TSTP Solution File: KRS155+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : KRS155+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n027.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  : 600s
% DateTime : Sun Jul 17 02:59:57 EDT 2022

% Result   : Theorem 0.23s 1.40s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  100 (  43 unt;   0 def)
%            Number of atoms       :  400 (   0 equ)
%            Maximal formula atoms :   38 (   4 avg)
%            Number of connectives :  514 ( 214   ~; 211   |;  74   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  10 con; 0-1 aty)
%            Number of variables   :   92 (  16 sgn  55   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(the_axiom,conjecture,
    ( ! [X1] :
        ( cowlThing(X1)
        & ~ cowlNothing(X1) )
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & cC20(iV8467)
    & cC4(iV8467)
    & cC8(iV8467)
    & cC82(iV8467)
    & cC62(iV8467)
    & cC14(iV8467)
    & cC34(iV8467)
    & cC10(iV8467)
    & cowlThing(iV8467)
    & cC48(iV8467)
    & cowlThing(iV8471)
    & cC80(iV8471)
    & cC58(iV8472)
    & cC60(iV8472)
    & cowlThing(iV8472) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',the_axiom) ).

fof(axiom_0,axiom,
    ! [X1] :
      ( cowlThing(X1)
      & ~ cowlNothing(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_0) ).

fof(axiom_80,axiom,
    ! [X1] :
      ( cC80(X1)
    <=> ( cC78xcomp(X1)
        & cC2xcomp(X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_80) ).

fof(axiom_61,axiom,
    ! [X1] :
      ( cC60(X1)
    <=> ( cC2xcomp(X1)
        & cC58(X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_61) ).

fof(axiom_2,axiom,
    ! [X1] :
      ( cC10(X1)
    <=> ( cC4(X1)
        & cC8(X1) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_2) ).

fof(axiom_1,axiom,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_1) ).

fof(axiom_82,axiom,
    ! [X1] :
      ( cC82(X1)
    <=> ? [X2] :
          ( rR1(X1,X2)
          & cC80(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_82) ).

fof(axiom_118,axiom,
    cC78xcomp(iV8471),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_118) ).

fof(axiom_119,axiom,
    cC2xcomp(iV8471),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_119) ).

fof(axiom_57,axiom,
    ! [X1] :
      ( cC58(X1)
    <=> ? [X2] :
          ( rR1(X1,X2)
          & cC2(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_57) ).

fof(axiom_103,axiom,
    rR1(iV8467,iV8471),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_103) ).

fof(axiom_5,axiom,
    ! [X1] :
      ( cC14(X1)
    <=> ? [X2] :
          ( rR1(X1,X2)
          & cTOP(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_5) ).

fof(axiom_44,axiom,
    ! [X1] :
      ( cC48(X1)
    <=> ? [X2] :
          ( rR1(X1,X2)
          & cC2xcomp(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_44) ).

fof(axiom_29,axiom,
    ! [X1] :
      ( cC34(X1)
    <=> ? [X2] :
          ( rR1(X1,X2)
          & cC32xcomp(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_29) ).

fof(axiom_13,axiom,
    ! [X1] :
      ( cC20(X1)
    <=> ? [X2] :
          ( rR1(X1,X2)
          & cC2xcomp(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_13) ).

fof(axiom_79,axiom,
    ! [X1] :
      ( cC8(X1)
    <=> ? [X2] :
          ( rR1(X1,X2)
          & cC6xcomp(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_79) ).

fof(axiom_35,axiom,
    ! [X1] :
      ( cC4(X1)
    <=> ? [X2] :
          ( rR1(X1,X2)
          & cC2xcomp(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_35) ).

fof(axiom_124,axiom,
    rR1(iV8472,iV8476),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_124) ).

fof(axiom_132,axiom,
    cC2(iV8476),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_132) ).

fof(axiom_104,axiom,
    rR1(iV8467,iV8470),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_104) ).

