%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 0.95s 1.20s
% Output : Proof 0.95s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
file('theBenchmark.p',axiom_0) ).
fof(axiom_1,axiom,
! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) ),
file('theBenchmark.p',axiom_1) ).
fof(axiom_2,axiom,
! [X] :
( cC10(X)
<=> ? [Y0] : ra_Px50(X,Y0) ),
file('theBenchmark.p',axiom_2) ).
fof(axiom_3,axiom,
! [X] :
( cC10(X)
<=> ( cC8xcomp(X)
& cC2xcomp(X) ) ),
file('theBenchmark.p',axiom_3) ).
fof(axiom_4,axiom,
! [X] :
( cC10xcomp(X)
<=> ~ ? [Y] : ra_Px50(X,Y) ),
file('theBenchmark.p',axiom_4) ).
fof(axiom_5,axiom,
! [X] :
( cC100(X)
<=> ( cC94(X)
& cC98xcomp(X) ) ),
file('theBenchmark.p',axiom_5) ).
fof(axiom_6,axiom,
! [X] :
( cC102(X)
<=> ? [Y] :
( cC100(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_6) ).
fof(axiom_7,axiom,
! [X] :
( cC102(X)
<=> ? [Y0] : ra_Px30(X,Y0) ),
file('theBenchmark.p',axiom_7) ).
fof(axiom_8,axiom,
! [X] :
( cC102xcomp(X)
<=> ~ ? [Y] : ra_Px30(X,Y) ),
file('theBenchmark.p',axiom_8) ).
fof(axiom_9,axiom,
! [X] :
( cC104(X)
<=> ( cC88(X)
& cC102xcomp(X) ) ),
file('theBenchmark.p',axiom_9) ).
fof(axiom_10,axiom,
! [X] :
( cC106(X)
<=> ? [Y] :
( cC104(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_10) ).
fof(axiom_11,axiom,
! [X] :
( cC106(X)
<=> ~ ? [Y] : ra_Px31(X,Y) ),
file('theBenchmark.p',axiom_11) ).
fof(axiom_12,axiom,
! [X] :
( cC106xcomp(X)
<=> ? [Y0] : ra_Px31(X,Y0) ),
file('theBenchmark.p',axiom_12) ).
fof(axiom_13,axiom,
! [X] :
( cC108(X)
<=> ? [Y0] : ra_Px32(X,Y0) ),
file('theBenchmark.p',axiom_13) ).
fof(axiom_14,axiom,
! [X] :
( cC108(X)
<=> ( cC106xcomp(X)
& cC84(X) ) ),
file('theBenchmark.p',axiom_14) ).
fof(axiom_15,axiom,
! [X] :
( cC108xcomp(X)
<=> ~ ? [Y] : ra_Px32(X,Y) ),
file('theBenchmark.p',axiom_15) ).
fof(axiom_16,axiom,
! [X] :
( cC110(X)
<=> ( cC108xcomp(X)
& cC62(X) ) ),
file('theBenchmark.p',axiom_16) ).
fof(axiom_17,axiom,
! [X] :
( cC110(X)
<=> ? [Y0] : ra_Px33(X,Y0) ),
file('theBenchmark.p',axiom_17) ).
fof(axiom_18,axiom,
! [X] :
( cC110xcomp(X)
<=> ~ ? [Y] : ra_Px33(X,Y) ),
file('theBenchmark.p',axiom_18) ).
fof(axiom_19,axiom,
! [X] :
( cC112(X)
<=> ~ ? [Y] : ra_Px43(X,Y) ),
file('theBenchmark.p',axiom_19) ).
fof(axiom_20,axiom,
! [X] :
( cC112(X)
<=> ? [Y] :
( cC110xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_20) ).
fof(axiom_21,axiom,
! [X] :
( cC112xcomp(X)
<=> ? [Y0] : ra_Px43(X,Y0) ),
file('theBenchmark.p',axiom_21) ).
fof(axiom_22,axiom,
! [X] :
( cC114(X)
<=> ~ ? [Y] : ra_Px34(X,Y) ),
file('theBenchmark.p',axiom_22) ).
fof(axiom_23,axiom,
! [X] :
( cC114(X)
<=> ? [Y] :
( cC112(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_23) ).
fof(axiom_24,axiom,
! [X] :
( cC114xcomp(X)
<=> ? [Y0] : ra_Px34(X,Y0) ),
file('theBenchmark.p',axiom_24) ).
fof(axiom_25,axiom,
! [X] :
( cC116(X)
<=> ( cC114xcomp(X)
& cTOP(X) ) ),
file('theBenchmark.p',axiom_25) ).
fof(axiom_26,axiom,
! [X] :
( cC118(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_26) ).
fof(axiom_27,axiom,
! [X] :
( cC118(X)
<=> ? [Y0] : ra_Px36(X,Y0) ),
file('theBenchmark.p',axiom_27) ).
fof(axiom_28,axiom,
! [X] :
( cC118xcomp(X)
<=> ~ ? [Y] : ra_Px36(X,Y) ),
file('theBenchmark.p',axiom_28) ).
fof(axiom_29,axiom,
! [X] :
( cC12(X)
<=> ? [Y0] : ra_Px45(X,Y0) ),
file('theBenchmark.p',axiom_29) ).
fof(axiom_30,axiom,
! [X] :
( cC12(X)
<=> ? [Y] :
( cC10(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_30) ).
fof(axiom_31,axiom,
! [X] :
( cC12xcomp(X)
<=> ~ ? [Y] : ra_Px45(X,Y) ),
file('theBenchmark.p',axiom_31) ).
fof(axiom_32,axiom,
! [X] :
( cC120(X)
<=> ? [Y] :
( cC118xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_32) ).
fof(axiom_33,axiom,
! [X] :
( cC122(X)
<=> ( cC120(X)
& cC2xcomp(X) ) ),
file('theBenchmark.p',axiom_33) ).
fof(axiom_34,axiom,
! [X] :
( cC124(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_34) ).
fof(axiom_35,axiom,
! [X] :
( cC126(X)
<=> ( cC124(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_35) ).
fof(axiom_36,axiom,
! [X] :
( cC128(X)
<=> ~ ? [Y] : ra_Px40(X,Y) ),
file('theBenchmark.p',axiom_36) ).
fof(axiom_37,axiom,
! [X] :
( cC128(X)
<=> ? [Y] :
( cC126(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_37) ).
fof(axiom_38,axiom,
! [X] :
( cC128xcomp(X)
<=> ? [Y0] : ra_Px40(X,Y0) ),
file('theBenchmark.p',axiom_38) ).
fof(axiom_39,axiom,
! [X] :
( cC130(X)
<=> ? [Y0] : ra_Px47(X,Y0) ),
file('theBenchmark.p',axiom_39) ).
fof(axiom_40,axiom,
! [X] :
( cC130(X)
<=> ( cC128xcomp(X)
& cC2xcomp(X) ) ),
file('theBenchmark.p',axiom_40) ).
fof(axiom_41,axiom,
! [X] :
( cC130xcomp(X)
<=> ~ ? [Y] : ra_Px47(X,Y) ),
file('theBenchmark.p',axiom_41) ).
fof(axiom_42,axiom,
! [X] :
( cC132(X)
<=> ? [Y0] : ra_Px41(X,Y0) ),
file('theBenchmark.p',axiom_42) ).
fof(axiom_43,axiom,
! [X] :
( cC132(X)
<=> ? [Y] :
( cC130(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_43) ).
fof(axiom_44,axiom,
! [X] :
( cC132xcomp(X)
<=> ~ ? [Y] : ra_Px41(X,Y) ),
file('theBenchmark.p',axiom_44) ).
fof(axiom_45,axiom,
! [X] :
( cC134(X)
<=> ( cC122(X)
& cC132xcomp(X) ) ),
file('theBenchmark.p',axiom_45) ).
fof(axiom_46,axiom,
! [X] :
( cC136(X)
<=> ? [Y] :
( cC134(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_46) ).
fof(axiom_47,axiom,
! [X] :
( cC138(X)
<=> ? [Y] :
( cC136(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_47) ).
fof(axiom_48,axiom,
! [X] :
( cC14(X)
<=> ? [Y] :
( cC12(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_48) ).
fof(axiom_49,axiom,
! [X] :
( cC140(X)
<=> ( cC138(X)
& cTOP(X) ) ),
file('theBenchmark.p',axiom_49) ).
fof(axiom_50,axiom,
! [X] :
( cC16(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_50) ).
fof(axiom_51,axiom,
! [X] :
( cC18(X)
<=> ( cC2(X)
& cC16(X) ) ),
file('theBenchmark.p',axiom_51) ).
fof(axiom_52,axiom,
! [X] :
( cC2(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ),
file('theBenchmark.p',axiom_52) ).
fof(axiom_53,axiom,
! [X] :
( cC2xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ),
file('theBenchmark.p',axiom_53) ).
fof(axiom_54,axiom,
! [X] :
( cC20(X)
<=> ? [Y0] : ra_Px5(X,Y0) ),
file('theBenchmark.p',axiom_54) ).
fof(axiom_55,axiom,
! [X] :
( cC20(X)
<=> ? [Y] :
( cC18(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_55) ).
fof(axiom_56,axiom,
! [X] :
( cC20xcomp(X)
<=> ~ ? [Y] : ra_Px5(X,Y) ),
file('theBenchmark.p',axiom_56) ).
fof(axiom_57,axiom,
! [X] :
( cC22(X)
<=> ( cC20xcomp(X)
& cC2xcomp(X) ) ),
file('theBenchmark.p',axiom_57) ).
fof(axiom_58,axiom,
! [X] :
( cC24(X)
<=> ? [Y] :
( cC22(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_58) ).
fof(axiom_59,axiom,
! [X] :
( cC24(X)
<=> ? [Y0] : ra_Px6(X,Y0) ),
file('theBenchmark.p',axiom_59) ).
fof(axiom_60,axiom,
! [X] :
( cC24xcomp(X)
<=> ~ ? [Y] : ra_Px6(X,Y) ),
file('theBenchmark.p',axiom_60) ).
fof(axiom_61,axiom,
! [X] :
( cC26(X)
<=> ( cC24xcomp(X)
& cC14(X) ) ),
file('theBenchmark.p',axiom_61) ).
fof(axiom_62,axiom,
! [X] :
( cC26(X)
<=> ~ ? [Y] : ra_Px10(X,Y) ),
file('theBenchmark.p',axiom_62) ).
fof(axiom_63,axiom,
! [X] :
( cC26xcomp(X)
<=> ? [Y0] : ra_Px10(X,Y0) ),
file('theBenchmark.p',axiom_63) ).
fof(axiom_64,axiom,
! [X] :
( cC28(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_64) ).
fof(axiom_65,axiom,
! [X] :
( cC28(X)
<=> ~ ? [Y] : ra_Px49(X,Y) ),
file('theBenchmark.p',axiom_65) ).
fof(axiom_66,axiom,
! [X] :
( cC28xcomp(X)
<=> ? [Y0] : ra_Px49(X,Y0) ),
file('theBenchmark.p',axiom_66) ).
fof(axiom_67,axiom,
! [X] :
( cC30(X)
<=> ? [Y] :
( cC28(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_67) ).
fof(axiom_68,axiom,
! [X] :
( cC30(X)
<=> ? [Y0] : ra_Px44(X,Y0) ),
file('theBenchmark.p',axiom_68) ).
fof(axiom_69,axiom,
! [X] :
( cC30xcomp(X)
<=> ~ ? [Y] : ra_Px44(X,Y) ),
file('theBenchmark.p',axiom_69) ).
fof(axiom_70,axiom,
! [X] :
( cC32(X)
<=> ? [Y0] : ra_Px9(X,Y0) ),
file('theBenchmark.p',axiom_70) ).
fof(axiom_71,axiom,
! [X] :
( cC32(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_71) ).
fof(axiom_72,axiom,
! [X] :
( cC32xcomp(X)
<=> ~ ? [Y] : ra_Px9(X,Y) ),
file('theBenchmark.p',axiom_72) ).
fof(axiom_73,axiom,
! [X] :
( cC34(X)
<=> ~ ? [Y] : ra_Px46(X,Y) ),
file('theBenchmark.p',axiom_73) ).
fof(axiom_74,axiom,
! [X] :
( cC34(X)
<=> ( cC30(X)
& cC32xcomp(X) ) ),
file('theBenchmark.p',axiom_74) ).
fof(axiom_75,axiom,
! [X] :
( cC34xcomp(X)
<=> ? [Y0] : ra_Px46(X,Y0) ),
file('theBenchmark.p',axiom_75) ).
fof(axiom_76,axiom,
! [X] :
( cC36(X)
<=> ? [Y0] : ra_Px11(X,Y0) ),
file('theBenchmark.p',axiom_76) ).
fof(axiom_77,axiom,
! [X] :
( cC36(X)
<=> ? [Y] :
( cC34(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_77) ).
fof(axiom_78,axiom,
! [X] :
( cC36xcomp(X)
<=> ~ ? [Y] : ra_Px11(X,Y) ),
file('theBenchmark.p',axiom_78) ).
fof(axiom_79,axiom,
! [X] :
( cC38(X)
<=> ( cC36xcomp(X)
& cC26xcomp(X) ) ),
file('theBenchmark.p',axiom_79) ).
fof(axiom_80,axiom,
! [X] :
( cC4(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_80) ).
fof(axiom_81,axiom,
! [X] :
( cC40(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_81) ).
fof(axiom_82,axiom,
! [X] :
( cC42(X)
<=> ( cC40(X)
& cC2xcomp(X) ) ),
file('theBenchmark.p',axiom_82) ).
fof(axiom_83,axiom,
! [X] :
( cC44(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_83) ).
fof(axiom_84,axiom,
! [X] :
( cC44(X)
<=> ? [Y0] : ra_Px15(X,Y0) ),
file('theBenchmark.p',axiom_84) ).
fof(axiom_85,axiom,
! [X] :
( cC44xcomp(X)
<=> ~ ? [Y] : ra_Px15(X,Y) ),
file('theBenchmark.p',axiom_85) ).
fof(axiom_86,axiom,
! [X] :
( cC46(X)
<=> ? [Y] :
( cC44xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_86) ).
fof(axiom_87,axiom,
! [X] :
( cC48(X)
<=> ( cC46(X)
& cC42(X) ) ),
file('theBenchmark.p',axiom_87) ).
fof(axiom_88,axiom,
! [X] :
( cC50(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_88) ).
fof(axiom_89,axiom,
! [X] :
( cC52(X)
<=> ( cC50(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_89) ).
fof(axiom_90,axiom,
! [X] :
( cC54(X)
<=> ? [Y0] : ra_Px18(X,Y0) ),
file('theBenchmark.p',axiom_90) ).
fof(axiom_91,axiom,
! [X] :
( cC54(X)
<=> ? [Y] :
( cC52(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_91) ).
fof(axiom_92,axiom,
! [X] :
( cC54xcomp(X)
<=> ~ ? [Y] : ra_Px18(X,Y) ),
file('theBenchmark.p',axiom_92) ).
fof(axiom_93,axiom,
! [X] :
( cC56(X)
<=> ( cC54xcomp(X)
& cC2xcomp(X) ) ),
file('theBenchmark.p',axiom_93) ).
fof(axiom_94,axiom,
! [X] :
( cC58(X)
<=> ? [Y] :
( cC56(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_94) ).
fof(axiom_95,axiom,
! [X] :
( cC58(X)
<=> ~ ? [Y] : ra_Px19(X,Y) ),
file('theBenchmark.p',axiom_95) ).
fof(axiom_96,axiom,
! [X] :
( cC58xcomp(X)
<=> ? [Y0] : ra_Px19(X,Y0) ),
file('theBenchmark.p',axiom_96) ).
fof(axiom_97,axiom,
! [X] :
( cC6(X)
<=> ( cC4(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_97) ).
fof(axiom_98,axiom,
! [X] :
( cC60(X)
<=> ( cC58xcomp(X)
& cC48(X) ) ),
file('theBenchmark.p',axiom_98) ).
fof(axiom_99,axiom,
! [X] :
( cC60(X)
<=> ? [Y0] : ra_Px20(X,Y0) ),
file('theBenchmark.p',axiom_99) ).
fof(axiom_100,axiom,
! [X] :
( cC60xcomp(X)
<=> ~ ? [Y] : ra_Px20(X,Y) ),
file('theBenchmark.p',axiom_100) ).
fof(axiom_101,axiom,
! [X] :
( cC62(X)
<=> ( cC60xcomp(X)
& cC38(X) ) ),
file('theBenchmark.p',axiom_101) ).
fof(axiom_102,axiom,
! [X] :
( cC64(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_102) ).
fof(axiom_103,axiom,
! [X] :
( cC66(X)
<=> ( cC2(X)
& cC64(X) ) ),
file('theBenchmark.p',axiom_103) ).
fof(axiom_104,axiom,
! [X] :
( cC68(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_104) ).
fof(axiom_105,axiom,
! [X] :
( cC70(X)
<=> ( cC68(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_105) ).
fof(axiom_106,axiom,
! [X] :
( cC72(X)
<=> ? [Y] :
( cC70(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_106) ).
fof(axiom_107,axiom,
! [X] :
( cC74(X)
<=> ( cC72(X)
& cC66(X) ) ),
file('theBenchmark.p',axiom_107) ).
fof(axiom_108,axiom,
! [X] :
( cC76(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_108) ).
fof(axiom_109,axiom,
! [X] :
( cC78(X)
<=> ( cC76(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_109) ).
fof(axiom_110,axiom,
! [X] :
( cC8(X)
<=> ? [Y] :
( cC6(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_110) ).
fof(axiom_111,axiom,
! [X] :
( cC8(X)
<=> ? [Y0] : ra_Px2(X,Y0) ),
file('theBenchmark.p',axiom_111) ).
fof(axiom_112,axiom,
! [X] :
( cC8xcomp(X)
<=> ~ ? [Y] : ra_Px2(X,Y) ),
file('theBenchmark.p',axiom_112) ).
fof(axiom_113,axiom,
! [X] :
( cC80(X)
<=> ? [Y0] : ra_Px24(X,Y0) ),
file('theBenchmark.p',axiom_113) ).
fof(axiom_114,axiom,
! [X] :
( cC80(X)
<=> ? [Y] :
( cC78(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_114) ).
fof(axiom_115,axiom,
! [X] :
( cC80xcomp(X)
<=> ~ ? [Y] : ra_Px24(X,Y) ),
file('theBenchmark.p',axiom_115) ).
fof(axiom_116,axiom,
! [X] :
( cC82(X)
<=> ? [Y] :
( cC80xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_116) ).
fof(axiom_117,axiom,
! [X] :
( cC84(X)
<=> ( cC74(X)
& cC82(X) ) ),
file('theBenchmark.p',axiom_117) ).
fof(axiom_118,axiom,
! [X] :
( cC86(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_118) ).
fof(axiom_119,axiom,
! [X] :
( cC88(X)
<=> ( cC2(X)
& cC86(X) ) ),
file('theBenchmark.p',axiom_119) ).
fof(axiom_120,axiom,
! [X] :
( cC90(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_120) ).
fof(axiom_121,axiom,
! [X] :
( cC92(X)
<=> ( cC90(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_121) ).
fof(axiom_122,axiom,
! [X] :
( cC94(X)
<=> ? [Y] :
( cC92(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_122) ).
fof(axiom_123,axiom,
! [X] :
( cC96(X)
<=> ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) ) ),
file('theBenchmark.p',axiom_123) ).
fof(axiom_124,axiom,
! [X] :
( cC98(X)
<=> ( cC96(X)
& cC2(X) ) ),
file('theBenchmark.p',axiom_124) ).
fof(axiom_125,axiom,
! [X] :
( cC98(X)
<=> ? [Y0] : ra_Px29(X,Y0) ),
file('theBenchmark.p',axiom_125) ).
fof(axiom_126,axiom,
! [X] :
( cC98xcomp(X)
<=> ~ ? [Y] : ra_Px29(X,Y) ),
file('theBenchmark.p',axiom_126) ).
fof(axiom_127,axiom,
! [X] :
( cTEST(X)
<=> ( cC116(X)
& cC140(X) ) ),
file('theBenchmark.p',axiom_127) ).
fof(axiom_128,axiom,
cTOP(iV5475),
file('theBenchmark.p',axiom_128) ).
fof(axiom_129,axiom,
cowlThing(iV5475),
file('theBenchmark.p',axiom_129) ).
fof(axiom_130,axiom,
cC114xcomp(iV5475),
file('theBenchmark.p',axiom_130) ).
fof(axiom_131,axiom,
cTEST(iV5475),
file('theBenchmark.p',axiom_131) ).
fof(axiom_132,axiom,
! [X] :
( rR1(iV5475,X)
=> cC112xcomp(X) ),
file('theBenchmark.p',axiom_132) ).
fof(axiom_133,axiom,
rR1(iV5475,iV5476),
file('theBenchmark.p',axiom_133) ).
fof(axiom_134,axiom,
cowlThing(iV5476),
file('theBenchmark.p',axiom_134) ).
fof(axiom_135,axiom,
cC12xcomp(iV5478),
file('theBenchmark.p',axiom_135) ).
fof(axiom_136,axiom,
cC30xcomp(iV5478),
file('theBenchmark.p',axiom_136) ).
fof(axiom_137,axiom,
cC2(iV5478),
file('theBenchmark.p',axiom_137) ).
fof(axiom_138,axiom,
cowlThing(iV5478),
file('theBenchmark.p',axiom_138) ).
fof(axiom_139,axiom,
cC118xcomp(iV5478),
file('theBenchmark.p',axiom_139) ).
fof(axiom_140,axiom,
! [X] :
( rR1(iV5478,X)
=> cC2(X) ),
file('theBenchmark.p',axiom_140) ).
fof(axiom_141,axiom,
cC130xcomp(iV5478),
file('theBenchmark.p',axiom_141) ).
fof(axiom_142,axiom,
cC34xcomp(iV5478),
file('theBenchmark.p',axiom_142) ).
fof(axiom_143,axiom,
! [X] :
( rR1(iV5478,X)
=> cC10xcomp(X) ),
file('theBenchmark.p',axiom_143) ).
fof(axiom_144,axiom,
! [X] :
( rR1(iV5478,X)
=> cC28xcomp(X) ),
file('theBenchmark.p',axiom_144) ).
fof(the_axiom,conjecture,
( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
file('theBenchmark.p',the_axiom) ).
fof(f_1_1,plain,
! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ),
inference(fof_nnf,[status(thm)],[axiom_0]) ).
fof(f_1_2,plain,
! [U_0] :
( ~ cowlNothing(U_0)
& cowlThing(U_0) ),
inference(variable_rename,[status(thm)],[f_1_1]) ).
fof(f_1_3,plain,
( ! [U_2] : ~ cowlNothing(U_2)
& ! [U_1] : cowlThing(U_1) ),
inference(miniscope,[status(thm)],[f_1_2]) ).
cnf(f_1_4,plain,
cowlThing(U_1),
inference(clausify,[status(thm)],[f_1_3]) ).
cnf(f_1_5,plain,
~ cowlNothing(U_2),
inference(clausify,[status(thm)],[f_1_3]) ).
fof(f_2_1,plain,
! [X] :
( ( xsd_string(X)
| xsd_integer(X) )
& ( ~ xsd_integer(X)
| ~ xsd_string(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_1]) ).
fof(f_2_2,plain,
! [U_3] :
( ( xsd_string(U_3)
| xsd_integer(U_3) )
& ( ~ xsd_integer(U_3)
| ~ xsd_string(U_3) ) ),
inference(variable_rename,[status(thm)],[f_2_1]) ).
fof(f_2_3,plain,
( ! [U_5] :
( xsd_string(U_5)
| xsd_integer(U_5) )
& ! [U_4] :
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ) ),
inference(miniscope,[status(thm)],[f_2_2]) ).
cnf(f_2_4,plain,
( ~ xsd_integer(U_4)
| ~ xsd_string(U_4) ),
inference(clausify,[status(thm)],[f_2_3]) ).
cnf(f_2_5,plain,
( xsd_string(U_5)
| xsd_integer(U_5) ),
inference(clausify,[status(thm)],[f_2_3]) ).
fof(f_3_1,plain,
! [X] :
( ( cC10(X)
| ! [Y0] : ~ ra_Px50(X,Y0) )
& ( ? [Y0] : ra_Px50(X,Y0)
| ~ cC10(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_2]) ).
fof(f_3_2,plain,
! [U_8] :
( ( cC10(U_8)
| ! [U_7] : ~ ra_Px50(U_8,U_7) )
& ( ? [U_6] : ra_Px50(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_Px50(U_10,U_7) )
& ! [U_9] :
( ? [U_6] : ra_Px50(U_9,U_6)
| ~ cC10(U_9) ) ),
inference(miniscope,[status(thm)],[f_3_2]) ).
fof(f_3_4,plain,
( ! [U_10] :
( cC10(U_10)
| ! [U_7] : ~ ra_Px50(U_10,U_7) )
& ! [U_9] :
( ra_Px50(U_9,sK1(U_9))
| ~ cC10(U_9) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(U_6,sK1(U_9))],[f_3_3]) ).
cnf(f_3_5,plain,
( ra_Px50(U_9,sK1(U_9))
| ~ cC10(U_9) ),
inference(clausify,[status(thm)],[f_3_4]) ).
cnf(f_3_6,plain,
( cC10(U_10)
| ~ ra_Px50(U_10,U_7) ),
inference(clausify,[status(thm)],[f_3_4]) ).
fof(f_4_1,plain,
! [X] :
( ( cC10(X)
| ~ cC8xcomp(X)
| ~ cC2xcomp(X) )
& ( ( cC8xcomp(X)
& cC2xcomp(X) )
| ~ cC10(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_3]) ).
fof(f_4_2,plain,
! [U_11] :
( ( cC10(U_11)
| ~ cC8xcomp(U_11)
| ~ cC2xcomp(U_11) )
& ( ( cC8xcomp(U_11)
& cC2xcomp(U_11) )
| ~ cC10(U_11) ) ),
inference(variable_rename,[status(thm)],[f_4_1]) ).
fof(f_4_3,plain,
( ! [U_13] :
( cC10(U_13)
| ~ cC8xcomp(U_13)
| ~ cC2xcomp(U_13) )
& ! [U_12] :
( ( cC8xcomp(U_12)
& cC2xcomp(U_12) )
| ~ cC10(U_12) ) ),
inference(miniscope,[status(thm)],[f_4_2]) ).
cnf(f_4_4,plain,
( cC2xcomp(U_12)
| ~ cC10(U_12) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_5,plain,
( cC8xcomp(U_12)
| ~ cC10(U_12) ),
inference(clausify,[status(thm)],[f_4_3]) ).
cnf(f_4_6,plain,
( cC10(U_13)
| ~ cC8xcomp(U_13)
| ~ cC2xcomp(U_13) ),
inference(clausify,[status(thm)],[f_4_3]) ).
fof(f_5_1,plain,
! [X] :
( ( cC10xcomp(X)
| ? [Y] : ra_Px50(X,Y) )
& ( ! [Y] : ~ ra_Px50(X,Y)
| ~ cC10xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_4]) ).
fof(f_5_2,plain,
! [U_16] :
( ( cC10xcomp(U_16)
| ? [U_15] : ra_Px50(U_16,U_15) )
& ( ! [U_14] : ~ ra_Px50(U_16,U_14)
| ~ cC10xcomp(U_16) ) ),
inference(variable_rename,[status(thm)],[f_5_1]) ).
fof(f_5_3,plain,
( ! [U_18] :
( cC10xcomp(U_18)
| ? [U_15] : ra_Px50(U_18,U_15) )
& ! [U_17] :
( ! [U_14] : ~ ra_Px50(U_17,U_14)
| ~ cC10xcomp(U_17) ) ),
inference(miniscope,[status(thm)],[f_5_2]) ).
fof(f_5_4,plain,
( ! [U_18] :
( cC10xcomp(U_18)
| ra_Px50(U_18,sK2(U_18)) )
& ! [U_17] :
( ! [U_14] : ~ ra_Px50(U_17,U_14)
| ~ cC10xcomp(U_17) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(U_15,sK2(U_18))],[f_5_3]) ).
cnf(f_5_5,plain,
( ~ ra_Px50(U_17,U_14)
| ~ cC10xcomp(U_17) ),
inference(clausify,[status(thm)],[f_5_4]) ).
cnf(f_5_6,plain,
( cC10xcomp(U_18)
| ra_Px50(U_18,sK2(U_18)) ),
inference(clausify,[status(thm)],[f_5_4]) ).
fof(f_6_1,plain,
! [X] :
( ( cC100(X)
| ~ cC94(X)
| ~ cC98xcomp(X) )
& ( ( cC94(X)
& cC98xcomp(X) )
| ~ cC100(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_5]) ).
fof(f_6_2,plain,
! [U_19] :
( ( cC100(U_19)
| ~ cC94(U_19)
| ~ cC98xcomp(U_19) )
& ( ( cC94(U_19)
& cC98xcomp(U_19) )
| ~ cC100(U_19) ) ),
inference(variable_rename,[status(thm)],[f_6_1]) ).
fof(f_6_3,plain,
( ! [U_21] :
( cC100(U_21)
| ~ cC94(U_21)
| ~ cC98xcomp(U_21) )
& ! [U_20] :
( ( cC94(U_20)
& cC98xcomp(U_20) )
| ~ cC100(U_20) ) ),
inference(miniscope,[status(thm)],[f_6_2]) ).
cnf(f_6_4,plain,
( cC98xcomp(U_20)
| ~ cC100(U_20) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_5,plain,
( cC94(U_20)
| ~ cC100(U_20) ),
inference(clausify,[status(thm)],[f_6_3]) ).
cnf(f_6_6,plain,
( cC100(U_21)
| ~ cC94(U_21)
| ~ cC98xcomp(U_21) ),
inference(clausify,[status(thm)],[f_6_3]) ).
fof(f_7_1,plain,
! [X] :
( ( cC102(X)
| ! [Y] :
( ~ cC100(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC100(Y)
& rR1(X,Y) )
| ~ cC102(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_6]) ).
