TSTP Solution File: CSR101+6 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CSR101+6 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 07:36:16 EDT 2024

% Result   : Theorem 31.21s 29.91s
% Output   : CNFRefutation 31.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   7 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   47 (  20   ~;  17   |;   5   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   25 (   2 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_26636,axiom,
    ! [X1,X15,X13] :
      ( ( s__instance(X15,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
     => ( ( s__subclass(X1,X15)
          & s__instance(X13,X1) )
       => s__instance(X13,X15) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DULiT6oG3U/E---3.1_17580.p',kb_SUMO_26636) ).

fof(kb_SUMO_26635,axiom,
    ! [X1,X15] :
      ( s__subclass(X1,X15)
     => ( s__instance(X1,s__SetOrClass)
        & s__instance(X15,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/tmp/tmp.DULiT6oG3U/E---3.1_17580.p',kb_SUMO_26635) ).

fof(local_9,axiom,
    s__subclass(s__Class32_3,s__Class32_1),
    file('/export/starexec/sandbox/tmp/tmp.DULiT6oG3U/E---3.1_17580.p',local_9) ).

fof(local_8,axiom,
    s__subclass(s__Class32_2,s__Class32_3),
    file('/export/starexec/sandbox/tmp/tmp.DULiT6oG3U/E---3.1_17580.p',local_8) ).

fof(prove_from_ALL,conjecture,
    ! [X2341] :
      ( s__instance(X2341,s__Class32_2)
     => s__instance(X2341,s__Class32_1) ),
    file('/export/starexec/sandbox/tmp/tmp.DULiT6oG3U/E---3.1_17580.p',prove_from_ALL) ).

fof(c_0_5,plain,
    ! [X2345,X2346,X2347] :
      ( ~ s__instance(X2346,s__SetOrClass)
      | ~ s__instance(X2345,s__SetOrClass)
      | ~ s__subclass(X2345,X2346)
      | ~ s__instance(X2347,X2345)
      | s__instance(X2347,X2346) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26636])])]) ).

fof(c_0_6,plain,
    ! [X2343,X2344] :
      ( ( s__instance(X2343,s__SetOrClass)
        | ~ s__subclass(X2343,X2344) )
      & ( s__instance(X2344,s__SetOrClass)
        | ~ s__subclass(X2343,X2344) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26635])])])]) ).

cnf(c_0_7,plain,
    ( s__instance(X3,X1)
    | ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X2,s__SetOrClass)
    | ~ s__subclass(X2,X1)
    | ~ s__instance(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( s__instance(X1,X2)
    | ~ s__instance(X1,X3)
    | ~ s__subclass(X3,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

cnf(c_0_11,plain,
    s__subclass(s__Class32_3,s__Class32_1),
    inference(split_conjunct,[status(thm)],[local_9]) ).

cnf(c_0_12,plain,
    s__subclass(s__Class32_2,s__Class32_3),
    inference(split_conjunct,[status(thm)],[local_8]) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X2341] :
        ( s__instance(X2341,s__Class32_2)
       => s__instance(X2341,s__Class32_1) ),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

cnf(c_0_14,plain,
    ( s__instance(X1,s__Class32_1)
    | ~ s__instance(X1,s__Class32_3) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,plain,
    ( s__instance(X1,s__Class32_3)
    | ~ s__instance(X1,s__Class32_2) ),
    inference(spm,[status(thm)],[c_0_10,c_0_12]) ).

fof(c_0_16,negated_conjecture,
    ( s__instance(esk1_0,s__Class32_2)
    & ~ s__instance(esk1_0,s__Class32_1) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).

