%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS159+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:59:50 PM UTC 2026
% Result : Theorem 0.18s 0.64s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 171
% Syntax : Number of formulae : 739 ( 127 unt; 95 def)
% Number of atoms : 2367 ( 0 equ)
% Maximal formula atoms : 56 ( 3 avg)
% Number of connectives : 2731 (1103 ~;1139 |; 339 &)
% ( 149 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 55 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 165 ( 164 usr; 96 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 12 con; 0-1 aty)
% Number of variables : 458 ( 406 !; 52 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] :
( cC10(X)
<=> ( cC4(X)
& cC8(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X] :
( cC108(X)
<=> ( cC106xcomp(X)
& cC98xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X] :
( cC110(X)
<=> ( cTOP(X)
& cC108(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] :
( cC112(X)
<=> ( cC90(X)
& cC110(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( cC114(X)
<=> cTOP(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [X] :
( cC116(X)
<=> ( cC112(X)
& cC114(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X] :
( cC132(X)
<=> ( cTOP(X)
& cC130(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X] :
( cC134(X)
<=> ( cC132(X)
& cC116(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X] :
( cC136(X)
<=> cTOP(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [X] :
( cC138(X)
<=> ( cC134(X)
& cC136(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] :
( cC14(X)
<=> ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
! [X] :
( cC154(X)
<=> ( cTOP(X)
& cC152(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,axiom,
! [X] :
( cC156(X)
<=> ( cC138(X)
& cC154(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [X] :
( cC158(X)
<=> ( cC156(X)
& cC22(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
! [X] :
( cC16(X)
<=> ( cC14(X)
& cC10(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f81,axiom,
! [X] :
( cC168(X)
<=> ( cC166xcomp(X)
& cC162xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [X] :
( cC174(X)
<=> ( cC168(X)
& cC172xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f95,axiom,
! [X] :
( cC18(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,axiom,
! [X] :
( cC18xcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,axiom,
! [X] :
( cC180(X)
<=> ( cC178xcomp(X)
& cC174(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
! [X] :
( cC20(X)
<=> ? [Y] :
( cC18xcomp(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,axiom,
! [X] :
( cC22(X)
<=> ( cC16(X)
& cC20(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,axiom,
! [X] :
( cC24(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f112,axiom,
! [X] :
( cC30(X)
<=> ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f121,axiom,
! [X] :
( cC38(X)
<=> ( cTOP(X)
& cC36(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f122,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [X] :
( cC40(X)
<=> cTOP(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f124,axiom,
! [X] :
( cC42(X)
<=> ( cC38(X)
& cC40(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f126,axiom,
! [X] :
( cC44(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f134,axiom,
! [X] :
( cC50(X)
<=> ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f144,axiom,
! [X] :
( cC58(X)
<=> ( cTOP(X)
& cC56(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f147,axiom,
! [X] :
( cC60(X)
<=> ( cC42(X)
& cC58(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f148,axiom,
! [X] :
( cC62(X)
<=> cTOP(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f149,axiom,
! [X] :
( cC64(X)
<=> ( cC62(X)
& cC60(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f151,axiom,
! [X] :
( cC66(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f159,axiom,
! [X] :
( cC72(X)
<=> ? [Y0] : ra_Px24(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f160,axiom,
! [X] :
( cC72(X)
<=> ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f161,axiom,
! [X] :
( cC72xcomp(X)
<=> ~ ? [Y] : ra_Px24(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f162,axiom,
! [X] :
( cC74(X)
<=> ( cC18xcomp(X)
& cC72xcomp(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [X] :
( cC74(X)
<=> ? [Y0] : ra_Px87(X,Y0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [X] :
( cC74xcomp(X)
<=> ~ ? [Y] : ra_Px87(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f170,axiom,
! [X] :
( cC80(X)
<=> ( cTOP(X)
& cC78(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f171,axiom,
! [X] :
( cC82(X)
<=> ( cC80(X)
& cC64(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f172,axiom,
! [X] :
( cC84(X)
<=> cTOP(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f173,axiom,
! [X] :
( cC86(X)
<=> ( cC84(X)
& cC82(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f174,axiom,
! [X] :
( cC88(X)
<=> cTOP(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [X] :
( cC90(X)
<=> ( cC88(X)
& cC86(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f187,axiom,
! [X] :
( cTEST(X)
<=> ( cC180(X)
& cC158(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f191,axiom,
cTOP(iV21026),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f197,axiom,
cC98xcomp(iV21026),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f199,axiom,
cC166xcomp(iV21026),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f200,axiom,
cC106xcomp(iV21026),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f214,axiom,
cC162xcomp(iV21026),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f217,axiom,
cC172xcomp(iV21026),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f221,axiom,
cC178xcomp(iV21026),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f222,axiom,
cTEST(iV21026),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f223,axiom,
rR1(iV21026,iV21030),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f224,axiom,
rR1(iV21026,iV21027),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f226,axiom,
rR1(iV21026,iV21029),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f238,axiom,
cC2xcomp(iV21027),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f253,axiom,
rR1(iV21027,iV21036),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f254,axiom,
rR1(iV21027,iV21035),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f266,axiom,
cC12xcomp(iV21029),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f282,axiom,
rR1(iV21029,iV21034),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f283,axiom,
rR1(iV21029,iV21033),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f294,axiom,
cC18xcomp(iV21030),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f308,axiom,
cC74xcomp(iV21030),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f310,axiom,
rR1(iV21030,iV21032),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f313,axiom,
cC2xcomp(iV21032),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f320,axiom,
cC12xcomp(iV21033),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f326,axiom,
cC2xcomp(iV21034),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f332,axiom,
cC12xcomp(iV21035),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f338,axiom,
cC2xcomp(iV21036),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f343,conjecture,
( cowlThing(iV21030)
& cC66(iV21030)
& cC72(iV21030)
& cowlThing(iV21029)
& cC44(iV21029)
& cC50(iV21029)
& cC24(iV21027)
& cowlThing(iV21027)
& cC30(iV21027)
& cC86(iV21026)
& cC156(iV21026)
& cC42(iV21026)
& cC134(iV21026)
& cC4(iV21026)
& cC168(iV21026)
& cC130(iV21026)
& cC88(iV21026)
& cC80(iV21026)
& cC152(iV21026)
& cC14(iV21026)
& cC82(iV21026)
& cC116(iV21026)
& cC64(iV21026)
& cC112(iV21026)
& cC36(iV21026)
& cC8(iV21026)
& cC62(iV21026)
& cC174(iV21026)
& cC138(iV21026)
& cC38(iV21026)
& cC84(iV21026)
& cC20(iV21026)
& cC114(iV21026)
& cC132(iV21026)
& cC16(iV21026)
& cC78(iV21026)
& cC180(iV21026)
& cC154(iV21026)
& cC60(iV21026)
& cC22(iV21026)
& cC110(iV21026)
& cC158(iV21026)
& cC56(iV21026)
& cC58(iV21026)
& cowlThing(iV21026)
& cC90(iV21026)
& cC10(iV21026)
& cC136(iV21026)
& cC40(iV21026)
& cC108(iV21026)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f344,negated_conjecture,
~ ( cowlThing(iV21030)
& cC66(iV21030)
& cC72(iV21030)
& cowlThing(iV21029)
& cC44(iV21029)
& cC50(iV21029)
& cC24(iV21027)
& cowlThing(iV21027)
& cC30(iV21027)
& cC86(iV21026)
& cC156(iV21026)
& cC42(iV21026)
& cC134(iV21026)
& cC4(iV21026)
& cC168(iV21026)
& cC130(iV21026)
& cC88(iV21026)
& cC80(iV21026)
& cC152(iV21026)
& cC14(iV21026)
& cC82(iV21026)
& cC116(iV21026)
& cC64(iV21026)
& cC112(iV21026)
& cC36(iV21026)
& cC8(iV21026)
& cC62(iV21026)
& cC174(iV21026)
& cC138(iV21026)
& cC38(iV21026)
& cC84(iV21026)
& cC20(iV21026)
& cC114(iV21026)
& cC132(iV21026)
& cC16(iV21026)
& cC78(iV21026)
& cC180(iV21026)
& cC154(iV21026)
& cC60(iV21026)
& cC22(iV21026)
& cC110(iV21026)
& cC158(iV21026)
& cC56(iV21026)
& cC58(iV21026)
& cowlThing(iV21026)
& cC90(iV21026)
& cC10(iV21026)
& cC136(iV21026)
& cC40(iV21026)
& cC108(iV21026)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negated_conjecture,[status(cth)],[f343]) ).
fof(f345,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f346,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f347,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[status(thm)],[f345]) ).
fof(f348,plain,
! [X] :
( ( xsd_integer(X)
| xsd_string(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(NNF_transformation,[status(thm)],[f2]) ).
fof(f349,plain,
( ! [X] :
( xsd_integer(X)
| xsd_string(X) )
& ! [X] :
( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(miniscoping,[status(thm)],[f348]) ).
fof(f350,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f351,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[status(thm)],[f349]) ).
fof(f352,plain,
! [X] :
( ( ~ cC4(X)
| ~ cC8(X)
| cC10(X) )
& ( ( cC4(X)
& cC8(X) )
| ~ cC10(X) ) ),
inference(NNF_transformation,[status(thm)],[f3]) ).
fof(f353,plain,
( ! [X] :
( ~ cC4(X)
| ~ cC8(X)
| cC10(X) )
& ! [X] :
( ( cC4(X)
& cC8(X) )
| ~ cC10(X) ) ),
inference(miniscoping,[status(thm)],[f352]) ).
fof(f354,plain,
! [X0] :
( cC8(X0)
| ~ cC10(X0) ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f356,plain,
! [X0] :
( ~ cC4(X0)
| ~ cC8(X0)
| cC10(X0) ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f418,plain,
! [X] :
( ( ~ cC106xcomp(X)
| ~ cC98xcomp(X)
| cC108(X) )
& ( ( cC106xcomp(X)
& cC98xcomp(X) )
| ~ cC108(X) ) ),
inference(NNF_transformation,[status(thm)],[f15]) ).
fof(f419,plain,
( ! [X] :
( ~ cC106xcomp(X)
| ~ cC98xcomp(X)
| cC108(X) )
& ! [X] :
( ( cC106xcomp(X)
& cC98xcomp(X) )
| ~ cC108(X) ) ),
inference(miniscoping,[status(thm)],[f418]) ).
fof(f422,plain,
! [X0] :
( ~ cC106xcomp(X0)
| ~ cC98xcomp(X0)
| cC108(X0) ),
inference(cnf_transformation,[status(thm)],[f419]) ).
fof(f423,plain,
! [X] :
( ( ~ cTOP(X)
| ~ cC108(X)
| cC110(X) )
& ( ( cTOP(X)
& cC108(X) )
| ~ cC110(X) ) ),
inference(NNF_transformation,[status(thm)],[f16]) ).
fof(f424,plain,
( ! [X] :
( ~ cTOP(X)
| ~ cC108(X)
| cC110(X) )
& ! [X] :
( ( cTOP(X)
& cC108(X) )
| ~ cC110(X) ) ),
inference(miniscoping,[status(thm)],[f423]) ).
fof(f427,plain,
! [X0] :
( ~ cTOP(X0)
| ~ cC108(X0)
| cC110(X0) ),
inference(cnf_transformation,[status(thm)],[f424]) ).
fof(f428,plain,
! [X] :
( ( ~ cC90(X)
| ~ cC110(X)
| cC112(X) )
& ( ( cC90(X)
& cC110(X) )
| ~ cC112(X) ) ),
inference(NNF_transformation,[status(thm)],[f17]) ).
fof(f429,plain,
( ! [X] :
( ~ cC90(X)
| ~ cC110(X)
| cC112(X) )
& ! [X] :
( ( cC90(X)
& cC110(X) )
| ~ cC112(X) ) ),
inference(miniscoping,[status(thm)],[f428]) ).
fof(f430,plain,
! [X0] :
( cC110(X0)
| ~ cC112(X0) ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f431,plain,
! [X0] :
( cC90(X0)
| ~ cC112(X0) ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f432,plain,
! [X0] :
( ~ cC90(X0)
| ~ cC110(X0)
| cC112(X0) ),
inference(cnf_transformation,[status(thm)],[f429]) ).
fof(f433,plain,
! [X] :
( ( ~ cTOP(X)
| cC114(X) )
& ( cTOP(X)
| ~ cC114(X) ) ),
inference(NNF_transformation,[status(thm)],[f18]) ).
fof(f434,plain,
( ! [X] :
( ~ cTOP(X)
| cC114(X) )
& ! [X] :
( cTOP(X)
| ~ cC114(X) ) ),
inference(miniscoping,[status(thm)],[f433]) ).
fof(f436,plain,
! [X0] :
( ~ cTOP(X0)
| cC114(X0) ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f437,plain,
! [X] :
( ( ~ cC112(X)
| ~ cC114(X)
| cC116(X) )
& ( ( cC112(X)
& cC114(X) )
| ~ cC116(X) ) ),
inference(NNF_transformation,[status(thm)],[f19]) ).
fof(f438,plain,
( ! [X] :
( ~ cC112(X)
| ~ cC114(X)
| cC116(X) )
& ! [X] :
( ( cC112(X)
& cC114(X) )
| ~ cC116(X) ) ),
inference(miniscoping,[status(thm)],[f437]) ).
fof(f440,plain,
! [X0] :
( cC112(X0)
| ~ cC116(X0) ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f441,plain,
! [X0] :
( ~ cC112(X0)
| ~ cC114(X0)
| cC116(X0) ),
inference(cnf_transformation,[status(thm)],[f438]) ).
fof(f558,plain,
! [X] :
( ( ~ cTOP(X)
| ~ cC130(X)
| cC132(X) )
& ( ( cTOP(X)
& cC130(X) )
| ~ cC132(X) ) ),
inference(NNF_transformation,[status(thm)],[f41]) ).
fof(f559,plain,
( ! [X] :
( ~ cTOP(X)
| ~ cC130(X)
| cC132(X) )
& ! [X] :
( ( cTOP(X)
& cC130(X) )
| ~ cC132(X) ) ),
inference(miniscoping,[status(thm)],[f558]) ).
fof(f560,plain,
! [X0] :
( cC130(X0)
| ~ cC132(X0) ),
inference(cnf_transformation,[status(thm)],[f559]) ).
fof(f562,plain,
! [X0] :
( ~ cTOP(X0)
| ~ cC130(X0)
| cC132(X0) ),
inference(cnf_transformation,[status(thm)],[f559]) ).
fof(f563,plain,
! [X] :
( ( ~ cC132(X)
| ~ cC116(X)
| cC134(X) )
& ( ( cC132(X)
& cC116(X) )
| ~ cC134(X) ) ),
inference(NNF_transformation,[status(thm)],[f42]) ).
fof(f564,plain,
( ! [X] :
( ~ cC132(X)
| ~ cC116(X)
| cC134(X) )
& ! [X] :
( ( cC132(X)
& cC116(X) )
| ~ cC134(X) ) ),
inference(miniscoping,[status(thm)],[f563]) ).