fof(f_7_2,plain,
! [U_24] :
( ( cC102(U_24)
| ! [U_23] :
( ~ cC100(U_23)
| ~ rR1(U_24,U_23) ) )
& ( ? [U_22] :
( cC100(U_22)
& rR1(U_24,U_22) )
| ~ cC102(U_24) ) ),
inference(variable_rename,[status(thm)],[f_7_1]) ).
fof(f_7_3,plain,
( ! [U_26] :
( cC102(U_26)
| ! [U_23] :
( ~ cC100(U_23)
| ~ rR1(U_26,U_23) ) )
& ! [U_25] :
( ? [U_22] :
( cC100(U_22)
& rR1(U_25,U_22) )
| ~ cC102(U_25) ) ),
inference(miniscope,[status(thm)],[f_7_2]) ).
fof(f_7_4,plain,
( ! [U_26] :
( cC102(U_26)
| ! [U_23] :
( ~ cC100(U_23)
| ~ rR1(U_26,U_23) ) )
& ! [U_25] :
( ( cC100(sK3(U_25))
& rR1(U_25,sK3(U_25)) )
| ~ cC102(U_25) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(U_22,sK3(U_25))],[f_7_3]) ).
cnf(f_7_5,plain,
( rR1(U_25,sK3(U_25))
| ~ cC102(U_25) ),
inference(clausify,[status(thm)],[f_7_4]) ).
cnf(f_7_6,plain,
( cC100(sK3(U_25))
| ~ cC102(U_25) ),
inference(clausify,[status(thm)],[f_7_4]) ).
cnf(f_7_7,plain,
( cC102(U_26)
| ~ cC100(U_23)
| ~ rR1(U_26,U_23) ),
inference(clausify,[status(thm)],[f_7_4]) ).
fof(f_8_1,plain,
! [X] :
( ( cC102(X)
| ! [Y0] : ~ ra_Px30(X,Y0) )
& ( ? [Y0] : ra_Px30(X,Y0)
| ~ cC102(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_7]) ).
fof(f_8_2,plain,
! [U_29] :
( ( cC102(U_29)
| ! [U_28] : ~ ra_Px30(U_29,U_28) )
& ( ? [U_27] : ra_Px30(U_29,U_27)
| ~ cC102(U_29) ) ),
inference(variable_rename,[status(thm)],[f_8_1]) ).
fof(f_8_3,plain,
( ! [U_31] :
( cC102(U_31)
| ! [U_28] : ~ ra_Px30(U_31,U_28) )
& ! [U_30] :
( ? [U_27] : ra_Px30(U_30,U_27)
| ~ cC102(U_30) ) ),
inference(miniscope,[status(thm)],[f_8_2]) ).
fof(f_8_4,plain,
( ! [U_31] :
( cC102(U_31)
| ! [U_28] : ~ ra_Px30(U_31,U_28) )
& ! [U_30] :
( ra_Px30(U_30,sK4(U_30))
| ~ cC102(U_30) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(U_27,sK4(U_30))],[f_8_3]) ).
cnf(f_8_5,plain,
( ra_Px30(U_30,sK4(U_30))
| ~ cC102(U_30) ),
inference(clausify,[status(thm)],[f_8_4]) ).
cnf(f_8_6,plain,
( cC102(U_31)
| ~ ra_Px30(U_31,U_28) ),
inference(clausify,[status(thm)],[f_8_4]) ).
fof(f_9_1,plain,
! [X] :
( ( cC102xcomp(X)
| ? [Y] : ra_Px30(X,Y) )
& ( ! [Y] : ~ ra_Px30(X,Y)
| ~ cC102xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_8]) ).
fof(f_9_2,plain,
! [U_34] :
( ( cC102xcomp(U_34)
| ? [U_33] : ra_Px30(U_34,U_33) )
& ( ! [U_32] : ~ ra_Px30(U_34,U_32)
| ~ cC102xcomp(U_34) ) ),
inference(variable_rename,[status(thm)],[f_9_1]) ).
fof(f_9_3,plain,
( ! [U_36] :
( cC102xcomp(U_36)
| ? [U_33] : ra_Px30(U_36,U_33) )
& ! [U_35] :
( ! [U_32] : ~ ra_Px30(U_35,U_32)
| ~ cC102xcomp(U_35) ) ),
inference(miniscope,[status(thm)],[f_9_2]) ).
fof(f_9_4,plain,
( ! [U_36] :
( cC102xcomp(U_36)
| ra_Px30(U_36,sK5(U_36)) )
& ! [U_35] :
( ! [U_32] : ~ ra_Px30(U_35,U_32)
| ~ cC102xcomp(U_35) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(U_33,sK5(U_36))],[f_9_3]) ).
cnf(f_9_5,plain,
( ~ ra_Px30(U_35,U_32)
| ~ cC102xcomp(U_35) ),
inference(clausify,[status(thm)],[f_9_4]) ).
cnf(f_9_6,plain,
( cC102xcomp(U_36)
| ra_Px30(U_36,sK5(U_36)) ),
inference(clausify,[status(thm)],[f_9_4]) ).
fof(f_10_1,plain,
! [X] :
( ( cC104(X)
| ~ cC88(X)
| ~ cC102xcomp(X) )
& ( ( cC88(X)
& cC102xcomp(X) )
| ~ cC104(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_9]) ).
fof(f_10_2,plain,
! [U_37] :
( ( cC104(U_37)
| ~ cC88(U_37)
| ~ cC102xcomp(U_37) )
& ( ( cC88(U_37)
& cC102xcomp(U_37) )
| ~ cC104(U_37) ) ),
inference(variable_rename,[status(thm)],[f_10_1]) ).
fof(f_10_3,plain,
( ! [U_39] :
( cC104(U_39)
| ~ cC88(U_39)
| ~ cC102xcomp(U_39) )
& ! [U_38] :
( ( cC88(U_38)
& cC102xcomp(U_38) )
| ~ cC104(U_38) ) ),
inference(miniscope,[status(thm)],[f_10_2]) ).
cnf(f_10_4,plain,
( cC102xcomp(U_38)
| ~ cC104(U_38) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_5,plain,
( cC88(U_38)
| ~ cC104(U_38) ),
inference(clausify,[status(thm)],[f_10_3]) ).
cnf(f_10_6,plain,
( cC104(U_39)
| ~ cC88(U_39)
| ~ cC102xcomp(U_39) ),
inference(clausify,[status(thm)],[f_10_3]) ).
fof(f_11_1,plain,
! [X] :
( ( cC106(X)
| ! [Y] :
( ~ cC104(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC104(Y)
& rR1(X,Y) )
| ~ cC106(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_10]) ).
fof(f_11_2,plain,
! [U_42] :
( ( cC106(U_42)
| ! [U_41] :
( ~ cC104(U_41)
| ~ rR1(U_42,U_41) ) )
& ( ? [U_40] :
( cC104(U_40)
& rR1(U_42,U_40) )
| ~ cC106(U_42) ) ),
inference(variable_rename,[status(thm)],[f_11_1]) ).
fof(f_11_3,plain,
( ! [U_44] :
( cC106(U_44)
| ! [U_41] :
( ~ cC104(U_41)
| ~ rR1(U_44,U_41) ) )
& ! [U_43] :
( ? [U_40] :
( cC104(U_40)
& rR1(U_43,U_40) )
| ~ cC106(U_43) ) ),
inference(miniscope,[status(thm)],[f_11_2]) ).
fof(f_11_4,plain,
( ! [U_44] :
( cC106(U_44)
| ! [U_41] :
( ~ cC104(U_41)
| ~ rR1(U_44,U_41) ) )
& ! [U_43] :
( ( cC104(sK6(U_43))
& rR1(U_43,sK6(U_43)) )
| ~ cC106(U_43) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(U_40,sK6(U_43))],[f_11_3]) ).
cnf(f_11_5,plain,
( rR1(U_43,sK6(U_43))
| ~ cC106(U_43) ),
inference(clausify,[status(thm)],[f_11_4]) ).
cnf(f_11_6,plain,
( cC104(sK6(U_43))
| ~ cC106(U_43) ),
inference(clausify,[status(thm)],[f_11_4]) ).
cnf(f_11_7,plain,
( cC106(U_44)
| ~ cC104(U_41)
| ~ rR1(U_44,U_41) ),
inference(clausify,[status(thm)],[f_11_4]) ).
fof(f_12_1,plain,
! [X] :
( ( cC106(X)
| ? [Y] : ra_Px31(X,Y) )
& ( ! [Y] : ~ ra_Px31(X,Y)
| ~ cC106(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_11]) ).
fof(f_12_2,plain,
! [U_47] :
( ( cC106(U_47)
| ? [U_46] : ra_Px31(U_47,U_46) )
& ( ! [U_45] : ~ ra_Px31(U_47,U_45)
| ~ cC106(U_47) ) ),
inference(variable_rename,[status(thm)],[f_12_1]) ).
fof(f_12_3,plain,
( ! [U_49] :
( cC106(U_49)
| ? [U_46] : ra_Px31(U_49,U_46) )
& ! [U_48] :
( ! [U_45] : ~ ra_Px31(U_48,U_45)
| ~ cC106(U_48) ) ),
inference(miniscope,[status(thm)],[f_12_2]) ).
fof(f_12_4,plain,
( ! [U_49] :
( cC106(U_49)
| ra_Px31(U_49,sK7(U_49)) )
& ! [U_48] :
( ! [U_45] : ~ ra_Px31(U_48,U_45)
| ~ cC106(U_48) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(U_46,sK7(U_49))],[f_12_3]) ).
cnf(f_12_5,plain,
( ~ ra_Px31(U_48,U_45)
| ~ cC106(U_48) ),
inference(clausify,[status(thm)],[f_12_4]) ).
cnf(f_12_6,plain,
( cC106(U_49)
| ra_Px31(U_49,sK7(U_49)) ),
inference(clausify,[status(thm)],[f_12_4]) ).
fof(f_13_1,plain,
! [X] :
( ( cC106xcomp(X)
| ! [Y0] : ~ ra_Px31(X,Y0) )
& ( ? [Y0] : ra_Px31(X,Y0)
| ~ cC106xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_12]) ).
fof(f_13_2,plain,
! [U_52] :
( ( cC106xcomp(U_52)
| ! [U_51] : ~ ra_Px31(U_52,U_51) )
& ( ? [U_50] : ra_Px31(U_52,U_50)
| ~ cC106xcomp(U_52) ) ),
inference(variable_rename,[status(thm)],[f_13_1]) ).
fof(f_13_3,plain,
( ! [U_54] :
( cC106xcomp(U_54)
| ! [U_51] : ~ ra_Px31(U_54,U_51) )
& ! [U_53] :
( ? [U_50] : ra_Px31(U_53,U_50)
| ~ cC106xcomp(U_53) ) ),
inference(miniscope,[status(thm)],[f_13_2]) ).
fof(f_13_4,plain,
( ! [U_54] :
( cC106xcomp(U_54)
| ! [U_51] : ~ ra_Px31(U_54,U_51) )
& ! [U_53] :
( ra_Px31(U_53,sK8(U_53))
| ~ cC106xcomp(U_53) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(U_50,sK8(U_53))],[f_13_3]) ).
cnf(f_13_5,plain,
( ra_Px31(U_53,sK8(U_53))
| ~ cC106xcomp(U_53) ),
inference(clausify,[status(thm)],[f_13_4]) ).
cnf(f_13_6,plain,
( cC106xcomp(U_54)
| ~ ra_Px31(U_54,U_51) ),
inference(clausify,[status(thm)],[f_13_4]) ).
fof(f_14_1,plain,
! [X] :
( ( cC108(X)
| ! [Y0] : ~ ra_Px32(X,Y0) )
& ( ? [Y0] : ra_Px32(X,Y0)
| ~ cC108(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_13]) ).
fof(f_14_2,plain,
! [U_57] :
( ( cC108(U_57)
| ! [U_56] : ~ ra_Px32(U_57,U_56) )
& ( ? [U_55] : ra_Px32(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_Px32(U_59,U_56) )
& ! [U_58] :
( ? [U_55] : ra_Px32(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_Px32(U_59,U_56) )
& ! [U_58] :
( ra_Px32(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_Px32(U_58,sK9(U_58))
| ~ cC108(U_58) ),
inference(clausify,[status(thm)],[f_14_4]) ).
cnf(f_14_6,plain,
( cC108(U_59)
| ~ ra_Px32(U_59,U_56) ),
inference(clausify,[status(thm)],[f_14_4]) ).
fof(f_15_1,plain,
! [X] :
( ( cC108(X)
| ~ cC106xcomp(X)
| ~ cC84(X) )
& ( ( cC106xcomp(X)
& cC84(X) )
| ~ cC108(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_14]) ).
fof(f_15_2,plain,
! [U_60] :
( ( cC108(U_60)
| ~ cC106xcomp(U_60)
| ~ cC84(U_60) )
& ( ( cC106xcomp(U_60)
& cC84(U_60) )
| ~ cC108(U_60) ) ),
inference(variable_rename,[status(thm)],[f_15_1]) ).
fof(f_15_3,plain,
( ! [U_62] :
( cC108(U_62)
| ~ cC106xcomp(U_62)
| ~ cC84(U_62) )
& ! [U_61] :
( ( cC106xcomp(U_61)
& cC84(U_61) )
| ~ cC108(U_61) ) ),
inference(miniscope,[status(thm)],[f_15_2]) ).
cnf(f_15_4,plain,
( cC84(U_61)
| ~ cC108(U_61) ),
inference(clausify,[status(thm)],[f_15_3]) ).
cnf(f_15_5,plain,
( cC106xcomp(U_61)
| ~ cC108(U_61) ),
inference(clausify,[status(thm)],[f_15_3]) ).
cnf(f_15_6,plain,
( cC108(U_62)
| ~ cC106xcomp(U_62)
| ~ cC84(U_62) ),
inference(clausify,[status(thm)],[f_15_3]) ).
fof(f_16_1,plain,
! [X] :
( ( cC108xcomp(X)
| ? [Y] : ra_Px32(X,Y) )
& ( ! [Y] : ~ ra_Px32(X,Y)
| ~ cC108xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_15]) ).
fof(f_16_2,plain,
! [U_65] :
( ( cC108xcomp(U_65)
| ? [U_64] : ra_Px32(U_65,U_64) )
& ( ! [U_63] : ~ ra_Px32(U_65,U_63)
| ~ cC108xcomp(U_65) ) ),
inference(variable_rename,[status(thm)],[f_16_1]) ).
fof(f_16_3,plain,
( ! [U_67] :
( cC108xcomp(U_67)
| ? [U_64] : ra_Px32(U_67,U_64) )
& ! [U_66] :
( ! [U_63] : ~ ra_Px32(U_66,U_63)
| ~ cC108xcomp(U_66) ) ),
inference(miniscope,[status(thm)],[f_16_2]) ).
fof(f_16_4,plain,
( ! [U_67] :
( cC108xcomp(U_67)
| ra_Px32(U_67,sK10(U_67)) )
& ! [U_66] :
( ! [U_63] : ~ ra_Px32(U_66,U_63)
| ~ cC108xcomp(U_66) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(U_64,sK10(U_67))],[f_16_3]) ).
cnf(f_16_5,plain,
( ~ ra_Px32(U_66,U_63)
| ~ cC108xcomp(U_66) ),
inference(clausify,[status(thm)],[f_16_4]) ).
cnf(f_16_6,plain,
( cC108xcomp(U_67)
| ra_Px32(U_67,sK10(U_67)) ),
inference(clausify,[status(thm)],[f_16_4]) ).
fof(f_17_1,plain,
! [X] :
( ( cC110(X)
| ~ cC108xcomp(X)
| ~ cC62(X) )
& ( ( cC108xcomp(X)
& cC62(X) )
| ~ cC110(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_16]) ).
fof(f_17_2,plain,
! [U_68] :
( ( cC110(U_68)
| ~ cC108xcomp(U_68)
| ~ cC62(U_68) )
& ( ( cC108xcomp(U_68)
& cC62(U_68) )
| ~ cC110(U_68) ) ),
inference(variable_rename,[status(thm)],[f_17_1]) ).
fof(f_17_3,plain,
( ! [U_70] :
( cC110(U_70)
| ~ cC108xcomp(U_70)
| ~ cC62(U_70) )
& ! [U_69] :
( ( cC108xcomp(U_69)
& cC62(U_69) )
| ~ cC110(U_69) ) ),
inference(miniscope,[status(thm)],[f_17_2]) ).
cnf(f_17_4,plain,
( cC62(U_69)
| ~ cC110(U_69) ),
inference(clausify,[status(thm)],[f_17_3]) ).
cnf(f_17_5,plain,
( cC108xcomp(U_69)
| ~ cC110(U_69) ),
inference(clausify,[status(thm)],[f_17_3]) ).
cnf(f_17_6,plain,
( cC110(U_70)
| ~ cC108xcomp(U_70)
| ~ cC62(U_70) ),
inference(clausify,[status(thm)],[f_17_3]) ).
fof(f_18_1,plain,
! [X] :
( ( cC110(X)
| ! [Y0] : ~ ra_Px33(X,Y0) )
& ( ? [Y0] : ra_Px33(X,Y0)
| ~ cC110(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_17]) ).
fof(f_18_2,plain,
! [U_73] :
( ( cC110(U_73)
| ! [U_72] : ~ ra_Px33(U_73,U_72) )
& ( ? [U_71] : ra_Px33(U_73,U_71)
| ~ cC110(U_73) ) ),
inference(variable_rename,[status(thm)],[f_18_1]) ).
fof(f_18_3,plain,
( ! [U_75] :
( cC110(U_75)
| ! [U_72] : ~ ra_Px33(U_75,U_72) )
& ! [U_74] :
( ? [U_71] : ra_Px33(U_74,U_71)
| ~ cC110(U_74) ) ),
inference(miniscope,[status(thm)],[f_18_2]) ).
fof(f_18_4,plain,
( ! [U_75] :
( cC110(U_75)
| ! [U_72] : ~ ra_Px33(U_75,U_72) )
& ! [U_74] :
( ra_Px33(U_74,sK11(U_74))
| ~ cC110(U_74) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(U_71,sK11(U_74))],[f_18_3]) ).
cnf(f_18_5,plain,
( ra_Px33(U_74,sK11(U_74))
| ~ cC110(U_74) ),
inference(clausify,[status(thm)],[f_18_4]) ).
cnf(f_18_6,plain,
( cC110(U_75)
| ~ ra_Px33(U_75,U_72) ),
inference(clausify,[status(thm)],[f_18_4]) ).
fof(f_19_1,plain,
! [X] :
( ( cC110xcomp(X)
| ? [Y] : ra_Px33(X,Y) )
& ( ! [Y] : ~ ra_Px33(X,Y)
| ~ cC110xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_18]) ).
fof(f_19_2,plain,
! [U_78] :
( ( cC110xcomp(U_78)
| ? [U_77] : ra_Px33(U_78,U_77) )
& ( ! [U_76] : ~ ra_Px33(U_78,U_76)
| ~ cC110xcomp(U_78) ) ),
inference(variable_rename,[status(thm)],[f_19_1]) ).
fof(f_19_3,plain,
( ! [U_80] :
( cC110xcomp(U_80)
| ? [U_77] : ra_Px33(U_80,U_77) )
& ! [U_79] :
( ! [U_76] : ~ ra_Px33(U_79,U_76)
| ~ cC110xcomp(U_79) ) ),
inference(miniscope,[status(thm)],[f_19_2]) ).
fof(f_19_4,plain,
( ! [U_80] :
( cC110xcomp(U_80)
| ra_Px33(U_80,sK12(U_80)) )
& ! [U_79] :
( ! [U_76] : ~ ra_Px33(U_79,U_76)
| ~ cC110xcomp(U_79) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(U_77,sK12(U_80))],[f_19_3]) ).
cnf(f_19_5,plain,
( ~ ra_Px33(U_79,U_76)
| ~ cC110xcomp(U_79) ),
inference(clausify,[status(thm)],[f_19_4]) ).
cnf(f_19_6,plain,
( cC110xcomp(U_80)
| ra_Px33(U_80,sK12(U_80)) ),
inference(clausify,[status(thm)],[f_19_4]) ).
fof(f_20_1,plain,
! [X] :
( ( cC112(X)
| ? [Y] : ra_Px43(X,Y) )
& ( ! [Y] : ~ ra_Px43(X,Y)
| ~ cC112(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_19]) ).
fof(f_20_2,plain,
! [U_83] :
( ( cC112(U_83)
| ? [U_82] : ra_Px43(U_83,U_82) )
& ( ! [U_81] : ~ ra_Px43(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_Px43(U_85,U_82) )
& ! [U_84] :
( ! [U_81] : ~ ra_Px43(U_84,U_81)
| ~ cC112(U_84) ) ),
inference(miniscope,[status(thm)],[f_20_2]) ).
fof(f_20_4,plain,
( ! [U_85] :
( cC112(U_85)
| ra_Px43(U_85,sK13(U_85)) )
& ! [U_84] :
( ! [U_81] : ~ ra_Px43(U_84,U_81)
| ~ cC112(U_84) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(U_82,sK13(U_85))],[f_20_3]) ).
cnf(f_20_5,plain,
( ~ ra_Px43(U_84,U_81)
| ~ cC112(U_84) ),
inference(clausify,[status(thm)],[f_20_4]) ).
cnf(f_20_6,plain,
( cC112(U_85)
| ra_Px43(U_85,sK13(U_85)) ),
inference(clausify,[status(thm)],[f_20_4]) ).
fof(f_21_1,plain,
! [X] :
( ( cC112(X)
| ! [Y] :
( ~ cC110xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC110xcomp(Y)
& rR1(X,Y) )
| ~ cC112(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_20]) ).
fof(f_21_2,plain,
! [U_88] :
( ( cC112(U_88)
| ! [U_87] :
( ~ cC110xcomp(U_87)
| ~ rR1(U_88,U_87) ) )
& ( ? [U_86] :
( cC110xcomp(U_86)
& rR1(U_88,U_86) )
| ~ cC112(U_88) ) ),
inference(variable_rename,[status(thm)],[f_21_1]) ).
fof(f_21_3,plain,
( ! [U_90] :
( cC112(U_90)
| ! [U_87] :
( ~ cC110xcomp(U_87)
| ~ rR1(U_90,U_87) ) )
& ! [U_89] :
( ? [U_86] :
( cC110xcomp(U_86)
& rR1(U_89,U_86) )
| ~ cC112(U_89) ) ),
inference(miniscope,[status(thm)],[f_21_2]) ).
fof(f_21_4,plain,
( ! [U_90] :
( cC112(U_90)
| ! [U_87] :
( ~ cC110xcomp(U_87)
| ~ rR1(U_90,U_87) ) )
& ! [U_89] :
( ( cC110xcomp(sK14(U_89))
& rR1(U_89,sK14(U_89)) )
| ~ cC112(U_89) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(U_86,sK14(U_89))],[f_21_3]) ).
cnf(f_21_5,plain,
( rR1(U_89,sK14(U_89))
| ~ cC112(U_89) ),
inference(clausify,[status(thm)],[f_21_4]) ).
cnf(f_21_6,plain,
( cC110xcomp(sK14(U_89))
| ~ cC112(U_89) ),
inference(clausify,[status(thm)],[f_21_4]) ).
cnf(f_21_7,plain,
( cC112(U_90)
| ~ cC110xcomp(U_87)
| ~ rR1(U_90,U_87) ),
inference(clausify,[status(thm)],[f_21_4]) ).
fof(f_22_1,plain,
! [X] :
( ( cC112xcomp(X)
| ! [Y0] : ~ ra_Px43(X,Y0) )
& ( ? [Y0] : ra_Px43(X,Y0)
| ~ cC112xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_21]) ).
fof(f_22_2,plain,
! [U_93] :
( ( cC112xcomp(U_93)
| ! [U_92] : ~ ra_Px43(U_93,U_92) )
& ( ? [U_91] : ra_Px43(U_93,U_91)
| ~ cC112xcomp(U_93) ) ),
inference(variable_rename,[status(thm)],[f_22_1]) ).
fof(f_22_3,plain,
( ! [U_95] :
( cC112xcomp(U_95)
| ! [U_92] : ~ ra_Px43(U_95,U_92) )
& ! [U_94] :
( ? [U_91] : ra_Px43(U_94,U_91)
| ~ cC112xcomp(U_94) ) ),
inference(miniscope,[status(thm)],[f_22_2]) ).
fof(f_22_4,plain,
( ! [U_95] :
( cC112xcomp(U_95)
| ! [U_92] : ~ ra_Px43(U_95,U_92) )
& ! [U_94] :
( ra_Px43(U_94,sK15(U_94))
| ~ cC112xcomp(U_94) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(U_91,sK15(U_94))],[f_22_3]) ).
cnf(f_22_5,plain,
( ra_Px43(U_94,sK15(U_94))
| ~ cC112xcomp(U_94) ),
inference(clausify,[status(thm)],[f_22_4]) ).
cnf(f_22_6,plain,
( cC112xcomp(U_95)
| ~ ra_Px43(U_95,U_92) ),
inference(clausify,[status(thm)],[f_22_4]) ).
fof(f_23_1,plain,
! [X] :
( ( cC114(X)
| ? [Y] : ra_Px34(X,Y) )
& ( ! [Y] : ~ ra_Px34(X,Y)
| ~ cC114(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_22]) ).
fof(f_23_2,plain,
! [U_98] :
( ( cC114(U_98)
| ? [U_97] : ra_Px34(U_98,U_97) )
& ( ! [U_96] : ~ ra_Px34(U_98,U_96)
| ~ cC114(U_98) ) ),
inference(variable_rename,[status(thm)],[f_23_1]) ).
fof(f_23_3,plain,
( ! [U_100] :
( cC114(U_100)
| ? [U_97] : ra_Px34(U_100,U_97) )
& ! [U_99] :
( ! [U_96] : ~ ra_Px34(U_99,U_96)
| ~ cC114(U_99) ) ),
inference(miniscope,[status(thm)],[f_23_2]) ).
fof(f_23_4,plain,
( ! [U_100] :
( cC114(U_100)
| ra_Px34(U_100,sK16(U_100)) )
& ! [U_99] :
( ! [U_96] : ~ ra_Px34(U_99,U_96)
| ~ cC114(U_99) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(U_97,sK16(U_100))],[f_23_3]) ).
cnf(f_23_5,plain,
( ~ ra_Px34(U_99,U_96)
| ~ cC114(U_99) ),
inference(clausify,[status(thm)],[f_23_4]) ).
cnf(f_23_6,plain,
( cC114(U_100)
| ra_Px34(U_100,sK16(U_100)) ),
inference(clausify,[status(thm)],[f_23_4]) ).
fof(f_24_1,plain,
! [X] :
( ( cC114(X)
| ! [Y] :
( ~ cC112(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC112(Y)
& rR1(X,Y) )
| ~ cC114(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_23]) ).
fof(f_24_2,plain,
! [U_103] :
( ( cC114(U_103)
| ! [U_102] :
( ~ cC112(U_102)
| ~ rR1(U_103,U_102) ) )
& ( ? [U_101] :
( cC112(U_101)
& rR1(U_103,U_101) )
| ~ cC114(U_103) ) ),
inference(variable_rename,[status(thm)],[f_24_1]) ).
fof(f_24_3,plain,
( ! [U_105] :
( cC114(U_105)
| ! [U_102] :
( ~ cC112(U_102)
| ~ rR1(U_105,U_102) ) )
& ! [U_104] :
( ? [U_101] :
( cC112(U_101)
& rR1(U_104,U_101) )
| ~ cC114(U_104) ) ),
inference(miniscope,[status(thm)],[f_24_2]) ).
fof(f_24_4,plain,
( ! [U_105] :
( cC114(U_105)
| ! [U_102] :
( ~ cC112(U_102)
| ~ rR1(U_105,U_102) ) )
& ! [U_104] :
( ( cC112(sK17(U_104))
& rR1(U_104,sK17(U_104)) )
| ~ cC114(U_104) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(U_101,sK17(U_104))],[f_24_3]) ).
cnf(f_24_5,plain,
( rR1(U_104,sK17(U_104))
| ~ cC114(U_104) ),
inference(clausify,[status(thm)],[f_24_4]) ).
cnf(f_24_6,plain,
( cC112(sK17(U_104))
| ~ cC114(U_104) ),
inference(clausify,[status(thm)],[f_24_4]) ).
cnf(f_24_7,plain,
( cC114(U_105)
| ~ cC112(U_102)
| ~ rR1(U_105,U_102) ),
inference(clausify,[status(thm)],[f_24_4]) ).
fof(f_25_1,plain,
! [X] :
( ( cC114xcomp(X)
| ! [Y0] : ~ ra_Px34(X,Y0) )
& ( ? [Y0] : ra_Px34(X,Y0)
| ~ cC114xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_24]) ).
fof(f_25_2,plain,
! [U_108] :
( ( cC114xcomp(U_108)
| ! [U_107] : ~ ra_Px34(U_108,U_107) )
& ( ? [U_106] : ra_Px34(U_108,U_106)
| ~ cC114xcomp(U_108) ) ),
inference(variable_rename,[status(thm)],[f_25_1]) ).
fof(f_25_3,plain,
( ! [U_110] :
( cC114xcomp(U_110)
| ! [U_107] : ~ ra_Px34(U_110,U_107) )
& ! [U_109] :
( ? [U_106] : ra_Px34(U_109,U_106)
| ~ cC114xcomp(U_109) ) ),
inference(miniscope,[status(thm)],[f_25_2]) ).
fof(f_25_4,plain,
( ! [U_110] :
( cC114xcomp(U_110)
| ! [U_107] : ~ ra_Px34(U_110,U_107) )
& ! [U_109] :
( ra_Px34(U_109,sK18(U_109))
| ~ cC114xcomp(U_109) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(U_106,sK18(U_109))],[f_25_3]) ).
cnf(f_25_5,plain,
( ra_Px34(U_109,sK18(U_109))
| ~ cC114xcomp(U_109) ),
inference(clausify,[status(thm)],[f_25_4]) ).
