TSTP Solution File: SWV372+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV372+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n028.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 17:47:00 EDT 2022

% Result   : Theorem 7.26s 2.37s
% Output   : CNFRefutation 7.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   25 (  11 unt;   6 nHn;  16 RR)
%            Number of literals    :   42 (  14 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   51 (  19 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_40,plain,
    ~ ok(triple(X1,X2,bad)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qyq0un7/input.p',i_0_40) ).

cnf(i_0_86,lemma,
    ( ok(triple(X1,X2,X3))
    | ~ phi(triple(X1,X2,X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qyq0un7/input.p',i_0_86) ).

cnf(i_0_47,plain,
    ( X1 = create_slb
    | findmin_cpq_eff(triple(X2,X1,X3)) = triple(X2,update_slb(X1,findmin_pqp_res(X2)),bad)
    | contains_slb(X1,findmin_pqp_res(X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qyq0un7/input.p',i_0_47) ).

cnf(i_0_81,negated_conjecture,
    ~ contains_pq(i(triple(esk5_0,esk6_0,esk7_0)),findmin_cpq_res(triple(esk5_0,esk6_0,esk7_0))),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qyq0un7/input.p',i_0_81) ).

cnf(i_0_51,plain,
    ( X1 = create_slb
    | findmin_cpq_res(triple(X2,X1,X3)) = findmin_pqp_res(X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qyq0un7/input.p',i_0_51) ).

cnf(i_0_85,lemma,
    ( contains_pq(i(triple(X1,X2,X3)),X4)
    | ~ contains_cpq(triple(X1,X2,X3),X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qyq0un7/input.p',i_0_85) ).

cnf(i_0_38,plain,
    ( contains_cpq(triple(X1,X2,X3),X4)
    | ~ contains_slb(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qyq0un7/input.p',i_0_38) ).

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-4qyq0un7/input.p',i_0_82) ).

cnf(i_0_46,plain,
    findmin_cpq_eff(triple(X1,create_slb,X2)) = triple(X1,create_slb,bad),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-4qyq0un7/input.p',i_0_46) ).

cnf(c_0_96,plain,
    ~ ok(triple(X1,X2,bad)),
    i_0_40 ).

cnf(c_0_97,lemma,
    ( ok(triple(X1,X2,X3))
    | ~ phi(triple(X1,X2,X3)) ),
    i_0_86 ).

cnf(c_0_98,plain,
    ~ phi(triple(X1,X2,bad)),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_99,plain,
    ( X1 = create_slb
    | findmin_cpq_eff(triple(X2,X1,X3)) = triple(X2,update_slb(X1,findmin_pqp_res(X2)),bad)
    | contains_slb(X1,findmin_pqp_res(X2)) ),
    i_0_47 ).

cnf(c_0_100,negated_conjecture,
    ~ contains_pq(i(triple(esk5_0,esk6_0,esk7_0)),findmin_cpq_res(triple(esk5_0,esk6_0,esk7_0))),
    i_0_81 ).

cnf(c_0_101,plain,
    ( X1 = create_slb
    | findmin_cpq_res(triple(X2,X1,X3)) = findmin_pqp_res(X2) ),
    i_0_51 ).

cnf(c_0_102,lemma,
    ( contains_pq(i(triple(X1,X2,X3)),X4)
    | ~ contains_cpq(triple(X1,X2,X3),X4) ),
    i_0_85 ).

cnf(c_0_103,plain,
    ( contains_cpq(triple(X1,X2,X3),X4)
    | ~ contains_slb(X2,X4) ),
    i_0_38 ).

cnf(c_0_104,plain,
    ( X1 = create_slb
    | contains_slb(X1,findmin_pqp_res(X2))
    | ~ phi(findmin_cpq_eff(triple(X2,X1,X3))) ),
    inference(spm,[status(thm)],[c_0_98,c_0_99]) ).

cnf(c_0_105,negated_conjecture,
    phi(findmin_cpq_eff(triple(esk5_0,esk6_0,esk7_0))),
    i_0_82 ).

cnf(c_0_106,negated_conjecture,
    ( esk6_0 = create_slb
    | ~ contains_pq(i(triple(esk5_0,esk6_0,esk7_0)),findmin_pqp_res(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_107,lemma,
    ( contains_pq(i(triple(X1,X2,X3)),X4)
    | ~ contains_slb(X2,X4) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_108,negated_conjecture,
    ( esk6_0 = create_slb
    | contains_slb(esk6_0,findmin_pqp_res(esk5_0)) ),
    inference(spm,[status(thm)],[c_0_104,c_0_105]) ).

