TSTP Solution File: LCL660+1.010 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL660+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 : n003.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 : Sun May 5 07:51:15 EDT 2024
% Result : Theorem 1.55s 0.61s
% Output : Refutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 132
% Syntax : Number of formulae : 544 ( 3 unt; 0 def)
% Number of atoms : 5824 ( 0 equ)
% Maximal formula atoms : 423 ( 10 avg)
% Number of connectives : 8319 (3039 ~;4160 |;1032 &)
% ( 56 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 105 ( 104 usr; 57 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 9 con; 0-1 aty)
% Number of variables : 1806 (1453 !; 353 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15161,plain,
$false,
inference(avatar_sat_refutation,[],[f608,f613,f618,f626,f630,f638,f643,f648,f872,f877,f988,f1255,f1257,f1611,f1767,f1860,f1896,f2312,f2630,f3034,f3145,f3705,f4763,f4919,f6011,f6410,f6522,f6566,f6700,f6898,f7933,f8131,f8300,f8387,f8655,f8732,f8781,f9002,f9003,f9036,f9130,f9136,f9544,f9546,f9797,f9850,f10410,f10444,f10604,f10794,f10961,f11237,f11576,f11616,f11658,f11665,f13077,f15126,f15132,f15160]) ).
fof(f15160,plain,
( spl115_1320
| ~ spl115_34
| ~ spl115_66
| spl115_204
| ~ spl115_214 ),
inference(avatar_split_clause,[],[f15159,f1810,f1752,f854,f635,f9842]) ).
fof(f9842,plain,
( spl115_1320
<=> ! [X0] :
( p2(X0)
| ~ r1(sK98(sK77(sK100)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1320])]) ).
fof(f635,plain,
( spl115_34
<=> sP0(sK100) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_34])]) ).
fof(f854,plain,
( spl115_66
<=> r1(sK100,sK77(sK100)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_66])]) ).
fof(f1752,plain,
( spl115_204
<=> p2(sK77(sK100)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_204])]) ).
fof(f1810,plain,
( spl115_214
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK77(sK100),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_214])]) ).
fof(f15159,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK98(sK77(sK100)),X0) )
| ~ spl115_34
| ~ spl115_66
| spl115_204
| ~ spl115_214 ),
inference(subsumption_resolution,[],[f15145,f9667]) ).
fof(f9667,plain,
( p2(sK98(sK77(sK100)))
| ~ spl115_34
| ~ spl115_66
| spl115_204 ),
inference(subsumption_resolution,[],[f9649,f1753]) ).
fof(f1753,plain,
( ~ p2(sK77(sK100))
| spl115_204 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f9649,plain,
( p2(sK77(sK100))
| p2(sK98(sK77(sK100)))
| ~ spl115_34
| ~ spl115_66 ),
inference(resolution,[],[f9603,f856]) ).
fof(f856,plain,
( r1(sK100,sK77(sK100))
| ~ spl115_66 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f9603,plain,
( ! [X0] :
( ~ r1(sK100,X0)
| p2(X0)
| p2(sK98(X0)) )
| ~ spl115_34 ),
inference(resolution,[],[f637,f442]) ).
fof(f442,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK98(X1)) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( ( p2(sK98(X1))
& ~ p2(sK99(X1))
& r1(sK98(X1),sK99(X1))
& r1(X1,sK98(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK98,sK99])],[f225,f227,f226]) ).
fof(f226,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK98(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK98(X1),X3) )
& r1(X1,sK98(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f227,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK98(X1),X3) )
=> ( ~ p2(sK99(X1))
& r1(sK98(X1),sK99(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f224]) ).
fof(f224,plain,
! [X0] :
( ! [X145] :
( ? [X146] :
( p2(X146)
& ? [X147] :
( ~ p2(X147)
& r1(X146,X147) )
& r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ! [X145] :
( ? [X146] :
( p2(X146)
& ? [X147] :
( ~ p2(X147)
& r1(X146,X147) )
& r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f637,plain,
( sP0(sK100)
| ~ spl115_34 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f15145,plain,
( ! [X0] :
( ~ p2(sK98(sK77(sK100)))
| p2(X0)
| ~ r1(sK98(sK77(sK100)),X0) )
| ~ spl115_34
| ~ spl115_66
| spl115_204
| ~ spl115_214 ),
inference(resolution,[],[f1811,f9700]) ).
fof(f9700,plain,
( r1(sK77(sK100),sK98(sK77(sK100)))
| ~ spl115_34
| ~ spl115_66
| spl115_204 ),
inference(subsumption_resolution,[],[f9682,f1753]) ).
fof(f9682,plain,
( p2(sK77(sK100))
| r1(sK77(sK100),sK98(sK77(sK100)))
| ~ spl115_34
| ~ spl115_66 ),
inference(resolution,[],[f9602,f856]) ).
fof(f9602,plain,
( ! [X0] :
( ~ r1(sK100,X0)
| p2(X0)
| r1(X0,sK98(X0)) )
| ~ spl115_34 ),
inference(resolution,[],[f637,f439]) ).
fof(f439,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK98(X1)) ),
inference(cnf_transformation,[],[f228]) ).
fof(f1811,plain,
( ! [X0,X1] :
( ~ r1(sK77(sK100),X1)
| ~ p2(X1)
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl115_214 ),
inference(avatar_component_clause,[],[f1810]) ).
fof(f15132,plain,
( spl115_35
| ~ spl115_36
| ~ spl115_1416 ),
inference(avatar_contradiction_clause,[],[f15131]) ).
fof(f15131,plain,
( $false
| spl115_35
| ~ spl115_36
| ~ spl115_1416 ),
inference(subsumption_resolution,[],[f15130,f647]) ).
fof(f647,plain,
( r1(sK100,sK114)
| ~ spl115_36 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f645,plain,
( spl115_36
<=> r1(sK100,sK114) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_36])]) ).
fof(f15130,plain,
( ~ r1(sK100,sK114)
| spl115_35
| ~ spl115_1416 ),
inference(subsumption_resolution,[],[f15127,f642]) ).
fof(f642,plain,
( ~ p2(sK114)
| spl115_35 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f640,plain,
( spl115_35
<=> p2(sK114) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_35])]) ).
fof(f15127,plain,
( p2(sK114)
| ~ r1(sK100,sK114)
| ~ spl115_1416 ),
inference(resolution,[],[f10603,f482]) ).
fof(f482,plain,
! [X1] :
( ~ p2(sK101(X1))
| p2(X1)
| ~ r1(sK100,X1) ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK101(X1),X3) )
& ~ p2(sK101(X1))
& r1(X1,sK101(X1)) )
| p2(X1)
| ~ r1(sK100,X1) )
& ( ( sP41(sK102)
& r1(sK102,sK103)
& ~ p1(sK102)
& r1(sK100,sK102) )
| ! [X7] : ~ r1(sK100,X7)
| p1(sK100) )
& ( sP40(sK100)
| ! [X8] : ~ r1(sK100,X8)
| p1(sK100)
| p2(sK100) )
& ( sP38(sK100)
| ! [X9] : ~ r1(sK100,X9)
| p1(sK100)
| p2(sK100)
| p3(sK100) )
& ( sP36(sK100)
| ! [X10] : ~ r1(sK100,X10)
| p1(sK100)
| p2(sK100)
| p3(sK100)
| p4(sK100) )
& ( ( sP34(sK104)
& sP33(sK104)
& ~ p1(sK104)
& r1(sK100,sK104) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(sK100,X12) )
| p1(sK100) )
& ( sP31(sK100)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(sK100,X14) )
| p1(sK100)
| p2(sK100) )
& ( sP27(sK100)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(sK100,X16) )
| p1(sK100)
| p2(sK100)
| p3(sK100) )
& ( sP23(sK100)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(sK100,X18) )
| p1(sK100)
| p2(sK100)
| p3(sK100)
| p4(sK100) )
& ( ( sP19(sK105)
& sP18(sK105)
& ~ p1(sK105)
& r1(sK100,sK105) )
| ! [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(sK100,X21) )
| p1(sK100) )
& ( ( sP13(sK106)
& sP12(sK106)
& r1(sK100,sK106) )
| sP14(sK100) )
& ! [X25] :
( ( p1(sK107(X25))
& ~ p1(sK108(X25))
& r1(sK107(X25),sK108(X25))
& r1(X25,sK107(X25)) )
| p1(X25)
| ~ r1(sK100,X25) )
& ~ p1(sK109)
& r1(sK100,sK109)
& ( sP2(sK100)
| ! [X29] :
( ( p5(sK110(X29))
& r1(X29,sK110(X29)) )
| ~ r1(sK100,X29) ) )
& ! [X31] :
( ( p3(sK111(X31))
& ~ p3(sK112(X31))
& r1(sK111(X31),sK112(X31))
& r1(X31,sK111(X31)) )
| p3(X31)
| ~ r1(sK100,X31) )
& ~ p3(sK113)
& r1(sK100,sK113)
& ( ( sP0(sK100)
& ~ p2(sK114)
& r1(sK100,sK114) )
| ! [X36] :
( ~ p5(X36)
| ~ r1(sK100,X36) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK100,sK101,sK102,sK103,sK104,sK105,sK106,sK107,sK108,sK109,sK110,sK111,sK112,sK113,sK114])],[f229,f244,f243,f242,f241,f240,f239,f238,f237,f236,f235,f234,f233,f232,f231,f230]) ).
fof(f230,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] :
( sP41(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP40(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP38(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP36(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP34(X11)
& sP33(X11)
& ~ p1(X11)
& r1(X0,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(X0,X12) )
| p1(X0) )
& ( sP31(X0)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(X0,X14) )
| p1(X0)
| p2(X0) )
& ( sP27(X0)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(X0,X16) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP23(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] :
( sP19(X20)
& sP18(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] :
( sP13(X24)
& sP12(X24)
& r1(X0,X24) )
| sP14(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) )
& ( sP2(X0)
| ! [X29] :
( ? [X30] :
( p5(X30)
& r1(X29,X30) )
| ~ r1(X0,X29) ) )
& ! [X31] :
( ? [X32] :
( p3(X32)
& ? [X33] :
( ~ p3(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p3(X31)
| ~ r1(X0,X31) )
& ? [X34] :
( ~ p3(X34)
& r1(X0,X34) )
& ( ( sP0(X0)
& ? [X35] :
( ~ p2(X35)
& r1(X0,X35) ) )
| ! [X36] :
( ~ p5(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(sK100,X1) )
& ( ? [X5] :
( sP41(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK100,X5) )
| ! [X7] : ~ r1(sK100,X7)
| p1(sK100) )
& ( sP40(sK100)
| ! [X8] : ~ r1(sK100,X8)
| p1(sK100)
| p2(sK100) )
& ( sP38(sK100)
| ! [X9] : ~ r1(sK100,X9)
| p1(sK100)
| p2(sK100)
| p3(sK100) )
& ( sP36(sK100)
| ! [X10] : ~ r1(sK100,X10)
| p1(sK100)
| p2(sK100)
| p3(sK100)
| p4(sK100) )
& ( ? [X11] :
( sP34(X11)
& sP33(X11)
& ~ p1(X11)
& r1(sK100,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(sK100,X12) )
| p1(sK100) )
& ( sP31(sK100)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(sK100,X14) )
| p1(sK100)
| p2(sK100) )
& ( sP27(sK100)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(sK100,X16) )
| p1(sK100)
| p2(sK100)
| p3(sK100) )
& ( sP23(sK100)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(sK100,X18) )
| p1(sK100)
| p2(sK100)
| p3(sK100)
| p4(sK100) )
& ( ? [X20] :
( sP19(X20)
& sP18(X20)
& ~ p1(X20)
& r1(sK100,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(sK100,X21) )
| p1(sK100) )
& ( ? [X24] :
( sP13(X24)
& sP12(X24)
& r1(sK100,X24) )
| sP14(sK100) )
& ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(sK100,X25) )
& ? [X28] :
( ~ p1(X28)
& r1(sK100,X28) )
& ( sP2(sK100)
| ! [X29] :
( ? [X30] :
( p5(X30)
& r1(X29,X30) )
| ~ r1(sK100,X29) ) )
& ! [X31] :
( ? [X32] :
( p3(X32)
& ? [X33] :
( ~ p3(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p3(X31)
| ~ r1(sK100,X31) )
& ? [X34] :
( ~ p3(X34)
& r1(sK100,X34) )
& ( ( sP0(sK100)
& ? [X35] :
( ~ p2(X35)
& r1(sK100,X35) ) )
| ! [X36] :
( ~ p5(X36)
| ~ r1(sK100,X36) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f231,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(sK101(X1),X3) )
& ~ p2(sK101(X1))
& r1(X1,sK101(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
( ? [X5] :
( sP41(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK100,X5) )
=> ( sP41(sK102)
& ? [X6] : r1(sK102,X6)
& ~ p1(sK102)
& r1(sK100,sK102) ) ),
introduced(choice_axiom,[]) ).
