TSTP Solution File: CSR044+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR044+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 03:01:44 EDT 2022

% Result   : Theorem 0.24s 1.41s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   39 (  13 unt;   0 def)
%            Number of atoms       :   77 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   67 (  29   ~;  24   |;   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   :   34 (   0 sgn  19   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query44,conjecture,
    ? [X13] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X13)
        & tptpcol_16_29490(X13) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',query44) ).

fof(just48,axiom,
    ! [X19,X20] :
      ( ( mtvisible(X19)
        & genlmt(X19,X20) )
     => mtvisible(X20) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just48) ).

fof(just8,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just8) ).

fof(just9,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just9) ).

fof(just31,axiom,
    ! [X13] :
      ( isa(X13,c_tptpcol_16_29490)
     => tptpcol_16_29490(X13) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just31) ).

fof(just10,axiom,
    ! [X1] :
      ( ( mtvisible(c_cyclistsmt)
        & executionbyfiringsquad(X1) )
     => tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just10) ).

fof(just11,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just11) ).

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/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just1) ).

fof(just34,axiom,
    ! [X13] :
      ( executionbyfiringsquad(X13)
     => isa(X13,c_executionbyfiringsquad) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just34) ).

fof(just12,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',just12) ).

fof(c_0_10,negated_conjecture,
    ~ ? [X13] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X13)
          & tptpcol_16_29490(X13) ) ),
    inference(assume_negation,[status(cth)],[query44]) ).

fof(c_0_11,plain,
    ! [X21,X22] :
      ( ~ mtvisible(X21)
      | ~ genlmt(X21,X22)
      | mtvisible(X22) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just48])]) ).

fof(c_0_12,negated_conjecture,
    ! [X14] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X14)
        | ~ tptpcol_16_29490(X14) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

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

cnf(c_0_14,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[just8]) ).

cnf(c_0_15,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[just9]) ).

cnf(c_0_16,negated_conjecture,
    mtvisible(c_tptp_member3633_mt),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_17,plain,
    ! [X14] :
      ( ~ isa(X14,c_tptpcol_16_29490)
      | tptpcol_16_29490(X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just31])]) ).

fof(c_0_18,plain,
    ! [X2] :
      ( ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X2)
      | tptp_9_720(X2,f_relationallexistsfn(X2,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just10])]) ).

cnf(c_0_19,plain,
    ( mtvisible(c_cyclistsmt)
    | ~ mtvisible(c_tptp_spindleheadmt) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_20,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_15]),c_0_16])]) ).

fof(c_0_21,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(fof_nnf,[status(thm)],[just11]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ tptpcol_16_29490(X1)
    | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_23,plain,
    ( tptpcol_16_29490(X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,plain,
    ( tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
    | ~ executionbyfiringsquad(X1)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).

fof(c_0_26,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_27,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

fof(c_0_28,plain,
    ! [X14] :
      ( ~ executionbyfiringsquad(X14)
      | isa(X14,c_executionbyfiringsquad) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just34])]) ).

cnf(c_0_29,negated_conjecture,
    ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_30,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_24,c_0_25])]) ).

cnf(c_0_31,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(split_conjunct,[status(thm)],[just12]) ).

cnf(c_0_32,plain,
    ( isa(f_relationallexistsfn(X1,X2,X3,X4),X4)
    | ~ relationallexists(X2,X3,X4)
    | ~ isa(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_33,plain,
    relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_25])]) ).

cnf(c_0_34,plain,
    ( isa(X1,c_executionbyfiringsquad)
    | ~ executionbyfiringsquad(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_35,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_29,c_0_30]),c_0_31])]) ).

cnf(c_0_36,plain,
    ( isa(f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
    | ~ isa(X1,c_executionbyfiringsquad) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_37,plain,
    isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(spm,[status(thm)],[c_0_34,c_0_31]) ).

