TSTP Solution File: HWV021-2 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : HWV021-2 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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  : 300s
% DateTime : Mon May 20 21:36:57 EDT 2024

% Result   : Unsatisfiable 0.17s 0.47s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   27 (  10 unt;   6 nHn;  27 RR)
%            Number of literals    :   65 (   7 equ;  36 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_34,axiom,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_34) ).

cnf(axiom_14,axiom,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_14) ).

cnf(axiom_46,axiom,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_46) ).

cnf(quest_4,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

cnf(axiom_8,axiom,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0 ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_8) ).

cnf(axiom_73,axiom,
    ( X1 = n0
    | ~ p_LES_EQU_(X1,n0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV004-0.ax',axiom_73) ).

cnf(quest_1,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

cnf(quest_3,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

cnf(c_0_8,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
    inference(fof_simplification,[status(thm)],[axiom_34]) ).

cnf(c_0_9,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)) ),
    inference(fof_simplification,[status(thm)],[axiom_14]) ).

cnf(c_0_10,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
    inference(fof_simplification,[status(thm)],[axiom_46]) ).

cnf(c_0_11,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
    c_0_8 ).

cnf(c_0_12,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1)) ),
    c_0_9 ).

cnf(c_0_13,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X1))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
    c_0_10 ).

cnf(c_0_14,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X1)) ),
    inference(csr,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    inference(fof_simplification,[status(thm)],[quest_4]) ).

cnf(c_0_16,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0 ),
    inference(fof_simplification,[status(thm)],[axiom_8]) ).

cnf(c_0_17,plain,
    ( X1 = n0
    | ~ p_LES_EQU_(X1,n0) ),
    inference(fof_simplification,[status(thm)],[axiom_73]) ).

cnf(c_0_18,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X1),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X1,n1)))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X1)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_13,c_0_14]),c_0_12]) ).

cnf(c_0_19,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
    quest_1 ).

cnf(c_0_20,negated_conjecture,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    quest_3 ).

cnf(c_0_21,negated_conjecture,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    c_0_15 ).

cnf(c_0_22,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X1))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(X1) != n0 ),
    c_0_16 ).

cnf(c_0_23,plain,
    ( X1 = n0
    | ~ p_LES_EQU_(X1,n0) ),
    c_0_17 ).

cnf(c_0_24,negated_conjecture,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_25,negated_conjecture,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != n0,
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : HWV021-2 : TPTP v8.2.0. Released v2.5.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sun May 19 12:21:37 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.17/0.45  Running first-order model finding
% 0.17/0.45  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.47  # Version: 3.1.0
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47  # Starting sh5l with 300s (1) cores
% 0.17/0.47  # new_bool_3 with pid 11351 completed with status 0
% 0.17/0.47  # Result found by new_bool_3
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47  # Search class: FGHSS-FFMS21-SFFFFFNN
% 0.17/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.47  # SAT001_MinMin_p005000_rr_RG with pid 11355 completed with status 0
% 0.17/0.47  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.47  # Search class: FGHSS-FFMS21-SFFFFFNN
% 0.17/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.17/0.47  # Preprocessing time       : 0.002 s
% 0.17/0.47  # Presaturation interreduction done
% 0.17/0.47  
% 0.17/0.47  # Proof found!
% 0.17/0.47  # SZS status Unsatisfiable
% 0.17/0.47  # SZS output start CNFRefutation
% See solution above
% 0.17/0.47  # Parsed axioms                        : 137
% 0.17/0.47  # Removed by relevancy pruning/SinE    : 101
% 0.17/0.47  # Initial clauses                      : 36
% 0.17/0.47  # Removed in clause preprocessing      : 0
% 0.17/0.47  # Initial clauses in saturation        : 36
% 0.17/0.47  # Processed clauses                    : 64
% 0.17/0.47  # ...of these trivial                  : 0
% 0.17/0.47  # ...subsumed                          : 2
% 0.17/0.47  # ...remaining for further processing  : 62
% 0.17/0.47  # Other redundant clauses eliminated   : 0
% 0.17/0.47  # Clauses deleted for lack of memory   : 0
% 0.17/0.47  # Backward-subsumed                    : 4
% 0.17/0.47  # Backward-rewritten                   : 1
% 0.17/0.47  # Generated clauses                    : 19
% 0.17/0.47  # ...of the previous two non-redundant : 14
% 0.17/0.47  # ...aggressively subsumed             : 0
% 0.17/0.47  # Contextual simplify-reflections      : 9
% 0.17/0.47  # Paramodulations                      : 18
% 0.17/0.47  # Factorizations                       : 0
% 0.17/0.47  # NegExts                              : 0
% 0.17/0.47  # Equation resolutions                 : 1
% 0.17/0.47  # Disequality decompositions           : 0
% 0.17/0.47  # Total rewrite steps                  : 4
% 0.17/0.47  # ...of those cached                   : 1
% 0.17/0.47  # Propositional unsat checks           : 0
% 0.17/0.47  #    Propositional check models        : 0
% 0.17/0.47  #    Propositional check unsatisfiable : 0
% 0.17/0.47  #    Propositional clauses             : 0
% 0.17/0.47  #    Propositional clauses after purity: 0
% 0.17/0.47  #    Propositional unsat core size     : 0
% 0.17/0.47  #    Propositional preprocessing time  : 0.000
% 0.17/0.47  #    Propositional encoding time       : 0.000
% 0.17/0.47  #    Propositional solver time         : 0.000
% 0.17/0.47  #    Success case prop preproc time    : 0.000
% 0.17/0.47  #    Success case prop encoding time   : 0.000
% 0.17/0.47  #    Success case prop solver time     : 0.000
% 0.17/0.47  # Current number of processed clauses  : 27
% 0.17/0.47  #    Positive orientable unit clauses  : 5
% 0.17/0.47  #    Positive unorientable unit clauses: 0
% 0.17/0.47  #    Negative unit clauses             : 7
% 0.17/0.47  #    Non-unit-clauses                  : 15
% 0.17/0.47  # Current number of unprocessed clauses: 15
% 0.17/0.47  # ...number of literals in the above   : 51
% 0.17/0.47  # Current number of archived formulas  : 0
% 0.17/0.47  # Current number of archived clauses   : 35
% 0.17/0.47  # Clause-clause subsumption calls (NU) : 97
% 0.17/0.47  # Rec. Clause-clause subsumption calls : 35
% 0.17/0.47  # Non-unit clause-clause subsumptions  : 14
% 0.17/0.47  # Unit Clause-clause subsumption calls : 5
% 0.17/0.47  # Rewrite failures with RHS unbound    : 0
% 0.17/0.47  # BW rewrite match attempts            : 1
% 0.17/0.47  # BW rewrite match successes           : 1
% 0.17/0.47  # Condensation attempts                : 0
% 0.17/0.47  # Condensation successes               : 0
% 0.17/0.47  # Termbank termtop insertions          : 3145
% 0.17/0.47  # Search garbage collected termcells   : 503
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.007 s
% 0.17/0.47  # System time              : 0.002 s
% 0.17/0.47  # Total time               : 0.008 s
% 0.17/0.47  # Maximum resident set size: 1880 pages
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.010 s
% 0.17/0.47  # System time              : 0.005 s
% 0.17/0.47  # Total time               : 0.015 s
% 0.17/0.47  # Maximum resident set size: 1804 pages
% 0.17/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------