TSTP Solution File: LCL666+1.005 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL666+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:49:23 EDT 2022
% Result : Theorem 2.76s 0.73s
% Output : Refutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 142
% Syntax : Number of formulae : 1042 ( 44 unt; 0 def)
% Number of atoms : 5099 ( 0 equ)
% Maximal formula atoms : 241 ( 4 avg)
% Number of connectives : 7054 (2997 ~;2826 |;1132 &)
% ( 48 <=>; 51 =>; 0 <=; 0 <~>)
% Maximal formula depth : 88 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 121 ( 120 usr; 49 prp; 0-2 aty)
% Number of functors : 51 ( 51 usr; 1 con; 0-1 aty)
% Number of variables : 1051 ( 742 !; 309 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9268,plain,
$false,
inference(avatar_sat_refutation,[],[f425,f446,f463,f482,f503,f523,f581,f583,f585,f596,f601,f603,f607,f609,f1030,f1043,f1048,f1123,f1125,f1128,f1130,f1388,f1393,f1398,f1697,f1702,f1720,f1729,f1884,f1973,f1997,f2041,f2049,f2153,f2307,f2444,f2452,f2459,f2461,f2688,f3483,f3489,f3638,f3644,f3650,f3658,f3865,f3866,f3943,f3947,f3960,f4547,f4553,f4559,f4567,f4604,f4635,f4685,f4697,f5039,f5052,f5157,f5230,f5487,f5500,f5779,f5789,f5866,f5897,f5903,f6354,f6362,f6664,f6669,f6677,f6739,f6775,f6783,f6795,f6899,f6903,f6920,f7002,f7086,f7247,f7253,f7263,f7270,f7379,f7500,f7510,f7713,f7821,f8054,f8155,f8331,f8604,f8606,f8837,f9068,f9074,f9088,f9267]) ).
fof(f9267,plain,
( ~ spl92_5
| ~ spl92_7 ),
inference(avatar_contradiction_clause,[],[f9266]) ).
fof(f9266,plain,
( $false
| ~ spl92_5
| ~ spl92_7 ),
inference(subsumption_resolution,[],[f9265,f541]) ).
fof(f541,plain,
sP21(sK91),
inference(resolution,[],[f248,f524]) ).
fof(f524,plain,
sP40(sK91),
inference(resolution,[],[f407,f401]) ).
fof(f401,plain,
! [X10] :
( ~ r1(sK91,X10)
| sP40(X10) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( ( ! [X1] :
( p103(X1)
| ~ r1(sK91,X1) )
| ! [X2] :
( ~ r1(sK91,X2)
| p104(X2) )
| ! [X3] :
( p105(X3)
| ~ r1(sK91,X3) )
| p101(sK91)
| ! [X4] :
( ~ r1(sK91,X4)
| p102(X4) ) )
& ( p201(sK91)
| ! [X5] :
( p203(X5)
| ~ r1(sK91,X5) )
| ! [X6] :
( ~ r1(sK91,X6)
| p204(X6) )
| p202(sK91)
| ! [X7] :
( ~ r1(sK91,X7)
| p205(X7) ) )
& ( p505(sK91)
| p504(sK91)
| p502(sK91)
| p501(sK91)
| p503(sK91) )
& ( ! [X8] :
( p304(X8)
| ~ r1(sK91,X8) )
| p302(sK91)
| p301(sK91)
| p303(sK91)
| ! [X9] :
( p305(X9)
| ~ r1(sK91,X9) ) )
& ( p603(sK91)
| p602(sK91)
| p601(sK91)
| p604(sK91)
| p605(sK91) )
& ! [X10] :
( ~ r1(sK91,X10)
| sP40(X10) )
& ( p402(sK91)
| p401(sK91)
| ! [X11] :
( p405(X11)
| ~ r1(sK91,X11) )
| p404(sK91)
| p403(sK91) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK91])],[f222,f223]) ).
fof(f223,plain,
( ? [X0] :
( ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( ~ r1(X0,X2)
| p104(X2) )
| ! [X3] :
( p105(X3)
| ~ r1(X0,X3) )
| p101(X0)
| ! [X4] :
( ~ r1(X0,X4)
| p102(X4) ) )
& ( p201(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( ~ r1(X0,X6)
| p204(X6) )
| p202(X0)
| ! [X7] :
( ~ r1(X0,X7)
| p205(X7) ) )
& ( p505(X0)
| p504(X0)
| p502(X0)
| p501(X0)
| p503(X0) )
& ( ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| p302(X0)
| p301(X0)
| p303(X0)
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p603(X0)
| p602(X0)
| p601(X0)
| p604(X0)
| p605(X0) )
& ! [X10] :
( ~ r1(X0,X10)
| sP40(X10) )
& ( p402(X0)
| p401(X0)
| ! [X11] :
( p405(X11)
| ~ r1(X0,X11) )
| p404(X0)
| p403(X0) ) )
=> ( ( ! [X1] :
( p103(X1)
| ~ r1(sK91,X1) )
| ! [X2] :
( ~ r1(sK91,X2)
| p104(X2) )
| ! [X3] :
( p105(X3)
| ~ r1(sK91,X3) )
| p101(sK91)
| ! [X4] :
( ~ r1(sK91,X4)
| p102(X4) ) )
& ( p201(sK91)
| ! [X5] :
( p203(X5)
| ~ r1(sK91,X5) )
| ! [X6] :
( ~ r1(sK91,X6)
| p204(X6) )
| p202(sK91)
| ! [X7] :
( ~ r1(sK91,X7)
| p205(X7) ) )
& ( p505(sK91)
| p504(sK91)
| p502(sK91)
| p501(sK91)
| p503(sK91) )
& ( ! [X8] :
( p304(X8)
| ~ r1(sK91,X8) )
| p302(sK91)
| p301(sK91)
| p303(sK91)
| ! [X9] :
( p305(X9)
| ~ r1(sK91,X9) ) )
& ( p603(sK91)
| p602(sK91)
| p601(sK91)
| p604(sK91)
| p605(sK91) )
& ! [X10] :
( ~ r1(sK91,X10)
| sP40(X10) )
& ( p402(sK91)
| p401(sK91)
| ! [X11] :
( p405(X11)
| ~ r1(sK91,X11) )
| p404(sK91)
| p403(sK91) ) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
? [X0] :
( ( ! [X1] :
( p103(X1)
| ~ r1(X0,X1) )
| ! [X2] :
( ~ r1(X0,X2)
| p104(X2) )
| ! [X3] :
( p105(X3)
| ~ r1(X0,X3) )
| p101(X0)
| ! [X4] :
( ~ r1(X0,X4)
| p102(X4) ) )
& ( p201(X0)
| ! [X5] :
( p203(X5)
| ~ r1(X0,X5) )
| ! [X6] :
( ~ r1(X0,X6)
| p204(X6) )
| p202(X0)
| ! [X7] :
( ~ r1(X0,X7)
| p205(X7) ) )
& ( p505(X0)
| p504(X0)
| p502(X0)
| p501(X0)
| p503(X0) )
& ( ! [X8] :
( p304(X8)
| ~ r1(X0,X8) )
| p302(X0)
| p301(X0)
| p303(X0)
| ! [X9] :
( p305(X9)
| ~ r1(X0,X9) ) )
& ( p603(X0)
| p602(X0)
| p601(X0)
| p604(X0)
| p605(X0) )
& ! [X10] :
( ~ r1(X0,X10)
| sP40(X10) )
& ( p402(X0)
| p401(X0)
| ! [X11] :
( p405(X11)
| ~ r1(X0,X11) )
| p404(X0)
| p403(X0) ) ),
inference(rectify,[],[f49]) ).
fof(f49,plain,
? [X0] :
( ( ! [X54] :
( p103(X54)
| ~ r1(X0,X54) )
| ! [X53] :
( ~ r1(X0,X53)
| p104(X53) )
| ! [X56] :
( p105(X56)
| ~ r1(X0,X56) )
| p101(X0)
| ! [X55] :
( ~ r1(X0,X55)
| p102(X55) ) )
& ( p201(X0)
| ! [X59] :
( p203(X59)
| ~ r1(X0,X59) )
| ! [X58] :
( ~ r1(X0,X58)
| p204(X58) )
| p202(X0)
| ! [X57] :
( ~ r1(X0,X57)
| p205(X57) ) )
& ( p505(X0)
| p504(X0)
| p502(X0)
| p501(X0)
| p503(X0) )
& ( ! [X60] :
( p304(X60)
| ~ r1(X0,X60) )
| p302(X0)
| p301(X0)
| p303(X0)
| ! [X61] :
( p305(X61)
| ~ r1(X0,X61) ) )
& ( p603(X0)
| p602(X0)
| p601(X0)
| p604(X0)
| p605(X0) )
& ! [X1] :
( ~ r1(X0,X1)
| sP40(X1) )
& ( p402(X0)
| p401(X0)
| ! [X52] :
( p405(X52)
| ~ r1(X0,X52) )
| p404(X0)
| p403(X0) ) ),
inference(definition_folding,[],[f7,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
! [X1] :
( ? [X17] :
( r1(X1,X17)
& ~ p405(X17) )
| ? [X16] :
( r1(X1,X16)
& ~ p205(X16) )
| ~ sP0(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X1] :
( ? [X44] :
( ~ p405(X44)
& r1(X1,X44) )
| ? [X45] :
( ~ p305(X45)
& r1(X1,X45) )
| ~ sP1(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X1] :
( ? [X10] :
( ~ p105(X10)
& r1(X1,X10) )
| ? [X11] :
( r1(X1,X11)
& ~ p205(X11) )
| ~ sP2(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X1] :
( ? [X20] :
( ~ p205(X20)
& r1(X1,X20) )
| ? [X21] :
( ~ p305(X21)
& r1(X1,X21) )
| ~ sP3(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X1] :
( ? [X3] :
( r1(X1,X3)
& ~ p204(X3) )
| ? [X4] :
( ~ p104(X4)
& r1(X1,X4) )
| ~ sP4(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X1] :
( ? [X18] :
( r1(X1,X18)
& ~ p305(X18) )
| ? [X19] :
( r1(X1,X19)
& ~ p105(X19) )
| ~ sP5(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X1] :
( ? [X37] :
( r1(X1,X37)
& ~ p104(X37) )
| ? [X38] :
( ~ p304(X38)
& r1(X1,X38) )
| ~ sP6(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X1] :
( ? [X28] :
( ~ p304(X28)
& r1(X1,X28) )
| ? [X27] :
( r1(X1,X27)
& ~ p204(X27) )
| ~ sP7(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
! [X1] :
( ? [X33] :
( ~ p103(X33)
& r1(X1,X33) )
| ? [X32] :
( ~ p203(X32)
& r1(X1,X32) )
| ~ sP8(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f17,plain,
! [X1] :
( ? [X35] :
( r1(X1,X35)
& ~ p105(X35) )
| ? [X36] :
( ~ p405(X36)
& r1(X1,X36) )
| ~ sP9(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f18,plain,
! [X1] :
( ~ p505(X1)
| ? [X29] :
( ~ p305(X29)
& r1(X1,X29) )
| ~ sP10(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
! [X1] :
( ? [X25] :
( r1(X1,X25)
& ~ p102(X25) )
| ~ p502(X1)
| ~ sP11(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
! [X1] :
( ? [X34] :
( ~ p405(X34)
& r1(X1,X34) )
| ~ p505(X1)
| ~ sP12(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
! [X1] :
( ~ p604(X1)
| ? [X46] :
( r1(X1,X46)
& ~ p204(X46) )
| ~ sP13(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
! [X1] :
( ~ p605(X1)
| ? [X48] :
( ~ p105(X48)
& r1(X1,X48) )
| ~ sP14(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
! [X1] :
( ~ p503(X1)
| ? [X47] :
( r1(X1,X47)
& ~ p203(X47) )
| ~ sP15(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
! [X1] :
( ? [X39] :
( r1(X1,X39)
& ~ p103(X39) )
| ~ p303(X1)
| ~ sP16(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
! [X1] :
( ? [X42] :
( r1(X1,X42)
& ~ p405(X42) )
| ~ p605(X1)
| ~ sP17(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
! [X1] :
( ~ p604(X1)
| ? [X15] :
( r1(X1,X15)
& ~ p104(X15) )
| ~ sP18(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
| ~ p505(X1)
| ~ sP19(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f28,plain,
! [X1] :
( ~ p603(X1)
| ? [X13] :
( ~ p103(X13)
& r1(X1,X13) )
| ~ sP20(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f29,plain,
! [X1] :
( ~ p504(X1)
| ? [X49] :
( ~ p204(X49)
& r1(X1,X49) )
| ~ sP21(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f30,plain,
! [X1] :
( ~ p403(X1)
| ? [X31] :
( r1(X1,X31)
& ~ p103(X31) )
| ~ sP22(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
! [X1] :
( ~ p503(X1)
| ? [X43] :
( r1(X1,X43)
& ~ p103(X43) )
| ~ sP23(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f32,plain,
! [X1] :
( ~ p505(X1)
| ? [X6] :
( r1(X1,X6)
& ~ p205(X6) )
| ~ sP24(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f33,plain,
! [X1] :
( ~ p404(X1)
| ? [X5] :
( ~ p204(X5)
& r1(X1,X5) )
| ~ sP25(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f34,plain,
! [X1] :
( ~ p302(X1)
| ? [X8] :
( ~ p102(X8)
& r1(X1,X8) )
| ~ sP26(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f35,plain,
! [X1] :
( ~ p604(X1)
| ? [X51] :
( ~ p304(X51)
& r1(X1,X51) )
| ~ sP27(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f36,plain,
! [X1] :
( ~ p605(X1)
| ? [X50] :
( r1(X1,X50)
& ~ p205(X50) )
| ~ sP28(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f37,plain,
! [X1] :
( ? [X26] :
( ~ p102(X26)
& r1(X1,X26) )
| ~ p602(X1)
| ~ sP29(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f38,plain,
! [X1] :
( ? [X22] :
( r1(X1,X22)
& ~ p304(X22) )
| ~ p404(X1)
| ~ sP30(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f39,plain,
! [X1] :
( ? [X12] :
( r1(X1,X12)
& ~ p104(X12) )
| ~ p504(X1)
| ~ sP31(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f40,plain,
! [X1] :
( ~ p402(X1)
| ? [X14] :
( ~ p102(X14)
& r1(X1,X14) )
| ~ sP32(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f41,plain,
! [X1] :
( ? [X9] :
( r1(X1,X9)
& ~ p203(X9) )
| ~ p303(X1)
| ~ sP33(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f42,plain,
! [X1] :
( ? [X30] :
( r1(X1,X30)
& ~ p304(X30) )
| ~ p504(X1)
| ~ sP34(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f43,plain,
! [X1] :
( ? [X40] :
( ~ p203(X40)
& r1(X1,X40) )
| ~ p603(X1)
| ~ sP35(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f44,plain,
! [X1] :
( ? [X24] :
( ~ p104(X24)
& r1(X1,X24) )
| ~ p404(X1)
| ~ sP36(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f45,plain,
! [X1] :
( ? [X23] :
( ~ p305(X23)
& r1(X1,X23) )
| ~ p605(X1)
| ~ sP37(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f46,plain,
! [X1] :
( ~ p403(X1)
| ? [X7] :
( ~ p203(X7)
& r1(X1,X7) )
| ~ sP38(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f47,plain,
! [X1] :
( ~ p202(X1)
| ? [X41] :
( r1(X1,X41)
& ~ p102(X41) )
| ~ sP39(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f48,plain,
! [X1] :
( ( ( ~ p302(X1)
| ~ p502(X1) )
& sP39(X1)
& ( ~ p303(X1)
| ~ p403(X1) )
& ( ~ p401(X1)
| ~ p201(X1) )
& sP38(X1)
& sP37(X1)
& sP36(X1)
& ( ~ p602(X1)
| ~ p502(X1) )
& ( ~ p101(X1)
| ~ p301(X1) )
& sP35(X1)
& sP34(X1)
& sP33(X1)
& sP32(X1)
& ( ~ p505(X1)
| ~ p605(X1) )
& sP9(X1)
& sP31(X1)
& ( ~ p401(X1)
| ~ p501(X1) )
& sP8(X1)
& ( ~ p602(X1)
| ~ p402(X1) )
& ( ~ p603(X1)
| ~ p303(X1) )
& sP30(X1)
& ( ~ p502(X1)
| ~ p402(X1) )
& ( ~ p502(X1)
| ~ p202(X1) )
& ( ~ p601(X1)
| ~ p201(X1) )
& ( ~ p202(X1)
| ~ p602(X1) )
& ( ~ p303(X1)
| ~ p503(X1) )
& sP29(X1)
& ( ~ p601(X1)
| ~ p501(X1) )
& ( ~ p501(X1)
| ~ p301(X1) )
& sP7(X1)
& ( ~ p602(X1)
| ~ p302(X1) )
& ( ~ p501(X1)
| ~ p201(X1) )
& sP28(X1)
& sP6(X1)
& ( ~ p301(X1)
| ~ p401(X1) )
& sP27(X1)
& sP5(X1)
& ( ~ p301(X1)
| ~ p601(X1) )
& sP26(X1)
& ( ~ p402(X1)
| ~ p202(X1) )
& sP25(X1)
& ( ~ p404(X1)
| ~ p504(X1) )
& sP4(X1)
& sP24(X1)
& ( ~ p202(X1)
| ~ p302(X1) )
& sP3(X1)
& sP23(X1)
& ( ~ p201(X1)
| ~ p301(X1) )
& sP22(X1)
& ( ~ p504(X1)
| ~ p604(X1) )
& ( ~ p503(X1)
| ~ p403(X1) )
& sP21(X1)
& sP20(X1)
& ( ~ p601(X1)
| ~ p401(X1) )
& sP2(X1)
& sP19(X1)
& sP18(X1)
& ( ~ p603(X1)
| ~ p403(X1) )
& sP17(X1)
& sP16(X1)
& sP15(X1)
& ( ~ p101(X1)
| ~ p501(X1) )
& sP1(X1)
& sP14(X1)
& sP13(X1)
& ( ~ p101(X1)
| ~ p401(X1) )
& sP12(X1)
& ( ~ p604(X1)
| ~ p404(X1) )
& ( ~ p503(X1)
| ~ p603(X1) )
& sP11(X1)
& ( ~ p302(X1)
| ~ p402(X1) )
& ( ~ p201(X1)
| ~ p101(X1) )
& sP0(X1)
& ( ~ p101(X1)
| ~ p601(X1) )
& sP10(X1) )
| ~ sP40(X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f7,plain,
? [X0] :
( ( ! [X54] :
( p103(X54)
| ~ r1(X0,X54) )
| ! [X53] :
( ~ r1(X0,X53)
| p104(X53) )
| ! [X56] :
( p105(X56)
| ~ r1(X0,X56) )
| p101(X0)
| ! [X55] :
( ~ r1(X0,X55)
| p102(X55) ) )
& ( p201(X0)
| ! [X59] :
( p203(X59)
| ~ r1(X0,X59) )
| ! [X58] :
( ~ r1(X0,X58)
| p204(X58) )
| p202(X0)
| ! [X57] :
( ~ r1(X0,X57)
| p205(X57) ) )
& ( p505(X0)
| p504(X0)
| p502(X0)
| p501(X0)
| p503(X0) )
& ( ! [X60] :
( p304(X60)
| ~ r1(X0,X60) )
| p302(X0)
| p301(X0)
| p303(X0)
| ! [X61] :
( p305(X61)
| ~ r1(X0,X61) ) )
& ( p603(X0)
| p602(X0)
| p601(X0)
| p604(X0)
| p605(X0) )
& ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ p302(X1)
| ~ p502(X1) )
& ( ~ p202(X1)
| ? [X41] :
( r1(X1,X41)
& ~ p102(X41) ) )
& ( ~ p303(X1)
| ~ p403(X1) )
& ( ~ p401(X1)
| ~ p201(X1) )
& ( ~ p403(X1)
| ? [X7] :
( ~ p203(X7)
& r1(X1,X7) ) )
& ( ? [X23] :
( ~ p305(X23)
& r1(X1,X23) )
| ~ p605(X1) )
& ( ? [X24] :
( ~ p104(X24)
& r1(X1,X24) )
| ~ p404(X1) )
& ( ~ p602(X1)
| ~ p502(X1) )
& ( ~ p101(X1)
| ~ p301(X1) )
& ( ? [X40] :
( ~ p203(X40)
& r1(X1,X40) )
| ~ p603(X1) )
& ( ? [X30] :
( r1(X1,X30)
& ~ p304(X30) )
| ~ p504(X1) )
& ( ? [X9] :
( r1(X1,X9)
& ~ p203(X9) )
| ~ p303(X1) )
& ( ~ p402(X1)
| ? [X14] :
( ~ p102(X14)
& r1(X1,X14) ) )
& ( ~ p505(X1)
| ~ p605(X1) )
& ( ? [X35] :
( r1(X1,X35)
& ~ p105(X35) )
| ? [X36] :
( ~ p405(X36)
& r1(X1,X36) ) )
& ( ? [X12] :
( r1(X1,X12)
& ~ p104(X12) )
| ~ p504(X1) )
& ( ~ p401(X1)
| ~ p501(X1) )
& ( ? [X33] :
( ~ p103(X33)
& r1(X1,X33) )
| ? [X32] :
( ~ p203(X32)
& r1(X1,X32) ) )
& ( ~ p602(X1)
| ~ p402(X1) )
& ( ~ p603(X1)
| ~ p303(X1) )
& ( ? [X22] :
( r1(X1,X22)
& ~ p304(X22) )
| ~ p404(X1) )
& ( ~ p502(X1)
| ~ p402(X1) )
& ( ~ p502(X1)
| ~ p202(X1) )
& ( ~ p601(X1)
| ~ p201(X1) )
& ( ~ p202(X1)
| ~ p602(X1) )
& ( ~ p303(X1)
| ~ p503(X1) )
& ( ? [X26] :
( ~ p102(X26)
& r1(X1,X26) )
| ~ p602(X1) )
& ( ~ p601(X1)
| ~ p501(X1) )
& ( ~ p501(X1)
| ~ p301(X1) )
& ( ? [X28] :
( ~ p304(X28)
& r1(X1,X28) )
| ? [X27] :
( r1(X1,X27)
& ~ p204(X27) ) )
& ( ~ p602(X1)
| ~ p302(X1) )
& ( ~ p501(X1)
| ~ p201(X1) )
& ( ~ p605(X1)
| ? [X50] :
( r1(X1,X50)
& ~ p205(X50) ) )
& ( ? [X37] :
( r1(X1,X37)
& ~ p104(X37) )
| ? [X38] :
( ~ p304(X38)
& r1(X1,X38) ) )
& ( ~ p301(X1)
| ~ p401(X1) )
& ( ~ p604(X1)
| ? [X51] :
( ~ p304(X51)
& r1(X1,X51) ) )
& ( ? [X18] :
( r1(X1,X18)
& ~ p305(X18) )
| ? [X19] :
( r1(X1,X19)
& ~ p105(X19) ) )
& ( ~ p301(X1)
| ~ p601(X1) )
& ( ~ p302(X1)
| ? [X8] :
( ~ p102(X8)
& r1(X1,X8) ) )
& ( ~ p402(X1)
| ~ p202(X1) )
& ( ~ p404(X1)
| ? [X5] :
( ~ p204(X5)
& r1(X1,X5) ) )
& ( ~ p404(X1)
| ~ p504(X1) )
& ( ? [X3] :
( r1(X1,X3)
& ~ p204(X3) )
| ? [X4] :
( ~ p104(X4)
& r1(X1,X4) ) )
& ( ~ p505(X1)
| ? [X6] :
( r1(X1,X6)
& ~ p205(X6) ) )
& ( ~ p202(X1)
| ~ p302(X1) )
& ( ? [X20] :
( ~ p205(X20)
& r1(X1,X20) )
| ? [X21] :
( ~ p305(X21)
& r1(X1,X21) ) )
& ( ~ p503(X1)
| ? [X43] :
( r1(X1,X43)
& ~ p103(X43) ) )
& ( ~ p201(X1)
| ~ p301(X1) )
& ( ~ p403(X1)
| ? [X31] :
( r1(X1,X31)
& ~ p103(X31) ) )
& ( ~ p504(X1)
| ~ p604(X1) )
& ( ~ p503(X1)
| ~ p403(X1) )
& ( ~ p504(X1)
| ? [X49] :
( ~ p204(X49)
& r1(X1,X49) ) )
& ( ~ p603(X1)
| ? [X13] :
( ~ p103(X13)
& r1(X1,X13) ) )
& ( ~ p601(X1)
| ~ p401(X1) )
& ( ? [X10] :
( ~ p105(X10)
& r1(X1,X10) )
| ? [X11] :
( r1(X1,X11)
& ~ p205(X11) ) )
& ( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
| ~ p505(X1) )
& ( ~ p604(X1)
| ? [X15] :
( r1(X1,X15)
& ~ p104(X15) ) )
& ( ~ p603(X1)
| ~ p403(X1) )
& ( ? [X42] :
( r1(X1,X42)
& ~ p405(X42) )
| ~ p605(X1) )
& ( ? [X39] :
( r1(X1,X39)
& ~ p103(X39) )
| ~ p303(X1) )
& ( ~ p503(X1)
| ? [X47] :
( r1(X1,X47)
& ~ p203(X47) ) )
& ( ~ p101(X1)
| ~ p501(X1) )
& ( ? [X44] :
( ~ p405(X44)
& r1(X1,X44) )
| ? [X45] :
( ~ p305(X45)
& r1(X1,X45) ) )
& ( ~ p605(X1)
| ? [X48] :
( ~ p105(X48)
& r1(X1,X48) ) )
& ( ~ p604(X1)
| ? [X46] :
( r1(X1,X46)
& ~ p204(X46) ) )
& ( ~ p101(X1)
| ~ p401(X1) )
& ( ? [X34] :
( ~ p405(X34)
& r1(X1,X34) )
| ~ p505(X1) )
& ( ~ p604(X1)
| ~ p404(X1) )
& ( ~ p503(X1)
| ~ p603(X1) )
& ( ? [X25] :
( r1(X1,X25)
& ~ p102(X25) )
| ~ p502(X1) )
& ( ~ p302(X1)
| ~ p402(X1) )
& ( ~ p201(X1)
| ~ p101(X1) )
& ( ? [X17] :
( r1(X1,X17)
& ~ p405(X17) )
| ? [X16] :
( r1(X1,X16)
& ~ p205(X16) ) )
& ( ~ p101(X1)
| ~ p601(X1) )
& ( ~ p505(X1)
| ? [X29] :
( ~ p305(X29)
& r1(X1,X29) ) ) ) )
& ( p402(X0)
| p401(X0)
| ! [X52] :
( p405(X52)
| ~ r1(X0,X52) )
| p404(X0)
| p403(X0) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ p302(X1)
| ~ p502(X1) )
& ( ~ p202(X1)
| ? [X41] :
( r1(X1,X41)
& ~ p102(X41) ) )
& ( ~ p303(X1)
| ~ p403(X1) )
& ( ~ p401(X1)
| ~ p201(X1) )
& ( ~ p403(X1)
| ? [X7] :
( ~ p203(X7)
& r1(X1,X7) ) )
& ( ? [X23] :
( ~ p305(X23)
& r1(X1,X23) )
| ~ p605(X1) )
& ( ? [X24] :
( ~ p104(X24)
& r1(X1,X24) )
| ~ p404(X1) )
& ( ~ p602(X1)
| ~ p502(X1) )
& ( ~ p101(X1)
| ~ p301(X1) )
& ( ? [X40] :
( ~ p203(X40)
& r1(X1,X40) )
| ~ p603(X1) )
& ( ? [X30] :
( r1(X1,X30)
& ~ p304(X30) )
| ~ p504(X1) )
& ( ? [X9] :
( r1(X1,X9)
& ~ p203(X9) )
| ~ p303(X1) )
& ( ~ p402(X1)
| ? [X14] :
( ~ p102(X14)
& r1(X1,X14) ) )
& ( ~ p505(X1)
| ~ p605(X1) )
& ( ? [X35] :
( r1(X1,X35)
& ~ p105(X35) )
| ? [X36] :
( ~ p405(X36)
& r1(X1,X36) ) )
& ( ? [X12] :
( r1(X1,X12)
& ~ p104(X12) )
| ~ p504(X1) )
& ( ~ p401(X1)
| ~ p501(X1) )
& ( ? [X33] :
( ~ p103(X33)
& r1(X1,X33) )
| ? [X32] :
( ~ p203(X32)
& r1(X1,X32) ) )
& ( ~ p602(X1)
| ~ p402(X1) )
& ( ~ p603(X1)
| ~ p303(X1) )
& ( ? [X22] :
( r1(X1,X22)
& ~ p304(X22) )
| ~ p404(X1) )
& ( ~ p502(X1)
| ~ p402(X1) )
& ( ~ p502(X1)
| ~ p202(X1) )
& ( ~ p601(X1)
| ~ p201(X1) )
& ( ~ p202(X1)
| ~ p602(X1) )
& ( ~ p303(X1)
| ~ p503(X1) )
& ( ? [X26] :
( ~ p102(X26)
& r1(X1,X26) )
| ~ p602(X1) )
& ( ~ p601(X1)
| ~ p501(X1) )
& ( ~ p501(X1)
| ~ p301(X1) )
& ( ? [X28] :
( ~ p304(X28)
& r1(X1,X28) )
| ? [X27] :
( r1(X1,X27)
& ~ p204(X27) ) )
& ( ~ p602(X1)
| ~ p302(X1) )
& ( ~ p501(X1)
| ~ p201(X1) )
& ( ~ p605(X1)
| ? [X50] :
( r1(X1,X50)
& ~ p205(X50) ) )
& ( ? [X37] :
( r1(X1,X37)
& ~ p104(X37) )
| ? [X38] :
( ~ p304(X38)
& r1(X1,X38) ) )
& ( ~ p301(X1)
| ~ p401(X1) )
& ( ~ p604(X1)
| ? [X51] :
( ~ p304(X51)
& r1(X1,X51) ) )
& ( ? [X18] :
( r1(X1,X18)
& ~ p305(X18) )
| ? [X19] :
( r1(X1,X19)
& ~ p105(X19) ) )
& ( ~ p301(X1)
| ~ p601(X1) )
& ( ~ p302(X1)
| ? [X8] :
( ~ p102(X8)
& r1(X1,X8) ) )
& ( ~ p402(X1)
| ~ p202(X1) )
& ( ~ p404(X1)
| ? [X5] :
( ~ p204(X5)
& r1(X1,X5) ) )
& ( ~ p404(X1)
| ~ p504(X1) )
& ( ? [X3] :
( r1(X1,X3)
& ~ p204(X3) )
| ? [X4] :
( ~ p104(X4)
& r1(X1,X4) ) )
& ( ~ p505(X1)
| ? [X6] :
( r1(X1,X6)
& ~ p205(X6) ) )
& ( ~ p202(X1)
| ~ p302(X1) )
& ( ? [X20] :
( ~ p205(X20)
& r1(X1,X20) )
| ? [X21] :
( ~ p305(X21)
& r1(X1,X21) ) )
& ( ~ p503(X1)
| ? [X43] :
( r1(X1,X43)
& ~ p103(X43) ) )
& ( ~ p201(X1)
| ~ p301(X1) )
& ( ~ p403(X1)
| ? [X31] :
( r1(X1,X31)
& ~ p103(X31) ) )
& ( ~ p504(X1)
| ~ p604(X1) )
& ( ~ p503(X1)
| ~ p403(X1) )
& ( ~ p504(X1)
| ? [X49] :
( ~ p204(X49)
& r1(X1,X49) ) )
& ( ~ p603(X1)
| ? [X13] :
( ~ p103(X13)
& r1(X1,X13) ) )
& ( ~ p601(X1)
| ~ p401(X1) )
& ( ? [X10] :
( ~ p105(X10)
& r1(X1,X10) )
| ? [X11] :
( r1(X1,X11)
& ~ p205(X11) ) )
& ( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
| ~ p505(X1) )
& ( ~ p604(X1)
| ? [X15] :
( r1(X1,X15)
& ~ p104(X15) ) )
& ( ~ p603(X1)
| ~ p403(X1) )
& ( ? [X42] :
( r1(X1,X42)
& ~ p405(X42) )
| ~ p605(X1) )
& ( ? [X39] :
( r1(X1,X39)
& ~ p103(X39) )
