TSTP Solution File: RNG115+4 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : RNG115+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 19:15:12 EDT 2023

% Result   : Theorem 0.18s 0.48s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   72 (  29 equ)
%            Maximal formula atoms :   16 (   6 avg)
%            Number of connectives :   94 (  33   ~;  26   |;  33   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn;   9   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1,X2] :
      ( ( ? [X3] :
            ( aElement0(X3)
            & sdtasdt0(xa,X3) = X1 )
        | aElementOf0(X1,slsdtgt0(xa)) )
      & ( ? [X3] :
            ( aElement0(X3)
            & sdtasdt0(xb,X3) = X2 )
        | aElementOf0(X2,slsdtgt0(xb)) )
      & xu = sdtpldt0(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.RkZqaBVU9k/E---3.1_14684.p',m__) ).

fof(m__2273,hypothesis,
    ( ? [X1,X2] :
        ( aElementOf0(X1,slsdtgt0(xa))
        & aElementOf0(X2,slsdtgt0(xb))
        & sdtpldt0(X1,X2) = xu )
    & aElementOf0(xu,xI)
    & xu != sz00
    & ! [X1] :
        ( ( ( ? [X2,X3] :
                ( aElementOf0(X2,slsdtgt0(xa))
                & aElementOf0(X3,slsdtgt0(xb))
                & sdtpldt0(X2,X3) = X1 )
            | aElementOf0(X1,xI) )
          & X1 != sz00 )
       => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.RkZqaBVU9k/E---3.1_14684.p',m__2273) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X1,X2] :
        ( ( ? [X3] :
              ( aElement0(X3)
              & sdtasdt0(xa,X3) = X1 )
          | aElementOf0(X1,slsdtgt0(xa)) )
        & ( ? [X3] :
              ( aElement0(X3)
              & sdtasdt0(xb,X3) = X2 )
          | aElementOf0(X2,slsdtgt0(xb)) )
        & xu = sdtpldt0(X1,X2) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_3,hypothesis,
    ( ? [X1,X2] :
        ( aElementOf0(X1,slsdtgt0(xa))
        & aElementOf0(X2,slsdtgt0(xb))
        & sdtpldt0(X1,X2) = xu )
    & aElementOf0(xu,xI)
    & xu != sz00
    & ! [X1] :
        ( ( ( ? [X2,X3] :
                ( aElementOf0(X2,slsdtgt0(xa))
                & aElementOf0(X3,slsdtgt0(xb))
                & sdtpldt0(X2,X3) = X1 )
            | aElementOf0(X1,xI) )
          & X1 != sz00 )
       => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
    inference(fof_simplification,[status(thm)],[m__2273]) ).

fof(c_0_4,negated_conjecture,
    ! [X154,X155,X156,X157] :
      ( ( ~ aElement0(X157)
        | sdtasdt0(xb,X157) != X155
        | ~ aElement0(X156)
        | sdtasdt0(xa,X156) != X154
        | xu != sdtpldt0(X154,X155) )
      & ( ~ aElementOf0(X155,slsdtgt0(xb))
        | ~ aElement0(X156)
        | sdtasdt0(xa,X156) != X154
        | xu != sdtpldt0(X154,X155) )
      & ( ~ aElement0(X157)
        | sdtasdt0(xb,X157) != X155
        | ~ aElementOf0(X154,slsdtgt0(xa))
        | xu != sdtpldt0(X154,X155) )
      & ( ~ aElementOf0(X155,slsdtgt0(xb))
        | ~ aElementOf0(X154,slsdtgt0(xa))
        | xu != sdtpldt0(X154,X155) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

fof(c_0_5,hypothesis,
    ! [X149,X150,X151] :
      ( aElementOf0(esk37_0,slsdtgt0(xa))
      & aElementOf0(esk38_0,slsdtgt0(xb))
      & sdtpldt0(esk37_0,esk38_0) = xu
      & aElementOf0(xu,xI)
      & xu != sz00
      & ( ~ aElementOf0(X150,slsdtgt0(xa))
        | ~ aElementOf0(X151,slsdtgt0(xb))
        | sdtpldt0(X150,X151) != X149
        | X149 = sz00
        | ~ iLess0(sbrdtbr0(X149),sbrdtbr0(xu)) )
      & ( ~ aElementOf0(X149,xI)
        | X149 = sz00
        | ~ iLess0(sbrdtbr0(X149),sbrdtbr0(xu)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

