TSTP Solution File: SWV378+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV378+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 8.47s 2.44s
% Output   : CNFRefutation 8.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   27 (  12 unt;   9 nHn;  16 RR)
%            Number of literals    :   50 (   9 equ;  21 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   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   :   51 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_46,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irck8qm7/input.p',i_0_46) ).

cnf(i_0_31,plain,
    ( X1 = bad
    | ok(triple(X2,X3,X1)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irck8qm7/input.p',i_0_31) ).

cnf(i_0_45,negated_conjecture,
    ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irck8qm7/input.p',i_0_45) ).

cnf(i_0_30,plain,
    ~ ok(triple(X1,X2,bad)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irck8qm7/input.p',i_0_30) ).

cnf(i_0_35,plain,
    ( remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad)
    | ~ contains_slb(X2,X4)
    | ~ strictly_less_than(X4,lookup_slb(X2,X4)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irck8qm7/input.p',i_0_35) ).

cnf(i_0_33,plain,
    ( remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad)
    | contains_slb(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irck8qm7/input.p',i_0_33) ).

cnf(i_0_48,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irck8qm7/input.p',i_0_48) ).

cnf(i_0_51,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irck8qm7/input.p',i_0_51) ).

cnf(i_0_34,plain,
    ( triple(remove_pqp(X1,X2),remove_slb(X3,X2),X4) = remove_cpq(triple(X1,X3,X4),X2)
    | ~ contains_slb(X3,X2)
    | ~ less_than(lookup_slb(X3,X2),X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-irck8qm7/input.p',i_0_34) ).

cnf(c_0_61,negated_conjecture,
    ~ ok(triple(esk1_0,esk2_0,esk3_0)),
    i_0_46 ).

cnf(c_0_62,plain,
    ( X1 = bad
    | ok(triple(X2,X3,X1)) ),
    i_0_31 ).

cnf(c_0_63,negated_conjecture,
    ok(remove_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    i_0_45 ).

cnf(c_0_64,negated_conjecture,
    esk3_0 = bad,
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_65,plain,
    ~ ok(triple(X1,X2,bad)),
    i_0_30 ).

cnf(c_0_66,plain,
    ( remove_cpq(triple(X1,X2,X3),X4) = triple(remove_pqp(X1,X4),remove_slb(X2,X4),bad)
    | ~ contains_slb(X2,X4)
    | ~ strictly_less_than(X4,lookup_slb(X2,X4)) ),
    i_0_35 ).

cnf(c_0_67,negated_conjecture,
    ok(remove_cpq(triple(esk1_0,esk2_0,bad),esk4_0)),
    inference(rw,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_68,plain,
    ( remove_cpq(triple(X1,X2,X3),X4) = triple(X1,X2,bad)
    | contains_slb(X2,X4) ),
    i_0_33 ).

cnf(c_0_69,plain,
    ( ~ strictly_less_than(X1,lookup_slb(X2,X1))
    | ~ contains_slb(X2,X1)
    | ~ ok(remove_cpq(triple(X3,X2,X4),X1)) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_70,plain,
    contains_slb(esk2_0,esk4_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_65]) ).

cnf(c_0_71,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    i_0_48 ).

cnf(c_0_72,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    i_0_51 ).

cnf(c_0_73,plain,
    ( triple(remove_pqp(X1,X2),remove_slb(X3,X2),X4) = remove_cpq(triple(X1,X3,X4),X2)
    | ~ contains_slb(X3,X2)
    | ~ less_than(lookup_slb(X3,X2),X2) ),
    i_0_34 ).

cnf(c_0_74,negated_conjecture,
    ~ strictly_less_than(esk4_0,lookup_slb(esk2_0,esk4_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_67]),c_0_70])]) ).

cnf(c_0_75,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1) ),
    inference(csr,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_76,plain,
    ( ~ contains_slb(X1,X2)
    | ~ ok(remove_cpq(triple(X3,X1,bad),X2))
    | ~ less_than(lookup_slb(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_65,c_0_73]) ).

