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ET---2.0.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR044+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n022.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 03:01:45 EDT 2022

% Result   : Theorem 0.29s 1.46s
% Output   : CNFRefutation 0.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   37 (  13 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   66 (  29   ~;  23   |;   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(query94,conjecture,
    ? [X13] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptp_9_720(c_tptpexecutionbyfiringsquad_90,X13)
        & tptpcol_16_29490(X13) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',query94) ).

fof(ax1_1123,axiom,
    ! [X20,X21] :
      ( ( mtvisible(X20)
        & genlmt(X20,X21) )
     => mtvisible(X21) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).

fof(ax1_164,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/benchmark/Axioms/CSR002+1.ax',ax1_164) ).

fof(ax1_243,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_243) ).

fof(ax1_94,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_94) ).

fof(ax1_254,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).

fof(ax1_783,axiom,
    ! [X13] :
      ( isa(X13,c_tptpcol_16_29490)
     => tptpcol_16_29490(X13) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_783) ).

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/benchmark/Axioms/CSR002+1.ax',ax1_297) ).

fof(ax1_165,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_165) ).

fof(ax1_919,axiom,
    ! [X13] :
      ( executionbyfiringsquad(X13)
     => isa(X13,c_executionbyfiringsquad) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_919) ).

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)],[query94]) ).

fof(c_0_11,plain,
    ! [X22,X23] :
      ( ~ mtvisible(X22)
      | ~ genlmt(X22,X23)
      | mtvisible(X23) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1123])]) ).

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])])])]) ).

fof(c_0_13,plain,
    ! [X8] :
      ( ~ mtvisible(c_cyclistsmt)
      | ~ executionbyfiringsquad(X8)
      | tptp_9_720(X8,f_relationallexistsfn(X8,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_164])]) ).

cnf(c_0_14,plain,
    ( mtvisible(X1)
    | ~ genlmt(X2,X1)
    | ~ mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[ax1_243]) ).

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

cnf(c_0_17,negated_conjecture,
    ( ~ tptpcol_16_29490(X1)
    | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,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_13]) ).

cnf(c_0_19,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(split_conjunct,[status(thm)],[ax1_94]) ).

cnf(c_0_20,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[ax1_254]) ).

cnf(c_0_21,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

fof(c_0_22,plain,
    ! [X14] :
      ( ~ isa(X14,c_tptpcol_16_29490)
      | tptpcol_16_29490(X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_783])]) ).

fof(c_0_23,plain,
    ! [X10,X11,X12,X13] :
      ( ~ isa(X10,X11)
      | ~ relationallexists(X12,X11,X13)
      | isa(f_relationallexistsfn(X10,X12,X11,X13),X13) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_297])]) ).

fof(c_0_24,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(fof_nnf,[status(thm)],[ax1_165]) ).

cnf(c_0_25,negated_conjecture,
    ( ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_26,plain,
    mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_20]),c_0_21])]) ).

cnf(c_0_27,plain,
    ( tptpcol_16_29490(X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_28,plain,
    ( isa(f_relationallexistsfn(X1,X2,X3,X4),X4)
    | ~ relationallexists(X2,X3,X4)
    | ~ isa(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,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_30,negated_conjecture,
    ~ tptpcol_16_29490(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).

cnf(c_0_31,plain,
    ( tptpcol_16_29490(f_relationallexistsfn(X1,X2,X3,c_tptpcol_16_29490))
    | ~ relationallexists(X2,X3,c_tptpcol_16_29490)
    | ~ isa(X1,X3) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,plain,
    relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_26])]) ).

fof(c_0_33,plain,
    ! [X14] :
      ( ~ executionbyfiringsquad(X14)
      | isa(X14,c_executionbyfiringsquad) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_919])]) ).

