TSTP Solution File: KRS179+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : KRS179+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Sat May  4 08:12:28 EDT 2024

% Result   : Theorem 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   42 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   40 (  14   ~;  16   |;   6   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   34 (   0 sgn  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(isa,axiom,
    ! [X1,X2] :
      ( ! [X3,X4] :
          ( status(X3,X4,X1)
         => status(X3,X4,X2) )
    <=> isa(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.te7pa3Cwiw/E---3.1_9953.p',isa) ).

fof(isa_transitive,conjecture,
    ! [X1,X2,X11] :
      ( ( isa(X1,X2)
        & isa(X2,X11) )
     => isa(X1,X11) ),
    file('/export/starexec/sandbox/tmp/tmp.te7pa3Cwiw/E---3.1_9953.p',isa_transitive) ).

fof(c_0_2,plain,
    ! [X15,X16,X19,X20,X21,X22] :
      ( ( status(esk4_2(X15,X16),esk5_2(X15,X16),X15)
        | isa(X15,X16) )
      & ( ~ status(esk4_2(X15,X16),esk5_2(X15,X16),X16)
        | isa(X15,X16) )
      & ( ~ isa(X19,X20)
        | ~ status(X21,X22,X19)
        | status(X21,X22,X20) ) ),
    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])])])])])])]) ).

cnf(c_0_3,plain,
    ( status(X3,X4,X2)
    | ~ isa(X1,X2)
    | ~ status(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,plain,
    ( status(esk4_2(X1,X2),esk5_2(X1,X2),X1)
    | isa(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1,X2,X11] :
        ( ( isa(X1,X2)
          & isa(X2,X11) )
       => isa(X1,X11) ),
    inference(assume_negation,[status(cth)],[isa_transitive]) ).

cnf(c_0_6,plain,
    ( isa(X1,X2)
    | status(esk4_2(X1,X2),esk5_2(X1,X2),X3)
    | ~ isa(X1,X3) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

fof(c_0_7,negated_conjecture,
    ( isa(esk1_0,esk2_0)
    & isa(esk2_0,esk3_0)
    & ~ isa(esk1_0,esk3_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).

cnf(c_0_8,plain,
    ( isa(X1,X2)
    | status(esk4_2(X1,X2),esk5_2(X1,X2),X3)
    | ~ isa(X4,X3)
    | ~ isa(X1,X4) ),
    inference(spm,[status(thm)],[c_0_3,c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    isa(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( isa(X1,X2)
    | ~ status(esk4_2(X1,X2),esk5_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    ( isa(X1,X2)
    | status(esk4_2(X1,X2),esk5_2(X1,X2),esk3_0)
    | ~ isa(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ~ isa(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,negated_conjecture,
    ( isa(X1,esk3_0)
    | ~ isa(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    isa(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : KRS179+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.00/0.10  % Command    : run_E %s %d THM
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.30  % DateTime   : Fri May  3 13:45:54 EDT 2024
% 0.11/0.30  % CPUTime    : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  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.te7pa3Cwiw/E---3.1_9953.p
% 0.16/0.44  # Version: 3.1.0
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # new_bool_1 with pid 10033 completed with status 0
% 0.16/0.44  # Result found by new_bool_1
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: FGUNF-FFSF22-SFFFFFNN
% 0.16/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.44  # SAT001_MinMin_p005000_rr_RG with pid 10036 completed with status 0
% 0.16/0.44  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: FGUNF-FFSF22-SFFFFFNN
% 0.16/0.44  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.001 s
% 0.16/0.44  # Presaturation interreduction done
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Theorem
% 0.16/0.44  # SZS output start CNFRefutation
% See solution above
% 0.16/0.44  # Parsed axioms                        : 14
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 12
% 0.16/0.44  # Initial clauses                      : 6
% 0.16/0.44  # Removed in clause preprocessing      : 0
% 0.16/0.44  # Initial clauses in saturation        : 6
% 0.16/0.44  # Processed clauses                    : 18
% 0.16/0.44  # ...of these trivial                  : 0
% 0.16/0.44  # ...subsumed                          : 0
% 0.16/0.44  # ...remaining for further processing  : 18
% 0.16/0.44  # Other redundant clauses eliminated   : 0
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 0
% 0.16/0.44  # Backward-rewritten                   : 0
% 0.16/0.44  # Generated clauses                    : 13
% 0.16/0.44  # ...of the previous two non-redundant : 10
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 0
% 0.16/0.44  # Paramodulations                      : 13
% 0.16/0.44  # Factorizations                       : 0
% 0.16/0.44  # NegExts                              : 0
% 0.16/0.44  # Equation resolutions                 : 0
% 0.16/0.44  # Disequality decompositions           : 0
% 0.16/0.44  # Total rewrite steps                  : 1
% 0.16/0.44  # ...of those cached                   : 0
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 12
% 0.16/0.44  #    Positive orientable unit clauses  : 3
% 0.16/0.44  #    Positive unorientable unit clauses: 0
% 0.16/0.44  #    Negative unit clauses             : 1
% 0.16/0.44  #    Non-unit-clauses                  : 8
% 0.16/0.44  # Current number of unprocessed clauses: 4
% 0.16/0.44  # ...number of literals in the above   : 13
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 6
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 21
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 15
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.44  # Unit Clause-clause subsumption calls : 2
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 5
% 0.16/0.44  # BW rewrite match successes           : 0
% 0.16/0.44  # Condensation attempts                : 0
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 706
% 0.16/0.44  # Search garbage collected termcells   : 223
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.004 s
% 0.16/0.44  # System time              : 0.000 s
% 0.16/0.44  # Total time               : 0.004 s
% 0.16/0.44  # Maximum resident set size: 1744 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.004 s
% 0.16/0.44  # System time              : 0.002 s
% 0.16/0.44  # Total time               : 0.006 s
% 0.16/0.44  # Maximum resident set size: 1704 pages
% 0.16/0.44  % E---3.1 exiting
% 0.16/0.44  % E exiting
%------------------------------------------------------------------------------