TSTP Solution File: SWV379+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV379+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 17:47:01 EDT 2022

% Result   : Theorem 7.70s 2.49s
% Output   : CNFRefutation 7.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   31 (  12 unt;  19 nHn;  16 RR)
%            Number of literals    :   65 (  26 equ;  16 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   52 (  17 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_48,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-23sgk3dn/input.p',i_0_48) ).

cnf(i_0_51,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-23sgk3dn/input.p',i_0_51) ).

cnf(i_0_38,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))
    | ~ strictly_less_than(findmin_pqp_res(X2),lookup_slb(X1,findmin_pqp_res(X2))) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-23sgk3dn/input.p',i_0_38) ).

cnf(i_0_37,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/sandbox/tmp/enigma-theBenchmark.p-23sgk3dn/input.p',i_0_37) ).

cnf(i_0_46,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-23sgk3dn/input.p',i_0_46) ).

cnf(i_0_31,plain,
    ( X1 = bad
    | ok(triple(X2,X3,X1)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-23sgk3dn/input.p',i_0_31) ).

cnf(i_0_30,plain,
    ~ ok(triple(X1,X2,bad)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-23sgk3dn/input.p',i_0_30) ).

cnf(i_0_45,negated_conjecture,
    ok(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-23sgk3dn/input.p',i_0_45) ).

cnf(i_0_39,plain,
    ( X1 = create_slb
    | triple(X2,update_slb(X1,findmin_pqp_res(X2)),X3) = findmin_cpq_eff(triple(X2,X1,X3))
    | ~ contains_slb(X1,findmin_pqp_res(X2))
    | ~ less_than(lookup_slb(X1,findmin_pqp_res(X2)),findmin_pqp_res(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-23sgk3dn/input.p',i_0_39) ).

cnf(i_0_36,plain,
    findmin_cpq_eff(triple(X1,create_slb,X2)) = triple(X1,create_slb,bad),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-23sgk3dn/input.p',i_0_36) ).

cnf(c_0_62,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    i_0_48 ).

cnf(c_0_63,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    i_0_51 ).

cnf(c_0_64,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))
    | ~ strictly_less_than(findmin_pqp_res(X2),lookup_slb(X1,findmin_pqp_res(X2))) ),
    i_0_38 ).

cnf(c_0_65,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1) ),
    inference(csr,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_66,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_37 ).

cnf(c_0_67,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    i_0_46 ).

cnf(c_0_68,plain,
    ( X1 = bad
    | ok(triple(X2,X3,X1)) ),
    i_0_31 ).

cnf(c_0_69,plain,
    ~ ok(triple(X1,X2,bad)),
    i_0_30 ).

cnf(c_0_70,plain,
    ( findmin_cpq_eff(triple(X1,X2,X3)) = triple(X1,update_slb(X2,findmin_pqp_res(X1)),bad)
    | X2 = create_slb
    | less_than(lookup_slb(X2,findmin_pqp_res(X1)),findmin_pqp_res(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_71,negated_conjecture,
    ok(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))),
    i_0_45 ).

cnf(c_0_72,negated_conjecture,
    esk3_0 = bad,
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_73,plain,
    ( X1 = create_slb
    | less_than(lookup_slb(X1,findmin_pqp_res(X2)),findmin_pqp_res(X2))
    | ~ ok(findmin_cpq_eff(triple(X2,X1,X3))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_74,negated_conjecture,
    ok(findmin_cpq_eff(triple(esk1_0,esk2_0,bad))),
    inference(rw,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_75,plain,
    ( X1 = create_slb
    | contains_slb(X1,findmin_pqp_res(X2))
    | ~ ok(findmin_cpq_eff(triple(X2,X1,X3))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_66]) ).

cnf(c_0_76,plain,
    ( X1 = create_slb
    | triple(X2,update_slb(X1,findmin_pqp_res(X2)),X3) = findmin_cpq_eff(triple(X2,X1,X3))
    | ~ contains_slb(X1,findmin_pqp_res(X2))
    | ~ less_than(lookup_slb(X1,findmin_pqp_res(X2)),findmin_pqp_res(X2)) ),
    i_0_39 ).

cnf(c_0_77,negated_conjecture,
    ( esk2_0 = create_slb
    | less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_78,negated_conjecture,
    ( esk2_0 = create_slb
    | contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_75,c_0_74]) ).

cnf(c_0_79,plain,
    ( triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),X1) = findmin_cpq_eff(triple(esk1_0,esk2_0,X1))
    | esk2_0 = create_slb ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

cnf(c_0_80,plain,
    esk2_0 = create_slb,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_79]),c_0_74])]) ).

