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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : KRS155+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n018.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 01:01:03 PM UTC 2026

% Result   : Theorem 0.15s 0.50s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   28
% Syntax   : Number of formulae    :   93 (  43 unt;   0 def)
%            Number of atoms       :  350 (   0 equ)
%            Maximal formula atoms :   38 (   3 avg)
%            Number of connectives :  415 ( 158   ~; 148   |;  92   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;   9 con; 0-1 aty)
%            Number of variables   :   88 (   2 sgn  54   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(axiom_57,axiom,
    ! [X1] :
      ( cC58(X1)
    <=> ? [X2] :
          ( cC2(X2)
          & rR1(X1,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).

fof(the_axiom,conjecture,
    ( 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)
    & ! [X1] :
        ( xsd_string(X1)
      <=> ~ xsd_integer(X1) )
    & ! [X1] :
        ( ~ cowlNothing(X1)
        & cowlThing(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

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

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

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

fof(axiom_124,axiom,
    rR1(iV8472,iV8476),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_124) ).

fof(axiom_132,axiom,
    cC2(iV8476),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_132) ).

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

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

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

fof(axiom_105,axiom,
    rR1(iV8467,iV8469),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_105) ).

fof(axiom_113,axiom,
    cC6xcomp(iV8469),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_113) ).

fof(axiom_110,axiom,
    rR1(iV8467,iV8472),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_110) ).

fof(axiom_122,axiom,
    cC2xcomp(iV8472),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_122) ).

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

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

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

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

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

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

fof(axiom_118,axiom,
    cC78xcomp(iV8471),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_118) ).

fof(axiom_119,axiom,
    cC2xcomp(iV8471),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_119) ).

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

fof(axiom_104,axiom,
    rR1(iV8467,iV8470),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_104) ).

fof(axiom_116,axiom,
    cTOP(iV8470),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_116) ).

fof(axiom_106,axiom,
    rR1(iV8467,iV8474),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_106) ).

fof(axiom_127,axiom,
    cC32xcomp(iV8474),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).

fof(axiom_103,axiom,
    rR1(iV8467,iV8471),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_103) ).

fof(c_0_28,plain,
    ! [X11,X13,X14] :
      ( ( cC58(X13)
        | ~ cC2(X14)
        | ~ rR1(X13,X14) )
      & ( ~ cC58(X11)
        | cC2(esk4_1(X11)) )
      & ( ~ cC58(X11)
        | rR1(X11,esk4_1(X11)) ) ),
    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)],[axiom_57])])])])])])]) ).

fof(c_0_29,negated_conjecture,
    ~ ( 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)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(assume_negation,[status(cth)],[the_axiom]) ).

fof(c_0_30,plain,
    ! [X58,X60,X61] :
      ( ( cC8(X60)
        | ~ cC6xcomp(X61)
        | ~ rR1(X60,X61) )
      & ( ~ cC8(X58)
        | cC6xcomp(esk15_1(X58)) )
      & ( ~ cC8(X58)
        | rR1(X58,esk15_1(X58)) ) ),
    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)],[axiom_79])])])])])])]) ).

fof(c_0_31,plain,
    ! [X62,X64,X65] :
      ( ( cC4(X64)
        | ~ cC2xcomp(X65)
        | ~ rR1(X64,X65) )
      & ( ~ cC4(X62)
        | cC2xcomp(esk16_1(X62)) )
      & ( ~ cC4(X62)
        | rR1(X62,esk16_1(X62)) ) ),
    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)],[axiom_35])])])])])])]) ).

fof(c_0_32,plain,
    ! [X6] :
      ( ( cC60(X6)
        | ~ cC58(X6)
        | ~ cC2xcomp(X6) )
      & ( ~ cC60(X6)
        | cC58(X6) )
      & ( ~ cC60(X6)
        | cC2xcomp(X6) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_61])])])]) ).

