TSTP Solution File: KLE138+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE138+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n012.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 01:50:29 EDT 2022

% Result   : Theorem 7.34s 2.21s
% Output   : CNFRefutation 7.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   3 RR)
%            Number of literals    :   12 (  11 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   11 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
    addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-doqsjs4x/input.p',i_0_9) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-doqsjs4x/input.p',i_0_2) ).

cnf(i_0_11,plain,
    multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-doqsjs4x/input.p',i_0_11) ).

cnf(i_0_3,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-doqsjs4x/input.p',i_0_3) ).

cnf(i_0_6,negated_conjecture,
    strong_iteration(zero) != one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-doqsjs4x/input.p',i_0_6) ).

cnf(c_0_17,plain,
    addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
    i_0_9 ).

cnf(c_0_18,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_19,plain,
    addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
    inference(rw,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_20,plain,
    multiplication(zero,X1) = zero,
    i_0_11 ).

cnf(c_0_21,plain,
    addition(X1,zero) = X1,
    i_0_3 ).

cnf(c_0_22,negated_conjecture,
    strong_iteration(zero) != one,
    i_0_6 ).

cnf(c_0_23,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : KLE138+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.32  % Computer : n012.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jun 16 12:48:41 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.34/2.21  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.34/2.21  # Version: 2.1pre011
% 7.34/2.21  # Preprocessing time       : 0.009 s
% 7.34/2.21  
% 7.34/2.21  # Proof found!
% 7.34/2.21  # SZS status Theorem
% 7.34/2.21  # SZS output start CNFRefutation
% See solution above
% 7.34/2.21  # Proof object total steps             : 12
% 7.34/2.21  # Proof object clause steps            : 7
% 7.34/2.21  # Proof object formula steps           : 5
% 7.34/2.21  # Proof object conjectures             : 2
% 7.34/2.21  # Proof object clause conjectures      : 1
% 7.34/2.21  # Proof object formula conjectures     : 1
% 7.34/2.21  # Proof object initial clauses used    : 5
% 7.34/2.21  # Proof object initial formulas used   : 5
% 7.34/2.21  # Proof object generating inferences   : 1
% 7.34/2.21  # Proof object simplifying inferences  : 3
% 7.34/2.21  # Training examples: 0 positive, 0 negative
% 7.34/2.21  # Parsed axioms                        : 20
% 7.34/2.21  # Removed by relevancy pruning/SinE    : 0
% 7.34/2.21  # Initial clauses                      : 20
% 7.34/2.21  # Removed in clause preprocessing      : 0
% 7.34/2.21  # Initial clauses in saturation        : 20
% 7.34/2.21  # Processed clauses                    : 10
% 7.34/2.21  # ...of these trivial                  : 0
% 7.34/2.21  # ...subsumed                          : 0
% 7.34/2.21  # ...remaining for further processing  : 10
% 7.34/2.21  # Other redundant clauses eliminated   : 0
% 7.34/2.21  # Clauses deleted for lack of memory   : 0
% 7.34/2.21  # Backward-subsumed                    : 0
% 7.34/2.21  # Backward-rewritten                   : 0
% 7.34/2.21  # Generated clauses                    : 7
% 7.34/2.21  # ...of the previous two non-trivial   : 3
% 7.34/2.21  # Contextual simplify-reflections      : 0
% 7.34/2.21  # Paramodulations                      : 7
% 7.34/2.21  # Factorizations                       : 0
% 7.34/2.21  # Equation resolutions                 : 0
% 7.34/2.21  # Propositional unsat checks           : 0
% 7.34/2.21  # Propositional unsat check successes  : 0
% 7.34/2.21  # Current number of processed clauses  : 10
% 7.34/2.21  #    Positive orientable unit clauses  : 6
% 7.34/2.21  #    Positive unorientable unit clauses: 1
% 7.34/2.21  #    Negative unit clauses             : 1
% 7.34/2.21  #    Non-unit-clauses                  : 2
% 7.34/2.21  # Current number of unprocessed clauses: 12
% 7.34/2.21  # ...number of literals in the above   : 15
% 7.34/2.21  # Current number of archived formulas  : 0
% 7.34/2.21  # Current number of archived clauses   : 0
% 7.34/2.21  # Clause-clause subsumption calls (NU) : 0
% 7.34/2.21  # Rec. Clause-clause subsumption calls : 0
% 7.34/2.21  # Non-unit clause-clause subsumptions  : 0
% 7.34/2.21  # Unit Clause-clause subsumption calls : 1
% 7.34/2.21  # Rewrite failures with RHS unbound    : 0
% 7.34/2.21  # BW rewrite match attempts            : 8
% 7.34/2.21  # BW rewrite match successes           : 6
% 7.34/2.21  # Condensation attempts                : 0
% 7.34/2.21  # Condensation successes               : 0
% 7.34/2.21  # Termbank termtop insertions          : 276
% 7.34/2.21  
% 7.34/2.21  # -------------------------------------------------
% 7.34/2.21  # User time                : 0.007 s
% 7.34/2.21  # System time              : 0.003 s
% 7.34/2.21  # Total time               : 0.010 s
% 7.34/2.21  # ...preprocessing         : 0.009 s
% 7.34/2.21  # ...main loop             : 0.000 s
% 7.34/2.21  # Maximum resident set size: 7128 pages
% 7.34/2.21  
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