cnf(c_0_34,negated_conjecture,
    ~ isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_35,plain,
    ( isa(X1,c_executionbyfiringsquad)
    | ~ executionbyfiringsquad(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CSR044+2 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Thu Jun  9 20:14:34 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.29/1.46  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.29/1.46  # Preprocessing time       : 0.050 s
% 0.29/1.46  
% 0.29/1.46  # Proof found!
% 0.29/1.46  # SZS status Theorem
% 0.29/1.46  # SZS output start CNFRefutation
% See solution above
% 0.29/1.46  # Proof object total steps             : 37
% 0.29/1.46  # Proof object clause steps            : 19
% 0.29/1.46  # Proof object formula steps           : 18
% 0.29/1.46  # Proof object conjectures             : 9
% 0.29/1.46  # Proof object clause conjectures      : 6
% 0.29/1.46  # Proof object formula conjectures     : 3
% 0.29/1.46  # Proof object initial clauses used    : 11
% 0.29/1.46  # Proof object initial formulas used   : 10
% 0.29/1.46  # Proof object generating inferences   : 6
% 0.29/1.46  # Proof object simplifying inferences  : 14
% 0.29/1.46  # Training examples: 0 positive, 0 negative
% 0.29/1.46  # Parsed axioms                        : 1132
% 0.29/1.46  # Removed by relevancy pruning/SinE    : 0
% 0.29/1.46  # Initial clauses                      : 1133
% 0.29/1.46  # Removed in clause preprocessing      : 0
% 0.29/1.46  # Initial clauses in saturation        : 1133
% 0.29/1.46  # Processed clauses                    : 2595
% 0.29/1.46  # ...of these trivial                  : 361
% 0.29/1.46  # ...subsumed                          : 83
% 0.29/1.46  # ...remaining for further processing  : 2151
% 0.29/1.46  # Other redundant clauses eliminated   : 0
% 0.29/1.46  # Clauses deleted for lack of memory   : 0
% 0.29/1.46  # Backward-subsumed                    : 2
% 0.29/1.46  # Backward-rewritten                   : 43
% 0.29/1.46  # Generated clauses                    : 3876
% 0.29/1.46  # ...of the previous two non-trivial   : 3610
% 0.29/1.46  # Contextual simplify-reflections      : 0
% 0.29/1.46  # Paramodulations                      : 3876
% 0.29/1.46  # Factorizations                       : 0
% 0.29/1.46  # Equation resolutions                 : 0
% 0.29/1.46  # Current number of processed clauses  : 2106
% 0.29/1.46  #    Positive orientable unit clauses  : 830
% 0.29/1.46  #    Positive unorientable unit clauses: 0
% 0.29/1.46  #    Negative unit clauses             : 177
% 0.29/1.46  #    Non-unit-clauses                  : 1099
% 0.29/1.46  # Current number of unprocessed clauses: 2120
% 0.29/1.46  # ...number of literals in the above   : 4852
% 0.29/1.46  # Current number of archived formulas  : 0
% 0.29/1.46  # Current number of archived clauses   : 45
% 0.29/1.46  # Clause-clause subsumption calls (NU) : 189100
% 0.29/1.46  # Rec. Clause-clause subsumption calls : 175145
% 0.29/1.46  # Non-unit clause-clause subsumptions  : 83
% 0.29/1.46  # Unit Clause-clause subsumption calls : 146224
% 0.29/1.46  # Rewrite failures with RHS unbound    : 0
% 0.29/1.46  # BW rewrite match attempts            : 22
% 0.29/1.46  # BW rewrite match successes           : 19
% 0.29/1.46  # Condensation attempts                : 0
% 0.29/1.46  # Condensation successes               : 0
% 0.29/1.46  # Termbank termtop insertions          : 75604
% 0.29/1.46  
% 0.29/1.46  # -------------------------------------------------
% 0.29/1.46  # User time                : 0.169 s
% 0.29/1.46  # System time              : 0.012 s
% 0.29/1.46  # Total time               : 0.181 s
% 0.29/1.46  # Maximum resident set size: 13772 pages
%------------------------------------------------------------------------------