cnf(c_0_33,plain,
    ( ~ cC2(X2)
    | ~ rR1(X1,X2)
    | cC58(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_34,plain,
    rR1(iV8472,iV8476),
    inference(split_conjunct,[status(thm)],[axiom_124]) ).

cnf(c_0_35,plain,
    cC2(iV8476),
    inference(split_conjunct,[status(thm)],[axiom_132]) ).

fof(c_0_36,plain,
    ! [X15] :
      ( ( cC80(X15)
        | ~ cC2xcomp(X15)
        | ~ cC78xcomp(X15) )
      & ( ~ cC80(X15)
        | cC2xcomp(X15) )
      & ( ~ cC80(X15)
        | cC78xcomp(X15) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_80])])])]) ).

fof(c_0_37,negated_conjecture,
    ~ ( 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)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_38,plain,
    ! [X1] :
      ( ~ cowlNothing(X1)
      & cowlThing(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_0]) ).

fof(c_0_39,plain,
    ! [X29] :
      ( ( cC10(X29)
        | ~ cC8(X29)
        | ~ cC4(X29) )
      & ( ~ cC10(X29)
        | cC8(X29) )
      & ( ~ cC10(X29)
        | cC4(X29) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[axiom_2])])])]) ).

cnf(c_0_40,plain,
    ( ~ cC6xcomp(X2)
    | ~ rR1(X1,X2)
    | cC8(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_41,plain,
    rR1(iV8467,iV8469),
    inference(split_conjunct,[status(thm)],[axiom_105]) ).

cnf(c_0_42,plain,
    cC6xcomp(iV8469),
    inference(split_conjunct,[status(thm)],[axiom_113]) ).

cnf(c_0_43,plain,
    ( ~ cC2xcomp(X2)
    | ~ rR1(X1,X2)
    | cC4(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_44,plain,
    rR1(iV8467,iV8472),
    inference(split_conjunct,[status(thm)],[axiom_110]) ).

cnf(c_0_45,plain,
    cC2xcomp(iV8472),
    inference(split_conjunct,[status(thm)],[axiom_122]) ).

fof(c_0_46,plain,
    ! [X46,X48,X49] :
      ( ( cC14(X48)
        | ~ cTOP(X49)
        | ~ rR1(X48,X49) )
      & ( ~ cC14(X46)
        | cTOP(esk12_1(X46)) )
      & ( ~ cC14(X46)
        | rR1(X46,esk12_1(X46)) ) ),
    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)],[axiom_5])])])])])])]) ).

fof(c_0_47,plain,
    ! [X66,X68,X69] :
      ( ( cC20(X68)
        | ~ cC2xcomp(X69)
        | ~ rR1(X68,X69) )
      & ( ~ cC20(X66)
        | cC2xcomp(esk17_1(X66)) )
      & ( ~ cC20(X66)
        | rR1(X66,esk17_1(X66)) ) ),
    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)],[axiom_13])])])])])])]) ).

fof(c_0_48,plain,
    ! [X38,X40,X41] :
      ( ( cC34(X40)
        | ~ cC32xcomp(X41)
        | ~ rR1(X40,X41) )
      & ( ~ cC34(X38)
        | cC32xcomp(esk10_1(X38)) )
      & ( ~ cC34(X38)
        | rR1(X38,esk10_1(X38)) ) ),
    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)],[axiom_29])])])])])])]) ).

fof(c_0_49,plain,
    ! [X21,X23,X24] :
      ( ( cC48(X23)
        | ~ cC2xcomp(X24)
        | ~ rR1(X23,X24) )
      & ( ~ cC48(X21)
        | cC2xcomp(esk6_1(X21)) )
      & ( ~ cC48(X21)
        | rR1(X21,esk6_1(X21)) ) ),
    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)],[axiom_44])])])])])])]) ).

fof(c_0_50,plain,
    ! [X7,X9,X10] :
      ( ( cC62(X9)
        | ~ cC60(X10)
        | ~ rR1(X9,X10) )
      & ( ~ cC62(X7)
        | cC60(esk3_1(X7)) )
      & ( ~ cC62(X7)
        | rR1(X7,esk3_1(X7)) ) ),
    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)],[axiom_62])])])])])])]) ).

