TSTP Solution File: CSR077+1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR077+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 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 : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 19:14:10 EDT 2024

% Result   : Theorem 35.31s 5.33s
% Output   : CNFRefutation 35.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   25 (   8 unt;   0 def)
%            Number of atoms       :   65 (  10 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   68 (  28   ~;  29   |;   4   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   6 usr;   8 con; 0-1 aty)
%            Number of variables   :   29 (   2 sgn  14   !;   0   ?)

% 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/sandbox2/benchmark/Axioms/CSR003+0.ax',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/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_26) ).

fof(kb_SUMO_3424,axiom,
    ! [X12] :
      ( s__instance(X12,s__RealNumber)
     => ( s__instance(X12,s__NegativeRealNumber)
       => s__SignumFn(X12) = "-1" ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3424) ).

fof(kb_SUMO_3422,axiom,
    ! [X12] :
      ( s__instance(X12,s__RealNumber)
     => ( s__instance(X12,s__NonnegativeRealNumber)
       => ( s__SignumFn(X12) = "1"
          | s__SignumFn(X12) = "0" ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3422) ).

fof(kb_SUMO_842,axiom,
    s__subclass(s__NonnegativeRealNumber,s__RealNumber),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_842) ).

fof(prove_from_SUMO,conjecture,
    ~ s__instance(s__Number3_1,s__NegativeRealNumber),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO) ).

fof(local_1,axiom,
    s__instance(s__Number3_1,s__NonnegativeRealNumber),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).

fof(c_0_7,plain,
    ! [X593,X594,X595] :
      ( ~ s__instance(X594,s__SetOrClass)
      | ~ s__instance(X593,s__SetOrClass)
      | ~ s__subclass(X593,X594)
      | ~ s__instance(X595,X593)
      | s__instance(X595,X594) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_27])])]) ).

fof(c_0_8,plain,
    ! [X591,X592] :
      ( ( s__instance(X591,s__SetOrClass)
        | ~ s__subclass(X591,X592) )
      & ( s__instance(X592,s__SetOrClass)
        | ~ s__subclass(X591,X592) ) ),
    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_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_7]) ).

cnf(c_0_10,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_12,plain,
    ! [X609] :
      ( ~ s__instance(X609,s__RealNumber)
      | ~ s__instance(X609,s__NegativeRealNumber)
      | s__SignumFn(X609) = "-1" ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3424])])]) ).

fof(c_0_13,plain,
    ! [X622] :
      ( ~ s__instance(X622,s__RealNumber)
      | ~ s__instance(X622,s__NonnegativeRealNumber)
      | s__SignumFn(X622) = "1"
      | s__SignumFn(X622) = "0" ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3422])])]) ).

cnf(c_0_14,plain,
    ( s__instance(X1,X2)
    | ~ s__subclass(X3,X2)
    | ~ s__instance(X1,X3) ),
    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__NonnegativeRealNumber,s__RealNumber),
    inference(split_conjunct,[status(thm)],[kb_SUMO_842]) ).

cnf(c_0_16,plain,
    ( s__SignumFn(X1) = "-1"
    | ~ s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__NegativeRealNumber) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( s__SignumFn(X1) = "1"
    | s__SignumFn(X1) = "0"
    | ~ s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__NonnegativeRealNumber) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    ( s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__NonnegativeRealNumber) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,plain,
    ( s__SignumFn(X1) = "1"
    | ~ s__instance(X1,s__NegativeRealNumber)
    | ~ s__instance(X1,s__NonnegativeRealNumber) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

fof(c_0_20,negated_conjecture,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[prove_from_SUMO])]) ).

