TSTP Solution File: CSR101+2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR101+2 : TPTP v8.2.0. 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 : Mon May 20 19:14:34 EDT 2024

% Result   : Theorem 1.34s 1.19s
% Output   : CNFRefutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   8 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   45 (  19   ~;  16   |;   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   :   24 (   2 sgn  12   !;   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/sandbox/benchmark/Axioms/CSR003+1.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/sandbox/benchmark/Axioms/CSR003+1.ax',kb_SUMO_26) ).

fof(prove_from_SUMO_MILO,conjecture,
    ! [X1223] :
      ( s__instance(X1223,s__Class32_2)
     => s__instance(X1223,s__Class32_1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(local_8,axiom,
    s__subclass(s__Class32_2,s__Class32_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_8) ).

fof(local_9,axiom,
    s__subclass(s__Class32_3,s__Class32_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_9) ).

fof(c_0_5,plain,
    ! [X1230,X1231,X1232] :
      ( ~ s__instance(X1231,s__SetOrClass)
      | ~ s__instance(X1230,s__SetOrClass)
      | ~ s__subclass(X1230,X1231)
      | ~ s__instance(X1232,X1230)
      | s__instance(X1232,X1231) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_27])])]) ).

fof(c_0_6,plain,
    ! [X1228,X1229] :
      ( ( s__instance(X1228,s__SetOrClass)
        | ~ s__subclass(X1228,X1229) )
      & ( s__instance(X1229,s__SetOrClass)
        | ~ s__subclass(X1228,X1229) ) ),
    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_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]) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1223] :
        ( s__instance(X1223,s__Class32_2)
       => s__instance(X1223,s__Class32_1) ),
    inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).

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_7,c_0_8]),c_0_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,
    ( 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_10])])])]) ).

cnf(c_0_14,plain,
    s__subclass(s__Class32_3,s__Class32_1),
    inference(split_conjunct,[status(thm)],[local_9]) ).

cnf(c_0_15,plain,
    ( s__instance(X1,s__Class32_3)
    | ~ s__instance(X1,s__Class32_2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    s__instance(esk1_0,s__Class32_2),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,plain,
    ( s__instance(X1,s__Class32_1)
    | ~ s__instance(X1,s__Class32_3) ),
    inference(spm,[status(thm)],[c_0_11,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    s__instance(esk1_0,s__Class32_3),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ~ s__instance(esk1_0,s__Class32_1),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

