TSTP Solution File: LCL642+1.005 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL642+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n016.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 : Tue Apr 30 13:47:06 EDT 2024
% Result : Theorem 0.15s 0.41s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 79
% Syntax : Number of formulae : 344 ( 5 unt; 0 def)
% Number of atoms : 3044 ( 0 equ)
% Maximal formula atoms : 191 ( 8 avg)
% Number of connectives : 4472 (1772 ~;2044 |; 597 &)
% ( 33 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 35 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 58 ( 57 usr; 34 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 7 con; 0-1 aty)
% Number of variables : 1085 ( 846 !; 239 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1807,plain,
$false,
inference(avatar_sat_refutation,[],[f300,f305,f310,f581,f705,f782,f806,f922,f960,f980,f981,f986,f1005,f1052,f1089,f1092,f1094,f1104,f1142,f1143,f1281,f1284,f1335,f1339,f1410,f1415,f1495,f1500,f1601,f1632,f1737,f1739,f1783,f1800,f1806]) ).
fof(f1806,plain,
( ~ spl61_29
| spl61_51
| ~ spl61_116 ),
inference(avatar_contradiction_clause,[],[f1805]) ).
fof(f1805,plain,
( $false
| ~ spl61_29
| spl61_51
| ~ spl61_116 ),
inference(subsumption_resolution,[],[f1804,f388]) ).
fof(f388,plain,
( r1(sK47,sK29(sK47))
| ~ spl61_29 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f386,plain,
( spl61_29
<=> r1(sK47,sK29(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_29])]) ).
fof(f1804,plain,
( ~ r1(sK47,sK29(sK47))
| spl61_51
| ~ spl61_116 ),
inference(subsumption_resolution,[],[f1803,f514]) ).
fof(f514,plain,
( ~ p2(sK29(sK47))
| spl61_51 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl61_51
<=> p2(sK29(sK47)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_51])]) ).
fof(f1803,plain,
( p2(sK29(sK47))
| ~ r1(sK47,sK29(sK47))
| ~ spl61_116 ),
inference(resolution,[],[f1024,f217]) ).
fof(f217,plain,
! [X16] :
( ~ p2(sK56(X16))
| p2(X16)
| ~ r1(sK47,X16) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK48(X1),X3) )
& ~ p2(sK48(X1))
& r1(X1,sK48(X1)) )
| p2(X1)
| ~ r1(sK47,X1) )
& ( ( sP18(sK49)
& r1(sK49,sK50)
& ~ p1(sK49)
& r1(sK47,sK49) )
| ! [X7] : ~ r1(sK47,X7)
| p1(sK47) )
& ( sP17(sK47)
| ! [X8] : ~ r1(sK47,X8)
| p1(sK47)
| p2(sK47) )
& ( sP15(sK47)
| ! [X9] : ~ r1(sK47,X9)
| p1(sK47)
| p2(sK47)
| p3(sK47) )
& ( sP13(sK47)
| ! [X10] : ~ r1(sK47,X10)
| p1(sK47)
| p2(sK47)
| p3(sK47)
| p4(sK47) )
& ( ( sP10(sK51)
& sP9(sK51)
& r1(sK47,sK51) )
| sP11(sK47) )
& ! [X12] :
( ( p1(sK52(X12))
& ~ p1(sK53(X12))
& r1(sK52(X12),sK53(X12))
& r1(X12,sK52(X12)) )
| p1(X12)
| ~ r1(sK47,X12) )
& ~ p1(sK54)
& r1(sK47,sK54)
& ! [X16] :
( ( p2(sK55(X16))
& ~ p2(sK56(X16))
& r1(sK55(X16),sK56(X16))
& r1(X16,sK55(X16)) )
| p2(X16)
| ~ r1(sK47,X16) )
& ~ p2(sK57)
& r1(sK47,sK57)
& ! [X20] :
( ( p3(sK58(X20))
& ~ p3(sK59(X20))
& r1(sK58(X20),sK59(X20))
& r1(X20,sK58(X20)) )
| p3(X20)
| ~ r1(sK47,X20) )
& ~ p3(sK60)
& r1(sK47,sK60) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54,sK55,sK56,sK57,sK58,sK59,sK60])],[f111,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112]) ).
fof(f112,plain,
( ? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP18(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP17(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP15(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP13(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP10(X11)
& sP9(X11)
& r1(X0,X11) )
| sP11(X0) )
& ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ? [X15] :
( ~ p1(X15)
& r1(X0,X15) )
& ! [X16] :
( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16)
| ~ r1(X0,X16) )
& ? [X19] :
( ~ p2(X19)
& r1(X0,X19) )
& ! [X20] :
( ? [X21] :
( p3(X21)
& ? [X22] :
( ~ p3(X22)
& r1(X21,X22) )
& r1(X20,X21) )
| p3(X20)
| ~ r1(X0,X20) )
& ? [X23] :
( ~ p3(X23)
& r1(X0,X23) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK47,X1) )
& ( ? [X5] :
( sP18(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK47,X5) )
| ! [X7] : ~ r1(sK47,X7)
| p1(sK47) )
& ( sP17(sK47)
| ! [X8] : ~ r1(sK47,X8)
| p1(sK47)
| p2(sK47) )
& ( sP15(sK47)
| ! [X9] : ~ r1(sK47,X9)
| p1(sK47)
| p2(sK47)
| p3(sK47) )
& ( sP13(sK47)
| ! [X10] : ~ r1(sK47,X10)
| p1(sK47)
| p2(sK47)
| p3(sK47)
| p4(sK47) )
& ( ? [X11] :
( sP10(X11)
& sP9(X11)
& r1(sK47,X11) )
| sP11(sK47) )
& ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p1(X12)
| ~ r1(sK47,X12) )
& ? [X15] :
( ~ p1(X15)
& r1(sK47,X15) )
& ! [X16] :
( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16)
| ~ r1(sK47,X16) )
& ? [X19] :
( ~ p2(X19)
& r1(sK47,X19) )
& ! [X20] :
( ? [X21] :
( p3(X21)
& ? [X22] :
( ~ p3(X22)
& r1(X21,X22) )
& r1(X20,X21) )
| p3(X20)
| ~ r1(sK47,X20) )
& ? [X23] :
( ~ p3(X23)
& r1(sK47,X23) ) ) ),
introduced(choice_axiom,[]) ).
fof(f113,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK48(X1),X3) )
& ~ p2(sK48(X1))
& r1(X1,sK48(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f114,plain,
( ? [X5] :
( sP18(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK47,X5) )
=> ( sP18(sK49)
& ? [X6] : r1(sK49,X6)
& ~ p1(sK49)
& r1(sK47,sK49) ) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
( ? [X6] : r1(sK49,X6)
=> r1(sK49,sK50) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ? [X11] :
( sP10(X11)
& sP9(X11)
& r1(sK47,X11) )
=> ( sP10(sK51)
& sP9(sK51)
& r1(sK47,sK51) ) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
=> ( p1(sK52(X12))
& ? [X14] :
( ~ p1(X14)
& r1(sK52(X12),X14) )
& r1(X12,sK52(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X12] :
( ? [X14] :
( ~ p1(X14)
& r1(sK52(X12),X14) )
=> ( ~ p1(sK53(X12))
& r1(sK52(X12),sK53(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
( ? [X15] :
( ~ p1(X15)
& r1(sK47,X15) )
=> ( ~ p1(sK54)
& r1(sK47,sK54) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X16] :
( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
=> ( p2(sK55(X16))
& ? [X18] :
( ~ p2(X18)
& r1(sK55(X16),X18) )
& r1(X16,sK55(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f121,plain,
! [X16] :
( ? [X18] :
( ~ p2(X18)
& r1(sK55(X16),X18) )
=> ( ~ p2(sK56(X16))
& r1(sK55(X16),sK56(X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f122,plain,
( ? [X19] :
( ~ p2(X19)
& r1(sK47,X19) )
=> ( ~ p2(sK57)
& r1(sK47,sK57) ) ),
introduced(choice_axiom,[]) ).
fof(f123,plain,
! [X20] :
( ? [X21] :
( p3(X21)
& ? [X22] :
( ~ p3(X22)
& r1(X21,X22) )
& r1(X20,X21) )
=> ( p3(sK58(X20))
& ? [X22] :
( ~ p3(X22)
& r1(sK58(X20),X22) )
& r1(X20,sK58(X20)) ) ),
introduced(choice_axiom,[]) ).
