TSTP Solution File: CSR110+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : CSR110+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n022.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 : Mon May 20 19:18:43 EDT 2024

% Result   : Unsatisfiable 13.74s 3.61s
% Output   : CNFRefutation 13.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   82 (  28 unt;   0 def)
%            Number of atoms       :  254 (  33 equ)
%            Maximal formula atoms :   45 (   3 avg)
%            Number of connectives :  275 ( 103   ~; 115   |;  36   &)
%                                         (   5 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  14 con; 0-3 aty)
%            Number of variables   :  136 (  41 sgn  53   !;   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_4659,axiom,
    ! [X51] :
      ( s__instance(X51,s__SelfConnectedObject)
    <=> ! [X159,X160] :
          ( ( s__instance(X160,s__Object)
            & s__instance(X159,s__Object) )
         => ( X51 = s__MereologicalSumFn(X159,X160)
           => s__connected(X159,X160) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_4659) ).

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,
    ! [X2628] :
      ( ~ s__instance(X2628,s__Function)
      | ~ s__instance(X2628,s__SetOrClass)
      | ~ s__range(X2628,X2628) ),
    inference(fof_nnf,[status(thm)],[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,
    ! [X6419,X6420] :
      ( ( s__instance(X6420,s__Set)
        | X6420 = X6419 )
      & ( s__instance(X6419,s__Set)
        | X6420 = X6419 )
      & ( ~ s__element(esk157_2(X6419,X6420),X6420)
        | ~ s__element(esk157_2(X6419,X6420),X6419)
        | X6420 = X6419 )
      & ( s__element(esk157_2(X6419,X6420),X6420)
        | s__element(esk157_2(X6419,X6420),X6419)
        | X6420 = X6419 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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,
    ! [X602,X603] :
      ( ( s__instance(X602,s__SetOrClass)
        | ~ s__subclass(X602,X603) )
      & ( s__instance(X603,s__SetOrClass)
        | ~ s__subclass(X602,X603) ) ),
    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_22,plain,
    ! [X6422,X6423,X6424,X6425,X6426,X6427,X6428,X6429,X6430] :
      ( ( s__instance(X6425,X6423)
        | ~ s__instance(X6425,X6424)
        | ~ s__instance(X6426,X6422)
        | ~ s__instance(X6427,X6423)
        | ~ s__instance(X6424,s__SetOrClass)
        | ~ s__instance(X6423,s__SetOrClass)
        | ~ s__instance(X6422,s__SetOrClass)
        | X6423 != s__UnionFn(X6424,X6422) )
      & ( s__instance(X6426,X6423)
        | ~ s__instance(X6425,X6424)
        | ~ s__instance(X6426,X6422)
        | ~ s__instance(X6427,X6423)
        | ~ s__instance(X6424,s__SetOrClass)
        | ~ s__instance(X6423,s__SetOrClass)
        | ~ s__instance(X6422,s__SetOrClass)
        | X6423 != s__UnionFn(X6424,X6422) )
      & ( s__instance(X6427,X6424)
        | s__instance(X6427,X6422)
        | ~ s__instance(X6425,X6424)
        | ~ s__instance(X6426,X6422)
        | ~ s__instance(X6427,X6423)
        | ~ s__instance(X6424,s__SetOrClass)
        | ~ s__instance(X6423,s__SetOrClass)
        | ~ s__instance(X6422,s__SetOrClass)
        | X6423 != s__UnionFn(X6424,X6422) )
      & ( s__instance(X6430,s__SetOrClass)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( s__instance(X6429,s__SetOrClass)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( s__instance(X6428,s__SetOrClass)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( s__instance(esk158_3(X6428,X6429,X6430),X6430)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( s__instance(esk159_3(X6428,X6429,X6430),X6428)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( s__instance(esk160_3(X6428,X6429,X6430),X6429)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( ~ s__instance(esk160_3(X6428,X6429,X6430),X6430)
        | ~ s__instance(esk158_3(X6428,X6429,X6430),X6429)
        | ~ s__instance(esk159_3(X6428,X6429,X6430),X6429)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( ~ s__instance(esk160_3(X6428,X6429,X6430),X6428)
        | ~ s__instance(esk158_3(X6428,X6429,X6430),X6429)
        | ~ s__instance(esk159_3(X6428,X6429,X6430),X6429)
        | X6429 = s__UnionFn(X6430,X6428) ) ),
    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_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,
    ! [X6434,X6435] :
      ( ~ s__instance(X6434,s__SetOrClass)
      | ~ s__instance(X6434,s__NullSet)
      | ~ s__instance(X6435,X6434) ),
    inference(fof_nnf,[status(thm)],[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,
    ! [X1512,X1513,X1514,X1515,X1516] :
      ( ( ~ s__disjoint(X1512,X1513)
        | ~ s__instance(X1513,s__SetOrClass)
        | ~ s__instance(X1512,s__SetOrClass)
        | ~ s__instance(X1514,X1512)
        | ~ s__instance(X1514,X1513) )
      & ( s__instance(X1516,s__SetOrClass)
        | s__disjoint(X1515,X1516) )
      & ( s__instance(X1515,s__SetOrClass)
        | s__disjoint(X1515,X1516) )
      & ( s__instance(esk1_2(X1515,X1516),X1515)
        | s__disjoint(X1515,X1516) )
      & ( s__instance(esk1_2(X1515,X1516),X1516)
        | s__disjoint(X1515,X1516) ) ),
    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_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,
    ! [X2325] :
      ( ( ~ s__instance(X2325,s__Class)
        | s__subclass(X2325,s__Entity)
        | ~ s__instance(X2325,s__SetOrClass) )
      & ( ~ s__subclass(X2325,s__Entity)
        | s__instance(X2325,s__Class)
        | ~ s__instance(X2325,s__SetOrClass) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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,
    ! [X2564] :
      ( ~ s__instance(X2564,s__SetOrClass)
      | s__subclass(X2564,X2564) ),
    inference(fof_nnf,[status(thm)],[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,
    ! [X2323] : s__instance(X2323,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,
    ! [X6436] :
      ( ~ s__instance(X6436,s__SetOrClass)
      | ~ s__instance(X6436,s__NonNullSet)
      | s__instance(esk161_1(X6436),X6436) ),
    inference(fof_nnf,[status(thm)],[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]) ).