fof(axiom_116,axiom,
    cTOP(iV8470),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_116) ).

fof(axiom_110,axiom,
    rR1(iV8467,iV8472),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_110) ).

fof(axiom_122,axiom,
    cC2xcomp(iV8472),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_122) ).

fof(axiom_106,axiom,
    rR1(iV8467,iV8474),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_106) ).

fof(axiom_127,axiom,
    cC32xcomp(iV8474),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_127) ).

fof(axiom_105,axiom,
    rR1(iV8467,iV8469),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_105) ).

fof(axiom_113,axiom,
    cC6xcomp(iV8469),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_113) ).

fof(axiom_62,axiom,
    ! [X1] :
      ( cC62(X1)
    <=> ? [X2] :
          ( rR1(X1,X2)
          & cC60(X2) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',axiom_62) ).

fof(c_0_28,negated_conjecture,
    ~ ( ! [X1] :
          ( cowlThing(X1)
          & ~ cowlNothing(X1) )
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & cC20(iV8467)
      & cC4(iV8467)
      & cC8(iV8467)
      & cC82(iV8467)
      & cC62(iV8467)
      & cC14(iV8467)
      & cC34(iV8467)
      & cC10(iV8467)
      & cowlThing(iV8467)
      & cC48(iV8467)
      & cowlThing(iV8471)
      & cC80(iV8471)
      & cC58(iV8472)
      & cC60(iV8472)
      & cowlThing(iV8472) ),
    inference(assume_negation,[status(cth)],[the_axiom]) ).

fof(c_0_29,negated_conjecture,
    ( ( ~ xsd_string(esk82_0)
      | xsd_integer(esk82_0)
      | ~ cowlThing(esk80_0)
      | cowlNothing(esk81_0)
      | ~ cC20(iV8467)
      | ~ cC4(iV8467)
      | ~ cC8(iV8467)
      | ~ cC82(iV8467)
      | ~ cC62(iV8467)
      | ~ cC14(iV8467)
      | ~ cC34(iV8467)
      | ~ cC10(iV8467)
      | ~ cowlThing(iV8467)
      | ~ cC48(iV8467)
      | ~ cowlThing(iV8471)
      | ~ cC80(iV8471)
      | ~ cC58(iV8472)
      | ~ cC60(iV8472)
      | ~ cowlThing(iV8472) )
    & ( xsd_string(esk82_0)
      | ~ xsd_integer(esk82_0)
      | ~ cowlThing(esk80_0)
      | cowlNothing(esk81_0)
      | ~ cC20(iV8467)
      | ~ cC4(iV8467)
      | ~ cC8(iV8467)
      | ~ cC82(iV8467)
      | ~ cC62(iV8467)
      | ~ cC14(iV8467)
      | ~ cC34(iV8467)
      | ~ cC10(iV8467)
      | ~ cowlThing(iV8467)
      | ~ cC48(iV8467)
      | ~ cowlThing(iV8471)
      | ~ cC80(iV8471)
      | ~ cC58(iV8472)
      | ~ cC60(iV8472)
      | ~ cowlThing(iV8472) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_28])])])])])])]) ).

fof(c_0_30,plain,
    ! [X2,X2] :
      ( cowlThing(X2)
      & ~ cowlNothing(X2) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_0])])])]) ).

fof(c_0_31,plain,
    ! [X2,X2] :
      ( ( cC78xcomp(X2)
        | ~ cC80(X2) )
      & ( cC2xcomp(X2)
        | ~ cC80(X2) )
      & ( ~ cC78xcomp(X2)
        | ~ cC2xcomp(X2)
        | cC80(X2) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_80])])])])]) ).

