TSTP Solution File: SET688+4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SET688+4 : TPTP v8.2.0. Released v2.2.0.
% 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 02:55:19 EDT 2024

% Result   : Theorem 272.29s 136.68s
% Output   : CNFRefutation 272.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   67 (  28   ~;  19   |;  15   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   33 (   0 sgn  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(thI04,conjecture,
    ! [X1,X2,X6] :
      ( ( subset(X1,X2)
        & ~ equal_set(X1,X2)
        & subset(X2,X6)
        & ~ equal_set(X2,X6) )
     => ~ equal_set(X1,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI04) ).

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

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

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2,X6] :
        ( ( subset(X1,X2)
          & ~ equal_set(X1,X2)
          & subset(X2,X6)
          & ~ equal_set(X2,X6) )
       => ~ equal_set(X1,X6) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[thI04])]) ).

fof(c_0_4,plain,
    ! [X10,X11] :
      ( ( subset(X10,X11)
        | ~ equal_set(X10,X11) )
      & ( subset(X11,X10)
        | ~ equal_set(X10,X11) )
      & ( ~ subset(X10,X11)
        | ~ subset(X11,X10)
        | equal_set(X10,X11) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[equal_set])])])]) ).

fof(c_0_5,negated_conjecture,
    ( subset(esk1_0,esk2_0)
    & ~ equal_set(esk1_0,esk2_0)
    & subset(esk2_0,esk3_0)
    & ~ equal_set(esk2_0,esk3_0)
    & equal_set(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])])])]) ).

