TSTP Solution File: NUM318+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : NUM318+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n004.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 09:31:36 EDT 2022

% Result   : Theorem 0.24s 1.41s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   5   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-1 aty)
%            Number of variables   :   10 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(sum_n5_nn5_n0,conjecture,
    sum(n5,nn5,n0),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',sum_n5_nn5_n0) ).

fof(sum_entry_point_posx_negx,axiom,
    ! [X13,X14,X10] :
      ( ( rdn_translate(X13,rdn_pos(X10))
        & rdn_translate(X14,rdn_neg(X10)) )
     => sum(X13,X14,n0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+2.ax',sum_entry_point_posx_negx) ).

fof(rdnn5,axiom,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdnn5) ).

fof(rdn5,axiom,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    file('/export/starexec/sandbox2/benchmark/Axioms/NUM005+0.ax',rdn5) ).

fof(c_0_4,negated_conjecture,
    ~ sum(n5,nn5,n0),
    inference(assume_negation,[status(cth)],[sum_n5_nn5_n0]) ).

fof(c_0_5,plain,
    ! [X15,X16,X17] :
      ( ~ rdn_translate(X15,rdn_pos(X17))
      | ~ rdn_translate(X16,rdn_neg(X17))
      | sum(X15,X16,n0) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[sum_entry_point_posx_negx])])])]) ).

fof(c_0_6,negated_conjecture,
    ~ sum(n5,nn5,n0),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( sum(X1,X2,n0)
    | ~ rdn_translate(X2,rdn_neg(X3))
    | ~ rdn_translate(X1,rdn_pos(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    rdn_translate(nn5,rdn_neg(rdnn(n5))),
    inference(split_conjunct,[status(thm)],[rdnn5]) ).

cnf(c_0_9,negated_conjecture,
    ~ sum(n5,nn5,n0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( sum(X1,nn5,n0)
    | ~ rdn_translate(X1,rdn_pos(rdnn(n5))) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    rdn_translate(n5,rdn_pos(rdnn(n5))),
    inference(split_conjunct,[status(thm)],[rdn5]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM318+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n004.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 : Thu Jul  7 06:47:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.24/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41  # Preprocessing time       : 0.022 s
% 0.24/1.41  
% 0.24/1.41  # Proof found!
% 0.24/1.41  # SZS status Theorem
% 0.24/1.41  # SZS output start CNFRefutation
% See solution above
% 0.24/1.41  # Proof object total steps             : 13
% 0.24/1.41  # Proof object clause steps            : 6
% 0.24/1.41  # Proof object formula steps           : 7
% 0.24/1.41  # Proof object conjectures             : 5
% 0.24/1.41  # Proof object clause conjectures      : 2
% 0.24/1.41  # Proof object formula conjectures     : 3
% 0.24/1.41  # Proof object initial clauses used    : 4
% 0.24/1.41  # Proof object initial formulas used   : 4
% 0.24/1.41  # Proof object generating inferences   : 2
% 0.24/1.41  # Proof object simplifying inferences  : 2
% 0.24/1.41  # Training examples: 0 positive, 0 negative
% 0.24/1.41  # Parsed axioms                        : 402
% 0.24/1.41  # Removed by relevancy pruning/SinE    : 301
% 0.24/1.41  # Initial clauses                      : 101
% 0.24/1.41  # Removed in clause preprocessing      : 0
% 0.24/1.41  # Initial clauses in saturation        : 101
% 0.24/1.41  # Processed clauses                    : 102
% 0.24/1.41  # ...of these trivial                  : 0
% 0.24/1.41  # ...subsumed                          : 0
% 0.24/1.41  # ...remaining for further processing  : 102
% 0.24/1.41  # Other redundant clauses eliminated   : 0
% 0.24/1.41  # Clauses deleted for lack of memory   : 0
% 0.24/1.41  # Backward-subsumed                    : 0
% 0.24/1.41  # Backward-rewritten                   : 0
% 0.24/1.41  # Generated clauses                    : 61
% 0.24/1.41  # ...of the previous two non-trivial   : 57
% 0.24/1.41  # Contextual simplify-reflections      : 0
% 0.24/1.41  # Paramodulations                      : 61
% 0.24/1.41  # Factorizations                       : 0
% 0.24/1.41  # Equation resolutions                 : 0
% 0.24/1.41  # Current number of processed clauses  : 102
% 0.24/1.41  #    Positive orientable unit clauses  : 86
% 0.24/1.41  #    Positive unorientable unit clauses: 0
% 0.24/1.41  #    Negative unit clauses             : 1
% 0.24/1.41  #    Non-unit-clauses                  : 15
% 0.24/1.41  # Current number of unprocessed clauses: 56
% 0.24/1.41  # ...number of literals in the above   : 120
% 0.24/1.41  # Current number of archived formulas  : 0
% 0.24/1.41  # Current number of archived clauses   : 0
% 0.24/1.41  # Clause-clause subsumption calls (NU) : 17
% 0.24/1.41  # Rec. Clause-clause subsumption calls : 9
% 0.24/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.24/1.41  # Unit Clause-clause subsumption calls : 0
% 0.24/1.41  # Rewrite failures with RHS unbound    : 0
% 0.24/1.41  # BW rewrite match attempts            : 0
% 0.24/1.41  # BW rewrite match successes           : 0
% 0.24/1.41  # Condensation attempts                : 0
% 0.24/1.41  # Condensation successes               : 0
% 0.24/1.41  # Termbank termtop insertions          : 9397
% 0.24/1.41  
% 0.24/1.41  # -------------------------------------------------
% 0.24/1.41  # User time                : 0.021 s
% 0.24/1.41  # System time              : 0.005 s
% 0.24/1.41  # Total time               : 0.026 s
% 0.24/1.41  # Maximum resident set size: 4252 pages
%------------------------------------------------------------------------------