fof(c_0_76,plain,
    ! [X7019,X7020,X7021,X7022] :
      ( ( ~ s__instance(X7019,s__SelfConnectedObject)
        | ~ s__instance(X7021,s__Object)
        | ~ s__instance(X7020,s__Object)
        | X7019 != s__MereologicalSumFn(X7020,X7021)
        | s__connected(X7020,X7021) )
      & ( s__instance(esk215_1(X7022),s__Object)
        | s__instance(X7022,s__SelfConnectedObject) )
      & ( s__instance(esk214_1(X7022),s__Object)
        | s__instance(X7022,s__SelfConnectedObject) )
      & ( X7022 = s__MereologicalSumFn(esk214_1(X7022),esk215_1(X7022))
        | s__instance(X7022,s__SelfConnectedObject) )
      & ( ~ s__connected(esk214_1(X7022),esk215_1(X7022))
        | s__instance(X7022,s__SelfConnectedObject) ) ),
    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_4659])])])])])])]) ).

cnf(c_0_77,plain,
    ~ s__instance(X1,s__NonNullSet),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_78,plain,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_75,c_0_75]) ).

cnf(c_0_79,plain,
    ( s__instance(esk214_1(X1),s__Object)
    | s__instance(X1,s__SelfConnectedObject) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_80,plain,
    ~ s__instance(X1,X2),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_81,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_79,c_0_80]),c_0_80]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : CSR110+1 : TPTP v8.2.0. Bugfixed v7.3.0.
% 0.10/0.14  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 01:48:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.47  Running first-order model finding
% 0.21/0.47  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.74/3.61  # Version: 3.1.0
% 13.74/3.61  # Preprocessing class: FMLLSMSLSSSNFFN.
% 13.74/3.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.74/3.61  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 13.74/3.61  # Starting new_bool_3 with 300s (1) cores
% 13.74/3.61  # Starting new_bool_1 with 300s (1) cores
% 13.74/3.61  # Starting sh5l with 300s (1) cores
% 13.74/3.61  # new_bool_1 with pid 30243 completed with status 8
% 13.74/3.61  # sh5l with pid 30244 completed with status 8
% 13.74/3.61  # new_bool_3 with pid 30242 completed with status 8
% 13.74/3.61  # G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with pid 30241 completed with status 0
% 13.74/3.61  # Result found by G-E--_208_B07_F1_AE_CS_SP_PS_S0Y
% 13.74/3.61  # Preprocessing class: FMLLSMSLSSSNFFN.
% 13.74/3.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.74/3.61  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 13.74/3.61  # No SInE strategy applied
% 13.74/3.61  # Search class: FGHSM-SMLM31-MFFFFFNN
% 13.74/3.61  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 13.74/3.61  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 811s (1) cores
% 13.74/3.61  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 151s (1) cores
% 13.74/3.61  # Starting new_bool_3 with 136s (1) cores
% 13.74/3.61  # Starting new_bool_1 with 136s (1) cores
% 13.74/3.61  # Starting sh5l with 136s (1) cores
% 13.74/3.61  # C07_19_nc_SAT001_MinMin_p005000_rr with pid 30284 completed with status 0
% 13.74/3.61  # Result found by C07_19_nc_SAT001_MinMin_p005000_rr
% 13.74/3.61  # Preprocessing class: FMLLSMSLSSSNFFN.
% 13.74/3.61  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.74/3.61  # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 13.74/3.61  # No SInE strategy applied
% 13.74/3.61  # Search class: FGHSM-SMLM31-MFFFFFNN
% 13.74/3.61  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 13.74/3.61  # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 811s (1) cores
% 13.74/3.61  # Preprocessing time       : 0.105 s
% 13.74/3.61  # Presaturation interreduction done
% 13.74/3.61  
% 13.74/3.61  # Proof found!
% 13.74/3.61  # SZS status Unsatisfiable
% 13.74/3.61  # SZS output start CNFRefutation
% See solution above
% 13.74/3.61  # Parsed axioms                        : 7217
