TSTP Solution File: NUM304+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM304+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% 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 : Mon Jul 18 08:24:10 EDT 2022

% Result   : Theorem 6.78s 2.26s
% Output   : CNFRefutation 6.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  11 RR)
%            Number of literals    :   21 (   4 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-1 aty)
%            Number of variables   :   18 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
    ( X1 != X2
    | ~ less(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xi9fpj8c/input.p',i_0_13) ).

cnf(i_0_7,plain,
    ( less(X1,X2)
    | ~ rdn_translate(X2,rdn_pos(X3))
    | ~ rdn_translate(X1,rdn_neg(X4)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xi9fpj8c/input.p',i_0_7) ).

cnf(i_0_153,negated_conjecture,
    X1 = n12,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xi9fpj8c/input.p',i_0_153) ).

cnf(i_0_20,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-xi9fpj8c/input.p',i_0_20) ).

cnf(c_0_158,plain,
    ( X1 != X2
    | ~ less(X2,X1) ),
    i_0_13 ).

cnf(c_0_159,plain,
    ( less(X1,X2)
    | ~ rdn_translate(X2,rdn_pos(X3))
    | ~ rdn_translate(X1,rdn_neg(X4)) ),
    i_0_7 ).

cnf(c_0_160,negated_conjecture,
    X1 = n12,
    i_0_153 ).

cnf(c_0_161,plain,
    rdn_translate(n1,rdn_pos(rdnn(n1))),
    i_0_20 ).

cnf(c_0_162,plain,
    ~ less(X1,X1),
    inference(er,[status(thm)],[c_0_158]) ).

cnf(c_0_163,plain,
    ( less(X1,X2)
    | ~ rdn_translate(X2,n12)
    | ~ rdn_translate(X1,n12) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_159,c_0_160]),c_0_160]) ).

cnf(c_0_164,plain,
    rdn_translate(n1,n12),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_161,c_0_160]),c_0_160]) ).

cnf(c_0_165,plain,
    ~ rdn_translate(X1,n12),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_166,plain,
    $false,
    inference(sr,[status(thm)],[c_0_164,c_0_165]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM304+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n026.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 : Tue Jul  5 07:20:24 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.78/2.26  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 6.78/2.26  # Version: 2.1pre011
% 6.78/2.26  # Preprocessing time       : 0.012 s
% 6.78/2.26  
% 6.78/2.26  # Proof found!
% 6.78/2.26  # SZS status Theorem
% 6.78/2.26  # SZS output start CNFRefutation
% See solution above
% 6.78/2.26  # Proof object total steps             : 13
% 6.78/2.26  # Proof object clause steps            : 9
% 6.78/2.26  # Proof object formula steps           : 4
% 6.78/2.26  # Proof object conjectures             : 2
% 6.78/2.26  # Proof object clause conjectures      : 1
% 6.78/2.26  # Proof object formula conjectures     : 1
% 6.78/2.26  # Proof object initial clauses used    : 4
% 6.78/2.26  # Proof object initial formulas used   : 4
% 6.78/2.26  # Proof object generating inferences   : 1
% 6.78/2.26  # Proof object simplifying inferences  : 6
% 6.78/2.26  # Training examples: 0 positive, 0 negative
% 6.78/2.26  # Parsed axioms                        : 162
% 6.78/2.26  # Removed by relevancy pruning/SinE    : 0
% 6.78/2.26  # Initial clauses                      : 162
% 6.78/2.26  # Removed in clause preprocessing      : 0
% 6.78/2.26  # Initial clauses in saturation        : 162
% 6.78/2.26  # Processed clauses                    : 164
% 6.78/2.26  # ...of these trivial                  : 124
% 6.78/2.26  # ...subsumed                          : 5
% 6.78/2.26  # ...remaining for further processing  : 35
% 6.78/2.26  # Other redundant clauses eliminated   : 2
% 6.78/2.26  # Clauses deleted for lack of memory   : 0
% 6.78/2.26  # Backward-subsumed                    : 0
% 6.78/2.26  # Backward-rewritten                   : 0
% 6.78/2.26  # Generated clauses                    : 81
% 6.78/2.26  # ...of the previous two non-trivial   : 38
% 6.78/2.26  # Contextual simplify-reflections      : 4
% 6.78/2.26  # Paramodulations                      : 66
% 6.78/2.26  # Factorizations                       : 2
% 6.78/2.26  # Equation resolutions                 : 2
% 6.78/2.26  # Propositional unsat checks           : 0
% 6.78/2.26  # Propositional unsat check successes  : 0
% 6.78/2.26  # Current number of processed clauses  : 22
% 6.78/2.26  #    Positive orientable unit clauses  : 5
% 6.78/2.26  #    Positive unorientable unit clauses: 1
% 6.78/2.26  #    Negative unit clauses             : 2
% 6.78/2.26  #    Non-unit-clauses                  : 14
% 6.78/2.26  # Current number of unprocessed clauses: 24
% 6.78/2.26  # ...number of literals in the above   : 50
% 6.78/2.26  # Current number of archived formulas  : 0
% 6.78/2.26  # Current number of archived clauses   : 11
% 6.78/2.26  # Clause-clause subsumption calls (NU) : 193
% 6.78/2.26  # Rec. Clause-clause subsumption calls : 75
% 6.78/2.26  # Non-unit clause-clause subsumptions  : 9
% 6.78/2.26  # Unit Clause-clause subsumption calls : 49
% 6.78/2.26  # Rewrite failures with RHS unbound    : 0
% 6.78/2.26  # BW rewrite match attempts            : 0
% 6.78/2.26  # BW rewrite match successes           : 0
% 6.78/2.26  # Condensation attempts                : 0
% 6.78/2.26  # Condensation successes               : 0
% 6.78/2.26  # Termbank termtop insertions          : 3778
% 6.78/2.26  
% 6.78/2.26  # -------------------------------------------------
% 6.78/2.26  # User time                : 0.010 s
% 6.78/2.26  # System time              : 0.004 s
% 6.78/2.26  # Total time               : 0.014 s
% 6.78/2.26  # ...preprocessing         : 0.012 s
% 6.78/2.26  # ...main loop             : 0.001 s
% 6.78/2.26  # Maximum resident set size: 7132 pages
% 6.78/2.26  
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