TSTP Solution File: HWV010-1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : HWV010-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n001.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 17:51:10 EDT 2023

% Result   : Unsatisfiable 0.37s 0.57s
% Output   : CNFRefutation 0.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   5 unt;   2 nHn;  11 RR)
%            Number of literals    :   21 (  11 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(quest_2,negated_conjecture,
    ( p_Empty(t_139)
    | level(t_139) = n0 ),
    file('/export/starexec/sandbox2/tmp/tmp.8J0IjNlynb/E---3.1_29021.p',quest_2) ).

cnf(axiom_21,axiom,
    level(X1) = int_level(X1),
    file('/export/starexec/sandbox2/tmp/tmp.8J0IjNlynb/E---3.1_29021.p',axiom_21) ).

cnf(axiom_24,axiom,
    ( p_Empty(X1)
    | int_level(X1) != n0 ),
    file('/export/starexec/sandbox2/tmp/tmp.8J0IjNlynb/E---3.1_29021.p',axiom_24) ).

cnf(quest_1,negated_conjecture,
    ( ~ p_Empty(t_139)
    | level(t_139) != n0 ),
    file('/export/starexec/sandbox2/tmp/tmp.8J0IjNlynb/E---3.1_29021.p',quest_1) ).

cnf(axiom_25,axiom,
    ( int_level(X1) = n0
    | ~ p_Empty(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.8J0IjNlynb/E---3.1_29021.p',axiom_25) ).

cnf(c_0_5,negated_conjecture,
    ( p_Empty(t_139)
    | level(t_139) = n0 ),
    quest_2 ).

cnf(c_0_6,axiom,
    level(X1) = int_level(X1),
    axiom_21 ).

cnf(c_0_7,axiom,
    ( p_Empty(X1)
    | int_level(X1) != n0 ),
    axiom_24 ).

cnf(c_0_8,negated_conjecture,
    ( ~ p_Empty(t_139)
    | level(t_139) != n0 ),
    quest_1 ).

cnf(c_0_9,negated_conjecture,
    p_Empty(t_139),
    inference(csr,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).

cnf(c_0_10,axiom,
    ( int_level(X1) = n0
    | ~ p_Empty(X1) ),
    axiom_25 ).

