TSTP Solution File: KLE131+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE131+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 01:50:27 EDT 2022

% Result   : Theorem 8.16s 2.52s
% Output   : CNFRefutation 8.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   24 (  24 unt;   0 nHn;   5 RR)
%            Number of literals    :   24 (  23 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   16 (   4 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_16,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qcd15_21/input.p',i_0_16) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qcd15_21/input.p',i_0_2) ).

cnf(i_0_27,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qcd15_21/input.p',i_0_27) ).

cnf(i_0_14,plain,
    multiplication(antidomain(X1),X1) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qcd15_21/input.p',i_0_14) ).

cnf(i_0_4,plain,
    addition(X1,zero) = X1,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qcd15_21/input.p',i_0_4) ).

cnf(i_0_22,negated_conjecture,
    addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qcd15_21/input.p',i_0_22) ).

cnf(i_0_12,plain,
    antidomain(antidomain(multiplication(X1,antidomain(antidomain(divergence(X1)))))) = divergence(X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qcd15_21/input.p',i_0_12) ).

cnf(i_0_30,plain,
    multiplication(X1,zero) = zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qcd15_21/input.p',i_0_30) ).

cnf(i_0_21,negated_conjecture,
    divergence(esk1_0) != zero,
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-qcd15_21/input.p',i_0_21) ).

cnf(c_0_40,plain,
    addition(antidomain(antidomain(X1)),antidomain(X1)) = one,
    i_0_16 ).

cnf(c_0_41,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_42,plain,
    multiplication(X1,one) = X1,
    i_0_27 ).

cnf(c_0_43,plain,
    multiplication(antidomain(X1),X1) = zero,
    i_0_14 ).

cnf(c_0_44,plain,
    addition(X1,zero) = X1,
    i_0_4 ).

cnf(c_0_45,negated_conjecture,
    addition(antidomain(antidomain(X1)),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1))))))))))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(antidomain(antidomain(X1)))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(antidomain(antidomain(X1)))))))))))))),
    i_0_22 ).

cnf(c_0_46,plain,
    antidomain(antidomain(multiplication(X1,antidomain(antidomain(divergence(X1)))))) = divergence(X1),
    i_0_12 ).

cnf(c_0_47,plain,
    addition(antidomain(X1),antidomain(antidomain(X1))) = one,
    inference(rw,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_48,plain,
    antidomain(one) = zero,
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_49,plain,
    addition(zero,X1) = X1,
    inference(spm,[status(thm)],[c_0_44,c_0_41]) ).

cnf(c_0_50,plain,
    addition(divergence(X1),antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X1))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(divergence(X1)))))))))))))) = antidomain(antidomain(multiplication(star(esk1_0),antidomain(antidomain(multiplication(antidomain(antidomain(divergence(X1))),antidomain(antidomain(antidomain(multiplication(esk1_0,antidomain(antidomain(divergence(X1))))))))))))),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_51,plain,
    antidomain(zero) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_52,plain,
    multiplication(X1,zero) = zero,
    i_0_30 ).

cnf(c_0_53,negated_conjecture,
    divergence(esk1_0) != zero,
    i_0_21 ).

cnf(c_0_54,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_46]),c_0_43]),c_0_51]),c_0_48]),c_0_52]),c_0_51]),c_0_48]),c_0_44]),c_0_43]),c_0_51]),c_0_48]),c_0_52]),c_0_51]),c_0_48]),c_0_53]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : KLE131+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 09:38:55 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected SinE mode:
% 0.21/0.47  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.21/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.21/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.16/2.52  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.16/2.52  # Version: 2.1pre011
% 8.16/2.52  # Preprocessing time       : 0.057 s
% 8.16/2.52  
% 8.16/2.52  # Proof found!
% 8.16/2.52  # SZS status Theorem
% 8.16/2.52  # SZS output start CNFRefutation
% See solution above
% 8.16/2.52  # Proof object total steps             : 24
% 8.16/2.52  # Proof object clause steps            : 15
% 8.16/2.52  # Proof object formula steps           : 9
% 8.16/2.52  # Proof object conjectures             : 4
% 8.16/2.52  # Proof object clause conjectures      : 2
% 8.16/2.52  # Proof object formula conjectures     : 2
% 8.16/2.52  # Proof object initial clauses used    : 9
% 8.16/2.52  # Proof object initial formulas used   : 9
% 8.16/2.52  # Proof object generating inferences   : 5
% 8.16/2.52  # Proof object simplifying inferences  : 16
% 8.16/2.52  # Training examples: 0 positive, 0 negative
% 8.16/2.52  # Parsed axioms                        : 23
% 8.16/2.52  # Removed by relevancy pruning/SinE    : 0
% 8.16/2.52  # Initial clauses                      : 23
% 8.16/2.52  # Removed in clause preprocessing      : 0
% 8.16/2.52  # Initial clauses in saturation        : 23
% 8.16/2.52  # Processed clauses                    : 137
% 8.16/2.52  # ...of these trivial                  : 24
% 8.16/2.52  # ...subsumed                          : 22
% 8.16/2.52  # ...remaining for further processing  : 91
% 8.16/2.52  # Other redundant clauses eliminated   : 0
% 8.16/2.52  # Clauses deleted for lack of memory   : 0
% 8.16/2.52  # Backward-subsumed                    : 0
% 8.16/2.52  # Backward-rewritten                   : 12
% 8.16/2.52  # Generated clauses                    : 1450
% 8.16/2.52  # ...of the previous two non-trivial   : 898
% 8.16/2.52  # Contextual simplify-reflections      : 2
% 8.16/2.52  # Paramodulations                      : 1450
% 8.16/2.52  # Factorizations                       : 0
% 8.16/2.52  # Equation resolutions                 : 0
% 8.16/2.52  # Propositional unsat checks           : 0
% 8.16/2.52  # Propositional unsat check successes  : 0
% 8.16/2.52  # Current number of processed clauses  : 79
% 8.16/2.52  #    Positive orientable unit clauses  : 66
% 8.16/2.52  #    Positive unorientable unit clauses: 3
% 8.16/2.52  #    Negative unit clauses             : 1
% 8.16/2.52  #    Non-unit-clauses                  : 9
% 8.16/2.52  # Current number of unprocessed clauses: 671
% 8.16/2.52  # ...number of literals in the above   : 741
% 8.16/2.52  # Current number of archived formulas  : 0
% 8.16/2.52  # Current number of archived clauses   : 12
% 8.16/2.52  # Clause-clause subsumption calls (NU) : 14
% 8.16/2.52  # Rec. Clause-clause subsumption calls : 14
% 8.16/2.52  # Non-unit clause-clause subsumptions  : 8
% 8.16/2.52  # Unit Clause-clause subsumption calls : 19
% 8.16/2.52  # Rewrite failures with RHS unbound    : 0
% 8.16/2.52  # BW rewrite match attempts            : 105
% 8.16/2.52  # BW rewrite match successes           : 41
% 8.16/2.52  # Condensation attempts                : 0
% 8.16/2.52  # Condensation successes               : 0
% 8.16/2.52  # Termbank termtop insertions          : 25891
% 8.16/2.52  
% 8.16/2.52  # -------------------------------------------------
% 8.16/2.52  # User time                : 0.063 s
% 8.16/2.52  # System time              : 0.006 s
% 8.16/2.52  # Total time               : 0.069 s
% 8.16/2.52  # ...preprocessing         : 0.057 s
% 8.16/2.52  # ...main loop             : 0.012 s
% 8.16/2.52  # Maximum resident set size: 7136 pages
% 8.16/2.52  
%------------------------------------------------------------------------------