TSTP Solution File: RNG121+4 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : RNG121+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n014.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 19:15:51 EDT 2023

% Result   : Theorem 0.17s 0.48s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   4 unt;   0 def)
%            Number of atoms       :   57 (  18 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives :   54 (  11   ~;  10   |;  32   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn;   4   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ? [X1,X2] :
        ( aElementOf0(X1,slsdtgt0(xa))
        & aElementOf0(X2,slsdtgt0(xb))
        & sdtpldt0(X1,X2) = xb )
    | ? [X1,X2] :
        ( aElementOf0(X1,slsdtgt0(xa))
        & aElementOf0(X2,slsdtgt0(xb))
        & sdtpldt0(X1,X2) = xb )
    | aElementOf0(xb,xI) ),
    file('/export/starexec/sandbox2/tmp/tmp.Ki3UKYsMMq/E---3.1_15850.p',m__) ).

fof(mAddZero,axiom,
    ! [X1] :
      ( aElement0(X1)
     => ( sdtpldt0(X1,sz00) = X1
        & X1 = sdtpldt0(sz00,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.Ki3UKYsMMq/E---3.1_15850.p',mAddZero) ).

fof(m__2203,hypothesis,
    ( ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xa,X1) = sz00 )
    & aElementOf0(sz00,slsdtgt0(xa))
    & ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xa,X1) = xa )
    & aElementOf0(xa,slsdtgt0(xa))
    & ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xb,X1) = sz00 )
    & aElementOf0(sz00,slsdtgt0(xb))
    & ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xb,X1) = xb )
    & aElementOf0(xb,slsdtgt0(xb)) ),
    file('/export/starexec/sandbox2/tmp/tmp.Ki3UKYsMMq/E---3.1_15850.p',m__2203) ).

fof(m__2091,hypothesis,
    ( aElement0(xa)
    & aElement0(xb) ),
    file('/export/starexec/sandbox2/tmp/tmp.Ki3UKYsMMq/E---3.1_15850.p',m__2091) ).

fof(c_0_4,negated_conjecture,
    ~ ( ? [X1,X2] :
          ( aElementOf0(X1,slsdtgt0(xa))
          & aElementOf0(X2,slsdtgt0(xb))
          & sdtpldt0(X1,X2) = xb )
      | aElementOf0(xb,xI) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[m__])]) ).

fof(c_0_5,negated_conjecture,
    ! [X160,X161] :
      ( ( ~ aElementOf0(X160,slsdtgt0(xa))
        | ~ aElementOf0(X161,slsdtgt0(xb))
        | sdtpldt0(X160,X161) != xb )
      & ~ aElementOf0(xb,xI) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_6,plain,
    ! [X17] :
      ( ( sdtpldt0(X17,sz00) = X17
        | ~ aElement0(X17) )
      & ( X17 = sdtpldt0(sz00,X17)
        | ~ aElement0(X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[mAddZero])])]) ).