cnf(c_0_51,plain,
    ( ~ cC58(X1)
    | ~ cC2xcomp(X1)
    | cC60(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_52,plain,
    cC58(iV8472),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).

fof(c_0_53,plain,
    ! [X16,X18,X19] :
      ( ( cC82(X18)
        | ~ cC80(X19)
        | ~ rR1(X18,X19) )
      & ( ~ cC82(X16)
        | cC80(esk5_1(X16)) )
      & ( ~ cC82(X16)
        | rR1(X16,esk5_1(X16)) ) ),
    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)],[axiom_82])])])])])])]) ).

cnf(c_0_54,plain,
    ( ~ cC2xcomp(X1)
    | ~ cC78xcomp(X1)
    | cC80(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_55,plain,
    cC78xcomp(iV8471),
    inference(split_conjunct,[status(thm)],[axiom_118]) ).

cnf(c_0_56,plain,
    cC2xcomp(iV8471),
    inference(split_conjunct,[status(thm)],[axiom_119]) ).

fof(c_0_57,plain,
    ! [X1] :
      ( xsd_string(X1)
    <=> ~ xsd_integer(X1) ),
    inference(fof_simplification,[status(thm)],[axiom_1]) ).

fof(c_0_58,negated_conjecture,
    ( ( ~ 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)
      | cowlNothing(esk1_0)
      | ~ cowlThing(esk1_0)
      | ~ xsd_integer(esk2_0)
      | xsd_string(esk2_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)
      | cowlNothing(esk1_0)
      | ~ cowlThing(esk1_0)
      | xsd_integer(esk2_0)
      | ~ xsd_string(esk2_0) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])])]) ).

fof(c_0_59,plain,
    ! [X75] :
      ( ~ cowlNothing(X75)
      & cowlThing(X75) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_38])]) ).

cnf(c_0_60,plain,
    ( ~ cC8(X1)
    | ~ cC4(X1)
    | cC10(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_61,plain,
    cC8(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42])]) ).

cnf(c_0_62,plain,
    cC4(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).

cnf(c_0_63,plain,
    ( ~ cTOP(X2)
    | ~ rR1(X1,X2)
    | cC14(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

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,
    ( ~ cC2xcomp(X2)
    | ~ rR1(X1,X2)
    | cC20(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_67,plain,
    ( ~ cC32xcomp(X2)
    | ~ rR1(X1,X2)
    | cC34(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_68,plain,
    rR1(iV8467,iV8474),
    inference(split_conjunct,[status(thm)],[axiom_106]) ).

cnf(c_0_69,plain,
    cC32xcomp(iV8474),
    inference(split_conjunct,[status(thm)],[axiom_127]) ).

cnf(c_0_70,plain,
    ( ~ cC2xcomp(X2)
    | ~ rR1(X1,X2)
    | cC48(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_71,plain,
    ( ~ cC60(X2)
    | ~ rR1(X1,X2)
    | cC62(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_72,plain,
    cC60(iV8472),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_45])]) ).

cnf(c_0_73,plain,
    ( ~ cC80(X2)
    | ~ rR1(X1,X2)
    | cC82(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_74,plain,
    rR1(iV8467,iV8471),
    inference(split_conjunct,[status(thm)],[axiom_103]) ).

cnf(c_0_75,plain,
    cC80(iV8471),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56])]) ).

fof(c_0_76,plain,
    ! [X74] :
      ( ( xsd_string(X74)
        | xsd_integer(X74) )
      & ( ~ xsd_integer(X74)
        | ~ xsd_string(X74) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ 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(esk1_0)
    | ~ xsd_integer(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_string(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_78,plain,
    cowlThing(X1),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_79,plain,
    cC10(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).

cnf(c_0_80,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_81,plain,
    cC20(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_44]),c_0_45])]) ).

