TSTP Solution File: CSR044+4 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR044+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Sat May  4 07:31:38 EDT 2024

% Result   : Theorem 27.43s 27.08s
% Output   : CNFRefutation 27.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   37 (  13 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   63 (  27   ~;  22   |;   6   &)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   33 (   0 sgn  19   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query194,conjecture,
    ? [X16] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X16)
        & tptpcol_16_29490(X16) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.cSsUzkYkLm/E---3.1_12880.p',query194) ).

fof(ax3_44208,axiom,
    ! [X22,X23] :
      ( ( mtvisible(X22)
        & genlmt(X22,X23) )
     => mtvisible(X23) ),
    file('/export/starexec/sandbox2/tmp/tmp.cSsUzkYkLm/E---3.1_12880.p',ax3_44208) ).

fof(ax3_10983,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/tmp/tmp.cSsUzkYkLm/E---3.1_12880.p',ax3_10983) ).

fof(ax3_35879,axiom,
    ! [X16] :
      ( isa(X16,c_tptpcol_16_29490)
     => tptpcol_16_29490(X16) ),
    file('/export/starexec/sandbox2/tmp/tmp.cSsUzkYkLm/E---3.1_12880.p',ax3_35879) ).

fof(ax3_14922,axiom,
    ! [X5] :
      ( ( mtvisible(c_cyclistsmt)
        & executionbyfiringsquad(X5) )
     => tptp_9_720(X5,f_relationallexistsfn(X5,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('/export/starexec/sandbox2/tmp/tmp.cSsUzkYkLm/E---3.1_12880.p',ax3_14922) ).

fof(ax3_86,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/tmp/tmp.cSsUzkYkLm/E---3.1_12880.p',ax3_86) ).

fof(ax3_14923,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/export/starexec/sandbox2/tmp/tmp.cSsUzkYkLm/E---3.1_12880.p',ax3_14923) ).

fof(ax3_44118,axiom,
    ! [X16] :
      ( executionbyfiringsquad(X16)
     => isa(X16,c_executionbyfiringsquad) ),
    file('/export/starexec/sandbox2/tmp/tmp.cSsUzkYkLm/E---3.1_12880.p',ax3_44118) ).

fof(ax3_51,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/export/starexec/sandbox2/tmp/tmp.cSsUzkYkLm/E---3.1_12880.p',ax3_51) ).

fof(ax3_14126,axiom,
    ! [X5,X9,X10,X11] :
      ( ( isa(X5,X9)
        & relationallexists(X10,X9,X11) )
     => isa(f_relationallexistsfn(X5,X10,X9,X11),X11) ),
    file('/export/starexec/sandbox2/tmp/tmp.cSsUzkYkLm/E---3.1_12880.p',ax3_14126) ).

fof(c_0_10,negated_conjecture,
    ~ ? [X16] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X16)
          & tptpcol_16_29490(X16) ) ),
    inference(assume_negation,[status(cth)],[query194]) ).

fof(c_0_11,plain,
    ! [X29,X30] :
      ( ~ mtvisible(X29)
      | ~ genlmt(X29,X30)
      | mtvisible(X30) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_44208])])]) ).

fof(c_0_12,negated_conjecture,
    ! [X24] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X24)
        | ~ tptpcol_16_29490(X24) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

cnf(c_0_13,plain,
    ( mtvisible(X2)
    | ~ mtvisible(X1)
    | ~ genlmt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[ax3_10983]) ).

cnf(c_0_15,negated_conjecture,
    mtvisible(c_tptp_member3633_mt),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_16,plain,
    ! [X25] :
      ( ~ isa(X25,c_tptpcol_16_29490)
      | tptpcol_16_29490(X25) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_35879])])]) ).

fof(c_0_17,plain,
    ! [X31] :
      ( ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X31)
      | tptp_9_720(X31,f_relationallexistsfn(X31,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_14922])])]) ).

cnf(c_0_18,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[ax3_86]) ).

cnf(c_0_19,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
    | ~ tptpcol_16_29490(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_21,plain,
    ( tptpcol_16_29490(X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,plain,
    ( tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
    | ~ mtvisible(c_cyclistsmt)
    | ~ executionbyfiringsquad(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_23,plain,
    mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_19])]) ).