fof(f233,plain,
( ? [X6] : r1(sK102,X6)
=> r1(sK102,sK103) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
( ? [X11] :
( sP34(X11)
& sP33(X11)
& ~ p1(X11)
& r1(sK100,X11) )
=> ( sP34(sK104)
& sP33(sK104)
& ~ p1(sK104)
& r1(sK100,sK104) ) ),
introduced(choice_axiom,[]) ).
fof(f235,plain,
( ? [X20] :
( sP19(X20)
& sP18(X20)
& ~ p1(X20)
& r1(sK100,X20) )
=> ( sP19(sK105)
& sP18(sK105)
& ~ p1(sK105)
& r1(sK100,sK105) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
( ? [X24] :
( sP13(X24)
& sP12(X24)
& r1(sK100,X24) )
=> ( sP13(sK106)
& sP12(sK106)
& r1(sK100,sK106) ) ),
introduced(choice_axiom,[]) ).
fof(f237,plain,
! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
=> ( p1(sK107(X25))
& ? [X27] :
( ~ p1(X27)
& r1(sK107(X25),X27) )
& r1(X25,sK107(X25)) ) ),
introduced(choice_axiom,[]) ).
fof(f238,plain,
! [X25] :
( ? [X27] :
( ~ p1(X27)
& r1(sK107(X25),X27) )
=> ( ~ p1(sK108(X25))
& r1(sK107(X25),sK108(X25)) ) ),
introduced(choice_axiom,[]) ).
fof(f239,plain,
( ? [X28] :
( ~ p1(X28)
& r1(sK100,X28) )
=> ( ~ p1(sK109)
& r1(sK100,sK109) ) ),
introduced(choice_axiom,[]) ).
fof(f240,plain,
! [X29] :
( ? [X30] :
( p5(X30)
& r1(X29,X30) )
=> ( p5(sK110(X29))
& r1(X29,sK110(X29)) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
! [X31] :
( ? [X32] :
( p3(X32)
& ? [X33] :
( ~ p3(X33)
& r1(X32,X33) )
& r1(X31,X32) )
=> ( p3(sK111(X31))
& ? [X33] :
( ~ p3(X33)
& r1(sK111(X31),X33) )
& r1(X31,sK111(X31)) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
! [X31] :
( ? [X33] :
( ~ p3(X33)
& r1(sK111(X31),X33) )
=> ( ~ p3(sK112(X31))
& r1(sK111(X31),sK112(X31)) ) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
( ? [X34] :
( ~ p3(X34)
& r1(sK100,X34) )
=> ( ~ p3(sK113)
& r1(sK100,sK113) ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
( ? [X35] :
( ~ p2(X35)
& r1(sK100,X35) )
=> ( ~ p2(sK114)
& r1(sK100,sK114) ) ),
introduced(choice_axiom,[]) ).
fof(f229,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] :
( sP41(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP40(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP38(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP36(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP34(X11)
& sP33(X11)
& ~ p1(X11)
& r1(X0,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(X0,X12) )
| p1(X0) )
& ( sP31(X0)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(X0,X14) )
| p1(X0)
| p2(X0) )
& ( sP27(X0)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(X0,X16) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP23(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] :
( sP19(X20)
& sP18(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] :
( sP13(X24)
& sP12(X24)
& r1(X0,X24) )
| sP14(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) )
& ( sP2(X0)
| ! [X29] :
( ? [X30] :
( p5(X30)
& r1(X29,X30) )
| ~ r1(X0,X29) ) )
& ! [X31] :
( ? [X32] :
( p3(X32)
& ? [X33] :
( ~ p3(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p3(X31)
| ~ r1(X0,X31) )
& ? [X34] :
( ~ p3(X34)
& r1(X0,X34) )
& ( ( sP0(X0)
& ? [X35] :
( ~ p2(X35)
& r1(X0,X35) ) )
| ! [X36] :
( ~ p5(X36)
| ~ r1(X0,X36) ) ) ),
inference(rectify,[],[f51]) ).
fof(f51,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] :
( sP41(X5)
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( sP40(X0)
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( sP38(X0)
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP36(X0)
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( sP34(X33)
& sP33(X33)
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( sP31(X0)
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( sP27(X0)
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP23(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] :
( sP19(X77)
& sP18(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] :
( sP13(X92)
& sP12(X92)
& r1(X0,X92) )
| sP14(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) )
& ( sP2(X0)
| ! [X139] :
( ? [X140] :
( p5(X140)
& r1(X139,X140) )
| ~ r1(X0,X139) ) )
& ! [X141] :
( ? [X142] :
( p3(X142)
& ? [X143] :
( ~ p3(X143)
& r1(X142,X143) )
& r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
& ? [X144] :
( ~ p3(X144)
& r1(X0,X144) )
& ( ( sP0(X0)
& ? [X148] :
( ~ p2(X148)
& r1(X0,X148) ) )
| ! [X149] :
( ~ p5(X149)
| ~ r1(X0,X149) ) ) ),
inference(definition_folding,[],[f8,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f10,plain,
! [X0] :
( ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f11,plain,
! [X0] :
( ( sP1(X0)
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) ) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X0] :
( ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f13,plain,
! [X0] :
( ? [X122] :
( p2(X122)
& ? [X123] :
( ~ p2(X123)
& r1(X122,X123) )
& r1(X0,X122) )
| p2(X0)
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X92] :
( ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) )
| ~ sP5(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f15,plain,
! [X92] :
( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ~ sP6(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f16,plain,
! [X103] :
( ! [X109] :
( ! [X110] :
( ? [X111] :
( p2(X111)
& ? [X112] :
( ~ p2(X112)
& r1(X111,X112) )
& r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) )
| ~ sP7(X103) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f17,plain,
! [X103] :
( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103)
| ~ sP8(X103) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f18,plain,
! [X93] :
( ? [X99] :
( ? [X100] :
( ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X99,X100) )
& r1(X93,X99) )
| ~ sP9(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f19,plain,
! [X93] :
( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ~ sP10(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f20,plain,
! [X93] :
( ! [X103] :
( ( sP8(X103)
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| sP7(X103) ) )
| ~ r1(X93,X103) )
| ~ sP11(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f21,plain,
! [X92] :
( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| ( sP6(X92)
& sP5(X92) )
| ~ sP12(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f22,plain,
! [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| ( sP10(X93)
& sP9(X93) )
| sP11(X93)
| ~ r1(X92,X93) )
| ~ sP13(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f23,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| sP3(X0) ) )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f24,plain,
! [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
| ~ sP15(X86) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f25,plain,
! [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
| ~ sP16(X79) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f26,plain,
! [X78] :
( ? [X79] :
( sP16(X79)
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
| ~ sP17(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f27,plain,
! [X77] :
( ? [X86] :
( sP15(X86)
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
| ~ sP18(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f28,plain,
! [X77] :
( ! [X78] :
( ( sP17(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) )
| ~ sP19(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f29,plain,
! [X67] :
( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
| ~ sP20(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f30,plain,
! [X67] :
( ( sP20(X67)
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ~ sP21(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f31,plain,
! [X66] :
( ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
| ~ sP22(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f32,plain,
! [X0] :
( ? [X66] :
( ! [X67] :
( sP21(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) )
& sP22(X66)
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ~ sP23(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f33,plain,
! [X56] :
( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
| ~ sP24(X56) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f34,plain,
! [X55] :
( ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
| ~ sP25(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f35,plain,
! [X55] :
( ! [X56] :
( ( sP24(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) )
| ~ sP26(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f36,plain,
! [X0] :
( ? [X55] :
( sP26(X55)
& sP25(X55)
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ~ sP27(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f37,plain,
! [X45] :
( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
| ~ sP28(X45) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f38,plain,
! [X44] :
( ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
| ~ sP29(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f39,plain,
! [X44] :
( ! [X45] :
( ( sP28(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) )
| ~ sP30(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f40,plain,
! [X0] :
( ? [X44] :
( sP30(X44)
& sP29(X44)
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ~ sP31(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f41,plain,
! [X34] :
( ? [X35] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
| ~ sP32(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f42,plain,
! [X33] :
( ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
| ~ sP33(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f43,plain,
! [X33] :
( ! [X34] :
( ( sP32(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) )
| ~ sP34(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f44,plain,
! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ~ sP35(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f45,plain,
! [X0] :
( ? [X26] :
( ! [X27] :
( sP35(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) )
| ~ sP36(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f46,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) )
| ~ sP37(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f47,plain,
! [X0] :
( ? [X19] :
( sP37(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ~ sP38(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f48,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) )
| ~ sP39(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f49,plain,
! [X0] :
( ? [X12] :
( sP39(X12)
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ~ sP40(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f50,plain,
! [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ sP41(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f8,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] :
( p5(X140)
& r1(X139,X140) )
| ~ r1(X0,X139) ) )
& ! [X141] :
( ? [X142] :
( p3(X142)
& ? [X143] :
( ~ p3(X143)
& r1(X142,X143) )
& r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
& ? [X144] :
( ~ p3(X144)
& r1(X0,X144) )
& ( ( ! [X145] :
( ? [X146] :
( p2(X146)
& ? [X147] :
( ~ p2(X147)
& r1(X146,X147) )
& r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
& ? [X148] :
( ~ p2(X148)
& r1(X0,X148) ) )
| ! [X149] :
( ~ p5(X149)
| ~ r1(X0,X149) ) ) ),
inference(flattening,[],[f7]) ).
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] :
( p5(X140)
& r1(X139,X140) )
| ~ r1(X0,X139) ) )
& ! [X141] :
( ? [X142] :
( p3(X142)
& ? [X143] :
( ~ p3(X143)
& r1(X142,X143) )
& r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
& ? [X144] :
( ~ p3(X144)
& r1(X0,X144) )
& ( ( ! [X145] :
( ? [X146] :
( p2(X146)
& ? [X147] :
( ~ p2(X147)
& r1(X146,X147) )
& r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
& ? [X148] :
( ~ p2(X148)
& r1(X0,X148) ) )
| ! [X149] :
( ~ p5(X149)
| ~ r1(X0,X149) ) ) ),
inference(ennf_transformation,[],[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] :
( ~ p5(X140)
| ~ r1(X139,X140) )
| ~ r1(X0,X139) ) )
| ~ ! [X141] :
( ~ ! [X142] :
( ~ p3(X142)
| ! [X143] :
( p3(X143)
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
| ! [X144] :
( p3(X144)
| ~ r1(X0,X144) )
| ( ( ~ ! [X145] :
( ~ ! [X146] :
( ~ p2(X146)
| ! [X147] :
( p2(X147)
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
| ! [X148] :
( p2(X148)
| ~ r1(X0,X148) ) )
& ~ ! [X149] :
( ~ p5(X149)
| ~ r1(X0,X149) ) ) ),
inference(flattening,[],[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] :
( ~ p5(X140)
| ~ r1(X139,X140) )
| ~ r1(X0,X139) ) )
| ~ ! [X141] :
( ~ ! [X142] :
( ~ p3(X142)
| ! [X143] :
( p3(X143)
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
| ! [X144] :
( p3(X144)
| ~ r1(X0,X144) )
| ( ( ~ ! [X145] :
( ~ ! [X146] :
( ~ p2(X146)
| ! [X147] :
( p2(X147)
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
| ! [X148] :
( p2(X148)
| ~ r1(X0,X148) ) )
& ~ ! [X149] :
( ~ p5(X149)
| ~ r1(X0,X149) ) ) ),
inference(true_and_false_elimination,[],[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] :
( $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] :
( ~ p5(X140)
| ~ r1(X139,X140) )
| ~ r1(X0,X139) ) )
| ~ ! [X141] :
( ~ ! [X142] :
( ~ p3(X142)
| ! [X143] :
( p3(X143)
| ~ r1(X142,X143) )
| ~ r1(X141,X142) )
| p3(X141)
| ~ r1(X0,X141) )
| ! [X144] :
( p3(X144)
| ~ r1(X0,X144) )
| ( ( ~ ! [X145] :
( ~ ! [X146] :
( ~ p2(X146)
| ! [X147] :
( p2(X147)
| ~ r1(X146,X147) )
| ~ r1(X145,X146) )
| p2(X145)
| ~ r1(X0,X145) )
| ! [X148] :
( p2(X148)
| ~ r1(X0,X148) ) )
& ~ ! [X149] :
( ~ p5(X149)
| ~ r1(X0,X149) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,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] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ 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) )
| ( ( ~ ! [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] :
( ~ p5(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,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] :
( ~ p5(X0)
| ~ r1(X1,X0) )
| ~ 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) )
| ( ( ~ ! [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] :
( ~ p5(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f10603,plain,
( p2(sK101(sK114))
| ~ spl115_1416 ),
inference(avatar_component_clause,[],[f10601]) ).
fof(f10601,plain,
( spl115_1416
<=> p2(sK101(sK114)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1416])]) ).
fof(f15126,plain,
( ~ spl115_36
| ~ spl115_67
| ~ spl115_1560
| ~ spl115_1568 ),
inference(avatar_contradiction_clause,[],[f15125]) ).
fof(f15125,plain,
( $false
| ~ spl115_36
| ~ spl115_67
| ~ spl115_1560
| ~ spl115_1568 ),
inference(subsumption_resolution,[],[f15120,f647]) ).
