TSTP Solution File: NUM297+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM297+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n015.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 08:24:07 EDT 2022

% Result   : Theorem 8.69s 2.51s
% Output   : CNFRefutation 8.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  12 unt;   0 nHn;  18 RR)
%            Number of literals    :   31 (   0 equ;  16 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_6,plain,
    ( less(X1,X2)
    | ~ rdn_positive_less(X3,X4)
    | ~ rdn_translate(X2,rdn_neg(X3))
    | ~ rdn_translate(X1,rdn_neg(X4)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32eb_dtj/input.p',i_0_6) ).

cnf(i_0_139,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32eb_dtj/input.p',i_0_139) ).

cnf(i_0_154,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32eb_dtj/input.p',i_0_154) ).

cnf(i_0_146,plain,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32eb_dtj/input.p',i_0_146) ).

cnf(i_0_140,plain,
    rdn_translate(nn4,rdn_neg(rdnn(n4))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32eb_dtj/input.p',i_0_140) ).

cnf(i_0_18,negated_conjecture,
    ~ less(nn4,nn2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32eb_dtj/input.p',i_0_18) ).

cnf(i_0_145,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-32eb_dtj/input.p',i_0_145) ).

cnf(c_0_162,plain,
    ( less(X1,X2)
    | ~ rdn_positive_less(X3,X4)
    | ~ rdn_translate(X2,rdn_neg(X3))
    | ~ rdn_translate(X1,rdn_neg(X4)) ),
    i_0_6 ).

cnf(c_0_163,plain,
    rdn_translate(nn2,rdn_neg(rdnn(n2))),
    i_0_139 ).

cnf(c_0_164,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X3),rdnn(X2))
    | ~ rdn_positive_less(rdnn(X1),rdnn(X3)) ),
    i_0_154 ).

cnf(c_0_165,plain,
    rdn_positive_less(rdnn(n3),rdnn(n4)),
    i_0_146 ).

cnf(c_0_166,plain,
    ( less(X1,nn2)
    | ~ rdn_translate(X1,rdn_neg(X2))
    | ~ rdn_positive_less(rdnn(n2),X2) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_167,plain,
    rdn_translate(nn4,rdn_neg(rdnn(n4))),
    i_0_140 ).

cnf(c_0_168,negated_conjecture,
    ~ less(nn4,nn2),
    i_0_18 ).

cnf(c_0_169,plain,
    ( rdn_positive_less(rdnn(X1),rdnn(n4))
    | ~ rdn_positive_less(rdnn(X1),rdnn(n3)) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_170,plain,
    rdn_positive_less(rdnn(n2),rdnn(n3)),
    i_0_145 ).

cnf(c_0_171,plain,
    ~ rdn_positive_less(rdnn(n2),rdnn(n4)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_168]) ).

cnf(c_0_172,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_170]),c_0_171]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM297+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n015.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 : Fri Jul  8 00:16:52 EDT 2022
% 0.18/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.69/2.51  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 8.69/2.51  # Version: 2.1pre011
% 8.69/2.51  # Preprocessing time       : 0.018 s
% 8.69/2.51  
% 8.69/2.51  # Proof found!
% 8.69/2.51  # SZS status Theorem
% 8.69/2.51  # SZS output start CNFRefutation
% See solution above
% 8.69/2.51  # Proof object total steps             : 18
% 8.69/2.51  # Proof object clause steps            : 11
% 8.69/2.51  # Proof object formula steps           : 7
% 8.69/2.51  # Proof object conjectures             : 2
% 8.69/2.51  # Proof object clause conjectures      : 1
% 8.69/2.51  # Proof object formula conjectures     : 1
% 8.69/2.51  # Proof object initial clauses used    : 7
% 8.69/2.51  # Proof object initial formulas used   : 7
% 8.69/2.51  # Proof object generating inferences   : 4
% 8.69/2.51  # Proof object simplifying inferences  : 2
% 8.69/2.51  # Training examples: 0 positive, 0 negative
% 8.69/2.51  # Parsed axioms                        : 163
% 8.69/2.51  # Removed by relevancy pruning/SinE    : 0
% 8.69/2.51  # Initial clauses                      : 163
% 8.69/2.51  # Removed in clause preprocessing      : 0
% 8.69/2.51  # Initial clauses in saturation        : 163
% 8.69/2.51  # Processed clauses                    : 360
% 8.69/2.51  # ...of these trivial                  : 0
% 8.69/2.51  # ...subsumed                          : 9
% 8.69/2.51  # ...remaining for further processing  : 351
% 8.69/2.51  # Other redundant clauses eliminated   : 2
% 8.69/2.51  # Clauses deleted for lack of memory   : 0
% 8.69/2.51  # Backward-subsumed                    : 0
% 8.69/2.51  # Backward-rewritten                   : 0
% 8.69/2.51  # Generated clauses                    : 487
% 8.69/2.51  # ...of the previous two non-trivial   : 464
% 8.69/2.51  # Contextual simplify-reflections      : 4
% 8.69/2.51  # Paramodulations                      : 483
% 8.69/2.51  # Factorizations                       : 2
% 8.69/2.51  # Equation resolutions                 : 2
% 8.69/2.51  # Propositional unsat checks           : 0
% 8.69/2.51  # Propositional unsat check successes  : 0
% 8.69/2.51  # Current number of processed clauses  : 349
% 8.69/2.51  #    Positive orientable unit clauses  : 162
% 8.69/2.51  #    Positive unorientable unit clauses: 0
% 8.69/2.51  #    Negative unit clauses             : 57
% 8.69/2.51  #    Non-unit-clauses                  : 130
% 8.69/2.51  # Current number of unprocessed clauses: 267
% 8.69/2.51  # ...number of literals in the above   : 1047
% 8.69/2.51  # Current number of archived formulas  : 0
% 8.69/2.51  # Current number of archived clauses   : 0
% 8.69/2.51  # Clause-clause subsumption calls (NU) : 2551
% 8.69/2.51  # Rec. Clause-clause subsumption calls : 1946
% 8.69/2.51  # Non-unit clause-clause subsumptions  : 9
% 8.69/2.51  # Unit Clause-clause subsumption calls : 3112
% 8.69/2.51  # Rewrite failures with RHS unbound    : 0
% 8.69/2.51  # BW rewrite match attempts            : 1
% 8.69/2.51  # BW rewrite match successes           : 0
% 8.69/2.51  # Condensation attempts                : 0
% 8.69/2.51  # Condensation successes               : 0
% 8.69/2.51  # Termbank termtop insertions          : 12152
% 8.69/2.51  
% 8.69/2.51  # -------------------------------------------------
% 8.69/2.51  # User time                : 0.026 s
% 8.69/2.51  # System time              : 0.005 s
% 8.69/2.51  # Total time               : 0.031 s
% 8.69/2.51  # ...preprocessing         : 0.018 s
% 8.69/2.51  # ...main loop             : 0.013 s
% 8.69/2.51  # Maximum resident set size: 7124 pages
% 8.69/2.51  
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