%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS154+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 0.80s 1.11s
% Output : Proof 0.88s
% 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)
<=> ~ ? [Y] : ra_Px16(X,Y) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cC10xcomp(X)
<=> ? [Y0] : ra_Px16(X,Y0) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cC100(X)
<=> ? [Y] :
( cC98(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cC100(X)
<=> ~ ? [Y] : ra_Px49(X,Y) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cC100xcomp(X)
<=> ? [Y0] : ra_Px49(X,Y0) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cC102(X)
<=> ? [Y0] : ra_Px35(X,Y0) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( cC102(X)
<=> ( cC100(X)
& cC34(X) ) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( cC102xcomp(X)
<=> ~ ? [Y] : ra_Px35(X,Y) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( cC104(X)
<=> ( cC34(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X] :
( cC106(X)
<=> ? [Y] :
( cC104(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X] :
( cC108(X)
<=> ( cC106(X)
& cC34xcomp(X) ) ),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X] :
( cC108(X)
<=> ? [Y0] : ra_Px36(X,Y0) ),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
! [X] :
( cC108xcomp(X)
<=> ~ ? [Y] : ra_Px36(X,Y) ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X] :
( cC110(X)
<=> ( cC108xcomp(X)
& cC102xcomp(X) ) ),
file('theBenchmark.p',axiom_15) ).
fof(axiom_16,axiom,
! [X] :
( cC110(X)
<=> ~ ? [Y] : ra_Px37(X,Y) ),
file('theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
! [X] :
( cC110xcomp(X)
<=> ? [Y0] : ra_Px37(X,Y0) ),
file('theBenchmark.p',axiom_17) ).
fof(axiom_18,axiom,
! [X] :
( cC112(X)
<=> ( cC110xcomp(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_18) ).
fof(axiom_19,axiom,
! [X] :
( cC112(X)
<=> ? [Y0] : ra_Px39(X,Y0) ),
file('theBenchmark.p',axiom_19) ).
fof(axiom_20,axiom,
! [X] :
( cC112xcomp(X)
<=> ~ ? [Y] : ra_Px39(X,Y) ),
file('theBenchmark.p',axiom_20) ).
fof(axiom_21,axiom,
! [X] :
( cC114(X)
<=> ( cC96xcomp(X)
& cC112xcomp(X) ) ),
file('theBenchmark.p',axiom_21) ).
fof(axiom_22,axiom,
! [X] :
( cC116(X)
<=> ( cC80(X)
& cC114(X) ) ),
file('theBenchmark.p',axiom_22) ).
fof(axiom_23,axiom,
! [X] :
( cC118(X)
<=> ( cC10xcomp(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_23) ).
fof(axiom_24,axiom,
! [X] :
( cC12(X)
<=> ( cC4xcomp(X)
& cC10(X) ) ),
file('theBenchmark.p',axiom_24) ).
fof(axiom_25,axiom,
! [X] :
( cC12(X)
<=> ? [Y0] : ra_Px3(X,Y0) ),
file('theBenchmark.p',axiom_25) ).
fof(axiom_26,axiom,
! [X] :
( cC12xcomp(X)
<=> ~ ? [Y] : ra_Px3(X,Y) ),
file('theBenchmark.p',axiom_26) ).
fof(axiom_27,axiom,
! [X] :
( cC120(X)
<=> ( cC34(X)
& cC118(X) ) ),
file('theBenchmark.p',axiom_27) ).
fof(axiom_28,axiom,
! [X] :
( cC122(X)
<=> ? [Y] :
( cC120(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_28) ).
fof(axiom_29,axiom,
! [X] :
( cC124(X)
<=> ( cC10xcomp(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_29) ).
fof(axiom_30,axiom,
! [X] :
( cC126(X)
<=> ( cC124(X)
& cC34xcomp(X) ) ),
file('theBenchmark.p',axiom_30) ).
fof(axiom_31,axiom,
! [X] :
( cC128(X)
<=> ? [Y] :
( cC126(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_31) ).
fof(axiom_32,axiom,
! [X] :
( cC130(X)
<=> ( cC122(X)
& cC128(X) ) ),
file('theBenchmark.p',axiom_32) ).
fof(axiom_33,axiom,
! [X] :
( cC130(X)
<=> ? [Y0] : ra_Px44(X,Y0) ),
file('theBenchmark.p',axiom_33) ).
fof(axiom_34,axiom,
! [X] :
( cC130xcomp(X)
<=> ~ ? [Y] : ra_Px44(X,Y) ),
file('theBenchmark.p',axiom_34) ).
fof(axiom_35,axiom,
! [X] :
( cC132(X)
<=> ( cC4xcomp(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_35) ).
fof(axiom_36,axiom,
! [X] :
( cC132(X)
<=> ? [Y0] : ra_Px48(X,Y0) ),
file('theBenchmark.p',axiom_36) ).
fof(axiom_37,axiom,
! [X] :
( cC132xcomp(X)
<=> ~ ? [Y] : ra_Px48(X,Y) ),
file('theBenchmark.p',axiom_37) ).
fof(axiom_38,axiom,
! [X] :
( cC134(X)
<=> ( cC132(X)
& cC130xcomp(X) ) ),
file('theBenchmark.p',axiom_38) ).
fof(axiom_39,axiom,
! [X] :
( cC134(X)
<=> ? [Y0] : ra_Px45(X,Y0) ),
file('theBenchmark.p',axiom_39) ).
fof(axiom_40,axiom,
! [X] :
( cC134xcomp(X)
<=> ~ ? [Y] : ra_Px45(X,Y) ),
file('theBenchmark.p',axiom_40) ).
fof(axiom_41,axiom,
! [X] :
( cC136(X)
<=> ~ ? [Y] : ra_Px46(X,Y) ),
file('theBenchmark.p',axiom_41) ).
fof(axiom_42,axiom,
! [X] :
( cC136(X)
<=> ( cC116(X)
& cC134xcomp(X) ) ),
file('theBenchmark.p',axiom_42) ).
fof(axiom_43,axiom,
! [X] :
( cC136xcomp(X)
<=> ? [Y0] : ra_Px46(X,Y0) ),
file('theBenchmark.p',axiom_43) ).
fof(axiom_44,axiom,
! [X] :
( cC138(X)
<=> ? [Y] :
( cC136xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_44) ).
fof(axiom_45,axiom,
! [X] :
( cC138(X)
<=> ? [Y0] : ra_Px47(X,Y0) ),
file('theBenchmark.p',axiom_45) ).
fof(axiom_46,axiom,
! [X] :
( cC138xcomp(X)
<=> ~ ? [Y] : ra_Px47(X,Y) ),
file('theBenchmark.p',axiom_46) ).
fof(axiom_47,axiom,
! [X] :
( cC14(X)
<=> ( cC8xcomp(X)
& cC12xcomp(X) ) ),
file('theBenchmark.p',axiom_47) ).
fof(axiom_48,axiom,
! [X] :
( cC140(X)
<=> ( cC138xcomp(X)
& cC74(X) ) ),
file('theBenchmark.p',axiom_48) ).
fof(axiom_49,axiom,
! [X] :
( cC16(X)
<=> ~ ? [Y] : ra_Px4(X,Y) ),
file('theBenchmark.p',axiom_49) ).
fof(axiom_50,axiom,
! [X] :
( cC16xcomp(X)
<=> ? [Y0] : ra_Px4(X,Y0) ),
file('theBenchmark.p',axiom_50) ).
fof(axiom_51,axiom,
! [X] :
( cC18(X)
<=> ( cC16xcomp(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_51) ).
fof(axiom_52,axiom,
! [X] :
( cC18(X)
<=> ? [Y0] : ra_Px56(X,Y0) ),
file('theBenchmark.p',axiom_52) ).
fof(axiom_53,axiom,
! [X] :
( cC18xcomp(X)
<=> ~ ? [Y] : ra_Px56(X,Y) ),
file('theBenchmark.p',axiom_53) ).
fof(axiom_54,axiom,
! [X] :
( cC2(X)
<=> ~ ? [Y] : ra_Px22(X,Y) ),
file('theBenchmark.p',axiom_54) ).
fof(axiom_55,axiom,
! [X] :
( cC2xcomp(X)
<=> ? [Y0] : ra_Px22(X,Y0) ),
file('theBenchmark.p',axiom_55) ).
fof(axiom_56,axiom,
! [X] :
( cC20(X)
<=> ? [Y] :
( cC18(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_56) ).
fof(axiom_57,axiom,
! [X] :
( cC22(X)
<=> ( cC20(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_57) ).
fof(axiom_58,axiom,
! [X] :
( cC22(X)
<=> ? [Y0] : ra_Px6(X,Y0) ),
file('theBenchmark.p',axiom_58) ).
fof(axiom_59,axiom,
! [X] :
( cC22xcomp(X)
<=> ~ ? [Y] : ra_Px6(X,Y) ),
file('theBenchmark.p',axiom_59) ).
fof(axiom_60,axiom,
! [X] :
( cC24(X)
<=> ( cC2(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_60) ).
fof(axiom_61,axiom,
! [X] :
( cC26(X)
<=> ? [Y] :
( cC24(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_61) ).
fof(axiom_62,axiom,
! [X] :
( cC28(X)
<=> ~ ? [Y] : ra_Px7(X,Y) ),
file('theBenchmark.p',axiom_62) ).
fof(axiom_63,axiom,
! [X] :
( cC28(X)
<=> ( cC16xcomp(X)
& cC26(X) ) ),
file('theBenchmark.p',axiom_63) ).
fof(axiom_64,axiom,
! [X] :
( cC28xcomp(X)
<=> ? [Y0] : ra_Px7(X,Y0) ),
file('theBenchmark.p',axiom_64) ).
fof(axiom_65,axiom,
! [X] :
( cC30(X)
<=> ? [Y0] : ra_Px8(X,Y0) ),
file('theBenchmark.p',axiom_65) ).
fof(axiom_66,axiom,
! [X] :
( cC30(X)
<=> ( cC28xcomp(X)
& cC22xcomp(X) ) ),
file('theBenchmark.p',axiom_66) ).
fof(axiom_67,axiom,
! [X] :
( cC30xcomp(X)
<=> ~ ? [Y] : ra_Px8(X,Y) ),
file('theBenchmark.p',axiom_67) ).
fof(axiom_68,axiom,
! [X] :
( cC32(X)
<=> ( cC30xcomp(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_68) ).
fof(axiom_69,axiom,
! [X] :
( cC32(X)
<=> ? [Y0] : ra_Px14(X,Y0) ),
file('theBenchmark.p',axiom_69) ).
fof(axiom_70,axiom,
! [X] :
( cC32xcomp(X)
<=> ~ ? [Y] : ra_Px14(X,Y) ),
file('theBenchmark.p',axiom_70) ).
fof(axiom_71,axiom,
! [X] :
( cC34(X)
<=> ? [Y0] : ra_Px9(X,Y0) ),
file('theBenchmark.p',axiom_71) ).
fof(axiom_72,axiom,
! [X] :
( cC34xcomp(X)
<=> ~ ? [Y] : ra_Px9(X,Y) ),
file('theBenchmark.p',axiom_72) ).
fof(axiom_73,axiom,
! [X] :
( cC36(X)
<=> ( cC4(X)
& cC34xcomp(X) ) ),
file('theBenchmark.p',axiom_73) ).
fof(axiom_74,axiom,
! [X] :
( cC38(X)
<=> ? [Y] :
( cC36(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_74) ).
fof(axiom_75,axiom,
! [X] :
( cC4(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_75) ).
fof(axiom_76,axiom,
! [X] :
( cC4xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_76) ).
fof(axiom_77,axiom,
! [X] :
( cC40(X)
<=> ? [Y0] : ra_Px11(X,Y0) ),
file('theBenchmark.p',axiom_77) ).
fof(axiom_78,axiom,
! [X] :
( cC40(X)
<=> ( cC38(X)
& cC34(X) ) ),
file('theBenchmark.p',axiom_78) ).
fof(axiom_79,axiom,
! [X] :
( cC40xcomp(X)
<=> ~ ? [Y] : ra_Px11(X,Y) ),
file('theBenchmark.p',axiom_79) ).
fof(axiom_80,axiom,
! [X] :
( cC42(X)
<=> ( cC34(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_80) ).
fof(axiom_81,axiom,
! [X] :
( cC44(X)
<=> ? [Y] :
( cC42(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_81) ).
fof(axiom_82,axiom,
! [X] :
( cC46(X)
<=> ? [Y0] : ra_Px12(X,Y0) ),
file('theBenchmark.p',axiom_82) ).
fof(axiom_83,axiom,
! [X] :
( cC46(X)
<=> ( cC44(X)
& cC34xcomp(X) ) ),
file('theBenchmark.p',axiom_83) ).
fof(axiom_84,axiom,
! [X] :
( cC46xcomp(X)
<=> ~ ? [Y] : ra_Px12(X,Y) ),
file('theBenchmark.p',axiom_84) ).
fof(axiom_85,axiom,
! [X] :
( cC48(X)
<=> ~ ? [Y] : ra_Px13(X,Y) ),
file('theBenchmark.p',axiom_85) ).
fof(axiom_86,axiom,
! [X] :
( cC48(X)
<=> ( cC46xcomp(X)
& cC40xcomp(X) ) ),
file('theBenchmark.p',axiom_86) ).
fof(axiom_87,axiom,
! [X] :
( cC48xcomp(X)
<=> ? [Y0] : ra_Px13(X,Y0) ),
file('theBenchmark.p',axiom_87) ).
fof(axiom_88,axiom,
! [X] :
( cC50(X)
<=> ? [Y0] : ra_Px15(X,Y0) ),
file('theBenchmark.p',axiom_88) ).
fof(axiom_89,axiom,
! [X] :
( cC50(X)
<=> ( cC48xcomp(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_89) ).
fof(axiom_90,axiom,
! [X] :
( cC50xcomp(X)
<=> ~ ? [Y] : ra_Px15(X,Y) ),
file('theBenchmark.p',axiom_90) ).
fof(axiom_91,axiom,
! [X] :
( cC52(X)
<=> ( cC50xcomp(X)
& cC32xcomp(X) ) ),
file('theBenchmark.p',axiom_91) ).
fof(axiom_92,axiom,
! [X] :
( cC54(X)
<=> ( cC52(X)
& cC14(X) ) ),
file('theBenchmark.p',axiom_92) ).
fof(axiom_93,axiom,
! [X] :
( cC56(X)
<=> ( cC10xcomp(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_93) ).
fof(axiom_94,axiom,
! [X] :
( cC58(X)
<=> ( cC56(X)
& cC34(X) ) ),
file('theBenchmark.p',axiom_94) ).
fof(axiom_95,axiom,
! [X] :
( cC6(X)
<=> ( cC4xcomp(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_95) ).
fof(axiom_96,axiom,
! [X] :
( cC60(X)
<=> ? [Y] :
( cC58(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_96) ).
fof(axiom_97,axiom,
! [X] :
( cC62(X)
<=> ( cC10xcomp(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_97) ).
fof(axiom_98,axiom,
! [X] :
( cC64(X)
<=> ( cC62(X)
& cC34xcomp(X) ) ),
file('theBenchmark.p',axiom_98) ).
fof(axiom_99,axiom,
! [X] :
( cC66(X)
<=> ? [Y] :
( cC64(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_99) ).
fof(axiom_100,axiom,
! [X] :
( cC68(X)
<=> ( cC60(X)
& cC66(X) ) ),
file('theBenchmark.p',axiom_100) ).
fof(axiom_101,axiom,
! [X] :
( cC68(X)
<=> ? [Y0] : ra_Px20(X,Y0) ),
file('theBenchmark.p',axiom_101) ).
fof(axiom_102,axiom,
! [X] :
( cC68xcomp(X)
<=> ~ ? [Y] : ra_Px20(X,Y) ),
file('theBenchmark.p',axiom_102) ).
fof(axiom_103,axiom,
! [X] :
( cC70(X)
<=> ( cC4xcomp(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_103) ).
fof(axiom_104,axiom,
! [X] :
( cC72(X)
<=> ? [Y0] : ra_Px21(X,Y0) ),
file('theBenchmark.p',axiom_104) ).
fof(axiom_105,axiom,
! [X] :
( cC72(X)
<=> ( cC68xcomp(X)
& cC70(X) ) ),
file('theBenchmark.p',axiom_105) ).
fof(axiom_106,axiom,
! [X] :
( cC72xcomp(X)
<=> ~ ? [Y] : ra_Px21(X,Y) ),
file('theBenchmark.p',axiom_106) ).
fof(axiom_107,axiom,
! [X] :
( cC74(X)
<=> ( cC72xcomp(X)
& cC54(X) ) ),
file('theBenchmark.p',axiom_107) ).
fof(axiom_108,axiom,
! [X] :
( cC76(X)
<=> ? [Y0] : ra_Px24(X,Y0) ),
file('theBenchmark.p',axiom_108) ).
fof(axiom_109,axiom,
! [X] :
( cC76(X)
<=> ( cC2xcomp(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_109) ).
fof(axiom_110,axiom,
! [X] :
( cC76xcomp(X)
<=> ~ ? [Y] : ra_Px24(X,Y) ),
file('theBenchmark.p',axiom_110) ).
fof(axiom_111,axiom,
! [X] :
( cC78(X)
<=> ( cC4xcomp(X)
& cC10(X) ) ),
file('theBenchmark.p',axiom_111) ).
fof(axiom_112,axiom,
! [X] :
( cC78(X)
<=> ~ ? [Y] : ra_Px25(X,Y) ),
file('theBenchmark.p',axiom_112) ).
fof(axiom_113,axiom,
! [X] :
( cC78xcomp(X)
<=> ? [Y0] : ra_Px25(X,Y0) ),
file('theBenchmark.p',axiom_113) ).
fof(axiom_114,axiom,
! [X] :
( cC8(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('theBenchmark.p',axiom_114) ).
fof(axiom_115,axiom,
! [X] :
( cC8(X)
<=> ( cC2xcomp(X)
& cC4(X) ) ),
file('theBenchmark.p',axiom_115) ).
fof(axiom_116,axiom,
! [X] :
( cC8xcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('theBenchmark.p',axiom_116) ).
fof(axiom_117,axiom,
! [X] :
( cC80(X)
<=> ( cC76xcomp(X)
& cC78xcomp(X) ) ),
file('theBenchmark.p',axiom_117) ).
fof(axiom_118,axiom,
! [X] :
( cC82(X)
<=> ? [Y0] : ra_Px65(X,Y0) ),
file('theBenchmark.p',axiom_118) ).
fof(axiom_119,axiom,
! [X] :
( cC82(X)
<=> ( cC16xcomp(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_119) ).
fof(axiom_120,axiom,
! [X] :
( cC82xcomp(X)
<=> ~ ? [Y] : ra_Px65(X,Y) ),
file('theBenchmark.p',axiom_120) ).
fof(axiom_121,axiom,
! [X] :
( cC84(X)
<=> ? [Y0] : ra_Px53(X,Y0) ),
file('theBenchmark.p',axiom_121) ).
fof(axiom_122,axiom,
! [X] :
( cC84(X)
<=> ? [Y] :
( cC82(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_122) ).
fof(axiom_123,axiom,
! [X] :
( cC84xcomp(X)
<=> ~ ? [Y] : ra_Px53(X,Y) ),
file('theBenchmark.p',axiom_123) ).
fof(axiom_124,axiom,
! [X] :
( cC86(X)
<=> ( cC84(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_124) ).
fof(axiom_125,axiom,
! [X] :
( cC86(X)
<=> ~ ? [Y] : ra_Px28(X,Y) ),
file('theBenchmark.p',axiom_125) ).
fof(axiom_126,axiom,
! [X] :
( cC86xcomp(X)
<=> ? [Y0] : ra_Px28(X,Y0) ),
file('theBenchmark.p',axiom_126) ).
fof(axiom_127,axiom,
! [X] :
( cC88(X)
<=> ( cC2(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_127) ).
fof(axiom_128,axiom,
! [X] :
( cC88(X)
<=> ~ ? [Y] : ra_Px64(X,Y) ),
file('theBenchmark.p',axiom_128) ).
fof(axiom_129,axiom,
! [X] :
( cC88xcomp(X)
<=> ? [Y0] : ra_Px64(X,Y0) ),
file('theBenchmark.p',axiom_129) ).
fof(axiom_130,axiom,
! [X] :
( cC90(X)
<=> ? [Y] :
( cC88(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_130) ).
fof(axiom_131,axiom,
! [X] :
( cC90(X)
<=> ~ ? [Y] : ra_Px52(X,Y) ),
file('theBenchmark.p',axiom_131) ).
fof(axiom_132,axiom,
! [X] :
( cC90xcomp(X)
<=> ? [Y0] : ra_Px52(X,Y0) ),
file('theBenchmark.p',axiom_132) ).
fof(axiom_133,axiom,
! [X] :
( cC92(X)
<=> ? [Y0] : ra_Px29(X,Y0) ),
file('theBenchmark.p',axiom_133) ).
fof(axiom_134,axiom,
! [X] :
( cC92(X)
<=> ( cC16xcomp(X)
& cC90(X) ) ),
file('theBenchmark.p',axiom_134) ).
fof(axiom_135,axiom,
! [X] :
( cC92xcomp(X)
<=> ~ ? [Y] : ra_Px29(X,Y) ),
file('theBenchmark.p',axiom_135) ).
fof(axiom_136,axiom,
! [X] :
( cC94(X)
<=> ( cC92xcomp(X)
& cC86xcomp(X) ) ),
file('theBenchmark.p',axiom_136) ).
fof(axiom_137,axiom,
! [X] :
( cC94(X)
<=> ? [Y0] : ra_Px30(X,Y0) ),
file('theBenchmark.p',axiom_137) ).
fof(axiom_138,axiom,
! [X] :
( cC94xcomp(X)
<=> ~ ? [Y] : ra_Px30(X,Y) ),
file('theBenchmark.p',axiom_138) ).
fof(axiom_139,axiom,
! [X] :
( cC96(X)
<=> ? [Y0] : ra_Px38(X,Y0) ),
file('theBenchmark.p',axiom_139) ).
fof(axiom_140,axiom,
! [X] :
( cC96(X)
<=> ( cC94xcomp(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_140) ).
fof(axiom_141,axiom,
! [X] :
( cC96xcomp(X)
<=> ~ ? [Y] : ra_Px38(X,Y) ),
file('theBenchmark.p',axiom_141) ).
fof(axiom_142,axiom,
! [X] :
( cC98(X)
<=> ? [Y0] : ra_Px63(X,Y0) ),
file('theBenchmark.p',axiom_142) ).
fof(axiom_143,axiom,
! [X] :
( cC98(X)
<=> ( cC4(X)
& cC34xcomp(X) ) ),
file('theBenchmark.p',axiom_143) ).
fof(axiom_144,axiom,
! [X] :
( cC98xcomp(X)
<=> ~ ? [Y] : ra_Px63(X,Y) ),
file('theBenchmark.p',axiom_144) ).
fof(axiom_145,axiom,
! [X] :
( cTEST(X)
<=> ( cC140(X)
& cC6(X) ) ),
file('theBenchmark.p',axiom_145) ).
fof(axiom_146,axiom,
cC16(iV822576),
file('theBenchmark.p',axiom_146) ).
fof(axiom_147,axiom,
cC102xcomp(iV822576),
file('theBenchmark.p',axiom_147) ).
fof(axiom_148,axiom,
cC108xcomp(iV822576),
file('theBenchmark.p',axiom_148) ).
fof(axiom_149,axiom,
cC4(iV822576),
file('theBenchmark.p',axiom_149) ).
fof(axiom_150,axiom,
cC18xcomp(iV822576),
file('theBenchmark.p',axiom_150) ).
fof(axiom_151,axiom,
cC112xcomp(iV822576),
file('theBenchmark.p',axiom_151) ).
fof(axiom_152,axiom,
cC76xcomp(iV822576),
file('theBenchmark.p',axiom_152) ).
fof(axiom_153,axiom,
cC96xcomp(iV822576),
file('theBenchmark.p',axiom_153) ).
fof(axiom_154,axiom,
cC132xcomp(iV822576),
file('theBenchmark.p',axiom_154) ).
fof(axiom_155,axiom,
cC100xcomp(iV822576),
file('theBenchmark.p',axiom_155) ).
fof(axiom_156,axiom,
! [X] :
( rR1(iV822576,X)
=> cC98xcomp(X) ),
file('theBenchmark.p',axiom_156) ).
fof(axiom_157,axiom,
cC90xcomp(iV822576),
file('theBenchmark.p',axiom_157) ).
fof(axiom_158,axiom,
cC78xcomp(iV822576),
file('theBenchmark.p',axiom_158) ).
fof(axiom_159,axiom,
! [X] :
( rR1(iV822576,X)
=> cC82xcomp(X) ),
file('theBenchmark.p',axiom_159) ).
fof(axiom_160,axiom,
cC134xcomp(iV822576),
file('theBenchmark.p',axiom_160) ).
fof(axiom_161,axiom,
cC86xcomp(iV822576),
file('theBenchmark.p',axiom_161) ).
fof(axiom_162,axiom,
cC34(iV822576),
file('theBenchmark.p',axiom_162) ).
fof(axiom_163,axiom,
cC84xcomp(iV822576),
file('theBenchmark.p',axiom_163) ).
fof(axiom_164,axiom,
! [X] :
( rR1(iV822576,X)
=> cC88xcomp(X) ),
file('theBenchmark.p',axiom_164) ).
fof(axiom_165,axiom,
cC2(iV822576),
file('theBenchmark.p',axiom_165) ).
fof(axiom_166,axiom,
cowlThing(iV822576),
file('theBenchmark.p',axiom_166) ).
fof(axiom_167,axiom,
cC10xcomp(iV822576),
file('theBenchmark.p',axiom_167) ).
fof(axiom_168,axiom,
cC92xcomp(iV822576),
file('theBenchmark.p',axiom_168) ).
fof(the_axiom,conjecture,
( cC56(iV822576)
& cC136(iV822576)
& cC110(iV822576)
& cC80(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& ! [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)
| ? [Y] : ra_Px16(X,Y) )
& ( ! [Y] : ~ ra_Px16(X,Y)
| ~ cC10(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_8] :
( ( cC10(U_8)
| ? [U_7] : ra_Px16(U_8,U_7) )
& ( ! [U_6] : ~ ra_Px16(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_Px16(U_10,U_7) )
& ! [U_9] :
( ! [U_6] : ~ ra_Px16(U_9,U_6)
| ~ cC10(U_9) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_10] :
( cC10(U_10)
| ra_Px16(U_10,sK1(U_10)) )
& ! [U_9] :
( ! [U_6] : ~ ra_Px16(U_9,U_6)
| ~ cC10(U_9) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_7,sK1(U_10))],[f_3_3]) ).
cnf(f_3_5,plain,
( ~ ra_Px16(U_9,U_6)
| ~ cC10(U_9) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_6,plain,
( cC10(U_10)
| ra_Px16(U_10,sK1(U_10)) ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
! [X] :
( ( cC10xcomp(X)
| ! [Y0] : ~ ra_Px16(X,Y0) )
& ( ? [Y0] : ra_Px16(X,Y0)
| ~ cC10xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_13] :
( ( cC10xcomp(U_13)
| ! [U_12] : ~ ra_Px16(U_13,U_12) )
& ( ? [U_11] : ra_Px16(U_13,U_11)
| ~ cC10xcomp(U_13) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_15] :
( cC10xcomp(U_15)
| ! [U_12] : ~ ra_Px16(U_15,U_12) )
& ! [U_14] :
( ? [U_11] : ra_Px16(U_14,U_11)
| ~ cC10xcomp(U_14) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
fof(f_4_4,plain,
( ! [U_15] :
( cC10xcomp(U_15)
| ! [U_12] : ~ ra_Px16(U_15,U_12) )
& ! [U_14] :
( ra_Px16(U_14,sK2(U_14))
| ~ cC10xcomp(U_14) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_11,sK2(U_14))],[f_4_3]) ).
cnf(f_4_5,plain,
( ra_Px16(U_14,sK2(U_14))
| ~ cC10xcomp(U_14) ),
inference(clausify,[status(thm)],[f_4_4]) ).
cnf(f_4_6,plain,
( cC10xcomp(U_15)
| ~ ra_Px16(U_15,U_12) ),
inference(clausify,[status(thm)],[f_4_4]) ).
fof(f_5_1,plain,
! [X] :
( ( cC100(X)
| ! [Y] :
( ~ cC98(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC98(Y)
& rR1(X,Y) )
| ~ cC100(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_18] :
( ( cC100(U_18)
| ! [U_17] :
( ~ cC98(U_17)
| ~ rR1(U_18,U_17) ) )
& ( ? [U_16] :
( cC98(U_16)
& rR1(U_18,U_16) )
| ~ cC100(U_18) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_20] :
( cC100(U_20)
| ! [U_17] :
( ~ cC98(U_17)
| ~ rR1(U_20,U_17) ) )
& ! [U_19] :
( ? [U_16] :
( cC98(U_16)
& rR1(U_19,U_16) )
| ~ cC100(U_19) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_20] :
( cC100(U_20)
| ! [U_17] :
( ~ cC98(U_17)
| ~ rR1(U_20,U_17) ) )
& ! [U_19] :
( ( cC98(sK3(U_19))
& rR1(U_19,sK3(U_19)) )
| ~ cC100(U_19) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_16,sK3(U_19))],[f_5_3]) ).
cnf(f_5_5,plain,
( rR1(U_19,sK3(U_19))
| ~ cC100(U_19) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_6,plain,
( cC98(sK3(U_19))
| ~ cC100(U_19) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_7,plain,
( cC100(U_20)
| ~ cC98(U_17)
| ~ rR1(U_20,U_17) ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_6_1,plain,
! [X] :
( ( cC100(X)
| ? [Y] : ra_Px49(X,Y) )
& ( ! [Y] : ~ ra_Px49(X,Y)
| ~ cC100(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_23] :
( ( cC100(U_23)
| ? [U_22] : ra_Px49(U_23,U_22) )
& ( ! [U_21] : ~ ra_Px49(U_23,U_21)
| ~ cC100(U_23) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_25] :
( cC100(U_25)
| ? [U_22] : ra_Px49(U_25,U_22) )
& ! [U_24] :
( ! [U_21] : ~ ra_Px49(U_24,U_21)
| ~ cC100(U_24) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
fof(f_6_4,plain,
( ! [U_25] :
( cC100(U_25)
| ra_Px49(U_25,sK4(U_25)) )
& ! [U_24] :
( ! [U_21] : ~ ra_Px49(U_24,U_21)
| ~ cC100(U_24) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_22,sK4(U_25))],[f_6_3]) ).
