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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR044+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 12:16:10 PM UTC 2026

% Result   : Theorem 0.19s 19.26s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            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 :   65 (  28   ~;  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   :   35 (   0 sgn  19   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query244,conjecture,
    ? [X23] :
      ( mtvisible(c_tptp_member3633_mt)
     => ( tptpcol_16_29490(X23)
        & tptp_9_720(c_tptpexecutionbyfiringsquad_90,X23) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query244) ).

fof(ax4_540220,axiom,
    ! [X28,X29] :
      ( ( genlmt(X28,X29)
        & mtvisible(X28) )
     => mtvisible(X29) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_540220) ).

fof(ax4_28214,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_28214) ).

fof(ax4_68393,axiom,
    ! [X6] :
      ( ( executionbyfiringsquad(X6)
        & mtvisible(c_cyclistsmt) )
     => tptp_9_720(X6,f_relationallexistsfn(X6,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_68393) ).

fof(ax4_71548,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_71548) ).

fof(ax4_462257,axiom,
    ! [X23] :
      ( isa(X23,c_tptpcol_16_29490)
     => tptpcol_16_29490(X23) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_462257) ).

fof(ax4_8894,axiom,
    ! [X6,X9,X10,X11] :
      ( ( relationallexists(X10,X9,X11)
        & isa(X6,X9) )
     => isa(f_relationallexistsfn(X6,X10,X9,X11),X11) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_8894) ).

fof(ax4_68394,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_68394) ).

fof(ax4_81496,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_81496) ).

fof(ax4_537066,axiom,
    ! [X23] :
      ( executionbyfiringsquad(X23)
     => isa(X23,c_executionbyfiringsquad) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+4.ax',ax4_537066) ).

fof(c_0_10,negated_conjecture,
    ~ ? [X23] :
        ( mtvisible(c_tptp_member3633_mt)
       => ( tptpcol_16_29490(X23)
          & tptp_9_720(c_tptpexecutionbyfiringsquad_90,X23) ) ),
    inference(assume_negation,[status(cth)],[query244]) ).

fof(c_0_11,plain,
    ! [X118,X119] :
      ( mtvisible(X119)
      | ~ genlmt(X118,X119)
      | ~ mtvisible(X118) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_540220])])]) ).

fof(c_0_12,negated_conjecture,
    ! [X30] :
      ( ( ~ tptpcol_16_29490(X30)
        | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X30) )
      & mtvisible(c_tptp_member3633_mt) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])]) ).

cnf(c_0_13,plain,
    ( ~ genlmt(X1,X2)
    | ~ mtvisible(X1)
    | mtvisible(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)],[ax4_28214]) ).

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

fof(c_0_16,plain,
    ! [X35] :
      ( tptp_9_720(X35,f_relationallexistsfn(X35,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ executionbyfiringsquad(X35)
      | ~ mtvisible(c_cyclistsmt) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_68393])])]) ).

cnf(c_0_17,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[ax4_71548]) ).

cnf(c_0_18,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_19,plain,
    ( ~ executionbyfiringsquad(X1)
    | ~ mtvisible(c_cyclistsmt)
    | tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_18])]) ).

fof(c_0_21,plain,
    ! [X31] :
      ( tptpcol_16_29490(X31)
      | ~ isa(X31,c_tptpcol_16_29490) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_462257])])]) ).

fof(c_0_22,plain,
    ! [X51,X52,X53,X54] :
      ( isa(f_relationallexistsfn(X51,X53,X52,X54),X54)
      | ~ relationallexists(X53,X52,X54)
      | ~ isa(X51,X52) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_8894])])]) ).

fof(c_0_23,plain,
    ( relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_68394])]) ).

cnf(c_0_24,negated_conjecture,
    ( ~ tptpcol_16_29490(X1)
    | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_25,plain,
    ( ~ executionbyfiringsquad(X1)
    | tptp_9_720(X1,f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20])]) ).

cnf(c_0_26,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(split_conjunct,[status(thm)],[ax4_81496]) ).

cnf(c_0_27,plain,
    ( ~ isa(X1,c_tptpcol_16_29490)
    | tptpcol_16_29490(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_28,plain,
    ( ~ relationallexists(X3,X2,X4)
    | ~ isa(X1,X2)
    | isa(f_relationallexistsfn(X1,X3,X2,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

