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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : CSR215+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/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 12:17:45 PM UTC 2026

% Result   : Theorem 1.12s 1.13s
% Output   : CNFRefutation 1.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   65 (  26 unt;   0 def)
%            Number of atoms       :  932 (   5 equ)
%            Maximal formula atoms :  149 (  14 avg)
%            Number of connectives : 1132 ( 265   ~; 530   |; 258   &)
%                                         (  11 <=>;  68  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   47 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-4 aty)
%            Number of functors    :   25 (  25 usr;  11 con; 0-4 aty)
%            Number of variables   :  205 (   5 sgn 166   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(predefinitionsA8,axiom,
    ! [X1,X2,X3] :
      ( ( p__d__subclass(X2,X3)
        & p__d__subclass(X1,X2) )
     => p__d__subclass(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',predefinitionsA8) ).

fof(mergeA353,axiom,
    p__d__subclass(c__RelationalAttribute,c__Attribute),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',mergeA353) ).

fof(mergeA3437,axiom,
    p__d__subclass(c__PositionalAttribute,c__RelationalAttribute),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',mergeA3437) ).

fof(antonymPattern10007,conjecture,
    ! [X1,X2] :
      ( ( p__d__instance(X2,c__Object)
        & p__d__instance(X1,c__Object) )
     => ( ( p__attribute(X2,c__South)
          & p__attribute(X1,c__North) )
       => X1 != X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antonymPattern10007) ).

fof(predefinitionsA12,axiom,
    ! [X1,X2,X3] :
      ( ( p__d__subclass(X2,X3)
        & p__d__instance(X1,X2) )
     => p__d__instance(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',predefinitionsA12) ).

fof(mergeA3438,axiom,
    p__d__subclass(c__DirectionalAttribute,c__PositionalAttribute),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',mergeA3438) ).

fof(mergeA90,axiom,
    ( ! [X8,X9,X10,X11] :
        ( ( p__d__instance(X8,c__Attribute)
          & p__d__instance(X9,c__Attribute)
          & p__d__instance(X10,c__Attribute)
          & p__d__instance(X11,c__Attribute) )
       => ( p__contraryAttribute4(X8,X9,X10,X11)
        <=> ( ! [X27] :
                ( ( p__attribute(X27,X11)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X10) )
            & ! [X27] :
                ( ( p__attribute(X27,X10)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X11) )
            & ! [X27] :
                ( ( p__attribute(X27,X11)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X9) )
            & ! [X27] :
                ( ( p__attribute(X27,X9)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X11) )
            & ! [X27] :
                ( ( p__attribute(X27,X10)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X9) )
            & ! [X27] :
                ( ( p__attribute(X27,X9)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X10) )
            & ! [X27] :
                ( ( p__attribute(X27,X11)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X8) )
            & ! [X27] :
                ( ( p__attribute(X27,X8)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X11) )
            & ! [X27] :
                ( ( p__attribute(X27,X10)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X8) )
            & ! [X27] :
                ( ( p__attribute(X27,X8)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X10) )
            & ! [X27] :
                ( ( p__attribute(X27,X9)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X8) )
            & ! [X27] :
                ( ( p__attribute(X27,X8)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X9) ) ) ) )
    & ! [X8,X9] :
        ( ( p__d__instance(X8,c__Attribute)
          & p__d__instance(X9,c__Attribute) )
       => ( p__contraryAttribute2(X8,X9)
        <=> ( ! [X27] :
                ( ( p__attribute(X27,X9)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X8) )
            & ! [X27] :
                ( ( p__attribute(X27,X8)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X9) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',mergeA90) ).

fof(typeA68,axiom,
    ! [X1038,X1039] :
      ( p__attribute(X1038,X1039)
     => ( p__d__instance(X1038,c__Object)
        & p__d__instance(X1039,c__Attribute) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',typeA68) ).

fof(mergeA3445,axiom,
    p__d__instance(c__West,c__DirectionalAttribute),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',mergeA3445) ).

fof(mergeA3444,axiom,
    p__d__instance(c__East,c__DirectionalAttribute),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',mergeA3444) ).

fof(mergeA3441,axiom,
    p__contraryAttribute4(c__North,c__South,c__East,c__West),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',mergeA3441) ).

fof(c_0_11,plain,
    ! [X1079,X1080,X1081] :
      ( p__d__subclass(X1079,X1081)
      | ~ p__d__subclass(X1080,X1081)
      | ~ p__d__subclass(X1079,X1080) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[predefinitionsA8])])]) ).

cnf(c_0_12,plain,
    ( ~ p__d__subclass(X2,X3)
    | ~ p__d__subclass(X1,X2)
    | p__d__subclass(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_13,plain,
    p__d__subclass(c__RelationalAttribute,c__Attribute),
    inference(split_conjunct,[status(thm)],[mergeA353]) ).

cnf(c_0_14,plain,
    p__d__subclass(c__PositionalAttribute,c__RelationalAttribute),
    inference(split_conjunct,[status(thm)],[mergeA3437]) ).

