TSTP Solution File: SWV417+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV417+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n009.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 : Wed Jul 20 17:47:10 EDT 2022

% Result   : Theorem 7.41s 2.39s
% Output   : CNFRefutation 7.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   3 unt;   0 nHn;  14 RR)
%            Number of literals    :   27 (   5 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   21 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_81,negated_conjecture,
    ( findmin_pq_res(i(triple(esk5_0,esk6_0,esk7_0)),X1) != findmin_cpq_res(triple(esk5_0,esk6_0,esk7_0))
    | ~ pi_sharp_find_min(i(triple(esk5_0,esk6_0,esk7_0)),X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if800xdv/input.p',i_0_81) ).

cnf(i_0_7,plain,
    ( findmin_pq_res(X1,X2) = X2
    | ~ issmallestelement_pq(X1,X2)
    | ~ contains_pq(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if800xdv/input.p',i_0_7) ).

cnf(i_0_62,plain,
    ( contains_pq(X1,X2)
    | ~ pi_sharp_find_min(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if800xdv/input.p',i_0_62) ).

cnf(i_0_61,plain,
    ( issmallestelement_pq(X1,X2)
    | ~ pi_sharp_find_min(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if800xdv/input.p',i_0_61) ).

cnf(i_0_84,lemma,
    ( pi_sharp_find_min(i(triple(X1,X2,X3)),findmin_cpq_res(triple(X1,X2,X3)))
    | ~ phi(findmin_cpq_eff(triple(X1,X2,X3))) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if800xdv/input.p',i_0_84) ).

cnf(i_0_82,negated_conjecture,
    phi(findmin_cpq_eff(triple(esk5_0,esk6_0,esk7_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-if800xdv/input.p',i_0_82) ).

cnf(c_0_91,negated_conjecture,
    ( findmin_pq_res(i(triple(esk5_0,esk6_0,esk7_0)),X1) != findmin_cpq_res(triple(esk5_0,esk6_0,esk7_0))
    | ~ pi_sharp_find_min(i(triple(esk5_0,esk6_0,esk7_0)),X1) ),
    i_0_81 ).

cnf(c_0_92,plain,
    ( findmin_pq_res(X1,X2) = X2
    | ~ issmallestelement_pq(X1,X2)
    | ~ contains_pq(X1,X2) ),
    i_0_7 ).

cnf(c_0_93,plain,
    ( contains_pq(X1,X2)
    | ~ pi_sharp_find_min(X1,X2) ),
    i_0_62 ).

cnf(c_0_94,plain,
    ( issmallestelement_pq(X1,X2)
    | ~ pi_sharp_find_min(X1,X2) ),
    i_0_61 ).

cnf(c_0_95,negated_conjecture,
    ( X1 != findmin_cpq_res(triple(esk5_0,esk6_0,esk7_0))
    | ~ pi_sharp_find_min(i(triple(esk5_0,esk6_0,esk7_0)),X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_93]),c_0_94]) ).

cnf(c_0_96,lemma,
    ( pi_sharp_find_min(i(triple(X1,X2,X3)),findmin_cpq_res(triple(X1,X2,X3)))
    | ~ phi(findmin_cpq_eff(triple(X1,X2,X3))) ),
    i_0_84 ).

cnf(c_0_97,negated_conjecture,
    phi(findmin_cpq_eff(triple(esk5_0,esk6_0,esk7_0))),
    i_0_82 ).

cnf(c_0_98,lemma,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV417+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.34  % Computer : n009.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 : Wed Jun 15 09:32:24 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
% 7.41/2.39  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.41/2.39  # Version: 2.1pre011
% 7.41/2.39  # Preprocessing time       : 0.010 s
% 7.41/2.39  
% 7.41/2.39  # Proof found!
% 7.41/2.39  # SZS status Theorem
% 7.41/2.39  # SZS output start CNFRefutation
% See solution above
% 7.41/2.39  # Proof object total steps             : 14
% 7.41/2.39  # Proof object clause steps            : 8
% 7.41/2.39  # Proof object formula steps           : 6
% 7.41/2.39  # Proof object conjectures             : 5
% 7.41/2.39  # Proof object clause conjectures      : 3
% 7.41/2.39  # Proof object formula conjectures     : 2
% 7.41/2.39  # Proof object initial clauses used    : 6
% 7.41/2.39  # Proof object initial formulas used   : 6
% 7.41/2.39  # Proof object generating inferences   : 2
% 7.41/2.39  # Proof object simplifying inferences  : 4
% 7.41/2.39  # Training examples: 0 positive, 0 negative
% 7.41/2.39  # Parsed axioms                        : 88
% 7.41/2.39  # Removed by relevancy pruning/SinE    : 0
% 7.41/2.39  # Initial clauses                      : 88
% 7.41/2.39  # Removed in clause preprocessing      : 0
% 7.41/2.39  # Initial clauses in saturation        : 88
% 7.41/2.39  # Processed clauses                    : 94
% 7.41/2.39  # ...of these trivial                  : 0
% 7.41/2.39  # ...subsumed                          : 2
% 7.41/2.39  # ...remaining for further processing  : 92
% 7.41/2.39  # Other redundant clauses eliminated   : 4
% 7.41/2.39  # Clauses deleted for lack of memory   : 0
% 7.41/2.39  # Backward-subsumed                    : 0
% 7.41/2.39  # Backward-rewritten                   : 0
% 7.41/2.39  # Generated clauses                    : 190
% 7.41/2.39  # ...of the previous two non-trivial   : 165
% 7.41/2.39  # Contextual simplify-reflections      : 4
% 7.41/2.39  # Paramodulations                      : 185
% 7.41/2.39  # Factorizations                       : 2
% 7.41/2.39  # Equation resolutions                 : 4
% 7.41/2.39  # Propositional unsat checks           : 0
% 7.41/2.39  # Propositional unsat check successes  : 0
% 7.41/2.39  # Current number of processed clauses  : 89
% 7.41/2.39  #    Positive orientable unit clauses  : 18
% 7.41/2.39  #    Positive unorientable unit clauses: 2
% 7.41/2.39  #    Negative unit clauses             : 6
% 7.41/2.39  #    Non-unit-clauses                  : 63
% 7.41/2.39  # Current number of unprocessed clauses: 156
% 7.41/2.39  # ...number of literals in the above   : 431
% 7.41/2.39  # Current number of archived formulas  : 0
% 7.41/2.39  # Current number of archived clauses   : 0
% 7.41/2.39  # Clause-clause subsumption calls (NU) : 967
% 7.41/2.39  # Rec. Clause-clause subsumption calls : 795
% 7.41/2.39  # Non-unit clause-clause subsumptions  : 6
% 7.41/2.39  # Unit Clause-clause subsumption calls : 36
% 7.41/2.39  # Rewrite failures with RHS unbound    : 0
% 7.41/2.39  # BW rewrite match attempts            : 2
% 7.41/2.39  # BW rewrite match successes           : 0
% 7.41/2.39  # Condensation attempts                : 0
% 7.41/2.39  # Condensation successes               : 0
% 7.41/2.39  # Termbank termtop insertions          : 4148
% 7.41/2.39  
% 7.41/2.39  # -------------------------------------------------
% 7.41/2.39  # User time                : 0.010 s
% 7.41/2.39  # System time              : 0.004 s
% 7.41/2.39  # Total time               : 0.014 s
% 7.41/2.39  # ...preprocessing         : 0.010 s
% 7.41/2.39  # ...main loop             : 0.004 s
% 7.41/2.39  # Maximum resident set size: 7140 pages
% 7.41/2.39  
%------------------------------------------------------------------------------