TSTP Solution File: CSR086+5 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CSR086+5 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 07:36:02 EDT 2024

% Result   : Theorem 3.57s 3.89s
% Output   : CNFRefutation 3.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   63 (  27   ~;  24   |;   7   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   30 (   2 sgn  14   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_27,axiom,
    ! [X6,X7,X8] :
      ( ( s__instance(X7,s__SetOrClass)
        & s__instance(X6,s__SetOrClass) )
     => ( ( s__subclass(X6,X7)
          & s__instance(X8,X6) )
       => s__instance(X8,X7) ) ),
    file('/export/starexec/sandbox/tmp/tmp.chZHPGxliX/E---3.1_5113.p',kb_SUMO_27) ).

fof(kb_SUMO_26,axiom,
    ! [X6,X7] :
      ( s__subclass(X6,X7)
     => ( s__instance(X6,s__SetOrClass)
        & s__instance(X7,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/tmp/tmp.chZHPGxliX/E---3.1_5113.p',kb_SUMO_26) ).

fof(kb_SUMO_4786,axiom,
    s__subclass(s__GraphLoop,s__GraphArc),
    file('/export/starexec/sandbox/tmp/tmp.chZHPGxliX/E---3.1_5113.p',kb_SUMO_4786) ).

fof(prove_from_SUMO_MILO,conjecture,
    ? [X1223] : s__links(X1223,X1223,s__Arc13_1),
    file('/export/starexec/sandbox/tmp/tmp.chZHPGxliX/E---3.1_5113.p',prove_from_SUMO_MILO) ).

fof(kb_SUMO_4789,axiom,
    ! [X185] :
      ( s__instance(X185,s__GraphArc)
     => ( s__instance(X185,s__GraphLoop)
      <=> ? [X186] :
            ( s__instance(X186,s__GraphNode)
            & s__links(X186,X186,X185) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.chZHPGxliX/E---3.1_5113.p',kb_SUMO_4789) ).

fof(local_1,axiom,
    s__instance(s__Arc13_1,s__GraphLoop),
    file('/export/starexec/sandbox/tmp/tmp.chZHPGxliX/E---3.1_5113.p',local_1) ).

fof(c_0_6,plain,
    ! [X1315,X1316,X1317] :
      ( ~ s__instance(X1316,s__SetOrClass)
      | ~ s__instance(X1315,s__SetOrClass)
      | ~ s__subclass(X1315,X1316)
      | ~ s__instance(X1317,X1315)
      | s__instance(X1317,X1316) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_27])])]) ).

fof(c_0_7,plain,
    ! [X1313,X1314] :
      ( ( s__instance(X1313,s__SetOrClass)
        | ~ s__subclass(X1313,X1314) )
      & ( s__instance(X1314,s__SetOrClass)
        | ~ s__subclass(X1313,X1314) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26])])])]) ).

cnf(c_0_8,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_6]) ).

cnf(c_0_9,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( s__instance(X1,X2)
    | ~ s__subclass(X3,X2)
    | ~ s__instance(X1,X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).

cnf(c_0_12,plain,
    s__subclass(s__GraphLoop,s__GraphArc),
    inference(split_conjunct,[status(thm)],[kb_SUMO_4786]) ).

fof(c_0_13,negated_conjecture,
    ~ ? [X1223] : s__links(X1223,X1223,s__Arc13_1),
    inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).

fof(c_0_14,plain,
    ! [X1307,X1309] :
      ( ( s__instance(esk11_1(X1307),s__GraphNode)
        | ~ s__instance(X1307,s__GraphLoop)
        | ~ s__instance(X1307,s__GraphArc) )
      & ( s__links(esk11_1(X1307),esk11_1(X1307),X1307)
        | ~ s__instance(X1307,s__GraphLoop)
        | ~ s__instance(X1307,s__GraphArc) )
      & ( ~ s__instance(X1309,s__GraphNode)
        | ~ s__links(X1309,X1309,X1307)
        | s__instance(X1307,s__GraphLoop)
        | ~ s__instance(X1307,s__GraphArc) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_4789])])])])])]) ).

cnf(c_0_15,plain,
    ( s__instance(X1,s__GraphArc)
    | ~ s__instance(X1,s__GraphLoop) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    s__instance(s__Arc13_1,s__GraphLoop),
    inference(split_conjunct,[status(thm)],[local_1]) ).

fof(c_0_17,negated_conjecture,
    ! [X1224] : ~ s__links(X1224,X1224,s__Arc13_1),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

