TSTP Solution File: GEO148+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : GEO148+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n003.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 : Sat Jul 16 04:03:56 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   41 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   43 (  18   ~;  11   |;   8   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   42 (   3 sgn  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t14,conjecture,
    ! [X3,X12,X13] :
      ( connect(X12,X13,X3)
     => ! [X18,X19] :
          ( ( ordered_by(trajectory_of(X13),X19,X3)
            & ordered_by(trajectory_of(X12),X3,X18) )
         => ~ once(at_the_same_time(at(X12,X18),at(X13,X19))) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t14) ).

fof(homogeneous_behaviour,axiom,
    ! [X16,X17,X18,X19,X12,X13] :
      ( ( once(at_the_same_time(at(X12,X16),at(X13,X17)))
        & once(at_the_same_time(at(X12,X18),at(X13,X19))) )
     => ~ ( ordered_by(trajectory_of(X12),X16,X18)
          & ordered_by(trajectory_of(X13),X19,X17) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',homogeneous_behaviour) ).

fof(connect_defn,axiom,
    ! [X12,X13,X3] :
      ( connect(X12,X13,X3)
    <=> once(at_the_same_time(at(X12,X3),at(X13,X3))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO004+3.ax',connect_defn) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X3,X12,X13] :
        ( connect(X12,X13,X3)
       => ! [X18,X19] :
            ( ( ordered_by(trajectory_of(X13),X19,X3)
              & ordered_by(trajectory_of(X12),X3,X18) )
           => ~ once(at_the_same_time(at(X12,X18),at(X13,X19))) ) ),
    inference(assume_negation,[status(cth)],[t14]) ).

fof(c_0_4,plain,
    ! [X20,X21,X22,X23,X24,X25] :
      ( ~ once(at_the_same_time(at(X24,X20),at(X25,X21)))
      | ~ once(at_the_same_time(at(X24,X22),at(X25,X23)))
      | ~ ordered_by(trajectory_of(X24),X20,X22)
      | ~ ordered_by(trajectory_of(X25),X23,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[homogeneous_behaviour])]) ).

fof(c_0_5,negated_conjecture,
    ( connect(esk2_0,esk3_0,esk1_0)
    & ordered_by(trajectory_of(esk3_0),esk5_0,esk1_0)
    & ordered_by(trajectory_of(esk2_0),esk1_0,esk4_0)
    & once(at_the_same_time(at(esk2_0,esk4_0),at(esk3_0,esk5_0))) ),
    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)],[c_0_3])])])])])]) ).

fof(c_0_6,plain,
    ! [X14,X15,X16,X14,X15,X16] :
      ( ( ~ connect(X14,X15,X16)
        | once(at_the_same_time(at(X14,X16),at(X15,X16))) )
      & ( ~ once(at_the_same_time(at(X14,X16),at(X15,X16)))
        | connect(X14,X15,X16) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[connect_defn])])])]) ).

cnf(c_0_7,plain,
    ( ~ ordered_by(trajectory_of(X1),X2,X3)
    | ~ ordered_by(trajectory_of(X4),X5,X6)
    | ~ once(at_the_same_time(at(X4,X6),at(X1,X2)))
    | ~ once(at_the_same_time(at(X4,X5),at(X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    once(at_the_same_time(at(esk2_0,esk4_0),at(esk3_0,esk5_0))),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( once(at_the_same_time(at(X1,X2),at(X3,X2)))
    | ~ connect(X1,X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    connect(esk2_0,esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    ( ~ once(at_the_same_time(at(esk2_0,X1),at(esk3_0,X2)))
    | ~ ordered_by(trajectory_of(esk2_0),X1,esk4_0)
    | ~ ordered_by(trajectory_of(esk3_0),esk5_0,X2) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    once(at_the_same_time(at(esk2_0,esk1_0),at(esk3_0,esk1_0))),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    ordered_by(trajectory_of(esk2_0),esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,negated_conjecture,
    ordered_by(trajectory_of(esk3_0),esk5_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO148+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n003.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 Jun 18 14:27:13 EDT 2022
% 0.12/0.33  % 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       : 0.017 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             : 16
% 0.22/1.41  # Proof object clause steps            : 9
% 0.22/1.41  # Proof object formula steps           : 7
% 0.22/1.41  # Proof object conjectures             : 10
% 0.22/1.41  # Proof object clause conjectures      : 7
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 6
% 0.22/1.41  # Proof object initial formulas used   : 3
% 0.22/1.41  # Proof object generating inferences   : 3
% 0.22/1.41  # Proof object simplifying inferences  : 3
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 37
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 25
% 0.22/1.41  # Initial clauses                      : 22
% 0.22/1.41  # Removed in clause preprocessing      : 1
% 0.22/1.41  # Initial clauses in saturation        : 21
% 0.22/1.41  # Processed clauses                    : 33
% 0.22/1.41  # ...of these trivial                  : 1
% 0.22/1.41  # ...subsumed                          : 1
% 0.22/1.41  # ...remaining for further processing  : 31
% 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                    : 0
% 0.22/1.41  # Backward-rewritten                   : 0
% 0.22/1.41  # Generated clauses                    : 47
% 0.22/1.41  # ...of the previous two non-trivial   : 32
% 0.22/1.41  # Contextual simplify-reflections      : 0
% 0.22/1.41  # Paramodulations                      : 45
% 0.22/1.41  # Factorizations                       : 2
% 0.22/1.41  # Equation resolutions                 : 0
% 0.22/1.41  # Current number of processed clauses  : 31
% 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             : 0
% 0.22/1.41  #    Non-unit-clauses                  : 18
% 0.22/1.41  # Current number of unprocessed clauses: 20
% 0.22/1.41  # ...number of literals in the above   : 48
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 1
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 79
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 54
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 1
% 0.22/1.41  # Unit Clause-clause subsumption calls : 0
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 13
% 0.22/1.41  # BW rewrite match successes           : 0
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 2312
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.016 s
% 0.22/1.41  # System time              : 0.003 s
% 0.22/1.41  # Total time               : 0.019 s
% 0.22/1.41  # Maximum resident set size: 3032 pages
% 0.22/23.40  eprover: CPU time limit exceeded, terminating
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.42  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.42  eprover: No such file or directory
% 0.22/23.43  eprover: Cannot stat file /export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.45  eprover: No such file or directory
% 0.22/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.22/23.46  eprover: No such file or directory
%------------------------------------------------------------------------------