cnf(c_0_6,negated_conjecture,
    ( ~ aElementOf0(X1,slsdtgt0(xb))
    | ~ aElementOf0(X2,slsdtgt0(xa))
    | xu != sdtpldt0(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    sdtpldt0(esk37_0,esk38_0) = xu,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,hypothesis,
    aElementOf0(esk37_0,slsdtgt0(xa)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    aElementOf0(esk38_0,slsdtgt0(xb)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : RNG115+4 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 2400
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Oct  2 19:38:53 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  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.RkZqaBVU9k/E---3.1_14684.p
% 0.18/0.48  # Version: 3.1pre001
% 0.18/0.48  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.48  # Starting sh5l with 300s (1) cores
% 0.18/0.48  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 14762 completed with status 0
% 0.18/0.48  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.18/0.48  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.48  # No SInE strategy applied
% 0.18/0.48  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.18/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.18/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.18/0.48  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.18/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.18/0.48  # G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with pid 14775 completed with status 0
% 0.18/0.48  # Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I
% 0.18/0.48  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.18/0.48  # No SInE strategy applied
% 0.18/0.48  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.18/0.48  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.18/0.48  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.18/0.48  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.18/0.48  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.18/0.48  # Preprocessing time       : 0.004 s
% 0.18/0.48  
% 0.18/0.48  # Proof found!
% 0.18/0.48  # SZS status Theorem
% 0.18/0.48  # SZS output start CNFRefutation
% See solution above
% 0.18/0.48  # Parsed axioms                        : 47
% 0.18/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.48  # Initial clauses                      : 192
% 0.18/0.48  # Removed in clause preprocessing      : 4
% 0.18/0.48  # Initial clauses in saturation        : 188
% 0.18/0.48  # Processed clauses                    : 62
% 0.18/0.48  # ...of these trivial                  : 1
% 0.18/0.48  # ...subsumed                          : 0
% 0.18/0.48  # ...remaining for further processing  : 61
% 0.18/0.48  # Other redundant clauses eliminated   : 0
% 0.18/0.48  # Clauses deleted for lack of memory   : 0
% 0.18/0.48  # Backward-subsumed                    : 0
% 0.18/0.48  # Backward-rewritten                   : 0
% 0.18/0.48  # Generated clauses                    : 53
% 0.18/0.48  # ...of the previous two non-redundant : 40
% 0.18/0.48  # ...aggressively subsumed             : 0
% 0.18/0.48  # Contextual simplify-reflections      : 0
% 0.18/0.48  # Paramodulations                      : 53
% 0.18/0.48  # Factorizations                       : 0
% 0.18/0.48  # NegExts                              : 0
% 0.18/0.48  # Equation resolutions                 : 0
% 0.18/0.48  # Total rewrite steps                  : 27
% 0.18/0.48  # Propositional unsat checks           : 0
% 0.18/0.48  #    Propositional check models        : 0
% 0.18/0.48  #    Propositional check unsatisfiable : 0
% 0.18/0.48  #    Propositional clauses             : 0
% 0.18/0.48  #    Propositional clauses after purity: 0
% 0.18/0.48  #    Propositional unsat core size     : 0
% 0.18/0.48  #    Propositional preprocessing time  : 0.000
% 0.18/0.48  #    Propositional encoding time       : 0.000
% 0.18/0.48  #    Propositional solver time         : 0.000
% 0.18/0.48  #    Success case prop preproc time    : 0.000
% 0.18/0.48  #    Success case prop encoding time   : 0.000
% 0.18/0.48  #    Success case prop solver time     : 0.000
% 0.18/0.48  # Current number of processed clauses  : 61
% 0.18/0.48  #    Positive orientable unit clauses  : 36
% 0.18/0.48  #    Positive unorientable unit clauses: 0
% 0.18/0.48  #    Negative unit clauses             : 3
% 0.18/0.48  #    Non-unit-clauses                  : 22
% 0.18/0.48  # Current number of unprocessed clauses: 166
% 0.18/0.48  # ...number of literals in the above   : 590
% 0.18/0.48  # Current number of archived formulas  : 0
% 0.18/0.48  # Current number of archived clauses   : 0
% 0.18/0.48  # Clause-clause subsumption calls (NU) : 84
% 0.18/0.48  # Rec. Clause-clause subsumption calls : 62
% 0.18/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.18/0.48  # Unit Clause-clause subsumption calls : 2
% 0.18/0.48  # Rewrite failures with RHS unbound    : 0
% 0.18/0.48  # BW rewrite match attempts            : 0
% 0.18/0.48  # BW rewrite match successes           : 0
% 0.18/0.48  # Condensation attempts                : 0
% 0.18/0.48  # Condensation successes               : 0
% 0.18/0.48  # Termbank termtop insertions          : 10015
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.011 s
% 0.18/0.48  # System time              : 0.007 s
% 0.18/0.48  # Total time               : 0.018 s
% 0.18/0.48  # Maximum resident set size: 2284 pages
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.040 s
% 0.18/0.48  # System time              : 0.013 s
% 0.18/0.48  # Total time               : 0.053 s
% 0.18/0.48  # Maximum resident set size: 1760 pages
% 0.18/0.48  % E---3.1 exiting
% 0.18/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------