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E---3.5.1.CAX-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR061+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 12:16:23 PM UTC 2026

% Result   : ContradictoryAxioms 0.15s 136.19s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   7 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   13 (   7   ~;   4   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   12 (   2 sgn   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax5_1518354,axiom,
    ! [X2,X3] :
      ( natfunction(X2,X3)
     => reifiablefunction(X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+5.ax',ax5_1518354) ).

fof(ax5_3337714,axiom,
    ! [X2] : natfunction(f_intervalstartedbyfn(X2),c_intervalstartedbyfn),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+5.ax',ax5_3337714) ).

fof(ax5_1083425,axiom,
    ! [X1] :
      ~ ( unreifiablefunction(X1)
        & reifiablefunction(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+5.ax',ax5_1083425) ).

fof(ax5_1272299,axiom,
    unreifiablefunction(c_intervalstartedbyfn),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+5.ax',ax5_1272299) ).

fof(c_0_4,plain,
    ! [X829,X830] :
      ( reifiablefunction(X830)
      | ~ natfunction(X829,X830) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5_1518354])])]) ).

fof(c_0_5,plain,
    ! [X281] : natfunction(f_intervalstartedbyfn(X281),c_intervalstartedbyfn),
    inference(variable_rename,[status(thm)],[ax5_3337714]) ).

fof(c_0_6,plain,
    ! [X1256] :
      ( ~ unreifiablefunction(X1256)
      | ~ reifiablefunction(X1256) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5_1083425])])]) ).

cnf(c_0_7,plain,
    ( ~ natfunction(X1,X2)
    | reifiablefunction(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    natfunction(f_intervalstartedbyfn(X1),c_intervalstartedbyfn),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( ~ unreifiablefunction(X1)
    | ~ reifiablefunction(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    reifiablefunction(c_intervalstartedbyfn),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_11,plain,
    unreifiablefunction(c_intervalstartedbyfn),
    inference(split_conjunct,[status(thm)],[ax5_1272299]) ).

