TSTP Solution File: CSR027+2 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CSR027+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n029.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 0.82s 0.60s
% Output   : CNFRefutation 0.82s
% 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(query77,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.F9uF2HDhME/E---3.1_14716.p',query77) ).

fof(ax1_1123,axiom,
    ! [X20,X21] :
      ( ( mtvisible(X20)
        & genlmt(X20,X21) )
     => mtvisible(X21) ),
    file('/export/starexec/sandbox/tmp/tmp.F9uF2HDhME/E---3.1_14716.p',ax1_1123) ).

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/sandbox/tmp/tmp.F9uF2HDhME/E---3.1_14716.p',ax1_159) ).

fof(ax1_20,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/export/starexec/sandbox/tmp/tmp.F9uF2HDhME/E---3.1_14716.p',ax1_20) ).

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/sandbox/tmp/tmp.F9uF2HDhME/E---3.1_14716.p',ax1_158) ).

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/sandbox/tmp/tmp.F9uF2HDhME/E---3.1_14716.p',ax1_297) ).

fof(ax1_316,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/export/starexec/sandbox/tmp/tmp.F9uF2HDhME/E---3.1_14716.p',ax1_316) ).

fof(ax1_791,axiom,
    ! [X13] :
      ( isa(X13,c_tptpcol_16_31868)
     => tptpcol_16_31868(X13) ),
    file('/export/starexec/sandbox/tmp/tmp.F9uF2HDhME/E---3.1_14716.p',ax1_791) ).

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,plain,
    ! [X30,X31] :
      ( ~ mtvisible(X30)
      | ~ genlmt(X30,X31)
      | mtvisible(X31) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1123])])]) ).

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)],[ax1_159])]) ).

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)],[ax1_20]) ).

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

fof(c_0_15,plain,
    ! [X25] :
      ( ~ mtvisible(c_tptp_member2610_mt)
      | ~ isa(X25,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | tptp_8_875(X25,f_relationallexistsfn(X25,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)],[ax1_158])])]) ).

fof(c_0_16,plain,
    ! [X36,X37,X38,X39] :
      ( ~ isa(X36,X37)
      | ~ relationallexists(X38,X37,X39)
      | isa(f_relationallexistsfn(X36,X38,X37,X39),X39) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_297])])]) ).

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)],[ax1_316]) ).

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)],[ax1_791])])]) ).

