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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR044+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n014.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 0.13s 0.43s
% Output   : CNFRefutation 0.13s
% 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 :   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   :   34 (   0 sgn  19   !;   2   ?)

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

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

fof(just9,axiom,
    genlmt(c_tptp_member3633_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

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

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

fof(just8,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

fof(just11,axiom,
    ( mtvisible(c_cyclistsmt)
   => relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

fof(just1,axiom,
    ! [X1,X2,X3,X4] :
      ( ( relationallexists(X3,X2,X4)
        & isa(X1,X2) )
     => isa(f_relationallexistsfn(X1,X3,X2,X4),X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just1) ).

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

fof(just12,axiom,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

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

fof(c_0_11,plain,
    ! [X98,X99] :
      ( mtvisible(X99)
      | ~ genlmt(X98,X99)
      | ~ mtvisible(X98) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just48])])]) ).

fof(c_0_12,negated_conjecture,
    ! [X141] :
      ( ( ~ tptpcol_16_29490(X141)
        | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X141) )
      & 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)],[just9]) ).

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

fof(c_0_16,plain,
    ! [X68] :
      ( tptpcol_16_29490(X68)
      | ~ isa(X68,c_tptpcol_16_29490) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just31])])]) ).

fof(c_0_17,plain,
    ! [X26] :
      ( tptp_9_720(X26,f_relationallexistsfn(X26,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490))
      | ~ executionbyfiringsquad(X26)
      | ~ mtvisible(c_cyclistsmt) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just10])])]) ).

cnf(c_0_18,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[just8]) ).

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])]) ).

fof(c_0_20,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)],[just11])]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ tptpcol_16_29490(X1)
    | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_22,plain,
    ( ~ isa(X1,c_tptpcol_16_29490)
    | tptpcol_16_29490(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_23,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_17]) ).

cnf(c_0_24,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_25,plain,
    ! [X22,X23,X24,X25] :
      ( isa(f_relationallexistsfn(X22,X24,X23,X25),X25)
      | ~ relationallexists(X24,X23,X25)
      | ~ isa(X22,X23) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just1])])]) ).

cnf(c_0_26,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | relationallexists(c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_27,plain,
    ! [X71] :
      ( isa(X71,c_executionbyfiringsquad)
      | ~ executionbyfiringsquad(X71) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[just34])])]) ).

cnf(c_0_28,negated_conjecture,
    ( ~ isa(X1,c_tptpcol_16_29490)
    | ~ tptp_9_720(c_tptpexecutionbyfiringsquad_90,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_29,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_23,c_0_24])]) ).

cnf(c_0_30,plain,
    executionbyfiringsquad(c_tptpexecutionbyfiringsquad_90),
    inference(split_conjunct,[status(thm)],[just12]) ).

cnf(c_0_31,plain,
    ( ~ relationallexists(X3,X2,X4)
    | ~ isa(X1,X2)
    | isa(f_relationallexistsfn(X1,X3,X2,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

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_26,c_0_24])]) ).

cnf(c_0_33,plain,
    ( ~ executionbyfiringsquad(X1)
    | isa(X1,c_executionbyfiringsquad) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

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)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).

cnf(c_0_35,plain,
    ( ~ isa(X1,c_executionbyfiringsquad)
    | isa(f_relationallexistsfn(X1,c_tptp_9_720,c_executionbyfiringsquad,c_tptpcol_16_29490),c_tptpcol_16_29490) ),
    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_30]) ).