cnf(f_6_5,plain,
( ~ ra_Px49(U_24,U_21)
| ~ cC100(U_24) ),
inference(clausify,[status(thm)],[f_6_4]) ).
cnf(f_6_6,plain,
( cC100(U_25)
| ra_Px49(U_25,sK4(U_25)) ),
inference(clausify,[status(thm)],[f_6_4]) ).
fof(f_7_1,plain,
! [X] :
( ( cC100xcomp(X)
| ! [Y0] : ~ ra_Px49(X,Y0) )
& ( ? [Y0] : ra_Px49(X,Y0)
| ~ cC100xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_28] :
( ( cC100xcomp(U_28)
| ! [U_27] : ~ ra_Px49(U_28,U_27) )
& ( ? [U_26] : ra_Px49(U_28,U_26)
| ~ cC100xcomp(U_28) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_30] :
( cC100xcomp(U_30)
| ! [U_27] : ~ ra_Px49(U_30,U_27) )
& ! [U_29] :
( ? [U_26] : ra_Px49(U_29,U_26)
| ~ cC100xcomp(U_29) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
( ! [U_30] :
( cC100xcomp(U_30)
| ! [U_27] : ~ ra_Px49(U_30,U_27) )
& ! [U_29] :
( ra_Px49(U_29,sK5(U_29))
| ~ cC100xcomp(U_29) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_26,sK5(U_29))],[f_7_3]) ).
cnf(f_7_5,plain,
( ra_Px49(U_29,sK5(U_29))
| ~ cC100xcomp(U_29) ),
inference(clausify,[status(thm)],[f_7_4]) ).
cnf(f_7_6,plain,
( cC100xcomp(U_30)
| ~ ra_Px49(U_30,U_27) ),
inference(clausify,[status(thm)],[f_7_4]) ).
fof(f_8_1,plain,
! [X] :
( ( cC102(X)
| ! [Y0] : ~ ra_Px35(X,Y0) )
& ( ? [Y0] : ra_Px35(X,Y0)
| ~ cC102(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_33] :
( ( cC102(U_33)
| ! [U_32] : ~ ra_Px35(U_33,U_32) )
& ( ? [U_31] : ra_Px35(U_33,U_31)
| ~ cC102(U_33) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_35] :
( cC102(U_35)
| ! [U_32] : ~ ra_Px35(U_35,U_32) )
& ! [U_34] :
( ? [U_31] : ra_Px35(U_34,U_31)
| ~ cC102(U_34) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_35] :
( cC102(U_35)
| ! [U_32] : ~ ra_Px35(U_35,U_32) )
& ! [U_34] :
( ra_Px35(U_34,sK6(U_34))
| ~ cC102(U_34) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_31,sK6(U_34))],[f_8_3]) ).
cnf(f_8_5,plain,
( ra_Px35(U_34,sK6(U_34))
| ~ cC102(U_34) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_6,plain,
( cC102(U_35)
| ~ ra_Px35(U_35,U_32) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [X] :
( ( cC102(X)
| ~ cC100(X)
| ~ cC34(X) )
& ( ( cC100(X)
& cC34(X) )
| ~ cC102(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
! [U_36] :
( ( cC102(U_36)
| ~ cC100(U_36)
| ~ cC34(U_36) )
& ( ( cC100(U_36)
& cC34(U_36) )
| ~ cC102(U_36) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_38] :
( cC102(U_38)
| ~ cC100(U_38)
| ~ cC34(U_38) )
& ! [U_37] :
( ( cC100(U_37)
& cC34(U_37) )
| ~ cC102(U_37) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
cnf(f_9_4,plain,
( cC34(U_37)
| ~ cC102(U_37) ),
inference(clausify,[status(thm)],[f_9_3]) ).
cnf(f_9_5,plain,
( cC100(U_37)
| ~ cC102(U_37) ),
inference(clausify,[status(thm)],[f_9_3]) ).
cnf(f_9_6,plain,
( cC102(U_38)
| ~ cC100(U_38)
| ~ cC34(U_38) ),
inference(clausify,[status(thm)],[f_9_3]) ).
fof(f_10_1,plain,
! [X] :
( ( cC102xcomp(X)
| ? [Y] : ra_Px35(X,Y) )
& ( ! [Y] : ~ ra_Px35(X,Y)
| ~ cC102xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_10_2,plain,
! [U_41] :
( ( cC102xcomp(U_41)
| ? [U_40] : ra_Px35(U_41,U_40) )
& ( ! [U_39] : ~ ra_Px35(U_41,U_39)
| ~ cC102xcomp(U_41) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_43] :
( cC102xcomp(U_43)
| ? [U_40] : ra_Px35(U_43,U_40) )
& ! [U_42] :
( ! [U_39] : ~ ra_Px35(U_42,U_39)
| ~ cC102xcomp(U_42) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
fof(f_10_4,plain,
( ! [U_43] :
( cC102xcomp(U_43)
| ra_Px35(U_43,sK7(U_43)) )
& ! [U_42] :
( ! [U_39] : ~ ra_Px35(U_42,U_39)
| ~ cC102xcomp(U_42) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_40,sK7(U_43))],[f_10_3]) ).
cnf(f_10_5,plain,
( ~ ra_Px35(U_42,U_39)
| ~ cC102xcomp(U_42) ),
inference(clausify,[status(thm)],[f_10_4]) ).
cnf(f_10_6,plain,
( cC102xcomp(U_43)
| ra_Px35(U_43,sK7(U_43)) ),
inference(clausify,[status(thm)],[f_10_4]) ).
fof(f_11_1,plain,
! [X] :
( ( cC104(X)
| ~ cC34(X)
| ~ cC4(X) )
& ( ( cC34(X)
& cC4(X) )
| ~ cC104(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_11_2,plain,
! [U_44] :
( ( cC104(U_44)
| ~ cC34(U_44)
| ~ cC4(U_44) )
& ( ( cC34(U_44)
& cC4(U_44) )
| ~ cC104(U_44) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_46] :
( cC104(U_46)
| ~ cC34(U_46)
| ~ cC4(U_46) )
& ! [U_45] :
( ( cC34(U_45)
& cC4(U_45) )
| ~ cC104(U_45) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
cnf(f_11_4,plain,
( cC4(U_45)
| ~ cC104(U_45) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_5,plain,
( cC34(U_45)
| ~ cC104(U_45) ),
inference(clausify,[status(thm)],[f_11_3]) ).
cnf(f_11_6,plain,
( cC104(U_46)
| ~ cC34(U_46)
| ~ cC4(U_46) ),
inference(clausify,[status(thm)],[f_11_3]) ).
fof(f_12_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_11]) ).
fof(f_12_2,plain,
! [U_49] :
( ( cC106(U_49)
| ! [U_48] :
( ~ cC104(U_48)
| ~ rR1(U_49,U_48) ) )
& ( ? [U_47] :
( cC104(U_47)
& rR1(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] :
( ~ cC104(U_48)
| ~ rR1(U_51,U_48) ) )
& ! [U_50] :
( ? [U_47] :
( cC104(U_47)
& rR1(U_50,U_47) )
| ~ cC106(U_50) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_51] :
( cC106(U_51)
| ! [U_48] :
( ~ cC104(U_48)
| ~ rR1(U_51,U_48) ) )
& ! [U_50] :
( ( cC104(sK8(U_50))
& rR1(U_50,sK8(U_50)) )
| ~ cC106(U_50) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_47,sK8(U_50))],[f_12_3]) ).
cnf(f_12_5,plain,
( rR1(U_50,sK8(U_50))
| ~ cC106(U_50) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_6,plain,
( cC104(sK8(U_50))
| ~ cC106(U_50) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_7,plain,
( cC106(U_51)
| ~ cC104(U_48)
| ~ rR1(U_51,U_48) ),
inference(clausify,[status(thm)],[f_12_4]) ).
fof(f_13_1,plain,
! [X] :
( ( cC108(X)
| ~ cC106(X)
| ~ cC34xcomp(X) )
& ( ( cC106(X)
& cC34xcomp(X) )
| ~ cC108(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_13_2,plain,
! [U_52] :
( ( cC108(U_52)
| ~ cC106(U_52)
| ~ cC34xcomp(U_52) )
& ( ( cC106(U_52)
& cC34xcomp(U_52) )
| ~ cC108(U_52) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_54] :
( cC108(U_54)
| ~ cC106(U_54)
| ~ cC34xcomp(U_54) )
& ! [U_53] :
( ( cC106(U_53)
& cC34xcomp(U_53) )
| ~ cC108(U_53) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
cnf(f_13_4,plain,
( cC34xcomp(U_53)
| ~ cC108(U_53) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_5,plain,
( cC106(U_53)
| ~ cC108(U_53) ),
inference(clausify,[status(thm)],[f_13_3]) ).
cnf(f_13_6,plain,
( cC108(U_54)
| ~ cC106(U_54)
| ~ cC34xcomp(U_54) ),
inference(clausify,[status(thm)],[f_13_3]) ).
fof(f_14_1,plain,
! [X] :
( ( cC108(X)
| ! [Y0] : ~ ra_Px36(X,Y0) )
& ( ? [Y0] : ra_Px36(X,Y0)
| ~ cC108(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_14_2,plain,
! [U_57] :
( ( cC108(U_57)
| ! [U_56] : ~ ra_Px36(U_57,U_56) )
& ( ? [U_55] : ra_Px36(U_57,U_55)
| ~ cC108(U_57) ) ),
inference(variable_rename,[status(thm)],[f_14_1]) ).
fof(f_14_3,plain,
( ! [U_59] :
( cC108(U_59)
| ! [U_56] : ~ ra_Px36(U_59,U_56) )
& ! [U_58] :
( ? [U_55] : ra_Px36(U_58,U_55)
| ~ cC108(U_58) ) ),
inference(miniscope,[status(thm)],[f_14_2]) ).
fof(f_14_4,plain,
( ! [U_59] :
( cC108(U_59)
| ! [U_56] : ~ ra_Px36(U_59,U_56) )
& ! [U_58] :
( ra_Px36(U_58,sK9(U_58))
| ~ cC108(U_58) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(U_55,sK9(U_58))],[f_14_3]) ).
cnf(f_14_5,plain,
( ra_Px36(U_58,sK9(U_58))
| ~ cC108(U_58) ),
inference(clausify,[status(thm)],[f_14_4]) ).
cnf(f_14_6,plain,
( cC108(U_59)
| ~ ra_Px36(U_59,U_56) ),
inference(clausify,[status(thm)],[f_14_4]) ).
fof(f_15_1,plain,
! [X] :
( ( cC108xcomp(X)
| ? [Y] : ra_Px36(X,Y) )
& ( ! [Y] : ~ ra_Px36(X,Y)
| ~ cC108xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_15_2,plain,
! [U_62] :
( ( cC108xcomp(U_62)
| ? [U_61] : ra_Px36(U_62,U_61) )
& ( ! [U_60] : ~ ra_Px36(U_62,U_60)
| ~ cC108xcomp(U_62) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_64] :
( cC108xcomp(U_64)
| ? [U_61] : ra_Px36(U_64,U_61) )
& ! [U_63] :
( ! [U_60] : ~ ra_Px36(U_63,U_60)
| ~ cC108xcomp(U_63) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
fof(f_15_4,plain,
( ! [U_64] :
( cC108xcomp(U_64)
| ra_Px36(U_64,sK10(U_64)) )
& ! [U_63] :
( ! [U_60] : ~ ra_Px36(U_63,U_60)
| ~ cC108xcomp(U_63) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_61,sK10(U_64))],[f_15_3]) ).
cnf(f_15_5,plain,
( ~ ra_Px36(U_63,U_60)
| ~ cC108xcomp(U_63) ),
inference(clausify,[status(thm)],[f_15_4]) ).
cnf(f_15_6,plain,
( cC108xcomp(U_64)
| ra_Px36(U_64,sK10(U_64)) ),
inference(clausify,[status(thm)],[f_15_4]) ).
fof(f_16_1,plain,
! [X] :
( ( cC110(X)
| ~ cC108xcomp(X)
| ~ cC102xcomp(X) )
& ( ( cC108xcomp(X)
& cC102xcomp(X) )
| ~ cC110(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
fof(f_16_2,plain,
! [U_65] :
( ( cC110(U_65)
| ~ cC108xcomp(U_65)
| ~ cC102xcomp(U_65) )
& ( ( cC108xcomp(U_65)
& cC102xcomp(U_65) )
| ~ cC110(U_65) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_67] :
( cC110(U_67)
| ~ cC108xcomp(U_67)
| ~ cC102xcomp(U_67) )
& ! [U_66] :
( ( cC108xcomp(U_66)
& cC102xcomp(U_66) )
| ~ cC110(U_66) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
cnf(f_16_4,plain,
( cC102xcomp(U_66)
| ~ cC110(U_66) ),
inference(clausify,[status(thm)],[f_16_3]) ).
cnf(f_16_5,plain,
( cC108xcomp(U_66)
| ~ cC110(U_66) ),
inference(clausify,[status(thm)],[f_16_3]) ).
cnf(f_16_6,plain,
( cC110(U_67)
| ~ cC108xcomp(U_67)
| ~ cC102xcomp(U_67) ),
inference(clausify,[status(thm)],[f_16_3]) ).
fof(f_17_1,plain,
! [X] :
( ( cC110(X)
| ? [Y] : ra_Px37(X,Y) )
& ( ! [Y] : ~ ra_Px37(X,Y)
| ~ cC110(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_16]) ).
fof(f_17_2,plain,
! [U_70] :
( ( cC110(U_70)
| ? [U_69] : ra_Px37(U_70,U_69) )
& ( ! [U_68] : ~ ra_Px37(U_70,U_68)
| ~ cC110(U_70) ) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_72] :
( cC110(U_72)
| ? [U_69] : ra_Px37(U_72,U_69) )
& ! [U_71] :
( ! [U_68] : ~ ra_Px37(U_71,U_68)
| ~ cC110(U_71) ) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
fof(f_17_4,plain,
( ! [U_72] :
( cC110(U_72)
| ra_Px37(U_72,sK11(U_72)) )
& ! [U_71] :
( ! [U_68] : ~ ra_Px37(U_71,U_68)
| ~ cC110(U_71) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_69,sK11(U_72))],[f_17_3]) ).
cnf(f_17_5,plain,
( ~ ra_Px37(U_71,U_68)
| ~ cC110(U_71) ),
inference(clausify,[status(thm)],[f_17_4]) ).
cnf(f_17_6,plain,
( cC110(U_72)
| ra_Px37(U_72,sK11(U_72)) ),
inference(clausify,[status(thm)],[f_17_4]) ).
fof(f_18_1,plain,
! [X] :
( ( cC110xcomp(X)
| ! [Y0] : ~ ra_Px37(X,Y0) )
& ( ? [Y0] : ra_Px37(X,Y0)
| ~ cC110xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
fof(f_18_2,plain,
! [U_75] :
( ( cC110xcomp(U_75)
| ! [U_74] : ~ ra_Px37(U_75,U_74) )
& ( ? [U_73] : ra_Px37(U_75,U_73)
| ~ cC110xcomp(U_75) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
( ! [U_77] :
( cC110xcomp(U_77)
| ! [U_74] : ~ ra_Px37(U_77,U_74) )
& ! [U_76] :
( ? [U_73] : ra_Px37(U_76,U_73)
| ~ cC110xcomp(U_76) ) ),
inference(miniscope,[status(thm)],[f_18_2]) ).
fof(f_18_4,plain,
( ! [U_77] :
( cC110xcomp(U_77)
| ! [U_74] : ~ ra_Px37(U_77,U_74) )
& ! [U_76] :
( ra_Px37(U_76,sK12(U_76))
| ~ cC110xcomp(U_76) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_73,sK12(U_76))],[f_18_3]) ).
cnf(f_18_5,plain,
( ra_Px37(U_76,sK12(U_76))
| ~ cC110xcomp(U_76) ),
inference(clausify,[status(thm)],[f_18_4]) ).
cnf(f_18_6,plain,
( cC110xcomp(U_77)
| ~ ra_Px37(U_77,U_74) ),
inference(clausify,[status(thm)],[f_18_4]) ).
fof(f_19_1,plain,
! [X] :
( ( cC112(X)
| ~ cC110xcomp(X)
| ~ cC4(X) )
& ( ( cC110xcomp(X)
& cC4(X) )
| ~ cC112(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_18]) ).
fof(f_19_2,plain,
! [U_78] :
( ( cC112(U_78)
| ~ cC110xcomp(U_78)
| ~ cC4(U_78) )
& ( ( cC110xcomp(U_78)
& cC4(U_78) )
| ~ cC112(U_78) ) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
( ! [U_80] :
( cC112(U_80)
| ~ cC110xcomp(U_80)
| ~ cC4(U_80) )
& ! [U_79] :
( ( cC110xcomp(U_79)
& cC4(U_79) )
| ~ cC112(U_79) ) ),
inference(miniscope,[status(thm)],[f_19_2]) ).
cnf(f_19_4,plain,
( cC4(U_79)
| ~ cC112(U_79) ),
inference(clausify,[status(thm)],[f_19_3]) ).
cnf(f_19_5,plain,
( cC110xcomp(U_79)
| ~ cC112(U_79) ),
inference(clausify,[status(thm)],[f_19_3]) ).
cnf(f_19_6,plain,
( cC112(U_80)
| ~ cC110xcomp(U_80)
| ~ cC4(U_80) ),
inference(clausify,[status(thm)],[f_19_3]) ).
fof(f_20_1,plain,
! [X] :
( ( cC112(X)
| ! [Y0] : ~ ra_Px39(X,Y0) )
& ( ? [Y0] : ra_Px39(X,Y0)
| ~ cC112(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_19]) ).
fof(f_20_2,plain,
! [U_83] :
( ( cC112(U_83)
| ! [U_82] : ~ ra_Px39(U_83,U_82) )
& ( ? [U_81] : ra_Px39(U_83,U_81)
| ~ cC112(U_83) ) ),
inference(variable_rename,[status(thm)],[f_20_1]) ).
fof(f_20_3,plain,
( ! [U_85] :
( cC112(U_85)
| ! [U_82] : ~ ra_Px39(U_85,U_82) )
& ! [U_84] :
( ? [U_81] : ra_Px39(U_84,U_81)
| ~ cC112(U_84) ) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
fof(f_20_4,plain,
( ! [U_85] :
( cC112(U_85)
| ! [U_82] : ~ ra_Px39(U_85,U_82) )
& ! [U_84] :
( ra_Px39(U_84,sK13(U_84))
| ~ cC112(U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_81,sK13(U_84))],[f_20_3]) ).
cnf(f_20_5,plain,
( ra_Px39(U_84,sK13(U_84))
| ~ cC112(U_84) ),
inference(clausify,[status(thm)],[f_20_4]) ).
cnf(f_20_6,plain,
( cC112(U_85)
| ~ ra_Px39(U_85,U_82) ),
inference(clausify,[status(thm)],[f_20_4]) ).
fof(f_21_1,plain,
! [X] :
( ( cC112xcomp(X)
| ? [Y] : ra_Px39(X,Y) )
& ( ! [Y] : ~ ra_Px39(X,Y)
| ~ cC112xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_20]) ).
fof(f_21_2,plain,
! [U_88] :
( ( cC112xcomp(U_88)
| ? [U_87] : ra_Px39(U_88,U_87) )
& ( ! [U_86] : ~ ra_Px39(U_88,U_86)
| ~ cC112xcomp(U_88) ) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
( ! [U_90] :
( cC112xcomp(U_90)
| ? [U_87] : ra_Px39(U_90,U_87) )
& ! [U_89] :
( ! [U_86] : ~ ra_Px39(U_89,U_86)
| ~ cC112xcomp(U_89) ) ),
inference(miniscope,[status(thm)],[f_21_2]) ).
fof(f_21_4,plain,
( ! [U_90] :
( cC112xcomp(U_90)
| ra_Px39(U_90,sK14(U_90)) )
& ! [U_89] :
( ! [U_86] : ~ ra_Px39(U_89,U_86)
| ~ cC112xcomp(U_89) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_87,sK14(U_90))],[f_21_3]) ).
cnf(f_21_5,plain,
( ~ ra_Px39(U_89,U_86)
| ~ cC112xcomp(U_89) ),
inference(clausify,[status(thm)],[f_21_4]) ).
cnf(f_21_6,plain,
( cC112xcomp(U_90)
| ra_Px39(U_90,sK14(U_90)) ),
inference(clausify,[status(thm)],[f_21_4]) ).
fof(f_22_1,plain,
! [X] :
( ( cC114(X)
| ~ cC96xcomp(X)
| ~ cC112xcomp(X) )
& ( ( cC96xcomp(X)
& cC112xcomp(X) )
| ~ cC114(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_21]) ).
fof(f_22_2,plain,
! [U_91] :
( ( cC114(U_91)
| ~ cC96xcomp(U_91)
| ~ cC112xcomp(U_91) )
& ( ( cC96xcomp(U_91)
& cC112xcomp(U_91) )
| ~ cC114(U_91) ) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
( ! [U_93] :
( cC114(U_93)
| ~ cC96xcomp(U_93)
| ~ cC112xcomp(U_93) )
& ! [U_92] :
( ( cC96xcomp(U_92)
& cC112xcomp(U_92) )
| ~ cC114(U_92) ) ),
inference(miniscope,[status(thm)],[f_22_2]) ).
cnf(f_22_4,plain,
( cC112xcomp(U_92)
| ~ cC114(U_92) ),
inference(clausify,[status(thm)],[f_22_3]) ).
cnf(f_22_5,plain,
( cC96xcomp(U_92)
| ~ cC114(U_92) ),
inference(clausify,[status(thm)],[f_22_3]) ).
cnf(f_22_6,plain,
( cC114(U_93)
| ~ cC96xcomp(U_93)
| ~ cC112xcomp(U_93) ),
inference(clausify,[status(thm)],[f_22_3]) ).
fof(f_23_1,plain,
! [X] :
( ( cC116(X)
| ~ cC80(X)
| ~ cC114(X) )
& ( ( cC80(X)
& cC114(X) )
| ~ cC116(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_22]) ).
fof(f_23_2,plain,
! [U_94] :
( ( cC116(U_94)
| ~ cC80(U_94)
| ~ cC114(U_94) )
& ( ( cC80(U_94)
& cC114(U_94) )
| ~ cC116(U_94) ) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
( ! [U_96] :
( cC116(U_96)
| ~ cC80(U_96)
| ~ cC114(U_96) )
& ! [U_95] :
( ( cC80(U_95)
& cC114(U_95) )
| ~ cC116(U_95) ) ),
inference(miniscope,[status(thm)],[f_23_2]) ).
cnf(f_23_4,plain,
( cC114(U_95)
| ~ cC116(U_95) ),
inference(clausify,[status(thm)],[f_23_3]) ).
cnf(f_23_5,plain,
( cC80(U_95)
| ~ cC116(U_95) ),
inference(clausify,[status(thm)],[f_23_3]) ).
cnf(f_23_6,plain,
( cC116(U_96)
| ~ cC80(U_96)
| ~ cC114(U_96) ),
inference(clausify,[status(thm)],[f_23_3]) ).
fof(f_24_1,plain,
! [X] :
( ( cC118(X)
| ~ cC10xcomp(X)
| ~ cC4(X) )
& ( ( cC10xcomp(X)
& cC4(X) )
| ~ cC118(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_23]) ).
fof(f_24_2,plain,
! [U_97] :
( ( cC118(U_97)
| ~ cC10xcomp(U_97)
| ~ cC4(U_97) )
& ( ( cC10xcomp(U_97)
& cC4(U_97) )
| ~ cC118(U_97) ) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
( ! [U_99] :
( cC118(U_99)
| ~ cC10xcomp(U_99)
| ~ cC4(U_99) )
& ! [U_98] :
( ( cC10xcomp(U_98)
& cC4(U_98) )
| ~ cC118(U_98) ) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
cnf(f_24_4,plain,
( cC4(U_98)
| ~ cC118(U_98) ),
inference(clausify,[status(thm)],[f_24_3]) ).
cnf(f_24_5,plain,
( cC10xcomp(U_98)
| ~ cC118(U_98) ),
inference(clausify,[status(thm)],[f_24_3]) ).
cnf(f_24_6,plain,
( cC118(U_99)
| ~ cC10xcomp(U_99)
| ~ cC4(U_99) ),
inference(clausify,[status(thm)],[f_24_3]) ).
fof(f_25_1,plain,
! [X] :
( ( cC12(X)
| ~ cC4xcomp(X)
| ~ cC10(X) )
& ( ( cC4xcomp(X)
& cC10(X) )
| ~ cC12(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_24]) ).
fof(f_25_2,plain,
! [U_100] :
( ( cC12(U_100)
| ~ cC4xcomp(U_100)
| ~ cC10(U_100) )
& ( ( cC4xcomp(U_100)
& cC10(U_100) )
| ~ cC12(U_100) ) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
( ! [U_102] :
( cC12(U_102)
| ~ cC4xcomp(U_102)
| ~ cC10(U_102) )
& ! [U_101] :
( ( cC4xcomp(U_101)
& cC10(U_101) )
| ~ cC12(U_101) ) ),
inference(miniscope,[status(thm)],[f_25_2]) ).
cnf(f_25_4,plain,
( cC10(U_101)
| ~ cC12(U_101) ),
inference(clausify,[status(thm)],[f_25_3]) ).
cnf(f_25_5,plain,
( cC4xcomp(U_101)
| ~ cC12(U_101) ),
inference(clausify,[status(thm)],[f_25_3]) ).
cnf(f_25_6,plain,
( cC12(U_102)
| ~ cC4xcomp(U_102)
| ~ cC10(U_102) ),
inference(clausify,[status(thm)],[f_25_3]) ).
fof(f_26_1,plain,
! [X] :
( ( cC12(X)
| ! [Y0] : ~ ra_Px3(X,Y0) )
& ( ? [Y0] : ra_Px3(X,Y0)
| ~ cC12(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_25]) ).
fof(f_26_2,plain,
! [U_105] :
( ( cC12(U_105)
| ! [U_104] : ~ ra_Px3(U_105,U_104) )
& ( ? [U_103] : ra_Px3(U_105,U_103)
| ~ cC12(U_105) ) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( ! [U_107] :
( cC12(U_107)
| ! [U_104] : ~ ra_Px3(U_107,U_104) )
& ! [U_106] :
( ? [U_103] : ra_Px3(U_106,U_103)
| ~ cC12(U_106) ) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
fof(f_26_4,plain,
( ! [U_107] :
( cC12(U_107)
| ! [U_104] : ~ ra_Px3(U_107,U_104) )
& ! [U_106] :
( ra_Px3(U_106,sK15(U_106))
| ~ cC12(U_106) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_103,sK15(U_106))],[f_26_3]) ).
cnf(f_26_5,plain,
( ra_Px3(U_106,sK15(U_106))
| ~ cC12(U_106) ),
inference(clausify,[status(thm)],[f_26_4]) ).
cnf(f_26_6,plain,
( cC12(U_107)
| ~ ra_Px3(U_107,U_104) ),
inference(clausify,[status(thm)],[f_26_4]) ).
fof(f_27_1,plain,
! [X] :
( ( cC12xcomp(X)
| ? [Y] : ra_Px3(X,Y) )
& ( ! [Y] : ~ ra_Px3(X,Y)
| ~ cC12xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_26]) ).
fof(f_27_2,plain,
! [U_110] :
( ( cC12xcomp(U_110)
| ? [U_109] : ra_Px3(U_110,U_109) )
& ( ! [U_108] : ~ ra_Px3(U_110,U_108)
| ~ cC12xcomp(U_110) ) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
( ! [U_112] :
( cC12xcomp(U_112)
| ? [U_109] : ra_Px3(U_112,U_109) )
& ! [U_111] :
( ! [U_108] : ~ ra_Px3(U_111,U_108)
| ~ cC12xcomp(U_111) ) ),
inference(miniscope,[status(thm)],[f_27_2]) ).
fof(f_27_4,plain,
( ! [U_112] :
( cC12xcomp(U_112)
| ra_Px3(U_112,sK16(U_112)) )
& ! [U_111] :
( ! [U_108] : ~ ra_Px3(U_111,U_108)
| ~ cC12xcomp(U_111) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_109,sK16(U_112))],[f_27_3]) ).
cnf(f_27_5,plain,
( ~ ra_Px3(U_111,U_108)
| ~ cC12xcomp(U_111) ),
inference(clausify,[status(thm)],[f_27_4]) ).
cnf(f_27_6,plain,
( cC12xcomp(U_112)
| ra_Px3(U_112,sK16(U_112)) ),
inference(clausify,[status(thm)],[f_27_4]) ).
fof(f_28_1,plain,
! [X] :
( ( cC120(X)
| ~ cC34(X)
| ~ cC118(X) )
& ( ( cC34(X)
& cC118(X) )
| ~ cC120(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_27]) ).
fof(f_28_2,plain,
! [U_113] :
( ( cC120(U_113)
| ~ cC34(U_113)
| ~ cC118(U_113) )
& ( ( cC34(U_113)
& cC118(U_113) )
| ~ cC120(U_113) ) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
( ! [U_115] :
( cC120(U_115)
| ~ cC34(U_115)
| ~ cC118(U_115) )
& ! [U_114] :
( ( cC34(U_114)
& cC118(U_114) )
| ~ cC120(U_114) ) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
cnf(f_28_4,plain,
( cC118(U_114)
| ~ cC120(U_114) ),
inference(clausify,[status(thm)],[f_28_3]) ).
cnf(f_28_5,plain,
( cC34(U_114)
| ~ cC120(U_114) ),
inference(clausify,[status(thm)],[f_28_3]) ).
cnf(f_28_6,plain,
( cC120(U_115)
| ~ cC34(U_115)
| ~ cC118(U_115) ),
inference(clausify,[status(thm)],[f_28_3]) ).
fof(f_29_1,plain,
! [X] :
( ( cC122(X)
| ! [Y] :
( ~ cC120(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC120(Y)
& rR1(X,Y) )
| ~ cC122(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_28]) ).
fof(f_29_2,plain,
! [U_118] :
( ( cC122(U_118)
| ! [U_117] :
( ~ cC120(U_117)
| ~ rR1(U_118,U_117) ) )
& ( ? [U_116] :
( cC120(U_116)
& rR1(U_118,U_116) )
| ~ cC122(U_118) ) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_120] :
( cC122(U_120)
| ! [U_117] :
( ~ cC120(U_117)
| ~ rR1(U_120,U_117) ) )
& ! [U_119] :
( ? [U_116] :
( cC120(U_116)
& rR1(U_119,U_116) )
| ~ cC122(U_119) ) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
( ! [U_120] :
( cC122(U_120)
| ! [U_117] :
( ~ cC120(U_117)
| ~ rR1(U_120,U_117) ) )
& ! [U_119] :
( ( cC120(sK17(U_119))
& rR1(U_119,sK17(U_119)) )
| ~ cC122(U_119) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_116,sK17(U_119))],[f_29_3]) ).