fof(f15120,plain,
( ~ r1(sK100,sK114)
| ~ spl115_67
| ~ spl115_1560
| ~ spl115_1568 ),
inference(resolution,[],[f14441,f11614]) ).
fof(f11614,plain,
( r1(sK114,sK101(sK114))
| ~ spl115_1560 ),
inference(avatar_component_clause,[],[f11613]) ).
fof(f11613,plain,
( spl115_1560
<=> r1(sK114,sK101(sK114)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1560])]) ).
fof(f14441,plain,
( ! [X0] :
( ~ r1(X0,sK101(sK114))
| ~ r1(sK100,X0) )
| ~ spl115_67
| ~ spl115_1568 ),
inference(resolution,[],[f11664,f860]) ).
fof(f860,plain,
( sP3(sK100)
| ~ spl115_67 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f858,plain,
( spl115_67
<=> sP3(sK100) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_67])]) ).
fof(f11664,plain,
( ! [X0,X1] :
( ~ sP3(X1)
| ~ r1(X0,sK101(sK114))
| ~ r1(X1,X0) )
| ~ spl115_1568 ),
inference(avatar_component_clause,[],[f11663]) ).
fof(f11663,plain,
( spl115_1568
<=> ! [X0,X1] :
( ~ r1(X0,sK101(sK114))
| ~ sP3(X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1568])]) ).
fof(f13077,plain,
( spl115_1158
| spl115_1159
| ~ spl115_1113 ),
inference(avatar_split_clause,[],[f13075,f8124,f8448,f8445]) ).
fof(f8445,plain,
( spl115_1158
<=> ! [X1] :
( ~ r1(sK101(X1),sK93(sK101(sK95(sK100))))
| ~ r1(sK100,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1158])]) ).
fof(f8448,plain,
( spl115_1159
<=> ! [X0] :
( p2(X0)
| ~ r1(sK93(sK101(sK95(sK100))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1159])]) ).
fof(f8124,plain,
( spl115_1113
<=> p2(sK93(sK101(sK95(sK100)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1113])]) ).
fof(f13075,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK93(sK101(sK95(sK100))),X0)
| ~ r1(sK101(X1),sK93(sK101(sK95(sK100))))
| p2(X1)
| ~ r1(sK100,X1) )
| ~ spl115_1113 ),
inference(resolution,[],[f8126,f483]) ).
fof(f483,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK101(X1),X3)
| p2(X1)
| ~ r1(sK100,X1) ),
inference(cnf_transformation,[],[f245]) ).
fof(f8126,plain,
( p2(sK93(sK101(sK95(sK100))))
| ~ spl115_1113 ),
inference(avatar_component_clause,[],[f8124]) ).
fof(f11665,plain,
( spl115_1568
| spl115_1416
| ~ spl115_1557 ),
inference(avatar_split_clause,[],[f11659,f11598,f10601,f11663]) ).
fof(f11598,plain,
( spl115_1557
<=> p2(sK94(sK101(sK114))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1557])]) ).
fof(f11659,plain,
( ! [X0,X1] :
( p2(sK101(sK114))
| ~ r1(X0,sK101(sK114))
| ~ r1(X1,X0)
| ~ sP3(X1) )
| ~ spl115_1557 ),
inference(resolution,[],[f11600,f430]) ).
fof(f430,plain,
! [X2,X0,X1] :
( ~ p2(sK94(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK93(X2))
& ~ p2(sK94(X2))
& r1(sK93(X2),sK94(X2))
& r1(X2,sK93(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK93,sK94])],[f211,f213,f212]) ).
fof(f212,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK93(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK93(X2),X4) )
& r1(X2,sK93(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK93(X2),X4) )
=> ( ~ p2(sK94(X2))
& r1(sK93(X2),sK94(X2)) ) ),
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) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f12]) ).
fof(f11600,plain,
( p2(sK94(sK101(sK114)))
| ~ spl115_1557 ),
inference(avatar_component_clause,[],[f11598]) ).
fof(f11658,plain,
( spl115_35
| ~ spl115_36
| spl115_1560 ),
inference(avatar_contradiction_clause,[],[f11657]) ).
fof(f11657,plain,
( $false
| spl115_35
| ~ spl115_36
| spl115_1560 ),
inference(subsumption_resolution,[],[f11656,f647]) ).
fof(f11656,plain,
( ~ r1(sK100,sK114)
| spl115_35
| spl115_1560 ),
inference(subsumption_resolution,[],[f11655,f642]) ).
fof(f11655,plain,
( p2(sK114)
| ~ r1(sK100,sK114)
| spl115_1560 ),
inference(resolution,[],[f11615,f481]) ).
fof(f481,plain,
! [X1] :
( r1(X1,sK101(X1))
| p2(X1)
| ~ r1(sK100,X1) ),
inference(cnf_transformation,[],[f245]) ).
fof(f11615,plain,
( ~ r1(sK114,sK101(sK114))
| spl115_1560 ),
inference(avatar_component_clause,[],[f11613]) ).
fof(f11616,plain,
( ~ spl115_1560
| spl115_1416
| spl115_1557
| ~ spl115_36
| ~ spl115_67
| ~ spl115_1457 ),
inference(avatar_split_clause,[],[f11580,f10959,f858,f645,f11598,f10601,f11613]) ).
fof(f10959,plain,
( spl115_1457
<=> ! [X0] :
( p2(X0)
| ~ r1(sK93(sK101(sK114)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1457])]) ).
fof(f11580,plain,
( p2(sK94(sK101(sK114)))
| p2(sK101(sK114))
| ~ r1(sK114,sK101(sK114))
| ~ spl115_36
| ~ spl115_67
| ~ spl115_1457 ),
inference(resolution,[],[f10960,f10496]) ).
fof(f10496,plain,
( ! [X0] :
( r1(sK93(X0),sK94(X0))
| p2(X0)
| ~ r1(sK114,X0) )
| ~ spl115_36
| ~ spl115_67 ),
inference(resolution,[],[f10445,f647]) ).
fof(f10445,plain,
( ! [X0,X1] :
( ~ r1(sK100,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK93(X0),sK94(X0)) )
| ~ spl115_67 ),
inference(resolution,[],[f860,f429]) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK93(X2),sK94(X2)) ),
inference(cnf_transformation,[],[f214]) ).
fof(f10960,plain,
( ! [X0] :
( ~ r1(sK93(sK101(sK114)),X0)
| p2(X0) )
| ~ spl115_1457 ),
inference(avatar_component_clause,[],[f10959]) ).
fof(f11576,plain,
( spl115_35
| ~ spl115_36
| ~ spl115_1438
| ~ spl115_1456 ),
inference(avatar_contradiction_clause,[],[f11575]) ).
fof(f11575,plain,
( $false
| spl115_35
| ~ spl115_36
| ~ spl115_1438
| ~ spl115_1456 ),
inference(subsumption_resolution,[],[f11574,f642]) ).
fof(f11574,plain,
( p2(sK114)
| ~ spl115_36
| ~ spl115_1438
| ~ spl115_1456 ),
inference(subsumption_resolution,[],[f11573,f647]) ).
fof(f11573,plain,
( ~ r1(sK100,sK114)
| p2(sK114)
| ~ spl115_1438
| ~ spl115_1456 ),
inference(resolution,[],[f10957,f10793]) ).
fof(f10793,plain,
( r1(sK101(sK114),sK93(sK101(sK114)))
| ~ spl115_1438 ),
inference(avatar_component_clause,[],[f10791]) ).
fof(f10791,plain,
( spl115_1438
<=> r1(sK101(sK114),sK93(sK101(sK114))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1438])]) ).
fof(f10957,plain,
( ! [X1] :
( ~ r1(sK101(X1),sK93(sK101(sK114)))
| ~ r1(sK100,X1)
| p2(X1) )
| ~ spl115_1456 ),
inference(avatar_component_clause,[],[f10956]) ).
fof(f10956,plain,
( spl115_1456
<=> ! [X1] :
( ~ r1(sK101(X1),sK93(sK101(sK114)))
| ~ r1(sK100,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1456])]) ).
fof(f11237,plain,
( ~ spl115_34
| ~ spl115_66
| spl115_204
| ~ spl115_1320 ),
inference(avatar_contradiction_clause,[],[f11236]) ).
fof(f11236,plain,
( $false
| ~ spl115_34
| ~ spl115_66
| spl115_204
| ~ spl115_1320 ),
inference(subsumption_resolution,[],[f11235,f856]) ).
fof(f11235,plain,
( ~ r1(sK100,sK77(sK100))
| ~ spl115_34
| ~ spl115_66
| spl115_204
| ~ spl115_1320 ),
inference(resolution,[],[f10148,f637]) ).
fof(f10148,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK77(sK100)) )
| ~ spl115_34
| ~ spl115_66
| spl115_204
| ~ spl115_1320 ),
inference(subsumption_resolution,[],[f10145,f1753]) ).
fof(f10145,plain,
( ! [X0] :
( p2(sK77(sK100))
| ~ r1(X0,sK77(sK100))
| ~ sP0(X0) )
| ~ spl115_34
| ~ spl115_66
| spl115_204
| ~ spl115_1320 ),
inference(resolution,[],[f10096,f441]) ).
fof(f441,plain,
! [X0,X1] :
( ~ p2(sK99(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f10096,plain,
( p2(sK99(sK77(sK100)))
| ~ spl115_34
| ~ spl115_66
| spl115_204
| ~ spl115_1320 ),
inference(subsumption_resolution,[],[f10095,f1753]) ).
fof(f10095,plain,
( p2(sK99(sK77(sK100)))
| p2(sK77(sK100))
| ~ spl115_34
| ~ spl115_66
| ~ spl115_1320 ),
inference(subsumption_resolution,[],[f10083,f856]) ).
fof(f10083,plain,
( p2(sK99(sK77(sK100)))
| ~ r1(sK100,sK77(sK100))
| p2(sK77(sK100))
| ~ spl115_34
| ~ spl115_1320 ),
inference(resolution,[],[f9843,f9601]) ).
fof(f9601,plain,
( ! [X0] :
( r1(sK98(X0),sK99(X0))
| ~ r1(sK100,X0)
| p2(X0) )
| ~ spl115_34 ),
inference(resolution,[],[f637,f440]) ).
fof(f440,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK98(X1),sK99(X1)) ),
inference(cnf_transformation,[],[f228]) ).
fof(f9843,plain,
( ! [X0] :
( ~ r1(sK98(sK77(sK100)),X0)
| p2(X0) )
| ~ spl115_1320 ),
inference(avatar_component_clause,[],[f9842]) ).
fof(f10961,plain,
( spl115_1456
| spl115_1457
| ~ spl115_1415 ),
inference(avatar_split_clause,[],[f10953,f10597,f10959,f10956]) ).
fof(f10597,plain,
( spl115_1415
<=> p2(sK93(sK101(sK114))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1415])]) ).
fof(f10953,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK93(sK101(sK114)),X0)
| ~ r1(sK101(X1),sK93(sK101(sK114)))
| p2(X1)
| ~ r1(sK100,X1) )
| ~ spl115_1415 ),
inference(resolution,[],[f10599,f483]) ).
fof(f10599,plain,
( p2(sK93(sK101(sK114)))
| ~ spl115_1415 ),
inference(avatar_component_clause,[],[f10597]) ).
fof(f10794,plain,
( spl115_1438
| spl115_1416
| spl115_35
| ~ spl115_36
| ~ spl115_67 ),
inference(avatar_split_clause,[],[f10789,f858,f645,f640,f10601,f10791]) ).
fof(f10789,plain,
( p2(sK101(sK114))
| r1(sK101(sK114),sK93(sK101(sK114)))
| spl115_35
| ~ spl115_36
| ~ spl115_67 ),
inference(subsumption_resolution,[],[f10788,f647]) ).
fof(f10788,plain,
( p2(sK101(sK114))
| r1(sK101(sK114),sK93(sK101(sK114)))
| ~ r1(sK100,sK114)
| spl115_35
| ~ spl115_36
| ~ spl115_67 ),
inference(subsumption_resolution,[],[f10783,f642]) ).
fof(f10783,plain,
( p2(sK101(sK114))
| r1(sK101(sK114),sK93(sK101(sK114)))
| p2(sK114)
| ~ r1(sK100,sK114)
| ~ spl115_36
| ~ spl115_67 ),
inference(resolution,[],[f10473,f481]) ).
fof(f10473,plain,
( ! [X0] :
( ~ r1(sK114,X0)
| p2(X0)
| r1(X0,sK93(X0)) )
| ~ spl115_36
| ~ spl115_67 ),
inference(resolution,[],[f10446,f647]) ).
fof(f10446,plain,
( ! [X0,X1] :
( ~ r1(sK100,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(X0,sK93(X0)) )
| ~ spl115_67 ),
inference(resolution,[],[f860,f428]) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK93(X2)) ),
inference(cnf_transformation,[],[f214]) ).
fof(f10604,plain,
( spl115_1415
| spl115_1416
| spl115_35
| ~ spl115_36
| ~ spl115_67 ),
inference(avatar_split_clause,[],[f10595,f858,f645,f640,f10601,f10597]) ).