fof(f565,plain,
! [X0] :
( cC116(X0)
| ~ cC134(X0) ),
inference(cnf_transformation,[status(thm)],[f564]) ).
fof(f566,plain,
! [X0] :
( cC132(X0)
| ~ cC134(X0) ),
inference(cnf_transformation,[status(thm)],[f564]) ).
fof(f567,plain,
! [X0] :
( ~ cC132(X0)
| ~ cC116(X0)
| cC134(X0) ),
inference(cnf_transformation,[status(thm)],[f564]) ).
fof(f568,plain,
! [X] :
( ( ~ cTOP(X)
| cC136(X) )
& ( cTOP(X)
| ~ cC136(X) ) ),
inference(NNF_transformation,[status(thm)],[f43]) ).
fof(f569,plain,
( ! [X] :
( ~ cTOP(X)
| cC136(X) )
& ! [X] :
( cTOP(X)
| ~ cC136(X) ) ),
inference(miniscoping,[status(thm)],[f568]) ).
fof(f571,plain,
! [X0] :
( ~ cTOP(X0)
| cC136(X0) ),
inference(cnf_transformation,[status(thm)],[f569]) ).
fof(f572,plain,
! [X] :
( ( ~ cC134(X)
| ~ cC136(X)
| cC138(X) )
& ( ( cC134(X)
& cC136(X) )
| ~ cC138(X) ) ),
inference(NNF_transformation,[status(thm)],[f44]) ).
fof(f573,plain,
( ! [X] :
( ~ cC134(X)
| ~ cC136(X)
| cC138(X) )
& ! [X] :
( ( cC134(X)
& cC136(X) )
| ~ cC138(X) ) ),
inference(miniscoping,[status(thm)],[f572]) ).
fof(f575,plain,
! [X0] :
( cC134(X0)
| ~ cC138(X0) ),
inference(cnf_transformation,[status(thm)],[f573]) ).
fof(f576,plain,
! [X0] :
( ~ cC134(X0)
| ~ cC136(X0)
| cC138(X0) ),
inference(cnf_transformation,[status(thm)],[f573]) ).
fof(f577,plain,
! [X] :
( ( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC14(X) )
& ( ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) )
| ~ cC14(X) ) ),
inference(NNF_transformation,[status(thm)],[f45]) ).
fof(f578,plain,
( ! [X] :
( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC14(X) )
& ! [X] :
( ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) )
| ~ cC14(X) ) ),
inference(miniscoping,[status(thm)],[f577]) ).
fof(f579,plain,
( ! [X] :
( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC14(X) )
& ! [X] :
( ( cC12xcomp(sK28_skl(X))
& rR1(X,sK28_skl(X)) )
| ~ cC14(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28_skl]),skolemize(Y,sK28_skl(X))],[f578]) ).
fof(f580,plain,
! [X0] :
( rR1(X0,sK28_skl(X0))
| ~ cC14(X0) ),
inference(cnf_transformation,[status(thm)],[f579]) ).
fof(f581,plain,
! [X0] :
( cC12xcomp(sK28_skl(X0))
| ~ cC14(X0) ),
inference(cnf_transformation,[status(thm)],[f579]) ).
fof(f582,plain,
! [X0,X1] :
( ~ cC12xcomp(X1)
| ~ rR1(X0,X1)
| cC14(X0) ),
inference(cnf_transformation,[status(thm)],[f579]) ).
fof(f688,plain,
! [X] :
( ( ~ cTOP(X)
| ~ cC152(X)
| cC154(X) )
& ( ( cTOP(X)
& cC152(X) )
| ~ cC154(X) ) ),
inference(NNF_transformation,[status(thm)],[f65]) ).
fof(f689,plain,
( ! [X] :
( ~ cTOP(X)
| ~ cC152(X)
| cC154(X) )
& ! [X] :
( ( cTOP(X)
& cC152(X) )
| ~ cC154(X) ) ),
inference(miniscoping,[status(thm)],[f688]) ).
fof(f690,plain,
! [X0] :
( cC152(X0)
| ~ cC154(X0) ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f692,plain,
! [X0] :
( ~ cTOP(X0)
| ~ cC152(X0)
| cC154(X0) ),
inference(cnf_transformation,[status(thm)],[f689]) ).
fof(f693,plain,
! [X] :
( ( ~ cC138(X)
| ~ cC154(X)
| cC156(X) )
& ( ( cC138(X)
& cC154(X) )
| ~ cC156(X) ) ),
inference(NNF_transformation,[status(thm)],[f66]) ).
fof(f694,plain,
( ! [X] :
( ~ cC138(X)
| ~ cC154(X)
| cC156(X) )
& ! [X] :
( ( cC138(X)
& cC154(X) )
| ~ cC156(X) ) ),
inference(miniscoping,[status(thm)],[f693]) ).
fof(f695,plain,
! [X0] :
( cC154(X0)
| ~ cC156(X0) ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f696,plain,
! [X0] :
( cC138(X0)
| ~ cC156(X0) ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f697,plain,
! [X0] :
( ~ cC138(X0)
| ~ cC154(X0)
| cC156(X0) ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f698,plain,
! [X] :
( ( ~ cC156(X)
| ~ cC22(X)
| cC158(X) )
& ( ( cC156(X)
& cC22(X) )
| ~ cC158(X) ) ),
inference(NNF_transformation,[status(thm)],[f67]) ).
fof(f699,plain,
( ! [X] :
( ~ cC156(X)
| ~ cC22(X)
| cC158(X) )
& ! [X] :
( ( cC156(X)
& cC22(X) )
| ~ cC158(X) ) ),
inference(miniscoping,[status(thm)],[f698]) ).
fof(f700,plain,
! [X0] :
( cC22(X0)
| ~ cC158(X0) ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f701,plain,
! [X0] :
( cC156(X0)
| ~ cC158(X0) ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f702,plain,
! [X0] :
( ~ cC156(X0)
| ~ cC22(X0)
| cC158(X0) ),
inference(cnf_transformation,[status(thm)],[f699]) ).
fof(f703,plain,
! [X] :
( ( ~ cC14(X)
| ~ cC10(X)
| cC16(X) )
& ( ( cC14(X)
& cC10(X) )
| ~ cC16(X) ) ),
inference(NNF_transformation,[status(thm)],[f68]) ).
fof(f704,plain,
( ! [X] :
( ~ cC14(X)
| ~ cC10(X)
| cC16(X) )
& ! [X] :
( ( cC14(X)
& cC10(X) )
| ~ cC16(X) ) ),
inference(miniscoping,[status(thm)],[f703]) ).
fof(f705,plain,
! [X0] :
( cC10(X0)
| ~ cC16(X0) ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f707,plain,
! [X0] :
( ~ cC14(X0)
| ~ cC10(X0)
| cC16(X0) ),
inference(cnf_transformation,[status(thm)],[f704]) ).
fof(f776,plain,
! [X] :
( ( ~ cC166xcomp(X)
| ~ cC162xcomp(X)
| cC168(X) )
& ( ( cC166xcomp(X)
& cC162xcomp(X) )
| ~ cC168(X) ) ),
inference(NNF_transformation,[status(thm)],[f81]) ).
fof(f777,plain,
( ! [X] :
( ~ cC166xcomp(X)
| ~ cC162xcomp(X)
| cC168(X) )
& ! [X] :
( ( cC166xcomp(X)
& cC162xcomp(X) )
| ~ cC168(X) ) ),
inference(miniscoping,[status(thm)],[f776]) ).
fof(f780,plain,
! [X0] :
( ~ cC166xcomp(X0)
| ~ cC162xcomp(X0)
| cC168(X0) ),
inference(cnf_transformation,[status(thm)],[f777]) ).
fof(f815,plain,
! [X] :
( ( ~ cC168(X)
| ~ cC172xcomp(X)
| cC174(X) )
& ( ( cC168(X)
& cC172xcomp(X) )
| ~ cC174(X) ) ),
inference(NNF_transformation,[status(thm)],[f88]) ).
fof(f816,plain,
( ! [X] :
( ~ cC168(X)
| ~ cC172xcomp(X)
| cC174(X) )
& ! [X] :
( ( cC168(X)
& cC172xcomp(X) )
| ~ cC174(X) ) ),
inference(miniscoping,[status(thm)],[f815]) ).
fof(f819,plain,
! [X0] :
( ~ cC168(X0)
| ~ cC172xcomp(X0)
| cC174(X0) ),
inference(cnf_transformation,[status(thm)],[f816]) ).
fof(f854,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px2(X,Y0)
| cC18(X) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ cC18(X) ) ),
inference(NNF_transformation,[status(thm)],[f95]) ).
fof(f855,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px2(X,Y0)
| cC18(X) )
& ! [X] :
( ? [Y0] : ra_Px2(X,Y0)
| ~ cC18(X) ) ),
inference(miniscoping,[status(thm)],[f854]) ).
fof(f856,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px2(X,Y0)
| cC18(X) )
& ! [X] :
( ra_Px2(X,sK69_skl(X))
| ~ cC18(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69_skl]),skolemize(Y0,sK69_skl(X))],[f855]) ).
fof(f857,plain,
! [X0] :
( ra_Px2(X0,sK69_skl(X0))
| ~ cC18(X0) ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f858,plain,
! [X0,X1] :
( ~ ra_Px2(X0,X1)
| cC18(X0) ),
inference(cnf_transformation,[status(thm)],[f856]) ).
fof(f859,plain,
! [X] :
( cC18xcomp(X)
<=> ! [Y] : ~ ra_Px2(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f96]) ).
fof(f860,plain,
! [X] :
( ( ? [Y] : ra_Px2(X,Y)
| cC18xcomp(X) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ cC18xcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f859]) ).
fof(f861,plain,
( ! [X] :
( ? [Y] : ra_Px2(X,Y)
| cC18xcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px2(X,Y)
| ~ cC18xcomp(X) ) ),
inference(miniscoping,[status(thm)],[f860]) ).
fof(f862,plain,
( ! [X] :
( ra_Px2(X,sK70_skl(X))
| cC18xcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px2(X,Y)
| ~ cC18xcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70_skl]),skolemize(Y,sK70_skl(X))],[f861]) ).
fof(f863,plain,
! [X0,X1] :
( ~ ra_Px2(X0,X1)
| ~ cC18xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f862]) ).
fof(f864,plain,
! [X0] :
( ra_Px2(X0,sK70_skl(X0))
| cC18xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f862]) ).
fof(f865,plain,
! [X] :
( ( ~ cC178xcomp(X)
| ~ cC174(X)
| cC180(X) )
& ( ( cC178xcomp(X)
& cC174(X) )
| ~ cC180(X) ) ),
inference(NNF_transformation,[status(thm)],[f97]) ).
fof(f866,plain,
( ! [X] :
( ~ cC178xcomp(X)
| ~ cC174(X)
| cC180(X) )
& ! [X] :
( ( cC178xcomp(X)
& cC174(X) )
| ~ cC180(X) ) ),
inference(miniscoping,[status(thm)],[f865]) ).
fof(f869,plain,
! [X0] :
( ~ cC178xcomp(X0)
| ~ cC174(X0)
| cC180(X0) ),
inference(cnf_transformation,[status(thm)],[f866]) ).
fof(f881,plain,
! [X] :
( ( ! [Y] :
( ~ cC18xcomp(Y)
| ~ rR1(X,Y) )
| cC20(X) )
& ( ? [Y] :
( cC18xcomp(Y)
& rR1(X,Y) )
| ~ cC20(X) ) ),
inference(NNF_transformation,[status(thm)],[f100]) ).
fof(f882,plain,
( ! [X] :
( ! [Y] :
( ~ cC18xcomp(Y)
| ~ rR1(X,Y) )
| cC20(X) )
& ! [X] :
( ? [Y] :
( cC18xcomp(Y)
& rR1(X,Y) )
| ~ cC20(X) ) ),
inference(miniscoping,[status(thm)],[f881]) ).
fof(f883,plain,
( ! [X] :
( ! [Y] :
( ~ cC18xcomp(Y)
| ~ rR1(X,Y) )
| cC20(X) )
& ! [X] :
( ( cC18xcomp(sK73_skl(X))
& rR1(X,sK73_skl(X)) )
| ~ cC20(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73_skl]),skolemize(Y,sK73_skl(X))],[f882]) ).
fof(f886,plain,
! [X0,X1] :
( ~ cC18xcomp(X1)
| ~ rR1(X0,X1)
| cC20(X0) ),
inference(cnf_transformation,[status(thm)],[f883]) ).
fof(f887,plain,
! [X] :
( ( ~ cC16(X)
| ~ cC20(X)
| cC22(X) )
& ( ( cC16(X)
& cC20(X) )
| ~ cC22(X) ) ),
inference(NNF_transformation,[status(thm)],[f101]) ).
fof(f888,plain,
( ! [X] :
( ~ cC16(X)
| ~ cC20(X)
| cC22(X) )
& ! [X] :
( ( cC16(X)
& cC20(X) )
| ~ cC22(X) ) ),
inference(miniscoping,[status(thm)],[f887]) ).
fof(f890,plain,
! [X0] :
( cC16(X0)
| ~ cC22(X0) ),
inference(cnf_transformation,[status(thm)],[f888]) ).
fof(f897,plain,
! [X] :
( ( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC24(X) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC24(X) ) ),
inference(NNF_transformation,[status(thm)],[f103]) ).
fof(f898,plain,
( ! [X] :
( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC24(X) )
& ! [X] :
( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC24(X) ) ),
inference(miniscoping,[status(thm)],[f897]) ).
fof(f899,plain,
( ! [X] :
( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC24(X) )
& ! [X] :
( ( cC2xcomp(sK75_skl(X))
& rR1(X,sK75_skl(X)) )
| ~ cC24(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75_skl]),skolemize(Y,sK75_skl(X))],[f898]) ).
fof(f901,plain,
! [X0] :
( cC2xcomp(sK75_skl(X0))
| ~ cC24(X0) ),
inference(cnf_transformation,[status(thm)],[f899]) ).
fof(f902,plain,
! [X0,X1] :
( ~ cC2xcomp(X1)
| ~ rR1(X0,X1)
| cC24(X0) ),
inference(cnf_transformation,[status(thm)],[f899]) ).
fof(f947,plain,
! [X] :
( ( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC30(X) )
& ( ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) )
| ~ cC30(X) ) ),
inference(NNF_transformation,[status(thm)],[f112]) ).
fof(f948,plain,
( ! [X] :
( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC30(X) )
& ! [X] :
( ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) )
| ~ cC30(X) ) ),
inference(miniscoping,[status(thm)],[f947]) ).
fof(f949,plain,
( ! [X] :
( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC30(X) )
& ! [X] :
( ( cC12xcomp(sK83_skl(X))
& rR1(X,sK83_skl(X)) )
| ~ cC30(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83_skl]),skolemize(Y,sK83_skl(X))],[f948]) ).
fof(f950,plain,
! [X0] :
( rR1(X0,sK83_skl(X0))
| ~ cC30(X0) ),
inference(cnf_transformation,[status(thm)],[f949]) ).
