TSTP Solution File: KRS201+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KRS201+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n026.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 03:00:05 EDT 2022

% Result   : Theorem 0.24s 1.41s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   57 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   57 (  22   ~;  19   |;  11   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   47 (  11 sgn  24   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(sap,axiom,
    ! [X1,X2] :
      ( ( ? [X3] : model(X3,X1)
       => ? [X4] : model(X4,X2) )
    <=> status(X1,X2,sap) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',sap) ).

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

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

fof(nota_sap_thm,conjecture,
    nota(sap,thm),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',nota_sap_thm) ).

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(c_0_5,plain,
    ! [X5,X6,X8,X5,X6,X9] :
      ( ( model(esk4_2(X5,X6),X5)
        | status(X5,X6,sap) )
      & ( ~ model(X8,X6)
        | status(X5,X6,sap) )
      & ( ~ status(X5,X6,sap)
        | ~ model(X9,X5)
        | model(esk5_2(X5,X6),X6) ) ),
    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)],[sap])])])])])])]) ).

fof(c_0_6,plain,
    ( model(esk21_0,esk22_0)
    & ~ model(esk21_0,esk23_0)
    & model(esk24_0,esk23_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[non_thm_spt])])])])]) ).

fof(c_0_7,plain,
    ! [X9,X10,X11,X12,X9,X10] :
      ( ( ~ status(X11,X12,X9)
        | status(X11,X12,X10)
        | nota(X9,X10) )
      & ( status(esk1_2(X9,X10),esk2_2(X9,X10),X9)
        | ~ nota(X9,X10) )
      & ( ~ status(esk1_2(X9,X10),esk2_2(X9,X10),X10)
        | ~ nota(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)],[inference(fof_simplification,[status(thm)],[nota])])])])])])])]) ).

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

cnf(c_0_9,plain,
    model(esk24_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_10,negated_conjecture,
    ~ nota(sap,thm),
    inference(assume_negation,[status(cth)],[nota_sap_thm]) ).

fof(c_0_11,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])])])])])])]) ).

cnf(c_0_12,plain,
    ( nota(X1,X2)
    | status(X3,X4,X2)
    | ~ status(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    status(X1,esk23_0,sap),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

fof(c_0_14,negated_conjecture,
    ~ nota(sap,thm),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( model(X1,X2)
    | ~ model(X1,X3)
    | ~ status(X3,X2,thm) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( nota(sap,X1)
    | status(X2,esk23_0,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ~ nota(sap,thm),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    ( model(X1,esk23_0)
    | ~ model(X1,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).

cnf(c_0_19,plain,
    model(esk21_0,esk22_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20,plain,
    ~ model(esk21_0,esk23_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : KRS201+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.10/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jun  7 11:32:46 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.24/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41  # Preprocessing time       : 0.016 s
% 0.24/1.41  
% 0.24/1.41  # Proof found!
% 0.24/1.41  # SZS status Theorem
% 0.24/1.41  # SZS output start CNFRefutation
% See solution above
% 0.24/1.41  # Proof object total steps             : 22
% 0.24/1.41  # Proof object clause steps            : 11
% 0.24/1.41  # Proof object formula steps           : 11
% 0.24/1.41  # Proof object conjectures             : 4
% 0.24/1.41  # Proof object clause conjectures      : 1
% 0.24/1.41  # Proof object formula conjectures     : 3
% 0.24/1.41  # Proof object initial clauses used    : 7
% 0.24/1.41  # Proof object initial formulas used   : 5
% 0.24/1.41  # Proof object generating inferences   : 4
% 0.24/1.41  # Proof object simplifying inferences  : 2
% 0.24/1.41  # Training examples: 0 positive, 0 negative
% 0.24/1.41  # Parsed axioms                        : 33
% 0.24/1.41  # Removed by relevancy pruning/SinE    : 23
% 0.24/1.41  # Initial clauses                      : 25
% 0.24/1.41  # Removed in clause preprocessing      : 0
% 0.24/1.41  # Initial clauses in saturation        : 25
% 0.24/1.41  # Processed clauses                    : 44
% 0.24/1.41  # ...of these trivial                  : 1
% 0.24/1.41  # ...subsumed                          : 1
% 0.24/1.41  # ...remaining for further processing  : 42
% 0.24/1.41  # Other redundant clauses eliminated   : 0
% 0.24/1.41  # Clauses deleted for lack of memory   : 0
% 0.24/1.41  # Backward-subsumed                    : 0
% 0.24/1.41  # Backward-rewritten                   : 0
% 0.24/1.41  # Generated clauses                    : 64
% 0.24/1.41  # ...of the previous two non-trivial   : 48
% 0.24/1.41  # Contextual simplify-reflections      : 0
% 0.24/1.41  # Paramodulations                      : 64
% 0.24/1.41  # Factorizations                       : 0
% 0.24/1.41  # Equation resolutions                 : 0
% 0.24/1.41  # Current number of processed clauses  : 42
% 0.24/1.41  #    Positive orientable unit clauses  : 20
% 0.24/1.41  #    Positive unorientable unit clauses: 0
% 0.24/1.41  #    Negative unit clauses             : 8
% 0.24/1.41  #    Non-unit-clauses                  : 14
% 0.24/1.41  # Current number of unprocessed clauses: 29
% 0.24/1.41  # ...number of literals in the above   : 64
% 0.24/1.41  # Current number of archived formulas  : 0
% 0.24/1.41  # Current number of archived clauses   : 0
% 0.24/1.41  # Clause-clause subsumption calls (NU) : 11
% 0.24/1.41  # Rec. Clause-clause subsumption calls : 11
% 0.24/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.24/1.41  # Unit Clause-clause subsumption calls : 40
% 0.24/1.41  # Rewrite failures with RHS unbound    : 0
% 0.24/1.41  # BW rewrite match attempts            : 13
% 0.24/1.41  # BW rewrite match successes           : 0
% 0.24/1.41  # Condensation attempts                : 0
% 0.24/1.41  # Condensation successes               : 0
% 0.24/1.41  # Termbank termtop insertions          : 2141
% 0.24/1.41  
% 0.24/1.41  # -------------------------------------------------
% 0.24/1.41  # User time                : 0.016 s
% 0.24/1.41  # System time              : 0.002 s
% 0.24/1.41  # Total time               : 0.018 s
% 0.24/1.41  # Maximum resident set size: 3024 pages
% 0.24/23.41  eprover: CPU time limit exceeded, terminating
% 0.24/23.43  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.43  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.44  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.44  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.45  eprover: No such file or directory
% 0.24/23.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.46  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.47  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.48  eprover: No such file or directory
% 0.24/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.24/23.49  eprover: No such file or directory
%------------------------------------------------------------------------------