TSTP Solution File: CSR086+6 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR086+6 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 : Mon May 20 19:14:20 EDT 2024

% Result   : Theorem 3.53s 2.07s
% Output   : CNFRefutation 3.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            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 :   64 (  28   ~;  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_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/benchmark/Axioms/CSR003+2.ax',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/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26635) ).

fof(prove_from_ALL,conjecture,
    ? [X2341] : s__links(X2341,X2341,s__Arc13_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_ALL) ).

fof(kb_SUMO_32710,axiom,
    ! [X1148] :
      ( s__instance(X1148,s__GraphArc)
     => ( s__instance(X1148,s__GraphLoop)
      <=> ? [X1149] :
            ( s__instance(X1149,s__GraphNode)
            & s__links(X1149,X1149,X1148) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32710) ).

fof(kb_SUMO_32707,axiom,
    s__subclass(s__GraphLoop,s__GraphArc),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32707) ).

fof(local_1,axiom,
    s__instance(s__Arc13_1,s__GraphLoop),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

fof(c_0_6,plain,
    ! [X2437,X2438,X2439] :
      ( ~ s__instance(X2438,s__SetOrClass)
      | ~ s__instance(X2437,s__SetOrClass)
      | ~ s__subclass(X2437,X2438)
      | ~ s__instance(X2439,X2437)
      | s__instance(X2439,X2438) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26636])])]) ).

fof(c_0_7,plain,
    ! [X2435,X2436] :
      ( ( s__instance(X2435,s__SetOrClass)
        | ~ s__subclass(X2435,X2436) )
      & ( s__instance(X2436,s__SetOrClass)
        | ~ s__subclass(X2435,X2436) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26635])])])]) ).

fof(c_0_8,negated_conjecture,
    ~ ? [X2341] : s__links(X2341,X2341,s__Arc13_1),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

cnf(c_0_9,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_10,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_12,negated_conjecture,
    ! [X2342] : ~ s__links(X2342,X2342,s__Arc13_1),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

fof(c_0_13,plain,
    ! [X2539,X2541] :
      ( ( s__instance(esk22_1(X2539),s__GraphNode)
        | ~ s__instance(X2539,s__GraphLoop)
        | ~ s__instance(X2539,s__GraphArc) )
      & ( s__links(esk22_1(X2539),esk22_1(X2539),X2539)
        | ~ s__instance(X2539,s__GraphLoop)
        | ~ s__instance(X2539,s__GraphArc) )
      & ( ~ s__instance(X2541,s__GraphNode)
        | ~ s__links(X2541,X2541,X2539)
        | s__instance(X2539,s__GraphLoop)
        | ~ s__instance(X2539,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_32710])])])])])]) ).

cnf(c_0_14,plain,
    ( s__instance(X1,X2)
    | ~ s__instance(X1,X3)
    | ~ s__subclass(X3,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_15,plain,
    s__subclass(s__GraphLoop,s__GraphArc),
    inference(split_conjunct,[status(thm)],[kb_SUMO_32707]) ).

