TSTP Solution File: SET797+4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SET797+4 : TPTP v8.2.0. Released v3.2.0.
% 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 : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:56:01 EDT 2024

% Result   : Theorem 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   19 (   4 unt;   0 def)
%            Number of atoms       :   60 (   0 equ)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :   59 (  18   ~;  18   |;  13   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :   46 (   0 sgn  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thIV9,conjecture,
    ! [X6,X4] :
      ( order(X6,X4)
     => ! [X3,X5] :
          ( ( subset(X3,X4)
            & subset(X5,X4)
            & subset(X3,X5) )
         => ! [X8] :
              ( upper_bound(X8,X6,X5)
             => upper_bound(X8,X6,X3) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thIV9) ).

fof(upper_bound,axiom,
    ! [X6,X4,X8] :
      ( upper_bound(X8,X6,X4)
    <=> ! [X3] :
          ( member(X3,X4)
         => apply(X6,X3,X8) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+3.ax',upper_bound) ).

fof(subset,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET006+0.ax',subset) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X6,X4] :
        ( order(X6,X4)
       => ! [X3,X5] :
            ( ( subset(X3,X4)
              & subset(X5,X4)
              & subset(X3,X5) )
           => ! [X8] :
                ( upper_bound(X8,X6,X5)
               => upper_bound(X8,X6,X3) ) ) ),
    inference(assume_negation,[status(cth)],[thIV9]) ).

fof(c_0_4,plain,
    ! [X14,X15,X16,X17,X18,X19,X20] :
      ( ( ~ upper_bound(X16,X14,X15)
        | ~ member(X17,X15)
        | apply(X14,X17,X16) )
      & ( member(esk6_3(X18,X19,X20),X19)
        | upper_bound(X20,X18,X19) )
      & ( ~ apply(X18,esk6_3(X18,X19,X20),X20)
        | upper_bound(X20,X18,X19) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[upper_bound])])])])])])]) ).

fof(c_0_5,negated_conjecture,
    ( order(esk1_0,esk2_0)
    & subset(esk3_0,esk2_0)
    & subset(esk4_0,esk2_0)
    & subset(esk3_0,esk4_0)
    & upper_bound(esk5_0,esk1_0,esk4_0)
    & ~ upper_bound(esk5_0,esk1_0,esk3_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6,plain,
    ( apply(X2,X4,X1)
    | ~ upper_bound(X1,X2,X3)
    | ~ member(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    upper_bound(esk5_0,esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_8,plain,
    ! [X22,X23,X24,X25,X26] :
      ( ( ~ subset(X22,X23)
        | ~ member(X24,X22)
        | member(X24,X23) )
      & ( member(esk7_2(X25,X26),X25)
        | subset(X25,X26) )
      & ( ~ member(esk7_2(X25,X26),X26)
        | subset(X25,X26) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[subset])])])])])])]) ).