fof(c_0_6,plain,
    ! [X12,X13,X14,X15,X16] :
      ( ( ~ subset(X12,X13)
        | ~ member(X14,X12)
        | member(X14,X13) )
      & ( member(esk4_2(X15,X16),X15)
        | subset(X15,X16) )
      & ( ~ member(esk4_2(X15,X16),X16)
        | subset(X15,X16) ) ),
    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_7,plain,
    ( subset(X1,X2)
    | ~ equal_set(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    equal_set(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( member(X3,X2)
    | ~ subset(X1,X2)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    subset(esk3_0,esk1_0),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    ( subset(X1,X2)
    | ~ member(esk4_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ( member(X1,esk1_0)
    | ~ member(X1,esk3_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    subset(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,negated_conjecture,
    ( subset(X1,esk1_0)
    | ~ member(esk4_2(X1,esk1_0),esk3_0) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,negated_conjecture,
    ( member(X1,esk3_0)
    | ~ member(X1,esk2_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    ~ equal_set(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_17,plain,
    ( equal_set(X1,X2)
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_18,negated_conjecture,
    subset(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19,negated_conjecture,
    ( subset(X1,esk1_0)
    | ~ member(esk4_2(X1,esk1_0),esk2_0) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    ( member(esk4_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_21,negated_conjecture,
    ~ subset(esk2_0,esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SET688+4 : TPTP v8.2.0. Released v2.2.0.
% 0.10/0.11  % 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   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon May 20 12:48:38 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  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/benchmark/theBenchmark.p
% 272.29/136.68  # Version: 3.1.0
% 272.29/136.68  # Preprocessing class: FSMSSMSSSSSNFFN.
% 272.29/136.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.29/136.68  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 272.29/136.68  # Starting new_bool_3 with 300s (1) cores
% 272.29/136.68  # Starting new_bool_1 with 300s (1) cores
% 272.29/136.68  # Starting sh5l with 300s (1) cores
% 272.29/136.68  # new_bool_3 with pid 485 completed with status 0
% 272.29/136.68  # Result found by new_bool_3
% 272.29/136.68  # Preprocessing class: FSMSSMSSSSSNFFN.
% 272.29/136.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.29/136.68  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 272.29/136.68  # Starting new_bool_3 with 300s (1) cores
% 272.29/136.68  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 272.29/136.68  # Search class: FGUNF-FFSS22-SFFFFFNN
% 272.29/136.68  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 272.29/136.68  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 272.29/136.68  # SAT001_MinMin_p005000_rr_RG with pid 500 completed with status 0
% 272.29/136.68  # Result found by SAT001_MinMin_p005000_rr_RG
% 272.29/136.68  # Preprocessing class: FSMSSMSSSSSNFFN.
% 272.29/136.68  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 272.29/136.68  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 272.29/136.68  # Starting new_bool_3 with 300s (1) cores
% 272.29/136.68  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 272.29/136.68  # Search class: FGUNF-FFSS22-SFFFFFNN
% 272.29/136.68  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 272.29/136.68  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 272.29/136.68  # Preprocessing time       : 0.001 s
% 272.29/136.68  # Presaturation interreduction done
% 272.29/136.68  
% 272.29/136.68  # Proof found!
% 272.29/136.68  # SZS status Theorem
% 272.29/136.68  # SZS output start CNFRefutation
% See solution above
% 272.29/136.68  # Parsed axioms                        : 12
% 272.29/136.68  # Removed by relevancy pruning/SinE    : 9
% 272.29/136.68  # Initial clauses                      : 11
% 272.29/136.68  # Removed in clause preprocessing      : 0
% 272.29/136.68  # Initial clauses in saturation        : 11
% 272.29/136.68  # Processed clauses                    : 35
% 272.29/136.68  # ...of these trivial                  : 0
% 272.29/136.68  # ...subsumed                          : 0
% 272.29/136.68  # ...remaining for further processing  : 35
% 272.29/136.68  # Other redundant clauses eliminated   : 0
% 272.29/136.68  # Clauses deleted for lack of memory   : 0
% 272.29/136.68  # Backward-subsumed                    : 0
% 272.29/136.68  # Backward-rewritten                   : 0
% 272.29/136.68  # Generated clauses                    : 24
% 272.29/136.68  # ...of the previous two non-redundant : 16
% 272.29/136.68  # ...aggressively subsumed             : 0
% 272.29/136.68  # Contextual simplify-reflections      : 0
% 272.29/136.68  # Paramodulations                      : 24
% 272.29/136.68  # Factorizations                       : 0
% 272.29/136.68  # NegExts                              : 0
% 272.29/136.68  # Equation resolutions                 : 0
% 272.29/136.68  # Disequality decompositions           : 0
% 272.29/136.68  # Total rewrite steps                  : 4
% 272.29/136.68  # ...of those cached                   : 1
% 272.29/136.68  # Propositional unsat checks           : 0
% 272.29/136.68  #    Propositional check models        : 0
% 272.29/136.68  #    Propositional check unsatisfiable : 0
% 272.29/136.68  #    Propositional clauses             : 0
% 272.29/136.68  #    Propositional clauses after purity: 0
% 272.29/136.68  #    Propositional unsat core size     : 0
% 272.29/136.68  #    Propositional preprocessing time  : 0.000
% 272.29/136.68  #    Propositional encoding time       : 0.000
% 272.29/136.68  #    Propositional solver time         : 0.000
% 272.29/136.68  #    Success case prop preproc time    : 0.000
% 272.29/136.68  #    Success case prop encoding time   : 0.000
% 272.29/136.68  #    Success case prop solver time     : 0.000
% 272.29/136.68  # Current number of processed clauses  : 24
% 272.29/136.68  #    Positive orientable unit clauses  : 6
% 272.29/136.68  #    Positive unorientable unit clauses: 0
% 272.29/136.68  #    Negative unit clauses             : 4
% 272.29/136.68  #    Non-unit-clauses                  : 14
% 272.29/136.68  # Current number of unprocessed clauses: 3
% 272.29/136.68  # ...number of literals in the above   : 6
% 272.29/136.68  # Current number of archived formulas  : 0
% 272.29/136.68  # Current number of archived clauses   : 11
% 272.29/136.68  # Clause-clause subsumption calls (NU) : 12
% 272.29/136.68  # Rec. Clause-clause subsumption calls : 12
% 272.29/136.68  # Non-unit clause-clause subsumptions  : 0
% 272.29/136.68  # Unit Clause-clause subsumption calls : 4
% 272.29/136.68  # Rewrite failures with RHS unbound    : 0
% 272.29/136.68  # BW rewrite match attempts            : 8
% 272.29/136.68  # BW rewrite match successes           : 0
% 272.29/136.68  # Condensation attempts                : 0
% 272.29/136.68  # Condensation successes               : 0
% 272.29/136.68  # Termbank termtop insertions          : 943
% 272.29/136.68  # Search garbage collected termcells   : 246
% 272.29/136.68  
% 272.29/136.68  # -------------------------------------------------
% 272.29/136.68  # User time                : 0.004 s
% 272.29/136.68  # System time              : 0.002 s
% 272.29/136.68  # Total time               : 0.006 s
% 272.29/136.68  # Maximum resident set size: 1740 pages
% 272.29/136.68  
% 272.29/136.68  # -------------------------------------------------
% 272.29/136.68  # User time                : 0.007 s
% 272.29/136.68  # System time              : 0.003 s
% 272.29/136.68  # Total time               : 0.010 s
% 272.29/136.68  # Maximum resident set size: 1708 pages
% 272.29/136.68  % E---3.1 exiting
% 272.29/136.68  % E exiting
%------------------------------------------------------------------------------