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ConnectPP---0.7.2.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : ConnectPP---0.7.2
% Problem  : KRS113+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n004.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 08:47:18 AM UTC 2026

% Result   : Unsatisfiable 6.04s 6.40s
% Output   : Proof 6.14s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(cUnsatisfiable_substitution_1,axiom,
    ! [A,B] :
      ( ( cUnsatisfiable(A)
        & A = B )
     => cUnsatisfiable(B) ),
    file('theBenchmark.p',cUnsatisfiable_substitution_1) ).

fof(ca_Vx2_substitution_1,axiom,
    ! [A,B] :
      ( ( ca_Vx2(A)
        & A = B )
     => ca_Vx2(B) ),
    file('theBenchmark.p',ca_Vx2_substitution_1) ).

fof(cowlNothing_substitution_1,axiom,
    ! [A,B] :
      ( ( cowlNothing(A)
        & A = B )
     => cowlNothing(B) ),
    file('theBenchmark.p',cowlNothing_substitution_1) ).

fof(cowlThing_substitution_1,axiom,
    ! [A,B] :
      ( ( cowlThing(A)
        & A = B )
     => cowlThing(B) ),
    file('theBenchmark.p',cowlThing_substitution_1) ).

fof(cp_substitution_1,axiom,
    ! [A,B] :
      ( ( cp(A)
        & A = B )
     => cp(B) ),
    file('theBenchmark.p',cp_substitution_1) ).

fof(cpxcomp_substitution_1,axiom,
    ! [A,B] :
      ( ( cpxcomp(A)
        & A = B )
     => cpxcomp(B) ),
    file('theBenchmark.p',cpxcomp_substitution_1) ).

fof(ra_Px1_substitution_1,axiom,
    ! [A,B,C] :
      ( ( ra_Px1(A,C)
        & A = B )
     => ra_Px1(B,C) ),
    file('theBenchmark.p',ra_Px1_substitution_1) ).

fof(ra_Px1_substitution_2,axiom,
    ! [A,B,C] :
      ( ( ra_Px1(C,A)
        & A = B )
     => ra_Px1(C,B) ),
    file('theBenchmark.p',ra_Px1_substitution_2) ).

fof(rinvS_substitution_1,axiom,
    ! [A,B,C] :
      ( ( rinvS(A,C)
        & A = B )
     => rinvS(B,C) ),
    file('theBenchmark.p',rinvS_substitution_1) ).

fof(rinvS_substitution_2,axiom,
    ! [A,B,C] :
      ( ( rinvS(C,A)
        & A = B )
     => rinvS(C,B) ),
    file('theBenchmark.p',rinvS_substitution_2) ).

fof(rr_substitution_1,axiom,
    ! [A,B,C] :
      ( ( rr(A,C)
        & A = B )
     => rr(B,C) ),
    file('theBenchmark.p',rr_substitution_1) ).

fof(rr_substitution_2,axiom,
    ! [A,B,C] :
      ( ( rr(C,A)
        & A = B )
     => rr(C,B) ),
    file('theBenchmark.p',rr_substitution_2) ).

fof(rs_substitution_1,axiom,
    ! [A,B,C] :
      ( ( rs(A,C)
        & A = B )
     => rs(B,C) ),
    file('theBenchmark.p',rs_substitution_1) ).

fof(rs_substitution_2,axiom,
    ! [A,B,C] :
      ( ( rs(C,A)
        & A = B )
     => rs(C,B) ),
    file('theBenchmark.p',rs_substitution_2) ).

fof(xsd_integer_substitution_1,axiom,
    ! [A,B] :
      ( ( xsd_integer(A)
        & A = B )
     => xsd_integer(B) ),
    file('theBenchmark.p',xsd_integer_substitution_1) ).

fof(xsd_string_substitution_1,axiom,
    ! [A,B] :
      ( ( xsd_string(A)
        & A = B )
     => xsd_string(B) ),
    file('theBenchmark.p',xsd_string_substitution_1) ).

fof(axiom_0,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('theBenchmark.p',axiom_0) ).

fof(axiom_1,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('theBenchmark.p',axiom_1) ).

fof(axiom_2,axiom,
    ! [X] :
      ( cUnsatisfiable(X)
    <=> ( cpxcomp(X)
        & ? [Y] :
            ( cp(Y)
            & rs(X,Y) )
        & ? [Y] :
            ( ca_Vx2(Y)
            & rr(X,Y) )
        & ! [Y0,Y1] :
            ( ( rr(X,Y1)
              & rr(X,Y0) )
           => Y0 = Y1 ) ) ),
    file('theBenchmark.p',axiom_2) ).

fof(axiom_3,axiom,
    ! [X] :
      ( cp(X)
    <=> ~ ? [Y] : ra_Px1(X,Y) ),
    file('theBenchmark.p',axiom_3) ).

fof(axiom_4,axiom,
    ! [X] :
      ( cpxcomp(X)
    <=> ? [Y0] : ra_Px1(X,Y0) ),
    file('theBenchmark.p',axiom_4) ).

fof(axiom_5,axiom,
    ! [X] :
      ( ca_Vx2(X)
    <=> ! [Y] :
          ( rinvS(X,Y)
         => cp(Y) ) ),
    file('theBenchmark.p',axiom_5) ).

fof(axiom_6,axiom,
    ! [X,Y] :
      ( rinvS(X,Y)
    <=> rs(Y,X) ),
    file('theBenchmark.p',axiom_6) ).

fof(axiom_7,axiom,
    cUnsatisfiable(i2003_11_14_17_21_22376),
    file('theBenchmark.p',axiom_7) ).

fof(axiom_8,axiom,
    ! [X,Y] :
      ( rs(X,Y)
     => rr(X,Y) ),
    file('theBenchmark.p',axiom_8) ).

fof(f_1_1,plain,
    ! [A,B] :
      ( cUnsatisfiable(B)
      | ~ cUnsatisfiable(A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[cUnsatisfiable_substitution_1]) ).

