TSTP Solution File: SEU294+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SEU294+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 19:31:20 EDT 2023

% Result   : Theorem 0.20s 0.51s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   5 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   27 (  10   ~;   7   |;   5   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   16 (   0 sgn;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t13_finset_1,conjecture,
    ! [X1,X2] :
      ( ( subset(X1,X2)
        & finite(X2) )
     => finite(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sMlMjZelE6/E---3.1_2228.p',t13_finset_1) ).

fof(t3_subset,axiom,
    ! [X1,X2] :
      ( element(X1,powerset(X2))
    <=> subset(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sMlMjZelE6/E---3.1_2228.p',t3_subset) ).

fof(cc2_finset_1,axiom,
    ! [X1] :
      ( finite(X1)
     => ! [X2] :
          ( element(X2,powerset(X1))
         => finite(X2) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.sMlMjZelE6/E---3.1_2228.p',cc2_finset_1) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( subset(X1,X2)
          & finite(X2) )
       => finite(X1) ),
    inference(assume_negation,[status(cth)],[t13_finset_1]) ).

fof(c_0_4,plain,
    ! [X15,X16] :
      ( ( ~ element(X15,powerset(X16))
        | subset(X15,X16) )
      & ( ~ subset(X15,X16)
        | element(X15,powerset(X16)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t3_subset])]) ).

fof(c_0_5,negated_conjecture,
    ( subset(esk1_0,esk2_0)
    & finite(esk2_0)
    & ~ finite(esk1_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

fof(c_0_6,plain,
    ! [X7,X8] :
      ( ~ finite(X7)
      | ~ element(X8,powerset(X7))
      | finite(X8) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[cc2_finset_1])])]) ).

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

cnf(c_0_8,negated_conjecture,
    subset(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( finite(X2)
    | ~ finite(X1)
    | ~ element(X2,powerset(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    element(esk1_0,powerset(esk2_0)),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,negated_conjecture,
    finite(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    ~ finite(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEU294+3 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n004.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 09:17:45 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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.sMlMjZelE6/E---3.1_2228.p
% 0.20/0.51  # Version: 3.1pre001
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.51  # Starting sh5l with 300s (1) cores
% 0.20/0.51  # new_bool_3 with pid 2306 completed with status 0
% 0.20/0.51  # Result found by new_bool_3
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGHSM-FFMM11-SFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.51  # SAT001_MinMin_p005000_rr_RG with pid 2313 completed with status 0
% 0.20/0.51  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.51  # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.20/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.51  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.20/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.51  # Search class: FGHSM-FFMM11-SFFFFFNN
% 0.20/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.51  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.51  # Preprocessing time       : 0.003 s
% 0.20/0.51  # Presaturation interreduction done
% 0.20/0.51  
% 0.20/0.51  # Proof found!
% 0.20/0.51  # SZS status Theorem
% 0.20/0.51  # SZS output start CNFRefutation
% See solution above
% 0.20/0.51  # Parsed axioms                        : 54
% 0.20/0.51  # Removed by relevancy pruning/SinE    : 5
% 0.20/0.51  # Initial clauses                      : 123
% 0.20/0.51  # Removed in clause preprocessing      : 4
% 0.20/0.51  # Initial clauses in saturation        : 119
% 0.20/0.51  # Processed clauses                    : 233
% 0.20/0.51  # ...of these trivial                  : 10
% 0.20/0.51  # ...subsumed                          : 5
% 0.20/0.51  # ...remaining for further processing  : 218
% 0.20/0.51  # Other redundant clauses eliminated   : 0
% 0.20/0.51  # Clauses deleted for lack of memory   : 0
% 0.20/0.51  # Backward-subsumed                    : 0
% 0.20/0.51  # Backward-rewritten                   : 24
% 0.20/0.51  # Generated clauses                    : 32
% 0.20/0.51  # ...of the previous two non-redundant : 18
% 0.20/0.51  # ...aggressively subsumed             : 0
% 0.20/0.51  # Contextual simplify-reflections      : 3
% 0.20/0.51  # Paramodulations                      : 32
% 0.20/0.51  # Factorizations                       : 0
% 0.20/0.51  # NegExts                              : 0
% 0.20/0.51  # Equation resolutions                 : 0
% 0.20/0.51  # Total rewrite steps                  : 82
% 0.20/0.51  # Propositional unsat checks           : 0
% 0.20/0.51  #    Propositional check models        : 0
% 0.20/0.51  #    Propositional check unsatisfiable : 0
% 0.20/0.51  #    Propositional clauses             : 0
% 0.20/0.51  #    Propositional clauses after purity: 0
% 0.20/0.51  #    Propositional unsat core size     : 0
% 0.20/0.51  #    Propositional preprocessing time  : 0.000
% 0.20/0.51  #    Propositional encoding time       : 0.000
% 0.20/0.51  #    Propositional solver time         : 0.000
% 0.20/0.51  #    Success case prop preproc time    : 0.000
% 0.20/0.51  #    Success case prop encoding time   : 0.000
% 0.20/0.51  #    Success case prop solver time     : 0.000
% 0.20/0.51  # Current number of processed clauses  : 85
% 0.20/0.51  #    Positive orientable unit clauses  : 50
% 0.20/0.51  #    Positive unorientable unit clauses: 0
% 0.20/0.51  #    Negative unit clauses             : 10
% 0.20/0.51  #    Non-unit-clauses                  : 25
% 0.20/0.51  # Current number of unprocessed clauses: 11
% 0.20/0.51  # ...number of literals in the above   : 25
% 0.20/0.51  # Current number of archived formulas  : 0
% 0.20/0.51  # Current number of archived clauses   : 133
% 0.20/0.51  # Clause-clause subsumption calls (NU) : 117
% 0.20/0.51  # Rec. Clause-clause subsumption calls : 111
% 0.20/0.51  # Non-unit clause-clause subsumptions  : 8
% 0.20/0.51  # Unit Clause-clause subsumption calls : 68
% 0.20/0.51  # Rewrite failures with RHS unbound    : 0
% 0.20/0.51  # BW rewrite match attempts            : 9
% 0.20/0.51  # BW rewrite match successes           : 7
% 0.20/0.51  # Condensation attempts                : 0
% 0.20/0.51  # Condensation successes               : 0
% 0.20/0.51  # Termbank termtop insertions          : 4141
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.012 s
% 0.20/0.51  # System time              : 0.003 s
% 0.20/0.51  # Total time               : 0.015 s
% 0.20/0.51  # Maximum resident set size: 1904 pages
% 0.20/0.51  
% 0.20/0.51  # -------------------------------------------------
% 0.20/0.51  # User time                : 0.016 s
% 0.20/0.51  # System time              : 0.003 s
% 0.20/0.51  # Total time               : 0.019 s
% 0.20/0.51  # Maximum resident set size: 1732 pages
% 0.20/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------