TSTP Solution File: ALG194+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : ALG194+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n028.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 16:49:41 EDT 2022

% Result   : Theorem 0.22s 1.41s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   22 (   4 unt;   0 def)
%            Number of atoms       :  212 ( 211 equ)
%            Maximal formula atoms :  112 (   9 avg)
%            Number of connectives :  296 ( 106   ~; 114   |;  76   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   53 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ( ( op(e0,e0) != e0
      & op(e1,e1) != e1
      & op(e2,e2) != e2
      & op(e3,e3) != e3
      & op(e4,e4) != e4
      & op(e5,e5) != e5
      & op(e6,e6) != e6 )
    | ( op(e0,e0) = e0
      & op(e1,e1) = e1
      & op(e2,e2) = e2
      & op(e3,e3) = e3
      & op(e4,e4) = e4
      & op(e5,e5) = e5
      & op(e6,e6) = e6 )
    | ( ( op(e0,e0) = e0
        | op(e1,e1) = e1
        | op(e2,e2) = e2
        | op(e3,e3) = e3
        | op(e4,e4) = e4
        | op(e5,e5) = e5
        | op(e6,e6) = e6 )
      & ( op(e0,e0) != e0
        | op(e1,e1) != e1
        | op(e2,e2) != e2
        | op(e3,e3) != e3
        | op(e4,e4) != e4
        | op(e5,e5) != e5
        | op(e6,e6) != e6 ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ( ( op(e0,e0) != e0
        & op(e1,e1) != e1
        & op(e2,e2) != e2
        & op(e3,e3) != e3
        & op(e4,e4) != e4
        & op(e5,e5) != e5
        & op(e6,e6) != e6 )
      | ( op(e0,e0) = e0
        & op(e1,e1) = e1
        & op(e2,e2) = e2
        & op(e3,e3) = e3
        & op(e4,e4) = e4
        & op(e5,e5) = e5
        & op(e6,e6) = e6 )
      | ( ( op(e0,e0) = e0
          | op(e1,e1) = e1
          | op(e2,e2) = e2
          | op(e3,e3) = e3
          | op(e4,e4) = e4
          | op(e5,e5) = e5
          | op(e6,e6) = e6 )
        & ( op(e0,e0) != e0
          | op(e1,e1) != e1
          | op(e2,e2) != e2
          | op(e3,e3) != e3
          | op(e4,e4) != e4
          | op(e5,e5) != e5
          | op(e6,e6) != e6 ) ) ),
    inference(assume_negation,[status(cth)],[co1]) ).

fof(c_0_2,negated_conjecture,
    ( ( op(e0,e0) = e0
      | op(e1,e1) = e1
      | op(e2,e2) = e2
      | op(e3,e3) = e3
      | op(e4,e4) = e4
      | op(e5,e5) = e5
      | op(e6,e6) = e6 )
    & ( op(e0,e0) != e0
      | op(e1,e1) != e1
      | op(e2,e2) != e2
      | op(e3,e3) != e3
      | op(e4,e4) != e4
      | op(e5,e5) != e5
      | op(e6,e6) != e6 )
    & ( op(e0,e0) = e0
      | op(e0,e0) != e0 )
    & ( op(e1,e1) = e1
      | op(e0,e0) != e0 )
    & ( op(e2,e2) = e2
      | op(e0,e0) != e0 )
    & ( op(e3,e3) = e3
      | op(e0,e0) != e0 )
    & ( op(e4,e4) = e4
      | op(e0,e0) != e0 )
    & ( op(e5,e5) = e5
      | op(e0,e0) != e0 )
    & ( op(e6,e6) = e6
      | op(e0,e0) != e0 )
    & ( op(e0,e0) = e0
      | op(e1,e1) != e1 )
    & ( op(e1,e1) = e1
      | op(e1,e1) != e1 )
    & ( op(e2,e2) = e2
      | op(e1,e1) != e1 )
    & ( op(e3,e3) = e3
      | op(e1,e1) != e1 )
    & ( op(e4,e4) = e4
      | op(e1,e1) != e1 )
    & ( op(e5,e5) = e5
      | op(e1,e1) != e1 )
    & ( op(e6,e6) = e6
      | op(e1,e1) != e1 )
    & ( op(e0,e0) = e0
      | op(e2,e2) != e2 )
    & ( op(e1,e1) = e1
      | op(e2,e2) != e2 )
    & ( op(e2,e2) = e2
      | op(e2,e2) != e2 )
    & ( op(e3,e3) = e3
      | op(e2,e2) != e2 )
    & ( op(e4,e4) = e4
