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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR086+6 : 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 : n001.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 5.24s 4.63s
% Output   : CNFRefutation 5.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (  12 unt;   0 def)
%            Number of atoms       :  120 (  14 equ)
%            Maximal formula atoms :   45 (   4 avg)
%            Number of connectives :  146 (  54   ~;  61   |;  23   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   52 (   9 sgn  29   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_26635,axiom,
    ! [X1,X15] :
      ( s__subclass(X1,X15)
     => ( s__instance(X15,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26635) ).

fof(kb_SUMO_32603,axiom,
    ! [X137,X12,X136] :
      ( X12 = s__UnionFn(X136,X137)
    <=> ! [X1138,X34,X1139] :
          ( ( s__instance(X137,s__SetOrClass)
            & s__instance(X12,s__SetOrClass)
            & s__instance(X136,s__SetOrClass) )
         => ( ( s__instance(X1139,X12)
              & s__instance(X34,X137)
              & s__instance(X1138,X136) )
           => ( ( s__instance(X1139,X137)
                | s__instance(X1139,X136) )
              & s__instance(X34,X12)
              & s__instance(X1138,X12) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32603) ).

fof(kb_SUMO_32707,axiom,
    s__subclass(s__GraphLoop,s__GraphArc),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32707) ).

fof(kb_SUMO_26636,axiom,
    ! [X1,X15,X13] :
      ( ( s__instance(X1,s__SetOrClass)
        & s__instance(X15,s__SetOrClass) )
     => ( ( s__instance(X13,X1)
          & s__subclass(X1,X15) )
       => s__instance(X13,X15) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26636) ).

fof(prove_from_ALL,conjecture,
    ? [X2341] : s__links(X2341,X2341,s__Arc13_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_ALL) ).

fof(kb_SUMO_32710,axiom,
    ! [X1148] :
      ( s__instance(X1148,s__GraphArc)
     => ( s__instance(X1148,s__GraphLoop)
      <=> ? [X1149] :
            ( s__links(X1149,X1149,X1148)
            & s__instance(X1149,s__GraphNode) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32710) ).

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

fof(c_0_7,plain,
    ! [X2435,X2436] :
      ( ( ~ s__subclass(X2435,X2436)
        | s__instance(X2436,s__SetOrClass) )
      & ( ~ s__subclass(X2435,X2436)
        | s__instance(X2435,s__SetOrClass) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26635])])])]) ).

fof(c_0_8,plain,
    ! [X2452,X2453,X2454,X2455,X2456,X2457,X2458,X2459,X2460] :
      ( ( X2459 = s__UnionFn(X2460,X2458)
        | ~ s__instance(esk14_3(X2458,X2459,X2460),X2459)
        | ~ s__instance(esk13_3(X2458,X2459,X2460),X2459)
        | ~ s__instance(esk15_3(X2458,X2459,X2460),X2458) )
      & ( X2459 = s__UnionFn(X2460,X2458)
        | ~ s__instance(esk14_3(X2458,X2459,X2460),X2459)
        | ~ s__instance(esk13_3(X2458,X2459,X2460),X2459)
        | ~ s__instance(esk15_3(X2458,X2459,X2460),X2460) )
      & ( X2459 = s__UnionFn(X2460,X2458)
        | s__instance(esk15_3(X2458,X2459,X2460),X2459) )
      & ( X2459 = s__UnionFn(X2460,X2458)
        | s__instance(esk14_3(X2458,X2459,X2460),X2458) )
      & ( X2459 = s__UnionFn(X2460,X2458)
        | s__instance(esk13_3(X2458,X2459,X2460),X2460) )
      & ( X2459 = s__UnionFn(X2460,X2458)
        | s__instance(X2458,s__SetOrClass) )
      & ( X2459 = s__UnionFn(X2460,X2458)
        | s__instance(X2459,s__SetOrClass) )
      & ( X2459 = s__UnionFn(X2460,X2458)
        | s__instance(X2460,s__SetOrClass) )
      & ( X2453 != s__UnionFn(X2454,X2452)
        | ~ s__instance(X2452,s__SetOrClass)
        | ~ s__instance(X2453,s__SetOrClass)
        | ~ s__instance(X2454,s__SetOrClass)
        | ~ s__instance(X2457,X2453)
        | ~ s__instance(X2456,X2452)
        | ~ s__instance(X2455,X2454)
        | s__instance(X2457,X2452)
        | s__instance(X2457,X2454) )
      & ( X2453 != s__UnionFn(X2454,X2452)
        | ~ s__instance(X2452,s__SetOrClass)
        | ~ s__instance(X2453,s__SetOrClass)
        | ~ s__instance(X2454,s__SetOrClass)
        | ~ s__instance(X2457,X2453)
        | ~ s__instance(X2456,X2452)
        | ~ s__instance(X2455,X2454)
        | s__instance(X2456,X2453) )
      & ( X2453 != s__UnionFn(X2454,X2452)
        | ~ s__instance(X2452,s__SetOrClass)
        | ~ s__instance(X2453,s__SetOrClass)
        | ~ s__instance(X2454,s__SetOrClass)
        | ~ s__instance(X2457,X2453)
        | ~ s__instance(X2456,X2452)
        | ~ s__instance(X2455,X2454)
        | s__instance(X2455,X2453) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_32603])])])])])])]) ).

