TSTP Solution File: NUN062+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUN062+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : Mon Jul 18 16:24:53 EDT 2022

% Result   : Theorem 6.90s 2.19s
% Output   : CNFRefutation 6.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   16 (   6 unt;   0 nHn;  12 RR)
%            Number of literals    :   32 (   9 equ;  20 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-2 aty)
%            Number of variables   :   36 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_41,negated_conjecture,
    ( r1(esk22_2(X1,X2))
    | X1 != X3
    | ~ r3(esk21_0,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ailbuabs/input.p',i_0_41) ).

cnf(i_0_40,negated_conjecture,
    ( esk22_2(X1,X2) = X2
    | X1 != X3
    | ~ r3(esk21_0,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ailbuabs/input.p',i_0_40) ).

cnf(i_0_39,plain,
    ( X1 != X2
    | ~ r1(X1)
    | ~ r2(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ailbuabs/input.p',i_0_39) ).

cnf(i_0_5,plain,
    r2(X1,esk3_2(X2,X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ailbuabs/input.p',i_0_5) ).

cnf(i_0_4,plain,
    r3(X1,esk3_2(X1,X2),esk1_2(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ailbuabs/input.p',i_0_4) ).

cnf(c_0_47,negated_conjecture,
    ( r1(esk22_2(X1,X2))
    | X1 != X3
    | ~ r3(esk21_0,X2,X3) ),
    i_0_41 ).

cnf(c_0_48,negated_conjecture,
    ( esk22_2(X1,X2) = X2
    | X1 != X3
    | ~ r3(esk21_0,X2,X3) ),
    i_0_40 ).

cnf(c_0_49,plain,
    ( X1 != X2
    | ~ r1(X1)
    | ~ r2(X3,X2) ),
    i_0_39 ).

cnf(c_0_50,negated_conjecture,
    ( r1(esk22_2(X1,X2))
    | ~ r3(esk21_0,X2,X1) ),
    inference(er,[status(thm)],[c_0_47]) ).

cnf(c_0_51,negated_conjecture,
    ( esk22_2(X1,X2) = X2
    | ~ r3(esk21_0,X2,X1) ),
    inference(er,[status(thm)],[c_0_48]) ).

cnf(c_0_52,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X2) ),
    inference(er,[status(thm)],[c_0_49]) ).

cnf(c_0_53,plain,
    r2(X1,esk3_2(X2,X1)),
    i_0_5 ).

cnf(c_0_54,negated_conjecture,
    ( r1(X1)
    | ~ r3(esk21_0,X1,X2) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_55,plain,
    r3(X1,esk3_2(X1,X2),esk1_2(X1,X2)),
    i_0_4 ).

cnf(c_0_56,plain,
    ~ r1(esk3_2(X1,X2)),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_57,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : NUN062+2 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n020.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  2 02:41:10 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.90/2.19  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 6.90/2.19  # Version: 2.1pre011
% 6.90/2.19  # Preprocessing time       : 0.010 s
% 6.90/2.19  
% 6.90/2.19  # Proof found!
% 6.90/2.19  # SZS status Theorem
% 6.90/2.19  # SZS output start CNFRefutation
% See solution above
% 6.90/2.19  # Proof object total steps             : 16
% 6.90/2.19  # Proof object clause steps            : 11
% 6.90/2.19  # Proof object formula steps           : 5
% 6.90/2.19  # Proof object conjectures             : 7
% 6.90/2.19  # Proof object clause conjectures      : 5
% 6.90/2.19  # Proof object formula conjectures     : 2
% 6.90/2.19  # Proof object initial clauses used    : 5
% 6.90/2.19  # Proof object initial formulas used   : 5
% 6.90/2.19  # Proof object generating inferences   : 3
% 6.90/2.19  # Proof object simplifying inferences  : 4
% 6.90/2.19  # Training examples: 0 positive, 0 negative
% 6.90/2.19  # Parsed axioms                        : 29
% 6.90/2.19  # Removed by relevancy pruning/SinE    : 0
% 6.90/2.19  # Initial clauses                      : 29
% 6.90/2.19  # Removed in clause preprocessing      : 0
% 6.90/2.19  # Initial clauses in saturation        : 29
% 6.90/2.19  # Processed clauses                    : 61
% 6.90/2.19  # ...of these trivial                  : 0
% 6.90/2.19  # ...subsumed                          : 1
% 6.90/2.19  # ...remaining for further processing  : 60
% 6.90/2.19  # Other redundant clauses eliminated   : 5
% 6.90/2.19  # Clauses deleted for lack of memory   : 0
% 6.90/2.19  # Backward-subsumed                    : 0
% 6.90/2.19  # Backward-rewritten                   : 5
% 6.90/2.19  # Generated clauses                    : 72
% 6.90/2.19  # ...of the previous two non-trivial   : 65
% 6.90/2.19  # Contextual simplify-reflections      : 1
% 6.90/2.19  # Paramodulations                      : 64
% 6.90/2.19  # Factorizations                       : 0
% 6.90/2.19  # Equation resolutions                 : 8
% 6.90/2.19  # Propositional unsat checks           : 0
% 6.90/2.19  # Propositional unsat check successes  : 0
% 6.90/2.19  # Current number of processed clauses  : 51
% 6.90/2.19  #    Positive orientable unit clauses  : 18
% 6.90/2.19  #    Positive unorientable unit clauses: 0
% 6.90/2.19  #    Negative unit clauses             : 8
% 6.90/2.19  #    Non-unit-clauses                  : 25
% 6.90/2.19  # Current number of unprocessed clauses: 31
% 6.90/2.19  # ...number of literals in the above   : 66
% 6.90/2.19  # Current number of archived formulas  : 0
% 6.90/2.19  # Current number of archived clauses   : 5
% 6.90/2.19  # Clause-clause subsumption calls (NU) : 101
% 6.90/2.19  # Rec. Clause-clause subsumption calls : 97
% 6.90/2.19  # Non-unit clause-clause subsumptions  : 2
% 6.90/2.19  # Unit Clause-clause subsumption calls : 118
% 6.90/2.19  # Rewrite failures with RHS unbound    : 0
% 6.90/2.19  # BW rewrite match attempts            : 13
% 6.90/2.19  # BW rewrite match successes           : 3
% 6.90/2.19  # Condensation attempts                : 0
% 6.90/2.19  # Condensation successes               : 0
% 6.90/2.19  # Termbank termtop insertions          : 936
% 6.90/2.19  
% 6.90/2.19  # -------------------------------------------------
% 6.90/2.19  # User time                : 0.009 s
% 6.90/2.19  # System time              : 0.003 s
% 6.90/2.19  # Total time               : 0.012 s
% 6.90/2.19  # ...preprocessing         : 0.010 s
% 6.90/2.19  # ...main loop             : 0.001 s
% 6.90/2.19  # Maximum resident set size: 7132 pages
% 6.90/2.19  
%------------------------------------------------------------------------------