%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL642+1.010 : 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 0.16s 0.38s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 104
% Syntax : Number of formulae : 366 ( 5 unt; 0 def)
% Number of atoms : 4971 ( 0 equ)
% Maximal formula atoms : 410 ( 13 avg)
% Number of connectives : 7126 (2521 ~;3572 |; 969 &)
% ( 36 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 81 ( 80 usr; 37 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 9 con; 0-1 aty)
% Number of variables : 1637 (1309 !; 328 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3918,plain,
$false,
inference(avatar_sat_refutation,[],[f580,f585,f590,f766,f806,f934,f1913,f1956,f2275,f2370,f2376,f2392,f2435,f2513,f2514,f2518,f2523,f2547,f2583,f2615,f2646,f2658,f2683,f2735,f3044,f3144,f3277,f3311,f3357,f3401,f3422,f3531,f3561,f3747,f3765,f3780,f3902,f3917]) ).
fof(f3917,plain,
( spl108_58
| spl108_353
| ~ spl108_28 ),
inference(avatar_split_clause,[],[f2652,f582,f2656,f763]) ).
fof(f763,plain,
( spl108_58
<=> sP2(sK98) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_58])]) ).
fof(f2656,plain,
( spl108_353
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK98,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_353])]) ).
fof(f582,plain,
( spl108_28
<=> sP9(sK98) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_28])]) ).
fof(f2652,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK98,X1)
| sP2(sK98)
| ~ p2(X1) )
| ~ spl108_28 ),
inference(resolution,[],[f584,f377]) ).
fof(f377,plain,
! [X2,X0,X1] :
( ~ sP9(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP2(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ~ p2(X0) )
| ( sP3(X0)
& sP2(X0) )
| ~ sP9(X0) ),
inference(rectify,[],[f165]) ).
fof(f165,plain,
! [X92] :
( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| ( sP3(X92)
& sP2(X92) )
| ~ sP9(X92) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X92] :
( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| ( sP3(X92)
& sP2(X92) )
| ~ sP9(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f584,plain,
( sP9(sK98)
| ~ spl108_28 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f3902,plain,
( ~ spl108_29
| spl108_56
| ~ spl108_124 ),
inference(avatar_contradiction_clause,[],[f3901]) ).
fof(f3901,plain,
( $false
| ~ spl108_29
| spl108_56
| ~ spl108_124 ),
inference(subsumption_resolution,[],[f3900,f589]) ).
fof(f589,plain,
( r1(sK92,sK98)
| ~ spl108_29 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f587,plain,
( spl108_29
<=> r1(sK92,sK98) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_29])]) ).
fof(f3900,plain,
( ~ r1(sK92,sK98)
| ~ spl108_29
| spl108_56
| ~ spl108_124 ),
inference(subsumption_resolution,[],[f3897,f756]) ).
fof(f756,plain,
( ~ p2(sK98)
| spl108_56 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f754,plain,
( spl108_56
<=> p2(sK98) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_56])]) ).
fof(f3897,plain,
( p2(sK98)
| ~ r1(sK92,sK98)
| ~ spl108_29
| spl108_56
| ~ spl108_124 ),
inference(resolution,[],[f3802,f425]) ).
fof(f425,plain,
! [X29] :
( ~ p2(sK103(X29))
| p2(X29)
| ~ r1(sK92,X29) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK93(X1),X3) )
& ~ p2(sK93(X1))
& r1(X1,sK93(X1)) )
| p2(X1)
| ~ r1(sK92,X1) )
& ( ( sP38(sK94)
& r1(sK94,sK95)
& ~ p1(sK94)
& r1(sK92,sK94) )
| ! [X7] : ~ r1(sK92,X7)
| p1(sK92) )
& ( sP37(sK92)
| ! [X8] : ~ r1(sK92,X8)
| p1(sK92)
| p2(sK92) )
& ( sP35(sK92)
| ! [X9] : ~ r1(sK92,X9)
| p1(sK92)
| p2(sK92)
| p3(sK92) )
& ( sP33(sK92)
| ! [X10] : ~ r1(sK92,X10)
| p1(sK92)
| p2(sK92)
| p3(sK92)
| p4(sK92) )
& ( ( sP31(sK96)
& sP30(sK96)
& ~ p1(sK96)
& r1(sK92,sK96) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(sK92,X12) )
| p1(sK92) )
& ( sP28(sK92)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(sK92,X14) )
| p1(sK92)
| p2(sK92) )
& ( sP24(sK92)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(sK92,X16) )
| p1(sK92)
| p2(sK92)
| p3(sK92) )
& ( sP20(sK92)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(sK92,X18) )
| p1(sK92)
| p2(sK92)
| p3(sK92)
| p4(sK92) )
& ( ( sP16(sK97)
& sP15(sK97)
& ~ p1(sK97)
& r1(sK92,sK97) )
| ! [X21] :
( ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| p4(X22)
| ~ r1(X21,X22) )
| p1(X21)
| p2(X21)
| p3(X21)
| p4(X21)
| ~ r1(sK92,X21) )
| p1(sK92) )
& ( ( sP10(sK98)
& sP9(sK98)
& r1(sK92,sK98) )
| sP11(sK92) )
& ! [X25] :
( ( p1(sK99(X25))
& ~ p1(sK100(X25))
& r1(sK99(X25),sK100(X25))
& r1(X25,sK99(X25)) )
| p1(X25)
| ~ r1(sK92,X25) )
& ~ p1(sK101)
& r1(sK92,sK101)
& ! [X29] :
( ( p2(sK102(X29))
& ~ p2(sK103(X29))
& r1(sK102(X29),sK103(X29))
& r1(X29,sK102(X29)) )
| p2(X29)
| ~ r1(sK92,X29) )
& ~ p2(sK104)
& r1(sK92,sK104)
& ! [X33] :
( ( p3(sK105(X33))
& ~ p3(sK106(X33))
& r1(sK105(X33),sK106(X33))
& r1(X33,sK105(X33)) )
| p3(X33)
| ~ r1(sK92,X33) )
& ~ p3(sK107)
& r1(sK92,sK107) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK92,sK93,sK94,sK95,sK96,sK97,sK98,sK99,sK100,sK101,sK102,sK103,sK104,sK105,sK106,sK107])],[f211,f227,f226,f225,f224,f223,f222,f221,f220,f219,f218,f217,f216,f215,f214,f213,f212]) ).
fof(f212,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] :
( sP38(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP37(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP35(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP33(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP31(X11)
& sP30(X11)
& ~ p1(X11)
& r1(X0,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(X0,X12) )
| p1(X0) )
& ( sP28(X0)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(X0,X14) )
| p1(X0)
| p2(X0) )
& ( sP24(X0)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(X0,X16) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP20(X0)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X20] :
( sP16(X20)
& sP15(X20)
& ~ p1(X20)
& r1(X0,X20) )
| ! [X21] :
( ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| p4(X22)
| ~ r1(X21,X22) )
| p1(X21)
| p2(X21)
| p3(X21)
| p4(X21)
| ~ r1(X0,X21) )
| p1(X0) )
& ( ? [X24] :
( sP10(X24)
& sP9(X24)
& r1(X0,X24) )
| sP11(X0) )
& ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X0,X25) )
& ? [X28] :
( ~ p1(X28)
& r1(X0,X28) )
& ! [X29] :
( ? [X30] :
( p2(X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& r1(X29,X30) )
| p2(X29)
| ~ r1(X0,X29) )
& ? [X32] :
( ~ p2(X32)
& r1(X0,X32) )
& ! [X33] :
( ? [X34] :
( p3(X34)
& ? [X35] :
( ~ p3(X35)
& r1(X34,X35) )
& r1(X33,X34) )
| p3(X33)
| ~ r1(X0,X33) )
& ? [X36] :
( ~ p3(X36)
& r1(X0,X36) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK92,X1) )
& ( ? [X5] :
( sP38(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK92,X5) )
| ! [X7] : ~ r1(sK92,X7)
| p1(sK92) )
& ( sP37(sK92)
| ! [X8] : ~ r1(sK92,X8)
| p1(sK92)
| p2(sK92) )
& ( sP35(sK92)
| ! [X9] : ~ r1(sK92,X9)
| p1(sK92)
| p2(sK92)
| p3(sK92) )
& ( sP33(sK92)
| ! [X10] : ~ r1(sK92,X10)
| p1(sK92)
| p2(sK92)
| p3(sK92)
| p4(sK92) )
& ( ? [X11] :
( sP31(X11)
& sP30(X11)
& ~ p1(X11)
& r1(sK92,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(sK92,X12) )
| p1(sK92) )
& ( sP28(sK92)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(sK92,X14) )
| p1(sK92)
| p2(sK92) )
& ( sP24(sK92)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(sK92,X16) )
| p1(sK92)
| p2(sK92)
| p3(sK92) )
& ( sP20(sK92)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(sK92,X18) )
| p1(sK92)
| p2(sK92)
| p3(sK92)
| p4(sK92) )
& ( ? [X20] :
( sP16(X20)
& sP15(X20)
& ~ p1(X20)
& r1(sK92,X20) )
| ! [X21] :
( ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| p4(X22)
| ~ r1(X21,X22) )
| p1(X21)
| p2(X21)
| p3(X21)
| p4(X21)
| ~ r1(sK92,X21) )
| p1(sK92) )
& ( ? [X24] :
( sP10(X24)
& sP9(X24)
& r1(sK92,X24) )
| sP11(sK92) )
& ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(sK92,X25) )
& ? [X28] :
( ~ p1(X28)
& r1(sK92,X28) )
& ! [X29] :
( ? [X30] :
( p2(X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& r1(X29,X30) )
| p2(X29)
| ~ r1(sK92,X29) )
& ? [X32] :
( ~ p2(X32)
& r1(sK92,X32) )
& ! [X33] :
( ? [X34] :
( p3(X34)
& ? [X35] :
( ~ p3(X35)
& r1(X34,X35) )
& r1(X33,X34) )
| p3(X33)
| ~ r1(sK92,X33) )
& ? [X36] :
( ~ p3(X36)
& r1(sK92,X36) ) ) ),
introduced(choice_axiom,[]) ).