cnf(c_0_11,negated_conjecture,
    int_level(t_139) != n0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_6]),c_0_9])]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_9]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : HWV010-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.15  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n001.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 2400
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Tue Oct  3 06:23:22 EDT 2023
% 0.15/0.37  % CPUTime    : 
% 0.35/0.55  Running first-order theorem proving
% 0.35/0.55  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.8J0IjNlynb/E---3.1_29021.p
% 0.37/0.57  # Version: 3.1pre001
% 0.37/0.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.37/0.57  # Starting sh5l with 300s (1) cores
% 0.37/0.57  # new_bool_1 with pid 29101 completed with status 0
% 0.37/0.57  # Result found by new_bool_1
% 0.37/0.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.37/0.57  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.57  # Search class: FGHSS-FFMF21-SFFFFFNN
% 0.37/0.57  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.57  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.37/0.57  # SAT001_MinMin_p005000_rr_RG with pid 29104 completed with status 0
% 0.37/0.57  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.37/0.57  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.37/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.37/0.57  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.37/0.57  # Starting new_bool_3 with 300s (1) cores
% 0.37/0.57  # Starting new_bool_1 with 300s (1) cores
% 0.37/0.57  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.37/0.57  # Search class: FGHSS-FFMF21-SFFFFFNN
% 0.37/0.57  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.37/0.57  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.37/0.57  # Preprocessing time       : 0.001 s
% 0.37/0.57  # Presaturation interreduction done
% 0.37/0.57  
% 0.37/0.57  # Proof found!
% 0.37/0.57  # SZS status Unsatisfiable
% 0.37/0.57  # SZS output start CNFRefutation
% See solution above
% 0.37/0.57  # Parsed axioms                        : 92
% 0.37/0.57  # Removed by relevancy pruning/SinE    : 68
% 0.37/0.57  # Initial clauses                      : 24
% 0.37/0.57  # Removed in clause preprocessing      : 0
% 0.37/0.57  # Initial clauses in saturation        : 24
% 0.37/0.57  # Processed clauses                    : 35
% 0.37/0.57  # ...of these trivial                  : 1
% 0.37/0.57  # ...subsumed                          : 1
% 0.37/0.57  # ...remaining for further processing  : 33
% 0.37/0.57  # Other redundant clauses eliminated   : 0
% 0.37/0.57  # Clauses deleted for lack of memory   : 0
% 0.37/0.57  # Backward-subsumed                    : 0
% 0.37/0.57  # Backward-rewritten                   : 2
% 0.37/0.57  # Generated clauses                    : 3
% 0.37/0.57  # ...of the previous two non-redundant : 3
% 0.37/0.57  # ...aggressively subsumed             : 0
% 0.37/0.57  # Contextual simplify-reflections      : 2
% 0.37/0.57  # Paramodulations                      : 3
% 0.37/0.57  # Factorizations                       : 0
% 0.37/0.57  # NegExts                              : 0
% 0.37/0.57  # Equation resolutions                 : 0
% 0.37/0.57  # Total rewrite steps                  : 4
% 0.37/0.57  # Propositional unsat checks           : 0
% 0.37/0.57  #    Propositional check models        : 0
% 0.37/0.57  #    Propositional check unsatisfiable : 0
% 0.37/0.57  #    Propositional clauses             : 0
% 0.37/0.57  #    Propositional clauses after purity: 0
% 0.37/0.57  #    Propositional unsat core size     : 0
% 0.37/0.57  #    Propositional preprocessing time  : 0.000
% 0.37/0.57  #    Propositional encoding time       : 0.000
% 0.37/0.57  #    Propositional solver time         : 0.000
% 0.37/0.57  #    Success case prop preproc time    : 0.000
% 0.37/0.57  #    Success case prop encoding time   : 0.000
% 0.37/0.57  #    Success case prop solver time     : 0.000
% 0.37/0.57  # Current number of processed clauses  : 9
% 0.37/0.57  #    Positive orientable unit clauses  : 3
% 0.37/0.57  #    Positive unorientable unit clauses: 0
% 0.37/0.57  #    Negative unit clauses             : 4
% 0.37/0.57  #    Non-unit-clauses                  : 2
% 0.37/0.57  # Current number of unprocessed clauses: 14
% 0.37/0.57  # ...number of literals in the above   : 41
% 0.37/0.57  # Current number of archived formulas  : 0
% 0.37/0.57  # Current number of archived clauses   : 24
% 0.37/0.57  # Clause-clause subsumption calls (NU) : 67
% 0.37/0.57  # Rec. Clause-clause subsumption calls : 10
% 0.37/0.57  # Non-unit clause-clause subsumptions  : 3
% 0.37/0.57  # Unit Clause-clause subsumption calls : 1
% 0.37/0.57  # Rewrite failures with RHS unbound    : 0
% 0.37/0.57  # BW rewrite match attempts            : 1
% 0.37/0.57  # BW rewrite match successes           : 1
% 0.37/0.57  # Condensation attempts                : 0
% 0.37/0.57  # Condensation successes               : 0
% 0.37/0.57  # Termbank termtop insertions          : 1768
% 0.37/0.57  
% 0.37/0.57  # -------------------------------------------------
% 0.37/0.57  # User time                : 0.004 s
% 0.37/0.57  # System time              : 0.001 s
% 0.37/0.57  # Total time               : 0.005 s
% 0.37/0.57  # Maximum resident set size: 1768 pages
% 0.37/0.57  
% 0.37/0.57  # -------------------------------------------------
% 0.37/0.57  # User time                : 0.007 s
% 0.37/0.57  # System time              : 0.004 s
% 0.37/0.57  # Total time               : 0.010 s
% 0.37/0.57  # Maximum resident set size: 1736 pages
% 0.37/0.57  % E---3.1 exiting
% 0.37/0.57  % E---3.1 exiting
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