      | op(e2,e2) != e2 )
    & ( op(e5,e5) = e5
      | op(e2,e2) != e2 )
    & ( op(e6,e6) = e6
      | op(e2,e2) != e2 )
    & ( op(e0,e0) = e0
      | op(e3,e3) != e3 )
    & ( op(e1,e1) = e1
      | op(e3,e3) != e3 )
    & ( op(e2,e2) = e2
      | op(e3,e3) != e3 )
    & ( op(e3,e3) = e3
      | op(e3,e3) != e3 )
    & ( op(e4,e4) = e4
      | op(e3,e3) != e3 )
    & ( op(e5,e5) = e5
      | op(e3,e3) != e3 )
    & ( op(e6,e6) = e6
      | op(e3,e3) != e3 )
    & ( op(e0,e0) = e0
      | op(e4,e4) != e4 )
    & ( op(e1,e1) = e1
      | op(e4,e4) != e4 )
    & ( op(e2,e2) = e2
      | op(e4,e4) != e4 )
    & ( op(e3,e3) = e3
      | op(e4,e4) != e4 )
    & ( op(e4,e4) = e4
      | op(e4,e4) != e4 )
    & ( op(e5,e5) = e5
      | op(e4,e4) != e4 )
    & ( op(e6,e6) = e6
      | op(e4,e4) != e4 )
    & ( op(e0,e0) = e0
      | op(e5,e5) != e5 )
    & ( op(e1,e1) = e1
      | op(e5,e5) != e5 )
    & ( op(e2,e2) = e2
      | op(e5,e5) != e5 )
    & ( op(e3,e3) = e3
      | op(e5,e5) != e5 )
    & ( op(e4,e4) = e4
      | op(e5,e5) != e5 )
    & ( op(e5,e5) = e5
      | op(e5,e5) != e5 )
    & ( op(e6,e6) = e6
      | op(e5,e5) != e5 )
    & ( op(e0,e0) = e0
      | op(e6,e6) != e6 )
    & ( op(e1,e1) = e1
      | op(e6,e6) != e6 )
    & ( op(e2,e2) = e2
      | op(e6,e6) != e6 )
    & ( op(e3,e3) = e3
      | op(e6,e6) != e6 )
    & ( op(e4,e4) = e4
      | op(e6,e6) != e6 )
    & ( op(e5,e5) = e5
      | op(e6,e6) != e6 )
    & ( op(e6,e6) = e6
      | op(e6,e6) != e6 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])]) ).

cnf(c_0_3,negated_conjecture,
    ( op(e6,e6) = e6
    | op(e5,e5) = e5
    | op(e4,e4) = e4
    | op(e3,e3) = e3
    | op(e2,e2) = e2
    | op(e1,e1) = e1
    | op(e0,e0) = e0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e6,e6) != e6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e5,e5) != e5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e4,e4) != e4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e3,e3) != e3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e2,e2) != e2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    ( op(e0,e0) = e0
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_10,negated_conjecture,
    ( op(e6,e6) = e6
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_11,negated_conjecture,
    op(e0,e0) = e0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_3,c_0_4]),c_0_5]),c_0_6]),c_0_7]),c_0_8]),c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    ( op(e6,e6) != e6
    | op(e5,e5) != e5
    | op(e4,e4) != e4
    | op(e3,e3) != e3
    | op(e2,e2) != e2
    | op(e1,e1) != e1
    | op(e0,e0) != e0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_13,negated_conjecture,
    ( op(e6,e6) = e6
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_14,negated_conjecture,
    ( op(e5,e5) = e5
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_15,negated_conjecture,
    ( op(e4,e4) = e4
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_16,negated_conjecture,
    ( op(e3,e3) = e3
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_17,negated_conjecture,
    ( op(e2,e2) = e2
    | op(e1,e1) != e1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_18,negated_conjecture,
    ( op(e1,e1) = e1
    | op(e6,e6) != e6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_19,negated_conjecture,
    op(e6,e6) = e6,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_11])]) ).