fof(f10595,plain,
( p2(sK101(sK114))
| p2(sK93(sK101(sK114)))
| spl115_35
| ~ spl115_36
| ~ spl115_67 ),
inference(subsumption_resolution,[],[f10594,f647]) ).
fof(f10594,plain,
( p2(sK101(sK114))
| p2(sK93(sK101(sK114)))
| ~ r1(sK100,sK114)
| spl115_35
| ~ spl115_36
| ~ spl115_67 ),
inference(subsumption_resolution,[],[f10529,f642]) ).
fof(f10529,plain,
( p2(sK101(sK114))
| p2(sK93(sK101(sK114)))
| p2(sK114)
| ~ r1(sK100,sK114)
| ~ spl115_36
| ~ spl115_67 ),
inference(resolution,[],[f10454,f481]) ).
fof(f10454,plain,
( ! [X0] :
( ~ r1(sK114,X0)
| p2(X0)
| p2(sK93(X0)) )
| ~ spl115_36
| ~ spl115_67 ),
inference(resolution,[],[f10447,f647]) ).
fof(f10447,plain,
( ! [X0,X1] :
( ~ r1(sK100,X1)
| ~ r1(X1,X0)
| p2(X0)
| p2(sK93(X0)) )
| ~ spl115_67 ),
inference(resolution,[],[f860,f431]) ).
fof(f431,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK93(X2)) ),
inference(cnf_transformation,[],[f214]) ).
fof(f10444,plain,
( spl115_67
| spl115_214
| ~ spl115_26 ),
inference(avatar_split_clause,[],[f10441,f601,f1810,f858]) ).
fof(f601,plain,
( spl115_26
<=> sP14(sK100) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_26])]) ).
fof(f10441,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK77(sK100),X1)
| sP3(sK100)
| ~ p2(X1) )
| ~ spl115_26 ),
inference(resolution,[],[f603,f386]) ).
fof(f386,plain,
! [X2,X3,X0] :
( ~ sP14(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK77(X0),X2)
| sP3(X0)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( sP4(X0)
& ( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK77(X0),X2) )
& ~ p2(sK77(X0))
& r1(X0,sK77(X0)) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK77])],[f164,f165]) ).
fof(f165,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(sK77(X0),X2) )
& ~ p2(sK77(X0))
& r1(X0,sK77(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(nnf_transformation,[],[f23]) ).
fof(f603,plain,
( sP14(sK100)
| ~ spl115_26 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f10410,plain,
( ~ spl115_29
| ~ spl115_34
| spl115_68
| ~ spl115_1303 ),
inference(avatar_contradiction_clause,[],[f10409]) ).
fof(f10409,plain,
( $false
| ~ spl115_29
| ~ spl115_34
| spl115_68
| ~ spl115_1303 ),
inference(subsumption_resolution,[],[f10408,f617]) ).
fof(f617,plain,
( r1(sK100,sK106)
| ~ spl115_29 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f615,plain,
( spl115_29
<=> r1(sK100,sK106) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_29])]) ).
fof(f10408,plain,
( ~ r1(sK100,sK106)
| ~ spl115_29
| ~ spl115_34
| spl115_68
| ~ spl115_1303 ),
inference(resolution,[],[f10070,f637]) ).
fof(f10070,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK106) )
| ~ spl115_29
| ~ spl115_34
| spl115_68
| ~ spl115_1303 ),
inference(subsumption_resolution,[],[f10067,f867]) ).
fof(f867,plain,
( ~ p2(sK106)
| spl115_68 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f865,plain,
( spl115_68
<=> p2(sK106) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_68])]) ).
fof(f10067,plain,
( ! [X0] :
( p2(sK106)
| ~ r1(X0,sK106)
| ~ sP0(X0) )
| ~ spl115_29
| ~ spl115_34
| spl115_68
| ~ spl115_1303 ),
inference(resolution,[],[f10033,f441]) ).
fof(f10033,plain,
( p2(sK99(sK106))
| ~ spl115_29
| ~ spl115_34
| spl115_68
| ~ spl115_1303 ),
inference(subsumption_resolution,[],[f10032,f867]) ).
fof(f10032,plain,
( p2(sK99(sK106))
| p2(sK106)
| ~ spl115_29
| ~ spl115_34
| ~ spl115_1303 ),
inference(subsumption_resolution,[],[f10020,f617]) ).
fof(f10020,plain,
( p2(sK99(sK106))
| ~ r1(sK100,sK106)
| p2(sK106)
| ~ spl115_34
| ~ spl115_1303 ),
inference(resolution,[],[f9680,f9601]) ).
fof(f9680,plain,
( ! [X0] :
( ~ r1(sK98(sK106),X0)
| p2(X0) )
| ~ spl115_1303 ),
inference(avatar_component_clause,[],[f9679]) ).
fof(f9679,plain,
( spl115_1303
<=> ! [X0] :
( p2(X0)
| ~ r1(sK98(sK106),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1303])]) ).
fof(f9850,plain,
( spl115_1312
| ~ spl115_29
| ~ spl115_34
| spl115_68 ),
inference(avatar_split_clause,[],[f9702,f865,f635,f615,f9794]) ).
fof(f9794,plain,
( spl115_1312
<=> r1(sK106,sK98(sK106)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1312])]) ).
fof(f9702,plain,
( r1(sK106,sK98(sK106))
| ~ spl115_29
| ~ spl115_34
| spl115_68 ),
inference(subsumption_resolution,[],[f9684,f867]) ).
fof(f9684,plain,
( p2(sK106)
| r1(sK106,sK98(sK106))
| ~ spl115_29
| ~ spl115_34 ),
inference(resolution,[],[f9602,f617]) ).
fof(f9797,plain,
( ~ spl115_1312
| spl115_1303
| ~ spl115_29
| ~ spl115_34
| spl115_68
| ~ spl115_125 ),
inference(avatar_split_clause,[],[f9742,f1253,f865,f635,f615,f9679,f9794]) ).
fof(f1253,plain,
( spl115_125
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK106,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_125])]) ).
fof(f9742,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK106,sK98(sK106))
| ~ r1(sK98(sK106),X0) )
| ~ spl115_29
| ~ spl115_34
| spl115_68
| ~ spl115_125 ),
inference(resolution,[],[f1254,f9671]) ).
fof(f9671,plain,
( p2(sK98(sK106))
| ~ spl115_29
| ~ spl115_34
| spl115_68 ),
inference(subsumption_resolution,[],[f9651,f867]) ).
fof(f9651,plain,
( p2(sK106)
| p2(sK98(sK106))
| ~ spl115_29
| ~ spl115_34 ),
inference(resolution,[],[f9603,f617]) ).
fof(f1254,plain,
( ! [X0,X1] :
( ~ p2(X1)
| p2(X0)
| ~ r1(sK106,X1)
| ~ r1(X1,X0) )
| ~ spl115_125 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f9546,plain,
( spl115_423
| ~ spl115_27
| ~ spl115_69
| ~ spl115_70
| ~ spl115_291
| spl115_292
| spl115_400
| spl115_401 ),
inference(avatar_split_clause,[],[f9545,f3142,f3138,f2309,f2305,f874,f869,f605,f3274]) ).
fof(f3274,plain,
( spl115_423
<=> ! [X0] :
( p2(X0)
| ~ r1(sK87(sK89(sK106)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_423])]) ).
fof(f605,plain,
( spl115_27
<=> sP13(sK106) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_27])]) ).
fof(f869,plain,
( spl115_69
<=> sP6(sK106) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_69])]) ).
fof(f874,plain,
( spl115_70
<=> sP5(sK106) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_70])]) ).
fof(f2305,plain,
( spl115_291
<=> p2(sK87(sK89(sK106))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_291])]) ).
fof(f2309,plain,
( spl115_292
<=> p2(sK89(sK106)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_292])]) ).
fof(f3138,plain,
( spl115_400
<=> sP10(sK89(sK106)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_400])]) ).
fof(f3142,plain,
( spl115_401
<=> sP11(sK89(sK106)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_401])]) ).
fof(f9545,plain,
( ! [X0] :
( ~ r1(sK87(sK89(sK106)),X0)
| p2(X0) )
| ~ spl115_27
| ~ spl115_69
| ~ spl115_70
| ~ spl115_291
| spl115_292
| spl115_400
| spl115_401 ),
inference(subsumption_resolution,[],[f9421,f2307]) ).
fof(f2307,plain,
( p2(sK87(sK89(sK106)))
| ~ spl115_291 ),
inference(avatar_component_clause,[],[f2305]) ).
fof(f9421,plain,
( ! [X0] :
( ~ r1(sK87(sK89(sK106)),X0)
| p2(X0)
| ~ p2(sK87(sK89(sK106))) )
| ~ spl115_27
| ~ spl115_69
| ~ spl115_70
| spl115_292
| spl115_400
| spl115_401 ),
inference(resolution,[],[f9217,f9327]) ).
fof(f9327,plain,
( r1(sK89(sK106),sK87(sK89(sK106)))
| ~ spl115_69
| ~ spl115_70
| spl115_292 ),
inference(subsumption_resolution,[],[f9312,f2310]) ).
fof(f2310,plain,
( ~ p2(sK89(sK106))
| spl115_292 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f9312,plain,
( p2(sK89(sK106))
| r1(sK89(sK106),sK87(sK89(sK106)))
| ~ spl115_69
| ~ spl115_70 ),
inference(resolution,[],[f3068,f1743]) ).
fof(f1743,plain,
( r1(sK106,sK89(sK106))
| ~ spl115_70 ),
inference(resolution,[],[f876,f420]) ).
fof(f420,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK89(X0)) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK90(X0),X3) )
& ~ p2(sK90(X0))
& r1(sK89(X0),sK90(X0))
& r1(X0,sK89(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK89,sK90])],[f201,f203,f202]) ).
fof(f202,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(sK89(X0),X2) )
& r1(X0,sK89(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f203,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK89(X0),X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK90(X0),X3) )
& ~ p2(sK90(X0))
& r1(sK89(X0),sK90(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f201,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f200]) ).
fof(f200,plain,
! [X92] :
( ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) )
| ~ sP5(X92) ),
inference(nnf_transformation,[],[f14]) ).
fof(f876,plain,
( sP5(sK106)
| ~ spl115_70 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f3068,plain,
( ! [X0] :
( ~ r1(sK106,X0)
| p2(X0)
| r1(X0,sK87(X0)) )
| ~ spl115_69 ),
inference(resolution,[],[f871,f416]) ).
fof(f416,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK87(X1)) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( p2(sK87(X1))
& ~ p2(sK88(X1))
& r1(sK87(X1),sK88(X1))
& r1(X1,sK87(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK87,sK88])],[f196,f198,f197]) ).
fof(f197,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK87(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK87(X1),X3) )
& r1(X1,sK87(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK87(X1),X3) )
=> ( ~ p2(sK88(X1))
& r1(sK87(X1),sK88(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f195]) ).
fof(f195,plain,
! [X92] :
( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ~ sP6(X92) ),
inference(nnf_transformation,[],[f15]) ).
fof(f871,plain,
( sP6(sK106)
| ~ spl115_69 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f9217,plain,
( ! [X0,X1] :
( ~ r1(sK89(sK106),X0)
| ~ r1(X0,X1)
| p2(X1)
| ~ p2(X0) )
| ~ spl115_27
| ~ spl115_70
| spl115_400
| spl115_401 ),
inference(subsumption_resolution,[],[f9216,f3143]) ).
fof(f3143,plain,
( ~ sP11(sK89(sK106))
| spl115_401 ),
inference(avatar_component_clause,[],[f3142]) ).
fof(f9216,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK89(sK106),X0)
| sP11(sK89(sK106))
| p2(X1)
| ~ p2(X0) )
| ~ spl115_27
| ~ spl115_70
| spl115_400 ),
inference(subsumption_resolution,[],[f9201,f3139]) ).
fof(f3139,plain,
( ~ sP10(sK89(sK106))
| spl115_400 ),
inference(avatar_component_clause,[],[f3138]) ).
fof(f9201,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK89(sK106),X0)
| sP10(sK89(sK106))
| sP11(sK89(sK106))
| p2(X1)
| ~ p2(X0) )
| ~ spl115_27
| ~ spl115_70 ),
inference(resolution,[],[f9167,f1743]) ).
fof(f9167,plain,
( ! [X2,X0,X1] :
( ~ r1(sK106,X2)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| sP10(X2)
| sP11(X2)
| p2(X0)
| ~ p2(X1) )
| ~ spl115_27 ),
inference(resolution,[],[f607,f391]) ).
fof(f391,plain,
! [X2,X3,X0,X1] :
( ~ sP13(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| sP10(X1)
| sP11(X1)
| ~ r1(X0,X1)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ( sP10(X1)
& sP9(X1) )
| sP11(X1)
| ~ r1(X0,X1) )
| ~ sP13(X0) ),
inference(rectify,[],[f167]) ).
