%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS157+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:47:24 AM UTC 2026
% Result : Theorem 1.36s 1.64s
% Output : Proof 1.42s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X] :
( cC10(X)
<=> ? [Y0] : ra_Px87(X,Y0) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cC10(X)
<=> ( cC8xcomp(X)
& cC2xcomp(X) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cC10xcomp(X)
<=> ~ ? [Y] : ra_Px87(X,Y) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cC100(X)
<=> ? [Y] :
( cC98xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cC100(X)
<=> ~ ? [Y] : ra_Px76(X,Y) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cC100xcomp(X)
<=> ? [Y0] : ra_Px76(X,Y0) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( cC102(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( cC104(X)
<=> ( cC102(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( cC106(X)
<=> ? [Y] :
( cC104(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X] :
( cC106(X)
<=> ~ ? [Y] : ra_Px37(X,Y) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X] :
( cC106xcomp(X)
<=> ? [Y0] : ra_Px37(X,Y0) ),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X] :
( cC108(X)
<=> ( cC106xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
! [X] :
( cC108(X)
<=> ? [Y0] : ra_Px45(X,Y0) ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X] :
( cC108xcomp(X)
<=> ~ ? [Y] : ra_Px45(X,Y) ),
file('theBenchmark.p',axiom_15) ).
fof(axiom_16,axiom,
! [X] :
( cC110(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
! [X] :
( cC112(X)
<=> ( cC110(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_17) ).
fof(axiom_18,axiom,
! [X] :
( cC114(X)
<=> ? [Y] :
( cC112(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_18) ).
fof(axiom_19,axiom,
! [X] :
( cC114(X)
<=> ~ ? [Y] : ra_Px40(X,Y) ),
file('theBenchmark.p',axiom_19) ).
fof(axiom_20,axiom,
! [X] :
( cC114xcomp(X)
<=> ? [Y0] : ra_Px40(X,Y0) ),
file('theBenchmark.p',axiom_20) ).
fof(axiom_21,axiom,
! [X] :
( cC116(X)
<=> ( cC114xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_21) ).
fof(axiom_22,axiom,
! [X] :
( cC118(X)
<=> ? [Y] :
( cC116(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_22) ).
fof(axiom_23,axiom,
! [X] :
( cC12(X)
<=> ~ ? [Y] : ra_Px4(X,Y) ),
file('theBenchmark.p',axiom_23) ).
fof(axiom_24,axiom,
! [X] :
( cC12(X)
<=> ? [Y] :
( cC10(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_24) ).
fof(axiom_25,axiom,
! [X] :
( cC12xcomp(X)
<=> ? [Y0] : ra_Px4(X,Y0) ),
file('theBenchmark.p',axiom_25) ).
fof(axiom_26,axiom,
! [X] :
( cC120(X)
<=> ? [Y] :
( cC118(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_26) ).
fof(axiom_27,axiom,
! [X] :
( cC122(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_27) ).
fof(axiom_28,axiom,
! [X] :
( cC124(X)
<=> ( cC122(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_28) ).
fof(axiom_29,axiom,
! [X] :
( cC126(X)
<=> ~ ? [Y] : ra_Px43(X,Y) ),
file('theBenchmark.p',axiom_29) ).
fof(axiom_30,axiom,
! [X] :
( cC126(X)
<=> ? [Y] :
( cC124(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_30) ).
fof(axiom_31,axiom,
! [X] :
( cC126xcomp(X)
<=> ? [Y0] : ra_Px43(X,Y0) ),
file('theBenchmark.p',axiom_31) ).
fof(axiom_32,axiom,
! [X] :
( cC128(X)
<=> ( cC126xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_32) ).
fof(axiom_33,axiom,
! [X] :
( cC130(X)
<=> ? [Y] :
( cC128(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_33) ).
fof(axiom_34,axiom,
! [X] :
( cC130(X)
<=> ? [Y0] : ra_Px44(X,Y0) ),
file('theBenchmark.p',axiom_34) ).
fof(axiom_35,axiom,
! [X] :
( cC130xcomp(X)
<=> ~ ? [Y] : ra_Px44(X,Y) ),
file('theBenchmark.p',axiom_35) ).
fof(axiom_36,axiom,
! [X] :
( cC132(X)
<=> ( cC130xcomp(X)
& cC120(X) ) ),
file('theBenchmark.p',axiom_36) ).
fof(axiom_37,axiom,
! [X] :
( cC132(X)
<=> ~ ? [Y] : ra_Px46(X,Y) ),
file('theBenchmark.p',axiom_37) ).
fof(axiom_38,axiom,
! [X] :
( cC132xcomp(X)
<=> ? [Y0] : ra_Px46(X,Y0) ),
file('theBenchmark.p',axiom_38) ).
fof(axiom_39,axiom,
! [X] :
( cC134(X)
<=> ? [Y0] : ra_Px72(X,Y0) ),
file('theBenchmark.p',axiom_39) ).
fof(axiom_40,axiom,
! [X] :
( cC134(X)
<=> ( cC108xcomp(X)
& cC132xcomp(X) ) ),
file('theBenchmark.p',axiom_40) ).
fof(axiom_41,axiom,
! [X] :
( cC134xcomp(X)
<=> ~ ? [Y] : ra_Px72(X,Y) ),
file('theBenchmark.p',axiom_41) ).
fof(axiom_42,axiom,
! [X] :
( cC136(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_42) ).
fof(axiom_43,axiom,
! [X] :
( cC138(X)
<=> ( cC136(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_43) ).
fof(axiom_44,axiom,
! [X] :
( cC14(X)
<=> ( cC12xcomp(X)
& cC2xcomp(X) ) ),
file('theBenchmark.p',axiom_44) ).
fof(axiom_45,axiom,
! [X] :
( cC140(X)
<=> ? [Y] :
( cC138(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_45) ).
fof(axiom_46,axiom,
! [X] :
( cC140(X)
<=> ~ ? [Y] : ra_Px49(X,Y) ),
file('theBenchmark.p',axiom_46) ).
fof(axiom_47,axiom,
! [X] :
( cC140xcomp(X)
<=> ? [Y0] : ra_Px49(X,Y0) ),
file('theBenchmark.p',axiom_47) ).
fof(axiom_48,axiom,
! [X] :
( cC142(X)
<=> ( cC140xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_48) ).
fof(axiom_49,axiom,
! [X] :
( cC142(X)
<=> ? [Y0] : ra_Px57(X,Y0) ),
file('theBenchmark.p',axiom_49) ).
fof(axiom_50,axiom,
! [X] :
( cC142xcomp(X)
<=> ~ ? [Y] : ra_Px57(X,Y) ),
file('theBenchmark.p',axiom_50) ).
fof(axiom_51,axiom,
! [X] :
( cC144(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_51) ).
fof(axiom_52,axiom,
! [X] :
( cC146(X)
<=> ( cC16(X)
& cC144(X) ) ),
file('theBenchmark.p',axiom_52) ).
fof(axiom_53,axiom,
! [X] :
( cC148(X)
<=> ~ ? [Y] : ra_Px52(X,Y) ),
file('theBenchmark.p',axiom_53) ).
fof(axiom_54,axiom,
! [X] :
( cC148(X)
<=> ? [Y] :
( cC146(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_54) ).
fof(axiom_55,axiom,
! [X] :
( cC148xcomp(X)
<=> ? [Y0] : ra_Px52(X,Y0) ),
file('theBenchmark.p',axiom_55) ).
fof(axiom_56,axiom,
! [X] :
( cC150(X)
<=> ( cC148xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_56) ).
fof(axiom_57,axiom,
! [X] :
( cC152(X)
<=> ? [Y] :
( cC150(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_57) ).
fof(axiom_58,axiom,
! [X] :
( cC154(X)
<=> ? [Y] :
( cC152(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_58) ).
fof(axiom_59,axiom,
! [X] :
( cC156(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_59) ).
fof(axiom_60,axiom,
! [X] :
( cC158(X)
<=> ( cC156(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_60) ).
fof(axiom_61,axiom,
! [X] :
( cC16(X)
<=> ? [Y0] : ra_Px5(X,Y0) ),
file('theBenchmark.p',axiom_61) ).
fof(axiom_62,axiom,
! [X] :
( cC16xcomp(X)
<=> ~ ? [Y] : ra_Px5(X,Y) ),
file('theBenchmark.p',axiom_62) ).
fof(axiom_63,axiom,
! [X] :
( cC160(X)
<=> ~ ? [Y] : ra_Px55(X,Y) ),
file('theBenchmark.p',axiom_63) ).
fof(axiom_64,axiom,
! [X] :
( cC160(X)
<=> ? [Y] :
( cC158(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_64) ).
fof(axiom_65,axiom,
! [X] :
( cC160xcomp(X)
<=> ? [Y0] : ra_Px55(X,Y0) ),
file('theBenchmark.p',axiom_65) ).
fof(axiom_66,axiom,
! [X] :
( cC162(X)
<=> ( cC160xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_66) ).
fof(axiom_67,axiom,
! [X] :
( cC164(X)
<=> ? [Y] :
( cC162(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_67) ).
fof(axiom_68,axiom,
! [X] :
( cC164(X)
<=> ? [Y0] : ra_Px56(X,Y0) ),
file('theBenchmark.p',axiom_68) ).
fof(axiom_69,axiom,
! [X] :
( cC164xcomp(X)
<=> ~ ? [Y] : ra_Px56(X,Y) ),
file('theBenchmark.p',axiom_69) ).
fof(axiom_70,axiom,
! [X] :
( cC166(X)
<=> ( cC154(X)
& cC164xcomp(X) ) ),
file('theBenchmark.p',axiom_70) ).
fof(axiom_71,axiom,
! [X] :
( cC166(X)
<=> ~ ? [Y] : ra_Px58(X,Y) ),
file('theBenchmark.p',axiom_71) ).
fof(axiom_72,axiom,
! [X] :
( cC166xcomp(X)
<=> ? [Y0] : ra_Px58(X,Y0) ),
file('theBenchmark.p',axiom_72) ).
fof(axiom_73,axiom,
! [X] :
( cC168(X)
<=> ( cC166xcomp(X)
& cC142xcomp(X) ) ),
file('theBenchmark.p',axiom_73) ).
fof(axiom_74,axiom,
! [X] :
( cC168(X)
<=> ? [Y0] : ra_Px59(X,Y0) ),
file('theBenchmark.p',axiom_74) ).
fof(axiom_75,axiom,
! [X] :
( cC168xcomp(X)
<=> ~ ? [Y] : ra_Px59(X,Y) ),
file('theBenchmark.p',axiom_75) ).
fof(axiom_76,axiom,
! [X] :
( cC170(X)
<=> ? [Y] :
( cC168xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_76) ).
fof(axiom_77,axiom,
! [X] :
( cC172(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_77) ).
fof(axiom_78,axiom,
! [X] :
( cC174(X)
<=> ( cC172(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_78) ).
fof(axiom_79,axiom,
! [X] :
( cC176(X)
<=> ? [Y0] : ra_Px62(X,Y0) ),
file('theBenchmark.p',axiom_79) ).
fof(axiom_80,axiom,
! [X] :
( cC176(X)
<=> ? [Y] :
( cC174(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_80) ).
fof(axiom_81,axiom,
! [X] :
( cC176xcomp(X)
<=> ~ ? [Y] : ra_Px62(X,Y) ),
file('theBenchmark.p',axiom_81) ).
fof(axiom_82,axiom,
! [X] :
( cC178(X)
<=> ~ ? [Y] : ra_Px70(X,Y) ),
file('theBenchmark.p',axiom_82) ).
fof(axiom_83,axiom,
! [X] :
( cC178(X)
<=> ( cC176xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_83) ).
fof(axiom_84,axiom,
! [X] :
( cC178xcomp(X)
<=> ? [Y0] : ra_Px70(X,Y0) ),
file('theBenchmark.p',axiom_84) ).
fof(axiom_85,axiom,
! [X] :
( cC18(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_85) ).
fof(axiom_86,axiom,
! [X] :
( cC180(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_86) ).
fof(axiom_87,axiom,
! [X] :
( cC182(X)
<=> ( cC180(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_87) ).
fof(axiom_88,axiom,
! [X] :
( cC184(X)
<=> ? [Y0] : ra_Px65(X,Y0) ),
file('theBenchmark.p',axiom_88) ).
fof(axiom_89,axiom,
! [X] :
( cC184(X)
<=> ? [Y] :
( cC182(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_89) ).
fof(axiom_90,axiom,
! [X] :
( cC184xcomp(X)
<=> ~ ? [Y] : ra_Px65(X,Y) ),
file('theBenchmark.p',axiom_90) ).
fof(axiom_91,axiom,
! [X] :
( cC186(X)
<=> ( cC184xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_91) ).
fof(axiom_92,axiom,
! [X] :
( cC188(X)
<=> ? [Y] :
( cC186(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_92) ).
fof(axiom_93,axiom,
! [X] :
( cC190(X)
<=> ? [Y] :
( cC188(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_93) ).
fof(axiom_94,axiom,
! [X] :
( cC192(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_94) ).
fof(axiom_95,axiom,
! [X] :
( cC194(X)
<=> ( cC192(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_95) ).
fof(axiom_96,axiom,
! [X] :
( cC196(X)
<=> ? [Y0] : ra_Px68(X,Y0) ),
file('theBenchmark.p',axiom_96) ).
fof(axiom_97,axiom,
! [X] :
( cC196(X)
<=> ? [Y] :
( cC194(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_97) ).
fof(axiom_98,axiom,
! [X] :
( cC196xcomp(X)
<=> ~ ? [Y] : ra_Px68(X,Y) ),
file('theBenchmark.p',axiom_98) ).
fof(axiom_99,axiom,
! [X] :
( cC198(X)
<=> ( cC196xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_99) ).
fof(axiom_100,axiom,
! [X] :
( cC2(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_100) ).
fof(axiom_101,axiom,
! [X] :
( cC2xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_101) ).
fof(axiom_102,axiom,
! [X] :
( cC20(X)
<=> ( cC16(X)
& cC18(X) ) ),
file('theBenchmark.p',axiom_102) ).
fof(axiom_103,axiom,
! [X] :
( cC200(X)
<=> ? [Y] :
( cC198(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_103) ).
fof(axiom_104,axiom,
! [X] :
( cC200(X)
<=> ? [Y0] : ra_Px69(X,Y0) ),
file('theBenchmark.p',axiom_104) ).
fof(axiom_105,axiom,
! [X] :
( cC200xcomp(X)
<=> ~ ? [Y] : ra_Px69(X,Y) ),
file('theBenchmark.p',axiom_105) ).
fof(axiom_106,axiom,
! [X] :
( cC202(X)
<=> ( cC190(X)
& cC200xcomp(X) ) ),
file('theBenchmark.p',axiom_106) ).
fof(axiom_107,axiom,
! [X] :
( cC202(X)
<=> ? [Y0] : ra_Px71(X,Y0) ),
file('theBenchmark.p',axiom_107) ).
fof(axiom_108,axiom,
! [X] :
( cC202xcomp(X)
<=> ~ ? [Y] : ra_Px71(X,Y) ),
file('theBenchmark.p',axiom_108) ).
fof(axiom_109,axiom,
! [X] :
( cC204(X)
<=> ( cC178xcomp(X)
& cC202xcomp(X) ) ),
file('theBenchmark.p',axiom_109) ).
fof(axiom_110,axiom,
! [X] :
( cC206(X)
<=> ( cC170(X)
& cC204(X) ) ),
file('theBenchmark.p',axiom_110) ).
fof(axiom_111,axiom,
! [X] :
( cC208(X)
<=> ? [Y] :
( cC206(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_111) ).
fof(axiom_112,axiom,
! [X] :
( cC208(X)
<=> ~ ? [Y] : ra_Px73(X,Y) ),
file('theBenchmark.p',axiom_112) ).
fof(axiom_113,axiom,
! [X] :
( cC208xcomp(X)
<=> ? [Y0] : ra_Px73(X,Y0) ),
file('theBenchmark.p',axiom_113) ).
fof(axiom_114,axiom,
! [X] :
( cC210(X)
<=> ( cC208xcomp(X)
& cC134xcomp(X) ) ),
file('theBenchmark.p',axiom_114) ).
fof(axiom_115,axiom,
! [X] :
( cC212(X)
<=> ? [Y0] : ra_Px74(X,Y0) ),
file('theBenchmark.p',axiom_115) ).
fof(axiom_116,axiom,
! [X] :
( cC212(X)
<=> ? [Y] :
( cC210(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_116) ).
fof(axiom_117,axiom,
! [X] :
( cC212xcomp(X)
<=> ~ ? [Y] : ra_Px74(X,Y) ),
file('theBenchmark.p',axiom_117) ).
fof(axiom_118,axiom,
! [X] :
( cC214(X)
<=> ? [Y0] : ra_Px75(X,Y0) ),
file('theBenchmark.p',axiom_118) ).
fof(axiom_119,axiom,
! [X] :
( cC214(X)
<=> ( cC100(X)
& cC212xcomp(X) ) ),
file('theBenchmark.p',axiom_119) ).
fof(axiom_120,axiom,
! [X] :
( cC214xcomp(X)
<=> ~ ? [Y] : ra_Px75(X,Y) ),
file('theBenchmark.p',axiom_120) ).
fof(axiom_121,axiom,
! [X] :
( cC216(X)
<=> ( cC214xcomp(X)
& cC64(X) ) ),
file('theBenchmark.p',axiom_121) ).
fof(axiom_122,axiom,
! [X] :
( cC22(X)
<=> ~ ? [Y] : ra_Px7(X,Y) ),
file('theBenchmark.p',axiom_122) ).
fof(axiom_123,axiom,
! [X] :
( cC22(X)
<=> ? [Y] :
( cC20(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_123) ).
fof(axiom_124,axiom,
! [X] :
( cC22xcomp(X)
<=> ? [Y0] : ra_Px7(X,Y0) ),
file('theBenchmark.p',axiom_124) ).
fof(axiom_125,axiom,
! [X] :
( cC24(X)
<=> ~ ? [Y] : ra_Px88(X,Y) ),
file('theBenchmark.p',axiom_125) ).
fof(axiom_126,axiom,
! [X] :
( cC24(X)
<=> ( cC22xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_126) ).
fof(axiom_127,axiom,
! [X] :
( cC24xcomp(X)
<=> ? [Y0] : ra_Px88(X,Y0) ),
file('theBenchmark.p',axiom_127) ).
fof(axiom_128,axiom,
! [X] :
( cC26(X)
<=> ? [Y0] : ra_Px9(X,Y0) ),
file('theBenchmark.p',axiom_128) ).
fof(axiom_129,axiom,
! [X] :
( cC26(X)
<=> ? [Y] :
( cC24(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_129) ).
fof(axiom_130,axiom,
! [X] :
( cC26xcomp(X)
<=> ~ ? [Y] : ra_Px9(X,Y) ),
file('theBenchmark.p',axiom_130) ).
fof(axiom_131,axiom,
! [X] :
( cC28(X)
<=> ( cC26xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_131) ).
fof(axiom_132,axiom,
! [X] :
( cC30(X)
<=> ( cC14(X)
& cC28(X) ) ),
file('theBenchmark.p',axiom_132) ).
fof(axiom_133,axiom,
! [X] :
( cC32(X)
<=> ~ ? [Y] : ra_Px10(X,Y) ),
file('theBenchmark.p',axiom_133) ).
fof(axiom_134,axiom,
! [X] :
( cC32xcomp(X)
<=> ? [Y0] : ra_Px10(X,Y0) ),
file('theBenchmark.p',axiom_134) ).
fof(axiom_135,axiom,
! [X] :
( cC34(X)
<=> ? [Y] :
( cC32xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_135) ).
fof(axiom_136,axiom,
! [X] :
( cC36(X)
<=> ( cC32(X)
& cC34(X) ) ),
file('theBenchmark.p',axiom_136) ).
fof(axiom_137,axiom,
! [X] :
( cC38(X)
<=> ? [Y] :
( cC36(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_137) ).
fof(axiom_138,axiom,
! [X] :
( cC38(X)
<=> ? [Y0] : ra_Px12(X,Y0) ),
file('theBenchmark.p',axiom_138) ).
fof(axiom_139,axiom,
! [X] :
( cC38xcomp(X)
<=> ~ ? [Y] : ra_Px12(X,Y) ),
file('theBenchmark.p',axiom_139) ).
fof(axiom_140,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_140) ).
fof(axiom_141,axiom,
! [X] :
( cC40(X)
<=> ? [Y0] : ra_Px86(X,Y0) ),
file('theBenchmark.p',axiom_141) ).
fof(axiom_142,axiom,
! [X] :
( cC40(X)
<=> ( cC38xcomp(X)
& cC32xcomp(X) ) ),
file('theBenchmark.p',axiom_142) ).
fof(axiom_143,axiom,
! [X] :
( cC40xcomp(X)
<=> ~ ? [Y] : ra_Px86(X,Y) ),
file('theBenchmark.p',axiom_143) ).
fof(axiom_144,axiom,
! [X] :
( cC42(X)
<=> ? [Y0] : ra_Px14(X,Y0) ),
file('theBenchmark.p',axiom_144) ).
fof(axiom_145,axiom,
! [X] :
( cC42(X)
<=> ? [Y] :
( cC40(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_145) ).
fof(axiom_146,axiom,
! [X] :
( cC42xcomp(X)
<=> ~ ? [Y] : ra_Px14(X,Y) ),
file('theBenchmark.p',axiom_146) ).
fof(axiom_147,axiom,
! [X] :
( cC44(X)
<=> ( cC32xcomp(X)
& cC42xcomp(X) ) ),
file('theBenchmark.p',axiom_147) ).
fof(axiom_148,axiom,
! [X] :
( cC46(X)
<=> ( cC44(X)
& cC30(X) ) ),
file('theBenchmark.p',axiom_148) ).
fof(axiom_149,axiom,
! [X] :
( cC48(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_149) ).
fof(axiom_150,axiom,
! [X] :
( cC50(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_150) ).
fof(axiom_151,axiom,
! [X] :
( cC52(X)
<=> ( cC16(X)
& cC50(X) ) ),
file('theBenchmark.p',axiom_151) ).
fof(axiom_152,axiom,
! [X] :
( cC54(X)
<=> ? [Y0] : ra_Px18(X,Y0) ),
file('theBenchmark.p',axiom_152) ).
fof(axiom_153,axiom,
! [X] :
( cC54(X)
<=> ? [Y] :
( cC52(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_153) ).
fof(axiom_154,axiom,
! [X] :
( cC54xcomp(X)
<=> ~ ? [Y] : ra_Px18(X,Y) ),
file('theBenchmark.p',axiom_154) ).
fof(axiom_155,axiom,
! [X] :
( cC56(X)
<=> ( cC54xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_155) ).
fof(axiom_156,axiom,
! [X] :
( cC58(X)
<=> ~ ? [Y] : ra_Px19(X,Y) ),
file('theBenchmark.p',axiom_156) ).
fof(axiom_157,axiom,
! [X] :
( cC58(X)
<=> ? [Y] :
( cC56(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_157) ).
fof(axiom_158,axiom,
! [X] :
( cC58xcomp(X)
<=> ? [Y0] : ra_Px19(X,Y0) ),
file('theBenchmark.p',axiom_158) ).
fof(axiom_159,axiom,
! [X] :
( cC6(X)
<=> ( cC4(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_159) ).
fof(axiom_160,axiom,
! [X] :
( cC60(X)
<=> ~ ? [Y] : ra_Px85(X,Y) ),
file('theBenchmark.p',axiom_160) ).
fof(axiom_161,axiom,
! [X] :
( cC60(X)
<=> ( cC58xcomp(X)
& cC48(X) ) ),
file('theBenchmark.p',axiom_161) ).
fof(axiom_162,axiom,
! [X] :
( cC60xcomp(X)
<=> ? [Y0] : ra_Px85(X,Y0) ),
file('theBenchmark.p',axiom_162) ).
fof(axiom_163,axiom,
! [X] :
( cC62(X)
<=> ? [Y] :
( cC60(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_163) ).
fof(axiom_164,axiom,
! [X] :
( cC62(X)
<=> ? [Y0] : ra_Px20(X,Y0) ),
file('theBenchmark.p',axiom_164) ).
fof(axiom_165,axiom,
! [X] :
( cC62xcomp(X)
<=> ~ ? [Y] : ra_Px20(X,Y) ),
file('theBenchmark.p',axiom_165) ).
fof(axiom_166,axiom,
! [X] :
( cC64(X)
<=> ( cTOP(X)
& cC62xcomp(X) ) ),
file('theBenchmark.p',axiom_166) ).
fof(axiom_167,axiom,
! [X] :
( cC66(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_167) ).
fof(axiom_168,axiom,
! [X] :
( cC68(X)
<=> ( cC66(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_168) ).
fof(axiom_169,axiom,
! [X] :
( cC70(X)
<=> ? [Y] :
( cC68(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_169) ).
fof(axiom_170,axiom,
! [X] :
( cC70(X)
<=> ? [Y0] : ra_Px23(X,Y0) ),
file('theBenchmark.p',axiom_170) ).
fof(axiom_171,axiom,
! [X] :
( cC70xcomp(X)
<=> ~ ? [Y] : ra_Px23(X,Y) ),
file('theBenchmark.p',axiom_171) ).
fof(axiom_172,axiom,
! [X] :
( cC72(X)
<=> ~ ? [Y] : ra_Px31(X,Y) ),
file('theBenchmark.p',axiom_172) ).
fof(axiom_173,axiom,
! [X] :
( cC72(X)
<=> ( cC70xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_173) ).
fof(axiom_174,axiom,
! [X] :
( cC72xcomp(X)
<=> ? [Y0] : ra_Px31(X,Y0) ),
file('theBenchmark.p',axiom_174) ).
fof(axiom_175,axiom,
! [X] :
( cC74(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_175) ).
fof(axiom_176,axiom,
! [X] :
( cC76(X)
<=> ( cC74(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_176) ).
fof(axiom_177,axiom,
! [X] :
( cC78(X)
<=> ? [Y] :
( cC76(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_177) ).
fof(axiom_178,axiom,
! [X] :
( cC78(X)
<=> ? [Y0] : ra_Px26(X,Y0) ),
file('theBenchmark.p',axiom_178) ).
fof(axiom_179,axiom,
! [X] :
( cC78xcomp(X)
<=> ~ ? [Y] : ra_Px26(X,Y) ),
file('theBenchmark.p',axiom_179) ).
fof(axiom_180,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( cC6(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_180) ).
fof(axiom_181,axiom,
! [X] :
( cC8(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('theBenchmark.p',axiom_181) ).
fof(axiom_182,axiom,
! [X] :
( cC8xcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('theBenchmark.p',axiom_182) ).
fof(axiom_183,axiom,
! [X] :
( cC80(X)
<=> ( cC78xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_183) ).
fof(axiom_184,axiom,
! [X] :
( cC82(X)
<=> ? [Y] :
( cC80(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_184) ).
fof(axiom_185,axiom,
! [X] :
( cC84(X)
<=> ? [Y] :
( cC82(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_185) ).
fof(axiom_186,axiom,
! [X] :
( cC86(X)
<=> ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_186) ).
fof(axiom_187,axiom,
! [X] :
( cC88(X)
<=> ( cC86(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_187) ).
fof(axiom_188,axiom,
! [X] :
( cC90(X)
<=> ? [Y] :
( cC88(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_188) ).
fof(axiom_189,axiom,
! [X] :
( cC90(X)
<=> ? [Y0] : ra_Px29(X,Y0) ),
file('theBenchmark.p',axiom_189) ).
fof(axiom_190,axiom,
! [X] :
( cC90xcomp(X)
<=> ~ ? [Y] : ra_Px29(X,Y) ),
file('theBenchmark.p',axiom_190) ).
fof(axiom_191,axiom,
! [X] :
( cC92(X)
<=> ( cC90xcomp(X)
& cC16xcomp(X) ) ),
file('theBenchmark.p',axiom_191) ).
fof(axiom_192,axiom,
! [X] :
( cC94(X)
<=> ? [Y0] : ra_Px30(X,Y0) ),
file('theBenchmark.p',axiom_192) ).
fof(axiom_193,axiom,
! [X] :
( cC94(X)
<=> ? [Y] :
( cC92(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_193) ).
fof(axiom_194,axiom,
! [X] :
( cC94xcomp(X)
<=> ~ ? [Y] : ra_Px30(X,Y) ),
file('theBenchmark.p',axiom_194) ).
fof(axiom_195,axiom,
! [X] :
( cC96(X)
<=> ? [Y0] : ra_Px32(X,Y0) ),
file('theBenchmark.p',axiom_195) ).
fof(axiom_196,axiom,
! [X] :
( cC96(X)
<=> ( cC94xcomp(X)
& cC84(X) ) ),
file('theBenchmark.p',axiom_196) ).
fof(axiom_197,axiom,
! [X] :
( cC96xcomp(X)
<=> ~ ? [Y] : ra_Px32(X,Y) ),
file('theBenchmark.p',axiom_197) ).
fof(axiom_198,axiom,
! [X] :
( cC98(X)
<=> ~ ? [Y] : ra_Px34(X,Y) ),
file('theBenchmark.p',axiom_198) ).
fof(axiom_199,axiom,
! [X] :
( cC98(X)
<=> ( cC96xcomp(X)
& cC72xcomp(X) ) ),
file('theBenchmark.p',axiom_199) ).
fof(axiom_200,axiom,
! [X] :
( cC98xcomp(X)
<=> ? [Y0] : ra_Px34(X,Y0) ),
file('theBenchmark.p',axiom_200) ).
fof(axiom_201,axiom,
! [X] :
( cTEST(X)
<=> ( cC46(X)
& cC216(X) ) ),
file('theBenchmark.p',axiom_201) ).
fof(axiom_202,axiom,
cTEST(iV3102),
file('theBenchmark.p',axiom_202) ).
fof(axiom_203,axiom,
cC2xcomp(iV3102),
file('theBenchmark.p',axiom_203) ).
fof(axiom_204,axiom,
! [X] :
( rR1(iV3102,X)
=> cC24xcomp(X) ),
file('theBenchmark.p',axiom_204) ).
fof(axiom_205,axiom,
cTOP(iV3102),
file('theBenchmark.p',axiom_205) ).
fof(axiom_206,axiom,
cC26xcomp(iV3102),
file('theBenchmark.p',axiom_206) ).
fof(axiom_207,axiom,
cC32xcomp(iV3102),
file('theBenchmark.p',axiom_207) ).
fof(axiom_208,axiom,
! [X] :
( rR1(iV3102,X)
=> cC98(X) ),
file('theBenchmark.p',axiom_208) ).
fof(axiom_209,axiom,
! [X] :
( rR1(iV3102,X)
=> cC60xcomp(X) ),
file('theBenchmark.p',axiom_209) ).
fof(axiom_210,axiom,
cC16xcomp(iV3102),
file('theBenchmark.p',axiom_210) ).
fof(axiom_211,axiom,
cC42xcomp(iV3102),
file('theBenchmark.p',axiom_211) ).
fof(axiom_212,axiom,
cC62xcomp(iV3102),
file('theBenchmark.p',axiom_212) ).
fof(axiom_213,axiom,
! [X] :
( rR1(iV3102,X)
=> cC40xcomp(X) ),
file('theBenchmark.p',axiom_213) ).
fof(axiom_214,axiom,
! [X] :
( rR1(iV3102,X)
=> cC10xcomp(X) ),
file('theBenchmark.p',axiom_214) ).
fof(axiom_215,axiom,
cC12xcomp(iV3102),
file('theBenchmark.p',axiom_215) ).
fof(axiom_216,axiom,
cC214xcomp(iV3102),
file('theBenchmark.p',axiom_216) ).
fof(axiom_217,axiom,
cowlThing(iV3102),
file('theBenchmark.p',axiom_217) ).
fof(axiom_218,axiom,
cC100xcomp(iV3102),
file('theBenchmark.p',axiom_218) ).
fof(the_axiom,conjecture,
( cC30(iV3102)
& cowlThing(iV3102)
& cC28(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& cC216(iV3102)
& cC44(iV3102)
& cC14(iV3102)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('theBenchmark.p',the_axiom) ).
fof(f_1_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_1_2,plain,
! [U_0] :
( ~ cowlNothing(U_0)
& cowlThing(U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_2] : ~ cowlNothing(U_2)
& ! [U_1] : cowlThing(U_1) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
cowlThing(U_1),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,plain,
~ cowlNothing(U_2),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_2_2,plain,
! [U_3] :
( ( xsd_string(U_3)
| xsd_integer(U_3) )
& ( ~ xsd_integer(U_3)
| ~ xsd_string(U_3) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_5] :
( xsd_string(U_5)
| xsd_integer(U_5) )
& ! [U_4] :
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_5,plain,
( xsd_string(U_5)
| xsd_integer(U_5) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [X] :
( ( cC10(X)
| ! [Y0] : ~ ra_Px87(X,Y0) )
& ( ? [Y0] : ra_Px87(X,Y0)
| ~ cC10(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_8] :
( ( cC10(U_8)
| ! [U_7] : ~ ra_Px87(U_8,U_7) )
& ( ? [U_6] : ra_Px87(U_8,U_6)
| ~ cC10(U_8) ) ),
inference(variable_rename,[status(thm)],[f_3_1]) ).
fof(f_3_3,plain,
( ! [U_10] :
( cC10(U_10)
| ! [U_7] : ~ ra_Px87(U_10,U_7) )
& ! [U_9] :
( ? [U_6] : ra_Px87(U_9,U_6)
| ~ cC10(U_9) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_10] :
( cC10(U_10)
| ! [U_7] : ~ ra_Px87(U_10,U_7) )
& ! [U_9] :
( ra_Px87(U_9,sK1(U_9))
| ~ cC10(U_9) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_9))],[f_3_3]) ).
cnf(f_3_5,plain,
( ra_Px87(U_9,sK1(U_9))
| ~ cC10(U_9) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_6,plain,
( cC10(U_10)
| ~ ra_Px87(U_10,U_7) ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
! [X] :
( ( cC10(X)
| ~ cC8xcomp(X)
| ~ cC2xcomp(X) )
& ( ( cC8xcomp(X)
& cC2xcomp(X) )
| ~ cC10(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_11] :
( ( cC10(U_11)
| ~ cC8xcomp(U_11)
| ~ cC2xcomp(U_11) )
& ( ( cC8xcomp(U_11)
& cC2xcomp(U_11) )
| ~ cC10(U_11) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_13] :
( cC10(U_13)
| ~ cC8xcomp(U_13)
| ~ cC2xcomp(U_13) )
& ! [U_12] :
( ( cC8xcomp(U_12)
& cC2xcomp(U_12) )
| ~ cC10(U_12) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
cnf(f_4_4,plain,
( cC2xcomp(U_12)
| ~ cC10(U_12) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_5,plain,
( cC8xcomp(U_12)
| ~ cC10(U_12) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_6,plain,
( cC10(U_13)
| ~ cC8xcomp(U_13)
| ~ cC2xcomp(U_13) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [X] :
( ( cC10xcomp(X)
| ? [Y] : ra_Px87(X,Y) )
& ( ! [Y] : ~ ra_Px87(X,Y)
| ~ cC10xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_16] :
( ( cC10xcomp(U_16)
| ? [U_15] : ra_Px87(U_16,U_15) )
& ( ! [U_14] : ~ ra_Px87(U_16,U_14)
| ~ cC10xcomp(U_16) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_18] :
( cC10xcomp(U_18)
| ? [U_15] : ra_Px87(U_18,U_15) )
& ! [U_17] :
( ! [U_14] : ~ ra_Px87(U_17,U_14)
| ~ cC10xcomp(U_17) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_18] :
( cC10xcomp(U_18)
| ra_Px87(U_18,sK2(U_18)) )
& ! [U_17] :
( ! [U_14] : ~ ra_Px87(U_17,U_14)
| ~ cC10xcomp(U_17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_15,sK2(U_18))],[f_5_3]) ).
cnf(f_5_5,plain,
( ~ ra_Px87(U_17,U_14)
| ~ cC10xcomp(U_17) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_6,plain,
( cC10xcomp(U_18)
| ra_Px87(U_18,sK2(U_18)) ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_6_1,plain,
! [X] :
( ( cC100(X)
| ! [Y] :
( ~ cC98xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC98xcomp(Y)
& rR1(X,Y) )
| ~ cC100(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_21] :
( ( cC100(U_21)
| ! [U_20] :
( ~ cC98xcomp(U_20)
| ~ rR1(U_21,U_20) ) )
& ( ? [U_19] :
( cC98xcomp(U_19)
& rR1(U_21,U_19) )
| ~ cC100(U_21) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_23] :
( cC100(U_23)
| ! [U_20] :
( ~ cC98xcomp(U_20)
| ~ rR1(U_23,U_20) ) )
& ! [U_22] :
( ? [U_19] :
( cC98xcomp(U_19)
& rR1(U_22,U_19) )
| ~ cC100(U_22) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ! [U_23] :
( cC100(U_23)
| ! [U_20] :
( ~ cC98xcomp(U_20)
| ~ rR1(U_23,U_20) ) )
& ! [U_22] :
( ( cC98xcomp(sK3(U_22))
& rR1(U_22,sK3(U_22)) )
| ~ cC100(U_22) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_19,sK3(U_22))],[f_6_3]) ).
cnf(f_6_5,plain,
( rR1(U_22,sK3(U_22))
| ~ cC100(U_22) ),
inference(clausify,[status(thm)],[f_6_4]) ).
cnf(f_6_6,plain,
( cC98xcomp(sK3(U_22))
| ~ cC100(U_22) ),
inference(clausify,[status(thm)],[f_6_4]) ).
cnf(f_6_7,plain,
( cC100(U_23)
| ~ cC98xcomp(U_20)
| ~ rR1(U_23,U_20) ),
inference(clausify,[status(thm)],[f_6_4]) ).
fof(f_7_1,plain,
! [X] :
( ( cC100(X)
| ? [Y] : ra_Px76(X,Y) )
& ( ! [Y] : ~ ra_Px76(X,Y)
| ~ cC100(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_26] :
( ( cC100(U_26)
| ? [U_25] : ra_Px76(U_26,U_25) )
& ( ! [U_24] : ~ ra_Px76(U_26,U_24)
| ~ cC100(U_26) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_28] :
( cC100(U_28)
| ? [U_25] : ra_Px76(U_28,U_25) )
& ! [U_27] :
( ! [U_24] : ~ ra_Px76(U_27,U_24)
| ~ cC100(U_27) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
( ! [U_28] :
( cC100(U_28)
| ra_Px76(U_28,sK4(U_28)) )
& ! [U_27] :
( ! [U_24] : ~ ra_Px76(U_27,U_24)
| ~ cC100(U_27) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_25,sK4(U_28))],[f_7_3]) ).
cnf(f_7_5,plain,
( ~ ra_Px76(U_27,U_24)
| ~ cC100(U_27) ),
inference(clausify,[status(thm)],[f_7_4]) ).
cnf(f_7_6,plain,
( cC100(U_28)
| ra_Px76(U_28,sK4(U_28)) ),
inference(clausify,[status(thm)],[f_7_4]) ).
fof(f_8_1,plain,
! [X] :
( ( cC100xcomp(X)
| ! [Y0] : ~ ra_Px76(X,Y0) )
& ( ? [Y0] : ra_Px76(X,Y0)
| ~ cC100xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_31] :
( ( cC100xcomp(U_31)
| ! [U_30] : ~ ra_Px76(U_31,U_30) )
& ( ? [U_29] : ra_Px76(U_31,U_29)
| ~ cC100xcomp(U_31) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_33] :
( cC100xcomp(U_33)
| ! [U_30] : ~ ra_Px76(U_33,U_30) )
& ! [U_32] :
( ? [U_29] : ra_Px76(U_32,U_29)
| ~ cC100xcomp(U_32) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_33] :
( cC100xcomp(U_33)
| ! [U_30] : ~ ra_Px76(U_33,U_30) )
& ! [U_32] :
( ra_Px76(U_32,sK5(U_32))
| ~ cC100xcomp(U_32) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_29,sK5(U_32))],[f_8_3]) ).
cnf(f_8_5,plain,
( ra_Px76(U_32,sK5(U_32))
| ~ cC100xcomp(U_32) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_6,plain,
( cC100xcomp(U_33)
| ~ ra_Px76(U_33,U_30) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [X] :
( ( cC102(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC102(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
! [U_36] :
( ( cC102(U_36)
| ! [U_35] :
( ~ cC16xcomp(U_35)
| ~ rR1(U_36,U_35) ) )
& ( ? [U_34] :
( cC16xcomp(U_34)
& rR1(U_36,U_34) )
| ~ cC102(U_36) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_38] :
( cC102(U_38)
| ! [U_35] :
( ~ cC16xcomp(U_35)
| ~ rR1(U_38,U_35) ) )
& ! [U_37] :
( ? [U_34] :
( cC16xcomp(U_34)
& rR1(U_37,U_34) )
| ~ cC102(U_37) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_38] :
( cC102(U_38)
| ! [U_35] :
( ~ cC16xcomp(U_35)
| ~ rR1(U_38,U_35) ) )
& ! [U_37] :
( ( cC16xcomp(sK6(U_37))
& rR1(U_37,sK6(U_37)) )
| ~ cC102(U_37) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_34,sK6(U_37))],[f_9_3]) ).
cnf(f_9_5,plain,
( rR1(U_37,sK6(U_37))
| ~ cC102(U_37) ),
inference(clausify,[status(thm)],[f_9_4]) ).
cnf(f_9_6,plain,
( cC16xcomp(sK6(U_37))
| ~ cC102(U_37) ),
inference(clausify,[status(thm)],[f_9_4]) ).
cnf(f_9_7,plain,
( cC102(U_38)
| ~ cC16xcomp(U_35)
| ~ rR1(U_38,U_35) ),
inference(clausify,[status(thm)],[f_9_4]) ).
fof(f_10_1,plain,
! [X] :
( ( cC104(X)
| ~ cC102(X)
| ~ cC16(X) )
& ( ( cC102(X)
& cC16(X) )
| ~ cC104(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_10_2,plain,
! [U_39] :
( ( cC104(U_39)
| ~ cC102(U_39)
| ~ cC16(U_39) )
& ( ( cC102(U_39)
& cC16(U_39) )
| ~ cC104(U_39) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_41] :
( cC104(U_41)
| ~ cC102(U_41)
| ~ cC16(U_41) )
& ! [U_40] :
( ( cC102(U_40)
& cC16(U_40) )
| ~ cC104(U_40) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( cC16(U_40)
| ~ cC104(U_40) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_5,plain,
( cC102(U_40)
| ~ cC104(U_40) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_6,plain,
( cC104(U_41)
| ~ cC102(U_41)
| ~ cC16(U_41) ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [X] :
( ( cC106(X)
| ! [Y] :
( ~ cC104(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC104(Y)
& rR1(X,Y) )
| ~ cC106(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_11_2,plain,
! [U_44] :
( ( cC106(U_44)
| ! [U_43] :
( ~ cC104(U_43)
| ~ rR1(U_44,U_43) ) )
& ( ? [U_42] :
( cC104(U_42)
& rR1(U_44,U_42) )
| ~ cC106(U_44) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_46] :
( cC106(U_46)
| ! [U_43] :
( ~ cC104(U_43)
| ~ rR1(U_46,U_43) ) )
& ! [U_45] :
( ? [U_42] :
( cC104(U_42)
& rR1(U_45,U_42) )
| ~ cC106(U_45) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
( ! [U_46] :
( cC106(U_46)
| ! [U_43] :
( ~ cC104(U_43)
| ~ rR1(U_46,U_43) ) )
& ! [U_45] :
( ( cC104(sK7(U_45))
& rR1(U_45,sK7(U_45)) )
| ~ cC106(U_45) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_42,sK7(U_45))],[f_11_3]) ).
cnf(f_11_5,plain,
( rR1(U_45,sK7(U_45))
| ~ cC106(U_45) ),
inference(clausify,[status(thm)],[f_11_4]) ).
cnf(f_11_6,plain,
( cC104(sK7(U_45))
| ~ cC106(U_45) ),
inference(clausify,[status(thm)],[f_11_4]) ).
cnf(f_11_7,plain,
( cC106(U_46)
| ~ cC104(U_43)
| ~ rR1(U_46,U_43) ),
inference(clausify,[status(thm)],[f_11_4]) ).
