TSTP Solution File: SWV390+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV390+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 17:47:04 EDT 2022

% Result   : Theorem 8.99s 2.52s
% Output   : CNFRefutation 8.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   21 (  10 unt;   2 nHn;  12 RR)
%            Number of literals    :   37 (   2 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   56 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_26,plain,
    ( check_cpq(triple(X1,X2,X3))
    | ~ less_than(X4,X5)
    | ~ check_cpq(triple(X1,insert_slb(X2,pair(X5,X4)),X3)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-449zl7qr/input.p',i_0_26) ).

cnf(i_0_32,plain,
    triple(insert_pqp(X1,X2),insert_slb(X3,pair(X2,bottom)),X4) = insert_cpq(triple(X1,X3,X4),X2),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-449zl7qr/input.p',i_0_32) ).

cnf(i_0_44,plain,
    less_than(bottom,X1),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-449zl7qr/input.p',i_0_44) ).

cnf(i_0_49,lemma,
    ( less_than(X1,X2)
    | ~ pair_in_list(X3,X2,X1)
    | ~ check_cpq(triple(X4,X3,X5)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-449zl7qr/input.p',i_0_49) ).

cnf(i_0_45,negated_conjecture,
    check_cpq(insert_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-449zl7qr/input.p',i_0_45) ).

cnf(i_0_48,lemma,
    ( check_cpq(triple(X1,X2,X3))
    | pair_in_list(X2,esk5_2(X1,X2),esk6_2(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-449zl7qr/input.p',i_0_48) ).

cnf(i_0_47,lemma,
    ( check_cpq(triple(X1,X2,X3))
    | ~ less_than(esk6_2(X1,X2),esk5_2(X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-449zl7qr/input.p',i_0_47) ).

cnf(i_0_46,negated_conjecture,
    ~ check_cpq(triple(esk1_0,esk2_0,esk3_0)),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-449zl7qr/input.p',i_0_46) ).

cnf(c_0_58,plain,
    ( check_cpq(triple(X1,X2,X3))
    | ~ less_than(X4,X5)
    | ~ check_cpq(triple(X1,insert_slb(X2,pair(X5,X4)),X3)) ),
    i_0_26 ).

cnf(c_0_59,plain,
    triple(insert_pqp(X1,X2),insert_slb(X3,pair(X2,bottom)),X4) = insert_cpq(triple(X1,X3,X4),X2),
    i_0_32 ).

cnf(c_0_60,plain,
    less_than(bottom,X1),
    i_0_44 ).

cnf(c_0_61,lemma,
    ( less_than(X1,X2)
    | ~ pair_in_list(X3,X2,X1)
    | ~ check_cpq(triple(X4,X3,X5)) ),
    i_0_49 ).

cnf(c_0_62,plain,
    ( check_cpq(triple(insert_pqp(X1,X2),X3,X4))
    | ~ check_cpq(insert_cpq(triple(X1,X3,X4),X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).

cnf(c_0_63,lemma,
    ( less_than(X1,X2)
    | ~ pair_in_list(X3,X2,X1)
    | ~ check_cpq(insert_cpq(triple(X4,X3,X5),X6)) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_64,negated_conjecture,
    check_cpq(insert_cpq(triple(esk1_0,esk2_0,esk3_0),esk4_0)),
    i_0_45 ).

cnf(c_0_65,negated_conjecture,
    ( less_than(X1,X2)
    | ~ pair_in_list(esk2_0,X2,X1) ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_66,lemma,
    ( check_cpq(triple(X1,X2,X3))
    | pair_in_list(X2,esk5_2(X1,X2),esk6_2(X1,X2)) ),
    i_0_48 ).

cnf(c_0_67,lemma,
    ( check_cpq(triple(X1,X2,X3))
    | ~ less_than(esk6_2(X1,X2),esk5_2(X1,X2)) ),
    i_0_47 ).

cnf(c_0_68,negated_conjecture,
    ~ check_cpq(triple(esk1_0,esk2_0,esk3_0)),
    i_0_46 ).

cnf(c_0_69,lemma,
    check_cpq(triple(X1,esk2_0,X2)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_66]),c_0_67]) ).