cnf(c_0_82,plain,
    cC34(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_69])]) ).

cnf(c_0_83,plain,
    cC48(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_44]),c_0_45])]) ).

cnf(c_0_84,plain,
    cC62(iV8467),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_44]),c_0_72])]) ).

cnf(c_0_85,plain,
    cC82(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_86,plain,
    ~ cowlNothing(X1),
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_87,plain,
    ( xsd_string(X1)
    | xsd_integer(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_88,negated_conjecture,
    ( ~ 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(esk1_0)
    | ~ xsd_string(esk2_0)
    | cowlNothing(esk1_0)
    | xsd_integer(esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_89,negated_conjecture,
    xsd_string(esk2_0),
    inference(csr,[status(thm)],[inference(sr,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78]),c_0_78]),c_0_78]),c_0_78]),c_0_79]),c_0_62]),c_0_61]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_52]),c_0_72]),c_0_84]),c_0_75]),c_0_85])]),c_0_86]),c_0_87]) ).

cnf(c_0_90,plain,
    ( ~ xsd_integer(X1)
    | ~ xsd_string(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_91,negated_conjecture,
    xsd_integer(esk2_0),
    inference(sr,[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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_78]),c_0_78]),c_0_78]),c_0_78]),c_0_89]),c_0_79]),c_0_62]),c_0_61]),c_0_80]),c_0_81]),c_0_82]),c_0_83]),c_0_52]),c_0_72]),c_0_84]),c_0_75]),c_0_85])]),c_0_86]) ).