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)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).

cnf(c_0_31,plain,
    ( ~ isa(X1,X3)
    | ~ relationallexists(X2,X3,c_tptpcol_16_29490)
    | tptpcol_16_29490(f_relationallexistsfn(X1,X2,X3,c_tptpcol_16_29490)) ),
    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_20])]) ).

fof(c_0_33,plain,
    ! [X86] :
      ( isa(X86,c_executionbyfiringsquad)
      | ~ executionbyfiringsquad(X86) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_537066])])]) ).

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,
    ( ~ executionbyfiringsquad(X1)
    | isa(X1,c_executionbyfiringsquad) ),
    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_26])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR044+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n011.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 21 14:32:42 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.42  Running first-order theorem proving
% 0.14/0.42  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/benchmark/theBenchmark.p
% 0.19/19.26  % Version: 3.5.1
% 0.19/19.26  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.19/19.26  % Scheduled 4 strats onto 8 cores with 288 seconds (2304 total)
% 0.19/19.26  % Starting new_ho_10 with 576s (2) cores
% 0.19/19.26  % Starting sh3 with 576s (2) cores
% 0.19/19.26  % Starting ho_unfolding_3 with 576s (2) cores
% 0.19/19.26  % Starting new_ho_10_cnf2 with 576s (2) cores
% 0.19/19.26  % new_ho_10_cnf2 with pid 2155784 completed with status 0
% 0.19/19.26  % Result found by new_ho_10_cnf2
% 0.19/19.26  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.19/19.26  % Scheduled 4 strats onto 8 cores with 288 seconds (2304 total)
% 0.19/19.26  % Starting new_ho_10 with 576s (2) cores
% 0.19/19.26  % Starting sh3 with 576s (2) cores
% 0.19/19.26  % Starting ho_unfolding_3 with 576s (2) cores
% 0.19/19.26  % Starting new_ho_10_cnf2 with 576s (2) cores
% 0.19/19.26  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/19.26  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.19/19.26  % Search class: FHHSM-SSLM31-DFFFFFNN
% 0.19/19.26  % partial match(1): FGHSM-SSLM31-DFFFFFNN
% 0.19/19.26  % Scheduled 7 strats onto 2 cores with 574 seconds (574 total)
% 0.19/19.26  % Starting SubtermCWHack with 52s (1) cores
% 0.19/19.26  % Starting new_ho_10_cnf2 with 58s (1) cores
% 0.19/19.26  % new_ho_10_cnf2 with pid 2156053 completed with status 0
% 0.19/19.26  % Result found by new_ho_10_cnf2
% 0.19/19.26  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.19/19.26  % Scheduled 4 strats onto 8 cores with 288 seconds (2304 total)
% 0.19/19.26  % Starting new_ho_10 with 576s (2) cores
% 0.19/19.26  % Starting sh3 with 576s (2) cores
% 0.19/19.26  % Starting ho_unfolding_3 with 576s (2) cores
% 0.19/19.26  % Starting new_ho_10_cnf2 with 576s (2) cores
% 0.19/19.26  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.19/19.26  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.19/19.26  % Search class: FHHSM-SSLM31-DFFFFFNN
% 0.19/19.26  % partial match(1): FGHSM-SSLM31-DFFFFFNN
% 0.19/19.26  % Scheduled 7 strats onto 2 cores with 574 seconds (574 total)
% 0.19/19.26  % Starting SubtermCWHack with 52s (1) cores
% 0.19/19.26  % Starting new_ho_10_cnf2 with 58s (1) cores
% 0.19/19.26  % Preprocessing time       : 0.446 s
% 0.19/19.26  % Presaturation interreduction done
% 0.19/19.26  
% 0.19/19.26  % Proof found!
% 0.19/19.26  % SZS status Theorem
% 0.19/19.26  % SZS output start CNFRefutation
% See solution above
% 0.19/19.26  % Parsed axioms                        : 540250
% 0.19/19.26  % Removed by relevancy pruning/SinE    : 539027
% 0.19/19.26  % Initial clauses                      : 1224
% 0.19/19.26  % Removed in clause preprocessing      : 2
