TSTP Solution File: CSR044+3 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : CSR044+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n028.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 1.84s 1.83s
% Output   : CNFRefutation 1.84s
% 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(query144,conjecture,
    ? [X15] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X15)
        & tptpcol_16_29490(X15) ) ),
    file('/export/starexec/sandbox/tmp/tmp.ZqlnQRjMOQ/E---3.1_3834.p',query144) ).

fof(ax2_7997,axiom,
    ! [X21,X22] :
      ( ( mtvisible(X21)
        & genlmt(X21,X22) )
     => mtvisible(X22) ),
    file('/export/starexec/sandbox/tmp/tmp.ZqlnQRjMOQ/E---3.1_3834.p',ax2_7997) ).

fof(ax2_142,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/tmp/tmp.ZqlnQRjMOQ/E---3.1_3834.p',ax2_142) ).

fof(ax2_5730,axiom,
    ! [X15] :
      ( isa(X15,c_tptpcol_16_29490)
     => tptpcol_16_29490(X15) ),
    file('/export/starexec/sandbox/tmp/tmp.ZqlnQRjMOQ/E---3.1_3834.p',ax2_5730) ).

fof(ax2_2495,axiom,
    ! [X7] :
      ( ( mtvisible(c_cyclistsmt)
        & executionbyfiringsquad(X7) )
     => tptp_9_720(X7,f_relationallexistsfn(X7,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('/export/starexec/sandbox/tmp/tmp.ZqlnQRjMOQ/E---3.1_3834.p',ax2_2495) ).

fof(ax2_4288,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/tmp/tmp.ZqlnQRjMOQ/E---3.1_3834.p',ax2_4288) ).

fof(ax2_2496,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/export/starexec/sandbox/tmp/tmp.ZqlnQRjMOQ/E---3.1_3834.p',ax2_2496) ).

fof(ax2_7920,axiom,
    ! [X15] :
      ( executionbyfiringsquad(X15)
     => isa(X15,c_executionbyfiringsquad) ),
    file('/export/starexec/sandbox/tmp/tmp.ZqlnQRjMOQ/E---3.1_3834.p',ax2_7920) ).

fof(ax2_19,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/export/starexec/sandbox/tmp/tmp.ZqlnQRjMOQ/E---3.1_3834.p',ax2_19) ).

fof(ax2_2981,axiom,
    ! [X7,X8,X9,X10] :
      ( ( isa(X7,X8)
        & relationallexists(X9,X8,X10) )
     => isa(f_relationallexistsfn(X7,X9,X8,X10),X10) ),
    file('/export/starexec/sandbox/tmp/tmp.ZqlnQRjMOQ/E---3.1_3834.p',ax2_2981) ).

fof(c_0_10,negated_conjecture,
    ~ ? [X15] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X15)
          & tptpcol_16_29490(X15) ) ),
    inference(assume_negation,[status(cth)],[query144]) ).

fof(c_0_11,plain,
    ! [X28,X29] :
      ( ~ mtvisible(X28)
      | ~ genlmt(X28,X29)
      | mtvisible(X29) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7997])])]) ).

fof(c_0_12,negated_conjecture,
    ! [X23] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X23)
        | ~ tptpcol_16_29490(X23) ) ),
    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)],[ax2_142]) ).

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

fof(c_0_16,plain,
    ! [X24] :
      ( ~ isa(X24,c_tptpcol_16_29490)
      | tptpcol_16_29490(X24) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_5730])])]) ).

fof(c_0_17,plain,
    ! [X30] :
      ( ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X30)
      | tptp_9_720(X30,f_relationallexistsfn(X30,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)],[ax2_2495])])]) ).

cnf(c_0_18,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[ax2_4288]) ).

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)],[ax2_2496])]) ).

fof(c_0_25,plain,
    ! [X33] :
      ( ~ executionbyfiringsquad(X33)
      | isa(X33,c_executionbyfiringsquad) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7920])])]) ).

