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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR055+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 : n004.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 12:16:19 PM UTC 2026

% Result   : Theorem 0.31s 125.44s
% Output   : CNFRefutation 0.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            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 :   16 (  10   ~;   4   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 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(query305,conjecture,
    ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query305) ).

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

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

fof(ax5_1553900,axiom,
    individual(c_xskijump_thegame),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+5.ax',ax5_1553900) ).

fof(c_0_4,negated_conjecture,
    ~ ~ disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(assume_negation,[status(cth)],[query305]) ).

fof(c_0_5,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_6,negated_conjecture,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_7,plain,
    ! [X89] :
      ( ~ individual(X89)
      | ~ collection(X89) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax5_1365323])])]) ).

cnf(c_0_8,plain,
    ( ~ disjointwith(X1,X2)
    | collection(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,negated_conjecture,
    disjointwith(c_xskijump_thegame,c_tptpcol_16_35301),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( ~ individual(X1)
    | ~ collection(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,negated_conjecture,
    collection(c_xskijump_thegame),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    individual(c_xskijump_thegame),
    inference(split_conjunct,[status(thm)],[ax5_1553900]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR055+6 : TPTP v9.3.1. Bugfixed v5.3.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/5.51  % Computer : n004.cluster.edu
% 0.20/5.51  % Model    : x86_64 x86_64
% 0.20/5.51  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/5.51  % Memory   : 8046.5625MB
% 0.20/5.51  % OS       : Linux 6.8.0-71-generic
% 0.20/5.51  % CPULimit : 300
% 0.20/5.51  % WCLimit  : 300
% 0.20/5.51  % DateTime : Mon Sep 21 14:37:57 UTC 2026
% 0.20/5.52  % CPUTime  : 
% 0.20/5.52  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/5.59  Running first-order theorem proving
% 0.20/5.59  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
% 0.31/125.44  % Version: 3.5.1
% 0.31/125.44  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.31/125.44  % Scheduled 4 strats onto 8 cores with 205 seconds (1640 total)
% 0.31/125.44  % Starting new_ho_10 with 410s (2) cores
% 0.31/125.44  % Starting sh3 with 410s (2) cores
% 0.31/125.44  % Starting ho_unfolding_3 with 410s (2) cores
% 0.31/125.44  % Starting new_ho_10_cnf2 with 410s (2) cores
% 0.31/125.44  % ho_unfolding_3 with pid 3391464 completed with status 0
% 0.31/125.44  % Result found by ho_unfolding_3
% 0.31/125.44  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.31/125.44  % Scheduled 4 strats onto 8 cores with 205 seconds (1640 total)
% 0.31/125.44  % Starting new_ho_10 with 410s (2) cores
% 0.31/125.44  % Starting sh3 with 410s (2) cores
% 0.31/125.44  % Starting ho_unfolding_3 with 410s (2) cores
% 0.31/125.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.31/125.44  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.31/125.44  % Search class: FHHSM-SMLM31-MFFFFFNN
% 0.31/125.44  % Scheduled 7 strats onto 2 cores with 394 seconds (394 total)
% 0.31/125.44  % Starting SubtermCWHack with 36s (1) cores
% 0.31/125.44  % Starting ho_unfolding_3 with 40s (1) cores
% 0.31/125.44  % ho_unfolding_3 with pid 3391467 completed with status 0
% 0.31/125.44  % Result found by ho_unfolding_3
% 0.31/125.44  % Preprocessing class: FLLLLMLLSSSNFFN.
% 0.31/125.44  % Scheduled 4 strats onto 8 cores with 205 seconds (1640 total)
% 0.31/125.44  % Starting new_ho_10 with 410s (2) cores
% 0.31/125.44  % Starting sh3 with 410s (2) cores
% 0.31/125.44  % Starting ho_unfolding_3 with 410s (2) cores
% 0.31/125.44  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.31/125.44  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 0.31/125.44  % Search class: FHHSM-SMLM31-MFFFFFNN
% 0.31/125.44  % Scheduled 7 strats onto 2 cores with 394 seconds (394 total)
