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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR027+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 0.36s 0.61s
% Output   : CNFRefutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (   9 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   58 (  25   ~;  20   |;   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   :   30 (   0 sgn  17   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query127,conjecture,
    ? [X15] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => ( tptpcol_16_31868(X15)
        & tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X15) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query127) ).

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

fof(ax2_7347,axiom,
    ! [X15] :
      ( isa(X15,c_tptpcol_16_31868)
     => tptpcol_16_31868(X15) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7347) ).

fof(ax2_406,axiom,
    ! [X7] :
      ( ( isa(X7,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent))
        & mtvisible(c_tptp_member2610_mt) )
     => tptp_8_875(X7,f_relationallexistsfn(X7,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+2.ax',ax2_406) ).

fof(ax2_1808,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1808) ).

fof(ax2_407,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+2.ax',ax2_407) ).

fof(ax2_1377,axiom,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1377) ).

fof(ax2_2981,axiom,
    ! [X7,X8,X9,X10] :
      ( ( relationallexists(X9,X8,X10)
        & isa(X7,X8) )
     => isa(f_relationallexistsfn(X7,X9,X8,X10),X10) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2981) ).

fof(c_0_8,negated_conjecture,
    ~ ? [X15] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => ( tptpcol_16_31868(X15)
          & tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X15) ) ),
    inference(assume_negation,[status(cth)],[query127]) ).

fof(c_0_9,plain,
    ! [X32,X33] :
      ( mtvisible(X33)
      | ~ genlmt(X32,X33)
      | ~ mtvisible(X32) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7997])])]) ).

fof(c_0_10,negated_conjecture,
    ! [X23] :
      ( ( ~ tptpcol_16_31868(X23)
        | ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X23) )
      & 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,
    ! [X24] :
      ( tptpcol_16_31868(X24)
      | ~ isa(X24,c_tptpcol_16_31868) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_7347])])]) ).

fof(c_0_12,plain,
    ! [X26] :
      ( tptp_8_875(X26,f_relationallexistsfn(X26,c_tptp_8_875,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent),c_tptpcol_16_31868))
      | ~ isa(X26,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)],[ax2_406])])]) ).

cnf(c_0_13,plain,
    ( ~ genlmt(X1,X2)
    | ~ mtvisible(X1)
    | mtvisible(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2610_mt),
    inference(split_conjunct,[status(thm)],[ax2_1808]) ).

cnf(c_0_15,negated_conjecture,
    mtvisible(c_tptp_spindlecollectormt),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,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_17,plain,
    ( ~ isa(X1,c_tptpcol_16_31868)
    | tptpcol_16_31868(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,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_12]) ).

cnf(c_0_19,plain,
    mtvisible(c_tptp_member2610_mt),
    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_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)],[ax2_407])]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ isa(X1,c_tptpcol_16_31868)
    | ~ tptp_8_875(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,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_18,c_0_19])]) ).

cnf(c_0_23,plain,
    isa(c_tptpnsubcollectionofwithrelationfromtypefnunitvectorintervaldirectionoftranslation_throughoutmovement_translationevent_786,f_subcollectionofwithrelationfromtypefn(c_unitvectorinterval,c_directionoftranslation_throughout,c_movement_translationevent)),
    inference(split_conjunct,[status(thm)],[ax2_1377]) ).

fof(c_0_24,plain,
    ! [X34,X35,X36,X37] :
      ( isa(f_relationallexistsfn(X34,X36,X35,X37),X37)
      | ~ relationallexists(X36,X35,X37)
      | ~ isa(X34,X35) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax2_2981])])]) ).

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_20]) ).

cnf(c_0_26,negated_conjecture,
    ~ isa(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),c_tptpcol_16_31868),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

cnf(c_0_27,plain,
    ( ~ relationallexists(X3,X2,X4)
    | ~ isa(X1,X2)
    | isa(f_relationallexistsfn(X1,X3,X2,X4),X4) ),
    inference(split_conjunct,[status(thm)],[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_19])]) ).

