TSTP Solution File: KLE150+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE150+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n023.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 01:50:36 EDT 2022

% Result   : Theorem 7.88s 2.53s
% Output   : CNFRefutation 7.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   3 RR)
%            Number of literals    :   14 (  13 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_9,plain,
    addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c0ywnhap/input.p',i_0_9) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c0ywnhap/input.p',i_0_2) ).

cnf(i_0_12,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c0ywnhap/input.p',i_0_12) ).

cnf(i_0_11,plain,
    multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c0ywnhap/input.p',i_0_11) ).

cnf(i_0_6,negated_conjecture,
    addition(one,multiplication(esk1_0,zero)) != strong_iteration(multiplication(esk1_0,zero)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-c0ywnhap/input.p',i_0_6) ).

cnf(c_0_18,plain,
    addition(multiplication(X1,strong_iteration(X1)),one) = strong_iteration(X1),
    i_0_9 ).

cnf(c_0_19,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_20,plain,
    addition(one,multiplication(X1,strong_iteration(X1))) = strong_iteration(X1),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_21,plain,
    multiplication(multiplication(X1,X2),X3) = multiplication(X1,multiplication(X2,X3)),
    i_0_12 ).

cnf(c_0_22,plain,
    addition(one,multiplication(X1,multiplication(X2,strong_iteration(multiplication(X1,X2))))) = strong_iteration(multiplication(X1,X2)),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_23,plain,
    multiplication(zero,X1) = zero,
    i_0_11 ).

cnf(c_0_24,negated_conjecture,
    addition(one,multiplication(esk1_0,zero)) != strong_iteration(multiplication(esk1_0,zero)),
    i_0_6 ).

cnf(c_0_25,plain,
    strong_iteration(multiplication(X1,zero)) = addition(one,multiplication(X1,zero)),
    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
% 0.12/0.14  % Problem  : KLE150+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.16/0.36  % Computer : n023.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 600
% 0.16/0.36  % DateTime : Thu Jun 16 07:39:06 EDT 2022
% 0.16/0.36  % CPUTime  : 
% 0.22/0.48  # ENIGMATIC: Selected SinE mode:
% 0.22/0.49  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.22/0.49  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.22/0.49  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.88/2.53  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.88/2.53  # Version: 2.1pre011
% 7.88/2.53  # Preprocessing time       : 0.017 s
% 7.88/2.53  
% 7.88/2.53  # Proof found!
% 7.88/2.53  # SZS status Theorem
% 7.88/2.53  # SZS output start CNFRefutation
% See solution above
% 7.88/2.53  # Proof object total steps             : 14
% 7.88/2.53  # Proof object clause steps            : 9
% 7.88/2.53  # Proof object formula steps           : 5
% 7.88/2.53  # Proof object conjectures             : 3
% 7.88/2.53  # Proof object clause conjectures      : 2
% 7.88/2.53  # Proof object formula conjectures     : 1
% 7.88/2.53  # Proof object initial clauses used    : 5
% 7.88/2.53  # Proof object initial formulas used   : 5
% 7.88/2.53  # Proof object generating inferences   : 2
% 7.88/2.53  # Proof object simplifying inferences  : 3
% 7.88/2.53  # Training examples: 0 positive, 0 negative
% 7.88/2.53  # Parsed axioms                        : 20
% 7.88/2.53  # Removed by relevancy pruning/SinE    : 0
% 7.88/2.53  # Initial clauses                      : 20
% 7.88/2.53  # Removed in clause preprocessing      : 0
% 7.88/2.53  # Initial clauses in saturation        : 20
% 7.88/2.53  # Processed clauses                    : 73
% 7.88/2.53  # ...of these trivial                  : 9
% 7.88/2.53  # ...subsumed                          : 2
% 7.88/2.53  # ...remaining for further processing  : 62
% 7.88/2.53  # Other redundant clauses eliminated   : 0
% 7.88/2.53  # Clauses deleted for lack of memory   : 0
% 7.88/2.53  # Backward-subsumed                    : 0
% 7.88/2.53  # Backward-rewritten                   : 17
% 7.88/2.53  # Generated clauses                    : 396
% 7.88/2.53  # ...of the previous two non-trivial   : 260
% 7.88/2.53  # Contextual simplify-reflections      : 0
% 7.88/2.53  # Paramodulations                      : 396
% 7.88/2.53  # Factorizations                       : 0
% 7.88/2.53  # Equation resolutions                 : 0
% 7.88/2.53  # Propositional unsat checks           : 0
% 7.88/2.53  # Propositional unsat check successes  : 0
% 7.88/2.53  # Current number of processed clauses  : 45
% 7.88/2.53  #    Positive orientable unit clauses  : 31
% 7.88/2.53  #    Positive unorientable unit clauses: 1
% 7.88/2.53  #    Negative unit clauses             : 0
% 7.88/2.53  #    Non-unit-clauses                  : 13
% 7.88/2.53  # Current number of unprocessed clauses: 172
% 7.88/2.53  # ...number of literals in the above   : 282
% 7.88/2.53  # Current number of archived formulas  : 0
% 7.88/2.53  # Current number of archived clauses   : 17
% 7.88/2.53  # Clause-clause subsumption calls (NU) : 26
% 7.88/2.53  # Rec. Clause-clause subsumption calls : 26
% 7.88/2.53  # Non-unit clause-clause subsumptions  : 1
% 7.88/2.53  # Unit Clause-clause subsumption calls : 6
% 7.88/2.53  # Rewrite failures with RHS unbound    : 0
% 7.88/2.53  # BW rewrite match attempts            : 27
% 7.88/2.53  # BW rewrite match successes           : 16
% 7.88/2.53  # Condensation attempts                : 0
% 7.88/2.53  # Condensation successes               : 0
% 7.88/2.53  # Termbank termtop insertions          : 4280
% 7.88/2.53  
% 7.88/2.53  # -------------------------------------------------
% 7.88/2.53  # User time                : 0.019 s
% 7.88/2.53  # System time              : 0.004 s
% 7.88/2.53  # Total time               : 0.024 s
% 7.88/2.53  # ...preprocessing         : 0.017 s
% 7.88/2.53  # ...main loop             : 0.007 s
% 7.88/2.53  # Maximum resident set size: 7128 pages
% 7.88/2.53  
%------------------------------------------------------------------------------