fof(f_1_2,plain,
    ! [U_1,U_0] :
      ( cUnsatisfiable(U_0)
      | ~ cUnsatisfiable(U_1)
      | U_1 != U_0 ),
    inference(variable_rename,[status(thm)],[f_1_1]) ).

fof(f_1_3,plain,
    ! [U_0,U_1] :
      ( cUnsatisfiable(U_0)
      | ~ cUnsatisfiable(U_1)
      | U_1 != U_0 ),
    inference(definitional_conversion,[status(esa)],[f_1_2]) ).

cnf(f_1_4,plain,
    ( cUnsatisfiable(U_0)
    | ~ cUnsatisfiable(U_1)
    | U_1 != U_0 ),
    inference(clausify,[status(thm)],[f_1_3]) ).

fof(f_2_1,plain,
    ! [A,B] :
      ( ca_Vx2(B)
      | ~ ca_Vx2(A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[ca_Vx2_substitution_1]) ).

fof(f_2_2,plain,
    ! [U_3,U_2] :
      ( ca_Vx2(U_2)
      | ~ ca_Vx2(U_3)
      | U_3 != U_2 ),
    inference(variable_rename,[status(thm)],[f_2_1]) ).

fof(f_2_3,plain,
    ! [U_3,U_2] :
      ( ca_Vx2(U_2)
      | ~ ca_Vx2(U_3)
      | U_3 != U_2 ),
    inference(definitional_conversion,[status(esa)],[f_2_2]) ).

cnf(f_2_4,plain,
    ( ca_Vx2(U_2)
    | ~ ca_Vx2(U_3)
    | U_3 != U_2 ),
    inference(clausify,[status(thm)],[f_2_3]) ).

fof(f_3_1,plain,
    ! [A,B] :
      ( cowlNothing(B)
      | ~ cowlNothing(A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[cowlNothing_substitution_1]) ).

fof(f_3_2,plain,
    ! [U_5,U_4] :
      ( cowlNothing(U_4)
      | ~ cowlNothing(U_5)
      | U_5 != U_4 ),
    inference(variable_rename,[status(thm)],[f_3_1]) ).

fof(f_3_3,plain,
    ! [U_4,U_5] :
      ( cowlNothing(U_4)
      | ~ cowlNothing(U_5)
      | U_5 != U_4 ),
    inference(definitional_conversion,[status(esa)],[f_3_2]) ).

cnf(f_3_4,plain,
    ( cowlNothing(U_4)
    | ~ cowlNothing(U_5)
    | U_5 != U_4 ),
    inference(clausify,[status(thm)],[f_3_3]) ).

fof(f_4_1,plain,
    ! [A,B] :
      ( cowlThing(B)
      | ~ cowlThing(A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[cowlThing_substitution_1]) ).

fof(f_4_2,plain,
    ! [U_7,U_6] :
      ( cowlThing(U_6)
      | ~ cowlThing(U_7)
      | U_7 != U_6 ),
    inference(variable_rename,[status(thm)],[f_4_1]) ).

fof(f_4_3,plain,
    ! [U_6,U_7] :
      ( cowlThing(U_6)
      | ~ cowlThing(U_7)
      | U_7 != U_6 ),
    inference(definitional_conversion,[status(esa)],[f_4_2]) ).

cnf(f_4_4,plain,
    ( cowlThing(U_6)
    | ~ cowlThing(U_7)
    | U_7 != U_6 ),
    inference(clausify,[status(thm)],[f_4_3]) ).

fof(f_5_1,plain,
    ! [A,B] :
      ( cp(B)
      | ~ cp(A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[cp_substitution_1]) ).

fof(f_5_2,plain,
    ! [U_9,U_8] :
      ( cp(U_8)
      | ~ cp(U_9)
      | U_9 != U_8 ),
    inference(variable_rename,[status(thm)],[f_5_1]) ).

fof(f_5_3,plain,
    ! [U_8,U_9] :
      ( cp(U_8)
      | ~ cp(U_9)
      | U_9 != U_8 ),
    inference(definitional_conversion,[status(esa)],[f_5_2]) ).

cnf(f_5_4,plain,
    ( cp(U_8)
    | ~ cp(U_9)
    | U_9 != U_8 ),
    inference(clausify,[status(thm)],[f_5_3]) ).

fof(f_6_1,plain,
    ! [A,B] :
      ( cpxcomp(B)
      | ~ cpxcomp(A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[cpxcomp_substitution_1]) ).

fof(f_6_2,plain,
    ! [U_11,U_10] :
      ( cpxcomp(U_10)
      | ~ cpxcomp(U_11)
      | U_11 != U_10 ),
    inference(variable_rename,[status(thm)],[f_6_1]) ).

fof(f_6_3,plain,
    ! [U_10,U_11] :
      ( cpxcomp(U_10)
      | ~ cpxcomp(U_11)
      | U_11 != U_10 ),
    inference(definitional_conversion,[status(esa)],[f_6_2]) ).

cnf(f_6_4,plain,
    ( cpxcomp(U_10)
    | ~ cpxcomp(U_11)
    | U_11 != U_10 ),
    inference(clausify,[status(thm)],[f_6_3]) ).

fof(f_7_1,plain,
    ! [A,B,C] :
      ( ra_Px1(B,C)
      | ~ ra_Px1(A,C)
      | A != B ),
    inference(fof_nnf,[status(thm)],[ra_Px1_substitution_1]) ).

fof(f_7_2,plain,
    ! [U_14,U_13,U_12] :
      ( ra_Px1(U_13,U_12)
      | ~ ra_Px1(U_14,U_12)
      | U_14 != U_13 ),
    inference(variable_rename,[status(thm)],[f_7_1]) ).

fof(f_7_3,plain,
    ! [U_12,U_13,U_14] :
      ( ra_Px1(U_13,U_12)
      | ~ ra_Px1(U_14,U_12)
      | U_14 != U_13 ),
    inference(definitional_conversion,[status(esa)],[f_7_2]) ).

cnf(f_7_4,plain,
    ( ra_Px1(U_13,U_12)
    | ~ ra_Px1(U_14,U_12)
    | U_14 != U_13 ),
    inference(clausify,[status(thm)],[f_7_3]) ).