cnf(f_25_6,plain,
( cC114xcomp(U_110)
| ~ ra_Px34(U_110,U_107) ),
inference(clausify,[status(thm)],[f_25_4]) ).
fof(f_26_1,plain,
! [X] :
( ( cC116(X)
| ~ cC114xcomp(X)
| ~ cTOP(X) )
& ( ( cC114xcomp(X)
& cTOP(X) )
| ~ cC116(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_25]) ).
fof(f_26_2,plain,
! [U_111] :
( ( cC116(U_111)
| ~ cC114xcomp(U_111)
| ~ cTOP(U_111) )
& ( ( cC114xcomp(U_111)
& cTOP(U_111) )
| ~ cC116(U_111) ) ),
inference(variable_rename,[status(thm)],[f_26_1]) ).
fof(f_26_3,plain,
( ! [U_113] :
( cC116(U_113)
| ~ cC114xcomp(U_113)
| ~ cTOP(U_113) )
& ! [U_112] :
( ( cC114xcomp(U_112)
& cTOP(U_112) )
| ~ cC116(U_112) ) ),
inference(miniscope,[status(thm)],[f_26_2]) ).
cnf(f_26_4,plain,
( cTOP(U_112)
| ~ cC116(U_112) ),
inference(clausify,[status(thm)],[f_26_3]) ).
cnf(f_26_5,plain,
( cC114xcomp(U_112)
| ~ cC116(U_112) ),
inference(clausify,[status(thm)],[f_26_3]) ).
cnf(f_26_6,plain,
( cC116(U_113)
| ~ cC114xcomp(U_113)
| ~ cTOP(U_113) ),
inference(clausify,[status(thm)],[f_26_3]) ).
fof(f_27_1,plain,
! [X] :
( ( cC118(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC118(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_26]) ).
fof(f_27_2,plain,
! [U_116] :
( ( cC118(U_116)
| ! [U_115] :
( ~ cC2xcomp(U_115)
| ~ rR1(U_116,U_115) ) )
& ( ? [U_114] :
( cC2xcomp(U_114)
& rR1(U_116,U_114) )
| ~ cC118(U_116) ) ),
inference(variable_rename,[status(thm)],[f_27_1]) ).
fof(f_27_3,plain,
( ! [U_118] :
( cC118(U_118)
| ! [U_115] :
( ~ cC2xcomp(U_115)
| ~ rR1(U_118,U_115) ) )
& ! [U_117] :
( ? [U_114] :
( cC2xcomp(U_114)
& rR1(U_117,U_114) )
| ~ cC118(U_117) ) ),
inference(miniscope,[status(thm)],[f_27_2]) ).
fof(f_27_4,plain,
( ! [U_118] :
( cC118(U_118)
| ! [U_115] :
( ~ cC2xcomp(U_115)
| ~ rR1(U_118,U_115) ) )
& ! [U_117] :
( ( cC2xcomp(sK19(U_117))
& rR1(U_117,sK19(U_117)) )
| ~ cC118(U_117) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(U_114,sK19(U_117))],[f_27_3]) ).
cnf(f_27_5,plain,
( rR1(U_117,sK19(U_117))
| ~ cC118(U_117) ),
inference(clausify,[status(thm)],[f_27_4]) ).
cnf(f_27_6,plain,
( cC2xcomp(sK19(U_117))
| ~ cC118(U_117) ),
inference(clausify,[status(thm)],[f_27_4]) ).
cnf(f_27_7,plain,
( cC118(U_118)
| ~ cC2xcomp(U_115)
| ~ rR1(U_118,U_115) ),
inference(clausify,[status(thm)],[f_27_4]) ).
fof(f_28_1,plain,
! [X] :
( ( cC118(X)
| ! [Y0] : ~ ra_Px36(X,Y0) )
& ( ? [Y0] : ra_Px36(X,Y0)
| ~ cC118(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_27]) ).
fof(f_28_2,plain,
! [U_121] :
( ( cC118(U_121)
| ! [U_120] : ~ ra_Px36(U_121,U_120) )
& ( ? [U_119] : ra_Px36(U_121,U_119)
| ~ cC118(U_121) ) ),
inference(variable_rename,[status(thm)],[f_28_1]) ).
fof(f_28_3,plain,
( ! [U_123] :
( cC118(U_123)
| ! [U_120] : ~ ra_Px36(U_123,U_120) )
& ! [U_122] :
( ? [U_119] : ra_Px36(U_122,U_119)
| ~ cC118(U_122) ) ),
inference(miniscope,[status(thm)],[f_28_2]) ).
fof(f_28_4,plain,
( ! [U_123] :
( cC118(U_123)
| ! [U_120] : ~ ra_Px36(U_123,U_120) )
& ! [U_122] :
( ra_Px36(U_122,sK20(U_122))
| ~ cC118(U_122) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(U_119,sK20(U_122))],[f_28_3]) ).
cnf(f_28_5,plain,
( ra_Px36(U_122,sK20(U_122))
| ~ cC118(U_122) ),
inference(clausify,[status(thm)],[f_28_4]) ).
cnf(f_28_6,plain,
( cC118(U_123)
| ~ ra_Px36(U_123,U_120) ),
inference(clausify,[status(thm)],[f_28_4]) ).
fof(f_29_1,plain,
! [X] :
( ( cC118xcomp(X)
| ? [Y] : ra_Px36(X,Y) )
& ( ! [Y] : ~ ra_Px36(X,Y)
| ~ cC118xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_28]) ).
fof(f_29_2,plain,
! [U_126] :
( ( cC118xcomp(U_126)
| ? [U_125] : ra_Px36(U_126,U_125) )
& ( ! [U_124] : ~ ra_Px36(U_126,U_124)
| ~ cC118xcomp(U_126) ) ),
inference(variable_rename,[status(thm)],[f_29_1]) ).
fof(f_29_3,plain,
( ! [U_128] :
( cC118xcomp(U_128)
| ? [U_125] : ra_Px36(U_128,U_125) )
& ! [U_127] :
( ! [U_124] : ~ ra_Px36(U_127,U_124)
| ~ cC118xcomp(U_127) ) ),
inference(miniscope,[status(thm)],[f_29_2]) ).
fof(f_29_4,plain,
( ! [U_128] :
( cC118xcomp(U_128)
| ra_Px36(U_128,sK21(U_128)) )
& ! [U_127] :
( ! [U_124] : ~ ra_Px36(U_127,U_124)
| ~ cC118xcomp(U_127) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK21]),skolemize(U_125,sK21(U_128))],[f_29_3]) ).
cnf(f_29_5,plain,
( ~ ra_Px36(U_127,U_124)
| ~ cC118xcomp(U_127) ),
inference(clausify,[status(thm)],[f_29_4]) ).
cnf(f_29_6,plain,
( cC118xcomp(U_128)
| ra_Px36(U_128,sK21(U_128)) ),
inference(clausify,[status(thm)],[f_29_4]) ).
fof(f_30_1,plain,
! [X] :
( ( cC12(X)
| ! [Y0] : ~ ra_Px45(X,Y0) )
& ( ? [Y0] : ra_Px45(X,Y0)
| ~ cC12(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_29]) ).
fof(f_30_2,plain,
! [U_131] :
( ( cC12(U_131)
| ! [U_130] : ~ ra_Px45(U_131,U_130) )
& ( ? [U_129] : ra_Px45(U_131,U_129)
| ~ cC12(U_131) ) ),
inference(variable_rename,[status(thm)],[f_30_1]) ).
fof(f_30_3,plain,
( ! [U_133] :
( cC12(U_133)
| ! [U_130] : ~ ra_Px45(U_133,U_130) )
& ! [U_132] :
( ? [U_129] : ra_Px45(U_132,U_129)
| ~ cC12(U_132) ) ),
inference(miniscope,[status(thm)],[f_30_2]) ).
fof(f_30_4,plain,
( ! [U_133] :
( cC12(U_133)
| ! [U_130] : ~ ra_Px45(U_133,U_130) )
& ! [U_132] :
( ra_Px45(U_132,sK22(U_132))
| ~ cC12(U_132) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(U_129,sK22(U_132))],[f_30_3]) ).
cnf(f_30_5,plain,
( ra_Px45(U_132,sK22(U_132))
| ~ cC12(U_132) ),
inference(clausify,[status(thm)],[f_30_4]) ).
cnf(f_30_6,plain,
( cC12(U_133)
| ~ ra_Px45(U_133,U_130) ),
inference(clausify,[status(thm)],[f_30_4]) ).
fof(f_31_1,plain,
! [X] :
( ( cC12(X)
| ! [Y] :
( ~ cC10(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC10(Y)
& rR1(X,Y) )
| ~ cC12(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_30]) ).
fof(f_31_2,plain,
! [U_136] :
( ( cC12(U_136)
| ! [U_135] :
( ~ cC10(U_135)
| ~ rR1(U_136,U_135) ) )
& ( ? [U_134] :
( cC10(U_134)
& rR1(U_136,U_134) )
| ~ cC12(U_136) ) ),
inference(variable_rename,[status(thm)],[f_31_1]) ).
fof(f_31_3,plain,
( ! [U_138] :
( cC12(U_138)
| ! [U_135] :
( ~ cC10(U_135)
| ~ rR1(U_138,U_135) ) )
& ! [U_137] :
( ? [U_134] :
( cC10(U_134)
& rR1(U_137,U_134) )
| ~ cC12(U_137) ) ),
inference(miniscope,[status(thm)],[f_31_2]) ).
fof(f_31_4,plain,
( ! [U_138] :
( cC12(U_138)
| ! [U_135] :
( ~ cC10(U_135)
| ~ rR1(U_138,U_135) ) )
& ! [U_137] :
( ( cC10(sK23(U_137))
& rR1(U_137,sK23(U_137)) )
| ~ cC12(U_137) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(U_134,sK23(U_137))],[f_31_3]) ).
cnf(f_31_5,plain,
( rR1(U_137,sK23(U_137))
| ~ cC12(U_137) ),
inference(clausify,[status(thm)],[f_31_4]) ).
cnf(f_31_6,plain,
( cC10(sK23(U_137))
| ~ cC12(U_137) ),
inference(clausify,[status(thm)],[f_31_4]) ).
cnf(f_31_7,plain,
( cC12(U_138)
| ~ cC10(U_135)
| ~ rR1(U_138,U_135) ),
inference(clausify,[status(thm)],[f_31_4]) ).
fof(f_32_1,plain,
! [X] :
( ( cC12xcomp(X)
| ? [Y] : ra_Px45(X,Y) )
& ( ! [Y] : ~ ra_Px45(X,Y)
| ~ cC12xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_31]) ).
fof(f_32_2,plain,
! [U_141] :
( ( cC12xcomp(U_141)
| ? [U_140] : ra_Px45(U_141,U_140) )
& ( ! [U_139] : ~ ra_Px45(U_141,U_139)
| ~ cC12xcomp(U_141) ) ),
inference(variable_rename,[status(thm)],[f_32_1]) ).
fof(f_32_3,plain,
( ! [U_143] :
( cC12xcomp(U_143)
| ? [U_140] : ra_Px45(U_143,U_140) )
& ! [U_142] :
( ! [U_139] : ~ ra_Px45(U_142,U_139)
| ~ cC12xcomp(U_142) ) ),
inference(miniscope,[status(thm)],[f_32_2]) ).
fof(f_32_4,plain,
( ! [U_143] :
( cC12xcomp(U_143)
| ra_Px45(U_143,sK24(U_143)) )
& ! [U_142] :
( ! [U_139] : ~ ra_Px45(U_142,U_139)
| ~ cC12xcomp(U_142) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24]),skolemize(U_140,sK24(U_143))],[f_32_3]) ).
cnf(f_32_5,plain,
( ~ ra_Px45(U_142,U_139)
| ~ cC12xcomp(U_142) ),
inference(clausify,[status(thm)],[f_32_4]) ).
cnf(f_32_6,plain,
( cC12xcomp(U_143)
| ra_Px45(U_143,sK24(U_143)) ),
inference(clausify,[status(thm)],[f_32_4]) ).
fof(f_33_1,plain,
! [X] :
( ( cC120(X)
| ! [Y] :
( ~ cC118xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC118xcomp(Y)
& rR1(X,Y) )
| ~ cC120(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_32]) ).
fof(f_33_2,plain,
! [U_146] :
( ( cC120(U_146)
| ! [U_145] :
( ~ cC118xcomp(U_145)
| ~ rR1(U_146,U_145) ) )
& ( ? [U_144] :
( cC118xcomp(U_144)
& rR1(U_146,U_144) )
| ~ cC120(U_146) ) ),
inference(variable_rename,[status(thm)],[f_33_1]) ).
fof(f_33_3,plain,
( ! [U_148] :
( cC120(U_148)
| ! [U_145] :
( ~ cC118xcomp(U_145)
| ~ rR1(U_148,U_145) ) )
& ! [U_147] :
( ? [U_144] :
( cC118xcomp(U_144)
& rR1(U_147,U_144) )
| ~ cC120(U_147) ) ),
inference(miniscope,[status(thm)],[f_33_2]) ).
fof(f_33_4,plain,
( ! [U_148] :
( cC120(U_148)
| ! [U_145] :
( ~ cC118xcomp(U_145)
| ~ rR1(U_148,U_145) ) )
& ! [U_147] :
( ( cC118xcomp(sK25(U_147))
& rR1(U_147,sK25(U_147)) )
| ~ cC120(U_147) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(U_144,sK25(U_147))],[f_33_3]) ).
cnf(f_33_5,plain,
( rR1(U_147,sK25(U_147))
| ~ cC120(U_147) ),
inference(clausify,[status(thm)],[f_33_4]) ).
cnf(f_33_6,plain,
( cC118xcomp(sK25(U_147))
| ~ cC120(U_147) ),
inference(clausify,[status(thm)],[f_33_4]) ).
cnf(f_33_7,plain,
( cC120(U_148)
| ~ cC118xcomp(U_145)
| ~ rR1(U_148,U_145) ),
inference(clausify,[status(thm)],[f_33_4]) ).
fof(f_34_1,plain,
! [X] :
( ( cC122(X)
| ~ cC120(X)
| ~ cC2xcomp(X) )
& ( ( cC120(X)
& cC2xcomp(X) )
| ~ cC122(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_33]) ).
fof(f_34_2,plain,
! [U_149] :
( ( cC122(U_149)
| ~ cC120(U_149)
| ~ cC2xcomp(U_149) )
& ( ( cC120(U_149)
& cC2xcomp(U_149) )
| ~ cC122(U_149) ) ),
inference(variable_rename,[status(thm)],[f_34_1]) ).
fof(f_34_3,plain,
( ! [U_151] :
( cC122(U_151)
| ~ cC120(U_151)
| ~ cC2xcomp(U_151) )
& ! [U_150] :
( ( cC120(U_150)
& cC2xcomp(U_150) )
| ~ cC122(U_150) ) ),
inference(miniscope,[status(thm)],[f_34_2]) ).
cnf(f_34_4,plain,
( cC2xcomp(U_150)
| ~ cC122(U_150) ),
inference(clausify,[status(thm)],[f_34_3]) ).
cnf(f_34_5,plain,
( cC120(U_150)
| ~ cC122(U_150) ),
inference(clausify,[status(thm)],[f_34_3]) ).
cnf(f_34_6,plain,
( cC122(U_151)
| ~ cC120(U_151)
| ~ cC2xcomp(U_151) ),
inference(clausify,[status(thm)],[f_34_3]) ).
fof(f_35_1,plain,
! [X] :
( ( cC124(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC124(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_34]) ).
fof(f_35_2,plain,
! [U_154] :
( ( cC124(U_154)
| ! [U_153] :
( ~ cC2xcomp(U_153)
| ~ rR1(U_154,U_153) ) )
& ( ? [U_152] :
( cC2xcomp(U_152)
& rR1(U_154,U_152) )
| ~ cC124(U_154) ) ),
inference(variable_rename,[status(thm)],[f_35_1]) ).
fof(f_35_3,plain,
( ! [U_156] :
( cC124(U_156)
| ! [U_153] :
( ~ cC2xcomp(U_153)
| ~ rR1(U_156,U_153) ) )
& ! [U_155] :
( ? [U_152] :
( cC2xcomp(U_152)
& rR1(U_155,U_152) )
| ~ cC124(U_155) ) ),
inference(miniscope,[status(thm)],[f_35_2]) ).
fof(f_35_4,plain,
( ! [U_156] :
( cC124(U_156)
| ! [U_153] :
( ~ cC2xcomp(U_153)
| ~ rR1(U_156,U_153) ) )
& ! [U_155] :
( ( cC2xcomp(sK26(U_155))
& rR1(U_155,sK26(U_155)) )
| ~ cC124(U_155) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK26]),skolemize(U_152,sK26(U_155))],[f_35_3]) ).
cnf(f_35_5,plain,
( rR1(U_155,sK26(U_155))
| ~ cC124(U_155) ),
inference(clausify,[status(thm)],[f_35_4]) ).
cnf(f_35_6,plain,
( cC2xcomp(sK26(U_155))
| ~ cC124(U_155) ),
inference(clausify,[status(thm)],[f_35_4]) ).
cnf(f_35_7,plain,
( cC124(U_156)
| ~ cC2xcomp(U_153)
| ~ rR1(U_156,U_153) ),
inference(clausify,[status(thm)],[f_35_4]) ).
fof(f_36_1,plain,
! [X] :
( ( cC126(X)
| ~ cC124(X)
| ~ cC2(X) )
& ( ( cC124(X)
& cC2(X) )
| ~ cC126(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_35]) ).
fof(f_36_2,plain,
! [U_157] :
( ( cC126(U_157)
| ~ cC124(U_157)
| ~ cC2(U_157) )
& ( ( cC124(U_157)
& cC2(U_157) )
| ~ cC126(U_157) ) ),
inference(variable_rename,[status(thm)],[f_36_1]) ).
fof(f_36_3,plain,
( ! [U_159] :
( cC126(U_159)
| ~ cC124(U_159)
| ~ cC2(U_159) )
& ! [U_158] :
( ( cC124(U_158)
& cC2(U_158) )
| ~ cC126(U_158) ) ),
inference(miniscope,[status(thm)],[f_36_2]) ).
cnf(f_36_4,plain,
( cC2(U_158)
| ~ cC126(U_158) ),
inference(clausify,[status(thm)],[f_36_3]) ).
cnf(f_36_5,plain,
( cC124(U_158)
| ~ cC126(U_158) ),
inference(clausify,[status(thm)],[f_36_3]) ).
cnf(f_36_6,plain,
( cC126(U_159)
| ~ cC124(U_159)
| ~ cC2(U_159) ),
inference(clausify,[status(thm)],[f_36_3]) ).
fof(f_37_1,plain,
! [X] :
( ( cC128(X)
| ? [Y] : ra_Px40(X,Y) )
& ( ! [Y] : ~ ra_Px40(X,Y)
| ~ cC128(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_36]) ).
fof(f_37_2,plain,
! [U_162] :
( ( cC128(U_162)
| ? [U_161] : ra_Px40(U_162,U_161) )
& ( ! [U_160] : ~ ra_Px40(U_162,U_160)
| ~ cC128(U_162) ) ),
inference(variable_rename,[status(thm)],[f_37_1]) ).
fof(f_37_3,plain,
( ! [U_164] :
( cC128(U_164)
| ? [U_161] : ra_Px40(U_164,U_161) )
& ! [U_163] :
( ! [U_160] : ~ ra_Px40(U_163,U_160)
| ~ cC128(U_163) ) ),
inference(miniscope,[status(thm)],[f_37_2]) ).
fof(f_37_4,plain,
( ! [U_164] :
( cC128(U_164)
| ra_Px40(U_164,sK27(U_164)) )
& ! [U_163] :
( ! [U_160] : ~ ra_Px40(U_163,U_160)
| ~ cC128(U_163) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(U_161,sK27(U_164))],[f_37_3]) ).
cnf(f_37_5,plain,
( ~ ra_Px40(U_163,U_160)
| ~ cC128(U_163) ),
inference(clausify,[status(thm)],[f_37_4]) ).
cnf(f_37_6,plain,
( cC128(U_164)
| ra_Px40(U_164,sK27(U_164)) ),
inference(clausify,[status(thm)],[f_37_4]) ).
fof(f_38_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_37]) ).
fof(f_38_2,plain,
! [U_167] :
( ( cC128(U_167)
| ! [U_166] :
( ~ cC126(U_166)
| ~ rR1(U_167,U_166) ) )
& ( ? [U_165] :
( cC126(U_165)
& rR1(U_167,U_165) )
| ~ cC128(U_167) ) ),
inference(variable_rename,[status(thm)],[f_38_1]) ).
fof(f_38_3,plain,
( ! [U_169] :
( cC128(U_169)
| ! [U_166] :
( ~ cC126(U_166)
| ~ rR1(U_169,U_166) ) )
& ! [U_168] :
( ? [U_165] :
( cC126(U_165)
& rR1(U_168,U_165) )
| ~ cC128(U_168) ) ),
inference(miniscope,[status(thm)],[f_38_2]) ).
fof(f_38_4,plain,
( ! [U_169] :
( cC128(U_169)
| ! [U_166] :
( ~ cC126(U_166)
| ~ rR1(U_169,U_166) ) )
& ! [U_168] :
( ( cC126(sK28(U_168))
& rR1(U_168,sK28(U_168)) )
| ~ cC128(U_168) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK28]),skolemize(U_165,sK28(U_168))],[f_38_3]) ).
cnf(f_38_5,plain,
( rR1(U_168,sK28(U_168))
| ~ cC128(U_168) ),
inference(clausify,[status(thm)],[f_38_4]) ).
cnf(f_38_6,plain,
( cC126(sK28(U_168))
| ~ cC128(U_168) ),
inference(clausify,[status(thm)],[f_38_4]) ).
cnf(f_38_7,plain,
( cC128(U_169)
| ~ cC126(U_166)
| ~ rR1(U_169,U_166) ),
inference(clausify,[status(thm)],[f_38_4]) ).
fof(f_39_1,plain,
! [X] :
( ( cC128xcomp(X)
| ! [Y0] : ~ ra_Px40(X,Y0) )
& ( ? [Y0] : ra_Px40(X,Y0)
| ~ cC128xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_38]) ).
fof(f_39_2,plain,
! [U_172] :
( ( cC128xcomp(U_172)
| ! [U_171] : ~ ra_Px40(U_172,U_171) )
& ( ? [U_170] : ra_Px40(U_172,U_170)
| ~ cC128xcomp(U_172) ) ),
inference(variable_rename,[status(thm)],[f_39_1]) ).
fof(f_39_3,plain,
( ! [U_174] :
( cC128xcomp(U_174)
| ! [U_171] : ~ ra_Px40(U_174,U_171) )
& ! [U_173] :
( ? [U_170] : ra_Px40(U_173,U_170)
| ~ cC128xcomp(U_173) ) ),
inference(miniscope,[status(thm)],[f_39_2]) ).
fof(f_39_4,plain,
( ! [U_174] :
( cC128xcomp(U_174)
| ! [U_171] : ~ ra_Px40(U_174,U_171) )
& ! [U_173] :
( ra_Px40(U_173,sK29(U_173))
| ~ cC128xcomp(U_173) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(U_170,sK29(U_173))],[f_39_3]) ).
cnf(f_39_5,plain,
( ra_Px40(U_173,sK29(U_173))
| ~ cC128xcomp(U_173) ),
inference(clausify,[status(thm)],[f_39_4]) ).
cnf(f_39_6,plain,
( cC128xcomp(U_174)
| ~ ra_Px40(U_174,U_171) ),
inference(clausify,[status(thm)],[f_39_4]) ).
fof(f_40_1,plain,
! [X] :
( ( cC130(X)
| ! [Y0] : ~ ra_Px47(X,Y0) )
& ( ? [Y0] : ra_Px47(X,Y0)
| ~ cC130(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_39]) ).
fof(f_40_2,plain,
! [U_177] :
( ( cC130(U_177)
| ! [U_176] : ~ ra_Px47(U_177,U_176) )
& ( ? [U_175] : ra_Px47(U_177,U_175)
| ~ cC130(U_177) ) ),
inference(variable_rename,[status(thm)],[f_40_1]) ).
fof(f_40_3,plain,
( ! [U_179] :
( cC130(U_179)
| ! [U_176] : ~ ra_Px47(U_179,U_176) )
& ! [U_178] :
( ? [U_175] : ra_Px47(U_178,U_175)
| ~ cC130(U_178) ) ),
inference(miniscope,[status(thm)],[f_40_2]) ).
fof(f_40_4,plain,
( ! [U_179] :
( cC130(U_179)
| ! [U_176] : ~ ra_Px47(U_179,U_176) )
& ! [U_178] :
( ra_Px47(U_178,sK30(U_178))
| ~ cC130(U_178) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK30]),skolemize(U_175,sK30(U_178))],[f_40_3]) ).
cnf(f_40_5,plain,
( ra_Px47(U_178,sK30(U_178))
| ~ cC130(U_178) ),
inference(clausify,[status(thm)],[f_40_4]) ).
cnf(f_40_6,plain,
( cC130(U_179)
| ~ ra_Px47(U_179,U_176) ),
inference(clausify,[status(thm)],[f_40_4]) ).
fof(f_41_1,plain,
! [X] :
( ( cC130(X)
| ~ cC128xcomp(X)
| ~ cC2xcomp(X) )
& ( ( cC128xcomp(X)
& cC2xcomp(X) )
| ~ cC130(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_40]) ).
fof(f_41_2,plain,
! [U_180] :
( ( cC130(U_180)
| ~ cC128xcomp(U_180)
| ~ cC2xcomp(U_180) )
& ( ( cC128xcomp(U_180)
& cC2xcomp(U_180) )
| ~ cC130(U_180) ) ),
inference(variable_rename,[status(thm)],[f_41_1]) ).
fof(f_41_3,plain,
( ! [U_182] :
( cC130(U_182)
| ~ cC128xcomp(U_182)
| ~ cC2xcomp(U_182) )
& ! [U_181] :
( ( cC128xcomp(U_181)
& cC2xcomp(U_181) )
| ~ cC130(U_181) ) ),
inference(miniscope,[status(thm)],[f_41_2]) ).
cnf(f_41_4,plain,
( cC2xcomp(U_181)
| ~ cC130(U_181) ),
inference(clausify,[status(thm)],[f_41_3]) ).
cnf(f_41_5,plain,
( cC128xcomp(U_181)
| ~ cC130(U_181) ),
inference(clausify,[status(thm)],[f_41_3]) ).
cnf(f_41_6,plain,
( cC130(U_182)
| ~ cC128xcomp(U_182)
| ~ cC2xcomp(U_182) ),
inference(clausify,[status(thm)],[f_41_3]) ).
fof(f_42_1,plain,
! [X] :
( ( cC130xcomp(X)
| ? [Y] : ra_Px47(X,Y) )
& ( ! [Y] : ~ ra_Px47(X,Y)
| ~ cC130xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_41]) ).
fof(f_42_2,plain,
! [U_185] :
( ( cC130xcomp(U_185)
| ? [U_184] : ra_Px47(U_185,U_184) )
& ( ! [U_183] : ~ ra_Px47(U_185,U_183)
| ~ cC130xcomp(U_185) ) ),
inference(variable_rename,[status(thm)],[f_42_1]) ).
fof(f_42_3,plain,
( ! [U_187] :
( cC130xcomp(U_187)
| ? [U_184] : ra_Px47(U_187,U_184) )
& ! [U_186] :
( ! [U_183] : ~ ra_Px47(U_186,U_183)
| ~ cC130xcomp(U_186) ) ),
inference(miniscope,[status(thm)],[f_42_2]) ).
fof(f_42_4,plain,
( ! [U_187] :
( cC130xcomp(U_187)
| ra_Px47(U_187,sK31(U_187)) )
& ! [U_186] :
( ! [U_183] : ~ ra_Px47(U_186,U_183)
| ~ cC130xcomp(U_186) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31]),skolemize(U_184,sK31(U_187))],[f_42_3]) ).
cnf(f_42_5,plain,
( ~ ra_Px47(U_186,U_183)
| ~ cC130xcomp(U_186) ),
inference(clausify,[status(thm)],[f_42_4]) ).
cnf(f_42_6,plain,
( cC130xcomp(U_187)
| ra_Px47(U_187,sK31(U_187)) ),
inference(clausify,[status(thm)],[f_42_4]) ).
fof(f_43_1,plain,
! [X] :
( ( cC132(X)
| ! [Y0] : ~ ra_Px41(X,Y0) )
& ( ? [Y0] : ra_Px41(X,Y0)
| ~ cC132(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_42]) ).
fof(f_43_2,plain,
! [U_190] :
( ( cC132(U_190)
| ! [U_189] : ~ ra_Px41(U_190,U_189) )
& ( ? [U_188] : ra_Px41(U_190,U_188)
| ~ cC132(U_190) ) ),
inference(variable_rename,[status(thm)],[f_43_1]) ).
fof(f_43_3,plain,
( ! [U_192] :
( cC132(U_192)
| ! [U_189] : ~ ra_Px41(U_192,U_189) )
& ! [U_191] :
( ? [U_188] : ra_Px41(U_191,U_188)
| ~ cC132(U_191) ) ),
inference(miniscope,[status(thm)],[f_43_2]) ).
fof(f_43_4,plain,
( ! [U_192] :
( cC132(U_192)
| ! [U_189] : ~ ra_Px41(U_192,U_189) )
& ! [U_191] :
( ra_Px41(U_191,sK32(U_191))
| ~ cC132(U_191) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK32]),skolemize(U_188,sK32(U_191))],[f_43_3]) ).
cnf(f_43_5,plain,
( ra_Px41(U_191,sK32(U_191))
| ~ cC132(U_191) ),
inference(clausify,[status(thm)],[f_43_4]) ).
cnf(f_43_6,plain,
( cC132(U_192)
| ~ ra_Px41(U_192,U_189) ),
inference(clausify,[status(thm)],[f_43_4]) ).
fof(f_44_1,plain,
! [X] :
( ( cC132(X)
| ! [Y] :
( ~ cC130(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC130(Y)
& rR1(X,Y) )
| ~ cC132(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_43]) ).