fof(f951,plain,
! [X0] :
( cC12xcomp(sK83_skl(X0))
| ~ cC30(X0) ),
inference(cnf_transformation,[status(thm)],[f949]) ).
fof(f952,plain,
! [X0,X1] :
( ~ cC12xcomp(X1)
| ~ rR1(X0,X1)
| cC30(X0) ),
inference(cnf_transformation,[status(thm)],[f949]) ).
fof(f997,plain,
! [X] :
( ( ~ cTOP(X)
| ~ cC36(X)
| cC38(X) )
& ( ( cTOP(X)
& cC36(X) )
| ~ cC38(X) ) ),
inference(NNF_transformation,[status(thm)],[f121]) ).
fof(f998,plain,
( ! [X] :
( ~ cTOP(X)
| ~ cC36(X)
| cC38(X) )
& ! [X] :
( ( cTOP(X)
& cC36(X) )
| ~ cC38(X) ) ),
inference(miniscoping,[status(thm)],[f997]) ).
fof(f999,plain,
! [X0] :
( cC36(X0)
| ~ cC38(X0) ),
inference(cnf_transformation,[status(thm)],[f998]) ).
fof(f1001,plain,
! [X0] :
( ~ cTOP(X0)
| ~ cC36(X0)
| cC38(X0) ),
inference(cnf_transformation,[status(thm)],[f998]) ).
fof(f1002,plain,
! [X] :
( ( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC4(X) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC4(X) ) ),
inference(NNF_transformation,[status(thm)],[f122]) ).
fof(f1003,plain,
( ! [X] :
( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC4(X) )
& ! [X] :
( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC4(X) ) ),
inference(miniscoping,[status(thm)],[f1002]) ).
fof(f1004,plain,
( ! [X] :
( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC4(X) )
& ! [X] :
( ( cC2xcomp(sK90_skl(X))
& rR1(X,sK90_skl(X)) )
| ~ cC4(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90_skl]),skolemize(Y,sK90_skl(X))],[f1003]) ).
fof(f1005,plain,
! [X0] :
( rR1(X0,sK90_skl(X0))
| ~ cC4(X0) ),
inference(cnf_transformation,[status(thm)],[f1004]) ).
fof(f1006,plain,
! [X0] :
( cC2xcomp(sK90_skl(X0))
| ~ cC4(X0) ),
inference(cnf_transformation,[status(thm)],[f1004]) ).
fof(f1007,plain,
! [X0,X1] :
( ~ cC2xcomp(X1)
| ~ rR1(X0,X1)
| cC4(X0) ),
inference(cnf_transformation,[status(thm)],[f1004]) ).
fof(f1008,plain,
! [X] :
( ( ~ cTOP(X)
| cC40(X) )
& ( cTOP(X)
| ~ cC40(X) ) ),
inference(NNF_transformation,[status(thm)],[f123]) ).
fof(f1009,plain,
( ! [X] :
( ~ cTOP(X)
| cC40(X) )
& ! [X] :
( cTOP(X)
| ~ cC40(X) ) ),
inference(miniscoping,[status(thm)],[f1008]) ).
fof(f1011,plain,
! [X0] :
( ~ cTOP(X0)
| cC40(X0) ),
inference(cnf_transformation,[status(thm)],[f1009]) ).
fof(f1012,plain,
! [X] :
( ( ~ cC38(X)
| ~ cC40(X)
| cC42(X) )
& ( ( cC38(X)
& cC40(X) )
| ~ cC42(X) ) ),
inference(NNF_transformation,[status(thm)],[f124]) ).
fof(f1013,plain,
( ! [X] :
( ~ cC38(X)
| ~ cC40(X)
| cC42(X) )
& ! [X] :
( ( cC38(X)
& cC40(X) )
| ~ cC42(X) ) ),
inference(miniscoping,[status(thm)],[f1012]) ).
fof(f1015,plain,
! [X0] :
( cC38(X0)
| ~ cC42(X0) ),
inference(cnf_transformation,[status(thm)],[f1013]) ).
fof(f1016,plain,
! [X0] :
( ~ cC38(X0)
| ~ cC40(X0)
| cC42(X0) ),
inference(cnf_transformation,[status(thm)],[f1013]) ).
fof(f1023,plain,
! [X] :
( ( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC44(X) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC44(X) ) ),
inference(NNF_transformation,[status(thm)],[f126]) ).
fof(f1024,plain,
( ! [X] :
( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC44(X) )
& ! [X] :
( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC44(X) ) ),
inference(miniscoping,[status(thm)],[f1023]) ).
fof(f1025,plain,
( ! [X] :
( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC44(X) )
& ! [X] :
( ( cC2xcomp(sK92_skl(X))
& rR1(X,sK92_skl(X)) )
| ~ cC44(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92_skl]),skolemize(Y,sK92_skl(X))],[f1024]) ).
fof(f1026,plain,
! [X0] :
( rR1(X0,sK92_skl(X0))
| ~ cC44(X0) ),
inference(cnf_transformation,[status(thm)],[f1025]) ).
fof(f1027,plain,
! [X0] :
( cC2xcomp(sK92_skl(X0))
| ~ cC44(X0) ),
inference(cnf_transformation,[status(thm)],[f1025]) ).
fof(f1028,plain,
! [X0,X1] :
( ~ cC2xcomp(X1)
| ~ rR1(X0,X1)
| cC44(X0) ),
inference(cnf_transformation,[status(thm)],[f1025]) ).
fof(f1067,plain,
! [X] :
( ( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC50(X) )
& ( ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) )
| ~ cC50(X) ) ),
inference(NNF_transformation,[status(thm)],[f134]) ).
fof(f1068,plain,
( ! [X] :
( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC50(X) )
& ! [X] :
( ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) )
| ~ cC50(X) ) ),
inference(miniscoping,[status(thm)],[f1067]) ).
fof(f1069,plain,
( ! [X] :
( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC50(X) )
& ! [X] :
( ( cC12xcomp(sK99_skl(X))
& rR1(X,sK99_skl(X)) )
| ~ cC50(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK99_skl]),skolemize(Y,sK99_skl(X))],[f1068]) ).
fof(f1070,plain,
! [X0] :
( rR1(X0,sK99_skl(X0))
| ~ cC50(X0) ),
inference(cnf_transformation,[status(thm)],[f1069]) ).
fof(f1071,plain,
! [X0] :
( cC12xcomp(sK99_skl(X0))
| ~ cC50(X0) ),
inference(cnf_transformation,[status(thm)],[f1069]) ).
fof(f1072,plain,
! [X0,X1] :
( ~ cC12xcomp(X1)
| ~ rR1(X0,X1)
| cC50(X0) ),
inference(cnf_transformation,[status(thm)],[f1069]) ).
fof(f1122,plain,
! [X] :
( ( ~ cTOP(X)
| ~ cC56(X)
| cC58(X) )
& ( ( cTOP(X)
& cC56(X) )
| ~ cC58(X) ) ),
inference(NNF_transformation,[status(thm)],[f144]) ).
fof(f1123,plain,
( ! [X] :
( ~ cTOP(X)
| ~ cC56(X)
| cC58(X) )
& ! [X] :
( ( cTOP(X)
& cC56(X) )
| ~ cC58(X) ) ),
inference(miniscoping,[status(thm)],[f1122]) ).
fof(f1124,plain,
! [X0] :
( cC56(X0)
| ~ cC58(X0) ),
inference(cnf_transformation,[status(thm)],[f1123]) ).
fof(f1126,plain,
! [X0] :
( ~ cTOP(X0)
| ~ cC56(X0)
| cC58(X0) ),
inference(cnf_transformation,[status(thm)],[f1123]) ).
fof(f1138,plain,
! [X] :
( ( ~ cC42(X)
| ~ cC58(X)
| cC60(X) )
& ( ( cC42(X)
& cC58(X) )
| ~ cC60(X) ) ),
inference(NNF_transformation,[status(thm)],[f147]) ).
fof(f1139,plain,
( ! [X] :
( ~ cC42(X)
| ~ cC58(X)
| cC60(X) )
& ! [X] :
( ( cC42(X)
& cC58(X) )
| ~ cC60(X) ) ),
inference(miniscoping,[status(thm)],[f1138]) ).
fof(f1140,plain,
! [X0] :
( cC58(X0)
| ~ cC60(X0) ),
inference(cnf_transformation,[status(thm)],[f1139]) ).
fof(f1141,plain,
! [X0] :
( cC42(X0)
| ~ cC60(X0) ),
inference(cnf_transformation,[status(thm)],[f1139]) ).
fof(f1142,plain,
! [X0] :
( ~ cC42(X0)
| ~ cC58(X0)
| cC60(X0) ),
inference(cnf_transformation,[status(thm)],[f1139]) ).
fof(f1143,plain,
! [X] :
( ( ~ cTOP(X)
| cC62(X) )
& ( cTOP(X)
| ~ cC62(X) ) ),
inference(NNF_transformation,[status(thm)],[f148]) ).
fof(f1144,plain,
( ! [X] :
( ~ cTOP(X)
| cC62(X) )
& ! [X] :
( cTOP(X)
| ~ cC62(X) ) ),
inference(miniscoping,[status(thm)],[f1143]) ).
fof(f1146,plain,
! [X0] :
( ~ cTOP(X0)
| cC62(X0) ),
inference(cnf_transformation,[status(thm)],[f1144]) ).
fof(f1147,plain,
! [X] :
( ( ~ cC62(X)
| ~ cC60(X)
| cC64(X) )
& ( ( cC62(X)
& cC60(X) )
| ~ cC64(X) ) ),
inference(NNF_transformation,[status(thm)],[f149]) ).
fof(f1148,plain,
( ! [X] :
( ~ cC62(X)
| ~ cC60(X)
| cC64(X) )
& ! [X] :
( ( cC62(X)
& cC60(X) )
| ~ cC64(X) ) ),
inference(miniscoping,[status(thm)],[f1147]) ).
fof(f1149,plain,
! [X0] :
( cC60(X0)
| ~ cC64(X0) ),
inference(cnf_transformation,[status(thm)],[f1148]) ).
fof(f1151,plain,
! [X0] :
( ~ cC62(X0)
| ~ cC60(X0)
| cC64(X0) ),
inference(cnf_transformation,[status(thm)],[f1148]) ).
fof(f1157,plain,
! [X] :
( ( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC66(X) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC66(X) ) ),
inference(NNF_transformation,[status(thm)],[f151]) ).
fof(f1158,plain,
( ! [X] :
( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC66(X) )
& ! [X] :
( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC66(X) ) ),
inference(miniscoping,[status(thm)],[f1157]) ).
fof(f1159,plain,
( ! [X] :
( ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) )
| cC66(X) )
& ! [X] :
( ( cC2xcomp(sK110_skl(X))
& rR1(X,sK110_skl(X)) )
| ~ cC66(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK110_skl]),skolemize(Y,sK110_skl(X))],[f1158]) ).
fof(f1162,plain,
! [X0,X1] :
( ~ cC2xcomp(X1)
| ~ rR1(X0,X1)
| cC66(X0) ),
inference(cnf_transformation,[status(thm)],[f1159]) ).
fof(f1202,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px24(X,Y0)
| cC72(X) )
& ( ? [Y0] : ra_Px24(X,Y0)
| ~ cC72(X) ) ),
inference(NNF_transformation,[status(thm)],[f159]) ).
fof(f1203,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px24(X,Y0)
| cC72(X) )
& ! [X] :
( ? [Y0] : ra_Px24(X,Y0)
| ~ cC72(X) ) ),
inference(miniscoping,[status(thm)],[f1202]) ).
fof(f1204,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px24(X,Y0)
| cC72(X) )
& ! [X] :
( ra_Px24(X,sK117_skl(X))
| ~ cC72(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK117_skl]),skolemize(Y0,sK117_skl(X))],[f1203]) ).
fof(f1206,plain,
! [X0,X1] :
( ~ ra_Px24(X0,X1)
| cC72(X0) ),
inference(cnf_transformation,[status(thm)],[f1204]) ).
fof(f1207,plain,
! [X] :
( ( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC72(X) )
& ( ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) )
| ~ cC72(X) ) ),
inference(NNF_transformation,[status(thm)],[f160]) ).
fof(f1208,plain,
( ! [X] :
( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC72(X) )
& ! [X] :
( ? [Y] :
( cC12xcomp(Y)
& rR1(X,Y) )
| ~ cC72(X) ) ),
inference(miniscoping,[status(thm)],[f1207]) ).
fof(f1209,plain,
( ! [X] :
( ! [Y] :
( ~ cC12xcomp(Y)
| ~ rR1(X,Y) )
| cC72(X) )
& ! [X] :
( ( cC12xcomp(sK118_skl(X))
& rR1(X,sK118_skl(X)) )
| ~ cC72(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK118_skl]),skolemize(Y,sK118_skl(X))],[f1208]) ).
fof(f1212,plain,
! [X0,X1] :
( ~ cC12xcomp(X1)
| ~ rR1(X0,X1)
| cC72(X0) ),
inference(cnf_transformation,[status(thm)],[f1209]) ).
fof(f1213,plain,
! [X] :
( cC72xcomp(X)
<=> ! [Y] : ~ ra_Px24(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f161]) ).
fof(f1214,plain,
! [X] :
( ( ? [Y] : ra_Px24(X,Y)
| cC72xcomp(X) )
& ( ! [Y] : ~ ra_Px24(X,Y)
| ~ cC72xcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f1213]) ).
fof(f1215,plain,
( ! [X] :
( ? [Y] : ra_Px24(X,Y)
| cC72xcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px24(X,Y)
| ~ cC72xcomp(X) ) ),
inference(miniscoping,[status(thm)],[f1214]) ).
fof(f1216,plain,
( ! [X] :
( ra_Px24(X,sK119_skl(X))
| cC72xcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px24(X,Y)
| ~ cC72xcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK119_skl]),skolemize(Y,sK119_skl(X))],[f1215]) ).
fof(f1218,plain,
! [X0] :
( ra_Px24(X0,sK119_skl(X0))
| cC72xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f1216]) ).
fof(f1219,plain,
! [X] :
( ( ~ cC18xcomp(X)
| ~ cC72xcomp(X)
| cC74(X) )
& ( ( cC18xcomp(X)
& cC72xcomp(X) )
| ~ cC74(X) ) ),
inference(NNF_transformation,[status(thm)],[f162]) ).
fof(f1220,plain,
( ! [X] :
( ~ cC18xcomp(X)
| ~ cC72xcomp(X)
| cC74(X) )
& ! [X] :
( ( cC18xcomp(X)
& cC72xcomp(X) )
| ~ cC74(X) ) ),
inference(miniscoping,[status(thm)],[f1219]) ).
fof(f1223,plain,
! [X0] :
( ~ cC18xcomp(X0)
| ~ cC72xcomp(X0)
| cC74(X0) ),
inference(cnf_transformation,[status(thm)],[f1220]) ).
fof(f1224,plain,
! [X] :
( ( ! [Y0] : ~ ra_Px87(X,Y0)
| cC74(X) )
& ( ? [Y0] : ra_Px87(X,Y0)
| ~ cC74(X) ) ),
inference(NNF_transformation,[status(thm)],[f163]) ).
