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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR110+1 : TPTP v9.2.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:15:24 PM UTC 2026

% Result   : Unsatisfiable 7.80s 10.97s
% Output   : CNFRefutation 7.80s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   81 (  30 unt;   0 def)
%            Number of atoms       :  236 (  30 equ)
%            Maximal formula atoms :   45 (   2 avg)
%            Number of connectives :  253 (  98   ~; 106   |;  31   &)
%                                         (   4 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  14 con; 0-3 aty)
%            Number of variables   :  128 (  41 sgn  46   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_1053,axiom,
    ! [X48] :
      ( ( s__instance(X48,s__Function)
        & s__instance(X48,s__SetOrClass) )
     => ~ s__range(X48,X48) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_1053) ).

fof(kb_SUMO_3328,axiom,
    s__instance(s__LeastCommonMultipleFn__m,s__Function),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3328) ).

fof(kb_SUMO_3489,axiom,
    ! [X169,X170] :
      ( ! [X49] :
          ( ( s__instance(X170,s__Set)
            & s__instance(X169,s__Set) )
         => ( s__element(X49,X170)
          <=> s__element(X49,X169) ) )
     => X170 = X169 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3489) ).

fof(kb_SUMO_26,axiom,
    ! [X6,X7] :
      ( s__subclass(X6,X7)
     => ( s__instance(X6,s__SetOrClass)
        & s__instance(X7,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_26) ).

fof(kb_SUMO_3496,axiom,
    ! [X171,X172,X173] :
      ( X172 = s__UnionFn(X173,X171)
    <=> ! [X174,X175,X176] :
          ( ( s__instance(X173,s__SetOrClass)
            & s__instance(X172,s__SetOrClass)
            & s__instance(X171,s__SetOrClass) )
         => ( ( s__instance(X174,X173)
              & s__instance(X175,X171)
              & s__instance(X176,X172) )
           => ( s__instance(X174,X172)
              & s__instance(X175,X172)
              & ( s__instance(X176,X173)
                | s__instance(X176,X171) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3496) ).

fof(kb_SUMO_6733,axiom,
    s__range(s__GovernmentFn__m,s__Government),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_6733) ).

fof(kb_SUMO_6727,axiom,
    s__subclass(s__Government,s__LegalAgent),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_6727) ).

fof(kb_SUMO_3533,axiom,
    ! [X168] :
      ( s__instance(X168,s__SetOrClass)
     => ( s__instance(X168,s__NullSet)
       => ~ ? [X48] : s__instance(X48,X168) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3533) ).

fof(kb_SUMO_928,axiom,
    s__subclass(s__Set,s__SetOrClass),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_928) ).

fof(kb_SUMO_276,axiom,
    ! [X9,X10] :
      ( s__disjoint(X9,X10)
    <=> ! [X48] :
          ( ( s__instance(X10,s__SetOrClass)
            & s__instance(X9,s__SetOrClass) )
         => ~ ( s__instance(X48,X9)
              & s__instance(X48,X10) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_276) ).

fof(kb_SUMO_504,axiom,
    ! [X1] :
      ( s__instance(X1,s__SetOrClass)
     => ( s__instance(X1,s__Class)
      <=> s__subclass(X1,s__Entity) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_504) ).

fof(kb_SUMO_987,axiom,
    ! [X48] :
      ( s__instance(X48,s__SetOrClass)
     => s__subclass(X48,X48) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_987) ).

fof(kb_SUMO_505,axiom,
    s__subclass(s__Physical,s__Entity),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_505) ).

fof(kb_SUMO_502,axiom,
    ! [X26] : s__instance(X26,s__Entity),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_502) ).

fof(kb_SUMO_3537,axiom,
    ! [X168] :
      ( s__instance(X168,s__SetOrClass)
     => ( s__instance(X168,s__NonNullSet)
       => ? [X48] : s__instance(X48,X168) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3537) ).

fof(kb_SUMO_1,axiom,
    s__instance(s__instance__m,s__BinaryPredicate),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_1) ).

fof(c_0_16,plain,
    ! [X48] :
      ( ( s__instance(X48,s__Function)
        & s__instance(X48,s__SetOrClass) )
     => ~ s__range(X48,X48) ),
    inference(fof_simplification,[status(thm)],[kb_SUMO_1053]) ).

fof(c_0_17,plain,
    ! [X10126] :
      ( ~ s__instance(X10126,s__Function)
      | ~ s__instance(X10126,s__SetOrClass)
      | ~ s__range(X10126,X10126) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])]) ).