cnf(c_0_12,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR061+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36  % Computer : n013.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 14:40:06 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41  Running first-order theorem proving
% 0.09/0.41  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
% 0.15/136.19  % Version: 3.5.1
% 0.15/136.19  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.15/136.19  % Scheduled 4 strats onto 8 cores with 201 seconds (1608 total)
% 0.15/136.19  % Starting new_ho_10 with 402s (2) cores
% 0.15/136.19  % Starting sh3 with 402s (2) cores
% 0.15/136.19  % Starting ho_unfolding_3 with 402s (2) cores
% 0.15/136.19  % Starting new_ho_10_cnf2 with 402s (2) cores
% 0.15/136.19  % new_ho_10_cnf2 with pid 1009568 completed with status 0
% 0.15/136.19  % Result found by new_ho_10_cnf2
% 0.15/136.19  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.15/136.19  % Scheduled 4 strats onto 8 cores with 201 seconds (1608 total)
% 0.15/136.19  % Starting new_ho_10 with 402s (2) cores
% 0.15/136.19  % Starting sh3 with 402s (2) cores
% 0.15/136.19  % Starting ho_unfolding_3 with 402s (2) cores
% 0.15/136.19  % Starting new_ho_10_cnf2 with 402s (2) cores
% 0.15/136.19  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/136.19  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.15/136.19  % Search class: FHHSM-SMLM31-MFFFFFNN
% 0.15/136.19  % Scheduled 7 strats onto 2 cores with 385 seconds (385 total)
% 0.15/136.19  % Starting SubtermCWHack with 35s (1) cores
% 0.15/136.19  % Starting new_ho_10_cnf2 with 39s (1) cores
% 0.15/136.19  % new_ho_10_cnf2 with pid 1009723 completed with status 0
% 0.15/136.19  % Result found by new_ho_10_cnf2
% 0.15/136.19  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.15/136.19  % Scheduled 4 strats onto 8 cores with 201 seconds (1608 total)
% 0.15/136.19  % Starting new_ho_10 with 402s (2) cores
% 0.15/136.19  % Starting sh3 with 402s (2) cores
% 0.15/136.19  % Starting ho_unfolding_3 with 402s (2) cores
% 0.15/136.19  % Starting new_ho_10_cnf2 with 402s (2) cores
% 0.15/136.19  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.15/136.19  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.15/136.19  % Search class: FHHSM-SMLM31-MFFFFFNN
% 0.15/136.19  % Scheduled 7 strats onto 2 cores with 385 seconds (385 total)
% 0.15/136.19  % Starting SubtermCWHack with 35s (1) cores
% 0.15/136.19  % Starting new_ho_10_cnf2 with 39s (1) cores
% 0.15/136.19  % Preprocessing time       : 2.233 s
% 0.15/136.19  % Presaturation interreduction done
% 0.15/136.19  
% 0.15/136.19  % Proof found!
% 0.15/136.19  % SZS status ContradictoryAxioms
% 0.15/136.19  % SZS output start CNFRefutation
% See solution above
% 0.15/136.19  % Parsed axioms                        : 3341978
% 0.15/136.19  % Removed by relevancy pruning/SinE    : 3321977
% 0.15/136.19  % Initial clauses                      : 20002
% 0.15/136.19  % Removed in clause preprocessing      : 2
% 0.15/136.19  % Initial clauses in saturation        : 20000
% 0.15/136.19  % Processed clauses                    : 32641
% 0.15/136.19  % ...of these trivial                  : 2881
% 0.15/136.19  % ...subsumed                          : 438
% 0.15/136.19  % ...remaining for further processing  : 29322
% 0.15/136.19  % Other redundant clauses eliminated   : 1
% 0.15/136.19  % Clauses deleted for lack of memory   : 0
% 0.15/136.19  % Backward-subsumed                    : 3
% 0.15/136.19  % Backward-rewritten                   : 787
% 0.15/136.19  % Generated clauses                    : 10783
% 0.15/136.19  % ...of the previous two non-redundant : 8264
% 0.15/136.19  % ...aggressively subsumed             : 0
% 0.15/136.19  % Contextual simplify-reflections      : 0
% 0.15/136.19  % Paramodulations                      : 10782
% 0.15/136.19  % Factorizations                       : 0
% 0.15/136.19  % NegExts                              : 0
% 0.15/136.19  % Equation resolutions                 : 1
% 0.15/136.19  % Disequality decompositions           : 0
% 0.15/136.19  % Total rewrite steps                  : 6094
% 0.15/136.19  % ...of those cached                   : 3129
% 0.15/136.19  % Propositional unsat checks           : 0
% 0.15/136.19  %    Propositional check models        : 0
% 0.15/136.19  %    Propositional check unsatisfiable : 0
% 0.15/136.19  %    Propositional clauses             : 0
% 0.15/136.19  %    Propositional clauses after purity: 0
% 0.15/136.19  %    Propositional unsat core size     : 0
% 0.15/136.19  %    Propositional preprocessing time  : 0.000
% 0.15/136.19  %    Propositional encoding time       : 0.000
% 0.15/136.19  %    Propositional solver time         : 0.000
% 0.15/136.19  %    Success case prop preproc time    : 0.000
% 0.15/136.19  %    Success case prop encoding time   : 0.000
% 0.15/136.19  %    Success case prop solver time     : 0.000
% 0.15/136.19  % Current number of processed clauses  : 11017
% 0.15/136.19  %    Positive orientable unit clauses  : 6072
% 0.15/136.19  %    Positive unorientable unit clauses: 0
% 0.15/136.19  %    Negative unit clauses             : 1708
% 0.15/136.19  %    Non-unit-clauses                  : 3237
% 0.15/136.19  % Current number of unprocessed clauses: 13137
% 0.15/136.19  % ...number of literals in the above   : 20168
% 0.15/136.19  % Current number of archived formulas  : 0
% 0.15/136.19  % Current number of archived clauses   : 18304
% 0.15/136.19  % Clause-clause subsumption calls (NU) : 3447297
% 0.15/136.19  % Rec. Clause-clause subsumption calls : 2989431
% 0.15/136.19  % Non-unit clause-clause subsumptions  : 254
% 0.15/136.19  % Unit Clause-clause subsumption calls : 2988855
% 0.15/136.19  % Rewrite failures with RHS unbound    : 0
% 0.15/136.19  % BW rewrite match attempts            : 33741
% 0.15/136.19  % BW rewrite match successes           : 782
% 0.15/136.19  % Condensation attempts                : 32649
% 0.15/136.19  % Condensation successes               : 0
% 0.15/136.19  % Termbank termtop insertions          : 22755673
% 0.15/136.19  % Search garbage collected termcells   : 10472532
% 0.15/136.19  
% 0.15/136.19  % -------------------------------------------------
% 0.15/136.19  % User time                : 25.101 s
% 0.15/136.19  % System time              : 5.968 s
% 0.15/136.19  % Total time               : 31.069 s
% 0.15/136.19  % Maximum resident set size: 5021684 pages
% 0.15/136.19  
% 0.15/136.19  % -------------------------------------------------
% 0.15/136.19  % User time                : 131.680 s
% 0.15/136.19  % System time              : 13.745 s
% 0.15/136.19  % Total time               : 145.426 s
% 0.15/136.19  % Maximum resident set size: 2273280 pages
% 0.15/136.19  % E exiting
%------------------------------------------------------------------------------