fof(f1225,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px87(X,Y0)
| cC74(X) )
& ! [X] :
( ? [Y0] : ra_Px87(X,Y0)
| ~ cC74(X) ) ),
inference(miniscoping,[status(thm)],[f1224]) ).
fof(f1226,plain,
( ! [X] :
( ! [Y0] : ~ ra_Px87(X,Y0)
| cC74(X) )
& ! [X] :
( ra_Px87(X,sK120_skl(X))
| ~ cC74(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK120_skl]),skolemize(Y0,sK120_skl(X))],[f1225]) ).
fof(f1227,plain,
! [X0] :
( ra_Px87(X0,sK120_skl(X0))
| ~ cC74(X0) ),
inference(cnf_transformation,[status(thm)],[f1226]) ).
fof(f1229,plain,
! [X] :
( cC74xcomp(X)
<=> ! [Y] : ~ ra_Px87(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f164]) ).
fof(f1230,plain,
! [X] :
( ( ? [Y] : ra_Px87(X,Y)
| cC74xcomp(X) )
& ( ! [Y] : ~ ra_Px87(X,Y)
| ~ cC74xcomp(X) ) ),
inference(NNF_transformation,[status(thm)],[f1229]) ).
fof(f1231,plain,
( ! [X] :
( ? [Y] : ra_Px87(X,Y)
| cC74xcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px87(X,Y)
| ~ cC74xcomp(X) ) ),
inference(miniscoping,[status(thm)],[f1230]) ).
fof(f1232,plain,
( ! [X] :
( ra_Px87(X,sK121_skl(X))
| cC74xcomp(X) )
& ! [X] :
( ! [Y] : ~ ra_Px87(X,Y)
| ~ cC74xcomp(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK121_skl]),skolemize(Y,sK121_skl(X))],[f1231]) ).
fof(f1233,plain,
! [X0,X1] :
( ~ ra_Px87(X0,X1)
| ~ cC74xcomp(X0) ),
inference(cnf_transformation,[status(thm)],[f1232]) ).
fof(f1263,plain,
! [X] :
( ( ~ cTOP(X)
| ~ cC78(X)
| cC80(X) )
& ( ( cTOP(X)
& cC78(X) )
| ~ cC80(X) ) ),
inference(NNF_transformation,[status(thm)],[f170]) ).
fof(f1264,plain,
( ! [X] :
( ~ cTOP(X)
| ~ cC78(X)
| cC80(X) )
& ! [X] :
( ( cTOP(X)
& cC78(X) )
| ~ cC80(X) ) ),
inference(miniscoping,[status(thm)],[f1263]) ).
fof(f1265,plain,
! [X0] :
( cC78(X0)
| ~ cC80(X0) ),
inference(cnf_transformation,[status(thm)],[f1264]) ).
fof(f1267,plain,
! [X0] :
( ~ cTOP(X0)
| ~ cC78(X0)
| cC80(X0) ),
inference(cnf_transformation,[status(thm)],[f1264]) ).
fof(f1268,plain,
! [X] :
( ( ~ cC80(X)
| ~ cC64(X)
| cC82(X) )
& ( ( cC80(X)
& cC64(X) )
| ~ cC82(X) ) ),
inference(NNF_transformation,[status(thm)],[f171]) ).
fof(f1269,plain,
( ! [X] :
( ~ cC80(X)
| ~ cC64(X)
| cC82(X) )
& ! [X] :
( ( cC80(X)
& cC64(X) )
| ~ cC82(X) ) ),
inference(miniscoping,[status(thm)],[f1268]) ).
fof(f1270,plain,
! [X0] :
( cC64(X0)
| ~ cC82(X0) ),
inference(cnf_transformation,[status(thm)],[f1269]) ).
fof(f1271,plain,
! [X0] :
( cC80(X0)
| ~ cC82(X0) ),
inference(cnf_transformation,[status(thm)],[f1269]) ).
fof(f1272,plain,
! [X0] :
( ~ cC80(X0)
| ~ cC64(X0)
| cC82(X0) ),
inference(cnf_transformation,[status(thm)],[f1269]) ).
fof(f1273,plain,
! [X] :
( ( ~ cTOP(X)
| cC84(X) )
& ( cTOP(X)
| ~ cC84(X) ) ),
inference(NNF_transformation,[status(thm)],[f172]) ).
fof(f1274,plain,
( ! [X] :
( ~ cTOP(X)
| cC84(X) )
& ! [X] :
( cTOP(X)
| ~ cC84(X) ) ),
inference(miniscoping,[status(thm)],[f1273]) ).
fof(f1276,plain,
! [X0] :
( ~ cTOP(X0)
| cC84(X0) ),
inference(cnf_transformation,[status(thm)],[f1274]) ).
fof(f1277,plain,
! [X] :
( ( ~ cC84(X)
| ~ cC82(X)
| cC86(X) )
& ( ( cC84(X)
& cC82(X) )
| ~ cC86(X) ) ),
inference(NNF_transformation,[status(thm)],[f173]) ).
fof(f1278,plain,
( ! [X] :
( ~ cC84(X)
| ~ cC82(X)
| cC86(X) )
& ! [X] :
( ( cC84(X)
& cC82(X) )
| ~ cC86(X) ) ),
inference(miniscoping,[status(thm)],[f1277]) ).
fof(f1279,plain,
! [X0] :
( cC82(X0)
| ~ cC86(X0) ),
inference(cnf_transformation,[status(thm)],[f1278]) ).
fof(f1281,plain,
! [X0] :
( ~ cC84(X0)
| ~ cC82(X0)
| cC86(X0) ),
inference(cnf_transformation,[status(thm)],[f1278]) ).
fof(f1282,plain,
! [X] :
( ( ~ cTOP(X)
| cC88(X) )
& ( cTOP(X)
| ~ cC88(X) ) ),
inference(NNF_transformation,[status(thm)],[f174]) ).
fof(f1283,plain,
( ! [X] :
( ~ cTOP(X)
| cC88(X) )
& ! [X] :
( cTOP(X)
| ~ cC88(X) ) ),
inference(miniscoping,[status(thm)],[f1282]) ).
fof(f1285,plain,
! [X0] :
( ~ cTOP(X0)
| cC88(X0) ),
inference(cnf_transformation,[status(thm)],[f1283]) ).
fof(f1286,plain,
! [X] :
( ( ~ cC88(X)
| ~ cC86(X)
| cC90(X) )
& ( ( cC88(X)
& cC86(X) )
| ~ cC90(X) ) ),
inference(NNF_transformation,[status(thm)],[f175]) ).
fof(f1287,plain,
( ! [X] :
( ~ cC88(X)
| ~ cC86(X)
| cC90(X) )
& ! [X] :
( ( cC88(X)
& cC86(X) )
| ~ cC90(X) ) ),
inference(miniscoping,[status(thm)],[f1286]) ).
fof(f1288,plain,
! [X0] :
( cC86(X0)
| ~ cC90(X0) ),
inference(cnf_transformation,[status(thm)],[f1287]) ).
fof(f1352,plain,
! [X] :
( ( ~ cC180(X)
| ~ cC158(X)
| cTEST(X) )
& ( ( cC180(X)
& cC158(X) )
| ~ cTEST(X) ) ),
inference(NNF_transformation,[status(thm)],[f187]) ).
fof(f1353,plain,
( ! [X] :
( ~ cC180(X)
| ~ cC158(X)
| cTEST(X) )
& ! [X] :
( ( cC180(X)
& cC158(X) )
| ~ cTEST(X) ) ),
inference(miniscoping,[status(thm)],[f1352]) ).
fof(f1354,plain,
! [X0] :
( cC158(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(thm)],[f1353]) ).
fof(f1362,plain,
cTOP(iV21026),
inference(cnf_transformation,[status(thm)],[f191]) ).
fof(f1372,plain,
cC98xcomp(iV21026),
inference(cnf_transformation,[status(thm)],[f197]) ).
fof(f1374,plain,
cC166xcomp(iV21026),
inference(cnf_transformation,[status(thm)],[f199]) ).
fof(f1375,plain,
cC106xcomp(iV21026),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f1397,plain,
cC162xcomp(iV21026),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f1401,plain,
cC172xcomp(iV21026),
inference(cnf_transformation,[status(thm)],[f217]) ).
fof(f1406,plain,
cC178xcomp(iV21026),
inference(cnf_transformation,[status(thm)],[f221]) ).
fof(f1407,plain,
cTEST(iV21026),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f1408,plain,
rR1(iV21026,iV21030),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f1409,plain,
rR1(iV21026,iV21027),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f1411,plain,
rR1(iV21026,iV21029),
inference(cnf_transformation,[status(thm)],[f226]) ).
fof(f1425,plain,
cC2xcomp(iV21027),
inference(cnf_transformation,[status(thm)],[f238]) ).
fof(f1442,plain,
rR1(iV21027,iV21036),
inference(cnf_transformation,[status(thm)],[f253]) ).
fof(f1443,plain,
rR1(iV21027,iV21035),
inference(cnf_transformation,[status(thm)],[f254]) ).
fof(f1457,plain,
cC12xcomp(iV21029),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f1475,plain,
rR1(iV21029,iV21034),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f1476,plain,
rR1(iV21029,iV21033),
inference(cnf_transformation,[status(thm)],[f283]) ).
fof(f1488,plain,
cC18xcomp(iV21030),
inference(cnf_transformation,[status(thm)],[f294]) ).
fof(f1505,plain,
cC74xcomp(iV21030),
inference(cnf_transformation,[status(thm)],[f308]) ).
fof(f1507,plain,
rR1(iV21030,iV21032),
inference(cnf_transformation,[status(thm)],[f310]) ).
fof(f1510,plain,
cC2xcomp(iV21032),
inference(cnf_transformation,[status(thm)],[f313]) ).
fof(f1517,plain,
cC12xcomp(iV21033),
inference(cnf_transformation,[status(thm)],[f320]) ).
fof(f1523,plain,
cC2xcomp(iV21034),
inference(cnf_transformation,[status(thm)],[f326]) ).
fof(f1529,plain,
cC12xcomp(iV21035),
inference(cnf_transformation,[status(thm)],[f332]) ).
fof(f1535,plain,
cC2xcomp(iV21036),
inference(cnf_transformation,[status(thm)],[f338]) ).
fof(f1540,plain,
( ~ cowlThing(iV21030)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cowlThing(iV21029)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC24(iV21027)
| ~ cowlThing(iV21027)
| ~ cC30(iV21027)
| ~ cC86(iV21026)
| ~ cC156(iV21026)
| ~ cC42(iV21026)
| ~ cC134(iV21026)
| ~ cC4(iV21026)
| ~ cC168(iV21026)
| ~ cC130(iV21026)
| ~ cC88(iV21026)
| ~ cC80(iV21026)
| ~ cC152(iV21026)
| ~ cC14(iV21026)
| ~ cC82(iV21026)
| ~ cC116(iV21026)
| ~ cC64(iV21026)
| ~ cC112(iV21026)
| ~ cC36(iV21026)
| ~ cC8(iV21026)
| ~ cC62(iV21026)
| ~ cC174(iV21026)
| ~ cC138(iV21026)
| ~ cC38(iV21026)
| ~ cC84(iV21026)
| ~ cC20(iV21026)
| ~ cC114(iV21026)
| ~ cC132(iV21026)
| ~ cC16(iV21026)
| ~ cC78(iV21026)
| ~ cC180(iV21026)
| ~ cC154(iV21026)
| ~ cC60(iV21026)
| ~ cC22(iV21026)
| ~ cC110(iV21026)
| ~ cC158(iV21026)
| ~ cC56(iV21026)
| ~ cC58(iV21026)
| ~ cowlThing(iV21026)
| ~ cC90(iV21026)
| ~ cC10(iV21026)
| ~ cC136(iV21026)
| ~ cC40(iV21026)
| ~ cC108(iV21026)
| ? [X] :
( xsd_string(X)
<~> ~ xsd_integer(X) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f344]) ).
fof(f1541,plain,
( ~ cowlThing(iV21030)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cowlThing(iV21029)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC24(iV21027)
| ~ cowlThing(iV21027)
| ~ cC30(iV21027)
| ~ cC86(iV21026)
| ~ cC156(iV21026)
| ~ cC42(iV21026)
| ~ cC134(iV21026)
| ~ cC4(iV21026)
| ~ cC168(iV21026)
| ~ cC130(iV21026)
| ~ cC88(iV21026)
| ~ cC80(iV21026)
| ~ cC152(iV21026)
| ~ cC14(iV21026)
| ~ cC82(iV21026)
| ~ cC116(iV21026)
| ~ cC64(iV21026)
| ~ cC112(iV21026)
| ~ cC36(iV21026)
| ~ cC8(iV21026)
| ~ cC62(iV21026)
| ~ cC174(iV21026)
| ~ cC138(iV21026)
| ~ cC38(iV21026)
| ~ cC84(iV21026)
| ~ cC20(iV21026)
| ~ cC114(iV21026)
| ~ cC132(iV21026)
| ~ cC16(iV21026)
| ~ cC78(iV21026)
| ~ cC180(iV21026)
| ~ cC154(iV21026)
| ~ cC60(iV21026)
| ~ cC22(iV21026)
| ~ cC110(iV21026)
| ~ cC158(iV21026)
| ~ cC56(iV21026)
| ~ cC58(iV21026)
| ~ cowlThing(iV21026)
| ~ cC90(iV21026)
| ~ cC10(iV21026)
| ~ cC136(iV21026)
| ~ cC40(iV21026)
| ~ cC108(iV21026)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(NNF_transformation,[status(thm)],[f1540]) ).
fof(f1542,plain,
( ~ cowlThing(iV21030)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cowlThing(iV21029)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC24(iV21027)
| ~ cowlThing(iV21027)
| ~ cC30(iV21027)
| ~ cC86(iV21026)
| ~ cC156(iV21026)
| ~ cC42(iV21026)
| ~ cC134(iV21026)
| ~ cC4(iV21026)
| ~ cC168(iV21026)
| ~ cC130(iV21026)
| ~ cC88(iV21026)
| ~ cC80(iV21026)
| ~ cC152(iV21026)
| ~ cC14(iV21026)
| ~ cC82(iV21026)
| ~ cC116(iV21026)
| ~ cC64(iV21026)
| ~ cC112(iV21026)
| ~ cC36(iV21026)
| ~ cC8(iV21026)
| ~ cC62(iV21026)
| ~ cC174(iV21026)
| ~ cC138(iV21026)
| ~ cC38(iV21026)
| ~ cC84(iV21026)
| ~ cC20(iV21026)
| ~ cC114(iV21026)
| ~ cC132(iV21026)
| ~ cC16(iV21026)
| ~ cC78(iV21026)
| ~ cC180(iV21026)
| ~ cC154(iV21026)
| ~ cC60(iV21026)
| ~ cC22(iV21026)
| ~ cC110(iV21026)
| ~ cC158(iV21026)
| ~ cC56(iV21026)
| ~ cC58(iV21026)
| ~ cowlThing(iV21026)
| ~ cC90(iV21026)
| ~ cC10(iV21026)
| ~ cC136(iV21026)
| ~ cC40(iV21026)
| ~ cC108(iV21026)
| ? [X] :
( ( xsd_integer(X)
| ~ xsd_string(X) )
& ( ~ xsd_integer(X)
| xsd_string(X) ) )
| ? [X] : cowlNothing(X)
| ? [X] : ~ cowlThing(X) ),
inference(miniscoping,[status(thm)],[f1541]) ).