fof(c_0_15,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( p__d__instance(X2,c__Object)
          & p__d__instance(X1,c__Object) )
       => ( ( p__attribute(X2,c__South)
            & p__attribute(X1,c__North) )
         => X1 != X2 ) ),
    inference(assume_negation,[status(cth)],[antonymPattern10007]) ).

cnf(c_0_16,plain,
    ( ~ p__d__subclass(X1,c__RelationalAttribute)
    | p__d__subclass(X1,c__Attribute) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    ( ~ p__d__subclass(X1,c__PositionalAttribute)
    | p__d__subclass(X1,c__RelationalAttribute) ),
    inference(spm,[status(thm)],[c_0_12,c_0_14]) ).

fof(c_0_18,negated_conjecture,
    ~ ! [X1,X2] :
        ( ( p__d__instance(X2,c__Object)
          & p__d__instance(X1,c__Object) )
       => ( ( p__attribute(X2,c__South)
            & p__attribute(X1,c__North) )
         => X1 != X2 ) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_19,plain,
    ! [X8,X9,X11,X10] :
      ( epred4_4(X10,X11,X9,X8)
    <=> ( ! [X27] :
            ( ( p__attribute(X27,X11)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X10) )
        & ! [X27] :
            ( ( p__attribute(X27,X10)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X11) )
        & ! [X27] :
            ( ( p__attribute(X27,X11)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X9) )
        & ! [X27] :
            ( ( p__attribute(X27,X9)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X11) )
        & ! [X27] :
            ( ( p__attribute(X27,X10)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X9) )
        & ! [X27] :
            ( ( p__attribute(X27,X9)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X10) )
        & ! [X27] :
            ( ( p__attribute(X27,X11)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X11) )
        & ! [X27] :
            ( ( p__attribute(X27,X10)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X10) )
        & ! [X27] :
            ( ( p__attribute(X27,X9)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X9) ) ) ),
    introduced(definition) ).

fof(c_0_20,plain,
    ! [X1084,X1085,X1086] :
      ( p__d__instance(X1084,X1086)
      | ~ p__d__subclass(X1085,X1086)
      | ~ p__d__instance(X1084,X1085) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[predefinitionsA12])])]) ).

cnf(c_0_21,plain,
    ( ~ p__d__subclass(X1,c__PositionalAttribute)
    | p__d__subclass(X1,c__Attribute) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,plain,
    p__d__subclass(c__DirectionalAttribute,c__PositionalAttribute),
    inference(split_conjunct,[status(thm)],[mergeA3438]) ).

fof(c_0_23,negated_conjecture,
    ( esk1_0 = esk2_0
    & p__attribute(esk2_0,c__South)
    & p__attribute(esk1_0,c__North)
    & p__d__instance(esk2_0,c__Object)
    & p__d__instance(esk1_0,c__Object) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).

fof(c_0_24,plain,
    ! [X8,X9,X10,X11] :
      ( epred3_4(X11,X10,X9,X8)
    <=> ( ! [X27] :
            ( ( p__attribute(X27,X9)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X11) )
        & ! [X27] :
            ( ( p__attribute(X27,X10)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X9) )
        & ! [X27] :
            ( ( p__attribute(X27,X9)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X10) )
        & ! [X27] :
            ( ( p__attribute(X27,X11)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X11) )
        & ! [X27] :
            ( ( p__attribute(X27,X10)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X10) )
        & ! [X27] :
            ( ( p__attribute(X27,X9)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X9) ) ) ),
    introduced(definition) ).

fof(c_0_25,plain,
    ( ! [X8,X9,X10,X11] :
        ( ( p__d__instance(X8,c__Attribute)
          & p__d__instance(X9,c__Attribute)
          & p__d__instance(X10,c__Attribute)
          & p__d__instance(X11,c__Attribute) )
       => ( p__contraryAttribute4(X8,X9,X10,X11)
        <=> epred4_4(X10,X11,X9,X8) ) )
    & ! [X8,X9] :
        ( ( p__d__instance(X8,c__Attribute)
          & p__d__instance(X9,c__Attribute) )
       => ( p__contraryAttribute2(X8,X9)
        <=> ( ! [X27] :
                ( ( p__attribute(X27,X9)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X8) )
            & ! [X27] :
                ( ( p__attribute(X27,X8)
                  & p__d__instance(X27,c__Object) )
               => ~ p__attribute(X27,X9) ) ) ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[mergeA90]),c_0_19]) ).

cnf(c_0_26,plain,
    ( ~ p__d__subclass(X2,X3)
    | ~ p__d__instance(X1,X2)
    | p__d__instance(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    p__d__subclass(c__DirectionalAttribute,c__Attribute),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

fof(c_0_28,plain,
    ! [X1072,X1073] :
      ( ( ~ p__attribute(X1072,X1073)
        | p__d__instance(X1072,c__Object) )
      & ( ~ p__attribute(X1072,X1073)
        | p__d__instance(X1073,c__Attribute) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[typeA68])])])]) ).

cnf(c_0_29,negated_conjecture,
    p__attribute(esk2_0,c__South),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_30,negated_conjecture,
    esk1_0 = esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_31,plain,
    ! [X11,X10,X9,X8] :
      ( epred2_4(X8,X10,X11,X9)
    <=> ( ! [X27] :
            ( ( p__attribute(X27,X11)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X11) )
        & ! [X27] :
            ( ( p__attribute(X27,X10)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X10) )
        & ! [X27] :
            ( ( p__attribute(X27,X9)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X9) ) ) ),
    introduced(definition) ).

