TSTP Solution File: SEU435+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 19:32:10 EDT 2023

% Result   : Theorem 0.16s 0.43s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   22 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   19 (   7   ~;   4   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-6 aty)
%            Number of variables   :   30 (   0 sgn;  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t36_relset_2,conjecture,
    ! [X1,X2,X3] :
      ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
     => ! [X4,X5,X6] :
          ( m1_subset_1(X6,k1_zfmisc_1(X4))
         => m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.hZLhPRBjAt/E---3.1_16428.p',t36_relset_2) ).

fof(s8_domain_1__e1_46__relset_2,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
        & m1_subset_1(X6,k1_zfmisc_1(X4)) )
     => m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ),
    file('/export/starexec/sandbox2/tmp/tmp.hZLhPRBjAt/E---3.1_16428.p',s8_domain_1__e1_46__relset_2) ).

fof(c_0_2,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X1,X2))))
       => ! [X4,X5,X6] :
            ( m1_subset_1(X6,k1_zfmisc_1(X4))
           => m1_subset_1(a_6_0_relset_2(X1,X2,X3,X4,X5,X6),k1_zfmisc_1(k1_zfmisc_1(X5))) ) ),
    inference(assume_negation,[status(cth)],[t36_relset_2]) ).

fof(c_0_3,negated_conjecture,
    ( m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0))))
    & m1_subset_1(esk6_0,k1_zfmisc_1(esk4_0))
    & ~ m1_subset_1(a_6_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])]) ).

fof(c_0_4,plain,
    ! [X47,X48,X49,X50,X51,X52] :
      ( ~ m1_subset_1(X49,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X47,X48))))
      | ~ m1_subset_1(X52,k1_zfmisc_1(X50))
      | m1_subset_1(a_6_0_relset_2(X47,X48,X49,X50,X51,X52),k1_zfmisc_1(k1_zfmisc_1(X51))) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[s8_domain_1__e1_46__relset_2])]) ).

