TSTP Solution File: NUN060+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : NUN060+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 5.21s 2.35s
% Output   : CNFRefutation 5.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   20 (   9 unt;   0 nHn;  14 RR)
%            Number of literals    :   51 (   7 equ;  39 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   1 con; 0-2 aty)
%            Number of variables   :   52 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_40,negated_conjecture,
    ( X1 != X2
    | ~ r1(X3)
    | ~ r2(X3,X4)
    | ~ r2(X4,X5)
    | ~ r2(X5,X6)
    | ~ r2(X6,X7)
    | ~ r3(X8,X7,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sjnvsv82/input.p',i_0_40) ).

cnf(i_0_11,plain,
    r3(esk9_2(X1,X2),X1,esk6_2(X1,X2)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sjnvsv82/input.p',i_0_11) ).

cnf(i_0_16,plain,
    ( r2(X1,X2)
    | X2 != esk10_1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sjnvsv82/input.p',i_0_16) ).

cnf(i_0_8,plain,
    ( X1 = esk5_0
    | ~ r1(X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sjnvsv82/input.p',i_0_8) ).

cnf(i_0_26,plain,
    r1(esk13_1(X1)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-sjnvsv82/input.p',i_0_26) ).

cnf(c_0_46,negated_conjecture,
    ( X1 != X2
    | ~ r1(X3)
    | ~ r2(X3,X4)
    | ~ r2(X4,X5)
    | ~ r2(X5,X6)
    | ~ r2(X6,X7)
    | ~ r3(X8,X7,X1) ),
    i_0_40 ).

cnf(c_0_47,negated_conjecture,
    ( ~ r3(X1,X2,X3)
    | ~ r2(X4,X2)
    | ~ r2(X5,X4)
    | ~ r2(X6,X5)
    | ~ r2(X7,X6)
    | ~ r1(X7) ),
    inference(er,[status(thm)],[c_0_46]) ).

cnf(c_0_48,plain,
    r3(esk9_2(X1,X2),X1,esk6_2(X1,X2)),
    i_0_11 ).

cnf(c_0_49,plain,
    ( r2(X1,X2)
    | X2 != esk10_1(X1) ),
    i_0_16 ).

cnf(c_0_50,plain,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r2(X4,X3)
    | ~ r2(X5,X4)
    | ~ r1(X5) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_51,plain,
    r2(X1,esk10_1(X1)),
    inference(er,[status(thm)],[c_0_49]) ).

cnf(c_0_52,plain,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r2(X4,X3)
    | ~ r1(X4) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_53,plain,
    ( X1 = esk5_0
    | ~ r1(X1) ),
    i_0_8 ).

cnf(c_0_54,plain,
    r1(esk13_1(X1)),
    i_0_26 ).

cnf(c_0_55,plain,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r1(X3) ),
    inference(spm,[status(thm)],[c_0_52,c_0_51]) ).

cnf(c_0_56,plain,
    esk13_1(X1) = esk5_0,
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_57,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_51]) ).

cnf(c_0_58,plain,
    r1(esk5_0),
    inference(rw,[status(thm)],[c_0_54,c_0_56]) ).

cnf(c_0_59,plain,
    ~ r1(X1),
    inference(spm,[status(thm)],[c_0_57,c_0_51]) ).

cnf(c_0_60,plain,
    $false,
    inference(sr,[status(thm)],[c_0_58,c_0_59]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUN060+2 : TPTP v8.1.0. Released v7.3.0.
% 0.06/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  2 10:01:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 5.21/2.35  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 5.21/2.35  # Version: 2.1pre011
% 5.21/2.35  # Preprocessing time       : 0.018 s
% 5.21/2.35  
% 5.21/2.35  # Proof found!
% 5.21/2.35  # SZS status Theorem
% 5.21/2.35  # SZS output start CNFRefutation
% See solution above
% 5.21/2.35  # Proof object total steps             : 20
% 5.21/2.35  # Proof object clause steps            : 15
% 5.21/2.35  # Proof object formula steps           : 5
% 5.21/2.35  # Proof object conjectures             : 3
% 5.21/2.35  # Proof object clause conjectures      : 2
% 5.21/2.35  # Proof object formula conjectures     : 1
% 5.21/2.35  # Proof object initial clauses used    : 5
% 5.21/2.35  # Proof object initial formulas used   : 5
% 5.21/2.35  # Proof object generating inferences   : 7
% 5.21/2.35  # Proof object simplifying inferences  : 3
% 5.21/2.35  # Training examples: 0 positive, 0 negative
% 5.21/2.35  # Parsed axioms                        : 28
% 5.21/2.35  # Removed by relevancy pruning/SinE    : 0
% 5.21/2.35  # Initial clauses                      : 28
% 5.21/2.35  # Removed in clause preprocessing      : 0
% 5.21/2.35  # Initial clauses in saturation        : 28
% 5.21/2.35  # Processed clauses                    : 55
% 5.21/2.35  # ...of these trivial                  : 0
% 5.21/2.35  # ...subsumed                          : 0
% 5.21/2.35  # ...remaining for further processing  : 55
% 5.21/2.35  # Other redundant clauses eliminated   : 4
% 5.21/2.35  # Clauses deleted for lack of memory   : 0
% 5.21/2.35  # Backward-subsumed                    : 4
% 5.21/2.35  # Backward-rewritten                   : 5
% 5.21/2.35  # Generated clauses                    : 87
% 5.21/2.35  # ...of the previous two non-trivial   : 84
% 5.21/2.35  # Contextual simplify-reflections      : 0
% 5.21/2.35  # Paramodulations                      : 77
% 5.21/2.35  # Factorizations                       : 0
% 5.21/2.35  # Equation resolutions                 : 7
% 5.21/2.35  # Propositional unsat checks           : 0
% 5.21/2.35  # Propositional unsat check successes  : 0
% 5.21/2.35  # Current number of processed clauses  : 40
% 5.21/2.35  #    Positive orientable unit clauses  : 16
% 5.21/2.35  #    Positive unorientable unit clauses: 0
% 5.21/2.35  #    Negative unit clauses             : 8
% 5.21/2.35  #    Non-unit-clauses                  : 16
% 5.21/2.35  # Current number of unprocessed clauses: 29
% 5.21/2.35  # ...number of literals in the above   : 49
% 5.21/2.35  # Current number of archived formulas  : 0
% 5.21/2.35  # Current number of archived clauses   : 12
% 5.21/2.35  # Clause-clause subsumption calls (NU) : 195
% 5.21/2.35  # Rec. Clause-clause subsumption calls : 91
% 5.21/2.35  # Non-unit clause-clause subsumptions  : 4
% 5.21/2.35  # Unit Clause-clause subsumption calls : 97
% 5.21/2.35  # Rewrite failures with RHS unbound    : 0
% 5.21/2.35  # BW rewrite match attempts            : 13
% 5.21/2.35  # BW rewrite match successes           : 3
% 5.21/2.35  # Condensation attempts                : 0
% 5.21/2.35  # Condensation successes               : 0
% 5.21/2.35  # Termbank termtop insertions          : 1108
% 5.21/2.35  
% 5.21/2.35  # -------------------------------------------------
% 5.21/2.35  # User time                : 0.014 s
% 5.21/2.35  # System time              : 0.007 s
% 5.21/2.35  # Total time               : 0.021 s
% 5.21/2.35  # ...preprocessing         : 0.018 s
% 5.21/2.35  # ...main loop             : 0.002 s
% 5.21/2.35  # Maximum resident set size: 7128 pages
% 5.21/2.35  
%------------------------------------------------------------------------------