fof(f_12_1,plain,
! [X] :
( ( cC106(X)
| ? [Y] : ra_Px37(X,Y) )
& ( ! [Y] : ~ ra_Px37(X,Y)
| ~ cC106(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_12_2,plain,
! [U_49] :
( ( cC106(U_49)
| ? [U_48] : ra_Px37(U_49,U_48) )
& ( ! [U_47] : ~ ra_Px37(U_49,U_47)
| ~ cC106(U_49) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_51] :
( cC106(U_51)
| ? [U_48] : ra_Px37(U_51,U_48) )
& ! [U_50] :
( ! [U_47] : ~ ra_Px37(U_50,U_47)
| ~ cC106(U_50) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_51] :
( cC106(U_51)
| ra_Px37(U_51,sK8(U_51)) )
& ! [U_50] :
( ! [U_47] : ~ ra_Px37(U_50,U_47)
| ~ cC106(U_50) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_48,sK8(U_51))],[f_12_3]) ).
cnf(f_12_5,plain,
( ~ ra_Px37(U_50,U_47)
| ~ cC106(U_50) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_6,plain,
( cC106(U_51)
| ra_Px37(U_51,sK8(U_51)) ),
inference(clausify,[status(thm)],[f_12_4]) ).
fof(f_13_1,plain,
! [X] :
( ( cC106xcomp(X)
| ! [Y0] : ~ ra_Px37(X,Y0) )
& ( ? [Y0] : ra_Px37(X,Y0)
| ~ cC106xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_13_2,plain,
! [U_54] :
( ( cC106xcomp(U_54)
| ! [U_53] : ~ ra_Px37(U_54,U_53) )
& ( ? [U_52] : ra_Px37(U_54,U_52)
| ~ cC106xcomp(U_54) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_56] :
( cC106xcomp(U_56)
| ! [U_53] : ~ ra_Px37(U_56,U_53) )
& ! [U_55] :
( ? [U_52] : ra_Px37(U_55,U_52)
| ~ cC106xcomp(U_55) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
fof(f_13_4,plain,
( ! [U_56] :
( cC106xcomp(U_56)
| ! [U_53] : ~ ra_Px37(U_56,U_53) )
& ! [U_55] :
( ra_Px37(U_55,sK9(U_55))
| ~ cC106xcomp(U_55) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_52,sK9(U_55))],[f_13_3]) ).
cnf(f_13_5,plain,
( ra_Px37(U_55,sK9(U_55))
| ~ cC106xcomp(U_55) ),
inference(clausify,[status(thm)],[f_13_4]) ).
cnf(f_13_6,plain,
( cC106xcomp(U_56)
| ~ ra_Px37(U_56,U_53) ),
inference(clausify,[status(thm)],[f_13_4]) ).
fof(f_14_1,plain,
! [X] :
( ( cC108(X)
| ~ cC106xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC106xcomp(X)
& cC16xcomp(X) )
| ~ cC108(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_14_2,plain,
! [U_57] :
( ( cC108(U_57)
| ~ cC106xcomp(U_57)
| ~ cC16xcomp(U_57) )
& ( ( cC106xcomp(U_57)
& cC16xcomp(U_57) )
| ~ cC108(U_57) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_59] :
( cC108(U_59)
| ~ cC106xcomp(U_59)
| ~ cC16xcomp(U_59) )
& ! [U_58] :
( ( cC106xcomp(U_58)
& cC16xcomp(U_58) )
| ~ cC108(U_58) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
cnf(f_14_4,plain,
( cC16xcomp(U_58)
| ~ cC108(U_58) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_5,plain,
( cC106xcomp(U_58)
| ~ cC108(U_58) ),
inference(clausify,[status(thm)],[f_14_3]) ).
cnf(f_14_6,plain,
( cC108(U_59)
| ~ cC106xcomp(U_59)
| ~ cC16xcomp(U_59) ),
inference(clausify,[status(thm)],[f_14_3]) ).
fof(f_15_1,plain,
! [X] :
( ( cC108(X)
| ! [Y0] : ~ ra_Px45(X,Y0) )
& ( ? [Y0] : ra_Px45(X,Y0)
| ~ cC108(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_15_2,plain,
! [U_62] :
( ( cC108(U_62)
| ! [U_61] : ~ ra_Px45(U_62,U_61) )
& ( ? [U_60] : ra_Px45(U_62,U_60)
| ~ cC108(U_62) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_64] :
( cC108(U_64)
| ! [U_61] : ~ ra_Px45(U_64,U_61) )
& ! [U_63] :
( ? [U_60] : ra_Px45(U_63,U_60)
| ~ cC108(U_63) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_64] :
( cC108(U_64)
| ! [U_61] : ~ ra_Px45(U_64,U_61) )
& ! [U_63] :
( ra_Px45(U_63,sK10(U_63))
| ~ cC108(U_63) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_60,sK10(U_63))],[f_15_3]) ).
cnf(f_15_5,plain,
( ra_Px45(U_63,sK10(U_63))
| ~ cC108(U_63) ),
inference(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_6,plain,
( cC108(U_64)
| ~ ra_Px45(U_64,U_61) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_16_1,plain,
! [X] :
( ( cC108xcomp(X)
| ? [Y] : ra_Px45(X,Y) )
& ( ! [Y] : ~ ra_Px45(X,Y)
| ~ cC108xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
fof(f_16_2,plain,
! [U_67] :
( ( cC108xcomp(U_67)
| ? [U_66] : ra_Px45(U_67,U_66) )
& ( ! [U_65] : ~ ra_Px45(U_67,U_65)
| ~ cC108xcomp(U_67) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_69] :
( cC108xcomp(U_69)
| ? [U_66] : ra_Px45(U_69,U_66) )
& ! [U_68] :
( ! [U_65] : ~ ra_Px45(U_68,U_65)
| ~ cC108xcomp(U_68) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
( ! [U_69] :
( cC108xcomp(U_69)
| ra_Px45(U_69,sK11(U_69)) )
& ! [U_68] :
( ! [U_65] : ~ ra_Px45(U_68,U_65)
| ~ cC108xcomp(U_68) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_66,sK11(U_69))],[f_16_3]) ).
cnf(f_16_5,plain,
( ~ ra_Px45(U_68,U_65)
| ~ cC108xcomp(U_68) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_6,plain,
( cC108xcomp(U_69)
| ra_Px45(U_69,sK11(U_69)) ),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_17_1,plain,
! [X] :
( ( cC110(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC110(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_16]) ).
fof(f_17_2,plain,
! [U_72] :
( ( cC110(U_72)
| ! [U_71] :
( ~ cC16xcomp(U_71)
| ~ rR1(U_72,U_71) ) )
& ( ? [U_70] :
( cC16xcomp(U_70)
& rR1(U_72,U_70) )
| ~ cC110(U_72) ) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_74] :
( cC110(U_74)
| ! [U_71] :
( ~ cC16xcomp(U_71)
| ~ rR1(U_74,U_71) ) )
& ! [U_73] :
( ? [U_70] :
( cC16xcomp(U_70)
& rR1(U_73,U_70) )
| ~ cC110(U_73) ) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
( ! [U_74] :
( cC110(U_74)
| ! [U_71] :
( ~ cC16xcomp(U_71)
| ~ rR1(U_74,U_71) ) )
& ! [U_73] :
( ( cC16xcomp(sK12(U_73))
& rR1(U_73,sK12(U_73)) )
| ~ cC110(U_73) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_70,sK12(U_73))],[f_17_3]) ).
cnf(f_17_5,plain,
( rR1(U_73,sK12(U_73))
| ~ cC110(U_73) ),
inference(clausify,[status(thm)],[f_17_4]) ).
cnf(f_17_6,plain,
( cC16xcomp(sK12(U_73))
| ~ cC110(U_73) ),
inference(clausify,[status(thm)],[f_17_4]) ).
cnf(f_17_7,plain,
( cC110(U_74)
| ~ cC16xcomp(U_71)
| ~ rR1(U_74,U_71) ),
inference(clausify,[status(thm)],[f_17_4]) ).
fof(f_18_1,plain,
! [X] :
( ( cC112(X)
| ~ cC110(X)
| ~ cC16(X) )
& ( ( cC110(X)
& cC16(X) )
| ~ cC112(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
fof(f_18_2,plain,
! [U_75] :
( ( cC112(U_75)
| ~ cC110(U_75)
| ~ cC16(U_75) )
& ( ( cC110(U_75)
& cC16(U_75) )
| ~ cC112(U_75) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
( ! [U_77] :
( cC112(U_77)
| ~ cC110(U_77)
| ~ cC16(U_77) )
& ! [U_76] :
( ( cC110(U_76)
& cC16(U_76) )
| ~ cC112(U_76) ) ),
inference(miniscope,[status(thm)],[f_18_2]) ).
cnf(f_18_4,plain,
( cC16(U_76)
| ~ cC112(U_76) ),
inference(clausify,[status(thm)],[f_18_3]) ).
cnf(f_18_5,plain,
( cC110(U_76)
| ~ cC112(U_76) ),
inference(clausify,[status(thm)],[f_18_3]) ).
cnf(f_18_6,plain,
( cC112(U_77)
| ~ cC110(U_77)
| ~ cC16(U_77) ),
inference(clausify,[status(thm)],[f_18_3]) ).
fof(f_19_1,plain,
! [X] :
( ( cC114(X)
| ! [Y] :
( ~ cC112(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC112(Y)
& rR1(X,Y) )
| ~ cC114(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_18]) ).
fof(f_19_2,plain,
! [U_80] :
( ( cC114(U_80)
| ! [U_79] :
( ~ cC112(U_79)
| ~ rR1(U_80,U_79) ) )
& ( ? [U_78] :
( cC112(U_78)
& rR1(U_80,U_78) )
| ~ cC114(U_80) ) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
( ! [U_82] :
( cC114(U_82)
| ! [U_79] :
( ~ cC112(U_79)
| ~ rR1(U_82,U_79) ) )
& ! [U_81] :
( ? [U_78] :
( cC112(U_78)
& rR1(U_81,U_78) )
| ~ cC114(U_81) ) ),
inference(miniscope,[status(thm)],[f_19_2]) ).
fof(f_19_4,plain,
( ! [U_82] :
( cC114(U_82)
| ! [U_79] :
( ~ cC112(U_79)
| ~ rR1(U_82,U_79) ) )
& ! [U_81] :
( ( cC112(sK13(U_81))
& rR1(U_81,sK13(U_81)) )
| ~ cC114(U_81) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_78,sK13(U_81))],[f_19_3]) ).
cnf(f_19_5,plain,
( rR1(U_81,sK13(U_81))
| ~ cC114(U_81) ),
inference(clausify,[status(thm)],[f_19_4]) ).
cnf(f_19_6,plain,
( cC112(sK13(U_81))
| ~ cC114(U_81) ),
inference(clausify,[status(thm)],[f_19_4]) ).
cnf(f_19_7,plain,
( cC114(U_82)
| ~ cC112(U_79)
| ~ rR1(U_82,U_79) ),
inference(clausify,[status(thm)],[f_19_4]) ).
fof(f_20_1,plain,
! [X] :
( ( cC114(X)
| ? [Y] : ra_Px40(X,Y) )
& ( ! [Y] : ~ ra_Px40(X,Y)
| ~ cC114(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_19]) ).
fof(f_20_2,plain,
! [U_85] :
( ( cC114(U_85)
| ? [U_84] : ra_Px40(U_85,U_84) )
& ( ! [U_83] : ~ ra_Px40(U_85,U_83)
| ~ cC114(U_85) ) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
( ! [U_87] :
( cC114(U_87)
| ? [U_84] : ra_Px40(U_87,U_84) )
& ! [U_86] :
( ! [U_83] : ~ ra_Px40(U_86,U_83)
| ~ cC114(U_86) ) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
fof(f_20_4,plain,
( ! [U_87] :
( cC114(U_87)
| ra_Px40(U_87,sK14(U_87)) )
& ! [U_86] :
( ! [U_83] : ~ ra_Px40(U_86,U_83)
| ~ cC114(U_86) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_84,sK14(U_87))],[f_20_3]) ).
cnf(f_20_5,plain,
( ~ ra_Px40(U_86,U_83)
| ~ cC114(U_86) ),
inference(clausify,[status(thm)],[f_20_4]) ).
cnf(f_20_6,plain,
( cC114(U_87)
| ra_Px40(U_87,sK14(U_87)) ),
inference(clausify,[status(thm)],[f_20_4]) ).
fof(f_21_1,plain,
! [X] :
( ( cC114xcomp(X)
| ! [Y0] : ~ ra_Px40(X,Y0) )
& ( ? [Y0] : ra_Px40(X,Y0)
| ~ cC114xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_20]) ).
fof(f_21_2,plain,
! [U_90] :
( ( cC114xcomp(U_90)
| ! [U_89] : ~ ra_Px40(U_90,U_89) )
& ( ? [U_88] : ra_Px40(U_90,U_88)
| ~ cC114xcomp(U_90) ) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
( ! [U_92] :
( cC114xcomp(U_92)
| ! [U_89] : ~ ra_Px40(U_92,U_89) )
& ! [U_91] :
( ? [U_88] : ra_Px40(U_91,U_88)
| ~ cC114xcomp(U_91) ) ),
inference(miniscope,[status(thm)],[f_21_2]) ).
fof(f_21_4,plain,
( ! [U_92] :
( cC114xcomp(U_92)
| ! [U_89] : ~ ra_Px40(U_92,U_89) )
& ! [U_91] :
( ra_Px40(U_91,sK15(U_91))
| ~ cC114xcomp(U_91) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_88,sK15(U_91))],[f_21_3]) ).
cnf(f_21_5,plain,
( ra_Px40(U_91,sK15(U_91))
| ~ cC114xcomp(U_91) ),
inference(clausify,[status(thm)],[f_21_4]) ).
cnf(f_21_6,plain,
( cC114xcomp(U_92)
| ~ ra_Px40(U_92,U_89) ),
inference(clausify,[status(thm)],[f_21_4]) ).
fof(f_22_1,plain,
! [X] :
( ( cC116(X)
| ~ cC114xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC114xcomp(X)
& cC16xcomp(X) )
| ~ cC116(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_21]) ).
fof(f_22_2,plain,
! [U_93] :
( ( cC116(U_93)
| ~ cC114xcomp(U_93)
| ~ cC16xcomp(U_93) )
& ( ( cC114xcomp(U_93)
& cC16xcomp(U_93) )
| ~ cC116(U_93) ) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
( ! [U_95] :
( cC116(U_95)
| ~ cC114xcomp(U_95)
| ~ cC16xcomp(U_95) )
& ! [U_94] :
( ( cC114xcomp(U_94)
& cC16xcomp(U_94) )
| ~ cC116(U_94) ) ),
inference(miniscope,[status(thm)],[f_22_2]) ).
cnf(f_22_4,plain,
( cC16xcomp(U_94)
| ~ cC116(U_94) ),
inference(clausify,[status(thm)],[f_22_3]) ).
cnf(f_22_5,plain,
( cC114xcomp(U_94)
| ~ cC116(U_94) ),
inference(clausify,[status(thm)],[f_22_3]) ).
cnf(f_22_6,plain,
( cC116(U_95)
| ~ cC114xcomp(U_95)
| ~ cC16xcomp(U_95) ),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,plain,
! [X] :
( ( cC118(X)
| ! [Y] :
( ~ cC116(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC116(Y)
& rR1(X,Y) )
| ~ cC118(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_22]) ).
fof(f_23_2,plain,
! [U_98] :
( ( cC118(U_98)
| ! [U_97] :
( ~ cC116(U_97)
| ~ rR1(U_98,U_97) ) )
& ( ? [U_96] :
( cC116(U_96)
& rR1(U_98,U_96) )
| ~ cC118(U_98) ) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
( ! [U_100] :
( cC118(U_100)
| ! [U_97] :
( ~ cC116(U_97)
| ~ rR1(U_100,U_97) ) )
& ! [U_99] :
( ? [U_96] :
( cC116(U_96)
& rR1(U_99,U_96) )
| ~ cC118(U_99) ) ),
inference(miniscope,[status(thm)],[f_23_2]) ).
fof(f_23_4,plain,
( ! [U_100] :
( cC118(U_100)
| ! [U_97] :
( ~ cC116(U_97)
| ~ rR1(U_100,U_97) ) )
& ! [U_99] :
( ( cC116(sK16(U_99))
& rR1(U_99,sK16(U_99)) )
| ~ cC118(U_99) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_96,sK16(U_99))],[f_23_3]) ).
cnf(f_23_5,plain,
( rR1(U_99,sK16(U_99))
| ~ cC118(U_99) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_6,plain,
( cC116(sK16(U_99))
| ~ cC118(U_99) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_7,plain,
( cC118(U_100)
| ~ cC116(U_97)
| ~ rR1(U_100,U_97) ),
inference(clausify,[status(thm)],[f_23_4]) ).
fof(f_24_1,plain,
! [X] :
( ( cC12(X)
| ? [Y] : ra_Px4(X,Y) )
& ( ! [Y] : ~ ra_Px4(X,Y)
| ~ cC12(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_23]) ).
fof(f_24_2,plain,
! [U_103] :
( ( cC12(U_103)
| ? [U_102] : ra_Px4(U_103,U_102) )
& ( ! [U_101] : ~ ra_Px4(U_103,U_101)
| ~ cC12(U_103) ) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
( ! [U_105] :
( cC12(U_105)
| ? [U_102] : ra_Px4(U_105,U_102) )
& ! [U_104] :
( ! [U_101] : ~ ra_Px4(U_104,U_101)
| ~ cC12(U_104) ) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
fof(f_24_4,plain,
( ! [U_105] :
( cC12(U_105)
| ra_Px4(U_105,sK17(U_105)) )
& ! [U_104] :
( ! [U_101] : ~ ra_Px4(U_104,U_101)
| ~ cC12(U_104) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_102,sK17(U_105))],[f_24_3]) ).
cnf(f_24_5,plain,
( ~ ra_Px4(U_104,U_101)
| ~ cC12(U_104) ),
inference(clausify,[status(thm)],[f_24_4]) ).
cnf(f_24_6,plain,
( cC12(U_105)
| ra_Px4(U_105,sK17(U_105)) ),
inference(clausify,[status(thm)],[f_24_4]) ).
fof(f_25_1,plain,
! [X] :
( ( cC12(X)
| ! [Y] :
( ~ cC10(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC10(Y)
& rR1(X,Y) )
| ~ cC12(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_24]) ).
fof(f_25_2,plain,
! [U_108] :
( ( cC12(U_108)
| ! [U_107] :
( ~ cC10(U_107)
| ~ rR1(U_108,U_107) ) )
& ( ? [U_106] :
( cC10(U_106)
& rR1(U_108,U_106) )
| ~ cC12(U_108) ) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
( ! [U_110] :
( cC12(U_110)
| ! [U_107] :
( ~ cC10(U_107)
| ~ rR1(U_110,U_107) ) )
& ! [U_109] :
( ? [U_106] :
( cC10(U_106)
& rR1(U_109,U_106) )
| ~ cC12(U_109) ) ),
inference(miniscope,[status(thm)],[f_25_2]) ).
fof(f_25_4,plain,
( ! [U_110] :
( cC12(U_110)
| ! [U_107] :
( ~ cC10(U_107)
| ~ rR1(U_110,U_107) ) )
& ! [U_109] :
( ( cC10(sK18(U_109))
& rR1(U_109,sK18(U_109)) )
| ~ cC12(U_109) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_106,sK18(U_109))],[f_25_3]) ).
cnf(f_25_5,plain,
( rR1(U_109,sK18(U_109))
| ~ cC12(U_109) ),
inference(clausify,[status(thm)],[f_25_4]) ).
cnf(f_25_6,plain,
( cC10(sK18(U_109))
| ~ cC12(U_109) ),
inference(clausify,[status(thm)],[f_25_4]) ).
cnf(f_25_7,plain,
( cC12(U_110)
| ~ cC10(U_107)
| ~ rR1(U_110,U_107) ),
inference(clausify,[status(thm)],[f_25_4]) ).
fof(f_26_1,plain,
! [X] :
( ( cC12xcomp(X)
| ! [Y0] : ~ ra_Px4(X,Y0) )
& ( ? [Y0] : ra_Px4(X,Y0)
| ~ cC12xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_25]) ).
fof(f_26_2,plain,
! [U_113] :
( ( cC12xcomp(U_113)
| ! [U_112] : ~ ra_Px4(U_113,U_112) )
& ( ? [U_111] : ra_Px4(U_113,U_111)
| ~ cC12xcomp(U_113) ) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( ! [U_115] :
( cC12xcomp(U_115)
| ! [U_112] : ~ ra_Px4(U_115,U_112) )
& ! [U_114] :
( ? [U_111] : ra_Px4(U_114,U_111)
| ~ cC12xcomp(U_114) ) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
fof(f_26_4,plain,
( ! [U_115] :
( cC12xcomp(U_115)
| ! [U_112] : ~ ra_Px4(U_115,U_112) )
& ! [U_114] :
( ra_Px4(U_114,sK19(U_114))
| ~ cC12xcomp(U_114) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_111,sK19(U_114))],[f_26_3]) ).
cnf(f_26_5,plain,
( ra_Px4(U_114,sK19(U_114))
| ~ cC12xcomp(U_114) ),
inference(clausify,[status(thm)],[f_26_4]) ).
cnf(f_26_6,plain,
( cC12xcomp(U_115)
| ~ ra_Px4(U_115,U_112) ),
inference(clausify,[status(thm)],[f_26_4]) ).
fof(f_27_1,plain,
! [X] :
( ( cC120(X)
| ! [Y] :
( ~ cC118(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC118(Y)
& rR1(X,Y) )
| ~ cC120(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_26]) ).
fof(f_27_2,plain,
! [U_118] :
( ( cC120(U_118)
| ! [U_117] :
( ~ cC118(U_117)
| ~ rR1(U_118,U_117) ) )
& ( ? [U_116] :
( cC118(U_116)
& rR1(U_118,U_116) )
| ~ cC120(U_118) ) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
( ! [U_120] :
( cC120(U_120)
| ! [U_117] :
( ~ cC118(U_117)
| ~ rR1(U_120,U_117) ) )
& ! [U_119] :
( ? [U_116] :
( cC118(U_116)
& rR1(U_119,U_116) )
| ~ cC120(U_119) ) ),
inference(miniscope,[status(thm)],[f_27_2]) ).
fof(f_27_4,plain,
( ! [U_120] :
( cC120(U_120)
| ! [U_117] :
( ~ cC118(U_117)
| ~ rR1(U_120,U_117) ) )
& ! [U_119] :
( ( cC118(sK20(U_119))
& rR1(U_119,sK20(U_119)) )
| ~ cC120(U_119) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_116,sK20(U_119))],[f_27_3]) ).
cnf(f_27_5,plain,
( rR1(U_119,sK20(U_119))
| ~ cC120(U_119) ),
inference(clausify,[status(thm)],[f_27_4]) ).
cnf(f_27_6,plain,
( cC118(sK20(U_119))
| ~ cC120(U_119) ),
inference(clausify,[status(thm)],[f_27_4]) ).
cnf(f_27_7,plain,
( cC120(U_120)
| ~ cC118(U_117)
| ~ rR1(U_120,U_117) ),
inference(clausify,[status(thm)],[f_27_4]) ).
fof(f_28_1,plain,
! [X] :
( ( cC122(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC122(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_27]) ).
fof(f_28_2,plain,
! [U_123] :
( ( cC122(U_123)
| ! [U_122] :
( ~ cC16xcomp(U_122)
| ~ rR1(U_123,U_122) ) )
& ( ? [U_121] :
( cC16xcomp(U_121)
& rR1(U_123,U_121) )
| ~ cC122(U_123) ) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
( ! [U_125] :
( cC122(U_125)
| ! [U_122] :
( ~ cC16xcomp(U_122)
| ~ rR1(U_125,U_122) ) )
& ! [U_124] :
( ? [U_121] :
( cC16xcomp(U_121)
& rR1(U_124,U_121) )
| ~ cC122(U_124) ) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
fof(f_28_4,plain,
( ! [U_125] :
( cC122(U_125)
| ! [U_122] :
( ~ cC16xcomp(U_122)
| ~ rR1(U_125,U_122) ) )
& ! [U_124] :
( ( cC16xcomp(sK21(U_124))
& rR1(U_124,sK21(U_124)) )
| ~ cC122(U_124) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_121,sK21(U_124))],[f_28_3]) ).
cnf(f_28_5,plain,
( rR1(U_124,sK21(U_124))
| ~ cC122(U_124) ),
inference(clausify,[status(thm)],[f_28_4]) ).
cnf(f_28_6,plain,
( cC16xcomp(sK21(U_124))
| ~ cC122(U_124) ),
inference(clausify,[status(thm)],[f_28_4]) ).
cnf(f_28_7,plain,
( cC122(U_125)
| ~ cC16xcomp(U_122)
| ~ rR1(U_125,U_122) ),
inference(clausify,[status(thm)],[f_28_4]) ).
fof(f_29_1,plain,
! [X] :
( ( cC124(X)
| ~ cC122(X)
| ~ cC16(X) )
& ( ( cC122(X)
& cC16(X) )
| ~ cC124(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_28]) ).
fof(f_29_2,plain,
! [U_126] :
( ( cC124(U_126)
| ~ cC122(U_126)
| ~ cC16(U_126) )
& ( ( cC122(U_126)
& cC16(U_126) )
| ~ cC124(U_126) ) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_128] :
( cC124(U_128)
| ~ cC122(U_128)
| ~ cC16(U_128) )
& ! [U_127] :
( ( cC122(U_127)
& cC16(U_127) )
| ~ cC124(U_127) ) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
cnf(f_29_4,plain,
( cC16(U_127)
| ~ cC124(U_127) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_29_5,plain,
( cC122(U_127)
| ~ cC124(U_127) ),
inference(clausify,[status(thm)],[f_29_3]) ).
cnf(f_29_6,plain,
( cC124(U_128)
| ~ cC122(U_128)
| ~ cC16(U_128) ),
inference(clausify,[status(thm)],[f_29_3]) ).
fof(f_30_1,plain,
! [X] :
( ( cC126(X)
| ? [Y] : ra_Px43(X,Y) )
& ( ! [Y] : ~ ra_Px43(X,Y)
| ~ cC126(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_29]) ).
fof(f_30_2,plain,
! [U_131] :
( ( cC126(U_131)
| ? [U_130] : ra_Px43(U_131,U_130) )
& ( ! [U_129] : ~ ra_Px43(U_131,U_129)
| ~ cC126(U_131) ) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_133] :
( cC126(U_133)
| ? [U_130] : ra_Px43(U_133,U_130) )
& ! [U_132] :
( ! [U_129] : ~ ra_Px43(U_132,U_129)
| ~ cC126(U_132) ) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
fof(f_30_4,plain,
( ! [U_133] :
( cC126(U_133)
| ra_Px43(U_133,sK22(U_133)) )
& ! [U_132] :
( ! [U_129] : ~ ra_Px43(U_132,U_129)
| ~ cC126(U_132) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_130,sK22(U_133))],[f_30_3]) ).
cnf(f_30_5,plain,
( ~ ra_Px43(U_132,U_129)
| ~ cC126(U_132) ),
inference(clausify,[status(thm)],[f_30_4]) ).
cnf(f_30_6,plain,
( cC126(U_133)
| ra_Px43(U_133,sK22(U_133)) ),
inference(clausify,[status(thm)],[f_30_4]) ).
fof(f_31_1,plain,
! [X] :
( ( cC126(X)
| ! [Y] :
( ~ cC124(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC124(Y)
& rR1(X,Y) )
| ~ cC126(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_30]) ).
fof(f_31_2,plain,
! [U_136] :
( ( cC126(U_136)
| ! [U_135] :
( ~ cC124(U_135)
| ~ rR1(U_136,U_135) ) )
& ( ? [U_134] :
( cC124(U_134)
& rR1(U_136,U_134) )
| ~ cC126(U_136) ) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
( ! [U_138] :
( cC126(U_138)
| ! [U_135] :
( ~ cC124(U_135)
| ~ rR1(U_138,U_135) ) )
& ! [U_137] :
( ? [U_134] :
( cC124(U_134)
& rR1(U_137,U_134) )
| ~ cC126(U_137) ) ),
inference(miniscope,[status(thm)],[f_31_2]) ).
fof(f_31_4,plain,
( ! [U_138] :
( cC126(U_138)
| ! [U_135] :
( ~ cC124(U_135)
| ~ rR1(U_138,U_135) ) )
& ! [U_137] :
( ( cC124(sK23(U_137))
& rR1(U_137,sK23(U_137)) )
| ~ cC126(U_137) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_134,sK23(U_137))],[f_31_3]) ).
cnf(f_31_5,plain,
( rR1(U_137,sK23(U_137))
| ~ cC126(U_137) ),
inference(clausify,[status(thm)],[f_31_4]) ).
cnf(f_31_6,plain,
( cC124(sK23(U_137))
| ~ cC126(U_137) ),
inference(clausify,[status(thm)],[f_31_4]) ).
cnf(f_31_7,plain,
( cC126(U_138)
| ~ cC124(U_135)
| ~ rR1(U_138,U_135) ),
inference(clausify,[status(thm)],[f_31_4]) ).
fof(f_32_1,plain,
! [X] :
( ( cC126xcomp(X)
| ! [Y0] : ~ ra_Px43(X,Y0) )
& ( ? [Y0] : ra_Px43(X,Y0)
| ~ cC126xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_31]) ).
fof(f_32_2,plain,
! [U_141] :
( ( cC126xcomp(U_141)
| ! [U_140] : ~ ra_Px43(U_141,U_140) )
& ( ? [U_139] : ra_Px43(U_141,U_139)
| ~ cC126xcomp(U_141) ) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
( ! [U_143] :
( cC126xcomp(U_143)
| ! [U_140] : ~ ra_Px43(U_143,U_140) )
& ! [U_142] :
( ? [U_139] : ra_Px43(U_142,U_139)
| ~ cC126xcomp(U_142) ) ),
inference(miniscope,[status(thm)],[f_32_2]) ).
fof(f_32_4,plain,
( ! [U_143] :
( cC126xcomp(U_143)
| ! [U_140] : ~ ra_Px43(U_143,U_140) )
& ! [U_142] :
( ra_Px43(U_142,sK24(U_142))
| ~ cC126xcomp(U_142) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_139,sK24(U_142))],[f_32_3]) ).
cnf(f_32_5,plain,
( ra_Px43(U_142,sK24(U_142))
| ~ cC126xcomp(U_142) ),
inference(clausify,[status(thm)],[f_32_4]) ).
cnf(f_32_6,plain,
( cC126xcomp(U_143)
| ~ ra_Px43(U_143,U_140) ),
inference(clausify,[status(thm)],[f_32_4]) ).
fof(f_33_1,plain,
! [X] :
( ( cC128(X)
| ~ cC126xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC126xcomp(X)
& cC16xcomp(X) )
| ~ cC128(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_32]) ).
fof(f_33_2,plain,
! [U_144] :
( ( cC128(U_144)
| ~ cC126xcomp(U_144)
| ~ cC16xcomp(U_144) )
& ( ( cC126xcomp(U_144)
& cC16xcomp(U_144) )
| ~ cC128(U_144) ) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
( ! [U_146] :
( cC128(U_146)
| ~ cC126xcomp(U_146)
| ~ cC16xcomp(U_146) )
& ! [U_145] :
( ( cC126xcomp(U_145)
& cC16xcomp(U_145) )
| ~ cC128(U_145) ) ),
inference(miniscope,[status(thm)],[f_33_2]) ).
cnf(f_33_4,plain,
( cC16xcomp(U_145)
| ~ cC128(U_145) ),
inference(clausify,[status(thm)],[f_33_3]) ).
cnf(f_33_5,plain,
( cC126xcomp(U_145)
| ~ cC128(U_145) ),
inference(clausify,[status(thm)],[f_33_3]) ).
cnf(f_33_6,plain,
( cC128(U_146)
| ~ cC126xcomp(U_146)
| ~ cC16xcomp(U_146) ),
inference(clausify,[status(thm)],[f_33_3]) ).
fof(f_34_1,plain,
! [X] :
( ( cC130(X)
| ! [Y] :
( ~ cC128(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC128(Y)
& rR1(X,Y) )
| ~ cC130(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_33]) ).
fof(f_34_2,plain,
! [U_149] :
( ( cC130(U_149)
| ! [U_148] :
( ~ cC128(U_148)
| ~ rR1(U_149,U_148) ) )
& ( ? [U_147] :
( cC128(U_147)
& rR1(U_149,U_147) )
| ~ cC130(U_149) ) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
( ! [U_151] :
( cC130(U_151)
| ! [U_148] :
( ~ cC128(U_148)
| ~ rR1(U_151,U_148) ) )
& ! [U_150] :
( ? [U_147] :
( cC128(U_147)
& rR1(U_150,U_147) )
| ~ cC130(U_150) ) ),
inference(miniscope,[status(thm)],[f_34_2]) ).
fof(f_34_4,plain,
( ! [U_151] :
( cC130(U_151)
| ! [U_148] :
( ~ cC128(U_148)
| ~ rR1(U_151,U_148) ) )
& ! [U_150] :
( ( cC128(sK25(U_150))
& rR1(U_150,sK25(U_150)) )
| ~ cC130(U_150) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_147,sK25(U_150))],[f_34_3]) ).
cnf(f_34_5,plain,
( rR1(U_150,sK25(U_150))
| ~ cC130(U_150) ),
inference(clausify,[status(thm)],[f_34_4]) ).
cnf(f_34_6,plain,
( cC128(sK25(U_150))
| ~ cC130(U_150) ),
inference(clausify,[status(thm)],[f_34_4]) ).
cnf(f_34_7,plain,
( cC130(U_151)
| ~ cC128(U_148)
| ~ rR1(U_151,U_148) ),
inference(clausify,[status(thm)],[f_34_4]) ).
fof(f_35_1,plain,
! [X] :
( ( cC130(X)
| ! [Y0] : ~ ra_Px44(X,Y0) )
& ( ? [Y0] : ra_Px44(X,Y0)
| ~ cC130(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_34]) ).
fof(f_35_2,plain,
! [U_154] :
( ( cC130(U_154)
| ! [U_153] : ~ ra_Px44(U_154,U_153) )
& ( ? [U_152] : ra_Px44(U_154,U_152)
| ~ cC130(U_154) ) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
( ! [U_156] :
( cC130(U_156)
| ! [U_153] : ~ ra_Px44(U_156,U_153) )
& ! [U_155] :
( ? [U_152] : ra_Px44(U_155,U_152)
| ~ cC130(U_155) ) ),
inference(miniscope,[status(thm)],[f_35_2]) ).
fof(f_35_4,plain,
( ! [U_156] :
( cC130(U_156)
| ! [U_153] : ~ ra_Px44(U_156,U_153) )
& ! [U_155] :
( ra_Px44(U_155,sK26(U_155))
| ~ cC130(U_155) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_152,sK26(U_155))],[f_35_3]) ).
cnf(f_35_5,plain,
( ra_Px44(U_155,sK26(U_155))
| ~ cC130(U_155) ),
inference(clausify,[status(thm)],[f_35_4]) ).
cnf(f_35_6,plain,
( cC130(U_156)
| ~ ra_Px44(U_156,U_153) ),
inference(clausify,[status(thm)],[f_35_4]) ).
fof(f_36_1,plain,
! [X] :
( ( cC130xcomp(X)
| ? [Y] : ra_Px44(X,Y) )
& ( ! [Y] : ~ ra_Px44(X,Y)
| ~ cC130xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_35]) ).
fof(f_36_2,plain,
! [U_159] :
( ( cC130xcomp(U_159)
| ? [U_158] : ra_Px44(U_159,U_158) )
& ( ! [U_157] : ~ ra_Px44(U_159,U_157)
| ~ cC130xcomp(U_159) ) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
( ! [U_161] :
( cC130xcomp(U_161)
| ? [U_158] : ra_Px44(U_161,U_158) )
& ! [U_160] :
( ! [U_157] : ~ ra_Px44(U_160,U_157)
| ~ cC130xcomp(U_160) ) ),
inference(miniscope,[status(thm)],[f_36_2]) ).
fof(f_36_4,plain,
( ! [U_161] :
( cC130xcomp(U_161)
| ra_Px44(U_161,sK27(U_161)) )
& ! [U_160] :
( ! [U_157] : ~ ra_Px44(U_160,U_157)
| ~ cC130xcomp(U_160) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_158,sK27(U_161))],[f_36_3]) ).
cnf(f_36_5,plain,
( ~ ra_Px44(U_160,U_157)
| ~ cC130xcomp(U_160) ),
inference(clausify,[status(thm)],[f_36_4]) ).
cnf(f_36_6,plain,
( cC130xcomp(U_161)
| ra_Px44(U_161,sK27(U_161)) ),
inference(clausify,[status(thm)],[f_36_4]) ).
fof(f_37_1,plain,
! [X] :
( ( cC132(X)
| ~ cC130xcomp(X)
| ~ cC120(X) )
& ( ( cC130xcomp(X)
& cC120(X) )
| ~ cC132(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_36]) ).
fof(f_37_2,plain,
! [U_162] :
( ( cC132(U_162)
| ~ cC130xcomp(U_162)
| ~ cC120(U_162) )
& ( ( cC130xcomp(U_162)
& cC120(U_162) )
| ~ cC132(U_162) ) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
( ! [U_164] :
( cC132(U_164)
| ~ cC130xcomp(U_164)
| ~ cC120(U_164) )
& ! [U_163] :
( ( cC130xcomp(U_163)
& cC120(U_163) )
| ~ cC132(U_163) ) ),
inference(miniscope,[status(thm)],[f_37_2]) ).
cnf(f_37_4,plain,
( cC120(U_163)
| ~ cC132(U_163) ),
inference(clausify,[status(thm)],[f_37_3]) ).
cnf(f_37_5,plain,
( cC130xcomp(U_163)
| ~ cC132(U_163) ),
inference(clausify,[status(thm)],[f_37_3]) ).
cnf(f_37_6,plain,
( cC132(U_164)
| ~ cC130xcomp(U_164)
| ~ cC120(U_164) ),
inference(clausify,[status(thm)],[f_37_3]) ).
fof(f_38_1,plain,
! [X] :
( ( cC132(X)
| ? [Y] : ra_Px46(X,Y) )
& ( ! [Y] : ~ ra_Px46(X,Y)
| ~ cC132(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_37]) ).
fof(f_38_2,plain,
! [U_167] :
( ( cC132(U_167)
| ? [U_166] : ra_Px46(U_167,U_166) )
& ( ! [U_165] : ~ ra_Px46(U_167,U_165)
| ~ cC132(U_167) ) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
( ! [U_169] :
( cC132(U_169)
| ? [U_166] : ra_Px46(U_169,U_166) )
& ! [U_168] :
( ! [U_165] : ~ ra_Px46(U_168,U_165)
| ~ cC132(U_168) ) ),
inference(miniscope,[status(thm)],[f_38_2]) ).
fof(f_38_4,plain,
( ! [U_169] :
( cC132(U_169)
| ra_Px46(U_169,sK28(U_169)) )
& ! [U_168] :
( ! [U_165] : ~ ra_Px46(U_168,U_165)
| ~ cC132(U_168) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_166,sK28(U_169))],[f_38_3]) ).
cnf(f_38_5,plain,
( ~ ra_Px46(U_168,U_165)
| ~ cC132(U_168) ),
inference(clausify,[status(thm)],[f_38_4]) ).
cnf(f_38_6,plain,
( cC132(U_169)
| ra_Px46(U_169,sK28(U_169)) ),
inference(clausify,[status(thm)],[f_38_4]) ).
fof(f_39_1,plain,
! [X] :
( ( cC132xcomp(X)
| ! [Y0] : ~ ra_Px46(X,Y0) )
& ( ? [Y0] : ra_Px46(X,Y0)
| ~ cC132xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_38]) ).
fof(f_39_2,plain,
! [U_172] :
( ( cC132xcomp(U_172)
| ! [U_171] : ~ ra_Px46(U_172,U_171) )
& ( ? [U_170] : ra_Px46(U_172,U_170)
| ~ cC132xcomp(U_172) ) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
( ! [U_174] :
( cC132xcomp(U_174)
| ! [U_171] : ~ ra_Px46(U_174,U_171) )
& ! [U_173] :
( ? [U_170] : ra_Px46(U_173,U_170)
| ~ cC132xcomp(U_173) ) ),
inference(miniscope,[status(thm)],[f_39_2]) ).
fof(f_39_4,plain,
( ! [U_174] :
( cC132xcomp(U_174)
| ! [U_171] : ~ ra_Px46(U_174,U_171) )
& ! [U_173] :
( ra_Px46(U_173,sK29(U_173))
| ~ cC132xcomp(U_173) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_170,sK29(U_173))],[f_39_3]) ).
cnf(f_39_5,plain,
( ra_Px46(U_173,sK29(U_173))
| ~ cC132xcomp(U_173) ),
inference(clausify,[status(thm)],[f_39_4]) ).
cnf(f_39_6,plain,
( cC132xcomp(U_174)
| ~ ra_Px46(U_174,U_171) ),
inference(clausify,[status(thm)],[f_39_4]) ).
fof(f_40_1,plain,
! [X] :
( ( cC134(X)
| ! [Y0] : ~ ra_Px72(X,Y0) )
& ( ? [Y0] : ra_Px72(X,Y0)
| ~ cC134(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_39]) ).
fof(f_40_2,plain,
! [U_177] :
( ( cC134(U_177)
| ! [U_176] : ~ ra_Px72(U_177,U_176) )
& ( ? [U_175] : ra_Px72(U_177,U_175)
| ~ cC134(U_177) ) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
( ! [U_179] :
( cC134(U_179)
| ! [U_176] : ~ ra_Px72(U_179,U_176) )
& ! [U_178] :
( ? [U_175] : ra_Px72(U_178,U_175)
| ~ cC134(U_178) ) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
fof(f_40_4,plain,
( ! [U_179] :
( cC134(U_179)
| ! [U_176] : ~ ra_Px72(U_179,U_176) )
& ! [U_178] :
( ra_Px72(U_178,sK30(U_178))
| ~ cC134(U_178) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_175,sK30(U_178))],[f_40_3]) ).
cnf(f_40_5,plain,
( ra_Px72(U_178,sK30(U_178))
| ~ cC134(U_178) ),
inference(clausify,[status(thm)],[f_40_4]) ).
cnf(f_40_6,plain,
( cC134(U_179)
| ~ ra_Px72(U_179,U_176) ),
inference(clausify,[status(thm)],[f_40_4]) ).
fof(f_41_1,plain,
! [X] :
( ( cC134(X)
| ~ cC108xcomp(X)
| ~ cC132xcomp(X) )
& ( ( cC108xcomp(X)
& cC132xcomp(X) )
| ~ cC134(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_40]) ).
fof(f_41_2,plain,
! [U_180] :
( ( cC134(U_180)
| ~ cC108xcomp(U_180)
| ~ cC132xcomp(U_180) )
& ( ( cC108xcomp(U_180)
& cC132xcomp(U_180) )
| ~ cC134(U_180) ) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
( ! [U_182] :
( cC134(U_182)
| ~ cC108xcomp(U_182)
| ~ cC132xcomp(U_182) )
& ! [U_181] :
( ( cC108xcomp(U_181)
& cC132xcomp(U_181) )
| ~ cC134(U_181) ) ),
inference(miniscope,[status(thm)],[f_41_2]) ).
cnf(f_41_4,plain,
( cC132xcomp(U_181)
| ~ cC134(U_181) ),
inference(clausify,[status(thm)],[f_41_3]) ).
cnf(f_41_5,plain,
( cC108xcomp(U_181)
| ~ cC134(U_181) ),
inference(clausify,[status(thm)],[f_41_3]) ).
cnf(f_41_6,plain,
( cC134(U_182)
| ~ cC108xcomp(U_182)
| ~ cC132xcomp(U_182) ),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_42_1,plain,
! [X] :
( ( cC134xcomp(X)
| ? [Y] : ra_Px72(X,Y) )
& ( ! [Y] : ~ ra_Px72(X,Y)
| ~ cC134xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_41]) ).