fof(f_8_1,plain,
    ! [A,B,C] :
      ( ra_Px1(C,B)
      | ~ ra_Px1(C,A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[ra_Px1_substitution_2]) ).

fof(f_8_2,plain,
    ! [U_17,U_16,U_15] :
      ( ra_Px1(U_15,U_16)
      | ~ ra_Px1(U_15,U_17)
      | U_17 != U_16 ),
    inference(variable_rename,[status(thm)],[f_8_1]) ).

fof(f_8_3,plain,
    ! [U_17,U_16,U_15] :
      ( ra_Px1(U_15,U_16)
      | ~ ra_Px1(U_15,U_17)
      | U_17 != U_16 ),
    inference(definitional_conversion,[status(esa)],[f_8_2]) ).

cnf(f_8_4,plain,
    ( ra_Px1(U_15,U_16)
    | ~ ra_Px1(U_15,U_17)
    | U_17 != U_16 ),
    inference(clausify,[status(thm)],[f_8_3]) ).

fof(f_9_1,plain,
    ! [A,B,C] :
      ( rinvS(B,C)
      | ~ rinvS(A,C)
      | A != B ),
    inference(fof_nnf,[status(thm)],[rinvS_substitution_1]) ).

fof(f_9_2,plain,
    ! [U_20,U_19,U_18] :
      ( rinvS(U_19,U_18)
      | ~ rinvS(U_20,U_18)
      | U_20 != U_19 ),
    inference(variable_rename,[status(thm)],[f_9_1]) ).

fof(f_9_3,plain,
    ! [U_20,U_18,U_19] :
      ( rinvS(U_19,U_18)
      | ~ rinvS(U_20,U_18)
      | U_20 != U_19 ),
    inference(definitional_conversion,[status(esa)],[f_9_2]) ).

cnf(f_9_4,plain,
    ( rinvS(U_19,U_18)
    | ~ rinvS(U_20,U_18)
    | U_20 != U_19 ),
    inference(clausify,[status(thm)],[f_9_3]) ).

fof(f_10_1,plain,
    ! [A,B,C] :
      ( rinvS(C,B)
      | ~ rinvS(C,A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[rinvS_substitution_2]) ).

fof(f_10_2,plain,
    ! [U_23,U_22,U_21] :
      ( rinvS(U_21,U_22)
      | ~ rinvS(U_21,U_23)
      | U_23 != U_22 ),
    inference(variable_rename,[status(thm)],[f_10_1]) ).

fof(f_10_3,plain,
    ! [U_23,U_21,U_22] :
      ( rinvS(U_21,U_22)
      | ~ rinvS(U_21,U_23)
      | U_23 != U_22 ),
    inference(definitional_conversion,[status(esa)],[f_10_2]) ).

cnf(f_10_4,plain,
    ( rinvS(U_21,U_22)
    | ~ rinvS(U_21,U_23)
    | U_23 != U_22 ),
    inference(clausify,[status(thm)],[f_10_3]) ).

fof(f_11_1,plain,
    ! [A,B,C] :
      ( rr(B,C)
      | ~ rr(A,C)
      | A != B ),
    inference(fof_nnf,[status(thm)],[rr_substitution_1]) ).

fof(f_11_2,plain,
    ! [U_26,U_25,U_24] :
      ( rr(U_25,U_24)
      | ~ rr(U_26,U_24)
      | U_26 != U_25 ),
    inference(variable_rename,[status(thm)],[f_11_1]) ).

fof(f_11_3,plain,
    ! [U_25,U_26,U_24] :
      ( rr(U_25,U_24)
      | ~ rr(U_26,U_24)
      | U_26 != U_25 ),
    inference(definitional_conversion,[status(esa)],[f_11_2]) ).

cnf(f_11_4,plain,
    ( rr(U_25,U_24)
    | ~ rr(U_26,U_24)
    | U_26 != U_25 ),
    inference(clausify,[status(thm)],[f_11_3]) ).

fof(f_12_1,plain,
    ! [A,B,C] :
      ( rr(C,B)
      | ~ rr(C,A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[rr_substitution_2]) ).

fof(f_12_2,plain,
    ! [U_29,U_28,U_27] :
      ( rr(U_27,U_28)
      | ~ rr(U_27,U_29)
      | U_29 != U_28 ),
    inference(variable_rename,[status(thm)],[f_12_1]) ).

fof(f_12_3,plain,
    ! [U_27,U_28,U_29] :
      ( rr(U_27,U_28)
      | ~ rr(U_27,U_29)
      | U_29 != U_28 ),
    inference(definitional_conversion,[status(esa)],[f_12_2]) ).

cnf(f_12_4,plain,
    ( rr(U_27,U_28)
    | ~ rr(U_27,U_29)
    | U_29 != U_28 ),
    inference(clausify,[status(thm)],[f_12_3]) ).

fof(f_13_1,plain,
    ! [A,B,C] :
      ( rs(B,C)
      | ~ rs(A,C)
      | A != B ),
    inference(fof_nnf,[status(thm)],[rs_substitution_1]) ).

fof(f_13_2,plain,
    ! [U_32,U_31,U_30] :
      ( rs(U_31,U_30)
      | ~ rs(U_32,U_30)
      | U_32 != U_31 ),
    inference(variable_rename,[status(thm)],[f_13_1]) ).

fof(f_13_3,plain,
    ! [U_30,U_31,U_32] :
      ( rs(U_31,U_30)
      | ~ rs(U_32,U_30)
      | U_32 != U_31 ),
    inference(definitional_conversion,[status(esa)],[f_13_2]) ).

cnf(f_13_4,plain,
    ( rs(U_31,U_30)
    | ~ rs(U_32,U_30)
    | U_32 != U_31 ),
    inference(clausify,[status(thm)],[f_13_3]) ).

fof(f_14_1,plain,
    ! [A,B,C] :
      ( rs(C,B)
      | ~ rs(C,A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[rs_substitution_2]) ).