cnf(c_0_20,negated_conjecture,
    op(e1,e1) != e1,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_11])]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : ALG194+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.11/0.32  % Computer : n028.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Wed Jun  8 03:39:31 EDT 2022
% 0.11/0.32  % 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       : 0.061 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             : 22
% 0.22/1.41  # Proof object clause steps            : 19
% 0.22/1.41  # Proof object formula steps           : 3
% 0.22/1.41  # Proof object conjectures             : 22
% 0.22/1.41  # Proof object clause conjectures      : 19
% 0.22/1.41  # Proof object formula conjectures     : 3
% 0.22/1.41  # Proof object initial clauses used    : 15
% 0.22/1.41  # Proof object initial formulas used   : 1
% 0.22/1.41  # Proof object generating inferences   : 0
% 0.22/1.41  # Proof object simplifying inferences  : 18
% 0.22/1.41  # Training examples: 0 positive, 0 negative
% 0.22/1.41  # Parsed axioms                        : 6
% 0.22/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.22/1.41  # Initial clauses                      : 562
% 0.22/1.41  # Removed in clause preprocessing      : 7
% 0.22/1.41  # Initial clauses in saturation        : 555
% 0.22/1.41  # Processed clauses                    : 557
% 0.22/1.41  # ...of these trivial                  : 3
% 0.22/1.41  # ...subsumed                          : 0
% 0.22/1.41  # ...remaining for further processing  : 554
% 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                    : 7
% 0.22/1.41  # Backward-rewritten                   : 36
% 0.22/1.41  # Generated clauses                    : 2398
% 0.22/1.41  # ...of the previous two non-trivial   : 1837
% 0.22/1.41  # Contextual simplify-reflections      : 11
% 0.22/1.41  # Paramodulations                      : 2109
% 0.22/1.41  # Factorizations                       : 286
% 0.22/1.41  # Equation resolutions                 : 0
% 0.22/1.41  # Current number of processed clauses  : 508
% 0.22/1.41  #    Positive orientable unit clauses  : 49
% 0.22/1.41  #    Positive unorientable unit clauses: 0
% 0.22/1.41  #    Negative unit clauses             : 301
% 0.22/1.41  #    Non-unit-clauses                  : 158
% 0.22/1.41  # Current number of unprocessed clauses: 1407
% 0.22/1.41  # ...number of literals in the above   : 10679
% 0.22/1.41  # Current number of archived formulas  : 0
% 0.22/1.41  # Current number of archived clauses   : 46
% 0.22/1.41  # Clause-clause subsumption calls (NU) : 2054
% 0.22/1.41  # Rec. Clause-clause subsumption calls : 46
% 0.22/1.41  # Non-unit clause-clause subsumptions  : 11
% 0.22/1.41  # Unit Clause-clause subsumption calls : 2496
% 0.22/1.41  # Rewrite failures with RHS unbound    : 0
% 0.22/1.41  # BW rewrite match attempts            : 143
% 0.22/1.41  # BW rewrite match successes           : 2
% 0.22/1.41  # Condensation attempts                : 0
% 0.22/1.41  # Condensation successes               : 0
% 0.22/1.41  # Termbank termtop insertions          : 55903
% 0.22/1.41  
% 0.22/1.41  # -------------------------------------------------
% 0.22/1.41  # User time                : 0.264 s
% 0.22/1.41  # System time              : 0.003 s
% 0.22/1.41  # Total time               : 0.267 s
% 0.22/1.41  # Maximum resident set size: 6040 pages
%------------------------------------------------------------------------------