cnf(c_0_18,plain,
    ( s__links(esk11_1(X1),esk11_1(X1),X1)
    | ~ s__instance(X1,s__GraphLoop)
    | ~ s__instance(X1,s__GraphArc) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    s__instance(s__Arc13_1,s__GraphArc),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ~ s__links(X1,X1,s__Arc13_1),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_21,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16])]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : CSR086+5 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 14:43:38 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 3.21/3.44  Running first-order model finding
% 3.21/3.44  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.chZHPGxliX/E---3.1_5113.p
% 3.57/3.89  # Version: 3.1.0
% 3.57/3.89  # Preprocessing class: FMLLSMSLSSSNFFN.
% 3.57/3.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.57/3.89  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 3.57/3.89  # Starting new_bool_3 with 300s (1) cores
% 3.57/3.89  # Starting new_bool_1 with 300s (1) cores
% 3.57/3.89  # Starting sh5l with 300s (1) cores
% 3.57/3.89  # new_bool_3 with pid 5543 completed with status 0
% 3.57/3.89  # Result found by new_bool_3
% 3.57/3.89  # Preprocessing class: FMLLSMSLSSSNFFN.
% 3.57/3.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.57/3.89  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 3.57/3.89  # Starting new_bool_3 with 300s (1) cores
% 3.57/3.89  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.57/3.89  # Search class: FHHSS-FFMM31-MFFFFFNN
% 3.57/3.89  # partial match(2): FGHSM-FFMM31-MFFFFFNN
% 3.57/3.89  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.57/3.89  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 3.57/3.89  # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 5546 completed with status 0
% 3.57/3.89  # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 3.57/3.89  # Preprocessing class: FMLLSMSLSSSNFFN.
% 3.57/3.89  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.57/3.89  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 3.57/3.89  # Starting new_bool_3 with 300s (1) cores
% 3.57/3.89  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.57/3.89  # Search class: FHHSS-FFMM31-MFFFFFNN
% 3.57/3.89  # partial match(2): FGHSM-FFMM31-MFFFFFNN
% 3.57/3.89  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 3.57/3.89  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 3.57/3.89  # Preprocessing time       : 0.012 s
% 3.57/3.89  # Presaturation interreduction done
% 3.57/3.89  
% 3.57/3.89  # Proof found!
% 3.57/3.89  # SZS status Theorem
% 3.57/3.89  # SZS output start CNFRefutation
% See solution above
% 3.57/3.89  # Parsed axioms                        : 16750
% 3.57/3.89  # Removed by relevancy pruning/SinE    : 16696
% 3.57/3.89  # Initial clauses                      : 79
% 3.57/3.89  # Removed in clause preprocessing      : 8
% 3.57/3.89  # Initial clauses in saturation        : 71
% 3.57/3.89  # Processed clauses                    : 157
% 3.57/3.89  # ...of these trivial                  : 2
% 3.57/3.89  # ...subsumed                          : 0
% 3.57/3.89  # ...remaining for further processing  : 155
% 3.57/3.89  # Other redundant clauses eliminated   : 1
% 3.57/3.89  # Clauses deleted for lack of memory   : 0
% 3.57/3.89  # Backward-subsumed                    : 0
% 3.57/3.89  # Backward-rewritten                   : 0
% 3.57/3.89  # Generated clauses                    : 93
% 3.57/3.89  # ...of the previous two non-redundant : 75
% 3.57/3.89  # ...aggressively subsumed             : 0
% 3.57/3.89  # Contextual simplify-reflections      : 19
% 3.57/3.89  # Paramodulations                      : 91
% 3.57/3.89  # Factorizations                       : 0
% 3.57/3.89  # NegExts                              : 0
% 3.57/3.89  # Equation resolutions                 : 2
% 3.57/3.89  # Disequality decompositions           : 0
% 3.57/3.89  # Total rewrite steps                  : 14
% 3.57/3.89  # ...of those cached                   : 6
% 3.57/3.89  # Propositional unsat checks           : 0
% 3.57/3.89  #    Propositional check models        : 0
% 3.57/3.89  #    Propositional check unsatisfiable : 0
% 3.57/3.89  #    Propositional clauses             : 0
% 3.57/3.89  #    Propositional clauses after purity: 0
% 3.57/3.89  #    Propositional unsat core size     : 0
% 3.57/3.89  #    Propositional preprocessing time  : 0.000
% 3.57/3.89  #    Propositional encoding time       : 0.000
% 3.57/3.89  #    Propositional solver time         : 0.000
% 3.57/3.89  #    Success case prop preproc time    : 0.000
% 3.57/3.89  #    Success case prop encoding time   : 0.000
% 3.57/3.89  #    Success case prop solver time     : 0.000
% 3.57/3.89  # Current number of processed clauses  : 83
% 3.57/3.89  #    Positive orientable unit clauses  : 24
% 3.57/3.89  #    Positive unorientable unit clauses: 0
% 3.57/3.89  #    Negative unit clauses             : 1
% 3.57/3.89  #    Non-unit-clauses                  : 58
% 3.57/3.89  # Current number of unprocessed clauses: 56
% 3.57/3.89  # ...number of literals in the above   : 93
% 3.57/3.89  # Current number of archived formulas  : 0
% 3.57/3.89  # Current number of archived clauses   : 71
% 3.57/3.89  # Clause-clause subsumption calls (NU) : 2801
% 3.57/3.89  # Rec. Clause-clause subsumption calls : 994
% 3.57/3.89  # Non-unit clause-clause subsumptions  : 19
% 3.57/3.89  # Unit Clause-clause subsumption calls : 253
% 3.57/3.89  # Rewrite failures with RHS unbound    : 0
% 3.57/3.89  # BW rewrite match attempts            : 1
% 3.57/3.89  # BW rewrite match successes           : 0
% 3.57/3.89  # Condensation attempts                : 0
% 3.57/3.89  # Condensation successes               : 0
% 3.57/3.89  # Termbank termtop insertions          : 171050
% 3.57/3.89  # Search garbage collected termcells   : 88121
% 3.57/3.89  
% 3.57/3.89  # -------------------------------------------------
% 3.57/3.89  # User time                : 0.085 s
% 3.57/3.89  # System time              : 0.045 s
% 3.57/3.89  # Total time               : 0.130 s
% 3.57/3.89  # Maximum resident set size: 39908 pages
% 3.57/3.89  
% 3.57/3.89  # -------------------------------------------------
% 3.57/3.89  # User time                : 0.366 s
% 3.57/3.89  # System time              : 0.061 s
% 3.57/3.89  # Total time               : 0.427 s
% 3.57/3.89  # Maximum resident set size: 18652 pages
% 3.57/3.89  % E---3.1 exiting
%------------------------------------------------------------------------------