fof(f124,plain,
! [X20] :
( ? [X22] :
( ~ p3(X22)
& r1(sK58(X20),X22) )
=> ( ~ p3(sK59(X20))
& r1(sK58(X20),sK59(X20)) ) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
( ? [X23] :
( ~ p3(X23)
& r1(sK47,X23) )
=> ( ~ p3(sK60)
& r1(sK47,sK60) ) ),
introduced(choice_axiom,[]) ).
fof(f111,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP18(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP17(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP15(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP13(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP10(X11)
& sP9(X11)
& r1(X0,X11) )
| sP11(X0) )
& ! [X12] :
( ? [X13] :
( p1(X13)
& ? [X14] :
( ~ p1(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p1(X12)
| ~ r1(X0,X12) )
& ? [X15] :
( ~ p1(X15)
& r1(X0,X15) )
& ! [X16] :
( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16)
| ~ r1(X0,X16) )
& ? [X19] :
( ~ p2(X19)
& r1(X0,X19) )
& ! [X20] :
( ? [X21] :
( p3(X21)
& ? [X22] :
( ~ p3(X22)
& r1(X21,X22) )
& r1(X20,X21) )
| p3(X20)
| ~ r1(X0,X20) )
& ? [X23] :
( ~ p3(X23)
& r1(X0,X23) ) ),
inference(rectify,[],[f27]) ).
fof(f27,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( sP18(X5)
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( sP17(X0)
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( sP15(X0)
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP13(X0)
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( sP10(X33)
& sP9(X33)
& r1(X0,X33) )
| sP11(X0) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ! [X80] :
( ? [X81] :
( p3(X81)
& ? [X82] :
( ~ p3(X82)
& r1(X81,X82) )
& r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
& ? [X83] :
( ~ p3(X83)
& r1(X0,X83) ) ),
inference(definition_folding,[],[f7,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f8,plain,
! [X0] :
( ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X0] :
( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0)
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X33] :
( ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) )
| ~ sP2(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X33] :
( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ~ sP3(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X44] :
( ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) )
| ~ sP4(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X44] :
( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44)
| ~ sP5(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X34] :
( ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) )
| ~ sP6(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X34] :
( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ~ sP7(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
! [X34] :
( ! [X44] :
( ( sP5(X44)
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| sP4(X44) ) )
| ~ r1(X34,X44) )
| ~ sP8(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f17,plain,
! [X33] :
( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( sP3(X33)
& sP2(X33) )
| ~ sP9(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f18,plain,
! [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( sP7(X34)
& sP6(X34) )
| sP8(X34)
| ~ r1(X33,X34) )
| ~ sP10(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
! [X0] :
( ( sP1(X0)
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| sP0(X0) ) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ~ sP12(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
! [X0] :
( ? [X26] :
( ! [X27] :
( sP12(X27)
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
! [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ~ sP14(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
! [X0] :
( ? [X19] :
( sP14(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
! [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ~ sP16(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
! [X0] :
( ? [X12] :
( sP16(X12)
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
! [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ sP18(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f7,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) ) )
& r1(X0,X33) )
| ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ! [X80] :
( ? [X81] :
( p3(X81)
& ? [X82] :
( ~ p3(X82)
& r1(X81,X82) )
& r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
& ? [X83] :
( ~ p3(X83)
& r1(X0,X83) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
? [X0] :
( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ? [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ? [X12] :
( ! [X13] :
( ( ? [X14] : r1(X13,X14)
& ~ p1(X13)
& ~ p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ? [X19] :
( ! [X20] :
( ( ? [X21] : r1(X20,X21)
& ~ p1(X20)
& ~ p2(X20)
& ~ p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X26] :
( ! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
& ? [X31] : r1(X26,X31)
& ~ p1(X26)
& ~ p2(X26)
& ~ p3(X26)
& ~ p4(X26)
& r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
& ? [X40] :
( ? [X41] :
( ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
& ~ p2(X41)
& r1(X40,X41) )
& r1(X34,X40) ) )
| ! [X44] :
( ( ( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44) )
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ? [X52] :
( p2(X52)
& ? [X53] :
( ~ p2(X53)
& r1(X52,X53) )
& r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
& ( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
& ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) ) ) )
& r1(X0,X33) )
| ( ( ? [X63] :
( p2(X63)
& ? [X64] :
( ~ p2(X64)
& r1(X63,X64) )
& r1(X0,X63) )
| p2(X0) )
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) )
& ! [X72] :
( ? [X73] :
( p1(X73)
& ? [X74] :
( ~ p1(X74)
& r1(X73,X74) )
& r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
& ? [X75] :
( ~ p1(X75)
& r1(X0,X75) )
& ! [X76] :
( ? [X77] :
( p2(X77)
& ? [X78] :
( ~ p2(X78)
& r1(X77,X78) )
& r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
& ? [X79] :
( ~ p2(X79)
& r1(X0,X79) )
& ! [X80] :
( ? [X81] :
( p3(X81)
& ? [X82] :
( ~ p3(X82)
& r1(X81,X82) )
& r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
& ? [X83] :
( ~ p3(X83)
& r1(X0,X83) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ~ ! [X80] :
( ~ ! [X81] :
( ~ p3(X81)
| ! [X82] :
( p3(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ~ ! [X80] :
( ~ ! [X81] :
( ~ p3(X81)
| ! [X82] :
( p3(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) ) ),
inference(true_and_false_elimination,[],[f3]) ).
fof(f3,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] :
( $false
| ~ r1(X6,X7) )
| p1(X6) )
| ! [X8] :
( ! [X9] :
( $false
| ~ r1(X8,X9) )
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] :
( $false
| ~ r1(X5,X10) )
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] :
( $false
| ~ r1(X0,X11) )
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] :
( $false
| ~ r1(X13,X14) )
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] :
( $false
| ~ r1(X15,X16) )
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] :
( $false
| ~ r1(X12,X17) )
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] :
( $false
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] :
( $false
| ~ r1(X20,X21) )
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] :
( $false
| ~ r1(X22,X23) )
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] :
( $false
| ~ r1(X19,X24) )
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] :
( $false
| ~ r1(X0,X25) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] :
( $false
| ~ r1(X27,X28) )
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] :
( $false
| ~ r1(X29,X30) )
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] :
( $false
| ~ r1(X26,X31) )
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] :
( $false
| ~ r1(X0,X32) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
| p2(X34) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X34,X40) ) ) )
| ! [X44] :
( ( ( ~ ! [X45] :
( ~ p2(X45)
| ! [X46] :
( p2(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p2(X44) )
& ( ~ ! [X47] :
( ~ ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
| p2(X47)
| ~ r1(X44,X47) )
| ! [X50] :
( ! [X51] :
( ~ ! [X52] :
( ~ p2(X52)
| ! [X53] :
( p2(X53)
| ~ r1(X52,X53) )
| ~ r1(X51,X52) )
| p2(X51)
| ~ r1(X50,X51) )
| ~ r1(X44,X50) ) ) )
| ~ r1(X34,X44) )
| ~ r1(X33,X34) )
| ( ( ~ ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
| p2(X33) )
& ( ~ ! [X56] :
( ~ ! [X57] :
( ~ p2(X57)
| ! [X58] :
( p2(X58)
| ~ r1(X57,X58) )
| ~ r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ! [X59] :
( ! [X60] :
( ~ ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
| p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X33,X59) ) ) )
| ~ r1(X0,X33) )
| ( ( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( p2(X64)
| ~ r1(X63,X64) )
| ~ r1(X0,X63) )
| p2(X0) )
& ( ~ ! [X65] :
( ~ ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
| p2(X65)
| ~ r1(X0,X65) )
| ! [X68] :
( ! [X69] :
( ~ ! [X70] :
( ~ p2(X70)
| ! [X71] :
( p2(X71)
| ~ r1(X70,X71) )
| ~ r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) ) ) ) ) )
| ~ ! [X72] :
( ~ ! [X73] :
( ~ p1(X73)
| ! [X74] :
( p1(X74)
| ~ r1(X73,X74) )
| ~ r1(X72,X73) )
| p1(X72)
| ~ r1(X0,X72) )
| ! [X75] :
( p1(X75)
| ~ r1(X0,X75) )
| ~ ! [X76] :
( ~ ! [X77] :
( ~ p2(X77)
| ! [X78] :
( p2(X78)
| ~ r1(X77,X78) )
| ~ r1(X76,X77) )
| p2(X76)
| ~ r1(X0,X76) )
| ! [X79] :
( p2(X79)
| ~ r1(X0,X79) )
| ~ ! [X80] :
( ~ ! [X81] :
( ~ p3(X81)
| ! [X82] :
( p3(X82)
| ~ r1(X81,X82) )
| ~ r1(X80,X81) )
| p3(X80)
| ~ r1(X0,X80) )
| ! [X83] :
( p3(X83)
| ~ r1(X0,X83) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f1024,plain,
( p2(sK56(sK29(sK47)))
| ~ spl61_116 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1022,plain,
( spl61_116
<=> p2(sK56(sK29(sK47))) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_116])]) ).
