TSTP Solution File: SWC097+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC097+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n006.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  : 600s
% DateTime : Tue Jul 19 20:26:40 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   68 (  20 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :   79 (  26   ~;  26   |;  17   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn  11   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ! [X1] :
      ( ssList(X1)
     => ! [X2] :
          ( ssList(X2)
         => ! [X3] :
              ( ssList(X3)
             => ! [X4] :
                  ( ssList(X4)
                 => ( X2 != X4
                    | X1 != X3
                    | ( ( ~ neq(X2,nil)
                        | ? [X5] :
                            ( ssItem(X5)
                            & app(X1,cons(X5,nil)) = X2 )
                        | ! [X6] :
                            ( ssItem(X6)
                           => app(X3,cons(X6,nil)) != X4 ) )
                      & ( ~ neq(X2,nil)
                        | neq(X4,nil) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ssList(X4)
                   => ( X2 != X4
                      | X1 != X3
                      | ( ( ~ neq(X2,nil)
                          | ? [X5] :
                              ( ssItem(X5)
                              & app(X1,cons(X5,nil)) = X2 )
                          | ! [X6] :
                              ( ssItem(X6)
                             => app(X3,cons(X6,nil)) != X4 ) )
                        & ( ~ neq(X2,nil)
                          | neq(X4,nil) ) ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_2,negated_conjecture,
    ! [X11] :
      ( ssList(esk1_0)
      & ssList(esk2_0)
      & ssList(esk3_0)
      & ssList(esk4_0)
      & esk2_0 = esk4_0
      & esk1_0 = esk3_0
      & ( neq(esk2_0,nil)
        | neq(esk2_0,nil) )
      & ( ~ neq(esk4_0,nil)
        | neq(esk2_0,nil) )
      & ( neq(esk2_0,nil)
        | ~ ssItem(X11)
        | app(esk1_0,cons(X11,nil)) != esk2_0 )
      & ( ~ neq(esk4_0,nil)
        | ~ ssItem(X11)
        | app(esk1_0,cons(X11,nil)) != esk2_0 )
      & ( neq(esk2_0,nil)
        | ssItem(esk5_0) )
      & ( ~ neq(esk4_0,nil)
        | ssItem(esk5_0) )
      & ( neq(esk2_0,nil)
        | app(esk3_0,cons(esk5_0,nil)) = esk4_0 )
      & ( ~ neq(esk4_0,nil)
        | app(esk3_0,cons(esk5_0,nil)) = esk4_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1])])])])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( neq(esk2_0,nil)
    | neq(esk2_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    neq(esk2_0,nil),
    inference(cn,[status(thm)],[c_0_3]) ).

cnf(c_0_5,negated_conjecture,
    esk2_0 = esk4_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( app(esk1_0,cons(X1,nil)) != esk2_0
    | ~ ssItem(X1)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    neq(esk4_0,nil),
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( app(esk3_0,cons(esk5_0,nil)) = esk4_0
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ( ssItem(esk5_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    ( app(esk1_0,cons(X1,nil)) != esk4_0
    | ~ ssItem(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_5]),c_0_7])]) ).

cnf(c_0_12,negated_conjecture,
    app(esk1_0,cons(esk5_0,nil)) = esk4_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_7])]) ).

cnf(c_0_13,negated_conjecture,
    ssItem(esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_7])]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : SWC097+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n006.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  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 23:47:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41  # Preprocessing time       : 0.018 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 15
% 0.22/1.41  # Proof object clause steps            : 12
% 0.22/1.41  # Proof object formula steps           : 3
% 0.22/1.41  # Proof object conjectures             : 15
% 0.22/1.41  # Proof object clause conjectures      : 12
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 6
% 0.22/1.41  # Proof object initial formulas used   : 1
% 0.22/1.41  # Proof object generating inferences   : 1
% 0.22/1.41  # Proof object simplifying inferences  : 12
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 96
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 77
% 0.22/1.41  # Initial clauses                      : 41
% 0.22/1.41  # Removed in clause preprocessing      : 0
% 0.22/1.41  # Initial clauses in saturation        : 41
% 0.22/1.41  # Processed clauses                    : 43
% 0.22/1.41  # ...of these trivial                  : 6
% 0.22/1.41  # ...subsumed                          : 0
% 0.22/1.41  # ...remaining for further processing  : 36
% 0.22/1.41  # Other redundant clauses eliminated   : 2
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 0
% 0.22/1.41  # Backward-rewritten                   : 1
% 0.22/1.41  # Generated clauses                    : 89
% 0.22/1.41  # ...of the previous two non-trivial   : 74
% 0.22/1.41  # Contextual simplify-reflections      : 0
% 0.22/1.41  # Paramodulations                      : 83
% 0.22/1.41  # Factorizations                       : 0
% 0.22/1.41  # Equation resolutions                 : 6
% 0.22/1.41  # Current number of processed clauses  : 33
% 0.22/1.41  #    Positive orientable unit clauses  : 10
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 1
% 0.22/1.41  #    Non-unit-clauses                  : 22
% 0.22/1.41  # Current number of unprocessed clauses: 72
% 0.22/1.41  # ...number of literals in the above   : 374
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 1
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 53
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 24
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.22/1.41  # Unit Clause-clause subsumption calls : 1
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 1
% 0.22/1.41  # BW rewrite match successes           : 1
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 4770
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.023 s
% 0.22/1.41  # System time              : 0.000 s
% 0.22/1.41  # Total time               : 0.023 s
% 0.22/1.41  # Maximum resident set size: 3160 pages
%------------------------------------------------------------------------------