cnf(c_0_9,plain,
    ( ~ s__subclass(X1,X2)
    | s__instance(X1,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    s__subclass(s__GraphLoop,s__GraphArc),
    inference(split_conjunct,[status(thm)],[kb_SUMO_32707]) ).

cnf(c_0_11,plain,
    ( X2 = s__UnionFn(X3,X1)
    | s__instance(X1,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    s__instance(s__GraphLoop,s__SetOrClass),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( s__instance(X3,s__SetOrClass)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_11,c_0_11]) ).

fof(c_0_14,plain,
    ! [X2437,X2438,X2439] :
      ( s__instance(X2439,X2438)
      | ~ s__instance(X2439,X2437)
      | ~ s__subclass(X2437,X2438)
      | ~ s__instance(X2437,s__SetOrClass)
      | ~ s__instance(X2438,s__SetOrClass) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26636])])]) ).

cnf(c_0_15,plain,
    ( s__instance(X2,s__SetOrClass)
    | s__instance(X1,s__SetOrClass) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

fof(c_0_16,negated_conjecture,
    ~ ? [X2341] : s__links(X2341,X2341,s__Arc13_1),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

cnf(c_0_17,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_14]) ).

cnf(c_0_18,plain,
    s__instance(X1,s__SetOrClass),
    inference(ef,[status(thm)],[c_0_15]) ).

fof(c_0_19,negated_conjecture,
    ! [X2342] : ~ s__links(X2342,X2342,s__Arc13_1),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])]) ).

fof(c_0_20,plain,
    ! [X2539,X2541] :
      ( ( ~ s__instance(X2539,s__GraphArc)
        | s__instance(X2539,s__GraphLoop)
        | ~ s__links(X2541,X2541,X2539)
        | ~ s__instance(X2541,s__GraphNode) )
      & ( ~ s__instance(X2539,s__GraphArc)
        | ~ s__instance(X2539,s__GraphLoop)
        | s__links(esk22_1(X2539),esk22_1(X2539),X2539) )
      & ( ~ s__instance(X2539,s__GraphArc)
        | ~ s__instance(X2539,s__GraphLoop)
        | s__instance(esk22_1(X2539),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_32710])])])])])]) ).

cnf(c_0_21,plain,
    ( ~ s__subclass(X3,X2)
    | ~ s__instance(X1,X3)
    | s__instance(X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18])]) ).