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
% 0.00/0.02  % Problem  : CSR044+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n014.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 14:32:19 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  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
% 0.13/0.43  % Version: 3.5.1
% 0.13/0.43  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43  % Starting new_bool_1 with 300s (1) cores
% 0.13/0.43  % Starting sh5l with 300s (1) cores
% 0.13/0.43  % C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 116342 completed with status 0
% 0.13/0.43  % Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.13/0.43  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.43  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.43  % No SInE strategy applied
% 0.13/0.43  % Search class: FHHNM-FFMM33-SFFFFFNN
% 0.13/0.43  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.43  % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.43  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.13/0.43  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/0.43  % Starting new_bool_3 with 136s (1) cores
% 0.13/0.43  % Starting new_bool_1 with 136s (1) cores
% 0.13/0.43  % G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 116350 completed with status 0
% 0.13/0.43  % Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 0.13/0.43  % Preprocessing class: FSLSSMSMSSSNFFN.
% 0.13/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.13/0.43  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.13/0.43  % No SInE strategy applied
% 0.13/0.43  % Search class: FHHNM-FFMM33-SFFFFFNN
% 0.13/0.43  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.43  % Starting SubtermCWHack with 136s (1) cores
% 0.13/0.43  % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.13/0.43  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 136s (1) cores
% 0.13/0.43  % Preprocessing time       : 0.001 s
% 0.13/0.43  % Presaturation interreduction done
% 0.13/0.43  
% 0.13/0.43  % Proof found!
% 0.13/0.43  % SZS status Theorem
% 0.13/0.43  % SZS output start CNFRefutation
% See solution above
% 0.13/0.43  % Parsed axioms                        : 65
% 0.13/0.43  % Removed by relevancy pruning/SinE    : 0
% 0.13/0.43  % Initial clauses                      : 66
% 0.13/0.43  % Removed in clause preprocessing      : 0
% 0.13/0.43  % Initial clauses in saturation        : 66
% 0.13/0.43  % Processed clauses                    : 193
% 0.13/0.43  % ...of these trivial                  : 6
% 0.13/0.43  % ...subsumed                          : 17
% 0.13/0.43  % ...remaining for further processing  : 170
% 0.13/0.43  % Other redundant clauses eliminated   : 0
% 0.13/0.43  % Clauses deleted for lack of memory   : 0
% 0.13/0.43  % Backward-subsumed                    : 0
% 0.13/0.43  % Backward-rewritten                   : 1
% 0.13/0.43  % Generated clauses                    : 156
% 0.13/0.43  % ...of the previous two non-redundant : 82
% 0.13/0.43  % ...aggressively subsumed             : 0
% 0.13/0.43  % Contextual simplify-reflections      : 0
% 0.13/0.43  % Paramodulations                      : 156
% 0.13/0.43  % Factorizations                       : 0
% 0.13/0.43  % NegExts                              : 0
% 0.13/0.43  % Equation resolutions                 : 0
% 0.13/0.43  % Disequality decompositions           : 0
% 0.13/0.43  % Total rewrite steps                  : 92
% 0.13/0.43  % ...of those cached                   : 68
% 0.13/0.43  % Propositional unsat checks           : 0
% 0.13/0.43  %    Propositional check models        : 0
% 0.13/0.43  %    Propositional check unsatisfiable : 0
% 0.13/0.43  %    Propositional clauses             : 0
% 0.13/0.43  %    Propositional clauses after purity: 0
% 0.13/0.43  %    Propositional unsat core size     : 0
% 0.13/0.43  %    Propositional preprocessing time  : 0.000
% 0.13/0.43  %    Propositional encoding time       : 0.000
% 0.13/0.43  %    Propositional solver time         : 0.000
% 0.13/0.43  %    Success case prop preproc time    : 0.000
% 0.13/0.43  %    Success case prop encoding time   : 0.000
% 0.13/0.43  %    Success case prop solver time     : 0.000
% 0.13/0.43  % Current number of processed clauses  : 111
% 0.13/0.43  %    Positive orientable unit clauses  : 54
% 0.13/0.43  %    Positive unorientable unit clauses: 0
% 0.13/0.43  %    Negative unit clauses             : 1
% 0.13/0.43  %    Non-unit-clauses                  : 56
% 0.13/0.43  % Current number of unprocessed clauses: 11
% 0.13/0.43  % ...number of literals in the above   : 26
% 0.13/0.43  % Current number of archived formulas  : 0
% 0.13/0.43  % Current number of archived clauses   : 59
% 0.13/0.43  % Clause-clause subsumption calls (NU) : 1024
% 0.13/0.43  % Rec. Clause-clause subsumption calls : 881
% 0.13/0.43  % Non-unit clause-clause subsumptions  : 17
% 0.13/0.43  % Unit Clause-clause subsumption calls : 94
% 0.13/0.43  % Rewrite failures with RHS unbound    : 0
% 0.13/0.43  % BW rewrite match attempts            : 1
% 0.13/0.43  % BW rewrite match successes           : 1
% 0.13/0.43  % Condensation attempts                : 0
% 0.13/0.43  % Condensation successes               : 0
% 0.13/0.43  % Termbank termtop insertions          : 5429
% 0.13/0.43  % Search garbage collected termcells   : 595
% 0.13/0.43  
% 0.13/0.43  % -------------------------------------------------
% 0.13/0.43  % User time                : 0.006 s
% 0.13/0.43  % System time              : 0.006 s
% 0.13/0.43  % Total time               : 0.012 s
% 0.13/0.43  % Maximum resident set size: 3700 pages
% 0.13/0.43  
% 0.13/0.43  % -------------------------------------------------
% 0.13/0.43  % User time                : 0.015 s
% 0.13/0.43  % System time              : 0.017 s
% 0.13/0.43  % Total time               : 0.032 s
% 0.13/0.43  % Maximum resident set size: 4864 pages
% 0.13/0.43  % E exiting
%------------------------------------------------------------------------------