cnf(c_0_77,plain,
    less_than(lookup_slb(esk2_0,esk4_0),esk4_0),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_78,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_67]),c_0_70]),c_0_77])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV378+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Wed Jun 15 18:24:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.20/0.46  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.20/0.46  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.20/0.46  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.47/2.44  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_S0Y:
% 8.47/2.44  # Version: 2.1pre011
% 8.47/2.44  # Preprocessing time       : 0.019 s
% 8.47/2.44  
% 8.47/2.44  # Proof found!
% 8.47/2.44  # SZS status Theorem
% 8.47/2.44  # SZS output start CNFRefutation
% See solution above
% 8.47/2.44  # Proof object total steps             : 27
% 8.47/2.44  # Proof object clause steps            : 18
% 8.47/2.44  # Proof object formula steps           : 9
% 8.47/2.44  # Proof object conjectures             : 8
% 8.47/2.44  # Proof object clause conjectures      : 6
% 8.47/2.44  # Proof object formula conjectures     : 2
% 8.47/2.44  # Proof object initial clauses used    : 9
% 8.47/2.44  # Proof object initial formulas used   : 9
% 8.47/2.44  # Proof object generating inferences   : 7
% 8.47/2.44  # Proof object simplifying inferences  : 8
% 8.47/2.44  # Training examples: 0 positive, 0 negative
% 8.47/2.44  # Parsed axioms                        : 50
% 8.47/2.44  # Removed by relevancy pruning/SinE    : 0
% 8.47/2.44  # Initial clauses                      : 50
% 8.47/2.44  # Removed in clause preprocessing      : 0
% 8.47/2.44  # Initial clauses in saturation        : 50
% 8.47/2.44  # Processed clauses                    : 65
% 8.47/2.44  # ...of these trivial                  : 0
% 8.47/2.44  # ...subsumed                          : 3
% 8.47/2.44  # ...remaining for further processing  : 62
% 8.47/2.44  # Other redundant clauses eliminated   : 3
% 8.47/2.44  # Clauses deleted for lack of memory   : 0
% 8.47/2.44  # Backward-subsumed                    : 0
% 8.47/2.44  # Backward-rewritten                   : 2
% 8.47/2.44  # Generated clauses                    : 123
% 8.47/2.44  # ...of the previous two non-trivial   : 107
% 8.47/2.44  # Contextual simplify-reflections      : 2
% 8.47/2.44  # Paramodulations                      : 119
% 8.47/2.44  # Factorizations                       : 2
% 8.47/2.44  # Equation resolutions                 : 3
% 8.47/2.44  # Propositional unsat checks           : 0
% 8.47/2.44  # Propositional unsat check successes  : 0
% 8.47/2.44  # Current number of processed clauses  : 58
% 8.47/2.44  #    Positive orientable unit clauses  : 17
% 8.47/2.44  #    Positive unorientable unit clauses: 0
% 8.47/2.44  #    Negative unit clauses             : 6
% 8.47/2.44  #    Non-unit-clauses                  : 35
% 8.47/2.44  # Current number of unprocessed clauses: 87
% 8.47/2.44  # ...number of literals in the above   : 290
% 8.47/2.44  # Current number of archived formulas  : 0
% 8.47/2.44  # Current number of archived clauses   : 2
% 8.47/2.44  # Clause-clause subsumption calls (NU) : 129
% 8.47/2.44  # Rec. Clause-clause subsumption calls : 86
% 8.47/2.44  # Non-unit clause-clause subsumptions  : 4
% 8.47/2.44  # Unit Clause-clause subsumption calls : 25
% 8.47/2.44  # Rewrite failures with RHS unbound    : 0
% 8.47/2.44  # BW rewrite match attempts            : 7
% 8.47/2.44  # BW rewrite match successes           : 1
% 8.47/2.44  # Condensation attempts                : 0
% 8.47/2.44  # Condensation successes               : 0
% 8.47/2.44  # Termbank termtop insertions          : 2696
% 8.47/2.44  
% 8.47/2.44  # -------------------------------------------------
% 8.47/2.44  # User time                : 0.020 s
% 8.47/2.44  # System time              : 0.004 s
% 8.47/2.44  # Total time               : 0.024 s
% 8.47/2.44  # ...preprocessing         : 0.019 s
% 8.47/2.44  # ...main loop             : 0.005 s
% 8.47/2.44  # Maximum resident set size: 7128 pages
% 8.47/2.44  
%------------------------------------------------------------------------------