↑ Up

Drodi-SAT---4.1.1.SAT-Sat.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : KRS043+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.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 01:00:09 PM UTC 2026

% Result   : Satisfiable 0.17s 0.42s
% Output   : Saturation 0.17s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f40,axiom,
    ! [X] :
      ( ~ cowlNothing(X)
      & cowlThing(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f41,axiom,
    ! [X] :
      ( xsd_string(X)
    <=> ~ xsd_integer(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f42,axiom,
    ! [X] :
      ( cSatisfiable(X)
    <=> ? [Y] :
          ( ca_Ax14(Y)
          & rinvR(X,Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    ! [X] :
      ( cp1(X)
     => ca_Cx1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,axiom,
    ! [X] :
      ( cp2(X)
    <=> ? [Y0] : ra_Px5(X,Y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,axiom,
    ! [X] :
      ( cp2(X)
     => ca_Cx2(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,axiom,
    ! [X] :
      ( cp2xcomp(X)
    <=> ~ ? [Y] : ra_Px5(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f47,axiom,
    ! [X] :
      ( cp3(X)
    <=> ? [Y0] : ra_Px6(X,Y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f48,axiom,
    ! [X] :
      ( cp3(X)
     => ca_Cx3(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f49,axiom,
    ! [X] :
      ( cp3xcomp(X)
    <=> ~ ? [Y] : ra_Px6(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f50,axiom,
    ! [X] :
      ( cp4(X)
    <=> ~ ? [Y] : ra_Px7(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f51,axiom,
    ! [X] :
      ( cp4(X)
     => cp5xcomp(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f52,axiom,
    ! [X] :
      ( cp4xcomp(X)
    <=> ? [Y0] : ra_Px7(X,Y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f53,axiom,
    ! [X] :
      ( cp5(X)
    <=> ~ ? [Y] : ra_Px4(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f54,axiom,
    ! [X] :
      ( cp5xcomp(X)
    <=> ? [Y0] : ra_Px4(X,Y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f55,axiom,
    ! [X] :
      ( ca_Ax14(X)
    <=> ( ! [Y0,Y1] :
            ( ( rr(X,Y1)
              & rr(X,Y0) )
           => Y0 = Y1 )
        & ? [Y] :
            ( cp1(Y)
            & rr(X,Y) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,axiom,
    ! [X] :
      ( ca_Cx1(X)
    <=> ? [Y0] : ra_Px1(X,Y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f57,axiom,
    ! [X] :
      ( ca_Cx1(X)
    <=> ( cp4xcomp(X)
        & cp3xcomp(X)
        & cp2xcomp(X)
        & cp5xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f58,axiom,
    ! [X] :
      ( ca_Cx1xcomp(X)
    <=> ~ ? [Y] : ra_Px1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f59,axiom,
    ! [X] :
      ( ca_Cx2(X)
    <=> ~ ? [Y] : ra_Px2(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f60,axiom,
    ! [X] :
      ( ca_Cx2(X)
    <=> ( cp4xcomp(X)
        & cp3xcomp(X)
        & cp5xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f61,axiom,
    ! [X] :
      ( ca_Cx2xcomp(X)
    <=> ? [Y0] : ra_Px2(X,Y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f62,axiom,
    ! [X] :
      ( ca_Cx3(X)
    <=> ( cp4xcomp(X)
        & cp5xcomp(X) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f63,axiom,
    ! [X] :
      ( ca_Cx3(X)
    <=> ~ ? [Y] : ra_Px3(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f64,axiom,
    ! [X] :
      ( ca_Cx3xcomp(X)
    <=> ? [Y0] : ra_Px3(X,Y0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f65,axiom,
    ! [X,Y] :
      ( rinvR(X,Y)
    <=> rr(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f66,axiom,
    cSatisfiable(i2003_11_14_17_16_14536),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f184,plain,
    ( ! [X] : ~ cowlNothing(X)
    & ! [X] : cowlThing(X) ),
    inference(miniscoping,[status(thm)],[f40]) ).

fof(f185,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[status(thm)],[f184]) ).

fof(f186,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[status(thm)],[f184]) ).

fof(f187,plain,
    ! [X] :
      ( ( xsd_integer(X)
        | xsd_string(X) )
      & ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(NNF_transformation,[status(thm)],[f41]) ).

fof(f188,plain,
    ( ! [X] :
        ( xsd_integer(X)
        | xsd_string(X) )
    & ! [X] :
        ( ~ xsd_integer(X)
        | ~ xsd_string(X) ) ),
    inference(miniscoping,[status(thm)],[f187]) ).

fof(f189,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f188]) ).

fof(f190,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[status(thm)],[f188]) ).

fof(f191,plain,
    ! [X] :
      ( ( ! [Y] :
            ( ~ ca_Ax14(Y)
            | ~ rinvR(X,Y) )
        | cSatisfiable(X) )
      & ( ? [Y] :
            ( ca_Ax14(Y)
            & rinvR(X,Y) )
        | ~ cSatisfiable(X) ) ),
    inference(NNF_transformation,[status(thm)],[f42]) ).

fof(f192,plain,
    ( ! [X] :
        ( ! [Y] :
            ( ~ ca_Ax14(Y)
            | ~ rinvR(X,Y) )
        | cSatisfiable(X) )
    & ! [X] :
        ( ? [Y] :
            ( ca_Ax14(Y)
            & rinvR(X,Y) )
        | ~ cSatisfiable(X) ) ),
    inference(miniscoping,[status(thm)],[f191]) ).

fof(f193,plain,
    ( ! [X] :
        ( ! [Y] :
            ( ~ ca_Ax14(Y)
            | ~ rinvR(X,Y) )
        | cSatisfiable(X) )
    & ! [X] :
        ( ( ca_Ax14(sK0_skl(X))
          & rinvR(X,sK0_skl(X)) )
        | ~ cSatisfiable(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f192]) ).

fof(f194,plain,
    ! [X0] :
      ( rinvR(X0,sK0_skl(X0))
      | ~ cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f195,plain,
    ! [X0] :
      ( ca_Ax14(sK0_skl(X0))
      | ~ cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f196,plain,
    ! [X0,X1] :
      ( ~ ca_Ax14(X1)
      | ~ rinvR(X0,X1)
      | cSatisfiable(X0) ),
    inference(cnf_transformation,[status(thm)],[f193]) ).

fof(f197,plain,
    ! [X] :
      ( ca_Cx1(X)
      | ~ cp1(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f43]) ).

fof(f198,plain,
    ! [X0] :
      ( ca_Cx1(X0)
      | ~ cp1(X0) ),
    inference(cnf_transformation,[status(thm)],[f197]) ).

fof(f199,plain,
    ! [X] :
      ( ( ! [Y0] : ~ ra_Px5(X,Y0)
        | cp2(X) )
      & ( ? [Y0] : ra_Px5(X,Y0)
        | ~ cp2(X) ) ),
    inference(NNF_transformation,[status(thm)],[f44]) ).

fof(f200,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px5(X,Y0)
        | cp2(X) )
    & ! [X] :
        ( ? [Y0] : ra_Px5(X,Y0)
        | ~ cp2(X) ) ),
    inference(miniscoping,[status(thm)],[f199]) ).

fof(f201,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px5(X,Y0)
        | cp2(X) )
    & ! [X] :
        ( ra_Px5(X,sK1_skl(X))
        | ~ cp2(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y0,sK1_skl(X))],[f200]) ).

fof(f202,plain,
    ! [X0] :
      ( ra_Px5(X0,sK1_skl(X0))
      | ~ cp2(X0) ),
    inference(cnf_transformation,[status(thm)],[f201]) ).

fof(f203,plain,
    ! [X0,X1] :
      ( ~ ra_Px5(X0,X1)
      | cp2(X0) ),
    inference(cnf_transformation,[status(thm)],[f201]) ).