| ~ p303(X1) )
& ( ~ p503(X1)
| ? [X47] :
( r1(X1,X47)
& ~ p203(X47) ) )
& ( ~ p101(X1)
| ~ p501(X1) )
& ( ? [X44] :
( ~ p405(X44)
& r1(X1,X44) )
| ? [X45] :
( ~ p305(X45)
& r1(X1,X45) ) )
& ( ~ p605(X1)
| ? [X48] :
( ~ p105(X48)
& r1(X1,X48) ) )
& ( ~ p604(X1)
| ? [X46] :
( r1(X1,X46)
& ~ p204(X46) ) )
& ( ~ p101(X1)
| ~ p401(X1) )
& ( ? [X34] :
( ~ p405(X34)
& r1(X1,X34) )
| ~ p505(X1) )
& ( ~ p604(X1)
| ~ p404(X1) )
& ( ~ p503(X1)
| ~ p603(X1) )
& ( ? [X25] :
( r1(X1,X25)
& ~ p102(X25) )
| ~ p502(X1) )
& ( ~ p302(X1)
| ~ p402(X1) )
& ( ~ p201(X1)
| ~ p101(X1) )
& ( ? [X17] :
( r1(X1,X17)
& ~ p405(X17) )
| ? [X16] :
( r1(X1,X16)
& ~ p205(X16) ) )
& ( ~ p101(X1)
| ~ p601(X1) )
& ( ~ p505(X1)
| ? [X29] :
( ~ p305(X29)
& r1(X1,X29) ) ) ) )
& ( p201(X0)
| ! [X59] :
( p203(X59)
| ~ r1(X0,X59) )
| ! [X58] :
( ~ r1(X0,X58)
| p204(X58) )
| p202(X0)
| ! [X57] :
( ~ r1(X0,X57)
| p205(X57) ) )
& ( p603(X0)
| p602(X0)
| p601(X0)
| p604(X0)
| p605(X0) )
& ( ! [X54] :
( p103(X54)
| ~ r1(X0,X54) )
| ! [X53] :
( ~ r1(X0,X53)
| p104(X53) )
| ! [X56] :
( p105(X56)
| ~ r1(X0,X56) )
| p101(X0)
| ! [X55] :
( ~ r1(X0,X55)
| p102(X55) ) )
& ( p505(X0)
| p504(X0)
| p502(X0)
| p501(X0)
| p503(X0) )
& ( p402(X0)
| p401(X0)
| ! [X52] :
( p405(X52)
| ~ r1(X0,X52) )
| p404(X0)
| p403(X0) )
& ( ! [X60] :
( p304(X60)
| ~ r1(X0,X60) )
| p302(X0)
| p301(X0)
| p303(X0)
| ! [X61] :
( p305(X61)
| ~ r1(X0,X61) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p601(X1)
& p301(X1) )
| ( ! [X40] :
( p203(X40)
| ~ r1(X1,X40) )
& p603(X1) )
| ( p503(X1)
& ! [X47] :
( ~ r1(X1,X47)
| p203(X47) ) )
| ( p601(X1)
& p401(X1) )
| ( ! [X15] :
( p104(X15)
| ~ r1(X1,X15) )
& p604(X1) )
| ( ! [X3] :
( p204(X3)
| ~ r1(X1,X3) )
& ! [X4] :
( ~ r1(X1,X4)
| p104(X4) ) )
| ( ! [X31] :
( p103(X31)
| ~ r1(X1,X31) )
& p403(X1) )
| ( p303(X1)
& p603(X1) )
| ( ! [X23] :
( p305(X23)
| ~ r1(X1,X23) )
& p605(X1) )
| ( ! [X46] :
( ~ r1(X1,X46)
| p204(X46) )
& p604(X1) )
| ( p403(X1)
& p503(X1) )
| ( ! [X13] :
( ~ r1(X1,X13)
| p103(X13) )
& p603(X1) )
| ( ! [X42] :
( p405(X42)
| ~ r1(X1,X42) )
& p605(X1) )
| ( p602(X1)
& ! [X26] :
( p102(X26)
| ~ r1(X1,X26) ) )
| ( p201(X1)
& p101(X1) )
| ( p604(X1)
& p504(X1) )
| ( p202(X1)
& p402(X1) )
| ( ! [X8] :
( p102(X8)
| ~ r1(X1,X8) )
& p302(X1) )
| ( p403(X1)
& p303(X1) )
| ( p101(X1)
& p601(X1) )
| ( ! [X32] :
( p203(X32)
| ~ r1(X1,X32) )
& ! [X33] :
( p103(X33)
| ~ r1(X1,X33) ) )
| ( p403(X1)
& p603(X1) )
| ( p504(X1)
& p404(X1) )
| ( p505(X1)
& ! [X6] :
( ~ r1(X1,X6)
| p205(X6) ) )
| ( p404(X1)
& ! [X22] :
( ~ r1(X1,X22)
| p304(X22) ) )
| ( ! [X10] :
( ~ r1(X1,X10)
| p105(X10) )
& ! [X11] :
( p205(X11)
| ~ r1(X1,X11) ) )
| ( p602(X1)
& p402(X1) )
| ( p401(X1)
& p201(X1) )
| ( ! [X25] :
( ~ r1(X1,X25)
| p102(X25) )
& p502(X1) )
| ( p501(X1)
& p601(X1) )
| ( ! [X7] :
( p203(X7)
| ~ r1(X1,X7) )
& p403(X1) )
| ( p402(X1)
& p302(X1) )
| ( p201(X1)
& p501(X1) )
| ( p201(X1)
& p601(X1) )
| ( ! [X34] :
( p405(X34)
| ~ r1(X1,X34) )
& p505(X1) )
| ( p504(X1)
& ! [X12] :
( ~ r1(X1,X12)
| p104(X12) ) )
| ( p302(X1)
& p502(X1) )
| ( p401(X1)
& p301(X1) )
| ( ! [X21] :
( ~ r1(X1,X21)
| p305(X21) )
& ! [X20] :
( p205(X20)
| ~ r1(X1,X20) ) )
| ( p101(X1)
& p401(X1) )
| ( p503(X1)
& p303(X1) )
| ( p605(X1)
& p505(X1) )
| ( p504(X1)
& ! [X30] :
( p304(X30)
| ~ r1(X1,X30) ) )
| ( p501(X1)
& p301(X1) )
| ( p604(X1)
& ! [X51] :
( ~ r1(X1,X51)
| p304(X51) ) )
| ( ! [X36] :
( ~ r1(X1,X36)
| p405(X36) )
& ! [X35] :
( ~ r1(X1,X35)
| p105(X35) ) )
| ( p301(X1)
& p201(X1) )
| ( p501(X1)
& p401(X1) )
| ( p101(X1)
& p501(X1) )
| ( p402(X1)
& ! [X14] :
( ~ r1(X1,X14)
| p102(X14) ) )
| ( p404(X1)
& p604(X1) )
| ( ! [X44] :
( ~ r1(X1,X44)
| p405(X44) )
& ! [X45] :
( p305(X45)
| ~ r1(X1,X45) ) )
| ( p605(X1)
& ! [X48] :
( p105(X48)
| ~ r1(X1,X48) ) )
| ( p202(X1)
& p302(X1) )
| ( p502(X1)
& p402(X1) )
| ( ! [X16] :
( ~ r1(X1,X16)
| p205(X16) )
& ! [X17] :
( ~ r1(X1,X17)
| p405(X17) ) )
| ( p301(X1)
& p101(X1) )
| ( p602(X1)
& p302(X1) )
| ( ! [X37] :
( ~ r1(X1,X37)
| p104(X37) )
& ! [X38] :
( ~ r1(X1,X38)
| p304(X38) ) )
| ( ! [X41] :
( p102(X41)
| ~ r1(X1,X41) )
& p202(X1) )
| ( ! [X29] :
( p305(X29)
| ~ r1(X1,X29) )
& p505(X1) )
| ( ! [X49] :
( ~ r1(X1,X49)
| p204(X49) )
& p504(X1) )
| ( p603(X1)
& p503(X1) )
| ( ! [X5] :
( ~ r1(X1,X5)
| p204(X5) )
& p404(X1) )
| ( p602(X1)
& p502(X1) )
| ( ! [X18] :
( p305(X18)
| ~ r1(X1,X18) )
& ! [X19] :
( p105(X19)
| ~ r1(X1,X19) ) )
| ( p202(X1)
& p602(X1) )
| ( p303(X1)
& ! [X9] :
( ~ r1(X1,X9)
| p203(X9) ) )
| ( ! [X50] :
( p205(X50)
| ~ r1(X1,X50) )
& p605(X1) )
| ( p502(X1)
& p202(X1) )
| ( ! [X28] :
( p304(X28)
| ~ r1(X1,X28) )
& ! [X27] :
( p204(X27)
| ~ r1(X1,X27) ) )
| ( p503(X1)
& ! [X43] :
( p103(X43)
| ~ r1(X1,X43) ) )
| ( p303(X1)
& ! [X39] :
( p103(X39)
| ~ r1(X1,X39) ) )
| ( p505(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p105(X2) ) )
| ( ! [X24] :
( ~ r1(X1,X24)
| p104(X24) )
& p404(X1) ) ) )
| ~ ( ( p201(X0)
| ! [X59] :
( p203(X59)
| ~ r1(X0,X59) )
| ! [X58] :
( ~ r1(X0,X58)
| p204(X58) )
| p202(X0)
| ! [X57] :
( ~ r1(X0,X57)
| p205(X57) ) )
& ( p603(X0)
| p602(X0)
| p601(X0)
| p604(X0)
| p605(X0) )
& ( ! [X54] :
( p103(X54)
| ~ r1(X0,X54) )
| ! [X53] :
( ~ r1(X0,X53)
| p104(X53) )
| ! [X56] :
( p105(X56)
| ~ r1(X0,X56) )
| p101(X0)
| ! [X55] :
( ~ r1(X0,X55)
| p102(X55) ) )
& ( p505(X0)
| p504(X0)
| p502(X0)
| p501(X0)
| p503(X0) )
& ( p402(X0)
| p401(X0)
| ! [X52] :
( p405(X52)
| ~ r1(X0,X52) )
| p404(X0)
| p403(X0) )
& ( ! [X60] :
( p304(X60)
| ~ r1(X0,X60) )
| p302(X0)
| p301(X0)
| p303(X0)
| ! [X61] :
( p305(X61)
| ~ r1(X0,X61) ) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p601(X1)
& p301(X1) )
| ( ! [X40] :
( p203(X40)
| ~ r1(X1,X40) )
& p603(X1) )
| ( p503(X1)
& ! [X47] :
( ~ r1(X1,X47)
| p203(X47) ) )
| ( p601(X1)
& p401(X1) )
| ( ! [X15] :
( p104(X15)
| ~ r1(X1,X15) )
& p604(X1) )
| ( ! [X3] :
( p204(X3)
| ~ r1(X1,X3) )
& ! [X4] :
( ~ r1(X1,X4)
| p104(X4) ) )
| ( ! [X31] :
( p103(X31)
| ~ r1(X1,X31) )
& p403(X1) )
| ( p303(X1)
& p603(X1) )
| ( ! [X23] :
( p305(X23)
| ~ r1(X1,X23) )
& p605(X1) )
| ( ! [X46] :
( ~ r1(X1,X46)
| p204(X46) )
& p604(X1) )
| ( p403(X1)
& p503(X1) )
| ( ! [X13] :
( ~ r1(X1,X13)
| p103(X13) )
& p603(X1) )
| ( ! [X42] :
( p405(X42)
| ~ r1(X1,X42) )
& p605(X1) )
| ( p602(X1)
& ! [X26] :
( p102(X26)
| ~ r1(X1,X26) ) )
| ( p201(X1)
& p101(X1) )
| ( p604(X1)
& p504(X1) )
| ( p202(X1)
& p402(X1) )
| ( ! [X8] :
( p102(X8)
| ~ r1(X1,X8) )
& p302(X1) )
| ( p403(X1)
& p303(X1) )
| ( p101(X1)
& p601(X1) )
| ( ! [X32] :
( p203(X32)
| ~ r1(X1,X32) )
& ! [X33] :
( p103(X33)
| ~ r1(X1,X33) ) )
| ( p403(X1)
& p603(X1) )
| ( p504(X1)
& p404(X1) )
| ( p505(X1)
& ! [X6] :
( ~ r1(X1,X6)
| p205(X6) ) )
| ( p404(X1)
& ! [X22] :
( ~ r1(X1,X22)
| p304(X22) ) )
| ( ! [X10] :
( ~ r1(X1,X10)
| p105(X10) )
& ! [X11] :
( p205(X11)
| ~ r1(X1,X11) ) )
| ( p602(X1)
& p402(X1) )
| ( p401(X1)
& p201(X1) )
| ( ! [X25] :
( ~ r1(X1,X25)
| p102(X25) )
& p502(X1) )
| ( p501(X1)
& p601(X1) )
| ( ! [X7] :
( p203(X7)
| ~ r1(X1,X7) )
& p403(X1) )
| ( p402(X1)
& p302(X1) )
| ( p201(X1)
& p501(X1) )
| ( p201(X1)
& p601(X1) )
| ( ! [X34] :
( p405(X34)
| ~ r1(X1,X34) )
& p505(X1) )
| ( p504(X1)
& ! [X12] :
( ~ r1(X1,X12)
| p104(X12) ) )
| ( p302(X1)
& p502(X1) )
| ( p401(X1)
& p301(X1) )
| ( ! [X21] :
( ~ r1(X1,X21)
| p305(X21) )
& ! [X20] :
( p205(X20)
| ~ r1(X1,X20) ) )
| ( p101(X1)
& p401(X1) )
| ( p503(X1)
& p303(X1) )
| ( p605(X1)
& p505(X1) )
| ( p504(X1)
& ! [X30] :
( p304(X30)
| ~ r1(X1,X30) ) )
| ( p501(X1)
& p301(X1) )
| ( p604(X1)
& ! [X51] :
( ~ r1(X1,X51)
| p304(X51) ) )
| ( ! [X36] :
( ~ r1(X1,X36)
| p405(X36) )
& ! [X35] :
( ~ r1(X1,X35)
| p105(X35) ) )
| ( p301(X1)
& p201(X1) )
| ( p501(X1)
& p401(X1) )
| ( p101(X1)
& p501(X1) )
| ( p402(X1)
& ! [X14] :
( ~ r1(X1,X14)
| p102(X14) ) )
| ( p404(X1)
& p604(X1) )
| ( ! [X44] :
( ~ r1(X1,X44)
| p405(X44) )
& ! [X45] :
( p305(X45)
| ~ r1(X1,X45) ) )
| ( p605(X1)
& ! [X48] :
( p105(X48)
| ~ r1(X1,X48) ) )
| ( p202(X1)
& p302(X1) )
| ( p502(X1)
& p402(X1) )
| ( ! [X16] :
( ~ r1(X1,X16)
| p205(X16) )
& ! [X17] :
( ~ r1(X1,X17)
| p405(X17) ) )
| ( p301(X1)
& p101(X1) )
| ( p602(X1)
& p302(X1) )
| ( ! [X37] :
( ~ r1(X1,X37)
| p104(X37) )
& ! [X38] :
( ~ r1(X1,X38)
| p304(X38) ) )
| ( ! [X41] :
( p102(X41)
| ~ r1(X1,X41) )
& p202(X1) )
| ( ! [X29] :
( p305(X29)
| ~ r1(X1,X29) )
& p505(X1) )
| ( ! [X49] :
( ~ r1(X1,X49)
| p204(X49) )
& p504(X1) )
| ( p603(X1)
& p503(X1) )
| ( ! [X5] :
( ~ r1(X1,X5)
| p204(X5) )
& p404(X1) )
| ( p602(X1)
& p502(X1) )
| ( ! [X18] :
( p305(X18)
| ~ r1(X1,X18) )
& ! [X19] :
( p105(X19)
| ~ r1(X1,X19) ) )
| ( p202(X1)
& p602(X1) )
| ( p303(X1)
& ! [X9] :
( ~ r1(X1,X9)
| p203(X9) ) )
| ( ! [X50] :
( p205(X50)
| ~ r1(X1,X50) )
& p605(X1) )
| ( p502(X1)
& p202(X1) )
| ( ! [X28] :
( p304(X28)
| ~ r1(X1,X28) )
& ! [X27] :
( p204(X27)
| ~ r1(X1,X27) ) )
| ( p503(X1)
& ! [X43] :
( p103(X43)
| ~ r1(X1,X43) ) )
| ( p303(X1)
& ! [X39] :
( p103(X39)
| ~ r1(X1,X39) ) )
| ( p505(X1)
& ! [X2] :
( ~ r1(X1,X2)
| p105(X2) ) )
| ( ! [X24] :
( ~ r1(X1,X24)
| p104(X24) )
& p404(X1) ) ) )
| ~ ( ( p201(X0)
| ! [X59] :
( p203(X59)
| ~ r1(X0,X59) )
| ! [X58] :
( ~ r1(X0,X58)
| p204(X58) )
| p202(X0)
| ! [X57] :
( ~ r1(X0,X57)
| p205(X57) ) )
& ( p603(X0)
| p602(X0)
| p601(X0)
| p604(X0)
| p605(X0) )
& ( ! [X54] :
( p103(X54)
| ~ r1(X0,X54) )
| ! [X53] :
( ~ r1(X0,X53)
| p104(X53) )
| ! [X56] :
( p105(X56)
| ~ r1(X0,X56) )
| p101(X0)
| ! [X55] :
( ~ r1(X0,X55)
| p102(X55) ) )
& ( p505(X0)
| p504(X0)
| p502(X0)
| p501(X0)
| p503(X0) )
& ( p402(X0)
| p401(X0)
| ! [X52] :
( p405(X52)
| ~ r1(X0,X52) )
| p404(X0)
| p403(X0) )
& ( ! [X60] :
( p304(X60)
| ~ r1(X0,X60) )
| p302(X0)
| p301(X0)
| p303(X0)
| ! [X61] :
( p305(X61)
| ~ r1(X0,X61) ) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p501(X1)
& p601(X1) )
| ( p505(X1)
& ! [X0] :
( p105(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p204(X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p104(X0) ) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p205(X0) )
& p505(X1) )
| ( p602(X1)
& p402(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p403(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p302(X1) )
| ( p402(X1)
& p302(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p205(X0) ) )
| ( p202(X1)
& p402(X1) )
| ( p501(X1)
& p301(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p104(X0) )
& p504(X1) )
| ( p604(X1)
& p504(X1) )
| ( p603(X1)
& ! [X0] :
( p103(X0)
| ~ r1(X1,X0) ) )
| ( p402(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p102(X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p104(X0) )
& p604(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p205(X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p105(X0) ) )
| ( p202(X1)
& p602(X1) )
| ( p302(X1)
& p502(X1) )
| ( p601(X1)
& p301(X1) )
| ( p502(X1)
& p202(X1) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p305(X0) ) )
| ( p404(X1)
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( p404(X1)
& ! [X0] :
( p104(X0)
| ~ r1(X1,X0) ) )
| ( p502(X1)
& ! [X0] :
( p102(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p602(X1) )
| ( p403(X1)
& p603(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p204(X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( p502(X1)
& p402(X1) )
| ( p505(X1)
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p304(X0) )
& p504(X1) )
| ( p602(X1)
& p502(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p103(X0) )
& p403(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p103(X0)
| ~ r1(X1,X0) ) )
| ( p404(X1)
& p604(X1) )
| ( p101(X1)
& p401(X1) )
| ( p201(X1)
& p101(X1) )
| ( p505(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p405(X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p405(X0) ) )
| ( p201(X1)
& p601(X1) )
| ( p602(X1)
& p302(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p104(X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( p303(X1)
& ! [X0] :
( p103(X0)
| ~ r1(X1,X0) ) )
| ( p503(X1)
& p303(X1) )
| ( p603(X1)
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( p301(X1)
& p101(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p202(X1) )
| ( p202(X1)
& p302(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( p503(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p103(X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p405(X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p305(X0) ) )
| ( p603(X1)
& p503(X1) )
| ( p401(X1)
& p301(X1) )
| ( p101(X1)
& p501(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( p101(X1)
& p601(X1) )
| ( p301(X1)
& p201(X1) )
| ( p401(X1)
& p201(X1) )
| ( p605(X1)
& p505(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p203(X0) )
& p503(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p105(X0) )
& p605(X1) )
| ( p201(X1)
& p501(X1) )
| ( p403(X1)
& p303(X1) )
| ( p303(X1)
& p603(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( p403(X1)
& p503(X1) )
| ( p504(X1)
& p404(X1) )
| ( p501(X1)
& p401(X1) )
| ( p601(X1)
& p401(X1) )
| ( p605(X1)
& ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p304(X0) )
& p604(X1) ) ) )
| ~ ( ( p505(X0)
| p504(X0)
| p502(X0)
| p501(X0)
| p503(X0) )
& ( p403(X0)
| p401(X0)
| p404(X0)
| p402(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p405(X1) ) )
& ( p603(X0)
| p602(X0)
| p601(X0)
| p604(X0)
| p605(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p104(X1) )
| p101(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p103(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p102(X1) )
| ! [X1] :
( p105(X1)
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p205(X1) )
| p201(X0)
| p202(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p204(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p203(X1) ) )
& ( p301(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p304(X1) )
| p302(X0)
| ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
| p303(X0) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ( ( p501(X1)
& p601(X1) )
| ( p505(X1)
& ! [X0] :
( p105(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p204(X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p104(X0) ) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p404(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p205(X0) )
& p505(X1) )
| ( p602(X1)
& p402(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p403(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p302(X1) )
| ( p402(X1)
& p302(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& p303(X1) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p205(X0) ) )
| ( p202(X1)
& p402(X1) )
| ( p501(X1)
& p301(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p104(X0) )
& p504(X1) )
| ( p604(X1)
& p504(X1) )
| ( p603(X1)
& ! [X0] :
( p103(X0)
| ~ r1(X1,X0) ) )
| ( p402(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p102(X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p104(X0) )
& p604(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p205(X0) )
& ! [X0] :
( p405(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p105(X0) ) )
| ( p202(X1)
& p602(X1) )
| ( p302(X1)
& p502(X1) )
| ( p601(X1)
& p301(X1) )
| ( p502(X1)
& p202(X1) )
| ( ! [X0] :
( p205(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p305(X0) ) )
| ( p404(X1)
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p305(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( p404(X1)
& ! [X0] :
( p104(X0)
| ~ r1(X1,X0) ) )
| ( p502(X1)
& ! [X0] :
( p102(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p602(X1) )
| ( p403(X1)
& p603(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p204(X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( p502(X1)
& p402(X1) )
| ( p505(X1)
& ! [X0] :
( p305(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p304(X0) )
& p504(X1) )
| ( p602(X1)
& p502(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p103(X0) )
& p403(X1) )
| ( ! [X0] :
( p203(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( p103(X0)
| ~ r1(X1,X0) ) )
| ( p404(X1)
& p604(X1) )
| ( p101(X1)
& p401(X1) )
| ( p201(X1)
& p101(X1) )
| ( p505(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p405(X0) ) )
| ( ! [X0] :
( p105(X0)
| ~ r1(X1,X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p405(X0) ) )
| ( p201(X1)
& p601(X1) )
| ( p602(X1)
& p302(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p104(X0) )
& ! [X0] :
( p304(X0)
| ~ r1(X1,X0) ) )
| ( p303(X1)
& ! [X0] :
( p103(X0)
| ~ r1(X1,X0) ) )
| ( p503(X1)
& p303(X1) )
| ( p603(X1)
& ! [X0] :
( p203(X0)
| ~ r1(X1,X0) ) )
| ( p301(X1)
& p101(X1) )
| ( ! [X0] :
( p102(X0)
| ~ r1(X1,X0) )
& p202(X1) )
| ( p202(X1)
& p302(X1) )
| ( ! [X0] :
( p405(X0)
| ~ r1(X1,X0) )
& p605(X1) )
| ( p503(X1)
& ! [X0] :
( ~ r1(X1,X0)
| p103(X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p405(X0) )
& ! [X0] :
( ~ r1(X1,X0)
| p305(X0) ) )
| ( p603(X1)
& p503(X1) )
| ( p401(X1)
& p301(X1) )
| ( p101(X1)
& p501(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p604(X1) )
| ( p101(X1)
& p601(X1) )
| ( p301(X1)
& p201(X1) )
| ( p401(X1)
& p201(X1) )
| ( p605(X1)
& p505(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p203(X0) )
& p503(X1) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p105(X0) )
& p605(X1) )
| ( p201(X1)
& p501(X1) )
| ( p403(X1)
& p303(X1) )
| ( p303(X1)
& p603(X1) )
| ( ! [X0] :
( p204(X0)
| ~ r1(X1,X0) )
& p504(X1) )
| ( p403(X1)
& p503(X1) )
| ( p504(X1)
& p404(X1) )
| ( p501(X1)
& p401(X1) )
| ( p601(X1)
& p401(X1) )
| ( p605(X1)
& ! [X0] :
( p205(X0)
| ~ r1(X1,X0) ) )
| ( ! [X0] :
( ~ r1(X1,X0)
| p304(X0) )
& p604(X1) ) ) )
| ~ ( ( p505(X0)
| p504(X0)
| p502(X0)
| p501(X0)
| p503(X0) )
& ( p403(X0)
| p401(X0)
| p404(X0)
| p402(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p405(X1) ) )
& ( p603(X0)
| p602(X0)
| p601(X0)
| p604(X0)
| p605(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p104(X1) )
| p101(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p103(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p102(X1) )
| ! [X1] :
( p105(X1)
| ~ r1(X0,X1) ) )
& ( ! [X1] :
( ~ r1(X0,X1)
| p205(X1) )
| p201(X0)
| p202(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p204(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p203(X1) ) )
& ( p301(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p304(X1) )
| p302(X0)
| ! [X1] :
( p305(X1)
| ~ r1(X0,X1) )
| p303(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f407,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f248,plain,
! [X0] :
( ~ sP40(X0)
| sP21(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0] :
( ( ( ~ p302(X0)
| ~ p502(X0) )
& sP39(X0)
& ( ~ p303(X0)
| ~ p403(X0) )
& ( ~ p401(X0)
| ~ p201(X0) )
& sP38(X0)
& sP37(X0)
& sP36(X0)
& ( ~ p602(X0)
| ~ p502(X0) )
& ( ~ p101(X0)
| ~ p301(X0) )
& sP35(X0)
& sP34(X0)
& sP33(X0)
& sP32(X0)
& ( ~ p505(X0)
| ~ p605(X0) )
& sP9(X0)
& sP31(X0)
& ( ~ p401(X0)
| ~ p501(X0) )
& sP8(X0)
& ( ~ p602(X0)
| ~ p402(X0) )
& ( ~ p603(X0)
| ~ p303(X0) )
& sP30(X0)
& ( ~ p502(X0)
| ~ p402(X0) )
& ( ~ p502(X0)
| ~ p202(X0) )
& ( ~ p601(X0)
| ~ p201(X0) )
& ( ~ p202(X0)
| ~ p602(X0) )
& ( ~ p303(X0)
| ~ p503(X0) )
& sP29(X0)
& ( ~ p601(X0)
| ~ p501(X0) )
& ( ~ p501(X0)
| ~ p301(X0) )
& sP7(X0)
& ( ~ p602(X0)
| ~ p302(X0) )
& ( ~ p501(X0)
| ~ p201(X0) )
& sP28(X0)
& sP6(X0)
& ( ~ p301(X0)
| ~ p401(X0) )
& sP27(X0)
& sP5(X0)
& ( ~ p301(X0)
| ~ p601(X0) )
& sP26(X0)
& ( ~ p402(X0)
| ~ p202(X0) )
& sP25(X0)
& ( ~ p404(X0)
| ~ p504(X0) )
& sP4(X0)
& sP24(X0)
& ( ~ p202(X0)
| ~ p302(X0) )
& sP3(X0)
& sP23(X0)
& ( ~ p201(X0)
| ~ p301(X0) )
& sP22(X0)
& ( ~ p504(X0)
| ~ p604(X0) )
& ( ~ p503(X0)
| ~ p403(X0) )
& sP21(X0)
& sP20(X0)
& ( ~ p601(X0)
| ~ p401(X0) )
& sP2(X0)
& sP19(X0)
& sP18(X0)
& ( ~ p603(X0)
| ~ p403(X0) )
& sP17(X0)
& sP16(X0)
& sP15(X0)
& ( ~ p101(X0)
| ~ p501(X0) )
& sP1(X0)
& sP14(X0)
& sP13(X0)
& ( ~ p101(X0)
| ~ p401(X0) )
& sP12(X0)
& ( ~ p604(X0)
| ~ p404(X0) )
& ( ~ p503(X0)
| ~ p603(X0) )
& sP11(X0)
& ( ~ p302(X0)
| ~ p402(X0) )
& ( ~ p201(X0)
| ~ p101(X0) )
& sP0(X0)
& ( ~ p101(X0)
| ~ p601(X0) )
& sP10(X0) )
| ~ sP40(X0) ),
inference(rectify,[],[f50]) ).