fof(f213,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(sK93(X1),X3) )
& ~ p2(sK93(X1))
& r1(X1,sK93(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
( ? [X5] :
( sP38(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK92,X5) )
=> ( sP38(sK94)
& ? [X6] : r1(sK94,X6)
& ~ p1(sK94)
& r1(sK92,sK94) ) ),
introduced(choice_axiom,[]) ).
fof(f215,plain,
( ? [X6] : r1(sK94,X6)
=> r1(sK94,sK95) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
( ? [X11] :
( sP31(X11)
& sP30(X11)
& ~ p1(X11)
& r1(sK92,X11) )
=> ( sP31(sK96)
& sP30(sK96)
& ~ p1(sK96)
& r1(sK92,sK96) ) ),
introduced(choice_axiom,[]) ).
fof(f217,plain,
( ? [X20] :
( sP16(X20)
& sP15(X20)
& ~ p1(X20)
& r1(sK92,X20) )
=> ( sP16(sK97)
& sP15(sK97)
& ~ p1(sK97)
& r1(sK92,sK97) ) ),
introduced(choice_axiom,[]) ).
fof(f218,plain,
( ? [X24] :
( sP10(X24)
& sP9(X24)
& r1(sK92,X24) )
=> ( sP10(sK98)
& sP9(sK98)
& r1(sK92,sK98) ) ),
introduced(choice_axiom,[]) ).
fof(f219,plain,
! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
=> ( p1(sK99(X25))
& ? [X27] :
( ~ p1(X27)
& r1(sK99(X25),X27) )
& r1(X25,sK99(X25)) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X25] :
( ? [X27] :
( ~ p1(X27)
& r1(sK99(X25),X27) )
=> ( ~ p1(sK100(X25))
& r1(sK99(X25),sK100(X25)) ) ),
introduced(choice_axiom,[]) ).
fof(f221,plain,
( ? [X28] :
( ~ p1(X28)
& r1(sK92,X28) )
=> ( ~ p1(sK101)
& r1(sK92,sK101) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
! [X29] :
( ? [X30] :
( p2(X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& r1(X29,X30) )
=> ( p2(sK102(X29))
& ? [X31] :
( ~ p2(X31)
& r1(sK102(X29),X31) )
& r1(X29,sK102(X29)) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
! [X29] :
( ? [X31] :
( ~ p2(X31)
& r1(sK102(X29),X31) )
=> ( ~ p2(sK103(X29))
& r1(sK102(X29),sK103(X29)) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
( ? [X32] :
( ~ p2(X32)
& r1(sK92,X32) )
=> ( ~ p2(sK104)
& r1(sK92,sK104) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
! [X33] :
( ? [X34] :
( p3(X34)
& ? [X35] :
( ~ p3(X35)
& r1(X34,X35) )
& r1(X33,X34) )
=> ( p3(sK105(X33))
& ? [X35] :
( ~ p3(X35)
& r1(sK105(X33),X35) )
& r1(X33,sK105(X33)) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
! [X33] :
( ? [X35] :
( ~ p3(X35)
& r1(sK105(X33),X35) )
=> ( ~ p3(sK106(X33))
& r1(sK105(X33),sK106(X33)) ) ),
introduced(choice_axiom,[]) ).
fof(f227,plain,
( ? [X36] :
( ~ p3(X36)
& r1(sK92,X36) )
=> ( ~ p3(sK107)
& r1(sK92,sK107) ) ),
introduced(choice_axiom,[]) ).
fof(f211,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] :
( sP38(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP37(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP35(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP33(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP31(X11)
& sP30(X11)
& ~ p1(X11)
& r1(X0,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(X0,X12) )
| p1(X0) )
& ( sP28(X0)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(X0,X14) )
| p1(X0)
| p2(X0) )
& ( sP24(X0)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(X0,X16) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP20(X0)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(X0,X18) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X20] :
( sP16(X20)
& sP15(X20)
& ~ p1(X20)
& r1(X0,X20) )
| ! [X21] :
( ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| p4(X22)
| ~ r1(X21,X22) )
| p1(X21)
| p2(X21)
| p3(X21)
| p4(X21)
| ~ r1(X0,X21) )
| p1(X0) )
& ( ? [X24] :
( sP10(X24)
& sP9(X24)
& r1(X0,X24) )
| sP11(X0) )
& ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(X0,X25) )
& ? [X28] :
( ~ p1(X28)
& r1(X0,X28) )
& ! [X29] :
( ? [X30] :
( p2(X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& r1(X29,X30) )
| p2(X29)
| ~ r1(X0,X29) )
& ? [X32] :
( ~ p2(X32)
& r1(X0,X32) )
& ! [X33] :
( ? [X34] :
( p3(X34)
& ? [X35] :
( ~ p3(X35)
& r1(X34,X35) )
& r1(X33,X34) )
| p3(X33)
| ~ r1(X0,X33) )
& ? [X36] :
( ~ p3(X36)
& r1(X0,X36) ) ),
inference(rectify,[],[f47]) ).
fof(f47,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] :
( sP38(X5)
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( sP37(X0)
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( sP35(X0)
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP33(X0)
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( sP31(X33)
& sP30(X33)
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( sP28(X0)
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( sP24(X0)
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP20(X0)
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X77] :
( sP16(X77)
& sP15(X77)
& ~ p1(X77)
& r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ? [X92] :
( sP10(X92)
& sP9(X92)
& r1(X0,X92) )
| sP11(X0) )
& ! [X131] :
( ? [X132] :
( p1(X132)
& ? [X133] :
( ~ p1(X133)
& r1(X132,X133) )
& r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
& ? [X134] :
( ~ p1(X134)
& r1(X0,X134) )
& ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) )
& ! [X139] :
( ? [X140] :
( p3(X140)
& ? [X141] :
( ~ p3(X141)
& r1(X140,X141) )
& r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
& ? [X142] :
( ~ p3(X142)
& r1(X0,X142) ) ),
inference(definition_folding,[],[f7,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,
! [X0] :
( ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f9,plain,
! [X0] :
( ? [X122] :
( p2(X122)
& ? [X123] :
( ~ p2(X123)
& r1(X122,X123) )
& r1(X0,X122) )
| p2(X0)
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X92] :
( ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) )
| ~ sP2(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,plain,
! [X92] :
( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ~ sP3(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f12,plain,
! [X103] :
( ! [X109] :
( ! [X110] :
( ? [X111] :
( p2(X111)
& ? [X112] :
( ~ p2(X112)
& r1(X111,X112) )
& r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) )
| ~ sP4(X103) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f13,plain,
! [X103] :
( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103)
| ~ sP5(X103) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f14,plain,
! [X93] :
( ? [X99] :
( ? [X100] :
( ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X99,X100) )
& r1(X93,X99) )
| ~ sP6(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X93] :
( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ~ sP7(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
! [X93] :
( ! [X103] :
( ( sP5(X103)
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| sP4(X103) ) )
| ~ r1(X93,X103) )
| ~ sP8(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| ( sP7(X93)
& sP6(X93) )
| sP8(X93)
| ~ r1(X92,X93) )
| ~ sP10(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
! [X0] :
( ( sP1(X0)
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| sP0(X0) ) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
! [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
| ~ sP12(X86) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f21,plain,
! [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
| ~ sP13(X79) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f22,plain,
! [X78] :
( ? [X79] :
( sP13(X79)
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
| ~ sP14(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f23,plain,
! [X77] :
( ? [X86] :
( sP12(X86)
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
| ~ sP15(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f24,plain,
! [X77] :
( ! [X78] :
( ( sP14(X78)
& ~ p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ~ sP16(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f25,plain,
! [X67] :
( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
| ~ sP17(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f26,plain,
! [X67] :
( ( sP17(X67)
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ~ sP18(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f27,plain,
! [X66] :
( ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
| ~ sP19(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f28,plain,
! [X0] :
( ? [X66] :
( ! [X67] :
( sP18(X67)
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
& sP19(X66)
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ~ sP20(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f29,plain,
! [X56] :
( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
| ~ sP21(X56) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f30,plain,
! [X55] :
( ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
| ~ sP22(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f31,plain,
! [X55] :
( ! [X56] :
( ( sP21(X56)
& ~ p1(X56)
& ~ p2(X56)
& ~ p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ~ sP23(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f32,plain,
! [X0] :
( ? [X55] :
( sP23(X55)
& sP22(X55)
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ~ sP24(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f33,plain,
! [X45] :
( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
| ~ sP25(X45) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f34,plain,
! [X44] :
( ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
| ~ sP26(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f35,plain,
! [X44] :
( ! [X45] :
( ( sP25(X45)
& ~ p1(X45)
& ~ p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ~ sP27(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f36,plain,
! [X0] :
( ? [X44] :
( sP27(X44)
& sP26(X44)
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ~ sP28(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f37,plain,
! [X34] :
( ? [X35] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
| ~ sP29(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f38,plain,
! [X33] :
( ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
| ~ sP30(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f39,plain,
! [X33] :
( ! [X34] :
( ( sP29(X34)
& ~ p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ~ sP31(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f40,plain,
! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ~ sP32(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f41,plain,
! [X0] :
( ? [X26] :
( ! [X27] :
( sP32(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) )
| ~ sP33(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f42,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) )
| ~ sP34(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f43,plain,
! [X0] :
( ? [X19] :
( sP34(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ~ sP35(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f44,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) )
| ~ sP36(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f45,plain,
! [X0] :
( ? [X12] :
( sP36(X12)
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ~ sP37(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f46,plain,
! [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ sP38(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
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] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
& ~ p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
& ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ? [X44] :
( ! [X45] :
( ( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
& ~ p1(X45)
& ~ p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
& ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ? [X55] :
( ! [X56] :
( ( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
& ~ p1(X56)
& ~ p2(X56)
& ~ p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
& ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X66] :
( ! [X67] :
( ( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
& ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X77] :
( ! [X78] :
( ( ? [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
& ~ p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
& ? [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
& ~ p1(X77)
& r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ? [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| ( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
& ? [X99] :
( ? [X100] :
( ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X99,X100) )
& r1(X93,X99) ) )
| ! [X103] :
( ( ( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103) )
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ? [X111] :
( p2(X111)
& ? [X112] :
