TSTP Solution File: KLE007+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE007+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 01:49:29 EDT 2022

% Result   : Theorem 7.90s 2.18s
% Output   : CNFRefutation 7.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (  13 unt;   0 nHn;  19 RR)
%            Number of literals    :   44 (  22 equ;  23 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   29 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_5,negated_conjecture,
    ( ~ leq(one,addition(multiplication(addition(esk1_0,c(esk1_0)),esk2_0),multiplication(addition(esk1_0,c(esk1_0)),c(esk2_0))))
    | ~ leq(addition(multiplication(addition(esk1_0,c(esk1_0)),esk2_0),multiplication(addition(esk1_0,c(esk1_0)),c(esk2_0))),one) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k2daw8ay/input.p',i_0_5) ).

cnf(i_0_16,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k2daw8ay/input.p',i_0_16) ).

cnf(i_0_13,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k2daw8ay/input.p',i_0_13) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k2daw8ay/input.p',i_0_2) ).

cnf(i_0_20,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k2daw8ay/input.p',i_0_20) ).

cnf(i_0_24,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k2daw8ay/input.p',i_0_24) ).

cnf(i_0_12,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k2daw8ay/input.p',i_0_12) ).

cnf(i_0_7,negated_conjecture,
    test(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k2daw8ay/input.p',i_0_7) ).

cnf(i_0_3,plain,
    addition(X1,X1) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k2daw8ay/input.p',i_0_3) ).

cnf(i_0_6,negated_conjecture,
    test(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-k2daw8ay/input.p',i_0_6) ).

cnf(c_0_35,negated_conjecture,
    ( ~ leq(one,addition(multiplication(addition(esk1_0,c(esk1_0)),esk2_0),multiplication(addition(esk1_0,c(esk1_0)),c(esk2_0))))
    | ~ leq(addition(multiplication(addition(esk1_0,c(esk1_0)),esk2_0),multiplication(addition(esk1_0,c(esk1_0)),c(esk2_0))),one) ),
    i_0_5 ).

cnf(c_0_36,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    i_0_16 ).

cnf(c_0_37,negated_conjecture,
    ( ~ leq(one,multiplication(addition(esk1_0,c(esk1_0)),addition(esk2_0,c(esk2_0))))
    | ~ leq(multiplication(addition(esk1_0,c(esk1_0)),addition(esk2_0,c(esk2_0))),one) ),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_36]) ).

cnf(c_0_38,plain,
    ( leq(X1,X2)
    | addition(X1,X2) != X2 ),
    i_0_13 ).

cnf(c_0_39,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_40,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    i_0_20 ).

cnf(c_0_41,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    i_0_24 ).

cnf(c_0_42,plain,
    ( addition(one,multiplication(addition(esk1_0,c(esk1_0)),addition(esk2_0,c(esk2_0)))) != one
    | ~ leq(one,multiplication(addition(esk1_0,c(esk1_0)),addition(esk2_0,c(esk2_0)))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_43,plain,
    ( addition(X1,X2) = one
    | c(X2) != X1
    | ~ test(X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,plain,
    ( addition(one,multiplication(addition(esk1_0,c(esk1_0)),addition(esk2_0,c(esk2_0)))) != multiplication(addition(esk1_0,c(esk1_0)),addition(esk2_0,c(esk2_0)))
    | addition(one,multiplication(addition(esk1_0,c(esk1_0)),addition(esk2_0,c(esk2_0)))) != one ),
    inference(spm,[status(thm)],[c_0_42,c_0_38]) ).

cnf(c_0_45,plain,
    ( addition(X1,c(X1)) = one
    | ~ test(X1) ),
    inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_43]),c_0_39]) ).

cnf(c_0_46,plain,
    multiplication(X1,one) = X1,
    i_0_12 ).

cnf(c_0_47,negated_conjecture,
    test(esk2_0),
    i_0_7 ).

cnf(c_0_48,plain,
    ( addition(one,addition(esk1_0,c(esk1_0))) != addition(esk1_0,c(esk1_0))
    | addition(one,addition(esk1_0,c(esk1_0))) != one ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46]),c_0_46]),c_0_46]),c_0_47])]) ).

cnf(c_0_49,plain,
    addition(X1,X1) = X1,
    i_0_3 ).

cnf(c_0_50,negated_conjecture,
    test(esk1_0),
    i_0_6 ).