fof(c_0_24,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_14923])]) ).

fof(c_0_25,plain,
    ! [X57] :
      ( ~ executionbyfiringsquad(X57)
      | isa(X57,c_executionbyfiringsquad) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax3_44118])])]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,plain,
    ( tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
    | ~ executionbyfiringsquad(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23])]) ).

cnf(c_0_28,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(split_conjunct,[status(thm)],[ax3_51]) ).

fof(c_0_29,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)],[ax3_14126])])]) ).

cnf(c_0_30,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_31,plain,
    ( isa(X1,c_executionbyfiringsquad)
    | ~ executionbyfiringsquad(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_32,negated_conjecture,
    ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28])]) ).

cnf(c_0_33,plain,
    ( isa(f_relationallexistsfn(X1,X3,X2,X4),X4)
    | ~ isa(X1,X2)
    | ~ relationallexists(X3,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,plain,
    relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_23])]) ).

cnf(c_0_35,plain,
    isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(spm,[status(thm)],[c_0_31,c_0_28]) ).

cnf(c_0_36,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_35])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 13.20/13.24  % Problem    : CSR044+4 : TPTP v8.1.2. Released v3.4.0.
% 13.20/13.25  % Command    : run_E %s %d THM
% 13.25/13.46  % Computer : n021.cluster.edu
% 13.25/13.46  % Model    : x86_64 x86_64
% 13.25/13.46  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 13.25/13.46  % Memory   : 8042.1875MB
% 13.25/13.46  % OS       : Linux 3.10.0-693.el7.x86_64
% 13.25/13.47  % CPULimit   : 300
% 13.25/13.47  % WCLimit    : 300
% 13.25/13.47  % DateTime   : Fri May  3 15:20:21 EDT 2024
% 13.25/13.47  % CPUTime    : 
% 26.33/26.50  Running first-order theorem proving
% 26.33/26.50  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.cSsUzkYkLm/E---3.1_12880.p
% 27.43/27.08  # Version: 3.1.0
% 27.43/27.08  # Preprocessing class: FMLLLMSLSSSNFFN.
% 27.43/27.08  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.43/27.08  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 1500s (5) cores
% 27.43/27.08  # Starting new_bool_3 with 300s (1) cores
% 27.43/27.08  # Starting new_bool_1 with 300s (1) cores
% 27.43/27.08  # Starting sh5l with 300s (1) cores
% 27.43/27.08  # new_bool_3 with pid 12959 completed with status 0
% 27.43/27.08  # Result found by new_bool_3
% 27.43/27.08  # Preprocessing class: FMLLLMSLSSSNFFN.
% 27.43/27.08  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.43/27.08  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 1500s (5) cores
% 27.43/27.08  # Starting new_bool_3 with 300s (1) cores
% 27.43/27.08  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 27.43/27.08  # Search class: FHHNS-FFSM33-SFFFFFNN
% 27.43/27.08  # partial match(2): FHHNM-FFMM33-SFFFFFNN
% 27.43/27.08  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 27.43/27.08  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 27.43/27.08  # SAT001_MinMin_p005000_rr_RG with pid 12963 completed with status 0
% 27.43/27.08  # Result found by SAT001_MinMin_p005000_rr_RG
% 27.43/27.08  # Preprocessing class: FMLLLMSLSSSNFFN.
% 27.43/27.08  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 27.43/27.08  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 1500s (5) cores
% 27.43/27.08  # Starting new_bool_3 with 300s (1) cores
% 27.43/27.08  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 27.43/27.08  # Search class: FHHNS-FFSM33-SFFFFFNN
% 27.43/27.08  # partial match(2): FHHNM-FFMM33-SFFFFFNN
% 27.43/27.08  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 27.43/27.08  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 27.43/27.08  # Preprocessing time       : 0.012 s
% 27.43/27.08  # Presaturation interreduction done
% 27.43/27.08  
% 27.43/27.08  # Proof found!
% 27.43/27.08  # SZS status Theorem
