TSTP Solution File: SWV408+2 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV408+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 17:47:08 EDT 2022

% Result   : Theorem 11.27s 3.14s
% Output   : CNFRefutation 11.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (   6 unt;   7 nHn;  18 RR)
%            Number of literals    :   48 (   0 equ;  24 neg)
%            Maximal clause size   :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_50,lemma,
    ( pair_in_list(update_slb(X1,X2),X3,X2)
    | ~ strictly_less_than(X4,X2)
    | ~ pair_in_list(X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-686x860e/input.p',i_0_50) ).

cnf(i_0_49,lemma,
    ( pair_in_list(X1,X2,esk5_2(X1,X2))
    | ~ contains_slb(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-686x860e/input.p',i_0_49) ).

cnf(i_0_53,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-686x860e/input.p',i_0_53) ).

cnf(i_0_56,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-686x860e/input.p',i_0_56) ).

cnf(i_0_45,negated_conjecture,
    ( ~ less_than(findmin_pqp_res(esk1_0),X1)
    | ~ pair_in_list(update_slb(esk2_0,findmin_pqp_res(esk1_0)),esk4_0,X1) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-686x860e/input.p',i_0_45) ).

cnf(i_0_51,lemma,
    ( pair_in_list(update_slb(X1,X2),X3,X4)
    | ~ less_than(X2,X4)
    | ~ pair_in_list(X1,X3,X4) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-686x860e/input.p',i_0_51) ).

cnf(i_0_48,negated_conjecture,
    contains_slb(esk2_0,esk4_0),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-686x860e/input.p',i_0_48) ).

cnf(i_0_46,negated_conjecture,
    ~ pair_in_list(update_slb(esk2_0,findmin_pqp_res(esk1_0)),esk4_0,findmin_pqp_res(esk1_0)),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-686x860e/input.p',i_0_46) ).

cnf(c_0_65,lemma,
    ( pair_in_list(update_slb(X1,X2),X3,X2)
    | ~ strictly_less_than(X4,X2)
    | ~ pair_in_list(X1,X3,X4) ),
    i_0_50 ).

cnf(c_0_66,lemma,
    ( pair_in_list(X1,X2,esk5_2(X1,X2))
    | ~ contains_slb(X1,X2) ),
    i_0_49 ).

cnf(c_0_67,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1)
    | ~ less_than(X1,X2) ),
    i_0_53 ).

cnf(c_0_68,plain,
    ( less_than(X1,X2)
    | less_than(X2,X1) ),
    i_0_56 ).

cnf(c_0_69,lemma,
    ( pair_in_list(update_slb(X1,X2),X3,X2)
    | ~ strictly_less_than(esk5_2(X1,X3),X2)
    | ~ contains_slb(X1,X3) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_70,plain,
    ( strictly_less_than(X1,X2)
    | less_than(X2,X1) ),
    inference(csr,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_71,negated_conjecture,
    ( ~ less_than(findmin_pqp_res(esk1_0),X1)
    | ~ pair_in_list(update_slb(esk2_0,findmin_pqp_res(esk1_0)),esk4_0,X1) ),
    i_0_45 ).

cnf(c_0_72,lemma,
    ( pair_in_list(update_slb(X1,X2),X3,X4)
    | ~ less_than(X2,X4)
    | ~ pair_in_list(X1,X3,X4) ),
    i_0_51 ).

cnf(c_0_73,plain,
    ( pair_in_list(update_slb(X1,X2),X3,X2)
    | less_than(X2,esk5_2(X1,X3))
    | ~ contains_slb(X1,X3) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_74,negated_conjecture,
    contains_slb(esk2_0,esk4_0),
    i_0_48 ).

cnf(c_0_75,negated_conjecture,
    ( ~ pair_in_list(esk2_0,esk4_0,X1)
    | ~ less_than(findmin_pqp_res(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_72]) ).

cnf(c_0_76,negated_conjecture,
    ( pair_in_list(update_slb(esk2_0,X1),esk4_0,X1)
    | less_than(X1,esk5_2(esk2_0,esk4_0)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_77,negated_conjecture,
    ~ pair_in_list(update_slb(esk2_0,findmin_pqp_res(esk1_0)),esk4_0,findmin_pqp_res(esk1_0)),
    i_0_46 ).

cnf(c_0_78,negated_conjecture,
    ~ pair_in_list(esk2_0,esk4_0,esk5_2(esk2_0,esk4_0)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).

