TSTP Solution File: NUM293+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUM293+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 08:24:06 EDT 2022

% Result   : Theorem 4.35s 2.10s
% Output   : CNFRefutation 4.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  10 unt;   0 nHn;  16 RR)
%            Number of literals    :   30 (   0 equ;  17 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   22 (   9 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_8,plain,
    ( less(X1,X2)
    | ~ rdn_positive_less(X3,X4)
    | ~ rdn_translate(X2,rdn_pos(X4))
    | ~ rdn_translate(X1,rdn_pos(X3)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cauod4vr/input.p',i_0_8) ).

cnf(i_0_19,plain,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cauod4vr/input.p',i_0_19) ).

cnf(i_0_153,negated_conjecture,
    ~ less(X1,n13),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cauod4vr/input.p',i_0_153) ).

cnf(i_0_138,plain,
    ( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X3))
    | ~ rdn_non_zero(X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cauod4vr/input.p',i_0_138) ).

cnf(i_0_18,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cauod4vr/input.p',i_0_18) ).

cnf(i_0_139,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cauod4vr/input.p',i_0_139) ).

cnf(i_0_29,plain,
    rdn_non_zero_digit(rdnn(n1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-cauod4vr/input.p',i_0_29) ).

cnf(c_0_161,plain,
    ( less(X1,X2)
    | ~ rdn_positive_less(X3,X4)
    | ~ rdn_translate(X2,rdn_pos(X4))
    | ~ rdn_translate(X1,rdn_pos(X3)) ),
    i_0_8 ).

cnf(c_0_162,plain,
    rdn_translate(n13,rdn_pos(rdn(rdnn(n3),rdnn(n1)))),
    i_0_19 ).

cnf(c_0_163,negated_conjecture,
    ~ less(X1,n13),
    i_0_153 ).

cnf(c_0_164,plain,
    ( ~ rdn_translate(X1,rdn_pos(X2))
    | ~ rdn_positive_less(X2,rdn(rdnn(n3),rdnn(n1))) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_162]),c_0_163]) ).

cnf(c_0_165,plain,
    ( rdn_positive_less(rdnn(X1),rdn(rdnn(X2),X3))
    | ~ rdn_non_zero(X3) ),
    i_0_138 ).

cnf(c_0_166,plain,
    ( ~ rdn_non_zero(rdnn(n1))
    | ~ rdn_translate(X1,rdn_pos(rdnn(X2))) ),
    inference(spm,[status(thm)],[c_0_164,c_0_165]) ).

cnf(c_0_167,plain,
    rdn_translate(n0,rdn_pos(rdnn(n0))),
    i_0_18 ).

cnf(c_0_168,plain,
    ~ rdn_non_zero(rdnn(n1)),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_169,plain,
    ( rdn_non_zero(rdnn(X1))
    | ~ rdn_non_zero_digit(rdnn(X1)) ),
    i_0_139 ).

cnf(c_0_170,plain,
    rdn_non_zero_digit(rdnn(n1)),
    i_0_29 ).

cnf(c_0_171,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM293+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n009.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 17:58:39 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  # ENIGMATIC: Selected SinE mode:
% 0.18/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 4.35/2.10  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 4.35/2.10  # Version: 2.1pre011
% 4.35/2.10  # Preprocessing time       : 0.020 s
% 4.35/2.10  
% 4.35/2.10  # Proof found!
% 4.35/2.10  # SZS status Theorem
% 4.35/2.10  # SZS output start CNFRefutation
% See solution above
% 4.35/2.10  # Proof object total steps             : 18
% 4.35/2.10  # Proof object clause steps            : 11
% 4.35/2.10  # Proof object formula steps           : 7
% 4.35/2.10  # Proof object conjectures             : 2
% 4.35/2.10  # Proof object clause conjectures      : 1
% 4.35/2.10  # Proof object formula conjectures     : 1
% 4.35/2.10  # Proof object initial clauses used    : 7
% 4.35/2.10  # Proof object initial formulas used   : 7
% 4.35/2.10  # Proof object generating inferences   : 4
% 4.35/2.10  # Proof object simplifying inferences  : 3
% 4.35/2.10  # Training examples: 0 positive, 0 negative
% 4.35/2.10  # Parsed axioms                        : 162
% 4.35/2.10  # Removed by relevancy pruning/SinE    : 0
% 4.35/2.10  # Initial clauses                      : 162
% 4.35/2.10  # Removed in clause preprocessing      : 0
% 4.35/2.10  # Initial clauses in saturation        : 162
% 4.35/2.10  # Processed clauses                    : 178
% 4.35/2.10  # ...of these trivial                  : 0
% 4.35/2.10  # ...subsumed                          : 3
% 4.35/2.10  # ...remaining for further processing  : 175
% 4.35/2.10  # Other redundant clauses eliminated   : 2
% 4.35/2.10  # Clauses deleted for lack of memory   : 0
% 4.35/2.10  # Backward-subsumed                    : 0
% 4.35/2.10  # Backward-rewritten                   : 0
% 4.35/2.10  # Generated clauses                    : 249
% 4.35/2.10  # ...of the previous two non-trivial   : 240
% 4.35/2.10  # Contextual simplify-reflections      : 0
% 4.35/2.10  # Paramodulations                      : 245
% 4.35/2.10  # Factorizations                       : 2
% 4.35/2.10  # Equation resolutions                 : 2
% 4.35/2.10  # Propositional unsat checks           : 0
% 4.35/2.10  # Propositional unsat check successes  : 0
% 4.35/2.10  # Current number of processed clauses  : 173
% 4.35/2.10  #    Positive orientable unit clauses  : 131
% 4.35/2.10  #    Positive unorientable unit clauses: 0
% 4.35/2.10  #    Negative unit clauses             : 6
% 4.35/2.10  #    Non-unit-clauses                  : 36
% 4.35/2.10  # Current number of unprocessed clauses: 224
% 4.35/2.10  # ...number of literals in the above   : 957
% 4.35/2.10  # Current number of archived formulas  : 0
% 4.35/2.10  # Current number of archived clauses   : 0
% 4.35/2.10  # Clause-clause subsumption calls (NU) : 592
% 4.35/2.10  # Rec. Clause-clause subsumption calls : 168
% 4.35/2.10  # Non-unit clause-clause subsumptions  : 1
% 4.35/2.10  # Unit Clause-clause subsumption calls : 96
% 4.35/2.10  # Rewrite failures with RHS unbound    : 0
% 4.35/2.10  # BW rewrite match attempts            : 1
% 4.35/2.10  # BW rewrite match successes           : 0
% 4.35/2.10  # Condensation attempts                : 0
% 4.35/2.10  # Condensation successes               : 0
% 4.35/2.10  # Termbank termtop insertions          : 9377
% 4.35/2.10  
% 4.35/2.10  # -------------------------------------------------
% 4.35/2.10  # User time                : 0.025 s
% 4.35/2.10  # System time              : 0.004 s
% 4.35/2.10  # Total time               : 0.029 s
% 4.35/2.10  # ...preprocessing         : 0.020 s
% 4.35/2.10  # ...main loop             : 0.009 s
% 4.35/2.10  # Maximum resident set size: 7124 pages
% 4.35/2.10  
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