TSTP Solution File: KLE007+3 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE007+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 8.38s 2.43s
% Output   : CNFRefutation 8.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  15 unt;   0 nHn;  15 RR)
%            Number of literals    :   30 (  17 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_20,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dy6evmnm/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-dy6evmnm/input.p',i_0_24) ).

cnf(i_0_5,negated_conjecture,
    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-dy6evmnm/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-dy6evmnm/input.p',i_0_16) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dy6evmnm/input.p',i_0_2) ).

cnf(i_0_12,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dy6evmnm/input.p',i_0_12) ).

cnf(i_0_7,negated_conjecture,
    test(esk2_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dy6evmnm/input.p',i_0_7) ).

cnf(i_0_6,negated_conjecture,
    test(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-dy6evmnm/input.p',i_0_6) ).

cnf(c_0_33,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    i_0_20 ).

cnf(c_0_34,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    i_0_24 ).

cnf(c_0_35,negated_conjecture,
    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,plain,
    ( addition(X1,X2) = one
    | c(X2) != X1
    | ~ test(X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_39,negated_conjecture,
    multiplication(addition(esk1_0,c(esk1_0)),addition(esk2_0,c(esk2_0))) != one,
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_40,plain,
    ( addition(X1,c(X1)) = one
    | ~ test(X1) ),
    inference(rw,[status(thm)],[inference(er,[status(thm)],[c_0_37]),c_0_38]) ).

cnf(c_0_41,plain,
    multiplication(X1,one) = X1,
    i_0_12 ).

cnf(c_0_42,negated_conjecture,
    test(esk2_0),
    i_0_7 ).

cnf(c_0_43,negated_conjecture,
    addition(esk1_0,c(esk1_0)) != one,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]),c_0_42])]) ).

cnf(c_0_44,negated_conjecture,
    test(esk1_0),
    i_0_6 ).

cnf(c_0_45,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_40]),c_0_44])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE007+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n022.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 11:58:49 EDT 2022
% 0.20/0.34  % 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
% 8.38/2.43  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.38/2.43  # Version: 2.1pre011
% 8.38/2.43  # Preprocessing time       : 0.023 s
% 8.38/2.43  
% 8.38/2.43  # Proof found!
% 8.38/2.43  # SZS status Theorem
% 8.38/2.43  # SZS output start CNFRefutation
% See solution above
% 8.38/2.43  # Proof object total steps             : 21
% 8.38/2.43  # Proof object clause steps            : 13
% 8.38/2.43  # Proof object formula steps           : 8
% 8.38/2.43  # Proof object conjectures             : 8
% 8.38/2.43  # Proof object clause conjectures      : 5
% 8.38/2.43  # Proof object formula conjectures     : 3
% 8.38/2.43  # Proof object initial clauses used    : 8
% 8.38/2.43  # Proof object initial formulas used   : 8
% 8.38/2.43  # Proof object generating inferences   : 4
% 8.38/2.43  # Proof object simplifying inferences  : 7
% 8.38/2.43  # Training examples: 0 positive, 0 negative
% 8.38/2.43  # Parsed axioms                        : 27
% 8.38/2.43  # Removed by relevancy pruning/SinE    : 0
% 8.38/2.43  # Initial clauses                      : 27
% 8.38/2.43  # Removed in clause preprocessing      : 0
% 8.38/2.43  # Initial clauses in saturation        : 27
% 8.38/2.43  # Processed clauses                    : 40
% 8.38/2.43  # ...of these trivial                  : 1
% 8.38/2.43  # ...subsumed                          : 0
% 8.38/2.43  # ...remaining for further processing  : 39
% 8.38/2.43  # Other redundant clauses eliminated   : 0
% 8.38/2.43  # Clauses deleted for lack of memory   : 0
% 8.38/2.43  # Backward-subsumed                    : 0
% 8.38/2.43  # Backward-rewritten                   : 1
% 8.38/2.43  # Generated clauses                    : 117
% 8.38/2.43  # ...of the previous two non-trivial   : 73
% 8.38/2.43  # Contextual simplify-reflections      : 0
% 8.38/2.43  # Paramodulations                      : 115
% 8.38/2.43  # Factorizations                       : 0
% 8.38/2.43  # Equation resolutions                 : 2
% 8.38/2.43  # Propositional unsat checks           : 0
% 8.38/2.43  # Propositional unsat check successes  : 0
% 8.38/2.43  # Current number of processed clauses  : 38
% 8.38/2.43  #    Positive orientable unit clauses  : 14
% 8.38/2.43  #    Positive unorientable unit clauses: 1
% 8.38/2.43  #    Negative unit clauses             : 2
% 8.38/2.43  #    Non-unit-clauses                  : 21
% 8.38/2.43  # Current number of unprocessed clauses: 60
% 8.38/2.43  # ...number of literals in the above   : 128
% 8.38/2.43  # Current number of archived formulas  : 0
% 8.38/2.43  # Current number of archived clauses   : 1
% 8.38/2.43  # Clause-clause subsumption calls (NU) : 29
% 8.38/2.43  # Rec. Clause-clause subsumption calls : 28
% 8.38/2.43  # Non-unit clause-clause subsumptions  : 0
% 8.38/2.43  # Unit Clause-clause subsumption calls : 1
% 8.38/2.43  # Rewrite failures with RHS unbound    : 0
% 8.38/2.43  # BW rewrite match attempts            : 17
% 8.38/2.43  # BW rewrite match successes           : 11
% 8.38/2.43  # Condensation attempts                : 0
% 8.38/2.43  # Condensation successes               : 0
% 8.38/2.43  # Termbank termtop insertions          : 1414
% 8.38/2.43  
% 8.38/2.43  # -------------------------------------------------
% 8.38/2.43  # User time                : 0.019 s
% 8.38/2.43  # System time              : 0.007 s
% 8.38/2.43  # Total time               : 0.026 s
% 8.38/2.43  # ...preprocessing         : 0.023 s
% 8.38/2.43  # ...main loop             : 0.003 s
% 8.38/2.43  # Maximum resident set size: 7132 pages
% 8.38/2.43  
%------------------------------------------------------------------------------