TSTP Solution File: RNG116+4 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : RNG116+4 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:37:13 EDT 2024

% Result   : Theorem 0.20s 0.52s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   34 (  14 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   30 (   9   ~;   5   |;  16   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn   2   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1,X2] :
      ( aElement0(X1)
      & aElement0(X2)
      & xu = sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(m__2456,hypothesis,
    ( ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xa,X1) = xk )
    & aElementOf0(xk,slsdtgt0(xa))
    & ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xb,X1) = xl )
    & aElementOf0(xl,slsdtgt0(xb))
    & xu = sdtpldt0(xk,xl) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2456) ).

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

fof(c_0_3,negated_conjecture,
    ! [X161,X162] :
      ( ~ aElement0(X161)
      | ~ aElement0(X162)
      | xu != sdtpldt0(sdtasdt0(xa,X161),sdtasdt0(xb,X162)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_4,hypothesis,
    ( aElement0(esk39_0)
    & sdtasdt0(xa,esk39_0) = xk
    & aElementOf0(xk,slsdtgt0(xa))
    & aElement0(esk40_0)
    & sdtasdt0(xb,esk40_0) = xl
    & aElementOf0(xl,slsdtgt0(xb))
    & xu = sdtpldt0(xk,xl) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__2456])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ aElement0(X1)
    | ~ aElement0(X2)
    | xu != sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,hypothesis,
    sdtasdt0(xb,esk40_0) = xl,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    aElement0(esk40_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    ( sdtpldt0(sdtasdt0(xa,X1),xl) != xu
    | ~ aElement0(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7])]) ).

cnf(c_0_9,hypothesis,
    sdtasdt0(xa,esk39_0) = xk,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,hypothesis,
    xu = sdtpldt0(xk,xl),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,hypothesis,
    aElement0(esk39_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : RNG116+4 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n012.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   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat May 18 12:13:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.20/0.52  # Version: 3.1.0
% 0.20/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.52  # Starting sh5l with 300s (1) cores
% 0.20/0.52  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 27260 completed with status 0
% 0.20/0.52  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.20/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52  # No SInE strategy applied
% 0.20/0.52  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.20/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.52  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.20/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.20/0.52  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.20/0.52  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S2S with 136s (1) cores
% 0.20/0.52  # SAT001_MinMin_p005000_rr_RG with pid 27268 completed with status 0
% 0.20/0.52  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.52  # No SInE strategy applied
% 0.20/0.52  # Search class: FGHSF-FSLM31-MFFFFFNN
% 0.20/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.52  # Starting G-E--_110_C45_F1_PI_AE_Q4_CS_SP_PS_S4S with 811s (1) cores
% 0.20/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/0.52  # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.20/0.52  # Preprocessing time       : 0.004 s
% 0.20/0.52  # Presaturation interreduction done
% 0.20/0.52  
% 0.20/0.52  # Proof found!
% 0.20/0.52  # SZS status Theorem
% 0.20/0.52  # SZS output start CNFRefutation
% See solution above
% 0.20/0.52  # Parsed axioms                        : 48
% 0.20/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.52  # Initial clauses                      : 196
% 0.20/0.52  # Removed in clause preprocessing      : 4
% 0.20/0.52  # Initial clauses in saturation        : 192
% 0.20/0.52  # Processed clauses                    : 275
% 0.20/0.52  # ...of these trivial                  : 1
% 0.20/0.52  # ...subsumed                          : 2
% 0.20/0.52  # ...remaining for further processing  : 272
% 0.20/0.52  # Other redundant clauses eliminated   : 22
% 0.20/0.52  # Clauses deleted for lack of memory   : 0
% 0.20/0.52  # Backward-subsumed                    : 0
% 0.20/0.52  # Backward-rewritten                   : 0
% 0.20/0.52  # Generated clauses                    : 43
% 0.20/0.52  # ...of the previous two non-redundant : 32
% 0.20/0.52  # ...aggressively subsumed             : 0
% 0.20/0.52  # Contextual simplify-reflections      : 1
% 0.20/0.52  # Paramodulations                      : 23
% 0.20/0.52  # Factorizations                       : 0
% 0.20/0.52  # NegExts                              : 0
% 0.20/0.52  # Equation resolutions                 : 22
% 0.20/0.52  # Disequality decompositions           : 0
% 0.20/0.52  # Total rewrite steps                  : 27
% 0.20/0.52  # ...of those cached                   : 12
% 0.20/0.52  # Propositional unsat checks           : 0
% 0.20/0.52  #    Propositional check models        : 0
% 0.20/0.52  #    Propositional check unsatisfiable : 0
% 0.20/0.52  #    Propositional clauses             : 0
% 0.20/0.52  #    Propositional clauses after purity: 0
% 0.20/0.52  #    Propositional unsat core size     : 0
% 0.20/0.52  #    Propositional preprocessing time  : 0.000
% 0.20/0.52  #    Propositional encoding time       : 0.000
% 0.20/0.52  #    Propositional solver time         : 0.000
% 0.20/0.52  #    Success case prop preproc time    : 0.000
% 0.20/0.52  #    Success case prop encoding time   : 0.000
% 0.20/0.52  #    Success case prop solver time     : 0.000
% 0.20/0.52  # Current number of processed clauses  : 63
% 0.20/0.52  #    Positive orientable unit clauses  : 37
% 0.20/0.52  #    Positive unorientable unit clauses: 0
% 0.20/0.52  #    Negative unit clauses             : 6
% 0.20/0.52  #    Non-unit-clauses                  : 20
% 0.20/0.52  # Current number of unprocessed clauses: 138
% 0.20/0.52  # ...number of literals in the above   : 511
% 0.20/0.52  # Current number of archived formulas  : 0
% 0.20/0.52  # Current number of archived clauses   : 189
% 0.20/0.52  # Clause-clause subsumption calls (NU) : 3617
% 0.20/0.52  # Rec. Clause-clause subsumption calls : 1071
% 0.20/0.52  # Non-unit clause-clause subsumptions  : 3
% 0.20/0.52  # Unit Clause-clause subsumption calls : 17
% 0.20/0.52  # Rewrite failures with RHS unbound    : 0
% 0.20/0.52  # BW rewrite match attempts            : 0
% 0.20/0.52  # BW rewrite match successes           : 0
% 0.20/0.52  # Condensation attempts                : 0
% 0.20/0.52  # Condensation successes               : 0
% 0.20/0.52  # Termbank termtop insertions          : 13196
% 0.20/0.52  # Search garbage collected termcells   : 2659
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.027 s
% 0.20/0.52  # System time              : 0.005 s
% 0.20/0.52  # Total time               : 0.032 s
% 0.20/0.52  # Maximum resident set size: 2292 pages
% 0.20/0.52  
% 0.20/0.52  # -------------------------------------------------
% 0.20/0.52  # User time                : 0.102 s
% 0.20/0.52  # System time              : 0.018 s
% 0.20/0.52  # Total time               : 0.120 s
% 0.20/0.52  # Maximum resident set size: 1776 pages
% 0.20/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------