fof(f167,plain,
! [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| ( sP10(X93)
& sP9(X93) )
| sP11(X93)
| ~ r1(X92,X93) )
| ~ sP13(X92) ),
inference(nnf_transformation,[],[f22]) ).
fof(f607,plain,
( sP13(sK106)
| ~ spl115_27 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f9544,plain,
( ~ spl115_69
| ~ spl115_70
| spl115_292
| ~ spl115_423 ),
inference(avatar_contradiction_clause,[],[f9543]) ).
fof(f9543,plain,
( $false
| ~ spl115_69
| ~ spl115_70
| spl115_292
| ~ spl115_423 ),
inference(subsumption_resolution,[],[f9542,f1743]) ).
fof(f9542,plain,
( ~ r1(sK106,sK89(sK106))
| ~ spl115_69
| ~ spl115_70
| spl115_292
| ~ spl115_423 ),
inference(resolution,[],[f9338,f871]) ).
fof(f9338,plain,
( ! [X0] :
( ~ sP6(X0)
| ~ r1(X0,sK89(sK106)) )
| ~ spl115_69
| ~ spl115_70
| spl115_292
| ~ spl115_423 ),
inference(subsumption_resolution,[],[f9335,f2310]) ).
fof(f9335,plain,
( ! [X0] :
( p2(sK89(sK106))
| ~ r1(X0,sK89(sK106))
| ~ sP6(X0) )
| ~ spl115_69
| ~ spl115_70
| spl115_292
| ~ spl115_423 ),
inference(resolution,[],[f9334,f418]) ).
fof(f418,plain,
! [X0,X1] :
( ~ p2(sK88(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f9334,plain,
( p2(sK88(sK89(sK106)))
| ~ spl115_69
| ~ spl115_70
| spl115_292
| ~ spl115_423 ),
inference(subsumption_resolution,[],[f9333,f2310]) ).
fof(f9333,plain,
( p2(sK89(sK106))
| p2(sK88(sK89(sK106)))
| ~ spl115_69
| ~ spl115_70
| ~ spl115_423 ),
inference(subsumption_resolution,[],[f9332,f1743]) ).
fof(f9332,plain,
( ~ r1(sK106,sK89(sK106))
| p2(sK89(sK106))
| p2(sK88(sK89(sK106)))
| ~ spl115_69
| ~ spl115_423 ),
inference(resolution,[],[f3067,f3275]) ).
fof(f3275,plain,
( ! [X0] :
( ~ r1(sK87(sK89(sK106)),X0)
| p2(X0) )
| ~ spl115_423 ),
inference(avatar_component_clause,[],[f3274]) ).
fof(f3067,plain,
( ! [X0] :
( r1(sK87(X0),sK88(X0))
| ~ r1(sK106,X0)
| p2(X0) )
| ~ spl115_69 ),
inference(resolution,[],[f871,f417]) ).
fof(f417,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK87(X1),sK88(X1)) ),
inference(cnf_transformation,[],[f199]) ).
fof(f9136,plain,
( ~ spl115_26
| spl115_67
| ~ spl115_204 ),
inference(avatar_contradiction_clause,[],[f9135]) ).
fof(f9135,plain,
( $false
| ~ spl115_26
| spl115_67
| ~ spl115_204 ),
inference(subsumption_resolution,[],[f9134,f603]) ).
fof(f9134,plain,
( ~ sP14(sK100)
| spl115_67
| ~ spl115_204 ),
inference(subsumption_resolution,[],[f9131,f859]) ).
fof(f859,plain,
( ~ sP3(sK100)
| spl115_67 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f9131,plain,
( sP3(sK100)
| ~ sP14(sK100)
| ~ spl115_204 ),
inference(resolution,[],[f1754,f385]) ).
fof(f385,plain,
! [X0] :
( ~ p2(sK77(X0))
| sP3(X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1754,plain,
( p2(sK77(sK100))
| ~ spl115_204 ),
inference(avatar_component_clause,[],[f1752]) ).
fof(f9130,plain,
( ~ spl115_31
| ~ spl115_66
| spl115_204
| ~ spl115_209 ),
inference(avatar_contradiction_clause,[],[f9129]) ).
fof(f9129,plain,
( $false
| ~ spl115_31
| ~ spl115_66
| spl115_204
| ~ spl115_209 ),
inference(subsumption_resolution,[],[f9128,f856]) ).
fof(f9128,plain,
( ~ r1(sK100,sK77(sK100))
| ~ spl115_31
| ~ spl115_66
| spl115_204
| ~ spl115_209 ),
inference(resolution,[],[f9115,f1011]) ).
fof(f1011,plain,
( sP1(sK100)
| ~ spl115_31 ),
inference(resolution,[],[f625,f434]) ).
fof(f434,plain,
! [X0] :
( ~ sP2(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ( sP1(X0)
& ~ p2(sK95(X0))
& r1(X0,sK95(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK95])],[f216,f217]) ).
fof(f217,plain,
! [X0] :
( ? [X1] :
( ~ p2(X1)
& r1(X0,X1) )
=> ( ~ p2(sK95(X0))
& r1(X0,sK95(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
! [X0] :
( ( sP1(X0)
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ( sP1(X0)
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f625,plain,
( sP2(sK100)
| ~ spl115_31 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f623,plain,
( spl115_31
<=> sP2(sK100) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_31])]) ).
fof(f9115,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ r1(X0,sK77(sK100)) )
| ~ spl115_31
| ~ spl115_66
| spl115_204
| ~ spl115_209 ),
inference(subsumption_resolution,[],[f9112,f1753]) ).
fof(f9112,plain,
( ! [X0] :
( p2(sK77(sK100))
| ~ r1(X0,sK77(sK100))
| ~ sP1(X0) )
| ~ spl115_31
| ~ spl115_66
| spl115_204
| ~ spl115_209 ),
inference(resolution,[],[f9078,f437]) ).
fof(f437,plain,
! [X0,X1] :
( ~ p2(sK97(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ( p2(sK96(X1))
& ~ p2(sK97(X1))
& r1(sK96(X1),sK97(X1))
& r1(X1,sK96(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK96,sK97])],[f220,f222,f221]) ).
fof(f221,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK96(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK96(X1),X3) )
& r1(X1,sK96(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f222,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK96(X1),X3) )
=> ( ~ p2(sK97(X1))
& r1(sK96(X1),sK97(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f10]) ).
fof(f9078,plain,
( p2(sK97(sK77(sK100)))
| ~ spl115_31
| ~ spl115_66
| spl115_204
| ~ spl115_209 ),
inference(subsumption_resolution,[],[f9077,f1753]) ).
fof(f9077,plain,
( p2(sK97(sK77(sK100)))
| p2(sK77(sK100))
| ~ spl115_31
| ~ spl115_66
| ~ spl115_209 ),
inference(subsumption_resolution,[],[f9064,f856]) ).
fof(f9064,plain,
( p2(sK97(sK77(sK100)))
| ~ r1(sK100,sK77(sK100))
| p2(sK77(sK100))
| ~ spl115_31
| ~ spl115_209 ),
inference(resolution,[],[f1787,f1205]) ).
fof(f1205,plain,
( ! [X0] :
( r1(sK96(X0),sK97(X0))
| ~ r1(sK100,X0)
| p2(X0) )
| ~ spl115_31 ),
inference(resolution,[],[f436,f1011]) ).
fof(f436,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK96(X1),sK97(X1)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1787,plain,
( ! [X0] :
( ~ r1(sK96(sK77(sK100)),X0)
| p2(X0) )
| ~ spl115_209 ),
inference(avatar_component_clause,[],[f1786]) ).
fof(f1786,plain,
( spl115_209
<=> ! [X0] :
( p2(X0)
| ~ r1(sK96(sK77(sK100)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_209])]) ).
fof(f9036,plain,
( spl115_204
| spl115_209
| ~ spl115_31
| ~ spl115_66
| ~ spl115_207
| ~ spl115_214 ),
inference(avatar_split_clause,[],[f9035,f1810,f1764,f854,f623,f1786,f1752]) ).
fof(f1764,plain,
( spl115_207
<=> p2(sK96(sK77(sK100))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_207])]) ).
fof(f9035,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK96(sK77(sK100)),X0)
| p2(sK77(sK100)) )
| ~ spl115_31
| ~ spl115_66
| ~ spl115_207
| ~ spl115_214 ),
inference(subsumption_resolution,[],[f9034,f856]) ).
fof(f9034,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK96(sK77(sK100)),X0)
| ~ r1(sK100,sK77(sK100))
| p2(sK77(sK100)) )
| ~ spl115_31
| ~ spl115_207
| ~ spl115_214 ),
inference(subsumption_resolution,[],[f9025,f1766]) ).
fof(f1766,plain,
( p2(sK96(sK77(sK100)))
| ~ spl115_207 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f9025,plain,
( ! [X0] :
( ~ p2(sK96(sK77(sK100)))
| p2(X0)
| ~ r1(sK96(sK77(sK100)),X0)
| ~ r1(sK100,sK77(sK100))
| p2(sK77(sK100)) )
| ~ spl115_31
| ~ spl115_214 ),
inference(resolution,[],[f1811,f1056]) ).
fof(f1056,plain,
( ! [X0] :
( r1(X0,sK96(X0))
| ~ r1(sK100,X0)
| p2(X0) )
| ~ spl115_31 ),
inference(resolution,[],[f435,f1011]) ).
fof(f435,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK96(X1)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f9003,plain,
( spl115_66
| spl115_67
| ~ spl115_26 ),
inference(avatar_split_clause,[],[f7935,f601,f858,f854]) ).
fof(f7935,plain,
( sP3(sK100)
| r1(sK100,sK77(sK100))
| ~ spl115_26 ),
inference(resolution,[],[f603,f384]) ).
fof(f384,plain,
! [X0] :
( ~ sP14(X0)
| sP3(X0)
| r1(X0,sK77(X0)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f9002,plain,
( ~ spl115_67
| ~ spl115_475
| spl115_1114
| ~ spl115_1198
| ~ spl115_1199 ),
inference(avatar_contradiction_clause,[],[f9001]) ).
fof(f9001,plain,
( $false
| ~ spl115_67
| ~ spl115_475
| spl115_1114
| ~ spl115_1198
| ~ spl115_1199 ),
inference(subsumption_resolution,[],[f8996,f3614]) ).
fof(f3614,plain,
( r1(sK100,sK95(sK100))
| ~ spl115_475 ),
inference(avatar_component_clause,[],[f3613]) ).
fof(f3613,plain,
( spl115_475
<=> r1(sK100,sK95(sK100)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_475])]) ).
fof(f8996,plain,
( ~ r1(sK100,sK95(sK100))
| ~ spl115_67
| spl115_1114
| ~ spl115_1198
| ~ spl115_1199 ),
inference(resolution,[],[f8845,f8730]) ).
fof(f8730,plain,
( r1(sK95(sK100),sK101(sK95(sK100)))
| ~ spl115_1199 ),
inference(avatar_component_clause,[],[f8729]) ).
fof(f8729,plain,
( spl115_1199
<=> r1(sK95(sK100),sK101(sK95(sK100))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1199])]) ).
fof(f8845,plain,
( ! [X0] :
( ~ r1(X0,sK101(sK95(sK100)))
| ~ r1(sK100,X0) )
| ~ spl115_67
| spl115_1114
| ~ spl115_1198 ),
inference(resolution,[],[f8785,f860]) ).
fof(f8785,plain,
( ! [X0,X1] :
( ~ sP3(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK101(sK95(sK100))) )
| spl115_1114
| ~ spl115_1198 ),
inference(subsumption_resolution,[],[f8782,f8129]) ).
fof(f8129,plain,
( ~ p2(sK101(sK95(sK100)))
| spl115_1114 ),
inference(avatar_component_clause,[],[f8128]) ).
fof(f8128,plain,
( spl115_1114
<=> p2(sK101(sK95(sK100))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1114])]) ).
fof(f8782,plain,
( ! [X0,X1] :
( p2(sK101(sK95(sK100)))
| ~ r1(X0,sK101(sK95(sK100)))
| ~ r1(X1,X0)
| ~ sP3(X1) )
| ~ spl115_1198 ),
inference(resolution,[],[f8725,f430]) ).
fof(f8725,plain,
( p2(sK94(sK101(sK95(sK100))))
| ~ spl115_1198 ),
inference(avatar_component_clause,[],[f8723]) ).
fof(f8723,plain,
( spl115_1198
<=> p2(sK94(sK101(sK95(sK100)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1198])]) ).
fof(f8781,plain,
( spl115_85
| ~ spl115_475
| spl115_1199 ),
inference(avatar_contradiction_clause,[],[f8780]) ).
fof(f8780,plain,
( $false
| spl115_85
| ~ spl115_475
| spl115_1199 ),
inference(subsumption_resolution,[],[f8779,f3614]) ).
fof(f8779,plain,
( ~ r1(sK100,sK95(sK100))
| spl115_85
| spl115_1199 ),
inference(subsumption_resolution,[],[f8778,f980]) ).
fof(f980,plain,
( ~ p2(sK95(sK100))
| spl115_85 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f979,plain,
( spl115_85
<=> p2(sK95(sK100)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_85])]) ).
