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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR087+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 12:16:42 PM UTC 2026

% Result   : Theorem 0.26s 13.72s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   29 (   7 unt;   0 def)
%            Number of atoms       :  124 (  33 equ)
%            Maximal formula atoms :   45 (   4 avg)
%            Number of connectives :  155 (  60   ~;  54   |;  34   &)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   9 con; 0-3 aty)
%            Number of variables   :   58 (  18 sgn  23   !;  11   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_49882,axiom,
    ! [X2266] :
      ( s__instance(X2266,s__Train)
     => ? [X1,X15] :
          ( X1 != X15
          & s__instance(X15,s__RollingStock)
          & s__instance(X1,s__RollingStock) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_49882) ).

fof(prove_from_ALL,conjecture,
    ~ ? [X2341] :
        ( X2341 != s__Nucleus14_1
        & s__component(X2341,s__Atom14_1)
        & s__instance(X2341,s__AtomicNucleus) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_ALL) ).

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/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32603) ).

fof(kb_SUMO_49908,axiom,
    ! [X2266] :
      ( s__instance(X2266,s__Train)
     => ~ ? [X1,X15] :
            ( X1 != X15
            & s__instance(X15,s__RollingStock)
            & s__instance(X1,s__RollingStock) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+2.ax',kb_SUMO_49908) ).

fof(c_0_4,plain,
    ! [X2266] :
      ( s__instance(X2266,s__Train)
     => ? [X1,X15] :
          ( X1 != X15
          & s__instance(X15,s__RollingStock)
          & s__instance(X1,s__RollingStock) ) ),
    inference(fof_simplification,[status(thm)],[kb_SUMO_49882]) ).

fof(c_0_5,negated_conjecture,
    ~ ~ ? [X2341] :
          ( X2341 != s__Nucleus14_1
          & s__component(X2341,s__Atom14_1)
          & s__instance(X2341,s__AtomicNucleus) ),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

fof(c_0_6,plain,
    ! [X7090] :
      ( ( ~ s__instance(X7090,s__Train)
        | esk527_0 != esk528_0 )
      & ( ~ s__instance(X7090,s__Train)
        | s__instance(esk528_0,s__RollingStock) )
      & ( ~ s__instance(X7090,s__Train)
        | s__instance(esk527_0,s__RollingStock) ) ),
    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)],[c_0_4])])])])])])]) ).

fof(c_0_7,plain,
    ! [X2472,X2473,X2474,X2475,X2476,X2477,X2478,X2479,X2480] :
      ( ( X2479 = s__UnionFn(X2480,X2478)
        | ~ s__instance(esk15_3(X2478,X2479,X2480),X2479)
        | ~ s__instance(esk14_3(X2478,X2479,X2480),X2479)
        | ~ s__instance(esk16_3(X2478,X2479,X2480),X2478) )
      & ( X2479 = s__UnionFn(X2480,X2478)
        | ~ s__instance(esk15_3(X2478,X2479,X2480),X2479)
        | ~ s__instance(esk14_3(X2478,X2479,X2480),X2479)
        | ~ s__instance(esk16_3(X2478,X2479,X2480),X2480) )
      & ( X2479 = s__UnionFn(X2480,X2478)
        | s__instance(esk16_3(X2478,X2479,X2480),X2479) )
      & ( X2479 = s__UnionFn(X2480,X2478)
        | s__instance(esk15_3(X2478,X2479,X2480),X2478) )
      & ( X2479 = s__UnionFn(X2480,X2478)
        | s__instance(esk14_3(X2478,X2479,X2480),X2480) )
      & ( X2479 = s__UnionFn(X2480,X2478)
        | s__instance(X2478,s__SetOrClass) )
      & ( X2479 = s__UnionFn(X2480,X2478)
        | s__instance(X2479,s__SetOrClass) )
      & ( X2479 = s__UnionFn(X2480,X2478)
        | s__instance(X2480,s__SetOrClass) )
      & ( X2473 != s__UnionFn(X2474,X2472)
        | ~ s__instance(X2472,s__SetOrClass)
        | ~ s__instance(X2473,s__SetOrClass)
        | ~ s__instance(X2474,s__SetOrClass)
        | ~ s__instance(X2477,X2473)
        | ~ s__instance(X2476,X2472)
        | ~ s__instance(X2475,X2474)
        | s__instance(X2477,X2472)
        | s__instance(X2477,X2474) )
      & ( X2473 != s__UnionFn(X2474,X2472)
        | ~ s__instance(X2472,s__SetOrClass)
        | ~ s__instance(X2473,s__SetOrClass)
        | ~ s__instance(X2474,s__SetOrClass)
        | ~ s__instance(X2477,X2473)
        | ~ s__instance(X2476,X2472)
        | ~ s__instance(X2475,X2474)
        | s__instance(X2476,X2473) )
      & ( X2473 != s__UnionFn(X2474,X2472)
        | ~ s__instance(X2472,s__SetOrClass)
        | ~ s__instance(X2473,s__SetOrClass)
        | ~ s__instance(X2474,s__SetOrClass)
        | ~ s__instance(X2477,X2473)
        | ~ s__instance(X2476,X2472)
        | ~ s__instance(X2475,X2474)
        | s__instance(X2475,X2473) ) ),
    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])])])])])])]) ).