fof(f_42_2,plain,
! [U_185] :
( ( cC134xcomp(U_185)
| ? [U_184] : ra_Px72(U_185,U_184) )
& ( ! [U_183] : ~ ra_Px72(U_185,U_183)
| ~ cC134xcomp(U_185) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
( ! [U_187] :
( cC134xcomp(U_187)
| ? [U_184] : ra_Px72(U_187,U_184) )
& ! [U_186] :
( ! [U_183] : ~ ra_Px72(U_186,U_183)
| ~ cC134xcomp(U_186) ) ),
inference(miniscope,[status(thm)],[f_42_2]) ).
fof(f_42_4,plain,
( ! [U_187] :
( cC134xcomp(U_187)
| ra_Px72(U_187,sK31(U_187)) )
& ! [U_186] :
( ! [U_183] : ~ ra_Px72(U_186,U_183)
| ~ cC134xcomp(U_186) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_184,sK31(U_187))],[f_42_3]) ).
cnf(f_42_5,plain,
( ~ ra_Px72(U_186,U_183)
| ~ cC134xcomp(U_186) ),
inference(clausify,[status(thm)],[f_42_4]) ).
cnf(f_42_6,plain,
( cC134xcomp(U_187)
| ra_Px72(U_187,sK31(U_187)) ),
inference(clausify,[status(thm)],[f_42_4]) ).
fof(f_43_1,plain,
! [X] :
( ( cC136(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC136(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_42]) ).
fof(f_43_2,plain,
! [U_190] :
( ( cC136(U_190)
| ! [U_189] :
( ~ cC16xcomp(U_189)
| ~ rR1(U_190,U_189) ) )
& ( ? [U_188] :
( cC16xcomp(U_188)
& rR1(U_190,U_188) )
| ~ cC136(U_190) ) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
( ! [U_192] :
( cC136(U_192)
| ! [U_189] :
( ~ cC16xcomp(U_189)
| ~ rR1(U_192,U_189) ) )
& ! [U_191] :
( ? [U_188] :
( cC16xcomp(U_188)
& rR1(U_191,U_188) )
| ~ cC136(U_191) ) ),
inference(miniscope,[status(thm)],[f_43_2]) ).
fof(f_43_4,plain,
( ! [U_192] :
( cC136(U_192)
| ! [U_189] :
( ~ cC16xcomp(U_189)
| ~ rR1(U_192,U_189) ) )
& ! [U_191] :
( ( cC16xcomp(sK32(U_191))
& rR1(U_191,sK32(U_191)) )
| ~ cC136(U_191) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_188,sK32(U_191))],[f_43_3]) ).
cnf(f_43_5,plain,
( rR1(U_191,sK32(U_191))
| ~ cC136(U_191) ),
inference(clausify,[status(thm)],[f_43_4]) ).
cnf(f_43_6,plain,
( cC16xcomp(sK32(U_191))
| ~ cC136(U_191) ),
inference(clausify,[status(thm)],[f_43_4]) ).
cnf(f_43_7,plain,
( cC136(U_192)
| ~ cC16xcomp(U_189)
| ~ rR1(U_192,U_189) ),
inference(clausify,[status(thm)],[f_43_4]) ).
fof(f_44_1,plain,
! [X] :
( ( cC138(X)
| ~ cC136(X)
| ~ cC16(X) )
& ( ( cC136(X)
& cC16(X) )
| ~ cC138(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_43]) ).
fof(f_44_2,plain,
! [U_193] :
( ( cC138(U_193)
| ~ cC136(U_193)
| ~ cC16(U_193) )
& ( ( cC136(U_193)
& cC16(U_193) )
| ~ cC138(U_193) ) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
( ! [U_195] :
( cC138(U_195)
| ~ cC136(U_195)
| ~ cC16(U_195) )
& ! [U_194] :
( ( cC136(U_194)
& cC16(U_194) )
| ~ cC138(U_194) ) ),
inference(miniscope,[status(thm)],[f_44_2]) ).
cnf(f_44_4,plain,
( cC16(U_194)
| ~ cC138(U_194) ),
inference(clausify,[status(thm)],[f_44_3]) ).
cnf(f_44_5,plain,
( cC136(U_194)
| ~ cC138(U_194) ),
inference(clausify,[status(thm)],[f_44_3]) ).
cnf(f_44_6,plain,
( cC138(U_195)
| ~ cC136(U_195)
| ~ cC16(U_195) ),
inference(clausify,[status(thm)],[f_44_3]) ).
fof(f_45_1,plain,
! [X] :
( ( cC14(X)
| ~ cC12xcomp(X)
| ~ cC2xcomp(X) )
& ( ( cC12xcomp(X)
& cC2xcomp(X) )
| ~ cC14(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_44]) ).
fof(f_45_2,plain,
! [U_196] :
( ( cC14(U_196)
| ~ cC12xcomp(U_196)
| ~ cC2xcomp(U_196) )
& ( ( cC12xcomp(U_196)
& cC2xcomp(U_196) )
| ~ cC14(U_196) ) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
( ! [U_198] :
( cC14(U_198)
| ~ cC12xcomp(U_198)
| ~ cC2xcomp(U_198) )
& ! [U_197] :
( ( cC12xcomp(U_197)
& cC2xcomp(U_197) )
| ~ cC14(U_197) ) ),
inference(miniscope,[status(thm)],[f_45_2]) ).
cnf(f_45_4,plain,
( cC2xcomp(U_197)
| ~ cC14(U_197) ),
inference(clausify,[status(thm)],[f_45_3]) ).
cnf(f_45_5,plain,
( cC12xcomp(U_197)
| ~ cC14(U_197) ),
inference(clausify,[status(thm)],[f_45_3]) ).
cnf(f_45_6,plain,
( cC14(U_198)
| ~ cC12xcomp(U_198)
| ~ cC2xcomp(U_198) ),
inference(clausify,[status(thm)],[f_45_3]) ).
fof(f_46_1,plain,
! [X] :
( ( cC140(X)
| ! [Y] :
( ~ cC138(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC138(Y)
& rR1(X,Y) )
| ~ cC140(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_45]) ).
fof(f_46_2,plain,
! [U_201] :
( ( cC140(U_201)
| ! [U_200] :
( ~ cC138(U_200)
| ~ rR1(U_201,U_200) ) )
& ( ? [U_199] :
( cC138(U_199)
& rR1(U_201,U_199) )
| ~ cC140(U_201) ) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
( ! [U_203] :
( cC140(U_203)
| ! [U_200] :
( ~ cC138(U_200)
| ~ rR1(U_203,U_200) ) )
& ! [U_202] :
( ? [U_199] :
( cC138(U_199)
& rR1(U_202,U_199) )
| ~ cC140(U_202) ) ),
inference(miniscope,[status(thm)],[f_46_2]) ).
fof(f_46_4,plain,
( ! [U_203] :
( cC140(U_203)
| ! [U_200] :
( ~ cC138(U_200)
| ~ rR1(U_203,U_200) ) )
& ! [U_202] :
( ( cC138(sK33(U_202))
& rR1(U_202,sK33(U_202)) )
| ~ cC140(U_202) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_199,sK33(U_202))],[f_46_3]) ).
cnf(f_46_5,plain,
( rR1(U_202,sK33(U_202))
| ~ cC140(U_202) ),
inference(clausify,[status(thm)],[f_46_4]) ).
cnf(f_46_6,plain,
( cC138(sK33(U_202))
| ~ cC140(U_202) ),
inference(clausify,[status(thm)],[f_46_4]) ).
cnf(f_46_7,plain,
( cC140(U_203)
| ~ cC138(U_200)
| ~ rR1(U_203,U_200) ),
inference(clausify,[status(thm)],[f_46_4]) ).
fof(f_47_1,plain,
! [X] :
( ( cC140(X)
| ? [Y] : ra_Px49(X,Y) )
& ( ! [Y] : ~ ra_Px49(X,Y)
| ~ cC140(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_46]) ).
fof(f_47_2,plain,
! [U_206] :
( ( cC140(U_206)
| ? [U_205] : ra_Px49(U_206,U_205) )
& ( ! [U_204] : ~ ra_Px49(U_206,U_204)
| ~ cC140(U_206) ) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
( ! [U_208] :
( cC140(U_208)
| ? [U_205] : ra_Px49(U_208,U_205) )
& ! [U_207] :
( ! [U_204] : ~ ra_Px49(U_207,U_204)
| ~ cC140(U_207) ) ),
inference(miniscope,[status(thm)],[f_47_2]) ).
fof(f_47_4,plain,
( ! [U_208] :
( cC140(U_208)
| ra_Px49(U_208,sK34(U_208)) )
& ! [U_207] :
( ! [U_204] : ~ ra_Px49(U_207,U_204)
| ~ cC140(U_207) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_205,sK34(U_208))],[f_47_3]) ).
cnf(f_47_5,plain,
( ~ ra_Px49(U_207,U_204)
| ~ cC140(U_207) ),
inference(clausify,[status(thm)],[f_47_4]) ).
cnf(f_47_6,plain,
( cC140(U_208)
| ra_Px49(U_208,sK34(U_208)) ),
inference(clausify,[status(thm)],[f_47_4]) ).
fof(f_48_1,plain,
! [X] :
( ( cC140xcomp(X)
| ! [Y0] : ~ ra_Px49(X,Y0) )
& ( ? [Y0] : ra_Px49(X,Y0)
| ~ cC140xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_47]) ).
fof(f_48_2,plain,
! [U_211] :
( ( cC140xcomp(U_211)
| ! [U_210] : ~ ra_Px49(U_211,U_210) )
& ( ? [U_209] : ra_Px49(U_211,U_209)
| ~ cC140xcomp(U_211) ) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
( ! [U_213] :
( cC140xcomp(U_213)
| ! [U_210] : ~ ra_Px49(U_213,U_210) )
& ! [U_212] :
( ? [U_209] : ra_Px49(U_212,U_209)
| ~ cC140xcomp(U_212) ) ),
inference(miniscope,[status(thm)],[f_48_2]) ).
fof(f_48_4,plain,
( ! [U_213] :
( cC140xcomp(U_213)
| ! [U_210] : ~ ra_Px49(U_213,U_210) )
& ! [U_212] :
( ra_Px49(U_212,sK35(U_212))
| ~ cC140xcomp(U_212) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_209,sK35(U_212))],[f_48_3]) ).
cnf(f_48_5,plain,
( ra_Px49(U_212,sK35(U_212))
| ~ cC140xcomp(U_212) ),
inference(clausify,[status(thm)],[f_48_4]) ).
cnf(f_48_6,plain,
( cC140xcomp(U_213)
| ~ ra_Px49(U_213,U_210) ),
inference(clausify,[status(thm)],[f_48_4]) ).
fof(f_49_1,plain,
! [X] :
( ( cC142(X)
| ~ cC140xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC140xcomp(X)
& cC16xcomp(X) )
| ~ cC142(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_48]) ).
fof(f_49_2,plain,
! [U_214] :
( ( cC142(U_214)
| ~ cC140xcomp(U_214)
| ~ cC16xcomp(U_214) )
& ( ( cC140xcomp(U_214)
& cC16xcomp(U_214) )
| ~ cC142(U_214) ) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
( ! [U_216] :
( cC142(U_216)
| ~ cC140xcomp(U_216)
| ~ cC16xcomp(U_216) )
& ! [U_215] :
( ( cC140xcomp(U_215)
& cC16xcomp(U_215) )
| ~ cC142(U_215) ) ),
inference(miniscope,[status(thm)],[f_49_2]) ).
cnf(f_49_4,plain,
( cC16xcomp(U_215)
| ~ cC142(U_215) ),
inference(clausify,[status(thm)],[f_49_3]) ).
cnf(f_49_5,plain,
( cC140xcomp(U_215)
| ~ cC142(U_215) ),
inference(clausify,[status(thm)],[f_49_3]) ).
cnf(f_49_6,plain,
( cC142(U_216)
| ~ cC140xcomp(U_216)
| ~ cC16xcomp(U_216) ),
inference(clausify,[status(thm)],[f_49_3]) ).
fof(f_50_1,plain,
! [X] :
( ( cC142(X)
| ! [Y0] : ~ ra_Px57(X,Y0) )
& ( ? [Y0] : ra_Px57(X,Y0)
| ~ cC142(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_49]) ).
fof(f_50_2,plain,
! [U_219] :
( ( cC142(U_219)
| ! [U_218] : ~ ra_Px57(U_219,U_218) )
& ( ? [U_217] : ra_Px57(U_219,U_217)
| ~ cC142(U_219) ) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
( ! [U_221] :
( cC142(U_221)
| ! [U_218] : ~ ra_Px57(U_221,U_218) )
& ! [U_220] :
( ? [U_217] : ra_Px57(U_220,U_217)
| ~ cC142(U_220) ) ),
inference(miniscope,[status(thm)],[f_50_2]) ).
fof(f_50_4,plain,
( ! [U_221] :
( cC142(U_221)
| ! [U_218] : ~ ra_Px57(U_221,U_218) )
& ! [U_220] :
( ra_Px57(U_220,sK36(U_220))
| ~ cC142(U_220) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(U_217,sK36(U_220))],[f_50_3]) ).
cnf(f_50_5,plain,
( ra_Px57(U_220,sK36(U_220))
| ~ cC142(U_220) ),
inference(clausify,[status(thm)],[f_50_4]) ).
cnf(f_50_6,plain,
( cC142(U_221)
| ~ ra_Px57(U_221,U_218) ),
inference(clausify,[status(thm)],[f_50_4]) ).
fof(f_51_1,plain,
! [X] :
( ( cC142xcomp(X)
| ? [Y] : ra_Px57(X,Y) )
& ( ! [Y] : ~ ra_Px57(X,Y)
| ~ cC142xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_50]) ).
fof(f_51_2,plain,
! [U_224] :
( ( cC142xcomp(U_224)
| ? [U_223] : ra_Px57(U_224,U_223) )
& ( ! [U_222] : ~ ra_Px57(U_224,U_222)
| ~ cC142xcomp(U_224) ) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
fof(f_51_3,plain,
( ! [U_226] :
( cC142xcomp(U_226)
| ? [U_223] : ra_Px57(U_226,U_223) )
& ! [U_225] :
( ! [U_222] : ~ ra_Px57(U_225,U_222)
| ~ cC142xcomp(U_225) ) ),
inference(miniscope,[status(thm)],[f_51_2]) ).
fof(f_51_4,plain,
( ! [U_226] :
( cC142xcomp(U_226)
| ra_Px57(U_226,sK37(U_226)) )
& ! [U_225] :
( ! [U_222] : ~ ra_Px57(U_225,U_222)
| ~ cC142xcomp(U_225) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_223,sK37(U_226))],[f_51_3]) ).
cnf(f_51_5,plain,
( ~ ra_Px57(U_225,U_222)
| ~ cC142xcomp(U_225) ),
inference(clausify,[status(thm)],[f_51_4]) ).
cnf(f_51_6,plain,
( cC142xcomp(U_226)
| ra_Px57(U_226,sK37(U_226)) ),
inference(clausify,[status(thm)],[f_51_4]) ).
fof(f_52_1,plain,
! [X] :
( ( cC144(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC144(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_51]) ).
fof(f_52_2,plain,
! [U_229] :
( ( cC144(U_229)
| ! [U_228] :
( ~ cC16xcomp(U_228)
| ~ rR1(U_229,U_228) ) )
& ( ? [U_227] :
( cC16xcomp(U_227)
& rR1(U_229,U_227) )
| ~ cC144(U_229) ) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
fof(f_52_3,plain,
( ! [U_231] :
( cC144(U_231)
| ! [U_228] :
( ~ cC16xcomp(U_228)
| ~ rR1(U_231,U_228) ) )
& ! [U_230] :
( ? [U_227] :
( cC16xcomp(U_227)
& rR1(U_230,U_227) )
| ~ cC144(U_230) ) ),
inference(miniscope,[status(thm)],[f_52_2]) ).
fof(f_52_4,plain,
( ! [U_231] :
( cC144(U_231)
| ! [U_228] :
( ~ cC16xcomp(U_228)
| ~ rR1(U_231,U_228) ) )
& ! [U_230] :
( ( cC16xcomp(sK38(U_230))
& rR1(U_230,sK38(U_230)) )
| ~ cC144(U_230) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(U_227,sK38(U_230))],[f_52_3]) ).
cnf(f_52_5,plain,
( rR1(U_230,sK38(U_230))
| ~ cC144(U_230) ),
inference(clausify,[status(thm)],[f_52_4]) ).
cnf(f_52_6,plain,
( cC16xcomp(sK38(U_230))
| ~ cC144(U_230) ),
inference(clausify,[status(thm)],[f_52_4]) ).
cnf(f_52_7,plain,
( cC144(U_231)
| ~ cC16xcomp(U_228)
| ~ rR1(U_231,U_228) ),
inference(clausify,[status(thm)],[f_52_4]) ).
fof(f_53_1,plain,
! [X] :
( ( cC146(X)
| ~ cC16(X)
| ~ cC144(X) )
& ( ( cC16(X)
& cC144(X) )
| ~ cC146(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_52]) ).
fof(f_53_2,plain,
! [U_232] :
( ( cC146(U_232)
| ~ cC16(U_232)
| ~ cC144(U_232) )
& ( ( cC16(U_232)
& cC144(U_232) )
| ~ cC146(U_232) ) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
fof(f_53_3,plain,
( ! [U_234] :
( cC146(U_234)
| ~ cC16(U_234)
| ~ cC144(U_234) )
& ! [U_233] :
( ( cC16(U_233)
& cC144(U_233) )
| ~ cC146(U_233) ) ),
inference(miniscope,[status(thm)],[f_53_2]) ).
cnf(f_53_4,plain,
( cC144(U_233)
| ~ cC146(U_233) ),
inference(clausify,[status(thm)],[f_53_3]) ).
cnf(f_53_5,plain,
( cC16(U_233)
| ~ cC146(U_233) ),
inference(clausify,[status(thm)],[f_53_3]) ).
cnf(f_53_6,plain,
( cC146(U_234)
| ~ cC16(U_234)
| ~ cC144(U_234) ),
inference(clausify,[status(thm)],[f_53_3]) ).
fof(f_54_1,plain,
! [X] :
( ( cC148(X)
| ? [Y] : ra_Px52(X,Y) )
& ( ! [Y] : ~ ra_Px52(X,Y)
| ~ cC148(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_53]) ).
fof(f_54_2,plain,
! [U_237] :
( ( cC148(U_237)
| ? [U_236] : ra_Px52(U_237,U_236) )
& ( ! [U_235] : ~ ra_Px52(U_237,U_235)
| ~ cC148(U_237) ) ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
fof(f_54_3,plain,
( ! [U_239] :
( cC148(U_239)
| ? [U_236] : ra_Px52(U_239,U_236) )
& ! [U_238] :
( ! [U_235] : ~ ra_Px52(U_238,U_235)
| ~ cC148(U_238) ) ),
inference(miniscope,[status(thm)],[f_54_2]) ).
fof(f_54_4,plain,
( ! [U_239] :
( cC148(U_239)
| ra_Px52(U_239,sK39(U_239)) )
& ! [U_238] :
( ! [U_235] : ~ ra_Px52(U_238,U_235)
| ~ cC148(U_238) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(U_236,sK39(U_239))],[f_54_3]) ).
cnf(f_54_5,plain,
( ~ ra_Px52(U_238,U_235)
| ~ cC148(U_238) ),
inference(clausify,[status(thm)],[f_54_4]) ).
cnf(f_54_6,plain,
( cC148(U_239)
| ra_Px52(U_239,sK39(U_239)) ),
inference(clausify,[status(thm)],[f_54_4]) ).
fof(f_55_1,plain,
! [X] :
( ( cC148(X)
| ! [Y] :
( ~ cC146(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC146(Y)
& rR1(X,Y) )
| ~ cC148(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_54]) ).
fof(f_55_2,plain,
! [U_242] :
( ( cC148(U_242)
| ! [U_241] :
( ~ cC146(U_241)
| ~ rR1(U_242,U_241) ) )
& ( ? [U_240] :
( cC146(U_240)
& rR1(U_242,U_240) )
| ~ cC148(U_242) ) ),
inference(variable_rename,[status(thm)],[f_55_1]) ).
fof(f_55_3,plain,
( ! [U_244] :
( cC148(U_244)
| ! [U_241] :
( ~ cC146(U_241)
| ~ rR1(U_244,U_241) ) )
& ! [U_243] :
( ? [U_240] :
( cC146(U_240)
& rR1(U_243,U_240) )
| ~ cC148(U_243) ) ),
inference(miniscope,[status(thm)],[f_55_2]) ).
fof(f_55_4,plain,
( ! [U_244] :
( cC148(U_244)
| ! [U_241] :
( ~ cC146(U_241)
| ~ rR1(U_244,U_241) ) )
& ! [U_243] :
( ( cC146(sK40(U_243))
& rR1(U_243,sK40(U_243)) )
| ~ cC148(U_243) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(U_240,sK40(U_243))],[f_55_3]) ).
cnf(f_55_5,plain,
( rR1(U_243,sK40(U_243))
| ~ cC148(U_243) ),
inference(clausify,[status(thm)],[f_55_4]) ).
cnf(f_55_6,plain,
( cC146(sK40(U_243))
| ~ cC148(U_243) ),
inference(clausify,[status(thm)],[f_55_4]) ).
cnf(f_55_7,plain,
( cC148(U_244)
| ~ cC146(U_241)
| ~ rR1(U_244,U_241) ),
inference(clausify,[status(thm)],[f_55_4]) ).
fof(f_56_1,plain,
! [X] :
( ( cC148xcomp(X)
| ! [Y0] : ~ ra_Px52(X,Y0) )
& ( ? [Y0] : ra_Px52(X,Y0)
| ~ cC148xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_55]) ).
fof(f_56_2,plain,
! [U_247] :
( ( cC148xcomp(U_247)
| ! [U_246] : ~ ra_Px52(U_247,U_246) )
& ( ? [U_245] : ra_Px52(U_247,U_245)
| ~ cC148xcomp(U_247) ) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
fof(f_56_3,plain,
( ! [U_249] :
( cC148xcomp(U_249)
| ! [U_246] : ~ ra_Px52(U_249,U_246) )
& ! [U_248] :
( ? [U_245] : ra_Px52(U_248,U_245)
| ~ cC148xcomp(U_248) ) ),
inference(miniscope,[status(thm)],[f_56_2]) ).
fof(f_56_4,plain,
( ! [U_249] :
( cC148xcomp(U_249)
| ! [U_246] : ~ ra_Px52(U_249,U_246) )
& ! [U_248] :
( ra_Px52(U_248,sK41(U_248))
| ~ cC148xcomp(U_248) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(U_245,sK41(U_248))],[f_56_3]) ).
cnf(f_56_5,plain,
( ra_Px52(U_248,sK41(U_248))
| ~ cC148xcomp(U_248) ),
inference(clausify,[status(thm)],[f_56_4]) ).
cnf(f_56_6,plain,
( cC148xcomp(U_249)
| ~ ra_Px52(U_249,U_246) ),
inference(clausify,[status(thm)],[f_56_4]) ).
fof(f_57_1,plain,
! [X] :
( ( cC150(X)
| ~ cC148xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC148xcomp(X)
& cC16xcomp(X) )
| ~ cC150(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_56]) ).
fof(f_57_2,plain,
! [U_250] :
( ( cC150(U_250)
| ~ cC148xcomp(U_250)
| ~ cC16xcomp(U_250) )
& ( ( cC148xcomp(U_250)
& cC16xcomp(U_250) )
| ~ cC150(U_250) ) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
fof(f_57_3,plain,
( ! [U_252] :
( cC150(U_252)
| ~ cC148xcomp(U_252)
| ~ cC16xcomp(U_252) )
& ! [U_251] :
( ( cC148xcomp(U_251)
& cC16xcomp(U_251) )
| ~ cC150(U_251) ) ),
inference(miniscope,[status(thm)],[f_57_2]) ).
cnf(f_57_4,plain,
( cC16xcomp(U_251)
| ~ cC150(U_251) ),
inference(clausify,[status(thm)],[f_57_3]) ).
cnf(f_57_5,plain,
( cC148xcomp(U_251)
| ~ cC150(U_251) ),
inference(clausify,[status(thm)],[f_57_3]) ).
cnf(f_57_6,plain,
( cC150(U_252)
| ~ cC148xcomp(U_252)
| ~ cC16xcomp(U_252) ),
inference(clausify,[status(thm)],[f_57_3]) ).
fof(f_58_1,plain,
! [X] :
( ( cC152(X)
| ! [Y] :
( ~ cC150(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC150(Y)
& rR1(X,Y) )
| ~ cC152(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_57]) ).
fof(f_58_2,plain,
! [U_255] :
( ( cC152(U_255)
| ! [U_254] :
( ~ cC150(U_254)
| ~ rR1(U_255,U_254) ) )
& ( ? [U_253] :
( cC150(U_253)
& rR1(U_255,U_253) )
| ~ cC152(U_255) ) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
( ! [U_257] :
( cC152(U_257)
| ! [U_254] :
( ~ cC150(U_254)
| ~ rR1(U_257,U_254) ) )
& ! [U_256] :
( ? [U_253] :
( cC150(U_253)
& rR1(U_256,U_253) )
| ~ cC152(U_256) ) ),
inference(miniscope,[status(thm)],[f_58_2]) ).
fof(f_58_4,plain,
( ! [U_257] :
( cC152(U_257)
| ! [U_254] :
( ~ cC150(U_254)
| ~ rR1(U_257,U_254) ) )
& ! [U_256] :
( ( cC150(sK42(U_256))
& rR1(U_256,sK42(U_256)) )
| ~ cC152(U_256) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(U_253,sK42(U_256))],[f_58_3]) ).
cnf(f_58_5,plain,
( rR1(U_256,sK42(U_256))
| ~ cC152(U_256) ),
inference(clausify,[status(thm)],[f_58_4]) ).
cnf(f_58_6,plain,
( cC150(sK42(U_256))
| ~ cC152(U_256) ),
inference(clausify,[status(thm)],[f_58_4]) ).
cnf(f_58_7,plain,
( cC152(U_257)
| ~ cC150(U_254)
| ~ rR1(U_257,U_254) ),
inference(clausify,[status(thm)],[f_58_4]) ).
fof(f_59_1,plain,
! [X] :
( ( cC154(X)
| ! [Y] :
( ~ cC152(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC152(Y)
& rR1(X,Y) )
| ~ cC154(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_58]) ).
fof(f_59_2,plain,
! [U_260] :
( ( cC154(U_260)
| ! [U_259] :
( ~ cC152(U_259)
| ~ rR1(U_260,U_259) ) )
& ( ? [U_258] :
( cC152(U_258)
& rR1(U_260,U_258) )
| ~ cC154(U_260) ) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
fof(f_59_3,plain,
( ! [U_262] :
( cC154(U_262)
| ! [U_259] :
( ~ cC152(U_259)
| ~ rR1(U_262,U_259) ) )
& ! [U_261] :
( ? [U_258] :
( cC152(U_258)
& rR1(U_261,U_258) )
| ~ cC154(U_261) ) ),
inference(miniscope,[status(thm)],[f_59_2]) ).
fof(f_59_4,plain,
( ! [U_262] :
( cC154(U_262)
| ! [U_259] :
( ~ cC152(U_259)
| ~ rR1(U_262,U_259) ) )
& ! [U_261] :
( ( cC152(sK43(U_261))
& rR1(U_261,sK43(U_261)) )
| ~ cC154(U_261) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(U_258,sK43(U_261))],[f_59_3]) ).
cnf(f_59_5,plain,
( rR1(U_261,sK43(U_261))
| ~ cC154(U_261) ),
inference(clausify,[status(thm)],[f_59_4]) ).
cnf(f_59_6,plain,
( cC152(sK43(U_261))
| ~ cC154(U_261) ),
inference(clausify,[status(thm)],[f_59_4]) ).
cnf(f_59_7,plain,
( cC154(U_262)
| ~ cC152(U_259)
| ~ rR1(U_262,U_259) ),
inference(clausify,[status(thm)],[f_59_4]) ).
fof(f_60_1,plain,
! [X] :
( ( cC156(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC156(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_59]) ).
fof(f_60_2,plain,
! [U_265] :
( ( cC156(U_265)
| ! [U_264] :
( ~ cC16xcomp(U_264)
| ~ rR1(U_265,U_264) ) )
& ( ? [U_263] :
( cC16xcomp(U_263)
& rR1(U_265,U_263) )
| ~ cC156(U_265) ) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
fof(f_60_3,plain,
( ! [U_267] :
( cC156(U_267)
| ! [U_264] :
( ~ cC16xcomp(U_264)
| ~ rR1(U_267,U_264) ) )
& ! [U_266] :
( ? [U_263] :
( cC16xcomp(U_263)
& rR1(U_266,U_263) )
| ~ cC156(U_266) ) ),
inference(miniscope,[status(thm)],[f_60_2]) ).
fof(f_60_4,plain,
( ! [U_267] :
( cC156(U_267)
| ! [U_264] :
( ~ cC16xcomp(U_264)
| ~ rR1(U_267,U_264) ) )
& ! [U_266] :
( ( cC16xcomp(sK44(U_266))
& rR1(U_266,sK44(U_266)) )
| ~ cC156(U_266) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(U_263,sK44(U_266))],[f_60_3]) ).
cnf(f_60_5,plain,
( rR1(U_266,sK44(U_266))
| ~ cC156(U_266) ),
inference(clausify,[status(thm)],[f_60_4]) ).
cnf(f_60_6,plain,
( cC16xcomp(sK44(U_266))
| ~ cC156(U_266) ),
inference(clausify,[status(thm)],[f_60_4]) ).
cnf(f_60_7,plain,
( cC156(U_267)
| ~ cC16xcomp(U_264)
| ~ rR1(U_267,U_264) ),
inference(clausify,[status(thm)],[f_60_4]) ).
fof(f_61_1,plain,
! [X] :
( ( cC158(X)
| ~ cC156(X)
| ~ cC16(X) )
& ( ( cC156(X)
& cC16(X) )
| ~ cC158(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_60]) ).
fof(f_61_2,plain,
! [U_268] :
( ( cC158(U_268)
| ~ cC156(U_268)
| ~ cC16(U_268) )
& ( ( cC156(U_268)
& cC16(U_268) )
| ~ cC158(U_268) ) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
fof(f_61_3,plain,
( ! [U_270] :
( cC158(U_270)
| ~ cC156(U_270)
| ~ cC16(U_270) )
& ! [U_269] :
( ( cC156(U_269)
& cC16(U_269) )
| ~ cC158(U_269) ) ),
inference(miniscope,[status(thm)],[f_61_2]) ).
cnf(f_61_4,plain,
( cC16(U_269)
| ~ cC158(U_269) ),
inference(clausify,[status(thm)],[f_61_3]) ).
cnf(f_61_5,plain,
( cC156(U_269)
| ~ cC158(U_269) ),
inference(clausify,[status(thm)],[f_61_3]) ).
cnf(f_61_6,plain,
( cC158(U_270)
| ~ cC156(U_270)
| ~ cC16(U_270) ),
inference(clausify,[status(thm)],[f_61_3]) ).
fof(f_62_1,plain,
! [X] :
( ( cC16(X)
| ! [Y0] : ~ ra_Px5(X,Y0) )
& ( ? [Y0] : ra_Px5(X,Y0)
| ~ cC16(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_61]) ).
fof(f_62_2,plain,
! [U_273] :
( ( cC16(U_273)
| ! [U_272] : ~ ra_Px5(U_273,U_272) )
& ( ? [U_271] : ra_Px5(U_273,U_271)
| ~ cC16(U_273) ) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
( ! [U_275] :
( cC16(U_275)
| ! [U_272] : ~ ra_Px5(U_275,U_272) )
& ! [U_274] :
( ? [U_271] : ra_Px5(U_274,U_271)
| ~ cC16(U_274) ) ),
inference(miniscope,[status(thm)],[f_62_2]) ).
fof(f_62_4,plain,
( ! [U_275] :
( cC16(U_275)
| ! [U_272] : ~ ra_Px5(U_275,U_272) )
& ! [U_274] :
( ra_Px5(U_274,sK45(U_274))
| ~ cC16(U_274) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(U_271,sK45(U_274))],[f_62_3]) ).
cnf(f_62_5,plain,
( ra_Px5(U_274,sK45(U_274))
| ~ cC16(U_274) ),
inference(clausify,[status(thm)],[f_62_4]) ).
cnf(f_62_6,plain,
( cC16(U_275)
| ~ ra_Px5(U_275,U_272) ),
inference(clausify,[status(thm)],[f_62_4]) ).
fof(f_63_1,plain,
! [X] :
( ( cC16xcomp(X)
| ? [Y] : ra_Px5(X,Y) )
& ( ! [Y] : ~ ra_Px5(X,Y)
| ~ cC16xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_62]) ).
fof(f_63_2,plain,
! [U_278] :
( ( cC16xcomp(U_278)
| ? [U_277] : ra_Px5(U_278,U_277) )
& ( ! [U_276] : ~ ra_Px5(U_278,U_276)
| ~ cC16xcomp(U_278) ) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
( ! [U_280] :
( cC16xcomp(U_280)
| ? [U_277] : ra_Px5(U_280,U_277) )
& ! [U_279] :
( ! [U_276] : ~ ra_Px5(U_279,U_276)
| ~ cC16xcomp(U_279) ) ),
inference(miniscope,[status(thm)],[f_63_2]) ).
fof(f_63_4,plain,
( ! [U_280] :
( cC16xcomp(U_280)
| ra_Px5(U_280,sK46(U_280)) )
& ! [U_279] :
( ! [U_276] : ~ ra_Px5(U_279,U_276)
| ~ cC16xcomp(U_279) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(U_277,sK46(U_280))],[f_63_3]) ).
cnf(f_63_5,plain,
( ~ ra_Px5(U_279,U_276)
| ~ cC16xcomp(U_279) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_6,plain,
( cC16xcomp(U_280)
| ra_Px5(U_280,sK46(U_280)) ),
inference(clausify,[status(thm)],[f_63_4]) ).
fof(f_64_1,plain,
! [X] :
( ( cC160(X)
| ? [Y] : ra_Px55(X,Y) )
& ( ! [Y] : ~ ra_Px55(X,Y)
| ~ cC160(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_63]) ).
fof(f_64_2,plain,
! [U_283] :
( ( cC160(U_283)
| ? [U_282] : ra_Px55(U_283,U_282) )
& ( ! [U_281] : ~ ra_Px55(U_283,U_281)
| ~ cC160(U_283) ) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
( ! [U_285] :
( cC160(U_285)
| ? [U_282] : ra_Px55(U_285,U_282) )
& ! [U_284] :
( ! [U_281] : ~ ra_Px55(U_284,U_281)
| ~ cC160(U_284) ) ),
inference(miniscope,[status(thm)],[f_64_2]) ).
fof(f_64_4,plain,
( ! [U_285] :
( cC160(U_285)
| ra_Px55(U_285,sK47(U_285)) )
& ! [U_284] :
( ! [U_281] : ~ ra_Px55(U_284,U_281)
| ~ cC160(U_284) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(U_282,sK47(U_285))],[f_64_3]) ).
cnf(f_64_5,plain,
( ~ ra_Px55(U_284,U_281)
| ~ cC160(U_284) ),
inference(clausify,[status(thm)],[f_64_4]) ).
cnf(f_64_6,plain,
( cC160(U_285)
| ra_Px55(U_285,sK47(U_285)) ),
inference(clausify,[status(thm)],[f_64_4]) ).
fof(f_65_1,plain,
! [X] :
( ( cC160(X)
| ! [Y] :
( ~ cC158(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC158(Y)
& rR1(X,Y) )
| ~ cC160(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_64]) ).
fof(f_65_2,plain,
! [U_288] :
( ( cC160(U_288)
| ! [U_287] :
( ~ cC158(U_287)
| ~ rR1(U_288,U_287) ) )
& ( ? [U_286] :
( cC158(U_286)
& rR1(U_288,U_286) )
| ~ cC160(U_288) ) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
( ! [U_290] :
( cC160(U_290)
| ! [U_287] :
( ~ cC158(U_287)
| ~ rR1(U_290,U_287) ) )
& ! [U_289] :
( ? [U_286] :
( cC158(U_286)
& rR1(U_289,U_286) )
| ~ cC160(U_289) ) ),
inference(miniscope,[status(thm)],[f_65_2]) ).
fof(f_65_4,plain,
( ! [U_290] :
( cC160(U_290)
| ! [U_287] :
( ~ cC158(U_287)
| ~ rR1(U_290,U_287) ) )
& ! [U_289] :
( ( cC158(sK48(U_289))
& rR1(U_289,sK48(U_289)) )
| ~ cC160(U_289) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(U_286,sK48(U_289))],[f_65_3]) ).
cnf(f_65_5,plain,
( rR1(U_289,sK48(U_289))
| ~ cC160(U_289) ),
inference(clausify,[status(thm)],[f_65_4]) ).
cnf(f_65_6,plain,
( cC158(sK48(U_289))
| ~ cC160(U_289) ),
inference(clausify,[status(thm)],[f_65_4]) ).
cnf(f_65_7,plain,
( cC160(U_290)
| ~ cC158(U_287)
| ~ rR1(U_290,U_287) ),
inference(clausify,[status(thm)],[f_65_4]) ).
fof(f_66_1,plain,
! [X] :
( ( cC160xcomp(X)
| ! [Y0] : ~ ra_Px55(X,Y0) )
& ( ? [Y0] : ra_Px55(X,Y0)
| ~ cC160xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_65]) ).
fof(f_66_2,plain,
! [U_293] :
( ( cC160xcomp(U_293)
| ! [U_292] : ~ ra_Px55(U_293,U_292) )
& ( ? [U_291] : ra_Px55(U_293,U_291)
| ~ cC160xcomp(U_293) ) ),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
( ! [U_295] :
( cC160xcomp(U_295)
| ! [U_292] : ~ ra_Px55(U_295,U_292) )
& ! [U_294] :
( ? [U_291] : ra_Px55(U_294,U_291)
| ~ cC160xcomp(U_294) ) ),
inference(miniscope,[status(thm)],[f_66_2]) ).
fof(f_66_4,plain,
( ! [U_295] :
( cC160xcomp(U_295)
| ! [U_292] : ~ ra_Px55(U_295,U_292) )
& ! [U_294] :
( ra_Px55(U_294,sK49(U_294))
| ~ cC160xcomp(U_294) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(U_291,sK49(U_294))],[f_66_3]) ).
cnf(f_66_5,plain,
( ra_Px55(U_294,sK49(U_294))
| ~ cC160xcomp(U_294) ),
inference(clausify,[status(thm)],[f_66_4]) ).
cnf(f_66_6,plain,
( cC160xcomp(U_295)
| ~ ra_Px55(U_295,U_292) ),
inference(clausify,[status(thm)],[f_66_4]) ).
fof(f_67_1,plain,
! [X] :
( ( cC162(X)
| ~ cC160xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC160xcomp(X)
& cC16xcomp(X) )
| ~ cC162(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_66]) ).
fof(f_67_2,plain,
! [U_296] :
( ( cC162(U_296)
| ~ cC160xcomp(U_296)
| ~ cC16xcomp(U_296) )
& ( ( cC160xcomp(U_296)
& cC16xcomp(U_296) )
| ~ cC162(U_296) ) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
( ! [U_298] :
( cC162(U_298)
| ~ cC160xcomp(U_298)
| ~ cC16xcomp(U_298) )
& ! [U_297] :
( ( cC160xcomp(U_297)
& cC16xcomp(U_297) )
| ~ cC162(U_297) ) ),
inference(miniscope,[status(thm)],[f_67_2]) ).
cnf(f_67_4,plain,
( cC16xcomp(U_297)
| ~ cC162(U_297) ),
inference(clausify,[status(thm)],[f_67_3]) ).
cnf(f_67_5,plain,
( cC160xcomp(U_297)
| ~ cC162(U_297) ),
inference(clausify,[status(thm)],[f_67_3]) ).
cnf(f_67_6,plain,
( cC162(U_298)
| ~ cC160xcomp(U_298)
| ~ cC16xcomp(U_298) ),
inference(clausify,[status(thm)],[f_67_3]) ).
fof(f_68_1,plain,
! [X] :
( ( cC164(X)
| ! [Y] :
( ~ cC162(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC162(Y)
& rR1(X,Y) )
| ~ cC164(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_67]) ).
fof(f_68_2,plain,
! [U_301] :
( ( cC164(U_301)
| ! [U_300] :
( ~ cC162(U_300)
| ~ rR1(U_301,U_300) ) )
& ( ? [U_299] :
( cC162(U_299)
& rR1(U_301,U_299) )
| ~ cC164(U_301) ) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
fof(f_68_3,plain,
( ! [U_303] :
( cC164(U_303)
| ! [U_300] :
( ~ cC162(U_300)
| ~ rR1(U_303,U_300) ) )
& ! [U_302] :
( ? [U_299] :
( cC162(U_299)
& rR1(U_302,U_299) )
| ~ cC164(U_302) ) ),
inference(miniscope,[status(thm)],[f_68_2]) ).
fof(f_68_4,plain,
( ! [U_303] :
( cC164(U_303)
| ! [U_300] :
( ~ cC162(U_300)
| ~ rR1(U_303,U_300) ) )
& ! [U_302] :
( ( cC162(sK50(U_302))
& rR1(U_302,sK50(U_302)) )
| ~ cC164(U_302) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(U_299,sK50(U_302))],[f_68_3]) ).
cnf(f_68_5,plain,
( rR1(U_302,sK50(U_302))
| ~ cC164(U_302) ),
inference(clausify,[status(thm)],[f_68_4]) ).
cnf(f_68_6,plain,
( cC162(sK50(U_302))
| ~ cC164(U_302) ),
inference(clausify,[status(thm)],[f_68_4]) ).
cnf(f_68_7,plain,
( cC164(U_303)
| ~ cC162(U_300)
| ~ rR1(U_303,U_300) ),
inference(clausify,[status(thm)],[f_68_4]) ).
fof(f_69_1,plain,
! [X] :
( ( cC164(X)
| ! [Y0] : ~ ra_Px56(X,Y0) )
& ( ? [Y0] : ra_Px56(X,Y0)
| ~ cC164(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_68]) ).
fof(f_69_2,plain,
! [U_306] :
( ( cC164(U_306)
| ! [U_305] : ~ ra_Px56(U_306,U_305) )
& ( ? [U_304] : ra_Px56(U_306,U_304)
| ~ cC164(U_306) ) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
( ! [U_308] :
( cC164(U_308)
| ! [U_305] : ~ ra_Px56(U_308,U_305) )
& ! [U_307] :
( ? [U_304] : ra_Px56(U_307,U_304)
| ~ cC164(U_307) ) ),
inference(miniscope,[status(thm)],[f_69_2]) ).
fof(f_69_4,plain,
( ! [U_308] :
( cC164(U_308)
| ! [U_305] : ~ ra_Px56(U_308,U_305) )
& ! [U_307] :
( ra_Px56(U_307,sK51(U_307))
| ~ cC164(U_307) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(U_304,sK51(U_307))],[f_69_3]) ).
cnf(f_69_5,plain,
( ra_Px56(U_307,sK51(U_307))
| ~ cC164(U_307) ),
inference(clausify,[status(thm)],[f_69_4]) ).
cnf(f_69_6,plain,
( cC164(U_308)
| ~ ra_Px56(U_308,U_305) ),
inference(clausify,[status(thm)],[f_69_4]) ).
fof(f_70_1,plain,
! [X] :
( ( cC164xcomp(X)
| ? [Y] : ra_Px56(X,Y) )
& ( ! [Y] : ~ ra_Px56(X,Y)
| ~ cC164xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_69]) ).
fof(f_70_2,plain,
! [U_311] :
( ( cC164xcomp(U_311)
| ? [U_310] : ra_Px56(U_311,U_310) )
& ( ! [U_309] : ~ ra_Px56(U_311,U_309)
| ~ cC164xcomp(U_311) ) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
( ! [U_313] :
( cC164xcomp(U_313)
| ? [U_310] : ra_Px56(U_313,U_310) )
& ! [U_312] :
( ! [U_309] : ~ ra_Px56(U_312,U_309)
| ~ cC164xcomp(U_312) ) ),
inference(miniscope,[status(thm)],[f_70_2]) ).