cnf(c_0_22,negated_conjecture,
    ~ s__links(X1,X1,s__Arc13_1),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,plain,
    ( ~ s__instance(X1,s__GraphArc)
    | ~ s__instance(X1,s__GraphLoop)
    | s__links(esk22_1(X1),esk22_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_24,plain,
    s__instance(s__Arc13_1,s__GraphLoop),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_25,plain,
    ( ~ s__instance(X1,s__GraphLoop)
    | s__instance(X1,s__GraphArc) ),
    inference(spm,[status(thm)],[c_0_21,c_0_10]) ).

cnf(c_0_26,negated_conjecture,
    ~ s__instance(s__Arc13_1,s__GraphArc),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).

cnf(c_0_27,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_24]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR086+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44  % Computer : n001.cluster.edu
% 0.16/0.44  % Model    : x86_64 x86_64
% 0.16/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44  % Memory   : 8046.5625MB
% 0.16/0.44  % OS       : Linux 6.8.0-71-generic
% 0.16/0.44  % CPULimit : 300
% 0.16/0.44  % WCLimit  : 300
% 0.16/0.44  % DateTime : Mon Sep 21 14:58:15 UTC 2026
% 0.16/0.44  % CPUTime  : 
% 0.16/0.44  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.51  Running first-order theorem proving
% 0.26/0.51  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
% 5.24/4.63  % Version: 3.5.1
% 5.24/4.63  % Preprocessing class: FMLLSMSLSSSNFFN.
% 5.24/4.63  % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 5.24/4.63  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1485s (5) cores
% 5.24/4.63  % Starting new_bool_3 with 297s (1) cores
% 5.24/4.63  % Starting new_bool_1 with 297s (1) cores
% 5.24/4.63  % Starting sh5l with 297s (1) cores
% 5.24/4.63  % new_bool_3 with pid 3401603 completed with status 0
% 5.24/4.63  % Result found by new_bool_3
% 5.24/4.63  % Preprocessing class: FMLLSMSLSSSNFFN.
% 5.24/4.63  % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 5.24/4.63  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1485s (5) cores
% 5.24/4.63  % Starting new_bool_3 with 297s (1) cores
% 5.24/4.63  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 5.24/4.63  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.24/4.63  % Search class: FGHSS-FSLM32-MFFFFFNN
% 5.24/4.63  % Scheduled 5 strats onto 1 cores with 297 seconds (297 total)
% 5.24/4.63  % Starting SubtermCWHack with 30s (1) cores
% 5.24/4.63  % SubtermCWHack with pid 3401606 completed with status 0
% 5.24/4.63  % Result found by SubtermCWHack
% 5.24/4.63  % Preprocessing class: FMLLSMSLSSSNFFN.
% 5.24/4.63  % Scheduled 4 strats onto 8 cores with 297 seconds (2376 total)
% 5.24/4.63  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1485s (5) cores
% 5.24/4.63  % Starting new_bool_3 with 297s (1) cores
% 5.24/4.63  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 5.24/4.63  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.24/4.63  % Search class: FGHSS-FSLM32-MFFFFFNN
% 5.24/4.63  % Scheduled 5 strats onto 1 cores with 297 seconds (297 total)
% 5.24/4.63  % Starting SubtermCWHack with 30s (1) cores
% 5.24/4.63  % Preprocessing time       : 0.025 s
% 5.24/4.63  
% 5.24/4.63  % Proof found!
% 5.24/4.63  % SZS status Theorem
% 5.24/4.63  % SZS output start CNFRefutation
% See solution above
% 5.24/4.63  % Parsed axioms                        : 55588
% 5.24/4.63  % Removed by relevancy pruning/SinE    : 55466
% 5.24/4.63  % Initial clauses                      : 201
% 5.24/4.63  % Removed in clause preprocessing      : 14
% 5.24/4.63  % Initial clauses in saturation        : 187