% 0.19/19.26  % Initial clauses in saturation        : 1222
% 0.19/19.26  % Processed clauses                    : 3959
% 0.19/19.26  % ...of these trivial                  : 176
% 0.19/19.26  % ...subsumed                          : 187
% 0.19/19.26  % ...remaining for further processing  : 3596
% 0.19/19.26  % Other redundant clauses eliminated   : 1
% 0.19/19.26  % Clauses deleted for lack of memory   : 0
% 0.19/19.26  % Backward-subsumed                    : 9
% 0.19/19.26  % Backward-rewritten                   : 57
% 0.19/19.26  % Generated clauses                    : 10952
% 0.19/19.26  % ...of the previous two non-redundant : 9845
% 0.19/19.26  % ...aggressively subsumed             : 0
% 0.19/19.26  % Contextual simplify-reflections      : 0
% 0.19/19.26  % Paramodulations                      : 10951
% 0.19/19.26  % Factorizations                       : 0
% 0.19/19.26  % NegExts                              : 0
% 0.19/19.26  % Equation resolutions                 : 1
% 0.19/19.26  % Disequality decompositions           : 0
% 0.19/19.26  % Total rewrite steps                  : 1428
% 0.19/19.26  % ...of those cached                   : 1034
% 0.19/19.26  % Propositional unsat checks           : 0
% 0.19/19.26  %    Propositional check models        : 0
% 0.19/19.26  %    Propositional check unsatisfiable : 0
% 0.19/19.26  %    Propositional clauses             : 0
% 0.19/19.26  %    Propositional clauses after purity: 0
% 0.19/19.26  %    Propositional unsat core size     : 0
% 0.19/19.26  %    Propositional preprocessing time  : 0.000
% 0.19/19.26  %    Propositional encoding time       : 0.000
% 0.19/19.26  %    Propositional solver time         : 0.000
% 0.19/19.26  %    Success case prop preproc time    : 0.000
% 0.19/19.26  %    Success case prop encoding time   : 0.000
% 0.19/19.26  %    Success case prop solver time     : 0.000
% 0.19/19.26  % Current number of processed clauses  : 2462
% 0.19/19.26  %    Positive orientable unit clauses  : 870
% 0.19/19.26  %    Positive unorientable unit clauses: 0
% 0.19/19.26  %    Negative unit clauses             : 73
% 0.19/19.26  %    Non-unit-clauses                  : 1519
% 0.19/19.26  % Current number of unprocessed clauses: 8108
% 0.19/19.26  % ...number of literals in the above   : 23557
% 0.19/19.26  % Current number of archived formulas  : 0
% 0.19/19.26  % Current number of archived clauses   : 1133
% 0.19/19.26  % Clause-clause subsumption calls (NU) : 312471
% 0.19/19.26  % Rec. Clause-clause subsumption calls : 197135
% 0.19/19.26  % Non-unit clause-clause subsumptions  : 186
% 0.19/19.26  % Unit Clause-clause subsumption calls : 33122
% 0.19/19.26  % Rewrite failures with RHS unbound    : 0
% 0.19/19.26  % BW rewrite match attempts            : 514
% 0.19/19.26  % BW rewrite match successes           : 50
% 0.19/19.26  % Condensation attempts                : 4032
% 0.19/19.26  % Condensation successes               : 0
% 0.19/19.26  % Termbank termtop insertions          : 3834779
% 0.19/19.26  % Search garbage collected termcells   : 2172834
% 0.19/19.26  
% 0.19/19.26  % -------------------------------------------------
% 0.19/19.26  % User time                : 3.344 s
% 0.19/19.26  % System time              : 1.229 s
% 0.19/19.26  % Total time               : 4.573 s
% 0.19/19.26  % Maximum resident set size: 1242276 pages
% 0.19/19.26  
% 0.19/19.26  % -------------------------------------------------
% 0.19/19.26  % User time                : 17.070 s
% 0.19/19.26  % System time              : 2.696 s
% 0.19/19.26  % Total time               : 19.766 s
% 0.19/19.26  % Maximum resident set size: 456960 pages
% 0.19/19.26  % E exiting
%------------------------------------------------------------------------------