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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR027+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n015.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 12:15:57 PM UTC 2026

% Result   : Theorem 0.17s 15.24s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (   9 unt;   0 def)
%            Number of atoms       :   64 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   59 (  25   ~;  21   |;   6   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-4 aty)
%            Number of variables   :   32 (   0 sgn  17   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query227,conjecture,
    ? [X23] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => ( tptpcol_16_31868(X23)
        & tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X23) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query227) ).

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

fof(ax4_158877,axiom,
    ! [X6] :
      ( ( isa(X6,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
        & mtvisible(c_tptp_member2610_mt) )
     => tptp_8_875(X6,f_relationallexistsfn(X6,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+4.ax',ax4_158877) ).

fof(ax4_36634,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+4.ax',ax4_36634) ).

fof(ax4_397036,axiom,
    ! [X23] :
      ( isa(X23,c_tptpcol_16_31868)
     => tptpcol_16_31868(X23) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+4.ax',ax4_397036) ).

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/sandbox/benchmark/Axioms/CSR002+4.ax',ax4_8894) ).

fof(ax4_158878,axiom,
    ( mtvisible(c_tptp_member2610_mt)
   => relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+4.ax',ax4_158878) ).

fof(ax4_166394,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+4.ax',ax4_166394) ).

fof(c_0_8,negated_conjecture,
    ~ ? [X23] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => ( tptpcol_16_31868(X23)
          & tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X23) ) ),
    inference(assume_negation,[status(cth)],[query227]) ).

fof(c_0_9,plain,
    ! [X100,X101] :
      ( mtvisible(X101)
      | ~ genlmt(X100,X101)
      | ~ mtvisible(X100) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_540220])])]) ).

fof(c_0_10,negated_conjecture,
    ! [X30] :
      ( ( ~ tptpcol_16_31868(X30)
        | ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X30) )
      & mtvisible(c_tptp_spindlecollectormt) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

fof(c_0_11,plain,
    ! [X33] :
      ( tptp_8_875(X33,f_relationallexistsfn(X33,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
      | ~ isa(X33,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
      | ~ mtvisible(c_tptp_member2610_mt) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_158877])])]) ).

cnf(c_0_12,plain,
    ( ~ genlmt(X1,X2)
    | ~ mtvisible(X1)
    | mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    inference(split_conjunct,[status(thm)],[ax4_36634]) ).

cnf(c_0_14,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,plain,
    ( ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
    | ~ mtvisible(c_tptp_member2610_mt)
    | tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    mtvisible(c_tptp_member2610_mt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

fof(c_0_17,plain,
    ! [X31] :
      ( tptpcol_16_31868(X31)
      | ~ isa(X31,c_tptpcol_16_31868) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_397036])])]) ).

fof(c_0_18,plain,
    ! [X41,X42,X43,X44] :
      ( isa(f_relationallexistsfn(X41,X43,X42,X44),X44)
      | ~ relationallexists(X43,X42,X44)
      | ~ isa(X41,X42) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_8894])])]) ).

fof(c_0_19,plain,
    ( relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)
    | ~ mtvisible(c_tptp_member2610_mt) ),
    inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_158878])]) ).

cnf(c_0_20,negated_conjecture,
    ( ~ tptpcol_16_31868(X1)
    | ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_21,plain,
    ( ~ isa(X1,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
    | tptp_8_875(X1,f_relationallexistsfn(X1,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).

cnf(c_0_22,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(split_conjunct,[status(thm)],[ax4_166394]) ).

cnf(c_0_23,plain,
    ( ~ isa(X1,c_tptpcol_16_31868)
    | tptpcol_16_31868(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_24,plain,
    ( ~ relationallexists(X3,X2,X4)
    | ~ isa(X1,X2)
    | isa(f_relationallexistsfn(X1,X3,X2,X4),X4) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    ( ~ mtvisible(c_tptp_member2610_mt)
    | relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    ~ tptpcol_16_31868(f_relationallexistsfn(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