fof(f_14_2,plain,
    ! [U_35,U_34,U_33] :
      ( rs(U_33,U_34)
      | ~ rs(U_33,U_35)
      | U_35 != U_34 ),
    inference(variable_rename,[status(thm)],[f_14_1]) ).

fof(f_14_3,plain,
    ! [U_33,U_34,U_35] :
      ( rs(U_33,U_34)
      | ~ rs(U_33,U_35)
      | U_35 != U_34 ),
    inference(definitional_conversion,[status(esa)],[f_14_2]) ).

cnf(f_14_4,plain,
    ( rs(U_33,U_34)
    | ~ rs(U_33,U_35)
    | U_35 != U_34 ),
    inference(clausify,[status(thm)],[f_14_3]) ).

fof(f_15_1,plain,
    ! [A,B] :
      ( xsd_integer(B)
      | ~ xsd_integer(A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[xsd_integer_substitution_1]) ).

fof(f_15_2,plain,
    ! [U_37,U_36] :
      ( xsd_integer(U_36)
      | ~ xsd_integer(U_37)
      | U_37 != U_36 ),
    inference(variable_rename,[status(thm)],[f_15_1]) ).

fof(f_15_3,plain,
    ! [U_36,U_37] :
      ( xsd_integer(U_36)
      | ~ xsd_integer(U_37)
      | U_37 != U_36 ),
    inference(definitional_conversion,[status(esa)],[f_15_2]) ).

cnf(f_15_4,plain,
    ( xsd_integer(U_36)
    | ~ xsd_integer(U_37)
    | U_37 != U_36 ),
    inference(clausify,[status(thm)],[f_15_3]) ).

fof(f_16_1,plain,
    ! [A,B] :
      ( xsd_string(B)
      | ~ xsd_string(A)
      | A != B ),
    inference(fof_nnf,[status(thm)],[xsd_string_substitution_1]) ).

fof(f_16_2,plain,
    ! [U_39,U_38] :
      ( xsd_string(U_38)
      | ~ xsd_string(U_39)
      | U_39 != U_38 ),
    inference(variable_rename,[status(thm)],[f_16_1]) ).

fof(f_16_3,plain,
    ! [U_38,U_39] :
      ( xsd_string(U_38)
      | ~ xsd_string(U_39)
      | U_39 != U_38 ),
    inference(definitional_conversion,[status(esa)],[f_16_2]) ).

cnf(f_16_4,plain,
    ( xsd_string(U_38)
    | ~ xsd_string(U_39)
    | U_39 != U_38 ),
    inference(clausify,[status(thm)],[f_16_3]) ).

fof(f_17_1,plain,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    inference(fof_nnf,[status(thm)],[axiom_0]) ).

fof(f_17_2,plain,
    ! [U_40] :
      ( ~ cowlNothing(U_40)
      & cowlThing(U_40) ),
    inference(variable_rename,[status(thm)],[f_17_1]) ).

fof(f_17_3,plain,
    ( ! [U_42] : ~ cowlNothing(U_42)
    & ! [U_41] : cowlThing(U_41) ),
    inference(miniscope,[status(thm)],[f_17_2]) ).

fof(f_17_4,plain,
    ( ! [U_42] : ~ cowlNothing(U_42)
    & ! [U_41] : cowlThing(U_41) ),
    inference(definitional_conversion,[status(esa)],[f_17_3]) ).

cnf(f_17_5,plain,
    cowlThing(U_41),
    inference(clausify,[status(thm)],[f_17_4]) ).

cnf(f_17_6,plain,
    ~ cowlNothing(U_42),
    inference(clausify,[status(thm)],[f_17_4]) ).

fof(f_18_1,plain,
    ! [X] :
      ( ( xsd_string(X)
        | xsd_integer(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_1]) ).

fof(f_18_2,plain,
    ! [U_43] :
      ( ( xsd_string(U_43)
        | xsd_integer(U_43) )
      & ( ~ xsd_integer(U_43)
        | ~ xsd_string(U_43) ) ),
    inference(variable_rename,[status(thm)],[f_18_1]) ).

fof(f_18_3,plain,
    ( ! [U_45] :
        ( xsd_string(U_45)
        | xsd_integer(U_45) )
    & ! [U_44] :
        ( ~ xsd_integer(U_44)
        | ~ xsd_string(U_44) ) ),
    inference(miniscope,[status(thm)],[f_18_2]) ).

fof(f_18_4,plain,
    ( ! [U_45] :
        ( xsd_string(U_45)
        | xsd_integer(U_45) )
    & ! [U_44] :
        ( ~ xsd_integer(U_44)
        | ~ xsd_string(U_44) ) ),
    inference(definitional_conversion,[status(esa)],[f_18_3]) ).

cnf(f_18_5,plain,
    ( ~ xsd_integer(U_44)
    | ~ xsd_string(U_44) ),
    inference(clausify,[status(thm)],[f_18_4]) ).

cnf(f_18_6,plain,
    ( xsd_string(U_45)
    | xsd_integer(U_45) ),
    inference(clausify,[status(thm)],[f_18_4]) ).

fof(f_19_1,plain,
    ! [X] :
      ( ( cUnsatisfiable(X)
        | ~ cpxcomp(X)
        | ! [Y] :
            ( ~ cp(Y)
            | ~ rs(X,Y) )
        | ! [Y] :
            ( ~ ca_Vx2(Y)
            | ~ rr(X,Y) )
        | ? [Y0,Y1] :
            ( Y0 != Y1
            & rr(X,Y1)
            & rr(X,Y0) ) )
      & ( ( cpxcomp(X)
          & ? [Y] :
              ( cp(Y)
              & rs(X,Y) )
          & ? [Y] :
              ( ca_Vx2(Y)
              & rr(X,Y) )
          & ! [Y0,Y1] :
              ( Y0 = Y1
              | ~ rr(X,Y1)
              | ~ rr(X,Y0) ) )
        | ~ cUnsatisfiable(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_2]) ).