cnf(c_0_32,negated_conjecture,
    ( cowlNothing(esk81_0)
    | xsd_integer(esk82_0)
    | ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing(esk80_0)
    | ~ xsd_string(esk82_0) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_33,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

fof(c_0_34,plain,
    ! [X2,X2] :
      ( ( cC2xcomp(X2)
        | ~ cC60(X2) )
      & ( cC58(X2)
        | ~ cC60(X2) )
      & ( ~ cC2xcomp(X2)
        | ~ cC58(X2)
        | cC60(X2) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])])]) ).

fof(c_0_35,plain,
    ! [X2,X2] :
      ( ( cC4(X2)
        | ~ cC10(X2) )
      & ( cC8(X2)
        | ~ cC10(X2) )
      & ( ~ cC4(X2)
        | ~ cC8(X2)
        | cC10(X2) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])])]) ).

fof(c_0_36,plain,
    ! [X2,X2] :
      ( ( ~ xsd_string(X2)
        | ~ xsd_integer(X2) )
      & ( xsd_integer(X2)
        | xsd_string(X2) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[axiom_1])])])])]) ).

fof(c_0_37,plain,
    ! [X3,X3,X5] :
      ( ( rR1(X3,esk68_1(X3))
        | ~ cC82(X3) )
      & ( cC80(esk68_1(X3))
        | ~ cC82(X3) )
      & ( ~ rR1(X3,X5)
        | ~ cC80(X5)
        | cC82(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_82])])])])])])]) ).

cnf(c_0_38,plain,
    ( cC80(X1)
    | ~ cC2xcomp(X1)
    | ~ cC78xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_39,plain,
    cC78xcomp(iV8471),
    inference(split_conjunct,[status(thm)],[axiom_118]) ).

cnf(c_0_40,plain,
    cC2xcomp(iV8471),
    inference(split_conjunct,[status(thm)],[axiom_119]) ).

fof(c_0_41,plain,
    ! [X3,X3,X5] :
      ( ( rR1(X3,esk48_1(X3))
        | ~ cC58(X3) )
      & ( cC2(esk48_1(X3))
        | ~ cC58(X3) )
      & ( ~ rR1(X3,X5)
        | ~ cC2(X5)
        | cC58(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_57])])])])])])]) ).

cnf(c_0_42,negated_conjecture,
    ( cowlNothing(esk81_0)
    | xsd_integer(esk82_0)
    | ~ xsd_string(esk82_0)
    | ~ cC10(iV8467)
    | ~ cC4(iV8467)
    | ~ cC8(iV8467)
    | ~ cC14(iV8467)
    | ~ cC20(iV8467)
    | ~ cC34(iV8467)
    | ~ cC48(iV8467)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ cC62(iV8467)
    | ~ cC80(iV8471)
    | ~ cC82(iV8467) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_33]),c_0_33]),c_0_33])]) ).

cnf(c_0_43,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_44,plain,
    ( cC58(X1)
    | ~ cC60(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_45,plain,
    ( cC8(X1)
    | ~ cC10(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_46,plain,
    ( cC4(X1)
    | ~ cC10(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_47,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_48,plain,
    ( cC82(X1)
    | ~ cC80(X2)
    | ~ rR1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_49,plain,
    rR1(iV8467,iV8471),
    inference(split_conjunct,[status(thm)],[axiom_103]) ).

cnf(c_0_50,plain,
    cC80(iV8471),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])]) ).

fof(c_0_51,plain,
    ! [X3,X3,X5] :
      ( ( rR1(X3,esk3_1(X3))
        | ~ cC14(X3) )
      & ( cTOP(esk3_1(X3))
        | ~ cC14(X3) )
      & ( ~ rR1(X3,X5)
        | ~ cTOP(X5)
        | cC14(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_5])])])])])])]) ).

fof(c_0_52,plain,
    ! [X3,X3,X5] :
      ( ( rR1(X3,esk37_1(X3))
        | ~ cC48(X3) )
      & ( cC2xcomp(esk37_1(X3))
        | ~ cC48(X3) )
      & ( ~ rR1(X3,X5)
        | ~ cC2xcomp(X5)
        | cC48(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_44])])])])])])]) ).