fof(f50,plain,
! [X1] :
( ( ( ~ p302(X1)
| ~ p502(X1) )
& sP39(X1)
& ( ~ p303(X1)
| ~ p403(X1) )
& ( ~ p401(X1)
| ~ p201(X1) )
& sP38(X1)
& sP37(X1)
& sP36(X1)
& ( ~ p602(X1)
| ~ p502(X1) )
& ( ~ p101(X1)
| ~ p301(X1) )
& sP35(X1)
& sP34(X1)
& sP33(X1)
& sP32(X1)
& ( ~ p505(X1)
| ~ p605(X1) )
& sP9(X1)
& sP31(X1)
& ( ~ p401(X1)
| ~ p501(X1) )
& sP8(X1)
& ( ~ p602(X1)
| ~ p402(X1) )
& ( ~ p603(X1)
| ~ p303(X1) )
& sP30(X1)
& ( ~ p502(X1)
| ~ p402(X1) )
& ( ~ p502(X1)
| ~ p202(X1) )
& ( ~ p601(X1)
| ~ p201(X1) )
& ( ~ p202(X1)
| ~ p602(X1) )
& ( ~ p303(X1)
| ~ p503(X1) )
& sP29(X1)
& ( ~ p601(X1)
| ~ p501(X1) )
& ( ~ p501(X1)
| ~ p301(X1) )
& sP7(X1)
& ( ~ p602(X1)
| ~ p302(X1) )
& ( ~ p501(X1)
| ~ p201(X1) )
& sP28(X1)
& sP6(X1)
& ( ~ p301(X1)
| ~ p401(X1) )
& sP27(X1)
& sP5(X1)
& ( ~ p301(X1)
| ~ p601(X1) )
& sP26(X1)
& ( ~ p402(X1)
| ~ p202(X1) )
& sP25(X1)
& ( ~ p404(X1)
| ~ p504(X1) )
& sP4(X1)
& sP24(X1)
& ( ~ p202(X1)
| ~ p302(X1) )
& sP3(X1)
& sP23(X1)
& ( ~ p201(X1)
| ~ p301(X1) )
& sP22(X1)
& ( ~ p504(X1)
| ~ p604(X1) )
& ( ~ p503(X1)
| ~ p403(X1) )
& sP21(X1)
& sP20(X1)
& ( ~ p601(X1)
| ~ p401(X1) )
& sP2(X1)
& sP19(X1)
& sP18(X1)
& ( ~ p603(X1)
| ~ p403(X1) )
& sP17(X1)
& sP16(X1)
& sP15(X1)
& ( ~ p101(X1)
| ~ p501(X1) )
& sP1(X1)
& sP14(X1)
& sP13(X1)
& ( ~ p101(X1)
| ~ p401(X1) )
& sP12(X1)
& ( ~ p604(X1)
| ~ p404(X1) )
& ( ~ p503(X1)
| ~ p603(X1) )
& sP11(X1)
& ( ~ p302(X1)
| ~ p402(X1) )
& ( ~ p201(X1)
| ~ p101(X1) )
& sP0(X1)
& ( ~ p101(X1)
| ~ p601(X1) )
& sP10(X1) )
| ~ sP40(X1) ),
inference(nnf_transformation,[],[f48]) ).
fof(f9265,plain,
( ~ sP21(sK91)
| ~ spl92_5
| ~ spl92_7 ),
inference(subsumption_resolution,[],[f9264,f433]) ).
fof(f433,plain,
( p504(sK91)
| ~ spl92_7 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f431,plain,
( spl92_7
<=> p504(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_7])]) ).
fof(f9264,plain,
( ~ p504(sK91)
| ~ sP21(sK91)
| ~ spl92_5
| ~ spl92_7 ),
inference(resolution,[],[f9243,f337]) ).
fof(f337,plain,
! [X0] :
( ~ p204(sK59(X0))
| ~ p504(X0)
| ~ sP21(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ~ p504(X0)
| ( ~ p204(sK59(X0))
& r1(X0,sK59(X0)) )
| ~ sP21(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f125,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK59(X0))
& r1(X0,sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0] :
( ~ p504(X0)
| ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ~ sP21(X0) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X1] :
( ~ p504(X1)
| ? [X49] :
( ~ p204(X49)
& r1(X1,X49) )
| ~ sP21(X1) ),
inference(nnf_transformation,[],[f29]) ).
fof(f9243,plain,
( p204(sK59(sK91))
| ~ spl92_5
| ~ spl92_7 ),
inference(resolution,[],[f424,f9091]) ).
fof(f9091,plain,
( r1(sK91,sK59(sK91))
| ~ spl92_7 ),
inference(subsumption_resolution,[],[f9089,f541]) ).
fof(f9089,plain,
( r1(sK91,sK59(sK91))
| ~ sP21(sK91)
| ~ spl92_7 ),
inference(resolution,[],[f433,f336]) ).
fof(f336,plain,
! [X0] :
( ~ p504(X0)
| ~ sP21(X0)
| r1(X0,sK59(X0)) ),
inference(cnf_transformation,[],[f127]) ).
fof(f424,plain,
( ! [X6] :
( ~ r1(sK91,X6)
| p204(X6) )
| ~ spl92_5 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f423,plain,
( spl92_5
<=> ! [X6] :
( ~ r1(sK91,X6)
| p204(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_5])]) ).
fof(f9088,plain,
( spl92_159
| ~ spl92_344 ),
inference(avatar_contradiction_clause,[],[f9087]) ).
fof(f9087,plain,
( $false
| spl92_159
| ~ spl92_344 ),
inference(subsumption_resolution,[],[f9086,f2772]) ).
fof(f2772,plain,
( ~ r1(sK91,sK87(sK91))
| spl92_159 ),
inference(avatar_component_clause,[],[f2771]) ).
fof(f2771,plain,
( spl92_159
<=> r1(sK91,sK87(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_159])]) ).
fof(f9086,plain,
( r1(sK91,sK87(sK91))
| ~ spl92_344 ),
inference(subsumption_resolution,[],[f9083,f533]) ).
fof(f533,plain,
sP1(sK91),
inference(resolution,[],[f237,f524]) ).
fof(f237,plain,
! [X0] :
( ~ sP40(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f9083,plain,
( ~ sP1(sK91)
| r1(sK91,sK87(sK91))
| ~ spl92_344 ),
inference(resolution,[],[f9073,f393]) ).
fof(f393,plain,
! [X0] :
( ~ p305(sK88(X0))
| ~ sP1(X0)
| r1(X0,sK87(X0)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ( ~ p405(sK87(X0))
& r1(X0,sK87(X0)) )
| ( ~ p305(sK88(X0))
& r1(X0,sK88(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88])],[f213,f215,f214]) ).
fof(f214,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
=> ( ~ p405(sK87(X0))
& r1(X0,sK87(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
! [X0] :
( ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
=> ( ~ p305(sK88(X0))
& r1(X0,sK88(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
| ~ sP1(X0) ),
inference(rectify,[],[f212]) ).
fof(f212,plain,
! [X1] :
( ? [X44] :
( ~ p405(X44)
& r1(X1,X44) )
| ? [X45] :
( ~ p305(X45)
& r1(X1,X45) )
| ~ sP1(X1) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9073,plain,
( p305(sK88(sK91))
| ~ spl92_344 ),
inference(avatar_component_clause,[],[f9071]) ).
fof(f9071,plain,
( spl92_344
<=> p305(sK88(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_344])]) ).
fof(f9074,plain,
( spl92_344
| spl92_159
| ~ spl92_18 ),
inference(avatar_split_clause,[],[f9069,f473,f2771,f9071]) ).
fof(f473,plain,
( spl92_18
<=> ! [X9] :
( p305(X9)
| ~ r1(sK91,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_18])]) ).
fof(f9069,plain,
( r1(sK91,sK87(sK91))
| p305(sK88(sK91))
| ~ spl92_18 ),
inference(subsumption_resolution,[],[f8830,f533]) ).
fof(f8830,plain,
( p305(sK88(sK91))
| ~ sP1(sK91)
| r1(sK91,sK87(sK91))
| ~ spl92_18 ),
inference(resolution,[],[f474,f392]) ).
fof(f392,plain,
! [X0] :
( r1(X0,sK88(X0))
| ~ sP1(X0)
| r1(X0,sK87(X0)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f474,plain,
( ! [X9] :
( ~ r1(sK91,X9)
| p305(X9) )
| ~ spl92_18 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f9068,plain,
( ~ spl92_18
| ~ spl92_29
| ~ spl92_159 ),
inference(avatar_contradiction_clause,[],[f9067]) ).
fof(f9067,plain,
( $false
| ~ spl92_18
| ~ spl92_29
| ~ spl92_159 ),
inference(subsumption_resolution,[],[f9066,f533]) ).
fof(f9066,plain,
( ~ sP1(sK91)
| ~ spl92_18
| ~ spl92_29
| ~ spl92_159 ),
inference(subsumption_resolution,[],[f9065,f8928]) ).
fof(f8928,plain,
( p405(sK87(sK91))
| ~ spl92_29
| ~ spl92_159 ),
inference(resolution,[],[f518,f2773]) ).
fof(f2773,plain,
( r1(sK91,sK87(sK91))
| ~ spl92_159 ),
inference(avatar_component_clause,[],[f2771]) ).
fof(f518,plain,
( ! [X11] :
( ~ r1(sK91,X11)
| p405(X11) )
| ~ spl92_29 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f517,plain,
( spl92_29
<=> ! [X11] :
( p405(X11)
| ~ r1(sK91,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_29])]) ).
fof(f9065,plain,
( ~ p405(sK87(sK91))
| ~ sP1(sK91)
| ~ spl92_18
| ~ spl92_29
| ~ spl92_159 ),
inference(resolution,[],[f9062,f395]) ).
fof(f395,plain,
! [X0] :
( ~ p305(sK88(X0))
| ~ sP1(X0)
| ~ p405(sK87(X0)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f9062,plain,
( p305(sK88(sK91))
| ~ spl92_18
| ~ spl92_29
| ~ spl92_159 ),
inference(resolution,[],[f9059,f474]) ).
fof(f9059,plain,
( r1(sK91,sK88(sK91))
| ~ spl92_29
| ~ spl92_159 ),
inference(subsumption_resolution,[],[f9058,f533]) ).
fof(f9058,plain,
( ~ sP1(sK91)
| r1(sK91,sK88(sK91))
| ~ spl92_29
| ~ spl92_159 ),
inference(resolution,[],[f8928,f394]) ).
fof(f394,plain,
! [X0] :
( ~ p405(sK87(X0))
| ~ sP1(X0)
| r1(X0,sK88(X0)) ),
inference(cnf_transformation,[],[f216]) ).
fof(f8837,plain,
( ~ spl92_10
| ~ spl92_18 ),
inference(avatar_contradiction_clause,[],[f8836]) ).
fof(f8836,plain,
( $false
| ~ spl92_10
| ~ spl92_18 ),
inference(subsumption_resolution,[],[f8835,f445]) ).
fof(f445,plain,
( p505(sK91)
| ~ spl92_10 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f443,plain,
( spl92_10
<=> p505(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_10])]) ).
fof(f8835,plain,
( ~ p505(sK91)
| ~ spl92_10
| ~ spl92_18 ),
inference(subsumption_resolution,[],[f8834,f527]) ).
fof(f527,plain,
sP10(sK91),
inference(resolution,[],[f225,f524]) ).
fof(f225,plain,
! [X0] :
( ~ sP40(X0)
| sP10(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f8834,plain,
( ~ sP10(sK91)
| ~ p505(sK91)
| ~ spl92_10
| ~ spl92_18 ),
inference(resolution,[],[f8813,f359]) ).
fof(f359,plain,
! [X0] :
( ~ p305(sK70(X0))
| ~ p505(X0)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ~ p505(X0)
| ( ~ p305(sK70(X0))
& r1(X0,sK70(X0)) )
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f169,f170]) ).
fof(f170,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
=> ( ~ p305(sK70(X0))
& r1(X0,sK70(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0] :
( ~ p505(X0)
| ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X1] :
( ~ p505(X1)
| ? [X29] :
( ~ p305(X29)
& r1(X1,X29) )
| ~ sP10(X1) ),
inference(nnf_transformation,[],[f18]) ).
fof(f8813,plain,
( p305(sK70(sK91))
| ~ spl92_10
| ~ spl92_18 ),
inference(resolution,[],[f474,f8619]) ).
fof(f8619,plain,
( r1(sK91,sK70(sK91))
| ~ spl92_10 ),
inference(subsumption_resolution,[],[f8611,f527]) ).
fof(f8611,plain,
( ~ sP10(sK91)
| r1(sK91,sK70(sK91))
| ~ spl92_10 ),
inference(resolution,[],[f445,f358]) ).
fof(f358,plain,
! [X0] :
( ~ p505(X0)
| r1(X0,sK70(X0))
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f8606,plain,
( ~ spl92_7
| ~ spl92_25 ),
inference(avatar_split_clause,[],[f8605,f500,f431]) ).
fof(f500,plain,
( spl92_25
<=> p604(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_25])]) ).
fof(f8605,plain,
( ~ p504(sK91)
| ~ spl92_25 ),
inference(subsumption_resolution,[],[f8386,f524]) ).
fof(f8386,plain,
( ~ sP40(sK91)
| ~ p504(sK91)
| ~ spl92_25 ),
inference(resolution,[],[f502,f250]) ).
fof(f250,plain,
! [X0] :
( ~ p604(X0)
| ~ p504(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f502,plain,
( p604(sK91)
| ~ spl92_25 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f8604,plain,
( ~ spl92_1
| ~ spl92_15 ),
inference(avatar_contradiction_clause,[],[f8603]) ).
fof(f8603,plain,
( $false
| ~ spl92_1
| ~ spl92_15 ),
inference(subsumption_resolution,[],[f8602,f566]) ).
fof(f566,plain,
sP39(sK91),
inference(resolution,[],[f298,f524]) ).
fof(f298,plain,
! [X0] :
( ~ sP40(X0)
| sP39(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f8602,plain,
( ~ sP39(sK91)
| ~ spl92_1
| ~ spl92_15 ),
inference(subsumption_resolution,[],[f8601,f411]) ).
fof(f411,plain,
( p202(sK91)
| ~ spl92_1 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f409,plain,
( spl92_1
<=> p202(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_1])]) ).
fof(f8601,plain,
( ~ p202(sK91)
| ~ sP39(sK91)
| ~ spl92_1
| ~ spl92_15 ),
inference(resolution,[],[f8572,f300]) ).
fof(f300,plain,
! [X0] :
( ~ p102(sK41(X0))
| ~ p202(X0)
| ~ sP39(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ p202(X0)
| ( r1(X0,sK41(X0))
& ~ p102(sK41(X0)) )
| ~ sP39(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f53,f54]) ).
fof(f54,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p102(X1) )
=> ( r1(X0,sK41(X0))
& ~ p102(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ~ p202(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p102(X1) )
| ~ sP39(X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X1] :
( ~ p202(X1)
| ? [X41] :
( r1(X1,X41)
& ~ p102(X41) )
| ~ sP39(X1) ),
inference(nnf_transformation,[],[f47]) ).
fof(f8572,plain,
( p102(sK41(sK91))
| ~ spl92_1
| ~ spl92_15 ),
inference(resolution,[],[f462,f8337]) ).
fof(f8337,plain,
( r1(sK91,sK41(sK91))
| ~ spl92_1 ),
inference(subsumption_resolution,[],[f8332,f566]) ).
fof(f8332,plain,
( r1(sK91,sK41(sK91))
| ~ sP39(sK91)
| ~ spl92_1 ),
inference(resolution,[],[f411,f301]) ).
fof(f301,plain,
! [X0] :
( ~ p202(X0)
| r1(X0,sK41(X0))
| ~ sP39(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f462,plain,
( ! [X4] :
( ~ r1(sK91,X4)
| p102(X4) )
| ~ spl92_15 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f461,plain,
( spl92_15
<=> ! [X4] :
( p102(X4)
| ~ r1(sK91,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_15])]) ).
fof(f8331,plain,
( ~ spl92_14
| ~ spl92_23 ),
inference(avatar_contradiction_clause,[],[f8330]) ).
fof(f8330,plain,
( $false
| ~ spl92_14
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f8329,f540]) ).
fof(f540,plain,
sP20(sK91),
inference(resolution,[],[f247,f524]) ).
fof(f247,plain,
! [X0] :
( ~ sP40(X0)
| sP20(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f8329,plain,
( ~ sP20(sK91)
| ~ spl92_14
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f8328,f494]) ).
fof(f494,plain,
( p603(sK91)
| ~ spl92_23 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f492,plain,
( spl92_23
<=> p603(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_23])]) ).
fof(f8328,plain,
( ~ p603(sK91)
| ~ sP20(sK91)
| ~ spl92_14
| ~ spl92_23 ),
inference(resolution,[],[f8305,f339]) ).
fof(f339,plain,
! [X0] :
( ~ p103(sK60(X0))
| ~ sP20(X0)
| ~ p603(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ~ p603(X0)
| ( ~ p103(sK60(X0))
& r1(X0,sK60(X0)) )
| ~ sP20(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60])],[f129,f130]) ).
fof(f130,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK60(X0))
& r1(X0,sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f129,plain,
! [X0] :
( ~ p603(X0)
| ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ~ sP20(X0) ),
inference(rectify,[],[f128]) ).
fof(f128,plain,
! [X1] :
( ~ p603(X1)
| ? [X13] :
( ~ p103(X13)
& r1(X1,X13) )
| ~ sP20(X1) ),
inference(nnf_transformation,[],[f28]) ).
fof(f8305,plain,
( p103(sK60(sK91))
| ~ spl92_14
| ~ spl92_23 ),
inference(resolution,[],[f459,f8162]) ).
fof(f8162,plain,
( r1(sK91,sK60(sK91))
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f8156,f540]) ).
fof(f8156,plain,
( ~ sP20(sK91)
| r1(sK91,sK60(sK91))
| ~ spl92_23 ),
inference(resolution,[],[f494,f338]) ).
fof(f338,plain,
! [X0] :
( ~ p603(X0)
| r1(X0,sK60(X0))
| ~ sP20(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f459,plain,
( ! [X1] :
( ~ r1(sK91,X1)
| p103(X1) )
| ~ spl92_14 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f458,plain,
( spl92_14
<=> ! [X1] :
( p103(X1)
| ~ r1(sK91,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_14])]) ).
fof(f8155,plain,
( ~ spl92_5
| ~ spl92_25 ),
inference(avatar_contradiction_clause,[],[f8154]) ).
fof(f8154,plain,
( $false
| ~ spl92_5
| ~ spl92_25 ),
inference(subsumption_resolution,[],[f8153,f531]) ).
fof(f531,plain,
sP13(sK91),
inference(resolution,[],[f235,f524]) ).
fof(f235,plain,
! [X0] :
( ~ sP40(X0)
| sP13(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f8153,plain,
( ~ sP13(sK91)
| ~ spl92_5
| ~ spl92_25 ),
inference(subsumption_resolution,[],[f8152,f502]) ).
fof(f8152,plain,
( ~ p604(sK91)
| ~ sP13(sK91)
| ~ spl92_5
| ~ spl92_25 ),
inference(resolution,[],[f8150,f352]) ).
fof(f352,plain,
! [X0] :
( ~ p204(sK67(X0))
| ~ sP13(X0)
| ~ p604(X0) ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ~ p604(X0)
| ( r1(X0,sK67(X0))
& ~ p204(sK67(X0)) )
| ~ sP13(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67])],[f157,f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p204(X1) )
=> ( r1(X0,sK67(X0))
& ~ p204(sK67(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ~ p604(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p204(X1) )
| ~ sP13(X0) ),
inference(rectify,[],[f156]) ).
