TSTP Solution File: RNG125+4 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : RNG125+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 0.17s 0.46s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   50 (  12 equ)
%            Maximal formula atoms :   24 (   4 avg)
%            Number of connectives :   71 (  32   ~;  20   |;  19   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   0 sgn;   2   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__2383,hypothesis,
    ~ ( ( ? [X1] :
            ( aElement0(X1)
            & sdtasdt0(xu,X1) = xa )
        | doDivides0(xu,xa)
        | aDivisorOf0(xu,xa) )
      & ( ? [X1] :
            ( aElement0(X1)
            & sdtasdt0(xu,X1) = xb )
        | doDivides0(xu,xb)
        | aDivisorOf0(xu,xb) ) ),
    file('/export/starexec/sandbox/tmp/tmp.p1lqp2104c/E---3.1_1329.p',m__2383) ).

fof(m__2479,hypothesis,
    ~ ~ ( ? [X1] :
            ( aElement0(X1)
            & sdtasdt0(xu,X1) = xa )
        & doDivides0(xu,xa) ),
    file('/export/starexec/sandbox/tmp/tmp.p1lqp2104c/E---3.1_1329.p',m__2479) ).

fof(m__2612,hypothesis,
    ~ ~ ( ? [X1] :
            ( aElement0(X1)
            & sdtasdt0(xu,X1) = xb )
        & doDivides0(xu,xb) ),
    file('/export/starexec/sandbox/tmp/tmp.p1lqp2104c/E---3.1_1329.p',m__2612) ).

fof(c_0_3,hypothesis,
    ! [X152,X153] :
      ( ( ~ aElement0(X153)
        | sdtasdt0(xu,X153) != xb
        | ~ aElement0(X152)
        | sdtasdt0(xu,X152) != xa )
      & ( ~ doDivides0(xu,xb)
        | ~ aElement0(X152)
        | sdtasdt0(xu,X152) != xa )
      & ( ~ aDivisorOf0(xu,xb)
        | ~ aElement0(X152)
        | sdtasdt0(xu,X152) != xa )
      & ( ~ aElement0(X153)
        | sdtasdt0(xu,X153) != xb
        | ~ doDivides0(xu,xa) )
      & ( ~ doDivides0(xu,xb)
        | ~ doDivides0(xu,xa) )
      & ( ~ aDivisorOf0(xu,xb)
        | ~ doDivides0(xu,xa) )
      & ( ~ aElement0(X153)
        | sdtasdt0(xu,X153) != xb
        | ~ aDivisorOf0(xu,xa) )
      & ( ~ doDivides0(xu,xb)
        | ~ aDivisorOf0(xu,xa) )
      & ( ~ aDivisorOf0(xu,xb)
        | ~ aDivisorOf0(xu,xa) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2383])])])]) ).

fof(c_0_4,hypothesis,
    ( aElement0(esk41_0)
    & sdtasdt0(xu,esk41_0) = xa
    & doDivides0(xu,xa) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2479])])]) ).

fof(c_0_5,hypothesis,
    ( aElement0(esk42_0)
    & sdtasdt0(xu,esk42_0) = xb
    & doDivides0(xu,xb) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2612])])]) ).