cnf(c_0_5,negated_conjecture,
    ~ m1_subset_1(a_6_0_relset_2(esk1_0,esk2_0,esk3_0,esk4_0,esk5_0,esk6_0),k1_zfmisc_1(k1_zfmisc_1(esk5_0))),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_6,plain,
    ( m1_subset_1(a_6_0_relset_2(X2,X3,X1,X5,X6,X4),k1_zfmisc_1(k1_zfmisc_1(X6)))
    | ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(X2,X3))))
    | ~ m1_subset_1(X4,k1_zfmisc_1(X5)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    m1_subset_1(esk3_0,k1_zfmisc_1(k1_zfmisc_1(k2_zfmisc_1(esk1_0,esk2_0)))),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_8,negated_conjecture,
    m1_subset_1(esk6_0,k1_zfmisc_1(esk4_0)),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_9,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_7]),c_0_8])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SEU435+1 : TPTP v8.1.2. Released v3.4.0.
% 0.02/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n005.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 08:57:46 EDT 2023
% 0.10/0.31  % CPUTime    : 
% 0.16/0.42  Running first-order model finding
% 0.16/0.42  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.hZLhPRBjAt/E---3.1_16428.p
% 0.16/0.43  # Version: 3.1pre001
% 0.16/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43  # Starting sh5l with 300s (1) cores
% 0.16/0.43  # sh5l with pid 16508 completed with status 0
% 0.16/0.43  # Result found by sh5l
% 0.16/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43  # Starting sh5l with 300s (1) cores
% 0.16/0.43  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.43  # Search class: FGHSM-FFMM32-MFFFFFNN
% 0.16/0.43  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.16/0.43  # G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with pid 16516 completed with status 0
% 0.16/0.43  # Result found by G-E--_200_B02_F1_AE_CS_SP_PI_S0Y
% 0.16/0.43  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.16/0.43  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43  # Starting sh5l with 300s (1) cores
% 0.16/0.43  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.43  # Search class: FGHSM-FFMM32-MFFFFFNN
% 0.16/0.43  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43  # Starting G-E--_200_B02_F1_AE_CS_SP_PI_S0Y with 127s (1) cores
% 0.16/0.43  # Preprocessing time       : 0.001 s
% 0.16/0.43  
% 0.16/0.43  # Proof found!
% 0.16/0.43  # SZS status Theorem
% 0.16/0.43  # SZS output start CNFRefutation
% See solution above
% 0.16/0.43  # Parsed axioms                        : 51
% 0.16/0.43  # Removed by relevancy pruning/SinE    : 9
% 0.16/0.43  # Initial clauses                      : 62
% 0.16/0.43  # Removed in clause preprocessing      : 0
% 0.16/0.43  # Initial clauses in saturation        : 62
% 0.16/0.43  # Processed clauses                    : 56
% 0.16/0.43  # ...of these trivial                  : 2
% 0.16/0.43  # ...subsumed                          : 0
% 0.16/0.43  # ...remaining for further processing  : 54
% 0.16/0.43  # Other redundant clauses eliminated   : 0
% 0.16/0.43  # Clauses deleted for lack of memory   : 0
% 0.16/0.43  # Backward-subsumed                    : 0
% 0.16/0.43  # Backward-rewritten                   : 0
% 0.16/0.43  # Generated clauses                    : 44
% 0.16/0.43  # ...of the previous two non-redundant : 39
% 0.16/0.43  # ...aggressively subsumed             : 0
% 0.16/0.43  # Contextual simplify-reflections      : 0
% 0.16/0.43  # Paramodulations                      : 44
% 0.16/0.43  # Factorizations                       : 0
% 0.16/0.43  # NegExts                              : 0
% 0.16/0.43  # Equation resolutions                 : 0
% 0.16/0.43  # Total rewrite steps                  : 4
% 0.16/0.43  # Propositional unsat checks           : 0
% 0.16/0.43  #    Propositional check models        : 0
% 0.16/0.43  #    Propositional check unsatisfiable : 0
% 0.16/0.43  #    Propositional clauses             : 0
% 0.16/0.43  #    Propositional clauses after purity: 0
% 0.16/0.43  #    Propositional unsat core size     : 0
% 0.16/0.43  #    Propositional preprocessing time  : 0.000
% 0.16/0.43  #    Propositional encoding time       : 0.000
% 0.16/0.43  #    Propositional solver time         : 0.000
% 0.16/0.43  #    Success case prop preproc time    : 0.000
% 0.16/0.43  #    Success case prop encoding time   : 0.000
% 0.16/0.43  #    Success case prop solver time     : 0.000
% 0.16/0.43  # Current number of processed clauses  : 54
% 0.16/0.43  #    Positive orientable unit clauses  : 21
% 0.16/0.43  #    Positive unorientable unit clauses: 0
% 0.16/0.43  #    Negative unit clauses             : 3
% 0.16/0.43  #    Non-unit-clauses                  : 30
% 0.16/0.43  # Current number of unprocessed clauses: 43
% 0.16/0.43  # ...number of literals in the above   : 102
% 0.16/0.43  # Current number of archived formulas  : 0
% 0.16/0.43  # Current number of archived clauses   : 0
% 0.16/0.43  # Clause-clause subsumption calls (NU) : 111
% 0.16/0.43  # Rec. Clause-clause subsumption calls : 108
% 0.16/0.43  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.43  # Unit Clause-clause subsumption calls : 19
% 0.16/0.43  # Rewrite failures with RHS unbound    : 0
% 0.16/0.43  # BW rewrite match attempts            : 0
% 0.16/0.43  # BW rewrite match successes           : 0
% 0.16/0.43  # Condensation attempts                : 0
% 0.16/0.43  # Condensation successes               : 0
% 0.16/0.43  # Termbank termtop insertions          : 3782
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.005 s
% 0.16/0.43  # System time              : 0.003 s
% 0.16/0.43  # Total time               : 0.008 s
% 0.16/0.43  # Maximum resident set size: 2004 pages
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.006 s
% 0.16/0.43  # System time              : 0.005 s
% 0.16/0.43  # Total time               : 0.011 s
% 0.16/0.43  # Maximum resident set size: 1740 pages
% 0.16/0.43  % E---3.1 exiting
%------------------------------------------------------------------------------