TSTP Solution File: SWC050+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC050+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.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 20:26:22 EDT 2022

% Result   : Theorem 0.21s 1.40s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   98 (   8 equ)
%            Maximal formula atoms :   36 (   5 avg)
%            Number of connectives :  122 (  43   ~;  44   |;  25   &)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 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] :
                            ( ssList(X5)
                            & neq(X5,nil)
                            & rearsegP(X2,X5)
                            & rearsegP(X1,X5) )
                        | ! [X6] :
                            ( ssList(X6)
                           => ( ~ neq(X6,nil)
                              | ~ rearsegP(X4,X6)
                              | ~ rearsegP(X3,X6) ) ) )
                      & ( ~ neq(X2,nil)
                        | neq(X4,nil) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/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] :
                              ( ssList(X5)
                              & neq(X5,nil)
                              & rearsegP(X2,X5)
                              & rearsegP(X1,X5) )
                          | ! [X6] :
                              ( ssList(X6)
                             => ( ~ neq(X6,nil)
                                | ~ rearsegP(X4,X6)
                                | ~ rearsegP(X3,X6) ) ) )
                        & ( ~ 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)
        | ~ ssList(X11)
        | ~ neq(X11,nil)
        | ~ rearsegP(esk2_0,X11)
        | ~ rearsegP(esk1_0,X11) )
      & ( ~ neq(esk4_0,nil)
        | ~ ssList(X11)
        | ~ neq(X11,nil)
        | ~ rearsegP(esk2_0,X11)
        | ~ rearsegP(esk1_0,X11) )
      & ( neq(esk2_0,nil)
        | ssList(esk5_0) )
      & ( ~ neq(esk4_0,nil)
        | ssList(esk5_0) )
      & ( neq(esk2_0,nil)
        | neq(esk5_0,nil) )
      & ( ~ neq(esk4_0,nil)
        | neq(esk5_0,nil) )
      & ( neq(esk2_0,nil)
        | rearsegP(esk4_0,esk5_0) )
      & ( ~ neq(esk4_0,nil)
        | rearsegP(esk4_0,esk5_0) )
      & ( neq(esk2_0,nil)
        | rearsegP(esk3_0,esk5_0) )
      & ( ~ neq(esk4_0,nil)
        | rearsegP(esk3_0,esk5_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,
    ( ~ rearsegP(esk1_0,X1)
    | ~ rearsegP(esk2_0,X1)
    | ~ neq(X1,nil)
    | ~ ssList(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,
    ( neq(esk5_0,nil)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    ( rearsegP(esk3_0,esk5_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    ( rearsegP(esk4_0,esk5_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ rearsegP(esk1_0,X1)
    | ~ rearsegP(esk4_0,X1)
    | ~ ssList(X1)
    | ~ neq(X1,nil) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_5]),c_0_7])]) ).

cnf(c_0_13,negated_conjecture,
    neq(esk5_0,nil),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]) ).

cnf(c_0_14,negated_conjecture,
    rearsegP(esk1_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_7])]) ).

cnf(c_0_15,negated_conjecture,
    rearsegP(esk4_0,esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_7])]) ).

cnf(c_0_16,negated_conjecture,
    ( ssList(esk5_0)
    | ~ neq(esk4_0,nil) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17,negated_conjecture,
    ~ ssList(esk5_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15])]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_7])]),c_0_17]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWC050+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n008.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 15:59:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.21/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.21/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.21/1.40  # Preprocessing time       : 0.020 s
% 0.21/1.40  
% 0.21/1.40  # Proof found!
% 0.21/1.40  # SZS status Theorem
% 0.21/1.40  # SZS output start CNFRefutation
% See solution above
% 0.21/1.40  # Proof object total steps             : 19
% 0.21/1.40  # Proof object clause steps            : 16
% 0.21/1.40  # Proof object formula steps           : 3
% 0.21/1.40  # Proof object conjectures             : 19
% 0.21/1.40  # Proof object clause conjectures      : 16
% 0.21/1.40  # Proof object formula conjectures     : 3
% 0.21/1.40  # Proof object initial clauses used    : 8
% 0.21/1.40  # Proof object initial formulas used   : 1
% 0.21/1.40  # Proof object generating inferences   : 1
% 0.21/1.40  # Proof object simplifying inferences  : 18
% 0.21/1.40  # Training examples: 0 positive, 0 negative
% 0.21/1.40  # Parsed axioms                        : 96
% 0.21/1.40  # Removed by relevancy pruning/SinE    : 70
% 0.21/1.40  # Initial clauses                      : 55
% 0.21/1.40  # Removed in clause preprocessing      : 0
% 0.21/1.40  # Initial clauses in saturation        : 55
% 0.21/1.40  # Processed clauses                    : 57
% 0.21/1.40  # ...of these trivial                  : 8
% 0.21/1.40  # ...subsumed                          : 0
% 0.21/1.40  # ...remaining for further processing  : 48
% 0.21/1.40  # Other redundant clauses eliminated   : 5
% 0.21/1.40  # Clauses deleted for lack of memory   : 0
% 0.21/1.40  # Backward-subsumed                    : 0
% 0.21/1.40  # Backward-rewritten                   : 1
% 0.21/1.40  # Generated clauses                    : 122
% 0.21/1.40  # ...of the previous two non-trivial   : 99
% 0.21/1.40  # Contextual simplify-reflections      : 0
% 0.21/1.40  # Paramodulations                      : 112
% 0.21/1.40  # Factorizations                       : 0
% 0.21/1.40  # Equation resolutions                 : 10
% 0.21/1.40  # Current number of processed clauses  : 45
% 0.21/1.40  #    Positive orientable unit clauses  : 11
% 0.21/1.40  #    Positive unorientable unit clauses: 0
% 0.21/1.40  #    Negative unit clauses             : 2
% 0.21/1.40  #    Non-unit-clauses                  : 32
% 0.21/1.40  # Current number of unprocessed clauses: 97
% 0.21/1.40  # ...number of literals in the above   : 517
% 0.21/1.40  # Current number of archived formulas  : 0
% 0.21/1.40  # Current number of archived clauses   : 1
% 0.21/1.40  # Clause-clause subsumption calls (NU) : 124
% 0.21/1.40  # Rec. Clause-clause subsumption calls : 42
% 0.21/1.40  # Non-unit clause-clause subsumptions  : 0
% 0.21/1.40  # Unit Clause-clause subsumption calls : 31
% 0.21/1.40  # Rewrite failures with RHS unbound    : 0
% 0.21/1.40  # BW rewrite match attempts            : 1
% 0.21/1.40  # BW rewrite match successes           : 1
% 0.21/1.40  # Condensation attempts                : 0
% 0.21/1.40  # Condensation successes               : 0
% 0.21/1.40  # Termbank termtop insertions          : 6141
% 0.21/1.40  
% 0.21/1.40  # -------------------------------------------------
% 0.21/1.40  # User time                : 0.027 s
% 0.21/1.40  # System time              : 0.000 s
% 0.21/1.40  # Total time               : 0.027 s
% 0.21/1.40  # Maximum resident set size: 3176 pages
%------------------------------------------------------------------------------