cnf(f_29_5,plain,
( rR1(U_119,sK17(U_119))
| ~ cC122(U_119) ),
inference(clausify,[status(thm)],[f_29_4]) ).
cnf(f_29_6,plain,
( cC120(sK17(U_119))
| ~ cC122(U_119) ),
inference(clausify,[status(thm)],[f_29_4]) ).
cnf(f_29_7,plain,
( cC122(U_120)
| ~ cC120(U_117)
| ~ rR1(U_120,U_117) ),
inference(clausify,[status(thm)],[f_29_4]) ).
fof(f_30_1,plain,
! [X] :
( ( cC124(X)
| ~ cC10xcomp(X)
| ~ cC4(X) )
& ( ( cC10xcomp(X)
& cC4(X) )
| ~ cC124(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_29]) ).
fof(f_30_2,plain,
! [U_121] :
( ( cC124(U_121)
| ~ cC10xcomp(U_121)
| ~ cC4(U_121) )
& ( ( cC10xcomp(U_121)
& cC4(U_121) )
| ~ cC124(U_121) ) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_123] :
( cC124(U_123)
| ~ cC10xcomp(U_123)
| ~ cC4(U_123) )
& ! [U_122] :
( ( cC10xcomp(U_122)
& cC4(U_122) )
| ~ cC124(U_122) ) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
cnf(f_30_4,plain,
( cC4(U_122)
| ~ cC124(U_122) ),
inference(clausify,[status(thm)],[f_30_3]) ).
cnf(f_30_5,plain,
( cC10xcomp(U_122)
| ~ cC124(U_122) ),
inference(clausify,[status(thm)],[f_30_3]) ).
cnf(f_30_6,plain,
( cC124(U_123)
| ~ cC10xcomp(U_123)
| ~ cC4(U_123) ),
inference(clausify,[status(thm)],[f_30_3]) ).
fof(f_31_1,plain,
! [X] :
( ( cC126(X)
| ~ cC124(X)
| ~ cC34xcomp(X) )
& ( ( cC124(X)
& cC34xcomp(X) )
| ~ cC126(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_30]) ).
fof(f_31_2,plain,
! [U_124] :
( ( cC126(U_124)
| ~ cC124(U_124)
| ~ cC34xcomp(U_124) )
& ( ( cC124(U_124)
& cC34xcomp(U_124) )
| ~ cC126(U_124) ) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
( ! [U_126] :
( cC126(U_126)
| ~ cC124(U_126)
| ~ cC34xcomp(U_126) )
& ! [U_125] :
( ( cC124(U_125)
& cC34xcomp(U_125) )
| ~ cC126(U_125) ) ),
inference(miniscope,[status(thm)],[f_31_2]) ).
cnf(f_31_4,plain,
( cC34xcomp(U_125)
| ~ cC126(U_125) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_5,plain,
( cC124(U_125)
| ~ cC126(U_125) ),
inference(clausify,[status(thm)],[f_31_3]) ).
cnf(f_31_6,plain,
( cC126(U_126)
| ~ cC124(U_126)
| ~ cC34xcomp(U_126) ),
inference(clausify,[status(thm)],[f_31_3]) ).
fof(f_32_1,plain,
! [X] :
( ( cC128(X)
| ! [Y] :
( ~ cC126(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC126(Y)
& rR1(X,Y) )
| ~ cC128(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_31]) ).
fof(f_32_2,plain,
! [U_129] :
( ( cC128(U_129)
| ! [U_128] :
( ~ cC126(U_128)
| ~ rR1(U_129,U_128) ) )
& ( ? [U_127] :
( cC126(U_127)
& rR1(U_129,U_127) )
| ~ cC128(U_129) ) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
( ! [U_131] :
( cC128(U_131)
| ! [U_128] :
( ~ cC126(U_128)
| ~ rR1(U_131,U_128) ) )
& ! [U_130] :
( ? [U_127] :
( cC126(U_127)
& rR1(U_130,U_127) )
| ~ cC128(U_130) ) ),
inference(miniscope,[status(thm)],[f_32_2]) ).
fof(f_32_4,plain,
( ! [U_131] :
( cC128(U_131)
| ! [U_128] :
( ~ cC126(U_128)
| ~ rR1(U_131,U_128) ) )
& ! [U_130] :
( ( cC126(sK18(U_130))
& rR1(U_130,sK18(U_130)) )
| ~ cC128(U_130) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_127,sK18(U_130))],[f_32_3]) ).
cnf(f_32_5,plain,
( rR1(U_130,sK18(U_130))
| ~ cC128(U_130) ),
inference(clausify,[status(thm)],[f_32_4]) ).
cnf(f_32_6,plain,
( cC126(sK18(U_130))
| ~ cC128(U_130) ),
inference(clausify,[status(thm)],[f_32_4]) ).
cnf(f_32_7,plain,
( cC128(U_131)
| ~ cC126(U_128)
| ~ rR1(U_131,U_128) ),
inference(clausify,[status(thm)],[f_32_4]) ).
fof(f_33_1,plain,
! [X] :
( ( cC130(X)
| ~ cC122(X)
| ~ cC128(X) )
& ( ( cC122(X)
& cC128(X) )
| ~ cC130(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_32]) ).
fof(f_33_2,plain,
! [U_132] :
( ( cC130(U_132)
| ~ cC122(U_132)
| ~ cC128(U_132) )
& ( ( cC122(U_132)
& cC128(U_132) )
| ~ cC130(U_132) ) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
( ! [U_134] :
( cC130(U_134)
| ~ cC122(U_134)
| ~ cC128(U_134) )
& ! [U_133] :
( ( cC122(U_133)
& cC128(U_133) )
| ~ cC130(U_133) ) ),
inference(miniscope,[status(thm)],[f_33_2]) ).
cnf(f_33_4,plain,
( cC128(U_133)
| ~ cC130(U_133) ),
inference(clausify,[status(thm)],[f_33_3]) ).
cnf(f_33_5,plain,
( cC122(U_133)
| ~ cC130(U_133) ),
inference(clausify,[status(thm)],[f_33_3]) ).
cnf(f_33_6,plain,
( cC130(U_134)
| ~ cC122(U_134)
| ~ cC128(U_134) ),
inference(clausify,[status(thm)],[f_33_3]) ).
fof(f_34_1,plain,
! [X] :
( ( cC130(X)
| ! [Y0] : ~ ra_Px44(X,Y0) )
& ( ? [Y0] : ra_Px44(X,Y0)
| ~ cC130(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_33]) ).
fof(f_34_2,plain,
! [U_137] :
( ( cC130(U_137)
| ! [U_136] : ~ ra_Px44(U_137,U_136) )
& ( ? [U_135] : ra_Px44(U_137,U_135)
| ~ cC130(U_137) ) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
( ! [U_139] :
( cC130(U_139)
| ! [U_136] : ~ ra_Px44(U_139,U_136) )
& ! [U_138] :
( ? [U_135] : ra_Px44(U_138,U_135)
| ~ cC130(U_138) ) ),
inference(miniscope,[status(thm)],[f_34_2]) ).
fof(f_34_4,plain,
( ! [U_139] :
( cC130(U_139)
| ! [U_136] : ~ ra_Px44(U_139,U_136) )
& ! [U_138] :
( ra_Px44(U_138,sK19(U_138))
| ~ cC130(U_138) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_135,sK19(U_138))],[f_34_3]) ).
cnf(f_34_5,plain,
( ra_Px44(U_138,sK19(U_138))
| ~ cC130(U_138) ),
inference(clausify,[status(thm)],[f_34_4]) ).
cnf(f_34_6,plain,
( cC130(U_139)
| ~ ra_Px44(U_139,U_136) ),
inference(clausify,[status(thm)],[f_34_4]) ).
fof(f_35_1,plain,
! [X] :
( ( cC130xcomp(X)
| ? [Y] : ra_Px44(X,Y) )
& ( ! [Y] : ~ ra_Px44(X,Y)
| ~ cC130xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_34]) ).
fof(f_35_2,plain,
! [U_142] :
( ( cC130xcomp(U_142)
| ? [U_141] : ra_Px44(U_142,U_141) )
& ( ! [U_140] : ~ ra_Px44(U_142,U_140)
| ~ cC130xcomp(U_142) ) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
( ! [U_144] :
( cC130xcomp(U_144)
| ? [U_141] : ra_Px44(U_144,U_141) )
& ! [U_143] :
( ! [U_140] : ~ ra_Px44(U_143,U_140)
| ~ cC130xcomp(U_143) ) ),
inference(miniscope,[status(thm)],[f_35_2]) ).
fof(f_35_4,plain,
( ! [U_144] :
( cC130xcomp(U_144)
| ra_Px44(U_144,sK20(U_144)) )
& ! [U_143] :
( ! [U_140] : ~ ra_Px44(U_143,U_140)
| ~ cC130xcomp(U_143) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_141,sK20(U_144))],[f_35_3]) ).
cnf(f_35_5,plain,
( ~ ra_Px44(U_143,U_140)
| ~ cC130xcomp(U_143) ),
inference(clausify,[status(thm)],[f_35_4]) ).
cnf(f_35_6,plain,
( cC130xcomp(U_144)
| ra_Px44(U_144,sK20(U_144)) ),
inference(clausify,[status(thm)],[f_35_4]) ).
fof(f_36_1,plain,
! [X] :
( ( cC132(X)
| ~ cC4xcomp(X)
| ~ cC2(X) )
& ( ( cC4xcomp(X)
& cC2(X) )
| ~ cC132(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_35]) ).
fof(f_36_2,plain,
! [U_145] :
( ( cC132(U_145)
| ~ cC4xcomp(U_145)
| ~ cC2(U_145) )
& ( ( cC4xcomp(U_145)
& cC2(U_145) )
| ~ cC132(U_145) ) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
( ! [U_147] :
( cC132(U_147)
| ~ cC4xcomp(U_147)
| ~ cC2(U_147) )
& ! [U_146] :
( ( cC4xcomp(U_146)
& cC2(U_146) )
| ~ cC132(U_146) ) ),
inference(miniscope,[status(thm)],[f_36_2]) ).
cnf(f_36_4,plain,
( cC2(U_146)
| ~ cC132(U_146) ),
inference(clausify,[status(thm)],[f_36_3]) ).
cnf(f_36_5,plain,
( cC4xcomp(U_146)
| ~ cC132(U_146) ),
inference(clausify,[status(thm)],[f_36_3]) ).
cnf(f_36_6,plain,
( cC132(U_147)
| ~ cC4xcomp(U_147)
| ~ cC2(U_147) ),
inference(clausify,[status(thm)],[f_36_3]) ).
fof(f_37_1,plain,
! [X] :
( ( cC132(X)
| ! [Y0] : ~ ra_Px48(X,Y0) )
& ( ? [Y0] : ra_Px48(X,Y0)
| ~ cC132(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_36]) ).
fof(f_37_2,plain,
! [U_150] :
( ( cC132(U_150)
| ! [U_149] : ~ ra_Px48(U_150,U_149) )
& ( ? [U_148] : ra_Px48(U_150,U_148)
| ~ cC132(U_150) ) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
( ! [U_152] :
( cC132(U_152)
| ! [U_149] : ~ ra_Px48(U_152,U_149) )
& ! [U_151] :
( ? [U_148] : ra_Px48(U_151,U_148)
| ~ cC132(U_151) ) ),
inference(miniscope,[status(thm)],[f_37_2]) ).
fof(f_37_4,plain,
( ! [U_152] :
( cC132(U_152)
| ! [U_149] : ~ ra_Px48(U_152,U_149) )
& ! [U_151] :
( ra_Px48(U_151,sK21(U_151))
| ~ cC132(U_151) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_148,sK21(U_151))],[f_37_3]) ).
cnf(f_37_5,plain,
( ra_Px48(U_151,sK21(U_151))
| ~ cC132(U_151) ),
inference(clausify,[status(thm)],[f_37_4]) ).
cnf(f_37_6,plain,
( cC132(U_152)
| ~ ra_Px48(U_152,U_149) ),
inference(clausify,[status(thm)],[f_37_4]) ).
fof(f_38_1,plain,
! [X] :
( ( cC132xcomp(X)
| ? [Y] : ra_Px48(X,Y) )
& ( ! [Y] : ~ ra_Px48(X,Y)
| ~ cC132xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_37]) ).
fof(f_38_2,plain,
! [U_155] :
( ( cC132xcomp(U_155)
| ? [U_154] : ra_Px48(U_155,U_154) )
& ( ! [U_153] : ~ ra_Px48(U_155,U_153)
| ~ cC132xcomp(U_155) ) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
( ! [U_157] :
( cC132xcomp(U_157)
| ? [U_154] : ra_Px48(U_157,U_154) )
& ! [U_156] :
( ! [U_153] : ~ ra_Px48(U_156,U_153)
| ~ cC132xcomp(U_156) ) ),
inference(miniscope,[status(thm)],[f_38_2]) ).
fof(f_38_4,plain,
( ! [U_157] :
( cC132xcomp(U_157)
| ra_Px48(U_157,sK22(U_157)) )
& ! [U_156] :
( ! [U_153] : ~ ra_Px48(U_156,U_153)
| ~ cC132xcomp(U_156) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_154,sK22(U_157))],[f_38_3]) ).
cnf(f_38_5,plain,
( ~ ra_Px48(U_156,U_153)
| ~ cC132xcomp(U_156) ),
inference(clausify,[status(thm)],[f_38_4]) ).
cnf(f_38_6,plain,
( cC132xcomp(U_157)
| ra_Px48(U_157,sK22(U_157)) ),
inference(clausify,[status(thm)],[f_38_4]) ).
fof(f_39_1,plain,
! [X] :
( ( cC134(X)
| ~ cC132(X)
| ~ cC130xcomp(X) )
& ( ( cC132(X)
& cC130xcomp(X) )
| ~ cC134(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_38]) ).
fof(f_39_2,plain,
! [U_158] :
( ( cC134(U_158)
| ~ cC132(U_158)
| ~ cC130xcomp(U_158) )
& ( ( cC132(U_158)
& cC130xcomp(U_158) )
| ~ cC134(U_158) ) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
( ! [U_160] :
( cC134(U_160)
| ~ cC132(U_160)
| ~ cC130xcomp(U_160) )
& ! [U_159] :
( ( cC132(U_159)
& cC130xcomp(U_159) )
| ~ cC134(U_159) ) ),
inference(miniscope,[status(thm)],[f_39_2]) ).
cnf(f_39_4,plain,
( cC130xcomp(U_159)
| ~ cC134(U_159) ),
inference(clausify,[status(thm)],[f_39_3]) ).
cnf(f_39_5,plain,
( cC132(U_159)
| ~ cC134(U_159) ),
inference(clausify,[status(thm)],[f_39_3]) ).
cnf(f_39_6,plain,
( cC134(U_160)
| ~ cC132(U_160)
| ~ cC130xcomp(U_160) ),
inference(clausify,[status(thm)],[f_39_3]) ).
fof(f_40_1,plain,
! [X] :
( ( cC134(X)
| ! [Y0] : ~ ra_Px45(X,Y0) )
& ( ? [Y0] : ra_Px45(X,Y0)
| ~ cC134(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_39]) ).
fof(f_40_2,plain,
! [U_163] :
( ( cC134(U_163)
| ! [U_162] : ~ ra_Px45(U_163,U_162) )
& ( ? [U_161] : ra_Px45(U_163,U_161)
| ~ cC134(U_163) ) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
( ! [U_165] :
( cC134(U_165)
| ! [U_162] : ~ ra_Px45(U_165,U_162) )
& ! [U_164] :
( ? [U_161] : ra_Px45(U_164,U_161)
| ~ cC134(U_164) ) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
fof(f_40_4,plain,
( ! [U_165] :
( cC134(U_165)
| ! [U_162] : ~ ra_Px45(U_165,U_162) )
& ! [U_164] :
( ra_Px45(U_164,sK23(U_164))
| ~ cC134(U_164) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_161,sK23(U_164))],[f_40_3]) ).
cnf(f_40_5,plain,
( ra_Px45(U_164,sK23(U_164))
| ~ cC134(U_164) ),
inference(clausify,[status(thm)],[f_40_4]) ).
cnf(f_40_6,plain,
( cC134(U_165)
| ~ ra_Px45(U_165,U_162) ),
inference(clausify,[status(thm)],[f_40_4]) ).
fof(f_41_1,plain,
! [X] :
( ( cC134xcomp(X)
| ? [Y] : ra_Px45(X,Y) )
& ( ! [Y] : ~ ra_Px45(X,Y)
| ~ cC134xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_40]) ).
fof(f_41_2,plain,
! [U_168] :
( ( cC134xcomp(U_168)
| ? [U_167] : ra_Px45(U_168,U_167) )
& ( ! [U_166] : ~ ra_Px45(U_168,U_166)
| ~ cC134xcomp(U_168) ) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
( ! [U_170] :
( cC134xcomp(U_170)
| ? [U_167] : ra_Px45(U_170,U_167) )
& ! [U_169] :
( ! [U_166] : ~ ra_Px45(U_169,U_166)
| ~ cC134xcomp(U_169) ) ),
inference(miniscope,[status(thm)],[f_41_2]) ).
fof(f_41_4,plain,
( ! [U_170] :
( cC134xcomp(U_170)
| ra_Px45(U_170,sK24(U_170)) )
& ! [U_169] :
( ! [U_166] : ~ ra_Px45(U_169,U_166)
| ~ cC134xcomp(U_169) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_167,sK24(U_170))],[f_41_3]) ).
cnf(f_41_5,plain,
( ~ ra_Px45(U_169,U_166)
| ~ cC134xcomp(U_169) ),
inference(clausify,[status(thm)],[f_41_4]) ).
cnf(f_41_6,plain,
( cC134xcomp(U_170)
| ra_Px45(U_170,sK24(U_170)) ),
inference(clausify,[status(thm)],[f_41_4]) ).
fof(f_42_1,plain,
! [X] :
( ( cC136(X)
| ? [Y] : ra_Px46(X,Y) )
& ( ! [Y] : ~ ra_Px46(X,Y)
| ~ cC136(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_41]) ).
fof(f_42_2,plain,
! [U_173] :
( ( cC136(U_173)
| ? [U_172] : ra_Px46(U_173,U_172) )
& ( ! [U_171] : ~ ra_Px46(U_173,U_171)
| ~ cC136(U_173) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
( ! [U_175] :
( cC136(U_175)
| ? [U_172] : ra_Px46(U_175,U_172) )
& ! [U_174] :
( ! [U_171] : ~ ra_Px46(U_174,U_171)
| ~ cC136(U_174) ) ),
inference(miniscope,[status(thm)],[f_42_2]) ).
fof(f_42_4,plain,
( ! [U_175] :
( cC136(U_175)
| ra_Px46(U_175,sK25(U_175)) )
& ! [U_174] :
( ! [U_171] : ~ ra_Px46(U_174,U_171)
| ~ cC136(U_174) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_172,sK25(U_175))],[f_42_3]) ).
cnf(f_42_5,plain,
( ~ ra_Px46(U_174,U_171)
| ~ cC136(U_174) ),
inference(clausify,[status(thm)],[f_42_4]) ).
cnf(f_42_6,plain,
( cC136(U_175)
| ra_Px46(U_175,sK25(U_175)) ),
inference(clausify,[status(thm)],[f_42_4]) ).
fof(f_43_1,plain,
! [X] :
( ( cC136(X)
| ~ cC116(X)
| ~ cC134xcomp(X) )
& ( ( cC116(X)
& cC134xcomp(X) )
| ~ cC136(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_42]) ).
fof(f_43_2,plain,
! [U_176] :
( ( cC136(U_176)
| ~ cC116(U_176)
| ~ cC134xcomp(U_176) )
& ( ( cC116(U_176)
& cC134xcomp(U_176) )
| ~ cC136(U_176) ) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
( ! [U_178] :
( cC136(U_178)
| ~ cC116(U_178)
| ~ cC134xcomp(U_178) )
& ! [U_177] :
( ( cC116(U_177)
& cC134xcomp(U_177) )
| ~ cC136(U_177) ) ),
inference(miniscope,[status(thm)],[f_43_2]) ).
cnf(f_43_4,plain,
( cC134xcomp(U_177)
| ~ cC136(U_177) ),
inference(clausify,[status(thm)],[f_43_3]) ).
cnf(f_43_5,plain,
( cC116(U_177)
| ~ cC136(U_177) ),
inference(clausify,[status(thm)],[f_43_3]) ).
cnf(f_43_6,plain,
( cC136(U_178)
| ~ cC116(U_178)
| ~ cC134xcomp(U_178) ),
inference(clausify,[status(thm)],[f_43_3]) ).
fof(f_44_1,plain,
! [X] :
( ( cC136xcomp(X)
| ! [Y0] : ~ ra_Px46(X,Y0) )
& ( ? [Y0] : ra_Px46(X,Y0)
| ~ cC136xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_43]) ).
fof(f_44_2,plain,
! [U_181] :
( ( cC136xcomp(U_181)
| ! [U_180] : ~ ra_Px46(U_181,U_180) )
& ( ? [U_179] : ra_Px46(U_181,U_179)
| ~ cC136xcomp(U_181) ) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
( ! [U_183] :
( cC136xcomp(U_183)
| ! [U_180] : ~ ra_Px46(U_183,U_180) )
& ! [U_182] :
( ? [U_179] : ra_Px46(U_182,U_179)
| ~ cC136xcomp(U_182) ) ),
inference(miniscope,[status(thm)],[f_44_2]) ).
fof(f_44_4,plain,
( ! [U_183] :
( cC136xcomp(U_183)
| ! [U_180] : ~ ra_Px46(U_183,U_180) )
& ! [U_182] :
( ra_Px46(U_182,sK26(U_182))
| ~ cC136xcomp(U_182) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_179,sK26(U_182))],[f_44_3]) ).
cnf(f_44_5,plain,
( ra_Px46(U_182,sK26(U_182))
| ~ cC136xcomp(U_182) ),
inference(clausify,[status(thm)],[f_44_4]) ).
cnf(f_44_6,plain,
( cC136xcomp(U_183)
| ~ ra_Px46(U_183,U_180) ),
inference(clausify,[status(thm)],[f_44_4]) ).
fof(f_45_1,plain,
! [X] :
( ( cC138(X)
| ! [Y] :
( ~ cC136xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC136xcomp(Y)
& rR1(X,Y) )
| ~ cC138(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_44]) ).
fof(f_45_2,plain,
! [U_186] :
( ( cC138(U_186)
| ! [U_185] :
( ~ cC136xcomp(U_185)
| ~ rR1(U_186,U_185) ) )
& ( ? [U_184] :
( cC136xcomp(U_184)
& rR1(U_186,U_184) )
| ~ cC138(U_186) ) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
( ! [U_188] :
( cC138(U_188)
| ! [U_185] :
( ~ cC136xcomp(U_185)
| ~ rR1(U_188,U_185) ) )
& ! [U_187] :
( ? [U_184] :
( cC136xcomp(U_184)
& rR1(U_187,U_184) )
| ~ cC138(U_187) ) ),
inference(miniscope,[status(thm)],[f_45_2]) ).
fof(f_45_4,plain,
( ! [U_188] :
( cC138(U_188)
| ! [U_185] :
( ~ cC136xcomp(U_185)
| ~ rR1(U_188,U_185) ) )
& ! [U_187] :
( ( cC136xcomp(sK27(U_187))
& rR1(U_187,sK27(U_187)) )
| ~ cC138(U_187) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_184,sK27(U_187))],[f_45_3]) ).
cnf(f_45_5,plain,
( rR1(U_187,sK27(U_187))
| ~ cC138(U_187) ),
inference(clausify,[status(thm)],[f_45_4]) ).
cnf(f_45_6,plain,
( cC136xcomp(sK27(U_187))
| ~ cC138(U_187) ),
inference(clausify,[status(thm)],[f_45_4]) ).
cnf(f_45_7,plain,
( cC138(U_188)
| ~ cC136xcomp(U_185)
| ~ rR1(U_188,U_185) ),
inference(clausify,[status(thm)],[f_45_4]) ).
fof(f_46_1,plain,
! [X] :
( ( cC138(X)
| ! [Y0] : ~ ra_Px47(X,Y0) )
& ( ? [Y0] : ra_Px47(X,Y0)
| ~ cC138(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_45]) ).
fof(f_46_2,plain,
! [U_191] :
( ( cC138(U_191)
| ! [U_190] : ~ ra_Px47(U_191,U_190) )
& ( ? [U_189] : ra_Px47(U_191,U_189)
| ~ cC138(U_191) ) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
( ! [U_193] :
( cC138(U_193)
| ! [U_190] : ~ ra_Px47(U_193,U_190) )
& ! [U_192] :
( ? [U_189] : ra_Px47(U_192,U_189)
| ~ cC138(U_192) ) ),
inference(miniscope,[status(thm)],[f_46_2]) ).
fof(f_46_4,plain,
( ! [U_193] :
( cC138(U_193)
| ! [U_190] : ~ ra_Px47(U_193,U_190) )
& ! [U_192] :
( ra_Px47(U_192,sK28(U_192))
| ~ cC138(U_192) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_189,sK28(U_192))],[f_46_3]) ).
cnf(f_46_5,plain,
( ra_Px47(U_192,sK28(U_192))
| ~ cC138(U_192) ),
inference(clausify,[status(thm)],[f_46_4]) ).
cnf(f_46_6,plain,
( cC138(U_193)
| ~ ra_Px47(U_193,U_190) ),
inference(clausify,[status(thm)],[f_46_4]) ).
fof(f_47_1,plain,
! [X] :
( ( cC138xcomp(X)
| ? [Y] : ra_Px47(X,Y) )
& ( ! [Y] : ~ ra_Px47(X,Y)
| ~ cC138xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_46]) ).
fof(f_47_2,plain,
! [U_196] :
( ( cC138xcomp(U_196)
| ? [U_195] : ra_Px47(U_196,U_195) )
& ( ! [U_194] : ~ ra_Px47(U_196,U_194)
| ~ cC138xcomp(U_196) ) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
( ! [U_198] :
( cC138xcomp(U_198)
| ? [U_195] : ra_Px47(U_198,U_195) )
& ! [U_197] :
( ! [U_194] : ~ ra_Px47(U_197,U_194)
| ~ cC138xcomp(U_197) ) ),
inference(miniscope,[status(thm)],[f_47_2]) ).
fof(f_47_4,plain,
( ! [U_198] :
( cC138xcomp(U_198)
| ra_Px47(U_198,sK29(U_198)) )
& ! [U_197] :
( ! [U_194] : ~ ra_Px47(U_197,U_194)
| ~ cC138xcomp(U_197) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_195,sK29(U_198))],[f_47_3]) ).
cnf(f_47_5,plain,
( ~ ra_Px47(U_197,U_194)
| ~ cC138xcomp(U_197) ),
inference(clausify,[status(thm)],[f_47_4]) ).
cnf(f_47_6,plain,
( cC138xcomp(U_198)
| ra_Px47(U_198,sK29(U_198)) ),
inference(clausify,[status(thm)],[f_47_4]) ).
fof(f_48_1,plain,
! [X] :
( ( cC14(X)
| ~ cC8xcomp(X)
| ~ cC12xcomp(X) )
& ( ( cC8xcomp(X)
& cC12xcomp(X) )
| ~ cC14(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_47]) ).
fof(f_48_2,plain,
! [U_199] :
( ( cC14(U_199)
| ~ cC8xcomp(U_199)
| ~ cC12xcomp(U_199) )
& ( ( cC8xcomp(U_199)
& cC12xcomp(U_199) )
| ~ cC14(U_199) ) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
( ! [U_201] :
( cC14(U_201)
| ~ cC8xcomp(U_201)
| ~ cC12xcomp(U_201) )
& ! [U_200] :
( ( cC8xcomp(U_200)
& cC12xcomp(U_200) )
| ~ cC14(U_200) ) ),
inference(miniscope,[status(thm)],[f_48_2]) ).
cnf(f_48_4,plain,
( cC12xcomp(U_200)
| ~ cC14(U_200) ),
inference(clausify,[status(thm)],[f_48_3]) ).
cnf(f_48_5,plain,
( cC8xcomp(U_200)
| ~ cC14(U_200) ),
inference(clausify,[status(thm)],[f_48_3]) ).
cnf(f_48_6,plain,
( cC14(U_201)
| ~ cC8xcomp(U_201)
| ~ cC12xcomp(U_201) ),
inference(clausify,[status(thm)],[f_48_3]) ).
fof(f_49_1,plain,
! [X] :
( ( cC140(X)
| ~ cC138xcomp(X)
| ~ cC74(X) )
& ( ( cC138xcomp(X)
& cC74(X) )
| ~ cC140(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_48]) ).
fof(f_49_2,plain,
! [U_202] :
( ( cC140(U_202)
| ~ cC138xcomp(U_202)
| ~ cC74(U_202) )
& ( ( cC138xcomp(U_202)
& cC74(U_202) )
| ~ cC140(U_202) ) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
( ! [U_204] :
( cC140(U_204)
| ~ cC138xcomp(U_204)
| ~ cC74(U_204) )
& ! [U_203] :
( ( cC138xcomp(U_203)
& cC74(U_203) )
| ~ cC140(U_203) ) ),
inference(miniscope,[status(thm)],[f_49_2]) ).
cnf(f_49_4,plain,
( cC74(U_203)
| ~ cC140(U_203) ),
inference(clausify,[status(thm)],[f_49_3]) ).
cnf(f_49_5,plain,
( cC138xcomp(U_203)
| ~ cC140(U_203) ),
inference(clausify,[status(thm)],[f_49_3]) ).
cnf(f_49_6,plain,
( cC140(U_204)
| ~ cC138xcomp(U_204)
| ~ cC74(U_204) ),
inference(clausify,[status(thm)],[f_49_3]) ).
fof(f_50_1,plain,
! [X] :
( ( cC16(X)
| ? [Y] : ra_Px4(X,Y) )
& ( ! [Y] : ~ ra_Px4(X,Y)
| ~ cC16(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_49]) ).
