TSTP Solution File: NUN069+2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUN069+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:09:25 EDT 2023

% Result   : Theorem 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   4 unt;   0 def)
%            Number of atoms       :   44 (  14 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   47 (  18   ~;  12   |;  17   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   0 con; 1-1 aty)
%            Number of variables   :   29 (   5 sgn;  10   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(oneeqone,conjecture,
    ? [X39] :
      ( X39 = X39
      & ? [X22] :
          ( r1(X22)
          & r2(X22,X39) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zftnztmWcB/E---3.1_15021.p',oneeqone) ).

fof(axiom_2,axiom,
    ! [X3] :
    ? [X4] :
    ! [X5] :
      ( ( ~ r2(X3,X5)
        & X5 != X4 )
      | ( r2(X3,X5)
        & X5 = X4 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zftnztmWcB/E---3.1_15021.p',axiom_2) ).

fof(axiom_5a,axiom,
    ! [X33] :
    ? [X34] :
      ( ? [X35] :
          ( r1(X35)
          & r4(X33,X35,X34) )
      & ? [X36] :
          ( r1(X36)
          & X34 = X36 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.zftnztmWcB/E---3.1_15021.p',axiom_5a) ).

fof(c_0_3,negated_conjecture,
    ~ ? [X39] :
        ( X39 = X39
        & ? [X22] :
            ( r1(X22)
            & r2(X22,X39) ) ),
    inference(assume_negation,[status(cth)],[oneeqone]) ).

fof(c_0_4,negated_conjecture,
    ! [X44,X45] :
      ( X44 != X44
      | ~ r1(X45)
      | ~ r2(X45,X44) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_5,plain,
    ! [X3] :
    ? [X4] :
    ! [X5] :
      ( ( ~ r2(X3,X5)
        & X5 != X4 )
      | ( r2(X3,X5)
        & X5 = X4 ) ),
    inference(fof_simplification,[status(thm)],[axiom_2]) ).

cnf(c_0_6,negated_conjecture,
    ( $false
    | ~ r1(X2)
    | ~ r2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_7,plain,
    ! [X77] :
      ( r1(esk17_1(X77))
      & r4(X77,esk17_1(X77),esk16_1(X77))
      & r1(esk18_1(X77))
      & esk16_1(X77) = esk18_1(X77) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[axiom_5a])]) ).

fof(c_0_8,plain,
    ! [X46,X48] :
      ( ( r2(X46,X48)
        | ~ r2(X46,X48) )
      & ( X48 = esk1_1(X46)
        | ~ r2(X46,X48) )
      & ( r2(X46,X48)
        | X48 != esk1_1(X46) )
      & ( X48 = esk1_1(X46)
        | X48 != esk1_1(X46) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_5])])]) ).