cnf(c_0_27,plain,
    ( ~ isa(X1,X3)
    | ~ relationallexists(X2,X3,c_tptpcol_16_31868)
    | tptpcol_16_31868(f_relationallexistsfn(X1,X2,X3,c_tptpcol_16_31868)) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_28,plain,
    relationallexists(c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_16])]) ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),c_0_22])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR027+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n015.cluster.edu
% 0.09/0.36  % Model    : x86_64 x86_64
% 0.09/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36  % Memory   : 8046.5625MB
% 0.09/0.36  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 14:28:06 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41  Running first-order theorem proving
% 0.13/0.41  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.17/15.24  % Version: 3.5.1
% 0.17/15.24  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.17/15.24  % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 0.17/15.24  % Starting new_ho_10 with 590s (2) cores
% 0.17/15.24  % Starting sh3 with 590s (2) cores
% 0.17/15.24  % Starting ho_unfolding_3 with 590s (2) cores
% 0.17/15.24  % Starting new_ho_10_cnf2 with 590s (2) cores
% 0.17/15.24  % new_ho_10 with pid 1696887 completed with status 0
% 0.17/15.24  % Result found by new_ho_10
% 0.17/15.24  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.17/15.24  % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 0.17/15.24  % Starting new_ho_10 with 590s (2) cores
% 0.17/15.24  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/15.24  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.17/15.24  % Search class: FHHSM-SSLM31-MFFFFFNN
% 0.17/15.24  % partial match(1): FHHNM-SSLM31-MFFFFFNN
% 0.17/15.24  % Scheduled 7 strats onto 2 cores with 586 seconds (586 total)
% 0.17/15.24  % Starting SubtermCWHack with 53s (1) cores
% 0.17/15.24  % Starting new_ho_10 with 59s (1) cores
% 0.17/15.24  % new_ho_10 with pid 1696896 completed with status 0
% 0.17/15.24  % Result found by new_ho_10
% 0.17/15.24  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.17/15.24  % Scheduled 4 strats onto 8 cores with 295 seconds (2360 total)
% 0.17/15.24  % Starting new_ho_10 with 590s (2) cores
% 0.17/15.24  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.17/15.24  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.17/15.24  % Search class: FHHSM-SSLM31-MFFFFFNN
% 0.17/15.24  % partial match(1): FHHNM-SSLM31-MFFFFFNN
% 0.17/15.24  % Scheduled 7 strats onto 2 cores with 586 seconds (586 total)
% 0.17/15.24  % Starting SubtermCWHack with 53s (1) cores
% 0.17/15.24  % Starting new_ho_10 with 59s (1) cores
% 0.17/15.24  % Preprocessing time       : 0.449 s
% 0.17/15.24  % Presaturation interreduction done
% 0.17/15.24  
% 0.17/15.24  % Proof found!
% 0.17/15.24  % SZS status Theorem
% 0.17/15.24  % SZS output start CNFRefutation
% See solution above
% 0.17/15.24  % Parsed axioms                        : 540250
% 0.17/15.24  % Removed by relevancy pruning/SinE    : 538835
% 0.17/15.24  % Initial clauses                      : 1416
% 0.17/15.24  % Removed in clause preprocessing      : 2
% 0.17/15.24  % Initial clauses in saturation        : 1414
% 0.17/15.24  % Processed clauses                    : 6044
% 0.17/15.24  % ...of these trivial                  : 89
% 0.17/15.24  % ...subsumed                          : 328
% 0.17/15.24  % ...remaining for further processing  : 5627
% 0.17/15.24  % Other redundant clauses eliminated   : 1
% 0.17/15.24  % Clauses deleted for lack of memory   : 0
% 0.17/15.24  % Backward-subsumed                    : 21
% 0.17/15.24  % Backward-rewritten                   : 81
% 0.17/15.24  % Generated clauses                    : 36018
% 0.17/15.24  % ...of the previous two non-redundant : 34073
% 0.17/15.24  % ...aggressively subsumed             : 0
% 0.17/15.24  % Contextual simplify-reflections      : 2
% 0.17/15.24  % Paramodulations                      : 36017
% 0.17/15.24  % Factorizations                       : 0
% 0.17/15.24  % NegExts                              : 0
% 0.17/15.24  % Equation resolutions                 : 1
% 0.17/15.24  % Disequality decompositions           : 0
% 0.17/15.24  % Total rewrite steps                  : 2073
% 0.17/15.24  % ...of those cached                   : 1640
% 0.17/15.24  % Propositional unsat checks           : 0
% 0.17/15.24  %    Propositional check models        : 0
% 0.17/15.24  %    Propositional check unsatisfiable : 0
% 0.17/15.24  %    Propositional clauses             : 0
% 0.17/15.24  %    Propositional clauses after purity: 0
% 0.17/15.24  %    Propositional unsat core size     : 0
% 0.17/15.24  %    Propositional preprocessing time  : 0.000
% 0.17/15.24  %    Propositional encoding time       : 0.000
% 0.17/15.24  %    Propositional solver time         : 0.000
% 0.17/15.24  %    Success case prop preproc time    : 0.000
% 0.17/15.24  %    Success case prop encoding time   : 0.000
% 0.17/15.24  %    Success case prop solver time     : 0.000
% 0.17/15.24  % Current number of processed clauses  : 4285
% 0.17/15.24  %    Positive orientable unit clauses  : 1003
% 0.17/15.24  %    Positive unorientable unit clauses: 0
% 0.17/15.24  %    Negative unit clauses             : 51
% 0.17/15.24  %    Non-unit-clauses                  : 3231
% 0.17/15.24  % Current number of unprocessed clauses: 30608
% 0.17/15.24  % ...number of literals in the above   : 84462
% 0.17/15.24  % Current number of archived formulas  : 0
% 0.17/15.24  % Current number of archived clauses   : 1341
% 0.17/15.24  % Clause-clause subsumption calls (NU) : 1149667
% 0.17/15.24  % Rec. Clause-clause subsumption calls : 863239
% 0.17/15.24  % Non-unit clause-clause subsumptions  : 330
% 0.17/15.24  % Unit Clause-clause subsumption calls : 29686
% 0.17/15.24  % Rewrite failures with RHS unbound    : 0
% 0.17/15.24  % BW rewrite match attempts            : 99
% 0.17/15.24  % BW rewrite match successes           : 80
% 0.17/15.24  % Condensation attempts                : 6051
% 0.17/15.24  % Condensation successes               : 0
% 0.17/15.24  % Termbank termtop insertions          : 4076602
% 0.17/15.24  % Search garbage collected termcells   : 2173175
% 0.17/15.24  
% 0.17/15.24  % -------------------------------------------------
% 0.17/15.24  % User time                : 5.474 s
% 0.17/15.24  % System time              : 2.185 s
% 0.17/15.24  % Total time               : 7.658 s
% 0.17/15.24  % Maximum resident set size: 1241888 pages
% 0.17/15.24  
% 0.17/15.24  % -------------------------------------------------
% 0.17/15.24  % User time                : 13.621 s
% 0.17/15.24  % System time              : 3.506 s
% 0.17/15.24  % Total time               : 17.127 s
% 0.17/15.24  % Maximum resident set size: 456960 pages
% 0.17/15.24  % E exiting
%------------------------------------------------------------------------------