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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR031+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 12:16:00 PM UTC 2026

% Result   : Theorem 0.06s 95.49s
% Output   : CNFRefutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   17 (  11   ~;   4   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    9 (   1 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query281,conjecture,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query281) ).

fof(ax5_1365323,axiom,
    ! [X1] :
      ~ ( individual(X1)
        & collection(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+5.ax',ax5_1365323) ).

fof(ax5_2620972,axiom,
    ! [X2,X3] :
      ( disjointwith(X2,X3)
     => collection(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+5.ax',ax5_2620972) ).

fof(ax5_2847953,axiom,
    individual(c_tptptptpcol_16_8398),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+5.ax',ax5_2847953) ).

fof(c_0_4,negated_conjecture,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(assume_negation,[status(cth)],[query281]) ).

fof(c_0_5,plain,
    ! [X89] :
      ( ~ individual(X89)
      | ~ collection(X89) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5_1365323])])]) ).

fof(c_0_6,plain,
    ! [X41,X42] :
      ( collection(X41)
      | ~ disjointwith(X41,X42) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5_2620972])])]) ).

fof(c_0_7,negated_conjecture,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( ~ individual(X1)
    | ~ collection(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    individual(c_tptptptpcol_16_8398),
    inference(split_conjunct,[status(thm)],[ax5_2847953]) ).