fof(f_50_2,plain,
! [U_207] :
( ( cC16(U_207)
| ? [U_206] : ra_Px4(U_207,U_206) )
& ( ! [U_205] : ~ ra_Px4(U_207,U_205)
| ~ cC16(U_207) ) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
( ! [U_209] :
( cC16(U_209)
| ? [U_206] : ra_Px4(U_209,U_206) )
& ! [U_208] :
( ! [U_205] : ~ ra_Px4(U_208,U_205)
| ~ cC16(U_208) ) ),
inference(miniscope,[status(thm)],[f_50_2]) ).
fof(f_50_4,plain,
( ! [U_209] :
( cC16(U_209)
| ra_Px4(U_209,sK30(U_209)) )
& ! [U_208] :
( ! [U_205] : ~ ra_Px4(U_208,U_205)
| ~ cC16(U_208) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_206,sK30(U_209))],[f_50_3]) ).
cnf(f_50_5,plain,
( ~ ra_Px4(U_208,U_205)
| ~ cC16(U_208) ),
inference(clausify,[status(thm)],[f_50_4]) ).
cnf(f_50_6,plain,
( cC16(U_209)
| ra_Px4(U_209,sK30(U_209)) ),
inference(clausify,[status(thm)],[f_50_4]) ).
fof(f_51_1,plain,
! [X] :
( ( cC16xcomp(X)
| ! [Y0] : ~ ra_Px4(X,Y0) )
& ( ? [Y0] : ra_Px4(X,Y0)
| ~ cC16xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_50]) ).
fof(f_51_2,plain,
! [U_212] :
( ( cC16xcomp(U_212)
| ! [U_211] : ~ ra_Px4(U_212,U_211) )
& ( ? [U_210] : ra_Px4(U_212,U_210)
| ~ cC16xcomp(U_212) ) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
fof(f_51_3,plain,
( ! [U_214] :
( cC16xcomp(U_214)
| ! [U_211] : ~ ra_Px4(U_214,U_211) )
& ! [U_213] :
( ? [U_210] : ra_Px4(U_213,U_210)
| ~ cC16xcomp(U_213) ) ),
inference(miniscope,[status(thm)],[f_51_2]) ).
fof(f_51_4,plain,
( ! [U_214] :
( cC16xcomp(U_214)
| ! [U_211] : ~ ra_Px4(U_214,U_211) )
& ! [U_213] :
( ra_Px4(U_213,sK31(U_213))
| ~ cC16xcomp(U_213) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_210,sK31(U_213))],[f_51_3]) ).
cnf(f_51_5,plain,
( ra_Px4(U_213,sK31(U_213))
| ~ cC16xcomp(U_213) ),
inference(clausify,[status(thm)],[f_51_4]) ).
cnf(f_51_6,plain,
( cC16xcomp(U_214)
| ~ ra_Px4(U_214,U_211) ),
inference(clausify,[status(thm)],[f_51_4]) ).
fof(f_52_1,plain,
! [X] :
( ( cC18(X)
| ~ cC16xcomp(X)
| ~ cC2(X) )
& ( ( cC16xcomp(X)
& cC2(X) )
| ~ cC18(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_51]) ).
fof(f_52_2,plain,
! [U_215] :
( ( cC18(U_215)
| ~ cC16xcomp(U_215)
| ~ cC2(U_215) )
& ( ( cC16xcomp(U_215)
& cC2(U_215) )
| ~ cC18(U_215) ) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
fof(f_52_3,plain,
( ! [U_217] :
( cC18(U_217)
| ~ cC16xcomp(U_217)
| ~ cC2(U_217) )
& ! [U_216] :
( ( cC16xcomp(U_216)
& cC2(U_216) )
| ~ cC18(U_216) ) ),
inference(miniscope,[status(thm)],[f_52_2]) ).
cnf(f_52_4,plain,
( cC2(U_216)
| ~ cC18(U_216) ),
inference(clausify,[status(thm)],[f_52_3]) ).
cnf(f_52_5,plain,
( cC16xcomp(U_216)
| ~ cC18(U_216) ),
inference(clausify,[status(thm)],[f_52_3]) ).
cnf(f_52_6,plain,
( cC18(U_217)
| ~ cC16xcomp(U_217)
| ~ cC2(U_217) ),
inference(clausify,[status(thm)],[f_52_3]) ).
fof(f_53_1,plain,
! [X] :
( ( cC18(X)
| ! [Y0] : ~ ra_Px56(X,Y0) )
& ( ? [Y0] : ra_Px56(X,Y0)
| ~ cC18(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_52]) ).
fof(f_53_2,plain,
! [U_220] :
( ( cC18(U_220)
| ! [U_219] : ~ ra_Px56(U_220,U_219) )
& ( ? [U_218] : ra_Px56(U_220,U_218)
| ~ cC18(U_220) ) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
fof(f_53_3,plain,
( ! [U_222] :
( cC18(U_222)
| ! [U_219] : ~ ra_Px56(U_222,U_219) )
& ! [U_221] :
( ? [U_218] : ra_Px56(U_221,U_218)
| ~ cC18(U_221) ) ),
inference(miniscope,[status(thm)],[f_53_2]) ).
fof(f_53_4,plain,
( ! [U_222] :
( cC18(U_222)
| ! [U_219] : ~ ra_Px56(U_222,U_219) )
& ! [U_221] :
( ra_Px56(U_221,sK32(U_221))
| ~ cC18(U_221) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_218,sK32(U_221))],[f_53_3]) ).
cnf(f_53_5,plain,
( ra_Px56(U_221,sK32(U_221))
| ~ cC18(U_221) ),
inference(clausify,[status(thm)],[f_53_4]) ).
cnf(f_53_6,plain,
( cC18(U_222)
| ~ ra_Px56(U_222,U_219) ),
inference(clausify,[status(thm)],[f_53_4]) ).
fof(f_54_1,plain,
! [X] :
( ( cC18xcomp(X)
| ? [Y] : ra_Px56(X,Y) )
& ( ! [Y] : ~ ra_Px56(X,Y)
| ~ cC18xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_53]) ).
fof(f_54_2,plain,
! [U_225] :
( ( cC18xcomp(U_225)
| ? [U_224] : ra_Px56(U_225,U_224) )
& ( ! [U_223] : ~ ra_Px56(U_225,U_223)
| ~ cC18xcomp(U_225) ) ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
fof(f_54_3,plain,
( ! [U_227] :
( cC18xcomp(U_227)
| ? [U_224] : ra_Px56(U_227,U_224) )
& ! [U_226] :
( ! [U_223] : ~ ra_Px56(U_226,U_223)
| ~ cC18xcomp(U_226) ) ),
inference(miniscope,[status(thm)],[f_54_2]) ).
fof(f_54_4,plain,
( ! [U_227] :
( cC18xcomp(U_227)
| ra_Px56(U_227,sK33(U_227)) )
& ! [U_226] :
( ! [U_223] : ~ ra_Px56(U_226,U_223)
| ~ cC18xcomp(U_226) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_224,sK33(U_227))],[f_54_3]) ).
cnf(f_54_5,plain,
( ~ ra_Px56(U_226,U_223)
| ~ cC18xcomp(U_226) ),
inference(clausify,[status(thm)],[f_54_4]) ).
cnf(f_54_6,plain,
( cC18xcomp(U_227)
| ra_Px56(U_227,sK33(U_227)) ),
inference(clausify,[status(thm)],[f_54_4]) ).
fof(f_55_1,plain,
! [X] :
( ( cC2(X)
| ? [Y] : ra_Px22(X,Y) )
& ( ! [Y] : ~ ra_Px22(X,Y)
| ~ cC2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_54]) ).
fof(f_55_2,plain,
! [U_230] :
( ( cC2(U_230)
| ? [U_229] : ra_Px22(U_230,U_229) )
& ( ! [U_228] : ~ ra_Px22(U_230,U_228)
| ~ cC2(U_230) ) ),
inference(variable_rename,[status(thm)],[f_55_1]) ).
fof(f_55_3,plain,
( ! [U_232] :
( cC2(U_232)
| ? [U_229] : ra_Px22(U_232,U_229) )
& ! [U_231] :
( ! [U_228] : ~ ra_Px22(U_231,U_228)
| ~ cC2(U_231) ) ),
inference(miniscope,[status(thm)],[f_55_2]) ).
fof(f_55_4,plain,
( ! [U_232] :
( cC2(U_232)
| ra_Px22(U_232,sK34(U_232)) )
& ! [U_231] :
( ! [U_228] : ~ ra_Px22(U_231,U_228)
| ~ cC2(U_231) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_229,sK34(U_232))],[f_55_3]) ).
cnf(f_55_5,plain,
( ~ ra_Px22(U_231,U_228)
| ~ cC2(U_231) ),
inference(clausify,[status(thm)],[f_55_4]) ).
cnf(f_55_6,plain,
( cC2(U_232)
| ra_Px22(U_232,sK34(U_232)) ),
inference(clausify,[status(thm)],[f_55_4]) ).
fof(f_56_1,plain,
! [X] :
( ( cC2xcomp(X)
| ! [Y0] : ~ ra_Px22(X,Y0) )
& ( ? [Y0] : ra_Px22(X,Y0)
| ~ cC2xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_55]) ).
fof(f_56_2,plain,
! [U_235] :
( ( cC2xcomp(U_235)
| ! [U_234] : ~ ra_Px22(U_235,U_234) )
& ( ? [U_233] : ra_Px22(U_235,U_233)
| ~ cC2xcomp(U_235) ) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
fof(f_56_3,plain,
( ! [U_237] :
( cC2xcomp(U_237)
| ! [U_234] : ~ ra_Px22(U_237,U_234) )
& ! [U_236] :
( ? [U_233] : ra_Px22(U_236,U_233)
| ~ cC2xcomp(U_236) ) ),
inference(miniscope,[status(thm)],[f_56_2]) ).
fof(f_56_4,plain,
( ! [U_237] :
( cC2xcomp(U_237)
| ! [U_234] : ~ ra_Px22(U_237,U_234) )
& ! [U_236] :
( ra_Px22(U_236,sK35(U_236))
| ~ cC2xcomp(U_236) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_233,sK35(U_236))],[f_56_3]) ).
cnf(f_56_5,plain,
( ra_Px22(U_236,sK35(U_236))
| ~ cC2xcomp(U_236) ),
inference(clausify,[status(thm)],[f_56_4]) ).
cnf(f_56_6,plain,
( cC2xcomp(U_237)
| ~ ra_Px22(U_237,U_234) ),
inference(clausify,[status(thm)],[f_56_4]) ).
fof(f_57_1,plain,
! [X] :
( ( cC20(X)
| ! [Y] :
( ~ cC18(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC18(Y)
& rR1(X,Y) )
| ~ cC20(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_56]) ).
fof(f_57_2,plain,
! [U_240] :
( ( cC20(U_240)
| ! [U_239] :
( ~ cC18(U_239)
| ~ rR1(U_240,U_239) ) )
& ( ? [U_238] :
( cC18(U_238)
& rR1(U_240,U_238) )
| ~ cC20(U_240) ) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
fof(f_57_3,plain,
( ! [U_242] :
( cC20(U_242)
| ! [U_239] :
( ~ cC18(U_239)
| ~ rR1(U_242,U_239) ) )
& ! [U_241] :
( ? [U_238] :
( cC18(U_238)
& rR1(U_241,U_238) )
| ~ cC20(U_241) ) ),
inference(miniscope,[status(thm)],[f_57_2]) ).
fof(f_57_4,plain,
( ! [U_242] :
( cC20(U_242)
| ! [U_239] :
( ~ cC18(U_239)
| ~ rR1(U_242,U_239) ) )
& ! [U_241] :
( ( cC18(sK36(U_241))
& rR1(U_241,sK36(U_241)) )
| ~ cC20(U_241) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(U_238,sK36(U_241))],[f_57_3]) ).
cnf(f_57_5,plain,
( rR1(U_241,sK36(U_241))
| ~ cC20(U_241) ),
inference(clausify,[status(thm)],[f_57_4]) ).
cnf(f_57_6,plain,
( cC18(sK36(U_241))
| ~ cC20(U_241) ),
inference(clausify,[status(thm)],[f_57_4]) ).
cnf(f_57_7,plain,
( cC20(U_242)
| ~ cC18(U_239)
| ~ rR1(U_242,U_239) ),
inference(clausify,[status(thm)],[f_57_4]) ).
fof(f_58_1,plain,
! [X] :
( ( cC22(X)
| ~ cC20(X)
| ~ cC16(X) )
& ( ( cC20(X)
& cC16(X) )
| ~ cC22(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_57]) ).
fof(f_58_2,plain,
! [U_243] :
( ( cC22(U_243)
| ~ cC20(U_243)
| ~ cC16(U_243) )
& ( ( cC20(U_243)
& cC16(U_243) )
| ~ cC22(U_243) ) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
( ! [U_245] :
( cC22(U_245)
| ~ cC20(U_245)
| ~ cC16(U_245) )
& ! [U_244] :
( ( cC20(U_244)
& cC16(U_244) )
| ~ cC22(U_244) ) ),
inference(miniscope,[status(thm)],[f_58_2]) ).
cnf(f_58_4,plain,
( cC16(U_244)
| ~ cC22(U_244) ),
inference(clausify,[status(thm)],[f_58_3]) ).
cnf(f_58_5,plain,
( cC20(U_244)
| ~ cC22(U_244) ),
inference(clausify,[status(thm)],[f_58_3]) ).
cnf(f_58_6,plain,
( cC22(U_245)
| ~ cC20(U_245)
| ~ cC16(U_245) ),
inference(clausify,[status(thm)],[f_58_3]) ).
fof(f_59_1,plain,
! [X] :
( ( cC22(X)
| ! [Y0] : ~ ra_Px6(X,Y0) )
& ( ? [Y0] : ra_Px6(X,Y0)
| ~ cC22(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_58]) ).
fof(f_59_2,plain,
! [U_248] :
( ( cC22(U_248)
| ! [U_247] : ~ ra_Px6(U_248,U_247) )
& ( ? [U_246] : ra_Px6(U_248,U_246)
| ~ cC22(U_248) ) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
fof(f_59_3,plain,
( ! [U_250] :
( cC22(U_250)
| ! [U_247] : ~ ra_Px6(U_250,U_247) )
& ! [U_249] :
( ? [U_246] : ra_Px6(U_249,U_246)
| ~ cC22(U_249) ) ),
inference(miniscope,[status(thm)],[f_59_2]) ).
fof(f_59_4,plain,
( ! [U_250] :
( cC22(U_250)
| ! [U_247] : ~ ra_Px6(U_250,U_247) )
& ! [U_249] :
( ra_Px6(U_249,sK37(U_249))
| ~ cC22(U_249) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_246,sK37(U_249))],[f_59_3]) ).
cnf(f_59_5,plain,
( ra_Px6(U_249,sK37(U_249))
| ~ cC22(U_249) ),
inference(clausify,[status(thm)],[f_59_4]) ).
cnf(f_59_6,plain,
( cC22(U_250)
| ~ ra_Px6(U_250,U_247) ),
inference(clausify,[status(thm)],[f_59_4]) ).
fof(f_60_1,plain,
! [X] :
( ( cC22xcomp(X)
| ? [Y] : ra_Px6(X,Y) )
& ( ! [Y] : ~ ra_Px6(X,Y)
| ~ cC22xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_59]) ).
fof(f_60_2,plain,
! [U_253] :
( ( cC22xcomp(U_253)
| ? [U_252] : ra_Px6(U_253,U_252) )
& ( ! [U_251] : ~ ra_Px6(U_253,U_251)
| ~ cC22xcomp(U_253) ) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
fof(f_60_3,plain,
( ! [U_255] :
( cC22xcomp(U_255)
| ? [U_252] : ra_Px6(U_255,U_252) )
& ! [U_254] :
( ! [U_251] : ~ ra_Px6(U_254,U_251)
| ~ cC22xcomp(U_254) ) ),
inference(miniscope,[status(thm)],[f_60_2]) ).
fof(f_60_4,plain,
( ! [U_255] :
( cC22xcomp(U_255)
| ra_Px6(U_255,sK38(U_255)) )
& ! [U_254] :
( ! [U_251] : ~ ra_Px6(U_254,U_251)
| ~ cC22xcomp(U_254) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(U_252,sK38(U_255))],[f_60_3]) ).
cnf(f_60_5,plain,
( ~ ra_Px6(U_254,U_251)
| ~ cC22xcomp(U_254) ),
inference(clausify,[status(thm)],[f_60_4]) ).
cnf(f_60_6,plain,
( cC22xcomp(U_255)
| ra_Px6(U_255,sK38(U_255)) ),
inference(clausify,[status(thm)],[f_60_4]) ).
fof(f_61_1,plain,
! [X] :
( ( cC24(X)
| ~ cC2(X)
| ~ cC16(X) )
& ( ( cC2(X)
& cC16(X) )
| ~ cC24(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_60]) ).
fof(f_61_2,plain,
! [U_256] :
( ( cC24(U_256)
| ~ cC2(U_256)
| ~ cC16(U_256) )
& ( ( cC2(U_256)
& cC16(U_256) )
| ~ cC24(U_256) ) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
fof(f_61_3,plain,
( ! [U_258] :
( cC24(U_258)
| ~ cC2(U_258)
| ~ cC16(U_258) )
& ! [U_257] :
( ( cC2(U_257)
& cC16(U_257) )
| ~ cC24(U_257) ) ),
inference(miniscope,[status(thm)],[f_61_2]) ).
cnf(f_61_4,plain,
( cC16(U_257)
| ~ cC24(U_257) ),
inference(clausify,[status(thm)],[f_61_3]) ).
cnf(f_61_5,plain,
( cC2(U_257)
| ~ cC24(U_257) ),
inference(clausify,[status(thm)],[f_61_3]) ).
cnf(f_61_6,plain,
( cC24(U_258)
| ~ cC2(U_258)
| ~ cC16(U_258) ),
inference(clausify,[status(thm)],[f_61_3]) ).
fof(f_62_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_61]) ).
fof(f_62_2,plain,
! [U_261] :
( ( cC26(U_261)
| ! [U_260] :
( ~ cC24(U_260)
| ~ rR1(U_261,U_260) ) )
& ( ? [U_259] :
( cC24(U_259)
& rR1(U_261,U_259) )
| ~ cC26(U_261) ) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
( ! [U_263] :
( cC26(U_263)
| ! [U_260] :
( ~ cC24(U_260)
| ~ rR1(U_263,U_260) ) )
& ! [U_262] :
( ? [U_259] :
( cC24(U_259)
& rR1(U_262,U_259) )
| ~ cC26(U_262) ) ),
inference(miniscope,[status(thm)],[f_62_2]) ).
fof(f_62_4,plain,
( ! [U_263] :
( cC26(U_263)
| ! [U_260] :
( ~ cC24(U_260)
| ~ rR1(U_263,U_260) ) )
& ! [U_262] :
( ( cC24(sK39(U_262))
& rR1(U_262,sK39(U_262)) )
| ~ cC26(U_262) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(U_259,sK39(U_262))],[f_62_3]) ).
cnf(f_62_5,plain,
( rR1(U_262,sK39(U_262))
| ~ cC26(U_262) ),
inference(clausify,[status(thm)],[f_62_4]) ).
cnf(f_62_6,plain,
( cC24(sK39(U_262))
| ~ cC26(U_262) ),
inference(clausify,[status(thm)],[f_62_4]) ).
cnf(f_62_7,plain,
( cC26(U_263)
| ~ cC24(U_260)
| ~ rR1(U_263,U_260) ),
inference(clausify,[status(thm)],[f_62_4]) ).
fof(f_63_1,plain,
! [X] :
( ( cC28(X)
| ? [Y] : ra_Px7(X,Y) )
& ( ! [Y] : ~ ra_Px7(X,Y)
| ~ cC28(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_62]) ).
fof(f_63_2,plain,
! [U_266] :
( ( cC28(U_266)
| ? [U_265] : ra_Px7(U_266,U_265) )
& ( ! [U_264] : ~ ra_Px7(U_266,U_264)
| ~ cC28(U_266) ) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
( ! [U_268] :
( cC28(U_268)
| ? [U_265] : ra_Px7(U_268,U_265) )
& ! [U_267] :
( ! [U_264] : ~ ra_Px7(U_267,U_264)
| ~ cC28(U_267) ) ),
inference(miniscope,[status(thm)],[f_63_2]) ).
fof(f_63_4,plain,
( ! [U_268] :
( cC28(U_268)
| ra_Px7(U_268,sK40(U_268)) )
& ! [U_267] :
( ! [U_264] : ~ ra_Px7(U_267,U_264)
| ~ cC28(U_267) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(U_265,sK40(U_268))],[f_63_3]) ).
cnf(f_63_5,plain,
( ~ ra_Px7(U_267,U_264)
| ~ cC28(U_267) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_6,plain,
( cC28(U_268)
| ra_Px7(U_268,sK40(U_268)) ),
inference(clausify,[status(thm)],[f_63_4]) ).
fof(f_64_1,plain,
! [X] :
( ( cC28(X)
| ~ cC16xcomp(X)
| ~ cC26(X) )
& ( ( cC16xcomp(X)
& cC26(X) )
| ~ cC28(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_63]) ).
fof(f_64_2,plain,
! [U_269] :
( ( cC28(U_269)
| ~ cC16xcomp(U_269)
| ~ cC26(U_269) )
& ( ( cC16xcomp(U_269)
& cC26(U_269) )
| ~ cC28(U_269) ) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
( ! [U_271] :
( cC28(U_271)
| ~ cC16xcomp(U_271)
| ~ cC26(U_271) )
& ! [U_270] :
( ( cC16xcomp(U_270)
& cC26(U_270) )
| ~ cC28(U_270) ) ),
inference(miniscope,[status(thm)],[f_64_2]) ).
cnf(f_64_4,plain,
( cC26(U_270)
| ~ cC28(U_270) ),
inference(clausify,[status(thm)],[f_64_3]) ).
cnf(f_64_5,plain,
( cC16xcomp(U_270)
| ~ cC28(U_270) ),
inference(clausify,[status(thm)],[f_64_3]) ).
cnf(f_64_6,plain,
( cC28(U_271)
| ~ cC16xcomp(U_271)
| ~ cC26(U_271) ),
inference(clausify,[status(thm)],[f_64_3]) ).
fof(f_65_1,plain,
! [X] :
( ( cC28xcomp(X)
| ! [Y0] : ~ ra_Px7(X,Y0) )
& ( ? [Y0] : ra_Px7(X,Y0)
| ~ cC28xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_64]) ).
fof(f_65_2,plain,
! [U_274] :
( ( cC28xcomp(U_274)
| ! [U_273] : ~ ra_Px7(U_274,U_273) )
& ( ? [U_272] : ra_Px7(U_274,U_272)
| ~ cC28xcomp(U_274) ) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
( ! [U_276] :
( cC28xcomp(U_276)
| ! [U_273] : ~ ra_Px7(U_276,U_273) )
& ! [U_275] :
( ? [U_272] : ra_Px7(U_275,U_272)
| ~ cC28xcomp(U_275) ) ),
inference(miniscope,[status(thm)],[f_65_2]) ).
fof(f_65_4,plain,
( ! [U_276] :
( cC28xcomp(U_276)
| ! [U_273] : ~ ra_Px7(U_276,U_273) )
& ! [U_275] :
( ra_Px7(U_275,sK41(U_275))
| ~ cC28xcomp(U_275) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(U_272,sK41(U_275))],[f_65_3]) ).
cnf(f_65_5,plain,
( ra_Px7(U_275,sK41(U_275))
| ~ cC28xcomp(U_275) ),
inference(clausify,[status(thm)],[f_65_4]) ).
cnf(f_65_6,plain,
( cC28xcomp(U_276)
| ~ ra_Px7(U_276,U_273) ),
inference(clausify,[status(thm)],[f_65_4]) ).
fof(f_66_1,plain,
! [X] :
( ( cC30(X)
| ! [Y0] : ~ ra_Px8(X,Y0) )
& ( ? [Y0] : ra_Px8(X,Y0)
| ~ cC30(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_65]) ).
fof(f_66_2,plain,
! [U_279] :
( ( cC30(U_279)
| ! [U_278] : ~ ra_Px8(U_279,U_278) )
& ( ? [U_277] : ra_Px8(U_279,U_277)
| ~ cC30(U_279) ) ),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
( ! [U_281] :
( cC30(U_281)
| ! [U_278] : ~ ra_Px8(U_281,U_278) )
& ! [U_280] :
( ? [U_277] : ra_Px8(U_280,U_277)
| ~ cC30(U_280) ) ),
inference(miniscope,[status(thm)],[f_66_2]) ).
fof(f_66_4,plain,
( ! [U_281] :
( cC30(U_281)
| ! [U_278] : ~ ra_Px8(U_281,U_278) )
& ! [U_280] :
( ra_Px8(U_280,sK42(U_280))
| ~ cC30(U_280) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(U_277,sK42(U_280))],[f_66_3]) ).
cnf(f_66_5,plain,
( ra_Px8(U_280,sK42(U_280))
| ~ cC30(U_280) ),
inference(clausify,[status(thm)],[f_66_4]) ).
cnf(f_66_6,plain,
( cC30(U_281)
| ~ ra_Px8(U_281,U_278) ),
inference(clausify,[status(thm)],[f_66_4]) ).
fof(f_67_1,plain,
! [X] :
( ( cC30(X)
| ~ cC28xcomp(X)
| ~ cC22xcomp(X) )
& ( ( cC28xcomp(X)
& cC22xcomp(X) )
| ~ cC30(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_66]) ).
fof(f_67_2,plain,
! [U_282] :
( ( cC30(U_282)
| ~ cC28xcomp(U_282)
| ~ cC22xcomp(U_282) )
& ( ( cC28xcomp(U_282)
& cC22xcomp(U_282) )
| ~ cC30(U_282) ) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
( ! [U_284] :
( cC30(U_284)
| ~ cC28xcomp(U_284)
| ~ cC22xcomp(U_284) )
& ! [U_283] :
( ( cC28xcomp(U_283)
& cC22xcomp(U_283) )
| ~ cC30(U_283) ) ),
inference(miniscope,[status(thm)],[f_67_2]) ).
cnf(f_67_4,plain,
( cC22xcomp(U_283)
| ~ cC30(U_283) ),
inference(clausify,[status(thm)],[f_67_3]) ).
cnf(f_67_5,plain,
( cC28xcomp(U_283)
| ~ cC30(U_283) ),
inference(clausify,[status(thm)],[f_67_3]) ).
cnf(f_67_6,plain,
( cC30(U_284)
| ~ cC28xcomp(U_284)
| ~ cC22xcomp(U_284) ),
inference(clausify,[status(thm)],[f_67_3]) ).
fof(f_68_1,plain,
! [X] :
( ( cC30xcomp(X)
| ? [Y] : ra_Px8(X,Y) )
& ( ! [Y] : ~ ra_Px8(X,Y)
| ~ cC30xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_67]) ).
fof(f_68_2,plain,
! [U_287] :
( ( cC30xcomp(U_287)
| ? [U_286] : ra_Px8(U_287,U_286) )
& ( ! [U_285] : ~ ra_Px8(U_287,U_285)
| ~ cC30xcomp(U_287) ) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
fof(f_68_3,plain,
( ! [U_289] :
( cC30xcomp(U_289)
| ? [U_286] : ra_Px8(U_289,U_286) )
& ! [U_288] :
( ! [U_285] : ~ ra_Px8(U_288,U_285)
| ~ cC30xcomp(U_288) ) ),
inference(miniscope,[status(thm)],[f_68_2]) ).
fof(f_68_4,plain,
( ! [U_289] :
( cC30xcomp(U_289)
| ra_Px8(U_289,sK43(U_289)) )
& ! [U_288] :
( ! [U_285] : ~ ra_Px8(U_288,U_285)
| ~ cC30xcomp(U_288) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(U_286,sK43(U_289))],[f_68_3]) ).
cnf(f_68_5,plain,
( ~ ra_Px8(U_288,U_285)
| ~ cC30xcomp(U_288) ),
inference(clausify,[status(thm)],[f_68_4]) ).
cnf(f_68_6,plain,
( cC30xcomp(U_289)
| ra_Px8(U_289,sK43(U_289)) ),
inference(clausify,[status(thm)],[f_68_4]) ).
fof(f_69_1,plain,
! [X] :
( ( cC32(X)
| ~ cC30xcomp(X)
| ~ cC2(X) )
& ( ( cC30xcomp(X)
& cC2(X) )
| ~ cC32(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_68]) ).
fof(f_69_2,plain,
! [U_290] :
( ( cC32(U_290)
| ~ cC30xcomp(U_290)
| ~ cC2(U_290) )
& ( ( cC30xcomp(U_290)
& cC2(U_290) )
| ~ cC32(U_290) ) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
( ! [U_292] :
( cC32(U_292)
| ~ cC30xcomp(U_292)
| ~ cC2(U_292) )
& ! [U_291] :
( ( cC30xcomp(U_291)
& cC2(U_291) )
| ~ cC32(U_291) ) ),
inference(miniscope,[status(thm)],[f_69_2]) ).
cnf(f_69_4,plain,
( cC2(U_291)
| ~ cC32(U_291) ),
inference(clausify,[status(thm)],[f_69_3]) ).
cnf(f_69_5,plain,
( cC30xcomp(U_291)
| ~ cC32(U_291) ),
inference(clausify,[status(thm)],[f_69_3]) ).
cnf(f_69_6,plain,
( cC32(U_292)
| ~ cC30xcomp(U_292)
| ~ cC2(U_292) ),
inference(clausify,[status(thm)],[f_69_3]) ).
fof(f_70_1,plain,
! [X] :
( ( cC32(X)
| ! [Y0] : ~ ra_Px14(X,Y0) )
& ( ? [Y0] : ra_Px14(X,Y0)
| ~ cC32(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_69]) ).
fof(f_70_2,plain,
! [U_295] :
( ( cC32(U_295)
| ! [U_294] : ~ ra_Px14(U_295,U_294) )
& ( ? [U_293] : ra_Px14(U_295,U_293)
| ~ cC32(U_295) ) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
( ! [U_297] :
( cC32(U_297)
| ! [U_294] : ~ ra_Px14(U_297,U_294) )
& ! [U_296] :
( ? [U_293] : ra_Px14(U_296,U_293)
| ~ cC32(U_296) ) ),
inference(miniscope,[status(thm)],[f_70_2]) ).
fof(f_70_4,plain,
( ! [U_297] :
( cC32(U_297)
| ! [U_294] : ~ ra_Px14(U_297,U_294) )
& ! [U_296] :
( ra_Px14(U_296,sK44(U_296))
| ~ cC32(U_296) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(U_293,sK44(U_296))],[f_70_3]) ).
