TSTP Solution File: SEU188+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SEU188+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n031.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 19:25:09 EDT 2023

% Result   : Theorem 0.21s 0.50s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   6 unt;   0 def)
%            Number of atoms       :   52 (  16 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   51 (  21   ~;  15   |;   6   &)
%                                         (   0 <=>;   9  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   13 (   0 sgn;  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(fc6_relat_1,axiom,
    ! [X1] :
      ( ( ~ empty(X1)
        & relation(X1) )
     => ~ empty(relation_rng(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.MHjTDydxtl/E---3.1_24232.p',fc6_relat_1) ).

fof(t64_relat_1,conjecture,
    ! [X1] :
      ( relation(X1)
     => ( ( relation_dom(X1) = empty_set
          | relation_rng(X1) = empty_set )
       => X1 = empty_set ) ),
    file('/export/starexec/sandbox/tmp/tmp.MHjTDydxtl/E---3.1_24232.p',t64_relat_1) ).

fof(fc5_relat_1,axiom,
    ! [X1] :
      ( ( ~ empty(X1)
        & relation(X1) )
     => ~ empty(relation_dom(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.MHjTDydxtl/E---3.1_24232.p',fc5_relat_1) ).

fof(fc1_xboole_0,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/tmp/tmp.MHjTDydxtl/E---3.1_24232.p',fc1_xboole_0) ).

fof(t6_boole,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    file('/export/starexec/sandbox/tmp/tmp.MHjTDydxtl/E---3.1_24232.p',t6_boole) ).

fof(c_0_5,plain,
    ! [X1] :
      ( ( ~ empty(X1)
        & relation(X1) )
     => ~ empty(relation_rng(X1)) ),
    inference(fof_simplification,[status(thm)],[fc6_relat_1]) ).

fof(c_0_6,negated_conjecture,
    ~ ! [X1] :
        ( relation(X1)
       => ( ( relation_dom(X1) = empty_set
            | relation_rng(X1) = empty_set )
         => X1 = empty_set ) ),
    inference(assume_negation,[status(cth)],[t64_relat_1]) ).

fof(c_0_7,plain,
    ! [X1] :
      ( ( ~ empty(X1)
        & relation(X1) )
     => ~ empty(relation_dom(X1)) ),
    inference(fof_simplification,[status(thm)],[fc5_relat_1]) ).

fof(c_0_8,plain,
    ! [X20] :
      ( empty(X20)
      | ~ relation(X20)
      | ~ empty(relation_rng(X20)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).

fof(c_0_9,negated_conjecture,
    ( relation(esk1_0)
    & ( relation_dom(esk1_0) = empty_set
      | relation_rng(esk1_0) = empty_set )
    & esk1_0 != empty_set ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).

fof(c_0_10,plain,
    ! [X32] :
      ( empty(X32)
      | ~ relation(X32)
      | ~ empty(relation_dom(X32)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])]) ).

cnf(c_0_11,plain,
    ( empty(X1)
    | ~ relation(X1)
    | ~ empty(relation_rng(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,negated_conjecture,
    ( relation_dom(esk1_0) = empty_set
    | relation_rng(esk1_0) = empty_set ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    relation(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[fc1_xboole_0]) ).

fof(c_0_15,plain,
    ! [X9] :
      ( ~ empty(X9)
      | X9 = empty_set ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t6_boole])]) ).

cnf(c_0_16,plain,
    ( empty(X1)
    | ~ relation(X1)
    | ~ empty(relation_dom(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,negated_conjecture,
    ( relation_dom(esk1_0) = empty_set
    | empty(esk1_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]) ).

cnf(c_0_18,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    empty(esk1_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_13]),c_0_14])]) ).

