TSTP Solution File: CSR044+3 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR044+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n025.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 0.83s 2.01s
% Output   : CNFRefutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   38 (  13 unt;   0 def)
%            Number of atoms       :   75 (   0 equ)
%            Maximal formula atoms :    3 (   1 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   :   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/solver/bin/../tmp/theBenchmark.p.mepo_128.in',query144) ).

fof(ax2_7997,axiom,
    ! [X21,X22] :
      ( ( mtvisible(X21)
        & genlmt(X21,X22) )
     => mtvisible(X22) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7997) ).

fof(ax2_5730,axiom,
    ! [X15] :
      ( isa(X15,c_tptpcol_16_29490)
     => tptpcol_16_29490(X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_5730) ).

fof(ax2_142,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_142) ).

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/benchmark/Axioms/CSR002+2.ax',ax2_2495) ).

fof(ax2_2496,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2496) ).

fof(ax2_4288,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_4288) ).

fof(ax2_19,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',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/benchmark/Axioms/CSR002+2.ax',ax2_2981) ).

fof(ax2_7920,axiom,
    ! [X15] :
      ( executionbyfiringsquad(X15)
     => isa(X15,c_executionbyfiringsquad) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7920) ).

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,
    ! [X23,X24] :
      ( ~ mtvisible(X23)
      | ~ genlmt(X23,X24)
      | mtvisible(X24) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7997])]) ).

fof(c_0_12,negated_conjecture,
    ! [X16] :
      ( mtvisible(c_tptp_member3633_mt)
      & ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X16)
        | ~ tptpcol_16_29490(X16) ) ),
    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,
    ! [X16] :
      ( ~ isa(X16,c_tptpcol_16_29490)
      | tptpcol_16_29490(X16) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_5730])]) ).

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)],[ax2_142]) ).

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,
    ( tptpcol_16_29490(X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_19,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)],[ax2_2495])]) ).

fof(c_0_20,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(fof_nnf,[status(thm)],[ax2_2496]) ).

cnf(c_0_21,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[ax2_4288]) ).

cnf(c_0_22,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])]) ).

cnf(c_0_23,negated_conjecture,
    ( ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1)
    | ~ isa(X1,c_tptpcol_16_29490) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

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_19]) ).

cnf(c_0_25,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(split_conjunct,[status(thm)],[ax2_19]) ).

fof(c_0_26,plain,
    ! [X11,X12,X13,X14] :
      ( ~ isa(X11,X12)
      | ~ relationallexists(X13,X12,X14)
      | isa(f_relationallexistsfn(X11,X13,X12,X14),X14) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_2981])]) ).

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_20]) ).

cnf(c_0_28,plain,
    mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_21]),c_0_22])]) ).

fof(c_0_29,plain,
    ! [X16] :
      ( ~ executionbyfiringsquad(X16)
      | isa(X16,c_executionbyfiringsquad) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7920])]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ isa(f_relationallexistsfn(c_tptpexecutionbyfiringsquad_90,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_31,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_32,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_28])]) ).

cnf(c_0_33,plain,
    ( isa(X1,c_executionbyfiringsquad)
    | ~ executionbyfiringsquad(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_34,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)],[c_0_30,c_0_28])]) ).

cnf(c_0_35,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_31,c_0_32]) ).

cnf(c_0_36,plain,
    isa(c_tptpexecutionbyfiringsquad_90,c_executionbyfiringsquad),
    inference(spm,[status(thm)],[c_0_33,c_0_25]) ).

