TSTP Solution File: SEU424+4 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SEU424+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n002.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 : Sat May  4 09:31:50 EDT 2024

% Result   : Theorem 12.76s 8.35s
% Output   : CNFRefutation 12.76s
% 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.ERoxCQCVTo/E---3.1_11965.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.ERoxCQCVTo/E---3.1_11965.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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

fof(c_0_5,plain,
    ! [X100,X101,X102,X103] :
      ( v1_xboole_0(X100)
      | ~ m1_subset_1(X102,k1_zfmisc_1(X100))
      | ~ m2_relset_1(X103,X100,X101)
      | m1_subset_1(a_4_0_relset_2(X100,X101,X102,X103),k1_zfmisc_1(k1_zfmisc_1(X101))) ),
    inference(fof_nnf,[status(thm)],[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
% 0.04/0.12  % Problem    : SEU424+4 : TPTP v8.1.2. Released v3.4.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n002.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   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 08:15:52 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 4.92/5.12  Running first-order model finding
% 4.92/5.12  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ERoxCQCVTo/E---3.1_11965.p
% 12.76/8.35  # Version: 3.1.0
% 12.76/8.35  # Preprocessing class: FMLLMLLLSSSNFFN.
% 12.76/8.35  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 12.76/8.35  # Starting new_bool_3 with 894s (3) cores
% 12.76/8.35  # Starting new_bool_1 with 894s (3) cores
% 12.76/8.35  # Starting sh5l with 298s (1) cores
% 12.76/8.35  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 298s (1) cores
% 12.76/8.35  # new_bool_3 with pid 12709 completed with status 0
% 12.76/8.35  # Result found by new_bool_3
% 12.76/8.35  # Preprocessing class: FMLLMLLLSSSNFFN.
% 12.76/8.35  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 12.76/8.35  # Starting new_bool_3 with 894s (3) cores
% 12.76/8.35  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.76/8.35  # Search class: FGHSM-SMLM32-DFFFFFNN
% 12.76/8.35  # Scheduled 13 strats onto 3 cores with 894 seconds (894 total)
% 12.76/8.35  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 12.76/8.35  # Starting new_bool_3 with 90s (1) cores
% 12.76/8.35  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 12.76/8.35  # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 12718 completed with status 0
% 12.76/8.35  # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 12.76/8.35  # Preprocessing class: FMLLMLLLSSSNFFN.
% 12.76/8.35  # Scheduled 4 strats onto 8 cores with 298 seconds (2384 total)
% 12.76/8.35  # Starting new_bool_3 with 894s (3) cores
% 12.76/8.35  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 12.76/8.35  # Search class: FGHSM-SMLM32-DFFFFFNN
% 12.76/8.35  # Scheduled 13 strats onto 3 cores with 894 seconds (894 total)
% 12.76/8.35  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 68s (1) cores
% 12.76/8.35  # Starting new_bool_3 with 90s (1) cores
% 12.76/8.35  # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 68s (1) cores
% 12.76/8.35  # Preprocessing time       : 0.078 s
% 12.76/8.35  
% 12.76/8.35  # Proof found!
% 12.76/8.35  # SZS status Theorem
% 12.76/8.35  # SZS output start CNFRefutation
% See solution above
% 12.76/8.35  # Parsed axioms                        : 71100
% 12.76/8.35  # Removed by relevancy pruning/SinE    : 69921
% 12.76/8.35  # Initial clauses                      : 2715
% 12.76/8.35  # Removed in clause preprocessing      : 55
% 12.76/8.35  # Initial clauses in saturation        : 2660
% 12.76/8.35  # Processed clauses                    : 1223
% 12.76/8.35  # ...of these trivial                  : 33
% 12.76/8.35  # ...subsumed                          : 67
% 12.76/8.35  # ...remaining for further processing  : 1123
% 12.76/8.35  # Other redundant clauses eliminated   : 100
% 12.76/8.35  # Clauses deleted for lack of memory   : 0
% 12.76/8.35  # Backward-subsumed                    : 1
% 12.76/8.35  # Backward-rewritten                   : 10
% 12.76/8.35  # Generated clauses                    : 7067
% 12.76/8.35  # ...of the previous two non-redundant : 6418
% 12.76/8.35  # ...aggressively subsumed             : 0
% 12.76/8.35  # Contextual simplify-reflections      : 21
% 12.76/8.35  # Paramodulations                      : 6970
% 12.76/8.35  # Factorizations                       : 0
% 12.76/8.35  # NegExts                              : 0
% 12.76/8.35  # Equation resolutions                 : 107
% 12.76/8.35  # Disequality decompositions           : 0
% 12.76/8.35  # Total rewrite steps                  : 1096
% 12.76/8.35  # ...of those cached                   : 825
% 12.76/8.35  # Propositional unsat checks           : 0
% 12.76/8.35  #    Propositional check models        : 0
% 12.76/8.35  #    Propositional check unsatisfiable : 0
% 12.76/8.35  #    Propositional clauses             : 0
% 12.76/8.35  #    Propositional clauses after purity: 0
% 12.76/8.35  #    Propositional unsat core size     : 0
% 12.76/8.35  #    Propositional preprocessing time  : 0.000
% 12.76/8.35  #    Propositional encoding time       : 0.000
% 12.76/8.35  #    Propositional solver time         : 0.000
% 12.76/8.35  #    Success case prop preproc time    : 0.000
% 12.76/8.35  #    Success case prop encoding time   : 0.000
% 12.76/8.35  #    Success case prop solver time     : 0.000
% 12.76/8.35  # Current number of processed clauses  : 1050
% 12.76/8.35  #    Positive orientable unit clauses  : 291
% 12.76/8.35  #    Positive unorientable unit clauses: 3
% 12.76/8.35  #    Negative unit clauses             : 52
% 12.76/8.35  #    Non-unit-clauses                  : 704
% 12.76/8.35  # Current number of unprocessed clauses: 7845
% 12.76/8.35  # ...number of literals in the above   : 30484
% 12.76/8.35  # Current number of archived formulas  : 0
% 12.76/8.35  # Current number of archived clauses   : 11
% 12.76/8.35  # Clause-clause subsumption calls (NU) : 123938
% 12.76/8.35  # Rec. Clause-clause subsumption calls : 62768
% 12.76/8.35  # Non-unit clause-clause subsumptions  : 85
% 12.76/8.35  # Unit Clause-clause subsumption calls : 3464
% 12.76/8.35  # Rewrite failures with RHS unbound    : 0
% 12.76/8.35  # BW rewrite match attempts            : 170
% 12.76/8.35  # BW rewrite match successes           : 68
% 12.76/8.35  # Condensation attempts                : 0
% 12.76/8.35  # Condensation successes               : 0
% 12.76/8.35  # Termbank termtop insertions          : 2858724
% 12.76/8.35  # Search garbage collected termcells   : 811143
% 12.76/8.35  
% 12.76/8.35  # -------------------------------------------------
% 12.76/8.35  # User time                : 0.834 s
% 12.76/8.35  # System time              : 0.197 s
% 12.76/8.35  # Total time               : 1.031 s
% 12.76/8.35  # Maximum resident set size: 146828 pages
% 12.76/8.35  
% 12.76/8.35  # -------------------------------------------------
% 12.76/8.35  # User time                : 3.357 s
% 12.76/8.35  # System time              : 0.388 s
% 12.76/8.35  # Total time               : 3.746 s
% 12.76/8.35  # Maximum resident set size: 117832 pages
% 12.76/8.35  % E---3.1 exiting
%------------------------------------------------------------------------------