TSTP Solution File: NUN088+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUN088+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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 : Mon Jul 18 16:26:08 EDT 2022

% Result   : Theorem 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   27 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   36 (  20   ~;  13   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   16 (   1 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(zerounidone,conjecture,
    ! [X63] :
      ( ! [X46] :
          ( ~ id(X46,X63)
          | ~ r1(X46) )
      | ! [X47] :
          ( ~ r1(X47)
          | ~ r2(X47,X63) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',zerounidone) ).

fof(axiom_7a,axiom,
    ! [X65,X66] :
      ( ! [X67] :
          ( ~ id(X67,X66)
          | ~ r1(X67) )
      | ~ r2(X65,X66) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM009+0.ax',axiom_7a) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X63] :
        ( ! [X46] :
            ( ~ id(X46,X63)
            | ~ r1(X46) )
        | ! [X47] :
            ( ~ r1(X47)
            | ~ r2(X47,X63) ) ),
    inference(assume_negation,[status(cth)],[zerounidone]) ).

fof(c_0_3,plain,
    ! [X68,X69,X70] :
      ( ~ id(X70,X69)
      | ~ r1(X70)
      | ~ r2(X68,X69) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_7a])])])])]) ).

fof(c_0_4,negated_conjecture,
    ( id(esk2_0,esk1_0)
    & r1(esk2_0)
    & r1(esk3_0)
    & r2(esk3_0,esk1_0) ),
    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_2])])])])])]) ).

cnf(c_0_5,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X3)
    | ~ id(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,negated_conjecture,
    r2(esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ r1(X1)
    | ~ id(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    r1(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    id(esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUN088+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  2 03:25:15 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42  # Preprocessing time       : 0.017 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 11
% 0.23/1.42  # Proof object clause steps            : 6
% 0.23/1.42  # Proof object formula steps           : 5
% 0.23/1.42  # Proof object conjectures             : 8
% 0.23/1.42  # Proof object clause conjectures      : 5
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 4
% 0.23/1.42  # Proof object initial formulas used   : 2
% 0.23/1.42  # Proof object generating inferences   : 2
% 0.23/1.42  # Proof object simplifying inferences  : 2
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 19
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 62
% 0.23/1.42  # Removed in clause preprocessing      : 16
% 0.23/1.42  # Initial clauses in saturation        : 46
% 0.23/1.42  # Processed clauses                    : 53
% 0.23/1.42  # ...of these trivial                  : 0
% 0.23/1.42  # ...subsumed                          : 0
% 0.23/1.42  # ...remaining for further processing  : 53
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 0
% 0.23/1.42  # Backward-rewritten                   : 0
% 0.23/1.42  # Generated clauses                    : 129
% 0.23/1.42  # ...of the previous two non-trivial   : 112
% 0.23/1.42  # Contextual simplify-reflections      : 0
% 0.23/1.42  # Paramodulations                      : 129
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 0
% 0.23/1.42  # Current number of processed clauses  : 53
% 0.23/1.42  #    Positive orientable unit clauses  : 28
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 0
% 0.23/1.42  #    Non-unit-clauses                  : 25
% 0.23/1.42  # Current number of unprocessed clauses: 105
% 0.23/1.42  # ...number of literals in the above   : 246
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 0
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 198
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 87
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.42  # Unit Clause-clause subsumption calls : 11
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 1
% 0.23/1.42  # BW rewrite match successes           : 0
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 3735
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.018 s
% 0.23/1.42  # System time              : 0.002 s
% 0.23/1.42  # Total time               : 0.020 s
% 0.23/1.42  # Maximum resident set size: 3060 pages
%------------------------------------------------------------------------------