fof(c_0_8,negated_conjecture,
    ~ ~ ? [X2341] :
          ( X2341 != s__Nucleus14_1
          & s__component(X2341,s__Atom14_1)
          & s__instance(X2341,s__AtomicNucleus) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( ~ s__instance(X1,s__Train)
    | s__instance(esk527_0,s__RollingStock) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( X2 = s__UnionFn(X3,X1)
    | s__instance(esk14_3(X1,X2,X3),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X2266] :
      ( s__instance(X2266,s__Train)
     => ~ ? [X1,X15] :
            ( X1 != X15
            & s__instance(X15,s__RollingStock)
            & s__instance(X1,s__RollingStock) ) ),
    inference(fof_simplification,[status(thm)],[kb_SUMO_49908]) ).

fof(c_0_12,negated_conjecture,
    ( esk1_0 != s__Nucleus14_1
    & s__component(esk1_0,s__Atom14_1)
    & s__instance(esk1_0,s__AtomicNucleus) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])]) ).

cnf(c_0_13,plain,
    ( s__instance(esk527_0,s__RollingStock)
    | X1 = s__UnionFn(s__Train,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( ~ s__instance(X1,s__Train)
    | s__instance(esk528_0,s__RollingStock) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_15,plain,
    ! [X7093,X7094,X7095] :
      ( X7094 = X7095
      | ~ s__instance(X7095,s__RollingStock)
      | ~ s__instance(X7094,s__RollingStock)
      | ~ s__instance(X7093,s__Train) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).

cnf(c_0_16,negated_conjecture,
    esk1_0 != s__Nucleus14_1,
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( s__instance(esk527_0,s__RollingStock)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_13,c_0_13]) ).

cnf(c_0_18,plain,
    ( s__instance(esk528_0,s__RollingStock)
    | X1 = s__UnionFn(s__Train,X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_10]) ).

cnf(c_0_19,plain,
    ( ~ s__instance(X3,s__RollingStock)
    | ~ s__instance(X2,s__RollingStock)
    | ~ s__instance(X1,s__Train)
    | X2 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_20,negated_conjecture,
    s__instance(esk527_0,s__RollingStock),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_21,plain,
    ( s__instance(esk528_0,s__RollingStock)
    | X1 = X2 ),
    inference(spm,[status(thm)],[c_0_18,c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ s__instance(X2,s__Train)
    | ~ s__instance(X1,s__RollingStock)
    | X1 = esk527_0 ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_23,negated_conjecture,
    s__instance(esk528_0,s__RollingStock),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_21])]) ).