fof(c_0_53,plain,
    ! [X3,X3,X5] :
      ( ( rR1(X3,esk24_1(X3))
        | ~ cC34(X3) )
      & ( cC32xcomp(esk24_1(X3))
        | ~ cC34(X3) )
      & ( ~ rR1(X3,X5)
        | ~ cC32xcomp(X5)
        | cC34(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_29])])])])])])]) ).

fof(c_0_54,plain,
    ! [X3,X3,X5] :
      ( ( rR1(X3,esk10_1(X3))
        | ~ cC20(X3) )
      & ( cC2xcomp(esk10_1(X3))
        | ~ cC20(X3) )
      & ( ~ rR1(X3,X5)
        | ~ cC2xcomp(X5)
        | cC20(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_13])])])])])])]) ).

fof(c_0_55,plain,
    ! [X3,X3,X5] :
      ( ( rR1(X3,esk66_1(X3))
        | ~ cC8(X3) )
      & ( cC6xcomp(esk66_1(X3))
        | ~ cC8(X3) )
      & ( ~ rR1(X3,X5)
        | ~ cC6xcomp(X5)
        | cC8(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_79])])])])])])]) ).

fof(c_0_56,plain,
    ! [X3,X3,X5] :
      ( ( rR1(X3,esk30_1(X3))
        | ~ cC4(X3) )
      & ( cC2xcomp(esk30_1(X3))
        | ~ cC4(X3) )
      & ( ~ rR1(X3,X5)
        | ~ cC2xcomp(X5)
        | cC4(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_35])])])])])])]) ).

cnf(c_0_57,plain,
    ( cC58(X1)
    | ~ cC2(X2)
    | ~ rR1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_58,plain,
    rR1(iV8472,iV8476),
    inference(split_conjunct,[status(thm)],[axiom_124]) ).

cnf(c_0_59,plain,
    cC2(iV8476),
    inference(split_conjunct,[status(thm)],[axiom_132]) ).

cnf(c_0_60,negated_conjecture,
    ( cowlNothing(esk81_0)
    | xsd_string(esk82_0)
    | ~ cowlThing(iV8472)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC80(iV8471)
    | ~ cowlThing(iV8471)
    | ~ cC48(iV8467)
    | ~ cowlThing(iV8467)
    | ~ cC10(iV8467)
    | ~ cC34(iV8467)
    | ~ cC14(iV8467)
    | ~ cC62(iV8467)
    | ~ cC82(iV8467)
    | ~ cC8(iV8467)
    | ~ cC4(iV8467)
    | ~ cC20(iV8467)
    | ~ cowlThing(esk80_0)
    | ~ xsd_integer(esk82_0) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_61,negated_conjecture,
    ( xsd_integer(esk82_0)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC10(iV8467) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_42,c_0_43]),c_0_44]),c_0_45]),c_0_46]),c_0_47]) ).

cnf(c_0_62,plain,
    cC82(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_50])]) ).

cnf(c_0_63,plain,
    ( cC14(X1)
    | ~ cTOP(X2)
    | ~ rR1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_64,plain,
    rR1(iV8467,iV8470),
    inference(split_conjunct,[status(thm)],[axiom_104]) ).

cnf(c_0_65,plain,
    cTOP(iV8470),
    inference(split_conjunct,[status(thm)],[axiom_116]) ).

cnf(c_0_66,plain,
    ( cC48(X1)
    | ~ cC2xcomp(X2)
    | ~ rR1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_67,plain,
    rR1(iV8467,iV8472),
    inference(split_conjunct,[status(thm)],[axiom_110]) ).

cnf(c_0_68,plain,
    cC2xcomp(iV8472),
    inference(split_conjunct,[status(thm)],[axiom_122]) ).

