TSTP Solution File: ALG199+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ALG199+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 : Sat May  4 07:15:42 EDT 2024

% Result   : Theorem 0.21s 0.56s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (  13 unt;   0 def)
%            Number of atoms       :  152 ( 151 equ)
%            Maximal formula atoms :   21 (   7 avg)
%            Number of connectives :  246 ( 115   ~;  42   |;  89   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   7 avg)
%            Maximal term depth    :    6 (   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 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sjqJA0vtB0/E---3.1_7074.p',co1) ).

fof(ax6,axiom,
    ( e0 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),op(e5,op(e5,e5)))
    & e1 = op(e5,e5)
    & e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5)))
    & e3 = op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5)
    & e4 = op(e5,op(e5,e5))
    & e6 = op(op(op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),e5),op(e5,op(e5,e5))) ),
    file('/export/starexec/sandbox2/tmp/tmp.sjqJA0vtB0/E---3.1_7074.p',ax6) ).

fof(ax5,axiom,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e0 != e5
    & e0 != e6
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e1 != e5
    & e1 != e6
    & e2 != e3
    & e2 != e4
    & e2 != e5
    & e2 != e6
    & e3 != e4
    & e3 != e5
    & e3 != e6
    & e4 != e5
    & e4 != e6
    & e5 != e6 ),
    file('/export/starexec/sandbox2/tmp/tmp.sjqJA0vtB0/E---3.1_7074.p',ax5) ).

fof(c_0_3,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 ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

cnf(c_0_4,plain,
    e4 = op(e5,op(e5,e5)),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_5,plain,
    e1 = op(e5,e5),
    inference(split_conjunct,[status(thm)],[ax6]) ).

fof(c_0_6,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e0 != e5
    & e0 != e6
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e1 != e5
    & e1 != e6
    & e2 != e3
    & e2 != e4
    & e2 != e5
    & e2 != e6
    & e3 != e4
    & e3 != e5
    & e3 != e6
    & e4 != e5
    & e4 != e6
    & e5 != e6 ),
    inference(fof_simplification,[status(thm)],[ax5]) ).

fof(c_0_7,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 ) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_8,plain,
    e2 = op(op(e5,op(e5,e5)),op(e5,op(e5,e5))),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_9,plain,
    op(e5,e1) = e4,
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

fof(c_0_10,plain,
    ( e0 != e1
    & e0 != e2
    & e0 != e3
    & e0 != e4
    & e0 != e5
    & e0 != e6
    & e1 != e2
    & e1 != e3
    & e1 != e4
    & e1 != e5
    & e1 != e6
    & e2 != e3
    & e2 != e4
    & e2 != e5
    & e2 != e6
    & e3 != e4
    & e3 != e5
    & e3 != e6
    & e4 != e5
    & e4 != e6
    & e5 != e6 ),
    inference(fof_nnf,[status(thm)],[c_0_6]) ).