( ~ p2(X112)
& r1(X111,X112) )
& r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
& ( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| ( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
& ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) ) ) )
& r1(X0,X92) )
| ( ( ? [X122] :
( p2(X122)
& ? [X123] :
( ~ p2(X123)
& r1(X122,X123) )
& r1(X0,X122) )
| p2(X0) )
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) )
& ! [X131] :
( ? [X132] :
( p1(X132)
& ? [X133] :
( ~ p1(X133)
& r1(X132,X133) )
& r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
& ? [X134] :
( ~ p1(X134)
& r1(X0,X134) )
& ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) )
& ! [X139] :
( ? [X140] :
( p3(X140)
& ? [X141] :
( ~ p3(X141)
& r1(X140,X141) )
& r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
& ? [X142] :
( ~ p3(X142)
& r1(X0,X142) ) ),
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] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
& ~ p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
& ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ? [X44] :
( ! [X45] :
( ( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
& ~ p1(X45)
& ~ p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
& ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ? [X55] :
( ! [X56] :
( ( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
& ~ p1(X56)
& ~ p2(X56)
& ~ p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
& ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ? [X66] :
( ! [X67] :
( ( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
& ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X77] :
( ! [X78] :
( ( ? [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
& ~ p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
& ? [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
& ~ p1(X77)
& r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ? [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| ( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
& ? [X99] :
( ? [X100] :
( ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X99,X100) )
& r1(X93,X99) ) )
| ! [X103] :
( ( ( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103) )
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ? [X111] :
( p2(X111)
& ? [X112] :
( ~ p2(X112)
& r1(X111,X112) )
& r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
& ( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| ( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
& ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) ) ) )
& r1(X0,X92) )
| ( ( ? [X122] :
( p2(X122)
& ? [X123] :
( ~ p2(X123)
& r1(X122,X123) )
& r1(X0,X122) )
| p2(X0) )
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) )
& ! [X131] :
( ? [X132] :
( p1(X132)
& ? [X133] :
( ~ p1(X133)
& r1(X132,X133) )
& r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
& ? [X134] :
( ~ p1(X134)
& r1(X0,X134) )
& ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) )
& ! [X139] :
( ? [X140] :
( p3(X140)
& ? [X141] :
( ~ p3(X141)
& r1(X140,X141) )
& r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
& ? [X142] :
( ~ p3(X142)
& r1(X0,X142) ) ),
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] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] : ~ r1(X40,X41)
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] : ~ r1(X46,X47)
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] : ~ r1(X51,X52)
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] : ~ r1(X57,X58)
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] : ~ r1(X62,X63)
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] : ~ r1(X73,X74)
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] : ~ r1(X80,X81)
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] : ~ r1(X87,X88)
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ( ~ ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| p2(X93) )
& ( ~ ! [X96] :
( ~ ! [X97] :
( ~ p2(X97)
| ! [X98] :
( p2(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ! [X99] :
( ! [X100] :
( ~ ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| p2(X100)
| ~ r1(X99,X100) )
| ~ r1(X93,X99) ) ) )
| ! [X103] :
( ( ( ~ ! [X104] :
( ~ p2(X104)
| ! [X105] :
( p2(X105)
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| p2(X103) )
& ( ~ ! [X106] :
( ~ ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| p2(X106)
| ~ r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ~ ! [X111] :
( ~ p2(X111)
| ! [X112] :
( p2(X112)
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
| ( ( ~ ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
| p2(X92) )
& ( ~ ! [X115] :
( ~ ! [X116] :
( ~ p2(X116)
| ! [X117] :
( p2(X117)
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ! [X118] :
( ! [X119] :
( ~ ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| p2(X119)
| ~ r1(X118,X119) )
| ~ r1(X92,X118) ) ) )
| ~ r1(X0,X92) )
| ( ( ~ ! [X122] :
( ~ p2(X122)
| ! [X123] :
( p2(X123)
| ~ r1(X122,X123) )
| ~ r1(X0,X122) )
| p2(X0) )
& ( ~ ! [X124] :
( ~ ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| p2(X124)
| ~ r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ~ ! [X129] :
( ~ p2(X129)
| ! [X130] :
( p2(X130)
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) ) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ p1(X132)
| ! [X133] :
( p1(X133)
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( p1(X134)
| ~ r1(X0,X134) )
| ~ ! [X135] :
( ~ ! [X136] :
( ~ p2(X136)
| ! [X137] :
( p2(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ! [X138] :
( p2(X138)
| ~ r1(X0,X138) )
| ~ ! [X139] :
( ~ ! [X140] :
( ~ p3(X140)
| ! [X141] :
( p3(X141)
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
| ! [X142] :
( p3(X142)
| ~ r1(X0,X142) ) ),
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] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] : ~ r1(X40,X41)
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] : ~ r1(X46,X47)
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] : ~ r1(X51,X52)
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] : ~ r1(X57,X58)
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] : ~ r1(X62,X63)
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] : ~ r1(X73,X74)
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] : ~ r1(X80,X81)
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] : ~ r1(X87,X88)
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ( ~ ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| p2(X93) )
& ( ~ ! [X96] :
( ~ ! [X97] :
( ~ p2(X97)
| ! [X98] :
( p2(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ! [X99] :
( ! [X100] :
( ~ ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| p2(X100)
| ~ r1(X99,X100) )
| ~ r1(X93,X99) ) ) )
| ! [X103] :
( ( ( ~ ! [X104] :
( ~ p2(X104)
| ! [X105] :
( p2(X105)
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| p2(X103) )
& ( ~ ! [X106] :
( ~ ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| p2(X106)
| ~ r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ~ ! [X111] :
( ~ p2(X111)
| ! [X112] :
( p2(X112)
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
| ( ( ~ ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
| p2(X92) )
& ( ~ ! [X115] :
( ~ ! [X116] :
( ~ p2(X116)
| ! [X117] :
( p2(X117)
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ! [X118] :
( ! [X119] :
( ~ ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| p2(X119)
| ~ r1(X118,X119) )
| ~ r1(X92,X118) ) ) )
| ~ r1(X0,X92) )
| ( ( ~ ! [X122] :
( ~ p2(X122)
| ! [X123] :
( p2(X123)
| ~ r1(X122,X123) )
| ~ r1(X0,X122) )
| p2(X0) )
& ( ~ ! [X124] :
( ~ ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| p2(X124)
| ~ r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ~ ! [X129] :
( ~ p2(X129)
| ! [X130] :
( p2(X130)
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) ) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ p1(X132)
| ! [X133] :
( p1(X133)
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( p1(X134)
| ~ r1(X0,X134) )
| ~ ! [X135] :
( ~ ! [X136] :
( ~ p2(X136)
| ! [X137] :
( p2(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ! [X138] :
( p2(X138)
| ~ r1(X0,X138) )
| ~ ! [X139] :
( ~ ! [X140] :
( ~ p3(X140)
| ! [X141] :
( p3(X141)
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
| ! [X142] :
( p3(X142)
| ~ r1(X0,X142) ) ),
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] :
( ! [X36] :
( $false
| ~ r1(X35,X36) )
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] :
( $false
| ~ r1(X38,X39) )
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] :
( $false
| ~ r1(X40,X41) )
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] :
( $false
| ~ r1(X42,X43) )
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] :
( $false
| ~ r1(X46,X47) )
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] :
( $false
| ~ r1(X49,X50) )
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] :
( $false
| ~ r1(X51,X52) )
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] :
( $false
| ~ r1(X53,X54) )
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] :
( $false
| ~ r1(X57,X58) )
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] :
( $false
| ~ r1(X60,X61) )
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] :
( $false
| ~ r1(X62,X63) )
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] :
( $false
| ~ r1(X64,X65) )
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] :
( $false
| ~ r1(X68,X69) )
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] :
( $false
| ~ r1(X71,X72) )
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] :
( $false
| ~ r1(X73,X74) )
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] :
( $false
| ~ r1(X75,X76) )
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] :
( $false
| ~ r1(X80,X81) )
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] :
( $false
| ~ r1(X84,X85) )
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] :
( $false
| ~ r1(X87,X88) )
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] :
( $false
| ~ r1(X90,X91) )
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ( ~ ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| p2(X93) )
& ( ~ ! [X96] :
( ~ ! [X97] :
( ~ p2(X97)
| ! [X98] :
( p2(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ! [X99] :
( ! [X100] :
( ~ ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| p2(X100)
| ~ r1(X99,X100) )
| ~ r1(X93,X99) ) ) )
| ! [X103] :
( ( ( ~ ! [X104] :
( ~ p2(X104)
| ! [X105] :
( p2(X105)
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| p2(X103) )
& ( ~ ! [X106] :
( ~ ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| p2(X106)
| ~ r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ~ ! [X111] :
( ~ p2(X111)
| ! [X112] :
( p2(X112)
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
| ( ( ~ ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
| p2(X92) )
& ( ~ ! [X115] :
( ~ ! [X116] :
( ~ p2(X116)
| ! [X117] :
( p2(X117)
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ! [X118] :
( ! [X119] :
( ~ ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| p2(X119)
| ~ r1(X118,X119) )
| ~ r1(X92,X118) ) ) )
| ~ r1(X0,X92) )
| ( ( ~ ! [X122] :
( ~ p2(X122)
| ! [X123] :
( p2(X123)
| ~ r1(X122,X123) )
| ~ r1(X0,X122) )
| p2(X0) )
& ( ~ ! [X124] :
( ~ ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| p2(X124)
| ~ r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ~ ! [X129] :
( ~ p2(X129)
| ! [X130] :
( p2(X130)
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) ) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ p1(X132)
| ! [X133] :
( p1(X133)
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( p1(X134)
| ~ r1(X0,X134) )
| ~ ! [X135] :
( ~ ! [X136] :
( ~ p2(X136)
| ! [X137] :
( p2(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ! [X138] :
( p2(X138)
| ~ r1(X0,X138) )
| ~ ! [X139] :
( ~ ! [X140] :
( ~ p3(X140)
| ! [X141] :
( p3(X141)
| ~ r1(X140,X141) )
| ~ r1(X139,X140) )
| p3(X139)
| ~ r1(X0,X139) )
| ! [X142] :
( p3(X142)
| ~ r1(X0,X142) ) ),
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] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(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] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ! [X0] :
( $false
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0)
| ~ r1(X1,X0) )
| p1(X1)
| p2(X1)
| p3(X1)
| p4(X1)
| ~ r1(X0,X1) )
| p1(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/sandbox/benchmark/theBenchmark.p',main) ).