fof(f_70_4,plain,
( ! [U_313] :
( cC164xcomp(U_313)
| ra_Px56(U_313,sK52(U_313)) )
& ! [U_312] :
( ! [U_309] : ~ ra_Px56(U_312,U_309)
| ~ cC164xcomp(U_312) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(U_310,sK52(U_313))],[f_70_3]) ).
cnf(f_70_5,plain,
( ~ ra_Px56(U_312,U_309)
| ~ cC164xcomp(U_312) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_6,plain,
( cC164xcomp(U_313)
| ra_Px56(U_313,sK52(U_313)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
fof(f_71_1,plain,
! [X] :
( ( cC166(X)
| ~ cC154(X)
| ~ cC164xcomp(X) )
& ( ( cC154(X)
& cC164xcomp(X) )
| ~ cC166(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_70]) ).
fof(f_71_2,plain,
! [U_314] :
( ( cC166(U_314)
| ~ cC154(U_314)
| ~ cC164xcomp(U_314) )
& ( ( cC154(U_314)
& cC164xcomp(U_314) )
| ~ cC166(U_314) ) ),
inference(variable_rename,[status(thm)],[f_71_1]) ).
fof(f_71_3,plain,
( ! [U_316] :
( cC166(U_316)
| ~ cC154(U_316)
| ~ cC164xcomp(U_316) )
& ! [U_315] :
( ( cC154(U_315)
& cC164xcomp(U_315) )
| ~ cC166(U_315) ) ),
inference(miniscope,[status(thm)],[f_71_2]) ).
cnf(f_71_4,plain,
( cC164xcomp(U_315)
| ~ cC166(U_315) ),
inference(clausify,[status(thm)],[f_71_3]) ).
cnf(f_71_5,plain,
( cC154(U_315)
| ~ cC166(U_315) ),
inference(clausify,[status(thm)],[f_71_3]) ).
cnf(f_71_6,plain,
( cC166(U_316)
| ~ cC154(U_316)
| ~ cC164xcomp(U_316) ),
inference(clausify,[status(thm)],[f_71_3]) ).
fof(f_72_1,plain,
! [X] :
( ( cC166(X)
| ? [Y] : ra_Px58(X,Y) )
& ( ! [Y] : ~ ra_Px58(X,Y)
| ~ cC166(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_71]) ).
fof(f_72_2,plain,
! [U_319] :
( ( cC166(U_319)
| ? [U_318] : ra_Px58(U_319,U_318) )
& ( ! [U_317] : ~ ra_Px58(U_319,U_317)
| ~ cC166(U_319) ) ),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
( ! [U_321] :
( cC166(U_321)
| ? [U_318] : ra_Px58(U_321,U_318) )
& ! [U_320] :
( ! [U_317] : ~ ra_Px58(U_320,U_317)
| ~ cC166(U_320) ) ),
inference(miniscope,[status(thm)],[f_72_2]) ).
fof(f_72_4,plain,
( ! [U_321] :
( cC166(U_321)
| ra_Px58(U_321,sK53(U_321)) )
& ! [U_320] :
( ! [U_317] : ~ ra_Px58(U_320,U_317)
| ~ cC166(U_320) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(U_318,sK53(U_321))],[f_72_3]) ).
cnf(f_72_5,plain,
( ~ ra_Px58(U_320,U_317)
| ~ cC166(U_320) ),
inference(clausify,[status(thm)],[f_72_4]) ).
cnf(f_72_6,plain,
( cC166(U_321)
| ra_Px58(U_321,sK53(U_321)) ),
inference(clausify,[status(thm)],[f_72_4]) ).
fof(f_73_1,plain,
! [X] :
( ( cC166xcomp(X)
| ! [Y0] : ~ ra_Px58(X,Y0) )
& ( ? [Y0] : ra_Px58(X,Y0)
| ~ cC166xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_72]) ).
fof(f_73_2,plain,
! [U_324] :
( ( cC166xcomp(U_324)
| ! [U_323] : ~ ra_Px58(U_324,U_323) )
& ( ? [U_322] : ra_Px58(U_324,U_322)
| ~ cC166xcomp(U_324) ) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
( ! [U_326] :
( cC166xcomp(U_326)
| ! [U_323] : ~ ra_Px58(U_326,U_323) )
& ! [U_325] :
( ? [U_322] : ra_Px58(U_325,U_322)
| ~ cC166xcomp(U_325) ) ),
inference(miniscope,[status(thm)],[f_73_2]) ).
fof(f_73_4,plain,
( ! [U_326] :
( cC166xcomp(U_326)
| ! [U_323] : ~ ra_Px58(U_326,U_323) )
& ! [U_325] :
( ra_Px58(U_325,sK54(U_325))
| ~ cC166xcomp(U_325) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(U_322,sK54(U_325))],[f_73_3]) ).
cnf(f_73_5,plain,
( ra_Px58(U_325,sK54(U_325))
| ~ cC166xcomp(U_325) ),
inference(clausify,[status(thm)],[f_73_4]) ).
cnf(f_73_6,plain,
( cC166xcomp(U_326)
| ~ ra_Px58(U_326,U_323) ),
inference(clausify,[status(thm)],[f_73_4]) ).
fof(f_74_1,plain,
! [X] :
( ( cC168(X)
| ~ cC166xcomp(X)
| ~ cC142xcomp(X) )
& ( ( cC166xcomp(X)
& cC142xcomp(X) )
| ~ cC168(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_73]) ).
fof(f_74_2,plain,
! [U_327] :
( ( cC168(U_327)
| ~ cC166xcomp(U_327)
| ~ cC142xcomp(U_327) )
& ( ( cC166xcomp(U_327)
& cC142xcomp(U_327) )
| ~ cC168(U_327) ) ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
( ! [U_329] :
( cC168(U_329)
| ~ cC166xcomp(U_329)
| ~ cC142xcomp(U_329) )
& ! [U_328] :
( ( cC166xcomp(U_328)
& cC142xcomp(U_328) )
| ~ cC168(U_328) ) ),
inference(miniscope,[status(thm)],[f_74_2]) ).
cnf(f_74_4,plain,
( cC142xcomp(U_328)
| ~ cC168(U_328) ),
inference(clausify,[status(thm)],[f_74_3]) ).
cnf(f_74_5,plain,
( cC166xcomp(U_328)
| ~ cC168(U_328) ),
inference(clausify,[status(thm)],[f_74_3]) ).
cnf(f_74_6,plain,
( cC168(U_329)
| ~ cC166xcomp(U_329)
| ~ cC142xcomp(U_329) ),
inference(clausify,[status(thm)],[f_74_3]) ).
fof(f_75_1,plain,
! [X] :
( ( cC168(X)
| ! [Y0] : ~ ra_Px59(X,Y0) )
& ( ? [Y0] : ra_Px59(X,Y0)
| ~ cC168(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_74]) ).
fof(f_75_2,plain,
! [U_332] :
( ( cC168(U_332)
| ! [U_331] : ~ ra_Px59(U_332,U_331) )
& ( ? [U_330] : ra_Px59(U_332,U_330)
| ~ cC168(U_332) ) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
( ! [U_334] :
( cC168(U_334)
| ! [U_331] : ~ ra_Px59(U_334,U_331) )
& ! [U_333] :
( ? [U_330] : ra_Px59(U_333,U_330)
| ~ cC168(U_333) ) ),
inference(miniscope,[status(thm)],[f_75_2]) ).
fof(f_75_4,plain,
( ! [U_334] :
( cC168(U_334)
| ! [U_331] : ~ ra_Px59(U_334,U_331) )
& ! [U_333] :
( ra_Px59(U_333,sK55(U_333))
| ~ cC168(U_333) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(U_330,sK55(U_333))],[f_75_3]) ).
cnf(f_75_5,plain,
( ra_Px59(U_333,sK55(U_333))
| ~ cC168(U_333) ),
inference(clausify,[status(thm)],[f_75_4]) ).
cnf(f_75_6,plain,
( cC168(U_334)
| ~ ra_Px59(U_334,U_331) ),
inference(clausify,[status(thm)],[f_75_4]) ).
fof(f_76_1,plain,
! [X] :
( ( cC168xcomp(X)
| ? [Y] : ra_Px59(X,Y) )
& ( ! [Y] : ~ ra_Px59(X,Y)
| ~ cC168xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_75]) ).
fof(f_76_2,plain,
! [U_337] :
( ( cC168xcomp(U_337)
| ? [U_336] : ra_Px59(U_337,U_336) )
& ( ! [U_335] : ~ ra_Px59(U_337,U_335)
| ~ cC168xcomp(U_337) ) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
fof(f_76_3,plain,
( ! [U_339] :
( cC168xcomp(U_339)
| ? [U_336] : ra_Px59(U_339,U_336) )
& ! [U_338] :
( ! [U_335] : ~ ra_Px59(U_338,U_335)
| ~ cC168xcomp(U_338) ) ),
inference(miniscope,[status(thm)],[f_76_2]) ).
fof(f_76_4,plain,
( ! [U_339] :
( cC168xcomp(U_339)
| ra_Px59(U_339,sK56(U_339)) )
& ! [U_338] :
( ! [U_335] : ~ ra_Px59(U_338,U_335)
| ~ cC168xcomp(U_338) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(U_336,sK56(U_339))],[f_76_3]) ).
cnf(f_76_5,plain,
( ~ ra_Px59(U_338,U_335)
| ~ cC168xcomp(U_338) ),
inference(clausify,[status(thm)],[f_76_4]) ).
cnf(f_76_6,plain,
( cC168xcomp(U_339)
| ra_Px59(U_339,sK56(U_339)) ),
inference(clausify,[status(thm)],[f_76_4]) ).
fof(f_77_1,plain,
! [X] :
( ( cC170(X)
| ! [Y] :
( ~ cC168xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC168xcomp(Y)
& rR1(X,Y) )
| ~ cC170(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_76]) ).
fof(f_77_2,plain,
! [U_342] :
( ( cC170(U_342)
| ! [U_341] :
( ~ cC168xcomp(U_341)
| ~ rR1(U_342,U_341) ) )
& ( ? [U_340] :
( cC168xcomp(U_340)
& rR1(U_342,U_340) )
| ~ cC170(U_342) ) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
( ! [U_344] :
( cC170(U_344)
| ! [U_341] :
( ~ cC168xcomp(U_341)
| ~ rR1(U_344,U_341) ) )
& ! [U_343] :
( ? [U_340] :
( cC168xcomp(U_340)
& rR1(U_343,U_340) )
| ~ cC170(U_343) ) ),
inference(miniscope,[status(thm)],[f_77_2]) ).
fof(f_77_4,plain,
( ! [U_344] :
( cC170(U_344)
| ! [U_341] :
( ~ cC168xcomp(U_341)
| ~ rR1(U_344,U_341) ) )
& ! [U_343] :
( ( cC168xcomp(sK57(U_343))
& rR1(U_343,sK57(U_343)) )
| ~ cC170(U_343) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(U_340,sK57(U_343))],[f_77_3]) ).
cnf(f_77_5,plain,
( rR1(U_343,sK57(U_343))
| ~ cC170(U_343) ),
inference(clausify,[status(thm)],[f_77_4]) ).
cnf(f_77_6,plain,
( cC168xcomp(sK57(U_343))
| ~ cC170(U_343) ),
inference(clausify,[status(thm)],[f_77_4]) ).
cnf(f_77_7,plain,
( cC170(U_344)
| ~ cC168xcomp(U_341)
| ~ rR1(U_344,U_341) ),
inference(clausify,[status(thm)],[f_77_4]) ).
fof(f_78_1,plain,
! [X] :
( ( cC172(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC172(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_77]) ).
fof(f_78_2,plain,
! [U_347] :
( ( cC172(U_347)
| ! [U_346] :
( ~ cC16xcomp(U_346)
| ~ rR1(U_347,U_346) ) )
& ( ? [U_345] :
( cC16xcomp(U_345)
& rR1(U_347,U_345) )
| ~ cC172(U_347) ) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
fof(f_78_3,plain,
( ! [U_349] :
( cC172(U_349)
| ! [U_346] :
( ~ cC16xcomp(U_346)
| ~ rR1(U_349,U_346) ) )
& ! [U_348] :
( ? [U_345] :
( cC16xcomp(U_345)
& rR1(U_348,U_345) )
| ~ cC172(U_348) ) ),
inference(miniscope,[status(thm)],[f_78_2]) ).
fof(f_78_4,plain,
( ! [U_349] :
( cC172(U_349)
| ! [U_346] :
( ~ cC16xcomp(U_346)
| ~ rR1(U_349,U_346) ) )
& ! [U_348] :
( ( cC16xcomp(sK58(U_348))
& rR1(U_348,sK58(U_348)) )
| ~ cC172(U_348) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(U_345,sK58(U_348))],[f_78_3]) ).
cnf(f_78_5,plain,
( rR1(U_348,sK58(U_348))
| ~ cC172(U_348) ),
inference(clausify,[status(thm)],[f_78_4]) ).
cnf(f_78_6,plain,
( cC16xcomp(sK58(U_348))
| ~ cC172(U_348) ),
inference(clausify,[status(thm)],[f_78_4]) ).
cnf(f_78_7,plain,
( cC172(U_349)
| ~ cC16xcomp(U_346)
| ~ rR1(U_349,U_346) ),
inference(clausify,[status(thm)],[f_78_4]) ).
fof(f_79_1,plain,
! [X] :
( ( cC174(X)
| ~ cC172(X)
| ~ cC16(X) )
& ( ( cC172(X)
& cC16(X) )
| ~ cC174(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_78]) ).
fof(f_79_2,plain,
! [U_350] :
( ( cC174(U_350)
| ~ cC172(U_350)
| ~ cC16(U_350) )
& ( ( cC172(U_350)
& cC16(U_350) )
| ~ cC174(U_350) ) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
fof(f_79_3,plain,
( ! [U_352] :
( cC174(U_352)
| ~ cC172(U_352)
| ~ cC16(U_352) )
& ! [U_351] :
( ( cC172(U_351)
& cC16(U_351) )
| ~ cC174(U_351) ) ),
inference(miniscope,[status(thm)],[f_79_2]) ).
cnf(f_79_4,plain,
( cC16(U_351)
| ~ cC174(U_351) ),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_5,plain,
( cC172(U_351)
| ~ cC174(U_351) ),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_6,plain,
( cC174(U_352)
| ~ cC172(U_352)
| ~ cC16(U_352) ),
inference(clausify,[status(thm)],[f_79_3]) ).
fof(f_80_1,plain,
! [X] :
( ( cC176(X)
| ! [Y0] : ~ ra_Px62(X,Y0) )
& ( ? [Y0] : ra_Px62(X,Y0)
| ~ cC176(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_79]) ).
fof(f_80_2,plain,
! [U_355] :
( ( cC176(U_355)
| ! [U_354] : ~ ra_Px62(U_355,U_354) )
& ( ? [U_353] : ra_Px62(U_355,U_353)
| ~ cC176(U_355) ) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
fof(f_80_3,plain,
( ! [U_357] :
( cC176(U_357)
| ! [U_354] : ~ ra_Px62(U_357,U_354) )
& ! [U_356] :
( ? [U_353] : ra_Px62(U_356,U_353)
| ~ cC176(U_356) ) ),
inference(miniscope,[status(thm)],[f_80_2]) ).
fof(f_80_4,plain,
( ! [U_357] :
( cC176(U_357)
| ! [U_354] : ~ ra_Px62(U_357,U_354) )
& ! [U_356] :
( ra_Px62(U_356,sK59(U_356))
| ~ cC176(U_356) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(U_353,sK59(U_356))],[f_80_3]) ).
cnf(f_80_5,plain,
( ra_Px62(U_356,sK59(U_356))
| ~ cC176(U_356) ),
inference(clausify,[status(thm)],[f_80_4]) ).
cnf(f_80_6,plain,
( cC176(U_357)
| ~ ra_Px62(U_357,U_354) ),
inference(clausify,[status(thm)],[f_80_4]) ).
fof(f_81_1,plain,
! [X] :
( ( cC176(X)
| ! [Y] :
( ~ cC174(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC174(Y)
& rR1(X,Y) )
| ~ cC176(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_80]) ).
fof(f_81_2,plain,
! [U_360] :
( ( cC176(U_360)
| ! [U_359] :
( ~ cC174(U_359)
| ~ rR1(U_360,U_359) ) )
& ( ? [U_358] :
( cC174(U_358)
& rR1(U_360,U_358) )
| ~ cC176(U_360) ) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
fof(f_81_3,plain,
( ! [U_362] :
( cC176(U_362)
| ! [U_359] :
( ~ cC174(U_359)
| ~ rR1(U_362,U_359) ) )
& ! [U_361] :
( ? [U_358] :
( cC174(U_358)
& rR1(U_361,U_358) )
| ~ cC176(U_361) ) ),
inference(miniscope,[status(thm)],[f_81_2]) ).
fof(f_81_4,plain,
( ! [U_362] :
( cC176(U_362)
| ! [U_359] :
( ~ cC174(U_359)
| ~ rR1(U_362,U_359) ) )
& ! [U_361] :
( ( cC174(sK60(U_361))
& rR1(U_361,sK60(U_361)) )
| ~ cC176(U_361) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(U_358,sK60(U_361))],[f_81_3]) ).
cnf(f_81_5,plain,
( rR1(U_361,sK60(U_361))
| ~ cC176(U_361) ),
inference(clausify,[status(thm)],[f_81_4]) ).
cnf(f_81_6,plain,
( cC174(sK60(U_361))
| ~ cC176(U_361) ),
inference(clausify,[status(thm)],[f_81_4]) ).
cnf(f_81_7,plain,
( cC176(U_362)
| ~ cC174(U_359)
| ~ rR1(U_362,U_359) ),
inference(clausify,[status(thm)],[f_81_4]) ).
fof(f_82_1,plain,
! [X] :
( ( cC176xcomp(X)
| ? [Y] : ra_Px62(X,Y) )
& ( ! [Y] : ~ ra_Px62(X,Y)
| ~ cC176xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_81]) ).
fof(f_82_2,plain,
! [U_365] :
( ( cC176xcomp(U_365)
| ? [U_364] : ra_Px62(U_365,U_364) )
& ( ! [U_363] : ~ ra_Px62(U_365,U_363)
| ~ cC176xcomp(U_365) ) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
fof(f_82_3,plain,
( ! [U_367] :
( cC176xcomp(U_367)
| ? [U_364] : ra_Px62(U_367,U_364) )
& ! [U_366] :
( ! [U_363] : ~ ra_Px62(U_366,U_363)
| ~ cC176xcomp(U_366) ) ),
inference(miniscope,[status(thm)],[f_82_2]) ).
fof(f_82_4,plain,
( ! [U_367] :
( cC176xcomp(U_367)
| ra_Px62(U_367,sK61(U_367)) )
& ! [U_366] :
( ! [U_363] : ~ ra_Px62(U_366,U_363)
| ~ cC176xcomp(U_366) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(U_364,sK61(U_367))],[f_82_3]) ).
cnf(f_82_5,plain,
( ~ ra_Px62(U_366,U_363)
| ~ cC176xcomp(U_366) ),
inference(clausify,[status(thm)],[f_82_4]) ).
cnf(f_82_6,plain,
( cC176xcomp(U_367)
| ra_Px62(U_367,sK61(U_367)) ),
inference(clausify,[status(thm)],[f_82_4]) ).
fof(f_83_1,plain,
! [X] :
( ( cC178(X)
| ? [Y] : ra_Px70(X,Y) )
& ( ! [Y] : ~ ra_Px70(X,Y)
| ~ cC178(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_82]) ).
fof(f_83_2,plain,
! [U_370] :
( ( cC178(U_370)
| ? [U_369] : ra_Px70(U_370,U_369) )
& ( ! [U_368] : ~ ra_Px70(U_370,U_368)
| ~ cC178(U_370) ) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
fof(f_83_3,plain,
( ! [U_372] :
( cC178(U_372)
| ? [U_369] : ra_Px70(U_372,U_369) )
& ! [U_371] :
( ! [U_368] : ~ ra_Px70(U_371,U_368)
| ~ cC178(U_371) ) ),
inference(miniscope,[status(thm)],[f_83_2]) ).
fof(f_83_4,plain,
( ! [U_372] :
( cC178(U_372)
| ra_Px70(U_372,sK62(U_372)) )
& ! [U_371] :
( ! [U_368] : ~ ra_Px70(U_371,U_368)
| ~ cC178(U_371) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(U_369,sK62(U_372))],[f_83_3]) ).
cnf(f_83_5,plain,
( ~ ra_Px70(U_371,U_368)
| ~ cC178(U_371) ),
inference(clausify,[status(thm)],[f_83_4]) ).
cnf(f_83_6,plain,
( cC178(U_372)
| ra_Px70(U_372,sK62(U_372)) ),
inference(clausify,[status(thm)],[f_83_4]) ).
fof(f_84_1,plain,
! [X] :
( ( cC178(X)
| ~ cC176xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC176xcomp(X)
& cC16xcomp(X) )
| ~ cC178(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_83]) ).
fof(f_84_2,plain,
! [U_373] :
( ( cC178(U_373)
| ~ cC176xcomp(U_373)
| ~ cC16xcomp(U_373) )
& ( ( cC176xcomp(U_373)
& cC16xcomp(U_373) )
| ~ cC178(U_373) ) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
fof(f_84_3,plain,
( ! [U_375] :
( cC178(U_375)
| ~ cC176xcomp(U_375)
| ~ cC16xcomp(U_375) )
& ! [U_374] :
( ( cC176xcomp(U_374)
& cC16xcomp(U_374) )
| ~ cC178(U_374) ) ),
inference(miniscope,[status(thm)],[f_84_2]) ).
cnf(f_84_4,plain,
( cC16xcomp(U_374)
| ~ cC178(U_374) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_5,plain,
( cC176xcomp(U_374)
| ~ cC178(U_374) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_6,plain,
( cC178(U_375)
| ~ cC176xcomp(U_375)
| ~ cC16xcomp(U_375) ),
inference(clausify,[status(thm)],[f_84_3]) ).
fof(f_85_1,plain,
! [X] :
( ( cC178xcomp(X)
| ! [Y0] : ~ ra_Px70(X,Y0) )
& ( ? [Y0] : ra_Px70(X,Y0)
| ~ cC178xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_84]) ).
fof(f_85_2,plain,
! [U_378] :
( ( cC178xcomp(U_378)
| ! [U_377] : ~ ra_Px70(U_378,U_377) )
& ( ? [U_376] : ra_Px70(U_378,U_376)
| ~ cC178xcomp(U_378) ) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
fof(f_85_3,plain,
( ! [U_380] :
( cC178xcomp(U_380)
| ! [U_377] : ~ ra_Px70(U_380,U_377) )
& ! [U_379] :
( ? [U_376] : ra_Px70(U_379,U_376)
| ~ cC178xcomp(U_379) ) ),
inference(miniscope,[status(thm)],[f_85_2]) ).
fof(f_85_4,plain,
( ! [U_380] :
( cC178xcomp(U_380)
| ! [U_377] : ~ ra_Px70(U_380,U_377) )
& ! [U_379] :
( ra_Px70(U_379,sK63(U_379))
| ~ cC178xcomp(U_379) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(U_376,sK63(U_379))],[f_85_3]) ).
cnf(f_85_5,plain,
( ra_Px70(U_379,sK63(U_379))
| ~ cC178xcomp(U_379) ),
inference(clausify,[status(thm)],[f_85_4]) ).
cnf(f_85_6,plain,
( cC178xcomp(U_380)
| ~ ra_Px70(U_380,U_377) ),
inference(clausify,[status(thm)],[f_85_4]) ).
fof(f_86_1,plain,
! [X] :
( ( cC18(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC18(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_85]) ).
fof(f_86_2,plain,
! [U_383] :
( ( cC18(U_383)
| ! [U_382] :
( ~ cC16xcomp(U_382)
| ~ rR1(U_383,U_382) ) )
& ( ? [U_381] :
( cC16xcomp(U_381)
& rR1(U_383,U_381) )
| ~ cC18(U_383) ) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
fof(f_86_3,plain,
( ! [U_385] :
( cC18(U_385)
| ! [U_382] :
( ~ cC16xcomp(U_382)
| ~ rR1(U_385,U_382) ) )
& ! [U_384] :
( ? [U_381] :
( cC16xcomp(U_381)
& rR1(U_384,U_381) )
| ~ cC18(U_384) ) ),
inference(miniscope,[status(thm)],[f_86_2]) ).
fof(f_86_4,plain,
( ! [U_385] :
( cC18(U_385)
| ! [U_382] :
( ~ cC16xcomp(U_382)
| ~ rR1(U_385,U_382) ) )
& ! [U_384] :
( ( cC16xcomp(sK64(U_384))
& rR1(U_384,sK64(U_384)) )
| ~ cC18(U_384) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(U_381,sK64(U_384))],[f_86_3]) ).
cnf(f_86_5,plain,
( rR1(U_384,sK64(U_384))
| ~ cC18(U_384) ),
inference(clausify,[status(thm)],[f_86_4]) ).
cnf(f_86_6,plain,
( cC16xcomp(sK64(U_384))
| ~ cC18(U_384) ),
inference(clausify,[status(thm)],[f_86_4]) ).
cnf(f_86_7,plain,
( cC18(U_385)
| ~ cC16xcomp(U_382)
| ~ rR1(U_385,U_382) ),
inference(clausify,[status(thm)],[f_86_4]) ).
fof(f_87_1,plain,
! [X] :
( ( cC180(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC180(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_86]) ).
fof(f_87_2,plain,
! [U_388] :
( ( cC180(U_388)
| ! [U_387] :
( ~ cC16xcomp(U_387)
| ~ rR1(U_388,U_387) ) )
& ( ? [U_386] :
( cC16xcomp(U_386)
& rR1(U_388,U_386) )
| ~ cC180(U_388) ) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
( ! [U_390] :
( cC180(U_390)
| ! [U_387] :
( ~ cC16xcomp(U_387)
| ~ rR1(U_390,U_387) ) )
& ! [U_389] :
( ? [U_386] :
( cC16xcomp(U_386)
& rR1(U_389,U_386) )
| ~ cC180(U_389) ) ),
inference(miniscope,[status(thm)],[f_87_2]) ).
fof(f_87_4,plain,
( ! [U_390] :
( cC180(U_390)
| ! [U_387] :
( ~ cC16xcomp(U_387)
| ~ rR1(U_390,U_387) ) )
& ! [U_389] :
( ( cC16xcomp(sK65(U_389))
& rR1(U_389,sK65(U_389)) )
| ~ cC180(U_389) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(U_386,sK65(U_389))],[f_87_3]) ).
cnf(f_87_5,plain,
( rR1(U_389,sK65(U_389))
| ~ cC180(U_389) ),
inference(clausify,[status(thm)],[f_87_4]) ).
cnf(f_87_6,plain,
( cC16xcomp(sK65(U_389))
| ~ cC180(U_389) ),
inference(clausify,[status(thm)],[f_87_4]) ).
cnf(f_87_7,plain,
( cC180(U_390)
| ~ cC16xcomp(U_387)
| ~ rR1(U_390,U_387) ),
inference(clausify,[status(thm)],[f_87_4]) ).
fof(f_88_1,plain,
! [X] :
( ( cC182(X)
| ~ cC180(X)
| ~ cC16(X) )
& ( ( cC180(X)
& cC16(X) )
| ~ cC182(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_87]) ).
fof(f_88_2,plain,
! [U_391] :
( ( cC182(U_391)
| ~ cC180(U_391)
| ~ cC16(U_391) )
& ( ( cC180(U_391)
& cC16(U_391) )
| ~ cC182(U_391) ) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
( ! [U_393] :
( cC182(U_393)
| ~ cC180(U_393)
| ~ cC16(U_393) )
& ! [U_392] :
( ( cC180(U_392)
& cC16(U_392) )
| ~ cC182(U_392) ) ),
inference(miniscope,[status(thm)],[f_88_2]) ).
cnf(f_88_4,plain,
( cC16(U_392)
| ~ cC182(U_392) ),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_5,plain,
( cC180(U_392)
| ~ cC182(U_392) ),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_6,plain,
( cC182(U_393)
| ~ cC180(U_393)
| ~ cC16(U_393) ),
inference(clausify,[status(thm)],[f_88_3]) ).
fof(f_89_1,plain,
! [X] :
( ( cC184(X)
| ! [Y0] : ~ ra_Px65(X,Y0) )
& ( ? [Y0] : ra_Px65(X,Y0)
| ~ cC184(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_88]) ).
fof(f_89_2,plain,
! [U_396] :
( ( cC184(U_396)
| ! [U_395] : ~ ra_Px65(U_396,U_395) )
& ( ? [U_394] : ra_Px65(U_396,U_394)
| ~ cC184(U_396) ) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
fof(f_89_3,plain,
( ! [U_398] :
( cC184(U_398)
| ! [U_395] : ~ ra_Px65(U_398,U_395) )
& ! [U_397] :
( ? [U_394] : ra_Px65(U_397,U_394)
| ~ cC184(U_397) ) ),
inference(miniscope,[status(thm)],[f_89_2]) ).
fof(f_89_4,plain,
( ! [U_398] :
( cC184(U_398)
| ! [U_395] : ~ ra_Px65(U_398,U_395) )
& ! [U_397] :
( ra_Px65(U_397,sK66(U_397))
| ~ cC184(U_397) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66]),skolemize(U_394,sK66(U_397))],[f_89_3]) ).
cnf(f_89_5,plain,
( ra_Px65(U_397,sK66(U_397))
| ~ cC184(U_397) ),
inference(clausify,[status(thm)],[f_89_4]) ).
cnf(f_89_6,plain,
( cC184(U_398)
| ~ ra_Px65(U_398,U_395) ),
inference(clausify,[status(thm)],[f_89_4]) ).
fof(f_90_1,plain,
! [X] :
( ( cC184(X)
| ! [Y] :
( ~ cC182(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC182(Y)
& rR1(X,Y) )
| ~ cC184(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_89]) ).
fof(f_90_2,plain,
! [U_401] :
( ( cC184(U_401)
| ! [U_400] :
( ~ cC182(U_400)
| ~ rR1(U_401,U_400) ) )
& ( ? [U_399] :
( cC182(U_399)
& rR1(U_401,U_399) )
| ~ cC184(U_401) ) ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
( ! [U_403] :
( cC184(U_403)
| ! [U_400] :
( ~ cC182(U_400)
| ~ rR1(U_403,U_400) ) )
& ! [U_402] :
( ? [U_399] :
( cC182(U_399)
& rR1(U_402,U_399) )
| ~ cC184(U_402) ) ),
inference(miniscope,[status(thm)],[f_90_2]) ).
fof(f_90_4,plain,
( ! [U_403] :
( cC184(U_403)
| ! [U_400] :
( ~ cC182(U_400)
| ~ rR1(U_403,U_400) ) )
& ! [U_402] :
( ( cC182(sK67(U_402))
& rR1(U_402,sK67(U_402)) )
| ~ cC184(U_402) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(U_399,sK67(U_402))],[f_90_3]) ).
cnf(f_90_5,plain,
( rR1(U_402,sK67(U_402))
| ~ cC184(U_402) ),
inference(clausify,[status(thm)],[f_90_4]) ).
cnf(f_90_6,plain,
( cC182(sK67(U_402))
| ~ cC184(U_402) ),
inference(clausify,[status(thm)],[f_90_4]) ).
cnf(f_90_7,plain,
( cC184(U_403)
| ~ cC182(U_400)
| ~ rR1(U_403,U_400) ),
inference(clausify,[status(thm)],[f_90_4]) ).
fof(f_91_1,plain,
! [X] :
( ( cC184xcomp(X)
| ? [Y] : ra_Px65(X,Y) )
& ( ! [Y] : ~ ra_Px65(X,Y)
| ~ cC184xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_90]) ).
fof(f_91_2,plain,
! [U_406] :
( ( cC184xcomp(U_406)
| ? [U_405] : ra_Px65(U_406,U_405) )
& ( ! [U_404] : ~ ra_Px65(U_406,U_404)
| ~ cC184xcomp(U_406) ) ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
( ! [U_408] :
( cC184xcomp(U_408)
| ? [U_405] : ra_Px65(U_408,U_405) )
& ! [U_407] :
( ! [U_404] : ~ ra_Px65(U_407,U_404)
| ~ cC184xcomp(U_407) ) ),
inference(miniscope,[status(thm)],[f_91_2]) ).
fof(f_91_4,plain,
( ! [U_408] :
( cC184xcomp(U_408)
| ra_Px65(U_408,sK68(U_408)) )
& ! [U_407] :
( ! [U_404] : ~ ra_Px65(U_407,U_404)
| ~ cC184xcomp(U_407) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(U_405,sK68(U_408))],[f_91_3]) ).
cnf(f_91_5,plain,
( ~ ra_Px65(U_407,U_404)
| ~ cC184xcomp(U_407) ),
inference(clausify,[status(thm)],[f_91_4]) ).
cnf(f_91_6,plain,
( cC184xcomp(U_408)
| ra_Px65(U_408,sK68(U_408)) ),
inference(clausify,[status(thm)],[f_91_4]) ).
fof(f_92_1,plain,
! [X] :
( ( cC186(X)
| ~ cC184xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC184xcomp(X)
& cC16xcomp(X) )
| ~ cC186(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_91]) ).
fof(f_92_2,plain,
! [U_409] :
( ( cC186(U_409)
| ~ cC184xcomp(U_409)
| ~ cC16xcomp(U_409) )
& ( ( cC184xcomp(U_409)
& cC16xcomp(U_409) )
| ~ cC186(U_409) ) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
( ! [U_411] :
( cC186(U_411)
| ~ cC184xcomp(U_411)
| ~ cC16xcomp(U_411) )
& ! [U_410] :
( ( cC184xcomp(U_410)
& cC16xcomp(U_410) )
| ~ cC186(U_410) ) ),
inference(miniscope,[status(thm)],[f_92_2]) ).
cnf(f_92_4,plain,
( cC16xcomp(U_410)
| ~ cC186(U_410) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_5,plain,
( cC184xcomp(U_410)
| ~ cC186(U_410) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_6,plain,
( cC186(U_411)
| ~ cC184xcomp(U_411)
| ~ cC16xcomp(U_411) ),
inference(clausify,[status(thm)],[f_92_3]) ).
fof(f_93_1,plain,
! [X] :
( ( cC188(X)
| ! [Y] :
( ~ cC186(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC186(Y)
& rR1(X,Y) )
| ~ cC188(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_92]) ).
fof(f_93_2,plain,
! [U_414] :
( ( cC188(U_414)
| ! [U_413] :
( ~ cC186(U_413)
| ~ rR1(U_414,U_413) ) )
& ( ? [U_412] :
( cC186(U_412)
& rR1(U_414,U_412) )
| ~ cC188(U_414) ) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
( ! [U_416] :
( cC188(U_416)
| ! [U_413] :
( ~ cC186(U_413)
| ~ rR1(U_416,U_413) ) )
& ! [U_415] :
( ? [U_412] :
( cC186(U_412)
& rR1(U_415,U_412) )
| ~ cC188(U_415) ) ),
inference(miniscope,[status(thm)],[f_93_2]) ).
fof(f_93_4,plain,
( ! [U_416] :
( cC188(U_416)
| ! [U_413] :
( ~ cC186(U_413)
| ~ rR1(U_416,U_413) ) )
& ! [U_415] :
( ( cC186(sK69(U_415))
& rR1(U_415,sK69(U_415)) )
| ~ cC188(U_415) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(U_412,sK69(U_415))],[f_93_3]) ).
cnf(f_93_5,plain,
( rR1(U_415,sK69(U_415))
| ~ cC188(U_415) ),
inference(clausify,[status(thm)],[f_93_4]) ).
cnf(f_93_6,plain,
( cC186(sK69(U_415))
| ~ cC188(U_415) ),
inference(clausify,[status(thm)],[f_93_4]) ).
cnf(f_93_7,plain,
( cC188(U_416)
| ~ cC186(U_413)
| ~ rR1(U_416,U_413) ),
inference(clausify,[status(thm)],[f_93_4]) ).
fof(f_94_1,plain,
! [X] :
( ( cC190(X)
| ! [Y] :
( ~ cC188(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC188(Y)
& rR1(X,Y) )
| ~ cC190(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_93]) ).
fof(f_94_2,plain,
! [U_419] :
( ( cC190(U_419)
| ! [U_418] :
( ~ cC188(U_418)
| ~ rR1(U_419,U_418) ) )
& ( ? [U_417] :
( cC188(U_417)
& rR1(U_419,U_417) )
| ~ cC190(U_419) ) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
( ! [U_421] :
( cC190(U_421)
| ! [U_418] :
( ~ cC188(U_418)
| ~ rR1(U_421,U_418) ) )
& ! [U_420] :
( ? [U_417] :
( cC188(U_417)
& rR1(U_420,U_417) )
| ~ cC190(U_420) ) ),
inference(miniscope,[status(thm)],[f_94_2]) ).
fof(f_94_4,plain,
( ! [U_421] :
( cC190(U_421)
| ! [U_418] :
( ~ cC188(U_418)
| ~ rR1(U_421,U_418) ) )
& ! [U_420] :
( ( cC188(sK70(U_420))
& rR1(U_420,sK70(U_420)) )
| ~ cC190(U_420) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(U_417,sK70(U_420))],[f_94_3]) ).
cnf(f_94_5,plain,
( rR1(U_420,sK70(U_420))
| ~ cC190(U_420) ),
inference(clausify,[status(thm)],[f_94_4]) ).
cnf(f_94_6,plain,
( cC188(sK70(U_420))
| ~ cC190(U_420) ),
inference(clausify,[status(thm)],[f_94_4]) ).
cnf(f_94_7,plain,
( cC190(U_421)
| ~ cC188(U_418)
| ~ rR1(U_421,U_418) ),
inference(clausify,[status(thm)],[f_94_4]) ).
fof(f_95_1,plain,
! [X] :
( ( cC192(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC192(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_94]) ).
fof(f_95_2,plain,
! [U_424] :
( ( cC192(U_424)
| ! [U_423] :
( ~ cC16xcomp(U_423)
| ~ rR1(U_424,U_423) ) )
& ( ? [U_422] :
( cC16xcomp(U_422)
& rR1(U_424,U_422) )
| ~ cC192(U_424) ) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
( ! [U_426] :
( cC192(U_426)
| ! [U_423] :
( ~ cC16xcomp(U_423)
| ~ rR1(U_426,U_423) ) )
& ! [U_425] :
( ? [U_422] :
( cC16xcomp(U_422)
& rR1(U_425,U_422) )
| ~ cC192(U_425) ) ),
inference(miniscope,[status(thm)],[f_95_2]) ).
fof(f_95_4,plain,
( ! [U_426] :
( cC192(U_426)
| ! [U_423] :
( ~ cC16xcomp(U_423)
| ~ rR1(U_426,U_423) ) )
& ! [U_425] :
( ( cC16xcomp(sK71(U_425))
& rR1(U_425,sK71(U_425)) )
| ~ cC192(U_425) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(U_422,sK71(U_425))],[f_95_3]) ).
cnf(f_95_5,plain,
( rR1(U_425,sK71(U_425))
| ~ cC192(U_425) ),
inference(clausify,[status(thm)],[f_95_4]) ).
cnf(f_95_6,plain,
( cC16xcomp(sK71(U_425))
| ~ cC192(U_425) ),
inference(clausify,[status(thm)],[f_95_4]) ).
cnf(f_95_7,plain,
( cC192(U_426)
| ~ cC16xcomp(U_423)
| ~ rR1(U_426,U_423) ),
inference(clausify,[status(thm)],[f_95_4]) ).
fof(f_96_1,plain,
! [X] :
( ( cC194(X)
| ~ cC192(X)
| ~ cC16(X) )
& ( ( cC192(X)
& cC16(X) )
| ~ cC194(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_95]) ).
fof(f_96_2,plain,
! [U_427] :
( ( cC194(U_427)
| ~ cC192(U_427)
| ~ cC16(U_427) )
& ( ( cC192(U_427)
& cC16(U_427) )
| ~ cC194(U_427) ) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
( ! [U_429] :
( cC194(U_429)
| ~ cC192(U_429)
| ~ cC16(U_429) )
& ! [U_428] :
( ( cC192(U_428)
& cC16(U_428) )
| ~ cC194(U_428) ) ),
inference(miniscope,[status(thm)],[f_96_2]) ).
cnf(f_96_4,plain,
( cC16(U_428)
| ~ cC194(U_428) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_5,plain,
( cC192(U_428)
| ~ cC194(U_428) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_6,plain,
( cC194(U_429)
| ~ cC192(U_429)
| ~ cC16(U_429) ),
inference(clausify,[status(thm)],[f_96_3]) ).
fof(f_97_1,plain,
! [X] :
( ( cC196(X)
| ! [Y0] : ~ ra_Px68(X,Y0) )
& ( ? [Y0] : ra_Px68(X,Y0)
| ~ cC196(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_96]) ).
fof(f_97_2,plain,
! [U_432] :
( ( cC196(U_432)
| ! [U_431] : ~ ra_Px68(U_432,U_431) )
& ( ? [U_430] : ra_Px68(U_432,U_430)
| ~ cC196(U_432) ) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
( ! [U_434] :
( cC196(U_434)
| ! [U_431] : ~ ra_Px68(U_434,U_431) )
& ! [U_433] :
( ? [U_430] : ra_Px68(U_433,U_430)
| ~ cC196(U_433) ) ),
inference(miniscope,[status(thm)],[f_97_2]) ).
fof(f_97_4,plain,
( ! [U_434] :
( cC196(U_434)
| ! [U_431] : ~ ra_Px68(U_434,U_431) )
& ! [U_433] :
( ra_Px68(U_433,sK72(U_433))
| ~ cC196(U_433) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(U_430,sK72(U_433))],[f_97_3]) ).
cnf(f_97_5,plain,
( ra_Px68(U_433,sK72(U_433))
| ~ cC196(U_433) ),
inference(clausify,[status(thm)],[f_97_4]) ).
cnf(f_97_6,plain,
( cC196(U_434)
| ~ ra_Px68(U_434,U_431) ),
inference(clausify,[status(thm)],[f_97_4]) ).
fof(f_98_1,plain,
! [X] :
( ( cC196(X)
| ! [Y] :
( ~ cC194(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC194(Y)
& rR1(X,Y) )
| ~ cC196(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_97]) ).
fof(f_98_2,plain,
! [U_437] :
( ( cC196(U_437)
| ! [U_436] :
( ~ cC194(U_436)
| ~ rR1(U_437,U_436) ) )
& ( ? [U_435] :
( cC194(U_435)
& rR1(U_437,U_435) )
| ~ cC196(U_437) ) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
fof(f_98_3,plain,
( ! [U_439] :
( cC196(U_439)
| ! [U_436] :
( ~ cC194(U_436)
| ~ rR1(U_439,U_436) ) )
& ! [U_438] :
( ? [U_435] :
( cC194(U_435)
& rR1(U_438,U_435) )
| ~ cC196(U_438) ) ),
inference(miniscope,[status(thm)],[f_98_2]) ).
fof(f_98_4,plain,
( ! [U_439] :
( cC196(U_439)
| ! [U_436] :
( ~ cC194(U_436)
| ~ rR1(U_439,U_436) ) )
& ! [U_438] :
( ( cC194(sK73(U_438))
& rR1(U_438,sK73(U_438)) )
| ~ cC196(U_438) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(U_435,sK73(U_438))],[f_98_3]) ).
cnf(f_98_5,plain,
( rR1(U_438,sK73(U_438))
| ~ cC196(U_438) ),
inference(clausify,[status(thm)],[f_98_4]) ).
cnf(f_98_6,plain,
( cC194(sK73(U_438))
| ~ cC196(U_438) ),
inference(clausify,[status(thm)],[f_98_4]) ).
cnf(f_98_7,plain,
( cC196(U_439)
| ~ cC194(U_436)
| ~ rR1(U_439,U_436) ),
inference(clausify,[status(thm)],[f_98_4]) ).
fof(f_99_1,plain,
! [X] :
( ( cC196xcomp(X)
| ? [Y] : ra_Px68(X,Y) )
& ( ! [Y] : ~ ra_Px68(X,Y)
| ~ cC196xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_98]) ).
