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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR086+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 12:16:41 PM UTC 2026

% Result   : Theorem 0.34s 0.66s
% Output   : CNFRefutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   64 (  28   ~;  24   |;   7   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   30 (   2 sgn  14   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_27,axiom,
    ! [X6,X7,X8] :
      ( ( s__instance(X6,s__SetOrClass)
        & s__instance(X7,s__SetOrClass) )
     => ( ( s__instance(X8,X6)
          & s__subclass(X6,X7) )
       => s__instance(X8,X7) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_27) ).

fof(kb_SUMO_26,axiom,
    ! [X6,X7] :
      ( s__subclass(X6,X7)
     => ( s__instance(X7,s__SetOrClass)
        & s__instance(X6,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_26) ).

fof(prove_from_SUMO,conjecture,
    ? [X591] : s__links(X591,X591,s__Arc13_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).

fof(kb_SUMO_3603,axiom,
    ! [X185] :
      ( s__instance(X185,s__GraphArc)
     => ( s__instance(X185,s__GraphLoop)
      <=> ? [X186] :
            ( s__links(X186,X186,X185)
            & s__instance(X186,s__GraphNode) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3603) ).

fof(kb_SUMO_3600,axiom,
    s__subclass(s__GraphLoop,s__GraphArc),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3600) ).

fof(local_1,axiom,
    s__instance(s__Arc13_1,s__GraphLoop),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

fof(c_0_6,plain,
    ! [X689,X690,X691] :
      ( s__instance(X691,X690)
      | ~ s__instance(X691,X689)
      | ~ s__subclass(X689,X690)
      | ~ s__instance(X689,s__SetOrClass)
      | ~ s__instance(X690,s__SetOrClass) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_27])])]) ).

fof(c_0_7,plain,
    ! [X687,X688] :
      ( ( ~ s__subclass(X687,X688)
        | s__instance(X688,s__SetOrClass) )
      & ( ~ s__subclass(X687,X688)
        | s__instance(X687,s__SetOrClass) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26])])])]) ).

fof(c_0_8,negated_conjecture,
    ~ ? [X591] : s__links(X591,X591,s__Arc13_1),
    inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).

cnf(c_0_9,plain,
    ( ~ s__instance(X3,X2)
    | ~ s__subclass(X2,X1)
    | ~ s__instance(X2,s__SetOrClass)
    | ~ s__instance(X1,s__SetOrClass)
    | s__instance(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( ~ s__subclass(X2,X1)
    | s__instance(X1,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( ~ s__subclass(X1,X2)
    | s__instance(X1,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_12,negated_conjecture,
    ! [X592] : ~ s__links(X592,X592,s__Arc13_1),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).

fof(c_0_13,plain,
    ! [X681,X683] :
      ( ( ~ s__instance(X681,s__GraphArc)
        | s__instance(X681,s__GraphLoop)
        | ~ s__links(X683,X683,X681)
        | ~ s__instance(X683,s__GraphNode) )
      & ( ~ s__instance(X681,s__GraphArc)
        | ~ s__instance(X681,s__GraphLoop)
        | s__links(esk11_1(X681),esk11_1(X681),X681) )
      & ( ~ s__instance(X681,s__GraphArc)
        | ~ s__instance(X681,s__GraphLoop)
        | s__instance(esk11_1(X681),s__GraphNode) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3603])])])])])]) ).

cnf(c_0_14,plain,
    ( ~ s__instance(X1,X3)
    | ~ s__subclass(X3,X2)
    | s__instance(X1,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).

cnf(c_0_15,plain,
    s__subclass(s__GraphLoop,s__GraphArc),
    inference(split_conjunct,[status(thm)],[kb_SUMO_3600]) ).

cnf(c_0_16,negated_conjecture,
    ~ s__links(X1,X1,s__Arc13_1),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( ~ s__instance(X1,s__GraphArc)
    | ~ s__instance(X1,s__GraphLoop)
    | s__links(esk11_1(X1),esk11_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_18,plain,
    s__instance(s__Arc13_1,s__GraphLoop),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_19,plain,
    ( ~ s__instance(X1,s__GraphLoop)
    | s__instance(X1,s__GraphArc) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    ~ s__instance(s__Arc13_1,s__GraphArc),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).