% 27.43/27.08  # SZS output start CNFRefutation
% See solution above
% 27.43/27.08  # Parsed axioms                        : 44217
% 27.43/27.08  # Removed by relevancy pruning/SinE    : 44186
% 27.43/27.08  # Initial clauses                      : 32
% 27.43/27.08  # Removed in clause preprocessing      : 0
% 27.43/27.08  # Initial clauses in saturation        : 32
% 27.43/27.08  # Processed clauses                    : 66
% 27.43/27.08  # ...of these trivial                  : 3
% 27.43/27.08  # ...subsumed                          : 3
% 27.43/27.08  # ...remaining for further processing  : 60
% 27.43/27.08  # Other redundant clauses eliminated   : 0
% 27.43/27.08  # Clauses deleted for lack of memory   : 0
% 27.43/27.08  # Backward-subsumed                    : 0
% 27.43/27.08  # Backward-rewritten                   : 1
% 27.43/27.08  # Generated clauses                    : 25
% 27.43/27.08  # ...of the previous two non-redundant : 17
% 27.43/27.08  # ...aggressively subsumed             : 0
% 27.43/27.08  # Contextual simplify-reflections      : 0
% 27.43/27.08  # Paramodulations                      : 25
% 27.43/27.08  # Factorizations                       : 0
% 27.43/27.08  # NegExts                              : 0
% 27.43/27.08  # Equation resolutions                 : 0
% 27.43/27.08  # Disequality decompositions           : 0
% 27.43/27.08  # Total rewrite steps                  : 16
% 27.43/27.08  # ...of those cached                   : 7
% 27.43/27.08  # Propositional unsat checks           : 0
% 27.43/27.08  #    Propositional check models        : 0
% 27.43/27.08  #    Propositional check unsatisfiable : 0
% 27.43/27.08  #    Propositional clauses             : 0
% 27.43/27.08  #    Propositional clauses after purity: 0
% 27.43/27.08  #    Propositional unsat core size     : 0
% 27.43/27.08  #    Propositional preprocessing time  : 0.000
% 27.43/27.08  #    Propositional encoding time       : 0.000
% 27.43/27.08  #    Propositional solver time         : 0.000
% 27.43/27.08  #    Success case prop preproc time    : 0.000
% 27.43/27.08  #    Success case prop encoding time   : 0.000
% 27.43/27.08  #    Success case prop solver time     : 0.000
% 27.43/27.08  # Current number of processed clauses  : 33
% 27.43/27.08  #    Positive orientable unit clauses  : 19
% 27.43/27.08  #    Positive unorientable unit clauses: 0
% 27.43/27.08  #    Negative unit clauses             : 1
% 27.43/27.08  #    Non-unit-clauses                  : 13
% 27.43/27.08  # Current number of unprocessed clauses: 7
% 27.43/27.08  # ...number of literals in the above   : 14
% 27.43/27.08  # Current number of archived formulas  : 0
% 27.43/27.08  # Current number of archived clauses   : 27
% 27.43/27.08  # Clause-clause subsumption calls (NU) : 54
% 27.43/27.08  # Rec. Clause-clause subsumption calls : 44
% 27.43/27.08  # Non-unit clause-clause subsumptions  : 3
% 27.43/27.08  # Unit Clause-clause subsumption calls : 1
% 27.43/27.08  # Rewrite failures with RHS unbound    : 0
% 27.43/27.08  # BW rewrite match attempts            : 1
% 27.43/27.08  # BW rewrite match successes           : 1
% 27.43/27.08  # Condensation attempts                : 0
% 27.43/27.08  # Condensation successes               : 0
% 27.43/27.08  # Termbank termtop insertions          : 293294
% 27.43/27.08  # Search garbage collected termcells   : 157729
% 27.43/27.08  
% 27.43/27.08  # -------------------------------------------------
% 27.43/27.08  # User time                : 0.146 s
% 27.43/27.08  # System time              : 0.067 s
% 27.43/27.08  # Total time               : 0.213 s
% 27.43/27.08  # Maximum resident set size: 81612 pages
% 27.43/27.08  
% 27.43/27.08  # -------------------------------------------------
% 27.43/27.08  # User time                : 0.445 s
% 27.43/27.08  # System time              : 0.094 s
% 27.43/27.08  # Total time               : 0.540 s
% 27.43/27.08  # Maximum resident set size: 34596 pages
% 27.43/27.08  % E---3.1 exiting
% 27.43/27.08  % E exiting
%------------------------------------------------------------------------------