fof(f_44_2,plain,
! [U_195] :
( ( cC132(U_195)
| ! [U_194] :
( ~ cC130(U_194)
| ~ rR1(U_195,U_194) ) )
& ( ? [U_193] :
( cC130(U_193)
& rR1(U_195,U_193) )
| ~ cC132(U_195) ) ),
inference(variable_rename,[status(thm)],[f_44_1]) ).
fof(f_44_3,plain,
( ! [U_197] :
( cC132(U_197)
| ! [U_194] :
( ~ cC130(U_194)
| ~ rR1(U_197,U_194) ) )
& ! [U_196] :
( ? [U_193] :
( cC130(U_193)
& rR1(U_196,U_193) )
| ~ cC132(U_196) ) ),
inference(miniscope,[status(thm)],[f_44_2]) ).
fof(f_44_4,plain,
( ! [U_197] :
( cC132(U_197)
| ! [U_194] :
( ~ cC130(U_194)
| ~ rR1(U_197,U_194) ) )
& ! [U_196] :
( ( cC130(sK33(U_196))
& rR1(U_196,sK33(U_196)) )
| ~ cC132(U_196) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK33]),skolemize(U_193,sK33(U_196))],[f_44_3]) ).
cnf(f_44_5,plain,
( rR1(U_196,sK33(U_196))
| ~ cC132(U_196) ),
inference(clausify,[status(thm)],[f_44_4]) ).
cnf(f_44_6,plain,
( cC130(sK33(U_196))
| ~ cC132(U_196) ),
inference(clausify,[status(thm)],[f_44_4]) ).
cnf(f_44_7,plain,
( cC132(U_197)
| ~ cC130(U_194)
| ~ rR1(U_197,U_194) ),
inference(clausify,[status(thm)],[f_44_4]) ).
fof(f_45_1,plain,
! [X] :
( ( cC132xcomp(X)
| ? [Y] : ra_Px41(X,Y) )
& ( ! [Y] : ~ ra_Px41(X,Y)
| ~ cC132xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_44]) ).
fof(f_45_2,plain,
! [U_200] :
( ( cC132xcomp(U_200)
| ? [U_199] : ra_Px41(U_200,U_199) )
& ( ! [U_198] : ~ ra_Px41(U_200,U_198)
| ~ cC132xcomp(U_200) ) ),
inference(variable_rename,[status(thm)],[f_45_1]) ).
fof(f_45_3,plain,
( ! [U_202] :
( cC132xcomp(U_202)
| ? [U_199] : ra_Px41(U_202,U_199) )
& ! [U_201] :
( ! [U_198] : ~ ra_Px41(U_201,U_198)
| ~ cC132xcomp(U_201) ) ),
inference(miniscope,[status(thm)],[f_45_2]) ).
fof(f_45_4,plain,
( ! [U_202] :
( cC132xcomp(U_202)
| ra_Px41(U_202,sK34(U_202)) )
& ! [U_201] :
( ! [U_198] : ~ ra_Px41(U_201,U_198)
| ~ cC132xcomp(U_201) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34]),skolemize(U_199,sK34(U_202))],[f_45_3]) ).
cnf(f_45_5,plain,
( ~ ra_Px41(U_201,U_198)
| ~ cC132xcomp(U_201) ),
inference(clausify,[status(thm)],[f_45_4]) ).
cnf(f_45_6,plain,
( cC132xcomp(U_202)
| ra_Px41(U_202,sK34(U_202)) ),
inference(clausify,[status(thm)],[f_45_4]) ).
fof(f_46_1,plain,
! [X] :
( ( cC134(X)
| ~ cC122(X)
| ~ cC132xcomp(X) )
& ( ( cC122(X)
& cC132xcomp(X) )
| ~ cC134(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_45]) ).
fof(f_46_2,plain,
! [U_203] :
( ( cC134(U_203)
| ~ cC122(U_203)
| ~ cC132xcomp(U_203) )
& ( ( cC122(U_203)
& cC132xcomp(U_203) )
| ~ cC134(U_203) ) ),
inference(variable_rename,[status(thm)],[f_46_1]) ).
fof(f_46_3,plain,
( ! [U_205] :
( cC134(U_205)
| ~ cC122(U_205)
| ~ cC132xcomp(U_205) )
& ! [U_204] :
( ( cC122(U_204)
& cC132xcomp(U_204) )
| ~ cC134(U_204) ) ),
inference(miniscope,[status(thm)],[f_46_2]) ).
cnf(f_46_4,plain,
( cC132xcomp(U_204)
| ~ cC134(U_204) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_5,plain,
( cC122(U_204)
| ~ cC134(U_204) ),
inference(clausify,[status(thm)],[f_46_3]) ).
cnf(f_46_6,plain,
( cC134(U_205)
| ~ cC122(U_205)
| ~ cC132xcomp(U_205) ),
inference(clausify,[status(thm)],[f_46_3]) ).
fof(f_47_1,plain,
! [X] :
( ( cC136(X)
| ! [Y] :
( ~ cC134(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC134(Y)
& rR1(X,Y) )
| ~ cC136(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_46]) ).
fof(f_47_2,plain,
! [U_208] :
( ( cC136(U_208)
| ! [U_207] :
( ~ cC134(U_207)
| ~ rR1(U_208,U_207) ) )
& ( ? [U_206] :
( cC134(U_206)
& rR1(U_208,U_206) )
| ~ cC136(U_208) ) ),
inference(variable_rename,[status(thm)],[f_47_1]) ).
fof(f_47_3,plain,
( ! [U_210] :
( cC136(U_210)
| ! [U_207] :
( ~ cC134(U_207)
| ~ rR1(U_210,U_207) ) )
& ! [U_209] :
( ? [U_206] :
( cC134(U_206)
& rR1(U_209,U_206) )
| ~ cC136(U_209) ) ),
inference(miniscope,[status(thm)],[f_47_2]) ).
fof(f_47_4,plain,
( ! [U_210] :
( cC136(U_210)
| ! [U_207] :
( ~ cC134(U_207)
| ~ rR1(U_210,U_207) ) )
& ! [U_209] :
( ( cC134(sK35(U_209))
& rR1(U_209,sK35(U_209)) )
| ~ cC136(U_209) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(U_206,sK35(U_209))],[f_47_3]) ).
cnf(f_47_5,plain,
( rR1(U_209,sK35(U_209))
| ~ cC136(U_209) ),
inference(clausify,[status(thm)],[f_47_4]) ).
cnf(f_47_6,plain,
( cC134(sK35(U_209))
| ~ cC136(U_209) ),
inference(clausify,[status(thm)],[f_47_4]) ).
cnf(f_47_7,plain,
( cC136(U_210)
| ~ cC134(U_207)
| ~ rR1(U_210,U_207) ),
inference(clausify,[status(thm)],[f_47_4]) ).
fof(f_48_1,plain,
! [X] :
( ( cC138(X)
| ! [Y] :
( ~ cC136(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC136(Y)
& rR1(X,Y) )
| ~ cC138(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_47]) ).
fof(f_48_2,plain,
! [U_213] :
( ( cC138(U_213)
| ! [U_212] :
( ~ cC136(U_212)
| ~ rR1(U_213,U_212) ) )
& ( ? [U_211] :
( cC136(U_211)
& rR1(U_213,U_211) )
| ~ cC138(U_213) ) ),
inference(variable_rename,[status(thm)],[f_48_1]) ).
fof(f_48_3,plain,
( ! [U_215] :
( cC138(U_215)
| ! [U_212] :
( ~ cC136(U_212)
| ~ rR1(U_215,U_212) ) )
& ! [U_214] :
( ? [U_211] :
( cC136(U_211)
& rR1(U_214,U_211) )
| ~ cC138(U_214) ) ),
inference(miniscope,[status(thm)],[f_48_2]) ).
fof(f_48_4,plain,
( ! [U_215] :
( cC138(U_215)
| ! [U_212] :
( ~ cC136(U_212)
| ~ rR1(U_215,U_212) ) )
& ! [U_214] :
( ( cC136(sK36(U_214))
& rR1(U_214,sK36(U_214)) )
| ~ cC138(U_214) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK36]),skolemize(U_211,sK36(U_214))],[f_48_3]) ).
cnf(f_48_5,plain,
( rR1(U_214,sK36(U_214))
| ~ cC138(U_214) ),
inference(clausify,[status(thm)],[f_48_4]) ).
cnf(f_48_6,plain,
( cC136(sK36(U_214))
| ~ cC138(U_214) ),
inference(clausify,[status(thm)],[f_48_4]) ).
cnf(f_48_7,plain,
( cC138(U_215)
| ~ cC136(U_212)
| ~ rR1(U_215,U_212) ),
inference(clausify,[status(thm)],[f_48_4]) ).
fof(f_49_1,plain,
! [X] :
( ( cC14(X)
| ! [Y] :
( ~ cC12(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC12(Y)
& rR1(X,Y) )
| ~ cC14(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_48]) ).
fof(f_49_2,plain,
! [U_218] :
( ( cC14(U_218)
| ! [U_217] :
( ~ cC12(U_217)
| ~ rR1(U_218,U_217) ) )
& ( ? [U_216] :
( cC12(U_216)
& rR1(U_218,U_216) )
| ~ cC14(U_218) ) ),
inference(variable_rename,[status(thm)],[f_49_1]) ).
fof(f_49_3,plain,
( ! [U_220] :
( cC14(U_220)
| ! [U_217] :
( ~ cC12(U_217)
| ~ rR1(U_220,U_217) ) )
& ! [U_219] :
( ? [U_216] :
( cC12(U_216)
& rR1(U_219,U_216) )
| ~ cC14(U_219) ) ),
inference(miniscope,[status(thm)],[f_49_2]) ).
fof(f_49_4,plain,
( ! [U_220] :
( cC14(U_220)
| ! [U_217] :
( ~ cC12(U_217)
| ~ rR1(U_220,U_217) ) )
& ! [U_219] :
( ( cC12(sK37(U_219))
& rR1(U_219,sK37(U_219)) )
| ~ cC14(U_219) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK37]),skolemize(U_216,sK37(U_219))],[f_49_3]) ).
cnf(f_49_5,plain,
( rR1(U_219,sK37(U_219))
| ~ cC14(U_219) ),
inference(clausify,[status(thm)],[f_49_4]) ).
cnf(f_49_6,plain,
( cC12(sK37(U_219))
| ~ cC14(U_219) ),
inference(clausify,[status(thm)],[f_49_4]) ).
cnf(f_49_7,plain,
( cC14(U_220)
| ~ cC12(U_217)
| ~ rR1(U_220,U_217) ),
inference(clausify,[status(thm)],[f_49_4]) ).
fof(f_50_1,plain,
! [X] :
( ( cC140(X)
| ~ cC138(X)
| ~ cTOP(X) )
& ( ( cC138(X)
& cTOP(X) )
| ~ cC140(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_49]) ).
fof(f_50_2,plain,
! [U_221] :
( ( cC140(U_221)
| ~ cC138(U_221)
| ~ cTOP(U_221) )
& ( ( cC138(U_221)
& cTOP(U_221) )
| ~ cC140(U_221) ) ),
inference(variable_rename,[status(thm)],[f_50_1]) ).
fof(f_50_3,plain,
( ! [U_223] :
( cC140(U_223)
| ~ cC138(U_223)
| ~ cTOP(U_223) )
& ! [U_222] :
( ( cC138(U_222)
& cTOP(U_222) )
| ~ cC140(U_222) ) ),
inference(miniscope,[status(thm)],[f_50_2]) ).
cnf(f_50_4,plain,
( cTOP(U_222)
| ~ cC140(U_222) ),
inference(clausify,[status(thm)],[f_50_3]) ).
cnf(f_50_5,plain,
( cC138(U_222)
| ~ cC140(U_222) ),
inference(clausify,[status(thm)],[f_50_3]) ).
cnf(f_50_6,plain,
( cC140(U_223)
| ~ cC138(U_223)
| ~ cTOP(U_223) ),
inference(clausify,[status(thm)],[f_50_3]) ).
fof(f_51_1,plain,
! [X] :
( ( cC16(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC16(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_50]) ).
fof(f_51_2,plain,
! [U_226] :
( ( cC16(U_226)
| ! [U_225] :
( ~ cC2xcomp(U_225)
| ~ rR1(U_226,U_225) ) )
& ( ? [U_224] :
( cC2xcomp(U_224)
& rR1(U_226,U_224) )
| ~ cC16(U_226) ) ),
inference(variable_rename,[status(thm)],[f_51_1]) ).
fof(f_51_3,plain,
( ! [U_228] :
( cC16(U_228)
| ! [U_225] :
( ~ cC2xcomp(U_225)
| ~ rR1(U_228,U_225) ) )
& ! [U_227] :
( ? [U_224] :
( cC2xcomp(U_224)
& rR1(U_227,U_224) )
| ~ cC16(U_227) ) ),
inference(miniscope,[status(thm)],[f_51_2]) ).
fof(f_51_4,plain,
( ! [U_228] :
( cC16(U_228)
| ! [U_225] :
( ~ cC2xcomp(U_225)
| ~ rR1(U_228,U_225) ) )
& ! [U_227] :
( ( cC2xcomp(sK38(U_227))
& rR1(U_227,sK38(U_227)) )
| ~ cC16(U_227) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK38]),skolemize(U_224,sK38(U_227))],[f_51_3]) ).
cnf(f_51_5,plain,
( rR1(U_227,sK38(U_227))
| ~ cC16(U_227) ),
inference(clausify,[status(thm)],[f_51_4]) ).
cnf(f_51_6,plain,
( cC2xcomp(sK38(U_227))
| ~ cC16(U_227) ),
inference(clausify,[status(thm)],[f_51_4]) ).
cnf(f_51_7,plain,
( cC16(U_228)
| ~ cC2xcomp(U_225)
| ~ rR1(U_228,U_225) ),
inference(clausify,[status(thm)],[f_51_4]) ).
fof(f_52_1,plain,
! [X] :
( ( cC18(X)
| ~ cC2(X)
| ~ cC16(X) )
& ( ( cC2(X)
& cC16(X) )
| ~ cC18(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_51]) ).
fof(f_52_2,plain,
! [U_229] :
( ( cC18(U_229)
| ~ cC2(U_229)
| ~ cC16(U_229) )
& ( ( cC2(U_229)
& cC16(U_229) )
| ~ cC18(U_229) ) ),
inference(variable_rename,[status(thm)],[f_52_1]) ).
fof(f_52_3,plain,
( ! [U_231] :
( cC18(U_231)
| ~ cC2(U_231)
| ~ cC16(U_231) )
& ! [U_230] :
( ( cC2(U_230)
& cC16(U_230) )
| ~ cC18(U_230) ) ),
inference(miniscope,[status(thm)],[f_52_2]) ).
cnf(f_52_4,plain,
( cC16(U_230)
| ~ cC18(U_230) ),
inference(clausify,[status(thm)],[f_52_3]) ).
cnf(f_52_5,plain,
( cC2(U_230)
| ~ cC18(U_230) ),
inference(clausify,[status(thm)],[f_52_3]) ).
cnf(f_52_6,plain,
( cC18(U_231)
| ~ cC2(U_231)
| ~ cC16(U_231) ),
inference(clausify,[status(thm)],[f_52_3]) ).
fof(f_53_1,plain,
! [X] :
( ( cC2(X)
| ? [Y] : ra_Px1(X,Y) )
& ( ! [Y] : ~ ra_Px1(X,Y)
| ~ cC2(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_52]) ).
fof(f_53_2,plain,
! [U_234] :
( ( cC2(U_234)
| ? [U_233] : ra_Px1(U_234,U_233) )
& ( ! [U_232] : ~ ra_Px1(U_234,U_232)
| ~ cC2(U_234) ) ),
inference(variable_rename,[status(thm)],[f_53_1]) ).
fof(f_53_3,plain,
( ! [U_236] :
( cC2(U_236)
| ? [U_233] : ra_Px1(U_236,U_233) )
& ! [U_235] :
( ! [U_232] : ~ ra_Px1(U_235,U_232)
| ~ cC2(U_235) ) ),
inference(miniscope,[status(thm)],[f_53_2]) ).
fof(f_53_4,plain,
( ! [U_236] :
( cC2(U_236)
| ra_Px1(U_236,sK39(U_236)) )
& ! [U_235] :
( ! [U_232] : ~ ra_Px1(U_235,U_232)
| ~ cC2(U_235) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39]),skolemize(U_233,sK39(U_236))],[f_53_3]) ).
cnf(f_53_5,plain,
( ~ ra_Px1(U_235,U_232)
| ~ cC2(U_235) ),
inference(clausify,[status(thm)],[f_53_4]) ).
cnf(f_53_6,plain,
( cC2(U_236)
| ra_Px1(U_236,sK39(U_236)) ),
inference(clausify,[status(thm)],[f_53_4]) ).
fof(f_54_1,plain,
! [X] :
( ( cC2xcomp(X)
| ! [Y0] : ~ ra_Px1(X,Y0) )
& ( ? [Y0] : ra_Px1(X,Y0)
| ~ cC2xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_53]) ).
fof(f_54_2,plain,
! [U_239] :
( ( cC2xcomp(U_239)
| ! [U_238] : ~ ra_Px1(U_239,U_238) )
& ( ? [U_237] : ra_Px1(U_239,U_237)
| ~ cC2xcomp(U_239) ) ),
inference(variable_rename,[status(thm)],[f_54_1]) ).
fof(f_54_3,plain,
( ! [U_241] :
( cC2xcomp(U_241)
| ! [U_238] : ~ ra_Px1(U_241,U_238) )
& ! [U_240] :
( ? [U_237] : ra_Px1(U_240,U_237)
| ~ cC2xcomp(U_240) ) ),
inference(miniscope,[status(thm)],[f_54_2]) ).
fof(f_54_4,plain,
( ! [U_241] :
( cC2xcomp(U_241)
| ! [U_238] : ~ ra_Px1(U_241,U_238) )
& ! [U_240] :
( ra_Px1(U_240,sK40(U_240))
| ~ cC2xcomp(U_240) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK40]),skolemize(U_237,sK40(U_240))],[f_54_3]) ).
cnf(f_54_5,plain,
( ra_Px1(U_240,sK40(U_240))
| ~ cC2xcomp(U_240) ),
inference(clausify,[status(thm)],[f_54_4]) ).
cnf(f_54_6,plain,
( cC2xcomp(U_241)
| ~ ra_Px1(U_241,U_238) ),
inference(clausify,[status(thm)],[f_54_4]) ).
fof(f_55_1,plain,
! [X] :
( ( cC20(X)
| ! [Y0] : ~ ra_Px5(X,Y0) )
& ( ? [Y0] : ra_Px5(X,Y0)
| ~ cC20(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_54]) ).
fof(f_55_2,plain,
! [U_244] :
( ( cC20(U_244)
| ! [U_243] : ~ ra_Px5(U_244,U_243) )
& ( ? [U_242] : ra_Px5(U_244,U_242)
| ~ cC20(U_244) ) ),
inference(variable_rename,[status(thm)],[f_55_1]) ).
fof(f_55_3,plain,
( ! [U_246] :
( cC20(U_246)
| ! [U_243] : ~ ra_Px5(U_246,U_243) )
& ! [U_245] :
( ? [U_242] : ra_Px5(U_245,U_242)
| ~ cC20(U_245) ) ),
inference(miniscope,[status(thm)],[f_55_2]) ).
fof(f_55_4,plain,
( ! [U_246] :
( cC20(U_246)
| ! [U_243] : ~ ra_Px5(U_246,U_243) )
& ! [U_245] :
( ra_Px5(U_245,sK41(U_245))
| ~ cC20(U_245) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK41]),skolemize(U_242,sK41(U_245))],[f_55_3]) ).
cnf(f_55_5,plain,
( ra_Px5(U_245,sK41(U_245))
| ~ cC20(U_245) ),
inference(clausify,[status(thm)],[f_55_4]) ).
cnf(f_55_6,plain,
( cC20(U_246)
| ~ ra_Px5(U_246,U_243) ),
inference(clausify,[status(thm)],[f_55_4]) ).
fof(f_56_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_55]) ).
fof(f_56_2,plain,
! [U_249] :
( ( cC20(U_249)
| ! [U_248] :
( ~ cC18(U_248)
| ~ rR1(U_249,U_248) ) )
& ( ? [U_247] :
( cC18(U_247)
& rR1(U_249,U_247) )
| ~ cC20(U_249) ) ),
inference(variable_rename,[status(thm)],[f_56_1]) ).
fof(f_56_3,plain,
( ! [U_251] :
( cC20(U_251)
| ! [U_248] :
( ~ cC18(U_248)
| ~ rR1(U_251,U_248) ) )
& ! [U_250] :
( ? [U_247] :
( cC18(U_247)
& rR1(U_250,U_247) )
| ~ cC20(U_250) ) ),
inference(miniscope,[status(thm)],[f_56_2]) ).
fof(f_56_4,plain,
( ! [U_251] :
( cC20(U_251)
| ! [U_248] :
( ~ cC18(U_248)
| ~ rR1(U_251,U_248) ) )
& ! [U_250] :
( ( cC18(sK42(U_250))
& rR1(U_250,sK42(U_250)) )
| ~ cC20(U_250) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK42]),skolemize(U_247,sK42(U_250))],[f_56_3]) ).
cnf(f_56_5,plain,
( rR1(U_250,sK42(U_250))
| ~ cC20(U_250) ),
inference(clausify,[status(thm)],[f_56_4]) ).
cnf(f_56_6,plain,
( cC18(sK42(U_250))
| ~ cC20(U_250) ),
inference(clausify,[status(thm)],[f_56_4]) ).
cnf(f_56_7,plain,
( cC20(U_251)
| ~ cC18(U_248)
| ~ rR1(U_251,U_248) ),
inference(clausify,[status(thm)],[f_56_4]) ).
fof(f_57_1,plain,
! [X] :
( ( cC20xcomp(X)
| ? [Y] : ra_Px5(X,Y) )
& ( ! [Y] : ~ ra_Px5(X,Y)
| ~ cC20xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_56]) ).
fof(f_57_2,plain,
! [U_254] :
( ( cC20xcomp(U_254)
| ? [U_253] : ra_Px5(U_254,U_253) )
& ( ! [U_252] : ~ ra_Px5(U_254,U_252)
| ~ cC20xcomp(U_254) ) ),
inference(variable_rename,[status(thm)],[f_57_1]) ).
fof(f_57_3,plain,
( ! [U_256] :
( cC20xcomp(U_256)
| ? [U_253] : ra_Px5(U_256,U_253) )
& ! [U_255] :
( ! [U_252] : ~ ra_Px5(U_255,U_252)
| ~ cC20xcomp(U_255) ) ),
inference(miniscope,[status(thm)],[f_57_2]) ).
fof(f_57_4,plain,
( ! [U_256] :
( cC20xcomp(U_256)
| ra_Px5(U_256,sK43(U_256)) )
& ! [U_255] :
( ! [U_252] : ~ ra_Px5(U_255,U_252)
| ~ cC20xcomp(U_255) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43]),skolemize(U_253,sK43(U_256))],[f_57_3]) ).
cnf(f_57_5,plain,
( ~ ra_Px5(U_255,U_252)
| ~ cC20xcomp(U_255) ),
inference(clausify,[status(thm)],[f_57_4]) ).
cnf(f_57_6,plain,
( cC20xcomp(U_256)
| ra_Px5(U_256,sK43(U_256)) ),
inference(clausify,[status(thm)],[f_57_4]) ).
fof(f_58_1,plain,
! [X] :
( ( cC22(X)
| ~ cC20xcomp(X)
| ~ cC2xcomp(X) )
& ( ( cC20xcomp(X)
& cC2xcomp(X) )
| ~ cC22(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_57]) ).
fof(f_58_2,plain,
! [U_257] :
( ( cC22(U_257)
| ~ cC20xcomp(U_257)
| ~ cC2xcomp(U_257) )
& ( ( cC20xcomp(U_257)
& cC2xcomp(U_257) )
| ~ cC22(U_257) ) ),
inference(variable_rename,[status(thm)],[f_58_1]) ).
fof(f_58_3,plain,
( ! [U_259] :
( cC22(U_259)
| ~ cC20xcomp(U_259)
| ~ cC2xcomp(U_259) )
& ! [U_258] :
( ( cC20xcomp(U_258)
& cC2xcomp(U_258) )
| ~ cC22(U_258) ) ),
inference(miniscope,[status(thm)],[f_58_2]) ).
cnf(f_58_4,plain,
( cC2xcomp(U_258)
| ~ cC22(U_258) ),
inference(clausify,[status(thm)],[f_58_3]) ).
cnf(f_58_5,plain,
( cC20xcomp(U_258)
| ~ cC22(U_258) ),
inference(clausify,[status(thm)],[f_58_3]) ).
cnf(f_58_6,plain,
( cC22(U_259)
| ~ cC20xcomp(U_259)
| ~ cC2xcomp(U_259) ),
inference(clausify,[status(thm)],[f_58_3]) ).
fof(f_59_1,plain,
! [X] :
( ( cC24(X)
| ! [Y] :
( ~ cC22(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC22(Y)
& rR1(X,Y) )
| ~ cC24(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_58]) ).
fof(f_59_2,plain,
! [U_262] :
( ( cC24(U_262)
| ! [U_261] :
( ~ cC22(U_261)
| ~ rR1(U_262,U_261) ) )
& ( ? [U_260] :
( cC22(U_260)
& rR1(U_262,U_260) )
| ~ cC24(U_262) ) ),
inference(variable_rename,[status(thm)],[f_59_1]) ).
fof(f_59_3,plain,
( ! [U_264] :
( cC24(U_264)
| ! [U_261] :
( ~ cC22(U_261)
| ~ rR1(U_264,U_261) ) )
& ! [U_263] :
( ? [U_260] :
( cC22(U_260)
& rR1(U_263,U_260) )
| ~ cC24(U_263) ) ),
inference(miniscope,[status(thm)],[f_59_2]) ).
fof(f_59_4,plain,
( ! [U_264] :
( cC24(U_264)
| ! [U_261] :
( ~ cC22(U_261)
| ~ rR1(U_264,U_261) ) )
& ! [U_263] :
( ( cC22(sK44(U_263))
& rR1(U_263,sK44(U_263)) )
| ~ cC24(U_263) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(U_260,sK44(U_263))],[f_59_3]) ).
cnf(f_59_5,plain,
( rR1(U_263,sK44(U_263))
| ~ cC24(U_263) ),
inference(clausify,[status(thm)],[f_59_4]) ).
cnf(f_59_6,plain,
( cC22(sK44(U_263))
| ~ cC24(U_263) ),
inference(clausify,[status(thm)],[f_59_4]) ).
cnf(f_59_7,plain,
( cC24(U_264)
| ~ cC22(U_261)
| ~ rR1(U_264,U_261) ),
inference(clausify,[status(thm)],[f_59_4]) ).
fof(f_60_1,plain,
! [X] :
( ( cC24(X)
| ! [Y0] : ~ ra_Px6(X,Y0) )
& ( ? [Y0] : ra_Px6(X,Y0)
| ~ cC24(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_59]) ).
fof(f_60_2,plain,
! [U_267] :
( ( cC24(U_267)
| ! [U_266] : ~ ra_Px6(U_267,U_266) )
& ( ? [U_265] : ra_Px6(U_267,U_265)
| ~ cC24(U_267) ) ),
inference(variable_rename,[status(thm)],[f_60_1]) ).
fof(f_60_3,plain,
( ! [U_269] :
( cC24(U_269)
| ! [U_266] : ~ ra_Px6(U_269,U_266) )
& ! [U_268] :
( ? [U_265] : ra_Px6(U_268,U_265)
| ~ cC24(U_268) ) ),
inference(miniscope,[status(thm)],[f_60_2]) ).
fof(f_60_4,plain,
( ! [U_269] :
( cC24(U_269)
| ! [U_266] : ~ ra_Px6(U_269,U_266) )
& ! [U_268] :
( ra_Px6(U_268,sK45(U_268))
| ~ cC24(U_268) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK45]),skolemize(U_265,sK45(U_268))],[f_60_3]) ).
cnf(f_60_5,plain,
( ra_Px6(U_268,sK45(U_268))
| ~ cC24(U_268) ),
inference(clausify,[status(thm)],[f_60_4]) ).
cnf(f_60_6,plain,
( cC24(U_269)
| ~ ra_Px6(U_269,U_266) ),
inference(clausify,[status(thm)],[f_60_4]) ).
fof(f_61_1,plain,
! [X] :
( ( cC24xcomp(X)
| ? [Y] : ra_Px6(X,Y) )
& ( ! [Y] : ~ ra_Px6(X,Y)
| ~ cC24xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_60]) ).
fof(f_61_2,plain,
! [U_272] :
( ( cC24xcomp(U_272)
| ? [U_271] : ra_Px6(U_272,U_271) )
& ( ! [U_270] : ~ ra_Px6(U_272,U_270)
| ~ cC24xcomp(U_272) ) ),
inference(variable_rename,[status(thm)],[f_61_1]) ).
fof(f_61_3,plain,
( ! [U_274] :
( cC24xcomp(U_274)
| ? [U_271] : ra_Px6(U_274,U_271) )
& ! [U_273] :
( ! [U_270] : ~ ra_Px6(U_273,U_270)
| ~ cC24xcomp(U_273) ) ),
inference(miniscope,[status(thm)],[f_61_2]) ).
fof(f_61_4,plain,
( ! [U_274] :
( cC24xcomp(U_274)
| ra_Px6(U_274,sK46(U_274)) )
& ! [U_273] :
( ! [U_270] : ~ ra_Px6(U_273,U_270)
| ~ cC24xcomp(U_273) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK46]),skolemize(U_271,sK46(U_274))],[f_61_3]) ).
cnf(f_61_5,plain,
( ~ ra_Px6(U_273,U_270)
| ~ cC24xcomp(U_273) ),
inference(clausify,[status(thm)],[f_61_4]) ).