fof(c_0_32,plain,
    ! [X8,X9,X11,X10] :
      ( epred4_4(X10,X11,X9,X8)
    <=> ( ! [X27] :
            ( ( p__attribute(X27,X11)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X10) )
        & ! [X27] :
            ( ( p__attribute(X27,X10)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X11) )
        & ! [X27] :
            ( ( p__attribute(X27,X11)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X9) )
        & epred3_4(X11,X10,X9,X8) ) ),
    inference(apply_def,[status(thm)],[c_0_19,c_0_24]) ).

fof(c_0_33,plain,
    ! [X1048,X1049,X1050,X1051,X1054,X1055,X1056,X1057] :
      ( ( ~ p__d__instance(X1054,c__Attribute)
        | ~ p__d__instance(X1055,c__Attribute)
        | ~ p__d__instance(X1056,c__Attribute)
        | ~ p__d__instance(X1057,c__Attribute)
        | p__contraryAttribute4(X1054,X1055,X1056,X1057)
        | ~ epred4_4(X1056,X1057,X1055,X1054) )
      & ( ~ p__d__instance(X1054,c__Attribute)
        | ~ p__d__instance(X1055,c__Attribute)
        | ~ p__d__instance(X1056,c__Attribute)
        | ~ p__d__instance(X1057,c__Attribute)
        | epred4_4(X1056,X1057,X1055,X1054)
        | ~ p__contraryAttribute4(X1054,X1055,X1056,X1057) )
      & ( ~ p__d__instance(X1048,c__Attribute)
        | ~ p__d__instance(X1049,c__Attribute)
        | p__contraryAttribute2(X1048,X1049)
        | p__attribute(esk3_2(X1048,X1049),X1049)
        | p__attribute(esk4_2(X1048,X1049),X1048) )
      & ( ~ p__d__instance(X1048,c__Attribute)
        | ~ p__d__instance(X1049,c__Attribute)
        | p__contraryAttribute2(X1048,X1049)
        | p__attribute(esk3_2(X1048,X1049),X1049)
        | p__attribute(esk4_2(X1048,X1049),X1049) )
      & ( ~ p__d__instance(X1048,c__Attribute)
        | ~ p__d__instance(X1049,c__Attribute)
        | p__contraryAttribute2(X1048,X1049)
        | p__attribute(esk3_2(X1048,X1049),X1049)
        | p__d__instance(esk4_2(X1048,X1049),c__Object) )
      & ( ~ p__d__instance(X1048,c__Attribute)
        | ~ p__d__instance(X1049,c__Attribute)
        | p__contraryAttribute2(X1048,X1049)
        | p__attribute(esk3_2(X1048,X1049),X1048)
        | p__attribute(esk4_2(X1048,X1049),X1048) )
      & ( ~ p__d__instance(X1048,c__Attribute)
        | ~ p__d__instance(X1049,c__Attribute)
        | p__contraryAttribute2(X1048,X1049)
        | p__attribute(esk3_2(X1048,X1049),X1048)
        | p__attribute(esk4_2(X1048,X1049),X1049) )
      & ( ~ p__d__instance(X1048,c__Attribute)
        | ~ p__d__instance(X1049,c__Attribute)
        | p__contraryAttribute2(X1048,X1049)
        | p__attribute(esk3_2(X1048,X1049),X1048)
        | p__d__instance(esk4_2(X1048,X1049),c__Object) )
      & ( ~ p__d__instance(X1048,c__Attribute)
        | ~ p__d__instance(X1049,c__Attribute)
        | p__contraryAttribute2(X1048,X1049)
        | p__d__instance(esk3_2(X1048,X1049),c__Object)
        | p__attribute(esk4_2(X1048,X1049),X1048) )
      & ( ~ p__d__instance(X1048,c__Attribute)
        | ~ p__d__instance(X1049,c__Attribute)
        | p__contraryAttribute2(X1048,X1049)
        | p__d__instance(esk3_2(X1048,X1049),c__Object)
        | p__attribute(esk4_2(X1048,X1049),X1049) )
      & ( ~ p__d__instance(X1048,c__Attribute)
        | ~ p__d__instance(X1049,c__Attribute)
        | p__contraryAttribute2(X1048,X1049)
        | p__d__instance(esk3_2(X1048,X1049),c__Object)
        | p__d__instance(esk4_2(X1048,X1049),c__Object) )
      & ( ~ p__d__instance(X1048,c__Attribute)
        | ~ p__d__instance(X1049,c__Attribute)
        | ~ p__contraryAttribute2(X1048,X1049)
        | ~ p__attribute(X1051,X1048)
        | ~ p__attribute(X1051,X1049)
        | ~ p__d__instance(X1051,c__Object) )
      & ( ~ p__d__instance(X1048,c__Attribute)
        | ~ p__d__instance(X1049,c__Attribute)
        | ~ p__contraryAttribute2(X1048,X1049)
        | ~ p__attribute(X1050,X1049)
        | ~ p__attribute(X1050,X1048)
        | ~ p__d__instance(X1050,c__Object) ) ),
    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)],[c_0_25])])])])])]) ).

