TSTP Solution File: KRS264+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KRS264+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n018.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  : 600s
% DateTime : Sun Jul 17 03:00:13 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   34 (  12 unt;   0 def)
%            Number of atoms       :  122 (   0 equ)
%            Maximal formula atoms :   23 (   3 avg)
%            Number of connectives :  139 (  51   ~;  59   |;  23   &)
%                                         (   3 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   7 con; 0-2 aty)
%            Number of variables   :   78 (  23 sgn  29   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thm,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( model(X3,X1)
         => model(X3,X2) )
    <=> status(X1,X2,thm) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).

fof(mixed_pair,axiom,
    ? [X1,X2] :
      ( ? [X3] : model(X3,X1)
      & ! [X4] :
          ( model(X4,X1)
         => model(X4,X2) )
      & ? [X5] :
          ( ~ model(X5,X1)
          & model(X5,X2) )
      & ? [X6] : ~ model(X6,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mixed_pair) ).

fof(mighta_wth_thm,conjecture,
    mighta(wth,thm),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',mighta_wth_thm) ).

fof(mighta,axiom,
    ! [X7,X8] :
      ( ? [X1,X2] :
          ( status(X1,X2,X7)
          & status(X1,X2,X8) )
    <=> mighta(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',mighta) ).

fof(wth,axiom,
    ! [X1,X2] :
      ( ( ? [X3] : model(X3,X1)
        & ! [X4] :
            ( model(X4,X1)
           => model(X4,X2) )
        & ? [X5] :
            ( model(X5,X2)
            & ~ model(X5,X1) )
        & ? [X6] : ~ model(X6,X2) )
    <=> status(X1,X2,wth) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',wth) ).

fof(c_0_5,plain,
    ! [X4,X5,X4,X5,X7] :
      ( ( model(esk3_2(X4,X5),X4)
        | status(X4,X5,thm) )
      & ( ~ model(esk3_2(X4,X5),X5)
        | status(X4,X5,thm) )
      & ( ~ status(X4,X5,thm)
        | ~ model(X7,X4)
        | model(X7,X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[thm])])])])])])]) ).

fof(c_0_6,plain,
    ! [X10] :
      ( model(esk20_0,esk18_0)
      & ( ~ model(X10,esk18_0)
        | model(X10,esk19_0) )
      & ~ model(esk21_0,esk18_0)
      & model(esk21_0,esk19_0)
      & ~ model(esk22_0,esk19_0) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[mixed_pair])])])])])])]) ).

cnf(c_0_7,plain,
    ( status(X1,X2,thm)
    | ~ model(esk3_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( model(X1,esk19_0)
    | ~ model(X1,esk18_0) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,negated_conjecture,
    ~ mighta(wth,thm),
    inference(assume_negation,[status(cth)],[mighta_wth_thm]) ).

fof(c_0_10,plain,
    ! [X9,X10,X11,X12,X9,X10] :
      ( ( ~ status(X11,X12,X9)
        | ~ status(X11,X12,X10)
        | mighta(X9,X10) )
      & ( status(esk1_2(X9,X10),esk2_2(X9,X10),X9)
        | ~ mighta(X9,X10) )
      & ( status(esk1_2(X9,X10),esk2_2(X9,X10),X10)
        | ~ mighta(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mighta])])])])])])]) ).

cnf(c_0_11,plain,
    ( status(X1,esk19_0,thm)
    | ~ model(esk3_2(X1,esk19_0),esk18_0) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    ( status(X1,X2,thm)
    | model(esk3_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_13,plain,
    ! [X7,X8,X9,X11,X12,X7,X8,X14] :
      ( ( model(esk4_2(X7,X8),X7)
        | ~ model(X9,X7)
        | ~ model(X11,X8)
        | model(X11,X7)
        | model(X12,X8)
        | status(X7,X8,wth) )
      & ( ~ model(esk4_2(X7,X8),X8)
        | ~ model(X9,X7)
        | ~ model(X11,X8)
        | model(X11,X7)
        | model(X12,X8)
        | status(X7,X8,wth) )
      & ( model(esk5_2(X7,X8),X7)
        | ~ status(X7,X8,wth) )
      & ( ~ model(X14,X7)
        | model(X14,X8)
        | ~ status(X7,X8,wth) )
      & ( model(esk6_2(X7,X8),X8)
        | ~ status(X7,X8,wth) )
      & ( ~ model(esk6_2(X7,X8),X7)
        | ~ status(X7,X8,wth) )
      & ( ~ model(esk7_2(X7,X8),X8)
        | ~ status(X7,X8,wth) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[wth])])])])])])])]) ).