fof(f_19_2,plain,
    ! [U_54] :
      ( ( cUnsatisfiable(U_54)
        | ~ cpxcomp(U_54)
        | ! [U_53] :
            ( ~ cp(U_53)
            | ~ rs(U_54,U_53) )
        | ! [U_52] :
            ( ~ ca_Vx2(U_52)
            | ~ rr(U_54,U_52) )
        | ? [U_51,U_50] :
            ( U_51 != U_50
            & rr(U_54,U_50)
            & rr(U_54,U_51) ) )
      & ( ( cpxcomp(U_54)
          & ? [U_49] :
              ( cp(U_49)
              & rs(U_54,U_49) )
          & ? [U_48] :
              ( ca_Vx2(U_48)
              & rr(U_54,U_48) )
          & ! [U_47,U_46] :
              ( U_47 = U_46
              | ~ rr(U_54,U_46)
              | ~ rr(U_54,U_47) ) )
        | ~ cUnsatisfiable(U_54) ) ),
    inference(variable_rename,[status(thm)],[f_19_1]) ).

fof(f_19_3,plain,
    ( ! [U_56] :
        ( cUnsatisfiable(U_56)
        | ~ cpxcomp(U_56)
        | ! [U_53] :
            ( ~ cp(U_53)
            | ~ rs(U_56,U_53) )
        | ! [U_52] :
            ( ~ ca_Vx2(U_52)
            | ~ rr(U_56,U_52) )
        | ? [U_51,U_50] :
            ( U_51 != U_50
            & rr(U_56,U_50)
            & rr(U_56,U_51) ) )
    & ! [U_55] :
        ( ( cpxcomp(U_55)
          & ? [U_49] :
              ( cp(U_49)
              & rs(U_55,U_49) )
          & ? [U_48] :
              ( ca_Vx2(U_48)
              & rr(U_55,U_48) )
          & ! [U_47,U_46] :
              ( U_47 = U_46
              | ~ rr(U_55,U_46)
              | ~ rr(U_55,U_47) ) )
        | ~ cUnsatisfiable(U_55) ) ),
    inference(miniscope,[status(thm)],[f_19_2]) ).

fof(f_19_4,plain,
    ( ! [U_56] :
        ( cUnsatisfiable(U_56)
        | ~ cpxcomp(U_56)
        | ! [U_53] :
            ( ~ cp(U_53)
            | ~ rs(U_56,U_53) )
        | ! [U_52] :
            ( ~ ca_Vx2(U_52)
            | ~ rr(U_56,U_52) )
        | ? [U_51,U_50] :
            ( U_51 != U_50
            & rr(U_56,U_50)
            & rr(U_56,U_51) ) )
    & ! [U_55] :
        ( ( cpxcomp(U_55)
          & ? [U_49] :
              ( cp(U_49)
              & rs(U_55,U_49) )
          & ca_Vx2(sK1(U_55))
          & rr(U_55,sK1(U_55))
          & ! [U_47,U_46] :
              ( U_47 = U_46
              | ~ rr(U_55,U_46)
              | ~ rr(U_55,U_47) ) )
        | ~ cUnsatisfiable(U_55) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_48,sK1(U_55))],[f_19_3]) ).

fof(f_19_5,plain,
    ( ! [U_56] :
        ( cUnsatisfiable(U_56)
        | ~ cpxcomp(U_56)
        | ! [U_53] :
            ( ~ cp(U_53)
            | ~ rs(U_56,U_53) )
        | ! [U_52] :
            ( ~ ca_Vx2(U_52)
            | ~ rr(U_56,U_52) )
        | ? [U_51,U_50] :
            ( U_51 != U_50
            & rr(U_56,U_50)
            & rr(U_56,U_51) ) )
    & ! [U_55] :
        ( ( cpxcomp(U_55)
          & cp(sK2(U_55))
          & rs(U_55,sK2(U_55))
          & ca_Vx2(sK1(U_55))
          & rr(U_55,sK1(U_55))
          & ! [U_47,U_46] :
              ( U_47 = U_46
              | ~ rr(U_55,U_46)
              | ~ rr(U_55,U_47) ) )
        | ~ cUnsatisfiable(U_55) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_49,sK2(U_55))],[f_19_4]) ).

fof(f_19_6,plain,
    ( ! [U_56] :
        ( cUnsatisfiable(U_56)
        | ~ cpxcomp(U_56)
        | ! [U_53] :
            ( ~ cp(U_53)
            | ~ rs(U_56,U_53) )
        | ! [U_52] :
            ( ~ ca_Vx2(U_52)
            | ~ rr(U_56,U_52) )
        | ? [U_50] :
            ( sK3(U_56) != U_50
            & rr(U_56,U_50)
            & rr(U_56,sK3(U_56)) ) )
    & ! [U_55] :
        ( ( cpxcomp(U_55)
          & cp(sK2(U_55))
          & rs(U_55,sK2(U_55))
          & ca_Vx2(sK1(U_55))
          & rr(U_55,sK1(U_55))
          & ! [U_47,U_46] :
              ( U_47 = U_46
              | ~ rr(U_55,U_46)
              | ~ rr(U_55,U_47) ) )
        | ~ cUnsatisfiable(U_55) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_51,sK3(U_56))],[f_19_5]) ).

fof(f_19_7,plain,
    ( ! [U_56] :
        ( cUnsatisfiable(U_56)
        | ~ cpxcomp(U_56)
        | ! [U_53] :
            ( ~ cp(U_53)
            | ~ rs(U_56,U_53) )
        | ! [U_52] :
            ( ~ ca_Vx2(U_52)
            | ~ rr(U_56,U_52) )
        | ( sK3(U_56) != sK4(U_56)
          & rr(U_56,sK4(U_56))
          & rr(U_56,sK3(U_56)) ) )
    & ! [U_55] :
        ( ( cpxcomp(U_55)
          & cp(sK2(U_55))
          & rs(U_55,sK2(U_55))
          & ca_Vx2(sK1(U_55))
          & rr(U_55,sK1(U_55))
          & ! [U_47,U_46] :
              ( U_47 = U_46
              | ~ rr(U_55,U_46)
              | ~ rr(U_55,U_47) ) )
        | ~ cUnsatisfiable(U_55) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_50,sK4(U_56))],[f_19_6]) ).