cnf(f_61_6,plain,
( cC24xcomp(U_274)
| ra_Px6(U_274,sK46(U_274)) ),
inference(clausify,[status(thm)],[f_61_4]) ).
fof(f_62_1,plain,
! [X] :
( ( cC26(X)
| ~ cC24xcomp(X)
| ~ cC14(X) )
& ( ( cC24xcomp(X)
& cC14(X) )
| ~ cC26(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_61]) ).
fof(f_62_2,plain,
! [U_275] :
( ( cC26(U_275)
| ~ cC24xcomp(U_275)
| ~ cC14(U_275) )
& ( ( cC24xcomp(U_275)
& cC14(U_275) )
| ~ cC26(U_275) ) ),
inference(variable_rename,[status(thm)],[f_62_1]) ).
fof(f_62_3,plain,
( ! [U_277] :
( cC26(U_277)
| ~ cC24xcomp(U_277)
| ~ cC14(U_277) )
& ! [U_276] :
( ( cC24xcomp(U_276)
& cC14(U_276) )
| ~ cC26(U_276) ) ),
inference(miniscope,[status(thm)],[f_62_2]) ).
cnf(f_62_4,plain,
( cC14(U_276)
| ~ cC26(U_276) ),
inference(clausify,[status(thm)],[f_62_3]) ).
cnf(f_62_5,plain,
( cC24xcomp(U_276)
| ~ cC26(U_276) ),
inference(clausify,[status(thm)],[f_62_3]) ).
cnf(f_62_6,plain,
( cC26(U_277)
| ~ cC24xcomp(U_277)
| ~ cC14(U_277) ),
inference(clausify,[status(thm)],[f_62_3]) ).
fof(f_63_1,plain,
! [X] :
( ( cC26(X)
| ? [Y] : ra_Px10(X,Y) )
& ( ! [Y] : ~ ra_Px10(X,Y)
| ~ cC26(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_62]) ).
fof(f_63_2,plain,
! [U_280] :
( ( cC26(U_280)
| ? [U_279] : ra_Px10(U_280,U_279) )
& ( ! [U_278] : ~ ra_Px10(U_280,U_278)
| ~ cC26(U_280) ) ),
inference(variable_rename,[status(thm)],[f_63_1]) ).
fof(f_63_3,plain,
( ! [U_282] :
( cC26(U_282)
| ? [U_279] : ra_Px10(U_282,U_279) )
& ! [U_281] :
( ! [U_278] : ~ ra_Px10(U_281,U_278)
| ~ cC26(U_281) ) ),
inference(miniscope,[status(thm)],[f_63_2]) ).
fof(f_63_4,plain,
( ! [U_282] :
( cC26(U_282)
| ra_Px10(U_282,sK47(U_282)) )
& ! [U_281] :
( ! [U_278] : ~ ra_Px10(U_281,U_278)
| ~ cC26(U_281) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(U_279,sK47(U_282))],[f_63_3]) ).
cnf(f_63_5,plain,
( ~ ra_Px10(U_281,U_278)
| ~ cC26(U_281) ),
inference(clausify,[status(thm)],[f_63_4]) ).
cnf(f_63_6,plain,
( cC26(U_282)
| ra_Px10(U_282,sK47(U_282)) ),
inference(clausify,[status(thm)],[f_63_4]) ).
fof(f_64_1,plain,
! [X] :
( ( cC26xcomp(X)
| ! [Y0] : ~ ra_Px10(X,Y0) )
& ( ? [Y0] : ra_Px10(X,Y0)
| ~ cC26xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_63]) ).
fof(f_64_2,plain,
! [U_285] :
( ( cC26xcomp(U_285)
| ! [U_284] : ~ ra_Px10(U_285,U_284) )
& ( ? [U_283] : ra_Px10(U_285,U_283)
| ~ cC26xcomp(U_285) ) ),
inference(variable_rename,[status(thm)],[f_64_1]) ).
fof(f_64_3,plain,
( ! [U_287] :
( cC26xcomp(U_287)
| ! [U_284] : ~ ra_Px10(U_287,U_284) )
& ! [U_286] :
( ? [U_283] : ra_Px10(U_286,U_283)
| ~ cC26xcomp(U_286) ) ),
inference(miniscope,[status(thm)],[f_64_2]) ).
fof(f_64_4,plain,
( ! [U_287] :
( cC26xcomp(U_287)
| ! [U_284] : ~ ra_Px10(U_287,U_284) )
& ! [U_286] :
( ra_Px10(U_286,sK48(U_286))
| ~ cC26xcomp(U_286) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48]),skolemize(U_283,sK48(U_286))],[f_64_3]) ).
cnf(f_64_5,plain,
( ra_Px10(U_286,sK48(U_286))
| ~ cC26xcomp(U_286) ),
inference(clausify,[status(thm)],[f_64_4]) ).
cnf(f_64_6,plain,
( cC26xcomp(U_287)
| ~ ra_Px10(U_287,U_284) ),
inference(clausify,[status(thm)],[f_64_4]) ).
fof(f_65_1,plain,
! [X] :
( ( cC28(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC28(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_64]) ).
fof(f_65_2,plain,
! [U_290] :
( ( cC28(U_290)
| ! [U_289] :
( ~ cC2xcomp(U_289)
| ~ rR1(U_290,U_289) ) )
& ( ? [U_288] :
( cC2xcomp(U_288)
& rR1(U_290,U_288) )
| ~ cC28(U_290) ) ),
inference(variable_rename,[status(thm)],[f_65_1]) ).
fof(f_65_3,plain,
( ! [U_292] :
( cC28(U_292)
| ! [U_289] :
( ~ cC2xcomp(U_289)
| ~ rR1(U_292,U_289) ) )
& ! [U_291] :
( ? [U_288] :
( cC2xcomp(U_288)
& rR1(U_291,U_288) )
| ~ cC28(U_291) ) ),
inference(miniscope,[status(thm)],[f_65_2]) ).
fof(f_65_4,plain,
( ! [U_292] :
( cC28(U_292)
| ! [U_289] :
( ~ cC2xcomp(U_289)
| ~ rR1(U_292,U_289) ) )
& ! [U_291] :
( ( cC2xcomp(sK49(U_291))
& rR1(U_291,sK49(U_291)) )
| ~ cC28(U_291) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK49]),skolemize(U_288,sK49(U_291))],[f_65_3]) ).
cnf(f_65_5,plain,
( rR1(U_291,sK49(U_291))
| ~ cC28(U_291) ),
inference(clausify,[status(thm)],[f_65_4]) ).
cnf(f_65_6,plain,
( cC2xcomp(sK49(U_291))
| ~ cC28(U_291) ),
inference(clausify,[status(thm)],[f_65_4]) ).
cnf(f_65_7,plain,
( cC28(U_292)
| ~ cC2xcomp(U_289)
| ~ rR1(U_292,U_289) ),
inference(clausify,[status(thm)],[f_65_4]) ).
fof(f_66_1,plain,
! [X] :
( ( cC28(X)
| ? [Y] : ra_Px49(X,Y) )
& ( ! [Y] : ~ ra_Px49(X,Y)
| ~ cC28(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_65]) ).
fof(f_66_2,plain,
! [U_295] :
( ( cC28(U_295)
| ? [U_294] : ra_Px49(U_295,U_294) )
& ( ! [U_293] : ~ ra_Px49(U_295,U_293)
| ~ cC28(U_295) ) ),
inference(variable_rename,[status(thm)],[f_66_1]) ).
fof(f_66_3,plain,
( ! [U_297] :
( cC28(U_297)
| ? [U_294] : ra_Px49(U_297,U_294) )
& ! [U_296] :
( ! [U_293] : ~ ra_Px49(U_296,U_293)
| ~ cC28(U_296) ) ),
inference(miniscope,[status(thm)],[f_66_2]) ).
fof(f_66_4,plain,
( ! [U_297] :
( cC28(U_297)
| ra_Px49(U_297,sK50(U_297)) )
& ! [U_296] :
( ! [U_293] : ~ ra_Px49(U_296,U_293)
| ~ cC28(U_296) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50]),skolemize(U_294,sK50(U_297))],[f_66_3]) ).
cnf(f_66_5,plain,
( ~ ra_Px49(U_296,U_293)
| ~ cC28(U_296) ),
inference(clausify,[status(thm)],[f_66_4]) ).
cnf(f_66_6,plain,
( cC28(U_297)
| ra_Px49(U_297,sK50(U_297)) ),
inference(clausify,[status(thm)],[f_66_4]) ).
fof(f_67_1,plain,
! [X] :
( ( cC28xcomp(X)
| ! [Y0] : ~ ra_Px49(X,Y0) )
& ( ? [Y0] : ra_Px49(X,Y0)
| ~ cC28xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_66]) ).
fof(f_67_2,plain,
! [U_300] :
( ( cC28xcomp(U_300)
| ! [U_299] : ~ ra_Px49(U_300,U_299) )
& ( ? [U_298] : ra_Px49(U_300,U_298)
| ~ cC28xcomp(U_300) ) ),
inference(variable_rename,[status(thm)],[f_67_1]) ).
fof(f_67_3,plain,
( ! [U_302] :
( cC28xcomp(U_302)
| ! [U_299] : ~ ra_Px49(U_302,U_299) )
& ! [U_301] :
( ? [U_298] : ra_Px49(U_301,U_298)
| ~ cC28xcomp(U_301) ) ),
inference(miniscope,[status(thm)],[f_67_2]) ).
fof(f_67_4,plain,
( ! [U_302] :
( cC28xcomp(U_302)
| ! [U_299] : ~ ra_Px49(U_302,U_299) )
& ! [U_301] :
( ra_Px49(U_301,sK51(U_301))
| ~ cC28xcomp(U_301) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK51]),skolemize(U_298,sK51(U_301))],[f_67_3]) ).
cnf(f_67_5,plain,
( ra_Px49(U_301,sK51(U_301))
| ~ cC28xcomp(U_301) ),
inference(clausify,[status(thm)],[f_67_4]) ).
cnf(f_67_6,plain,
( cC28xcomp(U_302)
| ~ ra_Px49(U_302,U_299) ),
inference(clausify,[status(thm)],[f_67_4]) ).
fof(f_68_1,plain,
! [X] :
( ( cC30(X)
| ! [Y] :
( ~ cC28(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC28(Y)
& rR1(X,Y) )
| ~ cC30(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_67]) ).
fof(f_68_2,plain,
! [U_305] :
( ( cC30(U_305)
| ! [U_304] :
( ~ cC28(U_304)
| ~ rR1(U_305,U_304) ) )
& ( ? [U_303] :
( cC28(U_303)
& rR1(U_305,U_303) )
| ~ cC30(U_305) ) ),
inference(variable_rename,[status(thm)],[f_68_1]) ).
fof(f_68_3,plain,
( ! [U_307] :
( cC30(U_307)
| ! [U_304] :
( ~ cC28(U_304)
| ~ rR1(U_307,U_304) ) )
& ! [U_306] :
( ? [U_303] :
( cC28(U_303)
& rR1(U_306,U_303) )
| ~ cC30(U_306) ) ),
inference(miniscope,[status(thm)],[f_68_2]) ).
fof(f_68_4,plain,
( ! [U_307] :
( cC30(U_307)
| ! [U_304] :
( ~ cC28(U_304)
| ~ rR1(U_307,U_304) ) )
& ! [U_306] :
( ( cC28(sK52(U_306))
& rR1(U_306,sK52(U_306)) )
| ~ cC30(U_306) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK52]),skolemize(U_303,sK52(U_306))],[f_68_3]) ).
cnf(f_68_5,plain,
( rR1(U_306,sK52(U_306))
| ~ cC30(U_306) ),
inference(clausify,[status(thm)],[f_68_4]) ).
cnf(f_68_6,plain,
( cC28(sK52(U_306))
| ~ cC30(U_306) ),
inference(clausify,[status(thm)],[f_68_4]) ).
cnf(f_68_7,plain,
( cC30(U_307)
| ~ cC28(U_304)
| ~ rR1(U_307,U_304) ),
inference(clausify,[status(thm)],[f_68_4]) ).
fof(f_69_1,plain,
! [X] :
( ( cC30(X)
| ! [Y0] : ~ ra_Px44(X,Y0) )
& ( ? [Y0] : ra_Px44(X,Y0)
| ~ cC30(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_68]) ).
fof(f_69_2,plain,
! [U_310] :
( ( cC30(U_310)
| ! [U_309] : ~ ra_Px44(U_310,U_309) )
& ( ? [U_308] : ra_Px44(U_310,U_308)
| ~ cC30(U_310) ) ),
inference(variable_rename,[status(thm)],[f_69_1]) ).
fof(f_69_3,plain,
( ! [U_312] :
( cC30(U_312)
| ! [U_309] : ~ ra_Px44(U_312,U_309) )
& ! [U_311] :
( ? [U_308] : ra_Px44(U_311,U_308)
| ~ cC30(U_311) ) ),
inference(miniscope,[status(thm)],[f_69_2]) ).
fof(f_69_4,plain,
( ! [U_312] :
( cC30(U_312)
| ! [U_309] : ~ ra_Px44(U_312,U_309) )
& ! [U_311] :
( ra_Px44(U_311,sK53(U_311))
| ~ cC30(U_311) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK53]),skolemize(U_308,sK53(U_311))],[f_69_3]) ).
cnf(f_69_5,plain,
( ra_Px44(U_311,sK53(U_311))
| ~ cC30(U_311) ),
inference(clausify,[status(thm)],[f_69_4]) ).
cnf(f_69_6,plain,
( cC30(U_312)
| ~ ra_Px44(U_312,U_309) ),
inference(clausify,[status(thm)],[f_69_4]) ).
fof(f_70_1,plain,
! [X] :
( ( cC30xcomp(X)
| ? [Y] : ra_Px44(X,Y) )
& ( ! [Y] : ~ ra_Px44(X,Y)
| ~ cC30xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_69]) ).
fof(f_70_2,plain,
! [U_315] :
( ( cC30xcomp(U_315)
| ? [U_314] : ra_Px44(U_315,U_314) )
& ( ! [U_313] : ~ ra_Px44(U_315,U_313)
| ~ cC30xcomp(U_315) ) ),
inference(variable_rename,[status(thm)],[f_70_1]) ).
fof(f_70_3,plain,
( ! [U_317] :
( cC30xcomp(U_317)
| ? [U_314] : ra_Px44(U_317,U_314) )
& ! [U_316] :
( ! [U_313] : ~ ra_Px44(U_316,U_313)
| ~ cC30xcomp(U_316) ) ),
inference(miniscope,[status(thm)],[f_70_2]) ).
fof(f_70_4,plain,
( ! [U_317] :
( cC30xcomp(U_317)
| ra_Px44(U_317,sK54(U_317)) )
& ! [U_316] :
( ! [U_313] : ~ ra_Px44(U_316,U_313)
| ~ cC30xcomp(U_316) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK54]),skolemize(U_314,sK54(U_317))],[f_70_3]) ).
cnf(f_70_5,plain,
( ~ ra_Px44(U_316,U_313)
| ~ cC30xcomp(U_316) ),
inference(clausify,[status(thm)],[f_70_4]) ).
cnf(f_70_6,plain,
( cC30xcomp(U_317)
| ra_Px44(U_317,sK54(U_317)) ),
inference(clausify,[status(thm)],[f_70_4]) ).
fof(f_71_1,plain,
! [X] :
( ( cC32(X)
| ! [Y0] : ~ ra_Px9(X,Y0) )
& ( ? [Y0] : ra_Px9(X,Y0)
| ~ cC32(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_70]) ).
fof(f_71_2,plain,
! [U_320] :
( ( cC32(U_320)
| ! [U_319] : ~ ra_Px9(U_320,U_319) )
& ( ? [U_318] : ra_Px9(U_320,U_318)
| ~ cC32(U_320) ) ),
inference(variable_rename,[status(thm)],[f_71_1]) ).
fof(f_71_3,plain,
( ! [U_322] :
( cC32(U_322)
| ! [U_319] : ~ ra_Px9(U_322,U_319) )
& ! [U_321] :
( ? [U_318] : ra_Px9(U_321,U_318)
| ~ cC32(U_321) ) ),
inference(miniscope,[status(thm)],[f_71_2]) ).
fof(f_71_4,plain,
( ! [U_322] :
( cC32(U_322)
| ! [U_319] : ~ ra_Px9(U_322,U_319) )
& ! [U_321] :
( ra_Px9(U_321,sK55(U_321))
| ~ cC32(U_321) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK55]),skolemize(U_318,sK55(U_321))],[f_71_3]) ).
cnf(f_71_5,plain,
( ra_Px9(U_321,sK55(U_321))
| ~ cC32(U_321) ),
inference(clausify,[status(thm)],[f_71_4]) ).
cnf(f_71_6,plain,
( cC32(U_322)
| ~ ra_Px9(U_322,U_319) ),
inference(clausify,[status(thm)],[f_71_4]) ).
fof(f_72_1,plain,
! [X] :
( ( cC32(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC32(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_71]) ).
fof(f_72_2,plain,
! [U_325] :
( ( cC32(U_325)
| ! [U_324] :
( ~ cC2xcomp(U_324)
| ~ rR1(U_325,U_324) ) )
& ( ? [U_323] :
( cC2xcomp(U_323)
& rR1(U_325,U_323) )
| ~ cC32(U_325) ) ),
inference(variable_rename,[status(thm)],[f_72_1]) ).
fof(f_72_3,plain,
( ! [U_327] :
( cC32(U_327)
| ! [U_324] :
( ~ cC2xcomp(U_324)
| ~ rR1(U_327,U_324) ) )
& ! [U_326] :
( ? [U_323] :
( cC2xcomp(U_323)
& rR1(U_326,U_323) )
| ~ cC32(U_326) ) ),
inference(miniscope,[status(thm)],[f_72_2]) ).
fof(f_72_4,plain,
( ! [U_327] :
( cC32(U_327)
| ! [U_324] :
( ~ cC2xcomp(U_324)
| ~ rR1(U_327,U_324) ) )
& ! [U_326] :
( ( cC2xcomp(sK56(U_326))
& rR1(U_326,sK56(U_326)) )
| ~ cC32(U_326) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK56]),skolemize(U_323,sK56(U_326))],[f_72_3]) ).
cnf(f_72_5,plain,
( rR1(U_326,sK56(U_326))
| ~ cC32(U_326) ),
inference(clausify,[status(thm)],[f_72_4]) ).
cnf(f_72_6,plain,
( cC2xcomp(sK56(U_326))
| ~ cC32(U_326) ),
inference(clausify,[status(thm)],[f_72_4]) ).
cnf(f_72_7,plain,
( cC32(U_327)
| ~ cC2xcomp(U_324)
| ~ rR1(U_327,U_324) ),
inference(clausify,[status(thm)],[f_72_4]) ).
fof(f_73_1,plain,
! [X] :
( ( cC32xcomp(X)
| ? [Y] : ra_Px9(X,Y) )
& ( ! [Y] : ~ ra_Px9(X,Y)
| ~ cC32xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_72]) ).
fof(f_73_2,plain,
! [U_330] :
( ( cC32xcomp(U_330)
| ? [U_329] : ra_Px9(U_330,U_329) )
& ( ! [U_328] : ~ ra_Px9(U_330,U_328)
| ~ cC32xcomp(U_330) ) ),
inference(variable_rename,[status(thm)],[f_73_1]) ).
fof(f_73_3,plain,
( ! [U_332] :
( cC32xcomp(U_332)
| ? [U_329] : ra_Px9(U_332,U_329) )
& ! [U_331] :
( ! [U_328] : ~ ra_Px9(U_331,U_328)
| ~ cC32xcomp(U_331) ) ),
inference(miniscope,[status(thm)],[f_73_2]) ).
fof(f_73_4,plain,
( ! [U_332] :
( cC32xcomp(U_332)
| ra_Px9(U_332,sK57(U_332)) )
& ! [U_331] :
( ! [U_328] : ~ ra_Px9(U_331,U_328)
| ~ cC32xcomp(U_331) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57]),skolemize(U_329,sK57(U_332))],[f_73_3]) ).
cnf(f_73_5,plain,
( ~ ra_Px9(U_331,U_328)
| ~ cC32xcomp(U_331) ),
inference(clausify,[status(thm)],[f_73_4]) ).
cnf(f_73_6,plain,
( cC32xcomp(U_332)
| ra_Px9(U_332,sK57(U_332)) ),
inference(clausify,[status(thm)],[f_73_4]) ).
fof(f_74_1,plain,
! [X] :
( ( cC34(X)
| ? [Y] : ra_Px46(X,Y) )
& ( ! [Y] : ~ ra_Px46(X,Y)
| ~ cC34(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_73]) ).
fof(f_74_2,plain,
! [U_335] :
( ( cC34(U_335)
| ? [U_334] : ra_Px46(U_335,U_334) )
& ( ! [U_333] : ~ ra_Px46(U_335,U_333)
| ~ cC34(U_335) ) ),
inference(variable_rename,[status(thm)],[f_74_1]) ).
fof(f_74_3,plain,
( ! [U_337] :
( cC34(U_337)
| ? [U_334] : ra_Px46(U_337,U_334) )
& ! [U_336] :
( ! [U_333] : ~ ra_Px46(U_336,U_333)
| ~ cC34(U_336) ) ),
inference(miniscope,[status(thm)],[f_74_2]) ).
fof(f_74_4,plain,
( ! [U_337] :
( cC34(U_337)
| ra_Px46(U_337,sK58(U_337)) )
& ! [U_336] :
( ! [U_333] : ~ ra_Px46(U_336,U_333)
| ~ cC34(U_336) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK58]),skolemize(U_334,sK58(U_337))],[f_74_3]) ).
cnf(f_74_5,plain,
( ~ ra_Px46(U_336,U_333)
| ~ cC34(U_336) ),
inference(clausify,[status(thm)],[f_74_4]) ).
cnf(f_74_6,plain,
( cC34(U_337)
| ra_Px46(U_337,sK58(U_337)) ),
inference(clausify,[status(thm)],[f_74_4]) ).
fof(f_75_1,plain,
! [X] :
( ( cC34(X)
| ~ cC30(X)
| ~ cC32xcomp(X) )
& ( ( cC30(X)
& cC32xcomp(X) )
| ~ cC34(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_74]) ).
fof(f_75_2,plain,
! [U_338] :
( ( cC34(U_338)
| ~ cC30(U_338)
| ~ cC32xcomp(U_338) )
& ( ( cC30(U_338)
& cC32xcomp(U_338) )
| ~ cC34(U_338) ) ),
inference(variable_rename,[status(thm)],[f_75_1]) ).
fof(f_75_3,plain,
( ! [U_340] :
( cC34(U_340)
| ~ cC30(U_340)
| ~ cC32xcomp(U_340) )
& ! [U_339] :
( ( cC30(U_339)
& cC32xcomp(U_339) )
| ~ cC34(U_339) ) ),
inference(miniscope,[status(thm)],[f_75_2]) ).
cnf(f_75_4,plain,
( cC32xcomp(U_339)
| ~ cC34(U_339) ),
inference(clausify,[status(thm)],[f_75_3]) ).
cnf(f_75_5,plain,
( cC30(U_339)
| ~ cC34(U_339) ),
inference(clausify,[status(thm)],[f_75_3]) ).
cnf(f_75_6,plain,
( cC34(U_340)
| ~ cC30(U_340)
| ~ cC32xcomp(U_340) ),
inference(clausify,[status(thm)],[f_75_3]) ).
fof(f_76_1,plain,
! [X] :
( ( cC34xcomp(X)
| ! [Y0] : ~ ra_Px46(X,Y0) )
& ( ? [Y0] : ra_Px46(X,Y0)
| ~ cC34xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_75]) ).
fof(f_76_2,plain,
! [U_343] :
( ( cC34xcomp(U_343)
| ! [U_342] : ~ ra_Px46(U_343,U_342) )
& ( ? [U_341] : ra_Px46(U_343,U_341)
| ~ cC34xcomp(U_343) ) ),
inference(variable_rename,[status(thm)],[f_76_1]) ).
fof(f_76_3,plain,
( ! [U_345] :
( cC34xcomp(U_345)
| ! [U_342] : ~ ra_Px46(U_345,U_342) )
& ! [U_344] :
( ? [U_341] : ra_Px46(U_344,U_341)
| ~ cC34xcomp(U_344) ) ),
inference(miniscope,[status(thm)],[f_76_2]) ).
fof(f_76_4,plain,
( ! [U_345] :
( cC34xcomp(U_345)
| ! [U_342] : ~ ra_Px46(U_345,U_342) )
& ! [U_344] :
( ra_Px46(U_344,sK59(U_344))
| ~ cC34xcomp(U_344) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK59]),skolemize(U_341,sK59(U_344))],[f_76_3]) ).
cnf(f_76_5,plain,
( ra_Px46(U_344,sK59(U_344))
| ~ cC34xcomp(U_344) ),
inference(clausify,[status(thm)],[f_76_4]) ).
cnf(f_76_6,plain,
( cC34xcomp(U_345)
| ~ ra_Px46(U_345,U_342) ),
inference(clausify,[status(thm)],[f_76_4]) ).
fof(f_77_1,plain,
! [X] :
( ( cC36(X)
| ! [Y0] : ~ ra_Px11(X,Y0) )
& ( ? [Y0] : ra_Px11(X,Y0)
| ~ cC36(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_76]) ).
fof(f_77_2,plain,
! [U_348] :
( ( cC36(U_348)
| ! [U_347] : ~ ra_Px11(U_348,U_347) )
& ( ? [U_346] : ra_Px11(U_348,U_346)
| ~ cC36(U_348) ) ),
inference(variable_rename,[status(thm)],[f_77_1]) ).
fof(f_77_3,plain,
( ! [U_350] :
( cC36(U_350)
| ! [U_347] : ~ ra_Px11(U_350,U_347) )
& ! [U_349] :
( ? [U_346] : ra_Px11(U_349,U_346)
| ~ cC36(U_349) ) ),
inference(miniscope,[status(thm)],[f_77_2]) ).
fof(f_77_4,plain,
( ! [U_350] :
( cC36(U_350)
| ! [U_347] : ~ ra_Px11(U_350,U_347) )
& ! [U_349] :
( ra_Px11(U_349,sK60(U_349))
| ~ cC36(U_349) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK60]),skolemize(U_346,sK60(U_349))],[f_77_3]) ).
cnf(f_77_5,plain,
( ra_Px11(U_349,sK60(U_349))
| ~ cC36(U_349) ),
inference(clausify,[status(thm)],[f_77_4]) ).
cnf(f_77_6,plain,
( cC36(U_350)
| ~ ra_Px11(U_350,U_347) ),
inference(clausify,[status(thm)],[f_77_4]) ).
fof(f_78_1,plain,
! [X] :
( ( cC36(X)
| ! [Y] :
( ~ cC34(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC34(Y)
& rR1(X,Y) )
| ~ cC36(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_77]) ).
fof(f_78_2,plain,
! [U_353] :
( ( cC36(U_353)
| ! [U_352] :
( ~ cC34(U_352)
| ~ rR1(U_353,U_352) ) )
& ( ? [U_351] :
( cC34(U_351)
& rR1(U_353,U_351) )
| ~ cC36(U_353) ) ),
inference(variable_rename,[status(thm)],[f_78_1]) ).
fof(f_78_3,plain,
( ! [U_355] :
( cC36(U_355)
| ! [U_352] :
( ~ cC34(U_352)
| ~ rR1(U_355,U_352) ) )
& ! [U_354] :
( ? [U_351] :
( cC34(U_351)
& rR1(U_354,U_351) )
| ~ cC36(U_354) ) ),
inference(miniscope,[status(thm)],[f_78_2]) ).
fof(f_78_4,plain,
( ! [U_355] :
( cC36(U_355)
| ! [U_352] :
( ~ cC34(U_352)
| ~ rR1(U_355,U_352) ) )
& ! [U_354] :
( ( cC34(sK61(U_354))
& rR1(U_354,sK61(U_354)) )
| ~ cC36(U_354) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK61]),skolemize(U_351,sK61(U_354))],[f_78_3]) ).
cnf(f_78_5,plain,
( rR1(U_354,sK61(U_354))
| ~ cC36(U_354) ),
inference(clausify,[status(thm)],[f_78_4]) ).
cnf(f_78_6,plain,
( cC34(sK61(U_354))
| ~ cC36(U_354) ),
inference(clausify,[status(thm)],[f_78_4]) ).
cnf(f_78_7,plain,
( cC36(U_355)
| ~ cC34(U_352)
| ~ rR1(U_355,U_352) ),
inference(clausify,[status(thm)],[f_78_4]) ).
fof(f_79_1,plain,
! [X] :
( ( cC36xcomp(X)
| ? [Y] : ra_Px11(X,Y) )
& ( ! [Y] : ~ ra_Px11(X,Y)
| ~ cC36xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_78]) ).
fof(f_79_2,plain,
! [U_358] :
( ( cC36xcomp(U_358)
| ? [U_357] : ra_Px11(U_358,U_357) )
& ( ! [U_356] : ~ ra_Px11(U_358,U_356)
| ~ cC36xcomp(U_358) ) ),
inference(variable_rename,[status(thm)],[f_79_1]) ).
fof(f_79_3,plain,
( ! [U_360] :
( cC36xcomp(U_360)
| ? [U_357] : ra_Px11(U_360,U_357) )
& ! [U_359] :
( ! [U_356] : ~ ra_Px11(U_359,U_356)
| ~ cC36xcomp(U_359) ) ),
inference(miniscope,[status(thm)],[f_79_2]) ).
fof(f_79_4,plain,
( ! [U_360] :
( cC36xcomp(U_360)
| ra_Px11(U_360,sK62(U_360)) )
& ! [U_359] :
( ! [U_356] : ~ ra_Px11(U_359,U_356)
| ~ cC36xcomp(U_359) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK62]),skolemize(U_357,sK62(U_360))],[f_79_3]) ).
cnf(f_79_5,plain,
( ~ ra_Px11(U_359,U_356)
| ~ cC36xcomp(U_359) ),
inference(clausify,[status(thm)],[f_79_4]) ).