cnf(c_0_51,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_45]),c_0_49]),c_0_50])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.07  % Problem  : KLE007+4 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.08  % Command  : enigmatic-eprover.py %s %d 1
% 0.06/0.26  % Computer : n032.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 600
% 0.06/0.26  % DateTime : Thu Jun 16 13:05:01 EDT 2022
% 0.06/0.26  % CPUTime  : 
% 0.10/0.32  # ENIGMATIC: Selected SinE mode:
% 0.10/0.33  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.33  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.10/0.33  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.10/0.33  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.90/2.18  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.90/2.18  # Version: 2.1pre011
% 7.90/2.18  # Preprocessing time       : 0.022 s
% 7.90/2.18  
% 7.90/2.18  # Proof found!
% 7.90/2.18  # SZS status Theorem
% 7.90/2.18  # SZS output start CNFRefutation
% See solution above
% 7.90/2.18  # Proof object total steps             : 27
% 7.90/2.18  # Proof object clause steps            : 17
% 7.90/2.18  # Proof object formula steps           : 10
% 7.90/2.18  # Proof object conjectures             : 7
% 7.90/2.18  # Proof object clause conjectures      : 4
% 7.90/2.18  # Proof object formula conjectures     : 3
% 7.90/2.18  # Proof object initial clauses used    : 10
% 7.90/2.18  # Proof object initial formulas used   : 10
% 7.90/2.18  # Proof object generating inferences   : 6
% 7.90/2.18  # Proof object simplifying inferences  : 12
% 7.90/2.18  # Training examples: 0 positive, 0 negative
% 7.90/2.18  # Parsed axioms                        : 27
% 7.90/2.18  # Removed by relevancy pruning/SinE    : 0
% 7.90/2.18  # Initial clauses                      : 27
% 7.90/2.18  # Removed in clause preprocessing      : 0
% 7.90/2.18  # Initial clauses in saturation        : 27
% 7.90/2.18  # Processed clauses                    : 52
% 7.90/2.18  # ...of these trivial                  : 1
% 7.90/2.18  # ...subsumed                          : 1
% 7.90/2.18  # ...remaining for further processing  : 50
% 7.90/2.18  # Other redundant clauses eliminated   : 0
% 7.90/2.18  # Clauses deleted for lack of memory   : 0
% 7.90/2.18  # Backward-subsumed                    : 0
% 7.90/2.18  # Backward-rewritten                   : 1
% 7.90/2.18  # Generated clauses                    : 174
% 7.90/2.18  # ...of the previous two non-trivial   : 122
% 7.90/2.18  # Contextual simplify-reflections      : 2
% 7.90/2.18  # Paramodulations                      : 171
% 7.90/2.18  # Factorizations                       : 0
% 7.90/2.18  # Equation resolutions                 : 3
% 7.90/2.18  # Propositional unsat checks           : 0
% 7.90/2.18  # Propositional unsat check successes  : 0
% 7.90/2.18  # Current number of processed clauses  : 49
% 7.90/2.18  #    Positive orientable unit clauses  : 16
% 7.90/2.18  #    Positive unorientable unit clauses: 1
% 7.90/2.18  #    Negative unit clauses             : 0
% 7.90/2.18  #    Non-unit-clauses                  : 32
% 7.90/2.18  # Current number of unprocessed clauses: 96
% 7.90/2.18  # ...number of literals in the above   : 240
% 7.90/2.18  # Current number of archived formulas  : 0
% 7.90/2.18  # Current number of archived clauses   : 1
% 7.90/2.18  # Clause-clause subsumption calls (NU) : 70
% 7.90/2.18  # Rec. Clause-clause subsumption calls : 61
% 7.90/2.18  # Non-unit clause-clause subsumptions  : 3
% 7.90/2.18  # Unit Clause-clause subsumption calls : 15
% 7.90/2.18  # Rewrite failures with RHS unbound    : 0
% 7.90/2.18  # BW rewrite match attempts            : 18
% 7.90/2.18  # BW rewrite match successes           : 11
% 7.90/2.18  # Condensation attempts                : 0
% 7.90/2.18  # Condensation successes               : 0
% 7.90/2.18  # Termbank termtop insertions          : 2173
% 7.90/2.18  
% 7.90/2.18  # -------------------------------------------------
% 7.90/2.18  # User time                : 0.020 s
% 7.90/2.18  # System time              : 0.004 s
% 7.90/2.18  # Total time               : 0.024 s
% 7.90/2.18  # ...preprocessing         : 0.022 s
% 7.90/2.18  # ...main loop             : 0.002 s
% 7.90/2.18  # Maximum resident set size: 7124 pages
% 7.90/2.18  
%------------------------------------------------------------------------------