TSTP Solution File: CSR159+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CSR159+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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 : Fri Jul 15 02:49:52 EDT 2022

% Result   : Theorem 26.22s 6.39s
% Output   : CNFRefutation 26.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  11 unt;   0 nHn;  19 RR)
%            Number of literals    :   29 (   2 equ;  13 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   22 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_3441,plain,
    ( p__d__disjoint(X1,X2)
    | ~ p__d__disjointDecomposition3(X3,X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4h9ldl2b/input.p',i_0_3441) ).

cnf(i_0_3400,plain,
    ( p__d__disjointDecomposition3(X1,X2,X3)
    | ~ p__d__partition3(X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4h9ldl2b/input.p',i_0_3400) ).

cnf(i_0_1380,plain,
    p__d__partition3(c__Integer,c__OddInteger,c__EvenInteger),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4h9ldl2b/input.p',i_0_1380) ).

cnf(i_0_3386,plain,
    ( ~ p__d__instance(X1,X2)
    | ~ p__d__instance(X1,X3)
    | ~ p__d__disjoint(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4h9ldl2b/input.p',i_0_3386) ).

cnf(i_0_3,negated_conjecture,
    p__d__instance(esk1_0,c__EvenInteger),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4h9ldl2b/input.p',i_0_3) ).

cnf(i_0_1,negated_conjecture,
    esk2_0 = esk1_0,
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4h9ldl2b/input.p',i_0_1) ).

cnf(i_0_2,negated_conjecture,
    p__d__instance(esk2_0,c__OddInteger),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-4h9ldl2b/input.p',i_0_2) ).

cnf(c_0_3449,plain,
    ( p__d__disjoint(X1,X2)
    | ~ p__d__disjointDecomposition3(X3,X1,X2) ),
    i_0_3441 ).

cnf(c_0_3450,plain,
    ( p__d__disjointDecomposition3(X1,X2,X3)
    | ~ p__d__partition3(X1,X2,X3) ),
    i_0_3400 ).

cnf(c_0_3451,plain,
    ( p__d__disjoint(X1,X2)
    | ~ p__d__partition3(X3,X1,X2) ),
    inference(spm,[status(thm)],[c_0_3449,c_0_3450]) ).

cnf(c_0_3452,plain,
    p__d__partition3(c__Integer,c__OddInteger,c__EvenInteger),
    i_0_1380 ).

cnf(c_0_3453,plain,
    ( ~ p__d__instance(X1,X2)
    | ~ p__d__instance(X1,X3)
    | ~ p__d__disjoint(X3,X2) ),
    i_0_3386 ).

cnf(c_0_3454,plain,
    p__d__disjoint(c__OddInteger,c__EvenInteger),
    inference(spm,[status(thm)],[c_0_3451,c_0_3452]) ).

cnf(c_0_3455,negated_conjecture,
    p__d__instance(esk1_0,c__EvenInteger),
    i_0_3 ).

cnf(c_0_3456,negated_conjecture,
    esk2_0 = esk1_0,
    i_0_1 ).

cnf(c_0_3457,plain,
    ( ~ p__d__instance(X1,c__OddInteger)
    | ~ p__d__instance(X1,c__EvenInteger) ),
    inference(spm,[status(thm)],[c_0_3453,c_0_3454]) ).

cnf(c_0_3458,negated_conjecture,
    p__d__instance(esk2_0,c__EvenInteger),
    inference(rw,[status(thm)],[c_0_3455,c_0_3456]) ).

cnf(c_0_3459,negated_conjecture,
    p__d__instance(esk2_0,c__OddInteger),
    i_0_2 ).