cnf(c_0_81,plain,
    findmin_cpq_eff(triple(X1,create_slb,X2)) = triple(X1,create_slb,bad),
    i_0_36 ).

cnf(c_0_82,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_80]),c_0_81]),c_0_69]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV379+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 : n021.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 03:36:15 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  # ENIGMATIC: Selected SinE mode:
% 0.19/0.46  # Parsing /export/starexec/sandbox/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
% 7.70/2.49  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.70/2.49  # Version: 2.1pre011
% 7.70/2.49  # Preprocessing time       : 0.013 s
% 7.70/2.49  
% 7.70/2.49  # Proof found!
% 7.70/2.49  # SZS status Theorem
% 7.70/2.49  # SZS output start CNFRefutation
% See solution above
% 7.70/2.49  # Proof object total steps             : 31
% 7.70/2.49  # Proof object clause steps            : 21
% 7.70/2.49  # Proof object formula steps           : 10
% 7.70/2.49  # Proof object conjectures             : 9
% 7.70/2.49  # Proof object clause conjectures      : 7
% 7.70/2.49  # Proof object formula conjectures     : 2
% 7.70/2.49  # Proof object initial clauses used    : 10
% 7.70/2.49  # Proof object initial formulas used   : 10
% 7.70/2.49  # Proof object generating inferences   : 8
% 7.70/2.49  # Proof object simplifying inferences  : 9
% 7.70/2.49  # Training examples: 0 positive, 0 negative
% 7.70/2.49  # Parsed axioms                        : 50
% 7.70/2.49  # Removed by relevancy pruning/SinE    : 0
% 7.70/2.49  # Initial clauses                      : 50
% 7.70/2.49  # Removed in clause preprocessing      : 0
% 7.70/2.49  # Initial clauses in saturation        : 50
% 7.70/2.49  # Processed clauses                    : 147
% 7.70/2.49  # ...of these trivial                  : 1
% 7.70/2.49  # ...subsumed                          : 20
% 7.70/2.49  # ...remaining for further processing  : 126
% 7.70/2.49  # Other redundant clauses eliminated   : 3
% 7.70/2.49  # Clauses deleted for lack of memory   : 0
% 7.70/2.49  # Backward-subsumed                    : 0
% 7.70/2.49  # Backward-rewritten                   : 9
% 7.70/2.49  # Generated clauses                    : 762
% 7.70/2.49  # ...of the previous two non-trivial   : 680
% 7.70/2.49  # Contextual simplify-reflections      : 10
% 7.70/2.49  # Paramodulations                      : 740
% 7.70/2.49  # Factorizations                       : 20
% 7.70/2.49  # Equation resolutions                 : 3
% 7.70/2.49  # Propositional unsat checks           : 0
% 7.70/2.49  # Propositional unsat check successes  : 0
% 7.70/2.49  # Current number of processed clauses  : 115
% 7.70/2.49  #    Positive orientable unit clauses  : 17
% 7.70/2.49  #    Positive unorientable unit clauses: 0
% 7.70/2.49  #    Negative unit clauses             : 12
% 7.70/2.49  #    Non-unit-clauses                  : 86
% 7.70/2.49  # Current number of unprocessed clauses: 503
% 7.70/2.49  # ...number of literals in the above   : 2376
% 7.70/2.49  # Current number of archived formulas  : 0
% 7.70/2.49  # Current number of archived clauses   : 9
% 7.70/2.49  # Clause-clause subsumption calls (NU) : 1375
% 7.70/2.49  # Rec. Clause-clause subsumption calls : 675
% 7.70/2.49  # Non-unit clause-clause subsumptions  : 25
% 7.70/2.49  # Unit Clause-clause subsumption calls : 48
% 7.70/2.49  # Rewrite failures with RHS unbound    : 0
% 7.70/2.49  # BW rewrite match attempts            : 8
% 7.70/2.49  # BW rewrite match successes           : 2
% 7.70/2.49  # Condensation attempts                : 0
% 7.70/2.49  # Condensation successes               : 0
% 7.70/2.49  # Termbank termtop insertions          : 16080
% 7.70/2.49  
% 7.70/2.49  # -------------------------------------------------
% 7.70/2.49  # User time                : 0.023 s
% 7.70/2.49  # System time              : 0.006 s
% 7.70/2.49  # Total time               : 0.029 s
% 7.70/2.49  # ...preprocessing         : 0.013 s
% 7.70/2.49  # ...main loop             : 0.015 s
% 7.70/2.49  # Maximum resident set size: 7128 pages
% 7.70/2.49  
%------------------------------------------------------------------------------