cnf(c_0_34,plain,
    ( ~ p__d__instance(X1,c__DirectionalAttribute)
    | p__d__instance(X1,c__Attribute) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_35,plain,
    p__d__instance(c__West,c__DirectionalAttribute),
    inference(split_conjunct,[status(thm)],[mergeA3445]) ).

cnf(c_0_36,plain,
    p__d__instance(c__East,c__DirectionalAttribute),
    inference(split_conjunct,[status(thm)],[mergeA3444]) ).

cnf(c_0_37,plain,
    ( ~ p__attribute(X2,X1)
    | p__d__instance(X1,c__Attribute) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_38,negated_conjecture,
    p__attribute(esk1_0,c__South),
    inference(rw,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_39,negated_conjecture,
    p__attribute(esk1_0,c__North),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

fof(c_0_40,plain,
    ! [X8,X9,X10] :
      ( epred1_3(X10,X9,X8)
    <=> ( ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X10) )
        & ! [X27] :
            ( ( p__attribute(X27,X9)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X9) ) ) ),
    introduced(definition) ).

fof(c_0_41,plain,
    ! [X8,X9,X10,X11] :
      ( epred3_4(X11,X10,X9,X8)
    <=> ( ! [X27] :
            ( ( p__attribute(X27,X9)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X11) )
        & ! [X27] :
            ( ( p__attribute(X27,X10)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X9) )
        & ! [X27] :
            ( ( p__attribute(X27,X9)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X10) )
        & epred2_4(X8,X10,X11,X9) ) ),
    inference(apply_def,[status(thm)],[c_0_24,c_0_31]) ).

fof(c_0_42,plain,
    ! [X1139,X1140,X1141,X1142,X1143,X1144,X1145,X1146,X1147,X1148,X1149] :
      ( ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1147)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1149) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1147)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1148) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1147)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1148)
        | p__d__instance(esk17_4(X1146,X1147,X1148,X1149),c__Object) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1147)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1149)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1149) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1147)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1149)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1148) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1147)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1149)
        | p__d__instance(esk17_4(X1146,X1147,X1148,X1149),c__Object) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1147)
        | p__d__instance(esk16_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1149) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1147)
        | p__d__instance(esk16_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1148) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1147)
        | p__d__instance(esk16_4(X1146,X1147,X1148,X1149),c__Object)
        | p__d__instance(esk17_4(X1146,X1147,X1148,X1149),c__Object) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1149) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1148) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1148)
        | p__d__instance(esk17_4(X1146,X1147,X1148,X1149),c__Object) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1149)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1149) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1149)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1148) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1149)
        | p__d__instance(esk17_4(X1146,X1147,X1148,X1149),c__Object) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1148)
        | p__d__instance(esk16_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1149) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1148)
        | p__d__instance(esk16_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1148) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__attribute(esk15_4(X1146,X1147,X1148,X1149),X1148)
        | p__d__instance(esk16_4(X1146,X1147,X1148,X1149),c__Object)
        | p__d__instance(esk17_4(X1146,X1147,X1148,X1149),c__Object) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__d__instance(esk15_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1149) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__d__instance(esk15_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1148)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1148) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__d__instance(esk15_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1148)
        | p__d__instance(esk17_4(X1146,X1147,X1148,X1149),c__Object) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__d__instance(esk15_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1149)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1149) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__d__instance(esk15_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1149)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1148) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__d__instance(esk15_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk16_4(X1146,X1147,X1148,X1149),X1149)
        | p__d__instance(esk17_4(X1146,X1147,X1148,X1149),c__Object) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__d__instance(esk15_4(X1146,X1147,X1148,X1149),c__Object)
        | p__d__instance(esk16_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1149) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__d__instance(esk15_4(X1146,X1147,X1148,X1149),c__Object)
        | p__d__instance(esk16_4(X1146,X1147,X1148,X1149),c__Object)
        | p__attribute(esk17_4(X1146,X1147,X1148,X1149),X1148) )
      & ( epred4_4(X1149,X1148,X1147,X1146)
        | ~ epred3_4(X1148,X1149,X1147,X1146)
        | p__d__instance(esk15_4(X1146,X1147,X1148,X1149),c__Object)
        | p__d__instance(esk16_4(X1146,X1147,X1148,X1149),c__Object)
        | p__d__instance(esk17_4(X1146,X1147,X1148,X1149),c__Object) )
      & ( ~ epred4_4(X1142,X1141,X1140,X1139)
        | ~ p__attribute(X1145,X1142)
        | ~ p__attribute(X1145,X1141)
        | ~ p__d__instance(X1145,c__Object) )
      & ( ~ epred4_4(X1142,X1141,X1140,X1139)
        | ~ p__attribute(X1144,X1141)
        | ~ p__attribute(X1144,X1142)
        | ~ p__d__instance(X1144,c__Object) )
      & ( ~ epred4_4(X1142,X1141,X1140,X1139)
        | ~ p__attribute(X1143,X1140)
        | ~ p__attribute(X1143,X1141)
        | ~ p__d__instance(X1143,c__Object) )
      & ( ~ epred4_4(X1142,X1141,X1140,X1139)
        | epred3_4(X1141,X1142,X1140,X1139) ) ),
    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_32])])])])])])]) ).