fof(f1543,plain,
( ~ cowlThing(iV21030)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cowlThing(iV21029)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC24(iV21027)
| ~ cowlThing(iV21027)
| ~ cC30(iV21027)
| ~ cC86(iV21026)
| ~ cC156(iV21026)
| ~ cC42(iV21026)
| ~ cC134(iV21026)
| ~ cC4(iV21026)
| ~ cC168(iV21026)
| ~ cC130(iV21026)
| ~ cC88(iV21026)
| ~ cC80(iV21026)
| ~ cC152(iV21026)
| ~ cC14(iV21026)
| ~ cC82(iV21026)
| ~ cC116(iV21026)
| ~ cC64(iV21026)
| ~ cC112(iV21026)
| ~ cC36(iV21026)
| ~ cC8(iV21026)
| ~ cC62(iV21026)
| ~ cC174(iV21026)
| ~ cC138(iV21026)
| ~ cC38(iV21026)
| ~ cC84(iV21026)
| ~ cC20(iV21026)
| ~ cC114(iV21026)
| ~ cC132(iV21026)
| ~ cC16(iV21026)
| ~ cC78(iV21026)
| ~ cC180(iV21026)
| ~ cC154(iV21026)
| ~ cC60(iV21026)
| ~ cC22(iV21026)
| ~ cC110(iV21026)
| ~ cC158(iV21026)
| ~ cC56(iV21026)
| ~ cC58(iV21026)
| ~ cowlThing(iV21026)
| ~ cC90(iV21026)
| ~ cC10(iV21026)
| ~ cC136(iV21026)
| ~ cC40(iV21026)
| ~ cC108(iV21026)
| ( ( xsd_integer(sK138_skl)
| ~ xsd_string(sK138_skl) )
& ( ~ xsd_integer(sK138_skl)
| xsd_string(sK138_skl) ) )
| cowlNothing(sK137_skl)
| ~ cowlThing(sK136_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK136_skl,sK137_skl,sK138_skl]),skolemize(X,sK136_skl),skolemize(X,sK137_skl),skolemize(X,sK138_skl)],[f1542]) ).
fof(f1544,plain,
( ~ cowlThing(iV21030)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cowlThing(iV21029)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC24(iV21027)
| ~ cowlThing(iV21027)
| ~ cC30(iV21027)
| ~ cC86(iV21026)
| ~ cC156(iV21026)
| ~ cC42(iV21026)
| ~ cC134(iV21026)
| ~ cC4(iV21026)
| ~ cC168(iV21026)
| ~ cC130(iV21026)
| ~ cC88(iV21026)
| ~ cC80(iV21026)
| ~ cC152(iV21026)
| ~ cC14(iV21026)
| ~ cC82(iV21026)
| ~ cC116(iV21026)
| ~ cC64(iV21026)
| ~ cC112(iV21026)
| ~ cC36(iV21026)
| ~ cC8(iV21026)
| ~ cC62(iV21026)
| ~ cC174(iV21026)
| ~ cC138(iV21026)
| ~ cC38(iV21026)
| ~ cC84(iV21026)
| ~ cC20(iV21026)
| ~ cC114(iV21026)
| ~ cC132(iV21026)
| ~ cC16(iV21026)
| ~ cC78(iV21026)
| ~ cC180(iV21026)
| ~ cC154(iV21026)
| ~ cC60(iV21026)
| ~ cC22(iV21026)
| ~ cC110(iV21026)
| ~ cC158(iV21026)
| ~ cC56(iV21026)
| ~ cC58(iV21026)
| ~ cowlThing(iV21026)
| ~ cC90(iV21026)
| ~ cC10(iV21026)
| ~ cC136(iV21026)
| ~ cC40(iV21026)
| ~ cC108(iV21026)
| ~ xsd_integer(sK138_skl)
| xsd_string(sK138_skl)
| cowlNothing(sK137_skl)
| ~ cowlThing(sK136_skl) ),
inference(cnf_transformation,[status(thm)],[f1543]) ).
fof(f1545,plain,
( ~ cowlThing(iV21030)
| ~ cC66(iV21030)
| ~ cC72(iV21030)
| ~ cowlThing(iV21029)
| ~ cC44(iV21029)
| ~ cC50(iV21029)
| ~ cC24(iV21027)
| ~ cowlThing(iV21027)
| ~ cC30(iV21027)
| ~ cC86(iV21026)
| ~ cC156(iV21026)
| ~ cC42(iV21026)
| ~ cC134(iV21026)
| ~ cC4(iV21026)
| ~ cC168(iV21026)
| ~ cC130(iV21026)
| ~ cC88(iV21026)
| ~ cC80(iV21026)
| ~ cC152(iV21026)
| ~ cC14(iV21026)
| ~ cC82(iV21026)
| ~ cC116(iV21026)
| ~ cC64(iV21026)
| ~ cC112(iV21026)
| ~ cC36(iV21026)
| ~ cC8(iV21026)
| ~ cC62(iV21026)
| ~ cC174(iV21026)
| ~ cC138(iV21026)
| ~ cC38(iV21026)
| ~ cC84(iV21026)
| ~ cC20(iV21026)
| ~ cC114(iV21026)
| ~ cC132(iV21026)
| ~ cC16(iV21026)
| ~ cC78(iV21026)
| ~ cC180(iV21026)
| ~ cC154(iV21026)
| ~ cC60(iV21026)
| ~ cC22(iV21026)
| ~ cC110(iV21026)
| ~ cC158(iV21026)
| ~ cC56(iV21026)
| ~ cC58(iV21026)
| ~ cowlThing(iV21026)
| ~ cC90(iV21026)
| ~ cC10(iV21026)
| ~ cC136(iV21026)
| ~ cC40(iV21026)
| ~ cC108(iV21026)
| xsd_integer(sK138_skl)
| ~ xsd_string(sK138_skl)
| cowlNothing(sK137_skl)
| ~ cowlThing(sK136_skl) ),
inference(cnf_transformation,[status(thm)],[f1543]) ).
fof(f1546,definition,
( sQ0_spl
<=> cowlThing(sK136_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1548,plain,
( sQ0_spl
| ~ cowlThing(sK136_skl) ),
inference(component_clause,[status(thm)],[f1546]) ).
fof(f1549,definition,
( sQ1_spl
<=> cowlNothing(sK137_skl) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1550,plain,
( ~ sQ1_spl
| cowlNothing(sK137_skl) ),
inference(component_clause,[status(thm)],[f1549]) ).
fof(f1552,definition,
( sQ2_spl
<=> xsd_string(sK138_skl) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f1553,plain,
( ~ sQ2_spl
| xsd_string(sK138_skl) ),
inference(component_clause,[status(thm)],[f1552]) ).
fof(f1554,plain,
( sQ2_spl
| ~ xsd_string(sK138_skl) ),
inference(component_clause,[status(thm)],[f1552]) ).
fof(f1555,definition,
( sQ3_spl
<=> xsd_integer(sK138_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f1556,plain,
( ~ sQ3_spl
| xsd_integer(sK138_skl) ),
inference(component_clause,[status(thm)],[f1555]) ).
fof(f1558,definition,
( sQ4_spl
<=> cC108(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f1561,definition,
( sQ5_spl
<=> cC40(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1563,plain,
( sQ5_spl
| ~ cC40(iV21026) ),
inference(component_clause,[status(thm)],[f1561]) ).
fof(f1564,definition,
( sQ6_spl
<=> cC136(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1566,plain,
( sQ6_spl
| ~ cC136(iV21026) ),
inference(component_clause,[status(thm)],[f1564]) ).
fof(f1567,definition,
( sQ7_spl
<=> cC10(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f1570,definition,
( sQ8_spl
<=> cC90(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f1572,plain,
( sQ8_spl
| ~ cC90(iV21026) ),
inference(component_clause,[status(thm)],[f1570]) ).
fof(f1573,definition,
( sQ9_spl
<=> cowlThing(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f1575,plain,
( sQ9_spl
| ~ cowlThing(iV21026) ),
inference(component_clause,[status(thm)],[f1573]) ).
fof(f1576,definition,
( sQ10_spl
<=> cC58(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f1579,definition,
( sQ11_spl
<=> cC56(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f1581,plain,
( sQ11_spl
| ~ cC56(iV21026) ),
inference(component_clause,[status(thm)],[f1579]) ).
fof(f1582,definition,
( sQ12_spl
<=> cC158(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f1585,definition,
( sQ13_spl
<=> cC110(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f1588,definition,
( sQ14_spl
<=> cC22(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f1590,plain,
( sQ14_spl
| ~ cC22(iV21026) ),
inference(component_clause,[status(thm)],[f1588]) ).
fof(f1591,definition,
( sQ15_spl
<=> cC60(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f1594,definition,
( sQ16_spl
<=> cC154(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f1597,definition,
( sQ17_spl
<=> cC180(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f1600,definition,
( sQ18_spl
<=> cC78(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f1602,plain,
( sQ18_spl
| ~ cC78(iV21026) ),
inference(component_clause,[status(thm)],[f1600]) ).
fof(f1603,definition,
( sQ19_spl
<=> cC16(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f1606,definition,
( sQ20_spl
<=> cC132(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f1609,definition,
( sQ21_spl
<=> cC114(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f1611,plain,
( sQ21_spl
| ~ cC114(iV21026) ),
inference(component_clause,[status(thm)],[f1609]) ).
fof(f1612,definition,
( sQ22_spl
<=> cC20(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f1615,definition,
( sQ23_spl
<=> cC84(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f1617,plain,
( sQ23_spl
| ~ cC84(iV21026) ),
inference(component_clause,[status(thm)],[f1615]) ).
fof(f1618,definition,
( sQ24_spl
<=> cC38(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f1621,definition,
( sQ25_spl
<=> cC138(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f1624,definition,
( sQ26_spl
<=> cC174(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f1625,plain,
( ~ sQ26_spl
| cC174(iV21026) ),
inference(component_clause,[status(thm)],[f1624]) ).
fof(f1627,definition,
( sQ27_spl
<=> cC62(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f1629,plain,
( sQ27_spl
| ~ cC62(iV21026) ),
inference(component_clause,[status(thm)],[f1627]) ).
fof(f1630,definition,
( sQ28_spl
<=> cC8(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f1632,plain,
( sQ28_spl
| ~ cC8(iV21026) ),
inference(component_clause,[status(thm)],[f1630]) ).
fof(f1633,definition,
( sQ29_spl
<=> cC36(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f1635,plain,
( sQ29_spl
| ~ cC36(iV21026) ),
inference(component_clause,[status(thm)],[f1633]) ).
fof(f1636,definition,
( sQ30_spl
<=> cC112(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f1639,definition,
( sQ31_spl
<=> cC64(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f1642,definition,
( sQ32_spl
<=> cC116(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f1645,definition,
( sQ33_spl
<=> cC82(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f1648,definition,
( sQ34_spl
<=> cC14(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f1650,plain,
( sQ34_spl
| ~ cC14(iV21026) ),
inference(component_clause,[status(thm)],[f1648]) ).
fof(f1651,definition,
( sQ35_spl
<=> cC152(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f1653,plain,
( sQ35_spl
| ~ cC152(iV21026) ),
inference(component_clause,[status(thm)],[f1651]) ).
fof(f1654,definition,
( sQ36_spl
<=> cC80(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f1657,definition,
( sQ37_spl
<=> cC88(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f1659,plain,
( sQ37_spl
| ~ cC88(iV21026) ),
inference(component_clause,[status(thm)],[f1657]) ).
fof(f1660,definition,
( sQ38_spl
<=> cC130(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f1662,plain,
( sQ38_spl
| ~ cC130(iV21026) ),
inference(component_clause,[status(thm)],[f1660]) ).
fof(f1663,definition,
( sQ39_spl
<=> cC168(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f1664,plain,
( ~ sQ39_spl
| cC168(iV21026) ),
inference(component_clause,[status(thm)],[f1663]) ).
fof(f1666,definition,
( sQ40_spl
<=> cC4(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f1667,plain,
( ~ sQ40_spl
| cC4(iV21026) ),
inference(component_clause,[status(thm)],[f1666]) ).
fof(f1669,definition,
( sQ41_spl
<=> cC134(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f1672,definition,
( sQ42_spl
<=> cC42(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f1675,definition,
( sQ43_spl
<=> cC156(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f1678,definition,
( sQ44_spl
<=> cC86(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f1681,definition,
( sQ45_spl
<=> cC30(iV21027) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1684,definition,
( sQ46_spl
<=> cowlThing(iV21027) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1686,plain,
( sQ46_spl
| ~ cowlThing(iV21027) ),
inference(component_clause,[status(thm)],[f1684]) ).
fof(f1687,definition,
( sQ47_spl
<=> cC24(iV21027) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f1688,plain,
( ~ sQ47_spl
| cC24(iV21027) ),
inference(component_clause,[status(thm)],[f1687]) ).
fof(f1690,definition,
( sQ48_spl
<=> cC50(iV21029) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f1691,plain,
( ~ sQ48_spl
| cC50(iV21029) ),
inference(component_clause,[status(thm)],[f1690]) ).
fof(f1693,definition,
( sQ49_spl
<=> cC44(iV21029) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f1694,plain,
( ~ sQ49_spl
| cC44(iV21029) ),
inference(component_clause,[status(thm)],[f1693]) ).
fof(f1696,definition,
( sQ50_spl
<=> cowlThing(iV21029) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f1698,plain,
( sQ50_spl
| ~ cowlThing(iV21029) ),
inference(component_clause,[status(thm)],[f1696]) ).
fof(f1699,definition,
( sQ51_spl
<=> cC72(iV21030) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f1701,plain,
( sQ51_spl
| ~ cC72(iV21030) ),
inference(component_clause,[status(thm)],[f1699]) ).
fof(f1702,definition,
( sQ52_spl
<=> cC66(iV21030) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f1704,plain,
( sQ52_spl
| ~ cC66(iV21030) ),
inference(component_clause,[status(thm)],[f1702]) ).
fof(f1705,definition,
( sQ53_spl
<=> cowlThing(iV21030) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f1707,plain,
( sQ53_spl
| ~ cowlThing(iV21030) ),
inference(component_clause,[status(thm)],[f1705]) ).