fof(f8778,plain,
( p2(sK95(sK100))
| ~ r1(sK100,sK95(sK100))
| spl115_1199 ),
inference(resolution,[],[f8731,f481]) ).
fof(f8731,plain,
( ~ r1(sK95(sK100),sK101(sK95(sK100)))
| spl115_1199 ),
inference(avatar_component_clause,[],[f8729]) ).
fof(f8732,plain,
( ~ spl115_1199
| spl115_1198
| ~ spl115_31
| ~ spl115_67
| spl115_1114
| ~ spl115_1159 ),
inference(avatar_split_clause,[],[f8727,f8448,f8128,f858,f623,f8723,f8729]) ).
fof(f8727,plain,
( p2(sK94(sK101(sK95(sK100))))
| ~ r1(sK95(sK100),sK101(sK95(sK100)))
| ~ spl115_31
| ~ spl115_67
| spl115_1114
| ~ spl115_1159 ),
inference(subsumption_resolution,[],[f8702,f8129]) ).
fof(f8702,plain,
( p2(sK94(sK101(sK95(sK100))))
| p2(sK101(sK95(sK100)))
| ~ r1(sK95(sK100),sK101(sK95(sK100)))
| ~ spl115_31
| ~ spl115_67
| ~ spl115_1159 ),
inference(resolution,[],[f8449,f8001]) ).
fof(f8001,plain,
( ! [X0] :
( r1(sK93(X0),sK94(X0))
| p2(X0)
| ~ r1(sK95(sK100),X0) )
| ~ spl115_31
| ~ spl115_67 ),
inference(subsumption_resolution,[],[f7995,f625]) ).
fof(f7995,plain,
( ! [X0] :
( ~ r1(sK95(sK100),X0)
| p2(X0)
| r1(sK93(X0),sK94(X0))
| ~ sP2(sK100) )
| ~ spl115_67 ),
inference(resolution,[],[f7940,f432]) ).
fof(f432,plain,
! [X0] :
( r1(X0,sK95(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f7940,plain,
( ! [X0,X1] :
( ~ r1(sK100,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK93(X0),sK94(X0)) )
| ~ spl115_67 ),
inference(resolution,[],[f860,f429]) ).
fof(f8449,plain,
( ! [X0] :
( ~ r1(sK93(sK101(sK95(sK100))),X0)
| p2(X0) )
| ~ spl115_1159 ),
inference(avatar_component_clause,[],[f8448]) ).
fof(f8655,plain,
( spl115_85
| ~ spl115_475
| ~ spl115_1135
| ~ spl115_1158 ),
inference(avatar_contradiction_clause,[],[f8654]) ).
fof(f8654,plain,
( $false
| spl115_85
| ~ spl115_475
| ~ spl115_1135
| ~ spl115_1158 ),
inference(subsumption_resolution,[],[f8653,f980]) ).
fof(f8653,plain,
( p2(sK95(sK100))
| ~ spl115_475
| ~ spl115_1135
| ~ spl115_1158 ),
inference(subsumption_resolution,[],[f8652,f3614]) ).
fof(f8652,plain,
( ~ r1(sK100,sK95(sK100))
| p2(sK95(sK100))
| ~ spl115_1135
| ~ spl115_1158 ),
inference(resolution,[],[f8446,f8299]) ).
fof(f8299,plain,
( r1(sK101(sK95(sK100)),sK93(sK101(sK95(sK100))))
| ~ spl115_1135 ),
inference(avatar_component_clause,[],[f8297]) ).
fof(f8297,plain,
( spl115_1135
<=> r1(sK101(sK95(sK100)),sK93(sK101(sK95(sK100)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_1135])]) ).
fof(f8446,plain,
( ! [X1] :
( ~ r1(sK101(X1),sK93(sK101(sK95(sK100))))
| ~ r1(sK100,X1)
| p2(X1) )
| ~ spl115_1158 ),
inference(avatar_component_clause,[],[f8445]) ).
fof(f8387,plain,
( spl115_85
| ~ spl115_475
| ~ spl115_1114 ),
inference(avatar_contradiction_clause,[],[f8386]) ).
fof(f8386,plain,
( $false
| spl115_85
| ~ spl115_475
| ~ spl115_1114 ),
inference(subsumption_resolution,[],[f8385,f3614]) ).
fof(f8385,plain,
( ~ r1(sK100,sK95(sK100))
| spl115_85
| ~ spl115_1114 ),
inference(subsumption_resolution,[],[f8382,f980]) ).
fof(f8382,plain,
( p2(sK95(sK100))
| ~ r1(sK100,sK95(sK100))
| ~ spl115_1114 ),
inference(resolution,[],[f8130,f482]) ).
fof(f8130,plain,
( p2(sK101(sK95(sK100)))
| ~ spl115_1114 ),
inference(avatar_component_clause,[],[f8128]) ).
fof(f8300,plain,
( spl115_1135
| spl115_1114
| ~ spl115_31
| ~ spl115_67
| spl115_85
| ~ spl115_475 ),
inference(avatar_split_clause,[],[f8295,f3613,f979,f858,f623,f8128,f8297]) ).
fof(f8295,plain,
( p2(sK101(sK95(sK100)))
| r1(sK101(sK95(sK100)),sK93(sK101(sK95(sK100))))
| ~ spl115_31
| ~ spl115_67
| spl115_85
| ~ spl115_475 ),
inference(subsumption_resolution,[],[f8294,f3614]) ).
fof(f8294,plain,
( p2(sK101(sK95(sK100)))
| r1(sK101(sK95(sK100)),sK93(sK101(sK95(sK100))))
| ~ r1(sK100,sK95(sK100))
| ~ spl115_31
| ~ spl115_67
| spl115_85 ),
inference(subsumption_resolution,[],[f8283,f980]) ).
fof(f8283,plain,
( p2(sK101(sK95(sK100)))
| r1(sK101(sK95(sK100)),sK93(sK101(sK95(sK100))))
| p2(sK95(sK100))
| ~ r1(sK100,sK95(sK100))
| ~ spl115_31
| ~ spl115_67 ),
inference(resolution,[],[f7980,f481]) ).
fof(f7980,plain,
( ! [X0] :
( ~ r1(sK95(sK100),X0)
| p2(X0)
| r1(X0,sK93(X0)) )
| ~ spl115_31
| ~ spl115_67 ),
inference(subsumption_resolution,[],[f7974,f625]) ).
fof(f7974,plain,
( ! [X0] :
( ~ r1(sK95(sK100),X0)
| p2(X0)
| r1(X0,sK93(X0))
| ~ sP2(sK100) )
| ~ spl115_67 ),
inference(resolution,[],[f7941,f432]) ).
fof(f7941,plain,
( ! [X0,X1] :
( ~ r1(sK100,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(X0,sK93(X0)) )
| ~ spl115_67 ),
inference(resolution,[],[f860,f428]) ).
fof(f8131,plain,
( spl115_1113
| spl115_1114
| ~ spl115_31
| ~ spl115_67
| spl115_85
| ~ spl115_475 ),
inference(avatar_split_clause,[],[f8122,f3613,f979,f858,f623,f8128,f8124]) ).
fof(f8122,plain,
( p2(sK101(sK95(sK100)))
| p2(sK93(sK101(sK95(sK100))))
| ~ spl115_31
| ~ spl115_67
| spl115_85
| ~ spl115_475 ),
inference(subsumption_resolution,[],[f8121,f3614]) ).
fof(f8121,plain,
( p2(sK101(sK95(sK100)))
| p2(sK93(sK101(sK95(sK100))))
| ~ r1(sK100,sK95(sK100))
| ~ spl115_31
| ~ spl115_67
| spl115_85 ),
inference(subsumption_resolution,[],[f8057,f980]) ).
fof(f8057,plain,
( p2(sK101(sK95(sK100)))
| p2(sK93(sK101(sK95(sK100))))
| p2(sK95(sK100))
| ~ r1(sK100,sK95(sK100))
| ~ spl115_31
| ~ spl115_67 ),
inference(resolution,[],[f7961,f481]) ).
fof(f7961,plain,
( ! [X0] :
( ~ r1(sK95(sK100),X0)
| p2(X0)
| p2(sK93(X0)) )
| ~ spl115_31
| ~ spl115_67 ),
inference(subsumption_resolution,[],[f7955,f625]) ).
fof(f7955,plain,
( ! [X0] :
( ~ r1(sK95(sK100),X0)
| p2(X0)
| p2(sK93(X0))
| ~ sP2(sK100) )
| ~ spl115_67 ),
inference(resolution,[],[f7942,f432]) ).
fof(f7942,plain,
( ! [X0,X1] :
( ~ r1(sK100,X1)
| ~ r1(X1,X0)
| p2(X0)
| p2(sK93(X0)) )
| ~ spl115_67 ),
inference(resolution,[],[f860,f431]) ).
fof(f7933,plain,
( ~ spl115_400
| spl115_642
| ~ spl115_909
| ~ spl115_910 ),
inference(avatar_contradiction_clause,[],[f7932]) ).
fof(f7932,plain,
( $false
| ~ spl115_400
| spl115_642
| ~ spl115_909
| ~ spl115_910 ),
inference(subsumption_resolution,[],[f7927,f3140]) ).
fof(f3140,plain,
( sP10(sK89(sK106))
| ~ spl115_400 ),
inference(avatar_component_clause,[],[f3138]) ).
fof(f7927,plain,
( ~ sP10(sK89(sK106))
| spl115_642
| ~ spl115_909
| ~ spl115_910 ),
inference(resolution,[],[f6906,f6694]) ).
fof(f6694,plain,
( r1(sK89(sK106),sK90(sK106))
| ~ spl115_909 ),
inference(avatar_component_clause,[],[f6693]) ).
fof(f6693,plain,
( spl115_909
<=> r1(sK89(sK106),sK90(sK106)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_909])]) ).
fof(f6906,plain,
( ! [X0] :
( ~ r1(X0,sK90(sK106))
| ~ sP10(X0) )
| spl115_642
| ~ spl115_910 ),
inference(subsumption_resolution,[],[f6899,f4746]) ).
fof(f4746,plain,
( ~ p2(sK90(sK106))
| spl115_642 ),
inference(avatar_component_clause,[],[f4745]) ).
fof(f4745,plain,
( spl115_642
<=> p2(sK90(sK106)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_642])]) ).
fof(f6899,plain,
( ! [X0] :
( p2(sK90(sK106))
| ~ r1(X0,sK90(sK106))
| ~ sP10(X0) )
| ~ spl115_910 ),
inference(resolution,[],[f6699,f402]) ).
fof(f402,plain,
! [X0,X1] :
( ~ p2(sK80(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ( p2(sK79(X1))
& ~ p2(sK80(X1))
& r1(sK79(X1),sK80(X1))
& r1(X1,sK79(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK79,sK80])],[f176,f178,f177]) ).
fof(f177,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK79(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK79(X1),X3) )
& r1(X1,sK79(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK79(X1),X3) )
=> ( ~ p2(sK80(X1))
& r1(sK79(X1),sK80(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f175]) ).
fof(f175,plain,
! [X93] :
( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ~ sP10(X93) ),
inference(nnf_transformation,[],[f19]) ).
fof(f6699,plain,
( p2(sK80(sK90(sK106)))
| ~ spl115_910 ),
inference(avatar_component_clause,[],[f6697]) ).
fof(f6697,plain,
( spl115_910
<=> p2(sK80(sK90(sK106))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_910])]) ).
fof(f6898,plain,
( ~ spl115_70
| spl115_909 ),
inference(avatar_contradiction_clause,[],[f6897]) ).
fof(f6897,plain,
( $false
| ~ spl115_70
| spl115_909 ),
inference(subsumption_resolution,[],[f6896,f876]) ).
fof(f6896,plain,
( ~ sP5(sK106)
| spl115_909 ),
inference(resolution,[],[f6695,f421]) ).
fof(f421,plain,
! [X0] :
( r1(sK89(X0),sK90(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f6695,plain,
( ~ r1(sK89(sK106),sK90(sK106))
| spl115_909 ),
inference(avatar_component_clause,[],[f6693]) ).
fof(f6700,plain,
( ~ spl115_909
| spl115_910
| ~ spl115_400
| spl115_642
| ~ spl115_879 ),
inference(avatar_split_clause,[],[f6691,f6515,f4745,f3138,f6697,f6693]) ).
fof(f6515,plain,
( spl115_879
<=> ! [X0] :
( p2(X0)
| ~ r1(sK79(sK90(sK106)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_879])]) ).
fof(f6691,plain,
( p2(sK80(sK90(sK106)))
| ~ r1(sK89(sK106),sK90(sK106))
| ~ spl115_400
| spl115_642
| ~ spl115_879 ),
inference(subsumption_resolution,[],[f6677,f4746]) ).
fof(f6677,plain,
( p2(sK80(sK90(sK106)))
| ~ r1(sK89(sK106),sK90(sK106))
| p2(sK90(sK106))
| ~ spl115_400
| ~ spl115_879 ),
inference(resolution,[],[f6516,f6462]) ).
