TSTP Solution File: SEU167+3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SEU167+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 19:30:42 EDT 2023

% Result   : Timeout 0.29s 300.13s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   16 (   4 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   38 (  15   ~;  12   |;   7   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   37 (   0 sgn;  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t1_xboole_1,axiom,
    ! [X1,X2,X3] :
      ( ( subset(X1,X2)
        & subset(X2,X3) )
     => subset(X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.a8veDVPAyc/E---3.1_2285.p',t1_xboole_1) ).

fof(t118_zfmisc_1,axiom,
    ! [X1,X2,X3] :
      ( subset(X1,X2)
     => ( subset(cartesian_product2(X1,X3),cartesian_product2(X2,X3))
        & subset(cartesian_product2(X3,X1),cartesian_product2(X3,X2)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.a8veDVPAyc/E---3.1_2285.p',t118_zfmisc_1) ).

fof(t119_zfmisc_1,conjecture,
    ! [X1,X2,X3,X4] :
      ( ( subset(X1,X2)
        & subset(X3,X4) )
     => subset(cartesian_product2(X1,X3),cartesian_product2(X2,X4)) ),
    file('/export/starexec/sandbox/tmp/tmp.a8veDVPAyc/E---3.1_2285.p',t119_zfmisc_1) ).

fof(c_0_3,plain,
    ! [X10,X11,X12] :
      ( ~ subset(X10,X11)
      | ~ subset(X11,X12)
      | subset(X10,X12) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_xboole_1])]) ).

fof(c_0_4,plain,
    ! [X13,X14,X15] :
      ( ( subset(cartesian_product2(X13,X15),cartesian_product2(X14,X15))
        | ~ subset(X13,X14) )
      & ( subset(cartesian_product2(X15,X13),cartesian_product2(X15,X14))
        | ~ subset(X13,X14) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t118_zfmisc_1])])]) ).

fof(c_0_5,negated_conjecture,
    ~ ! [X1,X2,X3,X4] :
        ( ( subset(X1,X2)
          & subset(X3,X4) )
       => subset(cartesian_product2(X1,X3),cartesian_product2(X2,X4)) ),
    inference(assume_negation,[status(cth)],[t119_zfmisc_1]) ).

cnf(c_0_6,plain,
    ( subset(X1,X3)
    | ~ subset(X1,X2)
    | ~ subset(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

cnf(c_0_7,plain,
    ( subset(cartesian_product2(X1,X2),cartesian_product2(X3,X2))
    | ~ subset(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_8,negated_conjecture,
    ( subset(esk1_0,esk2_0)
    & subset(esk3_0,esk4_0)
    & ~ subset(cartesian_product2(esk1_0,esk3_0),cartesian_product2(esk2_0,esk4_0)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