fof(f_99_2,plain,
! [U_442] :
( ( cC196xcomp(U_442)
| ? [U_441] : ra_Px68(U_442,U_441) )
& ( ! [U_440] : ~ ra_Px68(U_442,U_440)
| ~ cC196xcomp(U_442) ) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
( ! [U_444] :
( cC196xcomp(U_444)
| ? [U_441] : ra_Px68(U_444,U_441) )
& ! [U_443] :
( ! [U_440] : ~ ra_Px68(U_443,U_440)
| ~ cC196xcomp(U_443) ) ),
inference(miniscope,[status(thm)],[f_99_2]) ).
fof(f_99_4,plain,
( ! [U_444] :
( cC196xcomp(U_444)
| ra_Px68(U_444,sK74(U_444)) )
& ! [U_443] :
( ! [U_440] : ~ ra_Px68(U_443,U_440)
| ~ cC196xcomp(U_443) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74]),skolemize(U_441,sK74(U_444))],[f_99_3]) ).
cnf(f_99_5,plain,
( ~ ra_Px68(U_443,U_440)
| ~ cC196xcomp(U_443) ),
inference(clausify,[status(thm)],[f_99_4]) ).
cnf(f_99_6,plain,
( cC196xcomp(U_444)
| ra_Px68(U_444,sK74(U_444)) ),
inference(clausify,[status(thm)],[f_99_4]) ).
fof(f_100_1,plain,
! [X] :
( ( cC198(X)
| ~ cC196xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC196xcomp(X)
& cC16xcomp(X) )
| ~ cC198(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_99]) ).
fof(f_100_2,plain,
! [U_445] :
( ( cC198(U_445)
| ~ cC196xcomp(U_445)
| ~ cC16xcomp(U_445) )
& ( ( cC196xcomp(U_445)
& cC16xcomp(U_445) )
| ~ cC198(U_445) ) ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
( ! [U_447] :
( cC198(U_447)
| ~ cC196xcomp(U_447)
| ~ cC16xcomp(U_447) )
& ! [U_446] :
( ( cC196xcomp(U_446)
& cC16xcomp(U_446) )
| ~ cC198(U_446) ) ),
inference(miniscope,[status(thm)],[f_100_2]) ).
cnf(f_100_4,plain,
( cC16xcomp(U_446)
| ~ cC198(U_446) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_5,plain,
( cC196xcomp(U_446)
| ~ cC198(U_446) ),
inference(clausify,[status(thm)],[f_100_3]) ).
cnf(f_100_6,plain,
( cC198(U_447)
| ~ cC196xcomp(U_447)
| ~ cC16xcomp(U_447) ),
inference(clausify,[status(thm)],[f_100_3]) ).
fof(f_101_1,plain,
! [X] :
( ( cC2(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cC2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_100]) ).
fof(f_101_2,plain,
! [U_450] :
( ( cC2(U_450)
| ? [U_449] : ra_Px1(U_450,U_449) )
& ( ! [U_448] : ~ ra_Px1(U_450,U_448)
| ~ cC2(U_450) ) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
( ! [U_452] :
( cC2(U_452)
| ? [U_449] : ra_Px1(U_452,U_449) )
& ! [U_451] :
( ! [U_448] : ~ ra_Px1(U_451,U_448)
| ~ cC2(U_451) ) ),
inference(miniscope,[status(thm)],[f_101_2]) ).
fof(f_101_4,plain,
( ! [U_452] :
( cC2(U_452)
| ra_Px1(U_452,sK75(U_452)) )
& ! [U_451] :
( ! [U_448] : ~ ra_Px1(U_451,U_448)
| ~ cC2(U_451) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(U_449,sK75(U_452))],[f_101_3]) ).
cnf(f_101_5,plain,
( ~ ra_Px1(U_451,U_448)
| ~ cC2(U_451) ),
inference(clausify,[status(thm)],[f_101_4]) ).
cnf(f_101_6,plain,
( cC2(U_452)
| ra_Px1(U_452,sK75(U_452)) ),
inference(clausify,[status(thm)],[f_101_4]) ).
fof(f_102_1,plain,
! [X] :
( ( cC2xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cC2xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_101]) ).
fof(f_102_2,plain,
! [U_455] :
( ( cC2xcomp(U_455)
| ! [U_454] : ~ ra_Px1(U_455,U_454) )
& ( ? [U_453] : ra_Px1(U_455,U_453)
| ~ cC2xcomp(U_455) ) ),
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
( ! [U_457] :
( cC2xcomp(U_457)
| ! [U_454] : ~ ra_Px1(U_457,U_454) )
& ! [U_456] :
( ? [U_453] : ra_Px1(U_456,U_453)
| ~ cC2xcomp(U_456) ) ),
inference(miniscope,[status(thm)],[f_102_2]) ).
fof(f_102_4,plain,
( ! [U_457] :
( cC2xcomp(U_457)
| ! [U_454] : ~ ra_Px1(U_457,U_454) )
& ! [U_456] :
( ra_Px1(U_456,sK76(U_456))
| ~ cC2xcomp(U_456) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(U_453,sK76(U_456))],[f_102_3]) ).
cnf(f_102_5,plain,
( ra_Px1(U_456,sK76(U_456))
| ~ cC2xcomp(U_456) ),
inference(clausify,[status(thm)],[f_102_4]) ).
cnf(f_102_6,plain,
( cC2xcomp(U_457)
| ~ ra_Px1(U_457,U_454) ),
inference(clausify,[status(thm)],[f_102_4]) ).
fof(f_103_1,plain,
! [X] :
( ( cC20(X)
| ~ cC16(X)
| ~ cC18(X) )
& ( ( cC16(X)
& cC18(X) )
| ~ cC20(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_102]) ).
fof(f_103_2,plain,
! [U_458] :
( ( cC20(U_458)
| ~ cC16(U_458)
| ~ cC18(U_458) )
& ( ( cC16(U_458)
& cC18(U_458) )
| ~ cC20(U_458) ) ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
fof(f_103_3,plain,
( ! [U_460] :
( cC20(U_460)
| ~ cC16(U_460)
| ~ cC18(U_460) )
& ! [U_459] :
( ( cC16(U_459)
& cC18(U_459) )
| ~ cC20(U_459) ) ),
inference(miniscope,[status(thm)],[f_103_2]) ).
cnf(f_103_4,plain,
( cC18(U_459)
| ~ cC20(U_459) ),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_5,plain,
( cC16(U_459)
| ~ cC20(U_459) ),
inference(clausify,[status(thm)],[f_103_3]) ).
cnf(f_103_6,plain,
( cC20(U_460)
| ~ cC16(U_460)
| ~ cC18(U_460) ),
inference(clausify,[status(thm)],[f_103_3]) ).
fof(f_104_1,plain,
! [X] :
( ( cC200(X)
| ! [Y] :
( ~ cC198(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC198(Y)
& rR1(X,Y) )
| ~ cC200(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_103]) ).
fof(f_104_2,plain,
! [U_463] :
( ( cC200(U_463)
| ! [U_462] :
( ~ cC198(U_462)
| ~ rR1(U_463,U_462) ) )
& ( ? [U_461] :
( cC198(U_461)
& rR1(U_463,U_461) )
| ~ cC200(U_463) ) ),
inference(variable_rename,[status(thm)],[f_104_1]) ).
fof(f_104_3,plain,
( ! [U_465] :
( cC200(U_465)
| ! [U_462] :
( ~ cC198(U_462)
| ~ rR1(U_465,U_462) ) )
& ! [U_464] :
( ? [U_461] :
( cC198(U_461)
& rR1(U_464,U_461) )
| ~ cC200(U_464) ) ),
inference(miniscope,[status(thm)],[f_104_2]) ).
fof(f_104_4,plain,
( ! [U_465] :
( cC200(U_465)
| ! [U_462] :
( ~ cC198(U_462)
| ~ rR1(U_465,U_462) ) )
& ! [U_464] :
( ( cC198(sK77(U_464))
& rR1(U_464,sK77(U_464)) )
| ~ cC200(U_464) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(U_461,sK77(U_464))],[f_104_3]) ).
cnf(f_104_5,plain,
( rR1(U_464,sK77(U_464))
| ~ cC200(U_464) ),
inference(clausify,[status(thm)],[f_104_4]) ).
cnf(f_104_6,plain,
( cC198(sK77(U_464))
| ~ cC200(U_464) ),
inference(clausify,[status(thm)],[f_104_4]) ).
cnf(f_104_7,plain,
( cC200(U_465)
| ~ cC198(U_462)
| ~ rR1(U_465,U_462) ),
inference(clausify,[status(thm)],[f_104_4]) ).
fof(f_105_1,plain,
! [X] :
( ( cC200(X)
| ! [Y0] : ~ ra_Px69(X,Y0) )
& ( ? [Y0] : ra_Px69(X,Y0)
| ~ cC200(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_104]) ).
fof(f_105_2,plain,
! [U_468] :
( ( cC200(U_468)
| ! [U_467] : ~ ra_Px69(U_468,U_467) )
& ( ? [U_466] : ra_Px69(U_468,U_466)
| ~ cC200(U_468) ) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
( ! [U_470] :
( cC200(U_470)
| ! [U_467] : ~ ra_Px69(U_470,U_467) )
& ! [U_469] :
( ? [U_466] : ra_Px69(U_469,U_466)
| ~ cC200(U_469) ) ),
inference(miniscope,[status(thm)],[f_105_2]) ).
fof(f_105_4,plain,
( ! [U_470] :
( cC200(U_470)
| ! [U_467] : ~ ra_Px69(U_470,U_467) )
& ! [U_469] :
( ra_Px69(U_469,sK78(U_469))
| ~ cC200(U_469) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78]),skolemize(U_466,sK78(U_469))],[f_105_3]) ).
cnf(f_105_5,plain,
( ra_Px69(U_469,sK78(U_469))
| ~ cC200(U_469) ),
inference(clausify,[status(thm)],[f_105_4]) ).
cnf(f_105_6,plain,
( cC200(U_470)
| ~ ra_Px69(U_470,U_467) ),
inference(clausify,[status(thm)],[f_105_4]) ).
fof(f_106_1,plain,
! [X] :
( ( cC200xcomp(X)
| ? [Y] : ra_Px69(X,Y) )
& ( ! [Y] : ~ ra_Px69(X,Y)
| ~ cC200xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_105]) ).
fof(f_106_2,plain,
! [U_473] :
( ( cC200xcomp(U_473)
| ? [U_472] : ra_Px69(U_473,U_472) )
& ( ! [U_471] : ~ ra_Px69(U_473,U_471)
| ~ cC200xcomp(U_473) ) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
( ! [U_475] :
( cC200xcomp(U_475)
| ? [U_472] : ra_Px69(U_475,U_472) )
& ! [U_474] :
( ! [U_471] : ~ ra_Px69(U_474,U_471)
| ~ cC200xcomp(U_474) ) ),
inference(miniscope,[status(thm)],[f_106_2]) ).
fof(f_106_4,plain,
( ! [U_475] :
( cC200xcomp(U_475)
| ra_Px69(U_475,sK79(U_475)) )
& ! [U_474] :
( ! [U_471] : ~ ra_Px69(U_474,U_471)
| ~ cC200xcomp(U_474) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79]),skolemize(U_472,sK79(U_475))],[f_106_3]) ).
cnf(f_106_5,plain,
( ~ ra_Px69(U_474,U_471)
| ~ cC200xcomp(U_474) ),
inference(clausify,[status(thm)],[f_106_4]) ).
cnf(f_106_6,plain,
( cC200xcomp(U_475)
| ra_Px69(U_475,sK79(U_475)) ),
inference(clausify,[status(thm)],[f_106_4]) ).
fof(f_107_1,plain,
! [X] :
( ( cC202(X)
| ~ cC190(X)
| ~ cC200xcomp(X) )
& ( ( cC190(X)
& cC200xcomp(X) )
| ~ cC202(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_106]) ).
fof(f_107_2,plain,
! [U_476] :
( ( cC202(U_476)
| ~ cC190(U_476)
| ~ cC200xcomp(U_476) )
& ( ( cC190(U_476)
& cC200xcomp(U_476) )
| ~ cC202(U_476) ) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
fof(f_107_3,plain,
( ! [U_478] :
( cC202(U_478)
| ~ cC190(U_478)
| ~ cC200xcomp(U_478) )
& ! [U_477] :
( ( cC190(U_477)
& cC200xcomp(U_477) )
| ~ cC202(U_477) ) ),
inference(miniscope,[status(thm)],[f_107_2]) ).
cnf(f_107_4,plain,
( cC200xcomp(U_477)
| ~ cC202(U_477) ),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_5,plain,
( cC190(U_477)
| ~ cC202(U_477) ),
inference(clausify,[status(thm)],[f_107_3]) ).
cnf(f_107_6,plain,
( cC202(U_478)
| ~ cC190(U_478)
| ~ cC200xcomp(U_478) ),
inference(clausify,[status(thm)],[f_107_3]) ).
fof(f_108_1,plain,
! [X] :
( ( cC202(X)
| ! [Y0] : ~ ra_Px71(X,Y0) )
& ( ? [Y0] : ra_Px71(X,Y0)
| ~ cC202(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_107]) ).
fof(f_108_2,plain,
! [U_481] :
( ( cC202(U_481)
| ! [U_480] : ~ ra_Px71(U_481,U_480) )
& ( ? [U_479] : ra_Px71(U_481,U_479)
| ~ cC202(U_481) ) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
fof(f_108_3,plain,
( ! [U_483] :
( cC202(U_483)
| ! [U_480] : ~ ra_Px71(U_483,U_480) )
& ! [U_482] :
( ? [U_479] : ra_Px71(U_482,U_479)
| ~ cC202(U_482) ) ),
inference(miniscope,[status(thm)],[f_108_2]) ).
fof(f_108_4,plain,
( ! [U_483] :
( cC202(U_483)
| ! [U_480] : ~ ra_Px71(U_483,U_480) )
& ! [U_482] :
( ra_Px71(U_482,sK80(U_482))
| ~ cC202(U_482) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80]),skolemize(U_479,sK80(U_482))],[f_108_3]) ).
cnf(f_108_5,plain,
( ra_Px71(U_482,sK80(U_482))
| ~ cC202(U_482) ),
inference(clausify,[status(thm)],[f_108_4]) ).
cnf(f_108_6,plain,
( cC202(U_483)
| ~ ra_Px71(U_483,U_480) ),
inference(clausify,[status(thm)],[f_108_4]) ).
fof(f_109_1,plain,
! [X] :
( ( cC202xcomp(X)
| ? [Y] : ra_Px71(X,Y) )
& ( ! [Y] : ~ ra_Px71(X,Y)
| ~ cC202xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_108]) ).
fof(f_109_2,plain,
! [U_486] :
( ( cC202xcomp(U_486)
| ? [U_485] : ra_Px71(U_486,U_485) )
& ( ! [U_484] : ~ ra_Px71(U_486,U_484)
| ~ cC202xcomp(U_486) ) ),
inference(variable_rename,[status(thm)],[f_109_1]) ).
fof(f_109_3,plain,
( ! [U_488] :
( cC202xcomp(U_488)
| ? [U_485] : ra_Px71(U_488,U_485) )
& ! [U_487] :
( ! [U_484] : ~ ra_Px71(U_487,U_484)
| ~ cC202xcomp(U_487) ) ),
inference(miniscope,[status(thm)],[f_109_2]) ).
fof(f_109_4,plain,
( ! [U_488] :
( cC202xcomp(U_488)
| ra_Px71(U_488,sK81(U_488)) )
& ! [U_487] :
( ! [U_484] : ~ ra_Px71(U_487,U_484)
| ~ cC202xcomp(U_487) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK81]),skolemize(U_485,sK81(U_488))],[f_109_3]) ).
cnf(f_109_5,plain,
( ~ ra_Px71(U_487,U_484)
| ~ cC202xcomp(U_487) ),
inference(clausify,[status(thm)],[f_109_4]) ).
cnf(f_109_6,plain,
( cC202xcomp(U_488)
| ra_Px71(U_488,sK81(U_488)) ),
inference(clausify,[status(thm)],[f_109_4]) ).
fof(f_110_1,plain,
! [X] :
( ( cC204(X)
| ~ cC178xcomp(X)
| ~ cC202xcomp(X) )
& ( ( cC178xcomp(X)
& cC202xcomp(X) )
| ~ cC204(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_109]) ).
fof(f_110_2,plain,
! [U_489] :
( ( cC204(U_489)
| ~ cC178xcomp(U_489)
| ~ cC202xcomp(U_489) )
& ( ( cC178xcomp(U_489)
& cC202xcomp(U_489) )
| ~ cC204(U_489) ) ),
inference(variable_rename,[status(thm)],[f_110_1]) ).
fof(f_110_3,plain,
( ! [U_491] :
( cC204(U_491)
| ~ cC178xcomp(U_491)
| ~ cC202xcomp(U_491) )
& ! [U_490] :
( ( cC178xcomp(U_490)
& cC202xcomp(U_490) )
| ~ cC204(U_490) ) ),
inference(miniscope,[status(thm)],[f_110_2]) ).
cnf(f_110_4,plain,
( cC202xcomp(U_490)
| ~ cC204(U_490) ),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_110_5,plain,
( cC178xcomp(U_490)
| ~ cC204(U_490) ),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_110_6,plain,
( cC204(U_491)
| ~ cC178xcomp(U_491)
| ~ cC202xcomp(U_491) ),
inference(clausify,[status(thm)],[f_110_3]) ).
fof(f_111_1,plain,
! [X] :
( ( cC206(X)
| ~ cC170(X)
| ~ cC204(X) )
& ( ( cC170(X)
& cC204(X) )
| ~ cC206(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_110]) ).
fof(f_111_2,plain,
! [U_492] :
( ( cC206(U_492)
| ~ cC170(U_492)
| ~ cC204(U_492) )
& ( ( cC170(U_492)
& cC204(U_492) )
| ~ cC206(U_492) ) ),
inference(variable_rename,[status(thm)],[f_111_1]) ).
fof(f_111_3,plain,
( ! [U_494] :
( cC206(U_494)
| ~ cC170(U_494)
| ~ cC204(U_494) )
& ! [U_493] :
( ( cC170(U_493)
& cC204(U_493) )
| ~ cC206(U_493) ) ),
inference(miniscope,[status(thm)],[f_111_2]) ).
cnf(f_111_4,plain,
( cC204(U_493)
| ~ cC206(U_493) ),
inference(clausify,[status(thm)],[f_111_3]) ).
cnf(f_111_5,plain,
( cC170(U_493)
| ~ cC206(U_493) ),
inference(clausify,[status(thm)],[f_111_3]) ).
cnf(f_111_6,plain,
( cC206(U_494)
| ~ cC170(U_494)
| ~ cC204(U_494) ),
inference(clausify,[status(thm)],[f_111_3]) ).
fof(f_112_1,plain,
! [X] :
( ( cC208(X)
| ! [Y] :
( ~ cC206(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC206(Y)
& rR1(X,Y) )
| ~ cC208(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_111]) ).
fof(f_112_2,plain,
! [U_497] :
( ( cC208(U_497)
| ! [U_496] :
( ~ cC206(U_496)
| ~ rR1(U_497,U_496) ) )
& ( ? [U_495] :
( cC206(U_495)
& rR1(U_497,U_495) )
| ~ cC208(U_497) ) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
( ! [U_499] :
( cC208(U_499)
| ! [U_496] :
( ~ cC206(U_496)
| ~ rR1(U_499,U_496) ) )
& ! [U_498] :
( ? [U_495] :
( cC206(U_495)
& rR1(U_498,U_495) )
| ~ cC208(U_498) ) ),
inference(miniscope,[status(thm)],[f_112_2]) ).
fof(f_112_4,plain,
( ! [U_499] :
( cC208(U_499)
| ! [U_496] :
( ~ cC206(U_496)
| ~ rR1(U_499,U_496) ) )
& ! [U_498] :
( ( cC206(sK82(U_498))
& rR1(U_498,sK82(U_498)) )
| ~ cC208(U_498) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(U_495,sK82(U_498))],[f_112_3]) ).
cnf(f_112_5,plain,
( rR1(U_498,sK82(U_498))
| ~ cC208(U_498) ),
inference(clausify,[status(thm)],[f_112_4]) ).
cnf(f_112_6,plain,
( cC206(sK82(U_498))
| ~ cC208(U_498) ),
inference(clausify,[status(thm)],[f_112_4]) ).
cnf(f_112_7,plain,
( cC208(U_499)
| ~ cC206(U_496)
| ~ rR1(U_499,U_496) ),
inference(clausify,[status(thm)],[f_112_4]) ).
fof(f_113_1,plain,
! [X] :
( ( cC208(X)
| ? [Y] : ra_Px73(X,Y) )
& ( ! [Y] : ~ ra_Px73(X,Y)
| ~ cC208(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_112]) ).
fof(f_113_2,plain,
! [U_502] :
( ( cC208(U_502)
| ? [U_501] : ra_Px73(U_502,U_501) )
& ( ! [U_500] : ~ ra_Px73(U_502,U_500)
| ~ cC208(U_502) ) ),
inference(variable_rename,[status(thm)],[f_113_1]) ).
fof(f_113_3,plain,
( ! [U_504] :
( cC208(U_504)
| ? [U_501] : ra_Px73(U_504,U_501) )
& ! [U_503] :
( ! [U_500] : ~ ra_Px73(U_503,U_500)
| ~ cC208(U_503) ) ),
inference(miniscope,[status(thm)],[f_113_2]) ).
fof(f_113_4,plain,
( ! [U_504] :
( cC208(U_504)
| ra_Px73(U_504,sK83(U_504)) )
& ! [U_503] :
( ! [U_500] : ~ ra_Px73(U_503,U_500)
| ~ cC208(U_503) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83]),skolemize(U_501,sK83(U_504))],[f_113_3]) ).
cnf(f_113_5,plain,
( ~ ra_Px73(U_503,U_500)
| ~ cC208(U_503) ),
inference(clausify,[status(thm)],[f_113_4]) ).
cnf(f_113_6,plain,
( cC208(U_504)
| ra_Px73(U_504,sK83(U_504)) ),
inference(clausify,[status(thm)],[f_113_4]) ).
fof(f_114_1,plain,
! [X] :
( ( cC208xcomp(X)
| ! [Y0] : ~ ra_Px73(X,Y0) )
& ( ? [Y0] : ra_Px73(X,Y0)
| ~ cC208xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_113]) ).
fof(f_114_2,plain,
! [U_507] :
( ( cC208xcomp(U_507)
| ! [U_506] : ~ ra_Px73(U_507,U_506) )
& ( ? [U_505] : ra_Px73(U_507,U_505)
| ~ cC208xcomp(U_507) ) ),
inference(variable_rename,[status(thm)],[f_114_1]) ).
fof(f_114_3,plain,
( ! [U_509] :
( cC208xcomp(U_509)
| ! [U_506] : ~ ra_Px73(U_509,U_506) )
& ! [U_508] :
( ? [U_505] : ra_Px73(U_508,U_505)
| ~ cC208xcomp(U_508) ) ),
inference(miniscope,[status(thm)],[f_114_2]) ).
fof(f_114_4,plain,
( ! [U_509] :
( cC208xcomp(U_509)
| ! [U_506] : ~ ra_Px73(U_509,U_506) )
& ! [U_508] :
( ra_Px73(U_508,sK84(U_508))
| ~ cC208xcomp(U_508) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84]),skolemize(U_505,sK84(U_508))],[f_114_3]) ).
cnf(f_114_5,plain,
( ra_Px73(U_508,sK84(U_508))
| ~ cC208xcomp(U_508) ),
inference(clausify,[status(thm)],[f_114_4]) ).
cnf(f_114_6,plain,
( cC208xcomp(U_509)
| ~ ra_Px73(U_509,U_506) ),
inference(clausify,[status(thm)],[f_114_4]) ).
fof(f_115_1,plain,
! [X] :
( ( cC210(X)
| ~ cC208xcomp(X)
| ~ cC134xcomp(X) )
& ( ( cC208xcomp(X)
& cC134xcomp(X) )
| ~ cC210(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_114]) ).
fof(f_115_2,plain,
! [U_510] :
( ( cC210(U_510)
| ~ cC208xcomp(U_510)
| ~ cC134xcomp(U_510) )
& ( ( cC208xcomp(U_510)
& cC134xcomp(U_510) )
| ~ cC210(U_510) ) ),
inference(variable_rename,[status(thm)],[f_115_1]) ).
fof(f_115_3,plain,
( ! [U_512] :
( cC210(U_512)
| ~ cC208xcomp(U_512)
| ~ cC134xcomp(U_512) )
& ! [U_511] :
( ( cC208xcomp(U_511)
& cC134xcomp(U_511) )
| ~ cC210(U_511) ) ),
inference(miniscope,[status(thm)],[f_115_2]) ).
cnf(f_115_4,plain,
( cC134xcomp(U_511)
| ~ cC210(U_511) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_5,plain,
( cC208xcomp(U_511)
| ~ cC210(U_511) ),
inference(clausify,[status(thm)],[f_115_3]) ).
cnf(f_115_6,plain,
( cC210(U_512)
| ~ cC208xcomp(U_512)
| ~ cC134xcomp(U_512) ),
inference(clausify,[status(thm)],[f_115_3]) ).
fof(f_116_1,plain,
! [X] :
( ( cC212(X)
| ! [Y0] : ~ ra_Px74(X,Y0) )
& ( ? [Y0] : ra_Px74(X,Y0)
| ~ cC212(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_115]) ).
fof(f_116_2,plain,
! [U_515] :
( ( cC212(U_515)
| ! [U_514] : ~ ra_Px74(U_515,U_514) )
& ( ? [U_513] : ra_Px74(U_515,U_513)
| ~ cC212(U_515) ) ),
inference(variable_rename,[status(thm)],[f_116_1]) ).
fof(f_116_3,plain,
( ! [U_517] :
( cC212(U_517)
| ! [U_514] : ~ ra_Px74(U_517,U_514) )
& ! [U_516] :
( ? [U_513] : ra_Px74(U_516,U_513)
| ~ cC212(U_516) ) ),
inference(miniscope,[status(thm)],[f_116_2]) ).
fof(f_116_4,plain,
( ! [U_517] :
( cC212(U_517)
| ! [U_514] : ~ ra_Px74(U_517,U_514) )
& ! [U_516] :
( ra_Px74(U_516,sK85(U_516))
| ~ cC212(U_516) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK85]),skolemize(U_513,sK85(U_516))],[f_116_3]) ).
cnf(f_116_5,plain,
( ra_Px74(U_516,sK85(U_516))
| ~ cC212(U_516) ),
inference(clausify,[status(thm)],[f_116_4]) ).
cnf(f_116_6,plain,
( cC212(U_517)
| ~ ra_Px74(U_517,U_514) ),
inference(clausify,[status(thm)],[f_116_4]) ).
fof(f_117_1,plain,
! [X] :
( ( cC212(X)
| ! [Y] :
( ~ cC210(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC210(Y)
& rR1(X,Y) )
| ~ cC212(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_116]) ).
fof(f_117_2,plain,
! [U_520] :
( ( cC212(U_520)
| ! [U_519] :
( ~ cC210(U_519)
| ~ rR1(U_520,U_519) ) )
& ( ? [U_518] :
( cC210(U_518)
& rR1(U_520,U_518) )
| ~ cC212(U_520) ) ),
inference(variable_rename,[status(thm)],[f_117_1]) ).
fof(f_117_3,plain,
( ! [U_522] :
( cC212(U_522)
| ! [U_519] :
( ~ cC210(U_519)
| ~ rR1(U_522,U_519) ) )
& ! [U_521] :
( ? [U_518] :
( cC210(U_518)
& rR1(U_521,U_518) )
| ~ cC212(U_521) ) ),
inference(miniscope,[status(thm)],[f_117_2]) ).
fof(f_117_4,plain,
( ! [U_522] :
( cC212(U_522)
| ! [U_519] :
( ~ cC210(U_519)
| ~ rR1(U_522,U_519) ) )
& ! [U_521] :
( ( cC210(sK86(U_521))
& rR1(U_521,sK86(U_521)) )
| ~ cC212(U_521) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86]),skolemize(U_518,sK86(U_521))],[f_117_3]) ).
cnf(f_117_5,plain,
( rR1(U_521,sK86(U_521))
| ~ cC212(U_521) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_6,plain,
( cC210(sK86(U_521))
| ~ cC212(U_521) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_7,plain,
( cC212(U_522)
| ~ cC210(U_519)
| ~ rR1(U_522,U_519) ),
inference(clausify,[status(thm)],[f_117_4]) ).
fof(f_118_1,plain,
! [X] :
( ( cC212xcomp(X)
| ? [Y] : ra_Px74(X,Y) )
& ( ! [Y] : ~ ra_Px74(X,Y)
| ~ cC212xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_117]) ).
fof(f_118_2,plain,
! [U_525] :
( ( cC212xcomp(U_525)
| ? [U_524] : ra_Px74(U_525,U_524) )
& ( ! [U_523] : ~ ra_Px74(U_525,U_523)
| ~ cC212xcomp(U_525) ) ),
inference(variable_rename,[status(thm)],[f_118_1]) ).
fof(f_118_3,plain,
( ! [U_527] :
( cC212xcomp(U_527)
| ? [U_524] : ra_Px74(U_527,U_524) )
& ! [U_526] :
( ! [U_523] : ~ ra_Px74(U_526,U_523)
| ~ cC212xcomp(U_526) ) ),
inference(miniscope,[status(thm)],[f_118_2]) ).
fof(f_118_4,plain,
( ! [U_527] :
( cC212xcomp(U_527)
| ra_Px74(U_527,sK87(U_527)) )
& ! [U_526] :
( ! [U_523] : ~ ra_Px74(U_526,U_523)
| ~ cC212xcomp(U_526) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87]),skolemize(U_524,sK87(U_527))],[f_118_3]) ).
cnf(f_118_5,plain,
( ~ ra_Px74(U_526,U_523)
| ~ cC212xcomp(U_526) ),
inference(clausify,[status(thm)],[f_118_4]) ).
cnf(f_118_6,plain,
( cC212xcomp(U_527)
| ra_Px74(U_527,sK87(U_527)) ),
inference(clausify,[status(thm)],[f_118_4]) ).
fof(f_119_1,plain,
! [X] :
( ( cC214(X)
| ! [Y0] : ~ ra_Px75(X,Y0) )
& ( ? [Y0] : ra_Px75(X,Y0)
| ~ cC214(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_118]) ).
fof(f_119_2,plain,
! [U_530] :
( ( cC214(U_530)
| ! [U_529] : ~ ra_Px75(U_530,U_529) )
& ( ? [U_528] : ra_Px75(U_530,U_528)
| ~ cC214(U_530) ) ),
inference(variable_rename,[status(thm)],[f_119_1]) ).
fof(f_119_3,plain,
( ! [U_532] :
( cC214(U_532)
| ! [U_529] : ~ ra_Px75(U_532,U_529) )
& ! [U_531] :
( ? [U_528] : ra_Px75(U_531,U_528)
| ~ cC214(U_531) ) ),
inference(miniscope,[status(thm)],[f_119_2]) ).
fof(f_119_4,plain,
( ! [U_532] :
( cC214(U_532)
| ! [U_529] : ~ ra_Px75(U_532,U_529) )
& ! [U_531] :
( ra_Px75(U_531,sK88(U_531))
| ~ cC214(U_531) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(U_528,sK88(U_531))],[f_119_3]) ).
cnf(f_119_5,plain,
( ra_Px75(U_531,sK88(U_531))
| ~ cC214(U_531) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_6,plain,
( cC214(U_532)
| ~ ra_Px75(U_532,U_529) ),
inference(clausify,[status(thm)],[f_119_4]) ).
fof(f_120_1,plain,
! [X] :
( ( cC214(X)
| ~ cC100(X)
| ~ cC212xcomp(X) )
& ( ( cC100(X)
& cC212xcomp(X) )
| ~ cC214(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_119]) ).
fof(f_120_2,plain,
! [U_533] :
( ( cC214(U_533)
| ~ cC100(U_533)
| ~ cC212xcomp(U_533) )
& ( ( cC100(U_533)
& cC212xcomp(U_533) )
| ~ cC214(U_533) ) ),
inference(variable_rename,[status(thm)],[f_120_1]) ).
fof(f_120_3,plain,
( ! [U_535] :
( cC214(U_535)
| ~ cC100(U_535)
| ~ cC212xcomp(U_535) )
& ! [U_534] :
( ( cC100(U_534)
& cC212xcomp(U_534) )
| ~ cC214(U_534) ) ),
inference(miniscope,[status(thm)],[f_120_2]) ).
cnf(f_120_4,plain,
( cC212xcomp(U_534)
| ~ cC214(U_534) ),
inference(clausify,[status(thm)],[f_120_3]) ).
cnf(f_120_5,plain,
( cC100(U_534)
| ~ cC214(U_534) ),
inference(clausify,[status(thm)],[f_120_3]) ).
cnf(f_120_6,plain,
( cC214(U_535)
| ~ cC100(U_535)
| ~ cC212xcomp(U_535) ),
inference(clausify,[status(thm)],[f_120_3]) ).
fof(f_121_1,plain,
! [X] :
( ( cC214xcomp(X)
| ? [Y] : ra_Px75(X,Y) )
& ( ! [Y] : ~ ra_Px75(X,Y)
| ~ cC214xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_120]) ).
fof(f_121_2,plain,
! [U_538] :
( ( cC214xcomp(U_538)
| ? [U_537] : ra_Px75(U_538,U_537) )
& ( ! [U_536] : ~ ra_Px75(U_538,U_536)
| ~ cC214xcomp(U_538) ) ),
inference(variable_rename,[status(thm)],[f_121_1]) ).
fof(f_121_3,plain,
( ! [U_540] :
( cC214xcomp(U_540)
| ? [U_537] : ra_Px75(U_540,U_537) )
& ! [U_539] :
( ! [U_536] : ~ ra_Px75(U_539,U_536)
| ~ cC214xcomp(U_539) ) ),
inference(miniscope,[status(thm)],[f_121_2]) ).
fof(f_121_4,plain,
( ! [U_540] :
( cC214xcomp(U_540)
| ra_Px75(U_540,sK89(U_540)) )
& ! [U_539] :
( ! [U_536] : ~ ra_Px75(U_539,U_536)
| ~ cC214xcomp(U_539) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89]),skolemize(U_537,sK89(U_540))],[f_121_3]) ).
cnf(f_121_5,plain,
( ~ ra_Px75(U_539,U_536)
| ~ cC214xcomp(U_539) ),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_6,plain,
( cC214xcomp(U_540)
| ra_Px75(U_540,sK89(U_540)) ),
inference(clausify,[status(thm)],[f_121_4]) ).
fof(f_122_1,plain,
! [X] :
( ( cC216(X)
| ~ cC214xcomp(X)
| ~ cC64(X) )
& ( ( cC214xcomp(X)
& cC64(X) )
| ~ cC216(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_121]) ).
fof(f_122_2,plain,
! [U_541] :
( ( cC216(U_541)
| ~ cC214xcomp(U_541)
| ~ cC64(U_541) )
& ( ( cC214xcomp(U_541)
& cC64(U_541) )
| ~ cC216(U_541) ) ),
inference(variable_rename,[status(thm)],[f_122_1]) ).
fof(f_122_3,plain,
( ! [U_543] :
( cC216(U_543)
| ~ cC214xcomp(U_543)
| ~ cC64(U_543) )
& ! [U_542] :
( ( cC214xcomp(U_542)
& cC64(U_542) )
| ~ cC216(U_542) ) ),
inference(miniscope,[status(thm)],[f_122_2]) ).
cnf(f_122_4,plain,
( cC64(U_542)
| ~ cC216(U_542) ),
inference(clausify,[status(thm)],[f_122_3]) ).
cnf(f_122_5,plain,
( cC214xcomp(U_542)
| ~ cC216(U_542) ),
inference(clausify,[status(thm)],[f_122_3]) ).
cnf(f_122_6,plain,
( cC216(U_543)
| ~ cC214xcomp(U_543)
| ~ cC64(U_543) ),
inference(clausify,[status(thm)],[f_122_3]) ).
fof(f_123_1,plain,
! [X] :
( ( cC22(X)
| ? [Y] : ra_Px7(X,Y) )
& ( ! [Y] : ~ ra_Px7(X,Y)
| ~ cC22(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_122]) ).
fof(f_123_2,plain,
! [U_546] :
( ( cC22(U_546)
| ? [U_545] : ra_Px7(U_546,U_545) )
& ( ! [U_544] : ~ ra_Px7(U_546,U_544)
| ~ cC22(U_546) ) ),
inference(variable_rename,[status(thm)],[f_123_1]) ).
fof(f_123_3,plain,
( ! [U_548] :
( cC22(U_548)
| ? [U_545] : ra_Px7(U_548,U_545) )
& ! [U_547] :
( ! [U_544] : ~ ra_Px7(U_547,U_544)
| ~ cC22(U_547) ) ),
inference(miniscope,[status(thm)],[f_123_2]) ).
fof(f_123_4,plain,
( ! [U_548] :
( cC22(U_548)
| ra_Px7(U_548,sK90(U_548)) )
& ! [U_547] :
( ! [U_544] : ~ ra_Px7(U_547,U_544)
| ~ cC22(U_547) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90]),skolemize(U_545,sK90(U_548))],[f_123_3]) ).
cnf(f_123_5,plain,
( ~ ra_Px7(U_547,U_544)
| ~ cC22(U_547) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_6,plain,
( cC22(U_548)
| ra_Px7(U_548,sK90(U_548)) ),
inference(clausify,[status(thm)],[f_123_4]) ).
fof(f_124_1,plain,
! [X] :
( ( cC22(X)
| ! [Y] :
( ~ cC20(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC20(Y)
& rR1(X,Y) )
| ~ cC22(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_123]) ).
fof(f_124_2,plain,
! [U_551] :
( ( cC22(U_551)
| ! [U_550] :
( ~ cC20(U_550)
| ~ rR1(U_551,U_550) ) )
& ( ? [U_549] :
( cC20(U_549)
& rR1(U_551,U_549) )
| ~ cC22(U_551) ) ),
inference(variable_rename,[status(thm)],[f_124_1]) ).
fof(f_124_3,plain,
( ! [U_553] :
( cC22(U_553)
| ! [U_550] :
( ~ cC20(U_550)
| ~ rR1(U_553,U_550) ) )
& ! [U_552] :
( ? [U_549] :
( cC20(U_549)
& rR1(U_552,U_549) )
| ~ cC22(U_552) ) ),
inference(miniscope,[status(thm)],[f_124_2]) ).
fof(f_124_4,plain,
( ! [U_553] :
( cC22(U_553)
| ! [U_550] :
( ~ cC20(U_550)
| ~ rR1(U_553,U_550) ) )
& ! [U_552] :
( ( cC20(sK91(U_552))
& rR1(U_552,sK91(U_552)) )
| ~ cC22(U_552) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91]),skolemize(U_549,sK91(U_552))],[f_124_3]) ).
cnf(f_124_5,plain,
( rR1(U_552,sK91(U_552))
| ~ cC22(U_552) ),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_6,plain,
( cC20(sK91(U_552))
| ~ cC22(U_552) ),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_7,plain,
( cC22(U_553)
| ~ cC20(U_550)
| ~ rR1(U_553,U_550) ),
inference(clausify,[status(thm)],[f_124_4]) ).
fof(f_125_1,plain,
! [X] :
( ( cC22xcomp(X)
| ! [Y0] : ~ ra_Px7(X,Y0) )
& ( ? [Y0] : ra_Px7(X,Y0)
| ~ cC22xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_124]) ).
fof(f_125_2,plain,
! [U_556] :
( ( cC22xcomp(U_556)
| ! [U_555] : ~ ra_Px7(U_556,U_555) )
& ( ? [U_554] : ra_Px7(U_556,U_554)
| ~ cC22xcomp(U_556) ) ),
inference(variable_rename,[status(thm)],[f_125_1]) ).
fof(f_125_3,plain,
( ! [U_558] :
( cC22xcomp(U_558)
| ! [U_555] : ~ ra_Px7(U_558,U_555) )
& ! [U_557] :
( ? [U_554] : ra_Px7(U_557,U_554)
| ~ cC22xcomp(U_557) ) ),
inference(miniscope,[status(thm)],[f_125_2]) ).
fof(f_125_4,plain,
( ! [U_558] :
( cC22xcomp(U_558)
| ! [U_555] : ~ ra_Px7(U_558,U_555) )
& ! [U_557] :
( ra_Px7(U_557,sK92(U_557))
| ~ cC22xcomp(U_557) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92]),skolemize(U_554,sK92(U_557))],[f_125_3]) ).
cnf(f_125_5,plain,
( ra_Px7(U_557,sK92(U_557))
| ~ cC22xcomp(U_557) ),
inference(clausify,[status(thm)],[f_125_4]) ).
cnf(f_125_6,plain,
( cC22xcomp(U_558)
| ~ ra_Px7(U_558,U_555) ),
inference(clausify,[status(thm)],[f_125_4]) ).
fof(f_126_1,plain,
! [X] :
( ( cC24(X)
| ? [Y] : ra_Px88(X,Y) )
& ( ! [Y] : ~ ra_Px88(X,Y)
| ~ cC24(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_125]) ).
fof(f_126_2,plain,
! [U_561] :
( ( cC24(U_561)
| ? [U_560] : ra_Px88(U_561,U_560) )
& ( ! [U_559] : ~ ra_Px88(U_561,U_559)
| ~ cC24(U_561) ) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
fof(f_126_3,plain,
( ! [U_563] :
( cC24(U_563)
| ? [U_560] : ra_Px88(U_563,U_560) )
& ! [U_562] :
( ! [U_559] : ~ ra_Px88(U_562,U_559)
| ~ cC24(U_562) ) ),
inference(miniscope,[status(thm)],[f_126_2]) ).
fof(f_126_4,plain,
( ! [U_563] :
( cC24(U_563)
| ra_Px88(U_563,sK93(U_563)) )
& ! [U_562] :
( ! [U_559] : ~ ra_Px88(U_562,U_559)
| ~ cC24(U_562) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93]),skolemize(U_560,sK93(U_563))],[f_126_3]) ).
cnf(f_126_5,plain,
( ~ ra_Px88(U_562,U_559)
| ~ cC24(U_562) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_6,plain,
( cC24(U_563)
| ra_Px88(U_563,sK93(U_563)) ),
inference(clausify,[status(thm)],[f_126_4]) ).
fof(f_127_1,plain,
! [X] :
( ( cC24(X)
| ~ cC22xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC22xcomp(X)
& cC16xcomp(X) )
| ~ cC24(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_126]) ).
fof(f_127_2,plain,
! [U_564] :
( ( cC24(U_564)
| ~ cC22xcomp(U_564)
| ~ cC16xcomp(U_564) )
& ( ( cC22xcomp(U_564)
& cC16xcomp(U_564) )
| ~ cC24(U_564) ) ),
inference(variable_rename,[status(thm)],[f_127_1]) ).
fof(f_127_3,plain,
( ! [U_566] :
( cC24(U_566)
| ~ cC22xcomp(U_566)
| ~ cC16xcomp(U_566) )
& ! [U_565] :
( ( cC22xcomp(U_565)
& cC16xcomp(U_565) )
| ~ cC24(U_565) ) ),
inference(miniscope,[status(thm)],[f_127_2]) ).
cnf(f_127_4,plain,
( cC16xcomp(U_565)
| ~ cC24(U_565) ),
inference(clausify,[status(thm)],[f_127_3]) ).
cnf(f_127_5,plain,
( cC22xcomp(U_565)
| ~ cC24(U_565) ),
inference(clausify,[status(thm)],[f_127_3]) ).
cnf(f_127_6,plain,
( cC24(U_566)
| ~ cC22xcomp(U_566)
| ~ cC16xcomp(U_566) ),
inference(clausify,[status(thm)],[f_127_3]) ).
fof(f_128_1,plain,
! [X] :
( ( cC24xcomp(X)
| ! [Y0] : ~ ra_Px88(X,Y0) )
& ( ? [Y0] : ra_Px88(X,Y0)
| ~ cC24xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_127]) ).
fof(f_128_2,plain,
! [U_569] :
( ( cC24xcomp(U_569)
| ! [U_568] : ~ ra_Px88(U_569,U_568) )
& ( ? [U_567] : ra_Px88(U_569,U_567)
| ~ cC24xcomp(U_569) ) ),
inference(variable_rename,[status(thm)],[f_128_1]) ).