fof(f1800,plain,
( spl61_116
| ~ spl61_29
| spl61_51
| ~ spl61_113 ),
inference(avatar_split_clause,[],[f1799,f1003,f513,f386,f1022]) ).
fof(f1003,plain,
( spl61_113
<=> ! [X0] :
( p2(X0)
| ~ r1(sK55(sK29(sK47)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_113])]) ).
fof(f1799,plain,
( p2(sK56(sK29(sK47)))
| ~ spl61_29
| spl61_51
| ~ spl61_113 ),
inference(subsumption_resolution,[],[f1798,f388]) ).
fof(f1798,plain,
( p2(sK56(sK29(sK47)))
| ~ r1(sK47,sK29(sK47))
| spl61_51
| ~ spl61_113 ),
inference(subsumption_resolution,[],[f1793,f514]) ).
fof(f1793,plain,
( p2(sK56(sK29(sK47)))
| p2(sK29(sK47))
| ~ r1(sK47,sK29(sK47))
| ~ spl61_113 ),
inference(resolution,[],[f1004,f216]) ).
fof(f216,plain,
! [X16] :
( r1(sK55(X16),sK56(X16))
| p2(X16)
| ~ r1(sK47,X16) ),
inference(cnf_transformation,[],[f126]) ).
fof(f1004,plain,
( ! [X0] :
( ~ r1(sK55(sK29(sK47)),X0)
| p2(X0) )
| ~ spl61_113 ),
inference(avatar_component_clause,[],[f1003]) ).
fof(f1783,plain,
( ~ spl61_32
| ~ spl61_33
| spl61_63
| ~ spl61_77
| ~ spl61_170
| ~ spl61_171 ),
inference(avatar_contradiction_clause,[],[f1782]) ).
fof(f1782,plain,
( $false
| ~ spl61_32
| ~ spl61_33
| spl61_63
| ~ spl61_77
| ~ spl61_170
| ~ spl61_171 ),
inference(subsumption_resolution,[],[f1781,f1148]) ).
fof(f1148,plain,
( r1(sK51,sK41(sK51))
| ~ spl61_33 ),
inference(resolution,[],[f408,f195]) ).
fof(f195,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK41(X0)) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK42(X0),X3) )
& ~ p2(sK42(X0))
& r1(sK41(X0),sK42(X0))
& r1(X0,sK41(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42])],[f97,f99,f98]) ).
fof(f98,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK41(X0),X2) )
& r1(X0,sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK41(X0),X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK42(X0),X3) )
& ~ p2(sK42(X0))
& r1(sK41(X0),sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X33] :
( ? [X59] :
( ? [X60] :
( ! [X61] :
( ~ p2(X61)
| ! [X62] :
( p2(X62)
| ~ r1(X61,X62) )
| ~ r1(X60,X61) )
& ~ p2(X60)
& r1(X59,X60) )
& r1(X33,X59) )
| ~ sP2(X33) ),
inference(nnf_transformation,[],[f10]) ).
fof(f408,plain,
( sP2(sK51)
| ~ spl61_33 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f406,plain,
( spl61_33
<=> sP2(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_33])]) ).
fof(f1781,plain,
( ~ r1(sK51,sK41(sK51))
| ~ spl61_32
| ~ spl61_33
| spl61_63
| ~ spl61_77
| ~ spl61_170
| ~ spl61_171 ),
inference(resolution,[],[f1780,f403]) ).
fof(f403,plain,
( sP3(sK51)
| ~ spl61_32 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f401,plain,
( spl61_32
<=> sP3(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_32])]) ).
fof(f1780,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK41(sK51)) )
| ~ spl61_32
| ~ spl61_33
| spl61_63
| ~ spl61_77
| ~ spl61_170
| ~ spl61_171 ),
inference(subsumption_resolution,[],[f1779,f589]) ).
fof(f589,plain,
( ~ p2(sK41(sK51))
| spl61_63 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl61_63
<=> p2(sK41(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_63])]) ).
fof(f1779,plain,
( ! [X0] :
( p2(sK41(sK51))
| ~ r1(X0,sK41(sK51))
| ~ sP3(X0) )
| ~ spl61_32
| ~ spl61_33
| spl61_63
| ~ spl61_77
| ~ spl61_170
| ~ spl61_171 ),
inference(resolution,[],[f1756,f193]) ).
fof(f193,plain,
! [X0,X1] :
( ~ p2(sK40(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( ( p2(sK39(X1))
& ~ p2(sK40(X1))
& r1(sK39(X1),sK40(X1))
& r1(X1,sK39(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40])],[f92,f94,f93]) ).
fof(f93,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK39(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK39(X1),X3) )
& r1(X1,sK39(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK39(X1),X3) )
=> ( ~ p2(sK40(X1))
& r1(sK39(X1),sK40(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f91]) ).
fof(f91,plain,
! [X33] :
( ! [X56] :
( ? [X57] :
( p2(X57)
& ? [X58] :
( ~ p2(X58)
& r1(X57,X58) )
& r1(X56,X57) )
| p2(X56)
| ~ r1(X33,X56) )
| ~ sP3(X33) ),
inference(nnf_transformation,[],[f11]) ).
fof(f1756,plain,
( p2(sK40(sK41(sK51)))
| ~ spl61_32
| ~ spl61_33
| spl61_63
| ~ spl61_77
| ~ spl61_170
| ~ spl61_171 ),
inference(subsumption_resolution,[],[f1755,f589]) ).
fof(f1755,plain,
( p2(sK40(sK41(sK51)))
| p2(sK41(sK51))
| ~ spl61_32
| ~ spl61_33
| ~ spl61_77
| ~ spl61_170
| ~ spl61_171 ),
inference(subsumption_resolution,[],[f1750,f1148]) ).
fof(f1750,plain,
( p2(sK40(sK41(sK51)))
| ~ r1(sK51,sK41(sK51))
| p2(sK41(sK51))
| ~ spl61_32
| ~ spl61_77
| ~ spl61_170
| ~ spl61_171 ),
inference(resolution,[],[f1749,f1144]) ).
fof(f1144,plain,
( ! [X0] :
( r1(sK39(X0),sK40(X0))
| ~ r1(sK51,X0)
| p2(X0) )
| ~ spl61_32 ),
inference(resolution,[],[f403,f192]) ).
fof(f192,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK39(X1),sK40(X1)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f1749,plain,
( ! [X0] :
( ~ r1(sK39(sK41(sK51)),X0)
| p2(X0) )
| ~ spl61_77
| ~ spl61_170
| ~ spl61_171 ),
inference(subsumption_resolution,[],[f1743,f1414]) ).
fof(f1414,plain,
( p2(sK39(sK41(sK51)))
| ~ spl61_171 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1412,plain,
( spl61_171
<=> p2(sK39(sK41(sK51))) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_171])]) ).
fof(f1743,plain,
( ! [X0] :
( ~ p2(sK39(sK41(sK51)))
| p2(X0)
| ~ r1(sK39(sK41(sK51)),X0) )
| ~ spl61_77
| ~ spl61_170 ),
inference(resolution,[],[f697,f1409]) ).
fof(f1409,plain,
( r1(sK41(sK51),sK39(sK41(sK51)))
| ~ spl61_170 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1407,plain,
( spl61_170
<=> r1(sK41(sK51),sK39(sK41(sK51))) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_170])]) ).