cnf(c_0_11,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 ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    op(e4,e4) = e2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_5]),c_0_9]),c_0_5]),c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    op(e0,e0) != e0,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,negated_conjecture,
    op(e1,e1) != e1,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_15,negated_conjecture,
    op(e2,e2) != e2,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    op(e3,e3) != e3,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_17,plain,
    e2 != e4,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    e1 != e5,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_19,negated_conjecture,
    op(e6,e6) != e6,
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_5]),c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.16  % Problem    : ALG199+1 : TPTP v8.1.2. Released v2.7.0.
% 0.11/0.17  % Command    : run_E %s %d THM
% 0.15/0.37  % Computer : n022.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   : Fri May  3 13:47:57 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.21/0.53  Running first-order theorem proving
% 0.21/0.53  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.sjqJA0vtB0/E---3.1_7074.p
% 0.21/0.56  # Version: 3.1.0
% 0.21/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.56  # Starting sh5l with 300s (1) cores
% 0.21/0.56  # new_bool_1 with pid 7154 completed with status 0
% 0.21/0.56  # Result found by new_bool_1
% 0.21/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.56  # Search class: FGHPF-FSLM22-MFFFFFNN
% 0.21/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.56  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.21/0.56  # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 7161 completed with status 0
% 0.21/0.56  # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.56  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.21/0.56  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.56  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.21/0.56  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.56  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.56  # Search class: FGHPF-FSLM22-MFFFFFNN
% 0.21/0.56  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.56  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 181s (1) cores
% 0.21/0.56  # Preprocessing time       : 0.004 s
% 0.21/0.56  # Presaturation interreduction done
% 0.21/0.56  
% 0.21/0.56  # Proof found!
% 0.21/0.56  # SZS status Theorem
% 0.21/0.56  # SZS output start CNFRefutation
% See solution above
% 0.21/0.56  # Parsed axioms                        : 7
% 0.21/0.56  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.56  # Initial clauses                      : 526
% 0.21/0.56  # Removed in clause preprocessing      : 0
% 0.21/0.56  # Initial clauses in saturation        : 526
% 0.21/0.56  # Processed clauses                    : 418
% 0.21/0.56  # ...of these trivial                  : 0
% 0.21/0.56  # ...subsumed                          : 7
% 0.21/0.56  # ...remaining for further processing  : 410
% 0.21/0.56  # Other redundant clauses eliminated   : 0
% 0.21/0.56  # Clauses deleted for lack of memory   : 0
% 0.21/0.56  # Backward-subsumed                    : 0
% 0.21/0.56  # Backward-rewritten                   : 36
% 0.21/0.56  # Generated clauses                    : 1
% 0.21/0.56  # ...of the previous two non-redundant : 37
% 0.21/0.56  # ...aggressively subsumed             : 0
% 0.21/0.56  # Contextual simplify-reflections      : 0
% 0.21/0.56  # Paramodulations                      : 0
% 0.21/0.56  # Factorizations                       : 0
% 0.21/0.56  # NegExts                              : 0
% 0.21/0.56  # Equation resolutions                 : 0
% 0.21/0.56  # Disequality decompositions           : 0
% 0.21/0.56  # Total rewrite steps                  : 84
% 0.21/0.56  # ...of those cached                   : 79
% 0.21/0.56  # Propositional unsat checks           : 0
% 0.21/0.56  #    Propositional check models        : 0
% 0.21/0.56  #    Propositional check unsatisfiable : 0
% 0.21/0.56  #    Propositional clauses             : 0
% 0.21/0.56  #    Propositional clauses after purity: 0
% 0.21/0.56  #    Propositional unsat core size     : 0
% 0.21/0.56  #    Propositional preprocessing time  : 0.000
% 0.21/0.56  #    Propositional encoding time       : 0.000
% 0.21/0.56  #    Propositional solver time         : 0.000
% 0.21/0.56  #    Success case prop preproc time    : 0.000
% 0.21/0.56  #    Success case prop encoding time   : 0.000
% 0.21/0.56  #    Success case prop solver time     : 0.000
% 0.21/0.56  # Current number of processed clauses  : 373
% 0.21/0.56  #    Positive orientable unit clauses  : 54
% 0.21/0.56  #    Positive unorientable unit clauses: 0
% 0.21/0.56  #    Negative unit clauses             : 316
% 0.21/0.56  #    Non-unit-clauses                  : 3
% 0.21/0.56  # Current number of unprocessed clauses: 145
% 0.21/0.56  # ...number of literals in the above   : 1009
% 0.21/0.56  # Current number of archived formulas  : 0
% 0.21/0.56  # Current number of archived clauses   : 37
% 0.21/0.56  # Clause-clause subsumption calls (NU) : 4
% 0.21/0.56  # Rec. Clause-clause subsumption calls : 0
% 0.21/0.56  # Non-unit clause-clause subsumptions  : 0
% 0.21/0.56  # Unit Clause-clause subsumption calls : 3372
% 0.21/0.56  # Rewrite failures with RHS unbound    : 0
% 0.21/0.56  # BW rewrite match attempts            : 139
% 0.21/0.56  # BW rewrite match successes           : 3
% 0.21/0.56  # Condensation attempts                : 0
% 0.21/0.56  # Condensation successes               : 0
% 0.21/0.56  # Termbank termtop insertions          : 36276
% 0.21/0.56  # Search garbage collected termcells   : 966
% 0.21/0.56  
% 0.21/0.56  # -------------------------------------------------
% 0.21/0.56  # User time                : 0.016 s
% 0.21/0.56  # System time              : 0.006 s
% 0.21/0.56  # Total time               : 0.022 s
% 0.21/0.56  # Maximum resident set size: 2496 pages
% 0.21/0.56  
% 0.21/0.56  # -------------------------------------------------
% 0.21/0.56  # User time                : 0.021 s
% 0.21/0.56  # System time              : 0.007 s
% 0.21/0.56  # Total time               : 0.029 s
% 0.21/0.56  # Maximum resident set size: 1968 pages
% 0.21/0.56  % E---3.1 exiting
% 0.47/0.56  % E exiting
%------------------------------------------------------------------------------