TSTP Solution File: AGT016+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : AGT016+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 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 : Thu Jul 14 11:57:50 EDT 2022

% Result   : Theorem 0.27s 1.46s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (  11 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :   65 (  30   ~;  22   |;  10   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :   30 (   4 sgn  17   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(a1_6,axiom,
    ! [X1,X4,X2] :
      ( the_agent_not_in_any_proposed_teams(X1,X4,X2)
     => ~ ( accept_city(X1,X2)
          & accept_leader(X1,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_6) ).

fof(a1_5,axiom,
    ! [X1,X4,X2] :
      ( any_agent_in_all_proposed_teams(X1,X4,X2)
     => accept_leader(X1,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_5) ).

fof(event_11,axiom,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_11) ).

fof(event_12,axiom,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_12) ).

fof(query_16,conjecture,
    ? [X7,X8] : ~ accept_population(muslimcountrybhumanitarianorganization,X7,X8),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',query_16) ).

fof(a2_9,axiom,
    ! [X1] :
      ( ( accept_population(X1,atheist,n75)
        & accept_population(X1,christian,n24)
        & accept_population(X1,muslim,n1)
        & accept_population(X1,native,n0)
        & accept_population(X1,other,n0) )
    <=> accept_city(X1,towna) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a2_9) ).

fof(c_0_6,plain,
    ! [X5,X6,X7] :
      ( ~ the_agent_not_in_any_proposed_teams(X5,X6,X7)
      | ~ accept_city(X5,X7)
      | ~ accept_leader(X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_6])]) ).

fof(c_0_7,plain,
    ! [X5,X6,X7] :
      ( ~ any_agent_in_all_proposed_teams(X5,X6,X7)
      | accept_leader(X5,X6) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a1_5])])])]) ).

cnf(c_0_8,plain,
    ( ~ accept_leader(X1,X2)
    | ~ accept_city(X1,X3)
    | ~ the_agent_not_in_any_proposed_teams(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    the_agent_not_in_any_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(split_conjunct,[status(thm)],[event_11]) ).

cnf(c_0_10,plain,
    ( accept_leader(X1,X2)
    | ~ any_agent_in_all_proposed_teams(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    any_agent_in_all_proposed_teams(muslimcountrybhumanitarianorganization,countryacivilorganization,towna),
    inference(split_conjunct,[status(thm)],[event_12]) ).

fof(c_0_12,negated_conjecture,
    ~ ? [X7,X8] : ~ accept_population(muslimcountrybhumanitarianorganization,X7,X8),
    inference(assume_negation,[status(cth)],[query_16]) ).

cnf(c_0_13,plain,
    ( ~ accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization)
    | ~ accept_city(muslimcountrybhumanitarianorganization,towna) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_14,plain,
    accept_leader(muslimcountrybhumanitarianorganization,countryacivilorganization),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

fof(c_0_15,plain,
    ! [X2,X2] :
      ( ( ~ accept_population(X2,atheist,n75)
        | ~ accept_population(X2,christian,n24)
        | ~ accept_population(X2,muslim,n1)
        | ~ accept_population(X2,native,n0)
        | ~ accept_population(X2,other,n0)
        | accept_city(X2,towna) )
      & ( accept_population(X2,atheist,n75)
        | ~ accept_city(X2,towna) )
      & ( accept_population(X2,christian,n24)
        | ~ accept_city(X2,towna) )
      & ( accept_population(X2,muslim,n1)
        | ~ accept_city(X2,towna) )
      & ( accept_population(X2,native,n0)
        | ~ accept_city(X2,towna) )
      & ( accept_population(X2,other,n0)
        | ~ accept_city(X2,towna) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[a2_9])])])])]) ).

fof(c_0_16,negated_conjecture,
    ! [X9,X10] : accept_population(muslimcountrybhumanitarianorganization,X9,X10),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_12])])]) ).

cnf(c_0_17,plain,
    ~ accept_city(muslimcountrybhumanitarianorganization,towna),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).