fof(f_128_3,plain,
( ! [U_571] :
( cC24xcomp(U_571)
| ! [U_568] : ~ ra_Px88(U_571,U_568) )
& ! [U_570] :
( ? [U_567] : ra_Px88(U_570,U_567)
| ~ cC24xcomp(U_570) ) ),
inference(miniscope,[status(thm)],[f_128_2]) ).
fof(f_128_4,plain,
( ! [U_571] :
( cC24xcomp(U_571)
| ! [U_568] : ~ ra_Px88(U_571,U_568) )
& ! [U_570] :
( ra_Px88(U_570,sK94(U_570))
| ~ cC24xcomp(U_570) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94]),skolemize(U_567,sK94(U_570))],[f_128_3]) ).
cnf(f_128_5,plain,
( ra_Px88(U_570,sK94(U_570))
| ~ cC24xcomp(U_570) ),
inference(clausify,[status(thm)],[f_128_4]) ).
cnf(f_128_6,plain,
( cC24xcomp(U_571)
| ~ ra_Px88(U_571,U_568) ),
inference(clausify,[status(thm)],[f_128_4]) ).
fof(f_129_1,plain,
! [X] :
( ( cC26(X)
| ! [Y0] : ~ ra_Px9(X,Y0) )
& ( ? [Y0] : ra_Px9(X,Y0)
| ~ cC26(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_128]) ).
fof(f_129_2,plain,
! [U_574] :
( ( cC26(U_574)
| ! [U_573] : ~ ra_Px9(U_574,U_573) )
& ( ? [U_572] : ra_Px9(U_574,U_572)
| ~ cC26(U_574) ) ),
inference(variable_rename,[status(thm)],[f_129_1]) ).
fof(f_129_3,plain,
( ! [U_576] :
( cC26(U_576)
| ! [U_573] : ~ ra_Px9(U_576,U_573) )
& ! [U_575] :
( ? [U_572] : ra_Px9(U_575,U_572)
| ~ cC26(U_575) ) ),
inference(miniscope,[status(thm)],[f_129_2]) ).
fof(f_129_4,plain,
( ! [U_576] :
( cC26(U_576)
| ! [U_573] : ~ ra_Px9(U_576,U_573) )
& ! [U_575] :
( ra_Px9(U_575,sK95(U_575))
| ~ cC26(U_575) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95]),skolemize(U_572,sK95(U_575))],[f_129_3]) ).
cnf(f_129_5,plain,
( ra_Px9(U_575,sK95(U_575))
| ~ cC26(U_575) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_6,plain,
( cC26(U_576)
| ~ ra_Px9(U_576,U_573) ),
inference(clausify,[status(thm)],[f_129_4]) ).
fof(f_130_1,plain,
! [X] :
( ( cC26(X)
| ! [Y] :
( ~ cC24(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC24(Y)
& rR1(X,Y) )
| ~ cC26(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_129]) ).
fof(f_130_2,plain,
! [U_579] :
( ( cC26(U_579)
| ! [U_578] :
( ~ cC24(U_578)
| ~ rR1(U_579,U_578) ) )
& ( ? [U_577] :
( cC24(U_577)
& rR1(U_579,U_577) )
| ~ cC26(U_579) ) ),
inference(variable_rename,[status(thm)],[f_130_1]) ).
fof(f_130_3,plain,
( ! [U_581] :
( cC26(U_581)
| ! [U_578] :
( ~ cC24(U_578)
| ~ rR1(U_581,U_578) ) )
& ! [U_580] :
( ? [U_577] :
( cC24(U_577)
& rR1(U_580,U_577) )
| ~ cC26(U_580) ) ),
inference(miniscope,[status(thm)],[f_130_2]) ).
fof(f_130_4,plain,
( ! [U_581] :
( cC26(U_581)
| ! [U_578] :
( ~ cC24(U_578)
| ~ rR1(U_581,U_578) ) )
& ! [U_580] :
( ( cC24(sK96(U_580))
& rR1(U_580,sK96(U_580)) )
| ~ cC26(U_580) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK96]),skolemize(U_577,sK96(U_580))],[f_130_3]) ).
cnf(f_130_5,plain,
( rR1(U_580,sK96(U_580))
| ~ cC26(U_580) ),
inference(clausify,[status(thm)],[f_130_4]) ).
cnf(f_130_6,plain,
( cC24(sK96(U_580))
| ~ cC26(U_580) ),
inference(clausify,[status(thm)],[f_130_4]) ).
cnf(f_130_7,plain,
( cC26(U_581)
| ~ cC24(U_578)
| ~ rR1(U_581,U_578) ),
inference(clausify,[status(thm)],[f_130_4]) ).
fof(f_131_1,plain,
! [X] :
( ( cC26xcomp(X)
| ? [Y] : ra_Px9(X,Y) )
& ( ! [Y] : ~ ra_Px9(X,Y)
| ~ cC26xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_130]) ).
fof(f_131_2,plain,
! [U_584] :
( ( cC26xcomp(U_584)
| ? [U_583] : ra_Px9(U_584,U_583) )
& ( ! [U_582] : ~ ra_Px9(U_584,U_582)
| ~ cC26xcomp(U_584) ) ),
inference(variable_rename,[status(thm)],[f_131_1]) ).
fof(f_131_3,plain,
( ! [U_586] :
( cC26xcomp(U_586)
| ? [U_583] : ra_Px9(U_586,U_583) )
& ! [U_585] :
( ! [U_582] : ~ ra_Px9(U_585,U_582)
| ~ cC26xcomp(U_585) ) ),
inference(miniscope,[status(thm)],[f_131_2]) ).
fof(f_131_4,plain,
( ! [U_586] :
( cC26xcomp(U_586)
| ra_Px9(U_586,sK97(U_586)) )
& ! [U_585] :
( ! [U_582] : ~ ra_Px9(U_585,U_582)
| ~ cC26xcomp(U_585) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK97]),skolemize(U_583,sK97(U_586))],[f_131_3]) ).
cnf(f_131_5,plain,
( ~ ra_Px9(U_585,U_582)
| ~ cC26xcomp(U_585) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_6,plain,
( cC26xcomp(U_586)
| ra_Px9(U_586,sK97(U_586)) ),
inference(clausify,[status(thm)],[f_131_4]) ).
fof(f_132_1,plain,
! [X] :
( ( cC28(X)
| ~ cC26xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC26xcomp(X)
& cC16xcomp(X) )
| ~ cC28(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_131]) ).
fof(f_132_2,plain,
! [U_587] :
( ( cC28(U_587)
| ~ cC26xcomp(U_587)
| ~ cC16xcomp(U_587) )
& ( ( cC26xcomp(U_587)
& cC16xcomp(U_587) )
| ~ cC28(U_587) ) ),
inference(variable_rename,[status(thm)],[f_132_1]) ).
fof(f_132_3,plain,
( ! [U_589] :
( cC28(U_589)
| ~ cC26xcomp(U_589)
| ~ cC16xcomp(U_589) )
& ! [U_588] :
( ( cC26xcomp(U_588)
& cC16xcomp(U_588) )
| ~ cC28(U_588) ) ),
inference(miniscope,[status(thm)],[f_132_2]) ).
cnf(f_132_4,plain,
( cC16xcomp(U_588)
| ~ cC28(U_588) ),
inference(clausify,[status(thm)],[f_132_3]) ).
cnf(f_132_5,plain,
( cC26xcomp(U_588)
| ~ cC28(U_588) ),
inference(clausify,[status(thm)],[f_132_3]) ).
cnf(f_132_6,plain,
( cC28(U_589)
| ~ cC26xcomp(U_589)
| ~ cC16xcomp(U_589) ),
inference(clausify,[status(thm)],[f_132_3]) ).
fof(f_133_1,plain,
! [X] :
( ( cC30(X)
| ~ cC14(X)
| ~ cC28(X) )
& ( ( cC14(X)
& cC28(X) )
| ~ cC30(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_132]) ).
fof(f_133_2,plain,
! [U_590] :
( ( cC30(U_590)
| ~ cC14(U_590)
| ~ cC28(U_590) )
& ( ( cC14(U_590)
& cC28(U_590) )
| ~ cC30(U_590) ) ),
inference(variable_rename,[status(thm)],[f_133_1]) ).
fof(f_133_3,plain,
( ! [U_592] :
( cC30(U_592)
| ~ cC14(U_592)
| ~ cC28(U_592) )
& ! [U_591] :
( ( cC14(U_591)
& cC28(U_591) )
| ~ cC30(U_591) ) ),
inference(miniscope,[status(thm)],[f_133_2]) ).
cnf(f_133_4,plain,
( cC28(U_591)
| ~ cC30(U_591) ),
inference(clausify,[status(thm)],[f_133_3]) ).
cnf(f_133_5,plain,
( cC14(U_591)
| ~ cC30(U_591) ),
inference(clausify,[status(thm)],[f_133_3]) ).
cnf(f_133_6,plain,
( cC30(U_592)
| ~ cC14(U_592)
| ~ cC28(U_592) ),
inference(clausify,[status(thm)],[f_133_3]) ).
fof(f_134_1,plain,
! [X] :
( ( cC32(X)
| ? [Y] : ra_Px10(X,Y) )
& ( ! [Y] : ~ ra_Px10(X,Y)
| ~ cC32(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_133]) ).
fof(f_134_2,plain,
! [U_595] :
( ( cC32(U_595)
| ? [U_594] : ra_Px10(U_595,U_594) )
& ( ! [U_593] : ~ ra_Px10(U_595,U_593)
| ~ cC32(U_595) ) ),
inference(variable_rename,[status(thm)],[f_134_1]) ).
fof(f_134_3,plain,
( ! [U_597] :
( cC32(U_597)
| ? [U_594] : ra_Px10(U_597,U_594) )
& ! [U_596] :
( ! [U_593] : ~ ra_Px10(U_596,U_593)
| ~ cC32(U_596) ) ),
inference(miniscope,[status(thm)],[f_134_2]) ).
fof(f_134_4,plain,
( ! [U_597] :
( cC32(U_597)
| ra_Px10(U_597,sK98(U_597)) )
& ! [U_596] :
( ! [U_593] : ~ ra_Px10(U_596,U_593)
| ~ cC32(U_596) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98]),skolemize(U_594,sK98(U_597))],[f_134_3]) ).
cnf(f_134_5,plain,
( ~ ra_Px10(U_596,U_593)
| ~ cC32(U_596) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_6,plain,
( cC32(U_597)
| ra_Px10(U_597,sK98(U_597)) ),
inference(clausify,[status(thm)],[f_134_4]) ).
fof(f_135_1,plain,
! [X] :
( ( cC32xcomp(X)
| ! [Y0] : ~ ra_Px10(X,Y0) )
& ( ? [Y0] : ra_Px10(X,Y0)
| ~ cC32xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_134]) ).
fof(f_135_2,plain,
! [U_600] :
( ( cC32xcomp(U_600)
| ! [U_599] : ~ ra_Px10(U_600,U_599) )
& ( ? [U_598] : ra_Px10(U_600,U_598)
| ~ cC32xcomp(U_600) ) ),
inference(variable_rename,[status(thm)],[f_135_1]) ).
fof(f_135_3,plain,
( ! [U_602] :
( cC32xcomp(U_602)
| ! [U_599] : ~ ra_Px10(U_602,U_599) )
& ! [U_601] :
( ? [U_598] : ra_Px10(U_601,U_598)
| ~ cC32xcomp(U_601) ) ),
inference(miniscope,[status(thm)],[f_135_2]) ).
fof(f_135_4,plain,
( ! [U_602] :
( cC32xcomp(U_602)
| ! [U_599] : ~ ra_Px10(U_602,U_599) )
& ! [U_601] :
( ra_Px10(U_601,sK99(U_601))
| ~ cC32xcomp(U_601) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK99]),skolemize(U_598,sK99(U_601))],[f_135_3]) ).
cnf(f_135_5,plain,
( ra_Px10(U_601,sK99(U_601))
| ~ cC32xcomp(U_601) ),
inference(clausify,[status(thm)],[f_135_4]) ).
cnf(f_135_6,plain,
( cC32xcomp(U_602)
| ~ ra_Px10(U_602,U_599) ),
inference(clausify,[status(thm)],[f_135_4]) ).
fof(f_136_1,plain,
! [X] :
( ( cC34(X)
| ! [Y] :
( ~ cC32xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC32xcomp(Y)
& rR1(X,Y) )
| ~ cC34(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_135]) ).
fof(f_136_2,plain,
! [U_605] :
( ( cC34(U_605)
| ! [U_604] :
( ~ cC32xcomp(U_604)
| ~ rR1(U_605,U_604) ) )
& ( ? [U_603] :
( cC32xcomp(U_603)
& rR1(U_605,U_603) )
| ~ cC34(U_605) ) ),
inference(variable_rename,[status(thm)],[f_136_1]) ).
fof(f_136_3,plain,
( ! [U_607] :
( cC34(U_607)
| ! [U_604] :
( ~ cC32xcomp(U_604)
| ~ rR1(U_607,U_604) ) )
& ! [U_606] :
( ? [U_603] :
( cC32xcomp(U_603)
& rR1(U_606,U_603) )
| ~ cC34(U_606) ) ),
inference(miniscope,[status(thm)],[f_136_2]) ).
fof(f_136_4,plain,
( ! [U_607] :
( cC34(U_607)
| ! [U_604] :
( ~ cC32xcomp(U_604)
| ~ rR1(U_607,U_604) ) )
& ! [U_606] :
( ( cC32xcomp(sK100(U_606))
& rR1(U_606,sK100(U_606)) )
| ~ cC34(U_606) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK100]),skolemize(U_603,sK100(U_606))],[f_136_3]) ).
cnf(f_136_5,plain,
( rR1(U_606,sK100(U_606))
| ~ cC34(U_606) ),
inference(clausify,[status(thm)],[f_136_4]) ).
cnf(f_136_6,plain,
( cC32xcomp(sK100(U_606))
| ~ cC34(U_606) ),
inference(clausify,[status(thm)],[f_136_4]) ).
cnf(f_136_7,plain,
( cC34(U_607)
| ~ cC32xcomp(U_604)
| ~ rR1(U_607,U_604) ),
inference(clausify,[status(thm)],[f_136_4]) ).
fof(f_137_1,plain,
! [X] :
( ( cC36(X)
| ~ cC32(X)
| ~ cC34(X) )
& ( ( cC32(X)
& cC34(X) )
| ~ cC36(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_136]) ).
fof(f_137_2,plain,
! [U_608] :
( ( cC36(U_608)
| ~ cC32(U_608)
| ~ cC34(U_608) )
& ( ( cC32(U_608)
& cC34(U_608) )
| ~ cC36(U_608) ) ),
inference(variable_rename,[status(thm)],[f_137_1]) ).
fof(f_137_3,plain,
( ! [U_610] :
( cC36(U_610)
| ~ cC32(U_610)
| ~ cC34(U_610) )
& ! [U_609] :
( ( cC32(U_609)
& cC34(U_609) )
| ~ cC36(U_609) ) ),
inference(miniscope,[status(thm)],[f_137_2]) ).
cnf(f_137_4,plain,
( cC34(U_609)
| ~ cC36(U_609) ),
inference(clausify,[status(thm)],[f_137_3]) ).
cnf(f_137_5,plain,
( cC32(U_609)
| ~ cC36(U_609) ),
inference(clausify,[status(thm)],[f_137_3]) ).
cnf(f_137_6,plain,
( cC36(U_610)
| ~ cC32(U_610)
| ~ cC34(U_610) ),
inference(clausify,[status(thm)],[f_137_3]) ).
fof(f_138_1,plain,
! [X] :
( ( cC38(X)
| ! [Y] :
( ~ cC36(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC36(Y)
& rR1(X,Y) )
| ~ cC38(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_137]) ).
fof(f_138_2,plain,
! [U_613] :
( ( cC38(U_613)
| ! [U_612] :
( ~ cC36(U_612)
| ~ rR1(U_613,U_612) ) )
& ( ? [U_611] :
( cC36(U_611)
& rR1(U_613,U_611) )
| ~ cC38(U_613) ) ),
inference(variable_rename,[status(thm)],[f_138_1]) ).
fof(f_138_3,plain,
( ! [U_615] :
( cC38(U_615)
| ! [U_612] :
( ~ cC36(U_612)
| ~ rR1(U_615,U_612) ) )
& ! [U_614] :
( ? [U_611] :
( cC36(U_611)
& rR1(U_614,U_611) )
| ~ cC38(U_614) ) ),
inference(miniscope,[status(thm)],[f_138_2]) ).
fof(f_138_4,plain,
( ! [U_615] :
( cC38(U_615)
| ! [U_612] :
( ~ cC36(U_612)
| ~ rR1(U_615,U_612) ) )
& ! [U_614] :
( ( cC36(sK101(U_614))
& rR1(U_614,sK101(U_614)) )
| ~ cC38(U_614) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK101]),skolemize(U_611,sK101(U_614))],[f_138_3]) ).
cnf(f_138_5,plain,
( rR1(U_614,sK101(U_614))
| ~ cC38(U_614) ),
inference(clausify,[status(thm)],[f_138_4]) ).
cnf(f_138_6,plain,
( cC36(sK101(U_614))
| ~ cC38(U_614) ),
inference(clausify,[status(thm)],[f_138_4]) ).
cnf(f_138_7,plain,
( cC38(U_615)
| ~ cC36(U_612)
| ~ rR1(U_615,U_612) ),
inference(clausify,[status(thm)],[f_138_4]) ).
fof(f_139_1,plain,
! [X] :
( ( cC38(X)
| ! [Y0] : ~ ra_Px12(X,Y0) )
& ( ? [Y0] : ra_Px12(X,Y0)
| ~ cC38(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_138]) ).
fof(f_139_2,plain,
! [U_618] :
( ( cC38(U_618)
| ! [U_617] : ~ ra_Px12(U_618,U_617) )
& ( ? [U_616] : ra_Px12(U_618,U_616)
| ~ cC38(U_618) ) ),
inference(variable_rename,[status(thm)],[f_139_1]) ).
fof(f_139_3,plain,
( ! [U_620] :
( cC38(U_620)
| ! [U_617] : ~ ra_Px12(U_620,U_617) )
& ! [U_619] :
( ? [U_616] : ra_Px12(U_619,U_616)
| ~ cC38(U_619) ) ),
inference(miniscope,[status(thm)],[f_139_2]) ).
fof(f_139_4,plain,
( ! [U_620] :
( cC38(U_620)
| ! [U_617] : ~ ra_Px12(U_620,U_617) )
& ! [U_619] :
( ra_Px12(U_619,sK102(U_619))
| ~ cC38(U_619) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK102]),skolemize(U_616,sK102(U_619))],[f_139_3]) ).
cnf(f_139_5,plain,
( ra_Px12(U_619,sK102(U_619))
| ~ cC38(U_619) ),
inference(clausify,[status(thm)],[f_139_4]) ).
cnf(f_139_6,plain,
( cC38(U_620)
| ~ ra_Px12(U_620,U_617) ),
inference(clausify,[status(thm)],[f_139_4]) ).
fof(f_140_1,plain,
! [X] :
( ( cC38xcomp(X)
| ? [Y] : ra_Px12(X,Y) )
& ( ! [Y] : ~ ra_Px12(X,Y)
| ~ cC38xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_139]) ).
fof(f_140_2,plain,
! [U_623] :
( ( cC38xcomp(U_623)
| ? [U_622] : ra_Px12(U_623,U_622) )
& ( ! [U_621] : ~ ra_Px12(U_623,U_621)
| ~ cC38xcomp(U_623) ) ),
inference(variable_rename,[status(thm)],[f_140_1]) ).
fof(f_140_3,plain,
( ! [U_625] :
( cC38xcomp(U_625)
| ? [U_622] : ra_Px12(U_625,U_622) )
& ! [U_624] :
( ! [U_621] : ~ ra_Px12(U_624,U_621)
| ~ cC38xcomp(U_624) ) ),
inference(miniscope,[status(thm)],[f_140_2]) ).
fof(f_140_4,plain,
( ! [U_625] :
( cC38xcomp(U_625)
| ra_Px12(U_625,sK103(U_625)) )
& ! [U_624] :
( ! [U_621] : ~ ra_Px12(U_624,U_621)
| ~ cC38xcomp(U_624) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK103]),skolemize(U_622,sK103(U_625))],[f_140_3]) ).
cnf(f_140_5,plain,
( ~ ra_Px12(U_624,U_621)
| ~ cC38xcomp(U_624) ),
inference(clausify,[status(thm)],[f_140_4]) ).
cnf(f_140_6,plain,
( cC38xcomp(U_625)
| ra_Px12(U_625,sK103(U_625)) ),
inference(clausify,[status(thm)],[f_140_4]) ).
fof(f_141_1,plain,
! [X] :
( ( cC4(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC4(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_140]) ).
fof(f_141_2,plain,
! [U_628] :
( ( cC4(U_628)
| ! [U_627] :
( ~ cC2xcomp(U_627)
| ~ rR1(U_628,U_627) ) )
& ( ? [U_626] :
( cC2xcomp(U_626)
& rR1(U_628,U_626) )
| ~ cC4(U_628) ) ),
inference(variable_rename,[status(thm)],[f_141_1]) ).
fof(f_141_3,plain,
( ! [U_630] :
( cC4(U_630)
| ! [U_627] :
( ~ cC2xcomp(U_627)
| ~ rR1(U_630,U_627) ) )
& ! [U_629] :
( ? [U_626] :
( cC2xcomp(U_626)
& rR1(U_629,U_626) )
| ~ cC4(U_629) ) ),
inference(miniscope,[status(thm)],[f_141_2]) ).
fof(f_141_4,plain,
( ! [U_630] :
( cC4(U_630)
| ! [U_627] :
( ~ cC2xcomp(U_627)
| ~ rR1(U_630,U_627) ) )
& ! [U_629] :
( ( cC2xcomp(sK104(U_629))
& rR1(U_629,sK104(U_629)) )
| ~ cC4(U_629) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104]),skolemize(U_626,sK104(U_629))],[f_141_3]) ).
cnf(f_141_5,plain,
( rR1(U_629,sK104(U_629))
| ~ cC4(U_629) ),
inference(clausify,[status(thm)],[f_141_4]) ).
cnf(f_141_6,plain,
( cC2xcomp(sK104(U_629))
| ~ cC4(U_629) ),
inference(clausify,[status(thm)],[f_141_4]) ).
cnf(f_141_7,plain,
( cC4(U_630)
| ~ cC2xcomp(U_627)
| ~ rR1(U_630,U_627) ),
inference(clausify,[status(thm)],[f_141_4]) ).
fof(f_142_1,plain,
! [X] :
( ( cC40(X)
| ! [Y0] : ~ ra_Px86(X,Y0) )
& ( ? [Y0] : ra_Px86(X,Y0)
| ~ cC40(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_141]) ).
fof(f_142_2,plain,
! [U_633] :
( ( cC40(U_633)
| ! [U_632] : ~ ra_Px86(U_633,U_632) )
& ( ? [U_631] : ra_Px86(U_633,U_631)
| ~ cC40(U_633) ) ),
inference(variable_rename,[status(thm)],[f_142_1]) ).
fof(f_142_3,plain,
( ! [U_635] :
( cC40(U_635)
| ! [U_632] : ~ ra_Px86(U_635,U_632) )
& ! [U_634] :
( ? [U_631] : ra_Px86(U_634,U_631)
| ~ cC40(U_634) ) ),
inference(miniscope,[status(thm)],[f_142_2]) ).
fof(f_142_4,plain,
( ! [U_635] :
( cC40(U_635)
| ! [U_632] : ~ ra_Px86(U_635,U_632) )
& ! [U_634] :
( ra_Px86(U_634,sK105(U_634))
| ~ cC40(U_634) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK105]),skolemize(U_631,sK105(U_634))],[f_142_3]) ).
cnf(f_142_5,plain,
( ra_Px86(U_634,sK105(U_634))
| ~ cC40(U_634) ),
inference(clausify,[status(thm)],[f_142_4]) ).
cnf(f_142_6,plain,
( cC40(U_635)
| ~ ra_Px86(U_635,U_632) ),
inference(clausify,[status(thm)],[f_142_4]) ).
fof(f_143_1,plain,
! [X] :
( ( cC40(X)
| ~ cC38xcomp(X)
| ~ cC32xcomp(X) )
& ( ( cC38xcomp(X)
& cC32xcomp(X) )
| ~ cC40(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_142]) ).
fof(f_143_2,plain,
! [U_636] :
( ( cC40(U_636)
| ~ cC38xcomp(U_636)
| ~ cC32xcomp(U_636) )
& ( ( cC38xcomp(U_636)
& cC32xcomp(U_636) )
| ~ cC40(U_636) ) ),
inference(variable_rename,[status(thm)],[f_143_1]) ).
fof(f_143_3,plain,
( ! [U_638] :
( cC40(U_638)
| ~ cC38xcomp(U_638)
| ~ cC32xcomp(U_638) )
& ! [U_637] :
( ( cC38xcomp(U_637)
& cC32xcomp(U_637) )
| ~ cC40(U_637) ) ),
inference(miniscope,[status(thm)],[f_143_2]) ).
cnf(f_143_4,plain,
( cC32xcomp(U_637)
| ~ cC40(U_637) ),
inference(clausify,[status(thm)],[f_143_3]) ).
cnf(f_143_5,plain,
( cC38xcomp(U_637)
| ~ cC40(U_637) ),
inference(clausify,[status(thm)],[f_143_3]) ).
cnf(f_143_6,plain,
( cC40(U_638)
| ~ cC38xcomp(U_638)
| ~ cC32xcomp(U_638) ),
inference(clausify,[status(thm)],[f_143_3]) ).
fof(f_144_1,plain,
! [X] :
( ( cC40xcomp(X)
| ? [Y] : ra_Px86(X,Y) )
& ( ! [Y] : ~ ra_Px86(X,Y)
| ~ cC40xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_143]) ).
fof(f_144_2,plain,
! [U_641] :
( ( cC40xcomp(U_641)
| ? [U_640] : ra_Px86(U_641,U_640) )
& ( ! [U_639] : ~ ra_Px86(U_641,U_639)
| ~ cC40xcomp(U_641) ) ),
inference(variable_rename,[status(thm)],[f_144_1]) ).
fof(f_144_3,plain,
( ! [U_643] :
( cC40xcomp(U_643)
| ? [U_640] : ra_Px86(U_643,U_640) )
& ! [U_642] :
( ! [U_639] : ~ ra_Px86(U_642,U_639)
| ~ cC40xcomp(U_642) ) ),
inference(miniscope,[status(thm)],[f_144_2]) ).
fof(f_144_4,plain,
( ! [U_643] :
( cC40xcomp(U_643)
| ra_Px86(U_643,sK106(U_643)) )
& ! [U_642] :
( ! [U_639] : ~ ra_Px86(U_642,U_639)
| ~ cC40xcomp(U_642) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK106]),skolemize(U_640,sK106(U_643))],[f_144_3]) ).
cnf(f_144_5,plain,
( ~ ra_Px86(U_642,U_639)
| ~ cC40xcomp(U_642) ),
inference(clausify,[status(thm)],[f_144_4]) ).
cnf(f_144_6,plain,
( cC40xcomp(U_643)
| ra_Px86(U_643,sK106(U_643)) ),
inference(clausify,[status(thm)],[f_144_4]) ).
fof(f_145_1,plain,
! [X] :
( ( cC42(X)
| ! [Y0] : ~ ra_Px14(X,Y0) )
& ( ? [Y0] : ra_Px14(X,Y0)
| ~ cC42(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_144]) ).
fof(f_145_2,plain,
! [U_646] :
( ( cC42(U_646)
| ! [U_645] : ~ ra_Px14(U_646,U_645) )
& ( ? [U_644] : ra_Px14(U_646,U_644)
| ~ cC42(U_646) ) ),
inference(variable_rename,[status(thm)],[f_145_1]) ).
fof(f_145_3,plain,
( ! [U_648] :
( cC42(U_648)
| ! [U_645] : ~ ra_Px14(U_648,U_645) )
& ! [U_647] :
( ? [U_644] : ra_Px14(U_647,U_644)
| ~ cC42(U_647) ) ),
inference(miniscope,[status(thm)],[f_145_2]) ).
fof(f_145_4,plain,
( ! [U_648] :
( cC42(U_648)
| ! [U_645] : ~ ra_Px14(U_648,U_645) )
& ! [U_647] :
( ra_Px14(U_647,sK107(U_647))
| ~ cC42(U_647) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK107]),skolemize(U_644,sK107(U_647))],[f_145_3]) ).
cnf(f_145_5,plain,
( ra_Px14(U_647,sK107(U_647))
| ~ cC42(U_647) ),
inference(clausify,[status(thm)],[f_145_4]) ).
cnf(f_145_6,plain,
( cC42(U_648)
| ~ ra_Px14(U_648,U_645) ),
inference(clausify,[status(thm)],[f_145_4]) ).
fof(f_146_1,plain,
! [X] :
( ( cC42(X)
| ! [Y] :
( ~ cC40(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC40(Y)
& rR1(X,Y) )
| ~ cC42(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_145]) ).
fof(f_146_2,plain,
! [U_651] :
( ( cC42(U_651)
| ! [U_650] :
( ~ cC40(U_650)
| ~ rR1(U_651,U_650) ) )
& ( ? [U_649] :
( cC40(U_649)
& rR1(U_651,U_649) )
| ~ cC42(U_651) ) ),
inference(variable_rename,[status(thm)],[f_146_1]) ).
fof(f_146_3,plain,
( ! [U_653] :
( cC42(U_653)
| ! [U_650] :
( ~ cC40(U_650)
| ~ rR1(U_653,U_650) ) )
& ! [U_652] :
( ? [U_649] :
( cC40(U_649)
& rR1(U_652,U_649) )
| ~ cC42(U_652) ) ),
inference(miniscope,[status(thm)],[f_146_2]) ).
fof(f_146_4,plain,
( ! [U_653] :
( cC42(U_653)
| ! [U_650] :
( ~ cC40(U_650)
| ~ rR1(U_653,U_650) ) )
& ! [U_652] :
( ( cC40(sK108(U_652))
& rR1(U_652,sK108(U_652)) )
| ~ cC42(U_652) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK108]),skolemize(U_649,sK108(U_652))],[f_146_3]) ).
cnf(f_146_5,plain,
( rR1(U_652,sK108(U_652))
| ~ cC42(U_652) ),
inference(clausify,[status(thm)],[f_146_4]) ).
cnf(f_146_6,plain,
( cC40(sK108(U_652))
| ~ cC42(U_652) ),
inference(clausify,[status(thm)],[f_146_4]) ).
cnf(f_146_7,plain,
( cC42(U_653)
| ~ cC40(U_650)
| ~ rR1(U_653,U_650) ),
inference(clausify,[status(thm)],[f_146_4]) ).
fof(f_147_1,plain,
! [X] :
( ( cC42xcomp(X)
| ? [Y] : ra_Px14(X,Y) )
& ( ! [Y] : ~ ra_Px14(X,Y)
| ~ cC42xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_146]) ).
fof(f_147_2,plain,
! [U_656] :
( ( cC42xcomp(U_656)
| ? [U_655] : ra_Px14(U_656,U_655) )
& ( ! [U_654] : ~ ra_Px14(U_656,U_654)
| ~ cC42xcomp(U_656) ) ),
inference(variable_rename,[status(thm)],[f_147_1]) ).
fof(f_147_3,plain,
( ! [U_658] :
( cC42xcomp(U_658)
| ? [U_655] : ra_Px14(U_658,U_655) )
& ! [U_657] :
( ! [U_654] : ~ ra_Px14(U_657,U_654)
| ~ cC42xcomp(U_657) ) ),
inference(miniscope,[status(thm)],[f_147_2]) ).
fof(f_147_4,plain,
( ! [U_658] :
( cC42xcomp(U_658)
| ra_Px14(U_658,sK109(U_658)) )
& ! [U_657] :
( ! [U_654] : ~ ra_Px14(U_657,U_654)
| ~ cC42xcomp(U_657) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK109]),skolemize(U_655,sK109(U_658))],[f_147_3]) ).
cnf(f_147_5,plain,
( ~ ra_Px14(U_657,U_654)
| ~ cC42xcomp(U_657) ),
inference(clausify,[status(thm)],[f_147_4]) ).
cnf(f_147_6,plain,
( cC42xcomp(U_658)
| ra_Px14(U_658,sK109(U_658)) ),
inference(clausify,[status(thm)],[f_147_4]) ).
fof(f_148_1,plain,
! [X] :
( ( cC44(X)
| ~ cC32xcomp(X)
| ~ cC42xcomp(X) )
& ( ( cC32xcomp(X)
& cC42xcomp(X) )
| ~ cC44(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_147]) ).
fof(f_148_2,plain,
! [U_659] :
( ( cC44(U_659)
| ~ cC32xcomp(U_659)
| ~ cC42xcomp(U_659) )
& ( ( cC32xcomp(U_659)
& cC42xcomp(U_659) )
| ~ cC44(U_659) ) ),
inference(variable_rename,[status(thm)],[f_148_1]) ).
fof(f_148_3,plain,
( ! [U_661] :
( cC44(U_661)
| ~ cC32xcomp(U_661)
| ~ cC42xcomp(U_661) )
& ! [U_660] :
( ( cC32xcomp(U_660)
& cC42xcomp(U_660) )
| ~ cC44(U_660) ) ),
inference(miniscope,[status(thm)],[f_148_2]) ).
cnf(f_148_4,plain,
( cC42xcomp(U_660)
| ~ cC44(U_660) ),
inference(clausify,[status(thm)],[f_148_3]) ).
cnf(f_148_5,plain,
( cC32xcomp(U_660)
| ~ cC44(U_660) ),
inference(clausify,[status(thm)],[f_148_3]) ).
cnf(f_148_6,plain,
( cC44(U_661)
| ~ cC32xcomp(U_661)
| ~ cC42xcomp(U_661) ),
inference(clausify,[status(thm)],[f_148_3]) ).
fof(f_149_1,plain,
! [X] :
( ( cC46(X)
| ~ cC44(X)
| ~ cC30(X) )
& ( ( cC44(X)
& cC30(X) )
| ~ cC46(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_148]) ).
fof(f_149_2,plain,
! [U_662] :
( ( cC46(U_662)
| ~ cC44(U_662)
| ~ cC30(U_662) )
& ( ( cC44(U_662)
& cC30(U_662) )
| ~ cC46(U_662) ) ),
inference(variable_rename,[status(thm)],[f_149_1]) ).
fof(f_149_3,plain,
( ! [U_664] :
( cC46(U_664)
| ~ cC44(U_664)
| ~ cC30(U_664) )
& ! [U_663] :
( ( cC44(U_663)
& cC30(U_663) )
| ~ cC46(U_663) ) ),
inference(miniscope,[status(thm)],[f_149_2]) ).
cnf(f_149_4,plain,
( cC30(U_663)
| ~ cC46(U_663) ),
inference(clausify,[status(thm)],[f_149_3]) ).
cnf(f_149_5,plain,
( cC44(U_663)
| ~ cC46(U_663) ),
inference(clausify,[status(thm)],[f_149_3]) ).
cnf(f_149_6,plain,
( cC46(U_664)
| ~ cC44(U_664)
| ~ cC30(U_664) ),
inference(clausify,[status(thm)],[f_149_3]) ).
fof(f_150_1,plain,
! [X] :
( ( cC48(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC48(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_149]) ).
fof(f_150_2,plain,
! [U_667] :
( ( cC48(U_667)
| ! [U_666] :
( ~ cC16xcomp(U_666)
| ~ rR1(U_667,U_666) ) )
& ( ? [U_665] :
( cC16xcomp(U_665)
& rR1(U_667,U_665) )
| ~ cC48(U_667) ) ),
inference(variable_rename,[status(thm)],[f_150_1]) ).
fof(f_150_3,plain,
( ! [U_669] :
( cC48(U_669)
| ! [U_666] :
( ~ cC16xcomp(U_666)
| ~ rR1(U_669,U_666) ) )
& ! [U_668] :
( ? [U_665] :
( cC16xcomp(U_665)
& rR1(U_668,U_665) )
| ~ cC48(U_668) ) ),
inference(miniscope,[status(thm)],[f_150_2]) ).
fof(f_150_4,plain,
( ! [U_669] :
( cC48(U_669)
| ! [U_666] :
( ~ cC16xcomp(U_666)
| ~ rR1(U_669,U_666) ) )
& ! [U_668] :
( ( cC16xcomp(sK110(U_668))
& rR1(U_668,sK110(U_668)) )
| ~ cC48(U_668) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK110]),skolemize(U_665,sK110(U_668))],[f_150_3]) ).
cnf(f_150_5,plain,
( rR1(U_668,sK110(U_668))
| ~ cC48(U_668) ),
inference(clausify,[status(thm)],[f_150_4]) ).
cnf(f_150_6,plain,
( cC16xcomp(sK110(U_668))
| ~ cC48(U_668) ),
inference(clausify,[status(thm)],[f_150_4]) ).
cnf(f_150_7,plain,
( cC48(U_669)
| ~ cC16xcomp(U_666)
| ~ rR1(U_669,U_666) ),
inference(clausify,[status(thm)],[f_150_4]) ).
fof(f_151_1,plain,
! [X] :
( ( cC50(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC50(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_150]) ).
fof(f_151_2,plain,
! [U_672] :
( ( cC50(U_672)
| ! [U_671] :
( ~ cC16xcomp(U_671)
| ~ rR1(U_672,U_671) ) )
& ( ? [U_670] :
( cC16xcomp(U_670)
& rR1(U_672,U_670) )
| ~ cC50(U_672) ) ),
inference(variable_rename,[status(thm)],[f_151_1]) ).
fof(f_151_3,plain,
( ! [U_674] :
( cC50(U_674)
| ! [U_671] :
( ~ cC16xcomp(U_671)
| ~ rR1(U_674,U_671) ) )
& ! [U_673] :
( ? [U_670] :
( cC16xcomp(U_670)
& rR1(U_673,U_670) )
| ~ cC50(U_673) ) ),
inference(miniscope,[status(thm)],[f_151_2]) ).
fof(f_151_4,plain,
( ! [U_674] :
( cC50(U_674)
| ! [U_671] :
( ~ cC16xcomp(U_671)
| ~ rR1(U_674,U_671) ) )
& ! [U_673] :
( ( cC16xcomp(sK111(U_673))
& rR1(U_673,sK111(U_673)) )
| ~ cC50(U_673) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK111]),skolemize(U_670,sK111(U_673))],[f_151_3]) ).
cnf(f_151_5,plain,
( rR1(U_673,sK111(U_673))
| ~ cC50(U_673) ),
inference(clausify,[status(thm)],[f_151_4]) ).
cnf(f_151_6,plain,
( cC16xcomp(sK111(U_673))
| ~ cC50(U_673) ),
inference(clausify,[status(thm)],[f_151_4]) ).
cnf(f_151_7,plain,
( cC50(U_674)
| ~ cC16xcomp(U_671)
| ~ rR1(U_674,U_671) ),
inference(clausify,[status(thm)],[f_151_4]) ).
fof(f_152_1,plain,
! [X] :
( ( cC52(X)
| ~ cC16(X)
| ~ cC50(X) )
& ( ( cC16(X)
& cC50(X) )
| ~ cC52(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_151]) ).
fof(f_152_2,plain,
! [U_675] :
( ( cC52(U_675)
| ~ cC16(U_675)
| ~ cC50(U_675) )
& ( ( cC16(U_675)
& cC50(U_675) )
| ~ cC52(U_675) ) ),
inference(variable_rename,[status(thm)],[f_152_1]) ).
fof(f_152_3,plain,
( ! [U_677] :
( cC52(U_677)
| ~ cC16(U_677)
| ~ cC50(U_677) )
& ! [U_676] :
( ( cC16(U_676)
& cC50(U_676) )
| ~ cC52(U_676) ) ),
inference(miniscope,[status(thm)],[f_152_2]) ).
cnf(f_152_4,plain,
( cC50(U_676)
| ~ cC52(U_676) ),
inference(clausify,[status(thm)],[f_152_3]) ).
cnf(f_152_5,plain,
( cC16(U_676)
| ~ cC52(U_676) ),
inference(clausify,[status(thm)],[f_152_3]) ).
cnf(f_152_6,plain,
( cC52(U_677)
| ~ cC16(U_677)
| ~ cC50(U_677) ),
inference(clausify,[status(thm)],[f_152_3]) ).
fof(f_153_1,plain,
! [X] :
( ( cC54(X)
| ! [Y0] : ~ ra_Px18(X,Y0) )
& ( ? [Y0] : ra_Px18(X,Y0)
| ~ cC54(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_152]) ).
fof(f_153_2,plain,
! [U_680] :
( ( cC54(U_680)
| ! [U_679] : ~ ra_Px18(U_680,U_679) )
& ( ? [U_678] : ra_Px18(U_680,U_678)
| ~ cC54(U_680) ) ),
inference(variable_rename,[status(thm)],[f_153_1]) ).
fof(f_153_3,plain,
( ! [U_682] :
( cC54(U_682)
| ! [U_679] : ~ ra_Px18(U_682,U_679) )
& ! [U_681] :
( ? [U_678] : ra_Px18(U_681,U_678)
| ~ cC54(U_681) ) ),
inference(miniscope,[status(thm)],[f_153_2]) ).
fof(f_153_4,plain,
( ! [U_682] :
( cC54(U_682)
| ! [U_679] : ~ ra_Px18(U_682,U_679) )
& ! [U_681] :
( ra_Px18(U_681,sK112(U_681))
| ~ cC54(U_681) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK112]),skolemize(U_678,sK112(U_681))],[f_153_3]) ).
cnf(f_153_5,plain,
( ra_Px18(U_681,sK112(U_681))
| ~ cC54(U_681) ),
inference(clausify,[status(thm)],[f_153_4]) ).
cnf(f_153_6,plain,
( cC54(U_682)
| ~ ra_Px18(U_682,U_679) ),
inference(clausify,[status(thm)],[f_153_4]) ).
fof(f_154_1,plain,
! [X] :
( ( cC54(X)
| ! [Y] :
( ~ cC52(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC52(Y)
& rR1(X,Y) )
| ~ cC54(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_153]) ).
fof(f_154_2,plain,
! [U_685] :
( ( cC54(U_685)
| ! [U_684] :
( ~ cC52(U_684)
| ~ rR1(U_685,U_684) ) )
& ( ? [U_683] :
( cC52(U_683)
& rR1(U_685,U_683) )
| ~ cC54(U_685) ) ),
inference(variable_rename,[status(thm)],[f_154_1]) ).
fof(f_154_3,plain,
( ! [U_687] :
( cC54(U_687)
| ! [U_684] :
( ~ cC52(U_684)
| ~ rR1(U_687,U_684) ) )
& ! [U_686] :
( ? [U_683] :
( cC52(U_683)
& rR1(U_686,U_683) )
| ~ cC54(U_686) ) ),
inference(miniscope,[status(thm)],[f_154_2]) ).
fof(f_154_4,plain,
( ! [U_687] :
( cC54(U_687)
| ! [U_684] :
( ~ cC52(U_684)
| ~ rR1(U_687,U_684) ) )
& ! [U_686] :
( ( cC52(sK113(U_686))
& rR1(U_686,sK113(U_686)) )
| ~ cC54(U_686) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK113]),skolemize(U_683,sK113(U_686))],[f_154_3]) ).
cnf(f_154_5,plain,
( rR1(U_686,sK113(U_686))
| ~ cC54(U_686) ),
inference(clausify,[status(thm)],[f_154_4]) ).
cnf(f_154_6,plain,
( cC52(sK113(U_686))
| ~ cC54(U_686) ),
inference(clausify,[status(thm)],[f_154_4]) ).
cnf(f_154_7,plain,
( cC54(U_687)
| ~ cC52(U_684)
| ~ rR1(U_687,U_684) ),
inference(clausify,[status(thm)],[f_154_4]) ).
fof(f_155_1,plain,
! [X] :
( ( cC54xcomp(X)
| ? [Y] : ra_Px18(X,Y) )
& ( ! [Y] : ~ ra_Px18(X,Y)
| ~ cC54xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_154]) ).