fof(f1708,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| ~ sQ51_spl
| ~ sQ50_spl
| ~ sQ49_spl
| ~ sQ48_spl
| ~ sQ47_spl
| ~ sQ46_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ42_spl
| ~ sQ41_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1544,f1546,f1549,f1552,f1555,f1558,f1561,f1564,f1567,f1570,f1573,f1576,f1579,f1582,f1585,f1588,f1591,f1594,f1597,f1600,f1603,f1606,f1609,f1612,f1615,f1618,f1621,f1624,f1627,f1630,f1633,f1636,f1639,f1642,f1645,f1648,f1651,f1654,f1657,f1660,f1663,f1666,f1669,f1672,f1675,f1678,f1681,f1684,f1687,f1690,f1693,f1696,f1699,f1702,f1705]) ).
fof(f1709,plain,
( ~ sQ53_spl
| ~ sQ52_spl
| ~ sQ51_spl
| ~ sQ50_spl
| ~ sQ49_spl
| ~ sQ48_spl
| ~ sQ47_spl
| ~ sQ46_spl
| ~ sQ45_spl
| ~ sQ44_spl
| ~ sQ43_spl
| ~ sQ42_spl
| ~ sQ41_spl
| ~ sQ40_spl
| ~ sQ39_spl
| ~ sQ38_spl
| ~ sQ37_spl
| ~ sQ36_spl
| ~ sQ35_spl
| ~ sQ34_spl
| ~ sQ33_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl
| ~ sQ26_spl
| ~ sQ25_spl
| ~ sQ24_spl
| ~ sQ23_spl
| ~ sQ22_spl
| ~ sQ21_spl
| ~ sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl
| sQ3_spl
| ~ sQ2_spl
| sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1545,f1546,f1549,f1552,f1555,f1558,f1561,f1564,f1567,f1570,f1573,f1576,f1579,f1582,f1585,f1588,f1591,f1594,f1597,f1600,f1603,f1606,f1609,f1612,f1615,f1618,f1621,f1624,f1627,f1630,f1633,f1636,f1639,f1642,f1645,f1648,f1651,f1654,f1657,f1660,f1663,f1666,f1669,f1672,f1675,f1678,f1681,f1684,f1687,f1690,f1693,f1696,f1699,f1702,f1705]) ).
fof(f1710,plain,
( sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1707,f346]) ).
fof(f1711,plain,
sQ53_spl,
inference(contradiction_clause,[status(thm)],[f1710]) ).
fof(f1713,plain,
( ~ cC108(iV21026)
| cC110(iV21026) ),
inference(resolution,[status(thm)],[f1362,f427]) ).
fof(f1714,plain,
( ~ sQ4_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f1713,f1585,f1558]) ).
fof(f1716,plain,
cC114(iV21026),
inference(resolution,[status(thm)],[f436,f1362]) ).
fof(f1719,plain,
( ~ cC130(iV21026)
| cC132(iV21026) ),
inference(resolution,[status(thm)],[f562,f1362]) ).
fof(f1720,plain,
( ~ sQ38_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f1719,f1606,f1660]) ).
fof(f1721,plain,
( sQ38_spl
| ~ cC132(iV21026) ),
inference(resolution,[status(thm)],[f1662,f560]) ).
fof(f1722,plain,
cC136(iV21026),
inference(resolution,[status(thm)],[f571,f1362]) ).
fof(f1724,plain,
( ~ cC152(iV21026)
| cC154(iV21026) ),
inference(resolution,[status(thm)],[f692,f1362]) ).
fof(f1725,plain,
( ~ sQ35_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f1724,f1594,f1651]) ).
fof(f1729,plain,
( sQ35_spl
| ~ cC154(iV21026) ),
inference(resolution,[status(thm)],[f1653,f690]) ).
fof(f1730,plain,
cC40(iV21026),
inference(resolution,[status(thm)],[f1011,f1362]) ).
fof(f1732,plain,
cC62(iV21026),
inference(resolution,[status(thm)],[f1146,f1362]) ).
fof(f1734,plain,
! [X0] :
( ~ rR1(X0,iV21029)
| cC14(X0) ),
inference(resolution,[status(thm)],[f1457,f582]) ).
fof(f1738,plain,
( ~ cC36(iV21026)
| cC38(iV21026) ),
inference(resolution,[status(thm)],[f1001,f1362]) ).
fof(f1739,plain,
( ~ sQ29_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f1738,f1618,f1633]) ).
fof(f1740,plain,
( sQ29_spl
| ~ cC38(iV21026) ),
inference(resolution,[status(thm)],[f1635,f999]) ).
fof(f1742,plain,
cC84(iV21026),
inference(resolution,[status(thm)],[f1276,f1362]) ).
fof(f1744,plain,
cC88(iV21026),
inference(resolution,[status(thm)],[f1285,f1362]) ).
fof(f1746,plain,
( ~ cC56(iV21026)
| cC58(iV21026) ),
inference(resolution,[status(thm)],[f1126,f1362]) ).
fof(f1747,plain,
( ~ sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f1746,f1576,f1579]) ).
fof(f1749,plain,
( sQ11_spl
| ~ cC58(iV21026) ),
inference(resolution,[status(thm)],[f1581,f1124]) ).
fof(f1755,definition,
( sQ54_spl
<=> cC50(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f1762,definition,
( sQ56_spl
<=> cC44(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f1763,plain,
( ~ sQ56_spl
| cC44(iV21026) ),
inference(component_clause,[status(thm)],[f1762]) ).
fof(f1770,definition,
( sQ58_spl
<=> cC24(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f1771,plain,
( ~ sQ58_spl
| cC24(iV21026) ),
inference(component_clause,[status(thm)],[f1770]) ).
fof(f1792,plain,
( ~ cC2xcomp(iV21027)
| cC44(iV21026) ),
inference(resolution,[status(thm)],[f1409,f1028]) ).
fof(f1793,plain,
( ~ cC2xcomp(iV21027)
| cC4(iV21026) ),
inference(resolution,[status(thm)],[f1409,f1007]) ).
fof(f1800,definition,
( sQ62_spl
<=> cC2xcomp(iV21027) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1802,plain,
( sQ62_spl
| ~ cC2xcomp(iV21027) ),
inference(component_clause,[status(thm)],[f1800]) ).
fof(f1803,plain,
( ~ sQ62_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f1792,f1762,f1800]) ).
fof(f1804,plain,
( ~ sQ62_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f1793,f1666,f1800]) ).
fof(f1810,plain,
( sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1802,f1425]) ).
fof(f1811,plain,
sQ62_spl,
inference(contradiction_clause,[status(thm)],[f1810]) ).
fof(f1813,plain,
( ~ cC12xcomp(iV21029)
| cC50(iV21026) ),
inference(resolution,[status(thm)],[f1411,f1072]) ).
fof(f1818,definition,
( sQ64_spl
<=> cC12xcomp(iV21029) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1820,plain,
( sQ64_spl
| ~ cC12xcomp(iV21029) ),
inference(component_clause,[status(thm)],[f1818]) ).
fof(f1821,plain,
( ~ sQ64_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f1813,f1755,f1818]) ).
fof(f1834,plain,
( ~ cC78(iV21026)
| cC80(iV21026) ),
inference(resolution,[status(thm)],[f1267,f1362]) ).
fof(f1835,plain,
( ~ sQ18_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f1834,f1654,f1600]) ).
fof(f1836,plain,
! [X0] :
( ~ rR1(X0,iV21032)
| cC66(X0) ),
inference(resolution,[status(thm)],[f1510,f1162]) ).
fof(f1839,plain,
! [X0] :
( ~ rR1(X0,iV21033)
| cC30(X0) ),
inference(resolution,[status(thm)],[f1517,f952]) ).
fof(f1840,plain,
! [X0] :
( ~ rR1(X0,iV21033)
| cC14(X0) ),
inference(resolution,[status(thm)],[f1517,f582]) ).
fof(f1842,plain,
( ~ cC98xcomp(iV21026)
| cC108(iV21026) ),
inference(resolution,[status(thm)],[f422,f1375]) ).
fof(f1844,definition,
( sQ67_spl
<=> cC98xcomp(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1846,plain,
( sQ67_spl
| ~ cC98xcomp(iV21026) ),
inference(component_clause,[status(thm)],[f1844]) ).
fof(f1847,plain,
( ~ sQ67_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1842,f1558,f1844]) ).
fof(f1848,plain,
( sQ18_spl
| ~ cC80(iV21026) ),
inference(resolution,[status(thm)],[f1602,f1265]) ).
fof(f1853,plain,
cC14(iV21026),
inference(resolution,[status(thm)],[f1734,f1411]) ).
fof(f1878,plain,
! [X0] :
( ~ rR1(X0,iV21035)
| cC14(X0) ),
inference(resolution,[status(thm)],[f1529,f582]) ).
fof(f1898,plain,
cC158(iV21026),
inference(resolution,[status(thm)],[f1354,f1407]) ).
fof(f1899,plain,
cC156(iV21026),
inference(resolution,[status(thm)],[f1898,f701]) ).
fof(f1900,plain,
cC22(iV21026),
inference(resolution,[status(thm)],[f1898,f700]) ).
fof(f1901,plain,
( ~ cC22(iV21026)
| cC158(iV21026) ),
inference(resolution,[status(thm)],[f1899,f702]) ).
fof(f1902,plain,
cC138(iV21026),
inference(resolution,[status(thm)],[f1899,f696]) ).
fof(f1903,plain,
cC154(iV21026),
inference(resolution,[status(thm)],[f1899,f695]) ).
fof(f1904,plain,
( ~ sQ14_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f1901,f1582,f1588]) ).
fof(f1905,plain,
( sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1903,f1729]) ).
fof(f1906,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f1905]) ).
fof(f1907,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1590,f1900]) ).
fof(f1908,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1907]) ).
fof(f1909,plain,
cC16(iV21026),
inference(resolution,[status(thm)],[f1900,f890]) ).
fof(f1911,plain,
( ~ cC154(iV21026)
| cC156(iV21026) ),
inference(resolution,[status(thm)],[f1902,f697]) ).
fof(f1912,plain,
cC134(iV21026),
inference(resolution,[status(thm)],[f1902,f575]) ).
fof(f1914,plain,
( ~ sQ16_spl
| sQ43_spl ),
inference(split_clause,[status(thm)],[f1911,f1675,f1594]) ).
fof(f1917,plain,
cC10(iV21026),
inference(resolution,[status(thm)],[f1909,f705]) ).
fof(f1919,plain,
( ~ cC136(iV21026)
| cC138(iV21026) ),
inference(resolution,[status(thm)],[f1912,f576]) ).
fof(f1920,plain,
cC132(iV21026),
inference(resolution,[status(thm)],[f1912,f566]) ).
fof(f1921,plain,
cC116(iV21026),
inference(resolution,[status(thm)],[f1912,f565]) ).
fof(f1922,plain,
( ~ sQ6_spl
| sQ25_spl ),
inference(split_clause,[status(thm)],[f1919,f1621,f1564]) ).
fof(f1923,plain,
( sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1920,f1721]) ).
fof(f1924,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f1923]) ).
fof(f1925,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1566,f1722]) ).
fof(f1926,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f1925]) ).
fof(f1927,plain,
( ~ cC14(iV21026)
| cC16(iV21026) ),
inference(resolution,[status(thm)],[f1917,f707]) ).
fof(f1929,plain,
cC8(iV21026),
inference(resolution,[status(thm)],[f1917,f354]) ).
fof(f1930,plain,
( ~ sQ34_spl
| sQ19_spl ),
inference(split_clause,[status(thm)],[f1927,f1603,f1648]) ).
fof(f1931,plain,
( sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1650,f1853]) ).
fof(f1932,plain,
sQ34_spl,
inference(contradiction_clause,[status(thm)],[f1931]) ).
fof(f1933,plain,
( ~ cC132(iV21026)
| cC134(iV21026) ),
inference(resolution,[status(thm)],[f1921,f567]) ).
fof(f1934,plain,
cC112(iV21026),
inference(resolution,[status(thm)],[f1921,f440]) ).
fof(f1936,plain,
( ~ sQ20_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f1933,f1669,f1606]) ).
fof(f1938,plain,
( ~ cC4(iV21026)
| cC10(iV21026) ),
inference(resolution,[status(thm)],[f1929,f356]) ).
fof(f1939,plain,
( ~ sQ40_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1938,f1567,f1666]) ).
fof(f1942,plain,
( ~ cC114(iV21026)
| cC116(iV21026) ),
inference(resolution,[status(thm)],[f1934,f441]) ).
fof(f1943,plain,
cC90(iV21026),
inference(resolution,[status(thm)],[f1934,f431]) ).
fof(f1944,plain,
cC110(iV21026),
inference(resolution,[status(thm)],[f1934,f430]) ).
fof(f1945,plain,
( ~ sQ21_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f1942,f1642,f1609]) ).
fof(f1946,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1943,f1572]) ).
fof(f1947,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f1946]) ).
fof(f1948,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1611,f1716]) ).
fof(f1949,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f1948]) ).
fof(f1950,plain,
( sQ67_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1846,f1372]) ).
fof(f1951,plain,
sQ67_spl,
inference(contradiction_clause,[status(thm)],[f1950]) ).
fof(f1959,plain,
( ~ cC90(iV21026)
| cC112(iV21026) ),
inference(resolution,[status(thm)],[f1944,f432]) ).
fof(f1961,plain,
( ~ sQ8_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f1959,f1636,f1570]) ).
fof(f1963,plain,
cC86(iV21026),
inference(resolution,[status(thm)],[f1943,f1288]) ).
fof(f1966,plain,
cC82(iV21026),
inference(resolution,[status(thm)],[f1963,f1279]) ).
fof(f1968,plain,
( ~ cC84(iV21026)
| cC86(iV21026) ),
inference(resolution,[status(thm)],[f1966,f1281]) ).
fof(f1969,plain,
cC80(iV21026),
inference(resolution,[status(thm)],[f1966,f1271]) ).
fof(f1970,plain,
cC64(iV21026),
inference(resolution,[status(thm)],[f1966,f1270]) ).
fof(f1971,plain,
( ~ sQ23_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f1968,f1678,f1615]) ).
fof(f1972,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1969,f1848]) ).
fof(f1973,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f1972]) ).
fof(f1974,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1617,f1742]) ).
fof(f1975,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f1974]) ).
fof(f1986,plain,
( ~ cC80(iV21026)
| cC82(iV21026) ),
inference(resolution,[status(thm)],[f1970,f1272]) ).
fof(f1988,plain,
cC60(iV21026),
inference(resolution,[status(thm)],[f1970,f1149]) ).
fof(f1989,plain,
( ~ sQ36_spl
| sQ33_spl ),
inference(split_clause,[status(thm)],[f1986,f1645,f1654]) ).
fof(f1991,plain,
( ~ cC62(iV21026)
| cC64(iV21026) ),
inference(resolution,[status(thm)],[f1988,f1151]) ).
fof(f1992,plain,
cC42(iV21026),
inference(resolution,[status(thm)],[f1988,f1141]) ).
fof(f1993,plain,
cC58(iV21026),
inference(resolution,[status(thm)],[f1988,f1140]) ).
fof(f1994,plain,
( ~ sQ27_spl
| sQ31_spl ),
inference(split_clause,[status(thm)],[f1991,f1639,f1627]) ).