fof(f3802,plain,
( p2(sK103(sK98))
| ~ spl108_29
| spl108_56
| ~ spl108_124 ),
inference(subsumption_resolution,[],[f3801,f589]) ).
fof(f3801,plain,
( p2(sK103(sK98))
| ~ r1(sK92,sK98)
| spl108_56
| ~ spl108_124 ),
inference(subsumption_resolution,[],[f3791,f756]) ).
fof(f3791,plain,
( p2(sK103(sK98))
| p2(sK98)
| ~ r1(sK92,sK98)
| ~ spl108_124 ),
inference(resolution,[],[f1143,f424]) ).
fof(f424,plain,
! [X29] :
( r1(sK102(X29),sK103(X29))
| p2(X29)
| ~ r1(sK92,X29) ),
inference(cnf_transformation,[],[f228]) ).
fof(f1143,plain,
( ! [X0] :
( ~ r1(sK102(sK98),X0)
| p2(X0) )
| ~ spl108_124 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1142,plain,
( spl108_124
<=> ! [X0] :
( ~ r1(sK102(sK98),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_124])]) ).
fof(f3780,plain,
( spl108_124
| ~ spl108_29
| spl108_56
| ~ spl108_61
| ~ spl108_353 ),
inference(avatar_split_clause,[],[f3779,f2656,f780,f754,f587,f1142]) ).
fof(f780,plain,
( spl108_61
<=> p2(sK102(sK98)) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_61])]) ).
fof(f3779,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK102(sK98),X0) )
| ~ spl108_29
| spl108_56
| ~ spl108_61
| ~ spl108_353 ),
inference(subsumption_resolution,[],[f3778,f589]) ).
fof(f3778,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK102(sK98),X0)
| ~ r1(sK92,sK98) )
| spl108_56
| ~ spl108_61
| ~ spl108_353 ),
inference(subsumption_resolution,[],[f3777,f756]) ).
fof(f3777,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK102(sK98),X0)
| p2(sK98)
| ~ r1(sK92,sK98) )
| ~ spl108_61
| ~ spl108_353 ),
inference(subsumption_resolution,[],[f3775,f782]) ).
fof(f782,plain,
( p2(sK102(sK98))
| ~ spl108_61 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f3775,plain,
( ! [X0] :
( ~ p2(sK102(sK98))
| p2(X0)
| ~ r1(sK102(sK98),X0)
| p2(sK98)
| ~ r1(sK92,sK98) )
| ~ spl108_353 ),
inference(resolution,[],[f2657,f423]) ).
fof(f423,plain,
! [X29] :
( r1(X29,sK102(X29))
| p2(X29)
| ~ r1(sK92,X29) ),
inference(cnf_transformation,[],[f228]) ).
fof(f2657,plain,
( ! [X0,X1] :
( ~ r1(sK98,X1)
| ~ p2(X1)
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl108_353 ),
inference(avatar_component_clause,[],[f2656]) ).
fof(f3765,plain,
( ~ spl108_56
| spl108_57
| ~ spl108_28 ),
inference(avatar_split_clause,[],[f2653,f582,f758,f754]) ).
fof(f758,plain,
( spl108_57
<=> sP3(sK98) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_57])]) ).
fof(f2653,plain,
( sP3(sK98)
| ~ p2(sK98)
| ~ spl108_28 ),
inference(resolution,[],[f584,f376]) ).
fof(f376,plain,
! [X0] :
( ~ sP9(X0)
| sP3(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f3747,plain,
( ~ spl108_354
| spl108_398
| ~ spl108_469
| ~ spl108_470 ),
inference(avatar_contradiction_clause,[],[f3746]) ).
fof(f3746,plain,
( $false
| ~ spl108_354
| spl108_398
| ~ spl108_469
| ~ spl108_470 ),
inference(subsumption_resolution,[],[f3745,f3525]) ).
fof(f3525,plain,
( r1(sK86(sK98),sK87(sK98))
| ~ spl108_469 ),
inference(avatar_component_clause,[],[f3524]) ).
fof(f3524,plain,
( spl108_469
<=> r1(sK86(sK98),sK87(sK98)) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_469])]) ).
fof(f3745,plain,
( ~ r1(sK86(sK98),sK87(sK98))
| ~ spl108_354
| spl108_398
| ~ spl108_470 ),
inference(resolution,[],[f3565,f2678]) ).
fof(f2678,plain,
( sP7(sK86(sK98))
| ~ spl108_354 ),
inference(avatar_component_clause,[],[f2676]) ).
fof(f2676,plain,
( spl108_354
<=> sP7(sK86(sK98)) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_354])]) ).
fof(f3565,plain,
( ! [X0] :
( ~ sP7(X0)
| ~ r1(X0,sK87(sK98)) )
| spl108_398
| ~ spl108_470 ),
inference(subsumption_resolution,[],[f3562,f3042]) ).
fof(f3042,plain,
( ~ p2(sK87(sK98))
| spl108_398 ),
inference(avatar_component_clause,[],[f3041]) ).
fof(f3041,plain,
( spl108_398
<=> p2(sK87(sK98)) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_398])]) ).
fof(f3562,plain,
( ! [X0] :
( p2(sK87(sK98))
| ~ r1(X0,sK87(sK98))
| ~ sP7(X0) )
| ~ spl108_470 ),
inference(resolution,[],[f3530,f385]) ).
fof(f385,plain,
! [X0,X1] :
( ~ p2(sK77(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( ( p2(sK76(X1))
& ~ p2(sK77(X1))
& r1(sK76(X1),sK77(X1))
& r1(X1,sK76(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK76,sK77])],[f172,f174,f173]) ).
fof(f173,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK76(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK76(X1),X3) )
& r1(X1,sK76(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f174,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK76(X1),X3) )
=> ( ~ p2(sK77(X1))
& r1(sK76(X1),sK77(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP7(X0) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X93] :
( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ~ sP7(X93) ),
inference(nnf_transformation,[],[f15]) ).
fof(f3530,plain,
( p2(sK77(sK87(sK98)))
| ~ spl108_470 ),
inference(avatar_component_clause,[],[f3528]) ).
fof(f3528,plain,
( spl108_470
<=> p2(sK77(sK87(sK98))) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_470])]) ).
fof(f3561,plain,
( ~ spl108_58
| spl108_469 ),
inference(avatar_contradiction_clause,[],[f3560]) ).
fof(f3560,plain,
( $false
| ~ spl108_58
| spl108_469 ),
inference(subsumption_resolution,[],[f3559,f765]) ).
fof(f765,plain,
( sP2(sK98)
| ~ spl108_58 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f3559,plain,
( ~ sP2(sK98)
| spl108_469 ),
inference(resolution,[],[f3526,f404]) ).
fof(f404,plain,
! [X0] :
( r1(sK86(X0),sK87(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK87(X0),X3) )
& ~ p2(sK87(X0))
& r1(sK86(X0),sK87(X0))
& r1(X0,sK86(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK86,sK87])],[f197,f199,f198]) ).
fof(f198,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(sK86(X0),X2) )
& r1(X0,sK86(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f199,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK86(X0),X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK87(X0),X3) )
& ~ p2(sK87(X0))
& r1(sK86(X0),sK87(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f197,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,[],[f196]) ).
fof(f196,plain,
! [X92] :
( ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) )
| ~ sP2(X92) ),
inference(nnf_transformation,[],[f10]) ).
fof(f3526,plain,
( ~ r1(sK86(sK98),sK87(sK98))
| spl108_469 ),
inference(avatar_component_clause,[],[f3524]) ).
fof(f3531,plain,
( ~ spl108_469
| spl108_470
| ~ spl108_354
| spl108_398
| ~ spl108_448 ),
inference(avatar_split_clause,[],[f3522,f3394,f3041,f2676,f3528,f3524]) ).
fof(f3394,plain,
( spl108_448
<=> ! [X0] :
( p2(X0)
| ~ r1(sK76(sK87(sK98)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_448])]) ).
fof(f3522,plain,
( p2(sK77(sK87(sK98)))
| ~ r1(sK86(sK98),sK87(sK98))
| ~ spl108_354
| spl108_398
| ~ spl108_448 ),
inference(subsumption_resolution,[],[f3512,f3042]) ).
fof(f3512,plain,
( p2(sK77(sK87(sK98)))
| ~ r1(sK86(sK98),sK87(sK98))
| p2(sK87(sK98))
| ~ spl108_354
| ~ spl108_448 ),
inference(resolution,[],[f3395,f3358]) ).
fof(f3358,plain,
( ! [X0] :
( r1(sK76(X0),sK77(X0))
| ~ r1(sK86(sK98),X0)
| p2(X0) )
| ~ spl108_354 ),
inference(resolution,[],[f2678,f384]) ).
fof(f384,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK76(X1),sK77(X1)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f3395,plain,
( ! [X0] :
( ~ r1(sK76(sK87(sK98)),X0)
| p2(X0) )
| ~ spl108_448 ),
inference(avatar_component_clause,[],[f3394]) ).
