TSTP Solution File: CSR027+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CSR027+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Sat May  4 07:35:07 EDT 2024

% Result   : Theorem 0.22s 0.52s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   32 (  11 unt;   0 def)
%            Number of atoms       :   65 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   57 (  24   ~;  20   |;   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   :   30 (   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/tmp/tmp.siHWFTHVw2/E---3.1_25114.p',query27) ).

fof(just63,axiom,
    ! [X19,X20] :
      ( ( mtvisible(X19)
        & genlmt(X19,X20) )
     => mtvisible(X20) ),
    file('/export/starexec/sandbox/tmp/tmp.siHWFTHVw2/E---3.1_25114.p',just63) ).

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/tmp/tmp.siHWFTHVw2/E---3.1_25114.p',just13) ).

fof(just9,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/export/starexec/sandbox/tmp/tmp.siHWFTHVw2/E---3.1_25114.p',just9) ).

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/tmp/tmp.siHWFTHVw2/E---3.1_25114.p',just12) ).

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/tmp/tmp.siHWFTHVw2/E---3.1_25114.p',just1) ).

fof(just14,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/export/starexec/sandbox/tmp/tmp.siHWFTHVw2/E---3.1_25114.p',just14) ).

fof(just34,axiom,
    ! [X13] :
      ( isa(X13,c_tptpcol_16_31868)
     => tptpcol_16_31868(X13) ),
    file('/export/starexec/sandbox/tmp/tmp.siHWFTHVw2/E---3.1_25114.p',just34) ).

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,
    ! [X27,X28] :
      ( ~ mtvisible(X27)
      | ~ genlmt(X27,X28)
      | mtvisible(X28) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just63])])]) ).

fof(c_0_10,negated_conjecture,
    ! [X22] :
      ( mtvisible(c_tptp_spindlecollectormt)
      & ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X22)
        | ~ tptpcol_16_31868(X22) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

fof(c_0_11,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)],[inference(fof_nnf,[status(thm)],[just13])]) ).

cnf(c_0_12,plain,
    ( mtvisible(X2)
    | ~ mtvisible(X1)
    | ~ genlmt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    inference(split_conjunct,[status(thm)],[just9]) ).

cnf(c_0_14,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_15,plain,
    ! [X37] :
      ( ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X37,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X37,f_relationallexistsfn(X37,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just12])])]) ).

fof(c_0_16,plain,
    ! [X52,X53,X54,X55] :
      ( ~ isa(X52,X53)
      | ~ relationallexists(X54,X53,X55)
      | isa(f_relationallexistsfn(X52,X54,X53,X55),X55) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just1])])]) ).

cnf(c_0_17,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_11]) ).

cnf(c_0_18,plain,
    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_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))
    | ~ mtvisible(c_tptp_member2610_mt)
    | ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,plain,
    ( isa(f_relationallexistsfn(X1,X3,X2,X4),X4)
    | ~ isa(X1,X2)
    | ~ relationallexists(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,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_17,c_0_18])]) ).

cnf(c_0_22,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_18])]) ).

cnf(c_0_23,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(split_conjunct,[status(thm)],[just14]) ).

fof(c_0_24,plain,
    ! [X23] :
      ( ~ isa(X23,c_tptpcol_16_31868)
      | tptpcol_16_31868(X23) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just34])])]) ).

cnf(c_0_25,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_20,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1)
    | ~ tptpcol_16_31868(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_27,plain,
    tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,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(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,plain,
    ( tptpcol_16_31868(X1)
    | ~ isa(X1,c_tptpcol_16_31868) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_29,plain,
    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(spm,[status(thm)],[c_0_25,c_0_23]) ).