cnf(c_0_16,negated_conjecture,
    ~ s__links(X1,X1,s__Arc13_1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( s__links(esk22_1(X1),esk22_1(X1),X1)
    | ~ s__instance(X1,s__GraphLoop)
    | ~ s__instance(X1,s__GraphArc) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    s__instance(s__Arc13_1,s__GraphLoop),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_19,plain,
    ( s__instance(X1,s__GraphArc)
    | ~ s__instance(X1,s__GraphLoop) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ~ s__instance(s__Arc13_1,s__GraphArc),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : CSR086+6 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n029.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   : Sun May 19 01:37:07 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.53/2.07  # Version: 3.1.0
% 3.53/2.07  # Preprocessing class: FMLLSMSLSSSNFFN.
% 3.53/2.07  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 3.53/2.07  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 3.53/2.07  # Starting new_bool_3 with 299s (1) cores
% 3.53/2.07  # Starting new_bool_1 with 299s (1) cores
% 3.53/2.07  # Starting sh5l with 299s (1) cores
% 3.53/2.07  # new_bool_1 with pid 6071 completed with status 0
% 3.53/2.07  # Result found by new_bool_1
% 3.53/2.07  # Preprocessing class: FMLLSMSLSSSNFFN.
% 3.53/2.07  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 3.53/2.07  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 3.53/2.07  # Starting new_bool_3 with 299s (1) cores
% 3.53/2.07  # Starting new_bool_1 with 299s (1) cores
% 3.53/2.07  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.53/2.07  # Search class: FGHSS-FSLM32-MFFFFFNN
% 3.53/2.07  # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 3.53/2.07  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 180s (1) cores
% 3.53/2.07  # G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with pid 6074 completed with status 0
% 3.53/2.07  # Result found by G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y
% 3.53/2.07  # Preprocessing class: FMLLSMSLSSSNFFN.
% 3.53/2.07  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 3.53/2.07  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 3.53/2.07  # Starting new_bool_3 with 299s (1) cores
% 3.53/2.07  # Starting new_bool_1 with 299s (1) cores
% 3.53/2.07  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 3.53/2.07  # Search class: FGHSS-FSLM32-MFFFFFNN
% 3.53/2.07  # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 3.53/2.07  # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 180s (1) cores
% 3.53/2.07  # Preprocessing time       : 0.014 s
% 3.53/2.07  # Presaturation interreduction done
% 3.53/2.07  
% 3.53/2.07  # Proof found!
% 3.53/2.07  # SZS status Theorem
% 3.53/2.07  # SZS output start CNFRefutation
% See solution above
% 3.53/2.07  # Parsed axioms                        : 55588
% 3.53/2.07  # Removed by relevancy pruning/SinE    : 55466
% 3.53/2.07  # Initial clauses                      : 201
% 3.53/2.07  # Removed in clause preprocessing      : 14
% 3.53/2.07  # Initial clauses in saturation        : 187
% 3.53/2.07  # Processed clauses                    : 434
% 3.53/2.07  # ...of these trivial                  : 18
% 3.53/2.07  # ...subsumed                          : 20
% 3.53/2.07  # ...remaining for further processing  : 396
% 3.53/2.07  # Other redundant clauses eliminated   : 32
% 3.53/2.07  # Clauses deleted for lack of memory   : 0
% 3.53/2.07  # Backward-subsumed                    : 7
% 3.53/2.07  # Backward-rewritten                   : 34
% 3.53/2.07  # Generated clauses                    : 888
% 3.53/2.07  # ...of the previous two non-redundant : 839
% 3.53/2.07  # ...aggressively subsumed             : 0
% 3.53/2.07  # Contextual simplify-reflections      : 15
% 3.53/2.07  # Paramodulations                      : 854
% 3.53/2.07  # Factorizations                       : 2
% 3.53/2.07  # NegExts                              : 0
% 3.53/2.07  # Equation resolutions                 : 32
% 3.53/2.07  # Disequality decompositions           : 0
% 3.53/2.07  # Total rewrite steps                  : 97
% 3.53/2.07  # ...of those cached                   : 40
% 3.53/2.07  # Propositional unsat checks           : 0
% 3.53/2.07  #    Propositional check models        : 0
% 3.53/2.07  #    Propositional check unsatisfiable : 0
% 3.53/2.07  #    Propositional clauses             : 0
% 3.53/2.07  #    Propositional clauses after purity: 0
% 3.53/2.07  #    Propositional unsat core size     : 0
% 3.53/2.07  #    Propositional preprocessing time  : 0.000
% 3.53/2.07  #    Propositional encoding time       : 0.000
% 3.53/2.07  #    Propositional solver time         : 0.000
% 3.53/2.07  #    Success case prop preproc time    : 0.000
% 3.53/2.07  #    Success case prop encoding time   : 0.000
% 3.53/2.07  #    Success case prop solver time     : 0.000
% 3.53/2.07  # Current number of processed clauses  : 144
% 3.53/2.07  #    Positive orientable unit clauses  : 46
% 3.53/2.07  #    Positive unorientable unit clauses: 0
% 3.53/2.07  #    Negative unit clauses             : 2
% 3.53/2.07  #    Non-unit-clauses                  : 96
% 3.53/2.07  # Current number of unprocessed clauses: 263
% 3.53/2.07  # ...number of literals in the above   : 924
% 3.53/2.07  # Current number of archived formulas  : 0
% 3.53/2.07  # Current number of archived clauses   : 228
% 3.53/2.07  # Clause-clause subsumption calls (NU) : 12580
% 3.53/2.07  # Rec. Clause-clause subsumption calls : 1373
% 3.53/2.07  # Non-unit clause-clause subsumptions  : 40
% 3.53/2.07  # Unit Clause-clause subsumption calls : 162
% 3.53/2.07  # Rewrite failures with RHS unbound    : 0
% 3.53/2.07  # BW rewrite match attempts            : 55
% 3.53/2.07  # BW rewrite match successes           : 31
% 3.53/2.07  # Condensation attempts                : 0
% 3.53/2.07  # Condensation successes               : 0
% 3.53/2.07  # Termbank termtop insertions          : 672732
% 3.53/2.07  # Search garbage collected termcells   : 293503
% 3.53/2.07  
% 3.53/2.07  # -------------------------------------------------
% 3.53/2.07  # User time                : 0.246 s
% 3.53/2.07  # System time              : 0.121 s
% 3.53/2.07  # Total time               : 0.366 s
% 3.53/2.07  # Maximum resident set size: 131724 pages
% 3.53/2.07  
% 3.53/2.07  # -------------------------------------------------
% 3.53/2.07  # User time                : 1.328 s
% 3.53/2.07  # System time              : 0.176 s
% 3.53/2.07  # Total time               : 1.504 s
% 3.53/2.07  # Maximum resident set size: 57424 pages
% 3.53/2.07  % E---3.1 exiting
% 3.53/2.07  % E exiting
%------------------------------------------------------------------------------