cnf(c_0_17,plain,
    ( s__instance(X1,s__Class32_1)
    | ~ s__instance(X1,s__Class32_2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,negated_conjecture,
    s__instance(esk1_0,s__Class32_2),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ~ s__instance(esk1_0,s__Class32_1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : CSR101+6 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 14:21:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 28.22/28.40  Running first-order model finding
% 28.22/28.40  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.DULiT6oG3U/E---3.1_17580.p
% 31.21/29.91  # Version: 3.1.0
% 31.21/29.91  # Preprocessing class: FMLLSMSLSSSNFFN.
% 31.21/29.91  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 31.21/29.91  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 31.21/29.91  # Starting new_bool_3 with 299s (1) cores
% 31.21/29.91  # Starting new_bool_1 with 299s (1) cores
% 31.21/29.91  # Starting sh5l with 299s (1) cores
% 31.21/29.91  # new_bool_3 with pid 18557 completed with status 0
% 31.21/29.91  # Result found by new_bool_3
% 31.21/29.91  # Preprocessing class: FMLLSMSLSSSNFFN.
% 31.21/29.91  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 31.21/29.91  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 31.21/29.91  # Starting new_bool_3 with 299s (1) cores
% 31.21/29.91  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 31.21/29.91  # Search class: FHUSF-FFSM00-SFFFFFNN
% 31.21/29.91  # partial match(1): FHUNF-FFSM00-SFFFFFNN
% 31.21/29.91  # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 31.21/29.91  # Starting SAT001_MinMin_p005000_rr_RG with 180s (1) cores
% 31.21/29.91  # SAT001_MinMin_p005000_rr_RG with pid 18560 completed with status 0
% 31.21/29.91  # Result found by SAT001_MinMin_p005000_rr_RG
% 31.21/29.91  # Preprocessing class: FMLLSMSLSSSNFFN.
% 31.21/29.91  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 31.21/29.91  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 31.21/29.91  # Starting new_bool_3 with 299s (1) cores
% 31.21/29.91  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 31.21/29.91  # Search class: FHUSF-FFSM00-SFFFFFNN
% 31.21/29.91  # partial match(1): FHUNF-FFSM00-SFFFFFNN
% 31.21/29.91  # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 31.21/29.91  # Starting SAT001_MinMin_p005000_rr_RG with 180s (1) cores
% 31.21/29.91  # Preprocessing time       : 0.077 s
% 31.21/29.91  # Presaturation interreduction done
% 31.21/29.91  
% 31.21/29.91  # Proof found!
% 31.21/29.91  # SZS status Theorem
% 31.21/29.91  # SZS output start CNFRefutation
% See solution above
% 31.21/29.91  # Parsed axioms                        : 55596
% 31.21/29.91  # Removed by relevancy pruning/SinE    : 55576
% 31.21/29.91  # Initial clauses                      : 24
% 31.21/29.91  # Removed in clause preprocessing      : 4
% 31.21/29.91  # Initial clauses in saturation        : 20
% 31.21/29.91  # Processed clauses                    : 71
% 31.21/29.91  # ...of these trivial                  : 5
% 31.21/29.91  # ...subsumed                          : 0
% 31.21/29.91  # ...remaining for further processing  : 66
% 31.21/29.91  # Other redundant clauses eliminated   : 0
% 31.21/29.91  # Clauses deleted for lack of memory   : 0
% 31.21/29.91  # Backward-subsumed                    : 0
% 31.21/29.91  # Backward-rewritten                   : 0
% 31.21/29.91  # Generated clauses                    : 65
% 31.21/29.91  # ...of the previous two non-redundant : 40
% 31.21/29.91  # ...aggressively subsumed             : 0
% 31.21/29.91  # Contextual simplify-reflections      : 7
% 31.21/29.91  # Paramodulations                      : 65
% 31.21/29.91  # Factorizations                       : 0
% 31.21/29.91  # NegExts                              : 0
% 31.21/29.91  # Equation resolutions                 : 0
% 31.21/29.91  # Disequality decompositions           : 0
% 31.21/29.91  # Total rewrite steps                  : 22
% 31.21/29.91  # ...of those cached                   : 15
% 31.21/29.91  # Propositional unsat checks           : 0
% 31.21/29.91  #    Propositional check models        : 0
% 31.21/29.91  #    Propositional check unsatisfiable : 0
% 31.21/29.91  #    Propositional clauses             : 0
% 31.21/29.91  #    Propositional clauses after purity: 0
% 31.21/29.91  #    Propositional unsat core size     : 0
% 31.21/29.91  #    Propositional preprocessing time  : 0.000
% 31.21/29.91  #    Propositional encoding time       : 0.000
% 31.21/29.91  #    Propositional solver time         : 0.000
% 31.21/29.91  #    Success case prop preproc time    : 0.000
% 31.21/29.91  #    Success case prop encoding time   : 0.000
% 31.21/29.91  #    Success case prop solver time     : 0.000
% 31.21/29.91  # Current number of processed clauses  : 46
% 31.21/29.91  #    Positive orientable unit clauses  : 27
% 31.21/29.91  #    Positive unorientable unit clauses: 0
% 31.21/29.91  #    Negative unit clauses             : 1
% 31.21/29.91  #    Non-unit-clauses                  : 18
% 31.21/29.91  # Current number of unprocessed clauses: 9
% 31.21/29.91  # ...number of literals in the above   : 17
% 31.21/29.91  # Current number of archived formulas  : 0
% 31.21/29.91  # Current number of archived clauses   : 20
% 31.21/29.91  # Clause-clause subsumption calls (NU) : 30
% 31.21/29.91  # Rec. Clause-clause subsumption calls : 19
% 31.21/29.91  # Non-unit clause-clause subsumptions  : 7
% 31.21/29.91  # Unit Clause-clause subsumption calls : 0
% 31.21/29.91  # Rewrite failures with RHS unbound    : 0
% 31.21/29.91  # BW rewrite match attempts            : 0
% 31.21/29.91  # BW rewrite match successes           : 0
% 31.21/29.91  # Condensation attempts                : 0
% 31.21/29.91  # Condensation successes               : 0
% 31.21/29.91  # Termbank termtop insertions          : 649724
% 31.21/29.91  # Search garbage collected termcells   : 291036
% 31.21/29.91  
% 31.21/29.91  # -------------------------------------------------
% 31.21/29.91  # User time                : 0.229 s
% 31.21/29.91  # System time              : 0.152 s
% 31.21/29.91  # Total time               : 0.381 s
% 31.21/29.91  # Maximum resident set size: 132580 pages
% 31.21/29.91  
% 31.21/29.91  # -------------------------------------------------
% 31.21/29.91  # User time                : 1.237 s
% 31.21/29.91  # System time              : 0.222 s
% 31.21/29.91  # Total time               : 1.459 s
% 31.21/29.91  # Maximum resident set size: 58284 pages
% 31.21/29.91  % E---3.1 exiting
%------------------------------------------------------------------------------