cnf(c_0_30,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(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : CSR027+1 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n024.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    : 300
% 0.13/0.35  % DateTime   : Fri May  3 14:47:08 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.22/0.49  Running first-order model finding
% 0.22/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.siHWFTHVw2/E---3.1_25114.p
% 0.22/0.52  # Version: 3.1.0
% 0.22/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52  # Starting sh5l with 300s (1) cores
% 0.22/0.52  # new_bool_1 with pid 25203 completed with status 0
% 0.22/0.52  # Result found by new_bool_1
% 0.22/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.52  # Search class: FHHNF-FFSM33-SFFFFFNN
% 0.22/0.52  # partial match(2): FGHNF-FFMM33-SFFFFFNN
% 0.22/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (1) cores
% 0.22/0.52  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 25205 completed with status 0
% 0.22/0.52  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.22/0.52  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.22/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.52  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.22/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.22/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.22/0.52  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.52  # Search class: FHHNF-FFSM33-SFFFFFNN
% 0.22/0.52  # partial match(2): FGHNF-FFMM33-SFFFFFNN
% 0.22/0.52  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.52  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 181s (1) cores
% 0.22/0.52  # Preprocessing time       : 0.006 s
% 0.22/0.52  # Presaturation interreduction done
% 0.22/0.52  
% 0.22/0.52  # Proof found!
% 0.22/0.52  # SZS status Theorem
% 0.22/0.52  # SZS output start CNFRefutation
% See solution above
% 0.22/0.52  # Parsed axioms                        : 80
% 0.22/0.52  # Removed by relevancy pruning/SinE    : 56
% 0.22/0.52  # Initial clauses                      : 25
% 0.22/0.52  # Removed in clause preprocessing      : 0
% 0.22/0.52  # Initial clauses in saturation        : 25
% 0.22/0.52  # Processed clauses                    : 68
% 0.22/0.52  # ...of these trivial                  : 0
% 0.22/0.52  # ...subsumed                          : 1
% 0.22/0.52  # ...remaining for further processing  : 67
% 0.22/0.52  # Other redundant clauses eliminated   : 0
% 0.22/0.52  # Clauses deleted for lack of memory   : 0
% 0.22/0.52  # Backward-subsumed                    : 0
% 0.22/0.52  # Backward-rewritten                   : 0
% 0.22/0.52  # Generated clauses                    : 30
% 0.22/0.52  # ...of the previous two non-redundant : 19
% 0.22/0.52  # ...aggressively subsumed             : 0
% 0.22/0.52  # Contextual simplify-reflections      : 0
% 0.22/0.52  # Paramodulations                      : 30
% 0.22/0.52  # Factorizations                       : 0
% 0.22/0.52  # NegExts                              : 0
% 0.22/0.52  # Equation resolutions                 : 0
% 0.22/0.52  # Disequality decompositions           : 0
% 0.22/0.52  # Total rewrite steps                  : 19
% 0.22/0.52  # ...of those cached                   : 9
% 0.22/0.52  # Propositional unsat checks           : 0
% 0.22/0.52  #    Propositional check models        : 0
% 0.22/0.52  #    Propositional check unsatisfiable : 0
% 0.22/0.52  #    Propositional clauses             : 0
% 0.22/0.52  #    Propositional clauses after purity: 0
% 0.22/0.52  #    Propositional unsat core size     : 0
% 0.22/0.52  #    Propositional preprocessing time  : 0.000
% 0.22/0.52  #    Propositional encoding time       : 0.000
% 0.22/0.52  #    Propositional solver time         : 0.000
% 0.22/0.52  #    Success case prop preproc time    : 0.000
% 0.22/0.52  #    Success case prop encoding time   : 0.000
% 0.22/0.52  #    Success case prop solver time     : 0.000
% 0.22/0.52  # Current number of processed clauses  : 43
% 0.22/0.52  #    Positive orientable unit clauses  : 19
% 0.22/0.52  #    Positive unorientable unit clauses: 0
% 0.22/0.52  #    Negative unit clauses             : 1
% 0.22/0.52  #    Non-unit-clauses                  : 23
% 0.22/0.52  # Current number of unprocessed clauses: 0
% 0.22/0.52  # ...number of literals in the above   : 0
% 0.22/0.52  # Current number of archived formulas  : 0
% 0.22/0.52  # Current number of archived clauses   : 24
% 0.22/0.52  # Clause-clause subsumption calls (NU) : 82
% 0.22/0.52  # Rec. Clause-clause subsumption calls : 73
% 0.22/0.52  # Non-unit clause-clause subsumptions  : 1
% 0.22/0.52  # Unit Clause-clause subsumption calls : 11
% 0.22/0.52  # Rewrite failures with RHS unbound    : 0
% 0.22/0.52  # BW rewrite match attempts            : 0
% 0.22/0.52  # BW rewrite match successes           : 0
% 0.22/0.52  # Condensation attempts                : 0
% 0.22/0.52  # Condensation successes               : 0
% 0.22/0.52  # Termbank termtop insertions          : 2268
% 0.22/0.52  # Search garbage collected termcells   : 522
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.008 s
% 0.22/0.52  # System time              : 0.006 s
% 0.22/0.52  # Total time               : 0.014 s
% 0.22/0.52  # Maximum resident set size: 1912 pages
% 0.22/0.52  
% 0.22/0.52  # -------------------------------------------------
% 0.22/0.52  # User time                : 0.010 s
% 0.22/0.52  # System time              : 0.009 s
% 0.22/0.52  # Total time               : 0.019 s
% 0.22/0.52  # Maximum resident set size: 1784 pages
% 0.22/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------