cnf(c_0_38,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CSR044+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n024.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Fri Jun 10 07:08:49 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.24/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.41  # Preprocessing time       : 0.015 s
% 0.24/1.41  
% 0.24/1.41  # Failure: Out of unprocessed clauses!
% 0.24/1.41  # OLD status GaveUp
% 0.24/1.41  # Parsed axioms                        : 65
% 0.24/1.41  # Removed by relevancy pruning/SinE    : 54
% 0.24/1.41  # Initial clauses                      : 12
% 0.24/1.41  # Removed in clause preprocessing      : 0
% 0.24/1.41  # Initial clauses in saturation        : 12
% 0.24/1.41  # Processed clauses                    : 18
% 0.24/1.41  # ...of these trivial                  : 0
% 0.24/1.41  # ...subsumed                          : 0
% 0.24/1.41  # ...remaining for further processing  : 18
% 0.24/1.41  # Other redundant clauses eliminated   : 0
% 0.24/1.41  # Clauses deleted for lack of memory   : 0
% 0.24/1.41  # Backward-subsumed                    : 0
% 0.24/1.41  # Backward-rewritten                   : 0
% 0.24/1.41  # Generated clauses                    : 9
% 0.24/1.41  # ...of the previous two non-trivial   : 6
% 0.24/1.41  # Contextual simplify-reflections      : 0
% 0.24/1.41  # Paramodulations                      : 9
% 0.24/1.41  # Factorizations                       : 0
% 0.24/1.41  # Equation resolutions                 : 0
% 0.24/1.41  # Current number of processed clauses  : 18
% 0.24/1.41  #    Positive orientable unit clauses  : 7
% 0.24/1.41  #    Positive unorientable unit clauses: 0
% 0.24/1.41  #    Negative unit clauses             : 0
% 0.24/1.41  #    Non-unit-clauses                  : 11
% 0.24/1.41  # Current number of unprocessed clauses: 0
% 0.24/1.41  # ...number of literals in the above   : 0
% 0.24/1.41  # Current number of archived formulas  : 0
% 0.24/1.41  # Current number of archived clauses   : 0
% 0.24/1.41  # Clause-clause subsumption calls (NU) : 3
% 0.24/1.41  # Rec. Clause-clause subsumption calls : 3
% 0.24/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.24/1.41  # Unit Clause-clause subsumption calls : 0
% 0.24/1.41  # Rewrite failures with RHS unbound    : 0
% 0.24/1.41  # BW rewrite match attempts            : 0
% 0.24/1.41  # BW rewrite match successes           : 0
% 0.24/1.41  # Condensation attempts                : 0
% 0.24/1.41  # Condensation successes               : 0
% 0.24/1.41  # Termbank termtop insertions          : 1045
% 0.24/1.41  
% 0.24/1.41  # -------------------------------------------------
% 0.24/1.41  # User time                : 0.011 s
% 0.24/1.41  # System time              : 0.004 s
% 0.24/1.41  # Total time               : 0.015 s
% 0.24/1.41  # Maximum resident set size: 2784 pages
% 0.24/1.41  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.24/1.41  # Preprocessing time       : 0.016 s
% 0.24/1.41  
% 0.24/1.41  # Proof found!
% 0.24/1.41  # SZS status Theorem
% 0.24/1.41  # SZS output start CNFRefutation
% See solution above
% 0.24/1.41  # Proof object total steps             : 39
% 0.24/1.41  # Proof object clause steps            : 21
% 0.24/1.41  # Proof object formula steps           : 18
% 0.24/1.41  # Proof object conjectures             : 8
% 0.24/1.41  # Proof object clause conjectures      : 5
% 0.24/1.41  # Proof object formula conjectures     : 3
% 0.24/1.41  # Proof object initial clauses used    : 11
% 0.24/1.41  # Proof object initial formulas used   : 10
% 0.24/1.41  # Proof object generating inferences   : 7
% 0.24/1.41  # Proof object simplifying inferences  : 12
% 0.24/1.41  # Training examples: 0 positive, 0 negative
% 0.24/1.41  # Parsed axioms                        : 65
% 0.24/1.41  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.41  # Initial clauses                      : 66
% 0.24/1.41  # Removed in clause preprocessing      : 0
% 0.24/1.41  # Initial clauses in saturation        : 66
% 0.24/1.41  # Processed clauses                    : 129
% 0.24/1.41  # ...of these trivial                  : 6
% 0.24/1.41  # ...subsumed                          : 17
% 0.24/1.41  # ...remaining for further processing  : 106
% 0.24/1.41  # Other redundant clauses eliminated   : 0
% 0.24/1.41  # Clauses deleted for lack of memory   : 0
% 0.24/1.41  # Backward-subsumed                    : 0
% 0.24/1.41  # Backward-rewritten                   : 3
% 0.24/1.41  # Generated clauses                    : 131
% 0.24/1.41  # ...of the previous two non-trivial   : 73
% 0.24/1.41  # Contextual simplify-reflections      : 0
% 0.24/1.41  # Paramodulations                      : 131
% 0.24/1.41  # Factorizations                       : 0
% 0.24/1.41  # Equation resolutions                 : 0
% 0.24/1.41  # Current number of processed clauses  : 103
% 0.24/1.41  #    Positive orientable unit clauses  : 50
% 0.24/1.41  #    Positive unorientable unit clauses: 0
% 0.24/1.41  #    Negative unit clauses             : 1
% 0.24/1.41  #    Non-unit-clauses                  : 52
% 0.24/1.41  # Current number of unprocessed clauses: 4
% 0.24/1.41  # ...number of literals in the above   : 12
% 0.24/1.41  # Current number of archived formulas  : 0
% 0.24/1.41  # Current number of archived clauses   : 3
% 0.24/1.41  # Clause-clause subsumption calls (NU) : 486
% 0.24/1.41  # Rec. Clause-clause subsumption calls : 422
% 0.24/1.41  # Non-unit clause-clause subsumptions  : 17
% 0.24/1.41  # Unit Clause-clause subsumption calls : 108
% 0.24/1.41  # Rewrite failures with RHS unbound    : 0
% 0.24/1.41  # BW rewrite match attempts            : 2
% 0.24/1.41  # BW rewrite match successes           : 2
% 0.24/1.41  # Condensation attempts                : 0
% 0.24/1.41  # Condensation successes               : 0
% 0.24/1.41  # Termbank termtop insertions          : 4392
% 0.24/1.41  
% 0.24/1.41  # -------------------------------------------------
% 0.24/1.41  # User time                : 0.017 s
% 0.24/1.41  # System time              : 0.003 s
% 0.24/1.41  # Total time               : 0.020 s
% 0.24/1.41  # Maximum resident set size: 3260 pages
%------------------------------------------------------------------------------