain,
    ( ~ f(X0,X1)
    | f(X0,X2)
    | f(X2,X1) ),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_56,plain,
    ( ~ f(X0,X1)
    | ~ f(X2,X0)
    | f(X2,X1) ),
    inference(cnf_transformation,[],[f32]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO720+1 : TPTP v8.1.2. Released v7.4.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.17/0.34  % Computer : n025.cluster.edu
% 0.17/0.34  % Model    : x86_64 x86_64
% 0.17/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34  % Memory   : 8042.1875MB
% 0.17/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34  % CPULimit : 300
% 0.17/0.34  % WCLimit  : 300
% 0.17/0.34  % DateTime : Sat Aug 26 03:52:08 EDT 2023
% 0.17/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 172.98/23.37  % SZS status Started for theBenchmark.p
% 172.98/23.37  % SZS status Satisfiable for theBenchmark.p
% 172.98/23.37  
% 172.98/23.37  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 172.98/23.37  
% 172.98/23.37  ------  iProver source info
% 172.98/23.37  
% 172.98/23.37  git: date: 2023-05-31 18:12:56 +0000
% 172.98/23.37  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 172.98/23.37  git: non_committed_changes: false
% 172.98/23.37  git: last_make_outside_of_git: false
% 172.98/23.37  
% 172.98/23.37  ------ Parsing...
% 172.98/23.37  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 172.98/23.37  
% 172.98/23.37  ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 172.98/23.37  
% 172.98/23.37  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 172.98/23.37  ------ Proving...
% 172.98/23.37  ------ Problem Properties 
% 172.98/23.37  
% 172.98/23.37  
% 172.98/23.37  clauses                                 6
% 172.98/23.37  conjectures                             0
% 172.98/23.37  EPR                                     4
% 172.98/23.37  Horn                                    5
% 172.98/23.37  unary                                   3
% 172.98/23.37  binary                                  1
% 172.98/23.37  lits                                    11
% 172.98/23.37  lits eq                                 0
% 172.98/23.37  fd_pure                                 0
% 172.98/23.37  fd_pseudo                               0
% 172.98/23.37  fd_cond                                 0
% 172.98/23.37  fd_pseudo_cond                          0
% 172.98/23.37  AC symbols                              0
% 172.98/23.37  
% 172.98/23.37  ------ Input Options Time Limit: Unbounded
% 172.98/23.37  
% 172.98/23.37  
% 172.98/23.37  ------ 
% 172.98/23.37  Current options:
% 172.98/23.37  ------ 
% 172.98/23.37  
% 172.98/23.37  
% 172.98/23.37  
% 172.98/23.37  
% 172.98/23.37  ------ Proving...
% 172.98/23.37  
% 172.98/23.37  
% 172.98/23.37  % SZS status Satisfiable for theBenchmark.p
% 172.98/23.37  
% 172.98/23.37  % SZS output start Saturation for theBenchmark.p
% See solution above
% 172.98/23.38  
% 172.98/23.38  
%------------------------------------------------------------------------------