cnf(c_0_24,plain,
    ( ~ s__instance(X1,s__Train)
    | esk527_0 != esk528_0 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_25,negated_conjecture,
    ~ s__instance(X1,s__Train),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).

cnf(c_0_26,negated_conjecture,
    X1 = s__UnionFn(s__Train,X2),
    inference(spm,[status(thm)],[c_0_25,c_0_10]) ).

cnf(c_0_27,negated_conjecture,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_26,c_0_26]) ).

cnf(c_0_28,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_16,c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR087+6 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.08  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/5.52  % Computer : n016.cluster.edu
% 0.19/5.52  % Model    : x86_64 x86_64
% 0.19/5.52  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.52  % Memory   : 8046.5625MB
% 0.19/5.52  % OS       : Linux 6.8.0-71-generic
% 0.19/5.52  % CPULimit : 300
% 0.19/5.52  % WCLimit  : 300
% 0.19/5.52  % DateTime : Mon Sep 21 14:57:44 UTC 2026
% 0.19/5.52  % CPUTime  : 
% 0.19/5.52  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.19/5.56  Running first-order theorem proving
% 0.19/5.56  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.26/13.72  % Version: 3.5.1
% 0.26/13.72  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.26/13.72  % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 0.26/13.72  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 0.26/13.72  % Starting new_bool_3 with 299s (1) cores
% 0.26/13.72  % Starting new_bool_1 with 299s (1) cores
% 0.26/13.72  % Starting sh5l with 299s (1) cores
% 0.26/13.72  % sh5l with pid 2689047 completed with status 0
% 0.26/13.72  % Result found by sh5l
% 0.26/13.72  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.26/13.72  % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 0.26/13.72  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 0.26/13.72  % Starting new_bool_3 with 299s (1) cores
% 0.26/13.72  % Starting new_bool_1 with 299s (1) cores
% 0.26/13.72  % Starting sh5l with 299s (1) cores
% 0.26/13.72  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.26/13.72  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.26/13.72  % Search class: FGHSM-SMLM32-MFFFFFNN
% 0.26/13.72  % Scheduled 13 strats onto 1 cores with 298 seconds (298 total)
% 0.26/13.72  % Starting SubtermCWHack with 27s (1) cores
% 0.26/13.72  % SubtermCWHack with pid 2689059 completed with status 0
% 0.26/13.72  % Result found by SubtermCWHack
% 0.26/13.72  % Preprocessing class: FMLLSMSLSSSNFFN.
% 0.26/13.72  % Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 0.26/13.72  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1495s (5) cores
% 0.26/13.72  % Starting new_bool_3 with 299s (1) cores
% 0.26/13.72  % Starting new_bool_1 with 299s (1) cores
% 0.26/13.72  % Starting sh5l with 299s (1) cores
% 0.26/13.72  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.26/13.72  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.26/13.72  % Search class: FGHSM-SMLM32-MFFFFFNN
% 0.26/13.72  % Scheduled 13 strats onto 1 cores with 298 seconds (298 total)
% 0.26/13.72  % Starting SubtermCWHack with 27s (1) cores
% 0.26/13.72  % Preprocessing time       : 0.352 s
% 0.26/13.72  
% 0.26/13.72  % Proof found!
% 0.26/13.72  % SZS status Theorem
% 0.26/13.72  % SZS output start CNFRefutation
% See solution above
% 0.26/13.72  % Parsed axioms                        : 55590
% 0.26/13.72  % Removed by relevancy pruning/SinE    : 50754
% 0.26/13.72  % Initial clauses                      : 8271
% 0.26/13.72  % Removed in clause preprocessing      : 343
% 0.26/13.72  % Initial clauses in saturation        : 7928
