TSTP Solution File: LCL684+1.001 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LCL684+1.001 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Tue May 21 00:03:19 EDT 2024

% Result   : Theorem 0.16s 0.43s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   6 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   46 (  26   ~;  14   |;   6   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   14 (   0 sgn   8   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ~ ( p201(X1)
                        & p101(X1) ) ) )
          | ~ ( p201(X1)
              & p101(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

fof(reflexivity,axiom,
    ! [X1] : r1(X1,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

fof(c_0_2,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ! [X1] :
                      ( ~ r1(X2,X1)
                      | ~ ( p201(X1)
                          & p101(X1) ) ) )
            | ~ ( p201(X1)
                & p101(X1) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).

fof(c_0_3,negated_conjecture,
    ! [X9,X10] :
      ( ( ~ r1(esk1_0,X9)
        | ~ r1(X9,X10)
        | ~ p201(X10)
        | ~ p101(X10) )
      & p201(esk1_0)
      & p101(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

fof(c_0_4,plain,
    ! [X4] : r1(X4,X4),
    inference(variable_rename,[status(thm)],[reflexivity]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ r1(esk1_0,X1)
    | ~ r1(X1,X2)
    | ~ p201(X2)
    | ~ p101(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    r1(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    ( ~ p101(X1)
    | ~ p201(X1)
    | ~ r1(esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    p101(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    p201(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : LCL684+1.001 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n019.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon May 20 01:19:52 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.16/0.42  Running first-order model finding
% 0.16/0.42  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43  # Version: 3.1.0
% 0.16/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43  # Starting sh5l with 300s (1) cores
% 0.16/0.43  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 5412 completed with status 0
% 0.16/0.43  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.16/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.43  # No SInE strategy applied
% 0.16/0.43  # Search class: FHHNF-FFSF00-SFFFFFNN
% 0.16/0.43  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.43  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/0.43  # Starting new_bool_3 with 136s (1) cores
% 0.16/0.43  # Starting new_bool_1 with 136s (1) cores
% 0.16/0.43  # Starting sh5l with 136s (1) cores
% 0.16/0.43  # SAT001_MinMin_p005000_rr_RG with pid 5416 completed with status 0
% 0.16/0.43  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.43  # No SInE strategy applied
% 0.16/0.43  # Search class: FHHNF-FFSF00-SFFFFFNN
% 0.16/0.43  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.43  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.43  # Preprocessing time       : 0.001 s
% 0.16/0.43  # Presaturation interreduction done
% 0.16/0.43  
% 0.16/0.43  # Proof found!
% 0.16/0.43  # SZS status Theorem
% 0.16/0.43  # SZS output start CNFRefutation
% See solution above
% 0.16/0.43  # Parsed axioms                        : 3
% 0.16/0.43  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.43  # Initial clauses                      : 5
% 0.16/0.43  # Removed in clause preprocessing      : 0
% 0.16/0.43  # Initial clauses in saturation        : 5
% 0.16/0.43  # Processed clauses                    : 10
% 0.16/0.43  # ...of these trivial                  : 0
% 0.16/0.43  # ...subsumed                          : 0
% 0.16/0.43  # ...remaining for further processing  : 10
% 0.16/0.43  # Other redundant clauses eliminated   : 0
% 0.16/0.43  # Clauses deleted for lack of memory   : 0
% 0.16/0.43  # Backward-subsumed                    : 0
% 0.16/0.43  # Backward-rewritten                   : 0
% 0.16/0.43  # Generated clauses                    : 2
% 0.16/0.43  # ...of the previous two non-redundant : 1
% 0.16/0.43  # ...aggressively subsumed             : 0
% 0.16/0.43  # Contextual simplify-reflections      : 0
% 0.16/0.43  # Paramodulations                      : 2
% 0.16/0.43  # Factorizations                       : 0
% 0.16/0.43  # NegExts                              : 0
% 0.16/0.43  # Equation resolutions                 : 0
% 0.16/0.43  # Disequality decompositions           : 0
% 0.16/0.43  # Total rewrite steps                  : 2
% 0.16/0.43  # ...of those cached                   : 0
% 0.16/0.43  # Propositional unsat checks           : 0
% 0.16/0.43  #    Propositional check models        : 0
% 0.16/0.43  #    Propositional check unsatisfiable : 0
% 0.16/0.43  #    Propositional clauses             : 0
% 0.16/0.43  #    Propositional clauses after purity: 0
% 0.16/0.43  #    Propositional unsat core size     : 0
% 0.16/0.43  #    Propositional preprocessing time  : 0.000
% 0.16/0.43  #    Propositional encoding time       : 0.000
% 0.16/0.43  #    Propositional solver time         : 0.000
% 0.16/0.43  #    Success case prop preproc time    : 0.000
% 0.16/0.43  #    Success case prop encoding time   : 0.000
% 0.16/0.43  #    Success case prop solver time     : 0.000
% 0.16/0.43  # Current number of processed clauses  : 5
% 0.16/0.43  #    Positive orientable unit clauses  : 3
% 0.16/0.43  #    Positive unorientable unit clauses: 0
% 0.16/0.43  #    Negative unit clauses             : 0
% 0.16/0.43  #    Non-unit-clauses                  : 2
% 0.16/0.43  # Current number of unprocessed clauses: 1
% 0.16/0.43  # ...number of literals in the above   : 3
% 0.16/0.43  # Current number of archived formulas  : 0
% 0.16/0.43  # Current number of archived clauses   : 5
% 0.16/0.43  # Clause-clause subsumption calls (NU) : 1
% 0.16/0.43  # Rec. Clause-clause subsumption calls : 1
% 0.16/0.43  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.43  # Unit Clause-clause subsumption calls : 0
% 0.16/0.43  # Rewrite failures with RHS unbound    : 0
% 0.16/0.43  # BW rewrite match attempts            : 0
% 0.16/0.43  # BW rewrite match successes           : 0
% 0.16/0.43  # Condensation attempts                : 0
% 0.16/0.43  # Condensation successes               : 0
% 0.16/0.43  # Termbank termtop insertions          : 353
% 0.16/0.43  # Search garbage collected termcells   : 64
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.003 s
% 0.16/0.43  # System time              : 0.001 s
% 0.16/0.43  # Total time               : 0.003 s
% 0.16/0.43  # Maximum resident set size: 1664 pages
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.008 s
% 0.16/0.43  # System time              : 0.005 s
% 0.16/0.43  # Total time               : 0.013 s
% 0.16/0.43  # Maximum resident set size: 1684 pages
% 0.16/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------