fof(f_19_8,plain,
    ( ! [U_56] :
        ( sK3(U_56) != sK4(U_56)
        | ~ sP1(U_56) )
    & ! [U_56] :
        ( rr(U_56,sK4(U_56))
        | ~ sP1(U_56) )
    & ! [U_56] :
        ( rr(U_56,sK3(U_56))
        | ~ sP1(U_56) )
    & ! [U_46,U_47,U_55] :
        ( cpxcomp(U_55)
        | ~ sP0(U_46,U_47,U_55) )
    & ! [U_46,U_47,U_55] :
        ( cp(sK2(U_55))
        | ~ sP0(U_46,U_47,U_55) )
    & ! [U_46,U_47,U_55] :
        ( rs(U_55,sK2(U_55))
        | ~ sP0(U_46,U_47,U_55) )
    & ! [U_46,U_47,U_55] :
        ( ca_Vx2(sK1(U_55))
        | ~ sP0(U_46,U_47,U_55) )
    & ! [U_46,U_47,U_55] :
        ( rr(U_55,sK1(U_55))
        | ~ sP0(U_46,U_47,U_55) )
    & ! [U_46,U_47,U_55] :
        ( U_47 = U_46
        | ~ rr(U_55,U_46)
        | ~ rr(U_55,U_47)
        | ~ sP0(U_46,U_47,U_55) )
    & ! [U_52,U_53,U_56] :
        ( cUnsatisfiable(U_56)
        | ~ cpxcomp(U_56)
        | ~ cp(U_53)
        | ~ rs(U_56,U_53)
        | ~ ca_Vx2(U_52)
        | ~ rr(U_56,U_52)
        | sP1(U_56) )
    & ! [U_46,U_47,U_55] :
        ( sP0(U_46,U_47,U_55)
        | ~ cUnsatisfiable(U_55) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_19_7]) ).

cnf(f_19_9,plain,
    ( sP0(U_46,U_47,U_55)
    | ~ cUnsatisfiable(U_55) ),
    inference(clausify,[status(thm)],[f_19_8]) ).

cnf(f_19_10,plain,
    ( cUnsatisfiable(U_56)
    | ~ cpxcomp(U_56)
    | ~ cp(U_53)
    | ~ rs(U_56,U_53)
    | ~ ca_Vx2(U_52)
    | ~ rr(U_56,U_52)
    | sP1(U_56) ),
    inference(clausify,[status(thm)],[f_19_8]) ).

cnf(f_19_11,plain,
    ( U_47 = U_46
    | ~ rr(U_55,U_46)
    | ~ rr(U_55,U_47)
    | ~ sP0(U_46,U_47,U_55) ),
    inference(clausify,[status(thm)],[f_19_8]) ).

cnf(f_19_12,plain,
    ( rr(U_55,sK1(U_55))
    | ~ sP0(U_46,U_47,U_55) ),
    inference(clausify,[status(thm)],[f_19_8]) ).

cnf(f_19_13,plain,
    ( ca_Vx2(sK1(U_55))
    | ~ sP0(U_46,U_47,U_55) ),
    inference(clausify,[status(thm)],[f_19_8]) ).

cnf(f_19_14,plain,
    ( rs(U_55,sK2(U_55))
    | ~ sP0(U_46,U_47,U_55) ),
    inference(clausify,[status(thm)],[f_19_8]) ).

cnf(f_19_15,plain,
    ( cp(sK2(U_55))
    | ~ sP0(U_46,U_47,U_55) ),
    inference(clausify,[status(thm)],[f_19_8]) ).

cnf(f_19_16,plain,
    ( cpxcomp(U_55)
    | ~ sP0(U_46,U_47,U_55) ),
    inference(clausify,[status(thm)],[f_19_8]) ).

cnf(f_19_17,plain,
    ( rr(U_56,sK3(U_56))
    | ~ sP1(U_56) ),
    inference(clausify,[status(thm)],[f_19_8]) ).

cnf(f_19_18,plain,
    ( rr(U_56,sK4(U_56))
    | ~ sP1(U_56) ),
    inference(clausify,[status(thm)],[f_19_8]) ).

cnf(f_19_19,plain,
    ( sK3(U_56) != sK4(U_56)
    | ~ sP1(U_56) ),
    inference(clausify,[status(thm)],[f_19_8]) ).

fof(f_20_1,plain,
    ! [X] :
      ( ( cp(X)
        | ? [Y] : ra_Px1(X,Y) )
      & ( ! [Y] : ~ ra_Px1(X,Y)
        | ~ cp(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_3]) ).

fof(f_20_2,plain,
    ! [U_59] :
      ( ( cp(U_59)
        | ? [U_58] : ra_Px1(U_59,U_58) )
      & ( ! [U_57] : ~ ra_Px1(U_59,U_57)
        | ~ cp(U_59) ) ),
    inference(variable_rename,[status(thm)],[f_20_1]) ).

fof(f_20_3,plain,
    ( ! [U_61] :
        ( cp(U_61)
        | ? [U_58] : ra_Px1(U_61,U_58) )
    & ! [U_60] :
        ( ! [U_57] : ~ ra_Px1(U_60,U_57)
        | ~ cp(U_60) ) ),
    inference(miniscope,[status(thm)],[f_20_2]) ).

fof(f_20_4,plain,
    ( ! [U_61] :
        ( cp(U_61)
        | ra_Px1(U_61,sK5(U_61)) )
    & ! [U_60] :
        ( ! [U_57] : ~ ra_Px1(U_60,U_57)
        | ~ cp(U_60) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_58,sK5(U_61))],[f_20_3]) ).

fof(f_20_5,plain,
    ( ! [U_61] :
        ( cp(U_61)
        | ra_Px1(U_61,sK5(U_61)) )
    & ! [U_60,U_57] :
        ( ~ ra_Px1(U_60,U_57)
        | ~ cp(U_60) ) ),
    inference(definitional_conversion,[status(esa)],[f_20_4]) ).