cnf(c_0_70,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_68,c_0_69])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWV390+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.34  % Computer : n024.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 : Tue Jun 14 21:53:20 EDT 2022
% 0.13/0.34  % 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
% 8.99/2.52  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 8.99/2.52  # Version: 2.1pre011
% 8.99/2.52  # Preprocessing time       : 0.018 s
% 8.99/2.52  
% 8.99/2.52  # Proof found!
% 8.99/2.52  # SZS status Theorem
% 8.99/2.52  # SZS output start CNFRefutation
% See solution above
% 8.99/2.52  # Proof object total steps             : 21
% 8.99/2.52  # Proof object clause steps            : 13
% 8.99/2.52  # Proof object formula steps           : 8
% 8.99/2.52  # Proof object conjectures             : 6
% 8.99/2.52  # Proof object clause conjectures      : 4
% 8.99/2.52  # Proof object formula conjectures     : 2
% 8.99/2.52  # Proof object initial clauses used    : 8
% 8.99/2.52  # Proof object initial formulas used   : 8
% 8.99/2.52  # Proof object generating inferences   : 4
% 8.99/2.52  # Proof object simplifying inferences  : 5
% 8.99/2.52  # Training examples: 0 positive, 0 negative
% 8.99/2.52  # Parsed axioms                        : 53
% 8.99/2.52  # Removed by relevancy pruning/SinE    : 0
% 8.99/2.52  # Initial clauses                      : 53
% 8.99/2.52  # Removed in clause preprocessing      : 0
% 8.99/2.52  # Initial clauses in saturation        : 53
% 8.99/2.52  # Processed clauses                    : 122
% 8.99/2.52  # ...of these trivial                  : 1
% 8.99/2.52  # ...subsumed                          : 13
% 8.99/2.52  # ...remaining for further processing  : 108
% 8.99/2.52  # Other redundant clauses eliminated   : 3
% 8.99/2.52  # Clauses deleted for lack of memory   : 0
% 8.99/2.52  # Backward-subsumed                    : 0
% 8.99/2.52  # Backward-rewritten                   : 1
% 8.99/2.52  # Generated clauses                    : 361
% 8.99/2.52  # ...of the previous two non-trivial   : 328
% 8.99/2.52  # Contextual simplify-reflections      : 8
% 8.99/2.52  # Paramodulations                      : 355
% 8.99/2.52  # Factorizations                       : 4
% 8.99/2.52  # Equation resolutions                 : 3
% 8.99/2.52  # Propositional unsat checks           : 0
% 8.99/2.52  # Propositional unsat check successes  : 0
% 8.99/2.52  # Current number of processed clauses  : 105
% 8.99/2.52  #    Positive orientable unit clauses  : 17
% 8.99/2.52  #    Positive unorientable unit clauses: 0
% 8.99/2.52  #    Negative unit clauses             : 12
% 8.99/2.52  #    Non-unit-clauses                  : 76
% 8.99/2.52  # Current number of unprocessed clauses: 259
% 8.99/2.52  # ...number of literals in the above   : 968
% 8.99/2.52  # Current number of archived formulas  : 0
% 8.99/2.52  # Current number of archived clauses   : 1
% 8.99/2.52  # Clause-clause subsumption calls (NU) : 1435
% 8.99/2.52  # Rec. Clause-clause subsumption calls : 787
% 8.99/2.52  # Non-unit clause-clause subsumptions  : 18
% 8.99/2.52  # Unit Clause-clause subsumption calls : 137
% 8.99/2.52  # Rewrite failures with RHS unbound    : 0
% 8.99/2.52  # BW rewrite match attempts            : 7
% 8.99/2.52  # BW rewrite match successes           : 1
% 8.99/2.52  # Condensation attempts                : 0
% 8.99/2.52  # Condensation successes               : 0
% 8.99/2.52  # Termbank termtop insertions          : 6978
% 8.99/2.52  
% 8.99/2.52  # -------------------------------------------------
% 8.99/2.52  # User time                : 0.028 s
% 8.99/2.52  # System time              : 0.003 s
% 8.99/2.52  # Total time               : 0.031 s
% 8.99/2.52  # ...preprocessing         : 0.018 s
% 8.99/2.52  # ...main loop             : 0.013 s
% 8.99/2.52  # Maximum resident set size: 7136 pages
% 8.99/2.52  
%------------------------------------------------------------------------------