TSTP Solution File: KLE005+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE005+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n017.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 01:49:28 EDT 2022

% Result   : Theorem 7.66s 2.41s
% Output   : CNFRefutation 7.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   20 (  12 unt;   2 nHn;   9 RR)
%            Number of literals    :   37 (  27 equ;  17 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   24 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_21,plain,
    ( c(X1) = X2
    | ~ test(X1)
    | ~ complement(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y2smsx4a/input.p',i_0_21) ).

cnf(i_0_17,plain,
    ( complement(X1,X2)
    | addition(X2,X1) != one
    | multiplication(X1,X2) != zero
    | multiplication(X2,X1) != zero ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y2smsx4a/input.p',i_0_17) ).

cnf(i_0_4,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y2smsx4a/input.p',i_0_4) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y2smsx4a/input.p',i_0_2) ).

cnf(i_0_6,plain,
    multiplication(zero,X1) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y2smsx4a/input.p',i_0_6) ).

cnf(i_0_13,plain,
    multiplication(X1,zero) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y2smsx4a/input.p',i_0_13) ).

cnf(i_0_23,plain,
    ( c(X1) = zero
    | test(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y2smsx4a/input.p',i_0_23) ).

cnf(i_0_5,negated_conjecture,
    c(one) != zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-y2smsx4a/input.p',i_0_5) ).

cnf(c_0_32,plain,
    ( c(X1) = X2
    | ~ test(X1)
    | ~ complement(X1,X2) ),
    i_0_21 ).

cnf(c_0_33,plain,
    ( complement(X1,X2)
    | addition(X2,X1) != one
    | multiplication(X1,X2) != zero
    | multiplication(X2,X1) != zero ),
    i_0_17 ).

cnf(c_0_34,plain,
    addition(X1,zero) = X1,
    i_0_4 ).

cnf(c_0_35,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_36,plain,
    ( c(X1) = X2
    | multiplication(X2,X1) != zero
    | multiplication(X1,X2) != zero
    | addition(X2,X1) != one
    | ~ test(X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    multiplication(zero,X1) = zero,
    i_0_6 ).

cnf(c_0_39,plain,
    multiplication(X1,zero) = zero,
    i_0_13 ).

cnf(c_0_40,plain,
    ( c(X1) = zero
    | test(X1) ),
    i_0_23 ).

cnf(c_0_41,negated_conjecture,
    c(one) != zero,
    i_0_5 ).

cnf(c_0_42,plain,
    ( c(X1) = zero
    | X1 != one ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),c_0_39])]),c_0_40]) ).

cnf(c_0_43,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_41,c_0_42]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : KLE005+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.36  % Computer : n017.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Thu Jun 16 07:46:12 EDT 2022
% 0.14/0.36  % 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
% 7.66/2.41  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.66/2.41  # Version: 2.1pre011
% 7.66/2.41  # Preprocessing time       : 0.017 s
% 7.66/2.41  
% 7.66/2.41  # Proof found!
% 7.66/2.41  # SZS status Theorem
% 7.66/2.41  # SZS output start CNFRefutation
% See solution above
% 7.66/2.41  # Proof object total steps             : 20
% 7.66/2.41  # Proof object clause steps            : 12
% 7.66/2.41  # Proof object formula steps           : 8
% 7.66/2.41  # Proof object conjectures             : 3
% 7.66/2.41  # Proof object clause conjectures      : 2
% 7.66/2.41  # Proof object formula conjectures     : 1
% 7.66/2.41  # Proof object initial clauses used    : 8
% 7.66/2.41  # Proof object initial formulas used   : 8
% 7.66/2.41  # Proof object generating inferences   : 4
% 7.66/2.41  # Proof object simplifying inferences  : 4
% 7.66/2.41  # Training examples: 0 positive, 0 negative
% 7.66/2.41  # Parsed axioms                        : 23
% 7.66/2.41  # Removed by relevancy pruning/SinE    : 0
% 7.66/2.41  # Initial clauses                      : 23
% 7.66/2.41  # Removed in clause preprocessing      : 0
% 7.66/2.41  # Initial clauses in saturation        : 23
% 7.66/2.41  # Processed clauses                    : 33
% 7.66/2.41  # ...of these trivial                  : 1
% 7.66/2.41  # ...subsumed                          : 0
% 7.66/2.41  # ...remaining for further processing  : 32
% 7.66/2.41  # Other redundant clauses eliminated   : 0
% 7.66/2.41  # Clauses deleted for lack of memory   : 0
% 7.66/2.41  # Backward-subsumed                    : 0
% 7.66/2.41  # Backward-rewritten                   : 0
% 7.66/2.41  # Generated clauses                    : 90
% 7.66/2.41  # ...of the previous two non-trivial   : 46
% 7.66/2.41  # Contextual simplify-reflections      : 1
% 7.66/2.41  # Paramodulations                      : 88
% 7.66/2.41  # Factorizations                       : 0
% 7.66/2.41  # Equation resolutions                 : 2
% 7.66/2.41  # Propositional unsat checks           : 0
% 7.66/2.41  # Propositional unsat check successes  : 0
% 7.66/2.41  # Current number of processed clauses  : 32
% 7.66/2.41  #    Positive orientable unit clauses  : 12
% 7.66/2.41  #    Positive unorientable unit clauses: 1
% 7.66/2.41  #    Negative unit clauses             : 1
% 7.66/2.41  #    Non-unit-clauses                  : 18
% 7.66/2.41  # Current number of unprocessed clauses: 36
% 7.66/2.41  # ...number of literals in the above   : 72
% 7.66/2.41  # Current number of archived formulas  : 0
% 7.66/2.41  # Current number of archived clauses   : 0
% 7.66/2.41  # Clause-clause subsumption calls (NU) : 16
% 7.66/2.41  # Rec. Clause-clause subsumption calls : 11
% 7.66/2.41  # Non-unit clause-clause subsumptions  : 1
% 7.66/2.41  # Unit Clause-clause subsumption calls : 0
% 7.66/2.41  # Rewrite failures with RHS unbound    : 0
% 7.66/2.41  # BW rewrite match attempts            : 6
% 7.66/2.41  # BW rewrite match successes           : 4
% 7.66/2.41  # Condensation attempts                : 0
% 7.66/2.41  # Condensation successes               : 0
% 7.66/2.41  # Termbank termtop insertions          : 1047
% 7.66/2.41  
% 7.66/2.41  # -------------------------------------------------
% 7.66/2.41  # User time                : 0.012 s
% 7.66/2.41  # System time              : 0.008 s
% 7.66/2.41  # Total time               : 0.019 s
% 7.66/2.41  # ...preprocessing         : 0.017 s
% 7.66/2.41  # ...main loop             : 0.002 s
% 7.66/2.41  # Maximum resident set size: 7128 pages
% 7.66/2.41  
%------------------------------------------------------------------------------