fof(f156,plain,
! [X1] :
( ~ p604(X1)
| ? [X46] :
( r1(X1,X46)
& ~ p204(X46) )
| ~ sP13(X1) ),
inference(nnf_transformation,[],[f21]) ).
fof(f8150,plain,
( p204(sK67(sK91))
| ~ spl92_5
| ~ spl92_25 ),
inference(resolution,[],[f8061,f424]) ).
fof(f8061,plain,
( r1(sK91,sK67(sK91))
| ~ spl92_25 ),
inference(subsumption_resolution,[],[f8055,f531]) ).
fof(f8055,plain,
( r1(sK91,sK67(sK91))
| ~ sP13(sK91)
| ~ spl92_25 ),
inference(resolution,[],[f502,f353]) ).
fof(f353,plain,
! [X0] :
( ~ p604(X0)
| ~ sP13(X0)
| r1(X0,sK67(X0)) ),
inference(cnf_transformation,[],[f159]) ).
fof(f8054,plain,
( spl92_138
| ~ spl92_139 ),
inference(avatar_contradiction_clause,[],[f8053]) ).
fof(f8053,plain,
( $false
| spl92_138
| ~ spl92_139 ),
inference(subsumption_resolution,[],[f8052,f546]) ).
fof(f546,plain,
sP4(sK91),
inference(resolution,[],[f257,f524]) ).
fof(f257,plain,
! [X0] :
( ~ sP40(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f8052,plain,
( ~ sP4(sK91)
| spl92_138
| ~ spl92_139 ),
inference(subsumption_resolution,[],[f8049,f2301]) ).
fof(f2301,plain,
( ~ r1(sK91,sK81(sK91))
| spl92_138 ),
inference(avatar_component_clause,[],[f2300]) ).
fof(f2300,plain,
( spl92_138
<=> r1(sK91,sK81(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_138])]) ).
fof(f8049,plain,
( r1(sK91,sK81(sK91))
| ~ sP4(sK91)
| ~ spl92_139 ),
inference(resolution,[],[f2306,f383]) ).
fof(f383,plain,
! [X0] :
( ~ p104(sK82(X0))
| r1(X0,sK81(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ( r1(X0,sK81(X0))
& ~ p204(sK81(X0)) )
| ( ~ p104(sK82(X0))
& r1(X0,sK82(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK81,sK82])],[f198,f200,f199]) ).
fof(f199,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p204(X1) )
=> ( r1(X0,sK81(X0))
& ~ p204(sK81(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f200,plain,
! [X0] :
( ? [X2] :
( ~ p104(X2)
& r1(X0,X2) )
=> ( ~ p104(sK82(X0))
& r1(X0,sK82(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p204(X1) )
| ? [X2] :
( ~ p104(X2)
& r1(X0,X2) )
| ~ sP4(X0) ),
inference(rectify,[],[f197]) ).
fof(f197,plain,
! [X1] :
( ? [X3] :
( r1(X1,X3)
& ~ p204(X3) )
| ? [X4] :
( ~ p104(X4)
& r1(X1,X4) )
| ~ sP4(X1) ),
inference(nnf_transformation,[],[f12]) ).
fof(f2306,plain,
( p104(sK82(sK91))
| ~ spl92_139 ),
inference(avatar_component_clause,[],[f2304]) ).
fof(f2304,plain,
( spl92_139
<=> p104(sK82(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_139])]) ).
fof(f7821,plain,
( ~ spl92_11
| ~ spl92_22 ),
inference(avatar_contradiction_clause,[],[f7820]) ).
fof(f7820,plain,
( $false
| ~ spl92_11
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f7819,f532]) ).
fof(f532,plain,
sP14(sK91),
inference(resolution,[],[f236,f524]) ).
fof(f236,plain,
! [X0] :
( ~ sP40(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f7819,plain,
( ~ sP14(sK91)
| ~ spl92_11
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f7818,f490]) ).
fof(f490,plain,
( p605(sK91)
| ~ spl92_22 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl92_22
<=> p605(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_22])]) ).
fof(f7818,plain,
( ~ p605(sK91)
| ~ sP14(sK91)
| ~ spl92_11
| ~ spl92_22 ),
inference(resolution,[],[f7771,f351]) ).
fof(f351,plain,
! [X0] :
( ~ p105(sK66(X0))
| ~ p605(X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ~ p605(X0)
| ( ~ p105(sK66(X0))
& r1(X0,sK66(X0)) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f153,f154]) ).
fof(f154,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK66(X0))
& r1(X0,sK66(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f153,plain,
! [X0] :
( ~ p605(X0)
| ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ~ sP14(X0) ),
inference(rectify,[],[f152]) ).
fof(f152,plain,
! [X1] :
( ~ p605(X1)
| ? [X48] :
( ~ p105(X48)
& r1(X1,X48) )
| ~ sP14(X1) ),
inference(nnf_transformation,[],[f22]) ).
fof(f7771,plain,
( p105(sK66(sK91))
| ~ spl92_11
| ~ spl92_22 ),
inference(resolution,[],[f7720,f449]) ).
fof(f449,plain,
( ! [X3] :
( ~ r1(sK91,X3)
| p105(X3) )
| ~ spl92_11 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f448,plain,
( spl92_11
<=> ! [X3] :
( ~ r1(sK91,X3)
| p105(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_11])]) ).
fof(f7720,plain,
( r1(sK91,sK66(sK91))
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f7714,f532]) ).
fof(f7714,plain,
( r1(sK91,sK66(sK91))
| ~ sP14(sK91)
| ~ spl92_22 ),
inference(resolution,[],[f490,f350]) ).
fof(f350,plain,
! [X0] :
( ~ p605(X0)
| ~ sP14(X0)
| r1(X0,sK66(X0)) ),
inference(cnf_transformation,[],[f155]) ).
fof(f7713,plain,
( ~ spl92_5
| ~ spl92_27 ),
inference(avatar_contradiction_clause,[],[f7712]) ).
fof(f7712,plain,
( $false
| ~ spl92_5
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f7711,f547]) ).
fof(f547,plain,
sP25(sK91),
inference(resolution,[],[f259,f524]) ).
fof(f259,plain,
! [X0] :
( ~ sP40(X0)
| sP25(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f7711,plain,
( ~ sP25(sK91)
| ~ spl92_5
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f7710,f511]) ).
fof(f511,plain,
( p404(sK91)
| ~ spl92_27 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl92_27
<=> p404(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_27])]) ).
fof(f7710,plain,
( ~ p404(sK91)
| ~ sP25(sK91)
| ~ spl92_5
| ~ spl92_27 ),
inference(resolution,[],[f7623,f329]) ).
fof(f329,plain,
! [X0] :
( ~ p204(sK55(X0))
| ~ sP25(X0)
| ~ p404(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ~ p404(X0)
| ( ~ p204(sK55(X0))
& r1(X0,sK55(X0)) )
| ~ sP25(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55])],[f109,f110]) ).
fof(f110,plain,
! [X0] :
( ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
=> ( ~ p204(sK55(X0))
& r1(X0,sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X0] :
( ~ p404(X0)
| ? [X1] :
( ~ p204(X1)
& r1(X0,X1) )
| ~ sP25(X0) ),
inference(rectify,[],[f108]) ).
fof(f108,plain,
! [X1] :
( ~ p404(X1)
| ? [X5] :
( ~ p204(X5)
& r1(X1,X5) )
| ~ sP25(X1) ),
inference(nnf_transformation,[],[f33]) ).
fof(f7623,plain,
( p204(sK55(sK91))
| ~ spl92_5
| ~ spl92_27 ),
inference(resolution,[],[f7616,f424]) ).
fof(f7616,plain,
( r1(sK91,sK55(sK91))
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f7609,f547]) ).
fof(f7609,plain,
( r1(sK91,sK55(sK91))
| ~ sP25(sK91)
| ~ spl92_27 ),
inference(resolution,[],[f511,f328]) ).
fof(f328,plain,
! [X0] :
( ~ p404(X0)
| r1(X0,sK55(X0))
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f7510,plain,
( ~ spl92_11
| spl92_134 ),
inference(avatar_contradiction_clause,[],[f7509]) ).
fof(f7509,plain,
( $false
| ~ spl92_11
| spl92_134 ),
inference(subsumption_resolution,[],[f7508,f549]) ).
fof(f549,plain,
sP5(sK91),
inference(resolution,[],[f263,f524]) ).
fof(f263,plain,
! [X0] :
( ~ sP40(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f7508,plain,
( ~ sP5(sK91)
| ~ spl92_11
| spl92_134 ),
inference(subsumption_resolution,[],[f7505,f2276]) ).
fof(f2276,plain,
( ~ r1(sK91,sK79(sK91))
| spl92_134 ),
inference(avatar_component_clause,[],[f2275]) ).
fof(f2275,plain,
( spl92_134
<=> r1(sK91,sK79(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_134])]) ).
fof(f7505,plain,
( r1(sK91,sK79(sK91))
| ~ sP5(sK91)
| ~ spl92_11
| spl92_134 ),
inference(resolution,[],[f7504,f378]) ).
fof(f378,plain,
! [X0] :
( ~ p105(sK80(X0))
| ~ sP5(X0)
| r1(X0,sK79(X0)) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ( r1(X0,sK79(X0))
& ~ p305(sK79(X0)) )
| ( r1(X0,sK80(X0))
& ~ p105(sK80(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK79,sK80])],[f193,f195,f194]) ).
fof(f194,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p305(X1) )
=> ( r1(X0,sK79(X0))
& ~ p305(sK79(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0] :
( ? [X2] :
( r1(X0,X2)
& ~ p105(X2) )
=> ( r1(X0,sK80(X0))
& ~ p105(sK80(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f193,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p305(X1) )
| ? [X2] :
( r1(X0,X2)
& ~ p105(X2) )
| ~ sP5(X0) ),
inference(rectify,[],[f192]) ).
fof(f192,plain,
! [X1] :
( ? [X18] :
( r1(X1,X18)
& ~ p305(X18) )
| ? [X19] :
( r1(X1,X19)
& ~ p105(X19) )
| ~ sP5(X1) ),
inference(nnf_transformation,[],[f13]) ).
fof(f7504,plain,
( p105(sK80(sK91))
| ~ spl92_11
| spl92_134 ),
inference(subsumption_resolution,[],[f7503,f2276]) ).
fof(f7503,plain,
( r1(sK91,sK79(sK91))
| p105(sK80(sK91))
| ~ spl92_11 ),
inference(subsumption_resolution,[],[f7152,f549]) ).
fof(f7152,plain,
( ~ sP5(sK91)
| r1(sK91,sK79(sK91))
| p105(sK80(sK91))
| ~ spl92_11 ),
inference(resolution,[],[f449,f379]) ).
fof(f379,plain,
! [X0] :
( r1(X0,sK80(X0))
| ~ sP5(X0)
| r1(X0,sK79(X0)) ),
inference(cnf_transformation,[],[f196]) ).
fof(f7500,plain,
( ~ spl92_11
| ~ spl92_18
| ~ spl92_134 ),
inference(avatar_contradiction_clause,[],[f7499]) ).
fof(f7499,plain,
( $false
| ~ spl92_11
| ~ spl92_18
| ~ spl92_134 ),
inference(subsumption_resolution,[],[f7498,f7359]) ).
fof(f7359,plain,
( p305(sK79(sK91))
| ~ spl92_18
| ~ spl92_134 ),
inference(resolution,[],[f474,f2277]) ).
fof(f2277,plain,
( r1(sK91,sK79(sK91))
| ~ spl92_134 ),
inference(avatar_component_clause,[],[f2275]) ).
fof(f7498,plain,
( ~ p305(sK79(sK91))
| ~ spl92_11
| ~ spl92_18
| ~ spl92_134 ),
inference(subsumption_resolution,[],[f7497,f549]) ).
fof(f7497,plain,
( ~ sP5(sK91)
| ~ p305(sK79(sK91))
| ~ spl92_11
| ~ spl92_18
| ~ spl92_134 ),
inference(resolution,[],[f7492,f376]) ).
fof(f376,plain,
! [X0] :
( ~ p105(sK80(X0))
| ~ p305(sK79(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f7492,plain,
( p105(sK80(sK91))
| ~ spl92_11
| ~ spl92_18
| ~ spl92_134 ),
inference(resolution,[],[f7489,f449]) ).
fof(f7489,plain,
( r1(sK91,sK80(sK91))
| ~ spl92_18
| ~ spl92_134 ),
inference(subsumption_resolution,[],[f7488,f549]) ).
fof(f7488,plain,
( r1(sK91,sK80(sK91))
| ~ sP5(sK91)
| ~ spl92_18
| ~ spl92_134 ),
inference(resolution,[],[f7359,f377]) ).
fof(f377,plain,
! [X0] :
( ~ p305(sK79(X0))
| ~ sP5(X0)
| r1(X0,sK80(X0)) ),
inference(cnf_transformation,[],[f196]) ).
fof(f7379,plain,
( ~ spl92_11
| ~ spl92_147
| ~ spl92_266 ),
inference(avatar_contradiction_clause,[],[f7378]) ).
fof(f7378,plain,
( $false
| ~ spl92_11
| ~ spl92_147
| ~ spl92_266 ),
inference(subsumption_resolution,[],[f7377,f4552]) ).
fof(f4552,plain,
( p205(sK86(sK91))
| ~ spl92_266 ),
inference(avatar_component_clause,[],[f4550]) ).
fof(f4550,plain,
( spl92_266
<=> p205(sK86(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_266])]) ).
fof(f7377,plain,
( ~ p205(sK86(sK91))
| ~ spl92_11
| ~ spl92_147 ),
inference(subsumption_resolution,[],[f7376,f539]) ).
fof(f539,plain,
sP2(sK91),
inference(resolution,[],[f245,f524]) ).
fof(f245,plain,
! [X0] :
( ~ sP40(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f7376,plain,
( ~ sP2(sK91)
| ~ p205(sK86(sK91))
| ~ spl92_11
| ~ spl92_147 ),
inference(resolution,[],[f7144,f390]) ).
fof(f390,plain,
! [X0] :
( ~ p105(sK85(X0))
| ~ sP2(X0)
| ~ p205(sK86(X0)) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ( ~ p105(sK85(X0))
& r1(X0,sK85(X0)) )
| ( r1(X0,sK86(X0))
& ~ p205(sK86(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK85,sK86])],[f208,f210,f209]) ).
fof(f209,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK85(X0))
& r1(X0,sK85(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f210,plain,
! [X0] :
( ? [X2] :
( r1(X0,X2)
& ~ p205(X2) )
=> ( r1(X0,sK86(X0))
& ~ p205(sK86(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ? [X2] :
( r1(X0,X2)
& ~ p205(X2) )
| ~ sP2(X0) ),
inference(rectify,[],[f207]) ).
fof(f207,plain,
! [X1] :
( ? [X10] :
( ~ p105(X10)
& r1(X1,X10) )
| ? [X11] :
( r1(X1,X11)
& ~ p205(X11) )
| ~ sP2(X1) ),
inference(nnf_transformation,[],[f10]) ).
fof(f7144,plain,
( p105(sK85(sK91))
| ~ spl92_11
| ~ spl92_147 ),
inference(resolution,[],[f449,f2356]) ).
fof(f2356,plain,
( r1(sK91,sK85(sK91))
| ~ spl92_147 ),
inference(avatar_component_clause,[],[f2354]) ).
fof(f2354,plain,
( spl92_147
<=> r1(sK91,sK85(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_147])]) ).
fof(f7270,plain,
( ~ spl92_4
| ~ spl92_8 ),
inference(avatar_contradiction_clause,[],[f7269]) ).
fof(f7269,plain,
( $false
| ~ spl92_4
| ~ spl92_8 ),
inference(subsumption_resolution,[],[f7268,f437]) ).
fof(f437,plain,
( p501(sK91)
| ~ spl92_8 ),
inference(avatar_component_clause,[],[f435]) ).
fof(f435,plain,
( spl92_8
<=> p501(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_8])]) ).
fof(f7268,plain,
( ~ p501(sK91)
| ~ spl92_4 ),
inference(subsumption_resolution,[],[f7266,f524]) ).
fof(f7266,plain,
( ~ sP40(sK91)
| ~ p501(sK91)
| ~ spl92_4 ),
inference(resolution,[],[f421,f268]) ).
fof(f268,plain,
! [X0] :
( ~ p201(X0)
| ~ sP40(X0)
| ~ p501(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f421,plain,
( p201(sK91)
| ~ spl92_4 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f419,plain,
( spl92_4
<=> p201(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_4])]) ).
fof(f7263,plain,
( spl92_52
| ~ spl92_325 ),
inference(avatar_contradiction_clause,[],[f7262]) ).
fof(f7262,plain,
( $false
| spl92_52
| ~ spl92_325 ),
inference(subsumption_resolution,[],[f7261,f913]) ).
fof(f913,plain,
( ~ r1(sK91,sK71(sK91))
| spl92_52 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f912,plain,
( spl92_52
<=> r1(sK91,sK71(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_52])]) ).
fof(f7261,plain,
( r1(sK91,sK71(sK91))
| ~ spl92_325 ),
inference(subsumption_resolution,[],[f7260,f558]) ).
fof(f558,plain,
sP9(sK91),
inference(resolution,[],[f285,f524]) ).
fof(f285,plain,
! [X0] :
( ~ sP40(X0)
| sP9(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f7260,plain,
( ~ sP9(sK91)
| r1(sK91,sK71(sK91))
| ~ spl92_325 ),
inference(resolution,[],[f7252,f363]) ).
fof(f363,plain,
! [X0] :
( ~ p405(sK72(X0))
| r1(X0,sK71(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( r1(X0,sK71(X0))
& ~ p105(sK71(X0)) )
| ( ~ p405(sK72(X0))
& r1(X0,sK72(X0)) )
| ~ sP9(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71,sK72])],[f173,f175,f174]) ).
fof(f174,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p105(X1) )
=> ( r1(X0,sK71(X0))
& ~ p105(sK71(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
! [X0] :
( ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
=> ( ~ p405(sK72(X0))
& r1(X0,sK72(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p105(X1) )
| ? [X2] :
( ~ p405(X2)
& r1(X0,X2) )
| ~ sP9(X0) ),
inference(rectify,[],[f172]) ).
fof(f172,plain,
! [X1] :
( ? [X35] :
( r1(X1,X35)
& ~ p105(X35) )
| ? [X36] :
( ~ p405(X36)
& r1(X1,X36) )
| ~ sP9(X1) ),
inference(nnf_transformation,[],[f17]) ).
fof(f7252,plain,
( p405(sK72(sK91))
| ~ spl92_325 ),
inference(avatar_component_clause,[],[f7250]) ).
fof(f7250,plain,
( spl92_325
<=> p405(sK72(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_325])]) ).
fof(f7253,plain,
( spl92_325
| spl92_52
| ~ spl92_29 ),
inference(avatar_split_clause,[],[f7248,f517,f912,f7250]) ).
fof(f7248,plain,
( r1(sK91,sK71(sK91))
| p405(sK72(sK91))
| ~ spl92_29 ),
inference(subsumption_resolution,[],[f7173,f558]) ).
fof(f7173,plain,
( r1(sK91,sK71(sK91))
| p405(sK72(sK91))
| ~ sP9(sK91)
| ~ spl92_29 ),
inference(resolution,[],[f518,f362]) ).
fof(f362,plain,
! [X0] :
( r1(X0,sK72(X0))
| r1(X0,sK71(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f7247,plain,
( ~ spl92_11
| ~ spl92_29
| ~ spl92_52 ),
inference(avatar_contradiction_clause,[],[f7246]) ).
fof(f7246,plain,
( $false
| ~ spl92_11
| ~ spl92_29
| ~ spl92_52 ),
inference(subsumption_resolution,[],[f7240,f7239]) ).
fof(f7239,plain,
( ~ p405(sK72(sK91))
| ~ spl92_11
| ~ spl92_52 ),
inference(subsumption_resolution,[],[f7237,f558]) ).
fof(f7237,plain,
( ~ sP9(sK91)
| ~ p405(sK72(sK91))
| ~ spl92_11
| ~ spl92_52 ),
inference(resolution,[],[f7140,f361]) ).
fof(f361,plain,
! [X0] :
( ~ p105(sK71(X0))
| ~ sP9(X0)
| ~ p405(sK72(X0)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f7140,plain,
( p105(sK71(sK91))
| ~ spl92_11
| ~ spl92_52 ),
inference(resolution,[],[f449,f914]) ).
fof(f914,plain,
( r1(sK91,sK71(sK91))
| ~ spl92_52 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f7240,plain,
( p405(sK72(sK91))
| ~ spl92_11
| ~ spl92_29
| ~ spl92_52 ),
inference(resolution,[],[f7238,f518]) ).
fof(f7238,plain,
( r1(sK91,sK72(sK91))
| ~ spl92_11
| ~ spl92_52 ),
inference(subsumption_resolution,[],[f7236,f558]) ).
fof(f7236,plain,
( r1(sK91,sK72(sK91))
| ~ sP9(sK91)
| ~ spl92_11
| ~ spl92_52 ),
inference(resolution,[],[f7140,f360]) ).
fof(f360,plain,
! [X0] :
( ~ p105(sK71(X0))
| r1(X0,sK72(X0))
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f7086,plain,
( ~ spl92_15
| ~ spl92_28 ),
inference(avatar_contradiction_clause,[],[f7085]) ).
fof(f7085,plain,
( $false
| ~ spl92_15
| ~ spl92_28 ),
inference(subsumption_resolution,[],[f7084,f559]) ).
fof(f559,plain,
sP32(sK91),
inference(resolution,[],[f287,f524]) ).
fof(f287,plain,
! [X0] :
( ~ sP40(X0)
| sP32(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f7084,plain,
( ~ sP32(sK91)
| ~ spl92_15
| ~ spl92_28 ),
inference(subsumption_resolution,[],[f7083,f515]) ).
fof(f515,plain,
( p402(sK91)
| ~ spl92_28 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl92_28
<=> p402(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_28])]) ).
fof(f7083,plain,
( ~ p402(sK91)
| ~ sP32(sK91)
| ~ spl92_15
| ~ spl92_28 ),
inference(resolution,[],[f7056,f315]) ).
fof(f315,plain,
! [X0] :
( ~ p102(sK48(X0))
| ~ sP32(X0)
| ~ p402(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ~ p402(X0)
| ( ~ p102(sK48(X0))
& r1(X0,sK48(X0)) )
| ~ sP32(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48])],[f81,f82]) ).
fof(f82,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK48(X0))
& r1(X0,sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ~ p402(X0)
| ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ sP32(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X1] :
( ~ p402(X1)
| ? [X14] :
( ~ p102(X14)
& r1(X1,X14) )
| ~ sP32(X1) ),
inference(nnf_transformation,[],[f40]) ).
fof(f7056,plain,
( p102(sK48(sK91))
| ~ spl92_15
| ~ spl92_28 ),
inference(resolution,[],[f462,f7006]) ).
fof(f7006,plain,
( r1(sK91,sK48(sK91))
| ~ spl92_28 ),
inference(subsumption_resolution,[],[f7003,f559]) ).
fof(f7003,plain,
( r1(sK91,sK48(sK91))
| ~ sP32(sK91)
| ~ spl92_28 ),
inference(resolution,[],[f515,f314]) ).
fof(f314,plain,
! [X0] :
( ~ p402(X0)
| ~ sP32(X0)
| r1(X0,sK48(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f7002,plain,
( ~ spl92_10
| ~ spl92_11 ),
inference(avatar_contradiction_clause,[],[f7001]) ).
fof(f7001,plain,
( $false
| ~ spl92_10
| ~ spl92_11 ),
inference(subsumption_resolution,[],[f7000,f538]) ).
fof(f538,plain,
sP19(sK91),
inference(resolution,[],[f244,f524]) ).
fof(f244,plain,
! [X0] :
( ~ sP40(X0)
| sP19(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f7000,plain,
( ~ sP19(sK91)
| ~ spl92_10
| ~ spl92_11 ),
inference(subsumption_resolution,[],[f6999,f445]) ).
fof(f6999,plain,
( ~ p505(sK91)
| ~ sP19(sK91)
| ~ spl92_10
| ~ spl92_11 ),
inference(resolution,[],[f6974,f341]) ).
fof(f341,plain,
! [X0] :
( ~ p105(sK61(X0))
| ~ p505(X0)
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ( ~ p105(sK61(X0))
& r1(X0,sK61(X0)) )
| ~ p505(X0)
| ~ sP19(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f133,f134]) ).
fof(f134,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
=> ( ~ p105(sK61(X0))
& r1(X0,sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f133,plain,
! [X0] :
( ? [X1] :
( ~ p105(X1)
& r1(X0,X1) )
| ~ p505(X0)
| ~ sP19(X0) ),
inference(rectify,[],[f132]) ).
fof(f132,plain,
! [X1] :
( ? [X2] :
( ~ p105(X2)
& r1(X1,X2) )
| ~ p505(X1)
| ~ sP19(X1) ),
inference(nnf_transformation,[],[f27]) ).
fof(f6974,plain,
( p105(sK61(sK91))
| ~ spl92_10
| ~ spl92_11 ),
inference(resolution,[],[f449,f6370]) ).
fof(f6370,plain,
( r1(sK91,sK61(sK91))
| ~ spl92_10 ),
inference(subsumption_resolution,[],[f6366,f538]) ).
fof(f6366,plain,
( r1(sK91,sK61(sK91))
| ~ sP19(sK91)
| ~ spl92_10 ),
inference(resolution,[],[f445,f340]) ).
fof(f340,plain,
! [X0] :
( ~ p505(X0)
| r1(X0,sK61(X0))
| ~ sP19(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f6920,plain,
( ~ spl92_2
| ~ spl92_23 ),
inference(avatar_contradiction_clause,[],[f6919]) ).
fof(f6919,plain,
( $false
| ~ spl92_2
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f6918,f494]) ).
fof(f6918,plain,
( ~ p603(sK91)
| ~ spl92_2
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f6917,f562]) ).
fof(f562,plain,
sP35(sK91),
inference(resolution,[],[f290,f524]) ).
fof(f290,plain,
! [X0] :
( ~ sP40(X0)
| sP35(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f6917,plain,
( ~ sP35(sK91)
| ~ p603(sK91)
| ~ spl92_2
| ~ spl92_23 ),
inference(resolution,[],[f6911,f309]) ).
fof(f309,plain,
! [X0] :
( ~ p203(sK45(X0))
| ~ sP35(X0)
| ~ p603(X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ( ~ p203(sK45(X0))
& r1(X0,sK45(X0)) )
| ~ p603(X0)
| ~ sP35(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f69,f70]) ).
fof(f70,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK45(X0))
& r1(X0,sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ~ p603(X0)
| ~ sP35(X0) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1] :
( ? [X40] :
( ~ p203(X40)
& r1(X1,X40) )
| ~ p603(X1)
| ~ sP35(X1) ),
inference(nnf_transformation,[],[f43]) ).
fof(f6911,plain,
( p203(sK45(sK91))
| ~ spl92_2
| ~ spl92_23 ),
inference(resolution,[],[f6909,f414]) ).