cnf(c_0_43,plain,
    ( ~ p__d__instance(X1,c__Attribute)
    | ~ p__d__instance(X2,c__Attribute)
    | ~ p__d__instance(X3,c__Attribute)
    | ~ p__d__instance(X4,c__Attribute)
    | ~ p__contraryAttribute4(X1,X2,X3,X4)
    | epred4_4(X3,X4,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_44,plain,
    p__contraryAttribute4(c__North,c__South,c__East,c__West),
    inference(split_conjunct,[status(thm)],[mergeA3441]) ).

cnf(c_0_45,plain,
    p__d__instance(c__West,c__Attribute),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_46,plain,
    p__d__instance(c__East,c__Attribute),
    inference(spm,[status(thm)],[c_0_34,c_0_36]) ).

cnf(c_0_47,negated_conjecture,
    p__d__instance(c__South,c__Attribute),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_48,negated_conjecture,
    p__d__instance(c__North,c__Attribute),
    inference(spm,[status(thm)],[c_0_37,c_0_39]) ).

fof(c_0_49,plain,
    ! [X11,X10,X9,X8] :
      ( epred2_4(X8,X10,X11,X9)
    <=> ( ! [X27] :
            ( ( p__attribute(X27,X11)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & ! [X27] :
            ( ( p__attribute(X27,X8)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X11) )
        & ! [X27] :
            ( ( p__attribute(X27,X10)
              & p__d__instance(X27,c__Object) )
           => ~ p__attribute(X27,X8) )
        & epred1_3(X10,X9,X8) ) ),
    inference(apply_def,[status(thm)],[c_0_31,c_0_40]) ).

fof(c_0_50,plain,
    ! [X1125,X1126,X1127,X1128,X1129,X1130,X1131,X1132,X1133,X1134,X1135] :
      ( ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1135) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1133) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1133)
        | p__d__instance(esk14_4(X1132,X1133,X1134,X1135),c__Object) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1135) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1133) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1134)
        | p__d__instance(esk14_4(X1132,X1133,X1134,X1135),c__Object) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1134)
        | p__d__instance(esk13_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1135) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1134)
        | p__d__instance(esk13_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1133) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1134)
        | p__d__instance(esk13_4(X1132,X1133,X1134,X1135),c__Object)
        | p__d__instance(esk14_4(X1132,X1133,X1134,X1135),c__Object) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1135) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1133) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1133)
        | p__d__instance(esk14_4(X1132,X1133,X1134,X1135),c__Object) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1135) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1133) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1134)
        | p__d__instance(esk14_4(X1132,X1133,X1134,X1135),c__Object) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1133)
        | p__d__instance(esk13_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1135) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1133)
        | p__d__instance(esk13_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1133) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__attribute(esk12_4(X1132,X1133,X1134,X1135),X1133)
        | p__d__instance(esk13_4(X1132,X1133,X1134,X1135),c__Object)
        | p__d__instance(esk14_4(X1132,X1133,X1134,X1135),c__Object) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__d__instance(esk12_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1135) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__d__instance(esk12_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1133)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1133) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__d__instance(esk12_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1133)
        | p__d__instance(esk14_4(X1132,X1133,X1134,X1135),c__Object) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__d__instance(esk12_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1135) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__d__instance(esk12_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1134)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1133) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__d__instance(esk12_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk13_4(X1132,X1133,X1134,X1135),X1134)
        | p__d__instance(esk14_4(X1132,X1133,X1134,X1135),c__Object) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__d__instance(esk12_4(X1132,X1133,X1134,X1135),c__Object)
        | p__d__instance(esk13_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1135) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__d__instance(esk12_4(X1132,X1133,X1134,X1135),c__Object)
        | p__d__instance(esk13_4(X1132,X1133,X1134,X1135),c__Object)
        | p__attribute(esk14_4(X1132,X1133,X1134,X1135),X1133) )
      & ( epred3_4(X1135,X1134,X1133,X1132)
        | ~ epred2_4(X1132,X1134,X1135,X1133)
        | p__d__instance(esk12_4(X1132,X1133,X1134,X1135),c__Object)
        | p__d__instance(esk13_4(X1132,X1133,X1134,X1135),c__Object)
        | p__d__instance(esk14_4(X1132,X1133,X1134,X1135),c__Object) )
      & ( ~ epred3_4(X1128,X1127,X1126,X1125)
        | ~ p__attribute(X1131,X1128)
        | ~ p__attribute(X1131,X1126)
        | ~ p__d__instance(X1131,c__Object) )
      & ( ~ epred3_4(X1128,X1127,X1126,X1125)
        | ~ p__attribute(X1130,X1126)
        | ~ p__attribute(X1130,X1127)
        | ~ p__d__instance(X1130,c__Object) )
      & ( ~ epred3_4(X1128,X1127,X1126,X1125)
        | ~ p__attribute(X1129,X1127)
        | ~ p__attribute(X1129,X1126)
        | ~ p__d__instance(X1129,c__Object) )
      & ( ~ epred3_4(X1128,X1127,X1126,X1125)
        | epred2_4(X1125,X1127,X1128,X1126) ) ),
    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_41])])])])])])]) ).