cnf(c_0_21,plain,
    ( ~ s__instance(X1,s__NegativeRealNumber)
    | ~ s__instance(X1,s__NonnegativeRealNumber) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_19]),c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    s__instance(s__Number3_1,s__NegativeRealNumber),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_23,plain,
    s__instance(s__Number3_1,s__NonnegativeRealNumber),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : CSR077+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.08/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n020.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   : Sun May 19 00:37:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  Running first-order theorem proving
% 0.22/0.49  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 35.31/5.33  # Version: 3.1.0
% 35.31/5.33  # Preprocessing class: FMLLSMSLSSSNFFN.
% 35.31/5.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.31/5.33  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 35.31/5.33  # Starting new_bool_3 with 300s (1) cores
% 35.31/5.33  # Starting new_bool_1 with 300s (1) cores
% 35.31/5.33  # Starting sh5l with 300s (1) cores
% 35.31/5.33  # sh5l with pid 4096 completed with status 0
% 35.31/5.33  # Result found by sh5l
% 35.31/5.33  # Preprocessing class: FMLLSMSLSSSNFFN.
% 35.31/5.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.31/5.33  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 35.31/5.33  # Starting new_bool_3 with 300s (1) cores
% 35.31/5.33  # Starting new_bool_1 with 300s (1) cores
% 35.31/5.33  # Starting sh5l with 300s (1) cores
% 35.31/5.33  # SinE strategy is gf500_gu_R04_F100_L20000
% 35.31/5.33  # Search class: FGHSM-SMLM31-MFFFFFNN
% 35.31/5.33  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 35.31/5.33  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 181s (1) cores
% 35.31/5.33  # C07_19_nc_SAT001_MinMin_p005000_rr with pid 4099 completed with status 0
% 35.31/5.33  # Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 35.31/5.33  # Preprocessing class: FMLLSMSLSSSNFFN.
% 35.31/5.33  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 35.31/5.33  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 35.31/5.33  # Starting new_bool_3 with 300s (1) cores
% 35.31/5.33  # Starting new_bool_1 with 300s (1) cores
% 35.31/5.33  # Starting sh5l with 300s (1) cores
% 35.31/5.33  # SinE strategy is gf500_gu_R04_F100_L20000
% 35.31/5.33  # Search class: FGHSM-SMLM31-MFFFFFNN
% 35.31/5.33  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 35.31/5.33  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 181s (1) cores
% 35.31/5.33  # Preprocessing time       : 0.071 s
% 35.31/5.33  # Presaturation interreduction done
% 35.31/5.33  
% 35.31/5.33  # Proof found!
% 35.31/5.33  # SZS status Theorem
% 35.31/5.33  # SZS output start CNFRefutation
% See solution above
% 35.31/5.33  # Parsed axioms                        : 14789
% 35.31/5.33  # Removed by relevancy pruning/SinE    : 9018
% 35.31/5.33  # Initial clauses                      : 6583
% 35.31/5.33  # Removed in clause preprocessing      : 60
% 35.31/5.33  # Initial clauses in saturation        : 6523
% 35.31/5.33  # Processed clauses                    : 23047
% 35.31/5.33  # ...of these trivial                  : 1291
% 35.31/5.33  # ...subsumed                          : 1224
% 35.31/5.33  # ...remaining for further processing  : 20532
% 35.31/5.33  # Other redundant clauses eliminated   : 158
% 35.31/5.33  # Clauses deleted for lack of memory   : 0
% 35.31/5.33  # Backward-subsumed                    : 167
% 35.31/5.33  # Backward-rewritten                   : 704
% 35.31/5.33  # Generated clauses                    : 105078
% 35.31/5.33  # ...of the previous two non-redundant : 100350
% 35.31/5.33  # ...aggressively subsumed             : 0
% 35.31/5.33  # Contextual simplify-reflections      : 427
% 35.31/5.33  # Paramodulations                      : 104922
% 35.31/5.33  # Factorizations                       : 7
% 35.31/5.33  # NegExts                              : 0
% 35.31/5.33  # Equation resolutions                 : 162
% 35.31/5.33  # Disequality decompositions           : 0
% 35.31/5.33  # Total rewrite steps                  : 9308
% 35.31/5.33  # ...of those cached                   : 7134
% 35.31/5.33  # Propositional unsat checks           : 5
% 35.31/5.33  #    Propositional check models        : 3
% 35.31/5.33  #    Propositional check unsatisfiable : 0
% 35.31/5.33  #    Propositional clauses             : 0
% 35.31/5.33  #    Propositional clauses after purity: 0
% 35.31/5.33  #    Propositional unsat core size     : 0
% 35.31/5.33  #    Propositional preprocessing time  : 0.000
% 35.31/5.33  #    Propositional encoding time       : 0.119
% 35.31/5.33  #    Propositional solver time         : 0.178
% 35.31/5.33  #    Success case prop preproc time    : 0.000
% 35.31/5.33  #    Success case prop encoding time   : 0.000
% 35.31/5.33  #    Success case prop solver time     : 0.000
% 35.31/5.33  # Current number of processed clauses  : 13264
% 35.31/5.33  #    Positive orientable unit clauses  : 4569
% 35.31/5.33  #    Positive unorientable unit clauses: 12
% 35.31/5.33  #    Negative unit clauses             : 12
% 35.31/5.33  #    Non-unit-clauses                  : 8671
% 35.31/5.33  # Current number of unprocessed clauses: 60623
% 35.31/5.33  # ...number of literals in the above   : 199088
% 35.31/5.33  # Current number of archived formulas  : 0
% 35.31/5.33  # Current number of archived clauses   : 7164
% 35.31/5.33  # Clause-clause subsumption calls (NU) : 10430564
% 35.31/5.33  # Rec. Clause-clause subsumption calls : 6026490
% 35.31/5.33  # Non-unit clause-clause subsumptions  : 1737
% 35.31/5.33  # Unit Clause-clause subsumption calls : 831032
% 35.31/5.33  # Rewrite failures with RHS unbound    : 77
% 35.31/5.33  # BW rewrite match attempts            : 2760
% 35.31/5.33  # BW rewrite match successes           : 400
% 35.31/5.33  # Condensation attempts                : 0
% 35.31/5.33  # Condensation successes               : 0
% 35.31/5.33  # Termbank termtop insertions          : 1716586
% 35.31/5.33  # Search garbage collected termcells   : 77635
% 35.31/5.33  
% 35.31/5.33  # -------------------------------------------------
% 35.31/5.33  # User time                : 4.379 s
% 35.31/5.33  # System time              : 0.158 s
% 35.31/5.33  # Total time               : 4.537 s
% 35.31/5.33  # Maximum resident set size: 28732 pages
% 35.31/5.33  
% 35.31/5.33  # -------------------------------------------------
% 35.31/5.33  # User time                : 4.533 s
% 35.31/5.33  # System time              : 0.176 s
% 35.31/5.33  # Total time               : 4.710 s
% 35.31/5.33  # Maximum resident set size: 12444 pages
% 35.31/5.33  % E---3.1 exiting
% 35.31/5.33  % E exiting
%------------------------------------------------------------------------------