TSTP Solution File: PUZ001+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 : Mon Jul 18 18:10:40 EDT 2022

% Result   : Theorem 0.20s 1.40s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   46 (  18 unt;   0 def)
%            Number of atoms       :   83 (  25 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   67 (  30   ~;  28   |;   2   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :   33 (   0 sgn  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(pel55_4,axiom,
    ! [X1,X2] :
      ( killed(X1,X2)
     => hates(X1,X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel55_4) ).

fof(pel55_1,axiom,
    ? [X1] :
      ( lives(X1)
      & killed(X1,agatha) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel55_1) ).

fof(pel55_3,axiom,
    ! [X1] :
      ( lives(X1)
     => ( X1 = agatha
        | X1 = butler
        | X1 = charles ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel55_3) ).

fof(pel55_10,axiom,
    ! [X1] :
    ? [X2] : ~ hates(X1,X2),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel55_10) ).

fof(pel55_9,axiom,
    ! [X1] :
      ( hates(agatha,X1)
     => hates(butler,X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel55_9) ).

fof(pel55_5,axiom,
    ! [X1,X2] :
      ( killed(X1,X2)
     => ~ richer(X1,X2) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel55_5) ).

fof(pel55_8,axiom,
    ! [X1] :
      ( ~ richer(X1,agatha)
     => hates(butler,X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel55_8) ).

fof(pel55_6,axiom,
    ! [X1] :
      ( hates(agatha,X1)
     => ~ hates(charles,X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel55_6) ).

fof(pel55_7,axiom,
    ! [X1] :
      ( X1 != butler
     => hates(agatha,X1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel55_7) ).

fof(pel55_11,axiom,
    agatha != butler,
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel55_11) ).

fof(pel55,conjecture,
    killed(agatha,agatha),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',pel55) ).

fof(c_0_11,plain,
    ! [X3,X4] :
      ( ~ killed(X3,X4)
      | hates(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel55_4])]) ).

fof(c_0_12,plain,
    ( lives(esk1_0)
    & killed(esk1_0,agatha) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[pel55_1])]) ).

fof(c_0_13,plain,
    ! [X2] :
      ( ~ lives(X2)
      | X2 = agatha
      | X2 = butler
      | X2 = charles ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel55_3])]) ).

cnf(c_0_14,plain,
    ( hates(X1,X2)
    | ~ killed(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    killed(esk1_0,agatha),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( X1 = charles
    | X1 = butler
    | X1 = agatha
    | ~ lives(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    lives(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_18,plain,
    ! [X3] : ~ hates(X3,esk2_1(X3)),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[pel55_10])])]) ).

fof(c_0_19,plain,
    ! [X2] :
      ( ~ hates(agatha,X2)
      | hates(butler,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel55_9])]) ).

fof(c_0_20,plain,
    ! [X3,X4] :
      ( ~ killed(X3,X4)
      | ~ richer(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pel55_5])])]) ).

fof(c_0_21,plain,
    ! [X2] :
      ( richer(X2,agatha)
      | hates(butler,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pel55_8])])]) ).

fof(c_0_22,plain,
    ! [X2] :
      ( ~ hates(agatha,X2)
      | ~ hates(charles,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pel55_6])])]) ).

cnf(c_0_23,plain,
    hates(esk1_0,agatha),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_24,plain,
    ( esk1_0 = agatha
    | esk1_0 = butler
    | esk1_0 = charles ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_25,plain,
    ~ hates(X1,esk2_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26,plain,
    ( hates(butler,X1)
    | ~ hates(agatha,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_27,plain,
    ! [X2] :
      ( X2 = butler
      | hates(agatha,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pel55_7])]) ).

cnf(c_0_28,plain,
    ( ~ richer(X1,X2)
    | ~ killed(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_29,plain,
    ( hates(butler,X1)
    | richer(X1,agatha) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_30,plain,
    ( ~ hates(charles,X1)
    | ~ hates(agatha,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_31,plain,
    ( esk1_0 = butler
    | esk1_0 = agatha
    | hates(charles,agatha) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_32,plain,
    ~ hates(agatha,esk2_1(butler)),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_33,plain,
    ( hates(agatha,X1)
    | X1 = butler ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_34,plain,
    ( hates(butler,X1)
    | ~ killed(X1,agatha) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_35,plain,
    ( esk1_0 = agatha
    | esk1_0 = butler
    | ~ hates(agatha,agatha) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_36,plain,
    agatha != butler,
    inference(split_conjunct,[status(thm)],[pel55_11]) ).