fof(f1995,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1993,f1749]) ).
fof(f1996,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1995]) ).
fof(f1997,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1629,f1732]) ).
fof(f1998,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f1997]) ).
fof(f1999,plain,
( ~ cC58(iV21026)
| cC60(iV21026) ),
inference(resolution,[status(thm)],[f1992,f1142]) ).
fof(f2000,plain,
cC38(iV21026),
inference(resolution,[status(thm)],[f1992,f1015]) ).
fof(f2002,plain,
( ~ sQ10_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f1999,f1591,f1576]) ).
fof(f2003,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2000,f1740]) ).
fof(f2004,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f2003]) ).
fof(f2006,plain,
( ~ cC40(iV21026)
| cC42(iV21026) ),
inference(resolution,[status(thm)],[f2000,f1016]) ).
fof(f2008,plain,
( ~ sQ5_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f2006,f1672,f1561]) ).
fof(f2009,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1563,f1730]) ).
fof(f2010,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f2009]) ).
fof(f2034,plain,
( ~ cC2xcomp(iV21036)
| cC44(iV21027) ),
inference(resolution,[status(thm)],[f1442,f1028]) ).
fof(f2035,plain,
( ~ cC2xcomp(iV21036)
| cC4(iV21027) ),
inference(resolution,[status(thm)],[f1442,f1007]) ).
fof(f2036,plain,
( ~ cC2xcomp(iV21036)
| cC24(iV21027) ),
inference(resolution,[status(thm)],[f1442,f902]) ).
fof(f2045,definition,
( sQ76_spl
<=> cC44(iV21027) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f2046,plain,
( ~ sQ76_spl
| cC44(iV21027) ),
inference(component_clause,[status(thm)],[f2045]) ).
fof(f2048,definition,
( sQ77_spl
<=> cC2xcomp(iV21036) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f2050,plain,
( sQ77_spl
| ~ cC2xcomp(iV21036) ),
inference(component_clause,[status(thm)],[f2048]) ).
fof(f2051,plain,
( ~ sQ77_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f2034,f2045,f2048]) ).
fof(f2052,definition,
( sQ78_spl
<=> cC4(iV21027) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f2055,plain,
( ~ sQ77_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f2035,f2052,f2048]) ).
fof(f2056,plain,
( ~ sQ77_spl
| sQ47_spl ),
inference(split_clause,[status(thm)],[f2036,f1687,f2048]) ).
fof(f2064,plain,
( sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2050,f1535]) ).
fof(f2065,plain,
sQ77_spl,
inference(contradiction_clause,[status(thm)],[f2064]) ).
fof(f2074,plain,
cC14(iV21027),
inference(resolution,[status(thm)],[f1443,f1878]) ).
fof(f2098,plain,
( ~ cC2xcomp(iV21034)
| cC44(iV21029) ),
inference(resolution,[status(thm)],[f1475,f1028]) ).
fof(f2106,definition,
( sQ85_spl
<=> cC2xcomp(iV21034) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f2108,plain,
( sQ85_spl
| ~ cC2xcomp(iV21034) ),
inference(component_clause,[status(thm)],[f2106]) ).
fof(f2109,plain,
( ~ sQ85_spl
| sQ49_spl ),
inference(split_clause,[status(thm)],[f2098,f1693,f2106]) ).
fof(f2110,definition,
( sQ86_spl
<=> cC4(iV21029) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f2111,plain,
( ~ sQ86_spl
| cC4(iV21029) ),
inference(component_clause,[status(thm)],[f2110]) ).
fof(f2114,definition,
( sQ87_spl
<=> cC24(iV21029) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f2115,plain,
( ~ sQ87_spl
| cC24(iV21029) ),
inference(component_clause,[status(thm)],[f2114]) ).
fof(f2125,plain,
( sQ85_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2108,f1523]) ).
fof(f2126,plain,
sQ85_spl,
inference(contradiction_clause,[status(thm)],[f2125]) ).
fof(f2133,plain,
cC14(iV21029),
inference(resolution,[status(thm)],[f1476,f1840]) ).
fof(f2134,plain,
cC30(iV21029),
inference(resolution,[status(thm)],[f1476,f1839]) ).
fof(f2136,plain,
( ~ cC12xcomp(iV21033)
| cC50(iV21029) ),
inference(resolution,[status(thm)],[f1476,f1072]) ).
fof(f2141,definition,
( sQ90_spl
<=> cC12xcomp(iV21033) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f2143,plain,
( sQ90_spl
| ~ cC12xcomp(iV21033) ),
inference(component_clause,[status(thm)],[f2141]) ).
fof(f2144,plain,
( ~ sQ90_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f2136,f1690,f2141]) ).
fof(f2155,plain,
( sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2143,f1517]) ).
fof(f2156,plain,
sQ90_spl,
inference(contradiction_clause,[status(thm)],[f2155]) ).
fof(f2159,plain,
cC66(iV21030),
inference(resolution,[status(thm)],[f1507,f1836]) ).
fof(f2161,plain,
( ~ cC2xcomp(iV21032)
| cC44(iV21030) ),
inference(resolution,[status(thm)],[f1507,f1028]) ).
fof(f2162,plain,
( ~ cC2xcomp(iV21032)
| cC4(iV21030) ),
inference(resolution,[status(thm)],[f1507,f1007]) ).
fof(f2165,plain,
( sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2159,f1704]) ).
fof(f2166,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f2165]) ).
fof(f2174,definition,
( sQ95_spl
<=> cC44(iV21030) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f2177,definition,
( sQ96_spl
<=> cC2xcomp(iV21032) ),
introduced(definition,[new_symbols(definition,[sQ96_spl])],[split_symbol_definition]) ).
fof(f2179,plain,
( sQ96_spl
| ~ cC2xcomp(iV21032) ),
inference(component_clause,[status(thm)],[f2177]) ).
fof(f2180,plain,
( ~ sQ96_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f2161,f2174,f2177]) ).
fof(f2181,definition,
( sQ97_spl
<=> cC4(iV21030) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f2182,plain,
( ~ sQ97_spl
| cC4(iV21030) ),
inference(component_clause,[status(thm)],[f2181]) ).
fof(f2184,plain,
( ~ sQ96_spl
| sQ97_spl ),
inference(split_clause,[status(thm)],[f2162,f2181,f2177]) ).
fof(f2185,definition,
( sQ98_spl
<=> cC24(iV21030) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f2186,plain,
( ~ sQ98_spl
| cC24(iV21030) ),
inference(component_clause,[status(thm)],[f2185]) ).
fof(f2196,plain,
( sQ96_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2179,f1510]) ).
fof(f2197,plain,
sQ96_spl,
inference(contradiction_clause,[status(thm)],[f2196]) ).
fof(f2271,plain,
rR1(iV21027,sK28_skl(iV21027)),
inference(resolution,[status(thm)],[f580,f2074]) ).
fof(f2272,plain,
rR1(iV21026,sK28_skl(iV21026)),
inference(resolution,[status(thm)],[f580,f1853]) ).
fof(f2364,plain,
! [X0,X1] :
( ~ rR1(X1,sK28_skl(X0))
| cC72(X1)
| ~ cC14(X0) ),
inference(resolution,[status(thm)],[f581,f1212]) ).
fof(f2365,plain,
! [X0,X1] :
( ~ rR1(X1,sK28_skl(X0))
| cC30(X1)
| ~ cC14(X0) ),
inference(resolution,[status(thm)],[f581,f952]) ).
fof(f2368,plain,
( cC72(iV21027)
| ~ cC14(iV21027) ),
inference(resolution,[status(thm)],[f2364,f2271]) ).
fof(f2369,plain,
( cC72(iV21026)
| ~ cC14(iV21026) ),
inference(resolution,[status(thm)],[f2364,f2272]) ).
fof(f2370,definition,
( sQ115_spl
<=> cC14(iV21029) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f2372,plain,
( sQ115_spl
| ~ cC14(iV21029) ),
inference(component_clause,[status(thm)],[f2370]) ).
fof(f2373,definition,
( sQ116_spl
<=> cC72(iV21029) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f2377,definition,
( sQ117_spl
<=> cC14(iV21027) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f2379,plain,
( sQ117_spl
| ~ cC14(iV21027) ),
inference(component_clause,[status(thm)],[f2377]) ).
fof(f2380,definition,
( sQ118_spl
<=> cC72(iV21027) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f2383,plain,
( sQ118_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f2368,f2377,f2380]) ).
fof(f2384,definition,
( sQ119_spl
<=> cC72(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f2387,plain,
( sQ119_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2369,f1648,f2384]) ).
fof(f2388,plain,
( sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2379,f2074]) ).
fof(f2389,plain,
sQ117_spl,
inference(contradiction_clause,[status(thm)],[f2388]) ).
fof(f2390,plain,
( sQ115_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2372,f2133]) ).
fof(f2391,plain,
sQ115_spl,
inference(contradiction_clause,[status(thm)],[f2390]) ).
fof(f2393,plain,
( cC30(iV21027)
| ~ cC14(iV21027) ),
inference(resolution,[status(thm)],[f2365,f2271]) ).
fof(f2394,plain,
( cC30(iV21026)
| ~ cC14(iV21026) ),
inference(resolution,[status(thm)],[f2365,f2272]) ).
fof(f2395,definition,
( sQ120_spl
<=> cC30(iV21029) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f2399,plain,
( sQ45_spl
| ~ sQ117_spl ),
inference(split_clause,[status(thm)],[f2393,f2377,f1681]) ).
fof(f2400,definition,
( sQ121_spl
<=> cC30(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f2403,plain,
( sQ121_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f2394,f1648,f2400]) ).
fof(f2477,plain,
! [X0,X1] :
( ~ rR1(X1,sK83_skl(X0))
| cC72(X1)
| ~ cC30(X0) ),
inference(resolution,[status(thm)],[f951,f1212]) ).
fof(f2481,plain,
! [X0,X1] :
( ~ rR1(X1,sK92_skl(X0))
| cC66(X1)
| ~ cC44(X0) ),
inference(resolution,[status(thm)],[f1027,f1162]) ).
fof(f2483,plain,
! [X0,X1] :
( ~ rR1(X1,sK99_skl(X0))
| cC30(X1)
| ~ cC50(X0) ),
inference(resolution,[status(thm)],[f1071,f952]) ).
fof(f2512,plain,
( ~ cC166xcomp(iV21026)
| cC168(iV21026) ),
inference(resolution,[status(thm)],[f780,f1397]) ).
fof(f2514,definition,
( sQ123_spl
<=> cC166xcomp(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f2516,plain,
( sQ123_spl
| ~ cC166xcomp(iV21026) ),
inference(component_clause,[status(thm)],[f2514]) ).
fof(f2517,plain,
( ~ sQ123_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f2512,f1663,f2514]) ).
fof(f2603,plain,
( ~ sQ39_spl
| ~ cC172xcomp(iV21026)
| cC174(iV21026) ),
inference(resolution,[status(thm)],[f819,f1664]) ).
fof(f2605,definition,
( sQ124_spl
<=> cC172xcomp(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f2607,plain,
( sQ124_spl
| ~ cC172xcomp(iV21026) ),
inference(component_clause,[status(thm)],[f2605]) ).
fof(f2608,plain,
( ~ sQ39_spl
| ~ sQ124_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f2603,f1624,f2605,f1663]) ).
fof(f2672,plain,
! [X0] :
( ~ cC18xcomp(X0)
| ~ cC18(X0) ),
inference(resolution,[status(thm)],[f857,f863]) ).
fof(f2675,plain,
! [X0] :
( cC18(X0)
| cC18xcomp(X0) ),
inference(resolution,[status(thm)],[f864,f858]) ).
fof(f2685,plain,
~ cC18(iV21030),
inference(resolution,[status(thm)],[f2672,f1488]) ).
fof(f2688,plain,
! [X0,X1] :
( ~ rR1(X1,X0)
| cC20(X1)
| cC18(X0) ),
inference(resolution,[status(thm)],[f2675,f886]) ).
fof(f2702,plain,
( cC20(iV21026)
| cC18(iV21030) ),
inference(resolution,[status(thm)],[f2688,f1408]) ).
fof(f2764,definition,
( sQ141_spl
<=> cC18(iV21030) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f2765,plain,
( ~ sQ141_spl
| cC18(iV21030) ),
inference(component_clause,[status(thm)],[f2764]) ).
fof(f2767,plain,
( sQ22_spl
| sQ141_spl ),
inference(split_clause,[status(thm)],[f2702,f2764,f1612]) ).
fof(f2788,plain,
( ~ sQ26_spl
| ~ cC178xcomp(iV21026)
| cC180(iV21026) ),
inference(resolution,[status(thm)],[f869,f1625]) ).
fof(f2790,definition,
( sQ142_spl
<=> cC178xcomp(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f2792,plain,
( sQ142_spl
| ~ cC178xcomp(iV21026) ),
inference(component_clause,[status(thm)],[f2790]) ).
fof(f2793,plain,
( ~ sQ26_spl
| ~ sQ142_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f2788,f1597,f2790,f1624]) ).
fof(f2925,definition,
( sQ155_spl
<=> cC66(iV21027) ),
introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition]) ).
fof(f2937,definition,
( sQ158_spl
<=> cC2xcomp(sK75_skl(iV21027)) ),
introduced(definition,[new_symbols(definition,[sQ158_spl])],[split_symbol_definition]) ).
fof(f2939,plain,
( sQ158_spl
| ~ cC2xcomp(sK75_skl(iV21027)) ),
inference(component_clause,[status(thm)],[f2937]) ).
fof(f2968,definition,
( sQ162_spl
<=> cC2xcomp(sK75_skl(iV21030)) ),
introduced(definition,[new_symbols(definition,[sQ162_spl])],[split_symbol_definition]) ).
fof(f2970,plain,
( sQ162_spl
| ~ cC2xcomp(sK75_skl(iV21030)) ),
inference(component_clause,[status(thm)],[f2968]) ).
fof(f2989,definition,
( sQ164_spl
<=> cC66(iV21029) ),
introduced(definition,[new_symbols(definition,[sQ164_spl])],[split_symbol_definition]) ).
fof(f3001,definition,
( sQ167_spl
<=> cC2xcomp(sK75_skl(iV21029)) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f3003,plain,
( sQ167_spl
| ~ cC2xcomp(sK75_skl(iV21029)) ),
inference(component_clause,[status(thm)],[f3001]) ).
fof(f3015,plain,
( sQ158_spl
| ~ cC24(iV21027) ),
inference(resolution,[status(thm)],[f2939,f901]) ).
fof(f3016,plain,
( sQ158_spl
| ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3015,f1688]) ).
fof(f3017,plain,
( sQ158_spl
| ~ sQ47_spl ),
inference(contradiction_clause,[status(thm)],[f3016]) ).
fof(f3024,plain,
( sQ162_spl
| ~ cC24(iV21030) ),
inference(resolution,[status(thm)],[f2970,f901]) ).
fof(f3025,plain,
( sQ162_spl
| ~ sQ98_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3024,f2186]) ).
