TSTP Solution File: SWV374+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV374+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 7.97s 2.42s
% Output   : CNFRefutation 7.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   24 (   8 unt;  13 nHn;  13 RR)
%            Number of literals    :   52 (  20 equ;  14 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   :   38 (  14 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-5_mm9nge/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-5_mm9nge/input.p',i_0_51) ).

cnf(i_0_30,plain,
    ~ ok(triple(X1,X2,bad)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5_mm9nge/input.p',i_0_30) ).

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-5_mm9nge/input.p',i_0_37) ).

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-5_mm9nge/input.p',i_0_38) ).

cnf(i_0_46,negated_conjecture,
    ok(findmin_cpq_eff(triple(esk1_0,esk2_0,esk3_0))),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5_mm9nge/input.p',i_0_46) ).

cnf(i_0_45,negated_conjecture,
    ( esk2_0 = create_slb
    | ~ contains_slb(esk2_0,findmin_pqp_res(esk1_0))
    | ~ less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-5_mm9nge/input.p',i_0_45) ).

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-5_mm9nge/input.p',i_0_36) ).

cnf(c_0_60,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    i_0_48 ).

cnf(c_0_61,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    i_0_51 ).

cnf(c_0_62,plain,
    ~ ok(triple(X1,X2,bad)),
    i_0_30 ).

cnf(c_0_63,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_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_60,c_0_61]) ).

cnf(c_0_66,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_62,c_0_63]) ).

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

cnf(c_0_68,negated_conjecture,
    ( esk2_0 = create_slb
    | ~ contains_slb(esk2_0,findmin_pqp_res(esk1_0))
    | ~ less_than(lookup_slb(esk2_0,findmin_pqp_res(esk1_0)),findmin_pqp_res(esk1_0)) ),
    i_0_45 ).

cnf(c_0_69,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_63]) ).

cnf(c_0_70,negated_conjecture,
    ( esk2_0 = create_slb
    | contains_slb(esk2_0,findmin_pqp_res(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_71,negated_conjecture,
    ( findmin_cpq_eff(triple(esk1_0,esk2_0,X1)) = triple(esk1_0,update_slb(esk2_0,findmin_pqp_res(esk1_0)),bad)
    | esk2_0 = create_slb ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_72,plain,
    ( esk2_0 = create_slb
    | ~ ok(findmin_cpq_eff(triple(esk1_0,esk2_0,X1))) ),
    inference(spm,[status(thm)],[c_0_62,c_0_71]) ).

cnf(c_0_73,negated_conjecture,
    esk2_0 = create_slb,
    inference(spm,[status(thm)],[c_0_72,c_0_67]) ).

cnf(c_0_74,plain,
    findmin_cpq_eff(triple(X1,create_slb,X2)) = triple(X1,create_slb,bad),
    i_0_36 ).

cnf(c_0_75,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_73]),c_0_74]),c_0_62]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV374+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 : n013.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 18:15:45 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
% 7.97/2.42  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 7.97/2.42  # Version: 2.1pre011
% 7.97/2.42  # Preprocessing time       : 0.019 s
% 7.97/2.42  
% 7.97/2.42  # Proof found!
% 7.97/2.42  # SZS status Theorem
% 7.97/2.42  # SZS output start CNFRefutation
% See solution above
% 7.97/2.42  # Proof object total steps             : 24
% 7.97/2.42  # Proof object clause steps            : 16
% 7.97/2.42  # Proof object formula steps           : 8
% 7.97/2.42  # Proof object conjectures             : 8
% 7.97/2.42  # Proof object clause conjectures      : 6
% 7.97/2.42  # Proof object formula conjectures     : 2
% 7.97/2.42  # Proof object initial clauses used    : 8
% 7.97/2.42  # Proof object initial formulas used   : 8
% 7.97/2.42  # Proof object generating inferences   : 6
% 7.97/2.42  # Proof object simplifying inferences  : 6
% 7.97/2.42  # Training examples: 0 positive, 0 negative
% 7.97/2.42  # Parsed axioms                        : 50
% 7.97/2.42  # Removed by relevancy pruning/SinE    : 0
% 7.97/2.42  # Initial clauses                      : 50
% 7.97/2.42  # Removed in clause preprocessing      : 0
% 7.97/2.42  # Initial clauses in saturation        : 50
% 7.97/2.42  # Processed clauses                    : 150
% 7.97/2.42  # ...of these trivial                  : 0
% 7.97/2.42  # ...subsumed                          : 44
% 7.97/2.42  # ...remaining for further processing  : 106
% 7.97/2.42  # Other redundant clauses eliminated   : 3
% 7.97/2.42  # Clauses deleted for lack of memory   : 0
% 7.97/2.42  # Backward-subsumed                    : 1
% 7.97/2.42  # Backward-rewritten                   : 16
% 7.97/2.42  # Generated clauses                    : 637
% 7.97/2.42  # ...of the previous two non-trivial   : 577
% 7.97/2.42  # Contextual simplify-reflections      : 28
% 7.97/2.42  # Paramodulations                      : 613
% 7.97/2.42  # Factorizations                       : 22
% 7.97/2.42  # Equation resolutions                 : 3
% 7.97/2.42  # Propositional unsat checks           : 0
% 7.97/2.42  # Propositional unsat check successes  : 0
% 7.97/2.42  # Current number of processed clauses  : 87
% 7.97/2.42  #    Positive orientable unit clauses  : 14
% 7.97/2.42  #    Positive unorientable unit clauses: 0
% 7.97/2.42  #    Negative unit clauses             : 10
% 7.97/2.42  #    Non-unit-clauses                  : 63
% 7.97/2.42  # Current number of unprocessed clauses: 343
% 7.97/2.42  # ...number of literals in the above   : 1519
% 7.97/2.42  # Current number of archived formulas  : 0
% 7.97/2.42  # Current number of archived clauses   : 17
% 7.97/2.42  # Clause-clause subsumption calls (NU) : 2947
% 7.97/2.42  # Rec. Clause-clause subsumption calls : 1608
% 7.97/2.42  # Non-unit clause-clause subsumptions  : 69
% 7.97/2.42  # Unit Clause-clause subsumption calls : 37
% 7.97/2.42  # Rewrite failures with RHS unbound    : 0
% 7.97/2.42  # BW rewrite match attempts            : 8
% 7.97/2.42  # BW rewrite match successes           : 1
% 7.97/2.42  # Condensation attempts                : 0
% 7.97/2.42  # Condensation successes               : 0
% 7.97/2.42  # Termbank termtop insertions          : 13153
% 7.97/2.42  
% 7.97/2.42  # -------------------------------------------------
% 7.97/2.42  # User time                : 0.039 s
% 7.97/2.42  # System time              : 0.004 s
% 7.97/2.42  # Total time               : 0.043 s
% 7.97/2.42  # ...preprocessing         : 0.019 s
% 7.97/2.42  # ...main loop             : 0.024 s
% 7.97/2.42  # Maximum resident set size: 7124 pages
% 7.97/2.42  
%------------------------------------------------------------------------------