TSTP Solution File: ALG017+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ALG017+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 17:59:11 EDT 2024

% Result   : Theorem 0.43s 0.55s
% Output   : CNFRefutation 0.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   4 unt;   0 def)
%            Number of atoms       :   94 (  83 equ)
%            Maximal formula atoms :   32 (   7 avg)
%            Number of connectives :  111 (  30   ~;  18   |;  62   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   2 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( ( op(e0,e0) = e0
          & op(e1,e1) = e0
          & op(e2,e2) = e0
          & op(e3,e3) = e0 )
        | ( op(e0,e0) = e1
          & op(e1,e1) = e1
          & op(e2,e2) = e1
          & op(e3,e3) = e1 )
        | ( op(e0,e0) = e2
          & op(e1,e1) = e2
          & op(e2,e2) = e2
          & op(e3,e3) = e2 )
        | ( op(e0,e0) = e3
          & op(e1,e1) = e3
          & op(e2,e2) = e3
          & op(e3,e3) = e3 ) )
      & ~ ( ( op(e0,e0) = e0
            & op(e1,e1) = e0
            & op(e2,e2) = e0
            & op(e3,e3) = e0 )
          | ( op(e0,e0) = e1
            & op(e1,e1) = e1
            & op(e2,e2) = e1
            & op(e3,e3) = e1 )
          | ( op(e0,e0) = e2
            & op(e1,e1) = e2
            & op(e2,e2) = e2
            & op(e3,e3) = e2 )
          | ( op(e0,e0) = e3
            & op(e1,e1) = e3
            & op(e2,e2) = e3
            & op(e3,e3) = e3 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(ax10,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).

fof(ax11,axiom,
    ( e0 = op(e3,e3)
    & e1 = op(e2,e3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(c_0_3,plain,
    ( epred1_0
  <=> ( ( op(e0,e0) = e0
        & op(e1,e1) = e0
        & op(e2,e2) = e0
        & op(e3,e3) = e0 )
      | ( op(e0,e0) = e1
        & op(e1,e1) = e1
        & op(e2,e2) = e1
        & op(e3,e3) = e1 )
      | ( op(e0,e0) = e2
        & op(e1,e1) = e2
        & op(e2,e2) = e2
        & op(e3,e3) = e2 ) ) ),
    introduced(definition) ).

fof(c_0_4,negated_conjecture,
    ~ ~ ( ( epred1_0
          | ( op(e0,e0) = e3
            & op(e1,e1) = e3
            & op(e2,e2) = e3
            & op(e3,e3) = e3 ) )
        & ~ ( epred1_0
            | ( op(e0,e0) = e3
              & op(e1,e1) = e3
              & op(e2,e2) = e3
              & op(e3,e3) = e3 ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[co1]),c_0_3]),c_0_3]) ).

fof(c_0_5,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    inference(fof_simplification,[status(thm)],[ax10]) ).