cnf(c_0_92,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_89])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS155+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n018.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 20 22:57:15 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42  Running first-order theorem proving
% 0.15/0.42  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
% 0.15/0.50  % Version: 3.5.1
% 0.15/0.50  % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/0.50  % Starting new_bool_3 with 600s (2) cores
% 0.15/0.50  % Starting new_bool_1 with 300s (1) cores
% 0.15/0.50  % Starting sh5l with 300s (1) cores
% 0.15/0.50  % sh5l with pid 381729 completed with status 0
% 0.15/0.50  % Result found by sh5l
% 0.15/0.50  % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/0.50  % Starting new_bool_3 with 600s (2) cores
% 0.15/0.50  % Starting new_bool_1 with 300s (1) cores
% 0.15/0.50  % Starting sh5l with 300s (1) cores
% 0.15/0.50  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.15/0.50  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.50  % Search class: FGHNF-FSMM11-SFFFFFNN
% 0.15/0.50  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.50  % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.50  % SubtermCWHack with pid 381733 completed with status 0
% 0.15/0.50  % Result found by SubtermCWHack
% 0.15/0.50  % Preprocessing class: FSLMSMSMSSSNFFN.
% 0.15/0.50  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50  % Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2S with 1200s (4) cores
% 0.15/0.50  % Starting new_bool_3 with 600s (2) cores
% 0.15/0.50  % Starting new_bool_1 with 300s (1) cores
% 0.15/0.50  % Starting sh5l with 300s (1) cores
% 0.15/0.50  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.15/0.50  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.15/0.50  % Search class: FGHNF-FSMM11-SFFFFFNN
% 0.15/0.50  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.50  % Starting SubtermCWHack with 31s (1) cores
% 0.15/0.50  % Preprocessing time       : 0.004 s
% 0.15/0.50  
% 0.15/0.50  % Proof found!
% 0.15/0.50  % SZS status Theorem
% 0.15/0.50  % SZS output start CNFRefutation
% See solution above
% 0.15/0.50  % Parsed axioms                        : 135
% 0.15/0.50  % Removed by relevancy pruning/SinE    : 29
% 0.15/0.50  % Initial clauses                      : 219
% 0.15/0.50  % Removed in clause preprocessing      : 0
% 0.15/0.50  % Initial clauses in saturation        : 219
% 0.15/0.50  % Processed clauses                    : 561
% 0.15/0.50  % ...of these trivial                  : 77
% 0.15/0.50  % ...subsumed                          : 14
% 0.15/0.50  % ...remaining for further processing  : 470
% 0.15/0.50  % Other redundant clauses eliminated   : 0
% 0.15/0.50  % Clauses deleted for lack of memory   : 0
% 0.15/0.50  % Backward-subsumed                    : 0
% 0.15/0.50  % Backward-rewritten                   : 10
% 0.15/0.50  % Generated clauses                    : 1195
% 0.15/0.50  % ...of the previous two non-redundant : 1098
% 0.15/0.50  % ...aggressively subsumed             : 0
% 0.15/0.50  % Contextual simplify-reflections      : 1
% 0.15/0.50  % Paramodulations                      : 1195
% 0.15/0.50  % Factorizations                       : 0
% 0.15/0.50  % NegExts                              : 0
% 0.15/0.50  % Equation resolutions                 : 0
% 0.15/0.50  % Disequality decompositions           : 0
% 0.15/0.50  % Total rewrite steps                  : 166
% 0.15/0.50  % ...of those cached                   : 129
% 0.15/0.50  % Propositional unsat checks           : 0
% 0.15/0.50  %    Propositional check models        : 0
% 0.15/0.50  %    Propositional check unsatisfiable : 0
% 0.15/0.50  %    Propositional clauses             : 0
% 0.15/0.50  %    Propositional clauses after purity: 0
% 0.15/0.50  %    Propositional unsat core size     : 0
% 0.15/0.50  %    Propositional preprocessing time  : 0.000
% 0.15/0.50  %    Propositional encoding time       : 0.000
% 0.15/0.50  %    Propositional solver time         : 0.000
% 0.15/0.50  %    Success case prop preproc time    : 0.000
% 0.15/0.50  %    Success case prop encoding time   : 0.000
% 0.15/0.50  %    Success case prop solver time     : 0.000
% 0.15/0.50  % Current number of processed clauses  : 460
% 0.15/0.50  %    Positive orientable unit clauses  : 42
% 0.15/0.50  %    Positive unorientable unit clauses: 0
% 0.15/0.50  %    Negative unit clauses             : 22
% 0.15/0.50  %    Non-unit-clauses                  : 396
% 0.15/0.50  % Current number of unprocessed clauses: 756
% 0.15/0.50  % ...number of literals in the above   : 2231
% 0.15/0.50  % Current number of archived formulas  : 0
% 0.15/0.50  % Current number of archived clauses   : 10
% 0.15/0.50  % Clause-clause subsumption calls (NU) : 27045
% 0.15/0.50  % Rec. Clause-clause subsumption calls : 22751
% 0.15/0.50  % Non-unit clause-clause subsumptions  : 1
% 0.15/0.50  % Unit Clause-clause subsumption calls : 1560
% 0.15/0.50  % Rewrite failures with RHS unbound    : 0
% 0.15/0.50  % BW rewrite match attempts            : 10
% 0.15/0.50  % BW rewrite match successes           : 10
% 0.15/0.50  % Condensation attempts                : 0
% 0.15/0.50  % Condensation successes               : 0
% 0.15/0.50  % Termbank termtop insertions          : 22294
% 0.15/0.50  % Search garbage collected termcells   : 3483
% 0.15/0.50  
% 0.15/0.50  % -------------------------------------------------
% 0.15/0.50  % User time                : 0.042 s
% 0.15/0.50  % System time              : 0.009 s
% 0.15/0.50  % Total time               : 0.051 s
% 0.15/0.50  % Maximum resident set size: 4788 pages
% 0.15/0.50  
% 0.15/0.50  % -------------------------------------------------
% 0.15/0.50  % User time                : 0.048 s
% 0.15/0.50  % System time              : 0.016 s
% 0.15/0.50  % Total time               : 0.064 s
% 0.15/0.50  % Maximum resident set size: 4864 pages
% 0.15/0.50  % E exiting
%------------------------------------------------------------------------------