cnf(f_79_6,plain,
( cC36xcomp(U_360)
| ra_Px11(U_360,sK62(U_360)) ),
inference(clausify,[status(thm)],[f_79_4]) ).
fof(f_80_1,plain,
! [X] :
( ( cC38(X)
| ~ cC36xcomp(X)
| ~ cC26xcomp(X) )
& ( ( cC36xcomp(X)
& cC26xcomp(X) )
| ~ cC38(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_79]) ).
fof(f_80_2,plain,
! [U_361] :
( ( cC38(U_361)
| ~ cC36xcomp(U_361)
| ~ cC26xcomp(U_361) )
& ( ( cC36xcomp(U_361)
& cC26xcomp(U_361) )
| ~ cC38(U_361) ) ),
inference(variable_rename,[status(thm)],[f_80_1]) ).
fof(f_80_3,plain,
( ! [U_363] :
( cC38(U_363)
| ~ cC36xcomp(U_363)
| ~ cC26xcomp(U_363) )
& ! [U_362] :
( ( cC36xcomp(U_362)
& cC26xcomp(U_362) )
| ~ cC38(U_362) ) ),
inference(miniscope,[status(thm)],[f_80_2]) ).
cnf(f_80_4,plain,
( cC26xcomp(U_362)
| ~ cC38(U_362) ),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_5,plain,
( cC36xcomp(U_362)
| ~ cC38(U_362) ),
inference(clausify,[status(thm)],[f_80_3]) ).
cnf(f_80_6,plain,
( cC38(U_363)
| ~ cC36xcomp(U_363)
| ~ cC26xcomp(U_363) ),
inference(clausify,[status(thm)],[f_80_3]) ).
fof(f_81_1,plain,
! [X] :
( ( cC4(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC4(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_80]) ).
fof(f_81_2,plain,
! [U_366] :
( ( cC4(U_366)
| ! [U_365] :
( ~ cC2xcomp(U_365)
| ~ rR1(U_366,U_365) ) )
& ( ? [U_364] :
( cC2xcomp(U_364)
& rR1(U_366,U_364) )
| ~ cC4(U_366) ) ),
inference(variable_rename,[status(thm)],[f_81_1]) ).
fof(f_81_3,plain,
( ! [U_368] :
( cC4(U_368)
| ! [U_365] :
( ~ cC2xcomp(U_365)
| ~ rR1(U_368,U_365) ) )
& ! [U_367] :
( ? [U_364] :
( cC2xcomp(U_364)
& rR1(U_367,U_364) )
| ~ cC4(U_367) ) ),
inference(miniscope,[status(thm)],[f_81_2]) ).
fof(f_81_4,plain,
( ! [U_368] :
( cC4(U_368)
| ! [U_365] :
( ~ cC2xcomp(U_365)
| ~ rR1(U_368,U_365) ) )
& ! [U_367] :
( ( cC2xcomp(sK63(U_367))
& rR1(U_367,sK63(U_367)) )
| ~ cC4(U_367) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(U_364,sK63(U_367))],[f_81_3]) ).
cnf(f_81_5,plain,
( rR1(U_367,sK63(U_367))
| ~ cC4(U_367) ),
inference(clausify,[status(thm)],[f_81_4]) ).
cnf(f_81_6,plain,
( cC2xcomp(sK63(U_367))
| ~ cC4(U_367) ),
inference(clausify,[status(thm)],[f_81_4]) ).
cnf(f_81_7,plain,
( cC4(U_368)
| ~ cC2xcomp(U_365)
| ~ rR1(U_368,U_365) ),
inference(clausify,[status(thm)],[f_81_4]) ).
fof(f_82_1,plain,
! [X] :
( ( cC40(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC40(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_81]) ).
fof(f_82_2,plain,
! [U_371] :
( ( cC40(U_371)
| ! [U_370] :
( ~ cC2xcomp(U_370)
| ~ rR1(U_371,U_370) ) )
& ( ? [U_369] :
( cC2xcomp(U_369)
& rR1(U_371,U_369) )
| ~ cC40(U_371) ) ),
inference(variable_rename,[status(thm)],[f_82_1]) ).
fof(f_82_3,plain,
( ! [U_373] :
( cC40(U_373)
| ! [U_370] :
( ~ cC2xcomp(U_370)
| ~ rR1(U_373,U_370) ) )
& ! [U_372] :
( ? [U_369] :
( cC2xcomp(U_369)
& rR1(U_372,U_369) )
| ~ cC40(U_372) ) ),
inference(miniscope,[status(thm)],[f_82_2]) ).
fof(f_82_4,plain,
( ! [U_373] :
( cC40(U_373)
| ! [U_370] :
( ~ cC2xcomp(U_370)
| ~ rR1(U_373,U_370) ) )
& ! [U_372] :
( ( cC2xcomp(sK64(U_372))
& rR1(U_372,sK64(U_372)) )
| ~ cC40(U_372) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK64]),skolemize(U_369,sK64(U_372))],[f_82_3]) ).
cnf(f_82_5,plain,
( rR1(U_372,sK64(U_372))
| ~ cC40(U_372) ),
inference(clausify,[status(thm)],[f_82_4]) ).
cnf(f_82_6,plain,
( cC2xcomp(sK64(U_372))
| ~ cC40(U_372) ),
inference(clausify,[status(thm)],[f_82_4]) ).
cnf(f_82_7,plain,
( cC40(U_373)
| ~ cC2xcomp(U_370)
| ~ rR1(U_373,U_370) ),
inference(clausify,[status(thm)],[f_82_4]) ).
fof(f_83_1,plain,
! [X] :
( ( cC42(X)
| ~ cC40(X)
| ~ cC2xcomp(X) )
& ( ( cC40(X)
& cC2xcomp(X) )
| ~ cC42(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_82]) ).
fof(f_83_2,plain,
! [U_374] :
( ( cC42(U_374)
| ~ cC40(U_374)
| ~ cC2xcomp(U_374) )
& ( ( cC40(U_374)
& cC2xcomp(U_374) )
| ~ cC42(U_374) ) ),
inference(variable_rename,[status(thm)],[f_83_1]) ).
fof(f_83_3,plain,
( ! [U_376] :
( cC42(U_376)
| ~ cC40(U_376)
| ~ cC2xcomp(U_376) )
& ! [U_375] :
( ( cC40(U_375)
& cC2xcomp(U_375) )
| ~ cC42(U_375) ) ),
inference(miniscope,[status(thm)],[f_83_2]) ).
cnf(f_83_4,plain,
( cC2xcomp(U_375)
| ~ cC42(U_375) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_5,plain,
( cC40(U_375)
| ~ cC42(U_375) ),
inference(clausify,[status(thm)],[f_83_3]) ).
cnf(f_83_6,plain,
( cC42(U_376)
| ~ cC40(U_376)
| ~ cC2xcomp(U_376) ),
inference(clausify,[status(thm)],[f_83_3]) ).
fof(f_84_1,plain,
! [X] :
( ( cC44(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC44(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_83]) ).
fof(f_84_2,plain,
! [U_379] :
( ( cC44(U_379)
| ! [U_378] :
( ~ cC2xcomp(U_378)
| ~ rR1(U_379,U_378) ) )
& ( ? [U_377] :
( cC2xcomp(U_377)
& rR1(U_379,U_377) )
| ~ cC44(U_379) ) ),
inference(variable_rename,[status(thm)],[f_84_1]) ).
fof(f_84_3,plain,
( ! [U_381] :
( cC44(U_381)
| ! [U_378] :
( ~ cC2xcomp(U_378)
| ~ rR1(U_381,U_378) ) )
& ! [U_380] :
( ? [U_377] :
( cC2xcomp(U_377)
& rR1(U_380,U_377) )
| ~ cC44(U_380) ) ),
inference(miniscope,[status(thm)],[f_84_2]) ).
fof(f_84_4,plain,
( ! [U_381] :
( cC44(U_381)
| ! [U_378] :
( ~ cC2xcomp(U_378)
| ~ rR1(U_381,U_378) ) )
& ! [U_380] :
( ( cC2xcomp(sK65(U_380))
& rR1(U_380,sK65(U_380)) )
| ~ cC44(U_380) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK65]),skolemize(U_377,sK65(U_380))],[f_84_3]) ).
cnf(f_84_5,plain,
( rR1(U_380,sK65(U_380))
| ~ cC44(U_380) ),
inference(clausify,[status(thm)],[f_84_4]) ).
cnf(f_84_6,plain,
( cC2xcomp(sK65(U_380))
| ~ cC44(U_380) ),
inference(clausify,[status(thm)],[f_84_4]) ).
cnf(f_84_7,plain,
( cC44(U_381)
| ~ cC2xcomp(U_378)
| ~ rR1(U_381,U_378) ),
inference(clausify,[status(thm)],[f_84_4]) ).
fof(f_85_1,plain,
! [X] :
( ( cC44(X)
| ! [Y0] : ~ ra_Px15(X,Y0) )
& ( ? [Y0] : ra_Px15(X,Y0)
| ~ cC44(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_84]) ).
fof(f_85_2,plain,
! [U_384] :
( ( cC44(U_384)
| ! [U_383] : ~ ra_Px15(U_384,U_383) )
& ( ? [U_382] : ra_Px15(U_384,U_382)
| ~ cC44(U_384) ) ),
inference(variable_rename,[status(thm)],[f_85_1]) ).
fof(f_85_3,plain,
( ! [U_386] :
( cC44(U_386)
| ! [U_383] : ~ ra_Px15(U_386,U_383) )
& ! [U_385] :
( ? [U_382] : ra_Px15(U_385,U_382)
| ~ cC44(U_385) ) ),
inference(miniscope,[status(thm)],[f_85_2]) ).
fof(f_85_4,plain,
( ! [U_386] :
( cC44(U_386)
| ! [U_383] : ~ ra_Px15(U_386,U_383) )
& ! [U_385] :
( ra_Px15(U_385,sK66(U_385))
| ~ cC44(U_385) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK66]),skolemize(U_382,sK66(U_385))],[f_85_3]) ).
cnf(f_85_5,plain,
( ra_Px15(U_385,sK66(U_385))
| ~ cC44(U_385) ),
inference(clausify,[status(thm)],[f_85_4]) ).
cnf(f_85_6,plain,
( cC44(U_386)
| ~ ra_Px15(U_386,U_383) ),
inference(clausify,[status(thm)],[f_85_4]) ).
fof(f_86_1,plain,
! [X] :
( ( cC44xcomp(X)
| ? [Y] : ra_Px15(X,Y) )
& ( ! [Y] : ~ ra_Px15(X,Y)
| ~ cC44xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_85]) ).
fof(f_86_2,plain,
! [U_389] :
( ( cC44xcomp(U_389)
| ? [U_388] : ra_Px15(U_389,U_388) )
& ( ! [U_387] : ~ ra_Px15(U_389,U_387)
| ~ cC44xcomp(U_389) ) ),
inference(variable_rename,[status(thm)],[f_86_1]) ).
fof(f_86_3,plain,
( ! [U_391] :
( cC44xcomp(U_391)
| ? [U_388] : ra_Px15(U_391,U_388) )
& ! [U_390] :
( ! [U_387] : ~ ra_Px15(U_390,U_387)
| ~ cC44xcomp(U_390) ) ),
inference(miniscope,[status(thm)],[f_86_2]) ).
fof(f_86_4,plain,
( ! [U_391] :
( cC44xcomp(U_391)
| ra_Px15(U_391,sK67(U_391)) )
& ! [U_390] :
( ! [U_387] : ~ ra_Px15(U_390,U_387)
| ~ cC44xcomp(U_390) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK67]),skolemize(U_388,sK67(U_391))],[f_86_3]) ).
cnf(f_86_5,plain,
( ~ ra_Px15(U_390,U_387)
| ~ cC44xcomp(U_390) ),
inference(clausify,[status(thm)],[f_86_4]) ).
cnf(f_86_6,plain,
( cC44xcomp(U_391)
| ra_Px15(U_391,sK67(U_391)) ),
inference(clausify,[status(thm)],[f_86_4]) ).
fof(f_87_1,plain,
! [X] :
( ( cC46(X)
| ! [Y] :
( ~ cC44xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC44xcomp(Y)
& rR1(X,Y) )
| ~ cC46(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_86]) ).
fof(f_87_2,plain,
! [U_394] :
( ( cC46(U_394)
| ! [U_393] :
( ~ cC44xcomp(U_393)
| ~ rR1(U_394,U_393) ) )
& ( ? [U_392] :
( cC44xcomp(U_392)
& rR1(U_394,U_392) )
| ~ cC46(U_394) ) ),
inference(variable_rename,[status(thm)],[f_87_1]) ).
fof(f_87_3,plain,
( ! [U_396] :
( cC46(U_396)
| ! [U_393] :
( ~ cC44xcomp(U_393)
| ~ rR1(U_396,U_393) ) )
& ! [U_395] :
( ? [U_392] :
( cC44xcomp(U_392)
& rR1(U_395,U_392) )
| ~ cC46(U_395) ) ),
inference(miniscope,[status(thm)],[f_87_2]) ).
fof(f_87_4,plain,
( ! [U_396] :
( cC46(U_396)
| ! [U_393] :
( ~ cC44xcomp(U_393)
| ~ rR1(U_396,U_393) ) )
& ! [U_395] :
( ( cC44xcomp(sK68(U_395))
& rR1(U_395,sK68(U_395)) )
| ~ cC46(U_395) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK68]),skolemize(U_392,sK68(U_395))],[f_87_3]) ).
cnf(f_87_5,plain,
( rR1(U_395,sK68(U_395))
| ~ cC46(U_395) ),
inference(clausify,[status(thm)],[f_87_4]) ).
cnf(f_87_6,plain,
( cC44xcomp(sK68(U_395))
| ~ cC46(U_395) ),
inference(clausify,[status(thm)],[f_87_4]) ).
cnf(f_87_7,plain,
( cC46(U_396)
| ~ cC44xcomp(U_393)
| ~ rR1(U_396,U_393) ),
inference(clausify,[status(thm)],[f_87_4]) ).
fof(f_88_1,plain,
! [X] :
( ( cC48(X)
| ~ cC46(X)
| ~ cC42(X) )
& ( ( cC46(X)
& cC42(X) )
| ~ cC48(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_87]) ).
fof(f_88_2,plain,
! [U_397] :
( ( cC48(U_397)
| ~ cC46(U_397)
| ~ cC42(U_397) )
& ( ( cC46(U_397)
& cC42(U_397) )
| ~ cC48(U_397) ) ),
inference(variable_rename,[status(thm)],[f_88_1]) ).
fof(f_88_3,plain,
( ! [U_399] :
( cC48(U_399)
| ~ cC46(U_399)
| ~ cC42(U_399) )
& ! [U_398] :
( ( cC46(U_398)
& cC42(U_398) )
| ~ cC48(U_398) ) ),
inference(miniscope,[status(thm)],[f_88_2]) ).
cnf(f_88_4,plain,
( cC42(U_398)
| ~ cC48(U_398) ),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_5,plain,
( cC46(U_398)
| ~ cC48(U_398) ),
inference(clausify,[status(thm)],[f_88_3]) ).
cnf(f_88_6,plain,
( cC48(U_399)
| ~ cC46(U_399)
| ~ cC42(U_399) ),
inference(clausify,[status(thm)],[f_88_3]) ).
fof(f_89_1,plain,
! [X] :
( ( cC50(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC50(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_88]) ).
fof(f_89_2,plain,
! [U_402] :
( ( cC50(U_402)
| ! [U_401] :
( ~ cC2xcomp(U_401)
| ~ rR1(U_402,U_401) ) )
& ( ? [U_400] :
( cC2xcomp(U_400)
& rR1(U_402,U_400) )
| ~ cC50(U_402) ) ),
inference(variable_rename,[status(thm)],[f_89_1]) ).
fof(f_89_3,plain,
( ! [U_404] :
( cC50(U_404)
| ! [U_401] :
( ~ cC2xcomp(U_401)
| ~ rR1(U_404,U_401) ) )
& ! [U_403] :
( ? [U_400] :
( cC2xcomp(U_400)
& rR1(U_403,U_400) )
| ~ cC50(U_403) ) ),
inference(miniscope,[status(thm)],[f_89_2]) ).
fof(f_89_4,plain,
( ! [U_404] :
( cC50(U_404)
| ! [U_401] :
( ~ cC2xcomp(U_401)
| ~ rR1(U_404,U_401) ) )
& ! [U_403] :
( ( cC2xcomp(sK69(U_403))
& rR1(U_403,sK69(U_403)) )
| ~ cC50(U_403) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK69]),skolemize(U_400,sK69(U_403))],[f_89_3]) ).
cnf(f_89_5,plain,
( rR1(U_403,sK69(U_403))
| ~ cC50(U_403) ),
inference(clausify,[status(thm)],[f_89_4]) ).
cnf(f_89_6,plain,
( cC2xcomp(sK69(U_403))
| ~ cC50(U_403) ),
inference(clausify,[status(thm)],[f_89_4]) ).
cnf(f_89_7,plain,
( cC50(U_404)
| ~ cC2xcomp(U_401)
| ~ rR1(U_404,U_401) ),
inference(clausify,[status(thm)],[f_89_4]) ).
fof(f_90_1,plain,
! [X] :
( ( cC52(X)
| ~ cC50(X)
| ~ cC2(X) )
& ( ( cC50(X)
& cC2(X) )
| ~ cC52(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_89]) ).
fof(f_90_2,plain,
! [U_405] :
( ( cC52(U_405)
| ~ cC50(U_405)
| ~ cC2(U_405) )
& ( ( cC50(U_405)
& cC2(U_405) )
| ~ cC52(U_405) ) ),
inference(variable_rename,[status(thm)],[f_90_1]) ).
fof(f_90_3,plain,
( ! [U_407] :
( cC52(U_407)
| ~ cC50(U_407)
| ~ cC2(U_407) )
& ! [U_406] :
( ( cC50(U_406)
& cC2(U_406) )
| ~ cC52(U_406) ) ),
inference(miniscope,[status(thm)],[f_90_2]) ).
cnf(f_90_4,plain,
( cC2(U_406)
| ~ cC52(U_406) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_5,plain,
( cC50(U_406)
| ~ cC52(U_406) ),
inference(clausify,[status(thm)],[f_90_3]) ).
cnf(f_90_6,plain,
( cC52(U_407)
| ~ cC50(U_407)
| ~ cC2(U_407) ),
inference(clausify,[status(thm)],[f_90_3]) ).
fof(f_91_1,plain,
! [X] :
( ( cC54(X)
| ! [Y0] : ~ ra_Px18(X,Y0) )
& ( ? [Y0] : ra_Px18(X,Y0)
| ~ cC54(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_90]) ).
fof(f_91_2,plain,
! [U_410] :
( ( cC54(U_410)
| ! [U_409] : ~ ra_Px18(U_410,U_409) )
& ( ? [U_408] : ra_Px18(U_410,U_408)
| ~ cC54(U_410) ) ),
inference(variable_rename,[status(thm)],[f_91_1]) ).
fof(f_91_3,plain,
( ! [U_412] :
( cC54(U_412)
| ! [U_409] : ~ ra_Px18(U_412,U_409) )
& ! [U_411] :
( ? [U_408] : ra_Px18(U_411,U_408)
| ~ cC54(U_411) ) ),
inference(miniscope,[status(thm)],[f_91_2]) ).
fof(f_91_4,plain,
( ! [U_412] :
( cC54(U_412)
| ! [U_409] : ~ ra_Px18(U_412,U_409) )
& ! [U_411] :
( ra_Px18(U_411,sK70(U_411))
| ~ cC54(U_411) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK70]),skolemize(U_408,sK70(U_411))],[f_91_3]) ).
cnf(f_91_5,plain,
( ra_Px18(U_411,sK70(U_411))
| ~ cC54(U_411) ),
inference(clausify,[status(thm)],[f_91_4]) ).
cnf(f_91_6,plain,
( cC54(U_412)
| ~ ra_Px18(U_412,U_409) ),
inference(clausify,[status(thm)],[f_91_4]) ).
fof(f_92_1,plain,
! [X] :
( ( cC54(X)
| ! [Y] :
( ~ cC52(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC52(Y)
& rR1(X,Y) )
| ~ cC54(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_91]) ).
fof(f_92_2,plain,
! [U_415] :
( ( cC54(U_415)
| ! [U_414] :
( ~ cC52(U_414)
| ~ rR1(U_415,U_414) ) )
& ( ? [U_413] :
( cC52(U_413)
& rR1(U_415,U_413) )
| ~ cC54(U_415) ) ),
inference(variable_rename,[status(thm)],[f_92_1]) ).
fof(f_92_3,plain,
( ! [U_417] :
( cC54(U_417)
| ! [U_414] :
( ~ cC52(U_414)
| ~ rR1(U_417,U_414) ) )
& ! [U_416] :
( ? [U_413] :
( cC52(U_413)
& rR1(U_416,U_413) )
| ~ cC54(U_416) ) ),
inference(miniscope,[status(thm)],[f_92_2]) ).
fof(f_92_4,plain,
( ! [U_417] :
( cC54(U_417)
| ! [U_414] :
( ~ cC52(U_414)
| ~ rR1(U_417,U_414) ) )
& ! [U_416] :
( ( cC52(sK71(U_416))
& rR1(U_416,sK71(U_416)) )
| ~ cC54(U_416) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK71]),skolemize(U_413,sK71(U_416))],[f_92_3]) ).
cnf(f_92_5,plain,
( rR1(U_416,sK71(U_416))
| ~ cC54(U_416) ),
inference(clausify,[status(thm)],[f_92_4]) ).
cnf(f_92_6,plain,
( cC52(sK71(U_416))
| ~ cC54(U_416) ),
inference(clausify,[status(thm)],[f_92_4]) ).
cnf(f_92_7,plain,
( cC54(U_417)
| ~ cC52(U_414)
| ~ rR1(U_417,U_414) ),
inference(clausify,[status(thm)],[f_92_4]) ).
fof(f_93_1,plain,
! [X] :
( ( cC54xcomp(X)
| ? [Y] : ra_Px18(X,Y) )
& ( ! [Y] : ~ ra_Px18(X,Y)
| ~ cC54xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_92]) ).
fof(f_93_2,plain,
! [U_420] :
( ( cC54xcomp(U_420)
| ? [U_419] : ra_Px18(U_420,U_419) )
& ( ! [U_418] : ~ ra_Px18(U_420,U_418)
| ~ cC54xcomp(U_420) ) ),
inference(variable_rename,[status(thm)],[f_93_1]) ).
fof(f_93_3,plain,
( ! [U_422] :
( cC54xcomp(U_422)
| ? [U_419] : ra_Px18(U_422,U_419) )
& ! [U_421] :
( ! [U_418] : ~ ra_Px18(U_421,U_418)
| ~ cC54xcomp(U_421) ) ),
inference(miniscope,[status(thm)],[f_93_2]) ).
fof(f_93_4,plain,
( ! [U_422] :
( cC54xcomp(U_422)
| ra_Px18(U_422,sK72(U_422)) )
& ! [U_421] :
( ! [U_418] : ~ ra_Px18(U_421,U_418)
| ~ cC54xcomp(U_421) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK72]),skolemize(U_419,sK72(U_422))],[f_93_3]) ).
cnf(f_93_5,plain,
( ~ ra_Px18(U_421,U_418)
| ~ cC54xcomp(U_421) ),
inference(clausify,[status(thm)],[f_93_4]) ).
cnf(f_93_6,plain,
( cC54xcomp(U_422)
| ra_Px18(U_422,sK72(U_422)) ),
inference(clausify,[status(thm)],[f_93_4]) ).
fof(f_94_1,plain,
! [X] :
( ( cC56(X)
| ~ cC54xcomp(X)
| ~ cC2xcomp(X) )
& ( ( cC54xcomp(X)
& cC2xcomp(X) )
| ~ cC56(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_93]) ).
fof(f_94_2,plain,
! [U_423] :
( ( cC56(U_423)
| ~ cC54xcomp(U_423)
| ~ cC2xcomp(U_423) )
& ( ( cC54xcomp(U_423)
& cC2xcomp(U_423) )
| ~ cC56(U_423) ) ),
inference(variable_rename,[status(thm)],[f_94_1]) ).
fof(f_94_3,plain,
( ! [U_425] :
( cC56(U_425)
| ~ cC54xcomp(U_425)
| ~ cC2xcomp(U_425) )
& ! [U_424] :
( ( cC54xcomp(U_424)
& cC2xcomp(U_424) )
| ~ cC56(U_424) ) ),
inference(miniscope,[status(thm)],[f_94_2]) ).
cnf(f_94_4,plain,
( cC2xcomp(U_424)
| ~ cC56(U_424) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_5,plain,
( cC54xcomp(U_424)
| ~ cC56(U_424) ),
inference(clausify,[status(thm)],[f_94_3]) ).
cnf(f_94_6,plain,
( cC56(U_425)
| ~ cC54xcomp(U_425)
| ~ cC2xcomp(U_425) ),
inference(clausify,[status(thm)],[f_94_3]) ).
fof(f_95_1,plain,
! [X] :
( ( cC58(X)
| ! [Y] :
( ~ cC56(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC56(Y)
& rR1(X,Y) )
| ~ cC58(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_94]) ).
fof(f_95_2,plain,
! [U_428] :
( ( cC58(U_428)
| ! [U_427] :
( ~ cC56(U_427)
| ~ rR1(U_428,U_427) ) )
& ( ? [U_426] :
( cC56(U_426)
& rR1(U_428,U_426) )
| ~ cC58(U_428) ) ),
inference(variable_rename,[status(thm)],[f_95_1]) ).
fof(f_95_3,plain,
( ! [U_430] :
( cC58(U_430)
| ! [U_427] :
( ~ cC56(U_427)
| ~ rR1(U_430,U_427) ) )
& ! [U_429] :
( ? [U_426] :
( cC56(U_426)
& rR1(U_429,U_426) )
| ~ cC58(U_429) ) ),
inference(miniscope,[status(thm)],[f_95_2]) ).
fof(f_95_4,plain,
( ! [U_430] :
( cC58(U_430)
| ! [U_427] :
( ~ cC56(U_427)
| ~ rR1(U_430,U_427) ) )
& ! [U_429] :
( ( cC56(sK73(U_429))
& rR1(U_429,sK73(U_429)) )
| ~ cC58(U_429) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(U_426,sK73(U_429))],[f_95_3]) ).
cnf(f_95_5,plain,
( rR1(U_429,sK73(U_429))
| ~ cC58(U_429) ),
inference(clausify,[status(thm)],[f_95_4]) ).
cnf(f_95_6,plain,
( cC56(sK73(U_429))
| ~ cC58(U_429) ),
inference(clausify,[status(thm)],[f_95_4]) ).
cnf(f_95_7,plain,
( cC58(U_430)
| ~ cC56(U_427)
| ~ rR1(U_430,U_427) ),
inference(clausify,[status(thm)],[f_95_4]) ).
fof(f_96_1,plain,
! [X] :
( ( cC58(X)
| ? [Y] : ra_Px19(X,Y) )
& ( ! [Y] : ~ ra_Px19(X,Y)
| ~ cC58(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_95]) ).
fof(f_96_2,plain,
! [U_433] :
( ( cC58(U_433)
| ? [U_432] : ra_Px19(U_433,U_432) )
& ( ! [U_431] : ~ ra_Px19(U_433,U_431)
| ~ cC58(U_433) ) ),
inference(variable_rename,[status(thm)],[f_96_1]) ).
fof(f_96_3,plain,
( ! [U_435] :
( cC58(U_435)
| ? [U_432] : ra_Px19(U_435,U_432) )
& ! [U_434] :
( ! [U_431] : ~ ra_Px19(U_434,U_431)
| ~ cC58(U_434) ) ),
inference(miniscope,[status(thm)],[f_96_2]) ).
fof(f_96_4,plain,
( ! [U_435] :
( cC58(U_435)
| ra_Px19(U_435,sK74(U_435)) )
& ! [U_434] :
( ! [U_431] : ~ ra_Px19(U_434,U_431)
| ~ cC58(U_434) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74]),skolemize(U_432,sK74(U_435))],[f_96_3]) ).
cnf(f_96_5,plain,
( ~ ra_Px19(U_434,U_431)
| ~ cC58(U_434) ),
inference(clausify,[status(thm)],[f_96_4]) ).
cnf(f_96_6,plain,
( cC58(U_435)
| ra_Px19(U_435,sK74(U_435)) ),
inference(clausify,[status(thm)],[f_96_4]) ).
fof(f_97_1,plain,
! [X] :
( ( cC58xcomp(X)
| ! [Y0] : ~ ra_Px19(X,Y0) )
& ( ? [Y0] : ra_Px19(X,Y0)
| ~ cC58xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_96]) ).
fof(f_97_2,plain,
! [U_438] :
( ( cC58xcomp(U_438)
| ! [U_437] : ~ ra_Px19(U_438,U_437) )
& ( ? [U_436] : ra_Px19(U_438,U_436)
| ~ cC58xcomp(U_438) ) ),
inference(variable_rename,[status(thm)],[f_97_1]) ).
fof(f_97_3,plain,
( ! [U_440] :
( cC58xcomp(U_440)
| ! [U_437] : ~ ra_Px19(U_440,U_437) )
& ! [U_439] :
( ? [U_436] : ra_Px19(U_439,U_436)
| ~ cC58xcomp(U_439) ) ),
inference(miniscope,[status(thm)],[f_97_2]) ).
fof(f_97_4,plain,
( ! [U_440] :
( cC58xcomp(U_440)
| ! [U_437] : ~ ra_Px19(U_440,U_437) )
& ! [U_439] :
( ra_Px19(U_439,sK75(U_439))
| ~ cC58xcomp(U_439) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75]),skolemize(U_436,sK75(U_439))],[f_97_3]) ).
cnf(f_97_5,plain,
( ra_Px19(U_439,sK75(U_439))
| ~ cC58xcomp(U_439) ),
inference(clausify,[status(thm)],[f_97_4]) ).
cnf(f_97_6,plain,
( cC58xcomp(U_440)
| ~ ra_Px19(U_440,U_437) ),
inference(clausify,[status(thm)],[f_97_4]) ).