fof(f3422,plain,
( spl108_449
| ~ spl108_58
| ~ spl108_354
| spl108_398 ),
inference(avatar_split_clause,[],[f3421,f3041,f2676,f763,f3398]) ).
fof(f3398,plain,
( spl108_449
<=> r1(sK87(sK98),sK76(sK87(sK98))) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_449])]) ).
fof(f3421,plain,
( r1(sK87(sK98),sK76(sK87(sK98)))
| ~ spl108_58
| ~ spl108_354
| spl108_398 ),
inference(subsumption_resolution,[],[f3420,f765]) ).
fof(f3420,plain,
( r1(sK87(sK98),sK76(sK87(sK98)))
| ~ sP2(sK98)
| ~ spl108_354
| spl108_398 ),
inference(subsumption_resolution,[],[f3404,f3042]) ).
fof(f3404,plain,
( p2(sK87(sK98))
| r1(sK87(sK98),sK76(sK87(sK98)))
| ~ sP2(sK98)
| ~ spl108_354 ),
inference(resolution,[],[f3359,f404]) ).
fof(f3359,plain,
( ! [X0] :
( ~ r1(sK86(sK98),X0)
| p2(X0)
| r1(X0,sK76(X0)) )
| ~ spl108_354 ),
inference(resolution,[],[f2678,f383]) ).
fof(f383,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK76(X1)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f3401,plain,
( ~ spl108_449
| spl108_448
| ~ spl108_58
| ~ spl108_354
| spl108_398 ),
inference(avatar_split_clause,[],[f3389,f3041,f2676,f763,f3394,f3398]) ).
fof(f3389,plain,
( ! [X0] :
( ~ r1(sK76(sK87(sK98)),X0)
| ~ r1(sK87(sK98),sK76(sK87(sK98)))
| p2(X0) )
| ~ spl108_58
| ~ spl108_354
| spl108_398 ),
inference(resolution,[],[f3386,f1112]) ).
fof(f1112,plain,
( ! [X0,X1] :
( ~ p2(X1)
| ~ r1(X1,X0)
| ~ r1(sK87(sK98),X1)
| p2(X0) )
| ~ spl108_58 ),
inference(resolution,[],[f406,f765]) ).
fof(f406,plain,
! [X3,X0,X4] :
( ~ sP2(X0)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK87(X0),X3)
| ~ p2(X3) ),
inference(cnf_transformation,[],[f200]) ).
fof(f3386,plain,
( p2(sK76(sK87(sK98)))
| ~ spl108_58
| ~ spl108_354
| spl108_398 ),
inference(subsumption_resolution,[],[f3385,f765]) ).
fof(f3385,plain,
( p2(sK76(sK87(sK98)))
| ~ sP2(sK98)
| ~ spl108_354
| spl108_398 ),
inference(subsumption_resolution,[],[f3365,f3042]) ).
fof(f3365,plain,
( p2(sK87(sK98))
| p2(sK76(sK87(sK98)))
| ~ sP2(sK98)
| ~ spl108_354 ),
inference(resolution,[],[f3360,f404]) ).
fof(f3360,plain,
( ! [X0] :
( ~ r1(sK86(sK98),X0)
| p2(X0)
| p2(sK76(X0)) )
| ~ spl108_354 ),
inference(resolution,[],[f2678,f386]) ).
fof(f386,plain,
! [X0,X1] :
( ~ sP7(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK76(X1)) ),
inference(cnf_transformation,[],[f175]) ).
fof(f3357,plain,
( ~ spl108_57
| ~ spl108_58
| spl108_86
| ~ spl108_364 ),
inference(avatar_contradiction_clause,[],[f3356]) ).
fof(f3356,plain,
( $false
| ~ spl108_57
| ~ spl108_58
| spl108_86
| ~ spl108_364 ),
inference(subsumption_resolution,[],[f3355,f833]) ).
fof(f833,plain,
( r1(sK98,sK86(sK98))
| ~ spl108_58 ),
inference(resolution,[],[f765,f403]) ).
fof(f403,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK86(X0)) ),
inference(cnf_transformation,[],[f200]) ).
fof(f3355,plain,
( ~ r1(sK98,sK86(sK98))
| ~ spl108_57
| ~ spl108_58
| spl108_86
| ~ spl108_364 ),
inference(resolution,[],[f3333,f760]) ).
fof(f760,plain,
( sP3(sK98)
| ~ spl108_57 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f3333,plain,
( ! [X0] :
( ~ sP3(X0)
| ~ r1(X0,sK86(sK98)) )
| ~ spl108_57
| ~ spl108_58
| spl108_86
| ~ spl108_364 ),
inference(subsumption_resolution,[],[f3330,f932]) ).
fof(f932,plain,
( ~ p2(sK86(sK98))
| spl108_86 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f931,plain,
( spl108_86
<=> p2(sK86(sK98)) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_86])]) ).
fof(f3330,plain,
( ! [X0] :
( p2(sK86(sK98))
| ~ r1(X0,sK86(sK98))
| ~ sP3(X0) )
| ~ spl108_57
| ~ spl108_58
| spl108_86
| ~ spl108_364 ),
inference(resolution,[],[f3324,f401]) ).
fof(f401,plain,
! [X0,X1] :
( ~ p2(sK85(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ( p2(sK84(X1))
& ~ p2(sK85(X1))
& r1(sK84(X1),sK85(X1))
& r1(X1,sK84(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK84,sK85])],[f192,f194,f193]) ).
fof(f193,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK84(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK84(X1),X3) )
& r1(X1,sK84(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f194,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK84(X1),X3) )
=> ( ~ p2(sK85(X1))
& r1(sK84(X1),sK85(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X92] :
( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ~ sP3(X92) ),
inference(nnf_transformation,[],[f11]) ).
fof(f3324,plain,
( p2(sK85(sK86(sK98)))
| ~ spl108_57
| ~ spl108_58
| spl108_86
| ~ spl108_364 ),
inference(subsumption_resolution,[],[f3323,f932]) ).
fof(f3323,plain,
( p2(sK85(sK86(sK98)))
| p2(sK86(sK98))
| ~ spl108_57
| ~ spl108_58
| ~ spl108_364 ),
inference(subsumption_resolution,[],[f3312,f833]) ).
fof(f3312,plain,
( p2(sK85(sK86(sK98)))
| ~ r1(sK98,sK86(sK98))
| p2(sK86(sK98))
| ~ spl108_57
| ~ spl108_364 ),
inference(resolution,[],[f2780,f2661]) ).
fof(f2661,plain,
( ! [X0] :
( r1(sK84(X0),sK85(X0))
| ~ r1(sK98,X0)
| p2(X0) )
| ~ spl108_57 ),
inference(resolution,[],[f760,f400]) ).
fof(f400,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK84(X1),sK85(X1)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f2780,plain,
( ! [X0] :
( ~ r1(sK84(sK86(sK98)),X0)
| p2(X0) )
| ~ spl108_364 ),
inference(avatar_component_clause,[],[f2779]) ).
fof(f2779,plain,
( spl108_364
<=> ! [X0] :
( p2(X0)
| ~ r1(sK84(sK86(sK98)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_364])]) ).
fof(f3311,plain,
( spl108_364
| ~ spl108_57
| ~ spl108_58
| ~ spl108_85
| spl108_86
| ~ spl108_359 ),
inference(avatar_split_clause,[],[f3310,f2733,f931,f927,f763,f758,f2779]) ).
fof(f927,plain,
( spl108_85
<=> p2(sK84(sK86(sK98))) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_85])]) ).
fof(f2733,plain,
( spl108_359
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ p2(X0)
| p2(X1)
| ~ r1(sK86(sK98),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_359])]) ).
fof(f3310,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK84(sK86(sK98)),X0) )
| ~ spl108_57
| ~ spl108_58
| ~ spl108_85
| spl108_86
| ~ spl108_359 ),
inference(subsumption_resolution,[],[f3300,f929]) ).
fof(f929,plain,
( p2(sK84(sK86(sK98)))
| ~ spl108_85 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f3300,plain,
( ! [X0] :
( ~ p2(sK84(sK86(sK98)))
| p2(X0)
| ~ r1(sK84(sK86(sK98)),X0) )
| ~ spl108_57
| ~ spl108_58
| spl108_86
| ~ spl108_359 ),
inference(resolution,[],[f2734,f2823]) ).
fof(f2823,plain,
( r1(sK86(sK98),sK84(sK86(sK98)))
| ~ spl108_57
| ~ spl108_58
| spl108_86 ),
inference(subsumption_resolution,[],[f2812,f932]) ).
fof(f2812,plain,
( p2(sK86(sK98))
| r1(sK86(sK98),sK84(sK86(sK98)))
| ~ spl108_57
| ~ spl108_58 ),
inference(resolution,[],[f2662,f833]) ).
fof(f2662,plain,
( ! [X0] :
( ~ r1(sK98,X0)
| p2(X0)
| r1(X0,sK84(X0)) )
| ~ spl108_57 ),
inference(resolution,[],[f760,f399]) ).
fof(f399,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK84(X1)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f2734,plain,
( ! [X0,X1] :
( ~ r1(sK86(sK98),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl108_359 ),
inference(avatar_component_clause,[],[f2733]) ).
fof(f3277,plain,
( ~ spl108_58
| ~ spl108_355
| ~ spl108_397
| spl108_398 ),
inference(avatar_contradiction_clause,[],[f3276]) ).
fof(f3276,plain,
( $false
| ~ spl108_58
| ~ spl108_355
| ~ spl108_397
| spl108_398 ),
inference(subsumption_resolution,[],[f3275,f2989]) ).
fof(f2989,plain,
( sP5(sK87(sK98))
| ~ spl108_58
| ~ spl108_355 ),
inference(subsumption_resolution,[],[f2977,f765]) ).
fof(f2977,plain,
( sP5(sK87(sK98))
| ~ sP2(sK98)
| ~ spl108_355 ),
inference(resolution,[],[f2976,f404]) ).
