TSTP Solution File: NUN060+1 by Enigma---0.5.1

View Problem - Process Solution

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

% Computer : n018.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 16:24:52 EDT 2022

% Result   : Theorem 8.14s 2.50s
% Output   : CNFRefutation 8.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   25 (  14 unt;   0 nHn;  13 RR)
%            Number of literals    :   56 (   0 equ;  39 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   0 con; 1-2 aty)
%            Number of variables   :   62 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_59,negated_conjecture,
    ( ~ r1(X1)
    | ~ id(X2,X3)
    | ~ r2(X1,X4)
    | ~ r2(X4,X5)
    | ~ r2(X5,X6)
    | ~ r2(X6,X7)
    | ~ r3(X8,X7,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7l3dcck_/input.p',i_0_59) ).

cnf(i_0_9,plain,
    r3(X1,X2,esk4_2(X1,X2)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7l3dcck_/input.p',i_0_9) ).

cnf(i_0_48,plain,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7l3dcck_/input.p',i_0_48) ).

cnf(i_0_34,plain,
    id(esk12_1(X1),X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7l3dcck_/input.p',i_0_34) ).

cnf(i_0_21,plain,
    r2(X1,esk8_2(X2,X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7l3dcck_/input.p',i_0_21) ).

cnf(i_0_23,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk10_1(X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7l3dcck_/input.p',i_0_23) ).

cnf(i_0_43,plain,
    id(X1,X1),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7l3dcck_/input.p',i_0_43) ).

cnf(i_0_33,plain,
    r1(esk13_1(X1)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-7l3dcck_/input.p',i_0_33) ).

cnf(c_0_68,negated_conjecture,
    ( ~ r1(X1)
    | ~ id(X2,X3)
    | ~ r2(X1,X4)
    | ~ r2(X4,X5)
    | ~ r2(X5,X6)
    | ~ r2(X6,X7)
    | ~ r3(X8,X7,X2) ),
    i_0_59 ).

cnf(c_0_69,plain,
    r3(X1,X2,esk4_2(X1,X2)),
    i_0_9 ).

cnf(c_0_70,plain,
    ( id(X1,X2)
    | ~ id(X2,X1) ),
    i_0_48 ).

cnf(c_0_71,plain,
    id(esk12_1(X1),X1),
    i_0_34 ).

cnf(c_0_72,negated_conjecture,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r2(X4,X3)
    | ~ r2(X5,X4)
    | ~ id(esk4_2(X6,X2),X7)
    | ~ r1(X5) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_73,plain,
    id(X1,esk12_1(X1)),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

cnf(c_0_74,plain,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r2(X4,X3)
    | ~ r2(X5,X4)
    | ~ r1(X5) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_75,plain,
    r2(X1,esk8_2(X2,X1)),
    i_0_21 ).

cnf(c_0_76,plain,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r2(X4,X3)
    | ~ r1(X4) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_77,plain,
    ( r2(X1,X2)
    | ~ id(X2,esk10_1(X1)) ),
    i_0_23 ).

cnf(c_0_78,plain,
    id(X1,X1),
    i_0_43 ).

cnf(c_0_79,plain,
    ( ~ r2(X1,X2)
    | ~ r2(X3,X1)
    | ~ r1(X3) ),
    inference(spm,[status(thm)],[c_0_76,c_0_75]) ).

cnf(c_0_80,plain,
    r2(X1,esk10_1(X1)),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_81,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_82,plain,
    r1(esk13_1(X1)),
    i_0_33 ).

cnf(c_0_83,plain,
    ~ r1(X1),
    inference(spm,[status(thm)],[c_0_81,c_0_80]) ).

