TSTP Solution File: SEU123+2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SEU123+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 19:24:48 EDT 2023

% Result   : Theorem 0.18s 0.46s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   12 (   6 unt;   0 def)
%            Number of atoms       :   25 (   9 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   22 (   9   ~;   6   |;   4   &)
%                                         (   1 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   11 (   1 sgn;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t3_xboole_1,conjecture,
    ! [X1] :
      ( subset(X1,empty_set)
     => X1 = empty_set ),
    file('/export/starexec/sandbox2/tmp/tmp.5xTAUkolRP/E---3.1_7465.p',t3_xboole_1) ).

fof(d10_xboole_0,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.5xTAUkolRP/E---3.1_7465.p',d10_xboole_0) ).

fof(t2_xboole_1,lemma,
    ! [X1] : subset(empty_set,X1),
    file('/export/starexec/sandbox2/tmp/tmp.5xTAUkolRP/E---3.1_7465.p',t2_xboole_1) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1] :
        ( subset(X1,empty_set)
       => X1 = empty_set ),
    inference(assume_negation,[status(cth)],[t3_xboole_1]) ).

fof(c_0_4,plain,
    ! [X14,X15] :
      ( ( subset(X14,X15)
        | X14 != X15 )
      & ( subset(X15,X14)
        | X14 != X15 )
      & ( ~ subset(X14,X15)
        | ~ subset(X15,X14)
        | X14 = X15 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])]) ).

fof(c_0_5,negated_conjecture,
    ( subset(esk1_0,empty_set)
    & esk1_0 != empty_set ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_6,lemma,
    ! [X12] : subset(empty_set,X12),
    inference(variable_rename,[status(thm)],[t2_xboole_1]) ).

cnf(c_0_7,plain,
    ( X1 = X2
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,negated_conjecture,
    subset(esk1_0,empty_set),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,lemma,
    subset(empty_set,X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    esk1_0 != empty_set,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12  % Problem    : SEU123+2 : TPTP v8.1.2. Released v3.3.0.
% 0.05/0.13  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n011.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 2400
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Mon Oct  2 08:51:08 EDT 2023
% 0.11/0.33  % CPUTime    : 
% 0.18/0.44  Running first-order theorem proving
% 0.18/0.44  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/tmp/tmp.5xTAUkolRP/E---3.1_7465.p
% 0.18/0.46  # Version: 3.1pre001
% 0.18/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.46  # Starting sh5l with 300s (1) cores
% 0.18/0.46  # new_bool_3 with pid 7544 completed with status 0
% 0.18/0.46  # Result found by new_bool_3
% 0.18/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.46  # Search class: FGHSM-FFMS32-SFFFFFNN
% 0.18/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (1) cores
% 0.18/0.46  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 7548 completed with status 0
% 0.18/0.46  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.18/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.18/0.46  # Search class: FGHSM-FFMS32-SFFFFFNN
% 0.18/0.46  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (1) cores
% 0.18/0.46  # Preprocessing time       : 0.001 s
% 0.18/0.46  # Presaturation interreduction done
% 0.18/0.46  
% 0.18/0.46  # Proof found!
% 0.18/0.46  # SZS status Theorem
% 0.18/0.46  # SZS output start CNFRefutation
% See solution above
% 0.18/0.46  # Parsed axioms                        : 23
% 0.18/0.46  # Removed by relevancy pruning/SinE    : 2
% 0.18/0.46  # Initial clauses                      : 36
% 0.18/0.46  # Removed in clause preprocessing      : 0
% 0.18/0.46  # Initial clauses in saturation        : 36
% 0.18/0.46  # Processed clauses                    : 60
% 0.18/0.46  # ...of these trivial                  : 0
% 0.18/0.46  # ...subsumed                          : 2
% 0.18/0.46  # ...remaining for further processing  : 58
% 0.18/0.46  # Other redundant clauses eliminated   : 6
% 0.18/0.46  # Clauses deleted for lack of memory   : 0
% 0.18/0.46  # Backward-subsumed                    : 0
% 0.18/0.46  # Backward-rewritten                   : 1
% 0.18/0.46  # Generated clauses                    : 11
% 0.18/0.46  # ...of the previous two non-redundant : 7
% 0.18/0.46  # ...aggressively subsumed             : 0
% 0.18/0.46  # Contextual simplify-reflections      : 0
% 0.18/0.46  # Paramodulations                      : 5
% 0.18/0.46  # Factorizations                       : 0
% 0.18/0.46  # NegExts                              : 0
% 0.18/0.46  # Equation resolutions                 : 6
% 0.18/0.46  # Total rewrite steps                  : 5
% 0.18/0.46  # Propositional unsat checks           : 0
% 0.18/0.46  #    Propositional check models        : 0
% 0.18/0.46  #    Propositional check unsatisfiable : 0
% 0.18/0.46  #    Propositional clauses             : 0
% 0.18/0.46  #    Propositional clauses after purity: 0
% 0.18/0.46  #    Propositional unsat core size     : 0
% 0.18/0.46  #    Propositional preprocessing time  : 0.000
% 0.18/0.46  #    Propositional encoding time       : 0.000
% 0.18/0.46  #    Propositional solver time         : 0.000
% 0.18/0.46  #    Success case prop preproc time    : 0.000
% 0.18/0.46  #    Success case prop encoding time   : 0.000
% 0.18/0.46  #    Success case prop solver time     : 0.000
% 0.18/0.46  # Current number of processed clauses  : 17
% 0.18/0.46  #    Positive orientable unit clauses  : 6
% 0.18/0.46  #    Positive unorientable unit clauses: 0
% 0.18/0.46  #    Negative unit clauses             : 3
% 0.18/0.46  #    Non-unit-clauses                  : 8
% 0.18/0.46  # Current number of unprocessed clauses: 17
% 0.18/0.46  # ...number of literals in the above   : 40
% 0.18/0.46  # Current number of archived formulas  : 0
% 0.18/0.46  # Current number of archived clauses   : 35
% 0.18/0.46  # Clause-clause subsumption calls (NU) : 42
% 0.18/0.46  # Rec. Clause-clause subsumption calls : 38
% 0.18/0.46  # Non-unit clause-clause subsumptions  : 2
% 0.18/0.46  # Unit Clause-clause subsumption calls : 1
% 0.18/0.46  # Rewrite failures with RHS unbound    : 0
% 0.18/0.46  # BW rewrite match attempts            : 10
% 0.18/0.46  # BW rewrite match successes           : 5
% 0.18/0.46  # Condensation attempts                : 0
% 0.18/0.46  # Condensation successes               : 0
% 0.18/0.46  # Termbank termtop insertions          : 1926
% 0.18/0.46  
% 0.18/0.46  # -------------------------------------------------
% 0.18/0.46  # User time                : 0.003 s
% 0.18/0.46  # System time              : 0.004 s
% 0.18/0.46  # Total time               : 0.007 s
% 0.18/0.46  # Maximum resident set size: 1876 pages
% 0.18/0.46  
% 0.18/0.46  # -------------------------------------------------
% 0.18/0.46  # User time                : 0.006 s
% 0.18/0.46  # System time              : 0.004 s
% 0.18/0.46  # Total time               : 0.010 s
% 0.18/0.46  # Maximum resident set size: 1692 pages
% 0.18/0.46  % E---3.1 exiting
% 0.18/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------