fof(f2976,plain,
( ! [X0] :
( ~ r1(sK86(sK98),X0)
| sP5(X0) )
| ~ spl108_355 ),
inference(resolution,[],[f2682,f382]) ).
fof(f382,plain,
! [X0,X1] :
( ~ sP8(X0)
| ~ r1(X0,X1)
| sP5(X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ( sP5(X1)
& ( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK75(X1),X3) )
& ~ p2(sK75(X1))
& r1(X1,sK75(X1)) )
| sP4(X1) ) )
| ~ r1(X0,X1) )
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75])],[f168,f169]) ).
fof(f169,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(sK75(X1),X3) )
& ~ p2(sK75(X1))
& r1(X1,sK75(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f168,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,[],[f167]) ).
fof(f167,plain,
! [X93] :
( ! [X103] :
( ( sP5(X103)
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| sP4(X103) ) )
| ~ r1(X93,X103) )
| ~ sP8(X93) ),
inference(nnf_transformation,[],[f16]) ).
fof(f2682,plain,
( sP8(sK86(sK98))
| ~ spl108_355 ),
inference(avatar_component_clause,[],[f2680]) ).
fof(f2680,plain,
( spl108_355
<=> sP8(sK86(sK98)) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_355])]) ).
fof(f3275,plain,
( ~ sP5(sK87(sK98))
| ~ spl108_58
| ~ spl108_355
| ~ spl108_397
| spl108_398 ),
inference(subsumption_resolution,[],[f3272,f3042]) ).
fof(f3272,plain,
( p2(sK87(sK98))
| ~ sP5(sK87(sK98))
| ~ spl108_58
| ~ spl108_355
| ~ spl108_397
| spl108_398 ),
inference(resolution,[],[f3238,f393]) ).
fof(f393,plain,
! [X0] :
( ~ p2(sK81(X0))
| p2(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ( p2(sK80(X0))
& ~ p2(sK81(X0))
& r1(sK80(X0),sK81(X0))
& r1(X0,sK80(X0)) )
| p2(X0)
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK80,sK81])],[f182,f184,f183]) ).
fof(f183,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK80(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK80(X0),X2) )
& r1(X0,sK80(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f184,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK80(X0),X2) )
=> ( ~ p2(sK81(X0))
& r1(sK80(X0),sK81(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f182,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0)
| ~ sP5(X0) ),
inference(rectify,[],[f181]) ).
fof(f181,plain,
! [X103] :
( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103)
| ~ sP5(X103) ),
inference(nnf_transformation,[],[f13]) ).
fof(f3238,plain,
( p2(sK81(sK87(sK98)))
| ~ spl108_58
| ~ spl108_355
| ~ spl108_397
| spl108_398 ),
inference(subsumption_resolution,[],[f3237,f2989]) ).
fof(f3237,plain,
( p2(sK81(sK87(sK98)))
| ~ sP5(sK87(sK98))
| ~ spl108_58
| ~ spl108_355
| ~ spl108_397
| spl108_398 ),
inference(subsumption_resolution,[],[f3227,f3042]) ).
fof(f3227,plain,
( p2(sK81(sK87(sK98)))
| p2(sK87(sK98))
| ~ sP5(sK87(sK98))
| ~ spl108_58
| ~ spl108_355
| ~ spl108_397
| spl108_398 ),
inference(resolution,[],[f3180,f392]) ).
fof(f392,plain,
! [X0] :
( r1(sK80(X0),sK81(X0))
| p2(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f3180,plain,
( ! [X0] :
( ~ r1(sK80(sK87(sK98)),X0)
| p2(X0) )
| ~ spl108_58
| ~ spl108_355
| ~ spl108_397
| spl108_398 ),
inference(subsumption_resolution,[],[f3179,f2989]) ).
fof(f3179,plain,
( ! [X0] :
( ~ r1(sK80(sK87(sK98)),X0)
| p2(X0)
| ~ sP5(sK87(sK98)) )
| ~ spl108_58
| ~ spl108_397
| spl108_398 ),
inference(subsumption_resolution,[],[f3178,f3042]) ).
fof(f3178,plain,
( ! [X0] :
( ~ r1(sK80(sK87(sK98)),X0)
| p2(X0)
| p2(sK87(sK98))
| ~ sP5(sK87(sK98)) )
| ~ spl108_58
| ~ spl108_397 ),
inference(resolution,[],[f3039,f1113]) ).
fof(f1113,plain,
( ! [X0,X1] :
( ~ r1(sK87(sK98),sK80(X0))
| ~ r1(sK80(X0),X1)
| p2(X1)
| p2(X0)
| ~ sP5(X0) )
| ~ spl108_58 ),
inference(resolution,[],[f1112,f394]) ).
fof(f394,plain,
! [X0] :
( p2(sK80(X0))
| p2(X0)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f3039,plain,
( r1(sK87(sK98),sK80(sK87(sK98)))
| ~ spl108_397 ),
inference(avatar_component_clause,[],[f3037]) ).
fof(f3037,plain,
( spl108_397
<=> r1(sK87(sK98),sK80(sK87(sK98))) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_397])]) ).
fof(f3144,plain,
( ~ spl108_58
| ~ spl108_398 ),
inference(avatar_contradiction_clause,[],[f3143]) ).
fof(f3143,plain,
( $false
| ~ spl108_58
| ~ spl108_398 ),
inference(subsumption_resolution,[],[f3140,f765]) ).
fof(f3140,plain,
( ~ sP2(sK98)
| ~ spl108_398 ),
inference(resolution,[],[f3043,f405]) ).
fof(f405,plain,
! [X0] :
( ~ p2(sK87(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f3043,plain,
( p2(sK87(sK98))
| ~ spl108_398 ),
inference(avatar_component_clause,[],[f3041]) ).
fof(f3044,plain,
( spl108_397
| spl108_398
| ~ spl108_58
| ~ spl108_355 ),
inference(avatar_split_clause,[],[f3035,f2680,f763,f3041,f3037]) ).
fof(f3035,plain,
( p2(sK87(sK98))
| r1(sK87(sK98),sK80(sK87(sK98)))
| ~ spl108_58
| ~ spl108_355 ),
inference(resolution,[],[f2989,f391]) ).
fof(f391,plain,
! [X0] :
( ~ sP5(X0)
| p2(X0)
| r1(X0,sK80(X0)) ),
inference(cnf_transformation,[],[f185]) ).
fof(f2735,plain,
( spl108_355
| spl108_354
| spl108_359
| ~ spl108_27
| ~ spl108_58 ),
inference(avatar_split_clause,[],[f2721,f763,f577,f2733,f2676,f2680]) ).
fof(f577,plain,
( spl108_27
<=> sP10(sK98) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_27])]) ).
fof(f2721,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK86(sK98),X0)
| sP7(sK86(sK98))
| sP8(sK86(sK98))
| p2(X1)
| ~ p2(X0) )
| ~ spl108_27
| ~ spl108_58 ),
inference(resolution,[],[f2647,f833]) ).
fof(f2647,plain,
( ! [X2,X0,X1] :
( ~ r1(sK98,X2)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| sP7(X2)
| sP8(X2)
| p2(X0)
| ~ p2(X1) )
| ~ spl108_27 ),
inference(resolution,[],[f579,f374]) ).
fof(f374,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,[],[f164]) ).
fof(f164,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,[],[f163]) ).
fof(f163,plain,
! [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| ( sP7(X93)
& sP6(X93) )
| sP8(X93)
| ~ r1(X92,X93) )
| ~ sP10(X92) ),
inference(nnf_transformation,[],[f18]) ).
fof(f579,plain,
( sP10(sK98)
| ~ spl108_27 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f2683,plain,
( ~ spl108_86
| spl108_354
| spl108_355
| ~ spl108_27
| ~ spl108_58 ),
inference(avatar_split_clause,[],[f2664,f763,f577,f2680,f2676,f931]) ).
fof(f2664,plain,
( sP8(sK86(sK98))
| sP7(sK86(sK98))
| ~ p2(sK86(sK98))
| ~ spl108_27
| ~ spl108_58 ),
inference(resolution,[],[f2649,f833]) ).
fof(f2649,plain,
( ! [X0] :
( ~ r1(sK98,X0)
| sP8(X0)
| sP7(X0)
| ~ p2(X0) )
| ~ spl108_27 ),
inference(resolution,[],[f579,f372]) ).
fof(f372,plain,
! [X0,X1] :
( ~ sP10(X0)
| sP7(X1)
| sP8(X1)
| ~ r1(X0,X1)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f2658,plain,
( spl108_57
| spl108_353
| ~ spl108_28 ),
inference(avatar_split_clause,[],[f2651,f582,f2656,f758]) ).
fof(f2651,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK98,X1)
| sP3(sK98)
| ~ p2(X1) )
| ~ spl108_28 ),
inference(resolution,[],[f584,f378]) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ sP9(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP3(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f2646,plain,
( ~ spl108_26
| spl108_55
| ~ spl108_82 ),
inference(avatar_split_clause,[],[f2631,f902,f747,f573]) ).
fof(f573,plain,
( spl108_26
<=> sP11(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_26])]) ).
fof(f747,plain,
( spl108_55
<=> sP0(sK92) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_55])]) ).
fof(f902,plain,
( spl108_82
<=> p2(sK74(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_82])]) ).
fof(f2631,plain,
( ~ sP11(sK92)
| spl108_55
| ~ spl108_82 ),
inference(subsumption_resolution,[],[f2628,f748]) ).
fof(f748,plain,
( ~ sP0(sK92)
| spl108_55 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f2628,plain,
( sP0(sK92)
| ~ sP11(sK92)
| ~ spl108_82 ),
inference(resolution,[],[f904,f368]) ).
fof(f368,plain,
! [X0] :
( ~ p2(sK74(X0))
| sP0(X0)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( sP1(X0)
& ( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK74(X0),X2) )
& ~ p2(sK74(X0))
& r1(X0,sK74(X0)) )
| sP0(X0) ) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK74])],[f160,f161]) ).