cnf(c_0_109,negated_conjecture,
    esk6_0 = create_slb,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_107]),c_0_108]) ).

cnf(c_0_110,plain,
    findmin_cpq_eff(triple(X1,create_slb,X2)) = triple(X1,create_slb,bad),
    i_0_46 ).

cnf(c_0_111,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_109]),c_0_110]),c_0_98]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV372+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.33  % Computer : n028.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Tue Jun 14 15:10:11 EDT 2022
% 0.14/0.33  % 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
% 7.26/2.37  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 7.26/2.37  # Version: 2.1pre011
% 7.26/2.37  # Preprocessing time       : 0.012 s
% 7.26/2.37  
% 7.26/2.37  # Proof found!
% 7.26/2.37  # SZS status Theorem
% 7.26/2.37  # SZS output start CNFRefutation
% See solution above
% 7.26/2.37  # Proof object total steps             : 25
% 7.26/2.37  # Proof object clause steps            : 16
% 7.26/2.37  # Proof object formula steps           : 9
% 7.26/2.37  # Proof object conjectures             : 8
% 7.26/2.37  # Proof object clause conjectures      : 6
% 7.26/2.37  # Proof object formula conjectures     : 2
% 7.26/2.37  # Proof object initial clauses used    : 9
% 7.26/2.37  # Proof object initial formulas used   : 9
% 7.26/2.37  # Proof object generating inferences   : 6
% 7.26/2.37  # Proof object simplifying inferences  : 4
% 7.26/2.37  # Training examples: 0 positive, 0 negative
% 7.26/2.37  # Parsed axioms                        : 90
% 7.26/2.37  # Removed by relevancy pruning/SinE    : 0
% 7.26/2.37  # Initial clauses                      : 90
% 7.26/2.37  # Removed in clause preprocessing      : 0
% 7.26/2.37  # Initial clauses in saturation        : 90
% 7.26/2.37  # Processed clauses                    : 111
% 7.26/2.37  # ...of these trivial                  : 0
% 7.26/2.37  # ...subsumed                          : 2
% 7.26/2.37  # ...remaining for further processing  : 109
% 7.26/2.37  # Other redundant clauses eliminated   : 4
% 7.26/2.37  # Clauses deleted for lack of memory   : 0
% 7.26/2.37  # Backward-subsumed                    : 0
% 7.26/2.37  # Backward-rewritten                   : 4
% 7.26/2.37  # Generated clauses                    : 238
% 7.26/2.37  # ...of the previous two non-trivial   : 209
% 7.26/2.37  # Contextual simplify-reflections      : 3
% 7.26/2.37  # Paramodulations                      : 233
% 7.26/2.37  # Factorizations                       : 2
% 7.26/2.37  # Equation resolutions                 : 4
% 7.26/2.37  # Propositional unsat checks           : 0
% 7.26/2.37  # Propositional unsat check successes  : 0
% 7.26/2.37  # Current number of processed clauses  : 102
% 7.26/2.37  #    Positive orientable unit clauses  : 19
% 7.26/2.37  #    Positive unorientable unit clauses: 2
% 7.26/2.37  #    Negative unit clauses             : 9
% 7.26/2.37  #    Non-unit-clauses                  : 72
% 7.26/2.37  # Current number of unprocessed clauses: 184
% 7.26/2.37  # ...number of literals in the above   : 531
% 7.26/2.37  # Current number of archived formulas  : 0
% 7.26/2.37  # Current number of archived clauses   : 4
% 7.26/2.37  # Clause-clause subsumption calls (NU) : 552
% 7.26/2.37  # Rec. Clause-clause subsumption calls : 440
% 7.26/2.37  # Non-unit clause-clause subsumptions  : 4
% 7.26/2.37  # Unit Clause-clause subsumption calls : 183
% 7.26/2.37  # Rewrite failures with RHS unbound    : 0
% 7.26/2.37  # BW rewrite match attempts            : 5
% 7.26/2.37  # BW rewrite match successes           : 1
% 7.26/2.37  # Condensation attempts                : 0
% 7.26/2.37  # Condensation successes               : 0
% 7.26/2.37  # Termbank termtop insertions          : 4706
% 7.26/2.37  
% 7.26/2.37  # -------------------------------------------------
% 7.26/2.37  # User time                : 0.014 s
% 7.26/2.37  # System time              : 0.005 s
% 7.26/2.37  # Total time               : 0.019 s
% 7.26/2.37  # ...preprocessing         : 0.012 s
% 7.26/2.37  # ...main loop             : 0.007 s
% 7.26/2.37  # Maximum resident set size: 7140 pages
% 7.26/2.37  
%------------------------------------------------------------------------------