fof(f414,plain,
( ! [X5] :
( ~ r1(sK91,X5)
| p203(X5) )
| ~ spl92_2 ),
inference(avatar_component_clause,[],[f413]) ).
fof(f413,plain,
( spl92_2
<=> ! [X5] :
( p203(X5)
| ~ r1(sK91,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_2])]) ).
fof(f6909,plain,
( r1(sK91,sK45(sK91))
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f6905,f562]) ).
fof(f6905,plain,
( r1(sK91,sK45(sK91))
| ~ sP35(sK91)
| ~ spl92_23 ),
inference(resolution,[],[f494,f308]) ).
fof(f308,plain,
! [X0] :
( ~ p603(X0)
| ~ sP35(X0)
| r1(X0,sK45(X0)) ),
inference(cnf_transformation,[],[f71]) ).
fof(f6903,plain,
( ~ spl92_21
| ~ spl92_30 ),
inference(avatar_split_clause,[],[f6900,f520,f484]) ).
fof(f484,plain,
( spl92_21
<=> p601(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_21])]) ).
fof(f520,plain,
( spl92_30
<=> p401(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_30])]) ).
fof(f6900,plain,
( ~ p601(sK91)
| ~ spl92_30 ),
inference(subsumption_resolution,[],[f6741,f524]) ).
fof(f6741,plain,
( ~ sP40(sK91)
| ~ p601(sK91)
| ~ spl92_30 ),
inference(resolution,[],[f522,f246]) ).
fof(f246,plain,
! [X0] :
( ~ p401(X0)
| ~ sP40(X0)
| ~ p601(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f522,plain,
( p401(sK91)
| ~ spl92_30 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f6899,plain,
( ~ spl92_19
| ~ spl92_25 ),
inference(avatar_contradiction_clause,[],[f6898]) ).
fof(f6898,plain,
( $false
| ~ spl92_19
| ~ spl92_25 ),
inference(subsumption_resolution,[],[f6897,f502]) ).
fof(f6897,plain,
( ~ p604(sK91)
| ~ spl92_19
| ~ spl92_25 ),
inference(subsumption_resolution,[],[f6896,f550]) ).
fof(f550,plain,
sP27(sK91),
inference(resolution,[],[f264,f524]) ).
fof(f264,plain,
! [X0] :
( ~ sP40(X0)
| sP27(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f6896,plain,
( ~ sP27(sK91)
| ~ p604(sK91)
| ~ spl92_19
| ~ spl92_25 ),
inference(resolution,[],[f6852,f325]) ).
fof(f325,plain,
! [X0] :
( ~ p304(sK53(X0))
| ~ sP27(X0)
| ~ p604(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( ~ p604(X0)
| ( ~ p304(sK53(X0))
& r1(X0,sK53(X0)) )
| ~ sP27(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK53])],[f101,f102]) ).
fof(f102,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
=> ( ~ p304(sK53(X0))
& r1(X0,sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X0] :
( ~ p604(X0)
| ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
| ~ sP27(X0) ),
inference(rectify,[],[f100]) ).
fof(f100,plain,
! [X1] :
( ~ p604(X1)
| ? [X51] :
( ~ p304(X51)
& r1(X1,X51) )
| ~ sP27(X1) ),
inference(nnf_transformation,[],[f35]) ).
fof(f6852,plain,
( p304(sK53(sK91))
| ~ spl92_19
| ~ spl92_25 ),
inference(resolution,[],[f6802,f477]) ).
fof(f477,plain,
( ! [X8] :
( ~ r1(sK91,X8)
| p304(X8) )
| ~ spl92_19 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f476,plain,
( spl92_19
<=> ! [X8] :
( ~ r1(sK91,X8)
| p304(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_19])]) ).
fof(f6802,plain,
( r1(sK91,sK53(sK91))
| ~ spl92_25 ),
inference(subsumption_resolution,[],[f6798,f550]) ).
fof(f6798,plain,
( ~ sP27(sK91)
| r1(sK91,sK53(sK91))
| ~ spl92_25 ),
inference(resolution,[],[f502,f324]) ).
fof(f324,plain,
! [X0] :
( ~ p604(X0)
| ~ sP27(X0)
| r1(X0,sK53(X0)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f6795,plain,
( spl92_62
| ~ spl92_64 ),
inference(avatar_contradiction_clause,[],[f6794]) ).
fof(f6794,plain,
( $false
| spl92_62
| ~ spl92_64 ),
inference(subsumption_resolution,[],[f6793,f1016]) ).
fof(f1016,plain,
( ~ r1(sK91,sK73(sK91))
| spl92_62 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f1015,plain,
( spl92_62
<=> r1(sK91,sK73(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_62])]) ).
fof(f6793,plain,
( r1(sK91,sK73(sK91))
| ~ spl92_64 ),
inference(subsumption_resolution,[],[f6792,f556]) ).
fof(f556,plain,
sP8(sK91),
inference(resolution,[],[f282,f524]) ).
fof(f282,plain,
! [X0] :
( ~ sP40(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f6792,plain,
( ~ sP8(sK91)
| r1(sK91,sK73(sK91))
| ~ spl92_64 ),
inference(resolution,[],[f1029,f365]) ).
fof(f365,plain,
! [X0] :
( ~ p203(sK74(X0))
| ~ sP8(X0)
| r1(X0,sK73(X0)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ( ~ p103(sK73(X0))
& r1(X0,sK73(X0)) )
| ( ~ p203(sK74(X0))
& r1(X0,sK74(X0)) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73,sK74])],[f178,f180,f179]) ).
fof(f179,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
=> ( ~ p103(sK73(X0))
& r1(X0,sK73(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X0] :
( ? [X2] :
( ~ p203(X2)
& r1(X0,X2) )
=> ( ~ p203(sK74(X0))
& r1(X0,sK74(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
! [X0] :
( ? [X1] :
( ~ p103(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p203(X2)
& r1(X0,X2) )
| ~ sP8(X0) ),
inference(rectify,[],[f177]) ).
fof(f177,plain,
! [X1] :
( ? [X33] :
( ~ p103(X33)
& r1(X1,X33) )
| ? [X32] :
( ~ p203(X32)
& r1(X1,X32) )
| ~ sP8(X1) ),
inference(nnf_transformation,[],[f16]) ).
fof(f1029,plain,
( p203(sK74(sK91))
| ~ spl92_64 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1027,plain,
( spl92_64
<=> p203(sK74(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_64])]) ).
fof(f6783,plain,
( ~ spl92_2
| ~ spl92_14
| ~ spl92_62
| spl92_64 ),
inference(avatar_contradiction_clause,[],[f6782]) ).
fof(f6782,plain,
( $false
| ~ spl92_2
| ~ spl92_14
| ~ spl92_62
| spl92_64 ),
inference(subsumption_resolution,[],[f6778,f1028]) ).
fof(f1028,plain,
( ~ p203(sK74(sK91))
| spl92_64 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f6778,plain,
( p203(sK74(sK91))
| ~ spl92_2
| ~ spl92_14
| ~ spl92_62 ),
inference(resolution,[],[f6776,f414]) ).
fof(f6776,plain,
( r1(sK91,sK74(sK91))
| ~ spl92_14
| ~ spl92_62 ),
inference(subsumption_resolution,[],[f6772,f556]) ).
fof(f6772,plain,
( r1(sK91,sK74(sK91))
| ~ sP8(sK91)
| ~ spl92_14
| ~ spl92_62 ),
inference(resolution,[],[f6750,f366]) ).
fof(f366,plain,
! [X0] :
( ~ p103(sK73(X0))
| r1(X0,sK74(X0))
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f6750,plain,
( p103(sK73(sK91))
| ~ spl92_14
| ~ spl92_62 ),
inference(resolution,[],[f459,f1017]) ).
fof(f1017,plain,
( r1(sK91,sK73(sK91))
| ~ spl92_62 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f6775,plain,
( ~ spl92_64
| ~ spl92_14
| ~ spl92_62 ),
inference(avatar_split_clause,[],[f6774,f1015,f458,f1027]) ).
fof(f6774,plain,
( ~ p203(sK74(sK91))
| ~ spl92_14
| ~ spl92_62 ),
inference(subsumption_resolution,[],[f6773,f556]) ).
fof(f6773,plain,
( ~ p203(sK74(sK91))
| ~ sP8(sK91)
| ~ spl92_14
| ~ spl92_62 ),
inference(resolution,[],[f6750,f367]) ).
fof(f367,plain,
! [X0] :
( ~ p103(sK73(X0))
| ~ sP8(X0)
| ~ p203(sK74(X0)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f6739,plain,
( ~ spl92_10
| ~ spl92_29 ),
inference(avatar_contradiction_clause,[],[f6738]) ).
fof(f6738,plain,
( $false
| ~ spl92_10
| ~ spl92_29 ),
inference(subsumption_resolution,[],[f6737,f530]) ).
fof(f530,plain,
sP12(sK91),
inference(resolution,[],[f233,f524]) ).
fof(f233,plain,
! [X0] :
( ~ sP40(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f6737,plain,
( ~ sP12(sK91)
| ~ spl92_10
| ~ spl92_29 ),
inference(subsumption_resolution,[],[f6736,f445]) ).
fof(f6736,plain,
( ~ p505(sK91)
| ~ sP12(sK91)
| ~ spl92_10
| ~ spl92_29 ),
inference(resolution,[],[f6711,f355]) ).
fof(f355,plain,
! [X0] :
( ~ p405(sK68(X0))
| ~ sP12(X0)
| ~ p505(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( ~ p405(sK68(X0))
& r1(X0,sK68(X0)) )
| ~ p505(X0)
| ~ sP12(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK68])],[f161,f162]) ).
fof(f162,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
=> ( ~ p405(sK68(X0))
& r1(X0,sK68(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f161,plain,
! [X0] :
( ? [X1] :
( ~ p405(X1)
& r1(X0,X1) )
| ~ p505(X0)
| ~ sP12(X0) ),
inference(rectify,[],[f160]) ).
fof(f160,plain,
! [X1] :
( ? [X34] :
( ~ p405(X34)
& r1(X1,X34) )
| ~ p505(X1)
| ~ sP12(X1) ),
inference(nnf_transformation,[],[f20]) ).
fof(f6711,plain,
( p405(sK68(sK91))
| ~ spl92_10
| ~ spl92_29 ),
inference(resolution,[],[f518,f6372]) ).
fof(f6372,plain,
( r1(sK91,sK68(sK91))
| ~ spl92_10 ),
inference(subsumption_resolution,[],[f6365,f530]) ).
fof(f6365,plain,
( r1(sK91,sK68(sK91))
| ~ sP12(sK91)
| ~ spl92_10 ),
inference(resolution,[],[f445,f354]) ).
fof(f354,plain,
! [X0] :
( ~ p505(X0)
| ~ sP12(X0)
| r1(X0,sK68(X0)) ),
inference(cnf_transformation,[],[f163]) ).
fof(f6677,plain,
( spl92_124
| ~ spl92_123 ),
inference(avatar_split_clause,[],[f6676,f1990,f1994]) ).
fof(f1994,plain,
( spl92_124
<=> r1(sK91,sK75(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_124])]) ).
fof(f1990,plain,
( spl92_123
<=> p204(sK76(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_123])]) ).
fof(f6676,plain,
( r1(sK91,sK75(sK91))
| ~ spl92_123 ),
inference(subsumption_resolution,[],[f6665,f553]) ).
fof(f553,plain,
sP7(sK91),
inference(resolution,[],[f270,f524]) ).
fof(f270,plain,
! [X0] :
( ~ sP40(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f6665,plain,
( ~ sP7(sK91)
| r1(sK91,sK75(sK91))
| ~ spl92_123 ),
inference(resolution,[],[f1992,f368]) ).
fof(f368,plain,
! [X0] :
( ~ p204(sK76(X0))
| r1(X0,sK75(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ( ~ p304(sK75(X0))
& r1(X0,sK75(X0)) )
| ( r1(X0,sK76(X0))
& ~ p204(sK76(X0)) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75,sK76])],[f183,f185,f184]) ).
fof(f184,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
=> ( ~ p304(sK75(X0))
& r1(X0,sK75(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X0] :
( ? [X2] :
( r1(X0,X2)
& ~ p204(X2) )
=> ( r1(X0,sK76(X0))
& ~ p204(sK76(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f183,plain,
! [X0] :
( ? [X1] :
( ~ p304(X1)
& r1(X0,X1) )
| ? [X2] :
( r1(X0,X2)
& ~ p204(X2) )
| ~ sP7(X0) ),
inference(rectify,[],[f182]) ).
fof(f182,plain,
! [X1] :
( ? [X28] :
( ~ p304(X28)
& r1(X1,X28) )
| ? [X27] :
( r1(X1,X27)
& ~ p204(X27) )
| ~ sP7(X1) ),
inference(nnf_transformation,[],[f15]) ).
fof(f1992,plain,
( p204(sK76(sK91))
| ~ spl92_123 ),
inference(avatar_component_clause,[],[f1990]) ).
fof(f6669,plain,
( ~ spl92_19
| ~ spl92_123
| ~ spl92_124 ),
inference(avatar_contradiction_clause,[],[f6668]) ).
fof(f6668,plain,
( $false
| ~ spl92_19
| ~ spl92_123
| ~ spl92_124 ),
inference(subsumption_resolution,[],[f6667,f6107]) ).
fof(f6107,plain,
( p304(sK75(sK91))
| ~ spl92_19
| ~ spl92_124 ),
inference(resolution,[],[f477,f1996]) ).
fof(f1996,plain,
( r1(sK91,sK75(sK91))
| ~ spl92_124 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f6667,plain,
( ~ p304(sK75(sK91))
| ~ spl92_123 ),
inference(subsumption_resolution,[],[f6666,f553]) ).
fof(f6666,plain,
( ~ sP7(sK91)
| ~ p304(sK75(sK91))
| ~ spl92_123 ),
inference(resolution,[],[f1992,f370]) ).
fof(f370,plain,
! [X0] :
( ~ p204(sK76(X0))
| ~ sP7(X0)
| ~ p304(sK75(X0)) ),
inference(cnf_transformation,[],[f186]) ).
fof(f6664,plain,
( spl92_123
| ~ spl92_5
| ~ spl92_19
| ~ spl92_124 ),
inference(avatar_split_clause,[],[f6646,f1994,f476,f423,f1990]) ).
fof(f6646,plain,
( p204(sK76(sK91))
| ~ spl92_5
| ~ spl92_19
| ~ spl92_124 ),
inference(resolution,[],[f424,f6183]) ).
fof(f6183,plain,
( r1(sK91,sK76(sK91))
| ~ spl92_19
| ~ spl92_124 ),
inference(subsumption_resolution,[],[f6182,f553]) ).
fof(f6182,plain,
( r1(sK91,sK76(sK91))
| ~ sP7(sK91)
| ~ spl92_19
| ~ spl92_124 ),
inference(resolution,[],[f6107,f371]) ).
fof(f371,plain,
! [X0] :
( ~ p304(sK75(X0))
| r1(X0,sK76(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f6362,plain,
( ~ spl92_1
| ~ spl92_24 ),
inference(avatar_contradiction_clause,[],[f6361]) ).
fof(f6361,plain,
( $false
| ~ spl92_1
| ~ spl92_24 ),
inference(subsumption_resolution,[],[f6360,f524]) ).
fof(f6360,plain,
( ~ sP40(sK91)
| ~ spl92_1
| ~ spl92_24 ),
inference(subsumption_resolution,[],[f6357,f498]) ).
fof(f498,plain,
( p602(sK91)
| ~ spl92_24 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl92_24
<=> p602(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_24])]) ).
fof(f6357,plain,
( ~ p602(sK91)
| ~ sP40(sK91)
| ~ spl92_1 ),
inference(resolution,[],[f411,f275]) ).
fof(f275,plain,
! [X0] :
( ~ p202(X0)
| ~ sP40(X0)
| ~ p602(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f6354,plain,
( ~ spl92_7
| ~ spl92_19
| ~ spl92_87 ),
inference(avatar_split_clause,[],[f6353,f1390,f476,f431]) ).
fof(f1390,plain,
( spl92_87
<=> r1(sK91,sK46(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_87])]) ).
fof(f6353,plain,
( ~ p504(sK91)
| ~ spl92_19
| ~ spl92_87 ),
inference(subsumption_resolution,[],[f6349,f561]) ).
fof(f561,plain,
sP34(sK91),
inference(resolution,[],[f289,f524]) ).
fof(f289,plain,
! [X0] :
( ~ sP40(X0)
| sP34(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f6349,plain,
( ~ sP34(sK91)
| ~ p504(sK91)
| ~ spl92_19
| ~ spl92_87 ),
inference(resolution,[],[f6255,f310]) ).
fof(f310,plain,
! [X0] :
( ~ p304(sK46(X0))
| ~ sP34(X0)
| ~ p504(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ( r1(X0,sK46(X0))
& ~ p304(sK46(X0)) )
| ~ p504(X0)
| ~ sP34(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46])],[f73,f74]) ).
fof(f74,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p304(X1) )
=> ( r1(X0,sK46(X0))
& ~ p304(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p304(X1) )
| ~ p504(X0)
| ~ sP34(X0) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1] :
( ? [X30] :
( r1(X1,X30)
& ~ p304(X30) )
| ~ p504(X1)
| ~ sP34(X1) ),
inference(nnf_transformation,[],[f42]) ).
fof(f6255,plain,
( p304(sK46(sK91))
| ~ spl92_19
| ~ spl92_87 ),
inference(resolution,[],[f1392,f477]) ).
fof(f1392,plain,
( r1(sK91,sK46(sK91))
| ~ spl92_87 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f5903,plain,
( ~ spl92_26
| ~ spl92_6 ),
inference(avatar_split_clause,[],[f567,f427,f505]) ).
fof(f505,plain,
( spl92_26
<=> p403(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_26])]) ).
fof(f427,plain,
( spl92_6
<=> p503(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_6])]) ).
fof(f567,plain,
( ~ p503(sK91)
| ~ p403(sK91) ),
inference(resolution,[],[f249,f524]) ).
fof(f249,plain,
! [X0] :
( ~ sP40(X0)
| ~ p403(X0)
| ~ p503(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f5897,plain,
( ~ spl92_6
| ~ spl92_14 ),
inference(avatar_contradiction_clause,[],[f5896]) ).
fof(f5896,plain,
( $false
| ~ spl92_6
| ~ spl92_14 ),
inference(subsumption_resolution,[],[f5895,f429]) ).
fof(f429,plain,
( p503(sK91)
| ~ spl92_6 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f5895,plain,
( ~ p503(sK91)
| ~ spl92_6
| ~ spl92_14 ),
inference(subsumption_resolution,[],[f5894,f543]) ).
fof(f543,plain,
sP23(sK91),
inference(resolution,[],[f253,f524]) ).
fof(f253,plain,
! [X0] :
( ~ sP40(X0)
| sP23(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f5894,plain,
( ~ sP23(sK91)
| ~ p503(sK91)
| ~ spl92_6
| ~ spl92_14 ),
inference(resolution,[],[f5871,f332]) ).
fof(f332,plain,
! [X0] :
( ~ p103(sK57(X0))
| ~ sP23(X0)
| ~ p503(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ p503(X0)
| ( r1(X0,sK57(X0))
& ~ p103(sK57(X0)) )
| ~ sP23(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK57])],[f117,f118]) ).
fof(f118,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p103(X1) )
=> ( r1(X0,sK57(X0))
& ~ p103(sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X0] :
( ~ p503(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p103(X1) )
| ~ sP23(X0) ),
inference(rectify,[],[f116]) ).
fof(f116,plain,
! [X1] :
( ~ p503(X1)
| ? [X43] :
( r1(X1,X43)
& ~ p103(X43) )
| ~ sP23(X1) ),
inference(nnf_transformation,[],[f31]) ).
fof(f5871,plain,
( p103(sK57(sK91))
| ~ spl92_6
| ~ spl92_14 ),
inference(resolution,[],[f459,f5511]) ).
fof(f5511,plain,
( r1(sK91,sK57(sK91))
| ~ spl92_6 ),
inference(subsumption_resolution,[],[f5509,f543]) ).
fof(f5509,plain,
( r1(sK91,sK57(sK91))
| ~ sP23(sK91)
| ~ spl92_6 ),
inference(resolution,[],[f429,f333]) ).
fof(f333,plain,
! [X0] :
( ~ p503(X0)
| ~ sP23(X0)
| r1(X0,sK57(X0)) ),
inference(cnf_transformation,[],[f119]) ).
fof(f5866,plain,
( ~ spl92_15
| ~ spl92_20 ),
inference(avatar_contradiction_clause,[],[f5865]) ).
fof(f5865,plain,
( $false
| ~ spl92_15
| ~ spl92_20 ),
inference(subsumption_resolution,[],[f5864,f481]) ).
fof(f481,plain,
( p302(sK91)
| ~ spl92_20 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f479,plain,
( spl92_20
<=> p302(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_20])]) ).
fof(f5864,plain,
( ~ p302(sK91)
| ~ spl92_15
| ~ spl92_20 ),
inference(subsumption_resolution,[],[f5863,f548]) ).
fof(f548,plain,
sP26(sK91),
inference(resolution,[],[f261,f524]) ).
fof(f261,plain,
! [X0] :
( ~ sP40(X0)
| sP26(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f5863,plain,
( ~ sP26(sK91)
| ~ p302(sK91)
| ~ spl92_15
| ~ spl92_20 ),
inference(resolution,[],[f5838,f327]) ).
fof(f327,plain,
! [X0] :
( ~ p102(sK54(X0))
| ~ p302(X0)
| ~ sP26(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ~ p302(X0)
| ( ~ p102(sK54(X0))
& r1(X0,sK54(X0)) )
| ~ sP26(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f105,f106]) ).
fof(f106,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK54(X0))
& r1(X0,sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
! [X0] :
( ~ p302(X0)
| ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ sP26(X0) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
! [X1] :
( ~ p302(X1)
| ? [X8] :
( ~ p102(X8)
& r1(X1,X8) )
| ~ sP26(X1) ),
inference(nnf_transformation,[],[f34]) ).
fof(f5838,plain,
( p102(sK54(sK91))
| ~ spl92_15
| ~ spl92_20 ),
inference(resolution,[],[f462,f5787]) ).
fof(f5787,plain,
( r1(sK91,sK54(sK91))
| ~ spl92_20 ),
inference(subsumption_resolution,[],[f5780,f548]) ).
fof(f5780,plain,
( r1(sK91,sK54(sK91))
| ~ sP26(sK91)
| ~ spl92_20 ),
inference(resolution,[],[f481,f326]) ).
fof(f326,plain,
! [X0] :
( ~ p302(X0)
| ~ sP26(X0)
| r1(X0,sK54(X0)) ),
inference(cnf_transformation,[],[f107]) ).
fof(f5789,plain,
( ~ spl92_24
| ~ spl92_20 ),
inference(avatar_split_clause,[],[f5788,f479,f496]) ).
fof(f5788,plain,
( ~ p602(sK91)
| ~ spl92_20 ),
inference(subsumption_resolution,[],[f5782,f524]) ).
fof(f5782,plain,
( ~ sP40(sK91)
| ~ p602(sK91)
| ~ spl92_20 ),
inference(resolution,[],[f481,f269]) ).
fof(f269,plain,
! [X0] :
( ~ p302(X0)
| ~ sP40(X0)
| ~ p602(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f5779,plain,
( ~ spl92_19
| ~ spl92_27 ),
inference(avatar_contradiction_clause,[],[f5778]) ).
fof(f5778,plain,
( $false
| ~ spl92_19
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f5777,f555]) ).
fof(f555,plain,
sP30(sK91),
inference(resolution,[],[f279,f524]) ).
fof(f279,plain,
! [X0] :
( ~ sP40(X0)
| sP30(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f5777,plain,
( ~ sP30(sK91)
| ~ spl92_19
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f5776,f511]) ).
fof(f5776,plain,
( ~ p404(sK91)
| ~ sP30(sK91)
| ~ spl92_19
| ~ spl92_27 ),
inference(resolution,[],[f5752,f318]) ).
fof(f318,plain,
! [X0] :
( ~ p304(sK50(X0))
| ~ p404(X0)
| ~ sP30(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ( r1(X0,sK50(X0))
& ~ p304(sK50(X0)) )
| ~ p404(X0)
| ~ sP30(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f89,f90]) ).
fof(f90,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p304(X1) )
=> ( r1(X0,sK50(X0))
& ~ p304(sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p304(X1) )
| ~ p404(X0)
| ~ sP30(X0) ),
inference(rectify,[],[f88]) ).
fof(f88,plain,
! [X1] :
( ? [X22] :
( r1(X1,X22)
& ~ p304(X22) )
| ~ p404(X1)
| ~ sP30(X1) ),
inference(nnf_transformation,[],[f38]) ).
fof(f5752,plain,
( p304(sK50(sK91))
| ~ spl92_19
| ~ spl92_27 ),
inference(resolution,[],[f477,f5611]) ).
fof(f5611,plain,
( r1(sK91,sK50(sK91))
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f5606,f555]) ).
fof(f5606,plain,
( ~ sP30(sK91)
| r1(sK91,sK50(sK91))
| ~ spl92_27 ),
inference(resolution,[],[f511,f319]) ).
fof(f319,plain,
! [X0] :
( ~ p404(X0)
| r1(X0,sK50(X0))
| ~ sP30(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f5500,plain,
( ~ spl92_3
| spl92_162 ),
inference(avatar_contradiction_clause,[],[f5499]) ).
fof(f5499,plain,
( $false
| ~ spl92_3
| spl92_162 ),
inference(subsumption_resolution,[],[f5498,f2793]) ).
fof(f2793,plain,
( ~ r1(sK91,sK89(sK91))
| spl92_162 ),
inference(avatar_component_clause,[],[f2792]) ).
fof(f2792,plain,
( spl92_162
<=> r1(sK91,sK89(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_162])]) ).
fof(f5498,plain,
( r1(sK91,sK89(sK91))
| ~ spl92_3
| spl92_162 ),
inference(subsumption_resolution,[],[f5496,f528]) ).
fof(f528,plain,
sP0(sK91),
inference(resolution,[],[f227,f524]) ).
fof(f227,plain,
! [X0] :
( ~ sP40(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f5496,plain,
( ~ sP0(sK91)
| r1(sK91,sK89(sK91))
| ~ spl92_3
| spl92_162 ),
inference(resolution,[],[f5495,f398]) ).
fof(f398,plain,
! [X0] :
( ~ p205(sK90(X0))
| r1(X0,sK89(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ( r1(X0,sK89(X0))
& ~ p405(sK89(X0)) )
| ( r1(X0,sK90(X0))
& ~ p205(sK90(X0)) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK89,sK90])],[f218,f220,f219]) ).
fof(f219,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p405(X1) )
=> ( r1(X0,sK89(X0))
& ~ p405(sK89(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0] :
( ? [X2] :
( r1(X0,X2)
& ~ p205(X2) )
=> ( r1(X0,sK90(X0))
& ~ p205(sK90(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p405(X1) )
| ? [X2] :
( r1(X0,X2)
& ~ p205(X2) )
| ~ sP0(X0) ),
inference(rectify,[],[f217]) ).
