TSTP Solution File: SEU424+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 19:26:27 EDT 2023

% Result   : Theorem 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   34 (  13   ~;   6   |;   7   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-4 aty)
%            Number of variables   :   24 (   0 sgn;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t18_relset_2,conjecture,
    ! [X1] :
      ( ~ v1_xboole_0(X1)
     => ! [X2,X3] :
          ( m1_subset_1(X3,k1_zfmisc_1(X1))
         => ! [X4] :
              ( m2_relset_1(X4,X1,X2)
             => m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JzoqeXv1iv/E---3.1_3313.p',t18_relset_2) ).

fof(s8_domain_1__e1_22__relset_2,axiom,
    ! [X1,X2,X3,X4] :
      ( ( ~ v1_xboole_0(X1)
        & m1_subset_1(X3,k1_zfmisc_1(X1))
        & m2_relset_1(X4,X1,X2) )
     => m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    file('/export/starexec/sandbox/tmp/tmp.JzoqeXv1iv/E---3.1_3313.p',s8_domain_1__e1_22__relset_2) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1] :
        ( ~ v1_xboole_0(X1)
       => ! [X2,X3] :
            ( m1_subset_1(X3,k1_zfmisc_1(X1))
           => ! [X4] :
                ( m2_relset_1(X4,X1,X2)
               => m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t18_relset_2])]) ).

fof(c_0_3,plain,
    ! [X1,X2,X3,X4] :
      ( ( ~ v1_xboole_0(X1)
        & m1_subset_1(X3,k1_zfmisc_1(X1))
        & m2_relset_1(X4,X1,X2) )
     => m1_subset_1(a_4_0_relset_2(X1,X2,X3,X4),k1_zfmisc_1(k1_zfmisc_1(X2))) ),
    inference(fof_simplification,[status(thm)],[s8_domain_1__e1_22__relset_2]) ).

fof(c_0_4,negated_conjecture,
    ( ~ v1_xboole_0(esk1_0)
    & m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0))
    & m2_relset_1(esk4_0,esk1_0,esk2_0)
    & ~ m1_subset_1(a_4_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k1_zfmisc_1(k1_zfmisc_1(esk2_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_5,plain,
    ! [X49,X50,X51,X52] :
      ( v1_xboole_0(X49)
      | ~ m1_subset_1(X51,k1_zfmisc_1(X49))
      | ~ m2_relset_1(X52,X49,X50)
      | m1_subset_1(a_4_0_relset_2(X49,X50,X51,X52),k1_zfmisc_1(k1_zfmisc_1(X50))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).

cnf(c_0_6,negated_conjecture,
    ~ m1_subset_1(a_4_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0),k1_zfmisc_1(k1_zfmisc_1(esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    ( v1_xboole_0(X1)
    | m1_subset_1(a_4_0_relset_2(X1,X4,X2,X3),k1_zfmisc_1(k1_zfmisc_1(X4)))
    | ~ m1_subset_1(X2,k1_zfmisc_1(X1))
    | ~ m2_relset_1(X3,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    m2_relset_1(esk4_0,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,negated_conjecture,
    ~ v1_xboole_0(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_9])]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11  % Problem    : SEU424+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n028.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   : 2400
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Mon Oct  2 09:47:06 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order theorem proving
% 0.16/0.43  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.JzoqeXv1iv/E---3.1_3313.p
% 0.16/0.44  # Version: 3.1pre001
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # sh5l with pid 3394 completed with status 0
% 0.16/0.44  # Result found by sh5l
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44  # Search class: FGHSM-FFMM32-SFFFFFNN
% 0.16/0.44  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting G-E--_301_C18_F1_URBAN_S0Y with 139s (1) cores
% 0.16/0.44  # G-E--_301_C18_F1_URBAN_S0Y with pid 3399 completed with status 0
% 0.16/0.44  # Result found by G-E--_301_C18_F1_URBAN_S0Y
% 0.16/0.44  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.44  # Search class: FGHSM-FFMM32-SFFFFFNN
% 0.16/0.44  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting G-E--_301_C18_F1_URBAN_S0Y with 139s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.002 s
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Theorem
% 0.16/0.44  # SZS output start CNFRefutation
% See solution above
% 0.16/0.44  # Parsed axioms                        : 43
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 9
% 0.16/0.44  # Initial clauses                      : 50
% 0.16/0.44  # Removed in clause preprocessing      : 0
% 0.16/0.44  # Initial clauses in saturation        : 50
% 0.16/0.44  # Processed clauses                    : 34
% 0.16/0.44  # ...of these trivial                  : 2
% 0.16/0.44  # ...subsumed                          : 0
% 0.16/0.44  # ...remaining for further processing  : 32
% 0.16/0.44  # Other redundant clauses eliminated   : 0
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 0
% 0.16/0.44  # Backward-rewritten                   : 0
% 0.16/0.44  # Generated clauses                    : 14
% 0.16/0.44  # ...of the previous two non-redundant : 10
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 0
% 0.16/0.44  # Paramodulations                      : 14
% 0.16/0.44  # Factorizations                       : 0
% 0.16/0.44  # NegExts                              : 0
% 0.16/0.44  # Equation resolutions                 : 0
% 0.16/0.44  # Total rewrite steps                  : 4
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 32
% 0.16/0.44  #    Positive orientable unit clauses  : 13
% 0.16/0.44  #    Positive unorientable unit clauses: 0
% 0.16/0.44  #    Negative unit clauses             : 5
% 0.16/0.44  #    Non-unit-clauses                  : 14
% 0.16/0.44  # Current number of unprocessed clauses: 25
% 0.16/0.44  # ...number of literals in the above   : 64
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 0
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 7
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 7
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.44  # Unit Clause-clause subsumption calls : 14
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 0
% 0.16/0.44  # BW rewrite match successes           : 0
% 0.16/0.44  # Condensation attempts                : 0
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 2544
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.007 s
% 0.16/0.44  # System time              : 0.001 s
% 0.16/0.44  # Total time               : 0.009 s
% 0.16/0.44  # Maximum resident set size: 1856 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.009 s
% 0.16/0.44  # System time              : 0.003 s
% 0.16/0.44  # Total time               : 0.012 s
% 0.16/0.44  # Maximum resident set size: 1712 pages
% 0.16/0.44  % E---3.1 exiting
% 0.16/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------