% 5.24/4.63  % Processed clauses                    : 199
% 5.24/4.63  % ...of these trivial                  : 13
% 5.24/4.63  % ...subsumed                          : 1
% 5.24/4.63  % ...remaining for further processing  : 185
% 5.24/4.63  % Other redundant clauses eliminated   : 7
% 5.24/4.63  % Clauses deleted for lack of memory   : 0
% 5.24/4.63  % Backward-subsumed                    : 8
% 5.24/4.63  % Backward-rewritten                   : 33
% 5.24/4.63  % Generated clauses                    : 467
% 5.24/4.63  % ...of the previous two non-redundant : 451
% 5.24/4.63  % ...aggressively subsumed             : 0
% 5.24/4.63  % Contextual simplify-reflections      : 0
% 5.24/4.63  % Paramodulations                      : 456
% 5.24/4.63  % Factorizations                       : 4
% 5.24/4.63  % NegExts                              : 0
% 5.24/4.63  % Equation resolutions                 : 7
% 5.24/4.63  % Disequality decompositions           : 0
% 5.24/4.63  % Total rewrite steps                  : 63
% 5.24/4.63  % ...of those cached                   : 21
% 5.24/4.63  % Propositional unsat checks           : 0
% 5.24/4.63  %    Propositional check models        : 0
% 5.24/4.63  %    Propositional check unsatisfiable : 0
% 5.24/4.63  %    Propositional clauses             : 0
% 5.24/4.63  %    Propositional clauses after purity: 0
% 5.24/4.63  %    Propositional unsat core size     : 0
% 5.24/4.63  %    Propositional preprocessing time  : 0.000
% 5.24/4.63  %    Propositional encoding time       : 0.000
% 5.24/4.63  %    Propositional solver time         : 0.000
% 5.24/4.63  %    Success case prop preproc time    : 0.000
% 5.24/4.63  %    Success case prop encoding time   : 0.000
% 5.24/4.63  %    Success case prop solver time     : 0.000
% 5.24/4.63  % Current number of processed clauses  : 143
% 5.24/4.63  %    Positive orientable unit clauses  : 46
% 5.24/4.63  %    Positive unorientable unit clauses: 0
% 5.24/4.63  %    Negative unit clauses             : 2
% 5.24/4.63  %    Non-unit-clauses                  : 95
% 5.24/4.63  % Current number of unprocessed clauses: 104
% 5.24/4.63  % ...number of literals in the above   : 583
% 5.24/4.63  % Current number of archived formulas  : 0
% 5.24/4.63  % Current number of archived clauses   : 41
% 5.24/4.63  % Clause-clause subsumption calls (NU) : 1287
% 5.24/4.63  % Rec. Clause-clause subsumption calls : 817
% 5.24/4.63  % Non-unit clause-clause subsumptions  : 4
% 5.24/4.63  % Unit Clause-clause subsumption calls : 111
% 5.24/4.63  % Rewrite failures with RHS unbound    : 0
% 5.24/4.63  % BW rewrite match attempts            : 54
% 5.24/4.63  % BW rewrite match successes           : 32
% 5.24/4.63  % Condensation attempts                : 0
% 5.24/4.63  % Condensation successes               : 0
% 5.24/4.63  % Termbank termtop insertions          : 668761
% 5.24/4.63  % Search garbage collected termcells   : 293503
% 5.24/4.63  
% 5.24/4.63  % -------------------------------------------------
% 5.24/4.63  % User time                : 0.272 s
% 5.24/4.63  % System time              : 0.147 s
% 5.24/4.63  % Total time               : 0.419 s
% 5.24/4.63  % Maximum resident set size: 137016 pages
% 5.24/4.63  
% 5.24/4.63  % -------------------------------------------------
% 5.24/4.63  % User time                : 3.714 s
% 5.24/4.63  % System time              : 0.314 s
% 5.24/4.63  % Total time               : 4.027 s
% 5.24/4.63  % Maximum resident set size: 63744 pages
% 5.24/4.63  % E exiting
%------------------------------------------------------------------------------