TSTP Solution File: MSC012+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : MSC012+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 18:37:34 EDT 2023

% Result   : Theorem 0.22s 0.54s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   8 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   46 (  19   ~;  20   |;   5   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 1-1 aty)
%            Number of variables   :   31 (   2 sgn;  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(left_to_right,axiom,
    ! [X1,X2] :
      ( ( p(X1)
        & less(X1,X2)
        & p(X2) )
     => goal ),
    file('/export/starexec/sandbox2/tmp/tmp.LuWV7QZXmp/E---3.1_30700.p',left_to_right) ).

fof(goal_to_be_proved,conjecture,
    goal,
    file('/export/starexec/sandbox2/tmp/tmp.LuWV7QZXmp/E---3.1_30700.p',goal_to_be_proved) ).

fof(transitive_less,axiom,
    ! [X1,X2,X3] :
      ( ( less(X1,X2)
        & less(X2,X3) )
     => less(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.LuWV7QZXmp/E---3.1_30700.p',transitive_less) ).

fof(right_to_left,axiom,
    ! [X1] :
      ( p(X1)
      | ? [X2] :
          ( less(X1,X2)
          & p(X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.LuWV7QZXmp/E---3.1_30700.p',right_to_left) ).

fof(serial_less,axiom,
    ! [X1] :
    ? [X2] : less(X1,X2),
    file('/export/starexec/sandbox2/tmp/tmp.LuWV7QZXmp/E---3.1_30700.p',serial_less) ).

fof(c_0_5,plain,
    ! [X4,X5] :
      ( ~ p(X4)
      | ~ less(X4,X5)
      | ~ p(X5)
      | goal ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[left_to_right])]) ).

fof(c_0_6,negated_conjecture,
    ~ goal,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goal_to_be_proved])]) ).

fof(c_0_7,plain,
    ! [X8,X9,X10] :
      ( ~ less(X8,X9)
      | ~ less(X9,X10)
      | less(X8,X10) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[transitive_less])]) ).

fof(c_0_8,plain,
    ! [X6] :
      ( ( less(X6,esk1_1(X6))
        | p(X6) )
      & ( p(esk1_1(X6))
        | p(X6) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[right_to_left])])]) ).

cnf(c_0_9,plain,
    ( goal
    | ~ p(X1)
    | ~ less(X1,X2)
    | ~ p(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ~ goal,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( less(X1,X3)
    | ~ less(X1,X2)
    | ~ less(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( less(X1,esk1_1(X1))
    | p(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( ~ less(X1,X2)
    | ~ p(X2)
    | ~ p(X1) ),
    inference(sr,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( less(X1,esk1_1(X2))
    | p(X2)
    | ~ less(X1,X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,plain,
    ( p(esk1_1(X1))
    | p(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_16,plain,
    ! [X11] : less(X11,esk2_1(X11)),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[serial_less])]) ).

cnf(c_0_17,plain,
    ( ~ less(X1,X2)
    | ~ p(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_13]) ).