fof(f6462,plain,
( ! [X0] :
( r1(sK79(X0),sK80(X0))
| ~ r1(sK89(sK106),X0)
| p2(X0) )
| ~ spl115_400 ),
inference(resolution,[],[f3140,f401]) ).
fof(f401,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK79(X1),sK80(X1)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f6516,plain,
( ! [X0] :
( ~ r1(sK79(sK90(sK106)),X0)
| p2(X0) )
| ~ spl115_879 ),
inference(avatar_component_clause,[],[f6515]) ).
fof(f6566,plain,
( spl115_880
| ~ spl115_70
| ~ spl115_400
| spl115_642 ),
inference(avatar_split_clause,[],[f6565,f4745,f3138,f874,f6519]) ).
fof(f6519,plain,
( spl115_880
<=> r1(sK90(sK106),sK79(sK90(sK106))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_880])]) ).
fof(f6565,plain,
( r1(sK90(sK106),sK79(sK90(sK106)))
| ~ spl115_70
| ~ spl115_400
| spl115_642 ),
inference(subsumption_resolution,[],[f6564,f876]) ).
fof(f6564,plain,
( r1(sK90(sK106),sK79(sK90(sK106)))
| ~ sP5(sK106)
| ~ spl115_400
| spl115_642 ),
inference(subsumption_resolution,[],[f6549,f4746]) ).
fof(f6549,plain,
( p2(sK90(sK106))
| r1(sK90(sK106),sK79(sK90(sK106)))
| ~ sP5(sK106)
| ~ spl115_400 ),
inference(resolution,[],[f6463,f421]) ).
fof(f6463,plain,
( ! [X0] :
( ~ r1(sK89(sK106),X0)
| p2(X0)
| r1(X0,sK79(X0)) )
| ~ spl115_400 ),
inference(resolution,[],[f3140,f400]) ).
fof(f400,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK79(X1)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f6522,plain,
( ~ spl115_880
| spl115_879
| ~ spl115_70
| ~ spl115_400
| spl115_642 ),
inference(avatar_split_clause,[],[f6506,f4745,f3138,f874,f6515,f6519]) ).
fof(f6506,plain,
( ! [X0] :
( ~ r1(sK79(sK90(sK106)),X0)
| ~ r1(sK90(sK106),sK79(sK90(sK106)))
| p2(X0) )
| ~ spl115_70
| ~ spl115_400
| spl115_642 ),
inference(resolution,[],[f6499,f1742]) ).
fof(f1742,plain,
( ! [X0,X1] :
( ~ p2(X1)
| ~ r1(X1,X0)
| ~ r1(sK90(sK106),X1)
| p2(X0) )
| ~ spl115_70 ),
inference(resolution,[],[f876,f423]) ).
fof(f423,plain,
! [X3,X0,X4] :
( ~ sP5(X0)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK90(X0),X3)
| ~ p2(X3) ),
inference(cnf_transformation,[],[f204]) ).
fof(f6499,plain,
( p2(sK79(sK90(sK106)))
| ~ spl115_70
| ~ spl115_400
| spl115_642 ),
inference(subsumption_resolution,[],[f6498,f876]) ).
fof(f6498,plain,
( p2(sK79(sK90(sK106)))
| ~ sP5(sK106)
| ~ spl115_400
| spl115_642 ),
inference(subsumption_resolution,[],[f6483,f4746]) ).
fof(f6483,plain,
( p2(sK90(sK106))
| p2(sK79(sK90(sK106)))
| ~ sP5(sK106)
| ~ spl115_400 ),
inference(resolution,[],[f6464,f421]) ).
fof(f6464,plain,
( ! [X0] :
( ~ r1(sK89(sK106),X0)
| p2(X0)
| p2(sK79(X0)) )
| ~ spl115_400 ),
inference(resolution,[],[f3140,f403]) ).
fof(f403,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK79(X1)) ),
inference(cnf_transformation,[],[f179]) ).
fof(f6410,plain,
( ~ spl115_70
| ~ spl115_401
| spl115_642
| ~ spl115_643 ),
inference(avatar_contradiction_clause,[],[f6409]) ).
fof(f6409,plain,
( $false
| ~ spl115_70
| ~ spl115_401
| spl115_642
| ~ spl115_643 ),
inference(subsumption_resolution,[],[f6408,f3989]) ).
fof(f3989,plain,
( sP8(sK90(sK106))
| ~ spl115_70
| ~ spl115_401 ),
inference(subsumption_resolution,[],[f3976,f876]) ).
fof(f3976,plain,
( sP8(sK90(sK106))
| ~ sP5(sK106)
| ~ spl115_401 ),
inference(resolution,[],[f3263,f421]) ).
fof(f3263,plain,
( ! [X0] :
( ~ r1(sK89(sK106),X0)
| sP8(X0) )
| ~ spl115_401 ),
inference(resolution,[],[f3144,f399]) ).
fof(f399,plain,
! [X0,X1] :
( ~ sP11(X0)
| ~ r1(X0,X1)
| sP8(X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ! [X1] :
( ( sP8(X1)
& ( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK78(X1),X3) )
& ~ p2(sK78(X1))
& r1(X1,sK78(X1)) )
| sP7(X1) ) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK78])],[f172,f173]) ).
fof(f173,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(sK78(X1),X3) )
& ~ p2(sK78(X1))
& r1(X1,sK78(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( ( sP8(X1)
& ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| sP7(X1) ) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(rectify,[],[f171]) ).
fof(f171,plain,
! [X93] :
( ! [X103] :
( ( sP8(X103)
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| sP7(X103) ) )
| ~ r1(X93,X103) )
| ~ sP11(X93) ),
inference(nnf_transformation,[],[f20]) ).
fof(f3144,plain,
( sP11(sK89(sK106))
| ~ spl115_401 ),
inference(avatar_component_clause,[],[f3142]) ).
fof(f6408,plain,
( ~ sP8(sK90(sK106))
| ~ spl115_70
| ~ spl115_401
| spl115_642
| ~ spl115_643 ),
inference(subsumption_resolution,[],[f6401,f4746]) ).
fof(f6401,plain,
( p2(sK90(sK106))
| ~ sP8(sK90(sK106))
| ~ spl115_70
| ~ spl115_401
| spl115_642
| ~ spl115_643 ),
inference(resolution,[],[f6367,f410]) ).
fof(f410,plain,
! [X0] :
( ~ p2(sK84(X0))
| p2(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ( p2(sK83(X0))
& ~ p2(sK84(X0))
& r1(sK83(X0),sK84(X0))
& r1(X0,sK83(X0)) )
| p2(X0)
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83,sK84])],[f186,f188,f187]) ).
fof(f187,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK83(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK83(X0),X2) )
& r1(X0,sK83(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f188,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK83(X0),X2) )
=> ( ~ p2(sK84(X0))
& r1(sK83(X0),sK84(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f186,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0)
| ~ sP8(X0) ),
inference(rectify,[],[f185]) ).
fof(f185,plain,
! [X103] :
( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103)
| ~ sP8(X103) ),
inference(nnf_transformation,[],[f17]) ).
fof(f6367,plain,
( p2(sK84(sK90(sK106)))
| ~ spl115_70
| ~ spl115_401
| spl115_642
| ~ spl115_643 ),
inference(subsumption_resolution,[],[f6366,f3989]) ).
fof(f6366,plain,
( p2(sK84(sK90(sK106)))
| ~ sP8(sK90(sK106))
| spl115_642
| ~ spl115_643 ),
inference(subsumption_resolution,[],[f6353,f4746]) ).
fof(f6353,plain,
( p2(sK84(sK90(sK106)))
| p2(sK90(sK106))
| ~ sP8(sK90(sK106))
| ~ spl115_643 ),
inference(resolution,[],[f4750,f409]) ).
fof(f409,plain,
! [X0] :
( r1(sK83(X0),sK84(X0))
| p2(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f4750,plain,
( ! [X1] :
( ~ r1(sK83(sK90(sK106)),X1)
| p2(X1) )
| ~ spl115_643 ),
inference(avatar_component_clause,[],[f4749]) ).
fof(f4749,plain,
( spl115_643
<=> ! [X1] :
( p2(X1)
| ~ r1(sK83(sK90(sK106)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_643])]) ).
fof(f6011,plain,
( spl115_643
| ~ spl115_70
| ~ spl115_401
| spl115_642
| ~ spl115_646 ),
inference(avatar_split_clause,[],[f6010,f4760,f4745,f3142,f874,f4749]) ).
fof(f4760,plain,
( spl115_646
<=> r1(sK90(sK106),sK83(sK90(sK106))) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_646])]) ).
fof(f6010,plain,
( ! [X0] :
( ~ r1(sK83(sK90(sK106)),X0)
| p2(X0) )
| ~ spl115_70
| ~ spl115_401
| spl115_642
| ~ spl115_646 ),
inference(subsumption_resolution,[],[f6009,f3989]) ).
fof(f6009,plain,
( ! [X0] :
( ~ r1(sK83(sK90(sK106)),X0)
| p2(X0)
| ~ sP8(sK90(sK106)) )
| ~ spl115_70
| spl115_642
| ~ spl115_646 ),
inference(subsumption_resolution,[],[f6006,f4746]) ).
fof(f6006,plain,
( ! [X0] :
( ~ r1(sK83(sK90(sK106)),X0)
| p2(X0)
| p2(sK90(sK106))
| ~ sP8(sK90(sK106)) )
| ~ spl115_70
| ~ spl115_646 ),
inference(resolution,[],[f4762,f2439]) ).
fof(f2439,plain,
( ! [X0,X1] :
( ~ r1(sK90(sK106),sK83(X0))
| ~ r1(sK83(X0),X1)
| p2(X1)
| p2(X0)
| ~ sP8(X0) )
| ~ spl115_70 ),
inference(resolution,[],[f1742,f411]) ).
fof(f411,plain,
! [X0] :
( p2(sK83(X0))
| p2(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f4762,plain,
( r1(sK90(sK106),sK83(sK90(sK106)))
| ~ spl115_646 ),
inference(avatar_component_clause,[],[f4760]) ).
fof(f4919,plain,
( ~ spl115_70
| ~ spl115_642 ),
inference(avatar_contradiction_clause,[],[f4918]) ).
fof(f4918,plain,
( $false
| ~ spl115_70
| ~ spl115_642 ),
inference(subsumption_resolution,[],[f4911,f876]) ).
fof(f4911,plain,
( ~ sP5(sK106)
| ~ spl115_642 ),
inference(resolution,[],[f4747,f422]) ).
fof(f422,plain,
! [X0] :
( ~ p2(sK90(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f4747,plain,
( p2(sK90(sK106))
| ~ spl115_642 ),
inference(avatar_component_clause,[],[f4745]) ).
fof(f4763,plain,
( spl115_646
| spl115_642
| ~ spl115_70
| ~ spl115_401 ),
inference(avatar_split_clause,[],[f4743,f3142,f874,f4745,f4760]) ).
fof(f4743,plain,
( p2(sK90(sK106))
| r1(sK90(sK106),sK83(sK90(sK106)))
| ~ spl115_70
| ~ spl115_401 ),
inference(resolution,[],[f3989,f408]) ).
fof(f408,plain,
! [X0] :
( ~ sP8(X0)
| p2(X0)
| r1(X0,sK83(X0)) ),
inference(cnf_transformation,[],[f189]) ).
fof(f3705,plain,
( ~ spl115_31
| spl115_475 ),
inference(avatar_contradiction_clause,[],[f3704]) ).
fof(f3704,plain,
( $false
| ~ spl115_31
| spl115_475 ),
inference(subsumption_resolution,[],[f3703,f625]) ).
fof(f3703,plain,
( ~ sP2(sK100)
| spl115_475 ),
inference(resolution,[],[f3615,f432]) ).
fof(f3615,plain,
( ~ r1(sK100,sK95(sK100))
| spl115_475 ),
inference(avatar_component_clause,[],[f3613]) ).
fof(f3145,plain,
( spl115_400
| spl115_401
| ~ spl115_27
| ~ spl115_70
| ~ spl115_292 ),
inference(avatar_split_clause,[],[f3136,f2309,f874,f605,f3142,f3138]) ).
fof(f3136,plain,
( sP11(sK89(sK106))
| sP10(sK89(sK106))
| ~ spl115_27
| ~ spl115_70
| ~ spl115_292 ),
inference(subsumption_resolution,[],[f3112,f1743]) ).
fof(f3112,plain,
( sP11(sK89(sK106))
| ~ r1(sK106,sK89(sK106))
| sP10(sK89(sK106))
| ~ spl115_27
| ~ spl115_292 ),
inference(resolution,[],[f2311,f2749]) ).
fof(f2749,plain,
( ! [X0] :
( ~ p2(X0)
| sP11(X0)
| ~ r1(sK106,X0)
| sP10(X0) )
| ~ spl115_27 ),
inference(resolution,[],[f607,f389]) ).