cnf(c_0_3460,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3457,c_0_3458]),c_0_3459])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : CSR159+1 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.14  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Fri Jun 10 15:30:06 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.45/0.64  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.45/0.64  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.45/0.64  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.45/0.64  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 26.22/6.39  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 26.22/6.39  # Version: 2.1pre011
% 26.22/6.39  # Preprocessing time       : 0.145 s
% 26.22/6.39  
% 26.22/6.39  # Proof found!
% 26.22/6.39  # SZS status Theorem
% 26.22/6.39  # SZS output start CNFRefutation
% See solution above
% 26.22/6.39  # Proof object total steps             : 19
% 26.22/6.39  # Proof object clause steps            : 12
% 26.22/6.39  # Proof object formula steps           : 7
% 26.22/6.39  # Proof object conjectures             : 8
% 26.22/6.39  # Proof object clause conjectures      : 5
% 26.22/6.39  # Proof object formula conjectures     : 3
% 26.22/6.39  # Proof object initial clauses used    : 7
% 26.22/6.39  # Proof object initial formulas used   : 7
% 26.22/6.39  # Proof object generating inferences   : 4
% 26.22/6.39  # Proof object simplifying inferences  : 3
% 26.22/6.39  # Training examples: 0 positive, 0 negative
% 26.22/6.39  # Parsed axioms                        : 4242
% 26.22/6.39  # Removed by relevancy pruning/SinE    : 0
% 26.22/6.39  # Initial clauses                      : 4242
% 26.22/6.39  # Removed in clause preprocessing      : 0
% 26.22/6.39  # Initial clauses in saturation        : 4242
% 26.22/6.39  # Processed clauses                    : 5781
% 26.22/6.39  # ...of these trivial                  : 56
% 26.22/6.39  # ...subsumed                          : 95
% 26.22/6.39  # ...remaining for further processing  : 5630
% 26.22/6.39  # Other redundant clauses eliminated   : 10
% 26.22/6.39  # Clauses deleted for lack of memory   : 0
% 26.22/6.39  # Backward-subsumed                    : 1
% 26.22/6.39  # Backward-rewritten                   : 0
% 26.22/6.39  # Generated clauses                    : 19942
% 26.22/6.39  # ...of the previous two non-trivial   : 19106
% 26.22/6.39  # Contextual simplify-reflections      : 1661
% 26.22/6.39  # Paramodulations                      : 19813
% 26.22/6.39  # Factorizations                       : 47
% 26.22/6.39  # Equation resolutions                 : 82
% 26.22/6.39  # Propositional unsat checks           : 1
% 26.22/6.39  # Propositional unsat check successes  : 0
% 26.22/6.39  # Current number of processed clauses  : 5623
% 26.22/6.39  #    Positive orientable unit clauses  : 1312
% 26.22/6.39  #    Positive unorientable unit clauses: 0
% 26.22/6.39  #    Negative unit clauses             : 220
% 26.22/6.39  #    Non-unit-clauses                  : 4091
% 26.22/6.39  # Current number of unprocessed clauses: 17555
% 26.22/6.39  # ...number of literals in the above   : 73711
% 26.22/6.39  # Current number of archived formulas  : 0
% 26.22/6.39  # Current number of archived clauses   : 1
% 26.22/6.39  # Clause-clause subsumption calls (NU) : 4904637
% 26.22/6.39  # Rec. Clause-clause subsumption calls : 2232426
% 26.22/6.39  # Non-unit clause-clause subsumptions  : 1755
% 26.22/6.39  # Unit Clause-clause subsumption calls : 521032
% 26.22/6.39  # Rewrite failures with RHS unbound    : 0
% 26.22/6.39  # BW rewrite match attempts            : 0
% 26.22/6.39  # BW rewrite match successes           : 0
% 26.22/6.39  # Condensation attempts                : 0
% 26.22/6.39  # Condensation successes               : 0
% 26.22/6.39  # Termbank termtop insertions          : 481867
% 26.22/6.39  
% 26.22/6.39  # -------------------------------------------------
% 26.22/6.39  # User time                : 1.761 s
% 26.22/6.39  # System time              : 0.032 s
% 26.22/6.39  # Total time               : 1.793 s
% 26.22/6.39  # ...preprocessing         : 0.145 s
% 26.22/6.39  # ...main loop             : 1.649 s
% 26.22/6.39  # Maximum resident set size: 56080 pages
% 26.22/6.39  
%------------------------------------------------------------------------------