fof(f_98_1,plain,
! [X] :
( ( cC6(X)
| ~ cC4(X)
| ~ cC2(X) )
& ( ( cC4(X)
& cC2(X) )
| ~ cC6(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_97]) ).
fof(f_98_2,plain,
! [U_441] :
( ( cC6(U_441)
| ~ cC4(U_441)
| ~ cC2(U_441) )
& ( ( cC4(U_441)
& cC2(U_441) )
| ~ cC6(U_441) ) ),
inference(variable_rename,[status(thm)],[f_98_1]) ).
fof(f_98_3,plain,
( ! [U_443] :
( cC6(U_443)
| ~ cC4(U_443)
| ~ cC2(U_443) )
& ! [U_442] :
( ( cC4(U_442)
& cC2(U_442) )
| ~ cC6(U_442) ) ),
inference(miniscope,[status(thm)],[f_98_2]) ).
cnf(f_98_4,plain,
( cC2(U_442)
| ~ cC6(U_442) ),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_5,plain,
( cC4(U_442)
| ~ cC6(U_442) ),
inference(clausify,[status(thm)],[f_98_3]) ).
cnf(f_98_6,plain,
( cC6(U_443)
| ~ cC4(U_443)
| ~ cC2(U_443) ),
inference(clausify,[status(thm)],[f_98_3]) ).
fof(f_99_1,plain,
! [X] :
( ( cC60(X)
| ~ cC58xcomp(X)
| ~ cC48(X) )
& ( ( cC58xcomp(X)
& cC48(X) )
| ~ cC60(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_98]) ).
fof(f_99_2,plain,
! [U_444] :
( ( cC60(U_444)
| ~ cC58xcomp(U_444)
| ~ cC48(U_444) )
& ( ( cC58xcomp(U_444)
& cC48(U_444) )
| ~ cC60(U_444) ) ),
inference(variable_rename,[status(thm)],[f_99_1]) ).
fof(f_99_3,plain,
( ! [U_446] :
( cC60(U_446)
| ~ cC58xcomp(U_446)
| ~ cC48(U_446) )
& ! [U_445] :
( ( cC58xcomp(U_445)
& cC48(U_445) )
| ~ cC60(U_445) ) ),
inference(miniscope,[status(thm)],[f_99_2]) ).
cnf(f_99_4,plain,
( cC48(U_445)
| ~ cC60(U_445) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_5,plain,
( cC58xcomp(U_445)
| ~ cC60(U_445) ),
inference(clausify,[status(thm)],[f_99_3]) ).
cnf(f_99_6,plain,
( cC60(U_446)
| ~ cC58xcomp(U_446)
| ~ cC48(U_446) ),
inference(clausify,[status(thm)],[f_99_3]) ).
fof(f_100_1,plain,
! [X] :
( ( cC60(X)
| ! [Y0] : ~ ra_Px20(X,Y0) )
& ( ? [Y0] : ra_Px20(X,Y0)
| ~ cC60(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_99]) ).
fof(f_100_2,plain,
! [U_449] :
( ( cC60(U_449)
| ! [U_448] : ~ ra_Px20(U_449,U_448) )
& ( ? [U_447] : ra_Px20(U_449,U_447)
| ~ cC60(U_449) ) ),
inference(variable_rename,[status(thm)],[f_100_1]) ).
fof(f_100_3,plain,
( ! [U_451] :
( cC60(U_451)
| ! [U_448] : ~ ra_Px20(U_451,U_448) )
& ! [U_450] :
( ? [U_447] : ra_Px20(U_450,U_447)
| ~ cC60(U_450) ) ),
inference(miniscope,[status(thm)],[f_100_2]) ).
fof(f_100_4,plain,
( ! [U_451] :
( cC60(U_451)
| ! [U_448] : ~ ra_Px20(U_451,U_448) )
& ! [U_450] :
( ra_Px20(U_450,sK76(U_450))
| ~ cC60(U_450) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76]),skolemize(U_447,sK76(U_450))],[f_100_3]) ).
cnf(f_100_5,plain,
( ra_Px20(U_450,sK76(U_450))
| ~ cC60(U_450) ),
inference(clausify,[status(thm)],[f_100_4]) ).
cnf(f_100_6,plain,
( cC60(U_451)
| ~ ra_Px20(U_451,U_448) ),
inference(clausify,[status(thm)],[f_100_4]) ).
fof(f_101_1,plain,
! [X] :
( ( cC60xcomp(X)
| ? [Y] : ra_Px20(X,Y) )
& ( ! [Y] : ~ ra_Px20(X,Y)
| ~ cC60xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_100]) ).
fof(f_101_2,plain,
! [U_454] :
( ( cC60xcomp(U_454)
| ? [U_453] : ra_Px20(U_454,U_453) )
& ( ! [U_452] : ~ ra_Px20(U_454,U_452)
| ~ cC60xcomp(U_454) ) ),
inference(variable_rename,[status(thm)],[f_101_1]) ).
fof(f_101_3,plain,
( ! [U_456] :
( cC60xcomp(U_456)
| ? [U_453] : ra_Px20(U_456,U_453) )
& ! [U_455] :
( ! [U_452] : ~ ra_Px20(U_455,U_452)
| ~ cC60xcomp(U_455) ) ),
inference(miniscope,[status(thm)],[f_101_2]) ).
fof(f_101_4,plain,
( ! [U_456] :
( cC60xcomp(U_456)
| ra_Px20(U_456,sK77(U_456)) )
& ! [U_455] :
( ! [U_452] : ~ ra_Px20(U_455,U_452)
| ~ cC60xcomp(U_455) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK77]),skolemize(U_453,sK77(U_456))],[f_101_3]) ).
cnf(f_101_5,plain,
( ~ ra_Px20(U_455,U_452)
| ~ cC60xcomp(U_455) ),
inference(clausify,[status(thm)],[f_101_4]) ).
cnf(f_101_6,plain,
( cC60xcomp(U_456)
| ra_Px20(U_456,sK77(U_456)) ),
inference(clausify,[status(thm)],[f_101_4]) ).
fof(f_102_1,plain,
! [X] :
( ( cC62(X)
| ~ cC60xcomp(X)
| ~ cC38(X) )
& ( ( cC60xcomp(X)
& cC38(X) )
| ~ cC62(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_101]) ).
fof(f_102_2,plain,
! [U_457] :
( ( cC62(U_457)
| ~ cC60xcomp(U_457)
| ~ cC38(U_457) )
& ( ( cC60xcomp(U_457)
& cC38(U_457) )
| ~ cC62(U_457) ) ),
inference(variable_rename,[status(thm)],[f_102_1]) ).
fof(f_102_3,plain,
( ! [U_459] :
( cC62(U_459)
| ~ cC60xcomp(U_459)
| ~ cC38(U_459) )
& ! [U_458] :
( ( cC60xcomp(U_458)
& cC38(U_458) )
| ~ cC62(U_458) ) ),
inference(miniscope,[status(thm)],[f_102_2]) ).
cnf(f_102_4,plain,
( cC38(U_458)
| ~ cC62(U_458) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_5,plain,
( cC60xcomp(U_458)
| ~ cC62(U_458) ),
inference(clausify,[status(thm)],[f_102_3]) ).
cnf(f_102_6,plain,
( cC62(U_459)
| ~ cC60xcomp(U_459)
| ~ cC38(U_459) ),
inference(clausify,[status(thm)],[f_102_3]) ).
fof(f_103_1,plain,
! [X] :
( ( cC64(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC64(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_102]) ).
fof(f_103_2,plain,
! [U_462] :
( ( cC64(U_462)
| ! [U_461] :
( ~ cC2xcomp(U_461)
| ~ rR1(U_462,U_461) ) )
& ( ? [U_460] :
( cC2xcomp(U_460)
& rR1(U_462,U_460) )
| ~ cC64(U_462) ) ),
inference(variable_rename,[status(thm)],[f_103_1]) ).
fof(f_103_3,plain,
( ! [U_464] :
( cC64(U_464)
| ! [U_461] :
( ~ cC2xcomp(U_461)
| ~ rR1(U_464,U_461) ) )
& ! [U_463] :
( ? [U_460] :
( cC2xcomp(U_460)
& rR1(U_463,U_460) )
| ~ cC64(U_463) ) ),
inference(miniscope,[status(thm)],[f_103_2]) ).
fof(f_103_4,plain,
( ! [U_464] :
( cC64(U_464)
| ! [U_461] :
( ~ cC2xcomp(U_461)
| ~ rR1(U_464,U_461) ) )
& ! [U_463] :
( ( cC2xcomp(sK78(U_463))
& rR1(U_463,sK78(U_463)) )
| ~ cC64(U_463) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78]),skolemize(U_460,sK78(U_463))],[f_103_3]) ).
cnf(f_103_5,plain,
( rR1(U_463,sK78(U_463))
| ~ cC64(U_463) ),
inference(clausify,[status(thm)],[f_103_4]) ).
cnf(f_103_6,plain,
( cC2xcomp(sK78(U_463))
| ~ cC64(U_463) ),
inference(clausify,[status(thm)],[f_103_4]) ).
cnf(f_103_7,plain,
( cC64(U_464)
| ~ cC2xcomp(U_461)
| ~ rR1(U_464,U_461) ),
inference(clausify,[status(thm)],[f_103_4]) ).
fof(f_104_1,plain,
! [X] :
( ( cC66(X)
| ~ cC2(X)
| ~ cC64(X) )
& ( ( cC2(X)
& cC64(X) )
| ~ cC66(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_103]) ).
fof(f_104_2,plain,
! [U_465] :
( ( cC66(U_465)
| ~ cC2(U_465)
| ~ cC64(U_465) )
& ( ( cC2(U_465)
& cC64(U_465) )
| ~ cC66(U_465) ) ),
inference(variable_rename,[status(thm)],[f_104_1]) ).
fof(f_104_3,plain,
( ! [U_467] :
( cC66(U_467)
| ~ cC2(U_467)
| ~ cC64(U_467) )
& ! [U_466] :
( ( cC2(U_466)
& cC64(U_466) )
| ~ cC66(U_466) ) ),
inference(miniscope,[status(thm)],[f_104_2]) ).
cnf(f_104_4,plain,
( cC64(U_466)
| ~ cC66(U_466) ),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_5,plain,
( cC2(U_466)
| ~ cC66(U_466) ),
inference(clausify,[status(thm)],[f_104_3]) ).
cnf(f_104_6,plain,
( cC66(U_467)
| ~ cC2(U_467)
| ~ cC64(U_467) ),
inference(clausify,[status(thm)],[f_104_3]) ).
fof(f_105_1,plain,
! [X] :
( ( cC68(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC68(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_104]) ).
fof(f_105_2,plain,
! [U_470] :
( ( cC68(U_470)
| ! [U_469] :
( ~ cC2xcomp(U_469)
| ~ rR1(U_470,U_469) ) )
& ( ? [U_468] :
( cC2xcomp(U_468)
& rR1(U_470,U_468) )
| ~ cC68(U_470) ) ),
inference(variable_rename,[status(thm)],[f_105_1]) ).
fof(f_105_3,plain,
( ! [U_472] :
( cC68(U_472)
| ! [U_469] :
( ~ cC2xcomp(U_469)
| ~ rR1(U_472,U_469) ) )
& ! [U_471] :
( ? [U_468] :
( cC2xcomp(U_468)
& rR1(U_471,U_468) )
| ~ cC68(U_471) ) ),
inference(miniscope,[status(thm)],[f_105_2]) ).
fof(f_105_4,plain,
( ! [U_472] :
( cC68(U_472)
| ! [U_469] :
( ~ cC2xcomp(U_469)
| ~ rR1(U_472,U_469) ) )
& ! [U_471] :
( ( cC2xcomp(sK79(U_471))
& rR1(U_471,sK79(U_471)) )
| ~ cC68(U_471) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79]),skolemize(U_468,sK79(U_471))],[f_105_3]) ).
cnf(f_105_5,plain,
( rR1(U_471,sK79(U_471))
| ~ cC68(U_471) ),
inference(clausify,[status(thm)],[f_105_4]) ).
cnf(f_105_6,plain,
( cC2xcomp(sK79(U_471))
| ~ cC68(U_471) ),
inference(clausify,[status(thm)],[f_105_4]) ).
cnf(f_105_7,plain,
( cC68(U_472)
| ~ cC2xcomp(U_469)
| ~ rR1(U_472,U_469) ),
inference(clausify,[status(thm)],[f_105_4]) ).
fof(f_106_1,plain,
! [X] :
( ( cC70(X)
| ~ cC68(X)
| ~ cC2(X) )
& ( ( cC68(X)
& cC2(X) )
| ~ cC70(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_105]) ).
fof(f_106_2,plain,
! [U_473] :
( ( cC70(U_473)
| ~ cC68(U_473)
| ~ cC2(U_473) )
& ( ( cC68(U_473)
& cC2(U_473) )
| ~ cC70(U_473) ) ),
inference(variable_rename,[status(thm)],[f_106_1]) ).
fof(f_106_3,plain,
( ! [U_475] :
( cC70(U_475)
| ~ cC68(U_475)
| ~ cC2(U_475) )
& ! [U_474] :
( ( cC68(U_474)
& cC2(U_474) )
| ~ cC70(U_474) ) ),
inference(miniscope,[status(thm)],[f_106_2]) ).
cnf(f_106_4,plain,
( cC2(U_474)
| ~ cC70(U_474) ),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_5,plain,
( cC68(U_474)
| ~ cC70(U_474) ),
inference(clausify,[status(thm)],[f_106_3]) ).
cnf(f_106_6,plain,
( cC70(U_475)
| ~ cC68(U_475)
| ~ cC2(U_475) ),
inference(clausify,[status(thm)],[f_106_3]) ).
fof(f_107_1,plain,
! [X] :
( ( cC72(X)
| ! [Y] :
( ~ cC70(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC70(Y)
& rR1(X,Y) )
| ~ cC72(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_106]) ).
fof(f_107_2,plain,
! [U_478] :
( ( cC72(U_478)
| ! [U_477] :
( ~ cC70(U_477)
| ~ rR1(U_478,U_477) ) )
& ( ? [U_476] :
( cC70(U_476)
& rR1(U_478,U_476) )
| ~ cC72(U_478) ) ),
inference(variable_rename,[status(thm)],[f_107_1]) ).
fof(f_107_3,plain,
( ! [U_480] :
( cC72(U_480)
| ! [U_477] :
( ~ cC70(U_477)
| ~ rR1(U_480,U_477) ) )
& ! [U_479] :
( ? [U_476] :
( cC70(U_476)
& rR1(U_479,U_476) )
| ~ cC72(U_479) ) ),
inference(miniscope,[status(thm)],[f_107_2]) ).
fof(f_107_4,plain,
( ! [U_480] :
( cC72(U_480)
| ! [U_477] :
( ~ cC70(U_477)
| ~ rR1(U_480,U_477) ) )
& ! [U_479] :
( ( cC70(sK80(U_479))
& rR1(U_479,sK80(U_479)) )
| ~ cC72(U_479) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK80]),skolemize(U_476,sK80(U_479))],[f_107_3]) ).
cnf(f_107_5,plain,
( rR1(U_479,sK80(U_479))
| ~ cC72(U_479) ),
inference(clausify,[status(thm)],[f_107_4]) ).
cnf(f_107_6,plain,
( cC70(sK80(U_479))
| ~ cC72(U_479) ),
inference(clausify,[status(thm)],[f_107_4]) ).
cnf(f_107_7,plain,
( cC72(U_480)
| ~ cC70(U_477)
| ~ rR1(U_480,U_477) ),
inference(clausify,[status(thm)],[f_107_4]) ).
fof(f_108_1,plain,
! [X] :
( ( cC74(X)
| ~ cC72(X)
| ~ cC66(X) )
& ( ( cC72(X)
& cC66(X) )
| ~ cC74(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_107]) ).
fof(f_108_2,plain,
! [U_481] :
( ( cC74(U_481)
| ~ cC72(U_481)
| ~ cC66(U_481) )
& ( ( cC72(U_481)
& cC66(U_481) )
| ~ cC74(U_481) ) ),
inference(variable_rename,[status(thm)],[f_108_1]) ).
fof(f_108_3,plain,
( ! [U_483] :
( cC74(U_483)
| ~ cC72(U_483)
| ~ cC66(U_483) )
& ! [U_482] :
( ( cC72(U_482)
& cC66(U_482) )
| ~ cC74(U_482) ) ),
inference(miniscope,[status(thm)],[f_108_2]) ).
cnf(f_108_4,plain,
( cC66(U_482)
| ~ cC74(U_482) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_5,plain,
( cC72(U_482)
| ~ cC74(U_482) ),
inference(clausify,[status(thm)],[f_108_3]) ).
cnf(f_108_6,plain,
( cC74(U_483)
| ~ cC72(U_483)
| ~ cC66(U_483) ),
inference(clausify,[status(thm)],[f_108_3]) ).
fof(f_109_1,plain,
! [X] :
( ( cC76(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC76(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_108]) ).
fof(f_109_2,plain,
! [U_486] :
( ( cC76(U_486)
| ! [U_485] :
( ~ cC2xcomp(U_485)
| ~ rR1(U_486,U_485) ) )
& ( ? [U_484] :
( cC2xcomp(U_484)
& rR1(U_486,U_484) )
| ~ cC76(U_486) ) ),
inference(variable_rename,[status(thm)],[f_109_1]) ).
fof(f_109_3,plain,
( ! [U_488] :
( cC76(U_488)
| ! [U_485] :
( ~ cC2xcomp(U_485)
| ~ rR1(U_488,U_485) ) )
& ! [U_487] :
( ? [U_484] :
( cC2xcomp(U_484)
& rR1(U_487,U_484) )
| ~ cC76(U_487) ) ),
inference(miniscope,[status(thm)],[f_109_2]) ).
fof(f_109_4,plain,
( ! [U_488] :
( cC76(U_488)
| ! [U_485] :
( ~ cC2xcomp(U_485)
| ~ rR1(U_488,U_485) ) )
& ! [U_487] :
( ( cC2xcomp(sK81(U_487))
& rR1(U_487,sK81(U_487)) )
| ~ cC76(U_487) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK81]),skolemize(U_484,sK81(U_487))],[f_109_3]) ).
cnf(f_109_5,plain,
( rR1(U_487,sK81(U_487))
| ~ cC76(U_487) ),
inference(clausify,[status(thm)],[f_109_4]) ).
cnf(f_109_6,plain,
( cC2xcomp(sK81(U_487))
| ~ cC76(U_487) ),
inference(clausify,[status(thm)],[f_109_4]) ).
cnf(f_109_7,plain,
( cC76(U_488)
| ~ cC2xcomp(U_485)
| ~ rR1(U_488,U_485) ),
inference(clausify,[status(thm)],[f_109_4]) ).
fof(f_110_1,plain,
! [X] :
( ( cC78(X)
| ~ cC76(X)
| ~ cC2(X) )
& ( ( cC76(X)
& cC2(X) )
| ~ cC78(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_109]) ).
fof(f_110_2,plain,
! [U_489] :
( ( cC78(U_489)
| ~ cC76(U_489)
| ~ cC2(U_489) )
& ( ( cC76(U_489)
& cC2(U_489) )
| ~ cC78(U_489) ) ),
inference(variable_rename,[status(thm)],[f_110_1]) ).
fof(f_110_3,plain,
( ! [U_491] :
( cC78(U_491)
| ~ cC76(U_491)
| ~ cC2(U_491) )
& ! [U_490] :
( ( cC76(U_490)
& cC2(U_490) )
| ~ cC78(U_490) ) ),
inference(miniscope,[status(thm)],[f_110_2]) ).
cnf(f_110_4,plain,
( cC2(U_490)
| ~ cC78(U_490) ),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_110_5,plain,
( cC76(U_490)
| ~ cC78(U_490) ),
inference(clausify,[status(thm)],[f_110_3]) ).
cnf(f_110_6,plain,
( cC78(U_491)
| ~ cC76(U_491)
| ~ cC2(U_491) ),
inference(clausify,[status(thm)],[f_110_3]) ).
fof(f_111_1,plain,
! [X] :
( ( cC8(X)
| ! [Y] :
( ~ cC6(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC6(Y)
& rR1(X,Y) )
| ~ cC8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_110]) ).
fof(f_111_2,plain,
! [U_494] :
( ( cC8(U_494)
| ! [U_493] :
( ~ cC6(U_493)
| ~ rR1(U_494,U_493) ) )
& ( ? [U_492] :
( cC6(U_492)
& rR1(U_494,U_492) )
| ~ cC8(U_494) ) ),
inference(variable_rename,[status(thm)],[f_111_1]) ).
fof(f_111_3,plain,
( ! [U_496] :
( cC8(U_496)
| ! [U_493] :
( ~ cC6(U_493)
| ~ rR1(U_496,U_493) ) )
& ! [U_495] :
( ? [U_492] :
( cC6(U_492)
& rR1(U_495,U_492) )
| ~ cC8(U_495) ) ),
inference(miniscope,[status(thm)],[f_111_2]) ).
fof(f_111_4,plain,
( ! [U_496] :
( cC8(U_496)
| ! [U_493] :
( ~ cC6(U_493)
| ~ rR1(U_496,U_493) ) )
& ! [U_495] :
( ( cC6(sK82(U_495))
& rR1(U_495,sK82(U_495)) )
| ~ cC8(U_495) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK82]),skolemize(U_492,sK82(U_495))],[f_111_3]) ).
cnf(f_111_5,plain,
( rR1(U_495,sK82(U_495))
| ~ cC8(U_495) ),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_6,plain,
( cC6(sK82(U_495))
| ~ cC8(U_495) ),
inference(clausify,[status(thm)],[f_111_4]) ).
cnf(f_111_7,plain,
( cC8(U_496)
| ~ cC6(U_493)
| ~ rR1(U_496,U_493) ),
inference(clausify,[status(thm)],[f_111_4]) ).
fof(f_112_1,plain,
! [X] :
( ( cC8(X)
| ! [Y0] : ~ ra_Px2(X,Y0) )
& ( ? [Y0] : ra_Px2(X,Y0)
| ~ cC8(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_111]) ).
fof(f_112_2,plain,
! [U_499] :
( ( cC8(U_499)
| ! [U_498] : ~ ra_Px2(U_499,U_498) )
& ( ? [U_497] : ra_Px2(U_499,U_497)
| ~ cC8(U_499) ) ),
inference(variable_rename,[status(thm)],[f_112_1]) ).
fof(f_112_3,plain,
( ! [U_501] :
( cC8(U_501)
| ! [U_498] : ~ ra_Px2(U_501,U_498) )
& ! [U_500] :
( ? [U_497] : ra_Px2(U_500,U_497)
| ~ cC8(U_500) ) ),
inference(miniscope,[status(thm)],[f_112_2]) ).
fof(f_112_4,plain,
( ! [U_501] :
( cC8(U_501)
| ! [U_498] : ~ ra_Px2(U_501,U_498) )
& ! [U_500] :
( ra_Px2(U_500,sK83(U_500))
| ~ cC8(U_500) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83]),skolemize(U_497,sK83(U_500))],[f_112_3]) ).
cnf(f_112_5,plain,
( ra_Px2(U_500,sK83(U_500))
| ~ cC8(U_500) ),
inference(clausify,[status(thm)],[f_112_4]) ).
cnf(f_112_6,plain,
( cC8(U_501)
| ~ ra_Px2(U_501,U_498) ),
inference(clausify,[status(thm)],[f_112_4]) ).
fof(f_113_1,plain,
! [X] :
( ( cC8xcomp(X)
| ? [Y] : ra_Px2(X,Y) )
& ( ! [Y] : ~ ra_Px2(X,Y)
| ~ cC8xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_112]) ).
fof(f_113_2,plain,
! [U_504] :
( ( cC8xcomp(U_504)
| ? [U_503] : ra_Px2(U_504,U_503) )
& ( ! [U_502] : ~ ra_Px2(U_504,U_502)
| ~ cC8xcomp(U_504) ) ),
inference(variable_rename,[status(thm)],[f_113_1]) ).
fof(f_113_3,plain,
( ! [U_506] :
( cC8xcomp(U_506)
| ? [U_503] : ra_Px2(U_506,U_503) )
& ! [U_505] :
( ! [U_502] : ~ ra_Px2(U_505,U_502)
| ~ cC8xcomp(U_505) ) ),
inference(miniscope,[status(thm)],[f_113_2]) ).
fof(f_113_4,plain,
( ! [U_506] :
( cC8xcomp(U_506)
| ra_Px2(U_506,sK84(U_506)) )
& ! [U_505] :
( ! [U_502] : ~ ra_Px2(U_505,U_502)
| ~ cC8xcomp(U_505) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK84]),skolemize(U_503,sK84(U_506))],[f_113_3]) ).
cnf(f_113_5,plain,
( ~ ra_Px2(U_505,U_502)
| ~ cC8xcomp(U_505) ),
inference(clausify,[status(thm)],[f_113_4]) ).
cnf(f_113_6,plain,
( cC8xcomp(U_506)
| ra_Px2(U_506,sK84(U_506)) ),
inference(clausify,[status(thm)],[f_113_4]) ).
fof(f_114_1,plain,
! [X] :
( ( cC80(X)
| ! [Y0] : ~ ra_Px24(X,Y0) )
& ( ? [Y0] : ra_Px24(X,Y0)
| ~ cC80(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_113]) ).
fof(f_114_2,plain,
! [U_509] :
( ( cC80(U_509)
| ! [U_508] : ~ ra_Px24(U_509,U_508) )
& ( ? [U_507] : ra_Px24(U_509,U_507)
| ~ cC80(U_509) ) ),
inference(variable_rename,[status(thm)],[f_114_1]) ).
fof(f_114_3,plain,
( ! [U_511] :
( cC80(U_511)
| ! [U_508] : ~ ra_Px24(U_511,U_508) )
& ! [U_510] :
( ? [U_507] : ra_Px24(U_510,U_507)
| ~ cC80(U_510) ) ),
inference(miniscope,[status(thm)],[f_114_2]) ).
fof(f_114_4,plain,
( ! [U_511] :
( cC80(U_511)
| ! [U_508] : ~ ra_Px24(U_511,U_508) )
& ! [U_510] :
( ra_Px24(U_510,sK85(U_510))
| ~ cC80(U_510) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK85]),skolemize(U_507,sK85(U_510))],[f_114_3]) ).
cnf(f_114_5,plain,
( ra_Px24(U_510,sK85(U_510))
| ~ cC80(U_510) ),
inference(clausify,[status(thm)],[f_114_4]) ).
cnf(f_114_6,plain,
( cC80(U_511)
| ~ ra_Px24(U_511,U_508) ),
inference(clausify,[status(thm)],[f_114_4]) ).
fof(f_115_1,plain,
! [X] :
( ( cC80(X)
| ! [Y] :
( ~ cC78(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC78(Y)
& rR1(X,Y) )
| ~ cC80(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_114]) ).
fof(f_115_2,plain,
! [U_514] :
( ( cC80(U_514)
| ! [U_513] :
( ~ cC78(U_513)
| ~ rR1(U_514,U_513) ) )
& ( ? [U_512] :
( cC78(U_512)
& rR1(U_514,U_512) )
| ~ cC80(U_514) ) ),
inference(variable_rename,[status(thm)],[f_115_1]) ).
fof(f_115_3,plain,
( ! [U_516] :
( cC80(U_516)
| ! [U_513] :
( ~ cC78(U_513)
| ~ rR1(U_516,U_513) ) )
& ! [U_515] :
( ? [U_512] :
( cC78(U_512)
& rR1(U_515,U_512) )
| ~ cC80(U_515) ) ),
inference(miniscope,[status(thm)],[f_115_2]) ).
fof(f_115_4,plain,
( ! [U_516] :
( cC80(U_516)
| ! [U_513] :
( ~ cC78(U_513)
| ~ rR1(U_516,U_513) ) )
& ! [U_515] :
( ( cC78(sK86(U_515))
& rR1(U_515,sK86(U_515)) )
| ~ cC80(U_515) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK86]),skolemize(U_512,sK86(U_515))],[f_115_3]) ).
cnf(f_115_5,plain,
( rR1(U_515,sK86(U_515))
| ~ cC80(U_515) ),
inference(clausify,[status(thm)],[f_115_4]) ).
cnf(f_115_6,plain,
( cC78(sK86(U_515))
| ~ cC80(U_515) ),
inference(clausify,[status(thm)],[f_115_4]) ).
cnf(f_115_7,plain,
( cC80(U_516)
| ~ cC78(U_513)
| ~ rR1(U_516,U_513) ),
inference(clausify,[status(thm)],[f_115_4]) ).
fof(f_116_1,plain,
! [X] :
( ( cC80xcomp(X)
| ? [Y] : ra_Px24(X,Y) )
& ( ! [Y] : ~ ra_Px24(X,Y)
| ~ cC80xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_115]) ).
fof(f_116_2,plain,
! [U_519] :
( ( cC80xcomp(U_519)
| ? [U_518] : ra_Px24(U_519,U_518) )
& ( ! [U_517] : ~ ra_Px24(U_519,U_517)
| ~ cC80xcomp(U_519) ) ),
inference(variable_rename,[status(thm)],[f_116_1]) ).
fof(f_116_3,plain,
( ! [U_521] :
( cC80xcomp(U_521)
| ? [U_518] : ra_Px24(U_521,U_518) )
& ! [U_520] :
( ! [U_517] : ~ ra_Px24(U_520,U_517)
| ~ cC80xcomp(U_520) ) ),
inference(miniscope,[status(thm)],[f_116_2]) ).
fof(f_116_4,plain,
( ! [U_521] :
( cC80xcomp(U_521)
| ra_Px24(U_521,sK87(U_521)) )
& ! [U_520] :
( ! [U_517] : ~ ra_Px24(U_520,U_517)
| ~ cC80xcomp(U_520) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK87]),skolemize(U_518,sK87(U_521))],[f_116_3]) ).
cnf(f_116_5,plain,
( ~ ra_Px24(U_520,U_517)
| ~ cC80xcomp(U_520) ),
inference(clausify,[status(thm)],[f_116_4]) ).