cnf(c_0_79,lemma,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_66]),c_0_74])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SWV408+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.31  % Computer : n032.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 600
% 0.10/0.31  % DateTime : Wed Jun 15 16:39:15 EDT 2022
% 0.10/0.31  % CPUTime  : 
% 0.15/0.40  # ENIGMATIC: Selected SinE mode:
% 0.15/0.41  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.41  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.15/0.41  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.15/0.41  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 11.27/3.14  # ENIGMATIC: Solved by G_E___302_C18_F1_URBAN_S5PRR_RG_S04BN:
% 11.27/3.14  # Version: 2.1pre011
% 11.27/3.14  # Preprocessing time       : 0.019 s
% 11.27/3.14  
% 11.27/3.14  # Proof found!
% 11.27/3.14  # SZS status Theorem
% 11.27/3.14  # SZS output start CNFRefutation
% See solution above
% 11.27/3.14  # Proof object total steps             : 23
% 11.27/3.14  # Proof object clause steps            : 15
% 11.27/3.14  # Proof object formula steps           : 8
% 11.27/3.14  # Proof object conjectures             : 9
% 11.27/3.14  # Proof object clause conjectures      : 6
% 11.27/3.14  # Proof object formula conjectures     : 3
% 11.27/3.14  # Proof object initial clauses used    : 8
% 11.27/3.14  # Proof object initial formulas used   : 8
% 11.27/3.14  # Proof object generating inferences   : 6
% 11.27/3.14  # Proof object simplifying inferences  : 4
% 11.27/3.14  # Training examples: 0 positive, 0 negative
% 11.27/3.14  # Parsed axioms                        : 55
% 11.27/3.14  # Removed by relevancy pruning/SinE    : 0
% 11.27/3.14  # Initial clauses                      : 55
% 11.27/3.14  # Removed in clause preprocessing      : 0
% 11.27/3.14  # Initial clauses in saturation        : 55
% 11.27/3.14  # Processed clauses                    : 135
% 11.27/3.14  # ...of these trivial                  : 0
% 11.27/3.14  # ...subsumed                          : 28
% 11.27/3.14  # ...remaining for further processing  : 107
% 11.27/3.14  # Other redundant clauses eliminated   : 3
% 11.27/3.14  # Clauses deleted for lack of memory   : 0
% 11.27/3.14  # Backward-subsumed                    : 0
% 11.27/3.14  # Backward-rewritten                   : 0
% 11.27/3.14  # Generated clauses                    : 339
% 11.27/3.14  # ...of the previous two non-trivial   : 293
% 11.27/3.14  # Contextual simplify-reflections      : 6
% 11.27/3.14  # Paramodulations                      : 323
% 11.27/3.14  # Factorizations                       : 14
% 11.27/3.14  # Equation resolutions                 : 3
% 11.27/3.14  # Propositional unsat checks           : 0
% 11.27/3.14  # Propositional unsat check successes  : 0
% 11.27/3.14  # Current number of processed clauses  : 105
% 11.27/3.14  #    Positive orientable unit clauses  : 17
% 11.27/3.14  #    Positive unorientable unit clauses: 0
% 11.27/3.14  #    Negative unit clauses             : 11
% 11.27/3.14  #    Non-unit-clauses                  : 77
% 11.27/3.14  # Current number of unprocessed clauses: 213
% 11.27/3.14  # ...number of literals in the above   : 757
% 11.27/3.14  # Current number of archived formulas  : 0
% 11.27/3.14  # Current number of archived clauses   : 0
% 11.27/3.14  # Clause-clause subsumption calls (NU) : 1089
% 11.27/3.14  # Rec. Clause-clause subsumption calls : 889
% 11.27/3.14  # Non-unit clause-clause subsumptions  : 28
% 11.27/3.14  # Unit Clause-clause subsumption calls : 196
% 11.27/3.14  # Rewrite failures with RHS unbound    : 0
% 11.27/3.14  # BW rewrite match attempts            : 6
% 11.27/3.14  # BW rewrite match successes           : 0
% 11.27/3.14  # Condensation attempts                : 0
% 11.27/3.14  # Condensation successes               : 0
% 11.27/3.14  # Termbank termtop insertions          : 5684
% 11.27/3.14  
% 11.27/3.14  # -------------------------------------------------
% 11.27/3.14  # User time                : 0.025 s
% 11.27/3.14  # System time              : 0.004 s
% 11.27/3.14  # Total time               : 0.029 s
% 11.27/3.14  # ...preprocessing         : 0.019 s
% 11.27/3.14  # ...main loop             : 0.010 s
% 11.27/3.14  # Maximum resident set size: 7132 pages
% 11.27/3.14  
%------------------------------------------------------------------------------