cnf(c_0_10,plain,
    ( ~ disjointwith(X1,X2)
    | collection(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ~ collection(c_tptptptpcol_16_8398),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : CSR031+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.02  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.30  % Computer : n012.cluster.edu
% 0.03/0.30  % Model    : x86_64 x86_64
% 0.03/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30  % Memory   : 8046.5625MB
% 0.03/0.30  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Mon Sep 21 14:26:37 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.03/0.30  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.32  Running first-order theorem proving
% 0.03/0.32  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
% 0.06/95.49  % Version: 3.5.1
% 0.06/95.49  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.06/95.49  % Scheduled 4 strats onto 8 cores with 225 seconds (1800 total)
% 0.06/95.49  % Starting new_ho_10 with 450s (2) cores
% 0.06/95.49  % Starting sh3 with 450s (2) cores
% 0.06/95.49  % Starting ho_unfolding_3 with 450s (2) cores
% 0.06/95.49  % Starting new_ho_10_cnf2 with 450s (2) cores
% 0.06/95.49  % ho_unfolding_3 with pid 2567697 completed with status 0
% 0.06/95.49  % Result found by ho_unfolding_3
% 0.06/95.49  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.06/95.49  % Scheduled 4 strats onto 8 cores with 225 seconds (1800 total)
% 0.06/95.49  % Starting new_ho_10 with 450s (2) cores
% 0.06/95.49  % Starting sh3 with 450s (2) cores
% 0.06/95.49  % Starting ho_unfolding_3 with 450s (2) cores
% 0.06/95.49  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.06/95.49  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.06/95.49  % Search class: FHHSM-SMLM31-MFFFFFNN
% 0.06/95.49  % Scheduled 7 strats onto 2 cores with 435 seconds (435 total)
% 0.06/95.49  % Starting SubtermCWHack with 40s (1) cores
% 0.06/95.49  % Starting ho_unfolding_3 with 44s (1) cores
% 0.06/95.49  % SubtermCWHack with pid 2568011 completed with status 0
% 0.06/95.49  % Result found by SubtermCWHack
% 0.06/95.49  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.06/95.49  % Scheduled 4 strats onto 8 cores with 225 seconds (1800 total)
% 0.06/95.49  % Starting new_ho_10 with 450s (2) cores
% 0.06/95.49  % Starting sh3 with 450s (2) cores
% 0.06/95.49  % Starting ho_unfolding_3 with 450s (2) cores
% 0.06/95.49  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.06/95.49  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.06/95.49  % Search class: FHHSM-SMLM31-MFFFFFNN
% 0.06/95.49  % Scheduled 7 strats onto 2 cores with 435 seconds (435 total)
% 0.06/95.49  % Starting SubtermCWHack with 40s (1) cores
% 0.06/95.49  % Preprocessing time       : 1.191 s
% 0.06/95.49  
% 0.06/95.49  % Proof found!
% 0.06/95.49  % SZS status Theorem
% 0.06/95.49  % SZS output start CNFRefutation
% See solution above
% 0.06/95.49  % Parsed axioms                        : 3341978
% 0.06/95.49  % Removed by relevancy pruning/SinE    : 3330215
% 0.06/95.49  % Initial clauses                      : 11763
% 0.06/95.49  % Removed in clause preprocessing      : 2
% 0.06/95.49  % Initial clauses in saturation        : 11761
% 0.06/95.49  % Processed clauses                    : 8495
% 0.06/95.49  % ...of these trivial                  : 678
% 0.06/95.49  % ...subsumed                          : 61
% 0.06/95.49  % ...remaining for further processing  : 7756
% 0.06/95.49  % Other redundant clauses eliminated   : 1
% 0.06/95.49  % Clauses deleted for lack of memory   : 0
% 0.06/95.49  % Backward-subsumed                    : 1
% 0.06/95.49  % Backward-rewritten                   : 603
% 0.06/95.49  % Generated clauses                    : 7125
% 0.06/95.49  % ...of the previous two non-redundant : 4725
% 0.06/95.49  % ...aggressively subsumed             : 0
% 0.06/95.49  % Contextual simplify-reflections      : 0
% 0.06/95.49  % Paramodulations                      : 7124
% 0.06/95.49  % Factorizations                       : 0
% 0.06/95.49  % NegExts                              : 0
% 0.06/95.49  % Equation resolutions                 : 1
% 0.06/95.49  % Disequality decompositions           : 0
% 0.06/95.49  % Total rewrite steps                  : 3600
% 0.06/95.49  % ...of those cached                   : 2160
% 0.06/95.49  % Propositional unsat checks           : 0
% 0.06/95.49  %    Propositional check models        : 0
% 0.06/95.49  %    Propositional check unsatisfiable : 0
% 0.06/95.49  %    Propositional clauses             : 0
% 0.06/95.49  %    Propositional clauses after purity: 0
% 0.06/95.49  %    Propositional unsat core size     : 0
% 0.06/95.49  %    Propositional preprocessing time  : 0.000
% 0.06/95.49  %    Propositional encoding time       : 0.000
% 0.06/95.49  %    Propositional solver time         : 0.000
% 0.06/95.49  %    Success case prop preproc time    : 0.000
% 0.06/95.49  %    Success case prop encoding time   : 0.000
% 0.06/95.49  %    Success case prop solver time     : 0.000
% 0.06/95.49  % Current number of processed clauses  : 7151
% 0.06/95.49  %    Positive orientable unit clauses  : 5447
% 0.06/95.49  %    Positive unorientable unit clauses: 0
% 0.06/95.49  %    Negative unit clauses             : 858
% 0.06/95.49  %    Non-unit-clauses                  : 846
% 0.06/95.49  % Current number of unprocessed clauses: 7901
% 0.06/95.49  % ...number of literals in the above   : 10498
% 0.06/95.49  % Current number of archived formulas  : 0
% 0.06/95.49  % Current number of archived clauses   : 604
% 0.06/95.49  % Clause-clause subsumption calls (NU) : 26840
% 0.06/95.49  % Rec. Clause-clause subsumption calls : 25295
% 0.06/95.49  % Non-unit clause-clause subsumptions  : 59
% 0.06/95.49  % Unit Clause-clause subsumption calls : 404617
% 0.06/95.49  % Rewrite failures with RHS unbound    : 0
% 0.06/95.49  % BW rewrite match attempts            : 3883
% 0.06/95.49  % BW rewrite match successes           : 604
% 0.06/95.49  % Condensation attempts                : 0
% 0.06/95.49  % Condensation successes               : 0
% 0.06/95.49  % Termbank termtop insertions          : 22420027
% 0.06/95.49  % Search garbage collected termcells   : 10482995
% 0.06/95.49  
% 0.06/95.49  % -------------------------------------------------
% 0.06/95.49  % User time                : 14.196 s
% 0.06/95.49  % System time              : 4.182 s
% 0.06/95.49  % Total time               : 18.378 s
% 0.06/95.49  % Maximum resident set size: 5019588 pages
% 0.06/95.49  
% 0.06/95.49  % -------------------------------------------------
% 0.06/95.49  % User time                : 88.761 s
% 0.06/95.49  % System time              : 8.160 s
% 0.06/95.49  % Total time               : 96.921 s
% 0.06/95.49  % Maximum resident set size: 2273024 pages
% 0.06/95.49  % E exiting
%------------------------------------------------------------------------------