TSTP Solution File: RNG124+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : RNG124+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 19:15:14 EDT 2023

% Result   : ContradictoryAxioms 0.18s 0.48s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (   8 unt;   0 def)
%            Number of atoms       :   38 (  15 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   37 (  15   ~;   8   |;  12   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn;   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2273,hypothesis,
    ( aElementOf0(xu,xI)
    & xu != sz00
    & ! [X1] :
        ( ( aElementOf0(X1,xI)
          & X1 != sz00 )
       => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.oQZFSpUbok/E---3.1_7267.p',m__2273) ).

fof(m__2174,hypothesis,
    ( aIdeal0(xI)
    & xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)) ),
    file('/export/starexec/sandbox/tmp/tmp.oQZFSpUbok/E---3.1_7267.p',m__2174) ).

fof(m__2666,hypothesis,
    ( aElement0(xq)
    & aElement0(xr)
    & xb = sdtpldt0(sdtasdt0(xq,xu),xr)
    & ( xr = sz00
      | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.oQZFSpUbok/E---3.1_7267.p',m__2666) ).

fof(m__2673,hypothesis,
    xr != sz00,
    file('/export/starexec/sandbox/tmp/tmp.oQZFSpUbok/E---3.1_7267.p',m__2673) ).

fof(m__2729,hypothesis,
    aElementOf0(xr,xI),
    file('/export/starexec/sandbox/tmp/tmp.oQZFSpUbok/E---3.1_7267.p',m__2729) ).

fof(c_0_5,hypothesis,
    ( aElementOf0(xu,xI)
    & xu != sz00
    & ! [X1] :
        ( ( aElementOf0(X1,xI)
          & X1 != sz00 )
       => ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ) ),
    inference(fof_simplification,[status(thm)],[m__2273]) ).

fof(c_0_6,hypothesis,
    ! [X8] :
      ( aElementOf0(xu,xI)
      & xu != sz00
      & ( ~ aElementOf0(X8,xI)
        | X8 = sz00
        | ~ iLess0(sbrdtbr0(X8),sbrdtbr0(xu)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

cnf(c_0_7,hypothesis,
    ( X1 = sz00
    | ~ aElementOf0(X1,xI)
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_8,hypothesis,
    xI = sdtpldt1(slsdtgt0(xa),slsdtgt0(xb)),
    inference(split_conjunct,[status(thm)],[m__2174]) ).

cnf(c_0_9,hypothesis,
    ( xr = sz00
    | iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ),
    inference(split_conjunct,[status(thm)],[m__2666]) ).

cnf(c_0_10,hypothesis,
    xr != sz00,
    inference(split_conjunct,[status(thm)],[m__2673]) ).

cnf(c_0_11,hypothesis,
    aElementOf0(xr,xI),
    inference(split_conjunct,[status(thm)],[m__2729]) ).