cnf(c_0_37,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : CSR044+3 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n025.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 : Sat Jun 11 05:19:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.83/2.01  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.83/2.01  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.83/2.01  # Preprocessing time       : 0.151 s
% 0.83/2.01  
% 0.83/2.01  # Proof found!
% 0.83/2.01  # SZS status Theorem
% 0.83/2.01  # SZS output start CNFRefutation
% See solution above
% 0.83/2.01  # Proof object total steps             : 38
% 0.83/2.01  # Proof object clause steps            : 20
% 0.83/2.01  # Proof object formula steps           : 18
% 0.83/2.01  # Proof object conjectures             : 9
% 0.83/2.01  # Proof object clause conjectures      : 6
% 0.83/2.01  # Proof object formula conjectures     : 3
% 0.83/2.01  # Proof object initial clauses used    : 11
% 0.83/2.01  # Proof object initial formulas used   : 10
% 0.83/2.01  # Proof object generating inferences   : 7
% 0.83/2.01  # Proof object simplifying inferences  : 12
% 0.83/2.01  # Training examples: 0 positive, 0 negative
% 0.83/2.01  # Parsed axioms                        : 8006
% 0.83/2.01  # Removed by relevancy pruning/SinE    : 7943
% 0.83/2.01  # Initial clauses                      : 64
% 0.83/2.01  # Removed in clause preprocessing      : 0
% 0.83/2.01  # Initial clauses in saturation        : 64
% 0.83/2.01  # Processed clauses                    : 87
% 0.83/2.01  # ...of these trivial                  : 3
% 0.83/2.01  # ...subsumed                          : 15
% 0.83/2.01  # ...remaining for further processing  : 69
% 0.83/2.01  # Other redundant clauses eliminated   : 0
% 0.83/2.01  # Clauses deleted for lack of memory   : 0
% 0.83/2.01  # Backward-subsumed                    : 0
% 0.83/2.01  # Backward-rewritten                   : 3
% 0.83/2.01  # Generated clauses                    : 53
% 0.83/2.01  # ...of the previous two non-trivial   : 33
% 0.83/2.01  # Contextual simplify-reflections      : 0
% 0.83/2.01  # Paramodulations                      : 53
% 0.83/2.01  # Factorizations                       : 0
% 0.83/2.01  # Equation resolutions                 : 0
% 0.83/2.01  # Current number of processed clauses  : 66
% 0.83/2.01  #    Positive orientable unit clauses  : 33
% 0.83/2.01  #    Positive unorientable unit clauses: 0
% 0.83/2.01  #    Negative unit clauses             : 1
% 0.83/2.01  #    Non-unit-clauses                  : 32
% 0.83/2.01  # Current number of unprocessed clauses: 7
% 0.83/2.01  # ...number of literals in the above   : 21
% 0.83/2.01  # Current number of archived formulas  : 0
% 0.83/2.01  # Current number of archived clauses   : 3
% 0.83/2.01  # Clause-clause subsumption calls (NU) : 141
% 0.83/2.01  # Rec. Clause-clause subsumption calls : 126
% 0.83/2.01  # Non-unit clause-clause subsumptions  : 14
% 0.83/2.01  # Unit Clause-clause subsumption calls : 6
% 0.83/2.01  # Rewrite failures with RHS unbound    : 0
% 0.83/2.01  # BW rewrite match attempts            : 1
% 0.83/2.01  # BW rewrite match successes           : 1
% 0.83/2.01  # Condensation attempts                : 0
% 0.83/2.01  # Condensation successes               : 0
% 0.83/2.01  # Termbank termtop insertions          : 53886
% 0.83/2.01  
% 0.83/2.01  # -------------------------------------------------
% 0.83/2.01  # User time                : 0.134 s
% 0.83/2.01  # System time              : 0.019 s
% 0.83/2.01  # Total time               : 0.153 s
% 0.83/2.01  # Maximum resident set size: 19976 pages
% 0.83/24.01  eprover: CPU time limit exceeded, terminating
% 0.83/24.03  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.83/24.03  eprover: No such file or directory
% 0.83/24.03  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.83/24.03  eprover: No such file or directory
% 0.83/24.04  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.83/24.04  eprover: No such file or directory
% 0.83/24.04  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.83/24.04  eprover: No such file or directory
% 0.83/24.05  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.83/24.05  eprover: No such file or directory
% 0.83/24.06  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.83/24.06  eprover: No such file or directory
% 0.83/24.06  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.83/24.06  eprover: No such file or directory
% 0.83/24.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.83/24.07  eprover: No such file or directory
% 0.83/24.07  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.83/24.07  eprover: No such file or directory
% 0.83/24.08  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.83/24.08  eprover: No such file or directory
% 0.83/24.09  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.83/24.09  eprover: No such file or directory
%------------------------------------------------------------------------------