fof(f697,plain,
( ! [X0,X1] :
( ~ r1(sK41(sK51),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl61_77 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl61_77
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ p2(X0)
| p2(X1)
| ~ r1(sK41(sK51),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_77])]) ).
fof(f1739,plain,
( ~ spl61_63
| spl61_184
| ~ spl61_14
| ~ spl61_33
| spl61_65 ),
inference(avatar_split_clause,[],[f1738,f595,f406,f297,f1497,f587]) ).
fof(f1497,plain,
( spl61_184
<=> sP7(sK41(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_184])]) ).
fof(f297,plain,
( spl61_14
<=> sP10(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_14])]) ).
fof(f595,plain,
( spl61_65
<=> sP8(sK41(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_65])]) ).
fof(f1738,plain,
( sP7(sK41(sK51))
| ~ p2(sK41(sK51))
| ~ spl61_14
| ~ spl61_33
| spl61_65 ),
inference(subsumption_resolution,[],[f1153,f596]) ).
fof(f596,plain,
( ~ sP8(sK41(sK51))
| spl61_65 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f1153,plain,
( sP8(sK41(sK51))
| sP7(sK41(sK51))
| ~ p2(sK41(sK51))
| ~ spl61_14
| ~ spl61_33 ),
inference(resolution,[],[f1148,f530]) ).
fof(f530,plain,
( ! [X0] :
( ~ r1(sK51,X0)
| sP8(X0)
| sP7(X0)
| ~ p2(X0) )
| ~ spl61_14 ),
inference(resolution,[],[f164,f299]) ).
fof(f299,plain,
( sP10(sK51)
| ~ spl61_14 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f164,plain,
! [X0,X1] :
( ~ sP10(X0)
| sP7(X1)
| sP8(X1)
| ~ r1(X0,X1)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ( sP7(X1)
& sP6(X1) )
| sP8(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X33] :
( ! [X34] :
( ( ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X34,X35) )
& ~ p2(X34) )
| ( sP7(X34)
& sP6(X34) )
| sP8(X34)
| ~ r1(X33,X34) )
| ~ sP10(X33) ),
inference(nnf_transformation,[],[f18]) ).
fof(f1737,plain,
( spl61_72
| ~ spl61_184
| ~ spl61_197
| ~ spl61_198 ),
inference(avatar_contradiction_clause,[],[f1736]) ).
fof(f1736,plain,
( $false
| spl61_72
| ~ spl61_184
| ~ spl61_197
| ~ spl61_198 ),
inference(subsumption_resolution,[],[f1735,f1595]) ).
fof(f1595,plain,
( r1(sK41(sK51),sK42(sK51))
| ~ spl61_197 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1594,plain,
( spl61_197
<=> r1(sK41(sK51),sK42(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_197])]) ).
fof(f1735,plain,
( ~ r1(sK41(sK51),sK42(sK51))
| spl61_72
| ~ spl61_184
| ~ spl61_198 ),
inference(resolution,[],[f1681,f1499]) ).
fof(f1499,plain,
( sP7(sK41(sK51))
| ~ spl61_184 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1681,plain,
( ! [X0] :
( ~ sP7(X0)
| ~ r1(X0,sK42(sK51)) )
| spl61_72
| ~ spl61_198 ),
inference(subsumption_resolution,[],[f1680,f656]) ).
fof(f656,plain,
( ~ p2(sK42(sK51))
| spl61_72 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f655,plain,
( spl61_72
<=> p2(sK42(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_72])]) ).
fof(f1680,plain,
( ! [X0] :
( p2(sK42(sK51))
| ~ r1(X0,sK42(sK51))
| ~ sP7(X0) )
| ~ spl61_198 ),
inference(resolution,[],[f1600,f177]) ).
fof(f177,plain,
! [X0,X1] :
( ~ p2(sK32(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ( p2(sK31(X1))
& ~ p2(sK32(X1))
& r1(sK31(X1),sK32(X1))
& r1(X1,sK31(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f72,f74,f73]) ).
fof(f73,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK31(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK31(X1),X3) )
& r1(X1,sK31(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK31(X1),X3) )
=> ( ~ p2(sK32(X1))
& r1(sK31(X1),sK32(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X34] :
( ! [X37] :
( ? [X38] :
( p2(X38)
& ? [X39] :
( ~ p2(X39)
& r1(X38,X39) )
& r1(X37,X38) )
| p2(X37)
| ~ r1(X34,X37) )
| ~ sP7(X34) ),
inference(nnf_transformation,[],[f15]) ).
fof(f1600,plain,
( p2(sK32(sK42(sK51)))
| ~ spl61_198 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f1598,plain,
( spl61_198
<=> p2(sK32(sK42(sK51))) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_198])]) ).
fof(f1632,plain,
( ~ spl61_33
| spl61_197 ),
inference(avatar_contradiction_clause,[],[f1631]) ).
fof(f1631,plain,
( $false
| ~ spl61_33
| spl61_197 ),
inference(subsumption_resolution,[],[f1630,f408]) ).
fof(f1630,plain,
( ~ sP2(sK51)
| spl61_197 ),
inference(resolution,[],[f1596,f196]) ).
fof(f196,plain,
! [X0] :
( r1(sK41(X0),sK42(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f1596,plain,
( ~ r1(sK41(sK51),sK42(sK51))
| spl61_197 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1601,plain,
( ~ spl61_197
| spl61_198
| ~ spl61_33
| spl61_72
| ~ spl61_184 ),
inference(avatar_split_clause,[],[f1592,f1497,f655,f406,f1598,f1594]) ).
fof(f1592,plain,
( p2(sK32(sK42(sK51)))
| ~ r1(sK41(sK51),sK42(sK51))
| ~ spl61_33
| spl61_72
| ~ spl61_184 ),
inference(subsumption_resolution,[],[f1586,f656]) ).
fof(f1586,plain,
( p2(sK32(sK42(sK51)))
| ~ r1(sK41(sK51),sK42(sK51))
| p2(sK42(sK51))
| ~ spl61_33
| spl61_72
| ~ spl61_184 ),
inference(resolution,[],[f1585,f1508]) ).
fof(f1508,plain,
( ! [X0] :
( r1(sK31(X0),sK32(X0))
| ~ r1(sK41(sK51),X0)
| p2(X0) )
| ~ spl61_184 ),
inference(resolution,[],[f1499,f176]) ).
fof(f176,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK31(X1),sK32(X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1585,plain,
( ! [X0] :
( ~ r1(sK31(sK42(sK51)),X0)
| p2(X0) )
| ~ spl61_33
| spl61_72
| ~ spl61_184 ),
inference(subsumption_resolution,[],[f1584,f1520]) ).
fof(f1520,plain,
( p2(sK31(sK42(sK51)))
| ~ spl61_33
| spl61_72
| ~ spl61_184 ),
inference(subsumption_resolution,[],[f1519,f408]) ).
fof(f1519,plain,
( p2(sK31(sK42(sK51)))
| ~ sP2(sK51)
| spl61_72
| ~ spl61_184 ),
inference(subsumption_resolution,[],[f1513,f656]) ).
fof(f1513,plain,
( p2(sK42(sK51))
| p2(sK31(sK42(sK51)))
| ~ sP2(sK51)
| ~ spl61_184 ),
inference(resolution,[],[f1510,f196]) ).
fof(f1510,plain,
( ! [X0] :
( ~ r1(sK41(sK51),X0)
| p2(X0)
| p2(sK31(X0)) )
| ~ spl61_184 ),
inference(resolution,[],[f1499,f178]) ).
fof(f178,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK31(X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1584,plain,
( ! [X0] :
( ~ r1(sK31(sK42(sK51)),X0)
| p2(X0)
| ~ p2(sK31(sK42(sK51))) )
| ~ spl61_33
| spl61_72
| ~ spl61_184 ),
inference(resolution,[],[f1537,f1147]) ).
fof(f1147,plain,
( ! [X0,X1] :
( ~ r1(sK42(sK51),X1)
| ~ r1(X1,X0)
| p2(X0)
| ~ p2(X1) )
| ~ spl61_33 ),
inference(resolution,[],[f408,f198]) ).
fof(f198,plain,
! [X3,X0,X4] :
( ~ sP2(X0)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK42(X0),X3)
| ~ p2(X3) ),
inference(cnf_transformation,[],[f100]) ).