cnf(c_0_20,negated_conjecture,
    esk1_0 != empty_set,
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SEU188+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 08:49:13 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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/tmp/tmp.MHjTDydxtl/E---3.1_24232.p
% 0.21/0.50  # Version: 3.1pre001
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # Starting sh5l with 300s (1) cores
% 0.21/0.50  # new_bool_1 with pid 24341 completed with status 0
% 0.21/0.50  # Result found by new_bool_1
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FGHSF-FFMM31-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.21/0.50  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with pid 24347 completed with status 0
% 0.21/0.50  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN
% 0.21/0.50  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.50  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.50  # Search class: FGHSF-FFMM31-SFFFFFNN
% 0.21/0.50  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04BN with 181s (1) cores
% 0.21/0.50  # Preprocessing time       : 0.002 s
% 0.21/0.50  # Presaturation interreduction done
% 0.21/0.50  
% 0.21/0.50  # Proof found!
% 0.21/0.50  # SZS status Theorem
% 0.21/0.50  # SZS output start CNFRefutation
% See solution above
% 0.21/0.50  # Parsed axioms                        : 34
% 0.21/0.50  # Removed by relevancy pruning/SinE    : 14
% 0.21/0.50  # Initial clauses                      : 33
% 0.21/0.50  # Removed in clause preprocessing      : 0
% 0.21/0.50  # Initial clauses in saturation        : 33
% 0.21/0.50  # Processed clauses                    : 60
% 0.21/0.50  # ...of these trivial                  : 1
% 0.21/0.50  # ...subsumed                          : 0
% 0.21/0.50  # ...remaining for further processing  : 59
% 0.21/0.50  # Other redundant clauses eliminated   : 4
% 0.21/0.50  # Clauses deleted for lack of memory   : 0
% 0.21/0.50  # Backward-subsumed                    : 0
% 0.21/0.50  # Backward-rewritten                   : 4
% 0.21/0.50  # Generated clauses                    : 10
% 0.21/0.50  # ...of the previous two non-redundant : 8
% 0.21/0.50  # ...aggressively subsumed             : 0
% 0.21/0.50  # Contextual simplify-reflections      : 0
% 0.21/0.50  # Paramodulations                      : 6
% 0.21/0.50  # Factorizations                       : 0
% 0.21/0.50  # NegExts                              : 0
% 0.21/0.50  # Equation resolutions                 : 4
% 0.21/0.50  # Total rewrite steps                  : 13
% 0.21/0.50  # Propositional unsat checks           : 0
% 0.21/0.50  #    Propositional check models        : 0
% 0.21/0.50  #    Propositional check unsatisfiable : 0
% 0.21/0.50  #    Propositional clauses             : 0
% 0.21/0.50  #    Propositional clauses after purity: 0
% 0.21/0.50  #    Propositional unsat core size     : 0
% 0.21/0.50  #    Propositional preprocessing time  : 0.000
% 0.21/0.50  #    Propositional encoding time       : 0.000
% 0.21/0.50  #    Propositional solver time         : 0.000
% 0.21/0.50  #    Success case prop preproc time    : 0.000
% 0.21/0.50  #    Success case prop encoding time   : 0.000
% 0.21/0.50  #    Success case prop solver time     : 0.000
% 0.21/0.50  # Current number of processed clauses  : 19
% 0.21/0.50  #    Positive orientable unit clauses  : 7
% 0.21/0.50  #    Positive unorientable unit clauses: 0
% 0.21/0.50  #    Negative unit clauses             : 4
% 0.21/0.50  #    Non-unit-clauses                  : 8
% 0.21/0.50  # Current number of unprocessed clauses: 13
% 0.21/0.50  # ...number of literals in the above   : 40
% 0.21/0.50  # Current number of archived formulas  : 0
% 0.21/0.50  # Current number of archived clauses   : 36
% 0.21/0.50  # Clause-clause subsumption calls (NU) : 46
% 0.21/0.50  # Rec. Clause-clause subsumption calls : 44
% 0.21/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.21/0.50  # Unit Clause-clause subsumption calls : 4
% 0.21/0.50  # Rewrite failures with RHS unbound    : 0
% 0.21/0.50  # BW rewrite match attempts            : 3
% 0.21/0.50  # BW rewrite match successes           : 3
% 0.21/0.50  # Condensation attempts                : 0
% 0.21/0.50  # Condensation successes               : 0
% 0.21/0.50  # Termbank termtop insertions          : 1992
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.006 s
% 0.21/0.50  # System time              : 0.003 s
% 0.21/0.50  # Total time               : 0.009 s
% 0.21/0.50  # Maximum resident set size: 1820 pages
% 0.21/0.50  
% 0.21/0.50  # -------------------------------------------------
% 0.21/0.50  # User time                : 0.007 s
% 0.21/0.50  # System time              : 0.005 s
% 0.21/0.50  # Total time               : 0.013 s
% 0.21/0.50  # Maximum resident set size: 1692 pages
% 0.21/0.50  % E---3.1 exiting
% 0.21/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------