fof(f204,plain,
    ! [X] :
      ( ca_Cx2(X)
      | ~ cp2(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f45]) ).

fof(f205,plain,
    ! [X0] :
      ( ca_Cx2(X0)
      | ~ cp2(X0) ),
    inference(cnf_transformation,[status(thm)],[f204]) ).

fof(f206,plain,
    ! [X] :
      ( cp2xcomp(X)
    <=> ! [Y] : ~ ra_Px5(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f46]) ).

fof(f207,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px5(X,Y)
        | cp2xcomp(X) )
      & ( ! [Y] : ~ ra_Px5(X,Y)
        | ~ cp2xcomp(X) ) ),
    inference(NNF_transformation,[status(thm)],[f206]) ).

fof(f208,plain,
    ( ! [X] :
        ( ? [Y] : ra_Px5(X,Y)
        | cp2xcomp(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px5(X,Y)
        | ~ cp2xcomp(X) ) ),
    inference(miniscoping,[status(thm)],[f207]) ).

fof(f209,plain,
    ( ! [X] :
        ( ra_Px5(X,sK2_skl(X))
        | cp2xcomp(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px5(X,Y)
        | ~ cp2xcomp(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(Y,sK2_skl(X))],[f208]) ).

fof(f210,plain,
    ! [X0,X1] :
      ( ~ ra_Px5(X0,X1)
      | ~ cp2xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f209]) ).

fof(f211,plain,
    ! [X0] :
      ( ra_Px5(X0,sK2_skl(X0))
      | cp2xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f209]) ).

fof(f212,plain,
    ! [X] :
      ( ( ! [Y0] : ~ ra_Px6(X,Y0)
        | cp3(X) )
      & ( ? [Y0] : ra_Px6(X,Y0)
        | ~ cp3(X) ) ),
    inference(NNF_transformation,[status(thm)],[f47]) ).

fof(f213,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px6(X,Y0)
        | cp3(X) )
    & ! [X] :
        ( ? [Y0] : ra_Px6(X,Y0)
        | ~ cp3(X) ) ),
    inference(miniscoping,[status(thm)],[f212]) ).

fof(f214,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px6(X,Y0)
        | cp3(X) )
    & ! [X] :
        ( ra_Px6(X,sK3_skl(X))
        | ~ cp3(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(Y0,sK3_skl(X))],[f213]) ).

fof(f215,plain,
    ! [X0] :
      ( ra_Px6(X0,sK3_skl(X0))
      | ~ cp3(X0) ),
    inference(cnf_transformation,[status(thm)],[f214]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( ~ ra_Px6(X0,X1)
      | cp3(X0) ),
    inference(cnf_transformation,[status(thm)],[f214]) ).

fof(f217,plain,
    ! [X] :
      ( ca_Cx3(X)
      | ~ cp3(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f48]) ).

fof(f218,plain,
    ! [X0] :
      ( ca_Cx3(X0)
      | ~ cp3(X0) ),
    inference(cnf_transformation,[status(thm)],[f217]) ).

fof(f219,plain,
    ! [X] :
      ( cp3xcomp(X)
    <=> ! [Y] : ~ ra_Px6(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f49]) ).

fof(f220,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px6(X,Y)
        | cp3xcomp(X) )
      & ( ! [Y] : ~ ra_Px6(X,Y)
        | ~ cp3xcomp(X) ) ),
    inference(NNF_transformation,[status(thm)],[f219]) ).

fof(f221,plain,
    ( ! [X] :
        ( ? [Y] : ra_Px6(X,Y)
        | cp3xcomp(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px6(X,Y)
        | ~ cp3xcomp(X) ) ),
    inference(miniscoping,[status(thm)],[f220]) ).

fof(f222,plain,
    ( ! [X] :
        ( ra_Px6(X,sK4_skl(X))
        | cp3xcomp(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px6(X,Y)
        | ~ cp3xcomp(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(Y,sK4_skl(X))],[f221]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( ~ ra_Px6(X0,X1)
      | ~ cp3xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f222]) ).

fof(f224,plain,
    ! [X0] :
      ( ra_Px6(X0,sK4_skl(X0))
      | cp3xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f222]) ).

fof(f225,plain,
    ! [X] :
      ( cp4(X)
    <=> ! [Y] : ~ ra_Px7(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f50]) ).

fof(f226,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px7(X,Y)
        | cp4(X) )
      & ( ! [Y] : ~ ra_Px7(X,Y)
        | ~ cp4(X) ) ),
    inference(NNF_transformation,[status(thm)],[f225]) ).

fof(f227,plain,
    ( ! [X] :
        ( ? [Y] : ra_Px7(X,Y)
        | cp4(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px7(X,Y)
        | ~ cp4(X) ) ),
    inference(miniscoping,[status(thm)],[f226]) ).

fof(f228,plain,
    ( ! [X] :
        ( ra_Px7(X,sK5_skl(X))
        | cp4(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px7(X,Y)
        | ~ cp4(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl]),skolemize(Y,sK5_skl(X))],[f227]) ).

fof(f229,plain,
    ! [X0,X1] :
      ( ~ ra_Px7(X0,X1)
      | ~ cp4(X0) ),
    inference(cnf_transformation,[status(thm)],[f228]) ).

fof(f230,plain,
    ! [X0] :
      ( ra_Px7(X0,sK5_skl(X0))
      | cp4(X0) ),
    inference(cnf_transformation,[status(thm)],[f228]) ).

fof(f231,plain,
    ! [X] :
      ( cp5xcomp(X)
      | ~ cp4(X) ),
    inference(pre_NNF_transformation,[status(thm)],[f51]) ).

fof(f232,plain,
    ! [X0] :
      ( cp5xcomp(X0)
      | ~ cp4(X0) ),
    inference(cnf_transformation,[status(thm)],[f231]) ).

fof(f233,plain,
    ! [X] :
      ( ( ! [Y0] : ~ ra_Px7(X,Y0)
        | cp4xcomp(X) )
      & ( ? [Y0] : ra_Px7(X,Y0)
        | ~ cp4xcomp(X) ) ),
    inference(NNF_transformation,[status(thm)],[f52]) ).

fof(f234,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px7(X,Y0)
        | cp4xcomp(X) )
    & ! [X] :
        ( ? [Y0] : ra_Px7(X,Y0)
        | ~ cp4xcomp(X) ) ),
    inference(miniscoping,[status(thm)],[f233]) ).

fof(f235,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px7(X,Y0)
        | cp4xcomp(X) )
    & ! [X] :
        ( ra_Px7(X,sK6_skl(X))
        | ~ cp4xcomp(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK6_skl]),skolemize(Y0,sK6_skl(X))],[f234]) ).

fof(f236,plain,
    ! [X0] :
      ( ra_Px7(X0,sK6_skl(X0))
      | ~ cp4xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f235]) ).

fof(f237,plain,
    ! [X0,X1] :
      ( ~ ra_Px7(X0,X1)
      | cp4xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f235]) ).

fof(f238,plain,
    ! [X] :
      ( cp5(X)
    <=> ! [Y] : ~ ra_Px4(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f53]) ).

fof(f239,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px4(X,Y)
        | cp5(X) )
      & ( ! [Y] : ~ ra_Px4(X,Y)
        | ~ cp5(X) ) ),
    inference(NNF_transformation,[status(thm)],[f238]) ).

fof(f240,plain,
    ( ! [X] :
        ( ? [Y] : ra_Px4(X,Y)
        | cp5(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px4(X,Y)
        | ~ cp5(X) ) ),
    inference(miniscoping,[status(thm)],[f239]) ).

fof(f241,plain,
    ( ! [X] :
        ( ra_Px4(X,sK7_skl(X))
        | cp5(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px4(X,Y)
        | ~ cp5(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(Y,sK7_skl(X))],[f240]) ).

fof(f242,plain,
    ! [X0,X1] :
      ( ~ ra_Px4(X0,X1)
      | ~ cp5(X0) ),
    inference(cnf_transformation,[status(thm)],[f241]) ).