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

cnf(c_0_10,plain,
    r1(esk18_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( r2(X1,X2)
    | X2 != esk1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ~ r2(esk18_1(X1),X2),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    r2(X1,esk1_1(X1)),
    inference(er,[status(thm)],[c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_12,c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : NUN069+2 : TPTP v8.1.2. Released v7.3.0.
% 0.13/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 2400
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Oct  2 20:44:57 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 0.19/0.46  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/tmp/tmp.zftnztmWcB/E---3.1_15021.p
% 0.19/0.48  # Version: 3.1pre001
% 0.19/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # sh5l with pid 15101 completed with status 0
% 0.19/0.48  # Result found by sh5l
% 0.19/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.48  # Search class: FGHSM-FFMF21-SFFFFFNN
% 0.19/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 163s (1) cores
% 0.19/0.48  # G-E--_208_C18_F1_SE_CS_SP_PS_S4b with pid 15102 completed with status 0
% 0.19/0.48  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S4b
% 0.19/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48  # Starting sh5l with 300s (1) cores
% 0.19/0.48  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.48  # Search class: FGHSM-FFMF21-SFFFFFNN
% 0.19/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S4b with 163s (1) cores
% 0.19/0.48  # Preprocessing time       : 0.001 s
% 0.19/0.48  # Presaturation interreduction done
% 0.19/0.48  
% 0.19/0.48  # Proof found!
% 0.19/0.48  # SZS status Theorem
% 0.19/0.48  # SZS output start CNFRefutation
% See solution above
% 0.19/0.48  # Parsed axioms                        : 12
% 0.19/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.48  # Initial clauses                      : 40
% 0.19/0.48  # Removed in clause preprocessing      : 8
% 0.19/0.48  # Initial clauses in saturation        : 32
% 0.19/0.48  # Processed clauses                    : 61
% 0.19/0.48  # ...of these trivial                  : 0
% 0.19/0.48  # ...subsumed                          : 3
% 0.19/0.48  # ...remaining for further processing  : 58
% 0.19/0.48  # Other redundant clauses eliminated   : 6
% 0.19/0.48  # Clauses deleted for lack of memory   : 0
% 0.19/0.48  # Backward-subsumed                    : 0
% 0.19/0.48  # Backward-rewritten                   : 6
% 0.19/0.48  # Generated clauses                    : 19
% 0.19/0.48  # ...of the previous two non-redundant : 21
% 0.19/0.48  # ...aggressively subsumed             : 0
% 0.19/0.48  # Contextual simplify-reflections      : 0
% 0.19/0.48  # Paramodulations                      : 13
% 0.19/0.48  # Factorizations                       : 0
% 0.19/0.48  # NegExts                              : 0
% 0.19/0.48  # Equation resolutions                 : 6
% 0.19/0.48  # Total rewrite steps                  : 12
% 0.19/0.48  # Propositional unsat checks           : 0
% 0.19/0.48  #    Propositional check models        : 0
% 0.19/0.48  #    Propositional check unsatisfiable : 0
% 0.19/0.48  #    Propositional clauses             : 0
% 0.19/0.48  #    Propositional clauses after purity: 0
% 0.19/0.48  #    Propositional unsat core size     : 0
% 0.19/0.48  #    Propositional preprocessing time  : 0.000
% 0.19/0.48  #    Propositional encoding time       : 0.000
% 0.19/0.48  #    Propositional solver time         : 0.000
% 0.19/0.48  #    Success case prop preproc time    : 0.000
% 0.19/0.48  #    Success case prop encoding time   : 0.000
% 0.19/0.48  #    Success case prop solver time     : 0.000
% 0.19/0.48  # Current number of processed clauses  : 14
% 0.19/0.48  #    Positive orientable unit clauses  : 7
% 0.19/0.48  #    Positive unorientable unit clauses: 0
% 0.19/0.48  #    Negative unit clauses             : 4
% 0.19/0.48  #    Non-unit-clauses                  : 3
% 0.19/0.48  # Current number of unprocessed clauses: 24
% 0.19/0.48  # ...number of literals in the above   : 33
% 0.19/0.48  # Current number of archived formulas  : 0
% 0.19/0.48  # Current number of archived clauses   : 38
% 0.19/0.48  # Clause-clause subsumption calls (NU) : 17
% 0.19/0.48  # Rec. Clause-clause subsumption calls : 17
% 0.19/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.48  # Unit Clause-clause subsumption calls : 31
% 0.19/0.48  # Rewrite failures with RHS unbound    : 0
% 0.19/0.48  # BW rewrite match attempts            : 8
% 0.19/0.48  # BW rewrite match successes           : 4
% 0.19/0.48  # Condensation attempts                : 0
% 0.19/0.48  # Condensation successes               : 0
% 0.19/0.48  # Termbank termtop insertions          : 1382
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.004 s
% 0.19/0.48  # System time              : 0.003 s
% 0.19/0.48  # Total time               : 0.007 s
% 0.19/0.48  # Maximum resident set size: 1864 pages
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.007 s
% 0.19/0.48  # System time              : 0.004 s
% 0.19/0.48  # Total time               : 0.011 s
% 0.19/0.48  # Maximum resident set size: 1712 pages
% 0.19/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------