TSTP Solution File: KLE054+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KLE054+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 01:49:54 EDT 2022

% Result   : Theorem 7.48s 2.36s
% Output   : CNFRefutation 7.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (  23 unt;   0 nHn;   5 RR)
%            Number of literals    :   23 (  22 equ;   3 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   30 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_7,plain,
    addition(domain(X1),one) = one,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lo79rwik/input.p',i_0_7) ).

cnf(i_0_2,plain,
    addition(X1,X2) = addition(X2,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lo79rwik/input.p',i_0_2) ).

cnf(i_0_5,plain,
    addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lo79rwik/input.p',i_0_5) ).

cnf(i_0_15,plain,
    multiplication(X1,one) = X1,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lo79rwik/input.p',i_0_15) ).

cnf(i_0_9,plain,
    domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lo79rwik/input.p',i_0_9) ).

cnf(i_0_10,negated_conjecture,
    addition(domain(multiplication(esk1_0,esk2_0)),domain(esk1_0)) != domain(esk1_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lo79rwik/input.p',i_0_10) ).

cnf(i_0_19,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lo79rwik/input.p',i_0_19) ).

cnf(i_0_6,plain,
    domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-lo79rwik/input.p',i_0_6) ).

cnf(c_0_28,plain,
    addition(domain(X1),one) = one,
    i_0_7 ).

cnf(c_0_29,plain,
    addition(X1,X2) = addition(X2,X1),
    i_0_2 ).

cnf(c_0_30,plain,
    addition(X1,multiplication(domain(X1),X1)) = multiplication(domain(X1),X1),
    i_0_5 ).

cnf(c_0_31,plain,
    multiplication(X1,one) = X1,
    i_0_15 ).

cnf(c_0_32,plain,
    addition(one,domain(X1)) = one,
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_33,plain,
    domain(addition(X1,X2)) = addition(domain(X1),domain(X2)),
    i_0_9 ).

cnf(c_0_34,plain,
    domain(one) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).

cnf(c_0_35,negated_conjecture,
    addition(domain(multiplication(esk1_0,esk2_0)),domain(esk1_0)) != domain(esk1_0),
    i_0_10 ).

cnf(c_0_36,plain,
    addition(multiplication(X1,X2),multiplication(X1,X3)) = multiplication(X1,addition(X2,X3)),
    i_0_19 ).

cnf(c_0_37,plain,
    domain(multiplication(X1,domain(X2))) = domain(multiplication(X1,X2)),
    i_0_6 ).

cnf(c_0_38,plain,
    domain(addition(one,X1)) = one,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_32]) ).

cnf(c_0_39,negated_conjecture,
    domain(addition(esk1_0,multiplication(esk1_0,esk2_0))) != domain(esk1_0),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_29]),c_0_33]) ).

cnf(c_0_40,plain,
    addition(X1,multiplication(X1,X2)) = multiplication(X1,addition(X2,one)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_31]),c_0_29]) ).

cnf(c_0_41,plain,
    domain(multiplication(X1,addition(one,X2))) = domain(X1),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_31]) ).

cnf(c_0_42,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40]),c_0_29]),c_0_41])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KLE054+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 11:41:21 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.19/0.46  # ENIGMATIC: Selected SinE mode:
% 0.19/0.47  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.47  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.47  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.48/2.36  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 7.48/2.36  # Version: 2.1pre011
% 7.48/2.36  # Preprocessing time       : 0.016 s
% 7.48/2.36  
% 7.48/2.36  # Proof found!
% 7.48/2.36  # SZS status Theorem
% 7.48/2.36  # SZS output start CNFRefutation
% See solution above
% 7.48/2.36  # Proof object total steps             : 23
% 7.48/2.36  # Proof object clause steps            : 15
% 7.48/2.36  # Proof object formula steps           : 8
% 7.48/2.36  # Proof object conjectures             : 4
% 7.48/2.36  # Proof object clause conjectures      : 3
% 7.48/2.36  # Proof object formula conjectures     : 1
% 7.48/2.36  # Proof object initial clauses used    : 8
% 7.48/2.36  # Proof object initial formulas used   : 8
% 7.48/2.36  # Proof object generating inferences   : 4
% 7.48/2.36  # Proof object simplifying inferences  : 11
% 7.48/2.36  # Training examples: 0 positive, 0 negative
% 7.48/2.36  # Parsed axioms                        : 19
% 7.48/2.36  # Removed by relevancy pruning/SinE    : 0
% 7.48/2.36  # Initial clauses                      : 19
% 7.48/2.36  # Removed in clause preprocessing      : 0
% 7.48/2.36  # Initial clauses in saturation        : 19
% 7.48/2.36  # Processed clauses                    : 78
% 7.48/2.36  # ...of these trivial                  : 19
% 7.48/2.36  # ...subsumed                          : 14
% 7.48/2.36  # ...remaining for further processing  : 45
% 7.48/2.36  # Other redundant clauses eliminated   : 0
% 7.48/2.36  # Clauses deleted for lack of memory   : 0
% 7.48/2.36  # Backward-subsumed                    : 0
% 7.48/2.36  # Backward-rewritten                   : 3
% 7.48/2.36  # Generated clauses                    : 818
% 7.48/2.36  # ...of the previous two non-trivial   : 448
% 7.48/2.36  # Contextual simplify-reflections      : 0
% 7.48/2.36  # Paramodulations                      : 818
% 7.48/2.36  # Factorizations                       : 0
% 7.48/2.36  # Equation resolutions                 : 0
% 7.48/2.36  # Propositional unsat checks           : 0
% 7.48/2.36  # Propositional unsat check successes  : 0
% 7.48/2.36  # Current number of processed clauses  : 42
% 7.48/2.36  #    Positive orientable unit clauses  : 37
% 7.48/2.36  #    Positive unorientable unit clauses: 3
% 7.48/2.36  #    Negative unit clauses             : 0
% 7.48/2.36  #    Non-unit-clauses                  : 2
% 7.48/2.36  # Current number of unprocessed clauses: 383
% 7.48/2.36  # ...number of literals in the above   : 383
% 7.48/2.36  # Current number of archived formulas  : 0
% 7.48/2.36  # Current number of archived clauses   : 3
% 7.48/2.36  # Clause-clause subsumption calls (NU) : 0
% 7.48/2.36  # Rec. Clause-clause subsumption calls : 0
% 7.48/2.36  # Non-unit clause-clause subsumptions  : 0
% 7.48/2.36  # Unit Clause-clause subsumption calls : 6
% 7.48/2.36  # Rewrite failures with RHS unbound    : 0
% 7.48/2.36  # BW rewrite match attempts            : 57
% 7.48/2.36  # BW rewrite match successes           : 38
% 7.48/2.36  # Condensation attempts                : 0
% 7.48/2.36  # Condensation successes               : 0
% 7.48/2.36  # Termbank termtop insertions          : 7682
% 7.48/2.36  
% 7.48/2.36  # -------------------------------------------------
% 7.48/2.36  # User time                : 0.016 s
% 7.48/2.36  # System time              : 0.007 s
% 7.48/2.36  # Total time               : 0.023 s
% 7.48/2.36  # ...preprocessing         : 0.016 s
% 7.48/2.36  # ...main loop             : 0.008 s
% 7.48/2.36  # Maximum resident set size: 7128 pages
% 7.48/2.36  
%------------------------------------------------------------------------------