fof(f243,plain,
    ! [X0] :
      ( ra_Px4(X0,sK7_skl(X0))
      | cp5(X0) ),
    inference(cnf_transformation,[status(thm)],[f241]) ).

fof(f244,plain,
    ! [X] :
      ( ( ! [Y0] : ~ ra_Px4(X,Y0)
        | cp5xcomp(X) )
      & ( ? [Y0] : ra_Px4(X,Y0)
        | ~ cp5xcomp(X) ) ),
    inference(NNF_transformation,[status(thm)],[f54]) ).

fof(f245,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px4(X,Y0)
        | cp5xcomp(X) )
    & ! [X] :
        ( ? [Y0] : ra_Px4(X,Y0)
        | ~ cp5xcomp(X) ) ),
    inference(miniscoping,[status(thm)],[f244]) ).

fof(f246,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px4(X,Y0)
        | cp5xcomp(X) )
    & ! [X] :
        ( ra_Px4(X,sK8_skl(X))
        | ~ cp5xcomp(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(Y0,sK8_skl(X))],[f245]) ).

fof(f247,plain,
    ! [X0] :
      ( ra_Px4(X0,sK8_skl(X0))
      | ~ cp5xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f246]) ).

fof(f248,plain,
    ! [X0,X1] :
      ( ~ ra_Px4(X0,X1)
      | cp5xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f246]) ).

fof(f249,plain,
    ! [X] :
      ( ca_Ax14(X)
    <=> ( ! [Y0,Y1] :
            ( Y0 = Y1
            | ~ rr(X,Y1)
            | ~ rr(X,Y0) )
        & ? [Y] :
            ( cp1(Y)
            & rr(X,Y) ) ) ),
    inference(pre_NNF_transformation,[status(thm)],[f55]) ).

fof(f250,plain,
    ! [X] :
      ( ( ? [Y0,Y1] :
            ( Y0 != Y1
            & rr(X,Y1)
            & rr(X,Y0) )
        | ! [Y] :
            ( ~ cp1(Y)
            | ~ rr(X,Y) )
        | ca_Ax14(X) )
      & ( ( ! [Y0,Y1] :
              ( Y0 = Y1
              | ~ rr(X,Y1)
              | ~ rr(X,Y0) )
          & ? [Y] :
              ( cp1(Y)
              & rr(X,Y) ) )
        | ~ ca_Ax14(X) ) ),
    inference(NNF_transformation,[status(thm)],[f249]) ).

fof(f251,plain,
    ( ! [X] :
        ( ? [Y0,Y1] :
            ( Y0 != Y1
            & rr(X,Y1)
            & rr(X,Y0) )
        | ! [Y] :
            ( ~ cp1(Y)
            | ~ rr(X,Y) )
        | ca_Ax14(X) )
    & ! [X] :
        ( ( ! [Y0,Y1] :
              ( Y0 = Y1
              | ~ rr(X,Y1)
              | ~ rr(X,Y0) )
          & ? [Y] :
              ( cp1(Y)
              & rr(X,Y) ) )
        | ~ ca_Ax14(X) ) ),
    inference(miniscoping,[status(thm)],[f250]) ).

fof(f252,plain,
    ( ! [X] :
        ( ( sK10_skl(X) != sK11_skl(X)
          & rr(X,sK11_skl(X))
          & rr(X,sK10_skl(X)) )
        | ! [Y] :
            ( ~ cp1(Y)
            | ~ rr(X,Y) )
        | ca_Ax14(X) )
    & ! [X] :
        ( ( ! [Y0,Y1] :
              ( Y0 = Y1
              | ~ rr(X,Y1)
              | ~ rr(X,Y0) )
          & cp1(sK9_skl(X))
          & rr(X,sK9_skl(X)) )
        | ~ ca_Ax14(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl,sK11_skl]),skolemize(Y,sK9_skl(X)),skolemize(Y0,sK10_skl(X)),skolemize(Y1,sK11_skl(X))],[f251]) ).

fof(f253,plain,
    ! [X0] :
      ( rr(X0,sK9_skl(X0))
      | ~ ca_Ax14(X0) ),
    inference(cnf_transformation,[status(thm)],[f252]) ).

fof(f254,plain,
    ! [X0] :
      ( cp1(sK9_skl(X0))
      | ~ ca_Ax14(X0) ),
    inference(cnf_transformation,[status(thm)],[f252]) ).

fof(f255,plain,
    ! [X0,X1,X2] :
      ( X1 = X2
      | ~ rr(X0,X2)
      | ~ rr(X0,X1)
      | ~ ca_Ax14(X0) ),
    inference(cnf_transformation,[status(thm)],[f252]) ).

fof(f256,plain,
    ! [X0,X1] :
      ( rr(X0,sK10_skl(X0))
      | ~ cp1(X1)
      | ~ rr(X0,X1)
      | ca_Ax14(X0) ),
    inference(cnf_transformation,[status(thm)],[f252]) ).

fof(f257,plain,
    ! [X0,X1] :
      ( rr(X0,sK11_skl(X0))
      | ~ cp1(X1)
      | ~ rr(X0,X1)
      | ca_Ax14(X0) ),
    inference(cnf_transformation,[status(thm)],[f252]) ).

fof(f258,plain,
    ! [X0,X1] :
      ( sK10_skl(X0) != sK11_skl(X0)
      | ~ cp1(X1)
      | ~ rr(X0,X1)
      | ca_Ax14(X0) ),
    inference(cnf_transformation,[status(thm)],[f252]) ).

fof(f259,plain,
    ! [X] :
      ( ( ! [Y0] : ~ ra_Px1(X,Y0)
        | ca_Cx1(X) )
      & ( ? [Y0] : ra_Px1(X,Y0)
        | ~ ca_Cx1(X) ) ),
    inference(NNF_transformation,[status(thm)],[f56]) ).

fof(f260,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px1(X,Y0)
        | ca_Cx1(X) )
    & ! [X] :
        ( ? [Y0] : ra_Px1(X,Y0)
        | ~ ca_Cx1(X) ) ),
    inference(miniscoping,[status(thm)],[f259]) ).

fof(f261,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px1(X,Y0)
        | ca_Cx1(X) )
    & ! [X] :
        ( ra_Px1(X,sK12_skl(X))
        | ~ ca_Cx1(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl]),skolemize(Y0,sK12_skl(X))],[f260]) ).

fof(f262,plain,
    ! [X0] :
      ( ra_Px1(X0,sK12_skl(X0))
      | ~ ca_Cx1(X0) ),
    inference(cnf_transformation,[status(thm)],[f261]) ).

fof(f263,plain,
    ! [X0,X1] :
      ( ~ ra_Px1(X0,X1)
      | ca_Cx1(X0) ),
    inference(cnf_transformation,[status(thm)],[f261]) ).

fof(f264,plain,
    ! [X] :
      ( ( ~ cp4xcomp(X)
        | ~ cp3xcomp(X)
        | ~ cp2xcomp(X)
        | ~ cp5xcomp(X)
        | ca_Cx1(X) )
      & ( ( cp4xcomp(X)
          & cp3xcomp(X)
          & cp2xcomp(X)
          & cp5xcomp(X) )
        | ~ ca_Cx1(X) ) ),
    inference(NNF_transformation,[status(thm)],[f57]) ).

fof(f265,plain,
    ( ! [X] :
        ( ~ cp4xcomp(X)
        | ~ cp3xcomp(X)
        | ~ cp2xcomp(X)
        | ~ cp5xcomp(X)
        | ca_Cx1(X) )
    & ! [X] :
        ( ( cp4xcomp(X)
          & cp3xcomp(X)
          & cp2xcomp(X)
          & cp5xcomp(X) )
        | ~ ca_Cx1(X) ) ),
    inference(miniscoping,[status(thm)],[f264]) ).