cnf(f_70_5,plain,
( ra_Px14(U_296,sK44(U_296))
| ~ cC32(U_296) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_6,plain,
( cC32(U_297)
| ~ ra_Px14(U_297,U_294) ),
inference(clausify,[status(thm)],[f_70_4]) ).
fof(f_71_1,plain,
! [X] :
( ( cC32xcomp(X)
| ? [Y] : ra_Px14(X,Y) )
& ( ! [Y] : ~ ra_Px14(X,Y)
| ~ cC32xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_70]) ).
fof(f_71_2,plain,
! [U_300] :
( ( cC32xcomp(U_300)
| ? [U_299] : ra_Px14(U_300,U_299) )
& ( ! [U_298] : ~ ra_Px14(U_300,U_298)
| ~ cC32xcomp(U_300) ) ),
inference(variable_rename,[status(thm)],[f_71_1]) ).
fof(f_71_3,plain,
( ! [U_302] :
( cC32xcomp(U_302)
| ? [U_299] : ra_Px14(U_302,U_299) )
& ! [U_301] :
( ! [U_298] : ~ ra_Px14(U_301,U_298)
| ~ cC32xcomp(U_301) ) ),
inference(miniscope,[status(thm)],[f_71_2]) ).
fof(f_71_4,plain,
( ! [U_302] :
( cC32xcomp(U_302)
| ra_Px14(U_302,sK45(U_302)) )
& ! [U_301] :
( ! [U_298] : ~ ra_Px14(U_301,U_298)
| ~ cC32xcomp(U_301) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(U_299,sK45(U_302))],[f_71_3]) ).
cnf(f_71_5,plain,
( ~ ra_Px14(U_301,U_298)
| ~ cC32xcomp(U_301) ),
inference(clausify,[status(thm)],[f_71_4]) ).
cnf(f_71_6,plain,
( cC32xcomp(U_302)
| ra_Px14(U_302,sK45(U_302)) ),
inference(clausify,[status(thm)],[f_71_4]) ).
fof(f_72_1,plain,
! [X] :
( ( cC34(X)
| ! [Y0] : ~ ra_Px9(X,Y0) )
& ( ? [Y0] : ra_Px9(X,Y0)
| ~ cC34(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_71]) ).
fof(f_72_2,plain,
! [U_305] :
( ( cC34(U_305)
| ! [U_304] : ~ ra_Px9(U_305,U_304) )
& ( ? [U_303] : ra_Px9(U_305,U_303)
| ~ cC34(U_305) ) ),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
( ! [U_307] :
( cC34(U_307)
| ! [U_304] : ~ ra_Px9(U_307,U_304) )
& ! [U_306] :
( ? [U_303] : ra_Px9(U_306,U_303)
| ~ cC34(U_306) ) ),
inference(miniscope,[status(thm)],[f_72_2]) ).
fof(f_72_4,plain,
( ! [U_307] :
( cC34(U_307)
| ! [U_304] : ~ ra_Px9(U_307,U_304) )
& ! [U_306] :
( ra_Px9(U_306,sK46(U_306))
| ~ cC34(U_306) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(U_303,sK46(U_306))],[f_72_3]) ).
cnf(f_72_5,plain,
( ra_Px9(U_306,sK46(U_306))
| ~ cC34(U_306) ),
inference(clausify,[status(thm)],[f_72_4]) ).
cnf(f_72_6,plain,
( cC34(U_307)
| ~ ra_Px9(U_307,U_304) ),
inference(clausify,[status(thm)],[f_72_4]) ).
fof(f_73_1,plain,
! [X] :
( ( cC34xcomp(X)
| ? [Y] : ra_Px9(X,Y) )
& ( ! [Y] : ~ ra_Px9(X,Y)
| ~ cC34xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_72]) ).
fof(f_73_2,plain,
! [U_310] :
( ( cC34xcomp(U_310)
| ? [U_309] : ra_Px9(U_310,U_309) )
& ( ! [U_308] : ~ ra_Px9(U_310,U_308)
| ~ cC34xcomp(U_310) ) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
( ! [U_312] :
( cC34xcomp(U_312)
| ? [U_309] : ra_Px9(U_312,U_309) )
& ! [U_311] :
( ! [U_308] : ~ ra_Px9(U_311,U_308)
| ~ cC34xcomp(U_311) ) ),
inference(miniscope,[status(thm)],[f_73_2]) ).
fof(f_73_4,plain,
( ! [U_312] :
( cC34xcomp(U_312)
| ra_Px9(U_312,sK47(U_312)) )
& ! [U_311] :
( ! [U_308] : ~ ra_Px9(U_311,U_308)
| ~ cC34xcomp(U_311) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(U_309,sK47(U_312))],[f_73_3]) ).
cnf(f_73_5,plain,
( ~ ra_Px9(U_311,U_308)
| ~ cC34xcomp(U_311) ),
inference(clausify,[status(thm)],[f_73_4]) ).
cnf(f_73_6,plain,
( cC34xcomp(U_312)
| ra_Px9(U_312,sK47(U_312)) ),
inference(clausify,[status(thm)],[f_73_4]) ).
fof(f_74_1,plain,
! [X] :
( ( cC36(X)
| ~ cC4(X)
| ~ cC34xcomp(X) )
& ( ( cC4(X)
& cC34xcomp(X) )
| ~ cC36(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_73]) ).
fof(f_74_2,plain,
! [U_313] :
( ( cC36(U_313)
| ~ cC4(U_313)
| ~ cC34xcomp(U_313) )
& ( ( cC4(U_313)
& cC34xcomp(U_313) )
| ~ cC36(U_313) ) ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
( ! [U_315] :
( cC36(U_315)
| ~ cC4(U_315)
| ~ cC34xcomp(U_315) )
& ! [U_314] :
( ( cC4(U_314)
& cC34xcomp(U_314) )
| ~ cC36(U_314) ) ),
inference(miniscope,[status(thm)],[f_74_2]) ).
cnf(f_74_4,plain,
( cC34xcomp(U_314)
| ~ cC36(U_314) ),
inference(clausify,[status(thm)],[f_74_3]) ).
cnf(f_74_5,plain,
( cC4(U_314)
| ~ cC36(U_314) ),
inference(clausify,[status(thm)],[f_74_3]) ).
cnf(f_74_6,plain,
( cC36(U_315)
| ~ cC4(U_315)
| ~ cC34xcomp(U_315) ),
inference(clausify,[status(thm)],[f_74_3]) ).
fof(f_75_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_74]) ).
fof(f_75_2,plain,
! [U_318] :
( ( cC38(U_318)
| ! [U_317] :
( ~ cC36(U_317)
| ~ rR1(U_318,U_317) ) )
& ( ? [U_316] :
( cC36(U_316)
& rR1(U_318,U_316) )
| ~ cC38(U_318) ) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
( ! [U_320] :
( cC38(U_320)
| ! [U_317] :
( ~ cC36(U_317)
| ~ rR1(U_320,U_317) ) )
& ! [U_319] :
( ? [U_316] :
( cC36(U_316)
& rR1(U_319,U_316) )
| ~ cC38(U_319) ) ),
inference(miniscope,[status(thm)],[f_75_2]) ).
fof(f_75_4,plain,
( ! [U_320] :
( cC38(U_320)
| ! [U_317] :
( ~ cC36(U_317)
| ~ rR1(U_320,U_317) ) )
& ! [U_319] :
( ( cC36(sK48(U_319))
& rR1(U_319,sK48(U_319)) )
| ~ cC38(U_319) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(U_316,sK48(U_319))],[f_75_3]) ).
cnf(f_75_5,plain,
( rR1(U_319,sK48(U_319))
| ~ cC38(U_319) ),
inference(clausify,[status(thm)],[f_75_4]) ).
cnf(f_75_6,plain,
( cC36(sK48(U_319))
| ~ cC38(U_319) ),
inference(clausify,[status(thm)],[f_75_4]) ).
cnf(f_75_7,plain,
( cC38(U_320)
| ~ cC36(U_317)
| ~ rR1(U_320,U_317) ),
inference(clausify,[status(thm)],[f_75_4]) ).
fof(f_76_1,plain,
! [X] :
( ( cC4(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cC4(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_75]) ).
fof(f_76_2,plain,
! [U_323] :
( ( cC4(U_323)
| ? [U_322] : ra_Px1(U_323,U_322) )
& ( ! [U_321] : ~ ra_Px1(U_323,U_321)
| ~ cC4(U_323) ) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
fof(f_76_3,plain,
( ! [U_325] :
( cC4(U_325)
| ? [U_322] : ra_Px1(U_325,U_322) )
& ! [U_324] :
( ! [U_321] : ~ ra_Px1(U_324,U_321)
| ~ cC4(U_324) ) ),
inference(miniscope,[status(thm)],[f_76_2]) ).
fof(f_76_4,plain,
( ! [U_325] :
( cC4(U_325)
| ra_Px1(U_325,sK49(U_325)) )
& ! [U_324] :
( ! [U_321] : ~ ra_Px1(U_324,U_321)
| ~ cC4(U_324) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(U_322,sK49(U_325))],[f_76_3]) ).
cnf(f_76_5,plain,
( ~ ra_Px1(U_324,U_321)
| ~ cC4(U_324) ),
inference(clausify,[status(thm)],[f_76_4]) ).
cnf(f_76_6,plain,
( cC4(U_325)
| ra_Px1(U_325,sK49(U_325)) ),
inference(clausify,[status(thm)],[f_76_4]) ).
fof(f_77_1,plain,
! [X] :
( ( cC4xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cC4xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_76]) ).
fof(f_77_2,plain,
! [U_328] :
( ( cC4xcomp(U_328)
| ! [U_327] : ~ ra_Px1(U_328,U_327) )
& ( ? [U_326] : ra_Px1(U_328,U_326)
| ~ cC4xcomp(U_328) ) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
( ! [U_330] :
( cC4xcomp(U_330)
| ! [U_327] : ~ ra_Px1(U_330,U_327) )
& ! [U_329] :
( ? [U_326] : ra_Px1(U_329,U_326)
| ~ cC4xcomp(U_329) ) ),
inference(miniscope,[status(thm)],[f_77_2]) ).
fof(f_77_4,plain,
( ! [U_330] :
( cC4xcomp(U_330)
| ! [U_327] : ~ ra_Px1(U_330,U_327) )
& ! [U_329] :
( ra_Px1(U_329,sK50(U_329))
| ~ cC4xcomp(U_329) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(U_326,sK50(U_329))],[f_77_3]) ).
cnf(f_77_5,plain,
( ra_Px1(U_329,sK50(U_329))
| ~ cC4xcomp(U_329) ),
inference(clausify,[status(thm)],[f_77_4]) ).
cnf(f_77_6,plain,
( cC4xcomp(U_330)
| ~ ra_Px1(U_330,U_327) ),
inference(clausify,[status(thm)],[f_77_4]) ).
fof(f_78_1,plain,
! [X] :
( ( cC40(X)
| ! [Y0] : ~ ra_Px11(X,Y0) )
& ( ? [Y0] : ra_Px11(X,Y0)
| ~ cC40(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_77]) ).
fof(f_78_2,plain,
! [U_333] :
( ( cC40(U_333)
| ! [U_332] : ~ ra_Px11(U_333,U_332) )
& ( ? [U_331] : ra_Px11(U_333,U_331)
| ~ cC40(U_333) ) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
fof(f_78_3,plain,
( ! [U_335] :
( cC40(U_335)
| ! [U_332] : ~ ra_Px11(U_335,U_332) )
& ! [U_334] :
( ? [U_331] : ra_Px11(U_334,U_331)
| ~ cC40(U_334) ) ),
inference(miniscope,[status(thm)],[f_78_2]) ).
fof(f_78_4,plain,
( ! [U_335] :
( cC40(U_335)
| ! [U_332] : ~ ra_Px11(U_335,U_332) )
& ! [U_334] :
( ra_Px11(U_334,sK51(U_334))
| ~ cC40(U_334) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(U_331,sK51(U_334))],[f_78_3]) ).
cnf(f_78_5,plain,
( ra_Px11(U_334,sK51(U_334))
| ~ cC40(U_334) ),
inference(clausify,[status(thm)],[f_78_4]) ).
cnf(f_78_6,plain,
( cC40(U_335)
| ~ ra_Px11(U_335,U_332) ),
inference(clausify,[status(thm)],[f_78_4]) ).
fof(f_79_1,plain,
! [X] :
( ( cC40(X)
| ~ cC38(X)
| ~ cC34(X) )
& ( ( cC38(X)
& cC34(X) )
| ~ cC40(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_78]) ).
fof(f_79_2,plain,
! [U_336] :
( ( cC40(U_336)
| ~ cC38(U_336)
| ~ cC34(U_336) )
& ( ( cC38(U_336)
& cC34(U_336) )
| ~ cC40(U_336) ) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
fof(f_79_3,plain,
( ! [U_338] :
( cC40(U_338)
| ~ cC38(U_338)
| ~ cC34(U_338) )
& ! [U_337] :
( ( cC38(U_337)
& cC34(U_337) )
| ~ cC40(U_337) ) ),
inference(miniscope,[status(thm)],[f_79_2]) ).
cnf(f_79_4,plain,
( cC34(U_337)
| ~ cC40(U_337) ),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_5,plain,
( cC38(U_337)
| ~ cC40(U_337) ),
inference(clausify,[status(thm)],[f_79_3]) ).
cnf(f_79_6,plain,
( cC40(U_338)
| ~ cC38(U_338)
| ~ cC34(U_338) ),
inference(clausify,[status(thm)],[f_79_3]) ).
fof(f_80_1,plain,
! [X] :
( ( cC40xcomp(X)
| ? [Y] : ra_Px11(X,Y) )
& ( ! [Y] : ~ ra_Px11(X,Y)
| ~ cC40xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_79]) ).
fof(f_80_2,plain,
! [U_341] :
( ( cC40xcomp(U_341)
| ? [U_340] : ra_Px11(U_341,U_340) )
& ( ! [U_339] : ~ ra_Px11(U_341,U_339)
| ~ cC40xcomp(U_341) ) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
fof(f_80_3,plain,
( ! [U_343] :
( cC40xcomp(U_343)
| ? [U_340] : ra_Px11(U_343,U_340) )
& ! [U_342] :
( ! [U_339] : ~ ra_Px11(U_342,U_339)
| ~ cC40xcomp(U_342) ) ),
inference(miniscope,[status(thm)],[f_80_2]) ).
fof(f_80_4,plain,
( ! [U_343] :
( cC40xcomp(U_343)
| ra_Px11(U_343,sK52(U_343)) )
& ! [U_342] :
( ! [U_339] : ~ ra_Px11(U_342,U_339)
| ~ cC40xcomp(U_342) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(U_340,sK52(U_343))],[f_80_3]) ).
cnf(f_80_5,plain,
( ~ ra_Px11(U_342,U_339)
| ~ cC40xcomp(U_342) ),
inference(clausify,[status(thm)],[f_80_4]) ).
cnf(f_80_6,plain,
( cC40xcomp(U_343)
| ra_Px11(U_343,sK52(U_343)) ),
inference(clausify,[status(thm)],[f_80_4]) ).
fof(f_81_1,plain,
! [X] :
( ( cC42(X)
| ~ cC34(X)
| ~ cC4(X) )
& ( ( cC34(X)
& cC4(X) )
| ~ cC42(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_80]) ).
fof(f_81_2,plain,
! [U_344] :
( ( cC42(U_344)
| ~ cC34(U_344)
| ~ cC4(U_344) )
& ( ( cC34(U_344)
& cC4(U_344) )
| ~ cC42(U_344) ) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
fof(f_81_3,plain,
( ! [U_346] :
( cC42(U_346)
| ~ cC34(U_346)
| ~ cC4(U_346) )
& ! [U_345] :
( ( cC34(U_345)
& cC4(U_345) )
| ~ cC42(U_345) ) ),
inference(miniscope,[status(thm)],[f_81_2]) ).
cnf(f_81_4,plain,
( cC4(U_345)
| ~ cC42(U_345) ),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_5,plain,
( cC34(U_345)
| ~ cC42(U_345) ),
inference(clausify,[status(thm)],[f_81_3]) ).
cnf(f_81_6,plain,
( cC42(U_346)
| ~ cC34(U_346)
| ~ cC4(U_346) ),
inference(clausify,[status(thm)],[f_81_3]) ).
fof(f_82_1,plain,
! [X] :
( ( cC44(X)
| ! [Y] :
( ~ cC42(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC42(Y)
& rR1(X,Y) )
| ~ cC44(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_81]) ).
fof(f_82_2,plain,
! [U_349] :
( ( cC44(U_349)
| ! [U_348] :
( ~ cC42(U_348)
| ~ rR1(U_349,U_348) ) )
& ( ? [U_347] :
( cC42(U_347)
& rR1(U_349,U_347) )
| ~ cC44(U_349) ) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
fof(f_82_3,plain,
( ! [U_351] :
( cC44(U_351)
| ! [U_348] :
( ~ cC42(U_348)
| ~ rR1(U_351,U_348) ) )
& ! [U_350] :
( ? [U_347] :
( cC42(U_347)
& rR1(U_350,U_347) )
| ~ cC44(U_350) ) ),
inference(miniscope,[status(thm)],[f_82_2]) ).
fof(f_82_4,plain,
( ! [U_351] :
( cC44(U_351)
| ! [U_348] :
( ~ cC42(U_348)
| ~ rR1(U_351,U_348) ) )
& ! [U_350] :
( ( cC42(sK53(U_350))
& rR1(U_350,sK53(U_350)) )
| ~ cC44(U_350) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(U_347,sK53(U_350))],[f_82_3]) ).
cnf(f_82_5,plain,
( rR1(U_350,sK53(U_350))
| ~ cC44(U_350) ),
inference(clausify,[status(thm)],[f_82_4]) ).
cnf(f_82_6,plain,
( cC42(sK53(U_350))
| ~ cC44(U_350) ),
inference(clausify,[status(thm)],[f_82_4]) ).
cnf(f_82_7,plain,
( cC44(U_351)
| ~ cC42(U_348)
| ~ rR1(U_351,U_348) ),
inference(clausify,[status(thm)],[f_82_4]) ).
fof(f_83_1,plain,
! [X] :
( ( cC46(X)
| ! [Y0] : ~ ra_Px12(X,Y0) )
& ( ? [Y0] : ra_Px12(X,Y0)
| ~ cC46(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_82]) ).
fof(f_83_2,plain,
! [U_354] :
( ( cC46(U_354)
| ! [U_353] : ~ ra_Px12(U_354,U_353) )
& ( ? [U_352] : ra_Px12(U_354,U_352)
| ~ cC46(U_354) ) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
fof(f_83_3,plain,
( ! [U_356] :
( cC46(U_356)
| ! [U_353] : ~ ra_Px12(U_356,U_353) )
& ! [U_355] :
( ? [U_352] : ra_Px12(U_355,U_352)
| ~ cC46(U_355) ) ),
inference(miniscope,[status(thm)],[f_83_2]) ).
fof(f_83_4,plain,
( ! [U_356] :
( cC46(U_356)
| ! [U_353] : ~ ra_Px12(U_356,U_353) )
& ! [U_355] :
( ra_Px12(U_355,sK54(U_355))
| ~ cC46(U_355) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(U_352,sK54(U_355))],[f_83_3]) ).
cnf(f_83_5,plain,
( ra_Px12(U_355,sK54(U_355))
| ~ cC46(U_355) ),
inference(clausify,[status(thm)],[f_83_4]) ).
cnf(f_83_6,plain,
( cC46(U_356)
| ~ ra_Px12(U_356,U_353) ),
inference(clausify,[status(thm)],[f_83_4]) ).
fof(f_84_1,plain,
! [X] :
( ( cC46(X)
| ~ cC44(X)
| ~ cC34xcomp(X) )
& ( ( cC44(X)
& cC34xcomp(X) )
| ~ cC46(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_83]) ).
fof(f_84_2,plain,
! [U_357] :
( ( cC46(U_357)
| ~ cC44(U_357)
| ~ cC34xcomp(U_357) )
& ( ( cC44(U_357)
& cC34xcomp(U_357) )
| ~ cC46(U_357) ) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
fof(f_84_3,plain,
( ! [U_359] :
( cC46(U_359)
| ~ cC44(U_359)
| ~ cC34xcomp(U_359) )
& ! [U_358] :
( ( cC44(U_358)
& cC34xcomp(U_358) )
| ~ cC46(U_358) ) ),
inference(miniscope,[status(thm)],[f_84_2]) ).
cnf(f_84_4,plain,
( cC34xcomp(U_358)
| ~ cC46(U_358) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_5,plain,
( cC44(U_358)
| ~ cC46(U_358) ),
inference(clausify,[status(thm)],[f_84_3]) ).
cnf(f_84_6,plain,
( cC46(U_359)
| ~ cC44(U_359)
| ~ cC34xcomp(U_359) ),
inference(clausify,[status(thm)],[f_84_3]) ).
fof(f_85_1,plain,
! [X] :
( ( cC46xcomp(X)
| ? [Y] : ra_Px12(X,Y) )
& ( ! [Y] : ~ ra_Px12(X,Y)
| ~ cC46xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_84]) ).
fof(f_85_2,plain,
! [U_362] :
( ( cC46xcomp(U_362)
| ? [U_361] : ra_Px12(U_362,U_361) )
& ( ! [U_360] : ~ ra_Px12(U_362,U_360)
| ~ cC46xcomp(U_362) ) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
fof(f_85_3,plain,
( ! [U_364] :
( cC46xcomp(U_364)
| ? [U_361] : ra_Px12(U_364,U_361) )
& ! [U_363] :
( ! [U_360] : ~ ra_Px12(U_363,U_360)
| ~ cC46xcomp(U_363) ) ),
inference(miniscope,[status(thm)],[f_85_2]) ).
fof(f_85_4,plain,
( ! [U_364] :
( cC46xcomp(U_364)
| ra_Px12(U_364,sK55(U_364)) )
& ! [U_363] :
( ! [U_360] : ~ ra_Px12(U_363,U_360)
| ~ cC46xcomp(U_363) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(U_361,sK55(U_364))],[f_85_3]) ).
cnf(f_85_5,plain,
( ~ ra_Px12(U_363,U_360)
| ~ cC46xcomp(U_363) ),
inference(clausify,[status(thm)],[f_85_4]) ).
cnf(f_85_6,plain,
( cC46xcomp(U_364)
| ra_Px12(U_364,sK55(U_364)) ),
inference(clausify,[status(thm)],[f_85_4]) ).
fof(f_86_1,plain,
! [X] :
( ( cC48(X)
| ? [Y] : ra_Px13(X,Y) )
& ( ! [Y] : ~ ra_Px13(X,Y)
| ~ cC48(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_85]) ).
fof(f_86_2,plain,
! [U_367] :
( ( cC48(U_367)
| ? [U_366] : ra_Px13(U_367,U_366) )
& ( ! [U_365] : ~ ra_Px13(U_367,U_365)
| ~ cC48(U_367) ) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
fof(f_86_3,plain,
( ! [U_369] :
( cC48(U_369)
| ? [U_366] : ra_Px13(U_369,U_366) )
& ! [U_368] :
( ! [U_365] : ~ ra_Px13(U_368,U_365)
| ~ cC48(U_368) ) ),
inference(miniscope,[status(thm)],[f_86_2]) ).
fof(f_86_4,plain,
( ! [U_369] :
( cC48(U_369)
| ra_Px13(U_369,sK56(U_369)) )
& ! [U_368] :
( ! [U_365] : ~ ra_Px13(U_368,U_365)
| ~ cC48(U_368) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(U_366,sK56(U_369))],[f_86_3]) ).
cnf(f_86_5,plain,
( ~ ra_Px13(U_368,U_365)
| ~ cC48(U_368) ),
inference(clausify,[status(thm)],[f_86_4]) ).
cnf(f_86_6,plain,
( cC48(U_369)
| ra_Px13(U_369,sK56(U_369)) ),
inference(clausify,[status(thm)],[f_86_4]) ).
fof(f_87_1,plain,
! [X] :
( ( cC48(X)
| ~ cC46xcomp(X)
| ~ cC40xcomp(X) )
& ( ( cC46xcomp(X)
& cC40xcomp(X) )
| ~ cC48(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_86]) ).
fof(f_87_2,plain,
! [U_370] :
( ( cC48(U_370)
| ~ cC46xcomp(U_370)
| ~ cC40xcomp(U_370) )
& ( ( cC46xcomp(U_370)
& cC40xcomp(U_370) )
| ~ cC48(U_370) ) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
( ! [U_372] :
( cC48(U_372)
| ~ cC46xcomp(U_372)
| ~ cC40xcomp(U_372) )
& ! [U_371] :
( ( cC46xcomp(U_371)
& cC40xcomp(U_371) )
| ~ cC48(U_371) ) ),
inference(miniscope,[status(thm)],[f_87_2]) ).
cnf(f_87_4,plain,
( cC40xcomp(U_371)
| ~ cC48(U_371) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_5,plain,
( cC46xcomp(U_371)
| ~ cC48(U_371) ),
inference(clausify,[status(thm)],[f_87_3]) ).
cnf(f_87_6,plain,
( cC48(U_372)
| ~ cC46xcomp(U_372)
| ~ cC40xcomp(U_372) ),
inference(clausify,[status(thm)],[f_87_3]) ).
fof(f_88_1,plain,
! [X] :
( ( cC48xcomp(X)
| ! [Y0] : ~ ra_Px13(X,Y0) )
& ( ? [Y0] : ra_Px13(X,Y0)
| ~ cC48xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_87]) ).
fof(f_88_2,plain,
! [U_375] :
( ( cC48xcomp(U_375)
| ! [U_374] : ~ ra_Px13(U_375,U_374) )
& ( ? [U_373] : ra_Px13(U_375,U_373)
| ~ cC48xcomp(U_375) ) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
( ! [U_377] :
( cC48xcomp(U_377)
| ! [U_374] : ~ ra_Px13(U_377,U_374) )
& ! [U_376] :
( ? [U_373] : ra_Px13(U_376,U_373)
| ~ cC48xcomp(U_376) ) ),
inference(miniscope,[status(thm)],[f_88_2]) ).
fof(f_88_4,plain,
( ! [U_377] :
( cC48xcomp(U_377)
| ! [U_374] : ~ ra_Px13(U_377,U_374) )
& ! [U_376] :
( ra_Px13(U_376,sK57(U_376))
| ~ cC48xcomp(U_376) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(U_373,sK57(U_376))],[f_88_3]) ).
cnf(f_88_5,plain,
( ra_Px13(U_376,sK57(U_376))
| ~ cC48xcomp(U_376) ),
inference(clausify,[status(thm)],[f_88_4]) ).
cnf(f_88_6,plain,
( cC48xcomp(U_377)
| ~ ra_Px13(U_377,U_374) ),
inference(clausify,[status(thm)],[f_88_4]) ).
fof(f_89_1,plain,
! [X] :
( ( cC50(X)
| ! [Y0] : ~ ra_Px15(X,Y0) )
& ( ? [Y0] : ra_Px15(X,Y0)
| ~ cC50(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_88]) ).
fof(f_89_2,plain,
! [U_380] :
( ( cC50(U_380)
| ! [U_379] : ~ ra_Px15(U_380,U_379) )
& ( ? [U_378] : ra_Px15(U_380,U_378)
| ~ cC50(U_380) ) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
fof(f_89_3,plain,
( ! [U_382] :
( cC50(U_382)
| ! [U_379] : ~ ra_Px15(U_382,U_379) )
& ! [U_381] :
( ? [U_378] : ra_Px15(U_381,U_378)
| ~ cC50(U_381) ) ),
inference(miniscope,[status(thm)],[f_89_2]) ).
fof(f_89_4,plain,
( ! [U_382] :
( cC50(U_382)
| ! [U_379] : ~ ra_Px15(U_382,U_379) )
& ! [U_381] :
( ra_Px15(U_381,sK58(U_381))
| ~ cC50(U_381) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(U_378,sK58(U_381))],[f_89_3]) ).
cnf(f_89_5,plain,
( ra_Px15(U_381,sK58(U_381))
| ~ cC50(U_381) ),
inference(clausify,[status(thm)],[f_89_4]) ).
cnf(f_89_6,plain,
( cC50(U_382)
| ~ ra_Px15(U_382,U_379) ),
inference(clausify,[status(thm)],[f_89_4]) ).
fof(f_90_1,plain,
! [X] :
( ( cC50(X)
| ~ cC48xcomp(X)
| ~ cC4(X) )
& ( ( cC48xcomp(X)
& cC4(X) )
| ~ cC50(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_89]) ).
fof(f_90_2,plain,
! [U_383] :
( ( cC50(U_383)
| ~ cC48xcomp(U_383)
| ~ cC4(U_383) )
& ( ( cC48xcomp(U_383)
& cC4(U_383) )
| ~ cC50(U_383) ) ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
( ! [U_385] :
( cC50(U_385)
| ~ cC48xcomp(U_385)
| ~ cC4(U_385) )
& ! [U_384] :
( ( cC48xcomp(U_384)
& cC4(U_384) )
| ~ cC50(U_384) ) ),
inference(miniscope,[status(thm)],[f_90_2]) ).
cnf(f_90_4,plain,
( cC4(U_384)
| ~ cC50(U_384) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_5,plain,
( cC48xcomp(U_384)
| ~ cC50(U_384) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_6,plain,
( cC50(U_385)
| ~ cC48xcomp(U_385)
| ~ cC4(U_385) ),
inference(clausify,[status(thm)],[f_90_3]) ).
fof(f_91_1,plain,
! [X] :
( ( cC50xcomp(X)
| ? [Y] : ra_Px15(X,Y) )
& ( ! [Y] : ~ ra_Px15(X,Y)
| ~ cC50xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_90]) ).
fof(f_91_2,plain,
! [U_388] :
( ( cC50xcomp(U_388)
| ? [U_387] : ra_Px15(U_388,U_387) )
& ( ! [U_386] : ~ ra_Px15(U_388,U_386)
| ~ cC50xcomp(U_388) ) ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
( ! [U_390] :
( cC50xcomp(U_390)
| ? [U_387] : ra_Px15(U_390,U_387) )
& ! [U_389] :
( ! [U_386] : ~ ra_Px15(U_389,U_386)
| ~ cC50xcomp(U_389) ) ),
inference(miniscope,[status(thm)],[f_91_2]) ).
fof(f_91_4,plain,
( ! [U_390] :
( cC50xcomp(U_390)
| ra_Px15(U_390,sK59(U_390)) )
& ! [U_389] :
( ! [U_386] : ~ ra_Px15(U_389,U_386)
| ~ cC50xcomp(U_389) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(U_387,sK59(U_390))],[f_91_3]) ).