cnf(c_0_18,plain,
    ( ~ s__instance(X1,s__Function)
    | ~ s__instance(X1,s__SetOrClass)
    | ~ s__range(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_19,plain,
    s__instance(s__LeastCommonMultipleFn__m,s__Function),
    inference(split_conjunct,[status(thm)],[kb_SUMO_3328]) ).

fof(c_0_20,plain,
    ! [X13917,X13918] :
      ( ( s__instance(X13918,s__Set)
        | X13918 = X13917 )
      & ( s__instance(X13917,s__Set)
        | X13918 = X13917 )
      & ( ~ s__element(esk157_2(X13917,X13918),X13918)
        | ~ s__element(esk157_2(X13917,X13918),X13917)
        | X13918 = X13917 )
      & ( s__element(esk157_2(X13917,X13918),X13918)
        | s__element(esk157_2(X13917,X13918),X13917)
        | X13918 = X13917 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3489])])])])]) ).

fof(c_0_21,plain,
    ! [X8100,X8101] :
      ( ( s__instance(X8100,s__SetOrClass)
        | ~ s__subclass(X8100,X8101) )
      & ( s__instance(X8101,s__SetOrClass)
        | ~ s__subclass(X8100,X8101) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26])])]) ).

fof(c_0_22,plain,
    ! [X13920,X13921,X13922,X13923,X13924,X13925,X13926,X13927,X13928] :
      ( ( s__instance(X13923,X13921)
        | ~ s__instance(X13923,X13922)
        | ~ s__instance(X13924,X13920)
        | ~ s__instance(X13925,X13921)
        | ~ s__instance(X13922,s__SetOrClass)
        | ~ s__instance(X13921,s__SetOrClass)
        | ~ s__instance(X13920,s__SetOrClass)
        | X13921 != s__UnionFn(X13922,X13920) )
      & ( s__instance(X13924,X13921)
        | ~ s__instance(X13923,X13922)
        | ~ s__instance(X13924,X13920)
        | ~ s__instance(X13925,X13921)
        | ~ s__instance(X13922,s__SetOrClass)
        | ~ s__instance(X13921,s__SetOrClass)
        | ~ s__instance(X13920,s__SetOrClass)
        | X13921 != s__UnionFn(X13922,X13920) )
      & ( s__instance(X13925,X13922)
        | s__instance(X13925,X13920)
        | ~ s__instance(X13923,X13922)
        | ~ s__instance(X13924,X13920)
        | ~ s__instance(X13925,X13921)
        | ~ s__instance(X13922,s__SetOrClass)
        | ~ s__instance(X13921,s__SetOrClass)
        | ~ s__instance(X13920,s__SetOrClass)
        | X13921 != s__UnionFn(X13922,X13920) )
      & ( s__instance(X13928,s__SetOrClass)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( s__instance(X13927,s__SetOrClass)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( s__instance(X13926,s__SetOrClass)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( s__instance(esk158_3(X13926,X13927,X13928),X13928)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( s__instance(esk159_3(X13926,X13927,X13928),X13926)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( s__instance(esk160_3(X13926,X13927,X13928),X13927)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( ~ s__instance(esk160_3(X13926,X13927,X13928),X13928)
        | ~ s__instance(esk158_3(X13926,X13927,X13928),X13927)
        | ~ s__instance(esk159_3(X13926,X13927,X13928),X13927)
        | X13927 = s__UnionFn(X13928,X13926) )
      & ( ~ s__instance(esk160_3(X13926,X13927,X13928),X13926)
        | ~ s__instance(esk158_3(X13926,X13927,X13928),X13927)
        | ~ s__instance(esk159_3(X13926,X13927,X13928),X13927)
        | X13927 = s__UnionFn(X13928,X13926) ) ),
    inference(distribute,[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_3496])])])])])]) ).

cnf(c_0_23,plain,
    ( ~ s__range(s__LeastCommonMultipleFn__m,s__LeastCommonMultipleFn__m)
    | ~ s__instance(s__LeastCommonMultipleFn__m,s__SetOrClass) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    ( s__instance(X1,s__Set)
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,plain,
    s__range(s__GovernmentFn__m,s__Government),
    inference(split_conjunct,[status(thm)],[kb_SUMO_6733]) ).

cnf(c_0_26,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_27,plain,
    s__subclass(s__Government,s__LegalAgent),
    inference(split_conjunct,[status(thm)],[kb_SUMO_6727]) ).