cnf(c_0_51,plain,
    ( ~ epred4_4(X2,X1,X3,X4)
    | epred3_4(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_52,plain,
    epred4_4(c__East,c__West,c__South,c__North),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_48])]) ).

fof(c_0_53,plain,
    ! [X1099,X1100,X1101,X1102,X1103,X1104,X1105,X1106,X1107] :
      ( ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1107) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1105) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1105)
        | p__d__instance(esk8_3(X1105,X1106,X1107),c__Object) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1107) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1105) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1106)
        | p__d__instance(esk8_3(X1105,X1106,X1107),c__Object) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1106)
        | p__d__instance(esk7_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1107) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1106)
        | p__d__instance(esk7_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1105) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1106)
        | p__d__instance(esk7_3(X1105,X1106,X1107),c__Object)
        | p__d__instance(esk8_3(X1105,X1106,X1107),c__Object) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1107) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1105) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1105)
        | p__d__instance(esk8_3(X1105,X1106,X1107),c__Object) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1107) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1105) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1106)
        | p__d__instance(esk8_3(X1105,X1106,X1107),c__Object) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1105)
        | p__d__instance(esk7_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1107) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1105)
        | p__d__instance(esk7_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1105) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__attribute(esk6_3(X1105,X1106,X1107),X1105)
        | p__d__instance(esk7_3(X1105,X1106,X1107),c__Object)
        | p__d__instance(esk8_3(X1105,X1106,X1107),c__Object) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__d__instance(esk6_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1107) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__d__instance(esk6_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1105)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1105) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__d__instance(esk6_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1105)
        | p__d__instance(esk8_3(X1105,X1106,X1107),c__Object) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__d__instance(esk6_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1107) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__d__instance(esk6_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1106)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1105) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__d__instance(esk6_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk7_3(X1105,X1106,X1107),X1106)
        | p__d__instance(esk8_3(X1105,X1106,X1107),c__Object) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__d__instance(esk6_3(X1105,X1106,X1107),c__Object)
        | p__d__instance(esk7_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1107) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__d__instance(esk6_3(X1105,X1106,X1107),c__Object)
        | p__d__instance(esk7_3(X1105,X1106,X1107),c__Object)
        | p__attribute(esk8_3(X1105,X1106,X1107),X1105) )
      & ( epred1_3(X1107,X1106,X1105)
        | p__d__instance(esk6_3(X1105,X1106,X1107),c__Object)
        | p__d__instance(esk7_3(X1105,X1106,X1107),c__Object)
        | p__d__instance(esk8_3(X1105,X1106,X1107),c__Object) )
      & ( ~ epred1_3(X1101,X1100,X1099)
        | ~ p__attribute(X1104,X1101)
        | ~ p__attribute(X1104,X1099)
        | ~ p__d__instance(X1104,c__Object) )
      & ( ~ epred1_3(X1101,X1100,X1099)
        | ~ p__attribute(X1103,X1099)
        | ~ p__attribute(X1103,X1100)
        | ~ p__d__instance(X1103,c__Object) )
      & ( ~ epred1_3(X1101,X1100,X1099)
        | ~ p__attribute(X1102,X1100)
        | ~ p__attribute(X1102,X1099)
        | ~ p__d__instance(X1102,c__Object) ) ),
    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_40])])])])])])]) ).

