TSTP Solution File: KRS067+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : KRS067+1 : TPTP v8.2.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 : Mon May 20 23:17:16 EDT 2024

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   4 unt;   0 def)
%            Number of atoms       :   96 (   0 equ)
%            Maximal formula atoms :   41 (   4 avg)
%            Number of connectives :  112 (  38   ~;  56   |;  14   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :   19 (   1 sgn   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
    ! [X1] :
      ( cUnsatisfiable(X1)
    <=> ( ( cc(X1)
          & cb(X1) )
        | ( cb(X1)
          & ca(X1) )
        | ( cc(X1)
          & ca(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

fof(axiom_3,axiom,
    ! [X1] :
      ( ca(X1)
     => ~ ( cc(X1)
          | cb(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

fof(axiom_4,axiom,
    ! [X1] :
      ( cb(X1)
     => ~ cc(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

fof(axiom_5,axiom,
    cUnsatisfiable(i2003_11_14_17_18_1956),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(c_0_4,plain,
    ! [X4] :
      ( ( cc(X4)
        | cb(X4)
        | cc(X4)
        | ~ cUnsatisfiable(X4) )
      & ( ca(X4)
        | cb(X4)
        | cc(X4)
        | ~ cUnsatisfiable(X4) )
      & ( cc(X4)
        | ca(X4)
        | cc(X4)
        | ~ cUnsatisfiable(X4) )
      & ( ca(X4)
        | ca(X4)
        | cc(X4)
        | ~ cUnsatisfiable(X4) )
      & ( cc(X4)
        | cb(X4)
        | cb(X4)
        | ~ cUnsatisfiable(X4) )
      & ( ca(X4)
        | cb(X4)
        | cb(X4)
        | ~ cUnsatisfiable(X4) )
      & ( cc(X4)
        | ca(X4)
        | cb(X4)
        | ~ cUnsatisfiable(X4) )
      & ( ca(X4)
        | ca(X4)
        | cb(X4)
        | ~ cUnsatisfiable(X4) )
      & ( ~ cc(X4)
        | ~ cb(X4)
        | cUnsatisfiable(X4) )
      & ( ~ cb(X4)
        | ~ ca(X4)
        | cUnsatisfiable(X4) )
      & ( ~ cc(X4)
        | ~ ca(X4)
        | cUnsatisfiable(X4) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).

fof(c_0_5,plain,
    ! [X5] :
      ( ( ~ cc(X5)
        | ~ ca(X5) )
      & ( ~ cb(X5)
        | ~ ca(X5) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_3])])])]) ).

cnf(c_0_6,plain,
    ( ca(X1)
    | ca(X1)
    | cc(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( cc(X1)
    | cb(X1)
    | cb(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_8,plain,
    ! [X1] :
      ( cb(X1)
     => ~ cc(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_4]) ).

cnf(c_0_9,plain,
    ( ca(X1)
    | ca(X1)
    | cb(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    ( ~ cb(X1)
    | ~ ca(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,plain,
    ( cc(X1)
    | ca(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(cn,[status(thm)],[c_0_6]) ).

cnf(c_0_12,plain,
    ( cc(X1)
    | cb(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(cn,[status(thm)],[c_0_7]) ).

fof(c_0_13,plain,
    ! [X6] :
      ( ~ cb(X6)
      | ~ cc(X6) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

cnf(c_0_14,plain,
    ( ~ cc(X1)
    | ~ ca(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,plain,
    ( cb(X1)
    | ca(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(cn,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    ( cc(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_17,plain,
    ( ~ cb(X1)
    | ~ cc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    ( cb(X1)
    | ~ cUnsatisfiable(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_19,plain,
    cUnsatisfiable(i2003_11_14_17_18_1956),
    inference(split_conjunct,[status(thm)],[axiom_5]) ).

cnf(c_0_20,plain,
    ~ cUnsatisfiable(X1),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_16]) ).