cnf(c_0_21,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_18]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR086+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n002.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Mon Sep 21 14:55:03 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 0.34/0.66  % Version: 3.5.1
% 0.34/0.66  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.34/0.66  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.66  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.34/0.66  % Starting new_bool_3 with 300s (1) cores
% 0.34/0.66  % Starting new_bool_1 with 300s (1) cores
% 0.34/0.66  % Starting sh5l with 300s (1) cores
% 0.34/0.66  % new_bool_1 with pid 3546114 completed with status 0
% 0.34/0.66  % Result found by new_bool_1
% 0.34/0.66  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.34/0.66  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.66  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.34/0.66  % Starting new_bool_3 with 300s (1) cores
% 0.34/0.66  % Starting new_bool_1 with 300s (1) cores
% 0.34/0.66  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.34/0.66  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.34/0.66  % Search class: FGHSS-FFMM31-MFFFFFNN
% 0.34/0.66  % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.34/0.66  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.66  % Starting SubtermCWHack with 28s (1) cores
% 0.34/0.66  % SubtermCWHack with pid 3546118 completed with status 0
% 0.34/0.66  % Result found by SubtermCWHack
% 0.34/0.66  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.34/0.66  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.34/0.66  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 0.34/0.66  % Starting new_bool_3 with 300s (1) cores
% 0.34/0.66  % Starting new_bool_1 with 300s (1) cores
% 0.34/0.66  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.34/0.66  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.34/0.66  % Search class: FGHSS-FFMM31-MFFFFFNN
% 0.34/0.66  % partial match(1): FGHSM-FFMM31-MFFFFFNN
% 0.34/0.66  % Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.34/0.66  % Starting SubtermCWHack with 28s (1) cores
% 0.34/0.66  % Preprocessing time       : 0.006 s
% 0.34/0.66  
% 0.34/0.66  % Proof found!
% 0.34/0.66  % SZS status Theorem
% 0.34/0.66  % SZS output start CNFRefutation
% See solution above
% 0.34/0.66  % Parsed axioms                        : 7219
% 0.34/0.66  % Removed by relevancy pruning/SinE    : 7154
% 0.34/0.66  % Initial clauses                      : 90
% 0.34/0.66  % Removed in clause preprocessing      : 8
% 0.34/0.66  % Initial clauses in saturation        : 82
% 0.34/0.66  % Processed clauses                    : 86
% 0.34/0.66  % ...of these trivial                  : 3
% 0.34/0.66  % ...subsumed                          : 0
% 0.34/0.66  % ...remaining for further processing  : 83
% 0.34/0.66  % Other redundant clauses eliminated   : 1
% 0.34/0.66  % Clauses deleted for lack of memory   : 0
% 0.34/0.66  % Backward-subsumed                    : 0
% 0.34/0.66  % Backward-rewritten                   : 0
% 0.34/0.66  % Generated clauses                    : 47
% 0.34/0.66  % ...of the previous two non-redundant : 37
% 0.34/0.66  % ...aggressively subsumed             : 0
% 0.34/0.66  % Contextual simplify-reflections      : 6
% 0.34/0.66  % Paramodulations                      : 46
% 0.34/0.66  % Factorizations                       : 0
% 0.34/0.66  % NegExts                              : 0
% 0.34/0.66  % Equation resolutions                 : 1
% 0.34/0.66  % Disequality decompositions           : 0
% 0.34/0.66  % Total rewrite steps                  : 6
% 0.34/0.66  % ...of those cached                   : 2
% 0.34/0.66  % Propositional unsat checks           : 0
% 0.34/0.66  %    Propositional check models        : 0
% 0.34/0.66  %    Propositional check unsatisfiable : 0
% 0.34/0.66  %    Propositional clauses             : 0
% 0.34/0.66  %    Propositional clauses after purity: 0
% 0.34/0.66  %    Propositional unsat core size     : 0
% 0.34/0.66  %    Propositional preprocessing time  : 0.000
% 0.34/0.66  %    Propositional encoding time       : 0.000
% 0.34/0.66  %    Propositional solver time         : 0.000
% 0.34/0.66  %    Success case prop preproc time    : 0.000
% 0.34/0.66  %    Success case prop encoding time   : 0.000
% 0.34/0.66  %    Success case prop solver time     : 0.000
% 0.34/0.66  % Current number of processed clauses  : 82
% 0.34/0.66  %    Positive orientable unit clauses  : 29
% 0.34/0.66  %    Positive unorientable unit clauses: 0
% 0.34/0.66  %    Negative unit clauses             : 2
% 0.34/0.66  %    Non-unit-clauses                  : 51
% 0.34/0.66  % Current number of unprocessed clauses: 33
% 0.34/0.66  % ...number of literals in the above   : 149
% 0.34/0.66  % Current number of archived formulas  : 0
% 0.34/0.66  % Current number of archived clauses   : 0
% 0.34/0.66  % Clause-clause subsumption calls (NU) : 283
% 0.34/0.66  % Rec. Clause-clause subsumption calls : 227
% 0.34/0.66  % Non-unit clause-clause subsumptions  : 6
% 0.34/0.66  % Unit Clause-clause subsumption calls : 10
% 0.34/0.66  % Rewrite failures with RHS unbound    : 0
% 0.34/0.66  % BW rewrite match attempts            : 0
% 0.34/0.66  % BW rewrite match successes           : 0
% 0.34/0.66  % Condensation attempts                : 0
% 0.34/0.66  % Condensation successes               : 0
% 0.34/0.66  % Termbank termtop insertions          : 84759
% 0.34/0.66  % Search garbage collected termcells   : 40034
% 0.34/0.66  
% 0.34/0.66  % -------------------------------------------------
% 0.34/0.66  % User time                : 0.032 s
% 0.34/0.66  % System time              : 0.017 s
% 0.34/0.66  % Total time               : 0.049 s
% 0.34/0.66  % Maximum resident set size: 18940 pages
% 0.34/0.66  
% 0.34/0.66  % -------------------------------------------------
% 0.34/0.66  % User time                : 0.184 s
% 0.34/0.66  % System time              : 0.037 s
% 0.34/0.66  % Total time               : 0.221 s
% 0.34/0.66  % Maximum resident set size: 12544 pages
% 0.34/0.66  % E exiting
%------------------------------------------------------------------------------