TSTP Solution File: CSR065+4 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR065+4 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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  : 600s
% DateTime : Fri Jul 15 03:02:05 EDT 2022

% Result   : Theorem 13.91s 25.10s
% Output   : CNFRefutation 13.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (  15 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   38 (  18   ~;  12   |;   3   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-1 aty)
%            Number of variables   :    9 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query215,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',query215) ).

fof(ax3_548,axiom,
    ! [X6] :
      ( ( mtvisible(c_tptp_member235_mt)
        & ridgeline_topographical(X6) )
     => tptpofobject(X6,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_548) ).

fof(ax3_44208,axiom,
    ! [X22,X23] :
      ( ( mtvisible(X22)
        & genlmt(X22,X23) )
     => mtvisible(X23) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_44208) ).

fof(ax3_6660,axiom,
    ( mtvisible(c_cyclistsmt)
   => ridgeline_topographical(c_tptpridgeline_topographical) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_6660) ).

fof(ax3_28488,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2095_mt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_28488) ).

fof(ax3_23519,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_23519) ).

fof(ax3_22722,axiom,
    genlmt(c_tptp_member2095_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_22722) ).

fof(ax3_86,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+3.ax',ax3_86) ).

fof(c_0_8,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    inference(assume_negation,[status(cth)],[query215]) ).

fof(c_0_9,negated_conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
    & ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    inference(fof_nnf,[status(thm)],[c_0_8]) ).

fof(c_0_10,plain,
    ! [X7] :
      ( ~ mtvisible(c_tptp_member235_mt)
      | ~ ridgeline_topographical(X7)
      | tptpofobject(X7,f_tptpquantityfn_13(n_468)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_548])]) ).

fof(c_0_11,plain,
    ! [X24,X25] :
      ( ~ mtvisible(X24)
      | ~ genlmt(X24,X25)
      | mtvisible(X25) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_44208])]) ).

cnf(c_0_12,negated_conjecture,
    ~ tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ( tptpofobject(X1,f_tptpquantityfn_13(n_468))
    | ~ ridgeline_topographical(X1)
    | ~ mtvisible(c_tptp_member235_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_14,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ridgeline_topographical(c_tptpridgeline_topographical) ),
    inference(fof_nnf,[status(thm)],[ax3_6660]) ).

cnf(c_0_15,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2095_mt),
    inference(split_conjunct,[status(thm)],[ax3_28488]) ).

cnf(c_0_17,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_18,negated_conjecture,
    ( ~ ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_tptp_member235_mt) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(split_conjunct,[status(thm)],[ax3_23519]) ).

cnf(c_0_21,plain,
    genlmt(c_tptp_member2095_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[ax3_22722]) ).

cnf(c_0_22,plain,
    mtvisible(c_tptp_member2095_mt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17])]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ mtvisible(c_tptp_member235_mt)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    mtvisible(c_tptp_member235_mt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_20]),c_0_17])]) ).

cnf(c_0_25,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[ax3_86]) ).

cnf(c_0_26,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_21]),c_0_22])]) ).

cnf(c_0_27,negated_conjecture,
    ~ mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_28,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_25]),c_0_26])]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : CSR065+4 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.14  % Command  : run_ET %s %d
% 0.13/0.35  % Computer : n017.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 11 10:34:06 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 13.91/25.10  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 13.91/25.10  # Preprocessing time       : 1.624 s
% 13.91/25.10  
% 13.91/25.10  # Proof found!
% 13.91/25.10  # SZS status Theorem
% 13.91/25.10  # SZS output start CNFRefutation
% See solution above
% 13.91/25.10  # Proof object total steps             : 29
% 13.91/25.10  # Proof object clause steps            : 16
% 13.91/25.10  # Proof object formula steps           : 13
% 13.91/25.10  # Proof object conjectures             : 8
% 13.91/25.10  # Proof object clause conjectures      : 5
% 13.91/25.10  # Proof object formula conjectures     : 3
% 13.91/25.10  # Proof object initial clauses used    : 9
% 13.91/25.10  # Proof object initial formulas used   : 8
% 13.91/25.10  # Proof object generating inferences   : 6
% 13.91/25.10  # Proof object simplifying inferences  : 11
% 13.91/25.10  # Training examples: 0 positive, 0 negative
% 13.91/25.10  # Parsed axioms                        : 44217
% 13.91/25.10  # Removed by relevancy pruning/SinE    : 0
% 13.91/25.10  # Initial clauses                      : 44218
% 13.91/25.10  # Removed in clause preprocessing      : 3
% 13.91/25.10  # Initial clauses in saturation        : 44215
% 13.91/25.10  # Processed clauses                    : 45933
% 13.91/25.10  # ...of these trivial                  : 1317
% 13.91/25.10  # ...subsumed                          : 874
% 13.91/25.10  # ...remaining for further processing  : 43741
% 13.91/25.10  # Other redundant clauses eliminated   : 2
% 13.91/25.10  # Clauses deleted for lack of memory   : 198678
% 13.91/25.10  # Backward-subsumed                    : 1
% 13.91/25.10  # Backward-rewritten                   : 112
% 13.91/25.10  # Generated clauses                    : 274777
% 13.91/25.10  # ...of the previous two non-trivial   : 247068
% 13.91/25.10  # Contextual simplify-reflections      : 185
% 13.91/25.10  # Paramodulations                      : 274775
% 13.91/25.10  # Factorizations                       : 0
% 13.91/25.10  # Equation resolutions                 : 2
% 13.91/25.10  # Current number of processed clauses  : 43626
% 13.91/25.10  #    Positive orientable unit clauses  : 23029
% 13.91/25.10  #    Positive unorientable unit clauses: 0
% 13.91/25.10  #    Negative unit clauses             : 130
% 13.91/25.10  #    Non-unit-clauses                  : 20467
% 13.91/25.10  # Current number of unprocessed clauses: 46597
% 13.91/25.10  # ...number of literals in the above   : 84564
% 13.91/25.10  # Current number of archived formulas  : 0
% 13.91/25.10  # Current number of archived clauses   : 113
% 13.91/25.10  # Clause-clause subsumption calls (NU) : 37836743
% 13.91/25.10  # Rec. Clause-clause subsumption calls : 34364346
% 13.91/25.10  # Non-unit clause-clause subsumptions  : 1029
% 13.91/25.10  # Unit Clause-clause subsumption calls : 479224
% 13.91/25.10  # Rewrite failures with RHS unbound    : 0
% 13.91/25.10  # BW rewrite match attempts            : 1638157
% 13.91/25.10  # BW rewrite match successes           : 14
% 13.91/25.10  # Condensation attempts                : 0
% 13.91/25.10  # Condensation successes               : 0
% 13.91/25.10  # Termbank termtop insertions          : 3970083
% 13.91/25.10  
% 13.91/25.10  # -------------------------------------------------
% 13.91/25.10  # User time                : 10.585 s
% 13.91/25.10  # System time              : 0.244 s
% 13.91/25.10  # Total time               : 10.829 s
% 13.91/25.10  # Maximum resident set size: 348132 pages
%------------------------------------------------------------------------------