cnf(c_0_37,plain,
    esk2_1(butler) = butler,
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

fof(c_0_38,negated_conjecture,
    ~ killed(agatha,agatha),
    inference(assume_negation,[status(cth)],[pel55]) ).

cnf(c_0_39,plain,
    hates(butler,esk1_0),
    inference(spm,[status(thm)],[c_0_34,c_0_15]) ).

cnf(c_0_40,plain,
    ( esk1_0 = butler
    | esk1_0 = agatha ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_33]),c_0_36]) ).

cnf(c_0_41,plain,
    ~ hates(butler,butler),
    inference(spm,[status(thm)],[c_0_25,c_0_37]) ).

fof(c_0_42,negated_conjecture,
    ~ killed(agatha,agatha),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

cnf(c_0_43,plain,
    esk1_0 = agatha,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    ~ killed(agatha,agatha),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_45,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_43]),c_0_44]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : PUZ001+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n019.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat May 28 22:21:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.20/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.20/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.20/1.40  # Preprocessing time       : 0.014 s
% 0.20/1.40  
% 0.20/1.40  # Failure: Out of unprocessed clauses!
% 0.20/1.40  # OLD status GaveUp
% 0.20/1.40  # Parsed axioms                        : 14
% 0.20/1.40  # Removed by relevancy pruning/SinE    : 5
% 0.20/1.40  # Initial clauses                      : 10
% 0.20/1.40  # Removed in clause preprocessing      : 0
% 0.20/1.40  # Initial clauses in saturation        : 10
% 0.20/1.40  # Processed clauses                    : 16
% 0.20/1.40  # ...of these trivial                  : 0
% 0.20/1.40  # ...subsumed                          : 0
% 0.20/1.40  # ...remaining for further processing  : 16
% 0.20/1.40  # Other redundant clauses eliminated   : 0
% 0.20/1.40  # Clauses deleted for lack of memory   : 0
% 0.20/1.40  # Backward-subsumed                    : 0
% 0.20/1.40  # Backward-rewritten                   : 0
% 0.20/1.40  # Generated clauses                    : 6
% 0.20/1.40  # ...of the previous two non-trivial   : 6
% 0.20/1.40  # Contextual simplify-reflections      : 0
% 0.20/1.40  # Paramodulations                      : 6
% 0.20/1.40  # Factorizations                       : 0
% 0.20/1.40  # Equation resolutions                 : 0
% 0.20/1.40  # Current number of processed clauses  : 16
% 0.20/1.40  #    Positive orientable unit clauses  : 7
% 0.20/1.40  #    Positive unorientable unit clauses: 0
% 0.20/1.40  #    Negative unit clauses             : 5
% 0.20/1.40  #    Non-unit-clauses                  : 4
% 0.20/1.40  # Current number of unprocessed clauses: 0
% 0.20/1.40  # ...number of literals in the above   : 0
% 0.20/1.40  # Current number of archived formulas  : 0
% 0.20/1.40  # Current number of archived clauses   : 0
% 0.20/1.40  # Clause-clause subsumption calls (NU) : 1
% 0.20/1.40  # Rec. Clause-clause subsumption calls : 1
% 0.20/1.40  # Non-unit clause-clause subsumptions  : 0
% 0.20/1.40  # Unit Clause-clause subsumption calls : 0
% 0.20/1.40  # Rewrite failures with RHS unbound    : 0
% 0.20/1.40  # BW rewrite match attempts            : 0
% 0.20/1.40  # BW rewrite match successes           : 0
% 0.20/1.40  # Condensation attempts                : 0
% 0.20/1.40  # Condensation successes               : 0
% 0.20/1.40  # Termbank termtop insertions          : 375
% 0.20/1.40  
% 0.20/1.40  # -------------------------------------------------
% 0.20/1.40  # User time                : 0.013 s
% 0.20/1.40  # System time              : 0.002 s
% 0.20/1.40  # Total time               : 0.015 s
% 0.20/1.40  # Maximum resident set size: 2768 pages
% 0.20/1.40  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.20/1.40  # Preprocessing time       : 0.013 s
% 0.20/1.40  
% 0.20/1.40  # Proof found!
% 0.20/1.40  # SZS status Theorem
% 0.20/1.40  # SZS output start CNFRefutation
% See solution above
% 0.20/1.40  # Proof object total steps             : 46
% 0.20/1.40  # Proof object clause steps            : 24
