TSTP Solution File: NUN089+2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : NUN089+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 09:08:42 EDT 2024

% Result   : Theorem 0.22s 0.53s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   14 (   6 unt;   0 def)
%            Number of atoms       :   35 (   8 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   47 (  26   ~;  17   |;   4   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   22 (   2 sgn  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_7a,axiom,
    ! [X41,X42] :
      ( ! [X43] :
          ( ~ r1(X43)
          | X43 != X42 )
      | ~ r2(X41,X42) ),
    file('/export/starexec/sandbox/tmp/tmp.nqZktFaCxw/E---3.1_10753.p',axiom_7a) ).

fof(zerouneqtwo,conjecture,
    ! [X39] :
      ( ! [X22] :
          ( ! [X23] :
              ( ~ r1(X23)
              | ~ r2(X23,X22) )
          | ~ r2(X22,X39) )
      | ! [X16] :
          ( X16 != X39
          | ~ r1(X16) ) ),
    file('/export/starexec/sandbox/tmp/tmp.nqZktFaCxw/E---3.1_10753.p',zerouneqtwo) ).

fof(c_0_2,plain,
    ! [X41,X42] :
      ( ! [X43] :
          ( ~ r1(X43)
          | X43 != X42 )
      | ~ r2(X41,X42) ),
    inference(fof_simplification,[status(thm)],[axiom_7a]) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X39] :
        ( ! [X22] :
            ( ! [X23] :
                ( ~ r1(X23)
                | ~ r2(X23,X22) )
            | ~ r2(X22,X39) )
        | ! [X16] :
            ( X16 != X39
            | ~ r1(X16) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[zerouneqtwo])]) ).

fof(c_0_4,plain,
    ! [X84,X85,X86] :
      ( ~ r1(X86)
      | X86 != X85
      | ~ r2(X84,X85) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_2])])]) ).