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)],[ax2_19]) ).

fof(c_0_29,plain,
    ! [X37,X38,X39,X40] :
      ( ~ isa(X37,X38)
      | ~ relationallexists(X39,X38,X40)
      | isa(f_relationallexistsfn(X37,X39,X38,X40),X40) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_2981])])]) ).

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
% 0.72/0.75  % Problem    : CSR044+3 : TPTP v8.1.2. Released v3.4.0.
% 0.77/0.76  % Command    : run_E %s %d THM
% 0.77/0.97  % Computer : n028.cluster.edu
% 0.77/0.97  % Model    : x86_64 x86_64
% 0.77/0.97  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.77/0.97  % Memory   : 8042.1875MB
% 0.77/0.97  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.77/0.97  % CPULimit   : 300
% 0.77/0.97  % WCLimit    : 300
% 0.77/0.97  % DateTime   : Fri May  3 14:57:53 EDT 2024
% 0.77/0.97  % CPUTime    : 
% 1.50/1.71  Running first-order theorem proving
% 1.50/1.71  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.ZqlnQRjMOQ/E---3.1_3834.p
% 1.84/1.83  # Version: 3.1.0
% 1.84/1.83  # Preprocessing class: FMLLMMSLSSSNFFN.
% 1.84/1.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.84/1.83  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 1500s (5) cores
% 1.84/1.83  # Starting new_bool_3 with 300s (1) cores
% 1.84/1.83  # Starting new_bool_1 with 300s (1) cores
% 1.84/1.83  # Starting sh5l with 300s (1) cores
% 1.84/1.83  # new_bool_1 with pid 4010 completed with status 0
% 1.84/1.83  # Result found by new_bool_1
% 1.84/1.83  # Preprocessing class: FMLLMMSLSSSNFFN.
% 1.84/1.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.84/1.83  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 1500s (5) cores
% 1.84/1.83  # Starting new_bool_3 with 300s (1) cores
% 1.84/1.83  # Starting new_bool_1 with 300s (1) cores
% 1.84/1.83  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.84/1.83  # Search class: FHHNS-FFSM33-SFFFFFNN
% 1.84/1.83  # partial match(2): FHHNM-FFMM33-SFFFFFNN
% 1.84/1.83  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.84/1.83  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.84/1.83  # SAT001_MinMin_p005000_rr_RG with pid 4013 completed with status 0
% 1.84/1.83  # Result found by SAT001_MinMin_p005000_rr_RG
% 1.84/1.83  # Preprocessing class: FMLLMMSLSSSNFFN.
% 1.84/1.83  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.84/1.83  # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 1500s (5) cores
% 1.84/1.83  # Starting new_bool_3 with 300s (1) cores
% 1.84/1.83  # Starting new_bool_1 with 300s (1) cores
% 1.84/1.83  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.84/1.83  # Search class: FHHNS-FFSM33-SFFFFFNN
% 1.84/1.83  # partial match(2): FHHNM-FFMM33-SFFFFFNN
% 1.84/1.83  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 1.84/1.83  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 1.84/1.83  # Preprocessing time       : 0.006 s
% 1.84/1.83  # Presaturation interreduction done
% 1.84/1.83  
% 1.84/1.83  # Proof found!
% 1.84/1.83  # SZS status Theorem
% 1.84/1.83  # SZS output start CNFRefutation
% See solution above
% 1.84/1.83  # Parsed axioms                        : 8006
% 1.84/1.83  # Removed by relevancy pruning/SinE    : 7975
% 1.84/1.83  # Initial clauses                      : 32
% 1.84/1.83  # Removed in clause preprocessing      : 0
% 1.84/1.83  # Initial clauses in saturation        : 32
% 1.84/1.83  # Processed clauses                    : 66
% 1.84/1.83  # ...of these trivial                  : 3