fof(c_0_28,plain,
    ! [X13932,X13933] :
      ( ~ s__instance(X13932,s__SetOrClass)
      | ~ s__instance(X13932,s__NullSet)
      | ~ s__instance(X13933,X13932) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3533])])]) ).

cnf(c_0_29,plain,
    ( s__instance(X1,s__SetOrClass)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_30,plain,
    ( s__instance(X1,s__Set)
    | ~ s__range(X1,X1)
    | ~ s__instance(X1,s__SetOrClass) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_31,plain,
    ( s__range(X1,s__Government)
    | s__instance(X1,s__Set) ),
    inference(spm,[status(thm)],[c_0_25,c_0_24]) ).

cnf(c_0_32,plain,
    s__instance(s__Government,s__SetOrClass),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_33,plain,
    ( ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,plain,
    ( X1 = X2
    | s__instance(X3,s__SetOrClass) ),
    inference(spm,[status(thm)],[c_0_29,c_0_29]) ).

cnf(c_0_35,plain,
    s__subclass(s__Set,s__SetOrClass),
    inference(split_conjunct,[status(thm)],[kb_SUMO_928]) ).

cnf(c_0_36,plain,
    s__instance(s__Government,s__Set),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_37,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__instance(X2,s__SetOrClass)
    | ~ s__instance(X2,X3)
    | ~ s__instance(X4,X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    s__instance(s__Set,s__SetOrClass),
    inference(spm,[status(thm)],[c_0_26,c_0_35]) ).

cnf(c_0_39,plain,
    s__instance(X1,s__Set),
    inference(spm,[status(thm)],[c_0_36,c_0_24]) ).

cnf(c_0_40,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__instance(s__Set,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).

cnf(c_0_41,plain,
    s__instance(X1,s__SetOrClass),
    inference(spm,[status(thm)],[c_0_40,c_0_39]) ).

fof(c_0_42,plain,
    ! [X9010,X9011,X9012,X9013,X9014] :
      ( ( ~ s__disjoint(X9010,X9011)
        | ~ s__instance(X9011,s__SetOrClass)
        | ~ s__instance(X9010,s__SetOrClass)
        | ~ s__instance(X9012,X9010)
        | ~ s__instance(X9012,X9011) )
      & ( s__instance(X9014,s__SetOrClass)
        | s__disjoint(X9013,X9014) )
      & ( s__instance(X9013,s__SetOrClass)
        | s__disjoint(X9013,X9014) )
      & ( s__instance(esk1_2(X9013,X9014),X9013)
        | s__disjoint(X9013,X9014) )
      & ( s__instance(esk1_2(X9013,X9014),X9014)
        | s__disjoint(X9013,X9014) ) ),
    inference(distribute,[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_276])])])])])]) ).

cnf(c_0_43,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33,c_0_41])]) ).

cnf(c_0_44,plain,
    ( s__instance(esk1_2(X1,X2),X1)
    | s__disjoint(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_45,plain,
    ( s__disjoint(s__NullSet,X1)
    | ~ s__instance(X2,esk1_2(s__NullSet,X1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_46,plain,
    ( s__instance(esk158_3(X1,X2,X3),X3)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_47,plain,
    ! [X9823] :
      ( ( ~ s__instance(X9823,s__Class)
        | s__subclass(X9823,s__Entity)
        | ~ s__instance(X9823,s__SetOrClass) )
      & ( ~ s__subclass(X9823,s__Entity)
        | s__instance(X9823,s__Class)
        | ~ s__instance(X9823,s__SetOrClass) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_504])])]) ).

cnf(c_0_48,plain,
    ( X1 = s__UnionFn(esk1_2(s__NullSet,X2),X3)
    | s__disjoint(s__NullSet,X2) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_49,plain,
    ( s__instance(X1,s__Class)
    | ~ s__subclass(X1,s__Entity)
    | ~ s__instance(X1,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

fof(c_0_50,plain,
    ! [X10062] :
      ( ~ s__instance(X10062,s__SetOrClass)
      | s__subclass(X10062,X10062) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_987])]) ).

cnf(c_0_51,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_52,plain,
    s__subclass(s__Physical,s__Entity),
    inference(split_conjunct,[status(thm)],[kb_SUMO_505]) ).

cnf(c_0_53,plain,
    ( X1 = X2
    | s__disjoint(s__NullSet,X3) ),
    inference(spm,[status(thm)],[c_0_48,c_0_48]) ).

cnf(c_0_54,plain,
    ( s__instance(X1,s__Class)
    | ~ s__subclass(X1,s__Entity) ),
    inference(csr,[status(thm)],[c_0_49,c_0_26]) ).