cnf(c_0_18,plain,
    ( accept_city(X1,towna)
    | ~ accept_population(X1,other,n0)
    | ~ accept_population(X1,native,n0)
    | ~ accept_population(X1,muslim,n1)
    | ~ accept_population(X1,christian,n24)
    | ~ accept_population(X1,atheist,n75) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    accept_population(muslimcountrybhumanitarianorganization,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_19]),c_0_19]),c_0_19]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : AGT016+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.04/0.14  % Command  : run_ET %s %d
% 0.14/0.35  % Computer : n019.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun  4 06:43:55 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.27/1.46  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.46  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.46  # Preprocessing time       : 0.025 s
% 0.27/1.46  
% 0.27/1.46  # Failure: Out of unprocessed clauses!
% 0.27/1.46  # OLD status GaveUp
% 0.27/1.46  # Parsed axioms                        : 556
% 0.27/1.46  # Removed by relevancy pruning/SinE    : 455
% 0.27/1.46  # Initial clauses                      : 101
% 0.27/1.46  # Removed in clause preprocessing      : 0
% 0.27/1.46  # Initial clauses in saturation        : 101
% 0.27/1.46  # Processed clauses                    : 101
% 0.27/1.46  # ...of these trivial                  : 0
% 0.27/1.46  # ...subsumed                          : 0
% 0.27/1.46  # ...remaining for further processing  : 101
% 0.27/1.46  # Other redundant clauses eliminated   : 0
% 0.27/1.46  # Clauses deleted for lack of memory   : 0
% 0.27/1.46  # Backward-subsumed                    : 0
% 0.27/1.46  # Backward-rewritten                   : 0
% 0.27/1.46  # Generated clauses                    : 0
% 0.27/1.46  # ...of the previous two non-trivial   : 0
% 0.27/1.46  # Contextual simplify-reflections      : 0
% 0.27/1.46  # Paramodulations                      : 0
% 0.27/1.46  # Factorizations                       : 0
% 0.27/1.46  # Equation resolutions                 : 0
% 0.27/1.46  # Current number of processed clauses  : 101
% 0.27/1.46  #    Positive orientable unit clauses  : 79
% 0.27/1.46  #    Positive unorientable unit clauses: 0
% 0.27/1.46  #    Negative unit clauses             : 22
% 0.27/1.46  #    Non-unit-clauses                  : 0
% 0.27/1.46  # Current number of unprocessed clauses: 0
% 0.27/1.46  # ...number of literals in the above   : 0
% 0.27/1.46  # Current number of archived formulas  : 0
% 0.27/1.46  # Current number of archived clauses   : 0
% 0.27/1.46  # Clause-clause subsumption calls (NU) : 0
% 0.27/1.46  # Rec. Clause-clause subsumption calls : 0
% 0.27/1.46  # Non-unit clause-clause subsumptions  : 0
% 0.27/1.46  # Unit Clause-clause subsumption calls : 209
% 0.27/1.46  # Rewrite failures with RHS unbound    : 0
% 0.27/1.46  # BW rewrite match attempts            : 94
% 0.27/1.46  # BW rewrite match successes           : 0
% 0.27/1.46  # Condensation attempts                : 0
% 0.27/1.46  # Condensation successes               : 0
% 0.27/1.46  # Termbank termtop insertions          : 6427
% 0.27/1.46  
% 0.27/1.46  # -------------------------------------------------
% 0.27/1.46  # User time                : 0.023 s
% 0.27/1.46  # System time              : 0.004 s
% 0.27/1.46  # Total time               : 0.028 s
% 0.27/1.46  # Maximum resident set size: 4076 pages
% 0.27/1.46  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.27/1.46  # Preprocessing time       : 0.032 s
% 0.27/1.46  
% 0.27/1.46  # Proof found!
% 0.27/1.46  # SZS status Theorem
% 0.27/1.46  # SZS output start CNFRefutation
% See solution above
% 0.27/1.46  # Proof object total steps             : 21
% 0.27/1.46  # Proof object clause steps            : 10
% 0.27/1.46  # Proof object formula steps           : 11
% 0.27/1.46  # Proof object conjectures             : 4
% 0.27/1.46  # Proof object clause conjectures      : 1
% 0.27/1.46  # Proof object formula conjectures     : 3
% 0.27/1.46  # Proof object initial clauses used    : 6
% 0.27/1.46  # Proof object initial formulas used   : 6
% 0.27/1.46  # Proof object generating inferences   : 3
% 0.27/1.46  # Proof object simplifying inferences  : 8
% 0.27/1.46  # Training examples: 0 positive, 0 negative
% 0.27/1.46  # Parsed axioms                        : 556
% 0.27/1.46  # Removed by relevancy pruning/SinE    : 0
% 0.27/1.46  # Initial clauses                      : 629
% 0.27/1.46  # Removed in clause preprocessing      : 0
% 0.27/1.46  # Initial clauses in saturation        : 629
% 0.27/1.46  # Processed clauses                    : 644
% 0.27/1.46  # ...of these trivial                  : 1
% 0.27/1.46  # ...subsumed                          : 0
% 0.27/1.46  # ...remaining for further processing  : 643
% 0.27/1.46  # Other redundant clauses eliminated   : 2
% 0.27/1.46  # Clauses deleted for lack of memory   : 0
% 0.27/1.46  # Backward-subsumed                    : 0
% 0.27/1.46  # Backward-rewritten                   : 1
% 0.27/1.46  # Generated clauses                    : 1106
% 0.27/1.46  # ...of the previous two non-trivial   : 939
% 0.27/1.46  # Contextual simplify-reflections      : 0
% 0.27/1.46  # Paramodulations                      : 1102
% 0.27/1.46  # Factorizations                       : 2
% 0.27/1.46  # Equation resolutions                 : 2
% 0.27/1.46  # Current number of processed clauses  : 640
% 0.27/1.46  #    Positive orientable unit clauses  : 491
% 0.27/1.46  #    Positive unorientable unit clauses: 0
% 0.27/1.46  #    Negative unit clauses             : 42
% 0.27/1.46  #    Non-unit-clauses                  : 107
% 0.27/1.46  # Current number of unprocessed clauses: 924
% 0.27/1.46  # ...number of literals in the above   : 1725
% 0.27/1.46  # Current number of archived formulas  : 0
% 0.27/1.46  # Current number of archived clauses   : 1
% 0.27/1.46  # Clause-clause subsumption calls (NU) : 2736
% 0.27/1.46  # Rec. Clause-clause subsumption calls : 1041
% 0.27/1.46  # Non-unit clause-clause subsumptions  : 0
% 0.27/1.46  # Unit Clause-clause subsumption calls : 767
% 0.27/1.46  # Rewrite failures with RHS unbound    : 0
% 0.27/1.46  # BW rewrite match attempts            : 171
% 0.27/1.46  # BW rewrite match successes           : 1
% 0.27/1.46  # Condensation attempts                : 0
% 0.27/1.46  # Condensation successes               : 0
% 0.27/1.46  # Termbank termtop insertions          : 33576
% 0.27/1.46  
% 0.27/1.46  # -------------------------------------------------
% 0.27/1.46  # User time                : 0.050 s
% 0.27/1.46  # System time              : 0.010 s
% 0.27/1.46  # Total time               : 0.060 s
% 0.27/1.46  # Maximum resident set size: 7372 pages
%------------------------------------------------------------------------------