TSTP Solution File: CSR027+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR027+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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 0.23s 1.42s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   31 (   9 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   60 (  26   ~;  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(query27,conjecture,
    ? [X13] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => ( tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X13)
        & tptpcol_16_31868(X13) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',query27) ).

fof(just63,axiom,
    ! [X19,X20] :
      ( ( mtvisible(X19)
        & genlmt(X19,X20) )
     => mtvisible(X20) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just63) ).

fof(just34,axiom,
    ! [X13] :
      ( isa(X13,c_tptpcol_16_31868)
     => tptpcol_16_31868(X13) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just34) ).

fof(just12,axiom,
    ! [X1] :
      ( ( mtvisible(c_tptp_member2610_mt)
        & isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) )
     => 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)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just12) ).

fof(just9,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just9) ).

fof(just13,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/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just13) ).

fof(just1,axiom,
    ! [X1,X2,X3,X4] :
      ( ( isa(X1,X2)
        & relationallexists(X3,X2,X4) )
     => isa(f_relationallexistsfn(X1,X3,X2,X4),X4) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just1) ).

fof(just14,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just14) ).

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)],[query27]) ).

fof(c_0_9,plain,
    ! [X21,X22] :
      ( ~ mtvisible(X21)
      | ~ genlmt(X21,X22)
      | mtvisible(X22) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just63])]) ).

fof(c_0_10,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_11,plain,
    ! [X14] :
      ( ~ isa(X14,c_tptpcol_16_31868)
      | tptpcol_16_31868(X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just34])]) ).

fof(c_0_12,plain,
    ! [X2] :
      ( ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X2,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X2,f_relationallexistsfn(X2,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)],[just12])]) ).

cnf(c_0_13,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    inference(split_conjunct,[status(thm)],[just9]) ).

cnf(c_0_15,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_16,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)],[just13]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ tptpcol_16_31868(X1)
    | ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    ( tptpcol_16_31868(X1)
    | ~ isa(X1,c_tptpcol_16_31868) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,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_12]) ).

cnf(c_0_20,plain,
    mtvisible(c_tptp_member2610_mt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

fof(c_0_21,plain,
    ! [X5,X6,X7,X8] :
      ( ~ isa(X5,X6)
      | ~ relationallexists(X7,X6,X8)
      | isa(f_relationallexistsfn(X5,X7,X6,X8),X8) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just1])]) ).

cnf(c_0_22,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_16]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
    | ~ isa(X1,c_tptpcol_16_31868) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,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)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).

cnf(c_0_25,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(split_conjunct,[status(thm)],[just14]) ).

cnf(c_0_26,plain,
    ( isa(f_relationallexistsfn(X1,X2,X3,X4),X4)
    | ~ relationallexists(X2,X3,X4)
    | ~ isa(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_27,plain,
    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)],[c_0_22,c_0_20])]) ).

