TSTP Solution File: KRS188+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : KRS188+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : Sat May  4 08:12:30 EDT 2024

% Result   : Theorem 0.23s 0.54s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   5 unt;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :   83 (  28   ~;  32   |;  15   &)
%                                         (   4 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   51 (   0 sgn  31   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(wec,axiom,
    ! [X1,X2] :
      ( ( ? [X3] : model(X3,X1)
        & ! [X4] :
            ( model(X4,X1)
           => model(X4,X2) )
        & ? [X5] :
            ( model(X5,X2)
            & ~ model(X5,X1) ) )
    <=> status(X1,X2,wec) ),
    file('/export/starexec/sandbox/tmp/tmp.oAjkOm4mZL/E---3.1_1791.p',wec) ).

fof(isa,axiom,
    ! [X7,X8] :
      ( ! [X1,X2] :
          ( status(X1,X2,X7)
         => status(X1,X2,X8) )
    <=> isa(X7,X8) ),
    file('/export/starexec/sandbox/tmp/tmp.oAjkOm4mZL/E---3.1_1791.p',isa) ).

fof(thm,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( model(X3,X1)
         => model(X3,X2) )
    <=> status(X1,X2,thm) ),
    file('/export/starexec/sandbox/tmp/tmp.oAjkOm4mZL/E---3.1_1791.p',thm) ).

fof(isa_wec_thm,conjecture,
    isa(wec,thm),
    file('/export/starexec/sandbox/tmp/tmp.oAjkOm4mZL/E---3.1_1791.p',isa_wec_thm) ).

fof(c_0_4,plain,
    ! [X1,X2] :
      ( ( ? [X3] : model(X3,X1)
        & ! [X4] :
            ( model(X4,X1)
           => model(X4,X2) )
        & ? [X5] :
            ( model(X5,X2)
            & ~ model(X5,X1) ) )
    <=> status(X1,X2,wec) ),
    inference(fof_simplification,[status(thm)],[wec]) ).

fof(c_0_5,plain,
    ! [X25,X26,X27,X29,X30,X31,X33] :
      ( ( model(esk4_2(X25,X26),X25)
        | ~ model(X27,X25)
        | ~ model(X29,X26)
        | model(X29,X25)
        | status(X25,X26,wec) )
      & ( ~ model(esk4_2(X25,X26),X26)
        | ~ model(X27,X25)
        | ~ model(X29,X26)
        | model(X29,X25)
        | status(X25,X26,wec) )
      & ( model(esk5_2(X30,X31),X30)
        | ~ status(X30,X31,wec) )
      & ( ~ model(X33,X30)
        | model(X33,X31)
        | ~ status(X30,X31,wec) )
      & ( model(esk6_2(X30,X31),X31)
        | ~ status(X30,X31,wec) )
      & ( ~ model(esk6_2(X30,X31),X30)
        | ~ status(X30,X31,wec) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])])])])]) ).

fof(c_0_6,plain,
    ! [X11,X12,X15,X16,X17,X18] :
      ( ( status(esk1_2(X11,X12),esk2_2(X11,X12),X11)
        | isa(X11,X12) )
      & ( ~ status(esk1_2(X11,X12),esk2_2(X11,X12),X12)
        | isa(X11,X12) )
      & ( ~ isa(X15,X16)
        | ~ status(X17,X18,X15)
        | status(X17,X18,X16) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[isa])])])])])])]) ).

fof(c_0_7,plain,
    ! [X19,X20,X22,X23,X24] :
      ( ( model(esk3_2(X19,X20),X19)
        | status(X19,X20,thm) )
      & ( ~ model(esk3_2(X19,X20),X20)
        | status(X19,X20,thm) )
      & ( ~ status(X22,X23,thm)
        | ~ model(X24,X22)
        | model(X24,X23) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm])])])])])])]) ).

cnf(c_0_8,plain,
    ( model(X1,X3)
    | ~ model(X1,X2)
    | ~ status(X2,X3,wec) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( status(esk1_2(X1,X2),esk2_2(X1,X2),X1)
    | isa(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( status(X1,X2,thm)
    | ~ model(esk3_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( isa(wec,X1)
    | model(X2,esk2_2(wec,X1))
    | ~ model(X2,esk1_2(wec,X1)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

fof(c_0_12,negated_conjecture,
    ~ isa(wec,thm),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[isa_wec_thm])]) ).