fof(f217,plain,
! [X1] :
( ? [X17] :
( r1(X1,X17)
& ~ p405(X17) )
| ? [X16] :
( r1(X1,X16)
& ~ p205(X16) )
| ~ sP0(X1) ),
inference(nnf_transformation,[],[f8]) ).
fof(f5495,plain,
( p205(sK90(sK91))
| ~ spl92_3
| spl92_162 ),
inference(subsumption_resolution,[],[f5494,f528]) ).
fof(f5494,plain,
( ~ sP0(sK91)
| p205(sK90(sK91))
| ~ spl92_3
| spl92_162 ),
inference(subsumption_resolution,[],[f4251,f2793]) ).
fof(f4251,plain,
( p205(sK90(sK91))
| r1(sK91,sK89(sK91))
| ~ sP0(sK91)
| ~ spl92_3 ),
inference(resolution,[],[f417,f399]) ).
fof(f399,plain,
! [X0] :
( r1(X0,sK90(X0))
| r1(X0,sK89(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f417,plain,
( ! [X7] :
( ~ r1(sK91,X7)
| p205(X7) )
| ~ spl92_3 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl92_3
<=> ! [X7] :
( p205(X7)
| ~ r1(sK91,X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_3])]) ).
fof(f5487,plain,
( ~ spl92_3
| ~ spl92_29
| ~ spl92_162 ),
inference(avatar_contradiction_clause,[],[f5486]) ).
fof(f5486,plain,
( $false
| ~ spl92_3
| ~ spl92_29
| ~ spl92_162 ),
inference(subsumption_resolution,[],[f5485,f5344]) ).
fof(f5344,plain,
( p405(sK89(sK91))
| ~ spl92_29
| ~ spl92_162 ),
inference(resolution,[],[f518,f2794]) ).
fof(f2794,plain,
( r1(sK91,sK89(sK91))
| ~ spl92_162 ),
inference(avatar_component_clause,[],[f2792]) ).
fof(f5485,plain,
( ~ p405(sK89(sK91))
| ~ spl92_3
| ~ spl92_29
| ~ spl92_162 ),
inference(subsumption_resolution,[],[f5484,f528]) ).
fof(f5484,plain,
( ~ sP0(sK91)
| ~ p405(sK89(sK91))
| ~ spl92_3
| ~ spl92_29
| ~ spl92_162 ),
inference(resolution,[],[f5481,f396]) ).
fof(f396,plain,
! [X0] :
( ~ p205(sK90(X0))
| ~ sP0(X0)
| ~ p405(sK89(X0)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f5481,plain,
( p205(sK90(sK91))
| ~ spl92_3
| ~ spl92_29
| ~ spl92_162 ),
inference(resolution,[],[f5479,f417]) ).
fof(f5479,plain,
( r1(sK91,sK90(sK91))
| ~ spl92_29
| ~ spl92_162 ),
inference(subsumption_resolution,[],[f5478,f528]) ).
fof(f5478,plain,
( r1(sK91,sK90(sK91))
| ~ sP0(sK91)
| ~ spl92_29
| ~ spl92_162 ),
inference(resolution,[],[f5344,f397]) ).
fof(f397,plain,
! [X0] :
( ~ p405(sK89(X0))
| ~ sP0(X0)
| r1(X0,sK90(X0)) ),
inference(cnf_transformation,[],[f221]) ).
fof(f5230,plain,
( ~ spl92_3
| ~ spl92_10 ),
inference(avatar_contradiction_clause,[],[f5229]) ).
fof(f5229,plain,
( $false
| ~ spl92_3
| ~ spl92_10 ),
inference(subsumption_resolution,[],[f5228,f545]) ).
fof(f545,plain,
sP24(sK91),
inference(resolution,[],[f256,f524]) ).
fof(f256,plain,
! [X0] :
( ~ sP40(X0)
| sP24(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f5228,plain,
( ~ sP24(sK91)
| ~ spl92_3
| ~ spl92_10 ),
inference(subsumption_resolution,[],[f5227,f445]) ).
fof(f5227,plain,
( ~ p505(sK91)
| ~ sP24(sK91)
| ~ spl92_3
| ~ spl92_10 ),
inference(resolution,[],[f5169,f330]) ).
fof(f330,plain,
! [X0] :
( ~ p205(sK56(X0))
| ~ p505(X0)
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ~ p505(X0)
| ( r1(X0,sK56(X0))
& ~ p205(sK56(X0)) )
| ~ sP24(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f113,f114]) ).
fof(f114,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p205(X1) )
=> ( r1(X0,sK56(X0))
& ~ p205(sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X0] :
( ~ p505(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p205(X1) )
| ~ sP24(X0) ),
inference(rectify,[],[f112]) ).
fof(f112,plain,
! [X1] :
( ~ p505(X1)
| ? [X6] :
( r1(X1,X6)
& ~ p205(X6) )
| ~ sP24(X1) ),
inference(nnf_transformation,[],[f32]) ).
fof(f5169,plain,
( p205(sK56(sK91))
| ~ spl92_3
| ~ spl92_10 ),
inference(resolution,[],[f5164,f417]) ).
fof(f5164,plain,
( r1(sK91,sK56(sK91))
| ~ spl92_10 ),
inference(subsumption_resolution,[],[f5161,f545]) ).
fof(f5161,plain,
( r1(sK91,sK56(sK91))
| ~ sP24(sK91)
| ~ spl92_10 ),
inference(resolution,[],[f445,f331]) ).
fof(f331,plain,
! [X0] :
( ~ p505(X0)
| r1(X0,sK56(X0))
| ~ sP24(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f5157,plain,
( ~ spl92_15
| ~ spl92_24 ),
inference(avatar_contradiction_clause,[],[f5156]) ).
fof(f5156,plain,
( $false
| ~ spl92_15
| ~ spl92_24 ),
inference(subsumption_resolution,[],[f5155,f554]) ).
fof(f554,plain,
sP29(sK91),
inference(resolution,[],[f273,f524]) ).
fof(f273,plain,
! [X0] :
( ~ sP40(X0)
| sP29(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f5155,plain,
( ~ sP29(sK91)
| ~ spl92_15
| ~ spl92_24 ),
inference(subsumption_resolution,[],[f5154,f498]) ).
fof(f5154,plain,
( ~ p602(sK91)
| ~ sP29(sK91)
| ~ spl92_15
| ~ spl92_24 ),
inference(resolution,[],[f5130,f321]) ).
fof(f321,plain,
! [X0] :
( ~ p102(sK51(X0))
| ~ p602(X0)
| ~ sP29(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ( ~ p102(sK51(X0))
& r1(X0,sK51(X0)) )
| ~ p602(X0)
| ~ sP29(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f93,f94]) ).
fof(f94,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
=> ( ~ p102(sK51(X0))
& r1(X0,sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
! [X0] :
( ? [X1] :
( ~ p102(X1)
& r1(X0,X1) )
| ~ p602(X0)
| ~ sP29(X0) ),
inference(rectify,[],[f92]) ).
fof(f92,plain,
! [X1] :
( ? [X26] :
( ~ p102(X26)
& r1(X1,X26) )
| ~ p602(X1)
| ~ sP29(X1) ),
inference(nnf_transformation,[],[f37]) ).
fof(f5130,plain,
( p102(sK51(sK91))
| ~ spl92_15
| ~ spl92_24 ),
inference(resolution,[],[f462,f5057]) ).
fof(f5057,plain,
( r1(sK91,sK51(sK91))
| ~ spl92_24 ),
inference(subsumption_resolution,[],[f5056,f554]) ).
fof(f5056,plain,
( ~ sP29(sK91)
| r1(sK91,sK51(sK91))
| ~ spl92_24 ),
inference(resolution,[],[f498,f320]) ).
fof(f320,plain,
! [X0] :
( ~ p602(X0)
| ~ sP29(X0)
| r1(X0,sK51(X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f5052,plain,
( ~ spl92_16
| ~ spl92_23 ),
inference(avatar_contradiction_clause,[],[f5051]) ).
fof(f5051,plain,
( $false
| ~ spl92_16
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f5050,f467]) ).
fof(f467,plain,
( p303(sK91)
| ~ spl92_16 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl92_16
<=> p303(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_16])]) ).
fof(f5050,plain,
( ~ p303(sK91)
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f5047,f524]) ).
fof(f5047,plain,
( ~ sP40(sK91)
| ~ p303(sK91)
| ~ spl92_23 ),
inference(resolution,[],[f494,f280]) ).
fof(f280,plain,
! [X0] :
( ~ p603(X0)
| ~ p303(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f5039,plain,
( ~ spl92_14
| ~ spl92_16 ),
inference(avatar_contradiction_clause,[],[f5038]) ).
fof(f5038,plain,
( $false
| ~ spl92_14
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f5037,f467]) ).
fof(f5037,plain,
( ~ p303(sK91)
| ~ spl92_14
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f5036,f535]) ).
fof(f535,plain,
sP16(sK91),
inference(resolution,[],[f240,f524]) ).
fof(f240,plain,
! [X0] :
( ~ sP40(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f5036,plain,
( ~ sP16(sK91)
| ~ p303(sK91)
| ~ spl92_14
| ~ spl92_16 ),
inference(resolution,[],[f5013,f346]) ).
fof(f346,plain,
! [X0] :
( ~ p103(sK64(X0))
| ~ sP16(X0)
| ~ p303(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ( r1(X0,sK64(X0))
& ~ p103(sK64(X0)) )
| ~ p303(X0)
| ~ sP16(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64])],[f145,f146]) ).
fof(f146,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p103(X1) )
=> ( r1(X0,sK64(X0))
& ~ p103(sK64(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f145,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p103(X1) )
| ~ p303(X0)
| ~ sP16(X0) ),
inference(rectify,[],[f144]) ).
fof(f144,plain,
! [X1] :
( ? [X39] :
( r1(X1,X39)
& ~ p103(X39) )
| ~ p303(X1)
| ~ sP16(X1) ),
inference(nnf_transformation,[],[f24]) ).
fof(f5013,plain,
( p103(sK64(sK91))
| ~ spl92_14
| ~ spl92_16 ),
inference(resolution,[],[f459,f4701]) ).
fof(f4701,plain,
( r1(sK91,sK64(sK91))
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f4698,f535]) ).
fof(f4698,plain,
( r1(sK91,sK64(sK91))
| ~ sP16(sK91)
| ~ spl92_16 ),
inference(resolution,[],[f467,f347]) ).
fof(f347,plain,
! [X0] :
( ~ p303(X0)
| ~ sP16(X0)
| r1(X0,sK64(X0)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f4697,plain,
( ~ spl92_18
| spl92_143 ),
inference(avatar_contradiction_clause,[],[f4696]) ).
fof(f4696,plain,
( $false
| ~ spl92_18
| spl92_143 ),
inference(subsumption_resolution,[],[f4695,f2330]) ).
fof(f2330,plain,
( ~ r1(sK91,sK83(sK91))
| spl92_143 ),
inference(avatar_component_clause,[],[f2329]) ).
fof(f2329,plain,
( spl92_143
<=> r1(sK91,sK83(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_143])]) ).
fof(f4695,plain,
( r1(sK91,sK83(sK91))
| ~ spl92_18
| spl92_143 ),
inference(subsumption_resolution,[],[f4694,f544]) ).
fof(f544,plain,
sP3(sK91),
inference(resolution,[],[f254,f524]) ).
fof(f254,plain,
! [X0] :
( ~ sP40(X0)
| sP3(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f4694,plain,
( ~ sP3(sK91)
| r1(sK91,sK83(sK91))
| ~ spl92_18
| spl92_143 ),
inference(resolution,[],[f4693,f385]) ).
fof(f385,plain,
! [X0] :
( ~ p305(sK84(X0))
| r1(X0,sK83(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ( ~ p205(sK83(X0))
& r1(X0,sK83(X0)) )
| ( ~ p305(sK84(X0))
& r1(X0,sK84(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83,sK84])],[f203,f205,f204]) ).
fof(f204,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
=> ( ~ p205(sK83(X0))
& r1(X0,sK83(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f205,plain,
! [X0] :
( ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
=> ( ~ p305(sK84(X0))
& r1(X0,sK84(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
! [X0] :
( ? [X1] :
( ~ p205(X1)
& r1(X0,X1) )
| ? [X2] :
( ~ p305(X2)
& r1(X0,X2) )
| ~ sP3(X0) ),
inference(rectify,[],[f202]) ).
fof(f202,plain,
! [X1] :
( ? [X20] :
( ~ p205(X20)
& r1(X1,X20) )
| ? [X21] :
( ~ p305(X21)
& r1(X1,X21) )
| ~ sP3(X1) ),
inference(nnf_transformation,[],[f11]) ).
fof(f4693,plain,
( p305(sK84(sK91))
| ~ spl92_18
| spl92_143 ),
inference(subsumption_resolution,[],[f4692,f544]) ).
fof(f4692,plain,
( p305(sK84(sK91))
| ~ sP3(sK91)
| ~ spl92_18
| spl92_143 ),
inference(subsumption_resolution,[],[f4680,f2330]) ).
fof(f4680,plain,
( p305(sK84(sK91))
| r1(sK91,sK83(sK91))
| ~ sP3(sK91)
| ~ spl92_18 ),
inference(resolution,[],[f474,f384]) ).
fof(f384,plain,
! [X0] :
( r1(X0,sK84(X0))
| r1(X0,sK83(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f4685,plain,
( ~ spl92_3
| ~ spl92_18
| ~ spl92_143 ),
inference(avatar_contradiction_clause,[],[f4684]) ).
fof(f4684,plain,
( $false
| ~ spl92_3
| ~ spl92_18
| ~ spl92_143 ),
inference(subsumption_resolution,[],[f4670,f4571]) ).
fof(f4571,plain,
( ~ p305(sK84(sK91))
| ~ spl92_3
| ~ spl92_143 ),
inference(subsumption_resolution,[],[f4569,f544]) ).
fof(f4569,plain,
( ~ sP3(sK91)
| ~ p305(sK84(sK91))
| ~ spl92_3
| ~ spl92_143 ),
inference(resolution,[],[f4324,f387]) ).
fof(f387,plain,
! [X0] :
( ~ p205(sK83(X0))
| ~ p305(sK84(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f4324,plain,
( p205(sK83(sK91))
| ~ spl92_3
| ~ spl92_143 ),
inference(resolution,[],[f2331,f417]) ).
fof(f2331,plain,
( r1(sK91,sK83(sK91))
| ~ spl92_143 ),
inference(avatar_component_clause,[],[f2329]) ).
fof(f4670,plain,
( p305(sK84(sK91))
| ~ spl92_3
| ~ spl92_18
| ~ spl92_143 ),
inference(resolution,[],[f474,f4570]) ).
fof(f4570,plain,
( r1(sK91,sK84(sK91))
| ~ spl92_3
| ~ spl92_143 ),
inference(subsumption_resolution,[],[f4568,f544]) ).
fof(f4568,plain,
( ~ sP3(sK91)
| r1(sK91,sK84(sK91))
| ~ spl92_3
| ~ spl92_143 ),
inference(resolution,[],[f4324,f386]) ).
fof(f386,plain,
! [X0] :
( ~ p205(sK83(X0))
| ~ sP3(X0)
| r1(X0,sK84(X0)) ),
inference(cnf_transformation,[],[f206]) ).
fof(f4635,plain,
( ~ spl92_9
| ~ spl92_15 ),
inference(avatar_contradiction_clause,[],[f4634]) ).
fof(f4634,plain,
( $false
| ~ spl92_9
| ~ spl92_15 ),
inference(subsumption_resolution,[],[f4633,f529]) ).
fof(f529,plain,
sP11(sK91),
inference(resolution,[],[f230,f524]) ).
fof(f230,plain,
! [X0] :
( ~ sP40(X0)
| sP11(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f4633,plain,
( ~ sP11(sK91)
| ~ spl92_9
| ~ spl92_15 ),
inference(subsumption_resolution,[],[f4632,f441]) ).
fof(f441,plain,
( p502(sK91)
| ~ spl92_9 ),
inference(avatar_component_clause,[],[f439]) ).
fof(f439,plain,
( spl92_9
<=> p502(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_9])]) ).
fof(f4632,plain,
( ~ p502(sK91)
| ~ sP11(sK91)
| ~ spl92_9
| ~ spl92_15 ),
inference(resolution,[],[f4610,f356]) ).
fof(f356,plain,
! [X0] :
( ~ p102(sK69(X0))
| ~ sP11(X0)
| ~ p502(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ( r1(X0,sK69(X0))
& ~ p102(sK69(X0)) )
| ~ p502(X0)
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f165,f166]) ).
fof(f166,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p102(X1) )
=> ( r1(X0,sK69(X0))
& ~ p102(sK69(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p102(X1) )
| ~ p502(X0)
| ~ sP11(X0) ),
inference(rectify,[],[f164]) ).
fof(f164,plain,
! [X1] :
( ? [X25] :
( r1(X1,X25)
& ~ p102(X25) )
| ~ p502(X1)
| ~ sP11(X1) ),
inference(nnf_transformation,[],[f19]) ).
fof(f4610,plain,
( p102(sK69(sK91))
| ~ spl92_9
| ~ spl92_15 ),
inference(resolution,[],[f462,f3665]) ).
fof(f3665,plain,
( r1(sK91,sK69(sK91))
| ~ spl92_9 ),
inference(subsumption_resolution,[],[f3663,f529]) ).
fof(f3663,plain,
( r1(sK91,sK69(sK91))
| ~ sP11(sK91)
| ~ spl92_9 ),
inference(resolution,[],[f441,f357]) ).
fof(f357,plain,
! [X0] :
( ~ p502(X0)
| r1(X0,sK69(X0))
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f4604,plain,
( ~ spl92_14
| ~ spl92_26 ),
inference(avatar_contradiction_clause,[],[f4603]) ).
fof(f4603,plain,
( $false
| ~ spl92_14
| ~ spl92_26 ),
inference(subsumption_resolution,[],[f4602,f542]) ).
fof(f542,plain,
sP22(sK91),
inference(resolution,[],[f251,f524]) ).
fof(f251,plain,
! [X0] :
( ~ sP40(X0)
| sP22(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f4602,plain,
( ~ sP22(sK91)
| ~ spl92_14
| ~ spl92_26 ),
inference(subsumption_resolution,[],[f4601,f507]) ).
fof(f507,plain,
( p403(sK91)
| ~ spl92_26 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f4601,plain,
( ~ p403(sK91)
| ~ sP22(sK91)
| ~ spl92_14
| ~ spl92_26 ),
inference(resolution,[],[f4576,f334]) ).
fof(f334,plain,
! [X0] :
( ~ p103(sK58(X0))
| ~ p403(X0)
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ~ p403(X0)
| ( r1(X0,sK58(X0))
& ~ p103(sK58(X0)) )
| ~ sP22(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK58])],[f121,f122]) ).
fof(f122,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p103(X1) )
=> ( r1(X0,sK58(X0))
& ~ p103(sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X0] :
( ~ p403(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p103(X1) )
| ~ sP22(X0) ),
inference(rectify,[],[f120]) ).
fof(f120,plain,
! [X1] :
( ~ p403(X1)
| ? [X31] :
( r1(X1,X31)
& ~ p103(X31) )
| ~ sP22(X1) ),
inference(nnf_transformation,[],[f30]) ).
fof(f4576,plain,
( p103(sK58(sK91))
| ~ spl92_14
| ~ spl92_26 ),
inference(resolution,[],[f459,f4159]) ).
fof(f4159,plain,
( r1(sK91,sK58(sK91))
| ~ spl92_26 ),
inference(subsumption_resolution,[],[f4158,f542]) ).
fof(f4158,plain,
( r1(sK91,sK58(sK91))
| ~ sP22(sK91)
| ~ spl92_26 ),
inference(resolution,[],[f507,f335]) ).
fof(f335,plain,
! [X0] :
( ~ p403(X0)
| r1(X0,sK58(X0))
| ~ sP22(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f4567,plain,
( ~ spl92_12
| ~ spl92_17 ),
inference(avatar_contradiction_clause,[],[f4566]) ).
fof(f4566,plain,
( $false
| ~ spl92_12
| ~ spl92_17 ),
inference(subsumption_resolution,[],[f4565,f471]) ).
fof(f471,plain,
( p301(sK91)
| ~ spl92_17 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl92_17
<=> p301(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_17])]) ).
fof(f4565,plain,
( ~ p301(sK91)
| ~ spl92_12 ),
inference(subsumption_resolution,[],[f4560,f524]) ).
fof(f4560,plain,
( ~ sP40(sK91)
| ~ p301(sK91)
| ~ spl92_12 ),
inference(resolution,[],[f453,f291]) ).
fof(f291,plain,
! [X0] :
( ~ p101(X0)
| ~ sP40(X0)
| ~ p301(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f453,plain,
( p101(sK91)
| ~ spl92_12 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl92_12
<=> p101(sK91) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_12])]) ).
fof(f4559,plain,
( spl92_147
| ~ spl92_266 ),
inference(avatar_contradiction_clause,[],[f4558]) ).
fof(f4558,plain,
( $false
| spl92_147
| ~ spl92_266 ),
inference(subsumption_resolution,[],[f4557,f2355]) ).
fof(f2355,plain,
( ~ r1(sK91,sK85(sK91))
| spl92_147 ),
inference(avatar_component_clause,[],[f2354]) ).
fof(f4557,plain,
( r1(sK91,sK85(sK91))
| ~ spl92_266 ),
inference(subsumption_resolution,[],[f4556,f539]) ).
fof(f4556,plain,
( ~ sP2(sK91)
| r1(sK91,sK85(sK91))
| ~ spl92_266 ),
inference(resolution,[],[f4552,f388]) ).
fof(f388,plain,
! [X0] :
( ~ p205(sK86(X0))
| ~ sP2(X0)
| r1(X0,sK85(X0)) ),
inference(cnf_transformation,[],[f211]) ).
fof(f4553,plain,
( spl92_266
| spl92_147
| ~ spl92_3 ),
inference(avatar_split_clause,[],[f4548,f416,f2354,f4550]) ).
fof(f4548,plain,
( r1(sK91,sK85(sK91))
| p205(sK86(sK91))
| ~ spl92_3 ),
inference(subsumption_resolution,[],[f4249,f539]) ).
fof(f4249,plain,
( ~ sP2(sK91)
| r1(sK91,sK85(sK91))
| p205(sK86(sK91))
| ~ spl92_3 ),
inference(resolution,[],[f417,f389]) ).
fof(f389,plain,
! [X0] :
( r1(X0,sK86(X0))
| ~ sP2(X0)
| r1(X0,sK85(X0)) ),
inference(cnf_transformation,[],[f211]) ).
fof(f4547,plain,
( ~ spl92_3
| ~ spl92_11
| ~ spl92_147 ),
inference(avatar_contradiction_clause,[],[f4546]) ).
fof(f4546,plain,
( $false
| ~ spl92_3
| ~ spl92_11
| ~ spl92_147 ),
inference(subsumption_resolution,[],[f4544,f4542]) ).
fof(f4542,plain,
( ~ p205(sK86(sK91))
| ~ spl92_11
| ~ spl92_147 ),
inference(subsumption_resolution,[],[f4540,f539]) ).
fof(f4540,plain,
( ~ sP2(sK91)
| ~ p205(sK86(sK91))
| ~ spl92_11
| ~ spl92_147 ),
inference(resolution,[],[f4263,f390]) ).
fof(f4263,plain,
( p105(sK85(sK91))
| ~ spl92_11
| ~ spl92_147 ),
inference(resolution,[],[f449,f2356]) ).
fof(f4544,plain,
( p205(sK86(sK91))
| ~ spl92_3
| ~ spl92_11
| ~ spl92_147 ),
inference(resolution,[],[f4541,f417]) ).
fof(f4541,plain,
( r1(sK91,sK86(sK91))
| ~ spl92_11
| ~ spl92_147 ),
inference(subsumption_resolution,[],[f4539,f539]) ).
fof(f4539,plain,
( ~ sP2(sK91)
| r1(sK91,sK86(sK91))
| ~ spl92_11
| ~ spl92_147 ),
inference(resolution,[],[f4263,f391]) ).
fof(f391,plain,
! [X0] :
( ~ p105(sK85(X0))
| r1(X0,sK86(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f3960,plain,
( ~ spl92_23
| ~ spl92_26 ),
inference(avatar_contradiction_clause,[],[f3959]) ).
fof(f3959,plain,
( $false
| ~ spl92_23
| ~ spl92_26 ),
inference(subsumption_resolution,[],[f3958,f507]) ).
fof(f3958,plain,
( ~ p403(sK91)
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f3954,f524]) ).
fof(f3954,plain,
( ~ sP40(sK91)
| ~ p403(sK91)
| ~ spl92_23 ),
inference(resolution,[],[f494,f242]) ).
fof(f242,plain,
! [X0] :
( ~ p603(X0)
| ~ p403(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3947,plain,
( ~ spl92_24
| ~ spl92_9 ),
inference(avatar_split_clause,[],[f3944,f439,f496]) ).
fof(f3944,plain,
( ~ p602(sK91)
| ~ spl92_9 ),
inference(subsumption_resolution,[],[f3664,f524]) ).
fof(f3664,plain,
( ~ sP40(sK91)
| ~ p602(sK91)
| ~ spl92_9 ),
inference(resolution,[],[f441,f292]) ).
fof(f292,plain,
! [X0] :
( ~ p502(X0)
| ~ sP40(X0)
| ~ p602(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3943,plain,
( ~ spl92_4
| ~ spl92_17 ),
inference(avatar_contradiction_clause,[],[f3942]) ).
fof(f3942,plain,
( $false
| ~ spl92_4
| ~ spl92_17 ),
inference(subsumption_resolution,[],[f3941,f524]) ).
fof(f3941,plain,
( ~ sP40(sK91)
| ~ spl92_4
| ~ spl92_17 ),
inference(subsumption_resolution,[],[f3940,f471]) ).
fof(f3940,plain,
( ~ p301(sK91)
| ~ sP40(sK91)
| ~ spl92_4 ),
inference(resolution,[],[f421,f252]) ).
fof(f252,plain,
! [X0] :
( ~ p201(X0)
| ~ sP40(X0)
| ~ p301(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3866,plain,
( ~ spl92_16
| ~ spl92_26 ),
inference(avatar_split_clause,[],[f572,f505,f465]) ).
fof(f572,plain,
( ~ p403(sK91)
| ~ p303(sK91) ),
inference(resolution,[],[f297,f524]) ).
fof(f297,plain,
! [X0] :
( ~ sP40(X0)
| ~ p303(X0)
| ~ p403(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3865,plain,
( ~ spl92_2
| ~ spl92_16 ),
inference(avatar_contradiction_clause,[],[f3864]) ).
fof(f3864,plain,
( $false
| ~ spl92_2
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f3863,f560]) ).
fof(f560,plain,
sP33(sK91),
inference(resolution,[],[f288,f524]) ).
fof(f288,plain,
! [X0] :
( ~ sP40(X0)
| sP33(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3863,plain,
( ~ sP33(sK91)
| ~ spl92_2
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f3862,f467]) ).