fof(c_0_6,negated_conjecture,
    ( ( op(e0,e0) = e3
      | epred1_0 )
    & ( op(e1,e1) = e3
      | epred1_0 )
    & ( op(e2,e2) = e3
      | epred1_0 )
    & ( op(e3,e3) = e3
      | epred1_0 )
    & ~ epred1_0
    & ( op(e0,e0) != e3
      | op(e1,e1) != e3
      | op(e2,e2) != e3
      | op(e3,e3) != e3 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_7,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e1 != e2
    & e1 != e3
    & e2 != e3 ),
    inference(fof_nnf,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    ( op(e3,e3) = e3
    | epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    e0 = op(e3,e3),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_10,plain,
    e0 != e3,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    ~ epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem    : ALG017+1 : TPTP v8.2.0. Released v2.7.0.
% 0.15/0.15  % Command    : run_E %s %d THM
% 0.15/0.37  % Computer : n015.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sat May 18 23:33:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.22/0.53  Running first-order theorem proving
% 0.22/0.53  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.43/0.55  # Version: 3.1.0
% 0.43/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.43/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.43/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.43/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.43/0.55  # Starting sh5l with 300s (1) cores
% 0.43/0.55  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 20743 completed with status 0
% 0.43/0.55  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.43/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.43/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.43/0.55  # No SInE strategy applied
% 0.43/0.55  # Search class: FGHSF-FSLM21-SFFFFFNN
% 0.43/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.43/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.43/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.43/0.55  # Starting new_bool_3 with 136s (1) cores
% 0.43/0.55  # Starting new_bool_1 with 136s (1) cores
% 0.43/0.55  # Starting sh5l with 136s (1) cores
% 0.43/0.55  # SAT001_MinMin_p005000_rr_RG with pid 20747 completed with status 0
% 0.43/0.55  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.43/0.55  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.43/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.43/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.43/0.55  # No SInE strategy applied
% 0.43/0.55  # Search class: FGHSF-FSLM21-SFFFFFNN
% 0.43/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.43/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.43/0.55  # Preprocessing time       : 0.003 s
% 0.43/0.55  # Presaturation interreduction done
% 0.43/0.55  
% 0.43/0.55  # Proof found!
% 0.43/0.55  # SZS status Theorem
% 0.43/0.55  # SZS output start CNFRefutation
% See solution above
% 0.43/0.55  # Parsed axioms                        : 12
% 0.43/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.43/0.55  # Initial clauses                      : 253
% 0.43/0.55  # Removed in clause preprocessing      : 0
% 0.43/0.55  # Initial clauses in saturation        : 253
% 0.43/0.55  # Processed clauses                    : 95
% 0.43/0.55  # ...of these trivial                  : 0
% 0.43/0.55  # ...subsumed                          : 7
% 0.43/0.55  # ...remaining for further processing  : 87
% 0.43/0.55  # Other redundant clauses eliminated   : 0
% 0.43/0.55  # Clauses deleted for lack of memory   : 0
% 0.43/0.55  # Backward-subsumed                    : 0
% 0.43/0.55  # Backward-rewritten                   : 17
% 0.43/0.55  # Generated clauses                    : 0
% 0.43/0.55  # ...of the previous two non-redundant : 17
% 0.43/0.55  # ...aggressively subsumed             : 0
% 0.43/0.55  # Contextual simplify-reflections      : 0
% 0.43/0.55  # Paramodulations                      : 0
% 0.43/0.55  # Factorizations                       : 0
% 0.43/0.55  # NegExts                              : 0
% 0.43/0.55  # Equation resolutions                 : 0
% 0.43/0.55  # Disequality decompositions           : 0
% 0.43/0.55  # Total rewrite steps                  : 25
% 0.43/0.55  # ...of those cached                   : 20
% 0.43/0.55  # Propositional unsat checks           : 0
% 0.43/0.55  #    Propositional check models        : 0
% 0.43/0.55  #    Propositional check unsatisfiable : 0
% 0.43/0.55  #    Propositional clauses             : 0
% 0.43/0.55  #    Propositional clauses after purity: 0
% 0.43/0.55  #    Propositional unsat core size     : 0
% 0.43/0.55  #    Propositional preprocessing time  : 0.000
% 0.43/0.55  #    Propositional encoding time       : 0.000
% 0.43/0.55  #    Propositional solver time         : 0.000
% 0.43/0.55  #    Success case prop preproc time    : 0.000
% 0.43/0.55  #    Success case prop encoding time   : 0.000
% 0.43/0.55  #    Success case prop solver time     : 0.000
% 0.43/0.55  # Current number of processed clauses  : 70
% 0.43/0.55  #    Positive orientable unit clauses  : 18
% 0.43/0.55  #    Positive unorientable unit clauses: 0
% 0.43/0.55  #    Negative unit clauses             : 49
% 0.43/0.55  #    Non-unit-clauses                  : 3
% 0.43/0.55  # Current number of unprocessed clauses: 175
% 0.43/0.55  # ...number of literals in the above   : 452
% 0.43/0.55  # Current number of archived formulas  : 0
% 0.43/0.55  # Current number of archived clauses   : 17
% 0.43/0.55  # Clause-clause subsumption calls (NU) : 0
% 0.43/0.55  # Rec. Clause-clause subsumption calls : 0
% 0.43/0.55  # Non-unit clause-clause subsumptions  : 0
% 0.43/0.55  # Unit Clause-clause subsumption calls : 68
% 0.43/0.55  # Rewrite failures with RHS unbound    : 0
% 0.43/0.55  # BW rewrite match attempts            : 3
% 0.43/0.55  # BW rewrite match successes           : 3
% 0.43/0.55  # Condensation attempts                : 0
% 0.43/0.55  # Condensation successes               : 0
% 0.43/0.55  # Termbank termtop insertions          : 10962
% 0.43/0.55  # Search garbage collected termcells   : 795
% 0.43/0.55  
% 0.43/0.55  # -------------------------------------------------
% 0.43/0.55  # User time                : 0.009 s
% 0.43/0.55  # System time              : 0.004 s
% 0.43/0.55  # Total time               : 0.013 s
% 0.43/0.55  # Maximum resident set size: 2088 pages
% 0.43/0.55  
% 0.43/0.55  # -------------------------------------------------
% 0.43/0.55  # User time                : 0.029 s
% 0.43/0.55  # System time              : 0.009 s
% 0.43/0.55  # Total time               : 0.038 s
% 0.43/0.55  # Maximum resident set size: 1756 pages
% 0.43/0.55  % E---3.1 exiting
% 0.43/0.55  % E exiting
%------------------------------------------------------------------------------