fof(c_0_54,plain,
    ! [X1111,X1112,X1113,X1114,X1115,X1116,X1117,X1118,X1119,X1120,X1121] :
      ( ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1118)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1121) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1118)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1118) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1118)
        | p__d__instance(esk11_4(X1118,X1119,X1120,X1121),c__Object) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1121) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1118) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1121)
        | p__d__instance(esk11_4(X1118,X1119,X1120,X1121),c__Object) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1121)
        | p__d__instance(esk10_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1121) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1121)
        | p__d__instance(esk10_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1118) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1121)
        | p__d__instance(esk10_4(X1118,X1119,X1120,X1121),c__Object)
        | p__d__instance(esk11_4(X1118,X1119,X1120,X1121),c__Object) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1119)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1118)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1121) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1119)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1118)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1118) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1119)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1118)
        | p__d__instance(esk11_4(X1118,X1119,X1120,X1121),c__Object) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1119)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1121) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1119)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1118) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1119)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1121)
        | p__d__instance(esk11_4(X1118,X1119,X1120,X1121),c__Object) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1119)
        | p__d__instance(esk10_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1121) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1119)
        | p__d__instance(esk10_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1118) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__attribute(esk9_4(X1118,X1119,X1120,X1121),X1119)
        | p__d__instance(esk10_4(X1118,X1119,X1120,X1121),c__Object)
        | p__d__instance(esk11_4(X1118,X1119,X1120,X1121),c__Object) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__d__instance(esk9_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1118)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1121) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__d__instance(esk9_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1118)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1118) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__d__instance(esk9_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1118)
        | p__d__instance(esk11_4(X1118,X1119,X1120,X1121),c__Object) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__d__instance(esk9_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1121) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__d__instance(esk9_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1121)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1118) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__d__instance(esk9_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk10_4(X1118,X1119,X1120,X1121),X1121)
        | p__d__instance(esk11_4(X1118,X1119,X1120,X1121),c__Object) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__d__instance(esk9_4(X1118,X1119,X1120,X1121),c__Object)
        | p__d__instance(esk10_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1121) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__d__instance(esk9_4(X1118,X1119,X1120,X1121),c__Object)
        | p__d__instance(esk10_4(X1118,X1119,X1120,X1121),c__Object)
        | p__attribute(esk11_4(X1118,X1119,X1120,X1121),X1118) )
      & ( epred2_4(X1121,X1119,X1118,X1120)
        | ~ epred1_3(X1119,X1120,X1121)
        | p__d__instance(esk9_4(X1118,X1119,X1120,X1121),c__Object)
        | p__d__instance(esk10_4(X1118,X1119,X1120,X1121),c__Object)
        | p__d__instance(esk11_4(X1118,X1119,X1120,X1121),c__Object) )
      & ( ~ epred2_4(X1114,X1112,X1111,X1113)
        | ~ p__attribute(X1117,X1114)
        | ~ p__attribute(X1117,X1111)
        | ~ p__d__instance(X1117,c__Object) )
      & ( ~ epred2_4(X1114,X1112,X1111,X1113)
        | ~ p__attribute(X1116,X1111)
        | ~ p__attribute(X1116,X1114)
        | ~ p__d__instance(X1116,c__Object) )
      & ( ~ epred2_4(X1114,X1112,X1111,X1113)
        | ~ p__attribute(X1115,X1114)
        | ~ p__attribute(X1115,X1112)
        | ~ p__d__instance(X1115,c__Object) )
      & ( ~ epred2_4(X1114,X1112,X1111,X1113)
        | epred1_3(X1112,X1113,X1114) ) ),
    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_49])])])])])])]) ).

cnf(c_0_55,plain,
    ( ~ epred3_4(X3,X2,X4,X1)
    | epred2_4(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_56,plain,
    epred3_4(c__West,c__East,c__South,c__North),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_57,plain,
    ( ~ epred1_3(X4,X3,X2)
    | ~ p__attribute(X1,X3)
    | ~ p__attribute(X1,X2)
    | ~ p__d__instance(X1,c__Object) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_58,plain,
    ( ~ p__attribute(X1,X2)
    | p__d__instance(X1,c__Object) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_59,plain,
    ( ~ epred2_4(X3,X1,X4,X2)
    | epred1_3(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_60,plain,
    epred2_4(c__North,c__East,c__West,c__South),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

cnf(c_0_61,plain,
    ( ~ p__attribute(X4,X3)
    | ~ p__attribute(X4,X2)
    | ~ epred1_3(X1,X2,X3) ),
    inference(csr,[status(thm)],[c_0_57,c_0_58]) ).

cnf(c_0_62,plain,
    epred1_3(c__East,c__South,c__North),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_63,plain,
    ( ~ p__attribute(X1,c__North)
    | ~ p__attribute(X1,c__South) ),
    inference(spm,[status(thm)],[c_0_61,c_0_62]) ).