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_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR027+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n006.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 14:24:42 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.40  Running first-order theorem proving
% 0.15/0.40  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
% 0.36/0.61  % Version: 3.5.1
% 0.36/0.61  % Preprocessing class: FMLLMMSLSSSNFFN.
% 0.36/0.61  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.61  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 1500s (5) cores
% 0.36/0.61  % Starting new_bool_3 with 300s (1) cores
% 0.36/0.61  % Starting new_bool_1 with 300s (1) cores
% 0.36/0.61  % Starting sh5l with 300s (1) cores
% 0.36/0.61  % new_bool_3 with pid 3072331 completed with status 0
% 0.36/0.61  % Result found by new_bool_3
% 0.36/0.61  % Preprocessing class: FMLLMMSLSSSNFFN.
% 0.36/0.61  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.61  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 1500s (5) cores
% 0.36/0.61  % Starting new_bool_3 with 300s (1) cores
% 0.36/0.61  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.36/0.61  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.61  % Search class: FHHNM-FFMM32-SFFFFFNN
% 0.36/0.61  % partial match(1): FHHNM-FFMM33-SFFFFFNN
% 0.36/0.61  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.61  % Starting SubtermCWHack with 31s (1) cores
% 0.36/0.61  % SubtermCWHack with pid 3072334 completed with status 0
% 0.36/0.61  % Result found by SubtermCWHack
% 0.36/0.61  % Preprocessing class: FMLLMMSLSSSNFFN.
% 0.36/0.61  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.36/0.61  % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 1500s (5) cores
% 0.36/0.61  % Starting new_bool_3 with 300s (1) cores
% 0.36/0.61  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.36/0.61  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.36/0.61  % Search class: FHHNM-FFMM32-SFFFFFNN
% 0.36/0.61  % partial match(1): FHHNM-FFMM33-SFFFFFNN
% 0.36/0.61  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.36/0.61  % Starting SubtermCWHack with 31s (1) cores
% 0.36/0.61  % Preprocessing time       : 0.007 s
% 0.36/0.61  
% 0.36/0.61  % Proof found!
% 0.36/0.61  % SZS status Theorem
% 0.36/0.61  % SZS output start CNFRefutation
% See solution above
% 0.36/0.62  % Parsed axioms                        : 8006
% 0.36/0.62  % Removed by relevancy pruning/SinE    : 7922
% 0.36/0.62  % Initial clauses                      : 85
% 0.36/0.62  % Removed in clause preprocessing      : 0
% 0.36/0.62  % Initial clauses in saturation        : 85
% 0.36/0.62  % Processed clauses                    : 104
% 0.36/0.62  % ...of these trivial                  : 6
% 0.36/0.62  % ...subsumed                          : 20
% 0.36/0.62  % ...remaining for further processing  : 78
% 0.36/0.62  % Other redundant clauses eliminated   : 0
% 0.36/0.62  % Clauses deleted for lack of memory   : 0
% 0.36/0.62  % Backward-subsumed                    : 0
% 0.36/0.62  % Backward-rewritten                   : 0
% 0.36/0.62  % Generated clauses                    : 38
% 0.36/0.62  % ...of the previous two non-redundant : 21
% 0.36/0.62  % ...aggressively subsumed             : 0
% 0.36/0.62  % Contextual simplify-reflections      : 0
% 0.36/0.62  % Paramodulations                      : 38
% 0.36/0.62  % Factorizations                       : 0
% 0.36/0.62  % NegExts                              : 0
% 0.36/0.62  % Equation resolutions                 : 0
% 0.36/0.62  % Disequality decompositions           : 0
% 0.36/0.62  % Total rewrite steps                  : 22
% 0.36/0.62  % ...of those cached                   : 9
% 0.36/0.62  % Propositional unsat checks           : 0
% 0.36/0.62  %    Propositional check models        : 0
% 0.36/0.62  %    Propositional check unsatisfiable : 0
% 0.36/0.62  %    Propositional clauses             : 0
% 0.36/0.62  %    Propositional clauses after purity: 0
% 0.36/0.62  %    Propositional unsat core size     : 0
% 0.36/0.62  %    Propositional preprocessing time  : 0.000
% 0.36/0.62  %    Propositional encoding time       : 0.000
% 0.36/0.62  %    Propositional solver time         : 0.000
% 0.36/0.62  %    Success case prop preproc time    : 0.000
% 0.36/0.62  %    Success case prop encoding time   : 0.000
% 0.36/0.62  %    Success case prop solver time     : 0.000
% 0.36/0.62  % Current number of processed clauses  : 78
% 0.36/0.62  %    Positive orientable unit clauses  : 31
% 0.36/0.62  %    Positive unorientable unit clauses: 0
% 0.36/0.62  %    Negative unit clauses             : 1
% 0.36/0.62  %    Non-unit-clauses                  : 46
% 0.36/0.62  % Current number of unprocessed clauses: 2
% 0.36/0.62  % ...number of literals in the above   : 5
% 0.36/0.62  % Current number of archived formulas  : 0
% 0.36/0.62  % Current number of archived clauses   : 0
% 0.36/0.62  % Clause-clause subsumption calls (NU) : 494
% 0.36/0.62  % Rec. Clause-clause subsumption calls : 447
% 0.36/0.62  % Non-unit clause-clause subsumptions  : 20
% 0.36/0.62  % Unit Clause-clause subsumption calls : 17
% 0.36/0.62  % Rewrite failures with RHS unbound    : 0
% 0.36/0.62  % BW rewrite match attempts            : 0
% 0.36/0.62  % BW rewrite match successes           : 0
% 0.36/0.62  % Condensation attempts                : 0
% 0.36/0.62  % Condensation successes               : 0
% 0.36/0.62  % Termbank termtop insertions          : 55292
% 0.36/0.62  % Search garbage collected termcells   : 31200
% 0.36/0.62  
% 0.36/0.62  % -------------------------------------------------
% 0.36/0.62  % User time                : 0.040 s
% 0.36/0.62  % System time              : 0.034 s
% 0.36/0.62  % Total time               : 0.074 s
% 0.36/0.62  % Maximum resident set size: 20084 pages
% 0.36/0.62  
% 0.36/0.62  % -------------------------------------------------
% 0.36/0.62  % User time                : 0.153 s
% 0.36/0.62  % System time              : 0.049 s
% 0.36/0.62  % Total time               : 0.202 s
% 0.36/0.62  % Maximum resident set size: 11008 pages
% 0.36/0.62  % E exiting
%------------------------------------------------------------------------------