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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR031+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 : n026.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 23.60s 17.13s
% Output   : CNFRefutation 23.60s
% 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(query231,conjecture,
    ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query231) ).

fof(ax4_117519,axiom,
    ! [X1] :
      ~ ( individual(X1)
        & collection(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+4.ax',ax4_117519) ).

fof(ax4_540134,axiom,
    ! [X7,X3] :
      ( disjointwith(X7,X3)
     => collection(X7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+4.ax',ax4_540134) ).

fof(ax4_128360,axiom,
    individual(c_tptptptpcol_16_8398),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+4.ax',ax4_128360) ).

fof(c_0_4,negated_conjecture,
    ~ ~ disjointwith(c_tptptptpcol_16_8398,c_tptpcol_16_18488),
    inference(assume_negation,[status(cth)],[query231]) ).

fof(c_0_5,plain,
    ! [X59] :
      ( ~ individual(X59)
      | ~ collection(X59) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_117519])])]) ).

fof(c_0_6,plain,
    ! [X42,X43] :
      ( collection(X42)
      | ~ disjointwith(X42,X43) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax4_540134])])]) ).

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)],[ax4_128360]) ).

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
% 0.00/0.02  % Problem  : CSR031+5 : TPTP v9.3.1. Bugfixed v3.5.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n026.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Mon Sep 21 14:29:36 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  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
% 23.60/17.13  % Version: 3.5.1
% 23.60/17.13  % Preprocessing class: FLLLLMLLSSSNFFN.
% 23.60/17.13  % Scheduled 4 strats onto 8 cores with 287 seconds (2296 total)
% 23.60/17.13  % Starting new_ho_10 with 574s (2) cores
% 23.60/17.13  % Starting sh3 with 574s (2) cores
% 23.60/17.13  % Starting ho_unfolding_3 with 574s (2) cores
% 23.60/17.13  % Starting new_ho_10_cnf2 with 574s (2) cores
% 23.60/17.13  % new_ho_10 with pid 2513883 completed with status 0
% 23.60/17.13  % Result found by new_ho_10
% 23.60/17.13  % Preprocessing class: FLLLLMLLSSSNFFN.
% 23.60/17.13  % Scheduled 4 strats onto 8 cores with 287 seconds (2296 total)
% 23.60/17.13  % Starting new_ho_10 with 574s (2) cores
% 23.60/17.13  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 23.60/17.13  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 23.60/17.13  % Search class: FHHSM-FSLM31-SFFFFFNN
% 23.60/17.13  % partial match(1): FGHSM-FSLM31-SFFFFFNN
% 23.60/17.13  % Scheduled 7 strats onto 2 cores with 572 seconds (572 total)
% 23.60/17.13  % Starting SubtermCWHack with 52s (1) cores
% 23.60/17.13  % Starting new_ho_10 with 58s (1) cores
% 23.60/17.13  % SubtermCWHack with pid 2513887 completed with status 0
% 23.60/17.13  % Result found by SubtermCWHack
% 23.60/17.13  % Preprocessing class: FLLLLMLLSSSNFFN.
% 23.60/17.13  % Scheduled 4 strats onto 8 cores with 287 seconds (2296 total)
% 23.60/17.13  % Starting new_ho_10 with 574s (2) cores
% 23.60/17.13  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 23.60/17.13  % SinE strategy is gf500_h_gu_R04_F100_L20000
% 23.60/17.13  % Search class: FHHSM-FSLM31-SFFFFFNN
% 23.60/17.13  % partial match(1): FGHSM-FSLM31-SFFFFFNN
% 23.60/17.13  % Scheduled 7 strats onto 2 cores with 572 seconds (572 total)
% 23.60/17.13  % Starting SubtermCWHack with 52s (1) cores
% 23.60/17.13  % Preprocessing time       : 0.331 s
% 23.60/17.13  
% 23.60/17.13  % Proof found!
% 23.60/17.13  % SZS status Theorem
% 23.60/17.13  % SZS output start CNFRefutation
% See solution above
% 23.60/17.13  % Parsed axioms                        : 540250
% 23.60/17.13  % Removed by relevancy pruning/SinE    : 539879