cnf(c_0_9,plain,
    ( upper_bound(X3,X1,X2)
    | ~ apply(X1,esk6_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    ( apply(esk1_0,X1,esk5_0)
    | ~ member(X1,esk4_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_11,plain,
    ( member(X3,X2)
    | ~ subset(X1,X2)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    subset(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    ( upper_bound(esk5_0,esk1_0,X1)
    | ~ member(esk6_3(esk1_0,X1,esk5_0),esk4_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,negated_conjecture,
    ( member(X1,esk4_0)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ( upper_bound(esk5_0,esk1_0,X1)
    | ~ member(esk6_3(esk1_0,X1,esk5_0),esk3_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,plain,
    ( member(esk6_3(X1,X2,X3),X2)
    | upper_bound(X3,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_17,negated_conjecture,
    ~ upper_bound(esk5_0,esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SET797+4 : TPTP v8.2.0. Released v3.2.0.
% 0.10/0.13  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon May 20 11:32:23 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49  # Version: 3.1.0
% 0.18/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.49  # Starting sh5l with 300s (1) cores
% 0.18/0.49  # new_bool_3 with pid 13288 completed with status 0
% 0.18/0.49  # Result found by new_bool_3
% 0.18/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49  # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.18/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.18/0.49  # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 13291 completed with status 0
% 0.18/0.49  # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 0.18/0.49  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.49  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.49  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.49  # Search class: FGUSF-FFMS32-SFFFFFNN
% 0.18/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.49  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.18/0.49  # Preprocessing time       : 0.002 s
% 0.18/0.49  # Presaturation interreduction done
% 0.18/0.49  
% 0.18/0.49  # Proof found!
% 0.18/0.49  # SZS status Theorem
% 0.18/0.49  # SZS output start CNFRefutation
% See solution above
% 0.18/0.49  # Parsed axioms                        : 22
% 0.18/0.49  # Removed by relevancy pruning/SinE    : 18
% 0.18/0.49  # Initial clauses                      : 77
% 0.18/0.49  # Removed in clause preprocessing      : 0
% 0.18/0.49  # Initial clauses in saturation        : 77
% 0.18/0.49  # Processed clauses                    : 112
% 0.18/0.49  # ...of these trivial                  : 0
% 0.18/0.49  # ...subsumed                          : 1
% 0.18/0.49  # ...remaining for further processing  : 111
% 0.18/0.49  # Other redundant clauses eliminated   : 0
% 0.18/0.49  # Clauses deleted for lack of memory   : 0
% 0.18/0.49  # Backward-subsumed                    : 0
% 0.18/0.49  # Backward-rewritten                   : 0
% 0.18/0.49  # Generated clauses                    : 33
% 0.18/0.49  # ...of the previous two non-redundant : 28
% 0.18/0.49  # ...aggressively subsumed             : 0
% 0.18/0.49  # Contextual simplify-reflections      : 0
% 0.18/0.49  # Paramodulations                      : 33
% 0.18/0.49  # Factorizations                       : 0
% 0.18/0.49  # NegExts                              : 0
% 0.18/0.49  # Equation resolutions                 : 0
% 0.18/0.49  # Disequality decompositions           : 0
% 0.18/0.49  # Total rewrite steps                  : 2
% 0.18/0.49  # ...of those cached                   : 0
% 0.18/0.49  # Propositional unsat checks           : 0
% 0.18/0.49  #    Propositional check models        : 0
% 0.18/0.49  #    Propositional check unsatisfiable : 0
% 0.18/0.49  #    Propositional clauses             : 0
% 0.18/0.49  #    Propositional clauses after purity: 0
% 0.18/0.49  #    Propositional unsat core size     : 0
% 0.18/0.49  #    Propositional preprocessing time  : 0.000
% 0.18/0.49  #    Propositional encoding time       : 0.000
% 0.18/0.49  #    Propositional solver time         : 0.000
% 0.18/0.49  #    Success case prop preproc time    : 0.000
% 0.18/0.49  #    Success case prop encoding time   : 0.000
% 0.18/0.49  #    Success case prop solver time     : 0.000
% 0.18/0.49  # Current number of processed clauses  : 34
% 0.18/0.49  #    Positive orientable unit clauses  : 7
% 0.18/0.49  #    Positive unorientable unit clauses: 0
% 0.18/0.49  #    Negative unit clauses             : 1
% 0.18/0.49  #    Non-unit-clauses                  : 26
% 0.18/0.49  # Current number of unprocessed clauses: 70
% 0.18/0.49  # ...number of literals in the above   : 277
% 0.18/0.49  # Current number of archived formulas  : 0
% 0.18/0.49  # Current number of archived clauses   : 77
% 0.18/0.49  # Clause-clause subsumption calls (NU) : 1070
% 0.18/0.49  # Rec. Clause-clause subsumption calls : 439
% 0.18/0.49  # Non-unit clause-clause subsumptions  : 1
% 0.18/0.49  # Unit Clause-clause subsumption calls : 3
% 0.18/0.49  # Rewrite failures with RHS unbound    : 0
% 0.18/0.49  # BW rewrite match attempts            : 7
% 0.18/0.49  # BW rewrite match successes           : 0
% 0.18/0.49  # Condensation attempts                : 0
% 0.18/0.49  # Condensation successes               : 0
% 0.18/0.49  # Termbank termtop insertions          : 5596
% 0.18/0.49  # Search garbage collected termcells   : 997
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.013 s
% 0.18/0.49  # System time              : 0.003 s
% 0.18/0.49  # Total time               : 0.015 s
% 0.18/0.49  # Maximum resident set size: 1888 pages
% 0.18/0.49  
% 0.18/0.49  # -------------------------------------------------
% 0.18/0.49  # User time                : 0.015 s
% 0.18/0.49  # System time              : 0.004 s
% 0.18/0.49  # Total time               : 0.019 s
% 0.18/0.49  # Maximum resident set size: 1732 pages
% 0.18/0.49  % E---3.1 exiting
% 0.18/0.49  % E exiting
%------------------------------------------------------------------------------