cnf(c_0_13,plain,
    ( isa(wec,X1)
    | status(X2,esk2_2(wec,X1),thm)
    | ~ model(esk3_2(X2,esk2_2(wec,X1)),esk1_2(wec,X1)) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    ( model(esk3_2(X1,X2),X1)
    | status(X1,X2,thm) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_15,negated_conjecture,
    ~ isa(wec,thm),
    inference(fof_nnf,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( isa(X1,X2)
    | ~ status(esk1_2(X1,X2),esk2_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17,plain,
    ( isa(wec,X1)
    | status(esk1_2(wec,X1),esk2_2(wec,X1),thm) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    ~ isa(wec,thm),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13  % Problem    : KRS188+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.14/0.15  % Command    : run_E %s %d THM
% 0.16/0.36  % Computer : n029.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 14:02:22 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.23/0.50  Running first-order theorem proving
% 0.23/0.50  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.oAjkOm4mZL/E---3.1_1791.p
% 0.23/0.54  # Version: 3.1.0
% 0.23/0.54  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.54  # Starting sh5l with 300s (1) cores
% 0.23/0.54  # new_bool_3 with pid 1878 completed with status 0
% 0.23/0.54  # Result found by new_bool_3
% 0.23/0.54  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.54  # Search class: FGHNF-FFSM22-SFFFFFNN
% 0.23/0.54  # partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.23/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.23/0.54  # SAT001_MinMin_p005000_rr_RG with pid 1882 completed with status 0
% 0.23/0.54  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.23/0.54  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.54  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.54  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.54  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.54  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.54  # Search class: FGHNF-FFSM22-SFFFFFNN
% 0.23/0.54  # partial match(1): FGHNF-FFSF22-SFFFFFNN
% 0.23/0.54  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.23/0.54  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.23/0.54  # Preprocessing time       : 0.003 s
% 0.23/0.54  # Presaturation interreduction done
% 0.23/0.54  
% 0.23/0.54  # Proof found!
% 0.23/0.54  # SZS status Theorem
% 0.23/0.54  # SZS output start CNFRefutation
% See solution above
% 0.23/0.54  # Parsed axioms                        : 33
% 0.23/0.54  # Removed by relevancy pruning/SinE    : 23
% 0.23/0.54  # Initial clauses                      : 28
% 0.23/0.54  # Removed in clause preprocessing      : 0
% 0.23/0.54  # Initial clauses in saturation        : 28
% 0.23/0.54  # Processed clauses                    : 256
% 0.23/0.54  # ...of these trivial                  : 0
% 0.23/0.54  # ...subsumed                          : 89
% 0.23/0.54  # ...remaining for further processing  : 167
% 0.23/0.54  # Other redundant clauses eliminated   : 0
% 0.23/0.54  # Clauses deleted for lack of memory   : 0
% 0.23/0.54  # Backward-subsumed                    : 9
% 0.23/0.54  # Backward-rewritten                   : 7
% 0.23/0.54  # Generated clauses                    : 701
% 0.23/0.54  # ...of the previous two non-redundant : 589
% 0.23/0.54  # ...aggressively subsumed             : 0
% 0.23/0.54  # Contextual simplify-reflections      : 7
% 0.23/0.54  # Paramodulations                      : 701
% 0.23/0.54  # Factorizations                       : 0
% 0.23/0.54  # NegExts                              : 0
% 0.23/0.54  # Equation resolutions                 : 0
% 0.23/0.54  # Disequality decompositions           : 0
% 0.23/0.54  # Total rewrite steps                  : 139
% 0.23/0.54  # ...of those cached                   : 106
% 0.23/0.54  # Propositional unsat checks           : 0
% 0.23/0.54  #    Propositional check models        : 0
% 0.23/0.54  #    Propositional check unsatisfiable : 0
% 0.23/0.54  #    Propositional clauses             : 0
% 0.23/0.54  #    Propositional clauses after purity: 0
% 0.23/0.54  #    Propositional unsat core size     : 0
% 0.23/0.54  #    Propositional preprocessing time  : 0.000
% 0.23/0.54  #    Propositional encoding time       : 0.000
% 0.23/0.54  #    Propositional solver time         : 0.000
% 0.23/0.54  #    Success case prop preproc time    : 0.000
% 0.23/0.54  #    Success case prop encoding time   : 0.000
% 0.23/0.54  #    Success case prop solver time     : 0.000
% 0.23/0.54  # Current number of processed clauses  : 123
% 0.23/0.54  #    Positive orientable unit clauses  : 15
% 0.23/0.54  #    Positive unorientable unit clauses: 0
% 0.23/0.54  #    Negative unit clauses             : 12
% 0.23/0.54  #    Non-unit-clauses                  : 96
% 0.23/0.54  # Current number of unprocessed clauses: 346
% 0.23/0.54  # ...number of literals in the above   : 1531
% 0.23/0.54  # Current number of archived formulas  : 0
% 0.23/0.54  # Current number of archived clauses   : 44
% 0.23/0.54  # Clause-clause subsumption calls (NU) : 1159
% 0.23/0.54  # Rec. Clause-clause subsumption calls : 791
% 0.23/0.54  # Non-unit clause-clause subsumptions  : 101
% 0.23/0.54  # Unit Clause-clause subsumption calls : 75
% 0.23/0.54  # Rewrite failures with RHS unbound    : 0
% 0.23/0.54  # BW rewrite match attempts            : 19
% 0.23/0.54  # BW rewrite match successes           : 2
% 0.23/0.54  # Condensation attempts                : 0
% 0.23/0.54  # Condensation successes               : 0
% 0.23/0.54  # Termbank termtop insertions          : 13824
% 0.23/0.54  # Search garbage collected termcells   : 588
% 0.23/0.54  
% 0.23/0.54  # -------------------------------------------------
% 0.23/0.54  # User time                : 0.021 s
% 0.23/0.54  # System time              : 0.006 s
% 0.23/0.54  # Total time               : 0.027 s
% 0.23/0.54  # Maximum resident set size: 1908 pages
% 0.23/0.54  
% 0.23/0.54  # -------------------------------------------------
% 0.23/0.54  # User time                : 0.022 s
% 0.23/0.54  # System time              : 0.009 s
% 0.23/0.54  # Total time               : 0.032 s
% 0.23/0.54  # Maximum resident set size: 1752 pages
% 0.23/0.54  % E---3.1 exiting
% 0.23/0.54  % E exiting
%------------------------------------------------------------------------------