fof(f1537,plain,
( r1(sK42(sK51),sK31(sK42(sK51)))
| ~ spl61_33
| spl61_72
| ~ spl61_184 ),
inference(subsumption_resolution,[],[f1536,f408]) ).
fof(f1536,plain,
( r1(sK42(sK51),sK31(sK42(sK51)))
| ~ sP2(sK51)
| spl61_72
| ~ spl61_184 ),
inference(subsumption_resolution,[],[f1530,f656]) ).
fof(f1530,plain,
( p2(sK42(sK51))
| r1(sK42(sK51),sK31(sK42(sK51)))
| ~ sP2(sK51)
| ~ spl61_184 ),
inference(resolution,[],[f1509,f196]) ).
fof(f1509,plain,
( ! [X0] :
( ~ r1(sK41(sK51),X0)
| p2(X0)
| r1(X0,sK31(X0)) )
| ~ spl61_184 ),
inference(resolution,[],[f1499,f175]) ).
fof(f175,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK31(X1)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1500,plain,
( spl61_65
| spl61_184
| spl61_77
| ~ spl61_14
| ~ spl61_33 ),
inference(avatar_split_clause,[],[f1155,f406,f297,f696,f1497,f595]) ).
fof(f1155,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK41(sK51),X0)
| sP7(sK41(sK51))
| sP8(sK41(sK51))
| p2(X1)
| ~ p2(X0) )
| ~ spl61_14
| ~ spl61_33 ),
inference(resolution,[],[f1148,f711]) ).
fof(f711,plain,
( ! [X2,X0,X1] :
( ~ r1(sK51,X2)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| sP7(X2)
| sP8(X2)
| p2(X0)
| ~ p2(X1) )
| ~ spl61_14 ),
inference(resolution,[],[f166,f299]) ).
fof(f166,plain,
! [X2,X3,X0,X1] :
( ~ sP10(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| sP7(X1)
| sP8(X1)
| ~ r1(X0,X1)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f1495,plain,
( ~ spl61_33
| ~ spl61_65
| spl61_72
| ~ spl61_158 ),
inference(avatar_contradiction_clause,[],[f1494]) ).
fof(f1494,plain,
( $false
| ~ spl61_33
| ~ spl61_65
| spl61_72
| ~ spl61_158 ),
inference(subsumption_resolution,[],[f1493,f1193]) ).
fof(f1193,plain,
( sP5(sK42(sK51))
| ~ spl61_33
| ~ spl61_65 ),
inference(subsumption_resolution,[],[f1187,f408]) ).
fof(f1187,plain,
( sP5(sK42(sK51))
| ~ sP2(sK51)
| ~ spl61_65 ),
inference(resolution,[],[f1151,f196]) ).
fof(f1151,plain,
( ! [X0] :
( ~ r1(sK41(sK51),X0)
| sP5(X0) )
| ~ spl61_65 ),
inference(resolution,[],[f597,f174]) ).
fof(f174,plain,
! [X0,X1] :
( ~ sP8(X0)
| ~ r1(X0,X1)
| sP5(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( ( sP5(X1)
& ( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK30(X1),X3) )
& ~ p2(sK30(X1))
& r1(X1,sK30(X1)) )
| sP4(X1) ) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f68,f69]) ).
fof(f69,plain,
! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK30(X1),X3) )
& ~ p2(sK30(X1))
& r1(X1,sK30(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f68,plain,
! [X0] :
( ! [X1] :
( ( sP5(X1)
& ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| sP4(X1) ) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X34] :
( ! [X44] :
( ( sP5(X44)
& ( ? [X47] :
( ! [X48] :
( ~ p2(X48)
| ! [X49] :
( p2(X49)
| ~ r1(X48,X49) )
| ~ r1(X47,X48) )
& ~ p2(X47)
& r1(X44,X47) )
| sP4(X44) ) )
| ~ r1(X34,X44) )
| ~ sP8(X34) ),
inference(nnf_transformation,[],[f16]) ).
fof(f597,plain,
( sP8(sK41(sK51))
| ~ spl61_65 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f1493,plain,
( ~ sP5(sK42(sK51))
| ~ spl61_33
| ~ spl61_65
| spl61_72
| ~ spl61_158 ),
inference(subsumption_resolution,[],[f1492,f656]) ).
fof(f1492,plain,
( p2(sK42(sK51))
| ~ sP5(sK42(sK51))
| ~ spl61_33
| ~ spl61_65
| spl61_72
| ~ spl61_158 ),
inference(resolution,[],[f1469,f185]) ).
fof(f185,plain,
! [X0] :
( ~ p2(sK36(X0))
| p2(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ( p2(sK35(X0))
& ~ p2(sK36(X0))
& r1(sK35(X0),sK36(X0))
& r1(X0,sK35(X0)) )
| p2(X0)
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36])],[f82,f84,f83]) ).
fof(f83,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK35(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK35(X0),X2) )
& r1(X0,sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK35(X0),X2) )
=> ( ~ p2(sK36(X0))
& r1(sK35(X0),sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0)
| ~ sP5(X0) ),
inference(rectify,[],[f81]) ).
fof(f81,plain,
! [X44] :
( ? [X45] :
( p2(X45)
& ? [X46] :
( ~ p2(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p2(X44)
| ~ sP5(X44) ),
inference(nnf_transformation,[],[f13]) ).
fof(f1469,plain,
( p2(sK36(sK42(sK51)))
| ~ spl61_33
| ~ spl61_65
| spl61_72
| ~ spl61_158 ),
inference(subsumption_resolution,[],[f1468,f1193]) ).
fof(f1468,plain,
( p2(sK36(sK42(sK51)))
| ~ sP5(sK42(sK51))
| spl61_72
| ~ spl61_158 ),
inference(subsumption_resolution,[],[f1463,f656]) ).
fof(f1463,plain,
( p2(sK36(sK42(sK51)))
| p2(sK42(sK51))
| ~ sP5(sK42(sK51))
| ~ spl61_158 ),
inference(resolution,[],[f1334,f184]) ).
fof(f184,plain,
! [X0] :
( r1(sK35(X0),sK36(X0))
| p2(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1334,plain,
( ! [X0] :
( ~ r1(sK35(sK42(sK51)),X0)
| p2(X0) )
| ~ spl61_158 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1333,plain,
( spl61_158
<=> ! [X0] :
( ~ r1(sK35(sK42(sK51)),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_158])]) ).
fof(f1415,plain,
( spl61_171
| spl61_63
| ~ spl61_32
| ~ spl61_33 ),
inference(avatar_split_clause,[],[f1160,f406,f401,f587,f1412]) ).
fof(f1160,plain,
( p2(sK41(sK51))
| p2(sK39(sK41(sK51)))
| ~ spl61_32
| ~ spl61_33 ),
inference(resolution,[],[f1146,f1148]) ).
fof(f1146,plain,
( ! [X0] :
( ~ r1(sK51,X0)
| p2(X0)
| p2(sK39(X0)) )
| ~ spl61_32 ),
inference(resolution,[],[f403,f194]) ).
fof(f194,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK39(X1)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f1410,plain,
( spl61_170
| spl61_63
| ~ spl61_32
| ~ spl61_33 ),
inference(avatar_split_clause,[],[f1169,f406,f401,f587,f1407]) ).
fof(f1169,plain,
( p2(sK41(sK51))
| r1(sK41(sK51),sK39(sK41(sK51)))
| ~ spl61_32
| ~ spl61_33 ),
inference(resolution,[],[f1145,f1148]) ).
fof(f1145,plain,
( ! [X0] :
( ~ r1(sK51,X0)
| p2(X0)
| r1(X0,sK39(X0)) )
| ~ spl61_32 ),
inference(resolution,[],[f403,f191]) ).
fof(f191,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK39(X1)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f1339,plain,
( ~ spl61_33
| ~ spl61_65
| spl61_72
| spl61_157 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| ~ spl61_33
| ~ spl61_65
| spl61_72
| spl61_157 ),
inference(subsumption_resolution,[],[f1337,f1193]) ).
fof(f1337,plain,
( ~ sP5(sK42(sK51))
| spl61_72
| spl61_157 ),
inference(subsumption_resolution,[],[f1336,f656]) ).