fof(f266,plain,
    ! [X0] :
      ( cp5xcomp(X0)
      | ~ ca_Cx1(X0) ),
    inference(cnf_transformation,[status(thm)],[f265]) ).

fof(f267,plain,
    ! [X0] :
      ( cp2xcomp(X0)
      | ~ ca_Cx1(X0) ),
    inference(cnf_transformation,[status(thm)],[f265]) ).

fof(f268,plain,
    ! [X0] :
      ( cp3xcomp(X0)
      | ~ ca_Cx1(X0) ),
    inference(cnf_transformation,[status(thm)],[f265]) ).

fof(f269,plain,
    ! [X0] :
      ( cp4xcomp(X0)
      | ~ ca_Cx1(X0) ),
    inference(cnf_transformation,[status(thm)],[f265]) ).

fof(f270,plain,
    ! [X0] :
      ( ~ cp4xcomp(X0)
      | ~ cp3xcomp(X0)
      | ~ cp2xcomp(X0)
      | ~ cp5xcomp(X0)
      | ca_Cx1(X0) ),
    inference(cnf_transformation,[status(thm)],[f265]) ).

fof(f271,plain,
    ! [X] :
      ( ca_Cx1xcomp(X)
    <=> ! [Y] : ~ ra_Px1(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f58]) ).

fof(f272,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px1(X,Y)
        | ca_Cx1xcomp(X) )
      & ( ! [Y] : ~ ra_Px1(X,Y)
        | ~ ca_Cx1xcomp(X) ) ),
    inference(NNF_transformation,[status(thm)],[f271]) ).

fof(f273,plain,
    ( ! [X] :
        ( ? [Y] : ra_Px1(X,Y)
        | ca_Cx1xcomp(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px1(X,Y)
        | ~ ca_Cx1xcomp(X) ) ),
    inference(miniscoping,[status(thm)],[f272]) ).

fof(f274,plain,
    ( ! [X] :
        ( ra_Px1(X,sK13_skl(X))
        | ca_Cx1xcomp(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px1(X,Y)
        | ~ ca_Cx1xcomp(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(Y,sK13_skl(X))],[f273]) ).

fof(f275,plain,
    ! [X0,X1] :
      ( ~ ra_Px1(X0,X1)
      | ~ ca_Cx1xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f274]) ).

fof(f276,plain,
    ! [X0] :
      ( ra_Px1(X0,sK13_skl(X0))
      | ca_Cx1xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f274]) ).

fof(f277,plain,
    ! [X] :
      ( ca_Cx2(X)
    <=> ! [Y] : ~ ra_Px2(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f59]) ).

fof(f278,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px2(X,Y)
        | ca_Cx2(X) )
      & ( ! [Y] : ~ ra_Px2(X,Y)
        | ~ ca_Cx2(X) ) ),
    inference(NNF_transformation,[status(thm)],[f277]) ).

fof(f279,plain,
    ( ! [X] :
        ( ? [Y] : ra_Px2(X,Y)
        | ca_Cx2(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px2(X,Y)
        | ~ ca_Cx2(X) ) ),
    inference(miniscoping,[status(thm)],[f278]) ).

fof(f280,plain,
    ( ! [X] :
        ( ra_Px2(X,sK14_skl(X))
        | ca_Cx2(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px2(X,Y)
        | ~ ca_Cx2(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(Y,sK14_skl(X))],[f279]) ).

fof(f281,plain,
    ! [X0,X1] :
      ( ~ ra_Px2(X0,X1)
      | ~ ca_Cx2(X0) ),
    inference(cnf_transformation,[status(thm)],[f280]) ).

fof(f282,plain,
    ! [X0] :
      ( ra_Px2(X0,sK14_skl(X0))
      | ca_Cx2(X0) ),
    inference(cnf_transformation,[status(thm)],[f280]) ).

fof(f283,plain,
    ! [X] :
      ( ( ~ cp4xcomp(X)
        | ~ cp3xcomp(X)
        | ~ cp5xcomp(X)
        | ca_Cx2(X) )
      & ( ( cp4xcomp(X)
          & cp3xcomp(X)
          & cp5xcomp(X) )
        | ~ ca_Cx2(X) ) ),
    inference(NNF_transformation,[status(thm)],[f60]) ).

fof(f284,plain,
    ( ! [X] :
        ( ~ cp4xcomp(X)
        | ~ cp3xcomp(X)
        | ~ cp5xcomp(X)
        | ca_Cx2(X) )
    & ! [X] :
        ( ( cp4xcomp(X)
          & cp3xcomp(X)
          & cp5xcomp(X) )
        | ~ ca_Cx2(X) ) ),
    inference(miniscoping,[status(thm)],[f283]) ).

fof(f285,plain,
    ! [X0] :
      ( cp5xcomp(X0)
      | ~ ca_Cx2(X0) ),
    inference(cnf_transformation,[status(thm)],[f284]) ).

fof(f286,plain,
    ! [X0] :
      ( cp3xcomp(X0)
      | ~ ca_Cx2(X0) ),
    inference(cnf_transformation,[status(thm)],[f284]) ).

fof(f287,plain,
    ! [X0] :
      ( cp4xcomp(X0)
      | ~ ca_Cx2(X0) ),
    inference(cnf_transformation,[status(thm)],[f284]) ).

fof(f288,plain,
    ! [X0] :
      ( ~ cp4xcomp(X0)
      | ~ cp3xcomp(X0)
      | ~ cp5xcomp(X0)
      | ca_Cx2(X0) ),
    inference(cnf_transformation,[status(thm)],[f284]) ).

fof(f289,plain,
    ! [X] :
      ( ( ! [Y0] : ~ ra_Px2(X,Y0)
        | ca_Cx2xcomp(X) )
      & ( ? [Y0] : ra_Px2(X,Y0)
        | ~ ca_Cx2xcomp(X) ) ),
    inference(NNF_transformation,[status(thm)],[f61]) ).

fof(f290,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px2(X,Y0)
        | ca_Cx2xcomp(X) )
    & ! [X] :
        ( ? [Y0] : ra_Px2(X,Y0)
        | ~ ca_Cx2xcomp(X) ) ),
    inference(miniscoping,[status(thm)],[f289]) ).

fof(f291,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px2(X,Y0)
        | ca_Cx2xcomp(X) )
    & ! [X] :
        ( ra_Px2(X,sK15_skl(X))
        | ~ ca_Cx2xcomp(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(Y0,sK15_skl(X))],[f290]) ).

fof(f292,plain,
    ! [X0] :
      ( ra_Px2(X0,sK15_skl(X0))
      | ~ ca_Cx2xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f291]) ).

fof(f293,plain,
    ! [X0,X1] :
      ( ~ ra_Px2(X0,X1)
      | ca_Cx2xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f291]) ).

fof(f294,plain,
    ! [X] :
      ( ( ~ cp4xcomp(X)
        | ~ cp5xcomp(X)
        | ca_Cx3(X) )
      & ( ( cp4xcomp(X)
          & cp5xcomp(X) )
        | ~ ca_Cx3(X) ) ),
    inference(NNF_transformation,[status(thm)],[f62]) ).

fof(f295,plain,
    ( ! [X] :
        ( ~ cp4xcomp(X)
        | ~ cp5xcomp(X)
        | ca_Cx3(X) )
    & ! [X] :
        ( ( cp4xcomp(X)
          & cp5xcomp(X) )
        | ~ ca_Cx3(X) ) ),
    inference(miniscoping,[status(thm)],[f294]) ).

fof(f296,plain,
    ! [X0] :
      ( cp5xcomp(X0)
      | ~ ca_Cx3(X0) ),
    inference(cnf_transformation,[status(thm)],[f295]) ).

fof(f297,plain,
    ! [X0] :
      ( cp4xcomp(X0)
      | ~ ca_Cx3(X0) ),
    inference(cnf_transformation,[status(thm)],[f295]) ).