cnf(c_0_9,plain,
    ( subset(X1,cartesian_product2(X2,X3))
    | ~ subset(X1,cartesian_product2(X4,X3))
    | ~ subset(X4,X2) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    ( subset(cartesian_product2(X1,X2),cartesian_product2(X1,X3))
    | ~ subset(X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,negated_conjecture,
    ~ subset(cartesian_product2(esk1_0,esk3_0),cartesian_product2(esk2_0,esk4_0)),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    ( subset(cartesian_product2(X1,X2),cartesian_product2(X3,X4))
    | ~ subset(X1,X3)
    | ~ subset(X2,X4) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,negated_conjecture,
    subset(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    subset(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    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])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SEU167+3 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.11  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 08:28:31 EDT 2023
% 0.11/0.32  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  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.a8veDVPAyc/E---3.1_2285.p
% 0.29/300.13  # Version: 3.1pre001
% 0.29/300.13  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.29/300.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/300.13  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.29/300.13  # Starting new_bool_3 with 300s (1) cores
% 0.29/300.13  # Starting new_bool_1 with 300s (1) cores
% 0.29/300.13  # Starting sh5l with 300s (1) cores
% 0.29/300.13  # new_bool_3 with pid 2363 completed with status 0
% 0.29/300.13  # Result found by new_bool_3
% 0.29/300.13  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.29/300.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/300.13  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.29/300.13  # Starting new_bool_3 with 300s (1) cores
% 0.29/300.13  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.29/300.13  # Search class: FHUNF-FFSF22-SFFFFFNN
% 0.29/300.13  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.29/300.13  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.29/300.13  # SAT001_MinMin_p005000_rr_RG with pid 2366 completed with status 0
% 0.29/300.13  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.29/300.13  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.29/300.13  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/300.13  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.29/300.13  # Starting new_bool_3 with 300s (1) cores
% 0.29/300.13  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.29/300.13  # Search class: FHUNF-FFSF22-SFFFFFNN
% 0.29/300.13  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.29/300.13  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.29/300.13  # Preprocessing time       : 0.001 s
% 0.29/300.13  # Presaturation interreduction done
% 0.29/300.13  
% 0.29/300.13  # Proof found!
% 0.29/300.13  # SZS status Theorem
% 0.29/300.13  # SZS output start CNFRefutation
% See solution above
% 0.29/300.13  # Parsed axioms                        : 6
% 0.29/300.13  # Removed by relevancy pruning/SinE    : 2
% 0.29/300.13  # Initial clauses                      : 7
% 0.29/300.13  # Removed in clause preprocessing      : 0
% 0.29/300.13  # Initial clauses in saturation        : 7
% 0.29/300.13  # Processed clauses                    : 28
% 0.29/300.13  # ...of these trivial                  : 0
% 0.29/300.13  # ...subsumed                          : 3
% 0.29/300.13  # ...remaining for further processing  : 25
% 0.29/300.13  # Other redundant clauses eliminated   : 0
% 0.29/300.13  # Clauses deleted for lack of memory   : 0
% 0.29/300.13  # Backward-subsumed                    : 0
% 0.29/300.13  # Backward-rewritten                   : 0
% 0.29/300.13  # Generated clauses                    : 36
% 0.29/300.13  # ...of the previous two non-redundant : 34
% 0.29/300.13  # ...aggressively subsumed             : 0
% 0.29/300.13  # Contextual simplify-reflections      : 0
% 0.29/300.13  # Paramodulations                      : 36
% 0.29/300.13  # Factorizations                       : 0
% 0.29/300.13  # NegExts                              : 0
% 0.29/300.13  # Equation resolutions                 : 0
% 0.29/300.13  # Total rewrite steps                  : 2
% 0.29/300.13  # Propositional unsat checks           : 0
% 0.29/300.13  #    Propositional check models        : 0
% 0.29/300.13  #    Propositional check unsatisfiable : 0
% 0.29/300.13  #    Propositional clauses             : 0
% 0.29/300.13  #    Propositional clauses after purity: 0
% 0.29/300.13  #    Propositional unsat core size     : 0
% 0.29/300.13  #    Propositional preprocessing time  : 0.000
% 0.29/300.13  #    Propositional encoding time       : 0.000
% 0.29/300.13  #    Propositional solver time         : 0.000
% 0.29/300.13  #    Success case prop preproc time    : 0.000
% 0.29/300.13  #    Success case prop encoding time   : 0.000
% 0.29/300.13  #    Success case prop solver time     : 0.000
% 0.29/300.13  # Current number of processed clauses  : 18
% 0.29/300.13  #    Positive orientable unit clauses  : 3
% 0.29/300.13  #    Positive unorientable unit clauses: 0
% 0.29/300.13  #    Negative unit clauses             : 1
% 0.29/300.13  #    Non-unit-clauses                  : 14
% 0.29/300.13  # Current number of unprocessed clauses: 16
% 0.29/300.13  # ...number of literals in the above   : 45
% 0.29/300.13  # Current number of archived formulas  : 0
% 0.29/300.13  # Current number of archived clauses   : 7
% 0.29/300.13  # Clause-clause subsumption calls (NU) : 58
% 0.29/300.13  # Rec. Clause-clause subsumption calls : 58
% 0.29/300.13  # Non-unit clause-clause subsumptions  : 3
% 0.29/300.13  # Unit Clause-clause subsumption calls : 0
% 0.29/300.13  # Rewrite failures with RHS unbound    : 0
% 0.29/300.13  # BW rewrite match attempts            : 3
% 0.29/300.13  # BW rewrite match successes           : 0
% 0.29/300.13  # Condensation attempts                : 0
% 0.29/300.13  # Condensation successes               : 0
% 0.29/300.13  # Termbank termtop insertions          : 848
% 0.29/300.13  
% 0.29/300.13  # -------------------------------------------------
% 0.29/300.13  # User time                : 0.003 s
% 0.29/300.13  # System time              : 0.002 s
% 0.29/300.13  # Total time               : 0.004 s
% 0.29/300.13  # Maximum resident set size: 1772 pages
% 0.29/300.13  
% 0.29/300.13  # -------------------------------------------------
% 0.29/300.13  # User time                : 0.004 s
% 0.29/300.13  # System time              : 0.003 s
% 0.29/300.13  # Total time               : 0.007 s
% 0.29/300.13  # Maximum resident set size: 1672 pages
% 0.29/300.13  % E---3.1 exiting
%------------------------------------------------------------------------------