TSTP Solution File: SWV405+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV405+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.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 : Wed Jul 20 18:16:29 EDT 2022

% Result   : Theorem 0.25s 1.43s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   20 (   9   ~;   5   |;   2   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-3 aty)
%            Number of variables   :   22 (   4 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(l41_co,conjecture,
    ! [X1,X2] :
      ( check_cpq(triple(X1,create_slb,X2))
    <=> ! [X3,X4] :
          ( pair_in_list(create_slb,X3,X4)
         => less_than(X4,X3) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l41_co) ).

fof(ax36,axiom,
    ! [X1,X2] : check_cpq(triple(X1,create_slb,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax36) ).

fof(ax22,axiom,
    ! [X1,X2] : ~ pair_in_list(create_slb,X1,X2),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax22) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2] :
        ( check_cpq(triple(X1,create_slb,X2))
      <=> ! [X3,X4] :
            ( pair_in_list(create_slb,X3,X4)
           => less_than(X4,X3) ) ),
    inference(assume_negation,[status(cth)],[l41_co]) ).

fof(c_0_4,negated_conjecture,
    ! [X9,X10] :
      ( ( pair_in_list(create_slb,esk3_0,esk4_0)
        | ~ check_cpq(triple(esk1_0,create_slb,esk2_0)) )
      & ( ~ less_than(esk4_0,esk3_0)
        | ~ check_cpq(triple(esk1_0,create_slb,esk2_0)) )
      & ( check_cpq(triple(esk1_0,create_slb,esk2_0))
        | ~ pair_in_list(create_slb,X9,X10)
        | less_than(X10,X9) ) ),
    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)],[c_0_3])])])])])])]) ).

fof(c_0_5,plain,
    ! [X3,X4] : check_cpq(triple(X3,create_slb,X4)),
    inference(variable_rename,[status(thm)],[ax36]) ).

fof(c_0_6,plain,
    ! [X3,X4] : ~ pair_in_list(create_slb,X3,X4),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[ax22])]) ).

cnf(c_0_7,negated_conjecture,
    ( pair_in_list(create_slb,esk3_0,esk4_0)
    | ~ check_cpq(triple(esk1_0,create_slb,esk2_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    check_cpq(triple(X1,create_slb,X2)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ~ pair_in_list(create_slb,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV405+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n026.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 15 12:05:37 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.25/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.43  # Preprocessing time       : 0.018 s
% 0.25/1.43  
% 0.25/1.43  # Proof found!
% 0.25/1.43  # SZS status Theorem
% 0.25/1.43  # SZS output start CNFRefutation
% See solution above
% 0.25/1.43  # Proof object total steps             : 11
% 0.25/1.43  # Proof object clause steps            : 4
% 0.25/1.43  # Proof object formula steps           : 7
% 0.25/1.43  # Proof object conjectures             : 5
% 0.25/1.43  # Proof object clause conjectures      : 2
% 0.25/1.43  # Proof object formula conjectures     : 3
% 0.25/1.43  # Proof object initial clauses used    : 3
% 0.25/1.43  # Proof object initial formulas used   : 3
% 0.25/1.43  # Proof object generating inferences   : 0
% 0.25/1.43  # Proof object simplifying inferences  : 3
% 0.25/1.43  # Training examples: 0 positive, 0 negative
% 0.25/1.43  # Parsed axioms                        : 42
% 0.25/1.43  # Removed by relevancy pruning/SinE    : 15
% 0.25/1.43  # Initial clauses                      : 37
% 0.25/1.43  # Removed in clause preprocessing      : 0
% 0.25/1.43  # Initial clauses in saturation        : 37
% 0.25/1.43  # Processed clauses                    : 38
% 0.25/1.43  # ...of these trivial                  : 1
% 0.25/1.43  # ...subsumed                          : 0
% 0.25/1.43  # ...remaining for further processing  : 36
% 0.25/1.43  # Other redundant clauses eliminated   : 3
% 0.25/1.43  # Clauses deleted for lack of memory   : 0
% 0.25/1.43  # Backward-subsumed                    : 0
% 0.25/1.43  # Backward-rewritten                   : 2
% 0.25/1.43  # Generated clauses                    : 25
% 0.25/1.43  # ...of the previous two non-trivial   : 19
% 0.25/1.43  # Contextual simplify-reflections      : 2
% 0.25/1.43  # Paramodulations                      : 21
% 0.25/1.43  # Factorizations                       : 2
% 0.25/1.43  # Equation resolutions                 : 3
% 0.25/1.43  # Current number of processed clauses  : 32
% 0.25/1.43  #    Positive orientable unit clauses  : 7
% 0.25/1.43  #    Positive unorientable unit clauses: 0
% 0.25/1.43  #    Negative unit clauses             : 2
% 0.25/1.43  #    Non-unit-clauses                  : 23
% 0.25/1.43  # Current number of unprocessed clauses: 18
% 0.25/1.43  # ...number of literals in the above   : 54
% 0.25/1.43  # Current number of archived formulas  : 0
% 0.25/1.43  # Current number of archived clauses   : 2
% 0.25/1.43  # Clause-clause subsumption calls (NU) : 69
% 0.25/1.43  # Rec. Clause-clause subsumption calls : 45
% 0.25/1.43  # Non-unit clause-clause subsumptions  : 2
% 0.25/1.43  # Unit Clause-clause subsumption calls : 3
% 0.25/1.43  # Rewrite failures with RHS unbound    : 0
% 0.25/1.43  # BW rewrite match attempts            : 2
% 0.25/1.43  # BW rewrite match successes           : 1
% 0.25/1.43  # Condensation attempts                : 0
% 0.25/1.43  # Condensation successes               : 0
% 0.25/1.43  # Termbank termtop insertions          : 3111
% 0.25/1.43  
% 0.25/1.43  # -------------------------------------------------
% 0.25/1.43  # User time                : 0.017 s
% 0.25/1.43  # System time              : 0.003 s
% 0.25/1.43  # Total time               : 0.020 s
% 0.25/1.43  # Maximum resident set size: 3056 pages
%------------------------------------------------------------------------------