TSTP Solution File: KLE022+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE022+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 01:49:38 EDT 2022

% Result   : Theorem 7.21s 2.16s
% Output   : CNFRefutation 7.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   18 (  12 unt;   0 nHn;  12 RR)
%            Number of literals    :   26 (  14 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 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   :   22 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_23,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mr67lclx/input.p',i_0_23) ).

cnf(i_0_5,negated_conjecture,
    addition(multiplication(esk1_0,esk2_0),multiplication(esk1_0,c(esk2_0))) != esk1_0,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mr67lclx/input.p',i_0_5) ).

cnf(i_0_15,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mr67lclx/input.p',i_0_15) ).

cnf(i_0_19,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mr67lclx/input.p',i_0_19) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mr67lclx/input.p',i_0_2) ).

cnf(i_0_11,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mr67lclx/input.p',i_0_11) ).

cnf(i_0_6,negated_conjecture,
    test(esk2_0),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-mr67lclx/input.p',i_0_6) ).

cnf(c_0_31,plain,
    ( complement(X1,X2)
    | c(X1) != X2
    | ~ test(X1) ),
    i_0_23 ).

cnf(c_0_32,negated_conjecture,
    addition(multiplication(esk1_0,esk2_0),multiplication(esk1_0,c(esk2_0))) != esk1_0,
    i_0_5 ).

cnf(c_0_33,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    i_0_15 ).

cnf(c_0_34,plain,
    ( addition(X1,X2) = one
    | ~ complement(X2,X1) ),
    i_0_19 ).

cnf(c_0_35,plain,
    ( complement(X1,c(X1))
    | ~ test(X1) ),
    inference(er,[status(thm)],[c_0_31]) ).

cnf(c_0_36,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_37,negated_conjecture,
    multiplication(esk1_0,addition(esk2_0,c(esk2_0))) != esk1_0,
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_38,plain,
    ( addition(X1,c(X1)) = one
    | ~ test(X1) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).

cnf(c_0_39,plain,
    multiplication(X1,one) = X1,
    i_0_11 ).

cnf(c_0_40,negated_conjecture,
    test(esk2_0),
    i_0_6 ).

cnf(c_0_41,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]),c_0_40])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : KLE022+1 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.10  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 600
% 0.09/0.29  % DateTime : Thu Jun 16 16:17:01 EDT 2022
% 0.09/0.29  % CPUTime  : 
% 0.14/0.35  # ENIGMATIC: Selected SinE mode:
% 0.14/0.36  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.14/0.36  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.14/0.36  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.21/2.16  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.21/2.16  # Version: 2.1pre011
% 7.21/2.16  # Preprocessing time       : 0.010 s
% 7.21/2.16  
% 7.21/2.16  # Proof found!
% 7.21/2.16  # SZS status Theorem
% 7.21/2.16  # SZS output start CNFRefutation
% See solution above
% 7.21/2.16  # Proof object total steps             : 18
% 7.21/2.16  # Proof object clause steps            : 11
% 7.21/2.16  # Proof object formula steps           : 7
% 7.21/2.16  # Proof object conjectures             : 6
% 7.21/2.16  # Proof object clause conjectures      : 4
% 7.21/2.16  # Proof object formula conjectures     : 2
% 7.21/2.16  # Proof object initial clauses used    : 7
% 7.21/2.16  # Proof object initial formulas used   : 7
% 7.21/2.16  # Proof object generating inferences   : 3
% 7.21/2.16  # Proof object simplifying inferences  : 5
% 7.21/2.16  # Training examples: 0 positive, 0 negative
% 7.21/2.16  # Parsed axioms                        : 24
% 7.21/2.16  # Removed by relevancy pruning/SinE    : 0
% 7.21/2.16  # Initial clauses                      : 24
% 7.21/2.16  # Removed in clause preprocessing      : 0
% 7.21/2.16  # Initial clauses in saturation        : 24
% 7.21/2.16  # Processed clauses                    : 144
% 7.21/2.16  # ...of these trivial                  : 17
% 7.21/2.16  # ...subsumed                          : 37
% 7.21/2.16  # ...remaining for further processing  : 90
% 7.21/2.16  # Other redundant clauses eliminated   : 2
% 7.21/2.16  # Clauses deleted for lack of memory   : 0
% 7.21/2.16  # Backward-subsumed                    : 2
% 7.21/2.16  # Backward-rewritten                   : 9
% 7.21/2.16  # Generated clauses                    : 950
% 7.21/2.16  # ...of the previous two non-trivial   : 619
% 7.21/2.16  # Contextual simplify-reflections      : 13
% 7.21/2.16  # Paramodulations                      : 945
% 7.21/2.16  # Factorizations                       : 0
% 7.21/2.16  # Equation resolutions                 : 5
% 7.21/2.16  # Propositional unsat checks           : 0
% 7.21/2.16  # Propositional unsat check successes  : 0
% 7.21/2.16  # Current number of processed clauses  : 79
% 7.21/2.16  #    Positive orientable unit clauses  : 32
% 7.21/2.16  #    Positive unorientable unit clauses: 3
% 7.21/2.16  #    Negative unit clauses             : 2
% 7.21/2.16  #    Non-unit-clauses                  : 42
% 7.21/2.16  # Current number of unprocessed clauses: 488
% 7.21/2.16  # ...number of literals in the above   : 1020
% 7.21/2.16  # Current number of archived formulas  : 0
% 7.21/2.16  # Current number of archived clauses   : 11
% 7.21/2.16  # Clause-clause subsumption calls (NU) : 197
% 7.21/2.16  # Rec. Clause-clause subsumption calls : 153
% 7.21/2.16  # Non-unit clause-clause subsumptions  : 25
% 7.21/2.16  # Unit Clause-clause subsumption calls : 19
% 7.21/2.16  # Rewrite failures with RHS unbound    : 0
% 7.21/2.16  # BW rewrite match attempts            : 55
% 7.21/2.16  # BW rewrite match successes           : 43
% 7.21/2.16  # Condensation attempts                : 0
% 7.21/2.16  # Condensation successes               : 0
% 7.21/2.16  # Termbank termtop insertions          : 9040
% 7.21/2.16  
% 7.21/2.16  # -------------------------------------------------
% 7.21/2.16  # User time                : 0.015 s
% 7.21/2.16  # System time              : 0.003 s
% 7.21/2.16  # Total time               : 0.018 s
% 7.21/2.16  # ...preprocessing         : 0.010 s
% 7.21/2.16  # ...main loop             : 0.008 s
% 7.21/2.16  # Maximum resident set size: 7136 pages
% 7.21/2.16  
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