cnf(f_91_5,plain,
( ~ ra_Px15(U_389,U_386)
| ~ cC50xcomp(U_389) ),
inference(clausify,[status(thm)],[f_91_4]) ).
cnf(f_91_6,plain,
( cC50xcomp(U_390)
| ra_Px15(U_390,sK59(U_390)) ),
inference(clausify,[status(thm)],[f_91_4]) ).
fof(f_92_1,plain,
! [X] :
( ( cC52(X)
| ~ cC50xcomp(X)
| ~ cC32xcomp(X) )
& ( ( cC50xcomp(X)
& cC32xcomp(X) )
| ~ cC52(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_91]) ).
fof(f_92_2,plain,
! [U_391] :
( ( cC52(U_391)
| ~ cC50xcomp(U_391)
| ~ cC32xcomp(U_391) )
& ( ( cC50xcomp(U_391)
& cC32xcomp(U_391) )
| ~ cC52(U_391) ) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
( ! [U_393] :
( cC52(U_393)
| ~ cC50xcomp(U_393)
| ~ cC32xcomp(U_393) )
& ! [U_392] :
( ( cC50xcomp(U_392)
& cC32xcomp(U_392) )
| ~ cC52(U_392) ) ),
inference(miniscope,[status(thm)],[f_92_2]) ).
cnf(f_92_4,plain,
( cC32xcomp(U_392)
| ~ cC52(U_392) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_5,plain,
( cC50xcomp(U_392)
| ~ cC52(U_392) ),
inference(clausify,[status(thm)],[f_92_3]) ).
cnf(f_92_6,plain,
( cC52(U_393)
| ~ cC50xcomp(U_393)
| ~ cC32xcomp(U_393) ),
inference(clausify,[status(thm)],[f_92_3]) ).
fof(f_93_1,plain,
! [X] :
( ( cC54(X)
| ~ cC52(X)
| ~ cC14(X) )
& ( ( cC52(X)
& cC14(X) )
| ~ cC54(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_92]) ).
fof(f_93_2,plain,
! [U_394] :
( ( cC54(U_394)
| ~ cC52(U_394)
| ~ cC14(U_394) )
& ( ( cC52(U_394)
& cC14(U_394) )
| ~ cC54(U_394) ) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
( ! [U_396] :
( cC54(U_396)
| ~ cC52(U_396)
| ~ cC14(U_396) )
& ! [U_395] :
( ( cC52(U_395)
& cC14(U_395) )
| ~ cC54(U_395) ) ),
inference(miniscope,[status(thm)],[f_93_2]) ).
cnf(f_93_4,plain,
( cC14(U_395)
| ~ cC54(U_395) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_5,plain,
( cC52(U_395)
| ~ cC54(U_395) ),
inference(clausify,[status(thm)],[f_93_3]) ).
cnf(f_93_6,plain,
( cC54(U_396)
| ~ cC52(U_396)
| ~ cC14(U_396) ),
inference(clausify,[status(thm)],[f_93_3]) ).
fof(f_94_1,plain,
! [X] :
( ( cC56(X)
| ~ cC10xcomp(X)
| ~ cC4(X) )
& ( ( cC10xcomp(X)
& cC4(X) )
| ~ cC56(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_93]) ).
fof(f_94_2,plain,
! [U_397] :
( ( cC56(U_397)
| ~ cC10xcomp(U_397)
| ~ cC4(U_397) )
& ( ( cC10xcomp(U_397)
& cC4(U_397) )
| ~ cC56(U_397) ) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
( ! [U_399] :
( cC56(U_399)
| ~ cC10xcomp(U_399)
| ~ cC4(U_399) )
& ! [U_398] :
( ( cC10xcomp(U_398)
& cC4(U_398) )
| ~ cC56(U_398) ) ),
inference(miniscope,[status(thm)],[f_94_2]) ).
cnf(f_94_4,plain,
( cC4(U_398)
| ~ cC56(U_398) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_5,plain,
( cC10xcomp(U_398)
| ~ cC56(U_398) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_6,plain,
( cC56(U_399)
| ~ cC10xcomp(U_399)
| ~ cC4(U_399) ),
inference(clausify,[status(thm)],[f_94_3]) ).
fof(f_95_1,plain,
! [X] :
( ( cC58(X)
| ~ cC56(X)
| ~ cC34(X) )
& ( ( cC56(X)
& cC34(X) )
| ~ cC58(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_94]) ).
fof(f_95_2,plain,
! [U_400] :
( ( cC58(U_400)
| ~ cC56(U_400)
| ~ cC34(U_400) )
& ( ( cC56(U_400)
& cC34(U_400) )
| ~ cC58(U_400) ) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
( ! [U_402] :
( cC58(U_402)
| ~ cC56(U_402)
| ~ cC34(U_402) )
& ! [U_401] :
( ( cC56(U_401)
& cC34(U_401) )
| ~ cC58(U_401) ) ),
inference(miniscope,[status(thm)],[f_95_2]) ).
cnf(f_95_4,plain,
( cC34(U_401)
| ~ cC58(U_401) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_5,plain,
( cC56(U_401)
| ~ cC58(U_401) ),
inference(clausify,[status(thm)],[f_95_3]) ).
cnf(f_95_6,plain,
( cC58(U_402)
| ~ cC56(U_402)
| ~ cC34(U_402) ),
inference(clausify,[status(thm)],[f_95_3]) ).
fof(f_96_1,plain,
! [X] :
( ( cC6(X)
| ~ cC4xcomp(X)
| ~ cC2(X) )
& ( ( cC4xcomp(X)
& cC2(X) )
| ~ cC6(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_95]) ).
fof(f_96_2,plain,
! [U_403] :
( ( cC6(U_403)
| ~ cC4xcomp(U_403)
| ~ cC2(U_403) )
& ( ( cC4xcomp(U_403)
& cC2(U_403) )
| ~ cC6(U_403) ) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
( ! [U_405] :
( cC6(U_405)
| ~ cC4xcomp(U_405)
| ~ cC2(U_405) )
& ! [U_404] :
( ( cC4xcomp(U_404)
& cC2(U_404) )
| ~ cC6(U_404) ) ),
inference(miniscope,[status(thm)],[f_96_2]) ).
cnf(f_96_4,plain,
( cC2(U_404)
| ~ cC6(U_404) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_5,plain,
( cC4xcomp(U_404)
| ~ cC6(U_404) ),
inference(clausify,[status(thm)],[f_96_3]) ).
cnf(f_96_6,plain,
( cC6(U_405)
| ~ cC4xcomp(U_405)
| ~ cC2(U_405) ),
inference(clausify,[status(thm)],[f_96_3]) ).
fof(f_97_1,plain,
! [X] :
( ( cC60(X)
| ! [Y] :
( ~ cC58(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC58(Y)
& rR1(X,Y) )
| ~ cC60(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_96]) ).
fof(f_97_2,plain,
! [U_408] :
( ( cC60(U_408)
| ! [U_407] :
( ~ cC58(U_407)
| ~ rR1(U_408,U_407) ) )
& ( ? [U_406] :
( cC58(U_406)
& rR1(U_408,U_406) )
| ~ cC60(U_408) ) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
( ! [U_410] :
( cC60(U_410)
| ! [U_407] :
( ~ cC58(U_407)
| ~ rR1(U_410,U_407) ) )
& ! [U_409] :
( ? [U_406] :
( cC58(U_406)
& rR1(U_409,U_406) )
| ~ cC60(U_409) ) ),
inference(miniscope,[status(thm)],[f_97_2]) ).
fof(f_97_4,plain,
( ! [U_410] :
( cC60(U_410)
| ! [U_407] :
( ~ cC58(U_407)
| ~ rR1(U_410,U_407) ) )
& ! [U_409] :
( ( cC58(sK60(U_409))
& rR1(U_409,sK60(U_409)) )
| ~ cC60(U_409) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(U_406,sK60(U_409))],[f_97_3]) ).
cnf(f_97_5,plain,
( rR1(U_409,sK60(U_409))
| ~ cC60(U_409) ),
inference(clausify,[status(thm)],[f_97_4]) ).
cnf(f_97_6,plain,
( cC58(sK60(U_409))
| ~ cC60(U_409) ),
inference(clausify,[status(thm)],[f_97_4]) ).
cnf(f_97_7,plain,
( cC60(U_410)
| ~ cC58(U_407)
| ~ rR1(U_410,U_407) ),
inference(clausify,[status(thm)],[f_97_4]) ).
fof(f_98_1,plain,
! [X] :
( ( cC62(X)
| ~ cC10xcomp(X)
| ~ cC4(X) )
& ( ( cC10xcomp(X)
& cC4(X) )
| ~ cC62(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_97]) ).
fof(f_98_2,plain,
! [U_411] :
( ( cC62(U_411)
| ~ cC10xcomp(U_411)
| ~ cC4(U_411) )
& ( ( cC10xcomp(U_411)
& cC4(U_411) )
| ~ cC62(U_411) ) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
fof(f_98_3,plain,
( ! [U_413] :
( cC62(U_413)
| ~ cC10xcomp(U_413)
| ~ cC4(U_413) )
& ! [U_412] :
( ( cC10xcomp(U_412)
& cC4(U_412) )
| ~ cC62(U_412) ) ),
inference(miniscope,[status(thm)],[f_98_2]) ).
cnf(f_98_4,plain,
( cC4(U_412)
| ~ cC62(U_412) ),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_5,plain,
( cC10xcomp(U_412)
| ~ cC62(U_412) ),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_6,plain,
( cC62(U_413)
| ~ cC10xcomp(U_413)
| ~ cC4(U_413) ),
inference(clausify,[status(thm)],[f_98_3]) ).
fof(f_99_1,plain,
! [X] :
( ( cC64(X)
| ~ cC62(X)
| ~ cC34xcomp(X) )
& ( ( cC62(X)
& cC34xcomp(X) )
| ~ cC64(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_98]) ).
fof(f_99_2,plain,
! [U_414] :
( ( cC64(U_414)
| ~ cC62(U_414)
| ~ cC34xcomp(U_414) )
& ( ( cC62(U_414)
& cC34xcomp(U_414) )
| ~ cC64(U_414) ) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
( ! [U_416] :
( cC64(U_416)
| ~ cC62(U_416)
| ~ cC34xcomp(U_416) )
& ! [U_415] :
( ( cC62(U_415)
& cC34xcomp(U_415) )
| ~ cC64(U_415) ) ),
inference(miniscope,[status(thm)],[f_99_2]) ).
cnf(f_99_4,plain,
( cC34xcomp(U_415)
| ~ cC64(U_415) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_5,plain,
( cC62(U_415)
| ~ cC64(U_415) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_6,plain,
( cC64(U_416)
| ~ cC62(U_416)
| ~ cC34xcomp(U_416) ),
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_1,plain,
! [X] :
( ( cC66(X)
| ! [Y] :
( ~ cC64(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC64(Y)
& rR1(X,Y) )
| ~ cC66(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_99]) ).
fof(f_100_2,plain,
! [U_419] :
( ( cC66(U_419)
| ! [U_418] :
( ~ cC64(U_418)
| ~ rR1(U_419,U_418) ) )
& ( ? [U_417] :
( cC64(U_417)
& rR1(U_419,U_417) )
| ~ cC66(U_419) ) ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
( ! [U_421] :
( cC66(U_421)
| ! [U_418] :
( ~ cC64(U_418)
| ~ rR1(U_421,U_418) ) )
& ! [U_420] :
( ? [U_417] :
( cC64(U_417)
& rR1(U_420,U_417) )
| ~ cC66(U_420) ) ),
inference(miniscope,[status(thm)],[f_100_2]) ).
fof(f_100_4,plain,
( ! [U_421] :
( cC66(U_421)
| ! [U_418] :
( ~ cC64(U_418)
| ~ rR1(U_421,U_418) ) )
& ! [U_420] :
( ( cC64(sK61(U_420))
& rR1(U_420,sK61(U_420)) )
| ~ cC66(U_420) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(U_417,sK61(U_420))],[f_100_3]) ).
cnf(f_100_5,plain,
( rR1(U_420,sK61(U_420))
| ~ cC66(U_420) ),
inference(clausify,[status(thm)],[f_100_4]) ).
cnf(f_100_6,plain,
( cC64(sK61(U_420))
| ~ cC66(U_420) ),
inference(clausify,[status(thm)],[f_100_4]) ).
cnf(f_100_7,plain,
( cC66(U_421)
| ~ cC64(U_418)
| ~ rR1(U_421,U_418) ),
inference(clausify,[status(thm)],[f_100_4]) ).
fof(f_101_1,plain,
! [X] :
( ( cC68(X)
| ~ cC60(X)
| ~ cC66(X) )
& ( ( cC60(X)
& cC66(X) )
| ~ cC68(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_100]) ).
fof(f_101_2,plain,
! [U_422] :
( ( cC68(U_422)
| ~ cC60(U_422)
| ~ cC66(U_422) )
& ( ( cC60(U_422)
& cC66(U_422) )
| ~ cC68(U_422) ) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
( ! [U_424] :
( cC68(U_424)
| ~ cC60(U_424)
| ~ cC66(U_424) )
& ! [U_423] :
( ( cC60(U_423)
& cC66(U_423) )
| ~ cC68(U_423) ) ),
inference(miniscope,[status(thm)],[f_101_2]) ).
cnf(f_101_4,plain,
( cC66(U_423)
| ~ cC68(U_423) ),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_5,plain,
( cC60(U_423)
| ~ cC68(U_423) ),
inference(clausify,[status(thm)],[f_101_3]) ).
cnf(f_101_6,plain,
( cC68(U_424)
| ~ cC60(U_424)
| ~ cC66(U_424) ),
inference(clausify,[status(thm)],[f_101_3]) ).
fof(f_102_1,plain,
! [X] :
( ( cC68(X)
| ! [Y0] : ~ ra_Px20(X,Y0) )
& ( ? [Y0] : ra_Px20(X,Y0)
| ~ cC68(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_101]) ).
fof(f_102_2,plain,
! [U_427] :
( ( cC68(U_427)
| ! [U_426] : ~ ra_Px20(U_427,U_426) )
& ( ? [U_425] : ra_Px20(U_427,U_425)
| ~ cC68(U_427) ) ),
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
( ! [U_429] :
( cC68(U_429)
| ! [U_426] : ~ ra_Px20(U_429,U_426) )
& ! [U_428] :
( ? [U_425] : ra_Px20(U_428,U_425)
| ~ cC68(U_428) ) ),
inference(miniscope,[status(thm)],[f_102_2]) ).
fof(f_102_4,plain,
( ! [U_429] :
( cC68(U_429)
| ! [U_426] : ~ ra_Px20(U_429,U_426) )
& ! [U_428] :
( ra_Px20(U_428,sK62(U_428))
| ~ cC68(U_428) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(U_425,sK62(U_428))],[f_102_3]) ).
cnf(f_102_5,plain,
( ra_Px20(U_428,sK62(U_428))
| ~ cC68(U_428) ),
inference(clausify,[status(thm)],[f_102_4]) ).
cnf(f_102_6,plain,
( cC68(U_429)
| ~ ra_Px20(U_429,U_426) ),
inference(clausify,[status(thm)],[f_102_4]) ).
fof(f_103_1,plain,
! [X] :
( ( cC68xcomp(X)
| ? [Y] : ra_Px20(X,Y) )
& ( ! [Y] : ~ ra_Px20(X,Y)
| ~ cC68xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_102]) ).
fof(f_103_2,plain,
! [U_432] :
( ( cC68xcomp(U_432)
| ? [U_431] : ra_Px20(U_432,U_431) )
& ( ! [U_430] : ~ ra_Px20(U_432,U_430)
| ~ cC68xcomp(U_432) ) ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
fof(f_103_3,plain,
( ! [U_434] :
( cC68xcomp(U_434)
| ? [U_431] : ra_Px20(U_434,U_431) )
& ! [U_433] :
( ! [U_430] : ~ ra_Px20(U_433,U_430)
| ~ cC68xcomp(U_433) ) ),
inference(miniscope,[status(thm)],[f_103_2]) ).
fof(f_103_4,plain,
( ! [U_434] :
( cC68xcomp(U_434)
| ra_Px20(U_434,sK63(U_434)) )
& ! [U_433] :
( ! [U_430] : ~ ra_Px20(U_433,U_430)
| ~ cC68xcomp(U_433) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(U_431,sK63(U_434))],[f_103_3]) ).
cnf(f_103_5,plain,
( ~ ra_Px20(U_433,U_430)
| ~ cC68xcomp(U_433) ),
inference(clausify,[status(thm)],[f_103_4]) ).
cnf(f_103_6,plain,
( cC68xcomp(U_434)
| ra_Px20(U_434,sK63(U_434)) ),
inference(clausify,[status(thm)],[f_103_4]) ).
fof(f_104_1,plain,
! [X] :
( ( cC70(X)
| ~ cC4xcomp(X)
| ~ cC2(X) )
& ( ( cC4xcomp(X)
& cC2(X) )
| ~ cC70(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_103]) ).
fof(f_104_2,plain,
! [U_435] :
( ( cC70(U_435)
| ~ cC4xcomp(U_435)
| ~ cC2(U_435) )
& ( ( cC4xcomp(U_435)
& cC2(U_435) )
| ~ cC70(U_435) ) ),
inference(variable_rename,[status(thm)],[f_104_1]) ).
fof(f_104_3,plain,
( ! [U_437] :
( cC70(U_437)
| ~ cC4xcomp(U_437)
| ~ cC2(U_437) )
& ! [U_436] :
( ( cC4xcomp(U_436)
& cC2(U_436) )
| ~ cC70(U_436) ) ),
inference(miniscope,[status(thm)],[f_104_2]) ).
cnf(f_104_4,plain,
( cC2(U_436)
| ~ cC70(U_436) ),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_5,plain,
( cC4xcomp(U_436)
| ~ cC70(U_436) ),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_6,plain,
( cC70(U_437)
| ~ cC4xcomp(U_437)
| ~ cC2(U_437) ),
inference(clausify,[status(thm)],[f_104_3]) ).
fof(f_105_1,plain,
! [X] :
( ( cC72(X)
| ! [Y0] : ~ ra_Px21(X,Y0) )
& ( ? [Y0] : ra_Px21(X,Y0)
| ~ cC72(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_104]) ).
fof(f_105_2,plain,
! [U_440] :
( ( cC72(U_440)
| ! [U_439] : ~ ra_Px21(U_440,U_439) )
& ( ? [U_438] : ra_Px21(U_440,U_438)
| ~ cC72(U_440) ) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
( ! [U_442] :
( cC72(U_442)
| ! [U_439] : ~ ra_Px21(U_442,U_439) )
& ! [U_441] :
( ? [U_438] : ra_Px21(U_441,U_438)
| ~ cC72(U_441) ) ),
inference(miniscope,[status(thm)],[f_105_2]) ).
fof(f_105_4,plain,
( ! [U_442] :
( cC72(U_442)
| ! [U_439] : ~ ra_Px21(U_442,U_439) )
& ! [U_441] :
( ra_Px21(U_441,sK64(U_441))
| ~ cC72(U_441) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(U_438,sK64(U_441))],[f_105_3]) ).
cnf(f_105_5,plain,
( ra_Px21(U_441,sK64(U_441))
| ~ cC72(U_441) ),
inference(clausify,[status(thm)],[f_105_4]) ).
cnf(f_105_6,plain,
( cC72(U_442)
| ~ ra_Px21(U_442,U_439) ),
inference(clausify,[status(thm)],[f_105_4]) ).
fof(f_106_1,plain,
! [X] :
( ( cC72(X)
| ~ cC68xcomp(X)
| ~ cC70(X) )
& ( ( cC68xcomp(X)
& cC70(X) )
| ~ cC72(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_105]) ).
fof(f_106_2,plain,
! [U_443] :
( ( cC72(U_443)
| ~ cC68xcomp(U_443)
| ~ cC70(U_443) )
& ( ( cC68xcomp(U_443)
& cC70(U_443) )
| ~ cC72(U_443) ) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
( ! [U_445] :
( cC72(U_445)
| ~ cC68xcomp(U_445)
| ~ cC70(U_445) )
& ! [U_444] :
( ( cC68xcomp(U_444)
& cC70(U_444) )
| ~ cC72(U_444) ) ),
inference(miniscope,[status(thm)],[f_106_2]) ).
cnf(f_106_4,plain,
( cC70(U_444)
| ~ cC72(U_444) ),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_5,plain,
( cC68xcomp(U_444)
| ~ cC72(U_444) ),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_6,plain,
( cC72(U_445)
| ~ cC68xcomp(U_445)
| ~ cC70(U_445) ),
inference(clausify,[status(thm)],[f_106_3]) ).
fof(f_107_1,plain,
! [X] :
( ( cC72xcomp(X)
| ? [Y] : ra_Px21(X,Y) )
& ( ! [Y] : ~ ra_Px21(X,Y)
| ~ cC72xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_106]) ).
fof(f_107_2,plain,
! [U_448] :
( ( cC72xcomp(U_448)
| ? [U_447] : ra_Px21(U_448,U_447) )
& ( ! [U_446] : ~ ra_Px21(U_448,U_446)
| ~ cC72xcomp(U_448) ) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
fof(f_107_3,plain,
( ! [U_450] :
( cC72xcomp(U_450)
| ? [U_447] : ra_Px21(U_450,U_447) )
& ! [U_449] :
( ! [U_446] : ~ ra_Px21(U_449,U_446)
| ~ cC72xcomp(U_449) ) ),
inference(miniscope,[status(thm)],[f_107_2]) ).
fof(f_107_4,plain,
( ! [U_450] :
( cC72xcomp(U_450)
| ra_Px21(U_450,sK65(U_450)) )
& ! [U_449] :
( ! [U_446] : ~ ra_Px21(U_449,U_446)
| ~ cC72xcomp(U_449) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(U_447,sK65(U_450))],[f_107_3]) ).
cnf(f_107_5,plain,
( ~ ra_Px21(U_449,U_446)
| ~ cC72xcomp(U_449) ),
inference(clausify,[status(thm)],[f_107_4]) ).
cnf(f_107_6,plain,
( cC72xcomp(U_450)
| ra_Px21(U_450,sK65(U_450)) ),
inference(clausify,[status(thm)],[f_107_4]) ).
fof(f_108_1,plain,
! [X] :
( ( cC74(X)
| ~ cC72xcomp(X)
| ~ cC54(X) )
& ( ( cC72xcomp(X)
& cC54(X) )
| ~ cC74(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_107]) ).
fof(f_108_2,plain,
! [U_451] :
( ( cC74(U_451)
| ~ cC72xcomp(U_451)
| ~ cC54(U_451) )
& ( ( cC72xcomp(U_451)
& cC54(U_451) )
| ~ cC74(U_451) ) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
fof(f_108_3,plain,
( ! [U_453] :
( cC74(U_453)
| ~ cC72xcomp(U_453)
| ~ cC54(U_453) )
& ! [U_452] :
( ( cC72xcomp(U_452)
& cC54(U_452) )
| ~ cC74(U_452) ) ),
inference(miniscope,[status(thm)],[f_108_2]) ).
cnf(f_108_4,plain,
( cC54(U_452)
| ~ cC74(U_452) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_5,plain,
( cC72xcomp(U_452)
| ~ cC74(U_452) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_6,plain,
( cC74(U_453)
| ~ cC72xcomp(U_453)
| ~ cC54(U_453) ),
inference(clausify,[status(thm)],[f_108_3]) ).
fof(f_109_1,plain,
! [X] :
( ( cC76(X)
| ! [Y0] : ~ ra_Px24(X,Y0) )
& ( ? [Y0] : ra_Px24(X,Y0)
| ~ cC76(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_108]) ).
fof(f_109_2,plain,
! [U_456] :
( ( cC76(U_456)
| ! [U_455] : ~ ra_Px24(U_456,U_455) )
& ( ? [U_454] : ra_Px24(U_456,U_454)
| ~ cC76(U_456) ) ),
inference(variable_rename,[status(thm)],[f_109_1]) ).
fof(f_109_3,plain,
( ! [U_458] :
( cC76(U_458)
| ! [U_455] : ~ ra_Px24(U_458,U_455) )
& ! [U_457] :
( ? [U_454] : ra_Px24(U_457,U_454)
| ~ cC76(U_457) ) ),
inference(miniscope,[status(thm)],[f_109_2]) ).
fof(f_109_4,plain,
( ! [U_458] :
( cC76(U_458)
| ! [U_455] : ~ ra_Px24(U_458,U_455) )
& ! [U_457] :
( ra_Px24(U_457,sK66(U_457))
| ~ cC76(U_457) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66]),skolemize(U_454,sK66(U_457))],[f_109_3]) ).
cnf(f_109_5,plain,
( ra_Px24(U_457,sK66(U_457))
| ~ cC76(U_457) ),
inference(clausify,[status(thm)],[f_109_4]) ).
cnf(f_109_6,plain,
( cC76(U_458)
| ~ ra_Px24(U_458,U_455) ),
inference(clausify,[status(thm)],[f_109_4]) ).
fof(f_110_1,plain,
! [X] :
( ( cC76(X)
| ~ cC2xcomp(X)
| ~ cC4(X) )
& ( ( cC2xcomp(X)
& cC4(X) )
| ~ cC76(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_109]) ).
fof(f_110_2,plain,
! [U_459] :
( ( cC76(U_459)
| ~ cC2xcomp(U_459)
| ~ cC4(U_459) )
& ( ( cC2xcomp(U_459)
& cC4(U_459) )
| ~ cC76(U_459) ) ),
inference(variable_rename,[status(thm)],[f_110_1]) ).
fof(f_110_3,plain,
( ! [U_461] :
( cC76(U_461)
| ~ cC2xcomp(U_461)
| ~ cC4(U_461) )
& ! [U_460] :
( ( cC2xcomp(U_460)
& cC4(U_460) )
| ~ cC76(U_460) ) ),
inference(miniscope,[status(thm)],[f_110_2]) ).
cnf(f_110_4,plain,
( cC4(U_460)
| ~ cC76(U_460) ),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_110_5,plain,
( cC2xcomp(U_460)
| ~ cC76(U_460) ),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_110_6,plain,
( cC76(U_461)
| ~ cC2xcomp(U_461)
| ~ cC4(U_461) ),
inference(clausify,[status(thm)],[f_110_3]) ).
fof(f_111_1,plain,
! [X] :
( ( cC76xcomp(X)
| ? [Y] : ra_Px24(X,Y) )
& ( ! [Y] : ~ ra_Px24(X,Y)
| ~ cC76xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_110]) ).
fof(f_111_2,plain,
! [U_464] :
( ( cC76xcomp(U_464)
| ? [U_463] : ra_Px24(U_464,U_463) )
& ( ! [U_462] : ~ ra_Px24(U_464,U_462)
| ~ cC76xcomp(U_464) ) ),
inference(variable_rename,[status(thm)],[f_111_1]) ).
fof(f_111_3,plain,
( ! [U_466] :
( cC76xcomp(U_466)
| ? [U_463] : ra_Px24(U_466,U_463) )
& ! [U_465] :
( ! [U_462] : ~ ra_Px24(U_465,U_462)
| ~ cC76xcomp(U_465) ) ),
inference(miniscope,[status(thm)],[f_111_2]) ).
fof(f_111_4,plain,
( ! [U_466] :
( cC76xcomp(U_466)
| ra_Px24(U_466,sK67(U_466)) )
& ! [U_465] :
( ! [U_462] : ~ ra_Px24(U_465,U_462)
| ~ cC76xcomp(U_465) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(U_463,sK67(U_466))],[f_111_3]) ).
cnf(f_111_5,plain,
( ~ ra_Px24(U_465,U_462)
| ~ cC76xcomp(U_465) ),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_6,plain,
( cC76xcomp(U_466)
| ra_Px24(U_466,sK67(U_466)) ),
inference(clausify,[status(thm)],[f_111_4]) ).
fof(f_112_1,plain,
! [X] :
( ( cC78(X)
| ~ cC4xcomp(X)
| ~ cC10(X) )
& ( ( cC4xcomp(X)
& cC10(X) )
| ~ cC78(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_111]) ).
fof(f_112_2,plain,
! [U_467] :
( ( cC78(U_467)
| ~ cC4xcomp(U_467)
| ~ cC10(U_467) )
& ( ( cC4xcomp(U_467)
& cC10(U_467) )
| ~ cC78(U_467) ) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
( ! [U_469] :
( cC78(U_469)
| ~ cC4xcomp(U_469)
| ~ cC10(U_469) )
& ! [U_468] :
( ( cC4xcomp(U_468)
& cC10(U_468) )
| ~ cC78(U_468) ) ),
inference(miniscope,[status(thm)],[f_112_2]) ).
cnf(f_112_4,plain,
( cC10(U_468)
| ~ cC78(U_468) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_5,plain,
( cC4xcomp(U_468)
| ~ cC78(U_468) ),
inference(clausify,[status(thm)],[f_112_3]) ).
cnf(f_112_6,plain,
( cC78(U_469)
| ~ cC4xcomp(U_469)
| ~ cC10(U_469) ),
inference(clausify,[status(thm)],[f_112_3]) ).
fof(f_113_1,plain,
! [X] :
( ( cC78(X)
| ? [Y] : ra_Px25(X,Y) )
& ( ! [Y] : ~ ra_Px25(X,Y)
| ~ cC78(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_112]) ).
fof(f_113_2,plain,
! [U_472] :
( ( cC78(U_472)
| ? [U_471] : ra_Px25(U_472,U_471) )
& ( ! [U_470] : ~ ra_Px25(U_472,U_470)
| ~ cC78(U_472) ) ),
inference(variable_rename,[status(thm)],[f_113_1]) ).
fof(f_113_3,plain,
( ! [U_474] :
( cC78(U_474)
| ? [U_471] : ra_Px25(U_474,U_471) )
& ! [U_473] :
( ! [U_470] : ~ ra_Px25(U_473,U_470)
| ~ cC78(U_473) ) ),
inference(miniscope,[status(thm)],[f_113_2]) ).
fof(f_113_4,plain,
( ! [U_474] :
( cC78(U_474)
| ra_Px25(U_474,sK68(U_474)) )
& ! [U_473] :
( ! [U_470] : ~ ra_Px25(U_473,U_470)
| ~ cC78(U_473) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(U_471,sK68(U_474))],[f_113_3]) ).
cnf(f_113_5,plain,
( ~ ra_Px25(U_473,U_470)
| ~ cC78(U_473) ),
inference(clausify,[status(thm)],[f_113_4]) ).