cnf(c_0_18,plain,
    less(X1,esk2_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,plain,
    ~ p(X1),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_20,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_15,c_0_19]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15  % Problem    : MSC012+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.16  % Command    : run_E %s %d THM
% 0.15/0.38  % Computer : n014.cluster.edu
% 0.15/0.38  % Model    : x86_64 x86_64
% 0.15/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38  % Memory   : 8042.1875MB
% 0.15/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38  % CPULimit   : 2400
% 0.15/0.38  % WCLimit    : 300
% 0.15/0.38  % DateTime   : Mon Oct  2 11:15:50 EDT 2023
% 0.15/0.38  % CPUTime    : 
% 0.22/0.53  Running first-order theorem proving
% 0.22/0.53  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.LuWV7QZXmp/E---3.1_30700.p
% 0.22/0.54  # Version: 3.1pre001
% 0.22/0.54  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.54  # Starting sh5l with 300s (1) cores
% 0.22/0.54  # sh5l with pid 30781 completed with status 0
% 0.22/0.54  # Result found by sh5l
% 0.22/0.54  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.54  # Starting sh5l with 300s (1) cores
% 0.22/0.54  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.54  # Search class: FGUNF-FFSF11-SFFFFFNN
% 0.22/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.54  # Starting SAT001_CO_MinMin_p005000_rr with 181s (1) cores
% 0.22/0.54  # SAT001_CO_MinMin_p005000_rr with pid 30782 completed with status 0
% 0.22/0.54  # Result found by SAT001_CO_MinMin_p005000_rr
% 0.22/0.54  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.22/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.22/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.54  # Starting sh5l with 300s (1) cores
% 0.22/0.54  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.22/0.54  # Search class: FGUNF-FFSF11-SFFFFFNN
% 0.22/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.54  # Starting SAT001_CO_MinMin_p005000_rr with 181s (1) cores
% 0.22/0.54  # Preprocessing time       : 0.001 s
% 0.22/0.54  # Presaturation interreduction done
% 0.22/0.54  
% 0.22/0.54  # Proof found!
% 0.22/0.54  # SZS status Theorem
% 0.22/0.54  # SZS output start CNFRefutation
% See solution above
% 0.22/0.54  # Parsed axioms                        : 5
% 0.22/0.54  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.54  # Initial clauses                      : 6
% 0.22/0.54  # Removed in clause preprocessing      : 0
% 0.22/0.54  # Initial clauses in saturation        : 6
% 0.22/0.54  # Processed clauses                    : 20
% 0.22/0.54  # ...of these trivial                  : 0
% 0.22/0.54  # ...subsumed                          : 0
% 0.22/0.54  # ...remaining for further processing  : 20
% 0.22/0.54  # Other redundant clauses eliminated   : 0
% 0.22/0.54  # Clauses deleted for lack of memory   : 0
% 0.22/0.54  # Backward-subsumed                    : 4
% 0.22/0.54  # Backward-rewritten                   : 0
% 0.22/0.54  # Generated clauses                    : 22
% 0.22/0.54  # ...of the previous two non-redundant : 18
% 0.22/0.54  # ...aggressively subsumed             : 0
% 0.22/0.54  # Contextual simplify-reflections      : 2
% 0.22/0.54  # Paramodulations                      : 20
% 0.22/0.54  # Factorizations                       : 0
% 0.22/0.54  # NegExts                              : 0
% 0.22/0.54  # Equation resolutions                 : 0
% 0.22/0.54  # Total rewrite steps                  : 0
% 0.22/0.54  # Propositional unsat checks           : 0
% 0.22/0.54  #    Propositional check models        : 0
% 0.22/0.54  #    Propositional check unsatisfiable : 0
% 0.22/0.54  #    Propositional clauses             : 0
% 0.22/0.54  #    Propositional clauses after purity: 0
% 0.22/0.54  #    Propositional unsat core size     : 0
% 0.22/0.54  #    Propositional preprocessing time  : 0.000
% 0.22/0.54  #    Propositional encoding time       : 0.000
% 0.22/0.54  #    Propositional solver time         : 0.000
% 0.22/0.54  #    Success case prop preproc time    : 0.000
% 0.22/0.54  #    Success case prop encoding time   : 0.000
% 0.22/0.54  #    Success case prop solver time     : 0.000
% 0.22/0.54  # Current number of processed clauses  : 8
% 0.22/0.54  #    Positive orientable unit clauses  : 1
% 0.22/0.54  #    Positive unorientable unit clauses: 0
% 0.22/0.54  #    Negative unit clauses             : 2
% 0.22/0.54  #    Non-unit-clauses                  : 5
% 0.22/0.54  # Current number of unprocessed clauses: 10
% 0.22/0.54  # ...number of literals in the above   : 27
% 0.22/0.54  # Current number of archived formulas  : 0
% 0.22/0.54  # Current number of archived clauses   : 12
% 0.22/0.54  # Clause-clause subsumption calls (NU) : 30
% 0.22/0.54  # Rec. Clause-clause subsumption calls : 18
% 0.22/0.54  # Non-unit clause-clause subsumptions  : 4
% 0.22/0.54  # Unit Clause-clause subsumption calls : 2
% 0.22/0.54  # Rewrite failures with RHS unbound    : 0
% 0.22/0.54  # BW rewrite match attempts            : 0
% 0.22/0.54  # BW rewrite match successes           : 0
% 0.22/0.54  # Condensation attempts                : 20
% 0.22/0.54  # Condensation successes               : 0
% 0.22/0.54  # Termbank termtop insertions          : 589
% 0.22/0.54  
% 0.22/0.54  # -------------------------------------------------
% 0.22/0.54  # User time                : 0.005 s
% 0.22/0.54  # System time              : 0.000 s
% 0.22/0.54  # Total time               : 0.005 s
% 0.22/0.54  # Maximum resident set size: 1752 pages
% 0.22/0.54  
% 0.22/0.54  # -------------------------------------------------
% 0.22/0.54  # User time                : 0.007 s
% 0.22/0.54  # System time              : 0.001 s
% 0.22/0.54  # Total time               : 0.007 s
% 0.22/0.54  # Maximum resident set size: 1672 pages
% 0.22/0.54  % E---3.1 exiting
% 0.22/0.54  % E---3.1 exiting
%------------------------------------------------------------------------------