fof(f298,plain,
    ! [X0] :
      ( ~ cp4xcomp(X0)
      | ~ cp5xcomp(X0)
      | ca_Cx3(X0) ),
    inference(cnf_transformation,[status(thm)],[f295]) ).

fof(f299,plain,
    ! [X] :
      ( ca_Cx3(X)
    <=> ! [Y] : ~ ra_Px3(X,Y) ),
    inference(pre_NNF_transformation,[status(thm)],[f63]) ).

fof(f300,plain,
    ! [X] :
      ( ( ? [Y] : ra_Px3(X,Y)
        | ca_Cx3(X) )
      & ( ! [Y] : ~ ra_Px3(X,Y)
        | ~ ca_Cx3(X) ) ),
    inference(NNF_transformation,[status(thm)],[f299]) ).

fof(f301,plain,
    ( ! [X] :
        ( ? [Y] : ra_Px3(X,Y)
        | ca_Cx3(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px3(X,Y)
        | ~ ca_Cx3(X) ) ),
    inference(miniscoping,[status(thm)],[f300]) ).

fof(f302,plain,
    ( ! [X] :
        ( ra_Px3(X,sK16_skl(X))
        | ca_Cx3(X) )
    & ! [X] :
        ( ! [Y] : ~ ra_Px3(X,Y)
        | ~ ca_Cx3(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK16_skl]),skolemize(Y,sK16_skl(X))],[f301]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( ~ ra_Px3(X0,X1)
      | ~ ca_Cx3(X0) ),
    inference(cnf_transformation,[status(thm)],[f302]) ).

fof(f304,plain,
    ! [X0] :
      ( ra_Px3(X0,sK16_skl(X0))
      | ca_Cx3(X0) ),
    inference(cnf_transformation,[status(thm)],[f302]) ).

fof(f305,plain,
    ! [X] :
      ( ( ! [Y0] : ~ ra_Px3(X,Y0)
        | ca_Cx3xcomp(X) )
      & ( ? [Y0] : ra_Px3(X,Y0)
        | ~ ca_Cx3xcomp(X) ) ),
    inference(NNF_transformation,[status(thm)],[f64]) ).

fof(f306,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px3(X,Y0)
        | ca_Cx3xcomp(X) )
    & ! [X] :
        ( ? [Y0] : ra_Px3(X,Y0)
        | ~ ca_Cx3xcomp(X) ) ),
    inference(miniscoping,[status(thm)],[f305]) ).

fof(f307,plain,
    ( ! [X] :
        ( ! [Y0] : ~ ra_Px3(X,Y0)
        | ca_Cx3xcomp(X) )
    & ! [X] :
        ( ra_Px3(X,sK17_skl(X))
        | ~ ca_Cx3xcomp(X) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl]),skolemize(Y0,sK17_skl(X))],[f306]) ).

fof(f308,plain,
    ! [X0] :
      ( ra_Px3(X0,sK17_skl(X0))
      | ~ ca_Cx3xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f307]) ).

fof(f309,plain,
    ! [X0,X1] :
      ( ~ ra_Px3(X0,X1)
      | ca_Cx3xcomp(X0) ),
    inference(cnf_transformation,[status(thm)],[f307]) ).

fof(f310,plain,
    ! [X,Y] :
      ( ( ~ rr(Y,X)
        | rinvR(X,Y) )
      & ( rr(Y,X)
        | ~ rinvR(X,Y) ) ),
    inference(NNF_transformation,[status(thm)],[f65]) ).

fof(f311,plain,
    ( ! [X,Y] :
        ( ~ rr(Y,X)
        | rinvR(X,Y) )
    & ! [X,Y] :
        ( rr(Y,X)
        | ~ rinvR(X,Y) ) ),
    inference(miniscoping,[status(thm)],[f310]) ).

fof(f312,plain,
    ! [X0,X1] :
      ( rr(X1,X0)
      | ~ rinvR(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f311]) ).

fof(f313,plain,
    ! [X0,X1] :
      ( ~ rr(X1,X0)
      | rinvR(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f311]) ).

fof(f314,plain,
    cSatisfiable(i2003_11_14_17_16_14536),
    inference(cnf_transformation,[status(thm)],[f66]) ).

fof(f316,plain,
    rinvR(i2003_11_14_17_16_14536,sK0_skl(i2003_11_14_17_16_14536)),
    inference(resolution,[status(thm)],[f194,f314]) ).

fof(f317,plain,
    ca_Ax14(sK0_skl(i2003_11_14_17_16_14536)),
    inference(resolution,[status(thm)],[f195,f314]) ).

fof(f318,plain,
    ! [X0] :
      ( cp2xcomp(X0)
      | cp2(X0) ),
    inference(resolution,[status(thm)],[f203,f211]) ).

fof(f319,plain,
    ! [X0] :
      ( ra_Px5(X0,sK1_skl(X0))
      | cp2xcomp(X0) ),
    inference(resolution,[status(thm)],[f318,f202]) ).

fof(f320,plain,
    ! [X0] :
      ( ca_Cx2(X0)
      | cp2xcomp(X0) ),
    inference(resolution,[status(thm)],[f318,f205]) ).

fof(f324,plain,
    ! [X0] :
      ( cp3xcomp(X0)
      | cp3(X0) ),
    inference(resolution,[status(thm)],[f216,f224]) ).

fof(f325,plain,
    ! [X0] :
      ( ra_Px6(X0,sK3_skl(X0))
      | cp3xcomp(X0) ),
    inference(resolution,[status(thm)],[f324,f215]) ).

fof(f326,plain,
    ! [X0] :
      ( ca_Cx3(X0)
      | cp3xcomp(X0) ),
    inference(resolution,[status(thm)],[f324,f218]) ).

fof(f331,plain,
    ! [X0] :
      ( cp4(X0)
      | cp4xcomp(X0) ),
    inference(resolution,[status(thm)],[f237,f230]) ).

fof(f332,plain,
    ! [X0] :
      ( cp5xcomp(X0)
      | cp4xcomp(X0) ),
    inference(resolution,[status(thm)],[f331,f232]) ).

fof(f334,plain,
    ! [X0] :
      ( ra_Px7(X0,sK6_skl(X0))
      | cp5xcomp(X0) ),
    inference(resolution,[status(thm)],[f332,f236]) ).

fof(f337,plain,
    ! [X0] :
      ( cp5(X0)
      | cp5xcomp(X0) ),
    inference(resolution,[status(thm)],[f248,f243]) ).

fof(f338,plain,
    cp1(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))),
    inference(resolution,[status(thm)],[f317,f254]) ).

fof(f339,plain,
    rr(sK0_skl(i2003_11_14_17_16_14536),sK9_skl(sK0_skl(i2003_11_14_17_16_14536))),
    inference(resolution,[status(thm)],[f317,f253]) ).

fof(f340,plain,
    ! [X0] :
      ( ca_Cx1xcomp(X0)
      | ca_Cx1(X0) ),
    inference(resolution,[status(thm)],[f263,f276]) ).

fof(f346,plain,
    ! [X0] :
      ( ca_Cx2(X0)
      | ca_Cx2xcomp(X0) ),
    inference(resolution,[status(thm)],[f293,f282]) ).

fof(f349,plain,
    ! [X0] :
      ( ca_Cx2(X0)
      | ra_Px2(X0,sK15_skl(X0)) ),
    inference(resolution,[status(thm)],[f292,f346]) ).

fof(f353,plain,
    ! [X0] :
      ( ca_Cx3(X0)
      | ca_Cx3xcomp(X0) ),
    inference(resolution,[status(thm)],[f309,f304]) ).

fof(f354,plain,
    ! [X0] :
      ( ra_Px3(X0,sK17_skl(X0))
      | ca_Cx3(X0) ),
    inference(resolution,[status(thm)],[f353,f308]) ).