fof(c_0_5,negated_conjecture,
    ( r1(esk23_0)
    & r2(esk23_0,esk22_0)
    & r2(esk22_0,esk21_0)
    & esk24_0 = esk21_0
    & r1(esk24_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_6,plain,
    ( ~ r1(X1)
    | X1 != X2
    | ~ r2(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    r1(esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    esk24_0 = esk21_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( ~ r2(X1,X2)
    | ~ r1(X2) ),
    inference(er,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    r2(esk22_0,esk21_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    r1(esk21_0),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ~ r1(esk21_0),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_11,c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUN089+2 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n004.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 11:53:33 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  Running first-order theorem proving
% 0.22/0.51  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/tmp/tmp.nqZktFaCxw/E---3.1_10753.p
% 0.22/0.53  # Version: 3.1.0
% 0.22/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.53  # Starting sh5l with 300s (1) cores
% 0.22/0.53  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 10844 completed with status 0
% 0.22/0.53  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.22/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.53  # No SInE strategy applied
% 0.22/0.53  # Search class: FGHSM-FFSS21-SFFFFFNN
% 0.22/0.53  # partial match(1): FGHSF-FFSS21-SFFFFFNN
% 0.22/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.22/0.53  # Starting new_bool_3 with 136s (1) cores
% 0.22/0.53  # Starting new_bool_1 with 136s (1) cores
% 0.22/0.53  # Starting sh5l with 136s (1) cores
% 0.22/0.53  # SAT001_MinMin_p005000_rr_RG with pid 10848 completed with status 0
% 0.22/0.53  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.53  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.22/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.53  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.22/0.53  # No SInE strategy applied
% 0.22/0.53  # Search class: FGHSM-FFSS21-SFFFFFNN
% 0.22/0.53  # partial match(1): FGHSF-FFSS21-SFFFFFNN
% 0.22/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.22/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.22/0.53  # Preprocessing time       : 0.002 s
% 0.22/0.53  # Presaturation interreduction done
% 0.22/0.53  
% 0.22/0.53  # Proof found!
% 0.22/0.53  # SZS status Theorem
% 0.22/0.53  # SZS output start CNFRefutation
% See solution above
% 0.22/0.53  # Parsed axioms                        : 12
% 0.22/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.22/0.53  # Initial clauses                      : 44
% 0.22/0.53  # Removed in clause preprocessing      : 12
% 0.22/0.53  # Initial clauses in saturation        : 32
% 0.22/0.53  # Processed clauses                    : 47
% 0.22/0.53  # ...of these trivial                  : 0
% 0.22/0.53  # ...subsumed                          : 0
% 0.22/0.53  # ...remaining for further processing  : 46
% 0.22/0.53  # Other redundant clauses eliminated   : 6
% 0.22/0.53  # Clauses deleted for lack of memory   : 0
% 0.22/0.53  # Backward-subsumed                    : 0
% 0.22/0.53  # Backward-rewritten                   : 0
% 0.22/0.53  # Generated clauses                    : 9
% 0.22/0.53  # ...of the previous two non-redundant : 9
% 0.22/0.53  # ...aggressively subsumed             : 0
% 0.22/0.53  # Contextual simplify-reflections      : 0
% 0.22/0.53  # Paramodulations                      : 3
% 0.22/0.53  # Factorizations                       : 0
% 0.22/0.53  # NegExts                              : 0
% 0.22/0.53  # Equation resolutions                 : 6
% 0.22/0.53  # Disequality decompositions           : 0
% 0.22/0.53  # Total rewrite steps                  : 1
% 0.22/0.53  # ...of those cached                   : 0
% 0.22/0.53  # Propositional unsat checks           : 0
% 0.22/0.53  #    Propositional check models        : 0
% 0.22/0.53  #    Propositional check unsatisfiable : 0
% 0.22/0.53  #    Propositional clauses             : 0
% 0.22/0.53  #    Propositional clauses after purity: 0
% 0.22/0.53  #    Propositional unsat core size     : 0
% 0.22/0.53  #    Propositional preprocessing time  : 0.000
% 0.22/0.53  #    Propositional encoding time       : 0.000
% 0.22/0.53  #    Propositional solver time         : 0.000
% 0.22/0.53  #    Success case prop preproc time    : 0.000
% 0.22/0.53  #    Success case prop encoding time   : 0.000
% 0.22/0.53  #    Success case prop solver time     : 0.000
% 0.22/0.53  # Current number of processed clauses  : 8
% 0.22/0.53  #    Positive orientable unit clauses  : 5
% 0.22/0.53  #    Positive unorientable unit clauses: 0
% 0.22/0.53  #    Negative unit clauses             : 1
% 0.22/0.53  #    Non-unit-clauses                  : 2
% 0.22/0.53  # Current number of unprocessed clauses: 26
% 0.22/0.53  # ...number of literals in the above   : 35
% 0.22/0.53  # Current number of archived formulas  : 0
% 0.22/0.53  # Current number of archived clauses   : 36
% 0.22/0.53  # Clause-clause subsumption calls (NU) : 12
% 0.22/0.53  # Rec. Clause-clause subsumption calls : 9
% 0.22/0.53  # Non-unit clause-clause subsumptions  : 0
% 0.22/0.53  # Unit Clause-clause subsumption calls : 2
% 0.22/0.53  # Rewrite failures with RHS unbound    : 0
% 0.22/0.53  # BW rewrite match attempts            : 6
% 0.22/0.53  # BW rewrite match successes           : 0
% 0.22/0.53  # Condensation attempts                : 0
% 0.22/0.53  # Condensation successes               : 0
% 0.22/0.53  # Termbank termtop insertions          : 1486
% 0.22/0.53  # Search garbage collected termcells   : 302
% 0.22/0.53  
% 0.22/0.53  # -------------------------------------------------
% 0.22/0.53  # User time                : 0.010 s
% 0.22/0.53  # System time              : 0.002 s
% 0.22/0.53  # Total time               : 0.012 s
% 0.22/0.53  # Maximum resident set size: 1836 pages
% 0.22/0.53  
% 0.22/0.53  # -------------------------------------------------
% 0.22/0.53  # User time                : 0.031 s
% 0.22/0.53  # System time              : 0.009 s
% 0.22/0.53  # Total time               : 0.040 s
% 0.22/0.53  # Maximum resident set size: 1732 pages
% 0.22/0.53  % E---3.1 exiting
% 0.22/0.53  % E exiting
%------------------------------------------------------------------------------