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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR027+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n019.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 03:01:28 EDT 2022

% Result   : Theorem 0.28s 1.46s
% Output   : CNFRefutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (   9 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   61 (  27   ~;  21   |;   6   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-4 aty)
%            Number of variables   :   31 (   0 sgn  17   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query77,conjecture,
    ? [X13] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X13)
        & tptpcol_16_31868(X13) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',query77) ).

fof(ax1_158,axiom,
    ! [X7] :
      ( ( mtvisible(c_tptp_member2610_mt)
        & isa(X7,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
     => tptp_8_875(X7,f_relationallexistsfn(X7,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_158) ).

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_316,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_316) ).

fof(ax1_20,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_20) ).

fof(ax1_791,axiom,
    ! [X13] :
      ( isa(X13,c_tptpcol_16_31868)
     => tptpcol_16_31868(X13) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_791) ).

fof(ax1_297,axiom,
    ! [X7,X8,X3,X9] :
      ( ( isa(X7,X8)
        & relationallexists(X3,X8,X9) )
     => isa(f_relationallexistsfn(X7,X3,X8,X9),X9) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_297) ).

fof(ax1_159,axiom,
    ( mtvisible(c_tptp_member2610_mt)
   => relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_159) ).

fof(c_0_8,negated_conjecture,
    ~ ? [X13] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X13)
          & tptpcol_16_31868(X13) ) ),
    inference(assume_negation,[status(cth)],[query77]) ).

fof(c_0_9,negated_conjecture,
    ! [X14] :
      ( mtvisible(c_tptp_spindlecollectormt)
      & ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X14)
        | ~ tptpcol_16_31868(X14) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).

fof(c_0_10,plain,
    ! [X8] :
      ( ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X8,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X8,f_relationallexistsfn(X8,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_158])]) ).

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,
    ( ~ tptpcol_16_31868(X1)
    | ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    ( tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
    | ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
    | ~ mtvisible(c_tptp_member2610_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(split_conjunct,[status(thm)],[ax1_316]) ).

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_member2610_mt),
    inference(split_conjunct,[status(thm)],[ax1_20]) ).

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

fof(c_0_18,plain,
    ! [X14] :
      ( ~ isa(X14,c_tptpcol_16_31868)
      | tptpcol_16_31868(X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_791])]) ).

fof(c_0_19,plain,
    ! [X10,X11,X12,X13] :
      ( ~ isa(X10,X11)
      | ~ relationallexists(X12,X11,X13)
      | isa(f_relationallexistsfn(X10,X12,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_297])]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
    | ~ mtvisible(c_tptp_member2610_mt) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_21,plain,
    mtvisible(c_tptp_member2610_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_22,plain,
    ( tptpcol_16_31868(X1)
    | ~ isa(X1,c_tptpcol_16_31868) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,plain,
    ( isa(f_relationallexistsfn(X1,X2,X3,X4),X4)
    | ~ relationallexists(X2,X3,X4)
    | ~ isa(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

fof(c_0_24,plain,
    ( ~ mtvisible(c_tptp_member2610_mt)
    | relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    inference(fof_nnf,[status(thm)],[ax1_159]) ).

cnf(c_0_25,negated_conjecture,
    ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]) ).

cnf(c_0_26,plain,
    ( tptpcol_16_31868(f_relationallexistsfn(X1,X2,X3,c_tptpcol_16_31868))
    | ~ relationallexists(X2,X3,c_tptpcol_16_31868)
    | ~ isa(X1,X3) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,plain,
    ( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
    | ~ mtvisible(c_tptp_member2610_mt) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,negated_conjecture,
    ~ relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_14])]) ).

cnf(c_0_29,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_21])]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR027+2 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 11 13:00:25 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.28/1.46  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.28/1.46  # Preprocessing time       : 0.049 s
% 0.28/1.46  
% 0.28/1.46  # Proof found!
% 0.28/1.46  # SZS status Theorem
% 0.28/1.46  # SZS output start CNFRefutation
% See solution above
% 0.28/1.46  # Proof object total steps             : 30
% 0.28/1.46  # Proof object clause steps            : 15
% 0.28/1.46  # Proof object formula steps           : 15
% 0.28/1.46  # Proof object conjectures             : 8
% 0.28/1.46  # Proof object clause conjectures      : 5
% 0.28/1.46  # Proof object formula conjectures     : 3
% 0.28/1.46  # Proof object initial clauses used    : 9
% 0.28/1.46  # Proof object initial formulas used   : 8
% 0.28/1.46  # Proof object generating inferences   : 4
% 0.28/1.46  # Proof object simplifying inferences  : 11
% 0.28/1.46  # Training examples: 0 positive, 0 negative
% 0.28/1.46  # Parsed axioms                        : 1132
% 0.28/1.46  # Removed by relevancy pruning/SinE    : 0
% 0.28/1.46  # Initial clauses                      : 1133
% 0.28/1.46  # Removed in clause preprocessing      : 0
% 0.28/1.46  # Initial clauses in saturation        : 1133
% 0.28/1.46  # Processed clauses                    : 2630
% 0.28/1.46  # ...of these trivial                  : 371
% 0.28/1.46  # ...subsumed                          : 82
% 0.28/1.46  # ...remaining for further processing  : 2176
% 0.28/1.46  # Other redundant clauses eliminated   : 0
% 0.28/1.46  # Clauses deleted for lack of memory   : 0
% 0.28/1.46  # Backward-subsumed                    : 2
% 0.28/1.46  # Backward-rewritten                   : 56
% 0.28/1.46  # Generated clauses                    : 3898
% 0.28/1.46  # ...of the previous two non-trivial   : 3635
% 0.28/1.46  # Contextual simplify-reflections      : 0
% 0.28/1.46  # Paramodulations                      : 3898
% 0.28/1.46  # Factorizations                       : 0
% 0.28/1.46  # Equation resolutions                 : 0
% 0.28/1.46  # Current number of processed clauses  : 2118
% 0.28/1.46  #    Positive orientable unit clauses  : 858
% 0.28/1.46  #    Positive unorientable unit clauses: 0
% 0.28/1.46  #    Negative unit clauses             : 181
% 0.28/1.46  #    Non-unit-clauses                  : 1079
% 0.28/1.46  # Current number of unprocessed clauses: 2088
% 0.28/1.46  # ...number of literals in the above   : 4785
% 0.28/1.46  # Current number of archived formulas  : 0
% 0.28/1.46  # Current number of archived clauses   : 58
% 0.28/1.46  # Clause-clause subsumption calls (NU) : 186341
% 0.28/1.46  # Rec. Clause-clause subsumption calls : 172268
% 0.28/1.46  # Non-unit clause-clause subsumptions  : 82
% 0.28/1.46  # Unit Clause-clause subsumption calls : 147480
% 0.28/1.46  # Rewrite failures with RHS unbound    : 0
% 0.28/1.46  # BW rewrite match attempts            : 30
% 0.28/1.46  # BW rewrite match successes           : 27
% 0.28/1.46  # Condensation attempts                : 0
% 0.28/1.46  # Condensation successes               : 0
% 0.28/1.46  # Termbank termtop insertions          : 75832
% 0.28/1.46  
% 0.28/1.46  # -------------------------------------------------
% 0.28/1.46  # User time                : 0.188 s
% 0.28/1.46  # System time              : 0.011 s
% 0.28/1.46  # Total time               : 0.199 s
% 0.28/1.46  # Maximum resident set size: 13772 pages
%------------------------------------------------------------------------------