% 1.84/1.83  # ...subsumed                          : 3
% 1.84/1.83  # ...remaining for further processing  : 60
% 1.84/1.83  # Other redundant clauses eliminated   : 0
% 1.84/1.83  # Clauses deleted for lack of memory   : 0
% 1.84/1.83  # Backward-subsumed                    : 0
% 1.84/1.83  # Backward-rewritten                   : 1
% 1.84/1.83  # Generated clauses                    : 25
% 1.84/1.83  # ...of the previous two non-redundant : 17
% 1.84/1.83  # ...aggressively subsumed             : 0
% 1.84/1.83  # Contextual simplify-reflections      : 0
% 1.84/1.83  # Paramodulations                      : 25
% 1.84/1.83  # Factorizations                       : 0
% 1.84/1.83  # NegExts                              : 0
% 1.84/1.83  # Equation resolutions                 : 0
% 1.84/1.83  # Disequality decompositions           : 0
% 1.84/1.83  # Total rewrite steps                  : 16
% 1.84/1.83  # ...of those cached                   : 7
% 1.84/1.83  # Propositional unsat checks           : 0
% 1.84/1.83  #    Propositional check models        : 0
% 1.84/1.83  #    Propositional check unsatisfiable : 0
% 1.84/1.83  #    Propositional clauses             : 0
% 1.84/1.83  #    Propositional clauses after purity: 0
% 1.84/1.83  #    Propositional unsat core size     : 0
% 1.84/1.83  #    Propositional preprocessing time  : 0.000
% 1.84/1.83  #    Propositional encoding time       : 0.000
% 1.84/1.83  #    Propositional solver time         : 0.000
% 1.84/1.83  #    Success case prop preproc time    : 0.000
% 1.84/1.83  #    Success case prop encoding time   : 0.000
% 1.84/1.83  #    Success case prop solver time     : 0.000
% 1.84/1.83  # Current number of processed clauses  : 33
% 1.84/1.83  #    Positive orientable unit clauses  : 19
% 1.84/1.83  #    Positive unorientable unit clauses: 0
% 1.84/1.83  #    Negative unit clauses             : 1
% 1.84/1.83  #    Non-unit-clauses                  : 13
% 1.84/1.83  # Current number of unprocessed clauses: 7
% 1.84/1.83  # ...number of literals in the above   : 14
% 1.84/1.83  # Current number of archived formulas  : 0
% 1.84/1.83  # Current number of archived clauses   : 27
% 1.84/1.83  # Clause-clause subsumption calls (NU) : 26
% 1.84/1.83  # Rec. Clause-clause subsumption calls : 23
% 1.84/1.83  # Non-unit clause-clause subsumptions  : 3
% 1.84/1.83  # Unit Clause-clause subsumption calls : 2
% 1.84/1.83  # Rewrite failures with RHS unbound    : 0
% 1.84/1.83  # BW rewrite match attempts            : 1
% 1.84/1.83  # BW rewrite match successes           : 1
% 1.84/1.83  # Condensation attempts                : 0
% 1.84/1.83  # Condensation successes               : 0
% 1.84/1.83  # Termbank termtop insertions          : 52475
% 1.84/1.83  # Search garbage collected termcells   : 31083
% 1.84/1.83  
% 1.84/1.83  # -------------------------------------------------
% 1.84/1.83  # User time                : 0.034 s
% 1.84/1.83  # System time              : 0.018 s
% 1.84/1.83  # Total time               : 0.052 s
% 1.84/1.83  # Maximum resident set size: 18160 pages
% 1.84/1.83  
% 1.84/1.83  # -------------------------------------------------
% 1.84/1.83  # User time                : 0.080 s
% 1.84/1.83  # System time              : 0.024 s
% 1.84/1.83  # Total time               : 0.104 s
% 1.84/1.83  # Maximum resident set size: 8068 pages
% 1.84/1.83  % E---3.1 exiting
% 1.84/1.83  % E exiting
%------------------------------------------------------------------------------