fof(f3862,plain,
( ~ p303(sK91)
| ~ sP33(sK91)
| ~ spl92_2
| ~ spl92_16 ),
inference(resolution,[],[f3832,f312]) ).
fof(f312,plain,
! [X0] :
( ~ p203(sK47(X0))
| ~ p303(X0)
| ~ sP33(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( r1(X0,sK47(X0))
& ~ p203(sK47(X0)) )
| ~ p303(X0)
| ~ sP33(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f77,f78]) ).
fof(f78,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p203(X1) )
=> ( r1(X0,sK47(X0))
& ~ p203(sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p203(X1) )
| ~ p303(X0)
| ~ sP33(X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X1] :
( ? [X9] :
( r1(X1,X9)
& ~ p203(X9) )
| ~ p303(X1)
| ~ sP33(X1) ),
inference(nnf_transformation,[],[f41]) ).
fof(f3832,plain,
( p203(sK47(sK91))
| ~ spl92_2
| ~ spl92_16 ),
inference(resolution,[],[f414,f3737]) ).
fof(f3737,plain,
( r1(sK91,sK47(sK91))
| ~ spl92_16 ),
inference(subsumption_resolution,[],[f3736,f560]) ).
fof(f3736,plain,
( r1(sK91,sK47(sK91))
| ~ sP33(sK91)
| ~ spl92_16 ),
inference(resolution,[],[f467,f313]) ).
fof(f313,plain,
! [X0] :
( ~ p303(X0)
| ~ sP33(X0)
| r1(X0,sK47(X0)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f3658,plain,
( ~ spl92_10
| ~ spl92_22 ),
inference(avatar_contradiction_clause,[],[f3657]) ).
fof(f3657,plain,
( $false
| ~ spl92_10
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f3656,f490]) ).
fof(f3656,plain,
( ~ p605(sK91)
| ~ spl92_10 ),
inference(subsumption_resolution,[],[f3655,f524]) ).
fof(f3655,plain,
( ~ sP40(sK91)
| ~ p605(sK91)
| ~ spl92_10 ),
inference(resolution,[],[f445,f286]) ).
fof(f286,plain,
! [X0] :
( ~ p505(X0)
| ~ p605(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3650,plain,
( spl92_127
| ~ spl92_222 ),
inference(avatar_split_clause,[],[f3649,f3641,f2015]) ).
fof(f2015,plain,
( spl92_127
<=> r1(sK91,sK77(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_127])]) ).
fof(f3641,plain,
( spl92_222
<=> p304(sK78(sK91)) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_222])]) ).
fof(f3649,plain,
( r1(sK91,sK77(sK91))
| ~ spl92_222 ),
inference(subsumption_resolution,[],[f3645,f551]) ).
fof(f551,plain,
sP6(sK91),
inference(resolution,[],[f266,f524]) ).
fof(f266,plain,
! [X0] :
( ~ sP40(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f3645,plain,
( r1(sK91,sK77(sK91))
| ~ sP6(sK91)
| ~ spl92_222 ),
inference(resolution,[],[f3643,f375]) ).
fof(f375,plain,
! [X0] :
( ~ p304(sK78(X0))
| r1(X0,sK77(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ( r1(X0,sK77(X0))
& ~ p104(sK77(X0)) )
| ( ~ p304(sK78(X0))
& r1(X0,sK78(X0)) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77,sK78])],[f188,f190,f189]) ).
fof(f189,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p104(X1) )
=> ( r1(X0,sK77(X0))
& ~ p104(sK77(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f190,plain,
! [X0] :
( ? [X2] :
( ~ p304(X2)
& r1(X0,X2) )
=> ( ~ p304(sK78(X0))
& r1(X0,sK78(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p104(X1) )
| ? [X2] :
( ~ p304(X2)
& r1(X0,X2) )
| ~ sP6(X0) ),
inference(rectify,[],[f187]) ).
fof(f187,plain,
! [X1] :
( ? [X37] :
( r1(X1,X37)
& ~ p104(X37) )
| ? [X38] :
( ~ p304(X38)
& r1(X1,X38) )
| ~ sP6(X1) ),
inference(nnf_transformation,[],[f14]) ).
fof(f3643,plain,
( p304(sK78(sK91))
| ~ spl92_222 ),
inference(avatar_component_clause,[],[f3641]) ).
fof(f3644,plain,
( spl92_222
| spl92_127
| ~ spl92_19 ),
inference(avatar_split_clause,[],[f3639,f476,f2015,f3641]) ).
fof(f3639,plain,
( r1(sK91,sK77(sK91))
| p304(sK78(sK91))
| ~ spl92_19 ),
inference(subsumption_resolution,[],[f3618,f551]) ).
fof(f3618,plain,
( p304(sK78(sK91))
| ~ sP6(sK91)
| r1(sK91,sK77(sK91))
| ~ spl92_19 ),
inference(resolution,[],[f477,f374]) ).
fof(f374,plain,
! [X0] :
( r1(X0,sK78(X0))
| r1(X0,sK77(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f3638,plain,
( ~ spl92_13
| ~ spl92_19
| ~ spl92_127 ),
inference(avatar_contradiction_clause,[],[f3637]) ).
fof(f3637,plain,
( $false
| ~ spl92_13
| ~ spl92_19
| ~ spl92_127 ),
inference(subsumption_resolution,[],[f3609,f3471]) ).
fof(f3471,plain,
( ~ p304(sK78(sK91))
| ~ spl92_13
| ~ spl92_127 ),
inference(subsumption_resolution,[],[f3470,f551]) ).
fof(f3470,plain,
( ~ p304(sK78(sK91))
| ~ sP6(sK91)
| ~ spl92_13
| ~ spl92_127 ),
inference(resolution,[],[f3065,f373]) ).
fof(f373,plain,
! [X0] :
( ~ p104(sK77(X0))
| ~ sP6(X0)
| ~ p304(sK78(X0)) ),
inference(cnf_transformation,[],[f191]) ).
fof(f3065,plain,
( p104(sK77(sK91))
| ~ spl92_13
| ~ spl92_127 ),
inference(resolution,[],[f2017,f456]) ).
fof(f456,plain,
( ! [X2] :
( ~ r1(sK91,X2)
| p104(X2) )
| ~ spl92_13 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl92_13
<=> ! [X2] :
( p104(X2)
| ~ r1(sK91,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl92_13])]) ).
fof(f2017,plain,
( r1(sK91,sK77(sK91))
| ~ spl92_127 ),
inference(avatar_component_clause,[],[f2015]) ).
fof(f3609,plain,
( p304(sK78(sK91))
| ~ spl92_13
| ~ spl92_19
| ~ spl92_127 ),
inference(resolution,[],[f477,f3472]) ).
fof(f3472,plain,
( r1(sK91,sK78(sK91))
| ~ spl92_13
| ~ spl92_127 ),
inference(subsumption_resolution,[],[f3469,f551]) ).
fof(f3469,plain,
( r1(sK91,sK78(sK91))
| ~ sP6(sK91)
| ~ spl92_13
| ~ spl92_127 ),
inference(resolution,[],[f3065,f372]) ).
fof(f372,plain,
! [X0] :
( ~ p104(sK77(X0))
| r1(X0,sK78(X0))
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f191]) ).
fof(f3489,plain,
( ~ spl92_5
| ~ spl92_138
| ~ spl92_139 ),
inference(avatar_contradiction_clause,[],[f3488]) ).
fof(f3488,plain,
( $false
| ~ spl92_5
| ~ spl92_138
| ~ spl92_139 ),
inference(subsumption_resolution,[],[f3487,f3204]) ).
fof(f3204,plain,
( p204(sK81(sK91))
| ~ spl92_5
| ~ spl92_138 ),
inference(resolution,[],[f2302,f424]) ).
fof(f2302,plain,
( r1(sK91,sK81(sK91))
| ~ spl92_138 ),
inference(avatar_component_clause,[],[f2300]) ).
fof(f3487,plain,
( ~ p204(sK81(sK91))
| ~ spl92_139 ),
inference(subsumption_resolution,[],[f3486,f546]) ).
fof(f3486,plain,
( ~ sP4(sK91)
| ~ p204(sK81(sK91))
| ~ spl92_139 ),
inference(resolution,[],[f2306,f381]) ).
fof(f381,plain,
! [X0] :
( ~ p104(sK82(X0))
| ~ p204(sK81(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f3483,plain,
( spl92_139
| ~ spl92_5
| ~ spl92_13
| ~ spl92_138 ),
inference(avatar_split_clause,[],[f3480,f2300,f455,f423,f2304]) ).
fof(f3480,plain,
( p104(sK82(sK91))
| ~ spl92_5
| ~ spl92_13
| ~ spl92_138 ),
inference(resolution,[],[f3478,f456]) ).
fof(f3478,plain,
( r1(sK91,sK82(sK91))
| ~ spl92_5
| ~ spl92_138 ),
inference(subsumption_resolution,[],[f3477,f546]) ).
fof(f3477,plain,
( r1(sK91,sK82(sK91))
| ~ sP4(sK91)
| ~ spl92_5
| ~ spl92_138 ),
inference(resolution,[],[f3204,f380]) ).
fof(f380,plain,
! [X0] :
( ~ p204(sK81(X0))
| r1(X0,sK82(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f2688,plain,
( ~ spl92_2
| ~ spl92_6 ),
inference(avatar_contradiction_clause,[],[f2687]) ).
fof(f2687,plain,
( $false
| ~ spl92_2
| ~ spl92_6 ),
inference(subsumption_resolution,[],[f2686,f534]) ).
fof(f534,plain,
sP15(sK91),
inference(resolution,[],[f239,f524]) ).
fof(f239,plain,
! [X0] :
( ~ sP40(X0)
| sP15(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2686,plain,
( ~ sP15(sK91)
| ~ spl92_2
| ~ spl92_6 ),
inference(subsumption_resolution,[],[f2685,f429]) ).
fof(f2685,plain,
( ~ p503(sK91)
| ~ sP15(sK91)
| ~ spl92_2
| ~ spl92_6 ),
inference(resolution,[],[f2661,f348]) ).
fof(f348,plain,
! [X0] :
( ~ p203(sK65(X0))
| ~ p503(X0)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ~ p503(X0)
| ( r1(X0,sK65(X0))
& ~ p203(sK65(X0)) )
| ~ sP15(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65])],[f149,f150]) ).
fof(f150,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p203(X1) )
=> ( r1(X0,sK65(X0))
& ~ p203(sK65(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ~ p503(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p203(X1) )
| ~ sP15(X0) ),
inference(rectify,[],[f148]) ).
fof(f148,plain,
! [X1] :
( ~ p503(X1)
| ? [X47] :
( r1(X1,X47)
& ~ p203(X47) )
| ~ sP15(X1) ),
inference(nnf_transformation,[],[f23]) ).
fof(f2661,plain,
( p203(sK65(sK91))
| ~ spl92_2
| ~ spl92_6 ),
inference(resolution,[],[f414,f2054]) ).
fof(f2054,plain,
( r1(sK91,sK65(sK91))
| ~ spl92_6 ),
inference(subsumption_resolution,[],[f2051,f534]) ).
fof(f2051,plain,
( ~ sP15(sK91)
| r1(sK91,sK65(sK91))
| ~ spl92_6 ),
inference(resolution,[],[f429,f349]) ).
fof(f349,plain,
! [X0] :
( ~ p503(X0)
| r1(X0,sK65(X0))
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f2461,plain,
( ~ spl92_28
| ~ spl92_20 ),
inference(avatar_split_clause,[],[f2460,f479,f513]) ).
fof(f2460,plain,
( ~ p402(sK91)
| ~ spl92_20 ),
inference(subsumption_resolution,[],[f2151,f524]) ).
fof(f2151,plain,
( ~ sP40(sK91)
| ~ p402(sK91)
| ~ spl92_20 ),
inference(resolution,[],[f481,f229]) ).
fof(f229,plain,
! [X0] :
( ~ p302(X0)
| ~ p402(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2459,plain,
( ~ spl92_21
| ~ spl92_4 ),
inference(avatar_split_clause,[],[f2458,f419,f484]) ).
fof(f2458,plain,
( ~ p601(sK91)
| ~ spl92_4 ),
inference(subsumption_resolution,[],[f2371,f524]) ).
fof(f2371,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl92_4 ),
inference(resolution,[],[f421,f276]) ).
fof(f276,plain,
! [X0] :
( ~ p201(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2452,plain,
( ~ spl92_6
| ~ spl92_23 ),
inference(avatar_contradiction_clause,[],[f2451]) ).
fof(f2451,plain,
( $false
| ~ spl92_6
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f2450,f429]) ).
fof(f2450,plain,
( ~ p503(sK91)
| ~ spl92_23 ),
inference(subsumption_resolution,[],[f2449,f524]) ).
fof(f2449,plain,
( ~ sP40(sK91)
| ~ p503(sK91)
| ~ spl92_23 ),
inference(resolution,[],[f494,f231]) ).
fof(f231,plain,
! [X0] :
( ~ p603(X0)
| ~ sP40(X0)
| ~ p503(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2444,plain,
( ~ spl92_13
| ~ spl92_25 ),
inference(avatar_contradiction_clause,[],[f2443]) ).
fof(f2443,plain,
( $false
| ~ spl92_13
| ~ spl92_25 ),
inference(subsumption_resolution,[],[f2442,f537]) ).
fof(f537,plain,
sP18(sK91),
inference(resolution,[],[f243,f524]) ).
fof(f243,plain,
! [X0] :
( ~ sP40(X0)
| sP18(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2442,plain,
( ~ sP18(sK91)
| ~ spl92_13
| ~ spl92_25 ),
inference(subsumption_resolution,[],[f2441,f502]) ).
fof(f2441,plain,
( ~ p604(sK91)
| ~ sP18(sK91)
| ~ spl92_13
| ~ spl92_25 ),
inference(resolution,[],[f2383,f342]) ).
fof(f342,plain,
! [X0] :
( ~ p104(sK62(X0))
| ~ p604(X0)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ~ p604(X0)
| ( r1(X0,sK62(X0))
& ~ p104(sK62(X0)) )
| ~ sP18(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK62])],[f137,f138]) ).
fof(f138,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p104(X1) )
=> ( r1(X0,sK62(X0))
& ~ p104(sK62(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
! [X0] :
( ~ p604(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p104(X1) )
| ~ sP18(X0) ),
inference(rectify,[],[f136]) ).
fof(f136,plain,
! [X1] :
( ~ p604(X1)
| ? [X15] :
( r1(X1,X15)
& ~ p104(X15) )
| ~ sP18(X1) ),
inference(nnf_transformation,[],[f26]) ).
fof(f2383,plain,
( p104(sK62(sK91))
| ~ spl92_13
| ~ spl92_25 ),
inference(resolution,[],[f2379,f456]) ).
fof(f2379,plain,
( r1(sK91,sK62(sK91))
| ~ spl92_25 ),
inference(subsumption_resolution,[],[f2375,f537]) ).
fof(f2375,plain,
( r1(sK91,sK62(sK91))
| ~ sP18(sK91)
| ~ spl92_25 ),
inference(resolution,[],[f502,f343]) ).
fof(f343,plain,
! [X0] :
( ~ p604(X0)
| r1(X0,sK62(X0))
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f2307,plain,
( spl92_138
| spl92_139
| ~ spl92_13 ),
inference(avatar_split_clause,[],[f2298,f455,f2304,f2300]) ).
fof(f2298,plain,
( p104(sK82(sK91))
| r1(sK91,sK81(sK91))
| ~ spl92_13 ),
inference(subsumption_resolution,[],[f2296,f546]) ).
fof(f2296,plain,
( ~ sP4(sK91)
| p104(sK82(sK91))
| r1(sK91,sK81(sK91))
| ~ spl92_13 ),
inference(resolution,[],[f382,f456]) ).
fof(f382,plain,
! [X0] :
( r1(X0,sK82(X0))
| r1(X0,sK81(X0))
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f2153,plain,
( ~ spl92_9
| ~ spl92_20 ),
inference(avatar_split_clause,[],[f2152,f479,f439]) ).
fof(f2152,plain,
( ~ p502(sK91)
| ~ spl92_20 ),
inference(subsumption_resolution,[],[f2149,f524]) ).
fof(f2149,plain,
( ~ sP40(sK91)
| ~ p502(sK91)
| ~ spl92_20 ),
inference(resolution,[],[f481,f299]) ).
fof(f299,plain,
! [X0] :
( ~ p302(X0)
| ~ p502(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2049,plain,
( ~ spl92_1
| ~ spl92_9 ),
inference(avatar_contradiction_clause,[],[f2048]) ).
fof(f2048,plain,
( $false
| ~ spl92_1
| ~ spl92_9 ),
inference(subsumption_resolution,[],[f2047,f441]) ).
fof(f2047,plain,
( ~ p502(sK91)
| ~ spl92_1 ),
inference(subsumption_resolution,[],[f2043,f524]) ).
fof(f2043,plain,
( ~ sP40(sK91)
| ~ p502(sK91)
| ~ spl92_1 ),
inference(resolution,[],[f411,f277]) ).
fof(f277,plain,
! [X0] :
( ~ p202(X0)
| ~ sP40(X0)
| ~ p502(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f2041,plain,
( ~ spl92_4
| ~ spl92_30 ),
inference(avatar_contradiction_clause,[],[f2040]) ).
fof(f2040,plain,
( $false
| ~ spl92_4
| ~ spl92_30 ),
inference(subsumption_resolution,[],[f2039,f524]) ).
fof(f2039,plain,
( ~ sP40(sK91)
| ~ spl92_4
| ~ spl92_30 ),
inference(subsumption_resolution,[],[f2035,f522]) ).
fof(f2035,plain,
( ~ p401(sK91)
| ~ sP40(sK91)
| ~ spl92_4 ),
inference(resolution,[],[f421,f296]) ).
fof(f296,plain,
! [X0] :
( ~ p201(X0)
| ~ sP40(X0)
| ~ p401(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1997,plain,
( spl92_123
| spl92_124
| ~ spl92_5 ),
inference(avatar_split_clause,[],[f1988,f423,f1994,f1990]) ).
fof(f1988,plain,
( r1(sK91,sK75(sK91))
| p204(sK76(sK91))
| ~ spl92_5 ),
inference(subsumption_resolution,[],[f1985,f553]) ).
fof(f1985,plain,
( p204(sK76(sK91))
| ~ sP7(sK91)
| r1(sK91,sK75(sK91))
| ~ spl92_5 ),
inference(resolution,[],[f369,f424]) ).
fof(f369,plain,
! [X0] :
( r1(X0,sK76(X0))
| r1(X0,sK75(X0))
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f1973,plain,
( ~ spl92_3
| ~ spl92_22 ),
inference(avatar_contradiction_clause,[],[f1972]) ).
fof(f1972,plain,
( $false
| ~ spl92_3
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f1971,f490]) ).
fof(f1971,plain,
( ~ p605(sK91)
| ~ spl92_3
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f1970,f552]) ).
fof(f552,plain,
sP28(sK91),
inference(resolution,[],[f267,f524]) ).
fof(f267,plain,
! [X0] :
( ~ sP40(X0)
| sP28(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1970,plain,
( ~ sP28(sK91)
| ~ p605(sK91)
| ~ spl92_3
| ~ spl92_22 ),
inference(resolution,[],[f1960,f322]) ).
fof(f322,plain,
! [X0] :
( ~ p205(sK52(X0))
| ~ sP28(X0)
| ~ p605(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ p605(X0)
| ( r1(X0,sK52(X0))
& ~ p205(sK52(X0)) )
| ~ sP28(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f97,f98]) ).
fof(f98,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p205(X1) )
=> ( r1(X0,sK52(X0))
& ~ p205(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ~ p605(X0)
| ? [X1] :
( r1(X0,X1)
& ~ p205(X1) )
| ~ sP28(X0) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X1] :
( ~ p605(X1)
| ? [X50] :
( r1(X1,X50)
& ~ p205(X50) )
| ~ sP28(X1) ),
inference(nnf_transformation,[],[f36]) ).
fof(f1960,plain,
( p205(sK52(sK91))
| ~ spl92_3
| ~ spl92_22 ),
inference(resolution,[],[f417,f1404]) ).
fof(f1404,plain,
( r1(sK91,sK52(sK91))
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f1401,f552]) ).
fof(f1401,plain,
( ~ sP28(sK91)
| r1(sK91,sK52(sK91))
| ~ spl92_22 ),
inference(resolution,[],[f490,f323]) ).
fof(f323,plain,
! [X0] :
( ~ p605(X0)
| ~ sP28(X0)
| r1(X0,sK52(X0)) ),
inference(cnf_transformation,[],[f99]) ).
fof(f1884,plain,
( ~ spl92_18
| ~ spl92_22 ),
inference(avatar_contradiction_clause,[],[f1883]) ).
fof(f1883,plain,
( $false
| ~ spl92_18
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f1882,f490]) ).
fof(f1882,plain,
( ~ p605(sK91)
| ~ spl92_18
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f1881,f564]) ).
fof(f564,plain,
sP37(sK91),
inference(resolution,[],[f294,f524]) ).
fof(f294,plain,
! [X0] :
( ~ sP40(X0)
| sP37(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1881,plain,
( ~ sP37(sK91)
| ~ p605(sK91)
| ~ spl92_18
| ~ spl92_22 ),
inference(resolution,[],[f1871,f305]) ).
fof(f305,plain,
! [X0] :
( ~ p305(sK43(X0))
| ~ sP37(X0)
| ~ p605(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( ~ p305(sK43(X0))
& r1(X0,sK43(X0)) )
| ~ p605(X0)
| ~ sP37(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f61,f62]) ).
fof(f62,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
=> ( ~ p305(sK43(X0))
& r1(X0,sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( ~ p305(X1)
& r1(X0,X1) )
| ~ p605(X0)
| ~ sP37(X0) ),
inference(rectify,[],[f60]) ).
fof(f60,plain,
! [X1] :
( ? [X23] :
( ~ p305(X23)
& r1(X1,X23) )
| ~ p605(X1)
| ~ sP37(X1) ),
inference(nnf_transformation,[],[f45]) ).
fof(f1871,plain,
( p305(sK43(sK91))
| ~ spl92_18
| ~ spl92_22 ),
inference(resolution,[],[f474,f1406]) ).
fof(f1406,plain,
( r1(sK91,sK43(sK91))
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f1402,f564]) ).
fof(f1402,plain,
( r1(sK91,sK43(sK91))
| ~ sP37(sK91)
| ~ spl92_22 ),
inference(resolution,[],[f490,f304]) ).
fof(f304,plain,
! [X0] :
( ~ p605(X0)
| r1(X0,sK43(X0))
| ~ sP37(X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f1729,plain,
( ~ spl92_16
| ~ spl92_6 ),
inference(avatar_split_clause,[],[f1726,f427,f465]) ).
fof(f1726,plain,
( ~ p303(sK91)
| ~ spl92_6 ),
inference(subsumption_resolution,[],[f1723,f524]) ).
fof(f1723,plain,
( ~ sP40(sK91)
| ~ p303(sK91)
| ~ spl92_6 ),
inference(resolution,[],[f429,f274]) ).
fof(f274,plain,
! [X0] :
( ~ p503(X0)
| ~ p303(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1720,plain,
( ~ spl92_13
| ~ spl92_27 ),
inference(avatar_contradiction_clause,[],[f1719]) ).
fof(f1719,plain,
( $false
| ~ spl92_13
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f1718,f511]) ).
fof(f1718,plain,
( ~ p404(sK91)
| ~ spl92_13
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f1717,f563]) ).
fof(f563,plain,
sP36(sK91),
inference(resolution,[],[f293,f524]) ).
fof(f293,plain,
! [X0] :
( ~ sP40(X0)
| sP36(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1717,plain,
( ~ sP36(sK91)
| ~ p404(sK91)
| ~ spl92_13
| ~ spl92_27 ),
inference(resolution,[],[f1711,f307]) ).
fof(f307,plain,
! [X0] :
( ~ p104(sK44(X0))
| ~ p404(X0)
| ~ sP36(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X0] :
( ( ~ p104(sK44(X0))
& r1(X0,sK44(X0)) )
| ~ p404(X0)
| ~ sP36(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44])],[f65,f66]) ).
fof(f66,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
=> ( ~ p104(sK44(X0))
& r1(X0,sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f65,plain,
! [X0] :
( ? [X1] :
( ~ p104(X1)
& r1(X0,X1) )
| ~ p404(X0)
| ~ sP36(X0) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X1] :
( ? [X24] :
( ~ p104(X24)
& r1(X1,X24) )
| ~ p404(X1)
| ~ sP36(X1) ),
inference(nnf_transformation,[],[f44]) ).
fof(f1711,plain,
( p104(sK44(sK91))
| ~ spl92_13
| ~ spl92_27 ),
inference(resolution,[],[f1708,f456]) ).
fof(f1708,plain,
( r1(sK91,sK44(sK91))
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f1705,f563]) ).
fof(f1705,plain,
( r1(sK91,sK44(sK91))
| ~ sP36(sK91)
| ~ spl92_27 ),
inference(resolution,[],[f511,f306]) ).
fof(f306,plain,
! [X0] :
( ~ p404(X0)
| ~ sP36(X0)
| r1(X0,sK44(X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f1702,plain,
( ~ spl92_8
| ~ spl92_30 ),
inference(avatar_contradiction_clause,[],[f1701]) ).
fof(f1701,plain,
( $false
| ~ spl92_8
| ~ spl92_30 ),
inference(subsumption_resolution,[],[f1700,f524]) ).
fof(f1700,plain,
( ~ sP40(sK91)
| ~ spl92_8
| ~ spl92_30 ),
inference(subsumption_resolution,[],[f1698,f437]) ).
fof(f1698,plain,
( ~ p501(sK91)
| ~ sP40(sK91)
| ~ spl92_30 ),
inference(resolution,[],[f522,f283]) ).
fof(f283,plain,
! [X0] :
( ~ p401(X0)
| ~ sP40(X0)
| ~ p501(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1697,plain,
( ~ spl92_22
| ~ spl92_29 ),
inference(avatar_contradiction_clause,[],[f1696]) ).
fof(f1696,plain,
( $false
| ~ spl92_22
| ~ spl92_29 ),
inference(subsumption_resolution,[],[f1695,f536]) ).
fof(f536,plain,
sP17(sK91),
inference(resolution,[],[f241,f524]) ).
fof(f241,plain,
! [X0] :
( ~ sP40(X0)
| sP17(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1695,plain,
( ~ sP17(sK91)
| ~ spl92_22
| ~ spl92_29 ),
inference(subsumption_resolution,[],[f1694,f490]) ).
fof(f1694,plain,
( ~ p605(sK91)
| ~ sP17(sK91)
| ~ spl92_22
| ~ spl92_29 ),
inference(resolution,[],[f1687,f344]) ).
fof(f344,plain,
! [X0] :
( ~ p405(sK63(X0))
| ~ sP17(X0)
| ~ p605(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( ( r1(X0,sK63(X0))
& ~ p405(sK63(X0)) )
| ~ p605(X0)
| ~ sP17(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f141,f142]) ).