fof(c_0_14,negated_conjecture,
    ~ mighta(wth,thm),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( mighta(X1,X2)
    | ~ status(X3,X4,X2)
    | ~ status(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    status(esk18_0,esk19_0,thm),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_17,plain,
    ( status(X1,X2,wth)
    | model(X3,X2)
    | model(X4,X1)
    | model(esk4_2(X1,X2),X1)
    | ~ model(X4,X2)
    | ~ model(X5,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    model(esk20_0,esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19,negated_conjecture,
    ~ mighta(wth,thm),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( mighta(X1,thm)
    | ~ status(esk18_0,esk19_0,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,plain,
    ( status(X1,X2,wth)
    | model(X3,X2)
    | model(X4,X1)
    | ~ model(X4,X2)
    | ~ model(X5,X1)
    | ~ model(esk4_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_22,plain,
    ( status(esk18_0,X1,wth)
    | model(esk4_2(esk18_0,X1),esk18_0)
    | model(X2,esk18_0)
    | model(X3,X1)
    | ~ model(X2,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,plain,
    model(esk21_0,esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_24,negated_conjecture,
    ~ status(esk18_0,esk19_0,wth),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,plain,
    ~ model(esk21_0,esk18_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_26,plain,
    ( status(X1,esk19_0,wth)
    | model(X2,esk19_0)
    | model(X3,X1)
    | ~ model(esk4_2(X1,esk19_0),esk18_0)
    | ~ model(X3,esk19_0)
    | ~ model(X4,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_8]) ).

cnf(c_0_27,plain,
    ( model(esk4_2(esk18_0,esk19_0),esk18_0)
    | model(X1,esk19_0) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]),c_0_25]) ).

cnf(c_0_28,plain,
    ( model(X1,esk19_0)
    | model(X2,esk18_0)
    | model(X3,esk19_0)
    | ~ model(X2,esk19_0)
    | ~ model(X4,esk18_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_24]) ).

cnf(c_0_29,plain,
    ( model(X1,esk19_0)
    | model(X2,esk19_0)
    | ~ model(X3,esk18_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_23]),c_0_25]) ).

cnf(c_0_30,plain,
    ( model(X1,esk19_0)
    | model(X2,esk19_0) ),
    inference(spm,[status(thm)],[c_0_29,c_0_18]) ).

cnf(c_0_31,plain,
    ~ model(esk22_0,esk19_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_32,plain,
    model(X1,esk19_0),
    inference(ef,[status(thm)],[c_0_30]) ).

cnf(c_0_33,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : KRS264+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.12/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun  7 09:33:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.22/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.22/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.22/1.41  # Preprocessing time       : 0.016 s
% 0.22/1.41  
% 0.22/1.41  # Proof found!
% 0.22/1.41  # SZS status Theorem
% 0.22/1.41  # SZS output start CNFRefutation
% See solution above
% 0.22/1.41  # Proof object total steps             : 34
% 0.22/1.41  # Proof object clause steps            : 23
% 0.22/1.41  # Proof object formula steps           : 11
% 0.22/1.41  # Proof object conjectures             : 5
% 0.22/1.41  # Proof object clause conjectures      : 2
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 11
% 0.22/1.41  # Proof object initial formulas used   : 5
% 0.22/1.41  # Proof object generating inferences   : 11
% 0.22/1.41  # Proof object simplifying inferences  : 6
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 33
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 23
% 0.22/1.41  # Initial clauses                      : 29
% 0.22/1.41  # Removed in clause preprocessing      : 0
% 0.22/1.41  # Initial clauses in saturation        : 29
% 0.22/1.41  # Processed clauses                    : 138
% 0.22/1.41  # ...of these trivial                  : 2
% 0.22/1.41  # ...subsumed                          : 20
% 0.22/1.41  # ...remaining for further processing  : 116
% 0.22/1.41  # Other redundant clauses eliminated   : 0
% 0.22/1.41  # Clauses deleted for lack of memory   : 0
% 0.22/1.41  # Backward-subsumed                    : 16
% 0.22/1.41  # Backward-rewritten                   : 3
% 0.22/1.41  # Generated clauses                    : 535
% 0.22/1.41  # ...of the previous two non-trivial   : 480
% 0.22/1.41  # Contextual simplify-reflections      : 6
% 0.22/1.41  # Paramodulations                      : 533
% 0.22/1.41  # Factorizations                       : 2
% 0.22/1.41  # Equation resolutions                 : 0
% 0.22/1.41  # Current number of processed clauses  : 97
% 0.22/1.41  #    Positive orientable unit clauses  : 13
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 14
% 0.22/1.41  #    Non-unit-clauses                  : 70
% 0.22/1.41  # Current number of unprocessed clauses: 189
% 0.22/1.41  # ...number of literals in the above   : 1086
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 19
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 1096
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 715
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 30
% 0.22/1.41  # Unit Clause-clause subsumption calls : 103
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 14
% 0.22/1.41  # BW rewrite match successes           : 5
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 12131
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.027 s
% 0.22/1.41  # System time              : 0.005 s
% 0.22/1.41  # Total time               : 0.032 s
% 0.22/1.41  # Maximum resident set size: 3560 pages
% 0.22/23.41  eprover: CPU time limit exceeded, terminating
% 0.22/23.41  eprover: CPU time limit exceeded, terminating
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.43  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.44  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.46  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.47  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.48  eprover: No such file or directory
% 0.22/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.22/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------