cnf(c_0_55,plain,
    ( s__subclass(X1,X1)
    | ~ s__instance(X1,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_56,plain,
    s__instance(s__Entity,s__SetOrClass),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

fof(c_0_57,plain,
    ! [X9821] : s__instance(X9821,s__Entity),
    inference(variable_rename,[status(thm)],[kb_SUMO_502]) ).

cnf(c_0_58,plain,
    ( ~ s__disjoint(X1,X2)
    | ~ s__instance(X2,s__SetOrClass)
    | ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X3,X1)
    | ~ s__instance(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_59,plain,
    ( s__disjoint(s__NullSet,X1)
    | ~ s__instance(X2,X3)
    | ~ s__instance(X4,X2) ),
    inference(spm,[status(thm)],[c_0_43,c_0_53]) ).

cnf(c_0_60,plain,
    s__instance(s__Entity,s__Class),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).

cnf(c_0_61,plain,
    s__instance(X1,s__Entity),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_62,plain,
    ( ~ s__disjoint(X1,X2)
    | ~ s__instance(X3,X2)
    | ~ s__instance(X3,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_41]),c_0_41])]) ).

cnf(c_0_63,plain,
    s__disjoint(s__NullSet,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_61])]) ).

fof(c_0_64,plain,
    ! [X13934] :
      ( ~ s__instance(X13934,s__SetOrClass)
      | ~ s__instance(X13934,s__NonNullSet)
      | s__instance(esk161_1(X13934),X13934) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3537])])]) ).

cnf(c_0_65,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X1,X2) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]) ).

cnf(c_0_66,plain,
    ( s__instance(esk160_3(X1,X2,X3),X2)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_67,plain,
    ( s__instance(esk161_1(X1),X1)
    | ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X1,s__NonNullSet) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_68,plain,
    ( s__NullSet = s__UnionFn(X1,X2)
    | ~ s__instance(esk160_3(X2,s__NullSet,X1),X3) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

cnf(c_0_69,plain,
    ( s__instance(esk161_1(X1),X1)
    | ~ s__instance(X1,s__NonNullSet) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_41])]) ).

cnf(c_0_70,plain,
    ( s__instance(esk159_3(X1,X2,X3),X1)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_71,plain,
    s__NullSet = s__UnionFn(X1,X2),
    inference(spm,[status(thm)],[c_0_68,c_0_39]) ).

cnf(c_0_72,plain,
    ( ~ s__instance(esk161_1(s__NullSet),X1)
    | ~ s__instance(s__NullSet,s__NonNullSet) ),
    inference(spm,[status(thm)],[c_0_65,c_0_69]) ).

cnf(c_0_73,plain,
    ( X1 = s__NullSet
    | ~ s__instance(esk159_3(s__NullSet,X1,X2),X3) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_70]),c_0_71]) ).

cnf(c_0_74,plain,
    ~ s__instance(s__NullSet,s__NonNullSet),
    inference(spm,[status(thm)],[c_0_72,c_0_39]) ).

cnf(c_0_75,plain,
    X1 = s__NullSet,
    inference(spm,[status(thm)],[c_0_73,c_0_39]) ).

cnf(c_0_76,plain,
    ~ s__instance(X1,s__NonNullSet),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_77,plain,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_75,c_0_75]) ).

cnf(c_0_78,plain,
    s__instance(s__instance__m,s__BinaryPredicate),
    inference(split_conjunct,[status(thm)],[kb_SUMO_1]) ).

cnf(c_0_79,plain,
    ~ s__instance(X1,X2),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_80,plain,
    $false,
    inference(sr,[status(thm)],[c_0_78,c_0_79]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : CSR110+1 : TPTP v9.2.1. Bugfixed v7.3.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33  % Computer : n016.cluster.edu
% 0.16/0.33  % Model    : x86_64 x86_64
% 0.16/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33  % Memory   : 8042.1875MB
% 0.16/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33  % CPULimit   : 300
% 0.16/0.33  % WCLimit    : 300
% 0.16/0.33  % DateTime   : Mon May  4 17:02:06 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 7.80/10.97  % Version  : CSE_E---1.7
% 7.80/10.97  % Problem  : theBenchmark.p
% 7.80/10.97  % SZS status Unsatisfiable for theBenchmark.p
% 7.80/10.97  % SZS output start CNFRefutation
% See solution above
% 7.80/11.00  % Total time : 9.187s
%------------------------------------------------------------------------------