fof(f1336,plain,
( p2(sK42(sK51))
| ~ sP5(sK42(sK51))
| spl61_157 ),
inference(resolution,[],[f1331,f186]) ).
fof(f186,plain,
! [X0] :
( p2(sK35(X0))
| p2(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1331,plain,
( ~ p2(sK35(sK42(sK51)))
| spl61_157 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1329,plain,
( spl61_157
<=> p2(sK35(sK42(sK51))) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_157])]) ).
fof(f1335,plain,
( ~ spl61_157
| spl61_158
| ~ spl61_33
| ~ spl61_147 ),
inference(avatar_split_clause,[],[f1327,f1278,f406,f1333,f1329]) ).
fof(f1278,plain,
( spl61_147
<=> r1(sK42(sK51),sK35(sK42(sK51))) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_147])]) ).
fof(f1327,plain,
( ! [X0] :
( ~ r1(sK35(sK42(sK51)),X0)
| p2(X0)
| ~ p2(sK35(sK42(sK51))) )
| ~ spl61_33
| ~ spl61_147 ),
inference(resolution,[],[f1280,f1147]) ).
fof(f1280,plain,
( r1(sK42(sK51),sK35(sK42(sK51)))
| ~ spl61_147 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1284,plain,
( ~ spl61_33
| ~ spl61_72 ),
inference(avatar_contradiction_clause,[],[f1283]) ).
fof(f1283,plain,
( $false
| ~ spl61_33
| ~ spl61_72 ),
inference(subsumption_resolution,[],[f1282,f408]) ).
fof(f1282,plain,
( ~ sP2(sK51)
| ~ spl61_72 ),
inference(resolution,[],[f657,f197]) ).
fof(f197,plain,
! [X0] :
( ~ p2(sK42(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f657,plain,
( p2(sK42(sK51))
| ~ spl61_72 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f1281,plain,
( spl61_147
| spl61_72
| ~ spl61_33
| ~ spl61_65 ),
inference(avatar_split_clause,[],[f1276,f595,f406,f655,f1278]) ).
fof(f1276,plain,
( p2(sK42(sK51))
| r1(sK42(sK51),sK35(sK42(sK51)))
| ~ spl61_33
| ~ spl61_65 ),
inference(resolution,[],[f1193,f183]) ).
fof(f183,plain,
! [X0] :
( ~ sP5(X0)
| p2(X0)
| r1(X0,sK35(X0)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1143,plain,
( spl61_33
| spl61_127
| ~ spl61_15 ),
inference(avatar_split_clause,[],[f1083,f302,f1087,f406]) ).
fof(f1087,plain,
( spl61_127
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK51,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_127])]) ).
fof(f302,plain,
( spl61_15
<=> sP9(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_15])]) ).
fof(f1083,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK51,X1)
| sP2(sK51)
| ~ p2(X1) )
| ~ spl61_15 ),
inference(resolution,[],[f304,f169]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ sP9(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP2(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] :
( ( ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ~ p2(X0) )
| ( sP3(X0)
& sP2(X0) )
| ~ sP9(X0) ),
inference(rectify,[],[f65]) ).
fof(f65,plain,
! [X33] :
( ( ! [X54] :
( ~ p2(X54)
| ! [X55] :
( p2(X55)
| ~ r1(X54,X55) )
| ~ r1(X33,X54) )
& ~ p2(X33) )
| ( sP3(X33)
& sP2(X33) )
| ~ sP9(X33) ),
inference(nnf_transformation,[],[f17]) ).
fof(f304,plain,
( sP9(sK51)
| ~ spl61_15 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f1142,plain,
( ~ spl61_16
| spl61_31
| ~ spl61_128 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1141,plain,
( $false
| ~ spl61_16
| spl61_31
| ~ spl61_128 ),
inference(subsumption_resolution,[],[f1140,f309]) ).
fof(f309,plain,
( r1(sK47,sK51)
| ~ spl61_16 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f307,plain,
( spl61_16
<=> r1(sK47,sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_16])]) ).
fof(f1140,plain,
( ~ r1(sK47,sK51)
| ~ spl61_16
| spl61_31
| ~ spl61_128 ),
inference(subsumption_resolution,[],[f1139,f399]) ).
fof(f399,plain,
( ~ p2(sK51)
| spl61_31 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f397,plain,
( spl61_31
<=> p2(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_31])]) ).
fof(f1139,plain,
( p2(sK51)
| ~ r1(sK47,sK51)
| ~ spl61_16
| spl61_31
| ~ spl61_128 ),
inference(resolution,[],[f1116,f217]) ).
fof(f1116,plain,
( p2(sK56(sK51))
| ~ spl61_16
| spl61_31
| ~ spl61_128 ),
inference(subsumption_resolution,[],[f1115,f309]) ).
fof(f1115,plain,
( p2(sK56(sK51))
| ~ r1(sK47,sK51)
| spl61_31
| ~ spl61_128 ),
inference(subsumption_resolution,[],[f1110,f399]) ).
fof(f1110,plain,
( p2(sK56(sK51))
| p2(sK51)
| ~ r1(sK47,sK51)
| ~ spl61_128 ),
inference(resolution,[],[f1103,f216]) ).
fof(f1103,plain,
( ! [X0] :
( ~ r1(sK55(sK51),X0)
| p2(X0) )
| ~ spl61_128 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1102,plain,
( spl61_128
<=> ! [X0] :
( p2(X0)
| ~ r1(sK55(sK51),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_128])]) ).
fof(f1104,plain,
( spl61_128
| ~ spl61_62
| ~ spl61_16
| spl61_31
| ~ spl61_127 ),
inference(avatar_split_clause,[],[f1100,f1087,f397,f307,f577,f1102]) ).
fof(f577,plain,
( spl61_62
<=> p2(sK55(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_62])]) ).
fof(f1100,plain,
( ! [X0] :
( ~ p2(sK55(sK51))
| p2(X0)
| ~ r1(sK55(sK51),X0) )
| ~ spl61_16
| spl61_31
| ~ spl61_127 ),
inference(subsumption_resolution,[],[f1099,f309]) ).
fof(f1099,plain,
( ! [X0] :
( ~ p2(sK55(sK51))
| p2(X0)
| ~ r1(sK55(sK51),X0)
| ~ r1(sK47,sK51) )
| spl61_31
| ~ spl61_127 ),
inference(subsumption_resolution,[],[f1097,f399]) ).
fof(f1097,plain,
( ! [X0] :
( ~ p2(sK55(sK51))
| p2(X0)
| ~ r1(sK55(sK51),X0)
| p2(sK51)
| ~ r1(sK47,sK51) )
| ~ spl61_127 ),
inference(resolution,[],[f1088,f215]) ).
fof(f215,plain,
! [X16] :
( r1(X16,sK55(X16))
| p2(X16)
| ~ r1(sK47,X16) ),
inference(cnf_transformation,[],[f126]) ).
fof(f1088,plain,
( ! [X0,X1] :
( ~ r1(sK51,X1)
| ~ p2(X1)
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl61_127 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1094,plain,
( ~ spl61_31
| ~ spl61_15
| spl61_33 ),
inference(avatar_split_clause,[],[f1093,f406,f302,f397]) ).
fof(f1093,plain,
( ~ p2(sK51)
| ~ spl61_15
| spl61_33 ),
inference(subsumption_resolution,[],[f1085,f407]) ).
fof(f407,plain,
( ~ sP2(sK51)
| spl61_33 ),
inference(avatar_component_clause,[],[f406]) ).
fof(f1085,plain,
( sP2(sK51)
| ~ p2(sK51)
| ~ spl61_15 ),
inference(resolution,[],[f304,f167]) ).
fof(f167,plain,
! [X0] :
( ~ sP9(X0)
| sP2(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f1092,plain,
( ~ spl61_31
| spl61_32
| ~ spl61_15 ),
inference(avatar_split_clause,[],[f1084,f302,f401,f397]) ).
fof(f1084,plain,
( sP3(sK51)
| ~ p2(sK51)
| ~ spl61_15 ),
inference(resolution,[],[f304,f168]) ).
fof(f168,plain,
! [X0] :
( ~ sP9(X0)
| sP3(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f1089,plain,
( spl61_32
| spl61_127
| ~ spl61_15 ),
inference(avatar_split_clause,[],[f1082,f302,f1087,f401]) ).