% 13.74/3.61  # Removed by relevancy pruning/SinE    : 0
% 13.74/3.61  # Initial clauses                      : 8408
% 13.74/3.61  # Removed in clause preprocessing      : 63
% 13.74/3.61  # Initial clauses in saturation        : 8345
% 13.74/3.61  # Processed clauses                    : 18221
% 13.74/3.61  # ...of these trivial                  : 936
% 13.74/3.61  # ...subsumed                          : 639
% 13.74/3.61  # ...remaining for further processing  : 16646
% 13.74/3.61  # Other redundant clauses eliminated   : 466
% 13.74/3.61  # Clauses deleted for lack of memory   : 0
% 13.74/3.61  # Backward-subsumed                    : 1868
% 13.74/3.61  # Backward-rewritten                   : 3506
% 13.74/3.61  # Generated clauses                    : 139000
% 13.74/3.61  # ...of the previous two non-redundant : 139130
% 13.74/3.61  # ...aggressively subsumed             : 0
% 13.74/3.61  # Contextual simplify-reflections      : 666
% 13.74/3.61  # Paramodulations                      : 137680
% 13.74/3.61  # Factorizations                       : 1
% 13.74/3.61  # NegExts                              : 0
% 13.74/3.61  # Equation resolutions                 : 468
% 13.74/3.61  # Disequality decompositions           : 0
% 13.74/3.61  # Total rewrite steps                  : 4974
% 13.74/3.61  # ...of those cached                   : 1461
% 13.74/3.61  # Propositional unsat checks           : 4
% 13.74/3.61  #    Propositional check models        : 3
% 13.74/3.61  #    Propositional check unsatisfiable : 0
% 13.74/3.61  #    Propositional clauses             : 0
% 13.74/3.61  #    Propositional clauses after purity: 0
% 13.74/3.61  #    Propositional unsat core size     : 0
% 13.74/3.61  #    Propositional preprocessing time  : 0.000
% 13.74/3.61  #    Propositional encoding time       : 0.082
% 13.74/3.61  #    Propositional solver time         : 0.074
% 13.74/3.61  #    Success case prop preproc time    : 0.000
% 13.74/3.61  #    Success case prop encoding time   : 0.000
% 13.74/3.61  #    Success case prop solver time     : 0.000
% 13.74/3.61  # Current number of processed clauses  : 2005
% 13.74/3.61  #    Positive orientable unit clauses  : 1916
% 13.74/3.61  #    Positive unorientable unit clauses: 1
% 13.74/3.61  #    Negative unit clauses             : 11
% 13.74/3.61  #    Non-unit-clauses                  : 77
% 13.74/3.61  # Current number of unprocessed clauses: 79585
% 13.74/3.61  # ...number of literals in the above   : 162665
% 13.74/3.61  # Current number of archived formulas  : 0
% 13.74/3.61  # Current number of archived clauses   : 14386
% 13.74/3.61  # Clause-clause subsumption calls (NU) : 3423945
% 13.74/3.61  # Rec. Clause-clause subsumption calls : 952506
% 13.74/3.61  # Non-unit clause-clause subsumptions  : 1311
% 13.74/3.61  # Unit Clause-clause subsumption calls : 251017
% 13.74/3.61  # Rewrite failures with RHS unbound    : 2996
% 13.74/3.61  # BW rewrite match attempts            : 24505
% 13.74/3.61  # BW rewrite match successes           : 7265
% 13.74/3.61  # Condensation attempts                : 0
% 13.74/3.61  # Condensation successes               : 0
% 13.74/3.61  # Termbank termtop insertions          : 1555929
% 13.74/3.61  # Search garbage collected termcells   : 89720
% 13.74/3.61  
% 13.74/3.61  # -------------------------------------------------
% 13.74/3.61  # User time                : 2.833 s
% 13.74/3.61  # System time              : 0.124 s
% 13.74/3.61  # Total time               : 2.957 s
% 13.74/3.61  # Maximum resident set size: 29632 pages
% 13.74/3.61  
% 13.74/3.61  # -------------------------------------------------
% 13.74/3.61  # User time                : 13.031 s
% 13.74/3.61  # System time              : 0.441 s
% 13.74/3.61  # Total time               : 13.472 s
% 13.74/3.61  # Maximum resident set size: 9056 pages
% 13.74/3.61  % E---3.1 exiting
%------------------------------------------------------------------------------