% 23.60/17.13  % Initial clauses                      : 371
% 23.60/17.13  % Removed in clause preprocessing      : 2
% 23.60/17.13  % Initial clauses in saturation        : 369
% 23.60/17.13  % Processed clauses                    : 200
% 23.60/17.13  % ...of these trivial                  : 22
% 23.60/17.13  % ...subsumed                          : 12
% 23.60/17.13  % ...remaining for further processing  : 166
% 23.60/17.13  % Other redundant clauses eliminated   : 1
% 23.60/17.13  % Clauses deleted for lack of memory   : 0
% 23.60/17.13  % Backward-subsumed                    : 0
% 23.60/17.13  % Backward-rewritten                   : 21
% 23.60/17.13  % Generated clauses                    : 103
% 23.60/17.13  % ...of the previous two non-redundant : 86
% 23.60/17.13  % ...aggressively subsumed             : 0
% 23.60/17.13  % Contextual simplify-reflections      : 0
% 23.60/17.13  % Paramodulations                      : 102
% 23.60/17.13  % Factorizations                       : 0
% 23.60/17.13  % NegExts                              : 0
% 23.60/17.13  % Equation resolutions                 : 1
% 23.60/17.13  % Disequality decompositions           : 0
% 23.60/17.13  % Total rewrite steps                  : 52
% 23.60/17.13  % ...of those cached                   : 17
% 23.60/17.13  % Propositional unsat checks           : 0
% 23.60/17.13  %    Propositional check models        : 0
% 23.60/17.13  %    Propositional check unsatisfiable : 0
% 23.60/17.13  %    Propositional clauses             : 0
% 23.60/17.13  %    Propositional clauses after purity: 0
% 23.60/17.13  %    Propositional unsat core size     : 0
% 23.60/17.13  %    Propositional preprocessing time  : 0.000
% 23.60/17.13  %    Propositional encoding time       : 0.000
% 23.60/17.13  %    Propositional solver time         : 0.000
% 23.60/17.13  %    Success case prop preproc time    : 0.000
% 23.60/17.13  %    Success case prop encoding time   : 0.000
% 23.60/17.13  %    Success case prop solver time     : 0.000
% 23.60/17.13  % Current number of processed clauses  : 144
% 23.60/17.13  %    Positive orientable unit clauses  : 93
% 23.60/17.13  %    Positive unorientable unit clauses: 0
% 23.60/17.13  %    Negative unit clauses             : 24
% 23.60/17.13  %    Non-unit-clauses                  : 27
% 23.60/17.13  % Current number of unprocessed clauses: 239
% 23.60/17.13  % ...number of literals in the above   : 331
% 23.60/17.13  % Current number of archived formulas  : 0
% 23.60/17.13  % Current number of archived clauses   : 21
% 23.60/17.13  % Clause-clause subsumption calls (NU) : 146
% 23.60/17.13  % Rec. Clause-clause subsumption calls : 140
% 23.60/17.13  % Non-unit clause-clause subsumptions  : 12
% 23.60/17.13  % Unit Clause-clause subsumption calls : 368
% 23.60/17.13  % Rewrite failures with RHS unbound    : 0
% 23.60/17.13  % BW rewrite match attempts            : 21
% 23.60/17.13  % BW rewrite match successes           : 21
% 23.60/17.13  % Condensation attempts                : 0
% 23.60/17.13  % Condensation successes               : 0
% 23.60/17.13  % Termbank termtop insertions          : 3689711
% 23.60/17.13  % Search garbage collected termcells   : 2173736
% 23.60/17.13  
% 23.60/17.13  % -------------------------------------------------
% 23.60/17.13  % User time                : 2.199 s
% 23.60/17.13  % System time              : 0.900 s
% 23.60/17.13  % Total time               : 3.099 s
% 23.60/17.13  % Maximum resident set size: 1242144 pages
% 23.60/17.13  
% 23.60/17.13  % -------------------------------------------------
% 23.60/17.13  % User time                : 15.025 s
% 23.60/17.13  % System time              : 1.681 s
% 23.60/17.13  % Total time               : 16.706 s
% 23.60/17.13  % Maximum resident set size: 456704 pages
% 23.60/17.13  % E exiting
%------------------------------------------------------------------------------