fof(c_0_7,hypothesis,
    ( aElement0(esk28_0)
    & sdtasdt0(xa,esk28_0) = sz00
    & aElementOf0(sz00,slsdtgt0(xa))
    & aElement0(esk29_0)
    & sdtasdt0(xa,esk29_0) = xa
    & aElementOf0(xa,slsdtgt0(xa))
    & aElement0(esk30_0)
    & sdtasdt0(xb,esk30_0) = sz00
    & aElementOf0(sz00,slsdtgt0(xb))
    & aElement0(esk31_0)
    & sdtasdt0(xb,esk31_0) = xb
    & aElementOf0(xb,slsdtgt0(xb)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2203])]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ aElementOf0(X1,slsdtgt0(xa))
    | ~ aElementOf0(X2,slsdtgt0(xb))
    | sdtpldt0(X1,X2) != xb ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( X1 = sdtpldt0(sz00,X1)
    | ~ aElement0(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,hypothesis,
    aElementOf0(sz00,slsdtgt0(xa)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,hypothesis,
    aElementOf0(xb,slsdtgt0(xb)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,hypothesis,
    aElement0(xb),
    inference(split_conjunct,[status(thm)],[m__2091]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])])]),c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : RNG121+4 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n014.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   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 19:43:19 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  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.Ki3UKYsMMq/E---3.1_15850.p
% 0.17/0.48  # Version: 3.1pre001
% 0.17/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.48  # Starting sh5l with 300s (1) cores
% 0.17/0.48  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 15927 completed with status 0
% 0.17/0.48  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.48  # No SInE strategy applied
% 0.17/0.48  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.17/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.48  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.17/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.17/0.48  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.17/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.17/0.48  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with pid 15938 completed with status 0
% 0.17/0.48  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S
% 0.17/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.48  # No SInE strategy applied
% 0.17/0.48  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.17/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.48  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.17/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.17/0.48  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.17/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.17/0.48  # Preprocessing time       : 0.003 s
% 0.17/0.48  # Presaturation interreduction done
% 0.17/0.48  
% 0.17/0.48  # Proof found!
% 0.17/0.48  # SZS status Theorem
% 0.17/0.48  # SZS output start CNFRefutation
% See solution above
% 0.17/0.48  # Parsed axioms                        : 53
% 0.17/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.48  # Initial clauses                      : 207
% 0.17/0.48  # Removed in clause preprocessing      : 4
% 0.17/0.48  # Initial clauses in saturation        : 203
% 0.17/0.48  # Processed clauses                    : 293
% 0.17/0.48  # ...of these trivial                  : 1
% 0.17/0.48  # ...subsumed                          : 8
% 0.17/0.48  # ...remaining for further processing  : 284
% 0.17/0.48  # Other redundant clauses eliminated   : 23
% 0.17/0.48  # Clauses deleted for lack of memory   : 0
% 0.17/0.48  # Backward-subsumed                    : 2
% 0.17/0.48  # Backward-rewritten                   : 2
% 0.17/0.48  # Generated clauses                    : 52
% 0.17/0.48  # ...of the previous two non-redundant : 43
% 0.17/0.48  # ...aggressively subsumed             : 0
% 0.17/0.48  # Contextual simplify-reflections      : 1
% 0.17/0.48  # Paramodulations                      : 31
% 0.17/0.48  # Factorizations                       : 0
% 0.17/0.48  # NegExts                              : 0
% 0.17/0.48  # Equation resolutions                 : 23
% 0.17/0.48  # Total rewrite steps                  : 29
% 0.17/0.48  # Propositional unsat checks           : 0
% 0.17/0.48  #    Propositional check models        : 0
% 0.17/0.48  #    Propositional check unsatisfiable : 0
% 0.17/0.48  #    Propositional clauses             : 0
% 0.17/0.48  #    Propositional clauses after purity: 0
% 0.17/0.48  #    Propositional unsat core size     : 0
% 0.17/0.48  #    Propositional preprocessing time  : 0.000
% 0.17/0.48  #    Propositional encoding time       : 0.000
% 0.17/0.48  #    Propositional solver time         : 0.000
% 0.17/0.48  #    Success case prop preproc time    : 0.000
% 0.17/0.48  #    Success case prop encoding time   : 0.000
% 0.17/0.48  #    Success case prop solver time     : 0.000
% 0.17/0.48  # Current number of processed clauses  : 68
% 0.17/0.48  #    Positive orientable unit clauses  : 48
% 0.17/0.48  #    Positive unorientable unit clauses: 0
% 0.17/0.48  #    Negative unit clauses             : 7
% 0.17/0.48  #    Non-unit-clauses                  : 13
% 0.17/0.48  # Current number of unprocessed clauses: 145
% 0.17/0.48  # ...number of literals in the above   : 521
% 0.17/0.48  # Current number of archived formulas  : 0
% 0.17/0.48  # Current number of archived clauses   : 196
% 0.17/0.48  # Clause-clause subsumption calls (NU) : 2666
% 0.17/0.48  # Rec. Clause-clause subsumption calls : 779
% 0.17/0.48  # Non-unit clause-clause subsumptions  : 6
% 0.17/0.48  # Unit Clause-clause subsumption calls : 13
% 0.17/0.48  # Rewrite failures with RHS unbound    : 0
% 0.17/0.48  # BW rewrite match attempts            : 2
% 0.17/0.48  # BW rewrite match successes           : 2
% 0.17/0.48  # Condensation attempts                : 0
% 0.17/0.48  # Condensation successes               : 0
% 0.17/0.48  # Termbank termtop insertions          : 12240
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.022 s
% 0.17/0.48  # System time              : 0.006 s
% 0.17/0.48  # Total time               : 0.028 s
% 0.17/0.48  # Maximum resident set size: 2292 pages
% 0.17/0.48  
% 0.17/0.48  # -------------------------------------------------
% 0.17/0.48  # User time                : 0.084 s
% 0.17/0.48  # System time              : 0.018 s
% 0.17/0.48  # Total time               : 0.102 s
% 0.17/0.48  # Maximum resident set size: 1760 pages
% 0.17/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------