TSTP Solution File: PUZ131+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PUZ131+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% 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  : 600s
% DateTime : Mon Jul 18 18:10:53 EDT 2022

% Result   : Theorem 0.19s 1.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   23 (  16 unt;   0 def)
%            Number of atoms       :   43 (   2 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   37 (  17   ~;  14   |;   1   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :   13 (   0 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(coordinator_teaches,axiom,
    ! [X2] :
      ( course(X2)
     => teaches(coordinatorof(X2),X2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',coordinator_teaches) ).

fof(teaching_conjecture,conjecture,
    taughtby(michael,victor),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',teaching_conjecture) ).

fof(student_enrolled_taught,axiom,
    ! [X2,X3] :
      ( ( student(X2)
        & course(X3) )
     => ( enrolled(X2,X3)
       => ! [X4] :
            ( professor(X4)
           => ( teaches(X4,X3)
             => taughtby(X2,X4) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',student_enrolled_taught) ).

fof(victor_coordinator_csc410_axiom,axiom,
    coordinatorof(csc410) = victor,
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',victor_coordinator_csc410_axiom) ).

fof(csc410_type,axiom,
    course(csc410),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',csc410_type) ).

fof(victor_type,axiom,
    professor(victor),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',victor_type) ).

fof(michael_enrolled_csc410_axiom,axiom,
    enrolled(michael,csc410),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',michael_enrolled_csc410_axiom) ).

fof(michael_type,axiom,
    student(michael),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',michael_type) ).

fof(c_0_8,plain,
    ! [X3] :
      ( ~ course(X3)
      | teaches(coordinatorof(X3),X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[coordinator_teaches])]) ).

fof(c_0_9,negated_conjecture,
    ~ taughtby(michael,victor),
    inference(assume_negation,[status(cth)],[teaching_conjecture]) ).

fof(c_0_10,plain,
    ! [X5,X6,X7] :
      ( ~ student(X5)
      | ~ course(X6)
      | ~ enrolled(X5,X6)
      | ~ professor(X7)
      | ~ teaches(X7,X6)
      | taughtby(X5,X7) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[student_enrolled_taught])])])])]) ).

cnf(c_0_11,plain,
    ( teaches(coordinatorof(X1),X1)
    | ~ course(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    coordinatorof(csc410) = victor,
    inference(split_conjunct,[status(thm)],[victor_coordinator_csc410_axiom]) ).

cnf(c_0_13,plain,
    course(csc410),
    inference(split_conjunct,[status(thm)],[csc410_type]) ).

fof(c_0_14,negated_conjecture,
    ~ taughtby(michael,victor),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( taughtby(X1,X2)
    | ~ teaches(X2,X3)
    | ~ professor(X2)
    | ~ enrolled(X1,X3)
    | ~ course(X3)
    | ~ student(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    teaches(victor,csc410),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).

cnf(c_0_17,plain,
    professor(victor),
    inference(split_conjunct,[status(thm)],[victor_type]) ).

cnf(c_0_18,negated_conjecture,
    ~ taughtby(michael,victor),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    ( taughtby(X1,victor)
    | ~ enrolled(X1,csc410)
    | ~ student(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_13]),c_0_17])]) ).

cnf(c_0_20,plain,
    enrolled(michael,csc410),
    inference(split_conjunct,[status(thm)],[michael_enrolled_csc410_axiom]) ).

cnf(c_0_21,plain,
    student(michael),
    inference(split_conjunct,[status(thm)],[michael_type]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : PUZ131+1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.10  % Command  : run_ET %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Sun May 29 01:45:41 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.19/1.36  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.19/1.36  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.19/1.36  # Preprocessing time       : 0.012 s
% 0.19/1.36  
% 0.19/1.36  # Proof found!
% 0.19/1.36  # SZS status Theorem
% 0.19/1.36  # SZS output start CNFRefutation
% See solution above
% 0.19/1.36  # Proof object total steps             : 23
% 0.19/1.36  # Proof object clause steps            : 11
% 0.19/1.36  # Proof object formula steps           : 12
% 0.19/1.36  # Proof object conjectures             : 5
% 0.19/1.36  # Proof object clause conjectures      : 2
% 0.19/1.36  # Proof object formula conjectures     : 3
% 0.19/1.36  # Proof object initial clauses used    : 8
% 0.19/1.36  # Proof object initial formulas used   : 8
% 0.19/1.36  # Proof object generating inferences   : 3
% 0.19/1.36  # Proof object simplifying inferences  : 8
% 0.19/1.36  # Training examples: 0 positive, 0 negative
% 0.19/1.36  # Parsed axioms                        : 16
% 0.19/1.36  # Removed by relevancy pruning/SinE    : 0
% 0.19/1.36  # Initial clauses                      : 20
% 0.19/1.36  # Removed in clause preprocessing      : 0
% 0.19/1.36  # Initial clauses in saturation        : 20
% 0.19/1.36  # Processed clauses                    : 22
% 0.19/1.36  # ...of these trivial                  : 0
% 0.19/1.36  # ...subsumed                          : 0
% 0.19/1.36  # ...remaining for further processing  : 22
% 0.19/1.36  # Other redundant clauses eliminated   : 0
% 0.19/1.36  # Clauses deleted for lack of memory   : 0
% 0.19/1.36  # Backward-subsumed                    : 0
% 0.19/1.36  # Backward-rewritten                   : 0
% 0.19/1.36  # Generated clauses                    : 7
% 0.19/1.36  # ...of the previous two non-trivial   : 5
% 0.19/1.36  # Contextual simplify-reflections      : 0
% 0.19/1.36  # Paramodulations                      : 7
% 0.19/1.36  # Factorizations                       : 0
% 0.19/1.36  # Equation resolutions                 : 0
% 0.19/1.36  # Current number of processed clauses  : 22
% 0.19/1.36  #    Positive orientable unit clauses  : 9
% 0.19/1.36  #    Positive unorientable unit clauses: 0
% 0.19/1.36  #    Negative unit clauses             : 1
% 0.19/1.36  #    Non-unit-clauses                  : 12
% 0.19/1.36  # Current number of unprocessed clauses: 3
% 0.19/1.36  # ...number of literals in the above   : 15
% 0.19/1.36  # Current number of archived formulas  : 0
% 0.19/1.36  # Current number of archived clauses   : 0
% 0.19/1.36  # Clause-clause subsumption calls (NU) : 2
% 0.19/1.36  # Rec. Clause-clause subsumption calls : 0
% 0.19/1.36  # Non-unit clause-clause subsumptions  : 0
% 0.19/1.36  # Unit Clause-clause subsumption calls : 0
% 0.19/1.36  # Rewrite failures with RHS unbound    : 0
% 0.19/1.36  # BW rewrite match attempts            : 0
% 0.19/1.36  # BW rewrite match successes           : 0
% 0.19/1.36  # Condensation attempts                : 0
% 0.19/1.36  # Condensation successes               : 0
% 0.19/1.36  # Termbank termtop insertions          : 882
% 0.19/1.36  
% 0.19/1.36  # -------------------------------------------------
% 0.19/1.36  # User time                : 0.011 s
% 0.19/1.36  # System time              : 0.001 s
% 0.19/1.36  # Total time               : 0.012 s
% 0.19/1.36  # Maximum resident set size: 2676 pages
%------------------------------------------------------------------------------