fof(f3026,plain,
( sQ162_spl
| ~ sQ98_spl ),
inference(contradiction_clause,[status(thm)],[f3025]) ).
fof(f3051,definition,
( sQ169_spl
<=> cC66(iV21026) ),
introduced(definition,[new_symbols(definition,[sQ169_spl])],[split_symbol_definition]) ).
fof(f3063,definition,
( sQ172_spl
<=> cC2xcomp(sK75_skl(iV21026)) ),
introduced(definition,[new_symbols(definition,[sQ172_spl])],[split_symbol_definition]) ).
fof(f3065,plain,
( sQ172_spl
| ~ cC2xcomp(sK75_skl(iV21026)) ),
inference(component_clause,[status(thm)],[f3063]) ).
fof(f3075,plain,
( sQ167_spl
| ~ cC24(iV21029) ),
inference(resolution,[status(thm)],[f3003,f901]) ).
fof(f3076,plain,
( sQ167_spl
| ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3075,f2115]) ).
fof(f3077,plain,
( sQ167_spl
| ~ sQ87_spl ),
inference(contradiction_clause,[status(thm)],[f3076]) ).
fof(f3083,plain,
( sQ172_spl
| ~ cC24(iV21026) ),
inference(resolution,[status(thm)],[f3065,f901]) ).
fof(f3084,plain,
( sQ172_spl
| ~ sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3083,f1771]) ).
fof(f3085,plain,
( sQ172_spl
| ~ sQ58_spl ),
inference(contradiction_clause,[status(thm)],[f3084]) ).
fof(f3092,plain,
rR1(iV21029,sK83_skl(iV21029)),
inference(resolution,[status(thm)],[f950,f2134]) ).
fof(f3132,plain,
( cC72(iV21029)
| ~ cC30(iV21029) ),
inference(resolution,[status(thm)],[f3092,f2477]) ).
fof(f3141,plain,
( sQ116_spl
| ~ sQ120_spl ),
inference(split_clause,[status(thm)],[f3132,f2395,f2373]) ).
fof(f3426,plain,
( ~ sQ97_spl
| rR1(iV21030,sK90_skl(iV21030)) ),
inference(resolution,[status(thm)],[f1005,f2182]) ).
fof(f3427,plain,
( ~ sQ86_spl
| rR1(iV21029,sK90_skl(iV21029)) ),
inference(resolution,[status(thm)],[f1005,f2111]) ).
fof(f3429,plain,
( ~ sQ40_spl
| rR1(iV21026,sK90_skl(iV21026)) ),
inference(resolution,[status(thm)],[f1005,f1667]) ).
fof(f3433,plain,
( ~ sQ49_spl
| rR1(iV21029,sK92_skl(iV21029)) ),
inference(resolution,[status(thm)],[f1026,f1694]) ).
fof(f3434,plain,
( ~ sQ76_spl
| rR1(iV21027,sK92_skl(iV21027)) ),
inference(resolution,[status(thm)],[f1026,f2046]) ).
fof(f3435,plain,
( ~ sQ56_spl
| rR1(iV21026,sK92_skl(iV21026)) ),
inference(resolution,[status(thm)],[f1026,f1763]) ).
fof(f3458,plain,
( ~ sQ40_spl
| ~ cC2xcomp(sK90_skl(iV21026))
| cC24(iV21026) ),
inference(resolution,[status(thm)],[f3429,f902]) ).
fof(f3473,definition,
( sQ216_spl
<=> cC2xcomp(sK90_skl(iV21026)) ),
introduced(definition,[new_symbols(definition,[sQ216_spl])],[split_symbol_definition]) ).
fof(f3475,plain,
( sQ216_spl
| ~ cC2xcomp(sK90_skl(iV21026)) ),
inference(component_clause,[status(thm)],[f3473]) ).
fof(f3478,plain,
( ~ sQ40_spl
| ~ sQ216_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f3458,f1770,f3473,f1666]) ).
fof(f3487,plain,
( ~ sQ49_spl
| cC66(iV21029)
| ~ cC44(iV21029) ),
inference(resolution,[status(thm)],[f3433,f2481]) ).
fof(f3492,plain,
( ~ sQ49_spl
| ~ cC2xcomp(sK92_skl(iV21029))
| cC4(iV21029) ),
inference(resolution,[status(thm)],[f3433,f1007]) ).
fof(f3495,plain,
( sQ164_spl
| ~ sQ49_spl ),
inference(split_clause,[status(thm)],[f3487,f1693,f2989]) ).
fof(f3508,definition,
( sQ221_spl
<=> cC2xcomp(sK92_skl(iV21029)) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f3510,plain,
( sQ221_spl
| ~ cC2xcomp(sK92_skl(iV21029)) ),
inference(component_clause,[status(thm)],[f3508]) ).
fof(f3512,plain,
( ~ sQ49_spl
| ~ sQ221_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f3492,f2110,f3508,f1693]) ).
fof(f3535,plain,
( ~ sQ97_spl
| ~ cC2xcomp(sK90_skl(iV21030))
| cC24(iV21030) ),
inference(resolution,[status(thm)],[f3426,f902]) ).
fof(f3550,definition,
( sQ226_spl
<=> cC2xcomp(sK90_skl(iV21030)) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f3552,plain,
( sQ226_spl
| ~ cC2xcomp(sK90_skl(iV21030)) ),
inference(component_clause,[status(thm)],[f3550]) ).
fof(f3555,plain,
( ~ sQ97_spl
| ~ sQ226_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f3535,f2185,f3550,f2181]) ).
fof(f3570,plain,
( ~ sQ86_spl
| ~ cC2xcomp(sK90_skl(iV21029))
| cC24(iV21029) ),
inference(resolution,[status(thm)],[f3427,f902]) ).
fof(f3585,definition,
( sQ231_spl
<=> cC2xcomp(sK90_skl(iV21029)) ),
introduced(definition,[new_symbols(definition,[sQ231_spl])],[split_symbol_definition]) ).
fof(f3587,plain,
( sQ231_spl
| ~ cC2xcomp(sK90_skl(iV21029)) ),
inference(component_clause,[status(thm)],[f3585]) ).
fof(f3590,plain,
( ~ sQ86_spl
| ~ sQ231_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f3570,f2114,f3585,f2110]) ).
fof(f3691,plain,
( sQ216_spl
| ~ cC4(iV21026) ),
inference(resolution,[status(thm)],[f3475,f1006]) ).
fof(f3694,plain,
( sQ216_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3691,f1667]) ).
fof(f3695,plain,
( sQ216_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f3694]) ).
fof(f3703,plain,
( ~ sQ76_spl
| cC66(iV21027)
| ~ cC44(iV21027) ),
inference(resolution,[status(thm)],[f3434,f2481]) ).
fof(f3711,plain,
( sQ155_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f3703,f2045,f2925]) ).
fof(f3750,plain,
( ~ sQ56_spl
| cC66(iV21026)
| ~ cC44(iV21026) ),
inference(resolution,[status(thm)],[f3435,f2481]) ).
fof(f3758,plain,
( sQ169_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f3750,f1762,f3051]) ).
fof(f3782,plain,
( sQ221_spl
| ~ cC44(iV21029) ),
inference(resolution,[status(thm)],[f3510,f1027]) ).
fof(f3785,plain,
( sQ221_spl
| ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3782,f1694]) ).
fof(f3786,plain,
( sQ221_spl
| ~ sQ49_spl ),
inference(contradiction_clause,[status(thm)],[f3785]) ).
fof(f3790,plain,
( ~ sQ48_spl
| rR1(iV21029,sK99_skl(iV21029)) ),
inference(resolution,[status(thm)],[f1070,f1691]) ).
fof(f3800,plain,
( ~ sQ48_spl
| cC30(iV21029)
| ~ cC50(iV21029) ),
inference(resolution,[status(thm)],[f3790,f2483]) ).
fof(f3810,plain,
( sQ120_spl
| ~ sQ48_spl ),
inference(split_clause,[status(thm)],[f3800,f1690,f2395]) ).
fof(f3836,plain,
( sQ226_spl
| ~ cC4(iV21030) ),
inference(resolution,[status(thm)],[f3552,f1006]) ).
fof(f3839,plain,
( sQ226_spl
| ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3836,f2182]) ).
fof(f3840,plain,
( sQ226_spl
| ~ sQ97_spl ),
inference(contradiction_clause,[status(thm)],[f3839]) ).
fof(f3878,plain,
( sQ231_spl
| ~ cC4(iV21029) ),
inference(resolution,[status(thm)],[f3587,f1006]) ).
fof(f3881,plain,
( sQ231_spl
| ~ sQ86_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3878,f2111]) ).
fof(f3882,plain,
( sQ231_spl
| ~ sQ86_spl ),
inference(contradiction_clause,[status(thm)],[f3881]) ).
fof(f3934,plain,
( sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1698,f346]) ).
fof(f3935,plain,
sQ50_spl,
inference(contradiction_clause,[status(thm)],[f3934]) ).
fof(f3936,plain,
( sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1686,f346]) ).
fof(f3937,plain,
sQ46_spl,
inference(contradiction_clause,[status(thm)],[f3936]) ).
fof(f3938,plain,
( sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1659,f1744]) ).
fof(f3939,plain,
sQ37_spl,
inference(contradiction_clause,[status(thm)],[f3938]) ).
fof(f3940,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1575,f346]) ).
fof(f3941,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f3940]) ).
fof(f3942,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1550,f347]) ).
fof(f3943,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f3942]) ).
fof(f3944,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1548,f346]) ).
fof(f3945,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f3944]) ).
fof(f3949,plain,
( ~ sQ2_spl
| ~ xsd_integer(sK138_skl) ),
inference(resolution,[status(thm)],[f1553,f350]) ).
fof(f3950,plain,
( ~ sQ2_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f3949,f1556]) ).
fof(f3951,plain,
( ~ sQ2_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f3950]) ).
fof(f3952,plain,
( sQ2_spl
| xsd_integer(sK138_skl) ),
inference(resolution,[status(thm)],[f1554,f351]) ).
fof(f3953,plain,
( sQ2_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f3952,f1555,f1552]) ).
fof(f3954,plain,
( sQ124_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2607,f1401]) ).
fof(f3955,plain,
sQ124_spl,
inference(contradiction_clause,[status(thm)],[f3954]) ).
fof(f3956,plain,
( sQ123_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2516,f1374]) ).
fof(f3957,plain,
sQ123_spl,
inference(contradiction_clause,[status(thm)],[f3956]) ).
fof(f3958,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1632,f1929]) ).
fof(f3959,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f3958]) ).
fof(f3960,plain,
( ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2765,f2685]) ).
fof(f3961,plain,
~ sQ141_spl,
inference(contradiction_clause,[status(thm)],[f3960]) ).
fof(f4520,plain,
( sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1820,f1457]) ).
fof(f4521,plain,
sQ64_spl,
inference(contradiction_clause,[status(thm)],[f4520]) ).
fof(f4752,plain,
! [X0] :
( cC72(X0)
| cC72xcomp(X0) ),
inference(resolution,[status(thm)],[f1218,f1206]) ).
fof(f5263,plain,
( sQ51_spl
| cC72xcomp(iV21030) ),
inference(resolution,[status(thm)],[f4752,f1701]) ).
fof(f5266,plain,
( sQ51_spl
| ~ cC18xcomp(iV21030)
| cC74(iV21030) ),
inference(resolution,[status(thm)],[f5263,f1223]) ).
fof(f5267,definition,
( sQ421_spl
<=> cC74(iV21030) ),
introduced(definition,[new_symbols(definition,[sQ421_spl])],[split_symbol_definition]) ).
fof(f5268,plain,
( ~ sQ421_spl
| cC74(iV21030) ),
inference(component_clause,[status(thm)],[f5267]) ).
fof(f5270,definition,
( sQ422_spl
<=> cC18xcomp(iV21030) ),
introduced(definition,[new_symbols(definition,[sQ422_spl])],[split_symbol_definition]) ).
fof(f5272,plain,
( sQ422_spl
| ~ cC18xcomp(iV21030) ),
inference(component_clause,[status(thm)],[f5270]) ).
fof(f5273,plain,
( sQ51_spl
| ~ sQ422_spl
| sQ421_spl ),
inference(split_clause,[status(thm)],[f5266,f5267,f5270,f1699]) ).
fof(f5275,plain,
( ~ sQ421_spl
| ra_Px87(iV21030,sK120_skl(iV21030)) ),
inference(resolution,[status(thm)],[f5268,f1227]) ).
fof(f5292,plain,
( ~ sQ421_spl
| ~ cC74xcomp(iV21030) ),
inference(resolution,[status(thm)],[f5275,f1233]) ).
fof(f5294,plain,
( ~ sQ421_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5292,f1505]) ).
fof(f5295,plain,
~ sQ421_spl,
inference(contradiction_clause,[status(thm)],[f5294]) ).
fof(f5296,plain,
( sQ422_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f5272,f1488]) ).
fof(f5297,plain,
sQ422_spl,
inference(contradiction_clause,[status(thm)],[f5296]) ).
fof(f5298,plain,
( sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2792,f1406]) ).
fof(f5299,plain,
sQ142_spl,
inference(contradiction_clause,[status(thm)],[f5298]) ).
fof(f5300,plain,
$false,
inference(sat_refutation,[status(thm)],[f1708,f1709,f1711,f1714,f1720,f1725,f1739,f1747,f1803,f1804,f1811,f1821,f1835,f1847,f1904,f1906,f1908,f1914,f1922,f1924,f1926,f1930,f1932,f1936,f1939,f1945,f1947,f1949,f1951,f1961,f1971,f1973,f1975,f1989,f1994,f1996,f1998,f2002,f2004,f2008,f2010,f2051,f2055,f2056,f2065,f2109,f2126,f2144,f2156,f2166,f2180,f2184,f2197,f2383,f2387,f2389,f2391,f2399,f2403,f2517,f2608,f2767,f2793,f3017,f3026,f3077,f3085,f3141,f3478,f3495,f3512,f3555,f3590,f3695,f3711,f3758,f3786,f3810,f3840,f3882,f3935,f3937,f3939,f3941,f3943,f3945,f3951,f3953,f3955,f3957,f3959,f3961,f4521,f5273,f5295,f5297,f5299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS159+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.51 % Computer : n016.cluster.edu
% 0.11/0.51 % Model : x86_64 x86_64
% 0.11/0.51 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.51 % Memory : 8046.5625MB
% 0.11/0.51 % OS : Linux 6.8.0-71-generic
% 0.11/0.51 % CPULimit : 300
% 0.11/0.51 % WCLimit : 300
% 0.11/0.51 % DateTime : Sun Sep 20 22:59:52 UTC 2026
% 0.11/0.51 % CPUTime :
% 0.11/0.53 % Drodi V4.1.1
% 0.18/0.64 % Refutation found
% 0.18/0.64 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.67 % Elapsed time: 0.147681 seconds
% 0.18/0.67 % CPU time: 0.885123 seconds
% 0.18/0.67 % Total memory used: 51.824 MB
% 0.18/0.67 % Net memory used: 51.587 MB
%------------------------------------------------------------------------------