cnf(f_113_6,plain,
( cC78(U_474)
| ra_Px25(U_474,sK68(U_474)) ),
inference(clausify,[status(thm)],[f_113_4]) ).
fof(f_114_1,plain,
! [X] :
( ( cC78xcomp(X)
| ! [Y0] : ~ ra_Px25(X,Y0) )
& ( ? [Y0] : ra_Px25(X,Y0)
| ~ cC78xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_113]) ).
fof(f_114_2,plain,
! [U_477] :
( ( cC78xcomp(U_477)
| ! [U_476] : ~ ra_Px25(U_477,U_476) )
& ( ? [U_475] : ra_Px25(U_477,U_475)
| ~ cC78xcomp(U_477) ) ),
inference(variable_rename,[status(thm)],[f_114_1]) ).
fof(f_114_3,plain,
( ! [U_479] :
( cC78xcomp(U_479)
| ! [U_476] : ~ ra_Px25(U_479,U_476) )
& ! [U_478] :
( ? [U_475] : ra_Px25(U_478,U_475)
| ~ cC78xcomp(U_478) ) ),
inference(miniscope,[status(thm)],[f_114_2]) ).
fof(f_114_4,plain,
( ! [U_479] :
( cC78xcomp(U_479)
| ! [U_476] : ~ ra_Px25(U_479,U_476) )
& ! [U_478] :
( ra_Px25(U_478,sK69(U_478))
| ~ cC78xcomp(U_478) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(U_475,sK69(U_478))],[f_114_3]) ).
cnf(f_114_5,plain,
( ra_Px25(U_478,sK69(U_478))
| ~ cC78xcomp(U_478) ),
inference(clausify,[status(thm)],[f_114_4]) ).
cnf(f_114_6,plain,
( cC78xcomp(U_479)
| ~ ra_Px25(U_479,U_476) ),
inference(clausify,[status(thm)],[f_114_4]) ).
fof(f_115_1,plain,
! [X] :
( ( cC8(X)
| ! [Y0] : ~ ra_Px2(X,Y0) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ cC8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_114]) ).
fof(f_115_2,plain,
! [U_482] :
( ( cC8(U_482)
| ! [U_481] : ~ ra_Px2(U_482,U_481) )
& ( ? [U_480] : ra_Px2(U_482,U_480)
| ~ cC8(U_482) ) ),
inference(variable_rename,[status(thm)],[f_115_1]) ).
fof(f_115_3,plain,
( ! [U_484] :
( cC8(U_484)
| ! [U_481] : ~ ra_Px2(U_484,U_481) )
& ! [U_483] :
( ? [U_480] : ra_Px2(U_483,U_480)
| ~ cC8(U_483) ) ),
inference(miniscope,[status(thm)],[f_115_2]) ).
fof(f_115_4,plain,
( ! [U_484] :
( cC8(U_484)
| ! [U_481] : ~ ra_Px2(U_484,U_481) )
& ! [U_483] :
( ra_Px2(U_483,sK70(U_483))
| ~ cC8(U_483) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(U_480,sK70(U_483))],[f_115_3]) ).
cnf(f_115_5,plain,
( ra_Px2(U_483,sK70(U_483))
| ~ cC8(U_483) ),
inference(clausify,[status(thm)],[f_115_4]) ).
cnf(f_115_6,plain,
( cC8(U_484)
| ~ ra_Px2(U_484,U_481) ),
inference(clausify,[status(thm)],[f_115_4]) ).
fof(f_116_1,plain,
! [X] :
( ( cC8(X)
| ~ cC2xcomp(X)
| ~ cC4(X) )
& ( ( cC2xcomp(X)
& cC4(X) )
| ~ cC8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_115]) ).
fof(f_116_2,plain,
! [U_485] :
( ( cC8(U_485)
| ~ cC2xcomp(U_485)
| ~ cC4(U_485) )
& ( ( cC2xcomp(U_485)
& cC4(U_485) )
| ~ cC8(U_485) ) ),
inference(variable_rename,[status(thm)],[f_116_1]) ).
fof(f_116_3,plain,
( ! [U_487] :
( cC8(U_487)
| ~ cC2xcomp(U_487)
| ~ cC4(U_487) )
& ! [U_486] :
( ( cC2xcomp(U_486)
& cC4(U_486) )
| ~ cC8(U_486) ) ),
inference(miniscope,[status(thm)],[f_116_2]) ).
cnf(f_116_4,plain,
( cC4(U_486)
| ~ cC8(U_486) ),
inference(clausify,[status(thm)],[f_116_3]) ).
cnf(f_116_5,plain,
( cC2xcomp(U_486)
| ~ cC8(U_486) ),
inference(clausify,[status(thm)],[f_116_3]) ).
cnf(f_116_6,plain,
( cC8(U_487)
| ~ cC2xcomp(U_487)
| ~ cC4(U_487) ),
inference(clausify,[status(thm)],[f_116_3]) ).
fof(f_117_1,plain,
! [X] :
( ( cC8xcomp(X)
| ? [Y] : ra_Px2(X,Y) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ cC8xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_116]) ).
fof(f_117_2,plain,
! [U_490] :
( ( cC8xcomp(U_490)
| ? [U_489] : ra_Px2(U_490,U_489) )
& ( ! [U_488] : ~ ra_Px2(U_490,U_488)
| ~ cC8xcomp(U_490) ) ),
inference(variable_rename,[status(thm)],[f_117_1]) ).
fof(f_117_3,plain,
( ! [U_492] :
( cC8xcomp(U_492)
| ? [U_489] : ra_Px2(U_492,U_489) )
& ! [U_491] :
( ! [U_488] : ~ ra_Px2(U_491,U_488)
| ~ cC8xcomp(U_491) ) ),
inference(miniscope,[status(thm)],[f_117_2]) ).
fof(f_117_4,plain,
( ! [U_492] :
( cC8xcomp(U_492)
| ra_Px2(U_492,sK71(U_492)) )
& ! [U_491] :
( ! [U_488] : ~ ra_Px2(U_491,U_488)
| ~ cC8xcomp(U_491) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(U_489,sK71(U_492))],[f_117_3]) ).
cnf(f_117_5,plain,
( ~ ra_Px2(U_491,U_488)
| ~ cC8xcomp(U_491) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_6,plain,
( cC8xcomp(U_492)
| ra_Px2(U_492,sK71(U_492)) ),
inference(clausify,[status(thm)],[f_117_4]) ).
fof(f_118_1,plain,
! [X] :
( ( cC80(X)
| ~ cC76xcomp(X)
| ~ cC78xcomp(X) )
& ( ( cC76xcomp(X)
& cC78xcomp(X) )
| ~ cC80(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_117]) ).
fof(f_118_2,plain,
! [U_493] :
( ( cC80(U_493)
| ~ cC76xcomp(U_493)
| ~ cC78xcomp(U_493) )
& ( ( cC76xcomp(U_493)
& cC78xcomp(U_493) )
| ~ cC80(U_493) ) ),
inference(variable_rename,[status(thm)],[f_118_1]) ).
fof(f_118_3,plain,
( ! [U_495] :
( cC80(U_495)
| ~ cC76xcomp(U_495)
| ~ cC78xcomp(U_495) )
& ! [U_494] :
( ( cC76xcomp(U_494)
& cC78xcomp(U_494) )
| ~ cC80(U_494) ) ),
inference(miniscope,[status(thm)],[f_118_2]) ).
cnf(f_118_4,plain,
( cC78xcomp(U_494)
| ~ cC80(U_494) ),
inference(clausify,[status(thm)],[f_118_3]) ).
cnf(f_118_5,plain,
( cC76xcomp(U_494)
| ~ cC80(U_494) ),
inference(clausify,[status(thm)],[f_118_3]) ).
cnf(f_118_6,plain,
( cC80(U_495)
| ~ cC76xcomp(U_495)
| ~ cC78xcomp(U_495) ),
inference(clausify,[status(thm)],[f_118_3]) ).
fof(f_119_1,plain,
! [X] :
( ( cC82(X)
| ! [Y0] : ~ ra_Px65(X,Y0) )
& ( ? [Y0] : ra_Px65(X,Y0)
| ~ cC82(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_118]) ).
fof(f_119_2,plain,
! [U_498] :
( ( cC82(U_498)
| ! [U_497] : ~ ra_Px65(U_498,U_497) )
& ( ? [U_496] : ra_Px65(U_498,U_496)
| ~ cC82(U_498) ) ),
inference(variable_rename,[status(thm)],[f_119_1]) ).
fof(f_119_3,plain,
( ! [U_500] :
( cC82(U_500)
| ! [U_497] : ~ ra_Px65(U_500,U_497) )
& ! [U_499] :
( ? [U_496] : ra_Px65(U_499,U_496)
| ~ cC82(U_499) ) ),
inference(miniscope,[status(thm)],[f_119_2]) ).
fof(f_119_4,plain,
( ! [U_500] :
( cC82(U_500)
| ! [U_497] : ~ ra_Px65(U_500,U_497) )
& ! [U_499] :
( ra_Px65(U_499,sK72(U_499))
| ~ cC82(U_499) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(U_496,sK72(U_499))],[f_119_3]) ).
cnf(f_119_5,plain,
( ra_Px65(U_499,sK72(U_499))
| ~ cC82(U_499) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_6,plain,
( cC82(U_500)
| ~ ra_Px65(U_500,U_497) ),
inference(clausify,[status(thm)],[f_119_4]) ).
fof(f_120_1,plain,
! [X] :
( ( cC82(X)
| ~ cC16xcomp(X)
| ~ cC2(X) )
& ( ( cC16xcomp(X)
& cC2(X) )
| ~ cC82(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_119]) ).
fof(f_120_2,plain,
! [U_501] :
( ( cC82(U_501)
| ~ cC16xcomp(U_501)
| ~ cC2(U_501) )
& ( ( cC16xcomp(U_501)
& cC2(U_501) )
| ~ cC82(U_501) ) ),
inference(variable_rename,[status(thm)],[f_120_1]) ).
fof(f_120_3,plain,
( ! [U_503] :
( cC82(U_503)
| ~ cC16xcomp(U_503)
| ~ cC2(U_503) )
& ! [U_502] :
( ( cC16xcomp(U_502)
& cC2(U_502) )
| ~ cC82(U_502) ) ),
inference(miniscope,[status(thm)],[f_120_2]) ).
cnf(f_120_4,plain,
( cC2(U_502)
| ~ cC82(U_502) ),
inference(clausify,[status(thm)],[f_120_3]) ).
cnf(f_120_5,plain,
( cC16xcomp(U_502)
| ~ cC82(U_502) ),
inference(clausify,[status(thm)],[f_120_3]) ).
cnf(f_120_6,plain,
( cC82(U_503)
| ~ cC16xcomp(U_503)
| ~ cC2(U_503) ),
inference(clausify,[status(thm)],[f_120_3]) ).
fof(f_121_1,plain,
! [X] :
( ( cC82xcomp(X)
| ? [Y] : ra_Px65(X,Y) )
& ( ! [Y] : ~ ra_Px65(X,Y)
| ~ cC82xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_120]) ).
fof(f_121_2,plain,
! [U_506] :
( ( cC82xcomp(U_506)
| ? [U_505] : ra_Px65(U_506,U_505) )
& ( ! [U_504] : ~ ra_Px65(U_506,U_504)
| ~ cC82xcomp(U_506) ) ),
inference(variable_rename,[status(thm)],[f_121_1]) ).
fof(f_121_3,plain,
( ! [U_508] :
( cC82xcomp(U_508)
| ? [U_505] : ra_Px65(U_508,U_505) )
& ! [U_507] :
( ! [U_504] : ~ ra_Px65(U_507,U_504)
| ~ cC82xcomp(U_507) ) ),
inference(miniscope,[status(thm)],[f_121_2]) ).
fof(f_121_4,plain,
( ! [U_508] :
( cC82xcomp(U_508)
| ra_Px65(U_508,sK73(U_508)) )
& ! [U_507] :
( ! [U_504] : ~ ra_Px65(U_507,U_504)
| ~ cC82xcomp(U_507) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(U_505,sK73(U_508))],[f_121_3]) ).
cnf(f_121_5,plain,
( ~ ra_Px65(U_507,U_504)
| ~ cC82xcomp(U_507) ),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_6,plain,
( cC82xcomp(U_508)
| ra_Px65(U_508,sK73(U_508)) ),
inference(clausify,[status(thm)],[f_121_4]) ).
fof(f_122_1,plain,
! [X] :
( ( cC84(X)
| ! [Y0] : ~ ra_Px53(X,Y0) )
& ( ? [Y0] : ra_Px53(X,Y0)
| ~ cC84(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_121]) ).
fof(f_122_2,plain,
! [U_511] :
( ( cC84(U_511)
| ! [U_510] : ~ ra_Px53(U_511,U_510) )
& ( ? [U_509] : ra_Px53(U_511,U_509)
| ~ cC84(U_511) ) ),
inference(variable_rename,[status(thm)],[f_122_1]) ).
fof(f_122_3,plain,
( ! [U_513] :
( cC84(U_513)
| ! [U_510] : ~ ra_Px53(U_513,U_510) )
& ! [U_512] :
( ? [U_509] : ra_Px53(U_512,U_509)
| ~ cC84(U_512) ) ),
inference(miniscope,[status(thm)],[f_122_2]) ).
fof(f_122_4,plain,
( ! [U_513] :
( cC84(U_513)
| ! [U_510] : ~ ra_Px53(U_513,U_510) )
& ! [U_512] :
( ra_Px53(U_512,sK74(U_512))
| ~ cC84(U_512) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74]),skolemize(U_509,sK74(U_512))],[f_122_3]) ).
cnf(f_122_5,plain,
( ra_Px53(U_512,sK74(U_512))
| ~ cC84(U_512) ),
inference(clausify,[status(thm)],[f_122_4]) ).
cnf(f_122_6,plain,
( cC84(U_513)
| ~ ra_Px53(U_513,U_510) ),
inference(clausify,[status(thm)],[f_122_4]) ).
fof(f_123_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_122]) ).
fof(f_123_2,plain,
! [U_516] :
( ( cC84(U_516)
| ! [U_515] :
( ~ cC82(U_515)
| ~ rR1(U_516,U_515) ) )
& ( ? [U_514] :
( cC82(U_514)
& rR1(U_516,U_514) )
| ~ cC84(U_516) ) ),
inference(variable_rename,[status(thm)],[f_123_1]) ).
fof(f_123_3,plain,
( ! [U_518] :
( cC84(U_518)
| ! [U_515] :
( ~ cC82(U_515)
| ~ rR1(U_518,U_515) ) )
& ! [U_517] :
( ? [U_514] :
( cC82(U_514)
& rR1(U_517,U_514) )
| ~ cC84(U_517) ) ),
inference(miniscope,[status(thm)],[f_123_2]) ).
fof(f_123_4,plain,
( ! [U_518] :
( cC84(U_518)
| ! [U_515] :
( ~ cC82(U_515)
| ~ rR1(U_518,U_515) ) )
& ! [U_517] :
( ( cC82(sK75(U_517))
& rR1(U_517,sK75(U_517)) )
| ~ cC84(U_517) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(U_514,sK75(U_517))],[f_123_3]) ).
cnf(f_123_5,plain,
( rR1(U_517,sK75(U_517))
| ~ cC84(U_517) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_6,plain,
( cC82(sK75(U_517))
| ~ cC84(U_517) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_7,plain,
( cC84(U_518)
| ~ cC82(U_515)
| ~ rR1(U_518,U_515) ),
inference(clausify,[status(thm)],[f_123_4]) ).
fof(f_124_1,plain,
! [X] :
( ( cC84xcomp(X)
| ? [Y] : ra_Px53(X,Y) )
& ( ! [Y] : ~ ra_Px53(X,Y)
| ~ cC84xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_123]) ).
fof(f_124_2,plain,
! [U_521] :
( ( cC84xcomp(U_521)
| ? [U_520] : ra_Px53(U_521,U_520) )
& ( ! [U_519] : ~ ra_Px53(U_521,U_519)
| ~ cC84xcomp(U_521) ) ),
inference(variable_rename,[status(thm)],[f_124_1]) ).
fof(f_124_3,plain,
( ! [U_523] :
( cC84xcomp(U_523)
| ? [U_520] : ra_Px53(U_523,U_520) )
& ! [U_522] :
( ! [U_519] : ~ ra_Px53(U_522,U_519)
| ~ cC84xcomp(U_522) ) ),
inference(miniscope,[status(thm)],[f_124_2]) ).
fof(f_124_4,plain,
( ! [U_523] :
( cC84xcomp(U_523)
| ra_Px53(U_523,sK76(U_523)) )
& ! [U_522] :
( ! [U_519] : ~ ra_Px53(U_522,U_519)
| ~ cC84xcomp(U_522) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(U_520,sK76(U_523))],[f_124_3]) ).
cnf(f_124_5,plain,
( ~ ra_Px53(U_522,U_519)
| ~ cC84xcomp(U_522) ),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_6,plain,
( cC84xcomp(U_523)
| ra_Px53(U_523,sK76(U_523)) ),
inference(clausify,[status(thm)],[f_124_4]) ).
fof(f_125_1,plain,
! [X] :
( ( cC86(X)
| ~ cC84(X)
| ~ cC16(X) )
& ( ( cC84(X)
& cC16(X) )
| ~ cC86(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_124]) ).
fof(f_125_2,plain,
! [U_524] :
( ( cC86(U_524)
| ~ cC84(U_524)
| ~ cC16(U_524) )
& ( ( cC84(U_524)
& cC16(U_524) )
| ~ cC86(U_524) ) ),
inference(variable_rename,[status(thm)],[f_125_1]) ).
fof(f_125_3,plain,
( ! [U_526] :
( cC86(U_526)
| ~ cC84(U_526)
| ~ cC16(U_526) )
& ! [U_525] :
( ( cC84(U_525)
& cC16(U_525) )
| ~ cC86(U_525) ) ),
inference(miniscope,[status(thm)],[f_125_2]) ).
cnf(f_125_4,plain,
( cC16(U_525)
| ~ cC86(U_525) ),
inference(clausify,[status(thm)],[f_125_3]) ).
cnf(f_125_5,plain,
( cC84(U_525)
| ~ cC86(U_525) ),
inference(clausify,[status(thm)],[f_125_3]) ).
cnf(f_125_6,plain,
( cC86(U_526)
| ~ cC84(U_526)
| ~ cC16(U_526) ),
inference(clausify,[status(thm)],[f_125_3]) ).
fof(f_126_1,plain,
! [X] :
( ( cC86(X)
| ? [Y] : ra_Px28(X,Y) )
& ( ! [Y] : ~ ra_Px28(X,Y)
| ~ cC86(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_125]) ).
fof(f_126_2,plain,
! [U_529] :
( ( cC86(U_529)
| ? [U_528] : ra_Px28(U_529,U_528) )
& ( ! [U_527] : ~ ra_Px28(U_529,U_527)
| ~ cC86(U_529) ) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
fof(f_126_3,plain,
( ! [U_531] :
( cC86(U_531)
| ? [U_528] : ra_Px28(U_531,U_528) )
& ! [U_530] :
( ! [U_527] : ~ ra_Px28(U_530,U_527)
| ~ cC86(U_530) ) ),
inference(miniscope,[status(thm)],[f_126_2]) ).
fof(f_126_4,plain,
( ! [U_531] :
( cC86(U_531)
| ra_Px28(U_531,sK77(U_531)) )
& ! [U_530] :
( ! [U_527] : ~ ra_Px28(U_530,U_527)
| ~ cC86(U_530) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(U_528,sK77(U_531))],[f_126_3]) ).
cnf(f_126_5,plain,
( ~ ra_Px28(U_530,U_527)
| ~ cC86(U_530) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_6,plain,
( cC86(U_531)
| ra_Px28(U_531,sK77(U_531)) ),
inference(clausify,[status(thm)],[f_126_4]) ).
fof(f_127_1,plain,
! [X] :
( ( cC86xcomp(X)
| ! [Y0] : ~ ra_Px28(X,Y0) )
& ( ? [Y0] : ra_Px28(X,Y0)
| ~ cC86xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_126]) ).
fof(f_127_2,plain,
! [U_534] :
( ( cC86xcomp(U_534)
| ! [U_533] : ~ ra_Px28(U_534,U_533) )
& ( ? [U_532] : ra_Px28(U_534,U_532)
| ~ cC86xcomp(U_534) ) ),
inference(variable_rename,[status(thm)],[f_127_1]) ).
fof(f_127_3,plain,
( ! [U_536] :
( cC86xcomp(U_536)
| ! [U_533] : ~ ra_Px28(U_536,U_533) )
& ! [U_535] :
( ? [U_532] : ra_Px28(U_535,U_532)
| ~ cC86xcomp(U_535) ) ),
inference(miniscope,[status(thm)],[f_127_2]) ).
fof(f_127_4,plain,
( ! [U_536] :
( cC86xcomp(U_536)
| ! [U_533] : ~ ra_Px28(U_536,U_533) )
& ! [U_535] :
( ra_Px28(U_535,sK78(U_535))
| ~ cC86xcomp(U_535) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78]),skolemize(U_532,sK78(U_535))],[f_127_3]) ).
cnf(f_127_5,plain,
( ra_Px28(U_535,sK78(U_535))
| ~ cC86xcomp(U_535) ),
inference(clausify,[status(thm)],[f_127_4]) ).
cnf(f_127_6,plain,
( cC86xcomp(U_536)
| ~ ra_Px28(U_536,U_533) ),
inference(clausify,[status(thm)],[f_127_4]) ).
fof(f_128_1,plain,
! [X] :
( ( cC88(X)
| ~ cC2(X)
| ~ cC16(X) )
& ( ( cC2(X)
& cC16(X) )
| ~ cC88(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_127]) ).
fof(f_128_2,plain,
! [U_537] :
( ( cC88(U_537)
| ~ cC2(U_537)
| ~ cC16(U_537) )
& ( ( cC2(U_537)
& cC16(U_537) )
| ~ cC88(U_537) ) ),
inference(variable_rename,[status(thm)],[f_128_1]) ).
fof(f_128_3,plain,
( ! [U_539] :
( cC88(U_539)
| ~ cC2(U_539)
| ~ cC16(U_539) )
& ! [U_538] :
( ( cC2(U_538)
& cC16(U_538) )
| ~ cC88(U_538) ) ),
inference(miniscope,[status(thm)],[f_128_2]) ).
cnf(f_128_4,plain,
( cC16(U_538)
| ~ cC88(U_538) ),
inference(clausify,[status(thm)],[f_128_3]) ).
cnf(f_128_5,plain,
( cC2(U_538)
| ~ cC88(U_538) ),
inference(clausify,[status(thm)],[f_128_3]) ).
cnf(f_128_6,plain,
( cC88(U_539)
| ~ cC2(U_539)
| ~ cC16(U_539) ),
inference(clausify,[status(thm)],[f_128_3]) ).
fof(f_129_1,plain,
! [X] :
( ( cC88(X)
| ? [Y] : ra_Px64(X,Y) )
& ( ! [Y] : ~ ra_Px64(X,Y)
| ~ cC88(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_128]) ).
fof(f_129_2,plain,
! [U_542] :
( ( cC88(U_542)
| ? [U_541] : ra_Px64(U_542,U_541) )
& ( ! [U_540] : ~ ra_Px64(U_542,U_540)
| ~ cC88(U_542) ) ),
inference(variable_rename,[status(thm)],[f_129_1]) ).
fof(f_129_3,plain,
( ! [U_544] :
( cC88(U_544)
| ? [U_541] : ra_Px64(U_544,U_541) )
& ! [U_543] :
( ! [U_540] : ~ ra_Px64(U_543,U_540)
| ~ cC88(U_543) ) ),
inference(miniscope,[status(thm)],[f_129_2]) ).
fof(f_129_4,plain,
( ! [U_544] :
( cC88(U_544)
| ra_Px64(U_544,sK79(U_544)) )
& ! [U_543] :
( ! [U_540] : ~ ra_Px64(U_543,U_540)
| ~ cC88(U_543) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79]),skolemize(U_541,sK79(U_544))],[f_129_3]) ).
cnf(f_129_5,plain,
( ~ ra_Px64(U_543,U_540)
| ~ cC88(U_543) ),
inference(clausify,[status(thm)],[f_129_4]) ).
cnf(f_129_6,plain,
( cC88(U_544)
| ra_Px64(U_544,sK79(U_544)) ),
inference(clausify,[status(thm)],[f_129_4]) ).
fof(f_130_1,plain,
! [X] :
( ( cC88xcomp(X)
| ! [Y0] : ~ ra_Px64(X,Y0) )
& ( ? [Y0] : ra_Px64(X,Y0)
| ~ cC88xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_129]) ).
fof(f_130_2,plain,
! [U_547] :
( ( cC88xcomp(U_547)
| ! [U_546] : ~ ra_Px64(U_547,U_546) )
& ( ? [U_545] : ra_Px64(U_547,U_545)
| ~ cC88xcomp(U_547) ) ),
inference(variable_rename,[status(thm)],[f_130_1]) ).
fof(f_130_3,plain,
( ! [U_549] :
( cC88xcomp(U_549)
| ! [U_546] : ~ ra_Px64(U_549,U_546) )
& ! [U_548] :
( ? [U_545] : ra_Px64(U_548,U_545)
| ~ cC88xcomp(U_548) ) ),
inference(miniscope,[status(thm)],[f_130_2]) ).
fof(f_130_4,plain,
( ! [U_549] :
( cC88xcomp(U_549)
| ! [U_546] : ~ ra_Px64(U_549,U_546) )
& ! [U_548] :
( ra_Px64(U_548,sK80(U_548))
| ~ cC88xcomp(U_548) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80]),skolemize(U_545,sK80(U_548))],[f_130_3]) ).
cnf(f_130_5,plain,
( ra_Px64(U_548,sK80(U_548))
| ~ cC88xcomp(U_548) ),
inference(clausify,[status(thm)],[f_130_4]) ).
cnf(f_130_6,plain,
( cC88xcomp(U_549)
| ~ ra_Px64(U_549,U_546) ),
inference(clausify,[status(thm)],[f_130_4]) ).
fof(f_131_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_130]) ).
fof(f_131_2,plain,
! [U_552] :
( ( cC90(U_552)
| ! [U_551] :
( ~ cC88(U_551)
| ~ rR1(U_552,U_551) ) )
& ( ? [U_550] :
( cC88(U_550)
& rR1(U_552,U_550) )
| ~ cC90(U_552) ) ),
inference(variable_rename,[status(thm)],[f_131_1]) ).
fof(f_131_3,plain,
( ! [U_554] :
( cC90(U_554)
| ! [U_551] :
( ~ cC88(U_551)
| ~ rR1(U_554,U_551) ) )
& ! [U_553] :
( ? [U_550] :
( cC88(U_550)
& rR1(U_553,U_550) )
| ~ cC90(U_553) ) ),
inference(miniscope,[status(thm)],[f_131_2]) ).
fof(f_131_4,plain,
( ! [U_554] :
( cC90(U_554)
| ! [U_551] :
( ~ cC88(U_551)
| ~ rR1(U_554,U_551) ) )
& ! [U_553] :
( ( cC88(sK81(U_553))
& rR1(U_553,sK81(U_553)) )
| ~ cC90(U_553) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK81]),skolemize(U_550,sK81(U_553))],[f_131_3]) ).
cnf(f_131_5,plain,
( rR1(U_553,sK81(U_553))
| ~ cC90(U_553) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_6,plain,
( cC88(sK81(U_553))
| ~ cC90(U_553) ),
inference(clausify,[status(thm)],[f_131_4]) ).
cnf(f_131_7,plain,
( cC90(U_554)
| ~ cC88(U_551)
| ~ rR1(U_554,U_551) ),
inference(clausify,[status(thm)],[f_131_4]) ).
fof(f_132_1,plain,
! [X] :
( ( cC90(X)
| ? [Y] : ra_Px52(X,Y) )
& ( ! [Y] : ~ ra_Px52(X,Y)
| ~ cC90(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_131]) ).
fof(f_132_2,plain,
! [U_557] :
( ( cC90(U_557)
| ? [U_556] : ra_Px52(U_557,U_556) )
& ( ! [U_555] : ~ ra_Px52(U_557,U_555)
| ~ cC90(U_557) ) ),
inference(variable_rename,[status(thm)],[f_132_1]) ).
fof(f_132_3,plain,
( ! [U_559] :
( cC90(U_559)
| ? [U_556] : ra_Px52(U_559,U_556) )
& ! [U_558] :
( ! [U_555] : ~ ra_Px52(U_558,U_555)
| ~ cC90(U_558) ) ),
inference(miniscope,[status(thm)],[f_132_2]) ).
fof(f_132_4,plain,
( ! [U_559] :
( cC90(U_559)
| ra_Px52(U_559,sK82(U_559)) )
& ! [U_558] :
( ! [U_555] : ~ ra_Px52(U_558,U_555)
| ~ cC90(U_558) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(U_556,sK82(U_559))],[f_132_3]) ).
cnf(f_132_5,plain,
( ~ ra_Px52(U_558,U_555)
| ~ cC90(U_558) ),
inference(clausify,[status(thm)],[f_132_4]) ).
cnf(f_132_6,plain,
( cC90(U_559)
| ra_Px52(U_559,sK82(U_559)) ),
inference(clausify,[status(thm)],[f_132_4]) ).
fof(f_133_1,plain,
! [X] :
( ( cC90xcomp(X)
| ! [Y0] : ~ ra_Px52(X,Y0) )
& ( ? [Y0] : ra_Px52(X,Y0)
| ~ cC90xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_132]) ).
fof(f_133_2,plain,
! [U_562] :
( ( cC90xcomp(U_562)
| ! [U_561] : ~ ra_Px52(U_562,U_561) )
& ( ? [U_560] : ra_Px52(U_562,U_560)
| ~ cC90xcomp(U_562) ) ),
inference(variable_rename,[status(thm)],[f_133_1]) ).
fof(f_133_3,plain,
( ! [U_564] :
( cC90xcomp(U_564)
| ! [U_561] : ~ ra_Px52(U_564,U_561) )
& ! [U_563] :
( ? [U_560] : ra_Px52(U_563,U_560)
| ~ cC90xcomp(U_563) ) ),
inference(miniscope,[status(thm)],[f_133_2]) ).
fof(f_133_4,plain,
( ! [U_564] :
( cC90xcomp(U_564)
| ! [U_561] : ~ ra_Px52(U_564,U_561) )
& ! [U_563] :
( ra_Px52(U_563,sK83(U_563))
| ~ cC90xcomp(U_563) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83]),skolemize(U_560,sK83(U_563))],[f_133_3]) ).