cnf(c_0_84,plain,
    $false,
    inference(sr,[status(thm)],[c_0_82,c_0_83]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUN060+1 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n018.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 09:11:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/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
% 8.14/2.50  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y:
% 8.14/2.50  # Version: 2.1pre011
% 8.14/2.50  # Preprocessing time       : 0.017 s
% 8.14/2.50  
% 8.14/2.50  # Proof found!
% 8.14/2.50  # SZS status Theorem
% 8.14/2.50  # SZS output start CNFRefutation
% See solution above
% 8.14/2.50  # Proof object total steps             : 25
% 8.14/2.50  # Proof object clause steps            : 17
% 8.14/2.50  # Proof object formula steps           : 8
% 8.14/2.50  # Proof object conjectures             : 3
% 8.14/2.50  # Proof object clause conjectures      : 2
% 8.14/2.50  # Proof object formula conjectures     : 1
% 8.14/2.50  # Proof object initial clauses used    : 8
% 8.14/2.50  # Proof object initial formulas used   : 8
% 8.14/2.50  # Proof object generating inferences   : 8
% 8.14/2.50  # Proof object simplifying inferences  : 1
% 8.14/2.50  # Training examples: 0 positive, 0 negative
% 8.14/2.50  # Parsed axioms                        : 43
% 8.14/2.50  # Removed by relevancy pruning/SinE    : 0
% 8.14/2.50  # Initial clauses                      : 43
% 8.14/2.50  # Removed in clause preprocessing      : 0
% 8.14/2.50  # Initial clauses in saturation        : 43
% 8.14/2.50  # Processed clauses                    : 91
% 8.14/2.50  # ...of these trivial                  : 1
% 8.14/2.50  # ...subsumed                          : 5
% 8.14/2.50  # ...remaining for further processing  : 85
% 8.14/2.50  # Other redundant clauses eliminated   : 0
% 8.14/2.50  # Clauses deleted for lack of memory   : 0
% 8.14/2.50  # Backward-subsumed                    : 6
% 8.14/2.50  # Backward-rewritten                   : 0
% 8.14/2.50  # Generated clauses                    : 258
% 8.14/2.50  # ...of the previous two non-trivial   : 218
% 8.14/2.50  # Contextual simplify-reflections      : 2
% 8.14/2.50  # Paramodulations                      : 251
% 8.14/2.50  # Factorizations                       : 0
% 8.14/2.50  # Equation resolutions                 : 0
% 8.14/2.50  # Propositional unsat checks           : 0
% 8.14/2.50  # Propositional unsat check successes  : 0
% 8.14/2.50  # Current number of processed clauses  : 72
% 8.14/2.50  #    Positive orientable unit clauses  : 24
% 8.14/2.50  #    Positive unorientable unit clauses: 0
% 8.14/2.50  #    Negative unit clauses             : 10
% 8.14/2.50  #    Non-unit-clauses                  : 38
% 8.14/2.50  # Current number of unprocessed clauses: 132
% 8.14/2.50  # ...number of literals in the above   : 351
% 8.14/2.50  # Current number of archived formulas  : 0
% 8.14/2.50  # Current number of archived clauses   : 13
% 8.14/2.50  # Clause-clause subsumption calls (NU) : 379
% 8.14/2.50  # Rec. Clause-clause subsumption calls : 186
% 8.14/2.50  # Non-unit clause-clause subsumptions  : 11
% 8.14/2.50  # Unit Clause-clause subsumption calls : 279
% 8.14/2.50  # Rewrite failures with RHS unbound    : 0
% 8.14/2.50  # BW rewrite match attempts            : 8
% 8.14/2.50  # BW rewrite match successes           : 0
% 8.14/2.50  # Condensation attempts                : 0
% 8.14/2.50  # Condensation successes               : 0
% 8.14/2.50  # Termbank termtop insertions          : 3350
% 8.14/2.50  
% 8.14/2.50  # -------------------------------------------------
% 8.14/2.50  # User time                : 0.019 s
% 8.14/2.50  # System time              : 0.004 s
% 8.14/2.50  # Total time               : 0.023 s
% 8.14/2.50  # ...preprocessing         : 0.017 s
% 8.14/2.50  # ...main loop             : 0.006 s
% 8.14/2.50  # Maximum resident set size: 7132 pages
% 8.14/2.50  
%------------------------------------------------------------------------------