% 0.31/125.44  % Starting SubtermCWHack with 36s (1) cores
% 0.31/125.44  % Starting ho_unfolding_3 with 40s (1) cores
% 0.31/125.44  % Preprocessing time       : 1.457 s
% 0.31/125.44  % Presaturation interreduction done
% 0.31/125.44  
% 0.31/125.44  % Proof found!
% 0.31/125.44  % SZS status Theorem
% 0.31/125.44  % SZS output start CNFRefutation
% See solution above
% 0.31/125.44  % Parsed axioms                        : 3341978
% 0.31/125.44  % Removed by relevancy pruning/SinE    : 3324742
% 0.31/125.44  % Initial clauses                      : 17236
% 0.31/125.44  % Removed in clause preprocessing      : 2
% 0.31/125.44  % Initial clauses in saturation        : 17234
% 0.31/125.44  % Processed clauses                    : 18111
% 0.31/125.44  % ...of these trivial                  : 2400
% 0.31/125.44  % ...subsumed                          : 171
% 0.31/125.44  % ...remaining for further processing  : 15540
% 0.31/125.44  % Other redundant clauses eliminated   : 1
% 0.31/125.44  % Clauses deleted for lack of memory   : 0
% 0.31/125.44  % Backward-subsumed                    : 4
% 0.31/125.44  % Backward-rewritten                   : 38
% 0.31/125.44  % Generated clauses                    : 326
% 0.31/125.44  % ...of the previous two non-redundant : 307
% 0.31/125.44  % ...aggressively subsumed             : 0
% 0.31/125.44  % Contextual simplify-reflections      : 0
% 0.31/125.44  % Paramodulations                      : 325
% 0.31/125.44  % Factorizations                       : 0
% 0.31/125.44  % NegExts                              : 0
% 0.31/125.44  % Equation resolutions                 : 1
% 0.31/125.44  % Disequality decompositions           : 0
% 0.31/125.44  % Total rewrite steps                  : 2458
% 0.31/125.44  % ...of those cached                   : 49
% 0.31/125.44  % Propositional unsat checks           : 0
% 0.31/125.44  %    Propositional check models        : 0
% 0.31/125.44  %    Propositional check unsatisfiable : 0
% 0.31/125.44  %    Propositional clauses             : 0
% 0.31/125.44  %    Propositional clauses after purity: 0
% 0.31/125.44  %    Propositional unsat core size     : 0
% 0.31/125.44  %    Propositional preprocessing time  : 0.000
% 0.31/125.44  %    Propositional encoding time       : 0.000
% 0.31/125.44  %    Propositional solver time         : 0.000
% 0.31/125.44  %    Success case prop preproc time    : 0.000
% 0.31/125.44  %    Success case prop encoding time   : 0.000
% 0.31/125.44  %    Success case prop solver time     : 0.000
% 0.31/125.44  % Current number of processed clauses  : 871
% 0.31/125.44  %    Positive orientable unit clauses  : 526
% 0.31/125.44  %    Positive unorientable unit clauses: 0
% 0.31/125.44  %    Negative unit clauses             : 174
% 0.31/125.44  %    Non-unit-clauses                  : 171
% 0.31/125.44  % Current number of unprocessed clauses: 14056
% 0.31/125.44  % ...number of literals in the above   : 18902
% 0.31/125.44  % Current number of archived formulas  : 0
% 0.31/125.44  % Current number of archived clauses   : 14668
% 0.31/125.44  % Clause-clause subsumption calls (NU) : 1179181
% 0.31/125.44  % Rec. Clause-clause subsumption calls : 1031193
% 0.31/125.44  % Non-unit clause-clause subsumptions  : 168
% 0.31/125.44  % Unit Clause-clause subsumption calls : 34772
% 0.31/125.44  % Rewrite failures with RHS unbound    : 0
% 0.31/125.44  % BW rewrite match attempts            : 49332
% 0.31/125.44  % BW rewrite match successes           : 35
% 0.31/125.44  % Condensation attempts                : 18111
% 0.31/125.44  % Condensation successes               : 0
% 0.31/125.44  % Termbank termtop insertions          : 22623317
% 0.31/125.44  % Search garbage collected termcells   : 10473616
% 0.31/125.44  
% 0.31/125.44  % -------------------------------------------------
% 0.31/125.44  % User time                : 16.352 s
% 0.31/125.44  % System time              : 5.273 s
% 0.31/125.44  % Total time               : 21.624 s
% 0.31/125.44  % Maximum resident set size: 5020844 pages
% 0.31/125.44  
% 0.31/125.44  % -------------------------------------------------
% 0.31/125.44  % User time                : 112.194 s
% 0.31/125.44  % System time              : 10.785 s
% 0.31/125.44  % Total time               : 122.979 s
% 0.31/125.44  % Maximum resident set size: 2273280 pages
% 0.31/125.44  % E exiting
%------------------------------------------------------------------------------