cnf(c_0_69,plain,
    ( cC34(X1)
    | ~ cC32xcomp(X2)
    | ~ rR1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_70,plain,
    rR1(iV8467,iV8474),
    inference(split_conjunct,[status(thm)],[axiom_106]) ).

cnf(c_0_71,plain,
    cC32xcomp(iV8474),
    inference(split_conjunct,[status(thm)],[axiom_127]) ).

cnf(c_0_72,plain,
    ( cC20(X1)
    | ~ cC2xcomp(X2)
    | ~ rR1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_73,plain,
    ( cC8(X1)
    | ~ cC6xcomp(X2)
    | ~ rR1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_74,plain,
    rR1(iV8467,iV8469),
    inference(split_conjunct,[status(thm)],[axiom_105]) ).

cnf(c_0_75,plain,
    cC6xcomp(iV8469),
    inference(split_conjunct,[status(thm)],[axiom_113]) ).

cnf(c_0_76,plain,
    ( cC4(X1)
    | ~ cC2xcomp(X2)
    | ~ rR1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

fof(c_0_77,plain,
    ! [X3,X3,X5] :
      ( ( rR1(X3,esk52_1(X3))
        | ~ cC62(X3) )
      & ( cC60(esk52_1(X3))
        | ~ cC62(X3) )
      & ( ~ rR1(X3,X5)
        | ~ cC60(X5)
        | cC62(X3) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_62])])])])])])]) ).

cnf(c_0_78,plain,
    ( cC60(X1)
    | ~ cC58(X1)
    | ~ cC2xcomp(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_79,plain,
    cC58(iV8472),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).

cnf(c_0_80,negated_conjecture,
    ( cowlNothing(esk81_0)
    | xsd_string(esk82_0)
    | ~ xsd_integer(esk82_0)
    | ~ cC10(iV8467)
    | ~ cC4(iV8467)
    | ~ cC8(iV8467)
    | ~ cC14(iV8467)
    | ~ cC20(iV8467)
    | ~ cC34(iV8467)
    | ~ cC48(iV8467)
    | ~ cC58(iV8472)
    | ~ cC60(iV8472)
    | ~ cC62(iV8467)
    | ~ cC80(iV8471)
    | ~ cC82(iV8467) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_33]),c_0_33]),c_0_33]),c_0_33])]) ).

cnf(c_0_81,negated_conjecture,
    ( xsd_integer(esk82_0)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC10(iV8467) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_50])]),c_0_62])]) ).

cnf(c_0_82,plain,
    cC14(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65])]) ).

cnf(c_0_83,plain,
    cC48(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).

cnf(c_0_84,plain,
    cC34(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]) ).

cnf(c_0_85,plain,
    cC20(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_67]),c_0_68])]) ).

cnf(c_0_86,plain,
    ( cC10(X1)
    | ~ cC8(X1)
    | ~ cC4(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_87,plain,
    cC8(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_74]),c_0_75])]) ).

cnf(c_0_88,plain,
    cC4(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_67]),c_0_68])]) ).

cnf(c_0_89,plain,
    ( cC62(X1)
    | ~ cC60(X2)
    | ~ rR1(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_90,plain,
    cC60(iV8472),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_68])]) ).

cnf(c_0_91,negated_conjecture,
    ( xsd_string(esk82_0)
    | ~ cC82(iV8467)
    | ~ cC80(iV8471)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC58(iV8472)
    | ~ cC48(iV8467)
    | ~ cC34(iV8467)
    | ~ cC20(iV8467)
    | ~ cC14(iV8467)
    | ~ cC10(iV8467) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[c_0_80,c_0_43]),c_0_45]),c_0_46]),c_0_47]) ).

cnf(c_0_92,negated_conjecture,
    ( xsd_integer(esk82_0)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC10(iV8467) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_82])]),c_0_83]),c_0_84]),c_0_85])]) ).

cnf(c_0_93,plain,
    cC10(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_88])]) ).