fof(f357,plain,
    rr(sK0_skl(i2003_11_14_17_16_14536),i2003_11_14_17_16_14536),
    inference(resolution,[status(thm)],[f316,f312]) ).

fof(f358,plain,
    ( ~ ca_Ax14(sK0_skl(i2003_11_14_17_16_14536))
    | cSatisfiable(i2003_11_14_17_16_14536) ),
    inference(resolution,[status(thm)],[f316,f196]) ).

fof(f359,definition,
    ( sQ0_spl
  <=> cSatisfiable(i2003_11_14_17_16_14536) ),
    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).

fof(f362,definition,
    ( sQ1_spl
  <=> ca_Ax14(sK0_skl(i2003_11_14_17_16_14536)) ),
    introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).

fof(f364,plain,
    ( sQ1_spl
    | ~ ca_Ax14(sK0_skl(i2003_11_14_17_16_14536)) ),
    inference(component_clause,[status(thm)],[f362]) ).

fof(f365,plain,
    ( ~ sQ1_spl
    | sQ0_spl ),
    inference(split_clause,[status(thm)],[f358,f359,f362]) ).

fof(f366,plain,
    ca_Cx1(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))),
    inference(resolution,[status(thm)],[f338,f198]) ).

fof(f367,plain,
    rinvR(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)),sK0_skl(i2003_11_14_17_16_14536)),
    inference(resolution,[status(thm)],[f339,f313]) ).

fof(f368,plain,
    ! [X0] :
      ( X0 = sK9_skl(sK0_skl(i2003_11_14_17_16_14536))
      | ~ rr(sK0_skl(i2003_11_14_17_16_14536),X0)
      | ~ ca_Ax14(sK0_skl(i2003_11_14_17_16_14536)) ),
    inference(resolution,[status(thm)],[f339,f255]) ).

fof(f371,definition,
    ! [X0] :
      ( sQ2_spl
    <=> ( X0 = sK9_skl(sK0_skl(i2003_11_14_17_16_14536))
        | ~ rr(sK0_skl(i2003_11_14_17_16_14536),X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).

fof(f372,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | X0 = sK9_skl(sK0_skl(i2003_11_14_17_16_14536))
      | ~ rr(sK0_skl(i2003_11_14_17_16_14536),X0) ),
    inference(component_clause,[status(thm)],[f371]) ).

fof(f374,plain,
    ( sQ2_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f368,f362,f371]) ).

fof(f375,definition,
    ( sQ3_spl
  <=> cp1(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).

fof(f377,plain,
    ( sQ3_spl
    | ~ cp1(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(component_clause,[status(thm)],[f375]) ).

fof(f378,definition,
    ( sQ4_spl
  <=> rr(sK0_skl(i2003_11_14_17_16_14536),sK11_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).

fof(f379,plain,
    ( ~ sQ4_spl
    | rr(sK0_skl(i2003_11_14_17_16_14536),sK11_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(component_clause,[status(thm)],[f378]) ).

fof(f382,definition,
    ( sQ5_spl
  <=> rr(sK0_skl(i2003_11_14_17_16_14536),sK10_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).

fof(f383,plain,
    ( ~ sQ5_spl
    | rr(sK0_skl(i2003_11_14_17_16_14536),sK10_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(component_clause,[status(thm)],[f382]) ).

fof(f386,plain,
    ( sQ3_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f377,f338]) ).

fof(f387,plain,
    sQ3_spl,
    inference(contradiction_clause,[status(thm)],[f386]) ).

fof(f389,plain,
    ! [X0] :
      ( X0 = i2003_11_14_17_16_14536
      | ~ rr(sK0_skl(i2003_11_14_17_16_14536),X0)
      | ~ ca_Ax14(sK0_skl(i2003_11_14_17_16_14536)) ),
    inference(resolution,[status(thm)],[f357,f255]) ).

fof(f392,definition,
    ! [X0] :
      ( sQ6_spl
    <=> ( X0 = i2003_11_14_17_16_14536
        | ~ rr(sK0_skl(i2003_11_14_17_16_14536),X0) ) ),
    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).

fof(f393,plain,
    ! [X0] :
      ( ~ sQ6_spl
      | X0 = i2003_11_14_17_16_14536
      | ~ rr(sK0_skl(i2003_11_14_17_16_14536),X0) ),
    inference(component_clause,[status(thm)],[f392]) ).

fof(f395,plain,
    ( sQ6_spl
    | ~ sQ1_spl ),
    inference(split_clause,[status(thm)],[f389,f362,f392]) ).

fof(f396,definition,
    ( sQ7_spl
  <=> cp1(i2003_11_14_17_16_14536) ),
    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).

fof(f397,plain,
    ( ~ sQ7_spl
    | cp1(i2003_11_14_17_16_14536) ),
    inference(component_clause,[status(thm)],[f396]) ).

fof(f398,plain,
    ( sQ7_spl
    | ~ cp1(i2003_11_14_17_16_14536) ),
    inference(component_clause,[status(thm)],[f396]) ).

fof(f401,plain,
    ( sQ1_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f364,f317]) ).

fof(f402,plain,
    sQ1_spl,
    inference(contradiction_clause,[status(thm)],[f401]) ).

fof(f403,plain,
    ra_Px1(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)),sK12_skl(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))),
    inference(resolution,[status(thm)],[f366,f262]) ).

fof(f404,plain,
    cp4xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))),
    inference(resolution,[status(thm)],[f366,f269]) ).

fof(f405,plain,
    cp3xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))),
    inference(resolution,[status(thm)],[f366,f268]) ).

fof(f406,plain,
    cp2xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))),
    inference(resolution,[status(thm)],[f366,f267]) ).

fof(f407,plain,
    cp5xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))),
    inference(resolution,[status(thm)],[f366,f266]) ).

fof(f409,plain,
    ( ~ ca_Ax14(sK0_skl(i2003_11_14_17_16_14536))
    | cSatisfiable(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(resolution,[status(thm)],[f367,f196]) ).

fof(f410,definition,
    ( sQ8_spl
  <=> cSatisfiable(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).

fof(f411,plain,
    ( ~ sQ8_spl
    | cSatisfiable(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(component_clause,[status(thm)],[f410]) ).

fof(f413,plain,
    ( ~ sQ1_spl
    | sQ8_spl ),
    inference(split_clause,[status(thm)],[f409,f410,f362]) ).

fof(f414,plain,
    ( ~ cp5xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ca_Cx3(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(resolution,[status(thm)],[f404,f298]) ).

fof(f415,plain,
    ( ~ cp3xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ~ cp2xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ~ cp5xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ca_Cx1(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(resolution,[status(thm)],[f404,f270]) ).

fof(f416,plain,
    ra_Px7(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)),sK6_skl(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))),
    inference(resolution,[status(thm)],[f404,f236]) ).

fof(f417,definition,
    ( sQ9_spl
  <=> ca_Cx3(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).

fof(f418,plain,
    ( ~ sQ9_spl
    | ca_Cx3(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(component_clause,[status(thm)],[f417]) ).

fof(f420,definition,
    ( sQ10_spl
  <=> cp5xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).

fof(f422,plain,
    ( sQ10_spl
    | ~ cp5xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(component_clause,[status(thm)],[f420]) ).

fof(f423,plain,
    ( ~ sQ10_spl
    | sQ9_spl ),
    inference(split_clause,[status(thm)],[f414,f417,f420]) ).

fof(f424,definition,
    ( sQ11_spl
  <=> ca_Cx1(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).

fof(f427,definition,
    ( sQ12_spl
  <=> cp2xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).

fof(f428,plain,
    ( ~ sQ12_spl
    | cp2xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(component_clause,[status(thm)],[f427]) ).

fof(f429,plain,
    ( sQ12_spl
    | ~ cp2xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(component_clause,[status(thm)],[f427]) ).

fof(f430,definition,
    ( sQ13_spl
  <=> cp3xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).