fof(f1082,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK51,X1)
| sP3(sK51)
| ~ p2(X1) )
| ~ spl61_15 ),
inference(resolution,[],[f304,f170]) ).
fof(f170,plain,
! [X2,X0,X1] :
( ~ sP9(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP3(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f66]) ).
fof(f1052,plain,
( ~ spl61_13
| spl61_30
| ~ spl61_51 ),
inference(avatar_split_clause,[],[f1049,f513,f390,f293]) ).
fof(f293,plain,
( spl61_13
<=> sP11(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_13])]) ).
fof(f390,plain,
( spl61_30
<=> sP0(sK47) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_30])]) ).
fof(f1049,plain,
( ~ sP11(sK47)
| spl61_30
| ~ spl61_51 ),
inference(subsumption_resolution,[],[f1048,f391]) ).
fof(f391,plain,
( ~ sP0(sK47)
| spl61_30 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f1048,plain,
( sP0(sK47)
| ~ sP11(sK47)
| ~ spl61_51 ),
inference(resolution,[],[f515,f160]) ).
fof(f160,plain,
! [X0] :
( ~ p2(sK29(X0))
| sP0(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0] :
( ( sP1(X0)
& ( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK29(X0),X2) )
& ~ p2(sK29(X0))
& r1(X0,sK29(X0)) )
| sP0(X0) ) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f60,f61]) ).
fof(f61,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK29(X0),X2) )
& ~ p2(sK29(X0))
& r1(X0,sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
! [X0] :
( ( sP1(X0)
& ( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
| sP0(X0) ) )
| ~ sP11(X0) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ( sP1(X0)
& ( ? [X65] :
( ! [X66] :
( ~ p2(X66)
| ! [X67] :
( p2(X67)
| ~ r1(X66,X67) )
| ~ r1(X65,X66) )
& ~ p2(X65)
& r1(X0,X65) )
| sP0(X0) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f515,plain,
( p2(sK29(sK47))
| ~ spl61_51 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f1005,plain,
( spl61_51
| spl61_113
| ~ spl61_50
| ~ spl61_29
| ~ spl61_78 ),
inference(avatar_split_clause,[],[f1001,f703,f386,f509,f1003,f513]) ).
fof(f509,plain,
( spl61_50
<=> p2(sK55(sK29(sK47))) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_50])]) ).
fof(f703,plain,
( spl61_78
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK29(sK47),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_78])]) ).
fof(f1001,plain,
( ! [X0] :
( ~ p2(sK55(sK29(sK47)))
| p2(X0)
| ~ r1(sK55(sK29(sK47)),X0)
| p2(sK29(sK47)) )
| ~ spl61_29
| ~ spl61_78 ),
inference(subsumption_resolution,[],[f990,f388]) ).
fof(f990,plain,
( ! [X0] :
( ~ p2(sK55(sK29(sK47)))
| p2(X0)
| ~ r1(sK55(sK29(sK47)),X0)
| p2(sK29(sK47))
| ~ r1(sK47,sK29(sK47)) )
| ~ spl61_78 ),
inference(resolution,[],[f704,f215]) ).
fof(f704,plain,
( ! [X0,X1] :
( ~ r1(sK29(sK47),X1)
| ~ p2(X1)
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl61_78 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f986,plain,
( spl61_50
| spl61_51
| ~ spl61_29 ),
inference(avatar_split_clause,[],[f983,f386,f513,f509]) ).
fof(f983,plain,
( p2(sK29(sK47))
| p2(sK55(sK29(sK47)))
| ~ spl61_29 ),
inference(resolution,[],[f388,f218]) ).
fof(f218,plain,
! [X16] :
( ~ r1(sK47,X16)
| p2(X16)
| p2(sK55(X16)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f981,plain,
( spl61_29
| spl61_30
| ~ spl61_13 ),
inference(avatar_split_clause,[],[f700,f293,f390,f386]) ).
fof(f700,plain,
( sP0(sK47)
| r1(sK47,sK29(sK47))
| ~ spl61_13 ),
inference(resolution,[],[f295,f159]) ).
fof(f159,plain,
! [X0] :
( ~ sP11(X0)
| sP0(X0)
| r1(X0,sK29(X0)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f295,plain,
( sP11(sK47)
| ~ spl61_13 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f980,plain,
( ~ spl61_30
| spl61_86
| ~ spl61_101
| ~ spl61_102 ),
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f979,plain,
( $false
| ~ spl61_30
| spl61_86
| ~ spl61_101
| ~ spl61_102 ),
inference(subsumption_resolution,[],[f974,f213]) ).
fof(f213,plain,
r1(sK47,sK57),
inference(cnf_transformation,[],[f126]) ).
fof(f974,plain,
( ~ r1(sK47,sK57)
| ~ spl61_30
| spl61_86
| ~ spl61_101
| ~ spl61_102 ),
inference(resolution,[],[f972,f916]) ).
fof(f916,plain,
( r1(sK57,sK48(sK57))
| ~ spl61_101 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f915,plain,
( spl61_101
<=> r1(sK57,sK48(sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_101])]) ).
fof(f972,plain,
( ! [X0] :
( ~ r1(X0,sK48(sK57))
| ~ r1(sK47,X0) )
| ~ spl61_30
| spl61_86
| ~ spl61_102 ),
inference(resolution,[],[f971,f392]) ).
fof(f392,plain,
( sP0(sK47)
| ~ spl61_30 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f971,plain,
( ! [X0,X1] :
( ~ sP0(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK48(sK57)) )
| spl61_86
| ~ spl61_102 ),
inference(subsumption_resolution,[],[f970,f780]) ).
fof(f780,plain,
( ~ p2(sK48(sK57))
| spl61_86 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f779,plain,
( spl61_86
<=> p2(sK48(sK57)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_86])]) ).
fof(f970,plain,
( ! [X0,X1] :
( p2(sK48(sK57))
| ~ r1(X0,sK48(sK57))
| ~ r1(X1,X0)
| ~ sP0(X1) )
| ~ spl61_102 ),
inference(resolution,[],[f921,f205]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ p2(sK46(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK45(X2))
& ~ p2(sK46(X2))
& r1(sK45(X2),sK46(X2))
& r1(X2,sK45(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46])],[f107,f109,f108]) ).
fof(f108,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK45(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK45(X2),X4) )
& r1(X2,sK45(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f109,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK45(X2),X4) )
=> ( ~ p2(sK46(X2))
& r1(sK45(X2),sK46(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ! [X68] :
( ! [X69] :
( ? [X70] :
( p2(X70)
& ? [X71] :
( ~ p2(X71)
& r1(X70,X71) )
& r1(X69,X70) )
| p2(X69)
| ~ r1(X68,X69) )
| ~ r1(X0,X68) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f921,plain,
( p2(sK46(sK48(sK57)))
| ~ spl61_102 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f919,plain,
( spl61_102
<=> p2(sK46(sK48(sK57))) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_102])]) ).
fof(f960,plain,
spl61_101,
inference(avatar_contradiction_clause,[],[f959]) ).
fof(f959,plain,
( $false
| spl61_101 ),
inference(subsumption_resolution,[],[f958,f213]) ).
fof(f958,plain,
( ~ r1(sK47,sK57)
| spl61_101 ),
inference(subsumption_resolution,[],[f957,f214]) ).
fof(f214,plain,
~ p2(sK57),
inference(cnf_transformation,[],[f126]) ).
fof(f957,plain,
( p2(sK57)
| ~ r1(sK47,sK57)
| spl61_101 ),
inference(resolution,[],[f917,f235]) ).
fof(f235,plain,
! [X1] :
( r1(X1,sK48(X1))
| p2(X1)
| ~ r1(sK47,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f917,plain,
( ~ r1(sK57,sK48(sK57))
| spl61_101 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f922,plain,
( ~ spl61_101
| spl61_102
| ~ spl61_30
| ~ spl61_85
| spl61_86 ),
inference(avatar_split_clause,[],[f913,f779,f775,f390,f919,f915]) ).
fof(f775,plain,
( spl61_85
<=> p2(sK45(sK48(sK57))) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_85])]) ).