% 0.20/1.40  # Proof object formula steps           : 22
% 0.20/1.40  # Proof object conjectures             : 4
% 0.20/1.40  # Proof object clause conjectures      : 1
% 0.20/1.40  # Proof object formula conjectures     : 3
% 0.20/1.40  # Proof object initial clauses used    : 12
% 0.20/1.40  # Proof object initial formulas used   : 11
% 0.20/1.40  # Proof object generating inferences   : 11
% 0.20/1.40  # Proof object simplifying inferences  : 4
% 0.20/1.40  # Training examples: 0 positive, 0 negative
% 0.20/1.40  # Parsed axioms                        : 14
% 0.20/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.20/1.40  # Initial clauses                      : 15
% 0.20/1.40  # Removed in clause preprocessing      : 0
% 0.20/1.40  # Initial clauses in saturation        : 15
% 0.20/1.40  # Processed clauses                    : 42
% 0.20/1.40  # ...of these trivial                  : 0
% 0.20/1.40  # ...subsumed                          : 7
% 0.20/1.40  # ...remaining for further processing  : 35
% 0.20/1.40  # Other redundant clauses eliminated   : 0
% 0.20/1.40  # Clauses deleted for lack of memory   : 0
% 0.20/1.40  # Backward-subsumed                    : 8
% 0.20/1.40  # Backward-rewritten                   : 6
% 0.20/1.40  # Generated clauses                    : 45
% 0.20/1.40  # ...of the previous two non-trivial   : 42
% 0.20/1.40  # Contextual simplify-reflections      : 0
% 0.20/1.40  # Paramodulations                      : 40
% 0.20/1.40  # Factorizations                       : 5
% 0.20/1.40  # Equation resolutions                 : 0
% 0.20/1.40  # Current number of processed clauses  : 21
% 0.20/1.40  #    Positive orientable unit clauses  : 6
% 0.20/1.40  #    Positive unorientable unit clauses: 0
% 0.20/1.40  #    Negative unit clauses             : 7
% 0.20/1.40  #    Non-unit-clauses                  : 8
% 0.20/1.40  # Current number of unprocessed clauses: 2
% 0.20/1.40  # ...number of literals in the above   : 2
% 0.20/1.40  # Current number of archived formulas  : 0
% 0.20/1.40  # Current number of archived clauses   : 14
% 0.20/1.40  # Clause-clause subsumption calls (NU) : 18
% 0.20/1.40  # Rec. Clause-clause subsumption calls : 17
% 0.20/1.40  # Non-unit clause-clause subsumptions  : 6
% 0.20/1.40  # Unit Clause-clause subsumption calls : 10
% 0.20/1.40  # Rewrite failures with RHS unbound    : 0
% 0.20/1.40  # BW rewrite match attempts            : 2
% 0.20/1.40  # BW rewrite match successes           : 2
% 0.20/1.40  # Condensation attempts                : 0
% 0.20/1.40  # Condensation successes               : 0
% 0.20/1.40  # Termbank termtop insertions          : 832
% 0.20/1.40  
% 0.20/1.40  # -------------------------------------------------
% 0.20/1.40  # User time                : 0.015 s
% 0.20/1.40  # System time              : 0.000 s
% 0.20/1.40  # Total time               : 0.015 s
% 0.20/1.40  # Maximum resident set size: 2776 pages
% 0.20/23.41  eprover: CPU time limit exceeded, terminating
% 0.20/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.20/23.43  eprover: No such file or directory
% 0.20/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.20/23.43  eprover: No such file or directory
% 0.20/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.20/23.44  eprover: No such file or directory
% 0.20/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.20/23.44  eprover: No such file or directory
% 0.20/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.20/23.45  eprover: No such file or directory
% 0.20/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.20/23.45  eprover: No such file or directory
% 0.20/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.20/23.46  eprover: No such file or directory
% 0.20/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.20/23.47  eprover: No such file or directory
% 0.20/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.20/23.47  eprover: No such file or directory
% 0.20/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.20/23.48  eprover: No such file or directory
% 0.20/23.48  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.20/23.48  eprover: No such file or directory
%------------------------------------------------------------------------------