cnf(c_0_21,plain,
    $false,
    inference(sr,[status(thm)],[c_0_19,c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : KRS067+1 : TPTP v8.2.0. Released v3.1.0.
% 0.07/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat May 18 22:31:08 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48  # Version: 3.1.0
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 22193 completed with status 0
% 0.20/0.48  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # No SInE strategy applied
% 0.20/0.48  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.20/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.20/0.48  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.48  # Starting sh5l with 136s (1) cores
% 0.20/0.48  # SAT001_MinMin_p005000_rr_RG with pid 22203 completed with status 0
% 0.20/0.48  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.48  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.48  # No SInE strategy applied
% 0.20/0.48  # Search class: FGHNF-FFSF00-SFFFFFNN
% 0.20/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.48  # Preprocessing time       : 0.001 s
% 0.20/0.48  # Presaturation interreduction done
% 0.20/0.48  
% 0.20/0.48  # Proof found!
% 0.20/0.48  # SZS status Unsatisfiable
% 0.20/0.48  # SZS output start CNFRefutation
% See solution above
% 0.20/0.48  # Parsed axioms                        : 6
% 0.20/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.48  # Initial clauses                      : 19
% 0.20/0.48  # Removed in clause preprocessing      : 1
% 0.20/0.48  # Initial clauses in saturation        : 18
% 0.20/0.48  # Processed clauses                    : 31
% 0.20/0.48  # ...of these trivial                  : 0
% 0.20/0.48  # ...subsumed                          : 8
% 0.20/0.48  # ...remaining for further processing  : 23
% 0.20/0.48  # Other redundant clauses eliminated   : 0
% 0.20/0.48  # Clauses deleted for lack of memory   : 0
% 0.20/0.48  # Backward-subsumed                    : 5
% 0.20/0.48  # Backward-rewritten                   : 0
% 0.20/0.48  # Generated clauses                    : 8
% 0.20/0.48  # ...of the previous two non-redundant : 3
% 0.20/0.48  # ...aggressively subsumed             : 0
% 0.20/0.48  # Contextual simplify-reflections      : 3
% 0.20/0.48  # Paramodulations                      : 7
% 0.20/0.48  # Factorizations                       : 0
% 0.20/0.48  # NegExts                              : 0
% 0.20/0.48  # Equation resolutions                 : 0
% 0.20/0.48  # Disequality decompositions           : 0
% 0.20/0.48  # Total rewrite steps                  : 0
% 0.20/0.48  # ...of those cached                   : 0
% 0.20/0.48  # Propositional unsat checks           : 0
% 0.20/0.48  #    Propositional check models        : 0
% 0.20/0.48  #    Propositional check unsatisfiable : 0
% 0.20/0.48  #    Propositional clauses             : 0
% 0.20/0.48  #    Propositional clauses after purity: 0
% 0.20/0.48  #    Propositional unsat core size     : 0
% 0.20/0.48  #    Propositional preprocessing time  : 0.000
% 0.20/0.48  #    Propositional encoding time       : 0.000
% 0.20/0.48  #    Propositional solver time         : 0.000
% 0.20/0.48  #    Success case prop preproc time    : 0.000
% 0.20/0.48  #    Success case prop encoding time   : 0.000
% 0.20/0.48  #    Success case prop solver time     : 0.000
% 0.20/0.48  # Current number of processed clauses  : 7
% 0.20/0.48  #    Positive orientable unit clauses  : 0
% 0.20/0.48  #    Positive unorientable unit clauses: 0
% 0.20/0.48  #    Negative unit clauses             : 2
% 0.20/0.48  #    Non-unit-clauses                  : 5
% 0.20/0.48  # Current number of unprocessed clauses: 0
% 0.20/0.48  # ...number of literals in the above   : 0
% 0.20/0.48  # Current number of archived formulas  : 0
% 0.20/0.48  # Current number of archived clauses   : 17
% 0.20/0.48  # Clause-clause subsumption calls (NU) : 14
% 0.20/0.48  # Rec. Clause-clause subsumption calls : 14
% 0.20/0.48  # Non-unit clause-clause subsumptions  : 14
% 0.20/0.48  # Unit Clause-clause subsumption calls : 2
% 0.20/0.48  # Rewrite failures with RHS unbound    : 0
% 0.20/0.48  # BW rewrite match attempts            : 0
% 0.20/0.48  # BW rewrite match successes           : 0
% 0.20/0.48  # Condensation attempts                : 0
% 0.20/0.48  # Condensation successes               : 0
% 0.20/0.48  # Termbank termtop insertions          : 874
% 0.20/0.48  # Search garbage collected termcells   : 140
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.004 s
% 0.20/0.48  # System time              : 0.003 s
% 0.20/0.48  # Total time               : 0.007 s
% 0.20/0.48  # Maximum resident set size: 1688 pages
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.012 s
% 0.20/0.48  # System time              : 0.008 s
% 0.20/0.48  # Total time               : 0.019 s
% 0.20/0.48  # Maximum resident set size: 1692 pages
% 0.20/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------