cnf(f_20_6,plain,
    ( ~ ra_Px1(U_60,U_57)
    | ~ cp(U_60) ),
    inference(clausify,[status(thm)],[f_20_5]) ).

cnf(f_20_7,plain,
    ( cp(U_61)
    | ra_Px1(U_61,sK5(U_61)) ),
    inference(clausify,[status(thm)],[f_20_5]) ).

fof(f_21_1,plain,
    ! [X] :
      ( ( cpxcomp(X)
        | ! [Y0] : ~ ra_Px1(X,Y0) )
      & ( ? [Y0] : ra_Px1(X,Y0)
        | ~ cpxcomp(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_4]) ).

fof(f_21_2,plain,
    ! [U_64] :
      ( ( cpxcomp(U_64)
        | ! [U_63] : ~ ra_Px1(U_64,U_63) )
      & ( ? [U_62] : ra_Px1(U_64,U_62)
        | ~ cpxcomp(U_64) ) ),
    inference(variable_rename,[status(thm)],[f_21_1]) ).

fof(f_21_3,plain,
    ( ! [U_66] :
        ( cpxcomp(U_66)
        | ! [U_63] : ~ ra_Px1(U_66,U_63) )
    & ! [U_65] :
        ( ? [U_62] : ra_Px1(U_65,U_62)
        | ~ cpxcomp(U_65) ) ),
    inference(miniscope,[status(thm)],[f_21_2]) ).

fof(f_21_4,plain,
    ( ! [U_66] :
        ( cpxcomp(U_66)
        | ! [U_63] : ~ ra_Px1(U_66,U_63) )
    & ! [U_65] :
        ( ra_Px1(U_65,sK6(U_65))
        | ~ cpxcomp(U_65) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_62,sK6(U_65))],[f_21_3]) ).

fof(f_21_5,plain,
    ( ! [U_63,U_66] :
        ( cpxcomp(U_66)
        | ~ ra_Px1(U_66,U_63) )
    & ! [U_65] :
        ( ra_Px1(U_65,sK6(U_65))
        | ~ cpxcomp(U_65) ) ),
    inference(definitional_conversion,[status(esa)],[f_21_4]) ).

cnf(f_21_6,plain,
    ( ra_Px1(U_65,sK6(U_65))
    | ~ cpxcomp(U_65) ),
    inference(clausify,[status(thm)],[f_21_5]) ).

cnf(f_21_7,plain,
    ( cpxcomp(U_66)
    | ~ ra_Px1(U_66,U_63) ),
    inference(clausify,[status(thm)],[f_21_5]) ).

fof(f_22_1,plain,
    ! [X] :
      ( ( ca_Vx2(X)
        | ? [Y] :
            ( ~ cp(Y)
            & rinvS(X,Y) ) )
      & ( ! [Y] :
            ( cp(Y)
            | ~ rinvS(X,Y) )
        | ~ ca_Vx2(X) ) ),
    inference(fof_nnf,[status(thm)],[axiom_5]) ).

fof(f_22_2,plain,
    ! [U_69] :
      ( ( ca_Vx2(U_69)
        | ? [U_68] :
            ( ~ cp(U_68)
            & rinvS(U_69,U_68) ) )
      & ( ! [U_67] :
            ( cp(U_67)
            | ~ rinvS(U_69,U_67) )
        | ~ ca_Vx2(U_69) ) ),
    inference(variable_rename,[status(thm)],[f_22_1]) ).

fof(f_22_3,plain,
    ( ! [U_71] :
        ( ca_Vx2(U_71)
        | ? [U_68] :
            ( ~ cp(U_68)
            & rinvS(U_71,U_68) ) )
    & ! [U_70] :
        ( ! [U_67] :
            ( cp(U_67)
            | ~ rinvS(U_70,U_67) )
        | ~ ca_Vx2(U_70) ) ),
    inference(miniscope,[status(thm)],[f_22_2]) ).

fof(f_22_4,plain,
    ( ! [U_71] :
        ( ca_Vx2(U_71)
        | ( ~ cp(sK7(U_71))
          & rinvS(U_71,sK7(U_71)) ) )
    & ! [U_70] :
        ( ! [U_67] :
            ( cp(U_67)
            | ~ rinvS(U_70,U_67) )
        | ~ ca_Vx2(U_70) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_68,sK7(U_71))],[f_22_3]) ).

fof(f_22_5,plain,
    ( ! [U_71] :
        ( ~ cp(sK7(U_71))
        | ~ sP2(U_71) )
    & ! [U_71] :
        ( rinvS(U_71,sK7(U_71))
        | ~ sP2(U_71) )
    & ! [U_71] :
        ( ca_Vx2(U_71)
        | sP2(U_71) )
    & ! [U_70,U_67] :
        ( cp(U_67)
        | ~ rinvS(U_70,U_67)
        | ~ ca_Vx2(U_70) ) ),
    inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP2])],[f_22_4]) ).

cnf(f_22_6,plain,
    ( cp(U_67)
    | ~ rinvS(U_70,U_67)
    | ~ ca_Vx2(U_70) ),
    inference(clausify,[status(thm)],[f_22_5]) ).

cnf(f_22_7,plain,
    ( ca_Vx2(U_71)
    | sP2(U_71) ),
    inference(clausify,[status(thm)],[f_22_5]) ).

cnf(f_22_8,plain,
    ( rinvS(U_71,sK7(U_71))
    | ~ sP2(U_71) ),
    inference(clausify,[status(thm)],[f_22_5]) ).

cnf(f_22_9,plain,
    ( ~ cp(sK7(U_71))
    | ~ sP2(U_71) ),
    inference(clausify,[status(thm)],[f_22_5]) ).

fof(f_23_1,plain,
    ! [X,Y] :
      ( ( rinvS(X,Y)
        | ~ rs(Y,X) )
      & ( rs(Y,X)
        | ~ rinvS(X,Y) ) ),
    inference(fof_nnf,[status(thm)],[axiom_6]) ).