cnf(f_116_6,plain,
( cC80xcomp(U_521)
| ra_Px24(U_521,sK87(U_521)) ),
inference(clausify,[status(thm)],[f_116_4]) ).
fof(f_117_1,plain,
! [X] :
( ( cC82(X)
| ! [Y] :
( ~ cC80xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC80xcomp(Y)
& rR1(X,Y) )
| ~ cC82(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_116]) ).
fof(f_117_2,plain,
! [U_524] :
( ( cC82(U_524)
| ! [U_523] :
( ~ cC80xcomp(U_523)
| ~ rR1(U_524,U_523) ) )
& ( ? [U_522] :
( cC80xcomp(U_522)
& rR1(U_524,U_522) )
| ~ cC82(U_524) ) ),
inference(variable_rename,[status(thm)],[f_117_1]) ).
fof(f_117_3,plain,
( ! [U_526] :
( cC82(U_526)
| ! [U_523] :
( ~ cC80xcomp(U_523)
| ~ rR1(U_526,U_523) ) )
& ! [U_525] :
( ? [U_522] :
( cC80xcomp(U_522)
& rR1(U_525,U_522) )
| ~ cC82(U_525) ) ),
inference(miniscope,[status(thm)],[f_117_2]) ).
fof(f_117_4,plain,
( ! [U_526] :
( cC82(U_526)
| ! [U_523] :
( ~ cC80xcomp(U_523)
| ~ rR1(U_526,U_523) ) )
& ! [U_525] :
( ( cC80xcomp(sK88(U_525))
& rR1(U_525,sK88(U_525)) )
| ~ cC82(U_525) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK88]),skolemize(U_522,sK88(U_525))],[f_117_3]) ).
cnf(f_117_5,plain,
( rR1(U_525,sK88(U_525))
| ~ cC82(U_525) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_6,plain,
( cC80xcomp(sK88(U_525))
| ~ cC82(U_525) ),
inference(clausify,[status(thm)],[f_117_4]) ).
cnf(f_117_7,plain,
( cC82(U_526)
| ~ cC80xcomp(U_523)
| ~ rR1(U_526,U_523) ),
inference(clausify,[status(thm)],[f_117_4]) ).
fof(f_118_1,plain,
! [X] :
( ( cC84(X)
| ~ cC74(X)
| ~ cC82(X) )
& ( ( cC74(X)
& cC82(X) )
| ~ cC84(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_117]) ).
fof(f_118_2,plain,
! [U_527] :
( ( cC84(U_527)
| ~ cC74(U_527)
| ~ cC82(U_527) )
& ( ( cC74(U_527)
& cC82(U_527) )
| ~ cC84(U_527) ) ),
inference(variable_rename,[status(thm)],[f_118_1]) ).
fof(f_118_3,plain,
( ! [U_529] :
( cC84(U_529)
| ~ cC74(U_529)
| ~ cC82(U_529) )
& ! [U_528] :
( ( cC74(U_528)
& cC82(U_528) )
| ~ cC84(U_528) ) ),
inference(miniscope,[status(thm)],[f_118_2]) ).
cnf(f_118_4,plain,
( cC82(U_528)
| ~ cC84(U_528) ),
inference(clausify,[status(thm)],[f_118_3]) ).
cnf(f_118_5,plain,
( cC74(U_528)
| ~ cC84(U_528) ),
inference(clausify,[status(thm)],[f_118_3]) ).
cnf(f_118_6,plain,
( cC84(U_529)
| ~ cC74(U_529)
| ~ cC82(U_529) ),
inference(clausify,[status(thm)],[f_118_3]) ).
fof(f_119_1,plain,
! [X] :
( ( cC86(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC86(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_118]) ).
fof(f_119_2,plain,
! [U_532] :
( ( cC86(U_532)
| ! [U_531] :
( ~ cC2xcomp(U_531)
| ~ rR1(U_532,U_531) ) )
& ( ? [U_530] :
( cC2xcomp(U_530)
& rR1(U_532,U_530) )
| ~ cC86(U_532) ) ),
inference(variable_rename,[status(thm)],[f_119_1]) ).
fof(f_119_3,plain,
( ! [U_534] :
( cC86(U_534)
| ! [U_531] :
( ~ cC2xcomp(U_531)
| ~ rR1(U_534,U_531) ) )
& ! [U_533] :
( ? [U_530] :
( cC2xcomp(U_530)
& rR1(U_533,U_530) )
| ~ cC86(U_533) ) ),
inference(miniscope,[status(thm)],[f_119_2]) ).
fof(f_119_4,plain,
( ! [U_534] :
( cC86(U_534)
| ! [U_531] :
( ~ cC2xcomp(U_531)
| ~ rR1(U_534,U_531) ) )
& ! [U_533] :
( ( cC2xcomp(sK89(U_533))
& rR1(U_533,sK89(U_533)) )
| ~ cC86(U_533) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK89]),skolemize(U_530,sK89(U_533))],[f_119_3]) ).
cnf(f_119_5,plain,
( rR1(U_533,sK89(U_533))
| ~ cC86(U_533) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_6,plain,
( cC2xcomp(sK89(U_533))
| ~ cC86(U_533) ),
inference(clausify,[status(thm)],[f_119_4]) ).
cnf(f_119_7,plain,
( cC86(U_534)
| ~ cC2xcomp(U_531)
| ~ rR1(U_534,U_531) ),
inference(clausify,[status(thm)],[f_119_4]) ).
fof(f_120_1,plain,
! [X] :
( ( cC88(X)
| ~ cC2(X)
| ~ cC86(X) )
& ( ( cC2(X)
& cC86(X) )
| ~ cC88(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_119]) ).
fof(f_120_2,plain,
! [U_535] :
( ( cC88(U_535)
| ~ cC2(U_535)
| ~ cC86(U_535) )
& ( ( cC2(U_535)
& cC86(U_535) )
| ~ cC88(U_535) ) ),
inference(variable_rename,[status(thm)],[f_120_1]) ).
fof(f_120_3,plain,
( ! [U_537] :
( cC88(U_537)
| ~ cC2(U_537)
| ~ cC86(U_537) )
& ! [U_536] :
( ( cC2(U_536)
& cC86(U_536) )
| ~ cC88(U_536) ) ),
inference(miniscope,[status(thm)],[f_120_2]) ).
cnf(f_120_4,plain,
( cC86(U_536)
| ~ cC88(U_536) ),
inference(clausify,[status(thm)],[f_120_3]) ).
cnf(f_120_5,plain,
( cC2(U_536)
| ~ cC88(U_536) ),
inference(clausify,[status(thm)],[f_120_3]) ).
cnf(f_120_6,plain,
( cC88(U_537)
| ~ cC2(U_537)
| ~ cC86(U_537) ),
inference(clausify,[status(thm)],[f_120_3]) ).
fof(f_121_1,plain,
! [X] :
( ( cC90(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC90(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_120]) ).
fof(f_121_2,plain,
! [U_540] :
( ( cC90(U_540)
| ! [U_539] :
( ~ cC2xcomp(U_539)
| ~ rR1(U_540,U_539) ) )
& ( ? [U_538] :
( cC2xcomp(U_538)
& rR1(U_540,U_538) )
| ~ cC90(U_540) ) ),
inference(variable_rename,[status(thm)],[f_121_1]) ).
fof(f_121_3,plain,
( ! [U_542] :
( cC90(U_542)
| ! [U_539] :
( ~ cC2xcomp(U_539)
| ~ rR1(U_542,U_539) ) )
& ! [U_541] :
( ? [U_538] :
( cC2xcomp(U_538)
& rR1(U_541,U_538) )
| ~ cC90(U_541) ) ),
inference(miniscope,[status(thm)],[f_121_2]) ).
fof(f_121_4,plain,
( ! [U_542] :
( cC90(U_542)
| ! [U_539] :
( ~ cC2xcomp(U_539)
| ~ rR1(U_542,U_539) ) )
& ! [U_541] :
( ( cC2xcomp(sK90(U_541))
& rR1(U_541,sK90(U_541)) )
| ~ cC90(U_541) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK90]),skolemize(U_538,sK90(U_541))],[f_121_3]) ).
cnf(f_121_5,plain,
( rR1(U_541,sK90(U_541))
| ~ cC90(U_541) ),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_6,plain,
( cC2xcomp(sK90(U_541))
| ~ cC90(U_541) ),
inference(clausify,[status(thm)],[f_121_4]) ).
cnf(f_121_7,plain,
( cC90(U_542)
| ~ cC2xcomp(U_539)
| ~ rR1(U_542,U_539) ),
inference(clausify,[status(thm)],[f_121_4]) ).
fof(f_122_1,plain,
! [X] :
( ( cC92(X)
| ~ cC90(X)
| ~ cC2(X) )
& ( ( cC90(X)
& cC2(X) )
| ~ cC92(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_121]) ).
fof(f_122_2,plain,
! [U_543] :
( ( cC92(U_543)
| ~ cC90(U_543)
| ~ cC2(U_543) )
& ( ( cC90(U_543)
& cC2(U_543) )
| ~ cC92(U_543) ) ),
inference(variable_rename,[status(thm)],[f_122_1]) ).
fof(f_122_3,plain,
( ! [U_545] :
( cC92(U_545)
| ~ cC90(U_545)
| ~ cC2(U_545) )
& ! [U_544] :
( ( cC90(U_544)
& cC2(U_544) )
| ~ cC92(U_544) ) ),
inference(miniscope,[status(thm)],[f_122_2]) ).
cnf(f_122_4,plain,
( cC2(U_544)
| ~ cC92(U_544) ),
inference(clausify,[status(thm)],[f_122_3]) ).
cnf(f_122_5,plain,
( cC90(U_544)
| ~ cC92(U_544) ),
inference(clausify,[status(thm)],[f_122_3]) ).
cnf(f_122_6,plain,
( cC92(U_545)
| ~ cC90(U_545)
| ~ cC2(U_545) ),
inference(clausify,[status(thm)],[f_122_3]) ).
fof(f_123_1,plain,
! [X] :
( ( cC94(X)
| ! [Y] :
( ~ cC92(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC92(Y)
& rR1(X,Y) )
| ~ cC94(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_122]) ).
fof(f_123_2,plain,
! [U_548] :
( ( cC94(U_548)
| ! [U_547] :
( ~ cC92(U_547)
| ~ rR1(U_548,U_547) ) )
& ( ? [U_546] :
( cC92(U_546)
& rR1(U_548,U_546) )
| ~ cC94(U_548) ) ),
inference(variable_rename,[status(thm)],[f_123_1]) ).
fof(f_123_3,plain,
( ! [U_550] :
( cC94(U_550)
| ! [U_547] :
( ~ cC92(U_547)
| ~ rR1(U_550,U_547) ) )
& ! [U_549] :
( ? [U_546] :
( cC92(U_546)
& rR1(U_549,U_546) )
| ~ cC94(U_549) ) ),
inference(miniscope,[status(thm)],[f_123_2]) ).
fof(f_123_4,plain,
( ! [U_550] :
( cC94(U_550)
| ! [U_547] :
( ~ cC92(U_547)
| ~ rR1(U_550,U_547) ) )
& ! [U_549] :
( ( cC92(sK91(U_549))
& rR1(U_549,sK91(U_549)) )
| ~ cC94(U_549) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK91]),skolemize(U_546,sK91(U_549))],[f_123_3]) ).
cnf(f_123_5,plain,
( rR1(U_549,sK91(U_549))
| ~ cC94(U_549) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_6,plain,
( cC92(sK91(U_549))
| ~ cC94(U_549) ),
inference(clausify,[status(thm)],[f_123_4]) ).
cnf(f_123_7,plain,
( cC94(U_550)
| ~ cC92(U_547)
| ~ rR1(U_550,U_547) ),
inference(clausify,[status(thm)],[f_123_4]) ).
fof(f_124_1,plain,
! [X] :
( ( cC96(X)
| ! [Y] :
( ~ cC2xcomp(Y)
| ~ rR1(X,Y) ) )
& ( ? [Y] :
( cC2xcomp(Y)
& rR1(X,Y) )
| ~ cC96(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_123]) ).
fof(f_124_2,plain,
! [U_553] :
( ( cC96(U_553)
| ! [U_552] :
( ~ cC2xcomp(U_552)
| ~ rR1(U_553,U_552) ) )
& ( ? [U_551] :
( cC2xcomp(U_551)
& rR1(U_553,U_551) )
| ~ cC96(U_553) ) ),
inference(variable_rename,[status(thm)],[f_124_1]) ).
fof(f_124_3,plain,
( ! [U_555] :
( cC96(U_555)
| ! [U_552] :
( ~ cC2xcomp(U_552)
| ~ rR1(U_555,U_552) ) )
& ! [U_554] :
( ? [U_551] :
( cC2xcomp(U_551)
& rR1(U_554,U_551) )
| ~ cC96(U_554) ) ),
inference(miniscope,[status(thm)],[f_124_2]) ).
fof(f_124_4,plain,
( ! [U_555] :
( cC96(U_555)
| ! [U_552] :
( ~ cC2xcomp(U_552)
| ~ rR1(U_555,U_552) ) )
& ! [U_554] :
( ( cC2xcomp(sK92(U_554))
& rR1(U_554,sK92(U_554)) )
| ~ cC96(U_554) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK92]),skolemize(U_551,sK92(U_554))],[f_124_3]) ).
cnf(f_124_5,plain,
( rR1(U_554,sK92(U_554))
| ~ cC96(U_554) ),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_6,plain,
( cC2xcomp(sK92(U_554))
| ~ cC96(U_554) ),
inference(clausify,[status(thm)],[f_124_4]) ).
cnf(f_124_7,plain,
( cC96(U_555)
| ~ cC2xcomp(U_552)
| ~ rR1(U_555,U_552) ),
inference(clausify,[status(thm)],[f_124_4]) ).
fof(f_125_1,plain,
! [X] :
( ( cC98(X)
| ~ cC96(X)
| ~ cC2(X) )
& ( ( cC96(X)
& cC2(X) )
| ~ cC98(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_124]) ).
fof(f_125_2,plain,
! [U_556] :
( ( cC98(U_556)
| ~ cC96(U_556)
| ~ cC2(U_556) )
& ( ( cC96(U_556)
& cC2(U_556) )
| ~ cC98(U_556) ) ),
inference(variable_rename,[status(thm)],[f_125_1]) ).
fof(f_125_3,plain,
( ! [U_558] :
( cC98(U_558)
| ~ cC96(U_558)
| ~ cC2(U_558) )
& ! [U_557] :
( ( cC96(U_557)
& cC2(U_557) )
| ~ cC98(U_557) ) ),
inference(miniscope,[status(thm)],[f_125_2]) ).
cnf(f_125_4,plain,
( cC2(U_557)
| ~ cC98(U_557) ),
inference(clausify,[status(thm)],[f_125_3]) ).
cnf(f_125_5,plain,
( cC96(U_557)
| ~ cC98(U_557) ),
inference(clausify,[status(thm)],[f_125_3]) ).
cnf(f_125_6,plain,
( cC98(U_558)
| ~ cC96(U_558)
| ~ cC2(U_558) ),
inference(clausify,[status(thm)],[f_125_3]) ).
fof(f_126_1,plain,
! [X] :
( ( cC98(X)
| ! [Y0] : ~ ra_Px29(X,Y0) )
& ( ? [Y0] : ra_Px29(X,Y0)
| ~ cC98(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_125]) ).
fof(f_126_2,plain,
! [U_561] :
( ( cC98(U_561)
| ! [U_560] : ~ ra_Px29(U_561,U_560) )
& ( ? [U_559] : ra_Px29(U_561,U_559)
| ~ cC98(U_561) ) ),
inference(variable_rename,[status(thm)],[f_126_1]) ).
fof(f_126_3,plain,
( ! [U_563] :
( cC98(U_563)
| ! [U_560] : ~ ra_Px29(U_563,U_560) )
& ! [U_562] :
( ? [U_559] : ra_Px29(U_562,U_559)
| ~ cC98(U_562) ) ),
inference(miniscope,[status(thm)],[f_126_2]) ).
fof(f_126_4,plain,
( ! [U_563] :
( cC98(U_563)
| ! [U_560] : ~ ra_Px29(U_563,U_560) )
& ! [U_562] :
( ra_Px29(U_562,sK93(U_562))
| ~ cC98(U_562) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93]),skolemize(U_559,sK93(U_562))],[f_126_3]) ).
cnf(f_126_5,plain,
( ra_Px29(U_562,sK93(U_562))
| ~ cC98(U_562) ),
inference(clausify,[status(thm)],[f_126_4]) ).
cnf(f_126_6,plain,
( cC98(U_563)
| ~ ra_Px29(U_563,U_560) ),
inference(clausify,[status(thm)],[f_126_4]) ).
fof(f_127_1,plain,
! [X] :
( ( cC98xcomp(X)
| ? [Y] : ra_Px29(X,Y) )
& ( ! [Y] : ~ ra_Px29(X,Y)
| ~ cC98xcomp(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_126]) ).
fof(f_127_2,plain,
! [U_566] :
( ( cC98xcomp(U_566)
| ? [U_565] : ra_Px29(U_566,U_565) )
& ( ! [U_564] : ~ ra_Px29(U_566,U_564)
| ~ cC98xcomp(U_566) ) ),
inference(variable_rename,[status(thm)],[f_127_1]) ).
fof(f_127_3,plain,
( ! [U_568] :
( cC98xcomp(U_568)
| ? [U_565] : ra_Px29(U_568,U_565) )
& ! [U_567] :
( ! [U_564] : ~ ra_Px29(U_567,U_564)
| ~ cC98xcomp(U_567) ) ),
inference(miniscope,[status(thm)],[f_127_2]) ).
fof(f_127_4,plain,
( ! [U_568] :
( cC98xcomp(U_568)
| ra_Px29(U_568,sK94(U_568)) )
& ! [U_567] :
( ! [U_564] : ~ ra_Px29(U_567,U_564)
| ~ cC98xcomp(U_567) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK94]),skolemize(U_565,sK94(U_568))],[f_127_3]) ).
cnf(f_127_5,plain,
( ~ ra_Px29(U_567,U_564)
| ~ cC98xcomp(U_567) ),
inference(clausify,[status(thm)],[f_127_4]) ).
cnf(f_127_6,plain,
( cC98xcomp(U_568)
| ra_Px29(U_568,sK94(U_568)) ),
inference(clausify,[status(thm)],[f_127_4]) ).
fof(f_128_1,plain,
! [X] :
( ( cTEST(X)
| ~ cC116(X)
| ~ cC140(X) )
& ( ( cC116(X)
& cC140(X) )
| ~ cTEST(X) ) ),
inference(fof_nnf,[status(thm)],[axiom_127]) ).
fof(f_128_2,plain,
! [U_569] :
( ( cTEST(U_569)
| ~ cC116(U_569)
| ~ cC140(U_569) )
& ( ( cC116(U_569)
& cC140(U_569) )
| ~ cTEST(U_569) ) ),
inference(variable_rename,[status(thm)],[f_128_1]) ).
fof(f_128_3,plain,
( ! [U_571] :
( cTEST(U_571)
| ~ cC116(U_571)
| ~ cC140(U_571) )
& ! [U_570] :
( ( cC116(U_570)
& cC140(U_570) )
| ~ cTEST(U_570) ) ),
inference(miniscope,[status(thm)],[f_128_2]) ).
cnf(f_128_4,plain,
( cC140(U_570)
| ~ cTEST(U_570) ),
inference(clausify,[status(thm)],[f_128_3]) ).
cnf(f_128_5,plain,
( cC116(U_570)
| ~ cTEST(U_570) ),
inference(clausify,[status(thm)],[f_128_3]) ).
cnf(f_128_6,plain,
( cTEST(U_571)
| ~ cC116(U_571)
| ~ cC140(U_571) ),
inference(clausify,[status(thm)],[f_128_3]) ).
fof(f_129_1,plain,
cTOP(iV5475),
inference(fof_nnf,[status(thm)],[axiom_128]) ).
cnf(f_129_2,plain,
cTOP(iV5475),
inference(clausify,[status(thm)],[f_129_1]) ).
fof(f_130_1,plain,
cowlThing(iV5475),
inference(fof_nnf,[status(thm)],[axiom_129]) ).
cnf(f_130_2,plain,
cowlThing(iV5475),
inference(clausify,[status(thm)],[f_130_1]) ).
fof(f_131_1,plain,
cC114xcomp(iV5475),
inference(fof_nnf,[status(thm)],[axiom_130]) ).
cnf(f_131_2,plain,
cC114xcomp(iV5475),
inference(clausify,[status(thm)],[f_131_1]) ).
fof(f_132_1,plain,
cTEST(iV5475),
inference(fof_nnf,[status(thm)],[axiom_131]) ).
cnf(f_132_2,plain,
cTEST(iV5475),
inference(clausify,[status(thm)],[f_132_1]) ).
fof(f_133_1,plain,
! [X] :
( cC112xcomp(X)
| ~ rR1(iV5475,X) ),
inference(fof_nnf,[status(thm)],[axiom_132]) ).
fof(f_133_2,plain,
! [U_572] :
( cC112xcomp(U_572)
| ~ rR1(iV5475,U_572) ),
inference(variable_rename,[status(thm)],[f_133_1]) ).
cnf(f_133_3,plain,
( cC112xcomp(U_572)
| ~ rR1(iV5475,U_572) ),
inference(clausify,[status(thm)],[f_133_2]) ).
fof(f_134_1,plain,
rR1(iV5475,iV5476),
inference(fof_nnf,[status(thm)],[axiom_133]) ).
cnf(f_134_2,plain,
rR1(iV5475,iV5476),
inference(clausify,[status(thm)],[f_134_1]) ).
fof(f_135_1,plain,
cowlThing(iV5476),
inference(fof_nnf,[status(thm)],[axiom_134]) ).
cnf(f_135_2,plain,
cowlThing(iV5476),
inference(clausify,[status(thm)],[f_135_1]) ).
fof(f_136_1,plain,
cC12xcomp(iV5478),
inference(fof_nnf,[status(thm)],[axiom_135]) ).
cnf(f_136_2,plain,
cC12xcomp(iV5478),
inference(clausify,[status(thm)],[f_136_1]) ).
fof(f_137_1,plain,
cC30xcomp(iV5478),
inference(fof_nnf,[status(thm)],[axiom_136]) ).
cnf(f_137_2,plain,
cC30xcomp(iV5478),
inference(clausify,[status(thm)],[f_137_1]) ).
fof(f_138_1,plain,
cC2(iV5478),
inference(fof_nnf,[status(thm)],[axiom_137]) ).
cnf(f_138_2,plain,
cC2(iV5478),
inference(clausify,[status(thm)],[f_138_1]) ).
fof(f_139_1,plain,
cowlThing(iV5478),
inference(fof_nnf,[status(thm)],[axiom_138]) ).
cnf(f_139_2,plain,
cowlThing(iV5478),
inference(clausify,[status(thm)],[f_139_1]) ).
fof(f_140_1,plain,
cC118xcomp(iV5478),
inference(fof_nnf,[status(thm)],[axiom_139]) ).
cnf(f_140_2,plain,
cC118xcomp(iV5478),
inference(clausify,[status(thm)],[f_140_1]) ).
fof(f_141_1,plain,
! [X] :
( cC2(X)
| ~ rR1(iV5478,X) ),
inference(fof_nnf,[status(thm)],[axiom_140]) ).
fof(f_141_2,plain,
! [U_573] :
( cC2(U_573)
| ~ rR1(iV5478,U_573) ),
inference(variable_rename,[status(thm)],[f_141_1]) ).
cnf(f_141_3,plain,
( cC2(U_573)
| ~ rR1(iV5478,U_573) ),
inference(clausify,[status(thm)],[f_141_2]) ).
fof(f_142_1,plain,
cC130xcomp(iV5478),
inference(fof_nnf,[status(thm)],[axiom_141]) ).
cnf(f_142_2,plain,
cC130xcomp(iV5478),
inference(clausify,[status(thm)],[f_142_1]) ).
fof(f_143_1,plain,
cC34xcomp(iV5478),
inference(fof_nnf,[status(thm)],[axiom_142]) ).
cnf(f_143_2,plain,
cC34xcomp(iV5478),
inference(clausify,[status(thm)],[f_143_1]) ).
fof(f_144_1,plain,
! [X] :
( cC10xcomp(X)
| ~ rR1(iV5478,X) ),
inference(fof_nnf,[status(thm)],[axiom_143]) ).
fof(f_144_2,plain,
! [U_574] :
( cC10xcomp(U_574)
| ~ rR1(iV5478,U_574) ),
inference(variable_rename,[status(thm)],[f_144_1]) ).
cnf(f_144_3,plain,
( cC10xcomp(U_574)
| ~ rR1(iV5478,U_574) ),
inference(clausify,[status(thm)],[f_144_2]) ).
fof(f_145_1,plain,
! [X] :
( cC28xcomp(X)
| ~ rR1(iV5478,X) ),
inference(fof_nnf,[status(thm)],[axiom_144]) ).
fof(f_145_2,plain,
! [U_575] :
( cC28xcomp(U_575)
| ~ rR1(iV5478,U_575) ),
inference(variable_rename,[status(thm)],[f_145_1]) ).
cnf(f_145_3,plain,
( cC28xcomp(U_575)
| ~ rR1(iV5478,U_575) ),
inference(clausify,[status(thm)],[f_145_2]) ).
fof(f_146_1,negated_conjecture,
~ ( cC138(iV5475)
& cowlThing(iV5475)
& cC140(iV5475)
& cC116(iV5475)
& ! [X] :
( xsd_string(X)
<=> ~ xsd_integer(X) )
& ! [X] :
( ~ cowlNothing(X)
& cowlThing(X) ) ),
inference(negate,[status(cth)],[the_axiom]) ).
fof(f_146_2,negated_conjecture,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [X] :
( ( ~ xsd_string(X)
& ~ xsd_integer(X) )
| ( xsd_integer(X)
& xsd_string(X) ) )
| ? [X] :
( cowlNothing(X)
| ~ cowlThing(X) ) ),
inference(fof_nnf,[status(thm)],[f_146_1]) ).
fof(f_146_3,negated_conjecture,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [U_577] :
( ( ~ xsd_string(U_577)
& ~ xsd_integer(U_577) )
| ( xsd_integer(U_577)
& xsd_string(U_577) ) )
| ? [U_576] :
( cowlNothing(U_576)
| ~ cowlThing(U_576) ) ),
inference(variable_rename,[status(thm)],[f_146_2]) ).
fof(f_146_4,negated_conjecture,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [U_581] :
( ~ xsd_string(U_581)
& ~ xsd_integer(U_581) )
| ? [U_580] :
( xsd_integer(U_580)
& xsd_string(U_580) )
| ? [U_579] : cowlNothing(U_579)
| ? [U_578] : ~ cowlThing(U_578) ),
inference(miniscope,[status(thm)],[f_146_3]) ).
fof(f_146_5,negated_conjecture,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [U_581] :
( ~ xsd_string(U_581)
& ~ xsd_integer(U_581) )
| ? [U_580] :
( xsd_integer(U_580)
& xsd_string(U_580) )
| ? [U_579] : cowlNothing(U_579)
| ~ cowlThing(sK95) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK95]),skolemize(U_578,sK95)],[f_146_4]) ).
fof(f_146_6,negated_conjecture,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [U_581] :
( ~ xsd_string(U_581)
& ~ xsd_integer(U_581) )
| ? [U_580] :
( xsd_integer(U_580)
& xsd_string(U_580) )
| cowlNothing(sK96)
| ~ cowlThing(sK95) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK96]),skolemize(U_579,sK96)],[f_146_5]) ).
fof(f_146_7,negated_conjecture,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ? [U_581] :
( ~ xsd_string(U_581)
& ~ xsd_integer(U_581) )
| ( xsd_integer(sK97)
& xsd_string(sK97) )
| cowlNothing(sK96)
| ~ cowlThing(sK95) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK97]),skolemize(U_580,sK97)],[f_146_6]) ).
fof(f_146_8,negated_conjecture,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| ( ~ xsd_string(sK98)
& ~ xsd_integer(sK98) )
| ( xsd_integer(sK97)
& xsd_string(sK97) )
| cowlNothing(sK96)
| ~ cowlThing(sK95) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK98]),skolemize(U_581,sK98)],[f_146_7]) ).
fof(f_146_9,negated_conjecture,
( ( ~ xsd_string(sK98)
| ~ sP1 )
& ( ~ xsd_integer(sK98)
| ~ sP1 )
& ( xsd_integer(sK97)
| ~ sP0 )
& ( xsd_string(sK97)
| ~ sP0 )
& ( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| sP1
| sP0
| cowlNothing(sK96)
| ~ cowlThing(sK95) ) ),
inference(definitional_conversion,[status(esa),new_symbols(definitional,[sP0,sP1])],[f_146_8]) ).
cnf(f_146_10,negated_conjecture,
( ~ cC138(iV5475)
| ~ cowlThing(iV5475)
| ~ cC140(iV5475)
| ~ cC116(iV5475)
| sP1
| sP0
| cowlNothing(sK96)
| ~ cowlThing(sK95) ),
inference(clausify,[status(thm)],[f_146_9]) ).
cnf(f_146_11,negated_conjecture,
( xsd_string(sK97)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_146_9]) ).
cnf(f_146_12,negated_conjecture,
( xsd_integer(sK97)
| ~ sP0 ),
inference(clausify,[status(thm)],[f_146_9]) ).
cnf(f_146_13,negated_conjecture,
( ~ xsd_integer(sK98)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_146_9]) ).
cnf(f_146_14,negated_conjecture,
( ~ xsd_string(sK98)
| ~ sP1 ),
inference(clausify,[status(thm)],[f_146_9]) ).
cnf(sat_proved,plain,
$false,
inference(cadical,[status(thm)],[]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS156+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 This is a FOF_THM_RFO_NEQ problem
% 0.00/0.04 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sat Sep 19 12:17:57 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.95/1.20 % SZS status Theorem for theBenchmark
% 0.95/1.20 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------