fof(f432,plain,
    ( sQ13_spl
    | ~ cp3xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(component_clause,[status(thm)],[f430]) ).

fof(f433,plain,
    ( ~ sQ13_spl
    | ~ sQ12_spl
    | ~ sQ10_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f415,f424,f420,f427,f430]) ).

fof(f434,plain,
    ( sQ10_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f422,f407]) ).

fof(f435,plain,
    sQ10_spl,
    inference(contradiction_clause,[status(thm)],[f434]) ).

fof(f436,plain,
    ( sQ13_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f432,f405]) ).

fof(f437,plain,
    sQ13_spl,
    inference(contradiction_clause,[status(thm)],[f436]) ).

fof(f438,plain,
    ( ~ cp4xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ~ cp5xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ca_Cx2(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(resolution,[status(thm)],[f405,f288]) ).

fof(f439,plain,
    ( ~ cp4xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ~ cp2xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ~ cp5xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ca_Cx1(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(resolution,[status(thm)],[f405,f270]) ).

fof(f440,definition,
    ( sQ14_spl
  <=> ca_Cx2(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).

fof(f441,plain,
    ( ~ sQ14_spl
    | ca_Cx2(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(component_clause,[status(thm)],[f440]) ).

fof(f443,definition,
    ( sQ15_spl
  <=> cp4xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).

fof(f445,plain,
    ( sQ15_spl
    | ~ cp4xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(component_clause,[status(thm)],[f443]) ).

fof(f446,plain,
    ( ~ sQ15_spl
    | ~ sQ10_spl
    | sQ14_spl ),
    inference(split_clause,[status(thm)],[f438,f440,f420,f443]) ).

fof(f447,plain,
    ( ~ sQ15_spl
    | ~ sQ12_spl
    | ~ sQ10_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f439,f424,f420,f427,f443]) ).

fof(f448,plain,
    ( sQ15_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f445,f404]) ).

fof(f449,plain,
    sQ15_spl,
    inference(contradiction_clause,[status(thm)],[f448]) ).

fof(f450,plain,
    ( ~ cp4xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ~ cp3xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ~ cp5xcomp(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))
    | ca_Cx1(sK9_skl(sK0_skl(i2003_11_14_17_16_14536))) ),
    inference(resolution,[status(thm)],[f406,f270]) ).

fof(f451,plain,
    ( ~ sQ15_spl
    | ~ sQ13_spl
    | ~ sQ10_spl
    | sQ11_spl ),
    inference(split_clause,[status(thm)],[f450,f424,f420,f430,f443]) ).

fof(f452,plain,
    ra_Px4(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)),sK8_skl(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)))),
    inference(resolution,[status(thm)],[f407,f247]) ).

fof(f453,plain,
    ( ~ sQ2_spl
    | i2003_11_14_17_16_14536 = sK9_skl(sK0_skl(i2003_11_14_17_16_14536)) ),
    inference(resolution,[status(thm)],[f372,f357]) ).

fof(f455,plain,
    ! [X0] :
      ( ~ sQ2_spl
      | X0 = i2003_11_14_17_16_14536
      | ~ rr(sK0_skl(i2003_11_14_17_16_14536),X0) ),
    inference(backward_demodulation,[status(thm)],[f453,f372]) ).

fof(f456,plain,
    ( ~ sQ2_spl
    | cp5xcomp(i2003_11_14_17_16_14536) ),
    inference(backward_demodulation,[status(thm)],[f453,f407]) ).

fof(f457,plain,
    ( ~ sQ2_spl
    | cp2xcomp(i2003_11_14_17_16_14536) ),
    inference(backward_demodulation,[status(thm)],[f453,f406]) ).

fof(f458,plain,
    ( ~ sQ2_spl
    | cp3xcomp(i2003_11_14_17_16_14536) ),
    inference(backward_demodulation,[status(thm)],[f453,f405]) ).

fof(f459,plain,
    ( ~ sQ2_spl
    | cp4xcomp(i2003_11_14_17_16_14536) ),
    inference(backward_demodulation,[status(thm)],[f453,f404]) ).

fof(f461,plain,
    ( ~ sQ2_spl
    | ca_Cx1(i2003_11_14_17_16_14536) ),
    inference(backward_demodulation,[status(thm)],[f453,f366]) ).

fof(f463,plain,
    ( ~ sQ2_spl
    | cp1(i2003_11_14_17_16_14536) ),
    inference(backward_demodulation,[status(thm)],[f453,f338]) ).

fof(f464,plain,
    ( ~ sQ2_spl
    | ra_Px4(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)),sK8_skl(i2003_11_14_17_16_14536)) ),
    inference(backward_demodulation,[status(thm)],[f453,f452]) ).

fof(f465,plain,
    ( ~ sQ14_spl
    | ~ sQ2_spl
    | ca_Cx2(i2003_11_14_17_16_14536) ),
    inference(backward_demodulation,[status(thm)],[f453,f441]) ).

fof(f466,plain,
    ( ~ sQ9_spl
    | ~ sQ2_spl
    | ca_Cx3(i2003_11_14_17_16_14536) ),
    inference(backward_demodulation,[status(thm)],[f453,f418]) ).

fof(f467,plain,
    ( ~ sQ2_spl
    | ra_Px7(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)),sK6_skl(i2003_11_14_17_16_14536)) ),
    inference(backward_demodulation,[status(thm)],[f453,f416]) ).

fof(f469,plain,
    ( ~ sQ2_spl
    | ra_Px1(sK9_skl(sK0_skl(i2003_11_14_17_16_14536)),sK12_skl(i2003_11_14_17_16_14536)) ),
    inference(backward_demodulation,[status(thm)],[f453,f403]) ).

fof(f470,plain,
    ( ~ sQ2_spl
    | ra_Px4(i2003_11_14_17_16_14536,sK8_skl(i2003_11_14_17_16_14536)) ),
    inference(forward_demodulation,[status(thm)],[f453,f464]) ).

fof(f471,plain,
    ( ~ sQ2_spl
    | ra_Px7(i2003_11_14_17_16_14536,sK6_skl(i2003_11_14_17_16_14536)) ),
    inference(forward_demodulation,[status(thm)],[f453,f467]) ).

fof(f472,plain,
    ( ~ sQ2_spl
    | ra_Px1(i2003_11_14_17_16_14536,sK12_skl(i2003_11_14_17_16_14536)) ),
    inference(forward_demodulation,[status(thm)],[f453,f469]) ).

fof(f481,plain,
    ( ~ sQ2_spl
    | ~ cp4xcomp(i2003_11_14_17_16_14536)
    | ~ cp3xcomp(i2003_11_14_17_16_14536)
    | ~ cp5xcomp(i2003_11_14_17_16_14536)
    | ca_Cx1(i2003_11_14_17_16_14536) ),
    inference(resolution,[status(thm)],[f457,f270]) ).

fof(f482,definition,
    ( sQ16_spl
  <=> ca_Cx1(i2003_11_14_17_16_14536) ),
    introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).

fof(f483,plain,
    ( ~ sQ16_spl
    | ca_Cx1(i2003_11_14_17_16_14536) ),
    inference(component_clause,[status(thm)],[f482]) ).

fof(f485,definition,
    ( sQ17_spl
  <=> cp5xcomp(i2003_11_14_17_16_14536) ),
    introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).

fof(f486,plain,
    ( ~ sQ17_spl
    | cp5xcomp(i2003_11_14_17_16_14536) ),
    inference(component_clause,[status(thm)],[f485]) ).

fof(f487,plain,
    ( sQ17_spl
    | ~ cp5xcomp(i2003_11_14_17_16_14536) ),
    inference(component_clause,[status(thm)],[f485]) ).

fof(f488,definition,
    ( sQ18_spl
  <=> cp3xcomp(i2003_11_14_17_16_14536) ),
    introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).