fof(f142,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p405(X1) )
=> ( r1(X0,sK63(X0))
& ~ p405(sK63(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p405(X1) )
| ~ p605(X0)
| ~ sP17(X0) ),
inference(rectify,[],[f140]) ).
fof(f140,plain,
! [X1] :
( ? [X42] :
( r1(X1,X42)
& ~ p405(X42) )
| ~ p605(X1)
| ~ sP17(X1) ),
inference(nnf_transformation,[],[f25]) ).
fof(f1687,plain,
( p405(sK63(sK91))
| ~ spl92_22
| ~ spl92_29 ),
inference(resolution,[],[f518,f1403]) ).
fof(f1403,plain,
( r1(sK91,sK63(sK91))
| ~ spl92_22 ),
inference(subsumption_resolution,[],[f1400,f536]) ).
fof(f1400,plain,
( r1(sK91,sK63(sK91))
| ~ sP17(sK91)
| ~ spl92_22 ),
inference(resolution,[],[f490,f345]) ).
fof(f345,plain,
! [X0] :
( ~ p605(X0)
| r1(X0,sK63(X0))
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f1398,plain,
( ~ spl92_21
| ~ spl92_8 ),
inference(avatar_split_clause,[],[f1395,f435,f484]) ).
fof(f1395,plain,
( ~ p601(sK91)
| ~ spl92_8 ),
inference(subsumption_resolution,[],[f1394,f524]) ).
fof(f1394,plain,
( ~ sP40(sK91)
| ~ p601(sK91)
| ~ spl92_8 ),
inference(resolution,[],[f437,f272]) ).
fof(f272,plain,
! [X0] :
( ~ p501(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1393,plain,
( ~ spl92_7
| spl92_87 ),
inference(avatar_split_clause,[],[f610,f1390,f431]) ).
fof(f610,plain,
( r1(sK91,sK46(sK91))
| ~ p504(sK91) ),
inference(resolution,[],[f311,f561]) ).
fof(f311,plain,
! [X0] :
( ~ sP34(X0)
| ~ p504(X0)
| r1(X0,sK46(X0)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1388,plain,
( ~ spl92_7
| ~ spl92_13 ),
inference(avatar_contradiction_clause,[],[f1387]) ).
fof(f1387,plain,
( $false
| ~ spl92_7
| ~ spl92_13 ),
inference(subsumption_resolution,[],[f1386,f557]) ).
fof(f557,plain,
sP31(sK91),
inference(resolution,[],[f284,f524]) ).
fof(f284,plain,
! [X0] :
( ~ sP40(X0)
| sP31(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1386,plain,
( ~ sP31(sK91)
| ~ spl92_7
| ~ spl92_13 ),
inference(subsumption_resolution,[],[f1385,f433]) ).
fof(f1385,plain,
( ~ p504(sK91)
| ~ sP31(sK91)
| ~ spl92_7
| ~ spl92_13 ),
inference(resolution,[],[f1378,f316]) ).
fof(f316,plain,
! [X0] :
( ~ p104(sK49(X0))
| ~ sP31(X0)
| ~ p504(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0] :
( ( r1(X0,sK49(X0))
& ~ p104(sK49(X0)) )
| ~ p504(X0)
| ~ sP31(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49])],[f85,f86]) ).
fof(f86,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p104(X1) )
=> ( r1(X0,sK49(X0))
& ~ p104(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p104(X1) )
| ~ p504(X0)
| ~ sP31(X0) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X1] :
( ? [X12] :
( r1(X1,X12)
& ~ p104(X12) )
| ~ p504(X1)
| ~ sP31(X1) ),
inference(nnf_transformation,[],[f39]) ).
fof(f1378,plain,
( p104(sK49(sK91))
| ~ spl92_7
| ~ spl92_13 ),
inference(resolution,[],[f456,f757]) ).
fof(f757,plain,
( r1(sK91,sK49(sK91))
| ~ spl92_7 ),
inference(subsumption_resolution,[],[f756,f557]) ).
fof(f756,plain,
( r1(sK91,sK49(sK91))
| ~ sP31(sK91)
| ~ spl92_7 ),
inference(resolution,[],[f317,f433]) ).
fof(f317,plain,
! [X0] :
( ~ p504(X0)
| r1(X0,sK49(X0))
| ~ sP31(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f1130,plain,
( ~ spl92_4
| ~ spl92_12 ),
inference(avatar_split_clause,[],[f1129,f451,f419]) ).
fof(f1129,plain,
( ~ p201(sK91)
| ~ spl92_12 ),
inference(subsumption_resolution,[],[f1120,f524]) ).
fof(f1120,plain,
( ~ sP40(sK91)
| ~ p201(sK91)
| ~ spl92_12 ),
inference(resolution,[],[f453,f228]) ).
fof(f228,plain,
! [X0] :
( ~ p101(X0)
| ~ p201(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1128,plain,
( ~ spl92_12
| ~ spl92_21 ),
inference(avatar_contradiction_clause,[],[f1127]) ).
fof(f1127,plain,
( $false
| ~ spl92_12
| ~ spl92_21 ),
inference(subsumption_resolution,[],[f1126,f524]) ).
fof(f1126,plain,
( ~ sP40(sK91)
| ~ spl92_12
| ~ spl92_21 ),
inference(subsumption_resolution,[],[f1121,f486]) ).
fof(f486,plain,
( p601(sK91)
| ~ spl92_21 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f1121,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl92_12 ),
inference(resolution,[],[f453,f226]) ).
fof(f226,plain,
! [X0] :
( ~ p101(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1125,plain,
( ~ spl92_30
| ~ spl92_12 ),
inference(avatar_split_clause,[],[f1124,f451,f520]) ).
fof(f1124,plain,
( ~ p401(sK91)
| ~ spl92_12 ),
inference(subsumption_resolution,[],[f1119,f524]) ).
fof(f1119,plain,
( ~ p401(sK91)
| ~ sP40(sK91)
| ~ spl92_12 ),
inference(resolution,[],[f453,f234]) ).
fof(f234,plain,
! [X0] :
( ~ p101(X0)
| ~ sP40(X0)
| ~ p401(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1123,plain,
( ~ spl92_8
| ~ spl92_12 ),
inference(avatar_split_clause,[],[f1122,f451,f435]) ).
fof(f1122,plain,
( ~ p501(sK91)
| ~ spl92_12 ),
inference(subsumption_resolution,[],[f1118,f524]) ).
fof(f1118,plain,
( ~ p501(sK91)
| ~ sP40(sK91)
| ~ spl92_12 ),
inference(resolution,[],[f453,f238]) ).
fof(f238,plain,
! [X0] :
( ~ p101(X0)
| ~ p501(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1048,plain,
( ~ spl92_28
| ~ spl92_1 ),
inference(avatar_split_clause,[],[f1044,f409,f513]) ).
fof(f1044,plain,
( ~ p402(sK91)
| ~ spl92_1 ),
inference(subsumption_resolution,[],[f1040,f524]) ).
fof(f1040,plain,
( ~ sP40(sK91)
| ~ p402(sK91)
| ~ spl92_1 ),
inference(resolution,[],[f411,f260]) ).
fof(f260,plain,
! [X0] :
( ~ p202(X0)
| ~ p402(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1043,plain,
( ~ spl92_20
| ~ spl92_1 ),
inference(avatar_split_clause,[],[f1042,f409,f479]) ).
fof(f1042,plain,
( ~ p302(sK91)
| ~ spl92_1 ),
inference(subsumption_resolution,[],[f1041,f524]) ).
fof(f1041,plain,
( ~ sP40(sK91)
| ~ p302(sK91)
| ~ spl92_1 ),
inference(resolution,[],[f411,f255]) ).
fof(f255,plain,
! [X0] :
( ~ p202(X0)
| ~ sP40(X0)
| ~ p302(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f1030,plain,
( spl92_64
| spl92_62
| ~ spl92_2 ),
inference(avatar_split_clause,[],[f1025,f413,f1015,f1027]) ).
fof(f1025,plain,
( r1(sK91,sK73(sK91))
| p203(sK74(sK91))
| ~ spl92_2 ),
inference(subsumption_resolution,[],[f1007,f556]) ).
fof(f1007,plain,
( r1(sK91,sK73(sK91))
| ~ sP8(sK91)
| p203(sK74(sK91))
| ~ spl92_2 ),
inference(resolution,[],[f364,f414]) ).
fof(f364,plain,
! [X0] :
( r1(X0,sK74(X0))
| ~ sP8(X0)
| r1(X0,sK73(X0)) ),
inference(cnf_transformation,[],[f181]) ).
fof(f609,plain,
( ~ spl92_9
| ~ spl92_28 ),
inference(avatar_split_clause,[],[f608,f513,f439]) ).
fof(f608,plain,
( ~ p502(sK91)
| ~ spl92_28 ),
inference(subsumption_resolution,[],[f605,f524]) ).
fof(f605,plain,
( ~ p502(sK91)
| ~ sP40(sK91)
| ~ spl92_28 ),
inference(resolution,[],[f515,f278]) ).
fof(f278,plain,
! [X0] :
( ~ p402(X0)
| ~ sP40(X0)
| ~ p502(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f607,plain,
( ~ spl92_24
| ~ spl92_28 ),
inference(avatar_split_clause,[],[f606,f513,f496]) ).
fof(f606,plain,
( ~ p602(sK91)
| ~ spl92_28 ),
inference(subsumption_resolution,[],[f604,f524]) ).
fof(f604,plain,
( ~ p602(sK91)
| ~ sP40(sK91)
| ~ spl92_28 ),
inference(resolution,[],[f515,f281]) ).
fof(f281,plain,
! [X0] :
( ~ p402(X0)
| ~ sP40(X0)
| ~ p602(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f603,plain,
( ~ spl92_25
| ~ spl92_27 ),
inference(avatar_split_clause,[],[f602,f509,f500]) ).
fof(f602,plain,
( ~ p604(sK91)
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f598,f524]) ).
fof(f598,plain,
( ~ sP40(sK91)
| ~ p604(sK91)
| ~ spl92_27 ),
inference(resolution,[],[f511,f232]) ).
fof(f232,plain,
! [X0] :
( ~ p404(X0)
| ~ p604(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f601,plain,
( ~ spl92_7
| ~ spl92_27 ),
inference(avatar_contradiction_clause,[],[f600]) ).
fof(f600,plain,
( $false
| ~ spl92_7
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f599,f524]) ).
fof(f599,plain,
( ~ sP40(sK91)
| ~ spl92_7
| ~ spl92_27 ),
inference(subsumption_resolution,[],[f597,f433]) ).
fof(f597,plain,
( ~ p504(sK91)
| ~ sP40(sK91)
| ~ spl92_27 ),
inference(resolution,[],[f511,f258]) ).
fof(f258,plain,
! [X0] :
( ~ p404(X0)
| ~ sP40(X0)
| ~ p504(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f596,plain,
( ~ spl92_2
| ~ spl92_26 ),
inference(avatar_contradiction_clause,[],[f595]) ).
fof(f595,plain,
( $false
| ~ spl92_2
| ~ spl92_26 ),
inference(subsumption_resolution,[],[f594,f507]) ).
fof(f594,plain,
( ~ p403(sK91)
| ~ spl92_2
| ~ spl92_26 ),
inference(subsumption_resolution,[],[f593,f565]) ).
fof(f565,plain,
sP38(sK91),
inference(resolution,[],[f295,f524]) ).
fof(f295,plain,
! [X0] :
( ~ sP40(X0)
| sP38(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f593,plain,
( ~ sP38(sK91)
| ~ p403(sK91)
| ~ spl92_2
| ~ spl92_26 ),
inference(resolution,[],[f591,f303]) ).
fof(f303,plain,
! [X0] :
( ~ p203(sK42(X0))
| ~ p403(X0)
| ~ sP38(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ p403(X0)
| ( ~ p203(sK42(X0))
& r1(X0,sK42(X0)) )
| ~ sP38(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f57,f58]) ).
fof(f58,plain,
! [X0] :
( ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
=> ( ~ p203(sK42(X0))
& r1(X0,sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ~ p403(X0)
| ? [X1] :
( ~ p203(X1)
& r1(X0,X1) )
| ~ sP38(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X1] :
( ~ p403(X1)
| ? [X7] :
( ~ p203(X7)
& r1(X1,X7) )
| ~ sP38(X1) ),
inference(nnf_transformation,[],[f46]) ).
fof(f591,plain,
( p203(sK42(sK91))
| ~ spl92_2
| ~ spl92_26 ),
inference(resolution,[],[f588,f414]) ).
fof(f588,plain,
( r1(sK91,sK42(sK91))
| ~ spl92_26 ),
inference(subsumption_resolution,[],[f587,f507]) ).
fof(f587,plain,
( r1(sK91,sK42(sK91))
| ~ p403(sK91) ),
inference(resolution,[],[f302,f565]) ).
fof(f302,plain,
! [X0] :
( ~ sP38(X0)
| ~ p403(X0)
| r1(X0,sK42(X0)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f585,plain,
( ~ spl92_30
| ~ spl92_17 ),
inference(avatar_split_clause,[],[f584,f469,f520]) ).
fof(f584,plain,
( ~ p401(sK91)
| ~ spl92_17 ),
inference(subsumption_resolution,[],[f577,f524]) ).
fof(f577,plain,
( ~ sP40(sK91)
| ~ p401(sK91)
| ~ spl92_17 ),
inference(resolution,[],[f471,f265]) ).
fof(f265,plain,
! [X0] :
( ~ p301(X0)
| ~ p401(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f583,plain,
( ~ spl92_8
| ~ spl92_17 ),
inference(avatar_split_clause,[],[f582,f469,f435]) ).
fof(f582,plain,
( ~ p501(sK91)
| ~ spl92_17 ),
inference(subsumption_resolution,[],[f576,f524]) ).
fof(f576,plain,
( ~ sP40(sK91)
| ~ p501(sK91)
| ~ spl92_17 ),
inference(resolution,[],[f471,f271]) ).
fof(f271,plain,
! [X0] :
( ~ p301(X0)
| ~ sP40(X0)
| ~ p501(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f581,plain,
( ~ spl92_17
| ~ spl92_21 ),
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f580,plain,
( $false
| ~ spl92_17
| ~ spl92_21 ),
inference(subsumption_resolution,[],[f579,f524]) ).
fof(f579,plain,
( ~ sP40(sK91)
| ~ spl92_17
| ~ spl92_21 ),
inference(subsumption_resolution,[],[f578,f486]) ).
fof(f578,plain,
( ~ p601(sK91)
| ~ sP40(sK91)
| ~ spl92_17 ),
inference(resolution,[],[f471,f262]) ).
fof(f262,plain,
! [X0] :
( ~ p301(X0)
| ~ p601(X0)
| ~ sP40(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f523,plain,
( spl92_26
| spl92_27
| spl92_28
| spl92_29
| spl92_30 ),
inference(avatar_split_clause,[],[f400,f520,f517,f513,f509,f505]) ).
fof(f400,plain,
! [X11] :
( p401(sK91)
| p405(X11)
| p402(sK91)
| p404(sK91)
| p403(sK91)
| ~ r1(sK91,X11) ),
inference(cnf_transformation,[],[f224]) ).
fof(f503,plain,
( spl92_21
| spl92_22
| spl92_23
| spl92_24
| spl92_25 ),
inference(avatar_split_clause,[],[f402,f500,f496,f492,f488,f484]) ).
fof(f402,plain,
( p604(sK91)
| p602(sK91)
| p603(sK91)
| p605(sK91)
| p601(sK91) ),
inference(cnf_transformation,[],[f224]) ).
fof(f482,plain,
( spl92_16
| spl92_17
| spl92_18
| spl92_19
| spl92_20 ),
inference(avatar_split_clause,[],[f403,f479,f476,f473,f469,f465]) ).
fof(f403,plain,
! [X8,X9] :
( p302(sK91)
| ~ r1(sK91,X8)
| p304(X8)
| p305(X9)
| ~ r1(sK91,X9)
| p301(sK91)
| p303(sK91) ),
inference(cnf_transformation,[],[f224]) ).
fof(f463,plain,
( spl92_11
| spl92_12
| spl92_13
| spl92_14
| spl92_15 ),
inference(avatar_split_clause,[],[f406,f461,f458,f455,f451,f448]) ).
fof(f406,plain,
! [X2,X3,X1,X4] :
( p102(X4)
| p103(X1)
| p104(X2)
| p101(sK91)
| ~ r1(sK91,X2)
| ~ r1(sK91,X4)
| ~ r1(sK91,X3)
| ~ r1(sK91,X1)
| p105(X3) ),
inference(cnf_transformation,[],[f224]) ).
fof(f446,plain,
( spl92_6
| spl92_7
| spl92_8
| spl92_9
| spl92_10 ),
inference(avatar_split_clause,[],[f404,f443,f439,f435,f431,f427]) ).
fof(f404,plain,
( p505(sK91)
| p502(sK91)
| p501(sK91)
| p504(sK91)
| p503(sK91) ),
inference(cnf_transformation,[],[f224]) ).
fof(f425,plain,
( spl92_1
| spl92_2
| spl92_3
| spl92_4
| spl92_5 ),
inference(avatar_split_clause,[],[f405,f423,f419,f416,f413,f409]) ).
fof(f405,plain,
! [X6,X7,X5] :
( ~ r1(sK91,X6)
| p201(sK91)
| p205(X7)
| p203(X5)
| p204(X6)
| p202(sK91)
| ~ r1(sK91,X5)
| ~ r1(sK91,X7) ),
inference(cnf_transformation,[],[f224]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : LCL666+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.36 % Computer : n014.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Tue Aug 30 02:21:33 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.54 % (3362)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.54 % (3362)Instruction limit reached!
% 0.21/0.54 % (3362)------------------------------
% 0.21/0.54 % (3362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (3377)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.54 % (3361)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (3362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (3362)Termination reason: Unknown
% 0.21/0.54 % (3362)Termination phase: shuffling
% 0.21/0.54
% 0.21/0.54 % (3362)Memory used [KB]: 895
% 0.21/0.54 % (3362)Time elapsed: 0.004 s
% 0.21/0.54 % (3362)Instructions burned: 2 (million)
% 0.21/0.54 % (3362)------------------------------
% 0.21/0.54 % (3362)------------------------------
% 0.21/0.55 % (3369)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.55 % (3378)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55 % (3370)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.25/0.55 % (3361)Instruction limit reached!
% 1.25/0.55 % (3361)------------------------------
% 1.25/0.55 % (3361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.56 % (3361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.56 % (3361)Termination reason: Unknown
% 1.25/0.56 % (3361)Termination phase: Saturation
% 1.25/0.56
% 1.25/0.56 % (3361)Memory used [KB]: 5756
% 1.25/0.56 % (3361)Time elapsed: 0.126 s
% 1.25/0.56 % (3361)Instructions burned: 8 (million)
% 1.25/0.56 % (3361)------------------------------
% 1.25/0.56 % (3361)------------------------------
% 1.58/0.57 % (3364)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.58/0.59 % (3365)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.60 % (3358)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.60 % (3360)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.60 % (3357)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.60 % (3359)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.58/0.60 % (3363)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.61 % (3355)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.58/0.61 % (3382)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.58/0.61 % (3379)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.58/0.61 % (3383)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.58/0.61 % (3381)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.58/0.61 % (3355)Refutation not found, incomplete strategy% (3355)------------------------------
% 1.58/0.61 % (3355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.61 % (3355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.61 % (3355)Termination reason: Refutation not found, incomplete strategy
% 1.58/0.61
% 1.58/0.61 % (3355)Memory used [KB]: 5884
% 1.58/0.61 % (3355)Time elapsed: 0.187 s
% 1.58/0.61 % (3355)Instructions burned: 10 (million)
% 1.58/0.61 % (3355)------------------------------
% 1.58/0.61 % (3355)------------------------------
% 1.58/0.61 % (3374)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.58/0.61 % (3380)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.58/0.62 % (3367)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.58/0.62 % (3354)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.58/0.62 % (3356)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.58/0.62 % (3366)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.58/0.62 % (3372)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.62 % (3371)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.58/0.62 % (3375)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.58/0.63 % (3373)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.58/0.63 TRYING [1]
% 1.58/0.64 % (3376)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.58/0.65 % (3369)Instruction limit reached!
% 1.58/0.65 % (3369)------------------------------
% 1.58/0.65 % (3369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.65 % (3369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.65 % (3369)Termination reason: Unknown
% 1.58/0.65 % (3369)Termination phase: Saturation
% 1.58/0.65
% 1.58/0.65 % (3369)Memory used [KB]: 1535
% 1.58/0.65 % (3369)Time elapsed: 0.213 s
% 1.58/0.65 % (3369)Instructions burned: 75 (million)
% 1.58/0.65 % (3369)------------------------------
% 1.58/0.65 % (3369)------------------------------
% 1.58/0.65 TRYING [1]
% 1.58/0.65 TRYING [2]
% 1.58/0.65 TRYING [1]
% 1.58/0.65 TRYING [2]
% 1.58/0.66 % (3368)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 2.24/0.67 TRYING [2]
% 2.24/0.68 TRYING [3]
% 2.24/0.68 TRYING [3]
% 2.24/0.68 TRYING [3]
% 2.24/0.68 % (3364)Instruction limit reached!
% 2.24/0.68 % (3364)------------------------------
% 2.24/0.68 % (3364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.68 % (3364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.68 % (3364)Termination reason: Unknown
% 2.24/0.68 % (3364)Termination phase: Saturation
% 2.24/0.68
% 2.24/0.68 % (3364)Memory used [KB]: 7803
% 2.24/0.68 % (3364)Time elapsed: 0.251 s
% 2.24/0.68 % (3364)Instructions burned: 51 (million)
% 2.24/0.68 % (3364)------------------------------
% 2.24/0.68 % (3364)------------------------------
% 2.43/0.71 TRYING [4]
% 2.43/0.71 % (3377)First to succeed.
% 2.43/0.71 TRYING [4]
% 2.43/0.71 % (3358)Instruction limit reached!
% 2.43/0.71 % (3358)------------------------------
% 2.43/0.71 % (3358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.71 % (3358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.71 % (3358)Termination reason: Unknown
% 2.43/0.71 % (3358)Termination phase: Saturation
% 2.43/0.71
% 2.43/0.71 % (3358)Memory used [KB]: 7803
% 2.43/0.71 % (3358)Time elapsed: 0.285 s
% 2.43/0.71 % (3358)Instructions burned: 51 (million)
% 2.43/0.71 % (3358)------------------------------
% 2.43/0.71 % (3358)------------------------------
% 2.43/0.71 % (3360)Instruction limit reached!
% 2.43/0.71 % (3360)------------------------------
% 2.43/0.71 % (3360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.71 % (3360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.71 % (3360)Termination reason: Unknown
% 2.43/0.71 % (3360)Termination phase: Finite model building constraint generation
% 2.43/0.71
% 2.43/0.71 % (3360)Memory used [KB]: 6652
% 2.43/0.71 % (3360)Time elapsed: 0.284 s
% 2.43/0.71 % (3360)Instructions burned: 51 (million)
% 2.43/0.71 % (3360)------------------------------
% 2.43/0.71 % (3360)------------------------------
% 2.43/0.72 % (3357)Instruction limit reached!
% 2.43/0.72 % (3357)------------------------------
% 2.43/0.72 % (3357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.72 % (3357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.72 % (3357)Termination reason: Unknown
% 2.43/0.72 % (3357)Termination phase: Saturation
% 2.43/0.72
% 2.43/0.72 % (3357)Memory used [KB]: 6780
% 2.43/0.72 % (3363)Instruction limit reached!
% 2.43/0.72 % (3363)------------------------------
% 2.43/0.72 % (3363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.72 % (3357)Time elapsed: 0.284 s
% 2.43/0.72 % (3357)Instructions burned: 51 (million)
% 2.43/0.72 % (3363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.72 % (3357)------------------------------
% 2.43/0.72 % (3357)------------------------------
% 2.43/0.72 % (3363)Termination reason: Unknown
% 2.43/0.72 % (3363)Termination phase: Saturation
% 2.43/0.72
% 2.43/0.72 % (3363)Memory used [KB]: 1663
% 2.43/0.72 % (3363)Time elapsed: 0.250 s
% 2.43/0.72 % (3363)Instructions burned: 52 (million)
% 2.43/0.72 % (3363)------------------------------
% 2.43/0.72 % (3363)------------------------------
% 2.43/0.72 % (3359)Instruction limit reached!
% 2.43/0.72 % (3359)------------------------------
% 2.43/0.72 % (3359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.43/0.72 % (3359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.43/0.72 % (3359)Termination reason: Unknown
% 2.43/0.72 % (3359)Termination phase: Saturation
% 2.43/0.72
% 2.43/0.72 % (3359)Memory used [KB]: 7164
% 2.43/0.72 % (3359)Time elapsed: 0.285 s
% 2.43/0.72 % (3359)Instructions burned: 48 (million)
% 2.43/0.72 % (3359)------------------------------
% 2.43/0.72 % (3359)------------------------------
% 2.71/0.72 % (3356)Instruction limit reached!
% 2.71/0.72 % (3356)------------------------------
% 2.71/0.72 % (3356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.72 % (3356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.72 % (3356)Termination reason: Unknown
% 2.71/0.72 % (3356)Termination phase: Saturation
% 2.71/0.72
% 2.71/0.72 % (3356)Memory used [KB]: 1663
% 2.71/0.72 % (3356)Time elapsed: 0.259 s
% 2.71/0.72 % (3356)Instructions burned: 37 (million)
% 2.71/0.72 % (3356)------------------------------
% 2.71/0.72 % (3356)------------------------------
% 2.71/0.73 % (3371)Instruction limit reached!
% 2.71/0.73 % (3371)------------------------------
% 2.71/0.73 % (3371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.71/0.73 % (3371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.71/0.73 % (3371)Termination reason: Unknown
% 2.71/0.73 % (3371)Termination phase: Finite model building constraint generation
% 2.71/0.73
% 2.71/0.73 % (3371)Memory used [KB]: 7164
% 2.71/0.73 % (3371)Time elapsed: 0.248 s
% 2.71/0.73 % (3371)Instructions burned: 59 (million)
% 2.71/0.73 % (3371)------------------------------
% 2.71/0.73 % (3371)------------------------------
% 2.76/0.73 TRYING [4]
% 2.76/0.73 % (3377)Refutation found. Thanks to Tanya!
% 2.76/0.73 % SZS status Theorem for theBenchmark
% 2.76/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.76/0.74 % (3377)------------------------------
% 2.76/0.74 % (3377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.76/0.74 % (3377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.76/0.74 % (3377)Termination reason: Refutation
% 2.76/0.74
% 2.76/0.74 % (3377)Memory used [KB]: 8571
% 2.76/0.74 % (3377)Time elapsed: 0.286 s
% 2.76/0.74 % (3377)Instructions burned: 169 (million)
% 2.76/0.74 % (3377)------------------------------
% 2.76/0.74 % (3377)------------------------------
% 2.76/0.74 % (3352)Success in time 0.358 s
%------------------------------------------------------------------------------