cnf(c_0_64,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_38]),c_0_39])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : CSR215+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.45  % Computer : n016.cluster.edu
% 0.17/0.45  % Model    : x86_64 x86_64
% 0.17/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45  % Memory   : 8046.5625MB
% 0.17/0.45  % OS       : Linux 6.8.0-71-generic
% 0.17/0.45  % CPULimit : 300
% 0.17/0.45  % WCLimit  : 300
% 0.17/0.45  % DateTime : Mon Sep 21 15:22:23 UTC 2026
% 0.17/0.46  % CPUTime  : 
% 0.17/0.46  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.53  Running first-order theorem proving
% 0.22/0.53  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
% 1.12/1.13  % Version: 3.5.1
% 1.12/1.13  % Preprocessing class: FMLLSMSLSSSNFFN.
% 1.12/1.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.12/1.13  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.12/1.13  % Starting new_bool_3 with 300s (1) cores
% 1.12/1.13  % Starting new_bool_1 with 300s (1) cores
% 1.12/1.13  % Starting sh5l with 300s (1) cores
% 1.12/1.13  % new_bool_3 with pid 2731847 completed with status 0
% 1.12/1.13  % Result found by new_bool_3
% 1.12/1.13  % Preprocessing class: FMLLSMSLSSSNFFN.
% 1.12/1.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.12/1.13  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.12/1.13  % Starting new_bool_3 with 300s (1) cores
% 1.12/1.13  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.12/1.13  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.12/1.13  % Search class: FGHSF-FSLM33-SFFFFFNN
% 1.12/1.13  % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 1.12/1.13  % Starting SubtermCWHack with 28s (1) cores
% 1.12/1.13  % SubtermCWHack with pid 2731850 completed with status 0
% 1.12/1.13  % Result found by SubtermCWHack
% 1.12/1.13  % Preprocessing class: FMLLSMSLSSSNFFN.
% 1.12/1.13  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.12/1.13  % Starting G-E--_208_B07_F1_AE_CS_SP_PS_S0Y with 1500s (5) cores
% 1.12/1.13  % Starting new_bool_3 with 300s (1) cores
% 1.12/1.13  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 1.12/1.13  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 1.12/1.13  % Search class: FGHSF-FSLM33-SFFFFFNN
% 1.12/1.13  % Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 1.12/1.13  % Starting SubtermCWHack with 28s (1) cores
% 1.12/1.13  % Preprocessing time       : 0.012 s
% 1.12/1.13  
% 1.12/1.13  % Proof found!
% 1.12/1.13  % SZS status Theorem
% 1.12/1.13  % SZS output start CNFRefutation
% See solution above
% 1.12/1.13  % Parsed axioms                        : 7433
% 1.12/1.13  % Removed by relevancy pruning/SinE    : 7400
% 1.12/1.13  % Initial clauses                      : 183
% 1.12/1.13  % Removed in clause preprocessing      : 0
% 1.12/1.13  % Initial clauses in saturation        : 183
% 1.12/1.13  % Processed clauses                    : 584
% 1.12/1.13  % ...of these trivial                  : 2
% 1.12/1.13  % ...subsumed                          : 112
% 1.12/1.13  % ...remaining for further processing  : 470
% 1.12/1.13  % Other redundant clauses eliminated   : 0
% 1.12/1.13  % Clauses deleted for lack of memory   : 0
% 1.12/1.13  % Backward-subsumed                    : 15
% 1.12/1.13  % Backward-rewritten                   : 0
% 1.12/1.13  % Generated clauses                    : 1035
% 1.12/1.13  % ...of the previous two non-redundant : 940
% 1.12/1.13  % ...aggressively subsumed             : 0
% 1.12/1.13  % Contextual simplify-reflections      : 34
% 1.12/1.13  % Paramodulations                      : 1035
% 1.12/1.13  % Factorizations                       : 0
% 1.12/1.13  % NegExts                              : 0
% 1.12/1.13  % Equation resolutions                 : 0
% 1.12/1.13  % Disequality decompositions           : 0
% 1.12/1.13  % Total rewrite steps                  : 218
% 1.12/1.13  % ...of those cached                   : 204
% 1.12/1.13  % Propositional unsat checks           : 0
% 1.12/1.13  %    Propositional check models        : 0
% 1.12/1.13  %    Propositional check unsatisfiable : 0
% 1.12/1.13  %    Propositional clauses             : 0
% 1.12/1.13  %    Propositional clauses after purity: 0
% 1.12/1.13  %    Propositional unsat core size     : 0
% 1.12/1.13  %    Propositional preprocessing time  : 0.000
% 1.12/1.13  %    Propositional encoding time       : 0.000
% 1.12/1.13  %    Propositional solver time         : 0.000
% 1.12/1.13  %    Success case prop preproc time    : 0.000
% 1.12/1.13  %    Success case prop encoding time   : 0.000
% 1.12/1.13  %    Success case prop solver time     : 0.000
% 1.12/1.13  % Current number of processed clauses  : 455
% 1.12/1.13  %    Positive orientable unit clauses  : 32
% 1.12/1.13  %    Positive unorientable unit clauses: 0
% 1.12/1.13  %    Negative unit clauses             : 0
% 1.12/1.13  %    Non-unit-clauses                  : 423
% 1.12/1.13  % Current number of unprocessed clauses: 497
% 1.12/1.13  % ...number of literals in the above   : 2052
% 1.12/1.13  % Current number of archived formulas  : 0
% 1.12/1.13  % Current number of archived clauses   : 15
% 1.12/1.13  % Clause-clause subsumption calls (NU) : 32559
% 1.12/1.13  % Rec. Clause-clause subsumption calls : 8715
% 1.12/1.13  % Non-unit clause-clause subsumptions  : 161
% 1.12/1.13  % Unit Clause-clause subsumption calls : 267
% 1.12/1.13  % Rewrite failures with RHS unbound    : 0
% 1.12/1.13  % BW rewrite match attempts            : 3
% 1.12/1.13  % BW rewrite match successes           : 0
% 1.12/1.13  % Condensation attempts                : 0
% 1.12/1.13  % Condensation successes               : 0
% 1.12/1.13  % Termbank termtop insertions          : 91881
% 1.12/1.13  % Search garbage collected termcells   : 45005
% 1.12/1.13  
% 1.12/1.13  % -------------------------------------------------
% 1.12/1.13  % User time                : 0.151 s
% 1.12/1.13  % System time              : 0.060 s
% 1.12/1.13  % Total time               : 0.212 s
% 1.12/1.13  % Maximum resident set size: 20132 pages
% 1.12/1.13  
% 1.12/1.13  % -------------------------------------------------
% 1.12/1.13  % User time                : 0.449 s
% 1.12/1.13  % System time              : 0.082 s
% 1.12/1.13  % Total time               : 0.531 s
% 1.12/1.13  % Maximum resident set size: 12800 pages
% 1.12/1.13  % E exiting
%------------------------------------------------------------------------------