fof(f161,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(sK74(X0),X2) )
& ~ p2(sK74(X0))
& r1(X0,sK74(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,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,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ( sP1(X0)
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| sP0(X0) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f19]) ).
fof(f904,plain,
( p2(sK74(sK92))
| ~ spl108_82 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f2615,plain,
( spl108_82
| ~ spl108_54
| ~ spl108_341 ),
inference(avatar_split_clause,[],[f2614,f2580,f743,f902]) ).
fof(f743,plain,
( spl108_54
<=> r1(sK92,sK74(sK92)) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_54])]) ).
fof(f2580,plain,
( spl108_341
<=> p2(sK103(sK74(sK92))) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_341])]) ).
fof(f2614,plain,
( p2(sK74(sK92))
| ~ spl108_54
| ~ spl108_341 ),
inference(subsumption_resolution,[],[f2611,f745]) ).
fof(f745,plain,
( r1(sK92,sK74(sK92))
| ~ spl108_54 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f2611,plain,
( p2(sK74(sK92))
| ~ r1(sK92,sK74(sK92))
| ~ spl108_341 ),
inference(resolution,[],[f2582,f425]) ).
fof(f2582,plain,
( p2(sK103(sK74(sK92)))
| ~ spl108_341 ),
inference(avatar_component_clause,[],[f2580]) ).
fof(f2583,plain,
( spl108_82
| spl108_341
| ~ spl108_54
| ~ spl108_336 ),
inference(avatar_split_clause,[],[f2578,f2545,f743,f2580,f902]) ).
fof(f2545,plain,
( spl108_336
<=> ! [X0] :
( p2(X0)
| ~ r1(sK102(sK74(sK92)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_336])]) ).
fof(f2578,plain,
( p2(sK103(sK74(sK92)))
| p2(sK74(sK92))
| ~ spl108_54
| ~ spl108_336 ),
inference(subsumption_resolution,[],[f2568,f745]) ).
fof(f2568,plain,
( p2(sK103(sK74(sK92)))
| p2(sK74(sK92))
| ~ r1(sK92,sK74(sK92))
| ~ spl108_336 ),
inference(resolution,[],[f2546,f424]) ).
fof(f2546,plain,
( ! [X0] :
( ~ r1(sK102(sK74(sK92)),X0)
| p2(X0) )
| ~ spl108_336 ),
inference(avatar_component_clause,[],[f2545]) ).
fof(f2547,plain,
( spl108_82
| spl108_336
| ~ spl108_81
| ~ spl108_54
| ~ spl108_333 ),
inference(avatar_split_clause,[],[f2543,f2516,f743,f898,f2545,f902]) ).
fof(f898,plain,
( spl108_81
<=> p2(sK102(sK74(sK92))) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_81])]) ).
fof(f2516,plain,
( spl108_333
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK74(sK92),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_333])]) ).
fof(f2543,plain,
( ! [X0] :
( ~ p2(sK102(sK74(sK92)))
| p2(X0)
| ~ r1(sK102(sK74(sK92)),X0)
| p2(sK74(sK92)) )
| ~ spl108_54
| ~ spl108_333 ),
inference(subsumption_resolution,[],[f2532,f745]) ).
fof(f2532,plain,
( ! [X0] :
( ~ p2(sK102(sK74(sK92)))
| p2(X0)
| ~ r1(sK102(sK74(sK92)),X0)
| p2(sK74(sK92))
| ~ r1(sK92,sK74(sK92)) )
| ~ spl108_333 ),
inference(resolution,[],[f2517,f423]) ).
fof(f2517,plain,
( ! [X0,X1] :
( ~ r1(sK74(sK92),X1)
| ~ p2(X1)
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl108_333 ),
inference(avatar_component_clause,[],[f2516]) ).
fof(f2523,plain,
( spl108_81
| spl108_82
| ~ spl108_54 ),
inference(avatar_split_clause,[],[f2520,f743,f902,f898]) ).
fof(f2520,plain,
( p2(sK74(sK92))
| p2(sK102(sK74(sK92)))
| ~ spl108_54 ),
inference(resolution,[],[f745,f426]) ).
fof(f426,plain,
! [X29] :
( ~ r1(sK92,X29)
| p2(X29)
| p2(sK102(X29)) ),
inference(cnf_transformation,[],[f228]) ).
fof(f2518,plain,
( spl108_55
| spl108_333
| ~ spl108_26 ),
inference(avatar_split_clause,[],[f1281,f573,f2516,f747]) ).
fof(f1281,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK74(sK92),X1)
| sP0(sK92)
| ~ p2(X1) )
| ~ spl108_26 ),
inference(resolution,[],[f369,f575]) ).
fof(f575,plain,
( sP11(sK92)
| ~ spl108_26 ),
inference(avatar_component_clause,[],[f573]) ).
fof(f369,plain,
! [X2,X3,X0] :
( ~ sP11(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK74(X0),X2)
| sP0(X0)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f162]) ).
fof(f2514,plain,
( spl108_54
| spl108_55
| ~ spl108_26 ),
inference(avatar_split_clause,[],[f1085,f573,f747,f743]) ).
fof(f1085,plain,
( sP0(sK92)
| r1(sK92,sK74(sK92))
| ~ spl108_26 ),
inference(resolution,[],[f575,f367]) ).
fof(f367,plain,
! [X0] :
( ~ sP11(X0)
| sP0(X0)
| r1(X0,sK74(X0)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f2513,plain,
( ~ spl108_55
| spl108_247
| ~ spl108_295
| ~ spl108_300 ),
inference(avatar_contradiction_clause,[],[f2512]) ).
fof(f2512,plain,
( $false
| ~ spl108_55
| spl108_247
| ~ spl108_295
| ~ spl108_300 ),
inference(subsumption_resolution,[],[f2507,f421]) ).
fof(f421,plain,
r1(sK92,sK104),
inference(cnf_transformation,[],[f228]) ).
fof(f2507,plain,
( ~ r1(sK92,sK104)
| ~ spl108_55
| spl108_247
| ~ spl108_295
| ~ spl108_300 ),
inference(resolution,[],[f2505,f2273]) ).
fof(f2273,plain,
( r1(sK104,sK93(sK104))
| ~ spl108_300 ),
inference(avatar_component_clause,[],[f2272]) ).
fof(f2272,plain,
( spl108_300
<=> r1(sK104,sK93(sK104)) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_300])]) ).
fof(f2505,plain,
( ! [X0] :
( ~ r1(X0,sK93(sK104))
| ~ r1(sK92,X0) )
| ~ spl108_55
| spl108_247
| ~ spl108_295 ),
inference(resolution,[],[f2439,f749]) ).
fof(f749,plain,
( sP0(sK92)
| ~ spl108_55 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f2439,plain,
( ! [X0,X1] :
( ~ sP0(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK93(sK104)) )
| spl108_247
| ~ spl108_295 ),
inference(subsumption_resolution,[],[f2436,f1911]) ).
fof(f1911,plain,
( ~ p2(sK93(sK104))
| spl108_247 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f1910,plain,
( spl108_247
<=> p2(sK93(sK104)) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_247])]) ).
fof(f2436,plain,
( ! [X0,X1] :
( p2(sK93(sK104))
| ~ r1(X0,sK93(sK104))
| ~ r1(X1,X0)
| ~ sP0(X1) )
| ~ spl108_295 ),
inference(resolution,[],[f2250,f413]) ).
fof(f413,plain,
! [X2,X0,X1] :
( ~ p2(sK91(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK90(X2))
& ~ p2(sK91(X2))
& r1(sK90(X2),sK91(X2))
& r1(X2,sK90(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK90,sK91])],[f207,f209,f208]) ).
fof(f208,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK90(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK90(X2),X4) )
& r1(X2,sK90(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK90(X2),X4) )
=> ( ~ p2(sK91(X2))
& r1(sK90(X2),sK91(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f207,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,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f2250,plain,
( p2(sK91(sK93(sK104)))
| ~ spl108_295 ),
inference(avatar_component_clause,[],[f2248]) ).
fof(f2248,plain,
( spl108_295
<=> p2(sK91(sK93(sK104))) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_295])]) ).
fof(f2435,plain,
( ~ spl108_255
| ~ spl108_288 ),
inference(avatar_contradiction_clause,[],[f2434]) ).
fof(f2434,plain,
( $false
| ~ spl108_255
| ~ spl108_288 ),
inference(subsumption_resolution,[],[f2433,f422]) ).
fof(f422,plain,
~ p2(sK104),
inference(cnf_transformation,[],[f228]) ).
fof(f2433,plain,
( p2(sK104)
| ~ spl108_255
| ~ spl108_288 ),
inference(subsumption_resolution,[],[f2432,f421]) ).
fof(f2432,plain,
( ~ r1(sK92,sK104)
| p2(sK104)
| ~ spl108_255
| ~ spl108_288 ),
inference(resolution,[],[f1952,f2198]) ).
fof(f2198,plain,
( r1(sK93(sK104),sK90(sK93(sK104)))
| ~ spl108_288 ),
inference(avatar_component_clause,[],[f2196]) ).
fof(f2196,plain,
( spl108_288
<=> r1(sK93(sK104),sK90(sK93(sK104))) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_288])]) ).
fof(f1952,plain,
( ! [X1] :
( ~ r1(sK93(X1),sK90(sK93(sK104)))
| ~ r1(sK92,X1)
| p2(X1) )
| ~ spl108_255 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1951,plain,
( spl108_255
<=> ! [X1] :
( ~ r1(sK93(X1),sK90(sK93(sK104)))
| ~ r1(sK92,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_255])]) ).
fof(f2392,plain,
( spl108_288
| ~ spl108_55
| spl108_247
| ~ spl108_300 ),
inference(avatar_split_clause,[],[f2391,f2272,f1910,f747,f2196]) ).
fof(f2391,plain,
( r1(sK93(sK104),sK90(sK93(sK104)))
| ~ spl108_55
| spl108_247
| ~ spl108_300 ),
inference(subsumption_resolution,[],[f2389,f1911]) ).