fof(f913,plain,
( p2(sK46(sK48(sK57)))
| ~ r1(sK57,sK48(sK57))
| ~ spl61_30
| ~ spl61_85
| spl61_86 ),
inference(subsumption_resolution,[],[f906,f780]) ).
fof(f906,plain,
( p2(sK46(sK48(sK57)))
| p2(sK48(sK57))
| ~ r1(sK57,sK48(sK57))
| ~ spl61_30
| ~ spl61_85
| spl61_86 ),
inference(resolution,[],[f905,f856]) ).
fof(f856,plain,
( ! [X0] :
( r1(sK45(X0),sK46(X0))
| p2(X0)
| ~ r1(sK57,X0) )
| ~ spl61_30 ),
inference(resolution,[],[f708,f213]) ).
fof(f708,plain,
( ! [X0,X1] :
( ~ r1(sK47,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK45(X0),sK46(X0)) )
| ~ spl61_30 ),
inference(resolution,[],[f392,f204]) ).
fof(f204,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK45(X2),sK46(X2)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f905,plain,
( ! [X0] :
( ~ r1(sK45(sK48(sK57)),X0)
| p2(X0) )
| ~ spl61_30
| ~ spl61_85
| spl61_86 ),
inference(subsumption_resolution,[],[f904,f213]) ).
fof(f904,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK45(sK48(sK57)),X0)
| ~ r1(sK47,sK57) )
| ~ spl61_30
| ~ spl61_85
| spl61_86 ),
inference(subsumption_resolution,[],[f903,f214]) ).
fof(f903,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK45(sK48(sK57)),X0)
| p2(sK57)
| ~ r1(sK47,sK57) )
| ~ spl61_30
| ~ spl61_85
| spl61_86 ),
inference(subsumption_resolution,[],[f902,f777]) ).
fof(f777,plain,
( p2(sK45(sK48(sK57)))
| ~ spl61_85 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f902,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK45(sK48(sK57)),X0)
| ~ p2(sK45(sK48(sK57)))
| p2(sK57)
| ~ r1(sK47,sK57) )
| ~ spl61_30
| spl61_86 ),
inference(resolution,[],[f878,f237]) ).
fof(f237,plain,
! [X3,X1,X4] :
( ~ r1(sK48(X1),X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ p2(X3)
| p2(X1)
| ~ r1(sK47,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f878,plain,
( r1(sK48(sK57),sK45(sK48(sK57)))
| ~ spl61_30
| spl61_86 ),
inference(subsumption_resolution,[],[f877,f213]) ).
fof(f877,plain,
( r1(sK48(sK57),sK45(sK48(sK57)))
| ~ r1(sK47,sK57)
| ~ spl61_30
| spl61_86 ),
inference(subsumption_resolution,[],[f876,f214]) ).
fof(f876,plain,
( r1(sK48(sK57),sK45(sK48(sK57)))
| p2(sK57)
| ~ r1(sK47,sK57)
| ~ spl61_30
| spl61_86 ),
inference(subsumption_resolution,[],[f872,f780]) ).
fof(f872,plain,
( p2(sK48(sK57))
| r1(sK48(sK57),sK45(sK48(sK57)))
| p2(sK57)
| ~ r1(sK47,sK57)
| ~ spl61_30 ),
inference(resolution,[],[f844,f235]) ).
fof(f844,plain,
( ! [X0] :
( ~ r1(sK57,X0)
| p2(X0)
| r1(X0,sK45(X0)) )
| ~ spl61_30 ),
inference(resolution,[],[f709,f213]) ).
fof(f709,plain,
( ! [X0,X1] :
( ~ r1(sK47,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(X0,sK45(X0)) )
| ~ spl61_30 ),
inference(resolution,[],[f392,f203]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK45(X2)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f806,plain,
~ spl61_86,
inference(avatar_contradiction_clause,[],[f805]) ).
fof(f805,plain,
( $false
| ~ spl61_86 ),
inference(subsumption_resolution,[],[f804,f213]) ).
fof(f804,plain,
( ~ r1(sK47,sK57)
| ~ spl61_86 ),
inference(subsumption_resolution,[],[f803,f214]) ).
fof(f803,plain,
( p2(sK57)
| ~ r1(sK47,sK57)
| ~ spl61_86 ),
inference(resolution,[],[f781,f236]) ).
fof(f236,plain,
! [X1] :
( ~ p2(sK48(X1))
| p2(X1)
| ~ r1(sK47,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f781,plain,
( p2(sK48(sK57))
| ~ spl61_86 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f782,plain,
( spl61_85
| spl61_86
| ~ spl61_30 ),
inference(avatar_split_clause,[],[f773,f390,f779,f775]) ).
fof(f773,plain,
( p2(sK48(sK57))
| p2(sK45(sK48(sK57)))
| ~ spl61_30 ),
inference(subsumption_resolution,[],[f772,f213]) ).
fof(f772,plain,
( p2(sK48(sK57))
| p2(sK45(sK48(sK57)))
| ~ r1(sK47,sK57)
| ~ spl61_30 ),
inference(subsumption_resolution,[],[f768,f214]) ).
fof(f768,plain,
( p2(sK48(sK57))
| p2(sK45(sK48(sK57)))
| p2(sK57)
| ~ r1(sK47,sK57)
| ~ spl61_30 ),
inference(resolution,[],[f716,f235]) ).
fof(f716,plain,
( ! [X0] :
( ~ r1(sK57,X0)
| p2(X0)
| p2(sK45(X0)) )
| ~ spl61_30 ),
inference(resolution,[],[f710,f213]) ).
fof(f710,plain,
( ! [X0,X1] :
( ~ r1(sK47,X1)
| ~ r1(X1,X0)
| p2(X0)
| p2(sK45(X0)) )
| ~ spl61_30 ),
inference(resolution,[],[f392,f206]) ).
fof(f206,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK45(X2)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f705,plain,
( spl61_30
| spl61_78
| ~ spl61_13 ),
inference(avatar_split_clause,[],[f699,f293,f703,f390]) ).
fof(f699,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK29(sK47),X1)
| sP0(sK47)
| ~ p2(X1) )
| ~ spl61_13 ),
inference(resolution,[],[f295,f161]) ).
fof(f161,plain,
! [X2,X3,X0] :
( ~ sP11(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK29(X0),X2)
| sP0(X0)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f62]) ).
fof(f581,plain,
( spl61_62
| spl61_31
| ~ spl61_16 ),
inference(avatar_split_clause,[],[f442,f307,f397,f577]) ).
fof(f442,plain,
( p2(sK51)
| p2(sK55(sK51))
| ~ spl61_16 ),
inference(resolution,[],[f309,f218]) ).
fof(f310,plain,
( spl61_13
| spl61_16 ),
inference(avatar_split_clause,[],[f225,f307,f293]) ).
fof(f225,plain,
( r1(sK47,sK51)
| sP11(sK47) ),
inference(cnf_transformation,[],[f126]) ).
fof(f305,plain,
( spl61_13
| spl61_15 ),
inference(avatar_split_clause,[],[f226,f302,f293]) ).
fof(f226,plain,
( sP9(sK51)
| sP11(sK47) ),
inference(cnf_transformation,[],[f126]) ).
fof(f300,plain,
( spl61_13
| spl61_14 ),
inference(avatar_split_clause,[],[f227,f297,f293]) ).
fof(f227,plain,
( sP10(sK51)
| sP11(sK47) ),
inference(cnf_transformation,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL642+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon Apr 29 23:24:55 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (5317)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (5323)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (5322)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (5325)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (5324)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38 % (5326)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (5327)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (5328)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 % (5327)First to succeed.
% 0.15/0.40 TRYING [4]
% 0.15/0.41 TRYING [5]
% 0.15/0.41 % (5327)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Theorem for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41 % (5327)------------------------------
% 0.22/0.41 % (5327)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.41 % (5327)Termination reason: Refutation
% 0.22/0.41
% 0.22/0.41 % (5327)Memory used [KB]: 1498
% 0.22/0.41 % (5327)Time elapsed: 0.033 s
% 0.22/0.41 % (5327)Instructions burned: 55 (million)
% 0.22/0.41 % (5327)------------------------------
% 0.22/0.41 % (5327)------------------------------
% 0.22/0.41 % (5317)Success in time 0.051 s
%------------------------------------------------------------------------------