TSTP Solution File: CSR065+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR065+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% 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  : 600s
% DateTime : Fri Jul 15 03:02:04 EDT 2022

% Result   : Theorem 0.27s 1.45s
% Output   : CNFRefutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (  16 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  18   ~;  11   |;   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(query115,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',query115) ).

fof(ax1_105,axiom,
    ! [X10] :
      ( ( mtvisible(c_tptp_member235_mt)
        & ridgeline_topographical(X10) )
     => tptpofobject(X10,f_tptpquantityfn_13(n_468)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_105) ).

fof(ax1_1123,axiom,
    ! [X20,X21] :
      ( ( mtvisible(X20)
        & genlmt(X20,X21) )
     => mtvisible(X21) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).

fof(ax1_419,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_419) ).

fof(ax1_25,axiom,
    ( mtvisible(c_cyclistsmt)
   => ridgeline_topographical(c_tptpridgeline_topographical) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_25) ).

fof(ax1_364,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_364) ).

fof(ax1_254,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_254) ).

fof(ax1_315,axiom,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_315) ).

fof(c_0_8,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptpofobject(c_tptpridgeline_topographical,f_tptpquantityfn_13(n_468)) ),
    inference(assume_negation,[status(cth)],[query115]) ).

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,
    ! [X11] :
      ( ~ mtvisible(c_tptp_member235_mt)
      | ~ ridgeline_topographical(X11)
      | tptpofobject(X11,f_tptpquantityfn_13(n_468)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_105])]) ).

fof(c_0_11,plain,
    ! [X22,X23] :
      ( ~ mtvisible(X22)
      | ~ genlmt(X22,X23)
      | mtvisible(X23) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1123])]) ).

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]) ).

cnf(c_0_14,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member235_mt),
    inference(split_conjunct,[status(thm)],[ax1_419]) ).

cnf(c_0_16,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_17,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_18,plain,
    mtvisible(c_tptp_member235_mt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

fof(c_0_19,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | ridgeline_topographical(c_tptpridgeline_topographical) ),
    inference(fof_nnf,[status(thm)],[ax1_25]) ).

cnf(c_0_20,negated_conjecture,
    ~ ridgeline_topographical(c_tptpridgeline_topographical),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]) ).

cnf(c_0_21,plain,
    ( ridgeline_topographical(c_tptpridgeline_topographical)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_22,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member3993_mt),
    inference(split_conjunct,[status(thm)],[ax1_364]) ).

cnf(c_0_23,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[ax1_254]) ).

cnf(c_0_24,negated_conjecture,
    ~ mtvisible(c_cyclistsmt),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_25,plain,
    genlmt(c_tptp_member3993_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[ax1_315]) ).

cnf(c_0_26,plain,
    mtvisible(c_tptp_member3993_mt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_22]),c_0_16])]) ).