cnf(c_0_12,hypothesis,
    ( X1 = sz00
    | ~ iLess0(sbrdtbr0(X1),sbrdtbr0(xu))
    | ~ aElementOf0(X1,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))) ),
    inference(rw,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,hypothesis,
    iLess0(sbrdtbr0(xr),sbrdtbr0(xu)),
    inference(sr,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,hypothesis,
    aElementOf0(xr,sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),
    inference(rw,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_15,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : RNG124+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 20:14:00 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  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.oQZFSpUbok/E---3.1_7267.p
% 0.18/0.48  # Version: 3.1pre001
% 0.18/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr 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  # sh5l with pid 7348 completed with status 8
% 0.18/0.48  # new_bool_1 with pid 7347 completed with status 0
% 0.18/0.48  # Result found by new_bool_1
% 0.18/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr 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  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.48  # Search class: FGHSF-FFMM32-MFFFFFNN
% 0.18/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48  # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 181s (1) cores
% 0.18/0.48  # G-E--_208_B07_F1_SE_CS_SP_PS_S4d with pid 7355 completed with status 0
% 0.18/0.48  # Result found by G-E--_208_B07_F1_SE_CS_SP_PS_S4d
% 0.18/0.48  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.18/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr 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  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.48  # Search class: FGHSF-FFMM32-MFFFFFNN
% 0.18/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.48  # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 181s (1) cores
% 0.18/0.48  # Preprocessing time       : 0.005 s
% 0.18/0.48  # Presaturation interreduction done
% 0.18/0.48  
% 0.18/0.48  # Proof found!
% 0.18/0.48  # SZS status ContradictoryAxioms
% 0.18/0.48  # SZS output start CNFRefutation
% See solution above
% 0.18/0.48  # Parsed axioms                        : 56
% 0.18/0.48  # Removed by relevancy pruning/SinE    : 5
% 0.18/0.48  # Initial clauses                      : 106
% 0.18/0.48  # Removed in clause preprocessing      : 5
% 0.18/0.48  # Initial clauses in saturation        : 101
% 0.18/0.48  # Processed clauses                    : 215
% 0.18/0.48  # ...of these trivial                  : 1
% 0.18/0.48  # ...subsumed                          : 9
% 0.18/0.48  # ...remaining for further processing  : 205
% 0.18/0.48  # Other redundant clauses eliminated   : 12
% 0.18/0.48  # Clauses deleted for lack of memory   : 0
% 0.18/0.48  # Backward-subsumed                    : 1
% 0.18/0.48  # Backward-rewritten                   : 10
% 0.18/0.48  # Generated clauses                    : 148
% 0.18/0.48  # ...of the previous two non-redundant : 120
% 0.18/0.48  # ...aggressively subsumed             : 0
% 0.18/0.48  # Contextual simplify-reflections      : 1
% 0.18/0.48  # Paramodulations                      : 138
% 0.18/0.48  # Factorizations                       : 0
% 0.18/0.48  # NegExts                              : 0
% 0.18/0.48  # Equation resolutions                 : 12
% 0.18/0.48  # Total rewrite steps                  : 122
% 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  : 83
% 0.18/0.48  #    Positive orientable unit clauses  : 37
% 0.18/0.48  #    Positive unorientable unit clauses: 0
% 0.18/0.48  #    Negative unit clauses             : 6
% 0.18/0.48  #    Non-unit-clauses                  : 40
% 0.18/0.48  # Current number of unprocessed clauses: 107
% 0.18/0.48  # ...number of literals in the above   : 345
% 0.18/0.48  # Current number of archived formulas  : 0
% 0.18/0.48  # Current number of archived clauses   : 112
% 0.18/0.48  # Clause-clause subsumption calls (NU) : 1667
% 0.18/0.48  # Rec. Clause-clause subsumption calls : 647
% 0.18/0.48  # Non-unit clause-clause subsumptions  : 11
% 0.18/0.48  # Unit Clause-clause subsumption calls : 16
% 0.18/0.48  # Rewrite failures with RHS unbound    : 0
% 0.18/0.48  # BW rewrite match attempts            : 4
% 0.18/0.48  # BW rewrite match successes           : 4
% 0.18/0.48  # Condensation attempts                : 0
% 0.18/0.48  # Condensation successes               : 0
% 0.18/0.48  # Termbank termtop insertions          : 8358
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.014 s
% 0.18/0.48  # System time              : 0.007 s
% 0.18/0.48  # Total time               : 0.020 s
% 0.18/0.48  # Maximum resident set size: 2044 pages
% 0.18/0.48  
% 0.18/0.48  # -------------------------------------------------
% 0.18/0.48  # User time                : 0.023 s
% 0.18/0.48  # System time              : 0.011 s
% 0.18/0.48  # Total time               : 0.034 s
% 0.18/0.48  # Maximum resident set size: 1744 pages
% 0.18/0.48  % E---3.1 exiting
% 0.18/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------