cnf(c_0_6,hypothesis,
    ( ~ doDivides0(xu,xb)
    | ~ doDivides0(xu,xa) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,hypothesis,
    doDivides0(xu,xa),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    doDivides0(xu,xb),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,hypothesis,
    ~ doDivides0(xu,xb),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_10,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_8,c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : RNG125+4 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n005.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 19:42:16 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order theorem proving
% 0.17/0.43  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.p1lqp2104c/E---3.1_1329.p
% 0.17/0.46  # Version: 3.1pre001
% 0.17/0.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46  # Starting sh5l with 300s (1) cores
% 0.17/0.46  # sh5l with pid 1411 completed with status 8
% 0.17/0.46  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1408 completed with status 0
% 0.17/0.46  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.17/0.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.46  # No SInE strategy applied
% 0.17/0.46  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.17/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.17/0.46  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.17/0.46  # SAT001_MinMin_p005000_rr_RG with pid 1425 completed with status 0
% 0.17/0.46  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.17/0.46  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.17/0.46  # No SInE strategy applied
% 0.17/0.46  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.17/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.17/0.46  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.17/0.46  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.17/0.46  # Preprocessing time       : 0.003 s
% 0.17/0.46  # Presaturation interreduction done
% 0.17/0.46  
% 0.17/0.46  # Proof found!
% 0.17/0.46  # SZS status ContradictoryAxioms
% 0.17/0.46  # SZS output start CNFRefutation
% See solution above
% 0.17/0.46  # Parsed axioms                        : 50
% 0.17/0.46  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.46  # Initial clauses                      : 198
% 0.17/0.46  # Removed in clause preprocessing      : 5
% 0.17/0.46  # Initial clauses in saturation        : 193
% 0.17/0.46  # Processed clauses                    : 45
% 0.17/0.46  # ...of these trivial                  : 1
% 0.17/0.46  # ...subsumed                          : 0
% 0.17/0.46  # ...remaining for further processing  : 43
% 0.17/0.46  # Other redundant clauses eliminated   : 0
% 0.17/0.46  # Clauses deleted for lack of memory   : 0
% 0.17/0.46  # Backward-subsumed                    : 2
% 0.17/0.46  # Backward-rewritten                   : 2
% 0.17/0.46  # Generated clauses                    : 0
% 0.17/0.46  # ...of the previous two non-redundant : 2
% 0.17/0.46  # ...aggressively subsumed             : 0
% 0.17/0.46  # Contextual simplify-reflections      : 0
% 0.17/0.46  # Paramodulations                      : 0
% 0.17/0.46  # Factorizations                       : 0
% 0.17/0.46  # NegExts                              : 0
% 0.17/0.46  # Equation resolutions                 : 0
% 0.17/0.46  # Total rewrite steps                  : 3
% 0.17/0.46  # Propositional unsat checks           : 0
% 0.17/0.46  #    Propositional check models        : 0
% 0.17/0.46  #    Propositional check unsatisfiable : 0
% 0.17/0.46  #    Propositional clauses             : 0
% 0.17/0.46  #    Propositional clauses after purity: 0
% 0.17/0.46  #    Propositional unsat core size     : 0
% 0.17/0.46  #    Propositional preprocessing time  : 0.000
% 0.17/0.46  #    Propositional encoding time       : 0.000
% 0.17/0.46  #    Propositional solver time         : 0.000
% 0.17/0.46  #    Success case prop preproc time    : 0.000
% 0.17/0.46  #    Success case prop encoding time   : 0.000
% 0.17/0.46  #    Success case prop solver time     : 0.000
% 0.17/0.46  # Current number of processed clauses  : 39
% 0.17/0.46  #    Positive orientable unit clauses  : 31
% 0.17/0.46  #    Positive unorientable unit clauses: 0
% 0.17/0.46  #    Negative unit clauses             : 5
% 0.17/0.46  #    Non-unit-clauses                  : 3
% 0.17/0.46  # Current number of unprocessed clauses: 150
% 0.17/0.46  # ...number of literals in the above   : 561
% 0.17/0.46  # Current number of archived formulas  : 0
% 0.17/0.46  # Current number of archived clauses   : 4
% 0.17/0.46  # Clause-clause subsumption calls (NU) : 17
% 0.17/0.46  # Rec. Clause-clause subsumption calls : 17
% 0.17/0.46  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.46  # Unit Clause-clause subsumption calls : 5
% 0.17/0.46  # Rewrite failures with RHS unbound    : 0
% 0.17/0.46  # BW rewrite match attempts            : 1
% 0.17/0.46  # BW rewrite match successes           : 1
% 0.17/0.46  # Condensation attempts                : 0
% 0.17/0.46  # Condensation successes               : 0
% 0.17/0.46  # Termbank termtop insertions          : 9399
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.010 s
% 0.17/0.46  # System time              : 0.004 s
% 0.17/0.46  # Total time               : 0.014 s
% 0.17/0.46  # Maximum resident set size: 2292 pages
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.039 s
% 0.17/0.46  # System time              : 0.013 s
% 0.17/0.46  # Total time               : 0.052 s
% 0.17/0.46  # Maximum resident set size: 1764 pages
% 0.17/0.46  % E---3.1 exiting
% 0.17/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------