cnf(c_0_94,plain,
    cC62(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_67]),c_0_90])]) ).

cnf(c_0_95,negated_conjecture,
    ( xsd_string(esk82_0)
    | ~ cC62(iV8467)
    | ~ cC60(iV8472)
    | ~ cC10(iV8467) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_91,c_0_50])]),c_0_62]),c_0_83]),c_0_84]),c_0_85]),c_0_82])]),c_0_44]) ).

cnf(c_0_96,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_97,negated_conjecture,
    xsd_integer(esk82_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_92,c_0_93])]),c_0_94]),c_0_90])]) ).

cnf(c_0_98,negated_conjecture,
    xsd_string(esk82_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_95,c_0_93])]),c_0_94]),c_0_90])]) ).

cnf(c_0_99,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_96,c_0_97]),c_0_98])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : KRS155+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.13/0.33  % Computer : n027.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun  7 15:03:55 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.23/1.40  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.40  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.40  # Preprocessing time       : 0.019 s
% 0.23/1.40  
% 0.23/1.40  # Failure: Out of unprocessed clauses!
% 0.23/1.40  # OLD status GaveUp
% 0.23/1.40  # Parsed axioms                        : 135
% 0.23/1.40  # Removed by relevancy pruning/SinE    : 104
% 0.23/1.40  # Initial clauses                      : 56
% 0.23/1.40  # Removed in clause preprocessing      : 6
% 0.23/1.40  # Initial clauses in saturation        : 50
% 0.23/1.40  # Processed clauses                    : 224
% 0.23/1.40  # ...of these trivial                  : 18
% 0.23/1.40  # ...subsumed                          : 14
% 0.23/1.40  # ...remaining for further processing  : 192
% 0.23/1.40  # Other redundant clauses eliminated   : 0
% 0.23/1.40  # Clauses deleted for lack of memory   : 0
% 0.23/1.40  # Backward-subsumed                    : 0
% 0.23/1.40  # Backward-rewritten                   : 2
% 0.23/1.40  # Generated clauses                    : 219
% 0.23/1.40  # ...of the previous two non-trivial   : 174
% 0.23/1.40  # Contextual simplify-reflections      : 18
% 0.23/1.40  # Paramodulations                      : 219
% 0.23/1.40  # Factorizations                       : 0
% 0.23/1.40  # Equation resolutions                 : 0
% 0.23/1.40  # Current number of processed clauses  : 190
% 0.23/1.40  #    Positive orientable unit clauses  : 16
% 0.23/1.40  #    Positive unorientable unit clauses: 0
% 0.23/1.40  #    Negative unit clauses             : 1
% 0.23/1.40  #    Non-unit-clauses                  : 173
% 0.23/1.40  # Current number of unprocessed clauses: 0
% 0.23/1.40  # ...number of literals in the above   : 0
% 0.23/1.40  # Current number of archived formulas  : 0
% 0.23/1.40  # Current number of archived clauses   : 3
% 0.23/1.40  # Clause-clause subsumption calls (NU) : 1947
% 0.23/1.40  # Rec. Clause-clause subsumption calls : 1724
% 0.23/1.40  # Non-unit clause-clause subsumptions  : 32
% 0.23/1.40  # Unit Clause-clause subsumption calls : 20
% 0.23/1.40  # Rewrite failures with RHS unbound    : 0
% 0.23/1.40  # BW rewrite match attempts            : 1
% 0.23/1.40  # BW rewrite match successes           : 1
% 0.23/1.40  # Condensation attempts                : 0
% 0.23/1.40  # Condensation successes               : 0
% 0.23/1.40  # Termbank termtop insertions          : 6191
% 0.23/1.40  
% 0.23/1.40  # -------------------------------------------------
% 0.23/1.40  # User time                : 0.029 s