cnf(c_0_28,negated_conjecture,
    ~ isa(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),c_tptpcol_16_31868),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_29,plain,
    ( isa(f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),c_tptpcol_16_31868)
    | ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR027+1 : TPTP v8.1.0. Released v3.4.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n024.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 : Fri Jun 10 19:01:19 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.23/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42  # Preprocessing time       : 0.015 s
% 0.23/1.42  
% 0.23/1.42  # Failure: Out of unprocessed clauses!
% 0.23/1.42  # OLD status GaveUp
% 0.23/1.42  # Parsed axioms                        : 80
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 69
% 0.23/1.42  # Initial clauses                      : 12
% 0.23/1.42  # Removed in clause preprocessing      : 0
% 0.23/1.42  # Initial clauses in saturation        : 12
% 0.23/1.42  # Processed clauses                    : 14
% 0.23/1.42  # ...of these trivial                  : 0
% 0.23/1.42  # ...subsumed                          : 0
% 0.23/1.42  # ...remaining for further processing  : 14
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 0
% 0.23/1.42  # Backward-rewritten                   : 0
% 0.23/1.42  # Generated clauses                    : 5
% 0.23/1.42  # ...of the previous two non-trivial   : 2
% 0.23/1.42  # Contextual simplify-reflections      : 0
% 0.23/1.42  # Paramodulations                      : 5
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 0
% 0.23/1.42  # Current number of processed clauses  : 14
% 0.23/1.42  #    Positive orientable unit clauses  : 5
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 0
% 0.23/1.42  #    Non-unit-clauses                  : 9
% 0.23/1.42  # Current number of unprocessed clauses: 0
% 0.23/1.42  # ...number of literals in the above   : 0
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 0
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 3
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 1
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.42  # Unit Clause-clause subsumption calls : 0
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 0
% 0.23/1.42  # BW rewrite match successes           : 0
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 1157
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.013 s
% 0.23/1.42  # System time              : 0.002 s
% 0.23/1.42  # Total time               : 0.015 s
% 0.23/1.42  # Maximum resident set size: 2824 pages
% 0.23/1.42  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.42  # Preprocessing time       : 0.017 s
% 0.23/1.42  
% 0.23/1.42  # Proof found!
% 0.23/1.42  # SZS status Theorem
% 0.23/1.42  # SZS output start CNFRefutation
% See solution above
% 0.23/1.42  # Proof object total steps             : 31
% 0.23/1.42  # Proof object clause steps            : 16
% 0.23/1.42  # Proof object formula steps           : 15
% 0.23/1.42  # Proof object conjectures             : 8
% 0.23/1.42  # Proof object clause conjectures      : 5
% 0.23/1.42  # Proof object formula conjectures     : 3
% 0.23/1.42  # Proof object initial clauses used    : 9
% 0.23/1.42  # Proof object initial formulas used   : 8
% 0.23/1.42  # Proof object generating inferences   : 5
% 0.23/1.42  # Proof object simplifying inferences  : 10
% 0.23/1.42  # Training examples: 0 positive, 0 negative
% 0.23/1.42  # Parsed axioms                        : 80
% 0.23/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.42  # Initial clauses                      : 81
% 0.23/1.42  # Removed in clause preprocessing      : 0
% 0.23/1.42  # Initial clauses in saturation        : 81
% 0.23/1.42  # Processed clauses                    : 168
% 0.23/1.42  # ...of these trivial                  : 8
% 0.23/1.42  # ...subsumed                          : 20
% 0.23/1.42  # ...remaining for further processing  : 140
% 0.23/1.42  # Other redundant clauses eliminated   : 0
% 0.23/1.42  # Clauses deleted for lack of memory   : 0
% 0.23/1.42  # Backward-subsumed                    : 0
% 0.23/1.42  # Backward-rewritten                   : 2
% 0.23/1.42  # Generated clauses                    : 213
% 0.23/1.42  # ...of the previous two non-trivial   : 107
% 0.23/1.42  # Contextual simplify-reflections      : 0
% 0.23/1.42  # Paramodulations                      : 213
% 0.23/1.42  # Factorizations                       : 0
% 0.23/1.42  # Equation resolutions                 : 0
% 0.23/1.42  # Current number of processed clauses  : 138
% 0.23/1.42  #    Positive orientable unit clauses  : 70
% 0.23/1.42  #    Positive unorientable unit clauses: 0
% 0.23/1.42  #    Negative unit clauses             : 1
% 0.23/1.42  #    Non-unit-clauses                  : 67
% 0.23/1.42  # Current number of unprocessed clauses: 14
% 0.23/1.42  # ...number of literals in the above   : 33
% 0.23/1.42  # Current number of archived formulas  : 0
% 0.23/1.42  # Current number of archived clauses   : 2
% 0.23/1.42  # Clause-clause subsumption calls (NU) : 773
% 0.23/1.42  # Rec. Clause-clause subsumption calls : 733
% 0.23/1.42  # Non-unit clause-clause subsumptions  : 20
% 0.23/1.42  # Unit Clause-clause subsumption calls : 141
% 0.23/1.42  # Rewrite failures with RHS unbound    : 0
% 0.23/1.42  # BW rewrite match attempts            : 1
% 0.23/1.42  # BW rewrite match successes           : 1
% 0.23/1.42  # Condensation attempts                : 0
% 0.23/1.42  # Condensation successes               : 0
% 0.23/1.42  # Termbank termtop insertions          : 5825
% 0.23/1.42  
% 0.23/1.42  # -------------------------------------------------
% 0.23/1.42  # User time                : 0.018 s
% 0.23/1.42  # System time              : 0.005 s
% 0.23/1.42  # Total time               : 0.023 s
% 0.23/1.42  # Maximum resident set size: 3312 pages
%------------------------------------------------------------------------------