fof(f_155_2,plain,
! [U_690] :
( ( cC54xcomp(U_690)
| ? [U_689] : ra_Px18(U_690,U_689) )
& ( ! [U_688] : ~ ra_Px18(U_690,U_688)
| ~ cC54xcomp(U_690) ) ),
inference(variable_rename,[status(thm)],[f_155_1]) ).
fof(f_155_3,plain,
( ! [U_692] :
( cC54xcomp(U_692)
| ? [U_689] : ra_Px18(U_692,U_689) )
& ! [U_691] :
( ! [U_688] : ~ ra_Px18(U_691,U_688)
| ~ cC54xcomp(U_691) ) ),
inference(miniscope,[status(thm)],[f_155_2]) ).
fof(f_155_4,plain,
( ! [U_692] :
( cC54xcomp(U_692)
| ra_Px18(U_692,sK114(U_692)) )
& ! [U_691] :
( ! [U_688] : ~ ra_Px18(U_691,U_688)
| ~ cC54xcomp(U_691) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK114]),skolemize(U_689,sK114(U_692))],[f_155_3]) ).
cnf(f_155_5,plain,
( ~ ra_Px18(U_691,U_688)
| ~ cC54xcomp(U_691) ),
inference(clausify,[status(thm)],[f_155_4]) ).
cnf(f_155_6,plain,
( cC54xcomp(U_692)
| ra_Px18(U_692,sK114(U_692)) ),
inference(clausify,[status(thm)],[f_155_4]) ).
fof(f_156_1,plain,
! [X] :
( ( cC56(X)
| ~ cC54xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC54xcomp(X)
& cC16xcomp(X) )
| ~ cC56(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_155]) ).
fof(f_156_2,plain,
! [U_693] :
( ( cC56(U_693)
| ~ cC54xcomp(U_693)
| ~ cC16xcomp(U_693) )
& ( ( cC54xcomp(U_693)
& cC16xcomp(U_693) )
| ~ cC56(U_693) ) ),
inference(variable_rename,[status(thm)],[f_156_1]) ).
fof(f_156_3,plain,
( ! [U_695] :
( cC56(U_695)
| ~ cC54xcomp(U_695)
| ~ cC16xcomp(U_695) )
& ! [U_694] :
( ( cC54xcomp(U_694)
& cC16xcomp(U_694) )
| ~ cC56(U_694) ) ),
inference(miniscope,[status(thm)],[f_156_2]) ).
cnf(f_156_4,plain,
( cC16xcomp(U_694)
| ~ cC56(U_694) ),
inference(clausify,[status(thm)],[f_156_3]) ).
cnf(f_156_5,plain,
( cC54xcomp(U_694)
| ~ cC56(U_694) ),
inference(clausify,[status(thm)],[f_156_3]) ).
cnf(f_156_6,plain,
( cC56(U_695)
| ~ cC54xcomp(U_695)
| ~ cC16xcomp(U_695) ),
inference(clausify,[status(thm)],[f_156_3]) ).
fof(f_157_1,plain,
! [X] :
( ( cC58(X)
| ? [Y] : ra_Px19(X,Y) )
& ( ! [Y] : ~ ra_Px19(X,Y)
| ~ cC58(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_156]) ).
fof(f_157_2,plain,
! [U_698] :
( ( cC58(U_698)
| ? [U_697] : ra_Px19(U_698,U_697) )
& ( ! [U_696] : ~ ra_Px19(U_698,U_696)
| ~ cC58(U_698) ) ),
inference(variable_rename,[status(thm)],[f_157_1]) ).
fof(f_157_3,plain,
( ! [U_700] :
( cC58(U_700)
| ? [U_697] : ra_Px19(U_700,U_697) )
& ! [U_699] :
( ! [U_696] : ~ ra_Px19(U_699,U_696)
| ~ cC58(U_699) ) ),
inference(miniscope,[status(thm)],[f_157_2]) ).
fof(f_157_4,plain,
( ! [U_700] :
( cC58(U_700)
| ra_Px19(U_700,sK115(U_700)) )
& ! [U_699] :
( ! [U_696] : ~ ra_Px19(U_699,U_696)
| ~ cC58(U_699) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK115]),skolemize(U_697,sK115(U_700))],[f_157_3]) ).
cnf(f_157_5,plain,
( ~ ra_Px19(U_699,U_696)
| ~ cC58(U_699) ),
inference(clausify,[status(thm)],[f_157_4]) ).
cnf(f_157_6,plain,
( cC58(U_700)
| ra_Px19(U_700,sK115(U_700)) ),
inference(clausify,[status(thm)],[f_157_4]) ).
fof(f_158_1,plain,
! [X] :
( ( cC58(X)
| ! [Y] :
( ~ cC56(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC56(Y)
& rR1(X,Y) )
| ~ cC58(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_157]) ).
fof(f_158_2,plain,
! [U_703] :
( ( cC58(U_703)
| ! [U_702] :
( ~ cC56(U_702)
| ~ rR1(U_703,U_702) ) )
& ( ? [U_701] :
( cC56(U_701)
& rR1(U_703,U_701) )
| ~ cC58(U_703) ) ),
inference(variable_rename,[status(thm)],[f_158_1]) ).
fof(f_158_3,plain,
( ! [U_705] :
( cC58(U_705)
| ! [U_702] :
( ~ cC56(U_702)
| ~ rR1(U_705,U_702) ) )
& ! [U_704] :
( ? [U_701] :
( cC56(U_701)
& rR1(U_704,U_701) )
| ~ cC58(U_704) ) ),
inference(miniscope,[status(thm)],[f_158_2]) ).
fof(f_158_4,plain,
( ! [U_705] :
( cC58(U_705)
| ! [U_702] :
( ~ cC56(U_702)
| ~ rR1(U_705,U_702) ) )
& ! [U_704] :
( ( cC56(sK116(U_704))
& rR1(U_704,sK116(U_704)) )
| ~ cC58(U_704) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK116]),skolemize(U_701,sK116(U_704))],[f_158_3]) ).
cnf(f_158_5,plain,
( rR1(U_704,sK116(U_704))
| ~ cC58(U_704) ),
inference(clausify,[status(thm)],[f_158_4]) ).
cnf(f_158_6,plain,
( cC56(sK116(U_704))
| ~ cC58(U_704) ),
inference(clausify,[status(thm)],[f_158_4]) ).
cnf(f_158_7,plain,
( cC58(U_705)
| ~ cC56(U_702)
| ~ rR1(U_705,U_702) ),
inference(clausify,[status(thm)],[f_158_4]) ).
fof(f_159_1,plain,
! [X] :
( ( cC58xcomp(X)
| ! [Y0] : ~ ra_Px19(X,Y0) )
& ( ? [Y0] : ra_Px19(X,Y0)
| ~ cC58xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_158]) ).
fof(f_159_2,plain,
! [U_708] :
( ( cC58xcomp(U_708)
| ! [U_707] : ~ ra_Px19(U_708,U_707) )
& ( ? [U_706] : ra_Px19(U_708,U_706)
| ~ cC58xcomp(U_708) ) ),
inference(variable_rename,[status(thm)],[f_159_1]) ).
fof(f_159_3,plain,
( ! [U_710] :
( cC58xcomp(U_710)
| ! [U_707] : ~ ra_Px19(U_710,U_707) )
& ! [U_709] :
( ? [U_706] : ra_Px19(U_709,U_706)
| ~ cC58xcomp(U_709) ) ),
inference(miniscope,[status(thm)],[f_159_2]) ).
fof(f_159_4,plain,
( ! [U_710] :
( cC58xcomp(U_710)
| ! [U_707] : ~ ra_Px19(U_710,U_707) )
& ! [U_709] :
( ra_Px19(U_709,sK117(U_709))
| ~ cC58xcomp(U_709) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK117]),skolemize(U_706,sK117(U_709))],[f_159_3]) ).
cnf(f_159_5,plain,
( ra_Px19(U_709,sK117(U_709))
| ~ cC58xcomp(U_709) ),
inference(clausify,[status(thm)],[f_159_4]) ).
cnf(f_159_6,plain,
( cC58xcomp(U_710)
| ~ ra_Px19(U_710,U_707) ),
inference(clausify,[status(thm)],[f_159_4]) ).
fof(f_160_1,plain,
! [X] :
( ( cC6(X)
| ~ cC4(X)
| ~ cC2(X) )
& ( ( cC4(X)
& cC2(X) )
| ~ cC6(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_159]) ).
fof(f_160_2,plain,
! [U_711] :
( ( cC6(U_711)
| ~ cC4(U_711)
| ~ cC2(U_711) )
& ( ( cC4(U_711)
& cC2(U_711) )
| ~ cC6(U_711) ) ),
inference(variable_rename,[status(thm)],[f_160_1]) ).
fof(f_160_3,plain,
( ! [U_713] :
( cC6(U_713)
| ~ cC4(U_713)
| ~ cC2(U_713) )
& ! [U_712] :
( ( cC4(U_712)
& cC2(U_712) )
| ~ cC6(U_712) ) ),
inference(miniscope,[status(thm)],[f_160_2]) ).
cnf(f_160_4,plain,
( cC2(U_712)
| ~ cC6(U_712) ),
inference(clausify,[status(thm)],[f_160_3]) ).
cnf(f_160_5,plain,
( cC4(U_712)
| ~ cC6(U_712) ),
inference(clausify,[status(thm)],[f_160_3]) ).
cnf(f_160_6,plain,
( cC6(U_713)
| ~ cC4(U_713)
| ~ cC2(U_713) ),
inference(clausify,[status(thm)],[f_160_3]) ).
fof(f_161_1,plain,
! [X] :
( ( cC60(X)
| ? [Y] : ra_Px85(X,Y) )
& ( ! [Y] : ~ ra_Px85(X,Y)
| ~ cC60(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_160]) ).
fof(f_161_2,plain,
! [U_716] :
( ( cC60(U_716)
| ? [U_715] : ra_Px85(U_716,U_715) )
& ( ! [U_714] : ~ ra_Px85(U_716,U_714)
| ~ cC60(U_716) ) ),
inference(variable_rename,[status(thm)],[f_161_1]) ).
fof(f_161_3,plain,
( ! [U_718] :
( cC60(U_718)
| ? [U_715] : ra_Px85(U_718,U_715) )
& ! [U_717] :
( ! [U_714] : ~ ra_Px85(U_717,U_714)
| ~ cC60(U_717) ) ),
inference(miniscope,[status(thm)],[f_161_2]) ).
fof(f_161_4,plain,
( ! [U_718] :
( cC60(U_718)
| ra_Px85(U_718,sK118(U_718)) )
& ! [U_717] :
( ! [U_714] : ~ ra_Px85(U_717,U_714)
| ~ cC60(U_717) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK118]),skolemize(U_715,sK118(U_718))],[f_161_3]) ).
cnf(f_161_5,plain,
( ~ ra_Px85(U_717,U_714)
| ~ cC60(U_717) ),
inference(clausify,[status(thm)],[f_161_4]) ).
cnf(f_161_6,plain,
( cC60(U_718)
| ra_Px85(U_718,sK118(U_718)) ),
inference(clausify,[status(thm)],[f_161_4]) ).
fof(f_162_1,plain,
! [X] :
( ( cC60(X)
| ~ cC58xcomp(X)
| ~ cC48(X) )
& ( ( cC58xcomp(X)
& cC48(X) )
| ~ cC60(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_161]) ).
fof(f_162_2,plain,
! [U_719] :
( ( cC60(U_719)
| ~ cC58xcomp(U_719)
| ~ cC48(U_719) )
& ( ( cC58xcomp(U_719)
& cC48(U_719) )
| ~ cC60(U_719) ) ),
inference(variable_rename,[status(thm)],[f_162_1]) ).
fof(f_162_3,plain,
( ! [U_721] :
( cC60(U_721)
| ~ cC58xcomp(U_721)
| ~ cC48(U_721) )
& ! [U_720] :
( ( cC58xcomp(U_720)
& cC48(U_720) )
| ~ cC60(U_720) ) ),
inference(miniscope,[status(thm)],[f_162_2]) ).
cnf(f_162_4,plain,
( cC48(U_720)
| ~ cC60(U_720) ),
inference(clausify,[status(thm)],[f_162_3]) ).
cnf(f_162_5,plain,
( cC58xcomp(U_720)
| ~ cC60(U_720) ),
inference(clausify,[status(thm)],[f_162_3]) ).
cnf(f_162_6,plain,
( cC60(U_721)
| ~ cC58xcomp(U_721)
| ~ cC48(U_721) ),
inference(clausify,[status(thm)],[f_162_3]) ).
fof(f_163_1,plain,
! [X] :
( ( cC60xcomp(X)
| ! [Y0] : ~ ra_Px85(X,Y0) )
& ( ? [Y0] : ra_Px85(X,Y0)
| ~ cC60xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_162]) ).
fof(f_163_2,plain,
! [U_724] :
( ( cC60xcomp(U_724)
| ! [U_723] : ~ ra_Px85(U_724,U_723) )
& ( ? [U_722] : ra_Px85(U_724,U_722)
| ~ cC60xcomp(U_724) ) ),
inference(variable_rename,[status(thm)],[f_163_1]) ).
fof(f_163_3,plain,
( ! [U_726] :
( cC60xcomp(U_726)
| ! [U_723] : ~ ra_Px85(U_726,U_723) )
& ! [U_725] :
( ? [U_722] : ra_Px85(U_725,U_722)
| ~ cC60xcomp(U_725) ) ),
inference(miniscope,[status(thm)],[f_163_2]) ).
fof(f_163_4,plain,
( ! [U_726] :
( cC60xcomp(U_726)
| ! [U_723] : ~ ra_Px85(U_726,U_723) )
& ! [U_725] :
( ra_Px85(U_725,sK119(U_725))
| ~ cC60xcomp(U_725) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK119]),skolemize(U_722,sK119(U_725))],[f_163_3]) ).
cnf(f_163_5,plain,
( ra_Px85(U_725,sK119(U_725))
| ~ cC60xcomp(U_725) ),
inference(clausify,[status(thm)],[f_163_4]) ).
cnf(f_163_6,plain,
( cC60xcomp(U_726)
| ~ ra_Px85(U_726,U_723) ),
inference(clausify,[status(thm)],[f_163_4]) ).
fof(f_164_1,plain,
! [X] :
( ( cC62(X)
| ! [Y] :
( ~ cC60(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC60(Y)
& rR1(X,Y) )
| ~ cC62(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_163]) ).
fof(f_164_2,plain,
! [U_729] :
( ( cC62(U_729)
| ! [U_728] :
( ~ cC60(U_728)
| ~ rR1(U_729,U_728) ) )
& ( ? [U_727] :
( cC60(U_727)
& rR1(U_729,U_727) )
| ~ cC62(U_729) ) ),
inference(variable_rename,[status(thm)],[f_164_1]) ).
fof(f_164_3,plain,
( ! [U_731] :
( cC62(U_731)
| ! [U_728] :
( ~ cC60(U_728)
| ~ rR1(U_731,U_728) ) )
& ! [U_730] :
( ? [U_727] :
( cC60(U_727)
& rR1(U_730,U_727) )
| ~ cC62(U_730) ) ),
inference(miniscope,[status(thm)],[f_164_2]) ).
fof(f_164_4,plain,
( ! [U_731] :
( cC62(U_731)
| ! [U_728] :
( ~ cC60(U_728)
| ~ rR1(U_731,U_728) ) )
& ! [U_730] :
( ( cC60(sK120(U_730))
& rR1(U_730,sK120(U_730)) )
| ~ cC62(U_730) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK120]),skolemize(U_727,sK120(U_730))],[f_164_3]) ).
cnf(f_164_5,plain,
( rR1(U_730,sK120(U_730))
| ~ cC62(U_730) ),
inference(clausify,[status(thm)],[f_164_4]) ).
cnf(f_164_6,plain,
( cC60(sK120(U_730))
| ~ cC62(U_730) ),
inference(clausify,[status(thm)],[f_164_4]) ).
cnf(f_164_7,plain,
( cC62(U_731)
| ~ cC60(U_728)
| ~ rR1(U_731,U_728) ),
inference(clausify,[status(thm)],[f_164_4]) ).
fof(f_165_1,plain,
! [X] :
( ( cC62(X)
| ! [Y0] : ~ ra_Px20(X,Y0) )
& ( ? [Y0] : ra_Px20(X,Y0)
| ~ cC62(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_164]) ).
fof(f_165_2,plain,
! [U_734] :
( ( cC62(U_734)
| ! [U_733] : ~ ra_Px20(U_734,U_733) )
& ( ? [U_732] : ra_Px20(U_734,U_732)
| ~ cC62(U_734) ) ),
inference(variable_rename,[status(thm)],[f_165_1]) ).
fof(f_165_3,plain,
( ! [U_736] :
( cC62(U_736)
| ! [U_733] : ~ ra_Px20(U_736,U_733) )
& ! [U_735] :
( ? [U_732] : ra_Px20(U_735,U_732)
| ~ cC62(U_735) ) ),
inference(miniscope,[status(thm)],[f_165_2]) ).
fof(f_165_4,plain,
( ! [U_736] :
( cC62(U_736)
| ! [U_733] : ~ ra_Px20(U_736,U_733) )
& ! [U_735] :
( ra_Px20(U_735,sK121(U_735))
| ~ cC62(U_735) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK121]),skolemize(U_732,sK121(U_735))],[f_165_3]) ).
cnf(f_165_5,plain,
( ra_Px20(U_735,sK121(U_735))
| ~ cC62(U_735) ),
inference(clausify,[status(thm)],[f_165_4]) ).
cnf(f_165_6,plain,
( cC62(U_736)
| ~ ra_Px20(U_736,U_733) ),
inference(clausify,[status(thm)],[f_165_4]) ).
fof(f_166_1,plain,
! [X] :
( ( cC62xcomp(X)
| ? [Y] : ra_Px20(X,Y) )
& ( ! [Y] : ~ ra_Px20(X,Y)
| ~ cC62xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_165]) ).
fof(f_166_2,plain,
! [U_739] :
( ( cC62xcomp(U_739)
| ? [U_738] : ra_Px20(U_739,U_738) )
& ( ! [U_737] : ~ ra_Px20(U_739,U_737)
| ~ cC62xcomp(U_739) ) ),
inference(variable_rename,[status(thm)],[f_166_1]) ).
fof(f_166_3,plain,
( ! [U_741] :
( cC62xcomp(U_741)
| ? [U_738] : ra_Px20(U_741,U_738) )
& ! [U_740] :
( ! [U_737] : ~ ra_Px20(U_740,U_737)
| ~ cC62xcomp(U_740) ) ),
inference(miniscope,[status(thm)],[f_166_2]) ).
fof(f_166_4,plain,
( ! [U_741] :
( cC62xcomp(U_741)
| ra_Px20(U_741,sK122(U_741)) )
& ! [U_740] :
( ! [U_737] : ~ ra_Px20(U_740,U_737)
| ~ cC62xcomp(U_740) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK122]),skolemize(U_738,sK122(U_741))],[f_166_3]) ).
cnf(f_166_5,plain,
( ~ ra_Px20(U_740,U_737)
| ~ cC62xcomp(U_740) ),
inference(clausify,[status(thm)],[f_166_4]) ).
cnf(f_166_6,plain,
( cC62xcomp(U_741)
| ra_Px20(U_741,sK122(U_741)) ),
inference(clausify,[status(thm)],[f_166_4]) ).
fof(f_167_1,plain,
! [X] :
( ( cC64(X)
| ~ cTOP(X)
| ~ cC62xcomp(X) )
& ( ( cTOP(X)
& cC62xcomp(X) )
| ~ cC64(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_166]) ).
fof(f_167_2,plain,
! [U_742] :
( ( cC64(U_742)
| ~ cTOP(U_742)
| ~ cC62xcomp(U_742) )
& ( ( cTOP(U_742)
& cC62xcomp(U_742) )
| ~ cC64(U_742) ) ),
inference(variable_rename,[status(thm)],[f_167_1]) ).
fof(f_167_3,plain,
( ! [U_744] :
( cC64(U_744)
| ~ cTOP(U_744)
| ~ cC62xcomp(U_744) )
& ! [U_743] :
( ( cTOP(U_743)
& cC62xcomp(U_743) )
| ~ cC64(U_743) ) ),
inference(miniscope,[status(thm)],[f_167_2]) ).
cnf(f_167_4,plain,
( cC62xcomp(U_743)
| ~ cC64(U_743) ),
inference(clausify,[status(thm)],[f_167_3]) ).
cnf(f_167_5,plain,
( cTOP(U_743)
| ~ cC64(U_743) ),
inference(clausify,[status(thm)],[f_167_3]) ).
cnf(f_167_6,plain,
( cC64(U_744)
| ~ cTOP(U_744)
| ~ cC62xcomp(U_744) ),
inference(clausify,[status(thm)],[f_167_3]) ).
fof(f_168_1,plain,
! [X] :
( ( cC66(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC66(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_167]) ).
fof(f_168_2,plain,
! [U_747] :
( ( cC66(U_747)
| ! [U_746] :
( ~ cC16xcomp(U_746)
| ~ rR1(U_747,U_746) ) )
& ( ? [U_745] :
( cC16xcomp(U_745)
& rR1(U_747,U_745) )
| ~ cC66(U_747) ) ),
inference(variable_rename,[status(thm)],[f_168_1]) ).
fof(f_168_3,plain,
( ! [U_749] :
( cC66(U_749)
| ! [U_746] :
( ~ cC16xcomp(U_746)
| ~ rR1(U_749,U_746) ) )
& ! [U_748] :
( ? [U_745] :
( cC16xcomp(U_745)
& rR1(U_748,U_745) )
| ~ cC66(U_748) ) ),
inference(miniscope,[status(thm)],[f_168_2]) ).
fof(f_168_4,plain,
( ! [U_749] :
( cC66(U_749)
| ! [U_746] :
( ~ cC16xcomp(U_746)
| ~ rR1(U_749,U_746) ) )
& ! [U_748] :
( ( cC16xcomp(sK123(U_748))
& rR1(U_748,sK123(U_748)) )
| ~ cC66(U_748) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK123]),skolemize(U_745,sK123(U_748))],[f_168_3]) ).
cnf(f_168_5,plain,
( rR1(U_748,sK123(U_748))
| ~ cC66(U_748) ),
inference(clausify,[status(thm)],[f_168_4]) ).
cnf(f_168_6,plain,
( cC16xcomp(sK123(U_748))
| ~ cC66(U_748) ),
inference(clausify,[status(thm)],[f_168_4]) ).
cnf(f_168_7,plain,
( cC66(U_749)
| ~ cC16xcomp(U_746)
| ~ rR1(U_749,U_746) ),
inference(clausify,[status(thm)],[f_168_4]) ).
fof(f_169_1,plain,
! [X] :
( ( cC68(X)
| ~ cC66(X)
| ~ cC16(X) )
& ( ( cC66(X)
& cC16(X) )
| ~ cC68(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_168]) ).
fof(f_169_2,plain,
! [U_750] :
( ( cC68(U_750)
| ~ cC66(U_750)
| ~ cC16(U_750) )
& ( ( cC66(U_750)
& cC16(U_750) )
| ~ cC68(U_750) ) ),
inference(variable_rename,[status(thm)],[f_169_1]) ).
fof(f_169_3,plain,
( ! [U_752] :
( cC68(U_752)
| ~ cC66(U_752)
| ~ cC16(U_752) )
& ! [U_751] :
( ( cC66(U_751)
& cC16(U_751) )
| ~ cC68(U_751) ) ),
inference(miniscope,[status(thm)],[f_169_2]) ).
cnf(f_169_4,plain,
( cC16(U_751)
| ~ cC68(U_751) ),
inference(clausify,[status(thm)],[f_169_3]) ).
cnf(f_169_5,plain,
( cC66(U_751)
| ~ cC68(U_751) ),
inference(clausify,[status(thm)],[f_169_3]) ).
cnf(f_169_6,plain,
( cC68(U_752)
| ~ cC66(U_752)
| ~ cC16(U_752) ),
inference(clausify,[status(thm)],[f_169_3]) ).
fof(f_170_1,plain,
! [X] :
( ( cC70(X)
| ! [Y] :
( ~ cC68(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC68(Y)
& rR1(X,Y) )
| ~ cC70(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_169]) ).
fof(f_170_2,plain,
! [U_755] :
( ( cC70(U_755)
| ! [U_754] :
( ~ cC68(U_754)
| ~ rR1(U_755,U_754) ) )
& ( ? [U_753] :
( cC68(U_753)
& rR1(U_755,U_753) )
| ~ cC70(U_755) ) ),
inference(variable_rename,[status(thm)],[f_170_1]) ).
fof(f_170_3,plain,
( ! [U_757] :
( cC70(U_757)
| ! [U_754] :
( ~ cC68(U_754)
| ~ rR1(U_757,U_754) ) )
& ! [U_756] :
( ? [U_753] :
( cC68(U_753)
& rR1(U_756,U_753) )
| ~ cC70(U_756) ) ),
inference(miniscope,[status(thm)],[f_170_2]) ).
fof(f_170_4,plain,
( ! [U_757] :
( cC70(U_757)
| ! [U_754] :
( ~ cC68(U_754)
| ~ rR1(U_757,U_754) ) )
& ! [U_756] :
( ( cC68(sK124(U_756))
& rR1(U_756,sK124(U_756)) )
| ~ cC70(U_756) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK124]),skolemize(U_753,sK124(U_756))],[f_170_3]) ).
cnf(f_170_5,plain,
( rR1(U_756,sK124(U_756))
| ~ cC70(U_756) ),
inference(clausify,[status(thm)],[f_170_4]) ).
cnf(f_170_6,plain,
( cC68(sK124(U_756))
| ~ cC70(U_756) ),
inference(clausify,[status(thm)],[f_170_4]) ).
cnf(f_170_7,plain,
( cC70(U_757)
| ~ cC68(U_754)
| ~ rR1(U_757,U_754) ),
inference(clausify,[status(thm)],[f_170_4]) ).
fof(f_171_1,plain,
! [X] :
( ( cC70(X)
| ! [Y0] : ~ ra_Px23(X,Y0) )
& ( ? [Y0] : ra_Px23(X,Y0)
| ~ cC70(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_170]) ).
fof(f_171_2,plain,
! [U_760] :
( ( cC70(U_760)
| ! [U_759] : ~ ra_Px23(U_760,U_759) )
& ( ? [U_758] : ra_Px23(U_760,U_758)
| ~ cC70(U_760) ) ),
inference(variable_rename,[status(thm)],[f_171_1]) ).
fof(f_171_3,plain,
( ! [U_762] :
( cC70(U_762)
| ! [U_759] : ~ ra_Px23(U_762,U_759) )
& ! [U_761] :
( ? [U_758] : ra_Px23(U_761,U_758)
| ~ cC70(U_761) ) ),
inference(miniscope,[status(thm)],[f_171_2]) ).
fof(f_171_4,plain,
( ! [U_762] :
( cC70(U_762)
| ! [U_759] : ~ ra_Px23(U_762,U_759) )
& ! [U_761] :
( ra_Px23(U_761,sK125(U_761))
| ~ cC70(U_761) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK125]),skolemize(U_758,sK125(U_761))],[f_171_3]) ).
cnf(f_171_5,plain,
( ra_Px23(U_761,sK125(U_761))
| ~ cC70(U_761) ),
inference(clausify,[status(thm)],[f_171_4]) ).
cnf(f_171_6,plain,
( cC70(U_762)
| ~ ra_Px23(U_762,U_759) ),
inference(clausify,[status(thm)],[f_171_4]) ).
fof(f_172_1,plain,
! [X] :
( ( cC70xcomp(X)
| ? [Y] : ra_Px23(X,Y) )
& ( ! [Y] : ~ ra_Px23(X,Y)
| ~ cC70xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_171]) ).
fof(f_172_2,plain,
! [U_765] :
( ( cC70xcomp(U_765)
| ? [U_764] : ra_Px23(U_765,U_764) )
& ( ! [U_763] : ~ ra_Px23(U_765,U_763)
| ~ cC70xcomp(U_765) ) ),
inference(variable_rename,[status(thm)],[f_172_1]) ).
fof(f_172_3,plain,
( ! [U_767] :
( cC70xcomp(U_767)
| ? [U_764] : ra_Px23(U_767,U_764) )
& ! [U_766] :
( ! [U_763] : ~ ra_Px23(U_766,U_763)
| ~ cC70xcomp(U_766) ) ),
inference(miniscope,[status(thm)],[f_172_2]) ).
fof(f_172_4,plain,
( ! [U_767] :
( cC70xcomp(U_767)
| ra_Px23(U_767,sK126(U_767)) )
& ! [U_766] :
( ! [U_763] : ~ ra_Px23(U_766,U_763)
| ~ cC70xcomp(U_766) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK126]),skolemize(U_764,sK126(U_767))],[f_172_3]) ).
cnf(f_172_5,plain,
( ~ ra_Px23(U_766,U_763)
| ~ cC70xcomp(U_766) ),
inference(clausify,[status(thm)],[f_172_4]) ).
cnf(f_172_6,plain,
( cC70xcomp(U_767)
| ra_Px23(U_767,sK126(U_767)) ),
inference(clausify,[status(thm)],[f_172_4]) ).
fof(f_173_1,plain,
! [X] :
( ( cC72(X)
| ? [Y] : ra_Px31(X,Y) )
& ( ! [Y] : ~ ra_Px31(X,Y)
| ~ cC72(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_172]) ).
fof(f_173_2,plain,
! [U_770] :
( ( cC72(U_770)
| ? [U_769] : ra_Px31(U_770,U_769) )
& ( ! [U_768] : ~ ra_Px31(U_770,U_768)
| ~ cC72(U_770) ) ),
inference(variable_rename,[status(thm)],[f_173_1]) ).
fof(f_173_3,plain,
( ! [U_772] :
( cC72(U_772)
| ? [U_769] : ra_Px31(U_772,U_769) )
& ! [U_771] :
( ! [U_768] : ~ ra_Px31(U_771,U_768)
| ~ cC72(U_771) ) ),
inference(miniscope,[status(thm)],[f_173_2]) ).
fof(f_173_4,plain,
( ! [U_772] :
( cC72(U_772)
| ra_Px31(U_772,sK127(U_772)) )
& ! [U_771] :
( ! [U_768] : ~ ra_Px31(U_771,U_768)
| ~ cC72(U_771) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK127]),skolemize(U_769,sK127(U_772))],[f_173_3]) ).
cnf(f_173_5,plain,
( ~ ra_Px31(U_771,U_768)
| ~ cC72(U_771) ),
inference(clausify,[status(thm)],[f_173_4]) ).
cnf(f_173_6,plain,
( cC72(U_772)
| ra_Px31(U_772,sK127(U_772)) ),
inference(clausify,[status(thm)],[f_173_4]) ).
fof(f_174_1,plain,
! [X] :
( ( cC72(X)
| ~ cC70xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC70xcomp(X)
& cC16xcomp(X) )
| ~ cC72(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_173]) ).
fof(f_174_2,plain,
! [U_773] :
( ( cC72(U_773)
| ~ cC70xcomp(U_773)
| ~ cC16xcomp(U_773) )
& ( ( cC70xcomp(U_773)
& cC16xcomp(U_773) )
| ~ cC72(U_773) ) ),
inference(variable_rename,[status(thm)],[f_174_1]) ).
fof(f_174_3,plain,
( ! [U_775] :
( cC72(U_775)
| ~ cC70xcomp(U_775)
| ~ cC16xcomp(U_775) )
& ! [U_774] :
( ( cC70xcomp(U_774)
& cC16xcomp(U_774) )
| ~ cC72(U_774) ) ),
inference(miniscope,[status(thm)],[f_174_2]) ).
cnf(f_174_4,plain,
( cC16xcomp(U_774)
| ~ cC72(U_774) ),
inference(clausify,[status(thm)],[f_174_3]) ).
cnf(f_174_5,plain,
( cC70xcomp(U_774)
| ~ cC72(U_774) ),
inference(clausify,[status(thm)],[f_174_3]) ).
cnf(f_174_6,plain,
( cC72(U_775)
| ~ cC70xcomp(U_775)
| ~ cC16xcomp(U_775) ),
inference(clausify,[status(thm)],[f_174_3]) ).
fof(f_175_1,plain,
! [X] :
( ( cC72xcomp(X)
| ! [Y0] : ~ ra_Px31(X,Y0) )
& ( ? [Y0] : ra_Px31(X,Y0)
| ~ cC72xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_174]) ).
fof(f_175_2,plain,
! [U_778] :
( ( cC72xcomp(U_778)
| ! [U_777] : ~ ra_Px31(U_778,U_777) )
& ( ? [U_776] : ra_Px31(U_778,U_776)
| ~ cC72xcomp(U_778) ) ),
inference(variable_rename,[status(thm)],[f_175_1]) ).
fof(f_175_3,plain,
( ! [U_780] :
( cC72xcomp(U_780)
| ! [U_777] : ~ ra_Px31(U_780,U_777) )
& ! [U_779] :
( ? [U_776] : ra_Px31(U_779,U_776)
| ~ cC72xcomp(U_779) ) ),
inference(miniscope,[status(thm)],[f_175_2]) ).
fof(f_175_4,plain,
( ! [U_780] :
( cC72xcomp(U_780)
| ! [U_777] : ~ ra_Px31(U_780,U_777) )
& ! [U_779] :
( ra_Px31(U_779,sK128(U_779))
| ~ cC72xcomp(U_779) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK128]),skolemize(U_776,sK128(U_779))],[f_175_3]) ).
cnf(f_175_5,plain,
( ra_Px31(U_779,sK128(U_779))
| ~ cC72xcomp(U_779) ),
inference(clausify,[status(thm)],[f_175_4]) ).
cnf(f_175_6,plain,
( cC72xcomp(U_780)
| ~ ra_Px31(U_780,U_777) ),
inference(clausify,[status(thm)],[f_175_4]) ).
fof(f_176_1,plain,
! [X] :
( ( cC74(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC74(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_175]) ).
fof(f_176_2,plain,
! [U_783] :
( ( cC74(U_783)
| ! [U_782] :
( ~ cC16xcomp(U_782)
| ~ rR1(U_783,U_782) ) )
& ( ? [U_781] :
( cC16xcomp(U_781)
& rR1(U_783,U_781) )
| ~ cC74(U_783) ) ),
inference(variable_rename,[status(thm)],[f_176_1]) ).
fof(f_176_3,plain,
( ! [U_785] :
( cC74(U_785)
| ! [U_782] :
( ~ cC16xcomp(U_782)
| ~ rR1(U_785,U_782) ) )
& ! [U_784] :
( ? [U_781] :
( cC16xcomp(U_781)
& rR1(U_784,U_781) )
| ~ cC74(U_784) ) ),
inference(miniscope,[status(thm)],[f_176_2]) ).
fof(f_176_4,plain,
( ! [U_785] :
( cC74(U_785)
| ! [U_782] :
( ~ cC16xcomp(U_782)
| ~ rR1(U_785,U_782) ) )
& ! [U_784] :
( ( cC16xcomp(sK129(U_784))
& rR1(U_784,sK129(U_784)) )
| ~ cC74(U_784) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK129]),skolemize(U_781,sK129(U_784))],[f_176_3]) ).
cnf(f_176_5,plain,
( rR1(U_784,sK129(U_784))
| ~ cC74(U_784) ),
inference(clausify,[status(thm)],[f_176_4]) ).
cnf(f_176_6,plain,
( cC16xcomp(sK129(U_784))
| ~ cC74(U_784) ),
inference(clausify,[status(thm)],[f_176_4]) ).
cnf(f_176_7,plain,
( cC74(U_785)
| ~ cC16xcomp(U_782)
| ~ rR1(U_785,U_782) ),
inference(clausify,[status(thm)],[f_176_4]) ).
fof(f_177_1,plain,
! [X] :
( ( cC76(X)
| ~ cC74(X)
| ~ cC16(X) )
& ( ( cC74(X)
& cC16(X) )
| ~ cC76(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_176]) ).
fof(f_177_2,plain,
! [U_786] :
( ( cC76(U_786)
| ~ cC74(U_786)
| ~ cC16(U_786) )
& ( ( cC74(U_786)
& cC16(U_786) )
| ~ cC76(U_786) ) ),
inference(variable_rename,[status(thm)],[f_177_1]) ).
fof(f_177_3,plain,
( ! [U_788] :
( cC76(U_788)
| ~ cC74(U_788)
| ~ cC16(U_788) )
& ! [U_787] :
( ( cC74(U_787)
& cC16(U_787) )
| ~ cC76(U_787) ) ),
inference(miniscope,[status(thm)],[f_177_2]) ).
cnf(f_177_4,plain,
( cC16(U_787)
| ~ cC76(U_787) ),
inference(clausify,[status(thm)],[f_177_3]) ).
cnf(f_177_5,plain,
( cC74(U_787)
| ~ cC76(U_787) ),
inference(clausify,[status(thm)],[f_177_3]) ).
cnf(f_177_6,plain,
( cC76(U_788)
| ~ cC74(U_788)
| ~ cC16(U_788) ),
inference(clausify,[status(thm)],[f_177_3]) ).
fof(f_178_1,plain,
! [X] :
( ( cC78(X)
| ! [Y] :
( ~ cC76(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC76(Y)
& rR1(X,Y) )
| ~ cC78(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_177]) ).
fof(f_178_2,plain,
! [U_791] :
( ( cC78(U_791)
| ! [U_790] :
( ~ cC76(U_790)
| ~ rR1(U_791,U_790) ) )
& ( ? [U_789] :
( cC76(U_789)
& rR1(U_791,U_789) )
| ~ cC78(U_791) ) ),
inference(variable_rename,[status(thm)],[f_178_1]) ).
fof(f_178_3,plain,
( ! [U_793] :
( cC78(U_793)
| ! [U_790] :
( ~ cC76(U_790)
| ~ rR1(U_793,U_790) ) )
& ! [U_792] :
( ? [U_789] :
( cC76(U_789)
& rR1(U_792,U_789) )
| ~ cC78(U_792) ) ),
inference(miniscope,[status(thm)],[f_178_2]) ).
fof(f_178_4,plain,
( ! [U_793] :
( cC78(U_793)
| ! [U_790] :
( ~ cC76(U_790)
| ~ rR1(U_793,U_790) ) )
& ! [U_792] :
( ( cC76(sK130(U_792))
& rR1(U_792,sK130(U_792)) )
| ~ cC78(U_792) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK130]),skolemize(U_789,sK130(U_792))],[f_178_3]) ).
cnf(f_178_5,plain,
( rR1(U_792,sK130(U_792))
| ~ cC78(U_792) ),
inference(clausify,[status(thm)],[f_178_4]) ).
cnf(f_178_6,plain,
( cC76(sK130(U_792))
| ~ cC78(U_792) ),
inference(clausify,[status(thm)],[f_178_4]) ).
cnf(f_178_7,plain,
( cC78(U_793)
| ~ cC76(U_790)
| ~ rR1(U_793,U_790) ),
inference(clausify,[status(thm)],[f_178_4]) ).
fof(f_179_1,plain,
! [X] :
( ( cC78(X)
| ! [Y0] : ~ ra_Px26(X,Y0) )
& ( ? [Y0] : ra_Px26(X,Y0)
| ~ cC78(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_178]) ).
fof(f_179_2,plain,
! [U_796] :
( ( cC78(U_796)
| ! [U_795] : ~ ra_Px26(U_796,U_795) )
& ( ? [U_794] : ra_Px26(U_796,U_794)
| ~ cC78(U_796) ) ),
inference(variable_rename,[status(thm)],[f_179_1]) ).
fof(f_179_3,plain,
( ! [U_798] :
( cC78(U_798)
| ! [U_795] : ~ ra_Px26(U_798,U_795) )
& ! [U_797] :
( ? [U_794] : ra_Px26(U_797,U_794)
| ~ cC78(U_797) ) ),
inference(miniscope,[status(thm)],[f_179_2]) ).
fof(f_179_4,plain,
( ! [U_798] :
( cC78(U_798)
| ! [U_795] : ~ ra_Px26(U_798,U_795) )
& ! [U_797] :
( ra_Px26(U_797,sK131(U_797))
| ~ cC78(U_797) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK131]),skolemize(U_794,sK131(U_797))],[f_179_3]) ).
cnf(f_179_5,plain,
( ra_Px26(U_797,sK131(U_797))
| ~ cC78(U_797) ),
inference(clausify,[status(thm)],[f_179_4]) ).
cnf(f_179_6,plain,
( cC78(U_798)
| ~ ra_Px26(U_798,U_795) ),
inference(clausify,[status(thm)],[f_179_4]) ).
fof(f_180_1,plain,
! [X] :
( ( cC78xcomp(X)
| ? [Y] : ra_Px26(X,Y) )
& ( ! [Y] : ~ ra_Px26(X,Y)
| ~ cC78xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_179]) ).
fof(f_180_2,plain,
! [U_801] :
( ( cC78xcomp(U_801)
| ? [U_800] : ra_Px26(U_801,U_800) )
& ( ! [U_799] : ~ ra_Px26(U_801,U_799)
| ~ cC78xcomp(U_801) ) ),
inference(variable_rename,[status(thm)],[f_180_1]) ).
fof(f_180_3,plain,
( ! [U_803] :
( cC78xcomp(U_803)
| ? [U_800] : ra_Px26(U_803,U_800) )
& ! [U_802] :
( ! [U_799] : ~ ra_Px26(U_802,U_799)
| ~ cC78xcomp(U_802) ) ),
inference(miniscope,[status(thm)],[f_180_2]) ).
fof(f_180_4,plain,
( ! [U_803] :
( cC78xcomp(U_803)
| ra_Px26(U_803,sK132(U_803)) )
& ! [U_802] :
( ! [U_799] : ~ ra_Px26(U_802,U_799)
| ~ cC78xcomp(U_802) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK132]),skolemize(U_800,sK132(U_803))],[f_180_3]) ).
cnf(f_180_5,plain,
( ~ ra_Px26(U_802,U_799)
| ~ cC78xcomp(U_802) ),
inference(clausify,[status(thm)],[f_180_4]) ).
cnf(f_180_6,plain,
( cC78xcomp(U_803)
| ra_Px26(U_803,sK132(U_803)) ),
inference(clausify,[status(thm)],[f_180_4]) ).
fof(f_181_1,plain,
! [X] :
( ( cC8(X)
| ! [Y] :
( ~ cC6(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC6(Y)
& rR1(X,Y) )
| ~ cC8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_180]) ).
fof(f_181_2,plain,
! [U_806] :
( ( cC8(U_806)
| ! [U_805] :
( ~ cC6(U_805)
| ~ rR1(U_806,U_805) ) )
& ( ? [U_804] :
( cC6(U_804)
& rR1(U_806,U_804) )
| ~ cC8(U_806) ) ),
inference(variable_rename,[status(thm)],[f_181_1]) ).
fof(f_181_3,plain,
( ! [U_808] :
( cC8(U_808)
| ! [U_805] :
( ~ cC6(U_805)
| ~ rR1(U_808,U_805) ) )
& ! [U_807] :
( ? [U_804] :
( cC6(U_804)
& rR1(U_807,U_804) )
| ~ cC8(U_807) ) ),
inference(miniscope,[status(thm)],[f_181_2]) ).
fof(f_181_4,plain,
( ! [U_808] :
( cC8(U_808)
| ! [U_805] :
( ~ cC6(U_805)
| ~ rR1(U_808,U_805) ) )
& ! [U_807] :
( ( cC6(sK133(U_807))
& rR1(U_807,sK133(U_807)) )
| ~ cC8(U_807) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK133]),skolemize(U_804,sK133(U_807))],[f_181_3]) ).
cnf(f_181_5,plain,
( rR1(U_807,sK133(U_807))
| ~ cC8(U_807) ),
inference(clausify,[status(thm)],[f_181_4]) ).
cnf(f_181_6,plain,
( cC6(sK133(U_807))
| ~ cC8(U_807) ),
inference(clausify,[status(thm)],[f_181_4]) ).
cnf(f_181_7,plain,
( cC8(U_808)
| ~ cC6(U_805)
| ~ rR1(U_808,U_805) ),
inference(clausify,[status(thm)],[f_181_4]) ).
fof(f_182_1,plain,
! [X] :
( ( cC8(X)
| ! [Y0] : ~ ra_Px2(X,Y0) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ cC8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_181]) ).