% 0.23/1.40  # System time              : 0.002 s
% 0.23/1.40  # Total time               : 0.031 s
% 0.23/1.40  # Maximum resident set size: 3632 pages
% 0.23/1.40  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.23/1.40  # Preprocessing time       : 0.025 s
% 0.23/1.40  
% 0.23/1.40  # Proof found!
% 0.23/1.40  # SZS status Theorem
% 0.23/1.40  # SZS output start CNFRefutation
% See solution above
% 0.23/1.40  # Proof object total steps             : 100
% 0.23/1.40  # Proof object clause steps            : 56
% 0.23/1.40  # Proof object formula steps           : 44
% 0.23/1.40  # Proof object conjectures             : 15
% 0.23/1.40  # Proof object clause conjectures      : 12
% 0.23/1.40  # Proof object formula conjectures     : 3
% 0.23/1.40  # Proof object initial clauses used    : 34
% 0.23/1.40  # Proof object initial formulas used   : 28
% 0.23/1.40  # Proof object generating inferences   : 13
% 0.23/1.40  # Proof object simplifying inferences  : 74
% 0.23/1.40  # Training examples: 0 positive, 0 negative
% 0.23/1.40  # Parsed axioms                        : 135
% 0.23/1.40  # Removed by relevancy pruning/SinE    : 0
% 0.23/1.40  # Initial clauses                      : 280
% 0.23/1.40  # Removed in clause preprocessing      : 11
% 0.23/1.40  # Initial clauses in saturation        : 269
% 0.23/1.40  # Processed clauses                    : 321
% 0.23/1.40  # ...of these trivial                  : 27
% 0.23/1.40  # ...subsumed                          : 0
% 0.23/1.40  # ...remaining for further processing  : 294
% 0.23/1.40  # Other redundant clauses eliminated   : 0
% 0.23/1.40  # Clauses deleted for lack of memory   : 0
% 0.23/1.40  # Backward-subsumed                    : 0
% 0.23/1.40  # Backward-rewritten                   : 5
% 0.23/1.40  # Generated clauses                    : 1370
% 0.23/1.40  # ...of the previous two non-trivial   : 1274
% 0.23/1.40  # Contextual simplify-reflections      : 8
% 0.23/1.40  # Paramodulations                      : 1370
% 0.23/1.40  # Factorizations                       : 0
% 0.23/1.40  # Equation resolutions                 : 0
% 0.23/1.40  # Current number of processed clauses  : 289
% 0.23/1.40  #    Positive orientable unit clauses  : 46
% 0.23/1.40  #    Positive unorientable unit clauses: 0
% 0.23/1.40  #    Negative unit clauses             : 1
% 0.23/1.40  #    Non-unit-clauses                  : 242
% 0.23/1.40  # Current number of unprocessed clauses: 1219
% 0.23/1.40  # ...number of literals in the above   : 3366
% 0.23/1.40  # Current number of archived formulas  : 0
% 0.23/1.40  # Current number of archived clauses   : 6
% 0.23/1.40  # Clause-clause subsumption calls (NU) : 14775
% 0.23/1.40  # Rec. Clause-clause subsumption calls : 11606
% 0.23/1.40  # Non-unit clause-clause subsumptions  : 8
% 0.23/1.40  # Unit Clause-clause subsumption calls : 313
% 0.23/1.40  # Rewrite failures with RHS unbound    : 0
% 0.23/1.40  # BW rewrite match attempts            : 3
% 0.23/1.40  # BW rewrite match successes           : 3
% 0.23/1.40  # Condensation attempts                : 0
% 0.23/1.40  # Condensation successes               : 0
% 0.23/1.40  # Termbank termtop insertions          : 25141
% 0.23/1.40  
% 0.23/1.40  # -------------------------------------------------
% 0.23/1.40  # User time                : 0.045 s
% 0.23/1.40  # System time              : 0.002 s
% 0.23/1.40  # Total time               : 0.047 s
% 0.23/1.40  # Maximum resident set size: 5104 pages
%------------------------------------------------------------------------------