cnf(f_133_5,plain,
( ra_Px52(U_563,sK83(U_563))
| ~ cC90xcomp(U_563) ),
inference(clausify,[status(thm)],[f_133_4]) ).
cnf(f_133_6,plain,
( cC90xcomp(U_564)
| ~ ra_Px52(U_564,U_561) ),
inference(clausify,[status(thm)],[f_133_4]) ).
fof(f_134_1,plain,
! [X] :
( ( cC92(X)
| ! [Y0] : ~ ra_Px29(X,Y0) )
& ( ? [Y0] : ra_Px29(X,Y0)
| ~ cC92(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_133]) ).
fof(f_134_2,plain,
! [U_567] :
( ( cC92(U_567)
| ! [U_566] : ~ ra_Px29(U_567,U_566) )
& ( ? [U_565] : ra_Px29(U_567,U_565)
| ~ cC92(U_567) ) ),
inference(variable_rename,[status(thm)],[f_134_1]) ).
fof(f_134_3,plain,
( ! [U_569] :
( cC92(U_569)
| ! [U_566] : ~ ra_Px29(U_569,U_566) )
& ! [U_568] :
( ? [U_565] : ra_Px29(U_568,U_565)
| ~ cC92(U_568) ) ),
inference(miniscope,[status(thm)],[f_134_2]) ).
fof(f_134_4,plain,
( ! [U_569] :
( cC92(U_569)
| ! [U_566] : ~ ra_Px29(U_569,U_566) )
& ! [U_568] :
( ra_Px29(U_568,sK84(U_568))
| ~ cC92(U_568) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84]),skolemize(U_565,sK84(U_568))],[f_134_3]) ).
cnf(f_134_5,plain,
( ra_Px29(U_568,sK84(U_568))
| ~ cC92(U_568) ),
inference(clausify,[status(thm)],[f_134_4]) ).
cnf(f_134_6,plain,
( cC92(U_569)
| ~ ra_Px29(U_569,U_566) ),
inference(clausify,[status(thm)],[f_134_4]) ).
fof(f_135_1,plain,
! [X] :
( ( cC92(X)
| ~ cC16xcomp(X)
| ~ cC90(X) )
& ( ( cC16xcomp(X)
& cC90(X) )
| ~ cC92(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_134]) ).
fof(f_135_2,plain,
! [U_570] :
( ( cC92(U_570)
| ~ cC16xcomp(U_570)
| ~ cC90(U_570) )
& ( ( cC16xcomp(U_570)
& cC90(U_570) )
| ~ cC92(U_570) ) ),
inference(variable_rename,[status(thm)],[f_135_1]) ).
fof(f_135_3,plain,
( ! [U_572] :
( cC92(U_572)
| ~ cC16xcomp(U_572)
| ~ cC90(U_572) )
& ! [U_571] :
( ( cC16xcomp(U_571)
& cC90(U_571) )
| ~ cC92(U_571) ) ),
inference(miniscope,[status(thm)],[f_135_2]) ).
cnf(f_135_4,plain,
( cC90(U_571)
| ~ cC92(U_571) ),
inference(clausify,[status(thm)],[f_135_3]) ).
cnf(f_135_5,plain,
( cC16xcomp(U_571)
| ~ cC92(U_571) ),
inference(clausify,[status(thm)],[f_135_3]) ).
cnf(f_135_6,plain,
( cC92(U_572)
| ~ cC16xcomp(U_572)
| ~ cC90(U_572) ),
inference(clausify,[status(thm)],[f_135_3]) ).
fof(f_136_1,plain,
! [X] :
( ( cC92xcomp(X)
| ? [Y] : ra_Px29(X,Y) )
& ( ! [Y] : ~ ra_Px29(X,Y)
| ~ cC92xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_135]) ).
fof(f_136_2,plain,
! [U_575] :
( ( cC92xcomp(U_575)
| ? [U_574] : ra_Px29(U_575,U_574) )
& ( ! [U_573] : ~ ra_Px29(U_575,U_573)
| ~ cC92xcomp(U_575) ) ),
inference(variable_rename,[status(thm)],[f_136_1]) ).
fof(f_136_3,plain,
( ! [U_577] :
( cC92xcomp(U_577)
| ? [U_574] : ra_Px29(U_577,U_574) )
& ! [U_576] :
( ! [U_573] : ~ ra_Px29(U_576,U_573)
| ~ cC92xcomp(U_576) ) ),
inference(miniscope,[status(thm)],[f_136_2]) ).
fof(f_136_4,plain,
( ! [U_577] :
( cC92xcomp(U_577)
| ra_Px29(U_577,sK85(U_577)) )
& ! [U_576] :
( ! [U_573] : ~ ra_Px29(U_576,U_573)
| ~ cC92xcomp(U_576) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK85]),skolemize(U_574,sK85(U_577))],[f_136_3]) ).
cnf(f_136_5,plain,
( ~ ra_Px29(U_576,U_573)
| ~ cC92xcomp(U_576) ),
inference(clausify,[status(thm)],[f_136_4]) ).
cnf(f_136_6,plain,
( cC92xcomp(U_577)
| ra_Px29(U_577,sK85(U_577)) ),
inference(clausify,[status(thm)],[f_136_4]) ).
fof(f_137_1,plain,
! [X] :
( ( cC94(X)
| ~ cC92xcomp(X)
| ~ cC86xcomp(X) )
& ( ( cC92xcomp(X)
& cC86xcomp(X) )
| ~ cC94(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_136]) ).
fof(f_137_2,plain,
! [U_578] :
( ( cC94(U_578)
| ~ cC92xcomp(U_578)
| ~ cC86xcomp(U_578) )
& ( ( cC92xcomp(U_578)
& cC86xcomp(U_578) )
| ~ cC94(U_578) ) ),
inference(variable_rename,[status(thm)],[f_137_1]) ).
fof(f_137_3,plain,
( ! [U_580] :
( cC94(U_580)
| ~ cC92xcomp(U_580)
| ~ cC86xcomp(U_580) )
& ! [U_579] :
( ( cC92xcomp(U_579)
& cC86xcomp(U_579) )
| ~ cC94(U_579) ) ),
inference(miniscope,[status(thm)],[f_137_2]) ).
cnf(f_137_4,plain,
( cC86xcomp(U_579)
| ~ cC94(U_579) ),
inference(clausify,[status(thm)],[f_137_3]) ).
cnf(f_137_5,plain,
( cC92xcomp(U_579)
| ~ cC94(U_579) ),
inference(clausify,[status(thm)],[f_137_3]) ).
cnf(f_137_6,plain,
( cC94(U_580)
| ~ cC92xcomp(U_580)
| ~ cC86xcomp(U_580) ),
inference(clausify,[status(thm)],[f_137_3]) ).
fof(f_138_1,plain,
! [X] :
( ( cC94(X)
| ! [Y0] : ~ ra_Px30(X,Y0) )
& ( ? [Y0] : ra_Px30(X,Y0)
| ~ cC94(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_137]) ).
fof(f_138_2,plain,
! [U_583] :
( ( cC94(U_583)
| ! [U_582] : ~ ra_Px30(U_583,U_582) )
& ( ? [U_581] : ra_Px30(U_583,U_581)
| ~ cC94(U_583) ) ),
inference(variable_rename,[status(thm)],[f_138_1]) ).
fof(f_138_3,plain,
( ! [U_585] :
( cC94(U_585)
| ! [U_582] : ~ ra_Px30(U_585,U_582) )
& ! [U_584] :
( ? [U_581] : ra_Px30(U_584,U_581)
| ~ cC94(U_584) ) ),
inference(miniscope,[status(thm)],[f_138_2]) ).
fof(f_138_4,plain,
( ! [U_585] :
( cC94(U_585)
| ! [U_582] : ~ ra_Px30(U_585,U_582) )
& ! [U_584] :
( ra_Px30(U_584,sK86(U_584))
| ~ cC94(U_584) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86]),skolemize(U_581,sK86(U_584))],[f_138_3]) ).
cnf(f_138_5,plain,
( ra_Px30(U_584,sK86(U_584))
| ~ cC94(U_584) ),
inference(clausify,[status(thm)],[f_138_4]) ).
cnf(f_138_6,plain,
( cC94(U_585)
| ~ ra_Px30(U_585,U_582) ),
inference(clausify,[status(thm)],[f_138_4]) ).
fof(f_139_1,plain,
! [X] :
( ( cC94xcomp(X)
| ? [Y] : ra_Px30(X,Y) )
& ( ! [Y] : ~ ra_Px30(X,Y)
| ~ cC94xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_138]) ).
fof(f_139_2,plain,
! [U_588] :
( ( cC94xcomp(U_588)
| ? [U_587] : ra_Px30(U_588,U_587) )
& ( ! [U_586] : ~ ra_Px30(U_588,U_586)
| ~ cC94xcomp(U_588) ) ),
inference(variable_rename,[status(thm)],[f_139_1]) ).
fof(f_139_3,plain,
( ! [U_590] :
( cC94xcomp(U_590)
| ? [U_587] : ra_Px30(U_590,U_587) )
& ! [U_589] :
( ! [U_586] : ~ ra_Px30(U_589,U_586)
| ~ cC94xcomp(U_589) ) ),
inference(miniscope,[status(thm)],[f_139_2]) ).
fof(f_139_4,plain,
( ! [U_590] :
( cC94xcomp(U_590)
| ra_Px30(U_590,sK87(U_590)) )
& ! [U_589] :
( ! [U_586] : ~ ra_Px30(U_589,U_586)
| ~ cC94xcomp(U_589) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87]),skolemize(U_587,sK87(U_590))],[f_139_3]) ).
cnf(f_139_5,plain,
( ~ ra_Px30(U_589,U_586)
| ~ cC94xcomp(U_589) ),
inference(clausify,[status(thm)],[f_139_4]) ).
cnf(f_139_6,plain,
( cC94xcomp(U_590)
| ra_Px30(U_590,sK87(U_590)) ),
inference(clausify,[status(thm)],[f_139_4]) ).
fof(f_140_1,plain,
! [X] :
( ( cC96(X)
| ! [Y0] : ~ ra_Px38(X,Y0) )
& ( ? [Y0] : ra_Px38(X,Y0)
| ~ cC96(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_139]) ).
fof(f_140_2,plain,
! [U_593] :
( ( cC96(U_593)
| ! [U_592] : ~ ra_Px38(U_593,U_592) )
& ( ? [U_591] : ra_Px38(U_593,U_591)
| ~ cC96(U_593) ) ),
inference(variable_rename,[status(thm)],[f_140_1]) ).
fof(f_140_3,plain,
( ! [U_595] :
( cC96(U_595)
| ! [U_592] : ~ ra_Px38(U_595,U_592) )
& ! [U_594] :
( ? [U_591] : ra_Px38(U_594,U_591)
| ~ cC96(U_594) ) ),
inference(miniscope,[status(thm)],[f_140_2]) ).
fof(f_140_4,plain,
( ! [U_595] :
( cC96(U_595)
| ! [U_592] : ~ ra_Px38(U_595,U_592) )
& ! [U_594] :
( ra_Px38(U_594,sK88(U_594))
| ~ cC96(U_594) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(U_591,sK88(U_594))],[f_140_3]) ).
cnf(f_140_5,plain,
( ra_Px38(U_594,sK88(U_594))
| ~ cC96(U_594) ),
inference(clausify,[status(thm)],[f_140_4]) ).
cnf(f_140_6,plain,
( cC96(U_595)
| ~ ra_Px38(U_595,U_592) ),
inference(clausify,[status(thm)],[f_140_4]) ).
fof(f_141_1,plain,
! [X] :
( ( cC96(X)
| ~ cC94xcomp(X)
| ~ cC2(X) )
& ( ( cC94xcomp(X)
& cC2(X) )
| ~ cC96(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_140]) ).
fof(f_141_2,plain,
! [U_596] :
( ( cC96(U_596)
| ~ cC94xcomp(U_596)
| ~ cC2(U_596) )
& ( ( cC94xcomp(U_596)
& cC2(U_596) )
| ~ cC96(U_596) ) ),
inference(variable_rename,[status(thm)],[f_141_1]) ).
fof(f_141_3,plain,
( ! [U_598] :
( cC96(U_598)
| ~ cC94xcomp(U_598)
| ~ cC2(U_598) )
& ! [U_597] :
( ( cC94xcomp(U_597)
& cC2(U_597) )
| ~ cC96(U_597) ) ),
inference(miniscope,[status(thm)],[f_141_2]) ).
cnf(f_141_4,plain,
( cC2(U_597)
| ~ cC96(U_597) ),
inference(clausify,[status(thm)],[f_141_3]) ).
cnf(f_141_5,plain,
( cC94xcomp(U_597)
| ~ cC96(U_597) ),
inference(clausify,[status(thm)],[f_141_3]) ).
cnf(f_141_6,plain,
( cC96(U_598)
| ~ cC94xcomp(U_598)
| ~ cC2(U_598) ),
inference(clausify,[status(thm)],[f_141_3]) ).
fof(f_142_1,plain,
! [X] :
( ( cC96xcomp(X)
| ? [Y] : ra_Px38(X,Y) )
& ( ! [Y] : ~ ra_Px38(X,Y)
| ~ cC96xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_141]) ).
fof(f_142_2,plain,
! [U_601] :
( ( cC96xcomp(U_601)
| ? [U_600] : ra_Px38(U_601,U_600) )
& ( ! [U_599] : ~ ra_Px38(U_601,U_599)
| ~ cC96xcomp(U_601) ) ),
inference(variable_rename,[status(thm)],[f_142_1]) ).
fof(f_142_3,plain,
( ! [U_603] :
( cC96xcomp(U_603)
| ? [U_600] : ra_Px38(U_603,U_600) )
& ! [U_602] :
( ! [U_599] : ~ ra_Px38(U_602,U_599)
| ~ cC96xcomp(U_602) ) ),
inference(miniscope,[status(thm)],[f_142_2]) ).
fof(f_142_4,plain,
( ! [U_603] :
( cC96xcomp(U_603)
| ra_Px38(U_603,sK89(U_603)) )
& ! [U_602] :
( ! [U_599] : ~ ra_Px38(U_602,U_599)
| ~ cC96xcomp(U_602) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89]),skolemize(U_600,sK89(U_603))],[f_142_3]) ).
cnf(f_142_5,plain,
( ~ ra_Px38(U_602,U_599)
| ~ cC96xcomp(U_602) ),
inference(clausify,[status(thm)],[f_142_4]) ).
cnf(f_142_6,plain,
( cC96xcomp(U_603)
| ra_Px38(U_603,sK89(U_603)) ),
inference(clausify,[status(thm)],[f_142_4]) ).
fof(f_143_1,plain,
! [X] :
( ( cC98(X)
| ! [Y0] : ~ ra_Px63(X,Y0) )
& ( ? [Y0] : ra_Px63(X,Y0)
| ~ cC98(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_142]) ).
fof(f_143_2,plain,
! [U_606] :
( ( cC98(U_606)
| ! [U_605] : ~ ra_Px63(U_606,U_605) )
& ( ? [U_604] : ra_Px63(U_606,U_604)
| ~ cC98(U_606) ) ),
inference(variable_rename,[status(thm)],[f_143_1]) ).
fof(f_143_3,plain,
( ! [U_608] :
( cC98(U_608)
| ! [U_605] : ~ ra_Px63(U_608,U_605) )
& ! [U_607] :
( ? [U_604] : ra_Px63(U_607,U_604)
| ~ cC98(U_607) ) ),
inference(miniscope,[status(thm)],[f_143_2]) ).
fof(f_143_4,plain,
( ! [U_608] :
( cC98(U_608)
| ! [U_605] : ~ ra_Px63(U_608,U_605) )
& ! [U_607] :
( ra_Px63(U_607,sK90(U_607))
| ~ cC98(U_607) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90]),skolemize(U_604,sK90(U_607))],[f_143_3]) ).
cnf(f_143_5,plain,
( ra_Px63(U_607,sK90(U_607))
| ~ cC98(U_607) ),
inference(clausify,[status(thm)],[f_143_4]) ).
cnf(f_143_6,plain,
( cC98(U_608)
| ~ ra_Px63(U_608,U_605) ),
inference(clausify,[status(thm)],[f_143_4]) ).
fof(f_144_1,plain,
! [X] :
( ( cC98(X)
| ~ cC4(X)
| ~ cC34xcomp(X) )
& ( ( cC4(X)
& cC34xcomp(X) )
| ~ cC98(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_143]) ).
fof(f_144_2,plain,
! [U_609] :
( ( cC98(U_609)
| ~ cC4(U_609)
| ~ cC34xcomp(U_609) )
& ( ( cC4(U_609)
& cC34xcomp(U_609) )
| ~ cC98(U_609) ) ),
inference(variable_rename,[status(thm)],[f_144_1]) ).
fof(f_144_3,plain,
( ! [U_611] :
( cC98(U_611)
| ~ cC4(U_611)
| ~ cC34xcomp(U_611) )
& ! [U_610] :
( ( cC4(U_610)
& cC34xcomp(U_610) )
| ~ cC98(U_610) ) ),
inference(miniscope,[status(thm)],[f_144_2]) ).
cnf(f_144_4,plain,
( cC34xcomp(U_610)
| ~ cC98(U_610) ),
inference(clausify,[status(thm)],[f_144_3]) ).
cnf(f_144_5,plain,
( cC4(U_610)
| ~ cC98(U_610) ),
inference(clausify,[status(thm)],[f_144_3]) ).
cnf(f_144_6,plain,
( cC98(U_611)
| ~ cC4(U_611)
| ~ cC34xcomp(U_611) ),
inference(clausify,[status(thm)],[f_144_3]) ).
fof(f_145_1,plain,
! [X] :
( ( cC98xcomp(X)
| ? [Y] : ra_Px63(X,Y) )
& ( ! [Y] : ~ ra_Px63(X,Y)
| ~ cC98xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_144]) ).
fof(f_145_2,plain,
! [U_614] :
( ( cC98xcomp(U_614)
| ? [U_613] : ra_Px63(U_614,U_613) )
& ( ! [U_612] : ~ ra_Px63(U_614,U_612)
| ~ cC98xcomp(U_614) ) ),
inference(variable_rename,[status(thm)],[f_145_1]) ).
fof(f_145_3,plain,
( ! [U_616] :
( cC98xcomp(U_616)
| ? [U_613] : ra_Px63(U_616,U_613) )
& ! [U_615] :
( ! [U_612] : ~ ra_Px63(U_615,U_612)
| ~ cC98xcomp(U_615) ) ),
inference(miniscope,[status(thm)],[f_145_2]) ).
fof(f_145_4,plain,
( ! [U_616] :
( cC98xcomp(U_616)
| ra_Px63(U_616,sK91(U_616)) )
& ! [U_615] :
( ! [U_612] : ~ ra_Px63(U_615,U_612)
| ~ cC98xcomp(U_615) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91]),skolemize(U_613,sK91(U_616))],[f_145_3]) ).
cnf(f_145_5,plain,
( ~ ra_Px63(U_615,U_612)
| ~ cC98xcomp(U_615) ),
inference(clausify,[status(thm)],[f_145_4]) ).
cnf(f_145_6,plain,
( cC98xcomp(U_616)
| ra_Px63(U_616,sK91(U_616)) ),
inference(clausify,[status(thm)],[f_145_4]) ).
fof(f_146_1,plain,
! [X] :
( ( cTEST(X)
| ~ cC140(X)
| ~ cC6(X) )
& ( ( cC140(X)
& cC6(X) )
| ~ cTEST(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_145]) ).
fof(f_146_2,plain,
! [U_617] :
( ( cTEST(U_617)
| ~ cC140(U_617)
| ~ cC6(U_617) )
& ( ( cC140(U_617)
& cC6(U_617) )
| ~ cTEST(U_617) ) ),
inference(variable_rename,[status(thm)],[f_146_1]) ).
fof(f_146_3,plain,
( ! [U_619] :
( cTEST(U_619)
| ~ cC140(U_619)
| ~ cC6(U_619) )
& ! [U_618] :
( ( cC140(U_618)
& cC6(U_618) )
| ~ cTEST(U_618) ) ),
inference(miniscope,[status(thm)],[f_146_2]) ).
cnf(f_146_4,plain,
( cC6(U_618)
| ~ cTEST(U_618) ),
inference(clausify,[status(thm)],[f_146_3]) ).
cnf(f_146_5,plain,
( cC140(U_618)
| ~ cTEST(U_618) ),
inference(clausify,[status(thm)],[f_146_3]) ).
cnf(f_146_6,plain,
( cTEST(U_619)
| ~ cC140(U_619)
| ~ cC6(U_619) ),
inference(clausify,[status(thm)],[f_146_3]) ).
fof(f_147_1,plain,
cC16(iV822576),
inference(fof_nnf,[status(thm)],[axiom_146]) ).
cnf(f_147_2,plain,
cC16(iV822576),
inference(clausify,[status(thm)],[f_147_1]) ).
fof(f_148_1,plain,
cC102xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_147]) ).
cnf(f_148_2,plain,
cC102xcomp(iV822576),
inference(clausify,[status(thm)],[f_148_1]) ).
fof(f_149_1,plain,
cC108xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_148]) ).
cnf(f_149_2,plain,
cC108xcomp(iV822576),
inference(clausify,[status(thm)],[f_149_1]) ).
fof(f_150_1,plain,
cC4(iV822576),
inference(fof_nnf,[status(thm)],[axiom_149]) ).
cnf(f_150_2,plain,
cC4(iV822576),
inference(clausify,[status(thm)],[f_150_1]) ).
fof(f_151_1,plain,
cC18xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_150]) ).
cnf(f_151_2,plain,
cC18xcomp(iV822576),
inference(clausify,[status(thm)],[f_151_1]) ).
fof(f_152_1,plain,
cC112xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_151]) ).
cnf(f_152_2,plain,
cC112xcomp(iV822576),
inference(clausify,[status(thm)],[f_152_1]) ).
fof(f_153_1,plain,
cC76xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_152]) ).
cnf(f_153_2,plain,
cC76xcomp(iV822576),
inference(clausify,[status(thm)],[f_153_1]) ).
fof(f_154_1,plain,
cC96xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_153]) ).
cnf(f_154_2,plain,
cC96xcomp(iV822576),
inference(clausify,[status(thm)],[f_154_1]) ).
fof(f_155_1,plain,
cC132xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_154]) ).
cnf(f_155_2,plain,
cC132xcomp(iV822576),
inference(clausify,[status(thm)],[f_155_1]) ).
fof(f_156_1,plain,
cC100xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_155]) ).
cnf(f_156_2,plain,
cC100xcomp(iV822576),
inference(clausify,[status(thm)],[f_156_1]) ).
fof(f_157_1,plain,
! [X] :
( cC98xcomp(X)
| ~ rR1(iV822576,X) ),
inference(fof_nnf,[status(thm)],[axiom_156]) ).
fof(f_157_2,plain,
! [U_620] :
( cC98xcomp(U_620)
| ~ rR1(iV822576,U_620) ),
inference(variable_rename,[status(thm)],[f_157_1]) ).
cnf(f_157_3,plain,
( cC98xcomp(U_620)
| ~ rR1(iV822576,U_620) ),
inference(clausify,[status(thm)],[f_157_2]) ).
fof(f_158_1,plain,
cC90xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_157]) ).
cnf(f_158_2,plain,
cC90xcomp(iV822576),
inference(clausify,[status(thm)],[f_158_1]) ).
fof(f_159_1,plain,
cC78xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_158]) ).
cnf(f_159_2,plain,
cC78xcomp(iV822576),
inference(clausify,[status(thm)],[f_159_1]) ).
fof(f_160_1,plain,
! [X] :
( cC82xcomp(X)
| ~ rR1(iV822576,X) ),
inference(fof_nnf,[status(thm)],[axiom_159]) ).
fof(f_160_2,plain,
! [U_621] :
( cC82xcomp(U_621)
| ~ rR1(iV822576,U_621) ),
inference(variable_rename,[status(thm)],[f_160_1]) ).
cnf(f_160_3,plain,
( cC82xcomp(U_621)
| ~ rR1(iV822576,U_621) ),
inference(clausify,[status(thm)],[f_160_2]) ).
fof(f_161_1,plain,
cC134xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_160]) ).
cnf(f_161_2,plain,
cC134xcomp(iV822576),
inference(clausify,[status(thm)],[f_161_1]) ).
fof(f_162_1,plain,
cC86xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_161]) ).
cnf(f_162_2,plain,
cC86xcomp(iV822576),
inference(clausify,[status(thm)],[f_162_1]) ).
fof(f_163_1,plain,
cC34(iV822576),
inference(fof_nnf,[status(thm)],[axiom_162]) ).
cnf(f_163_2,plain,
cC34(iV822576),
inference(clausify,[status(thm)],[f_163_1]) ).
fof(f_164_1,plain,
cC84xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_163]) ).
cnf(f_164_2,plain,
cC84xcomp(iV822576),
inference(clausify,[status(thm)],[f_164_1]) ).
fof(f_165_1,plain,
! [X] :
( cC88xcomp(X)
| ~ rR1(iV822576,X) ),
inference(fof_nnf,[status(thm)],[axiom_164]) ).
fof(f_165_2,plain,
! [U_622] :
( cC88xcomp(U_622)
| ~ rR1(iV822576,U_622) ),
inference(variable_rename,[status(thm)],[f_165_1]) ).
cnf(f_165_3,plain,
( cC88xcomp(U_622)
| ~ rR1(iV822576,U_622) ),
inference(clausify,[status(thm)],[f_165_2]) ).
fof(f_166_1,plain,
cC2(iV822576),
inference(fof_nnf,[status(thm)],[axiom_165]) ).
cnf(f_166_2,plain,
cC2(iV822576),
inference(clausify,[status(thm)],[f_166_1]) ).
fof(f_167_1,plain,
cowlThing(iV822576),
inference(fof_nnf,[status(thm)],[axiom_166]) ).
cnf(f_167_2,plain,
cowlThing(iV822576),
inference(clausify,[status(thm)],[f_167_1]) ).
fof(f_168_1,plain,
cC10xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_167]) ).
cnf(f_168_2,plain,
cC10xcomp(iV822576),
inference(clausify,[status(thm)],[f_168_1]) ).
fof(f_169_1,plain,
cC92xcomp(iV822576),
inference(fof_nnf,[status(thm)],[axiom_168]) ).
cnf(f_169_2,plain,
cC92xcomp(iV822576),
inference(clausify,[status(thm)],[f_169_1]) ).
fof(f_170_1,negated_conjecture,
~ ( cC56(iV822576)
& cC136(iV822576)
& cC110(iV822576)
& cC80(iV822576)
& cC94(iV822576)
& cowlThing(iV822576)
& cC114(iV822576)
& cC116(iV822576)
& cC58(iV822576)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_170_2,negated_conjecture,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_170_1]) ).
fof(f_170_3,negated_conjecture,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ? [U_624] :
( ( ~ xsd_string(U_624)
& ~ xsd_integer(U_624) )
| ( xsd_integer(U_624)
& xsd_string(U_624) ) )
| ? [U_623] :
( cowlNothing(U_623)
| ~ cowlThing(U_623) ) ),
inference(variable_rename,[status(thm)],[f_170_2]) ).
fof(f_170_4,negated_conjecture,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ? [U_628] :
( ~ xsd_string(U_628)
& ~ xsd_integer(U_628) )
| ? [U_627] :
( xsd_integer(U_627)
& xsd_string(U_627) )
| ? [U_626] : cowlNothing(U_626)
| ? [U_625] : ~ cowlThing(U_625) ),
inference(miniscope,[status(thm)],[f_170_3]) ).
fof(f_170_5,negated_conjecture,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ? [U_628] :
( ~ xsd_string(U_628)
& ~ xsd_integer(U_628) )
| ? [U_627] :
( xsd_integer(U_627)
& xsd_string(U_627) )
| ? [U_626] : cowlNothing(U_626)
| ~ cowlThing(sK92) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92]),skolemize(U_625,sK92)],[f_170_4]) ).
fof(f_170_6,negated_conjecture,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ? [U_628] :
( ~ xsd_string(U_628)
& ~ xsd_integer(U_628) )
| ? [U_627] :
( xsd_integer(U_627)
& xsd_string(U_627) )
| cowlNothing(sK93)
| ~ cowlThing(sK92) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93]),skolemize(U_626,sK93)],[f_170_5]) ).
fof(f_170_7,negated_conjecture,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ? [U_628] :
( ~ xsd_string(U_628)
& ~ xsd_integer(U_628) )
| ( xsd_integer(sK94)
& xsd_string(sK94) )
| cowlNothing(sK93)
| ~ cowlThing(sK92) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94]),skolemize(U_627,sK94)],[f_170_6]) ).
fof(f_170_8,negated_conjecture,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| ( ~ xsd_string(sK95)
& ~ xsd_integer(sK95) )
| ( xsd_integer(sK94)
& xsd_string(sK94) )
| cowlNothing(sK93)
| ~ cowlThing(sK92) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95]),skolemize(U_628,sK95)],[f_170_7]) ).
fof(f_170_9,negated_conjecture,
( ( ~ xsd_string(sK95)
| ~ sP1 )
& ( ~ xsd_integer(sK95)
| ~ sP1 )
& ( xsd_integer(sK94)
| ~ sP0 )
& ( xsd_string(sK94)
| ~ sP0 )
& ( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| sP1
| sP0
| cowlNothing(sK93)
| ~ cowlThing(sK92) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_170_8]) ).
cnf(f_170_10,negated_conjecture,
( ~ cC56(iV822576)
| ~ cC136(iV822576)
| ~ cC110(iV822576)
| ~ cC80(iV822576)
| ~ cC94(iV822576)
| ~ cowlThing(iV822576)
| ~ cC114(iV822576)
| ~ cC116(iV822576)
| ~ cC58(iV822576)
| sP1
| sP0
| cowlNothing(sK93)
| ~ cowlThing(sK92) ),
inference(clausify,[status(thm)],[f_170_9]) ).
cnf(f_170_11,negated_conjecture,
( xsd_string(sK94)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_170_9]) ).
cnf(f_170_12,negated_conjecture,
( xsd_integer(sK94)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_170_9]) ).
cnf(f_170_13,negated_conjecture,
( ~ xsd_integer(sK95)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_170_9]) ).
cnf(f_170_14,negated_conjecture,
( ~ xsd_string(sK95)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_170_9]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS154+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/sandbox/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n005.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 19 12:16:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.80/1.11 % SZS status Theorem for theBenchmark
% 0.80/1.11 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------