fof(f489,plain,
    ( ~ sQ18_spl
    | cp3xcomp(i2003_11_14_17_16_14536) ),
    inference(component_clause,[status(thm)],[f488]) ).

fof(f490,plain,
    ( sQ18_spl
    | ~ cp3xcomp(i2003_11_14_17_16_14536) ),
    inference(component_clause,[status(thm)],[f488]) ).

fof(f491,definition,
    ( sQ19_spl
  <=> cp4xcomp(i2003_11_14_17_16_14536) ),
    introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).

fof(f492,plain,
    ( ~ sQ19_spl
    | cp4xcomp(i2003_11_14_17_16_14536) ),
    inference(component_clause,[status(thm)],[f491]) ).

fof(f493,plain,
    ( sQ19_spl
    | ~ cp4xcomp(i2003_11_14_17_16_14536) ),
    inference(component_clause,[status(thm)],[f491]) ).

fof(f494,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | ~ sQ18_spl
    | ~ sQ17_spl
    | sQ16_spl ),
    inference(split_clause,[status(thm)],[f481,f482,f485,f488,f491,f371]) ).

fof(f495,plain,
    ( sQ12_spl
    | ~ sQ2_spl
    | ~ cp2xcomp(i2003_11_14_17_16_14536) ),
    inference(forward_demodulation,[status(thm)],[f453,f429]) ).

fof(f496,plain,
    ( sQ12_spl
    | ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f495,f457]) ).

fof(f497,plain,
    ( sQ12_spl
    | ~ sQ2_spl ),
    inference(contradiction_clause,[status(thm)],[f496]) ).

fof(f498,plain,
    ( sQ7_spl
    | ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f398,f463]) ).

fof(f499,plain,
    ( sQ7_spl
    | ~ sQ2_spl ),
    inference(contradiction_clause,[status(thm)],[f498]) ).

fof(f500,plain,
    ( sQ19_spl
    | ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f493,f459]) ).

fof(f501,plain,
    ( sQ19_spl
    | ~ sQ2_spl ),
    inference(contradiction_clause,[status(thm)],[f500]) ).

fof(f503,plain,
    ( sQ18_spl
    | ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f490,f458]) ).

fof(f504,plain,
    ( sQ18_spl
    | ~ sQ2_spl ),
    inference(contradiction_clause,[status(thm)],[f503]) ).

fof(f505,plain,
    ( ~ sQ2_spl
    | ~ cp4xcomp(i2003_11_14_17_16_14536)
    | ~ cp5xcomp(i2003_11_14_17_16_14536)
    | ca_Cx2(i2003_11_14_17_16_14536) ),
    inference(resolution,[status(thm)],[f458,f288]) ).

fof(f506,plain,
    ( ~ sQ2_spl
    | ~ cp4xcomp(i2003_11_14_17_16_14536)
    | ~ cp2xcomp(i2003_11_14_17_16_14536)
    | ~ cp5xcomp(i2003_11_14_17_16_14536)
    | ca_Cx1(i2003_11_14_17_16_14536) ),
    inference(resolution,[status(thm)],[f458,f270]) ).

fof(f507,definition,
    ( sQ20_spl
  <=> ca_Cx2(i2003_11_14_17_16_14536) ),
    introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).

fof(f508,plain,
    ( ~ sQ20_spl
    | ca_Cx2(i2003_11_14_17_16_14536) ),
    inference(component_clause,[status(thm)],[f507]) ).

fof(f510,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | ~ sQ17_spl
    | sQ20_spl ),
    inference(split_clause,[status(thm)],[f505,f507,f485,f491,f371]) ).

fof(f511,definition,
    ( sQ21_spl
  <=> cp2xcomp(i2003_11_14_17_16_14536) ),
    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).

fof(f514,plain,
    ( ~ sQ2_spl
    | ~ sQ19_spl
    | ~ sQ21_spl
    | ~ sQ17_spl
    | sQ16_spl ),
    inference(split_clause,[status(thm)],[f506,f482,f485,f511,f491,f371]) ).

fof(f515,plain,
    ( sQ17_spl
    | ~ sQ2_spl
    | $false ),
    inference(forward_subsumption_resolution,[status(thm)],[f487,f456]) ).

fof(f516,plain,
    ( sQ17_spl
    | ~ sQ2_spl ),
    inference(contradiction_clause,[status(thm)],[f515]) ).

fof(f517,plain,
    ( ~ sQ2_spl
    | ~ cp5xcomp(i2003_11_14_17_16_14536)
    | ca_Cx3(i2003_11_14_17_16_14536) ),
    inference(resolution,[status(thm)],[f459,f298]) ).

fof(f518,plain,
    ( ~ sQ2_spl
    | ~ cp3xcomp(i2003_11_14_17_16_14536)
    | ~ cp2xcomp(i2003_11_14_17_16_14536)
    | ~ cp5xcomp(i2003_11_14_17_16_14536)
    | ca_Cx1(i2003_11_14_17_16_14536) ),
    inference(resolution,[status(thm)],[f459,f270]) ).

fof(f520,definition,
    ( sQ22_spl
  <=> ca_Cx3(i2003_11_14_17_16_14536) ),
    introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).

fof(f521,plain,
    ( ~ sQ22_spl
    | ca_Cx3(i2003_11_14_17_16_14536) ),
    inference(component_clause,[status(thm)],[f520]) ).

fof(f523,plain,
    ( ~ sQ2_spl
    | ~ sQ17_spl
    | sQ22_spl ),
    inference(split_clause,[status(thm)],[f517,f520,f485,f371]) ).

fof(f524,plain,
    ( ~ sQ2_spl
    | ~ sQ18_spl
    | ~ sQ21_spl
    | ~ sQ17_spl
    | sQ16_spl ),
    inference(split_clause,[status(thm)],[f518,f482,f485,f511,f488,f371]) ).

fof(f528,plain,
    ( ~ sQ2_spl
    | ~ ca_Cx1xcomp(i2003_11_14_17_16_14536) ),
    inference(resolution,[status(thm)],[f472,f275]) ).

fof(f531,plain,
    ( ~ sQ2_spl
    | ~ cp5(i2003_11_14_17_16_14536) ),
    inference(resolution,[status(thm)],[f470,f242]) ).

fof(f535,plain,
    ( ~ sQ2_spl
    | ~ cp4(i2003_11_14_17_16_14536) ),
    inference(resolution,[status(thm)],[f471,f229]) ).

fof(model,axiom,
    ( sQ0_spl
    | sQ1_spl
    | sQ2_spl
    | sQ3_spl
    | sQ6_spl
    | sQ7_spl
    | sQ8_spl
    | sQ9_spl
    | sQ10_spl
    | sQ11_spl
    | sQ12_spl
    | sQ13_spl
    | sQ14_spl
    | sQ15_spl
    | sQ16_spl
    | sQ17_spl
    | sQ18_spl
    | sQ19_spl
    | sQ20_spl
    | sQ22_spl ) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : KRS043+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.39  % Computer : n019.cluster.edu
% 0.13/0.39  % Model    : x86_64 x86_64
% 0.13/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39  % Memory   : 8046.5625MB
% 0.13/0.39  % OS       : Linux 6.8.0-71-generic
% 0.13/0.39  % CPULimit : 300
% 0.13/0.39  % WCLimit  : 300
% 0.13/0.39  % DateTime : Sun Sep 20 22:51:51 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.40  % Drodi V4.1.1
% 0.17/0.42  % SZS status Satisfiable for theBenchmark: Theory is satisfiable
% 0.17/0.42  % SZS output start Saturation for theBenchmark
% See solution above
% 0.17/0.46  % Elapsed time: 0.054844 seconds
% 0.17/0.46  % CPU time: 0.042071 seconds
% 0.17/0.46  % Total memory used: 1.280 MB
% 0.17/0.46  % Net memory used: 1.252 MB
%------------------------------------------------------------------------------