TSTP Solution File: KLE148+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE148+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 01:50:35 EDT 2022

% Result   : Theorem 4.41s 2.13s
% Output   : CNFRefutation 4.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   22 (  22 unt;   0 nHn;   5 RR)
%            Number of literals    :   22 (  21 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    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   28 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_13,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-viuvo_s3/input.p',i_0_13) ).

cnf(i_0_7,negated_conjecture,
    multiplication(esk1_0,esk2_0) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-viuvo_s3/input.p',i_0_7) ).

cnf(i_0_12,plain,
    multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-viuvo_s3/input.p',i_0_12) ).

cnf(i_0_4,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-viuvo_s3/input.p',i_0_4) ).

cnf(i_0_3,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-viuvo_s3/input.p',i_0_3) ).

cnf(i_0_10,plain,
    addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-viuvo_s3/input.p',i_0_10) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-viuvo_s3/input.p',i_0_2) ).

cnf(i_0_15,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-viuvo_s3/input.p',i_0_15) ).

cnf(i_0_6,negated_conjecture,
    multiplication(esk1_0,strong_iteration(esk2_0)) != esk1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-viuvo_s3/input.p',i_0_6) ).

cnf(c_0_25,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    i_0_13 ).

cnf(c_0_26,negated_conjecture,
    multiplication(esk1_0,esk2_0) = zero,
    i_0_7 ).

cnf(c_0_27,plain,
    multiplication(zero,X1) = zero,
    i_0_12 ).

cnf(c_0_28,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    i_0_4 ).

cnf(c_0_29,negated_conjecture,
    multiplication(esk1_0,multiplication(esk2_0,X1)) = zero,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_30,plain,
    addition(X1,zero) = X1,
    i_0_3 ).

cnf(c_0_31,plain,
    addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
    i_0_10 ).

cnf(c_0_32,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_33,plain,
    multiplication(esk1_0,addition(X1,multiplication(esk2_0,X2))) = multiplication(esk1_0,X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_34,plain,
    addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
    inference(rw,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_35,plain,
    multiplication(X1,one) = X1,
    i_0_15 ).

cnf(c_0_36,negated_conjecture,
    multiplication(esk1_0,strong_iteration(esk2_0)) != esk1_0,
    i_0_6 ).

cnf(c_0_37,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_36]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KLE148+1 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.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 : Thu Jun 16 16:26:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 4.41/2.13  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 4.41/2.13  # Version: 2.1pre011
% 4.41/2.13  # Preprocessing time       : 0.009 s
% 4.41/2.13  
% 4.41/2.13  # Proof found!
% 4.41/2.13  # SZS status Theorem
% 4.41/2.13  # SZS output start CNFRefutation
% See solution above
% 4.41/2.13  # Proof object total steps             : 22
% 4.41/2.13  # Proof object clause steps            : 13
% 4.41/2.13  # Proof object formula steps           : 9
% 4.41/2.13  # Proof object conjectures             : 5
% 4.41/2.13  # Proof object clause conjectures      : 3
% 4.41/2.13  # Proof object formula conjectures     : 2
% 4.41/2.13  # Proof object initial clauses used    : 9
% 4.41/2.13  # Proof object initial formulas used   : 9
% 4.41/2.13  # Proof object generating inferences   : 3
% 4.41/2.13  # Proof object simplifying inferences  : 5
% 4.41/2.13  # Training examples: 0 positive, 0 negative
% 4.41/2.13  # Parsed axioms                        : 21
% 4.41/2.13  # Removed by relevancy pruning/SinE    : 0
% 4.41/2.13  # Initial clauses                      : 21
% 4.41/2.13  # Removed in clause preprocessing      : 0
% 4.41/2.13  # Initial clauses in saturation        : 21
% 4.41/2.13  # Processed clauses                    : 62
% 4.41/2.13  # ...of these trivial                  : 5
% 4.41/2.13  # ...subsumed                          : 2
% 4.41/2.13  # ...remaining for further processing  : 55
% 4.41/2.13  # Other redundant clauses eliminated   : 0
% 4.41/2.13  # Clauses deleted for lack of memory   : 0
% 4.41/2.13  # Backward-subsumed                    : 0
% 4.41/2.13  # Backward-rewritten                   : 6
% 4.41/2.13  # Generated clauses                    : 482
% 4.41/2.13  # ...of the previous two non-trivial   : 359
% 4.41/2.13  # Contextual simplify-reflections      : 0
% 4.41/2.13  # Paramodulations                      : 482
% 4.41/2.13  # Factorizations                       : 0
% 4.41/2.13  # Equation resolutions                 : 0
% 4.41/2.13  # Propositional unsat checks           : 0
% 4.41/2.13  # Propositional unsat check successes  : 0
% 4.41/2.13  # Current number of processed clauses  : 49
% 4.41/2.13  #    Positive orientable unit clauses  : 35
% 4.41/2.13  #    Positive unorientable unit clauses: 2
% 4.41/2.13  #    Negative unit clauses             : 1
% 4.41/2.13  #    Non-unit-clauses                  : 11
% 4.41/2.13  # Current number of unprocessed clauses: 272
% 4.41/2.13  # ...number of literals in the above   : 367
% 4.41/2.13  # Current number of archived formulas  : 0
% 4.41/2.13  # Current number of archived clauses   : 6
% 4.41/2.13  # Clause-clause subsumption calls (NU) : 15
% 4.41/2.13  # Rec. Clause-clause subsumption calls : 15
% 4.41/2.13  # Non-unit clause-clause subsumptions  : 1
% 4.41/2.13  # Unit Clause-clause subsumption calls : 3
% 4.41/2.13  # Rewrite failures with RHS unbound    : 0
% 4.41/2.13  # BW rewrite match attempts            : 23
% 4.41/2.13  # BW rewrite match successes           : 18
% 4.41/2.13  # Condensation attempts                : 0
% 4.41/2.13  # Condensation successes               : 0
% 4.41/2.13  # Termbank termtop insertions          : 5183
% 4.41/2.13  
% 4.41/2.13  # -------------------------------------------------
% 4.41/2.13  # User time                : 0.012 s
% 4.41/2.13  # System time              : 0.001 s
% 4.41/2.13  # Total time               : 0.013 s
% 4.41/2.13  # ...preprocessing         : 0.009 s
% 4.41/2.13  # ...main loop             : 0.004 s
% 4.41/2.13  # Maximum resident set size: 7136 pages
% 4.41/2.13  
%------------------------------------------------------------------------------