cnf(c_0_27,plain,
    ~ mtvisible(c_tptp_spindleheadmt),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,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_14,c_0_25]),c_0_26])]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR065+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Fri Jun 10 15:00:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.27/1.45  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.27/1.45  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.27/1.45  # Preprocessing time       : 0.033 s
% 0.27/1.45  
% 0.27/1.45  # Failure: Out of unprocessed clauses!
% 0.27/1.45  # OLD status GaveUp
% 0.27/1.45  # Parsed axioms                        : 1132
% 0.27/1.45  # Removed by relevancy pruning/SinE    : 1063
% 0.27/1.45  # Initial clauses                      : 70
% 0.27/1.45  # Removed in clause preprocessing      : 0
% 0.27/1.45  # Initial clauses in saturation        : 70
% 0.27/1.45  # Processed clauses                    : 116
% 0.27/1.45  # ...of these trivial                  : 0
% 0.27/1.45  # ...subsumed                          : 20
% 0.27/1.45  # ...remaining for further processing  : 96
% 0.27/1.45  # Other redundant clauses eliminated   : 0
% 0.27/1.45  # Clauses deleted for lack of memory   : 0
% 0.27/1.45  # Backward-subsumed                    : 0
% 0.27/1.45  # Backward-rewritten                   : 5
% 0.27/1.45  # Generated clauses                    : 82
% 0.27/1.45  # ...of the previous two non-trivial   : 49
% 0.27/1.45  # Contextual simplify-reflections      : 0
% 0.27/1.45  # Paramodulations                      : 82
% 0.27/1.45  # Factorizations                       : 0
% 0.27/1.45  # Equation resolutions                 : 0
% 0.27/1.45  # Current number of processed clauses  : 91
% 0.27/1.45  #    Positive orientable unit clauses  : 41
% 0.27/1.45  #    Positive unorientable unit clauses: 0
% 0.27/1.45  #    Negative unit clauses             : 8
% 0.27/1.45  #    Non-unit-clauses                  : 42
% 0.27/1.45  # Current number of unprocessed clauses: 0
% 0.27/1.45  # ...number of literals in the above   : 0
% 0.27/1.45  # Current number of archived formulas  : 0
% 0.27/1.45  # Current number of archived clauses   : 5
% 0.27/1.45  # Clause-clause subsumption calls (NU) : 278
% 0.27/1.45  # Rec. Clause-clause subsumption calls : 259
% 0.27/1.45  # Non-unit clause-clause subsumptions  : 15
% 0.27/1.45  # Unit Clause-clause subsumption calls : 180
% 0.27/1.45  # Rewrite failures with RHS unbound    : 0
% 0.27/1.45  # BW rewrite match attempts            : 1
% 0.27/1.45  # BW rewrite match successes           : 1
% 0.27/1.45  # Condensation attempts                : 0
% 0.27/1.45  # Condensation successes               : 0
% 0.27/1.45  # Termbank termtop insertions          : 10755
% 0.27/1.45  
% 0.27/1.45  # -------------------------------------------------
% 0.27/1.45  # User time                : 0.029 s
% 0.27/1.45  # System time              : 0.007 s
% 0.27/1.45  # Total time               : 0.036 s
% 0.27/1.45  # Maximum resident set size: 5472 pages
% 0.27/1.45  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.27/1.45  # Preprocessing time       : 0.051 s
% 0.27/1.45  
% 0.27/1.45  # Proof found!
% 0.27/1.45  # SZS status Theorem
% 0.27/1.45  # SZS output start CNFRefutation
% See solution above
% 0.27/1.45  # Proof object total steps             : 29
% 0.27/1.45  # Proof object clause steps            : 16
% 0.27/1.45  # Proof object formula steps           : 13
% 0.27/1.45  # Proof object conjectures             : 8
% 0.27/1.45  # Proof object clause conjectures      : 5
% 0.27/1.45  # Proof object formula conjectures     : 3
% 0.27/1.45  # Proof object initial clauses used    : 9
% 0.27/1.45  # Proof object initial formulas used   : 8
% 0.27/1.45  # Proof object generating inferences   : 6
% 0.27/1.45  # Proof object simplifying inferences  : 10
% 0.27/1.45  # Training examples: 0 positive, 0 negative
% 0.27/1.45  # Parsed axioms                        : 1132
% 0.27/1.45  # Removed by relevancy pruning/SinE    : 0
% 0.27/1.45  # Initial clauses                      : 1133
% 0.27/1.45  # Removed in clause preprocessing      : 0
% 0.27/1.45  # Initial clauses in saturation        : 1133
% 0.27/1.45  # Processed clauses                    : 1333
% 0.27/1.45  # ...of these trivial                  : 46
% 0.27/1.45  # ...subsumed                          : 34
% 0.27/1.45  # ...remaining for further processing  : 1252
% 0.27/1.45  # Other redundant clauses eliminated   : 0
% 0.27/1.45  # Clauses deleted for lack of memory   : 0
% 0.27/1.45  # Backward-subsumed                    : 1
% 0.27/1.45  # Backward-rewritten                   : 13
% 0.27/1.45  # Generated clauses                    : 2648
% 0.27/1.45  # ...of the previous two non-trivial   : 2429
% 0.27/1.45  # Contextual simplify-reflections      : 0
% 0.27/1.45  # Paramodulations                      : 2648
% 0.27/1.45  # Factorizations                       : 0
% 0.27/1.45  # Equation resolutions                 : 0
% 0.27/1.45  # Current number of processed clauses  : 1238
% 0.27/1.45  #    Positive orientable unit clauses  : 422
% 0.27/1.45  #    Positive unorientable unit clauses: 0
% 0.27/1.45  #    Negative unit clauses             : 39
% 0.27/1.45  #    Non-unit-clauses                  : 777
% 0.27/1.45  # Current number of unprocessed clauses: 2201
% 0.27/1.45  # ...number of literals in the above   : 3850
% 0.27/1.45  # Current number of archived formulas  : 0
% 0.27/1.45  # Current number of archived clauses   : 14
% 0.27/1.45  # Clause-clause subsumption calls (NU) : 98559
% 0.27/1.45  # Rec. Clause-clause subsumption calls : 91217
% 0.27/1.45  # Non-unit clause-clause subsumptions  : 31
% 0.27/1.45  # Unit Clause-clause subsumption calls : 11624
% 0.27/1.45  # Rewrite failures with RHS unbound    : 0
% 0.27/1.45  # BW rewrite match attempts            : 11
% 0.27/1.45  # BW rewrite match successes           : 8
% 0.27/1.45  # Condensation attempts                : 0
% 0.27/1.45  # Condensation successes               : 0
% 0.27/1.45  # Termbank termtop insertions          : 66745
% 0.27/1.45  
% 0.27/1.45  # -------------------------------------------------
% 0.27/1.45  # User time                : 0.124 s
% 0.27/1.45  # System time              : 0.005 s
% 0.27/1.45  # Total time               : 0.129 s
% 0.27/1.45  # Maximum resident set size: 11392 pages
%------------------------------------------------------------------------------