TSTP Solution File: RNG086+2 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : RNG086+2 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 02:37:03 EDT 2024

% Result   : Theorem 0.17s 0.44s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   34 (   9 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :   31 (   7   ~;   4   |;  20   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn   2   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(m__,conjecture,
    ? [X1,X2] :
      ( aElementOf0(X1,xI)
      & aElementOf0(X2,xJ)
      & xx = sdtpldt0(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(m__901,hypothesis,
    ( ? [X1,X2] :
        ( aElementOf0(X1,xI)
        & aElementOf0(X2,xJ)
        & sdtpldt0(X1,X2) = xx )
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & ? [X1,X2] :
        ( aElementOf0(X1,xI)
        & aElementOf0(X2,xJ)
        & sdtpldt0(X1,X2) = xy )
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).

fof(c_0_2,negated_conjecture,
    ~ ? [X1,X2] :
        ( aElementOf0(X1,xI)
        & aElementOf0(X2,xJ)
        & xx = sdtpldt0(X1,X2) ),
    inference(assume_negation,[status(cth)],[m__]) ).

fof(c_0_3,negated_conjecture,
    ! [X17,X18] :
      ( ~ aElementOf0(X17,xI)
      | ~ aElementOf0(X18,xJ)
      | xx != sdtpldt0(X17,X18) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_4,hypothesis,
    ( aElementOf0(esk1_0,xI)
    & aElementOf0(esk2_0,xJ)
    & sdtpldt0(esk1_0,esk2_0) = xx
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & aElementOf0(esk3_0,xI)
    & aElementOf0(esk4_0,xJ)
    & sdtpldt0(esk3_0,esk4_0) = xy
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[m__901])]) ).

cnf(c_0_5,negated_conjecture,
    ( ~ aElementOf0(X1,xI)
    | ~ aElementOf0(X2,xJ)
    | xx != sdtpldt0(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,hypothesis,
    sdtpldt0(esk1_0,esk2_0) = xx,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,hypothesis,
    aElementOf0(esk2_0,xJ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,hypothesis,
    aElementOf0(esk1_0,xI),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : RNG086+2 : TPTP v8.2.0. Released v4.0.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n003.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Sat May 18 12:06:53 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.17/0.43  Running first-order model finding
% 0.17/0.43  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/benchmark/theBenchmark.p
% 0.17/0.44  # Version: 3.1.0
% 0.17/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.17/0.44  # Starting sh5l with 300s (1) cores
% 0.17/0.44  # new_bool_3 with pid 18487 completed with status 0
% 0.17/0.44  # Result found by new_bool_3
% 0.17/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.44  # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.17/0.44  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.17/0.44  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with pid 18490 completed with status 0
% 0.17/0.44  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA
% 0.17/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.17/0.44  # Search class: FGHSF-FFMM32-SFFFFFNN
% 0.17/0.44  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.44  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SA with 163s (1) cores
% 0.17/0.44  # Preprocessing time       : 0.001 s
% 0.17/0.44  # Presaturation interreduction done
% 0.17/0.44  
% 0.17/0.44  # Proof found!
% 0.17/0.44  # SZS status Theorem
% 0.17/0.44  # SZS output start CNFRefutation
% See solution above
% 0.17/0.44  # Parsed axioms                        : 27
% 0.17/0.44  # Removed by relevancy pruning/SinE    : 11
% 0.17/0.44  # Initial clauses                      : 50
% 0.17/0.44  # Removed in clause preprocessing      : 2
% 0.17/0.44  # Initial clauses in saturation        : 48
% 0.17/0.44  # Processed clauses                    : 69
% 0.17/0.44  # ...of these trivial                  : 0
% 0.17/0.44  # ...subsumed                          : 0
% 0.17/0.44  # ...remaining for further processing  : 69
% 0.17/0.44  # Other redundant clauses eliminated   : 6
% 0.17/0.44  # Clauses deleted for lack of memory   : 0
% 0.17/0.44  # Backward-subsumed                    : 0
% 0.17/0.44  # Backward-rewritten                   : 0
% 0.17/0.44  # Generated clauses                    : 15
% 0.17/0.44  # ...of the previous two non-redundant : 12
% 0.17/0.44  # ...aggressively subsumed             : 0
% 0.17/0.44  # Contextual simplify-reflections      : 0
% 0.17/0.44  # Paramodulations                      : 10
% 0.17/0.44  # Factorizations                       : 0
% 0.17/0.44  # NegExts                              : 0
% 0.17/0.44  # Equation resolutions                 : 6
% 0.17/0.44  # Disequality decompositions           : 0
% 0.17/0.44  # Total rewrite steps                  : 10
% 0.17/0.44  # ...of those cached                   : 4
% 0.17/0.44  # Propositional unsat checks           : 0
% 0.17/0.44  #    Propositional check models        : 0
% 0.17/0.44  #    Propositional check unsatisfiable : 0
% 0.17/0.44  #    Propositional clauses             : 0
% 0.17/0.44  #    Propositional clauses after purity: 0
% 0.17/0.44  #    Propositional unsat core size     : 0
% 0.17/0.44  #    Propositional preprocessing time  : 0.000
% 0.17/0.44  #    Propositional encoding time       : 0.000
% 0.17/0.44  #    Propositional solver time         : 0.000
% 0.17/0.44  #    Success case prop preproc time    : 0.000
% 0.17/0.44  #    Success case prop encoding time   : 0.000
% 0.17/0.44  #    Success case prop solver time     : 0.000
% 0.17/0.44  # Current number of processed clauses  : 16
% 0.17/0.44  #    Positive orientable unit clauses  : 13
% 0.17/0.44  #    Positive unorientable unit clauses: 0
% 0.17/0.44  #    Negative unit clauses             : 0
% 0.17/0.44  #    Non-unit-clauses                  : 3
% 0.17/0.44  # Current number of unprocessed clauses: 38
% 0.17/0.44  # ...number of literals in the above   : 141
% 0.17/0.44  # Current number of archived formulas  : 0
% 0.17/0.44  # Current number of archived clauses   : 48
% 0.17/0.44  # Clause-clause subsumption calls (NU) : 189
% 0.17/0.44  # Rec. Clause-clause subsumption calls : 63
% 0.17/0.44  # Non-unit clause-clause subsumptions  : 0
% 0.17/0.44  # Unit Clause-clause subsumption calls : 0
% 0.17/0.44  # Rewrite failures with RHS unbound    : 0
% 0.17/0.44  # BW rewrite match attempts            : 0
% 0.17/0.44  # BW rewrite match successes           : 0
% 0.17/0.44  # Condensation attempts                : 0
% 0.17/0.44  # Condensation successes               : 0
% 0.17/0.44  # Termbank termtop insertions          : 4111
% 0.17/0.44  # Search garbage collected termcells   : 937
% 0.17/0.44  
% 0.17/0.44  # -------------------------------------------------
% 0.17/0.44  # User time                : 0.008 s
% 0.17/0.44  # System time              : 0.001 s
% 0.17/0.44  # Total time               : 0.009 s
% 0.17/0.44  # Maximum resident set size: 1852 pages
% 0.17/0.44  
% 0.17/0.44  # -------------------------------------------------
% 0.17/0.44  # User time                : 0.009 s
% 0.17/0.44  # System time              : 0.003 s
% 0.17/0.44  # Total time               : 0.012 s
% 0.17/0.44  # Maximum resident set size: 1728 pages
% 0.17/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------