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
% 0.04/0.13  % Problem    : CSR101+2 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.04/0.14  % Command    : run_E %s %d THM
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 01:33:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  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
% 1.34/1.19  # Version: 3.1.0
% 1.34/1.19  # Preprocessing class: FMLLSMSLSSSNFFN.
% 1.34/1.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.34/1.19  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.34/1.19  # Starting new_bool_3 with 300s (1) cores
% 1.34/1.19  # Starting new_bool_1 with 300s (1) cores
% 1.34/1.19  # Starting sh5l with 300s (1) cores
% 1.34/1.19  # new_bool_1 with pid 26444 completed with status 0
% 1.34/1.19  # Result found by new_bool_1
% 1.34/1.19  # Preprocessing class: FMLLSMSLSSSNFFN.
% 1.34/1.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.34/1.19  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.34/1.19  # Starting new_bool_3 with 300s (1) cores
% 1.34/1.19  # Starting new_bool_1 with 300s (1) cores
% 1.34/1.19  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.34/1.19  # Search class: FHUSF-FFMM00-SFFFFFNN
% 1.34/1.19  # partial match(1): FHUNF-FFMM00-SFFFFFNN
% 1.34/1.19  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.34/1.19  # Starting G----_0021_C18_F1_SE_CS_SP_S4S with 181s (1) cores
% 1.34/1.19  # G----_0021_C18_F1_SE_CS_SP_S4S with pid 26446 completed with status 0
% 1.34/1.19  # Result found by G----_0021_C18_F1_SE_CS_SP_S4S
% 1.34/1.19  # Preprocessing class: FMLLSMSLSSSNFFN.
% 1.34/1.19  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.34/1.19  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.34/1.19  # Starting new_bool_3 with 300s (1) cores
% 1.34/1.19  # Starting new_bool_1 with 300s (1) cores
% 1.34/1.19  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.34/1.19  # Search class: FHUSF-FFMM00-SFFFFFNN
% 1.34/1.19  # partial match(1): FHUNF-FFMM00-SFFFFFNN
% 1.34/1.19  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.34/1.19  # Starting G----_0021_C18_F1_SE_CS_SP_S4S with 181s (1) cores
% 1.34/1.19  # Preprocessing time       : 0.009 s
% 1.34/1.19  
% 1.34/1.19  # Proof found!
% 1.34/1.19  # SZS status Theorem
% 1.34/1.19  # SZS output start CNFRefutation
% See solution above
% 1.34/1.19  # Parsed axioms                        : 37991
% 1.34/1.19  # Removed by relevancy pruning/SinE    : 37910
% 1.34/1.19  # Initial clauses                      : 86
% 1.34/1.19  # Removed in clause preprocessing      : 4
% 1.34/1.19  # Initial clauses in saturation        : 82
% 1.34/1.19  # Processed clauses                    : 123
% 1.34/1.19  # ...of these trivial                  : 3
% 1.34/1.19  # ...subsumed                          : 0
% 1.34/1.19  # ...remaining for further processing  : 120
% 1.34/1.19  # Other redundant clauses eliminated   : 0
% 1.34/1.19  # Clauses deleted for lack of memory   : 0
% 1.34/1.19  # Backward-subsumed                    : 0
% 1.34/1.19  # Backward-rewritten                   : 0
% 1.34/1.19  # Generated clauses                    : 277
% 1.34/1.19  # ...of the previous two non-redundant : 94
% 1.34/1.19  # ...aggressively subsumed             : 0
% 1.34/1.19  # Contextual simplify-reflections      : 2
% 1.34/1.19  # Paramodulations                      : 277
% 1.34/1.19  # Factorizations                       : 0
% 1.34/1.19  # NegExts                              : 0
% 1.34/1.19  # Equation resolutions                 : 0
% 1.34/1.20  # Disequality decompositions           : 0
% 1.34/1.20  # Total rewrite steps                  : 167
% 1.34/1.20  # ...of those cached                   : 144
% 1.34/1.20  # Propositional unsat checks           : 0
% 1.34/1.20  #    Propositional check models        : 0
% 1.34/1.20  #    Propositional check unsatisfiable : 0
% 1.34/1.20  #    Propositional clauses             : 0
% 1.34/1.20  #    Propositional clauses after purity: 0
% 1.34/1.20  #    Propositional unsat core size     : 0
% 1.34/1.20  #    Propositional preprocessing time  : 0.000
% 1.34/1.20  #    Propositional encoding time       : 0.000
% 1.34/1.20  #    Propositional solver time         : 0.000
% 1.34/1.20  #    Success case prop preproc time    : 0.000
% 1.34/1.20  #    Success case prop encoding time   : 0.000
% 1.34/1.20  #    Success case prop solver time     : 0.000
% 1.34/1.20  # Current number of processed clauses  : 120
% 1.34/1.20  #    Positive orientable unit clauses  : 112
% 1.34/1.20  #    Positive unorientable unit clauses: 0
% 1.34/1.20  #    Negative unit clauses             : 1
% 1.34/1.20  #    Non-unit-clauses                  : 7
% 1.34/1.20  # Current number of unprocessed clauses: 53
% 1.34/1.20  # ...number of literals in the above   : 115
% 1.34/1.20  # Current number of archived formulas  : 0
% 1.34/1.20  # Current number of archived clauses   : 0
% 1.34/1.20  # Clause-clause subsumption calls (NU) : 5
% 1.34/1.20  # Rec. Clause-clause subsumption calls : 5
% 1.34/1.20  # Non-unit clause-clause subsumptions  : 2
% 1.34/1.20  # Unit Clause-clause subsumption calls : 4
% 1.34/1.20  # Rewrite failures with RHS unbound    : 0
% 1.34/1.20  # BW rewrite match attempts            : 0
% 1.34/1.20  # BW rewrite match successes           : 0
% 1.34/1.20  # Condensation attempts                : 0
% 1.34/1.20  # Condensation successes               : 0
% 1.34/1.20  # Termbank termtop insertions          : 251707
% 1.34/1.20  # Search garbage collected termcells   : 125535
% 1.34/1.20  
% 1.34/1.20  # -------------------------------------------------
% 1.34/1.20  # User time                : 0.090 s
% 1.34/1.20  # System time              : 0.044 s
% 1.34/1.20  # Total time               : 0.134 s
% 1.34/1.20  # Maximum resident set size: 49268 pages
% 1.34/1.20  
% 1.34/1.20  # -------------------------------------------------
% 1.34/1.20  # User time                : 0.586 s
% 1.34/1.20  # System time              : 0.074 s
% 1.34/1.20  # Total time               : 0.660 s
% 1.34/1.20  # Maximum resident set size: 27836 pages
% 1.34/1.20  % E---3.1 exiting
% 1.34/1.20  % E exiting
%------------------------------------------------------------------------------