fof(f2389,plain,
( p2(sK93(sK104))
| r1(sK93(sK104),sK90(sK93(sK104)))
| ~ spl108_55
| ~ spl108_300 ),
inference(resolution,[],[f2273,f2048]) ).
fof(f2048,plain,
( ! [X0] :
( ~ r1(sK104,X0)
| p2(X0)
| r1(X0,sK90(X0)) )
| ~ spl108_55 ),
inference(resolution,[],[f1223,f421]) ).
fof(f1223,plain,
( ! [X0,X1] :
( ~ r1(sK92,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(X0,sK90(X0)) )
| ~ spl108_55 ),
inference(resolution,[],[f411,f749]) ).
fof(f411,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK90(X2)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f2376,plain,
~ spl108_247,
inference(avatar_contradiction_clause,[],[f2375]) ).
fof(f2375,plain,
( $false
| ~ spl108_247 ),
inference(subsumption_resolution,[],[f2374,f421]) ).
fof(f2374,plain,
( ~ r1(sK92,sK104)
| ~ spl108_247 ),
inference(subsumption_resolution,[],[f2371,f422]) ).
fof(f2371,plain,
( p2(sK104)
| ~ r1(sK92,sK104)
| ~ spl108_247 ),
inference(resolution,[],[f1912,f455]) ).
fof(f455,plain,
! [X1] :
( ~ p2(sK93(X1))
| p2(X1)
| ~ r1(sK92,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f1912,plain,
( p2(sK93(sK104))
| ~ spl108_247 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f2370,plain,
spl108_300,
inference(avatar_contradiction_clause,[],[f2369]) ).
fof(f2369,plain,
( $false
| spl108_300 ),
inference(subsumption_resolution,[],[f2368,f421]) ).
fof(f2368,plain,
( ~ r1(sK92,sK104)
| spl108_300 ),
inference(subsumption_resolution,[],[f2367,f422]) ).
fof(f2367,plain,
( p2(sK104)
| ~ r1(sK92,sK104)
| spl108_300 ),
inference(resolution,[],[f2274,f454]) ).
fof(f454,plain,
! [X1] :
( r1(X1,sK93(X1))
| p2(X1)
| ~ r1(sK92,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f2274,plain,
( ~ r1(sK104,sK93(sK104))
| spl108_300 ),
inference(avatar_component_clause,[],[f2272]) ).
fof(f2275,plain,
( spl108_295
| ~ spl108_300
| spl108_247
| ~ spl108_55
| ~ spl108_256 ),
inference(avatar_split_clause,[],[f2270,f1954,f747,f1910,f2272,f2248]) ).
fof(f1954,plain,
( spl108_256
<=> ! [X0] :
( p2(X0)
| ~ r1(sK90(sK93(sK104)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_256])]) ).
fof(f2270,plain,
( p2(sK93(sK104))
| ~ r1(sK104,sK93(sK104))
| p2(sK91(sK93(sK104)))
| ~ spl108_55
| ~ spl108_256 ),
inference(resolution,[],[f2061,f1955]) ).
fof(f1955,plain,
( ! [X0] :
( ~ r1(sK90(sK93(sK104)),X0)
| p2(X0) )
| ~ spl108_256 ),
inference(avatar_component_clause,[],[f1954]) ).
fof(f2061,plain,
( ! [X0] :
( r1(sK90(X0),sK91(X0))
| p2(X0)
| ~ r1(sK104,X0) )
| ~ spl108_55 ),
inference(resolution,[],[f1282,f421]) ).
fof(f1282,plain,
( ! [X0,X1] :
( ~ r1(sK92,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK90(X0),sK91(X0)) )
| ~ spl108_55 ),
inference(resolution,[],[f412,f749]) ).
fof(f412,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK90(X2),sK91(X2)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f1956,plain,
( spl108_255
| spl108_256
| ~ spl108_246 ),
inference(avatar_split_clause,[],[f1948,f1906,f1954,f1951]) ).
fof(f1906,plain,
( spl108_246
<=> p2(sK90(sK93(sK104))) ),
introduced(avatar_definition,[new_symbols(naming,[spl108_246])]) ).
fof(f1948,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK90(sK93(sK104)),X0)
| ~ r1(sK93(X1),sK90(sK93(sK104)))
| p2(X1)
| ~ r1(sK92,X1) )
| ~ spl108_246 ),
inference(resolution,[],[f1908,f456]) ).
fof(f456,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK93(X1),X3)
| p2(X1)
| ~ r1(sK92,X1) ),
inference(cnf_transformation,[],[f228]) ).
fof(f1908,plain,
( p2(sK90(sK93(sK104)))
| ~ spl108_246 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f1913,plain,
( spl108_246
| spl108_247
| ~ spl108_55 ),
inference(avatar_split_clause,[],[f1904,f747,f1910,f1906]) ).
fof(f1904,plain,
( p2(sK93(sK104))
| p2(sK90(sK93(sK104)))
| ~ spl108_55 ),
inference(subsumption_resolution,[],[f1903,f421]) ).
fof(f1903,plain,
( p2(sK93(sK104))
| p2(sK90(sK93(sK104)))
| ~ r1(sK92,sK104)
| ~ spl108_55 ),
inference(subsumption_resolution,[],[f1849,f422]) ).
fof(f1849,plain,
( p2(sK93(sK104))
| p2(sK90(sK93(sK104)))
| p2(sK104)
| ~ r1(sK92,sK104)
| ~ spl108_55 ),
inference(resolution,[],[f1212,f454]) ).
fof(f1212,plain,
( ! [X0] :
( ~ r1(sK104,X0)
| p2(X0)
| p2(sK90(X0)) )
| ~ spl108_55 ),
inference(resolution,[],[f1169,f421]) ).
fof(f1169,plain,
( ! [X0,X1] :
( ~ r1(sK92,X1)
| ~ r1(X1,X0)
| p2(X0)
| p2(sK90(X0)) )
| ~ spl108_55 ),
inference(resolution,[],[f414,f749]) ).
fof(f414,plain,
! [X2,X0,X1] :
( ~ sP0(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK90(X2)) ),
inference(cnf_transformation,[],[f210]) ).
fof(f934,plain,
( spl108_85
| spl108_86
| ~ spl108_57
| ~ spl108_58 ),
inference(avatar_split_clause,[],[f916,f763,f758,f931,f927]) ).
fof(f916,plain,
( p2(sK86(sK98))
| p2(sK84(sK86(sK98)))
| ~ spl108_57
| ~ spl108_58 ),
inference(resolution,[],[f915,f833]) ).
fof(f915,plain,
( ! [X0] :
( ~ r1(sK98,X0)
| p2(X0)
| p2(sK84(X0)) )
| ~ spl108_57 ),
inference(resolution,[],[f402,f760]) ).
fof(f402,plain,
! [X0,X1] :
( ~ sP3(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK84(X1)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f806,plain,
( spl108_61
| spl108_56
| ~ spl108_29 ),
inference(avatar_split_clause,[],[f803,f587,f754,f780]) ).
fof(f803,plain,
( p2(sK98)
| p2(sK102(sK98))
| ~ spl108_29 ),
inference(resolution,[],[f589,f426]) ).
fof(f766,plain,
( ~ spl108_56
| spl108_58
| ~ spl108_28 ),
inference(avatar_split_clause,[],[f752,f582,f763,f754]) ).
fof(f752,plain,
( sP2(sK98)
| ~ p2(sK98)
| ~ spl108_28 ),
inference(resolution,[],[f584,f375]) ).
fof(f375,plain,
! [X0] :
( ~ sP9(X0)
| sP2(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f590,plain,
( spl108_26
| spl108_29 ),
inference(avatar_split_clause,[],[f433,f587,f573]) ).
fof(f433,plain,
( r1(sK92,sK98)
| sP11(sK92) ),
inference(cnf_transformation,[],[f228]) ).
fof(f585,plain,
( spl108_26
| spl108_28 ),
inference(avatar_split_clause,[],[f434,f582,f573]) ).
fof(f434,plain,
( sP9(sK98)
| sP11(sK92) ),
inference(cnf_transformation,[],[f228]) ).
fof(f580,plain,
( spl108_26
| spl108_27 ),
inference(avatar_split_clause,[],[f435,f577,f573]) ).
fof(f435,plain,
( sP10(sK98)
| sP11(sK92) ),
inference(cnf_transformation,[],[f228]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL642+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n016.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Apr 29 23:09:55 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.11/0.31 % (19835)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (19839)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33 % (19836)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 % (19838)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)
% 0.16/0.33 % (19840)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33 % (19841)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33 % (19842)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)
% 0.16/0.33 % (19837)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [1]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [2]
% 0.16/0.34 TRYING [3]
% 0.16/0.35 TRYING [1]
% 0.16/0.35 TRYING [3]
% 0.16/0.35 TRYING [2]
% 0.16/0.36 TRYING [1]
% 0.16/0.36 TRYING [3]
% 0.16/0.36 TRYING [4]
% 0.16/0.36 TRYING [2]
% 0.16/0.36 TRYING [4]
% 0.16/0.37 % (19841)First to succeed.
% 0.16/0.37 TRYING [3]
% 0.16/0.37 TRYING [4]
% 0.16/0.38 % (19841)Refutation found. Thanks to Tanya!
% 0.16/0.38 % SZS status Theorem for theBenchmark
% 0.16/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.38 % (19841)------------------------------
% 0.16/0.38 % (19841)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.38 % (19841)Termination reason: Refutation
% 0.16/0.38
% 0.16/0.38 % (19841)Memory used [KB]: 2351
% 0.16/0.38 % (19841)Time elapsed: 0.052 s
% 0.16/0.38 % (19841)Instructions burned: 109 (million)
% 0.16/0.38 % (19841)------------------------------
% 0.16/0.38 % (19841)------------------------------
% 0.16/0.38 % (19835)Success in time 0.071 s
%------------------------------------------------------------------------------