fof(f_23_2,plain,
    ! [U_73,U_72] :
      ( ( rinvS(U_73,U_72)
        | ~ rs(U_72,U_73) )
      & ( rs(U_72,U_73)
        | ~ rinvS(U_73,U_72) ) ),
    inference(variable_rename,[status(thm)],[f_23_1]) ).

fof(f_23_3,plain,
    ( ! [U_77,U_75] :
        ( rinvS(U_77,U_75)
        | ~ rs(U_75,U_77) )
    & ! [U_76,U_74] :
        ( rs(U_74,U_76)
        | ~ rinvS(U_76,U_74) ) ),
    inference(miniscope,[status(thm)],[f_23_2]) ).

fof(f_23_4,plain,
    ( ! [U_75,U_77] :
        ( rinvS(U_77,U_75)
        | ~ rs(U_75,U_77) )
    & ! [U_76,U_74] :
        ( rs(U_74,U_76)
        | ~ rinvS(U_76,U_74) ) ),
    inference(definitional_conversion,[status(esa)],[f_23_3]) ).

cnf(f_23_5,plain,
    ( rs(U_74,U_76)
    | ~ rinvS(U_76,U_74) ),
    inference(clausify,[status(thm)],[f_23_4]) ).

cnf(f_23_6,plain,
    ( rinvS(U_77,U_75)
    | ~ rs(U_75,U_77) ),
    inference(clausify,[status(thm)],[f_23_4]) ).

fof(f_24_1,plain,
    cUnsatisfiable(i2003_11_14_17_21_22376),
    inference(fof_nnf,[status(thm)],[axiom_7]) ).

fof(f_24_2,plain,
    cUnsatisfiable(i2003_11_14_17_21_22376),
    inference(definitional_conversion,[status(esa)],[f_24_1]) ).

cnf(f_24_3,plain,
    cUnsatisfiable(i2003_11_14_17_21_22376),
    inference(clausify,[status(thm)],[f_24_2]) ).

fof(f_25_1,plain,
    ! [X,Y] :
      ( rr(X,Y)
      | ~ rs(X,Y) ),
    inference(fof_nnf,[status(thm)],[axiom_8]) ).

fof(f_25_2,plain,
    ! [U_79,U_78] :
      ( rr(U_79,U_78)
      | ~ rs(U_79,U_78) ),
    inference(variable_rename,[status(thm)],[f_25_1]) ).

fof(f_25_3,plain,
    ! [U_78,U_79] :
      ( rr(U_79,U_78)
      | ~ rs(U_79,U_78) ),
    inference(definitional_conversion,[status(esa)],[f_25_2]) ).

cnf(f_25_4,plain,
    ( rr(U_79,U_78)
    | ~ rs(U_79,U_78) ),
    inference(clausify,[status(thm)],[f_25_3]) ).

cnf(equality_1,axiom,
    Eq_x_0 = Eq_x_0,
    theory(equality,[reflexivity]) ).

cnf(equality_2,axiom,
    ( Eq_x_1 = Eq_x_0
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[symmetry]) ).

cnf(equality_3,axiom,
    ( Eq_x_0 = Eq_x_2
    | Eq_x_1 != Eq_x_2
    | Eq_x_0 != Eq_x_1 ),
    theory(equality,[transitivity]) ).

cnf(equality_4,axiom,
    ( sK1(Eq_x_0) = sK1(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_5,axiom,
    ( sK2(Eq_x_0) = sK2(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_6,axiom,
    ( sK3(Eq_x_0) = sK3(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_7,axiom,
    ( sK4(Eq_x_0) = sK4(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_8,axiom,
    ( sK5(Eq_x_0) = sK5(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_9,axiom,
    ( sK6(Eq_x_0) = sK6(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_10,axiom,
    ( sK7(Eq_x_0) = sK7(Eq_y_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_functions]) ).

cnf(equality_11,axiom,
    ( cUnsatisfiable(Eq_y_0)
    | ~ cUnsatisfiable(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_12,axiom,
    ( ca_Vx2(Eq_y_0)
    | ~ ca_Vx2(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_13,axiom,
    ( cowlNothing(Eq_y_0)
    | ~ cowlNothing(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_14,axiom,
    ( cowlThing(Eq_y_0)
    | ~ cowlThing(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_15,axiom,
    ( cp(Eq_y_0)
    | ~ cp(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_16,axiom,
    ( cpxcomp(Eq_y_0)
    | ~ cpxcomp(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_17,axiom,
    ( ra_Px1(Eq_y_0,Eq_y_1)
    | ~ ra_Px1(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_18,axiom,
    ( rinvS(Eq_y_0,Eq_y_1)
    | ~ rinvS(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_19,axiom,
    ( rr(Eq_y_0,Eq_y_1)
    | ~ rr(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_20,axiom,
    ( rs(Eq_y_0,Eq_y_1)
    | ~ rs(Eq_x_0,Eq_x_1)
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_21,axiom,
    ( xsd_integer(Eq_y_0)
    | ~ xsd_integer(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_22,axiom,
    ( xsd_string(Eq_y_0)
    | ~ xsd_string(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_23,axiom,
    ( sP0(Eq_y_0,Eq_y_1,Eq_y_2)
    | ~ sP0(Eq_x_0,Eq_x_1,Eq_x_2)
    | Eq_x_2 != Eq_y_2
    | Eq_x_1 != Eq_y_1
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_24,axiom,
    ( sP1(Eq_y_0)
    | ~ sP1(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(equality_25,axiom,
    ( sP2(Eq_y_0)
    | ~ sP2(Eq_x_0)
    | Eq_x_0 != Eq_y_0 ),
    theory(equality,[substitution_predicates]) ).

cnf(sat_proved,plain,
    $false,
    inference(cadical,[status(thm)],[]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS113+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03  This is a FOF_UNS_RFO_SEQ problem
% 0.00/0.03  % Command  : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35  % Computer : n004.cluster.edu
% 0.08/0.35  % Model    : x86_64 x86_64
% 0.08/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35  % Memory   : 8046.5625MB
% 0.08/0.35  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Sat Sep 19 12:12:34 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 6.04/6.40  % SZS status Unsatisfiable for theBenchmark
% 6.04/6.40  % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------