TSTP Solution File: KLE002+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE002+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 01:49:27 EDT 2022

% Result   : Theorem 8.68s 2.83s
% Output   : CNFRefutation 8.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   9 unt;   0 nHn;  11 RR)
%            Number of literals    :   17 (   8 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5,negated_conjecture,
    ~ leq(multiplication(esk1_0,esk3_0),multiplication(esk2_0,esk3_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6clp9kku/input.p',i_0_5) ).

cnf(i_0_12,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6clp9kku/input.p',i_0_12) ).

cnf(i_0_8,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6clp9kku/input.p',i_0_8) ).

cnf(i_0_13,plain,
    ( addition(X1,X2) = X2
    | ~ leq(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6clp9kku/input.p',i_0_13) ).

cnf(i_0_6,negated_conjecture,
    leq(esk1_0,esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-6clp9kku/input.p',i_0_6) ).

cnf(c_0_19,negated_conjecture,
    ~ leq(multiplication(esk1_0,esk3_0),multiplication(esk2_0,esk3_0)),
    i_0_5 ).

cnf(c_0_20,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    i_0_12 ).

cnf(c_0_21,plain,
    addition(multiplication(X1,X2),multiplication(X3,X2)) = multiplication(addition(X1,X3),X2),
    i_0_8 ).

cnf(c_0_22,plain,
    ( addition(X1,X2) = X2
    | ~ leq(X1,X2) ),
    i_0_13 ).

cnf(c_0_23,negated_conjecture,
    leq(esk1_0,esk2_0),
    i_0_6 ).

cnf(c_0_24,negated_conjecture,
    multiplication(addition(esk1_0,esk2_0),esk3_0) != multiplication(esk2_0,esk3_0),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    addition(esk1_0,esk2_0) = esk2_0,
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KLE002+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 13:19:58 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.68/2.83  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 8.68/2.83  # Version: 2.1pre011
% 8.68/2.83  # Preprocessing time       : 0.009 s
% 8.68/2.83  
% 8.68/2.83  # Proof found!
% 8.68/2.83  # SZS status Theorem
% 8.68/2.83  # SZS output start CNFRefutation
% See solution above
% 8.68/2.83  # Proof object total steps             : 13
% 8.68/2.83  # Proof object clause steps            : 8
% 8.68/2.83  # Proof object formula steps           : 5
% 8.68/2.83  # Proof object conjectures             : 7
% 8.68/2.83  # Proof object clause conjectures      : 5
% 8.68/2.83  # Proof object formula conjectures     : 2
% 8.68/2.83  # Proof object initial clauses used    : 5
% 8.68/2.83  # Proof object initial formulas used   : 5
% 8.68/2.83  # Proof object generating inferences   : 2
% 8.68/2.83  # Proof object simplifying inferences  : 3
% 8.68/2.83  # Training examples: 0 positive, 0 negative
% 8.68/2.83  # Parsed axioms                        : 15
% 8.68/2.83  # Removed by relevancy pruning/SinE    : 0
% 8.68/2.83  # Initial clauses                      : 15
% 8.68/2.83  # Removed in clause preprocessing      : 0
% 8.68/2.83  # Initial clauses in saturation        : 15
% 8.68/2.83  # Processed clauses                    : 17
% 8.68/2.83  # ...of these trivial                  : 0
% 8.68/2.83  # ...subsumed                          : 0
% 8.68/2.83  # ...remaining for further processing  : 17
% 8.68/2.83  # Other redundant clauses eliminated   : 0
% 8.68/2.83  # Clauses deleted for lack of memory   : 0
% 8.68/2.83  # Backward-subsumed                    : 0
% 8.68/2.83  # Backward-rewritten                   : 1
% 8.68/2.83  # Generated clauses                    : 53
% 8.68/2.83  # ...of the previous two non-trivial   : 25
% 8.68/2.83  # Contextual simplify-reflections      : 0
% 8.68/2.83  # Paramodulations                      : 53
% 8.68/2.83  # Factorizations                       : 0
% 8.68/2.83  # Equation resolutions                 : 0
% 8.68/2.83  # Propositional unsat checks           : 0
% 8.68/2.83  # Propositional unsat check successes  : 0
% 8.68/2.83  # Current number of processed clauses  : 16
% 8.68/2.83  #    Positive orientable unit clauses  : 12
% 8.68/2.83  #    Positive unorientable unit clauses: 1
% 8.68/2.83  #    Negative unit clauses             : 1
% 8.68/2.83  #    Non-unit-clauses                  : 2
% 8.68/2.83  # Current number of unprocessed clauses: 23
% 8.68/2.83  # ...number of literals in the above   : 23
% 8.68/2.83  # Current number of archived formulas  : 0
% 8.68/2.83  # Current number of archived clauses   : 1
% 8.68/2.83  # Clause-clause subsumption calls (NU) : 0
% 8.68/2.83  # Rec. Clause-clause subsumption calls : 0
% 8.68/2.83  # Non-unit clause-clause subsumptions  : 0
% 8.68/2.83  # Unit Clause-clause subsumption calls : 1
% 8.68/2.83  # Rewrite failures with RHS unbound    : 0
% 8.68/2.83  # BW rewrite match attempts            : 10
% 8.68/2.83  # BW rewrite match successes           : 7
% 8.68/2.83  # Condensation attempts                : 0
% 8.68/2.83  # Condensation successes               : 0
% 8.68/2.83  # Termbank termtop insertions          : 554
% 8.68/2.83  
% 8.68/2.83  # -------------------------------------------------
% 8.68/2.83  # User time                : 0.007 s
% 8.68/2.83  # System time              : 0.002 s
% 8.68/2.83  # Total time               : 0.009 s
% 8.68/2.83  # ...preprocessing         : 0.009 s
% 8.68/2.83  # ...main loop             : 0.001 s
% 8.68/2.83  # Maximum resident set size: 7128 pages
% 8.68/2.83  
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