fof(f_182_2,plain,
! [U_811] :
( ( cC8(U_811)
| ! [U_810] : ~ ra_Px2(U_811,U_810) )
& ( ? [U_809] : ra_Px2(U_811,U_809)
| ~ cC8(U_811) ) ),
inference(variable_rename,[status(thm)],[f_182_1]) ).
fof(f_182_3,plain,
( ! [U_813] :
( cC8(U_813)
| ! [U_810] : ~ ra_Px2(U_813,U_810) )
& ! [U_812] :
( ? [U_809] : ra_Px2(U_812,U_809)
| ~ cC8(U_812) ) ),
inference(miniscope,[status(thm)],[f_182_2]) ).
fof(f_182_4,plain,
( ! [U_813] :
( cC8(U_813)
| ! [U_810] : ~ ra_Px2(U_813,U_810) )
& ! [U_812] :
( ra_Px2(U_812,sK134(U_812))
| ~ cC8(U_812) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK134]),skolemize(U_809,sK134(U_812))],[f_182_3]) ).
cnf(f_182_5,plain,
( ra_Px2(U_812,sK134(U_812))
| ~ cC8(U_812) ),
inference(clausify,[status(thm)],[f_182_4]) ).
cnf(f_182_6,plain,
( cC8(U_813)
| ~ ra_Px2(U_813,U_810) ),
inference(clausify,[status(thm)],[f_182_4]) ).
fof(f_183_1,plain,
! [X] :
( ( cC8xcomp(X)
| ? [Y] : ra_Px2(X,Y) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ cC8xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_182]) ).
fof(f_183_2,plain,
! [U_816] :
( ( cC8xcomp(U_816)
| ? [U_815] : ra_Px2(U_816,U_815) )
& ( ! [U_814] : ~ ra_Px2(U_816,U_814)
| ~ cC8xcomp(U_816) ) ),
inference(variable_rename,[status(thm)],[f_183_1]) ).
fof(f_183_3,plain,
( ! [U_818] :
( cC8xcomp(U_818)
| ? [U_815] : ra_Px2(U_818,U_815) )
& ! [U_817] :
( ! [U_814] : ~ ra_Px2(U_817,U_814)
| ~ cC8xcomp(U_817) ) ),
inference(miniscope,[status(thm)],[f_183_2]) ).
fof(f_183_4,plain,
( ! [U_818] :
( cC8xcomp(U_818)
| ra_Px2(U_818,sK135(U_818)) )
& ! [U_817] :
( ! [U_814] : ~ ra_Px2(U_817,U_814)
| ~ cC8xcomp(U_817) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK135]),skolemize(U_815,sK135(U_818))],[f_183_3]) ).
cnf(f_183_5,plain,
( ~ ra_Px2(U_817,U_814)
| ~ cC8xcomp(U_817) ),
inference(clausify,[status(thm)],[f_183_4]) ).
cnf(f_183_6,plain,
( cC8xcomp(U_818)
| ra_Px2(U_818,sK135(U_818)) ),
inference(clausify,[status(thm)],[f_183_4]) ).
fof(f_184_1,plain,
! [X] :
( ( cC80(X)
| ~ cC78xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC78xcomp(X)
& cC16xcomp(X) )
| ~ cC80(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_183]) ).
fof(f_184_2,plain,
! [U_819] :
( ( cC80(U_819)
| ~ cC78xcomp(U_819)
| ~ cC16xcomp(U_819) )
& ( ( cC78xcomp(U_819)
& cC16xcomp(U_819) )
| ~ cC80(U_819) ) ),
inference(variable_rename,[status(thm)],[f_184_1]) ).
fof(f_184_3,plain,
( ! [U_821] :
( cC80(U_821)
| ~ cC78xcomp(U_821)
| ~ cC16xcomp(U_821) )
& ! [U_820] :
( ( cC78xcomp(U_820)
& cC16xcomp(U_820) )
| ~ cC80(U_820) ) ),
inference(miniscope,[status(thm)],[f_184_2]) ).
cnf(f_184_4,plain,
( cC16xcomp(U_820)
| ~ cC80(U_820) ),
inference(clausify,[status(thm)],[f_184_3]) ).
cnf(f_184_5,plain,
( cC78xcomp(U_820)
| ~ cC80(U_820) ),
inference(clausify,[status(thm)],[f_184_3]) ).
cnf(f_184_6,plain,
( cC80(U_821)
| ~ cC78xcomp(U_821)
| ~ cC16xcomp(U_821) ),
inference(clausify,[status(thm)],[f_184_3]) ).
fof(f_185_1,plain,
! [X] :
( ( cC82(X)
| ! [Y] :
( ~ cC80(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC80(Y)
& rR1(X,Y) )
| ~ cC82(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_184]) ).
fof(f_185_2,plain,
! [U_824] :
( ( cC82(U_824)
| ! [U_823] :
( ~ cC80(U_823)
| ~ rR1(U_824,U_823) ) )
& ( ? [U_822] :
( cC80(U_822)
& rR1(U_824,U_822) )
| ~ cC82(U_824) ) ),
inference(variable_rename,[status(thm)],[f_185_1]) ).
fof(f_185_3,plain,
( ! [U_826] :
( cC82(U_826)
| ! [U_823] :
( ~ cC80(U_823)
| ~ rR1(U_826,U_823) ) )
& ! [U_825] :
( ? [U_822] :
( cC80(U_822)
& rR1(U_825,U_822) )
| ~ cC82(U_825) ) ),
inference(miniscope,[status(thm)],[f_185_2]) ).
fof(f_185_4,plain,
( ! [U_826] :
( cC82(U_826)
| ! [U_823] :
( ~ cC80(U_823)
| ~ rR1(U_826,U_823) ) )
& ! [U_825] :
( ( cC80(sK136(U_825))
& rR1(U_825,sK136(U_825)) )
| ~ cC82(U_825) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK136]),skolemize(U_822,sK136(U_825))],[f_185_3]) ).
cnf(f_185_5,plain,
( rR1(U_825,sK136(U_825))
| ~ cC82(U_825) ),
inference(clausify,[status(thm)],[f_185_4]) ).
cnf(f_185_6,plain,
( cC80(sK136(U_825))
| ~ cC82(U_825) ),
inference(clausify,[status(thm)],[f_185_4]) ).
cnf(f_185_7,plain,
( cC82(U_826)
| ~ cC80(U_823)
| ~ rR1(U_826,U_823) ),
inference(clausify,[status(thm)],[f_185_4]) ).
fof(f_186_1,plain,
! [X] :
( ( cC84(X)
| ! [Y] :
( ~ cC82(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC82(Y)
& rR1(X,Y) )
| ~ cC84(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_185]) ).
fof(f_186_2,plain,
! [U_829] :
( ( cC84(U_829)
| ! [U_828] :
( ~ cC82(U_828)
| ~ rR1(U_829,U_828) ) )
& ( ? [U_827] :
( cC82(U_827)
& rR1(U_829,U_827) )
| ~ cC84(U_829) ) ),
inference(variable_rename,[status(thm)],[f_186_1]) ).
fof(f_186_3,plain,
( ! [U_831] :
( cC84(U_831)
| ! [U_828] :
( ~ cC82(U_828)
| ~ rR1(U_831,U_828) ) )
& ! [U_830] :
( ? [U_827] :
( cC82(U_827)
& rR1(U_830,U_827) )
| ~ cC84(U_830) ) ),
inference(miniscope,[status(thm)],[f_186_2]) ).
fof(f_186_4,plain,
( ! [U_831] :
( cC84(U_831)
| ! [U_828] :
( ~ cC82(U_828)
| ~ rR1(U_831,U_828) ) )
& ! [U_830] :
( ( cC82(sK137(U_830))
& rR1(U_830,sK137(U_830)) )
| ~ cC84(U_830) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK137]),skolemize(U_827,sK137(U_830))],[f_186_3]) ).
cnf(f_186_5,plain,
( rR1(U_830,sK137(U_830))
| ~ cC84(U_830) ),
inference(clausify,[status(thm)],[f_186_4]) ).
cnf(f_186_6,plain,
( cC82(sK137(U_830))
| ~ cC84(U_830) ),
inference(clausify,[status(thm)],[f_186_4]) ).
cnf(f_186_7,plain,
( cC84(U_831)
| ~ cC82(U_828)
| ~ rR1(U_831,U_828) ),
inference(clausify,[status(thm)],[f_186_4]) ).
fof(f_187_1,plain,
! [X] :
( ( cC86(X)
| ! [Y] :
( ~ cC16xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC16xcomp(Y)
& rR1(X,Y) )
| ~ cC86(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_186]) ).
fof(f_187_2,plain,
! [U_834] :
( ( cC86(U_834)
| ! [U_833] :
( ~ cC16xcomp(U_833)
| ~ rR1(U_834,U_833) ) )
& ( ? [U_832] :
( cC16xcomp(U_832)
& rR1(U_834,U_832) )
| ~ cC86(U_834) ) ),
inference(variable_rename,[status(thm)],[f_187_1]) ).
fof(f_187_3,plain,
( ! [U_836] :
( cC86(U_836)
| ! [U_833] :
( ~ cC16xcomp(U_833)
| ~ rR1(U_836,U_833) ) )
& ! [U_835] :
( ? [U_832] :
( cC16xcomp(U_832)
& rR1(U_835,U_832) )
| ~ cC86(U_835) ) ),
inference(miniscope,[status(thm)],[f_187_2]) ).
fof(f_187_4,plain,
( ! [U_836] :
( cC86(U_836)
| ! [U_833] :
( ~ cC16xcomp(U_833)
| ~ rR1(U_836,U_833) ) )
& ! [U_835] :
( ( cC16xcomp(sK138(U_835))
& rR1(U_835,sK138(U_835)) )
| ~ cC86(U_835) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK138]),skolemize(U_832,sK138(U_835))],[f_187_3]) ).
cnf(f_187_5,plain,
( rR1(U_835,sK138(U_835))
| ~ cC86(U_835) ),
inference(clausify,[status(thm)],[f_187_4]) ).
cnf(f_187_6,plain,
( cC16xcomp(sK138(U_835))
| ~ cC86(U_835) ),
inference(clausify,[status(thm)],[f_187_4]) ).
cnf(f_187_7,plain,
( cC86(U_836)
| ~ cC16xcomp(U_833)
| ~ rR1(U_836,U_833) ),
inference(clausify,[status(thm)],[f_187_4]) ).
fof(f_188_1,plain,
! [X] :
( ( cC88(X)
| ~ cC86(X)
| ~ cC16(X) )
& ( ( cC86(X)
& cC16(X) )
| ~ cC88(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_187]) ).
fof(f_188_2,plain,
! [U_837] :
( ( cC88(U_837)
| ~ cC86(U_837)
| ~ cC16(U_837) )
& ( ( cC86(U_837)
& cC16(U_837) )
| ~ cC88(U_837) ) ),
inference(variable_rename,[status(thm)],[f_188_1]) ).
fof(f_188_3,plain,
( ! [U_839] :
( cC88(U_839)
| ~ cC86(U_839)
| ~ cC16(U_839) )
& ! [U_838] :
( ( cC86(U_838)
& cC16(U_838) )
| ~ cC88(U_838) ) ),
inference(miniscope,[status(thm)],[f_188_2]) ).
cnf(f_188_4,plain,
( cC16(U_838)
| ~ cC88(U_838) ),
inference(clausify,[status(thm)],[f_188_3]) ).
cnf(f_188_5,plain,
( cC86(U_838)
| ~ cC88(U_838) ),
inference(clausify,[status(thm)],[f_188_3]) ).
cnf(f_188_6,plain,
( cC88(U_839)
| ~ cC86(U_839)
| ~ cC16(U_839) ),
inference(clausify,[status(thm)],[f_188_3]) ).
fof(f_189_1,plain,
! [X] :
( ( cC90(X)
| ! [Y] :
( ~ cC88(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC88(Y)
& rR1(X,Y) )
| ~ cC90(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_188]) ).
fof(f_189_2,plain,
! [U_842] :
( ( cC90(U_842)
| ! [U_841] :
( ~ cC88(U_841)
| ~ rR1(U_842,U_841) ) )
& ( ? [U_840] :
( cC88(U_840)
& rR1(U_842,U_840) )
| ~ cC90(U_842) ) ),
inference(variable_rename,[status(thm)],[f_189_1]) ).
fof(f_189_3,plain,
( ! [U_844] :
( cC90(U_844)
| ! [U_841] :
( ~ cC88(U_841)
| ~ rR1(U_844,U_841) ) )
& ! [U_843] :
( ? [U_840] :
( cC88(U_840)
& rR1(U_843,U_840) )
| ~ cC90(U_843) ) ),
inference(miniscope,[status(thm)],[f_189_2]) ).
fof(f_189_4,plain,
( ! [U_844] :
( cC90(U_844)
| ! [U_841] :
( ~ cC88(U_841)
| ~ rR1(U_844,U_841) ) )
& ! [U_843] :
( ( cC88(sK139(U_843))
& rR1(U_843,sK139(U_843)) )
| ~ cC90(U_843) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK139]),skolemize(U_840,sK139(U_843))],[f_189_3]) ).
cnf(f_189_5,plain,
( rR1(U_843,sK139(U_843))
| ~ cC90(U_843) ),
inference(clausify,[status(thm)],[f_189_4]) ).
cnf(f_189_6,plain,
( cC88(sK139(U_843))
| ~ cC90(U_843) ),
inference(clausify,[status(thm)],[f_189_4]) ).
cnf(f_189_7,plain,
( cC90(U_844)
| ~ cC88(U_841)
| ~ rR1(U_844,U_841) ),
inference(clausify,[status(thm)],[f_189_4]) ).
fof(f_190_1,plain,
! [X] :
( ( cC90(X)
| ! [Y0] : ~ ra_Px29(X,Y0) )
& ( ? [Y0] : ra_Px29(X,Y0)
| ~ cC90(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_189]) ).
fof(f_190_2,plain,
! [U_847] :
( ( cC90(U_847)
| ! [U_846] : ~ ra_Px29(U_847,U_846) )
& ( ? [U_845] : ra_Px29(U_847,U_845)
| ~ cC90(U_847) ) ),
inference(variable_rename,[status(thm)],[f_190_1]) ).
fof(f_190_3,plain,
( ! [U_849] :
( cC90(U_849)
| ! [U_846] : ~ ra_Px29(U_849,U_846) )
& ! [U_848] :
( ? [U_845] : ra_Px29(U_848,U_845)
| ~ cC90(U_848) ) ),
inference(miniscope,[status(thm)],[f_190_2]) ).
fof(f_190_4,plain,
( ! [U_849] :
( cC90(U_849)
| ! [U_846] : ~ ra_Px29(U_849,U_846) )
& ! [U_848] :
( ra_Px29(U_848,sK140(U_848))
| ~ cC90(U_848) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK140]),skolemize(U_845,sK140(U_848))],[f_190_3]) ).
cnf(f_190_5,plain,
( ra_Px29(U_848,sK140(U_848))
| ~ cC90(U_848) ),
inference(clausify,[status(thm)],[f_190_4]) ).
cnf(f_190_6,plain,
( cC90(U_849)
| ~ ra_Px29(U_849,U_846) ),
inference(clausify,[status(thm)],[f_190_4]) ).
fof(f_191_1,plain,
! [X] :
( ( cC90xcomp(X)
| ? [Y] : ra_Px29(X,Y) )
& ( ! [Y] : ~ ra_Px29(X,Y)
| ~ cC90xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_190]) ).
fof(f_191_2,plain,
! [U_852] :
( ( cC90xcomp(U_852)
| ? [U_851] : ra_Px29(U_852,U_851) )
& ( ! [U_850] : ~ ra_Px29(U_852,U_850)
| ~ cC90xcomp(U_852) ) ),
inference(variable_rename,[status(thm)],[f_191_1]) ).
fof(f_191_3,plain,
( ! [U_854] :
( cC90xcomp(U_854)
| ? [U_851] : ra_Px29(U_854,U_851) )
& ! [U_853] :
( ! [U_850] : ~ ra_Px29(U_853,U_850)
| ~ cC90xcomp(U_853) ) ),
inference(miniscope,[status(thm)],[f_191_2]) ).
fof(f_191_4,plain,
( ! [U_854] :
( cC90xcomp(U_854)
| ra_Px29(U_854,sK141(U_854)) )
& ! [U_853] :
( ! [U_850] : ~ ra_Px29(U_853,U_850)
| ~ cC90xcomp(U_853) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK141]),skolemize(U_851,sK141(U_854))],[f_191_3]) ).
cnf(f_191_5,plain,
( ~ ra_Px29(U_853,U_850)
| ~ cC90xcomp(U_853) ),
inference(clausify,[status(thm)],[f_191_4]) ).
cnf(f_191_6,plain,
( cC90xcomp(U_854)
| ra_Px29(U_854,sK141(U_854)) ),
inference(clausify,[status(thm)],[f_191_4]) ).
fof(f_192_1,plain,
! [X] :
( ( cC92(X)
| ~ cC90xcomp(X)
| ~ cC16xcomp(X) )
& ( ( cC90xcomp(X)
& cC16xcomp(X) )
| ~ cC92(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_191]) ).
fof(f_192_2,plain,
! [U_855] :
( ( cC92(U_855)
| ~ cC90xcomp(U_855)
| ~ cC16xcomp(U_855) )
& ( ( cC90xcomp(U_855)
& cC16xcomp(U_855) )
| ~ cC92(U_855) ) ),
inference(variable_rename,[status(thm)],[f_192_1]) ).
fof(f_192_3,plain,
( ! [U_857] :
( cC92(U_857)
| ~ cC90xcomp(U_857)
| ~ cC16xcomp(U_857) )
& ! [U_856] :
( ( cC90xcomp(U_856)
& cC16xcomp(U_856) )
| ~ cC92(U_856) ) ),
inference(miniscope,[status(thm)],[f_192_2]) ).
cnf(f_192_4,plain,
( cC16xcomp(U_856)
| ~ cC92(U_856) ),
inference(clausify,[status(thm)],[f_192_3]) ).
cnf(f_192_5,plain,
( cC90xcomp(U_856)
| ~ cC92(U_856) ),
inference(clausify,[status(thm)],[f_192_3]) ).
cnf(f_192_6,plain,
( cC92(U_857)
| ~ cC90xcomp(U_857)
| ~ cC16xcomp(U_857) ),
inference(clausify,[status(thm)],[f_192_3]) ).
fof(f_193_1,plain,
! [X] :
( ( cC94(X)
| ! [Y0] : ~ ra_Px30(X,Y0) )
& ( ? [Y0] : ra_Px30(X,Y0)
| ~ cC94(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_192]) ).
fof(f_193_2,plain,
! [U_860] :
( ( cC94(U_860)
| ! [U_859] : ~ ra_Px30(U_860,U_859) )
& ( ? [U_858] : ra_Px30(U_860,U_858)
| ~ cC94(U_860) ) ),
inference(variable_rename,[status(thm)],[f_193_1]) ).
fof(f_193_3,plain,
( ! [U_862] :
( cC94(U_862)
| ! [U_859] : ~ ra_Px30(U_862,U_859) )
& ! [U_861] :
( ? [U_858] : ra_Px30(U_861,U_858)
| ~ cC94(U_861) ) ),
inference(miniscope,[status(thm)],[f_193_2]) ).
fof(f_193_4,plain,
( ! [U_862] :
( cC94(U_862)
| ! [U_859] : ~ ra_Px30(U_862,U_859) )
& ! [U_861] :
( ra_Px30(U_861,sK142(U_861))
| ~ cC94(U_861) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK142]),skolemize(U_858,sK142(U_861))],[f_193_3]) ).
cnf(f_193_5,plain,
( ra_Px30(U_861,sK142(U_861))
| ~ cC94(U_861) ),
inference(clausify,[status(thm)],[f_193_4]) ).
cnf(f_193_6,plain,
( cC94(U_862)
| ~ ra_Px30(U_862,U_859) ),
inference(clausify,[status(thm)],[f_193_4]) ).
fof(f_194_1,plain,
! [X] :
( ( cC94(X)
| ! [Y] :
( ~ cC92(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC92(Y)
& rR1(X,Y) )
| ~ cC94(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_193]) ).
fof(f_194_2,plain,
! [U_865] :
( ( cC94(U_865)
| ! [U_864] :
( ~ cC92(U_864)
| ~ rR1(U_865,U_864) ) )
& ( ? [U_863] :
( cC92(U_863)
& rR1(U_865,U_863) )
| ~ cC94(U_865) ) ),
inference(variable_rename,[status(thm)],[f_194_1]) ).
fof(f_194_3,plain,
( ! [U_867] :
( cC94(U_867)
| ! [U_864] :
( ~ cC92(U_864)
| ~ rR1(U_867,U_864) ) )
& ! [U_866] :
( ? [U_863] :
( cC92(U_863)
& rR1(U_866,U_863) )
| ~ cC94(U_866) ) ),
inference(miniscope,[status(thm)],[f_194_2]) ).
fof(f_194_4,plain,
( ! [U_867] :
( cC94(U_867)
| ! [U_864] :
( ~ cC92(U_864)
| ~ rR1(U_867,U_864) ) )
& ! [U_866] :
( ( cC92(sK143(U_866))
& rR1(U_866,sK143(U_866)) )
| ~ cC94(U_866) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK143]),skolemize(U_863,sK143(U_866))],[f_194_3]) ).
cnf(f_194_5,plain,
( rR1(U_866,sK143(U_866))
| ~ cC94(U_866) ),
inference(clausify,[status(thm)],[f_194_4]) ).
cnf(f_194_6,plain,
( cC92(sK143(U_866))
| ~ cC94(U_866) ),
inference(clausify,[status(thm)],[f_194_4]) ).
cnf(f_194_7,plain,
( cC94(U_867)
| ~ cC92(U_864)
| ~ rR1(U_867,U_864) ),
inference(clausify,[status(thm)],[f_194_4]) ).
fof(f_195_1,plain,
! [X] :
( ( cC94xcomp(X)
| ? [Y] : ra_Px30(X,Y) )
& ( ! [Y] : ~ ra_Px30(X,Y)
| ~ cC94xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_194]) ).
fof(f_195_2,plain,
! [U_870] :
( ( cC94xcomp(U_870)
| ? [U_869] : ra_Px30(U_870,U_869) )
& ( ! [U_868] : ~ ra_Px30(U_870,U_868)
| ~ cC94xcomp(U_870) ) ),
inference(variable_rename,[status(thm)],[f_195_1]) ).
fof(f_195_3,plain,
( ! [U_872] :
( cC94xcomp(U_872)
| ? [U_869] : ra_Px30(U_872,U_869) )
& ! [U_871] :
( ! [U_868] : ~ ra_Px30(U_871,U_868)
| ~ cC94xcomp(U_871) ) ),
inference(miniscope,[status(thm)],[f_195_2]) ).
fof(f_195_4,plain,
( ! [U_872] :
( cC94xcomp(U_872)
| ra_Px30(U_872,sK144(U_872)) )
& ! [U_871] :
( ! [U_868] : ~ ra_Px30(U_871,U_868)
| ~ cC94xcomp(U_871) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK144]),skolemize(U_869,sK144(U_872))],[f_195_3]) ).
cnf(f_195_5,plain,
( ~ ra_Px30(U_871,U_868)
| ~ cC94xcomp(U_871) ),
inference(clausify,[status(thm)],[f_195_4]) ).
cnf(f_195_6,plain,
( cC94xcomp(U_872)
| ra_Px30(U_872,sK144(U_872)) ),
inference(clausify,[status(thm)],[f_195_4]) ).
fof(f_196_1,plain,
! [X] :
( ( cC96(X)
| ! [Y0] : ~ ra_Px32(X,Y0) )
& ( ? [Y0] : ra_Px32(X,Y0)
| ~ cC96(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_195]) ).
fof(f_196_2,plain,
! [U_875] :
( ( cC96(U_875)
| ! [U_874] : ~ ra_Px32(U_875,U_874) )
& ( ? [U_873] : ra_Px32(U_875,U_873)
| ~ cC96(U_875) ) ),
inference(variable_rename,[status(thm)],[f_196_1]) ).
fof(f_196_3,plain,
( ! [U_877] :
( cC96(U_877)
| ! [U_874] : ~ ra_Px32(U_877,U_874) )
& ! [U_876] :
( ? [U_873] : ra_Px32(U_876,U_873)
| ~ cC96(U_876) ) ),
inference(miniscope,[status(thm)],[f_196_2]) ).
fof(f_196_4,plain,
( ! [U_877] :
( cC96(U_877)
| ! [U_874] : ~ ra_Px32(U_877,U_874) )
& ! [U_876] :
( ra_Px32(U_876,sK145(U_876))
| ~ cC96(U_876) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK145]),skolemize(U_873,sK145(U_876))],[f_196_3]) ).
cnf(f_196_5,plain,
( ra_Px32(U_876,sK145(U_876))
| ~ cC96(U_876) ),
inference(clausify,[status(thm)],[f_196_4]) ).
cnf(f_196_6,plain,
( cC96(U_877)
| ~ ra_Px32(U_877,U_874) ),
inference(clausify,[status(thm)],[f_196_4]) ).
fof(f_197_1,plain,
! [X] :
( ( cC96(X)
| ~ cC94xcomp(X)
| ~ cC84(X) )
& ( ( cC94xcomp(X)
& cC84(X) )
| ~ cC96(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_196]) ).
fof(f_197_2,plain,
! [U_878] :
( ( cC96(U_878)
| ~ cC94xcomp(U_878)
| ~ cC84(U_878) )
& ( ( cC94xcomp(U_878)
& cC84(U_878) )
| ~ cC96(U_878) ) ),
inference(variable_rename,[status(thm)],[f_197_1]) ).
fof(f_197_3,plain,
( ! [U_880] :
( cC96(U_880)
| ~ cC94xcomp(U_880)
| ~ cC84(U_880) )
& ! [U_879] :
( ( cC94xcomp(U_879)
& cC84(U_879) )
| ~ cC96(U_879) ) ),
inference(miniscope,[status(thm)],[f_197_2]) ).
cnf(f_197_4,plain,
( cC84(U_879)
| ~ cC96(U_879) ),
inference(clausify,[status(thm)],[f_197_3]) ).
cnf(f_197_5,plain,
( cC94xcomp(U_879)
| ~ cC96(U_879) ),
inference(clausify,[status(thm)],[f_197_3]) ).
cnf(f_197_6,plain,
( cC96(U_880)
| ~ cC94xcomp(U_880)
| ~ cC84(U_880) ),
inference(clausify,[status(thm)],[f_197_3]) ).
fof(f_198_1,plain,
! [X] :
( ( cC96xcomp(X)
| ? [Y] : ra_Px32(X,Y) )
& ( ! [Y] : ~ ra_Px32(X,Y)
| ~ cC96xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_197]) ).
fof(f_198_2,plain,
! [U_883] :
( ( cC96xcomp(U_883)
| ? [U_882] : ra_Px32(U_883,U_882) )
& ( ! [U_881] : ~ ra_Px32(U_883,U_881)
| ~ cC96xcomp(U_883) ) ),
inference(variable_rename,[status(thm)],[f_198_1]) ).
fof(f_198_3,plain,
( ! [U_885] :
( cC96xcomp(U_885)
| ? [U_882] : ra_Px32(U_885,U_882) )
& ! [U_884] :
( ! [U_881] : ~ ra_Px32(U_884,U_881)
| ~ cC96xcomp(U_884) ) ),
inference(miniscope,[status(thm)],[f_198_2]) ).
fof(f_198_4,plain,
( ! [U_885] :
( cC96xcomp(U_885)
| ra_Px32(U_885,sK146(U_885)) )
& ! [U_884] :
( ! [U_881] : ~ ra_Px32(U_884,U_881)
| ~ cC96xcomp(U_884) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK146]),skolemize(U_882,sK146(U_885))],[f_198_3]) ).
cnf(f_198_5,plain,
( ~ ra_Px32(U_884,U_881)
| ~ cC96xcomp(U_884) ),
inference(clausify,[status(thm)],[f_198_4]) ).
cnf(f_198_6,plain,
( cC96xcomp(U_885)
| ra_Px32(U_885,sK146(U_885)) ),
inference(clausify,[status(thm)],[f_198_4]) ).
fof(f_199_1,plain,
! [X] :
( ( cC98(X)
| ? [Y] : ra_Px34(X,Y) )
& ( ! [Y] : ~ ra_Px34(X,Y)
| ~ cC98(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_198]) ).
fof(f_199_2,plain,
! [U_888] :
( ( cC98(U_888)
| ? [U_887] : ra_Px34(U_888,U_887) )
& ( ! [U_886] : ~ ra_Px34(U_888,U_886)
| ~ cC98(U_888) ) ),
inference(variable_rename,[status(thm)],[f_199_1]) ).
fof(f_199_3,plain,
( ! [U_890] :
( cC98(U_890)
| ? [U_887] : ra_Px34(U_890,U_887) )
& ! [U_889] :
( ! [U_886] : ~ ra_Px34(U_889,U_886)
| ~ cC98(U_889) ) ),
inference(miniscope,[status(thm)],[f_199_2]) ).
fof(f_199_4,plain,
( ! [U_890] :
( cC98(U_890)
| ra_Px34(U_890,sK147(U_890)) )
& ! [U_889] :
( ! [U_886] : ~ ra_Px34(U_889,U_886)
| ~ cC98(U_889) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK147]),skolemize(U_887,sK147(U_890))],[f_199_3]) ).
cnf(f_199_5,plain,
( ~ ra_Px34(U_889,U_886)
| ~ cC98(U_889) ),
inference(clausify,[status(thm)],[f_199_4]) ).
cnf(f_199_6,plain,
( cC98(U_890)
| ra_Px34(U_890,sK147(U_890)) ),
inference(clausify,[status(thm)],[f_199_4]) ).
fof(f_200_1,plain,
! [X] :
( ( cC98(X)
| ~ cC96xcomp(X)
| ~ cC72xcomp(X) )
& ( ( cC96xcomp(X)
& cC72xcomp(X) )
| ~ cC98(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_199]) ).
fof(f_200_2,plain,
! [U_891] :
( ( cC98(U_891)
| ~ cC96xcomp(U_891)
| ~ cC72xcomp(U_891) )
& ( ( cC96xcomp(U_891)
& cC72xcomp(U_891) )
| ~ cC98(U_891) ) ),
inference(variable_rename,[status(thm)],[f_200_1]) ).
fof(f_200_3,plain,
( ! [U_893] :
( cC98(U_893)
| ~ cC96xcomp(U_893)
| ~ cC72xcomp(U_893) )
& ! [U_892] :
( ( cC96xcomp(U_892)
& cC72xcomp(U_892) )
| ~ cC98(U_892) ) ),
inference(miniscope,[status(thm)],[f_200_2]) ).
cnf(f_200_4,plain,
( cC72xcomp(U_892)
| ~ cC98(U_892) ),
inference(clausify,[status(thm)],[f_200_3]) ).
cnf(f_200_5,plain,
( cC96xcomp(U_892)
| ~ cC98(U_892) ),
inference(clausify,[status(thm)],[f_200_3]) ).
cnf(f_200_6,plain,
( cC98(U_893)
| ~ cC96xcomp(U_893)
| ~ cC72xcomp(U_893) ),
inference(clausify,[status(thm)],[f_200_3]) ).
fof(f_201_1,plain,
! [X] :
( ( cC98xcomp(X)
| ! [Y0] : ~ ra_Px34(X,Y0) )
& ( ? [Y0] : ra_Px34(X,Y0)
| ~ cC98xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_200]) ).
fof(f_201_2,plain,
! [U_896] :
( ( cC98xcomp(U_896)
| ! [U_895] : ~ ra_Px34(U_896,U_895) )
& ( ? [U_894] : ra_Px34(U_896,U_894)
| ~ cC98xcomp(U_896) ) ),
inference(variable_rename,[status(thm)],[f_201_1]) ).
fof(f_201_3,plain,
( ! [U_898] :
( cC98xcomp(U_898)
| ! [U_895] : ~ ra_Px34(U_898,U_895) )
& ! [U_897] :
( ? [U_894] : ra_Px34(U_897,U_894)
| ~ cC98xcomp(U_897) ) ),
inference(miniscope,[status(thm)],[f_201_2]) ).
fof(f_201_4,plain,
( ! [U_898] :
( cC98xcomp(U_898)
| ! [U_895] : ~ ra_Px34(U_898,U_895) )
& ! [U_897] :
( ra_Px34(U_897,sK148(U_897))
| ~ cC98xcomp(U_897) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK148]),skolemize(U_894,sK148(U_897))],[f_201_3]) ).
cnf(f_201_5,plain,
( ra_Px34(U_897,sK148(U_897))
| ~ cC98xcomp(U_897) ),
inference(clausify,[status(thm)],[f_201_4]) ).
cnf(f_201_6,plain,
( cC98xcomp(U_898)
| ~ ra_Px34(U_898,U_895) ),
inference(clausify,[status(thm)],[f_201_4]) ).
fof(f_202_1,plain,
! [X] :
( ( cTEST(X)
| ~ cC46(X)
| ~ cC216(X) )
& ( ( cC46(X)
& cC216(X) )
| ~ cTEST(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_201]) ).
fof(f_202_2,plain,
! [U_899] :
( ( cTEST(U_899)
| ~ cC46(U_899)
| ~ cC216(U_899) )
& ( ( cC46(U_899)
& cC216(U_899) )
| ~ cTEST(U_899) ) ),
inference(variable_rename,[status(thm)],[f_202_1]) ).
fof(f_202_3,plain,
( ! [U_901] :
( cTEST(U_901)
| ~ cC46(U_901)
| ~ cC216(U_901) )
& ! [U_900] :
( ( cC46(U_900)
& cC216(U_900) )
| ~ cTEST(U_900) ) ),
inference(miniscope,[status(thm)],[f_202_2]) ).
cnf(f_202_4,plain,
( cC216(U_900)
| ~ cTEST(U_900) ),
inference(clausify,[status(thm)],[f_202_3]) ).
cnf(f_202_5,plain,
( cC46(U_900)
| ~ cTEST(U_900) ),
inference(clausify,[status(thm)],[f_202_3]) ).
cnf(f_202_6,plain,
( cTEST(U_901)
| ~ cC46(U_901)
| ~ cC216(U_901) ),
inference(clausify,[status(thm)],[f_202_3]) ).
fof(f_203_1,plain,
cTEST(iV3102),
inference(fof_nnf,[status(thm)],[axiom_202]) ).
cnf(f_203_2,plain,
cTEST(iV3102),
inference(clausify,[status(thm)],[f_203_1]) ).
fof(f_204_1,plain,
cC2xcomp(iV3102),
inference(fof_nnf,[status(thm)],[axiom_203]) ).
cnf(f_204_2,plain,
cC2xcomp(iV3102),
inference(clausify,[status(thm)],[f_204_1]) ).
fof(f_205_1,plain,
! [X] :
( cC24xcomp(X)
| ~ rR1(iV3102,X) ),
inference(fof_nnf,[status(thm)],[axiom_204]) ).
fof(f_205_2,plain,
! [U_902] :
( cC24xcomp(U_902)
| ~ rR1(iV3102,U_902) ),
inference(variable_rename,[status(thm)],[f_205_1]) ).
cnf(f_205_3,plain,
( cC24xcomp(U_902)
| ~ rR1(iV3102,U_902) ),
inference(clausify,[status(thm)],[f_205_2]) ).
fof(f_206_1,plain,
cTOP(iV3102),
inference(fof_nnf,[status(thm)],[axiom_205]) ).
cnf(f_206_2,plain,
cTOP(iV3102),
inference(clausify,[status(thm)],[f_206_1]) ).
fof(f_207_1,plain,
cC26xcomp(iV3102),
inference(fof_nnf,[status(thm)],[axiom_206]) ).
cnf(f_207_2,plain,
cC26xcomp(iV3102),
inference(clausify,[status(thm)],[f_207_1]) ).
fof(f_208_1,plain,
cC32xcomp(iV3102),
inference(fof_nnf,[status(thm)],[axiom_207]) ).
cnf(f_208_2,plain,
cC32xcomp(iV3102),
inference(clausify,[status(thm)],[f_208_1]) ).
fof(f_209_1,plain,
! [X] :
( cC98(X)
| ~ rR1(iV3102,X) ),
inference(fof_nnf,[status(thm)],[axiom_208]) ).
fof(f_209_2,plain,
! [U_903] :
( cC98(U_903)
| ~ rR1(iV3102,U_903) ),
inference(variable_rename,[status(thm)],[f_209_1]) ).
cnf(f_209_3,plain,
( cC98(U_903)
| ~ rR1(iV3102,U_903) ),
inference(clausify,[status(thm)],[f_209_2]) ).
fof(f_210_1,plain,
! [X] :
( cC60xcomp(X)
| ~ rR1(iV3102,X) ),
inference(fof_nnf,[status(thm)],[axiom_209]) ).
fof(f_210_2,plain,
! [U_904] :
( cC60xcomp(U_904)
| ~ rR1(iV3102,U_904) ),
inference(variable_rename,[status(thm)],[f_210_1]) ).
cnf(f_210_3,plain,
( cC60xcomp(U_904)
| ~ rR1(iV3102,U_904) ),
inference(clausify,[status(thm)],[f_210_2]) ).
fof(f_211_1,plain,
cC16xcomp(iV3102),
inference(fof_nnf,[status(thm)],[axiom_210]) ).
cnf(f_211_2,plain,
cC16xcomp(iV3102),
inference(clausify,[status(thm)],[f_211_1]) ).
fof(f_212_1,plain,
cC42xcomp(iV3102),
inference(fof_nnf,[status(thm)],[axiom_211]) ).
cnf(f_212_2,plain,
cC42xcomp(iV3102),
inference(clausify,[status(thm)],[f_212_1]) ).
fof(f_213_1,plain,
cC62xcomp(iV3102),
inference(fof_nnf,[status(thm)],[axiom_212]) ).
cnf(f_213_2,plain,
cC62xcomp(iV3102),
inference(clausify,[status(thm)],[f_213_1]) ).
fof(f_214_1,plain,
! [X] :
( cC40xcomp(X)
| ~ rR1(iV3102,X) ),
inference(fof_nnf,[status(thm)],[axiom_213]) ).
fof(f_214_2,plain,
! [U_905] :
( cC40xcomp(U_905)
| ~ rR1(iV3102,U_905) ),
inference(variable_rename,[status(thm)],[f_214_1]) ).
cnf(f_214_3,plain,
( cC40xcomp(U_905)
| ~ rR1(iV3102,U_905) ),
inference(clausify,[status(thm)],[f_214_2]) ).
fof(f_215_1,plain,
! [X] :
( cC10xcomp(X)
| ~ rR1(iV3102,X) ),
inference(fof_nnf,[status(thm)],[axiom_214]) ).
fof(f_215_2,plain,
! [U_906] :
( cC10xcomp(U_906)
| ~ rR1(iV3102,U_906) ),
inference(variable_rename,[status(thm)],[f_215_1]) ).
cnf(f_215_3,plain,
( cC10xcomp(U_906)
| ~ rR1(iV3102,U_906) ),
inference(clausify,[status(thm)],[f_215_2]) ).
fof(f_216_1,plain,
cC12xcomp(iV3102),
inference(fof_nnf,[status(thm)],[axiom_215]) ).
cnf(f_216_2,plain,
cC12xcomp(iV3102),
inference(clausify,[status(thm)],[f_216_1]) ).
fof(f_217_1,plain,
cC214xcomp(iV3102),
inference(fof_nnf,[status(thm)],[axiom_216]) ).
cnf(f_217_2,plain,
cC214xcomp(iV3102),
inference(clausify,[status(thm)],[f_217_1]) ).
fof(f_218_1,plain,
cowlThing(iV3102),
inference(fof_nnf,[status(thm)],[axiom_217]) ).
cnf(f_218_2,plain,
cowlThing(iV3102),
inference(clausify,[status(thm)],[f_218_1]) ).
fof(f_219_1,plain,
cC100xcomp(iV3102),
inference(fof_nnf,[status(thm)],[axiom_218]) ).
cnf(f_219_2,plain,
cC100xcomp(iV3102),
inference(clausify,[status(thm)],[f_219_1]) ).
fof(f_220_1,negated_conjecture,
~ ( cC30(iV3102)
& cowlThing(iV3102)
& cC28(iV3102)
& cC46(iV3102)
& cC64(iV3102)
& cC216(iV3102)
& cC44(iV3102)
& cC14(iV3102)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_220_2,negated_conjecture,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_220_1]) ).
fof(f_220_3,negated_conjecture,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ? [U_908] :
( ( ~ xsd_string(U_908)
& ~ xsd_integer(U_908) )
| ( xsd_integer(U_908)
& xsd_string(U_908) ) )
| ? [U_907] :
( cowlNothing(U_907)
| ~ cowlThing(U_907) ) ),
inference(variable_rename,[status(thm)],[f_220_2]) ).
fof(f_220_4,negated_conjecture,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ? [U_912] :
( ~ xsd_string(U_912)
& ~ xsd_integer(U_912) )
| ? [U_911] :
( xsd_integer(U_911)
& xsd_string(U_911) )
| ? [U_910] : cowlNothing(U_910)
| ? [U_909] : ~ cowlThing(U_909) ),
inference(miniscope,[status(thm)],[f_220_3]) ).
fof(f_220_5,negated_conjecture,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ? [U_912] :
( ~ xsd_string(U_912)
& ~ xsd_integer(U_912) )
| ? [U_911] :
( xsd_integer(U_911)
& xsd_string(U_911) )
| ? [U_910] : cowlNothing(U_910)
| ~ cowlThing(sK149) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK149]),skolemize(U_909,sK149)],[f_220_4]) ).
fof(f_220_6,negated_conjecture,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ? [U_912] :
( ~ xsd_string(U_912)
& ~ xsd_integer(U_912) )
| ? [U_911] :
( xsd_integer(U_911)
& xsd_string(U_911) )
| cowlNothing(sK150)
| ~ cowlThing(sK149) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK150]),skolemize(U_910,sK150)],[f_220_5]) ).
fof(f_220_7,negated_conjecture,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ? [U_912] :
( ~ xsd_string(U_912)
& ~ xsd_integer(U_912) )
| ( xsd_integer(sK151)
& xsd_string(sK151) )
| cowlNothing(sK150)
| ~ cowlThing(sK149) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK151]),skolemize(U_911,sK151)],[f_220_6]) ).
fof(f_220_8,negated_conjecture,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| ( ~ xsd_string(sK152)
& ~ xsd_integer(sK152) )
| ( xsd_integer(sK151)
& xsd_string(sK151) )
| cowlNothing(sK150)
| ~ cowlThing(sK149) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK152]),skolemize(U_912,sK152)],[f_220_7]) ).
fof(f_220_9,negated_conjecture,
( ( ~ xsd_string(sK152)
| ~ sP1 )
& ( ~ xsd_integer(sK152)
| ~ sP1 )
& ( xsd_integer(sK151)
| ~ sP0 )
& ( xsd_string(sK151)
| ~ sP0 )
& ( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| sP1
| sP0
| cowlNothing(sK150)
| ~ cowlThing(sK149) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_220_8]) ).
cnf(f_220_10,negated_conjecture,
( ~ cC30(iV3102)
| ~ cowlThing(iV3102)
| ~ cC28(iV3102)
| ~ cC46(iV3102)
| ~ cC64(iV3102)
| ~ cC216(iV3102)
| ~ cC44(iV3102)
| ~ cC14(iV3102)
| sP1
| sP0
| cowlNothing(sK150)
| ~ cowlThing(sK149) ),
inference(clausify,[status(thm)],[f_220_9]) ).
cnf(f_220_11,negated_conjecture,
( xsd_string(sK151)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_220_9]) ).
cnf(f_220_12,negated_conjecture,
( xsd_integer(sK151)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_220_9]) ).
cnf(f_220_13,negated_conjecture,
( ~ xsd_integer(sK152)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_220_9]) ).
cnf(f_220_14,negated_conjecture,
( ~ xsd_string(sK152)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_220_9]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS157+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 19 12:17:16 UTC 2026
% 0.10/0.35 % CPUTime :
% 1.36/1.64 % SZS status Theorem for theBenchmark
% 1.36/1.64 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------