TSTP Solution File: NUM557+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : NUM557+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 19:07:42 EDT 2023

% Result   : Theorem 0.17s 0.47s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   31 (   9 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   32 (  11   ~;   9   |;   9   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ( ( ( ! [X1] :
            ( aElementOf0(X1,xP)
           => aElementOf0(X1,xS) )
        | aSubsetOf0(xP,xS) )
      & sbrdtbr0(xP) = xk )
    | aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    file('/export/starexec/sandbox2/tmp/tmp.G0vbgHvGRh/E---3.1_13201.p',m__) ).

fof(m__2431,hypothesis,
    ( ! [X1] :
        ( aElementOf0(X1,xP)
       => aElementOf0(X1,xS) )
    & aSubsetOf0(xP,xS)
    & sbrdtbr0(xP) = xk ),
    file('/export/starexec/sandbox2/tmp/tmp.G0vbgHvGRh/E---3.1_13201.p',m__2431) ).

fof(c_0_2,negated_conjecture,
    ~ ( ( ( ! [X1] :
              ( aElementOf0(X1,xP)
             => aElementOf0(X1,xS) )
          | aSubsetOf0(xP,xS) )
        & sbrdtbr0(xP) = xk )
      | aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_3,negated_conjecture,
    ( ( aElementOf0(esk16_0,xP)
      | sbrdtbr0(xP) != xk )
    & ( ~ aElementOf0(esk16_0,xS)
      | sbrdtbr0(xP) != xk )
    & ( ~ aSubsetOf0(xP,xS)
      | sbrdtbr0(xP) != xk )
    & ~ aElementOf0(xP,slbdtsldtrb0(xS,xk)) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

fof(c_0_4,hypothesis,
    ! [X141] :
      ( ( ~ aElementOf0(X141,xP)
        | aElementOf0(X141,xS) )
      & aSubsetOf0(xP,xS)
      & sbrdtbr0(xP) = xk ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[m__2431])])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ aSubsetOf0(xP,xS)
    | sbrdtbr0(xP) != xk ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,hypothesis,
    sbrdtbr0(xP) = xk,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    aSubsetOf0(xP,xS),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    ~ aSubsetOf0(xP,xS),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6])]) ).

cnf(c_0_9,hypothesis,
    $false,
    inference(sr,[status(thm)],[c_0_7,c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : NUM557+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n029.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 14:51:51 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.G0vbgHvGRh/E---3.1_13201.p
% 0.17/0.47  # Version: 3.1pre001
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.47  # Starting sh5l with 300s (1) cores
% 0.17/0.47  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 13278 completed with status 0
% 0.17/0.47  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # No SInE strategy applied
% 0.17/0.47  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.17/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.47  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.17/0.47  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.17/0.47  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.17/0.47  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 13284 completed with status 0
% 0.17/0.47  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.17/0.47  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.17/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.17/0.47  # No SInE strategy applied
% 0.17/0.47  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.17/0.47  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.47  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.17/0.47  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.17/0.47  # Preprocessing time       : 0.003 s
% 0.17/0.47  # Presaturation interreduction done
% 0.17/0.47  
% 0.17/0.47  # Proof found!
% 0.17/0.47  # SZS status Theorem
% 0.17/0.47  # SZS output start CNFRefutation
% See solution above
% 0.17/0.47  # Parsed axioms                        : 73
% 0.17/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.47  # Initial clauses                      : 178
% 0.17/0.47  # Removed in clause preprocessing      : 6
% 0.17/0.47  # Initial clauses in saturation        : 172
% 0.17/0.47  # Processed clauses                    : 5
% 0.17/0.47  # ...of these trivial                  : 0
% 0.17/0.47  # ...subsumed                          : 0
% 0.17/0.47  # ...remaining for further processing  : 4
% 0.17/0.47  # Other redundant clauses eliminated   : 0
% 0.17/0.47  # Clauses deleted for lack of memory   : 0
% 0.17/0.47  # Backward-subsumed                    : 0
% 0.17/0.47  # Backward-rewritten                   : 0
% 0.17/0.47  # Generated clauses                    : 0
% 0.17/0.47  # ...of the previous two non-redundant : 0
% 0.17/0.47  # ...aggressively subsumed             : 0
% 0.17/0.47  # Contextual simplify-reflections      : 0
% 0.17/0.47  # Paramodulations                      : 0
% 0.17/0.47  # Factorizations                       : 0
% 0.17/0.47  # NegExts                              : 0
% 0.17/0.47  # Equation resolutions                 : 0
% 0.17/0.47  # Total rewrite steps                  : 2
% 0.17/0.47  # Propositional unsat checks           : 0
% 0.17/0.47  #    Propositional check models        : 0
% 0.17/0.47  #    Propositional check unsatisfiable : 0
% 0.17/0.47  #    Propositional clauses             : 0
% 0.17/0.47  #    Propositional clauses after purity: 0
% 0.17/0.47  #    Propositional unsat core size     : 0
% 0.17/0.47  #    Propositional preprocessing time  : 0.000
% 0.17/0.47  #    Propositional encoding time       : 0.000
% 0.17/0.47  #    Propositional solver time         : 0.000
% 0.17/0.47  #    Success case prop preproc time    : 0.000
% 0.17/0.47  #    Success case prop encoding time   : 0.000
% 0.17/0.47  #    Success case prop solver time     : 0.000
% 0.17/0.47  # Current number of processed clauses  : 4
% 0.17/0.47  #    Positive orientable unit clauses  : 1
% 0.17/0.47  #    Positive unorientable unit clauses: 0
% 0.17/0.47  #    Negative unit clauses             : 3
% 0.17/0.47  #    Non-unit-clauses                  : 0
% 0.17/0.47  # Current number of unprocessed clauses: 167
% 0.17/0.47  # ...number of literals in the above   : 557
% 0.17/0.47  # Current number of archived formulas  : 0
% 0.17/0.47  # Current number of archived clauses   : 0
% 0.17/0.47  # Clause-clause subsumption calls (NU) : 0
% 0.17/0.47  # Rec. Clause-clause subsumption calls : 0
% 0.17/0.47  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.47  # Unit Clause-clause subsumption calls : 0
% 0.17/0.47  # Rewrite failures with RHS unbound    : 0
% 0.17/0.47  # BW rewrite match attempts            : 0
% 0.17/0.47  # BW rewrite match successes           : 0
% 0.17/0.47  # Condensation attempts                : 0
% 0.17/0.47  # Condensation successes               : 0
% 0.17/0.47  # Termbank termtop insertions          : 10158
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.009 s
% 0.17/0.47  # System time              : 0.007 s
% 0.17/0.47  # Total time               : 0.016 s
% 0.17/0.47  # Maximum resident set size: 2292 pages
% 0.17/0.47  
% 0.17/0.47  # -------------------------------------------------
% 0.17/0.47  # User time                : 0.022 s
% 0.17/0.47  # System time              : 0.012 s
% 0.17/0.47  # Total time               : 0.034 s
% 0.17/0.47  # Maximum resident set size: 1768 pages
% 0.17/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------