TSTP Solution File: SWC293+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWC293+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n011.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 20:27:52 EDT 2022

% Result   : Theorem 0.26s 1.43s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   63 (  28 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :   68 (  21   ~;  26   |;  14   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   13 (   0 sgn  12   !;   0   ?)

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

fof(ax68,axiom,
    ! [X1] :
      ( ssItem(X1)
     => strictorderedP(cons(X1,nil)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax68) ).

fof(ax69,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax',ax69) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] :
        ( ssList(X1)
       => ! [X2] :
            ( ssList(X2)
           => ! [X3] :
                ( ssList(X3)
               => ! [X4] :
                    ( ~ ssList(X4)
                    | X2 != X4
                    | X1 != X3
                    | strictorderedP(X1)
                    | ( ! [X5] :
                          ( ~ ssItem(X5)
                          | cons(X5,nil) != X3
                          | ~ memberP(X4,X5) )
                      & ( nil != X4
                        | nil != X3 ) ) ) ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_4,negated_conjecture,
    ( ssList(esk1_0)
    & ssList(esk2_0)
    & ssList(esk3_0)
    & ssList(esk4_0)
    & esk2_0 = esk4_0
    & esk1_0 = esk3_0
    & ~ strictorderedP(esk1_0)
    & ( nil = esk4_0
      | ssItem(esk5_0) )
    & ( nil = esk3_0
      | ssItem(esk5_0) )
    & ( nil = esk4_0
      | cons(esk5_0,nil) = esk3_0 )
    & ( nil = esk3_0
      | cons(esk5_0,nil) = esk3_0 )
    & ( nil = esk4_0
      | memberP(esk4_0,esk5_0) )
    & ( nil = esk3_0
      | memberP(esk4_0,esk5_0) ) ),
    inference(distribute,[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_3])])])])])])]) ).

fof(c_0_5,plain,
    ! [X2] :
      ( ~ ssItem(X2)
      | strictorderedP(cons(X2,nil)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax68])]) ).

cnf(c_0_6,negated_conjecture,
    ( cons(esk5_0,nil) = esk3_0
    | nil = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    esk1_0 = esk3_0,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ( ssItem(esk5_0)
    | nil = esk3_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    ( strictorderedP(cons(X1,nil))
    | ~ ssItem(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ( cons(esk5_0,nil) = esk1_0
    | nil = esk1_0 ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7]),c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ~ strictorderedP(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,negated_conjecture,
    ( nil = esk1_0
    | ssItem(esk5_0) ),
    inference(rw,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_13,plain,
    strictorderedP(nil),
    inference(split_conjunct,[status(thm)],[ax69]) ).

cnf(c_0_14,negated_conjecture,
    nil = esk1_0,
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]) ).

cnf(c_0_15,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWC293+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jun 12 22:48:33 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.26/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.43  # Preprocessing time       : 0.023 s
% 0.26/1.43  
% 0.26/1.43  # Proof found!
% 0.26/1.43  # SZS status Theorem
% 0.26/1.43  # SZS output start CNFRefutation
% See solution above
% 0.26/1.43  # Proof object total steps             : 16
% 0.26/1.43  # Proof object clause steps            : 10
% 0.26/1.43  # Proof object formula steps           : 6
% 0.26/1.43  # Proof object conjectures             : 10
% 0.26/1.43  # Proof object clause conjectures      : 7
% 0.26/1.43  # Proof object formula conjectures     : 3
% 0.26/1.43  # Proof object initial clauses used    : 6
% 0.26/1.43  # Proof object initial formulas used   : 3
% 0.26/1.43  # Proof object generating inferences   : 1
% 0.26/1.43  # Proof object simplifying inferences  : 7
% 0.26/1.43  # Training examples: 0 positive, 0 negative
% 0.26/1.43  # Parsed axioms                        : 96
% 0.26/1.43  # Removed by relevancy pruning/SinE    : 52
% 0.26/1.43  # Initial clauses                      : 85
% 0.26/1.43  # Removed in clause preprocessing      : 1
% 0.26/1.43  # Initial clauses in saturation        : 84
% 0.26/1.43  # Processed clauses                    : 85
% 0.26/1.43  # ...of these trivial                  : 2
% 0.26/1.43  # ...subsumed                          : 1
% 0.26/1.43  # ...remaining for further processing  : 82
% 0.26/1.43  # Other redundant clauses eliminated   : 5
% 0.26/1.43  # Clauses deleted for lack of memory   : 0
% 0.26/1.43  # Backward-subsumed                    : 0
% 0.26/1.43  # Backward-rewritten                   : 33
% 0.26/1.43  # Generated clauses                    : 240
% 0.26/1.43  # ...of the previous two non-trivial   : 223
% 0.26/1.43  # Contextual simplify-reflections      : 2
% 0.26/1.43  # Paramodulations                      : 228
% 0.26/1.43  # Factorizations                       : 0
% 0.26/1.43  # Equation resolutions                 : 12
% 0.26/1.43  # Current number of processed clauses  : 47
% 0.26/1.43  #    Positive orientable unit clauses  : 7
% 0.26/1.43  #    Positive unorientable unit clauses: 0
% 0.26/1.43  #    Negative unit clauses             : 2
% 0.26/1.43  #    Non-unit-clauses                  : 38
% 0.26/1.43  # Current number of unprocessed clauses: 79
% 0.26/1.43  # ...number of literals in the above   : 463
% 0.26/1.43  # Current number of archived formulas  : 0
% 0.26/1.43  # Current number of archived clauses   : 33
% 0.26/1.43  # Clause-clause subsumption calls (NU) : 666
% 0.26/1.43  # Rec. Clause-clause subsumption calls : 119
% 0.26/1.43  # Non-unit clause-clause subsumptions  : 3
% 0.26/1.43  # Unit Clause-clause subsumption calls : 2
% 0.26/1.43  # Rewrite failures with RHS unbound    : 0
% 0.26/1.43  # BW rewrite match attempts            : 1
% 0.26/1.43  # BW rewrite match successes           : 1
% 0.26/1.43  # Condensation attempts                : 0
% 0.26/1.43  # Condensation successes               : 0
% 0.26/1.43  # Termbank termtop insertions          : 10783
% 0.26/1.43  
% 0.26/1.43  # -------------------------------------------------
% 0.26/1.43  # User time                : 0.032 s
% 0.26/1.43  # System time              : 0.004 s
% 0.26/1.43  # Total time               : 0.036 s
% 0.26/1.43  # Maximum resident set size: 3468 pages
%------------------------------------------------------------------------------