% 0.26/13.72  % Processed clauses                    : 6109
% 0.26/13.72  % ...of these trivial                  : 868
% 0.26/13.72  % ...subsumed                          : 376
% 0.26/13.72  % ...remaining for further processing  : 4865
% 0.26/13.72  % Other redundant clauses eliminated   : 183
% 0.26/13.72  % Clauses deleted for lack of memory   : 0
% 0.26/13.72  % Backward-subsumed                    : 283
% 0.26/13.72  % Backward-rewritten                   : 771
% 0.26/13.72  % Generated clauses                    : 107719
% 0.26/13.72  % ...of the previous two non-redundant : 92290
% 0.26/13.72  % ...aggressively subsumed             : 0
% 0.26/13.72  % Contextual simplify-reflections      : 7
% 0.26/13.72  % Paramodulations                      : 107515
% 0.26/13.72  % Factorizations                       : 0
% 0.26/13.72  % NegExts                              : 0
% 0.26/13.72  % Equation resolutions                 : 184
% 0.26/13.72  % Disequality decompositions           : 0
% 0.26/13.72  % Total rewrite steps                  : 2313
% 0.26/13.72  % ...of those cached                   : 1043
% 0.26/13.72  % Propositional unsat checks           : 0
% 0.26/13.72  %    Propositional check models        : 0
% 0.26/13.72  %    Propositional check unsatisfiable : 0
% 0.26/13.72  %    Propositional clauses             : 0
% 0.26/13.72  %    Propositional clauses after purity: 0
% 0.26/13.72  %    Propositional unsat core size     : 0
% 0.26/13.72  %    Propositional preprocessing time  : 0.000
% 0.26/13.72  %    Propositional encoding time       : 0.000
% 0.26/13.72  %    Propositional solver time         : 0.000
% 0.26/13.72  %    Success case prop preproc time    : 0.000
% 0.26/13.72  %    Success case prop encoding time   : 0.000
% 0.26/13.72  %    Success case prop solver time     : 0.000
% 0.26/13.72  % Current number of processed clauses  : 3776
% 0.26/13.72  %    Positive orientable unit clauses  : 2347
% 0.26/13.72  %    Positive unorientable unit clauses: 1
% 0.26/13.72  %    Negative unit clauses             : 4
% 0.26/13.72  %    Non-unit-clauses                  : 1424
% 0.26/13.72  % Current number of unprocessed clauses: 35419
% 0.26/13.72  % ...number of literals in the above   : 135082
% 0.26/13.72  % Current number of archived formulas  : 0
% 0.26/13.72  % Current number of archived clauses   : 1074
% 0.26/13.72  % Clause-clause subsumption calls (NU) : 412799
% 0.26/13.72  % Rec. Clause-clause subsumption calls : 376337
% 0.26/13.72  % Non-unit clause-clause subsumptions  : 392
% 0.26/13.72  % Unit Clause-clause subsumption calls : 209399
% 0.26/13.72  % Rewrite failures with RHS unbound    : 7759
% 0.26/13.72  % BW rewrite match attempts            : 21376
% 0.26/13.72  % BW rewrite match successes           : 8320
% 0.26/13.72  % Condensation attempts                : 0
% 0.26/13.72  % Condensation successes               : 0
% 0.26/13.72  % Termbank termtop insertions          : 1887581
% 0.26/13.72  % Search garbage collected termcells   : 386699
% 0.26/13.72  
% 0.26/13.72  % -------------------------------------------------
% 0.26/13.72  % User time                : 5.001 s
% 0.26/13.72  % System time              : 0.727 s
% 0.26/13.72  % Total time               : 5.728 s
% 0.26/13.72  % Maximum resident set size: 142608 pages
% 0.26/13.72  
% 0.26/13.72  % -------------------------------------------------
% 0.26/13.72  % User time                : 6.885 s
% 0.26/13.72  % System time              : 0.857 s
% 0.26/13.72  % Total time               : 7.741 s
% 0.26/13.72  % Maximum resident set size: 64000 pages
% 0.26/13.72  % E exiting
%------------------------------------------------------------------------------