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
% 0.06/0.12  % Problem    : CSR027+2 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri May  3 15:10:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  Running first-order model finding
% 0.19/0.50  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.F9uF2HDhME/E---3.1_14716.p
% 0.82/0.60  # Version: 3.1.0
% 0.82/0.60  # Preprocessing class: FMLMSMSLSSSNFFN.
% 0.82/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.82/0.60  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.82/0.60  # Starting new_bool_3 with 600s (2) cores
% 0.82/0.60  # Starting new_bool_1 with 600s (2) cores
% 0.82/0.60  # Starting sh5l with 300s (1) cores
% 0.82/0.60  # sh5l with pid 14796 completed with status 0
% 0.82/0.60  # Result found by sh5l
% 0.82/0.60  # Preprocessing class: FMLMSMSLSSSNFFN.
% 0.82/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.82/0.60  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.82/0.60  # Starting new_bool_3 with 600s (2) cores
% 0.82/0.60  # Starting new_bool_1 with 600s (2) cores
% 0.82/0.60  # Starting sh5l with 300s (1) cores
% 0.82/0.60  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.82/0.60  # Search class: FHHNM-FSLM31-SFFFFFNN
% 0.82/0.60  # partial match(2): FHHNM-SSLM31-MFFFFFNN
% 0.82/0.60  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.82/0.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 0.82/0.60  # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with pid 14801 completed with status 0
% 0.82/0.60  # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d
% 0.82/0.60  # Preprocessing class: FMLMSMSLSSSNFFN.
% 0.82/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.82/0.60  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 900s (3) cores
% 0.82/0.60  # Starting new_bool_3 with 600s (2) cores
% 0.82/0.60  # Starting new_bool_1 with 600s (2) cores
% 0.82/0.60  # Starting sh5l with 300s (1) cores
% 0.82/0.60  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.82/0.60  # Search class: FHHNM-FSLM31-SFFFFFNN
% 0.82/0.60  # partial match(2): FHHNM-SSLM31-MFFFFFNN
% 0.82/0.60  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.82/0.60  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 181s (1) cores
% 0.82/0.60  # Preprocessing time       : 0.004 s
% 0.82/0.60  # Presaturation interreduction done
% 0.82/0.60  
% 0.82/0.60  # Proof found!
% 0.82/0.60  # SZS status Theorem
% 0.82/0.60  # SZS output start CNFRefutation
% See solution above
% 0.82/0.60  # Parsed axioms                        : 1132
% 0.82/0.60  # Removed by relevancy pruning/SinE    : 819
% 0.82/0.60  # Initial clauses                      : 314
% 0.82/0.60  # Removed in clause preprocessing      : 0
% 0.82/0.60  # Initial clauses in saturation        : 314
% 0.82/0.60  # Processed clauses                    : 1291
% 0.82/0.60  # ...of these trivial                  : 15
% 0.82/0.60  # ...subsumed                          : 26
% 0.82/0.60  # ...remaining for further processing  : 1250
% 0.82/0.60  # Other redundant clauses eliminated   : 0
% 0.82/0.60  # Clauses deleted for lack of memory   : 0
% 0.82/0.60  # Backward-subsumed                    : 1
% 0.82/0.60  # Backward-rewritten                   : 7
% 0.82/0.60  # Generated clauses                    : 1414
% 0.82/0.60  # ...of the previous two non-redundant : 679
% 0.82/0.60  # ...aggressively subsumed             : 0
% 0.82/0.60  # Contextual simplify-reflections      : 0
% 0.82/0.60  # Paramodulations                      : 1414
% 0.82/0.60  # Factorizations                       : 0
% 0.82/0.60  # NegExts                              : 0
% 0.82/0.60  # Equation resolutions                 : 0
% 0.82/0.60  # Disequality decompositions           : 0
% 0.82/0.60  # Total rewrite steps                  : 728
% 0.82/0.60  # ...of those cached                   : 488
% 0.82/0.60  # Propositional unsat checks           : 0
% 0.82/0.60  #    Propositional check models        : 0
% 0.82/0.60  #    Propositional check unsatisfiable : 0
% 0.82/0.60  #    Propositional clauses             : 0
% 0.82/0.60  #    Propositional clauses after purity: 0
% 0.82/0.60  #    Propositional unsat core size     : 0
% 0.82/0.60  #    Propositional preprocessing time  : 0.000
% 0.82/0.60  #    Propositional encoding time       : 0.000
% 0.82/0.60  #    Propositional solver time         : 0.000
% 0.82/0.60  #    Success case prop preproc time    : 0.000
% 0.82/0.60  #    Success case prop encoding time   : 0.000
% 0.82/0.60  #    Success case prop solver time     : 0.000
% 0.82/0.60  # Current number of processed clauses  : 940
% 0.82/0.60  #    Positive orientable unit clauses  : 534
% 0.82/0.60  #    Positive unorientable unit clauses: 0
% 0.82/0.60  #    Negative unit clauses             : 12
% 0.82/0.60  #    Non-unit-clauses                  : 394
% 0.82/0.60  # Current number of unprocessed clauses: 4
% 0.82/0.60  # ...number of literals in the above   : 4
% 0.82/0.60  # Current number of archived formulas  : 0
% 0.82/0.60  # Current number of archived clauses   : 310
% 0.82/0.60  # Clause-clause subsumption calls (NU) : 24087
% 0.82/0.60  # Rec. Clause-clause subsumption calls : 22679
% 0.82/0.60  # Non-unit clause-clause subsumptions  : 27
% 0.82/0.60  # Unit Clause-clause subsumption calls : 4090
% 0.82/0.60  # Rewrite failures with RHS unbound    : 0
% 0.82/0.60  # BW rewrite match attempts            : 5
% 0.82/0.60  # BW rewrite match successes           : 5
% 0.82/0.60  # Condensation attempts                : 0
% 0.82/0.60  # Condensation successes               : 0
% 0.82/0.60  # Termbank termtop insertions          : 32844
% 0.82/0.60  # Search garbage collected termcells   : 5292
% 0.82/0.60  
% 0.82/0.60  # -------------------------------------------------
% 0.82/0.60  # User time                : 0.063 s
% 0.82/0.60  # System time              : 0.009 s
% 0.82/0.60  # Total time               : 0.073 s
% 0.82/0.60  # Maximum resident set size: 4692 pages
% 0.82/0.60  
% 0.82/0.60  # -------------------------------------------------
% 0.82/0.60  # User time                : 0.073 s
% 0.82/0.60  # System time              : 0.012 s
% 0.82/0.60  # Total time               : 0.085 s
% 0.82/0.60  # Maximum resident set size: 2660 pages
% 0.82/0.60  % E---3.1 exiting
%------------------------------------------------------------------------------