fof(f389,plain,
! [X0,X1] :
( ~ sP13(X0)
| sP10(X1)
| sP11(X1)
| ~ r1(X0,X1)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f2311,plain,
( p2(sK89(sK106))
| ~ spl115_292 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f3034,plain,
( ~ spl115_29
| ~ spl115_31
| spl115_68
| ~ spl115_334 ),
inference(avatar_contradiction_clause,[],[f3033]) ).
fof(f3033,plain,
( $false
| ~ spl115_29
| ~ spl115_31
| spl115_68
| ~ spl115_334 ),
inference(subsumption_resolution,[],[f3032,f617]) ).
fof(f3032,plain,
( ~ r1(sK100,sK106)
| ~ spl115_31
| spl115_68
| ~ spl115_334 ),
inference(resolution,[],[f2820,f1011]) ).
fof(f2820,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ r1(X0,sK106) )
| spl115_68
| ~ spl115_334 ),
inference(subsumption_resolution,[],[f2813,f867]) ).
fof(f2813,plain,
( ! [X0] :
( p2(sK106)
| ~ r1(X0,sK106)
| ~ sP1(X0) )
| ~ spl115_334 ),
inference(resolution,[],[f2629,f437]) ).
fof(f2629,plain,
( p2(sK97(sK106))
| ~ spl115_334 ),
inference(avatar_component_clause,[],[f2627]) ).
fof(f2627,plain,
( spl115_334
<=> p2(sK97(sK106)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_334])]) ).
fof(f2630,plain,
( ~ spl115_29
| spl115_334
| ~ spl115_31
| spl115_68
| ~ spl115_188 ),
inference(avatar_split_clause,[],[f2625,f1647,f865,f623,f2627,f615]) ).
fof(f1647,plain,
( spl115_188
<=> ! [X0] :
( p2(X0)
| ~ r1(sK96(sK106),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_188])]) ).
fof(f2625,plain,
( p2(sK97(sK106))
| ~ r1(sK100,sK106)
| ~ spl115_31
| spl115_68
| ~ spl115_188 ),
inference(subsumption_resolution,[],[f2232,f867]) ).
fof(f2232,plain,
( p2(sK97(sK106))
| ~ r1(sK100,sK106)
| p2(sK106)
| ~ spl115_31
| ~ spl115_188 ),
inference(resolution,[],[f1648,f1205]) ).
fof(f1648,plain,
( ! [X0] :
( ~ r1(sK96(sK106),X0)
| p2(X0) )
| ~ spl115_188 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f2312,plain,
( spl115_291
| spl115_292
| ~ spl115_69
| ~ spl115_70 ),
inference(avatar_split_clause,[],[f2290,f874,f869,f2309,f2305]) ).
fof(f2290,plain,
( p2(sK89(sK106))
| p2(sK87(sK89(sK106)))
| ~ spl115_69
| ~ spl115_70 ),
inference(resolution,[],[f1740,f1743]) ).
fof(f1740,plain,
( ! [X0] :
( ~ r1(sK106,X0)
| p2(X0)
| p2(sK87(X0)) )
| ~ spl115_69 ),
inference(resolution,[],[f871,f419]) ).
fof(f419,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK87(X1)) ),
inference(cnf_transformation,[],[f199]) ).
fof(f1896,plain,
( ~ spl115_29
| ~ spl115_31
| spl115_68
| spl115_189 ),
inference(avatar_contradiction_clause,[],[f1895]) ).
fof(f1895,plain,
( $false
| ~ spl115_29
| ~ spl115_31
| spl115_68
| spl115_189 ),
inference(subsumption_resolution,[],[f1894,f867]) ).
fof(f1894,plain,
( p2(sK106)
| ~ spl115_29
| ~ spl115_31
| spl115_189 ),
inference(subsumption_resolution,[],[f1893,f617]) ).
fof(f1893,plain,
( ~ r1(sK100,sK106)
| p2(sK106)
| ~ spl115_31
| spl115_189 ),
inference(resolution,[],[f1653,f1056]) ).
fof(f1653,plain,
( ~ r1(sK106,sK96(sK106))
| spl115_189 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f1651,plain,
( spl115_189
<=> r1(sK106,sK96(sK106)) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_189])]) ).
fof(f1860,plain,
( ~ spl115_189
| spl115_188
| ~ spl115_29
| ~ spl115_31
| spl115_68
| ~ spl115_125 ),
inference(avatar_split_clause,[],[f1856,f1253,f865,f623,f615,f1647,f1651]) ).
fof(f1856,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK106,sK96(sK106))
| ~ r1(sK96(sK106),X0) )
| ~ spl115_29
| ~ spl115_31
| spl115_68
| ~ spl115_125 ),
inference(resolution,[],[f1853,f1254]) ).
fof(f1853,plain,
( p2(sK96(sK106))
| ~ spl115_29
| ~ spl115_31
| spl115_68 ),
inference(subsumption_resolution,[],[f1850,f867]) ).
fof(f1850,plain,
( p2(sK106)
| p2(sK96(sK106))
| ~ spl115_29
| ~ spl115_31 ),
inference(resolution,[],[f617,f1012]) ).
fof(f1012,plain,
( ! [X0] :
( ~ r1(sK100,X0)
| p2(X0)
| p2(sK96(X0)) )
| ~ spl115_31 ),
inference(resolution,[],[f1011,f438]) ).
fof(f438,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK96(X1)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f1767,plain,
( spl115_207
| spl115_204
| ~ spl115_31
| ~ spl115_66 ),
inference(avatar_split_clause,[],[f1748,f854,f623,f1752,f1764]) ).
fof(f1748,plain,
( p2(sK77(sK100))
| p2(sK96(sK77(sK100)))
| ~ spl115_31
| ~ spl115_66 ),
inference(resolution,[],[f856,f1012]) ).
fof(f1611,plain,
( ~ spl115_31
| ~ spl115_85 ),
inference(avatar_contradiction_clause,[],[f1610]) ).
fof(f1610,plain,
( $false
| ~ spl115_31
| ~ spl115_85 ),
inference(subsumption_resolution,[],[f1605,f625]) ).
fof(f1605,plain,
( ~ sP2(sK100)
| ~ spl115_85 ),
inference(resolution,[],[f981,f433]) ).
fof(f433,plain,
! [X0] :
( ~ p2(sK95(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f981,plain,
( p2(sK95(sK100))
| ~ spl115_85 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f1257,plain,
( spl115_69
| spl115_125
| ~ spl115_28 ),
inference(avatar_split_clause,[],[f1256,f610,f1253,f869]) ).
fof(f610,plain,
( spl115_28
<=> sP12(sK106) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_28])]) ).
fof(f1256,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK106,X1)
| sP6(sK106)
| ~ p2(X1) )
| ~ spl115_28 ),
inference(resolution,[],[f395,f612]) ).
fof(f612,plain,
( sP12(sK106)
| ~ spl115_28 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f395,plain,
! [X2,X0,X1] :
( ~ sP12(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP6(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ~ p2(X0) )
| ( sP6(X0)
& sP5(X0) )
| ~ sP12(X0) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X92] :
( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| ( sP6(X92)
& sP5(X92) )
| ~ sP12(X92) ),
inference(nnf_transformation,[],[f21]) ).
fof(f1255,plain,
( spl115_70
| spl115_125
| ~ spl115_28 ),
inference(avatar_split_clause,[],[f1251,f610,f1253,f874]) ).
fof(f1251,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK106,X1)
| sP5(sK106)
| ~ p2(X1) )
| ~ spl115_28 ),
inference(resolution,[],[f394,f612]) ).
fof(f394,plain,
! [X2,X0,X1] :
( ~ sP12(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP5(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f988,plain,
( ~ spl115_30
| ~ spl115_32
| ~ spl115_33 ),
inference(avatar_contradiction_clause,[],[f987]) ).
fof(f987,plain,
( $false
| ~ spl115_30
| ~ spl115_32
| ~ spl115_33 ),
inference(subsumption_resolution,[],[f983,f484]) ).
fof(f484,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f983,plain,
( ~ r1(sK100,sK100)
| ~ spl115_30
| ~ spl115_32
| ~ spl115_33 ),
inference(resolution,[],[f629,f919]) ).
fof(f919,plain,
( ~ r1(sK100,sK110(sK100))
| ~ spl115_30
| ~ spl115_33 ),
inference(resolution,[],[f826,f633]) ).
fof(f633,plain,
( ! [X36] :
( ~ p5(X36)
| ~ r1(sK100,X36) )
| ~ spl115_33 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f632,plain,
( spl115_33
<=> ! [X36] :
( ~ p5(X36)
| ~ r1(sK100,X36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_33])]) ).
fof(f826,plain,
( p5(sK110(sK100))
| ~ spl115_30 ),
inference(resolution,[],[f621,f484]) ).
fof(f621,plain,
( ! [X29] :
( ~ r1(sK100,X29)
| p5(sK110(X29)) )
| ~ spl115_30 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f620,plain,
( spl115_30
<=> ! [X29] :
( p5(sK110(X29))
| ~ r1(sK100,X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_30])]) ).
fof(f629,plain,
( ! [X29] :
( r1(X29,sK110(X29))
| ~ r1(sK100,X29) )
| ~ spl115_32 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f628,plain,
( spl115_32
<=> ! [X29] :
( r1(X29,sK110(X29))
| ~ r1(sK100,X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl115_32])]) ).
fof(f877,plain,
( ~ spl115_68
| spl115_70
| ~ spl115_28 ),
inference(avatar_split_clause,[],[f863,f610,f874,f865]) ).
fof(f863,plain,
( sP5(sK106)
| ~ p2(sK106)
| ~ spl115_28 ),
inference(resolution,[],[f612,f392]) ).
fof(f392,plain,
! [X0] :
( ~ sP12(X0)
| sP5(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f872,plain,
( ~ spl115_68
| spl115_69
| ~ spl115_28 ),
inference(avatar_split_clause,[],[f862,f610,f869,f865]) ).
fof(f862,plain,
( sP6(sK106)
| ~ p2(sK106)
| ~ spl115_28 ),
inference(resolution,[],[f612,f393]) ).
fof(f393,plain,
! [X0] :
( ~ sP12(X0)
| sP6(X0)
| ~ p2(X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f648,plain,
( spl115_33
| spl115_36 ),
inference(avatar_split_clause,[],[f443,f645,f632]) ).
fof(f443,plain,
! [X36] :
( r1(sK100,sK114)
| ~ p5(X36)
| ~ r1(sK100,X36) ),
inference(cnf_transformation,[],[f245]) ).
fof(f643,plain,
( spl115_33
| ~ spl115_35 ),
inference(avatar_split_clause,[],[f444,f640,f632]) ).
fof(f444,plain,
! [X36] :
( ~ p2(sK114)
| ~ p5(X36)
| ~ r1(sK100,X36) ),
inference(cnf_transformation,[],[f245]) ).
fof(f638,plain,
( spl115_33
| spl115_34 ),
inference(avatar_split_clause,[],[f445,f635,f632]) ).
fof(f445,plain,
! [X36] :
( sP0(sK100)
| ~ p5(X36)
| ~ r1(sK100,X36) ),
inference(cnf_transformation,[],[f245]) ).
fof(f630,plain,
( spl115_32
| spl115_31 ),
inference(avatar_split_clause,[],[f452,f623,f628]) ).
fof(f452,plain,
! [X29] :
( sP2(sK100)
| r1(X29,sK110(X29))
| ~ r1(sK100,X29) ),
inference(cnf_transformation,[],[f245]) ).
fof(f626,plain,
( spl115_30
| spl115_31 ),
inference(avatar_split_clause,[],[f453,f623,f620]) ).
fof(f453,plain,
! [X29] :
( sP2(sK100)
| p5(sK110(X29))
| ~ r1(sK100,X29) ),
inference(cnf_transformation,[],[f245]) ).
fof(f618,plain,
( spl115_26
| spl115_29 ),
inference(avatar_split_clause,[],[f460,f615,f601]) ).
fof(f460,plain,
( r1(sK100,sK106)
| sP14(sK100) ),
inference(cnf_transformation,[],[f245]) ).
fof(f613,plain,
( spl115_26
| spl115_28 ),
inference(avatar_split_clause,[],[f461,f610,f601]) ).
fof(f461,plain,
( sP12(sK106)
| sP14(sK100) ),
inference(cnf_transformation,[],[f245]) ).
fof(f608,plain,
( spl115_26
| spl115_27 ),
inference(avatar_split_clause,[],[f462,f605,f601]) ).
fof(f462,plain,
( sP13(sK106)
| sP14(sK100) ),
inference(cnf_transformation,[],[f245]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : LCL660+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri May 3 13:22:50 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % (9509)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (9516)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)
% 0.12/0.36 % (9513)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.36 % (9515)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.36 % (9512)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)
% 0.12/0.36 % (9514)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.36 % (9511)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (9510)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.12/0.37 TRYING [1]
% 0.12/0.37 TRYING [2]
% 0.12/0.38 TRYING [3]
% 0.12/0.38 TRYING [1]
% 0.12/0.38 TRYING [2]
% 0.12/0.38 TRYING [3]
% 0.18/0.39 TRYING [3]
% 0.18/0.39 TRYING [1]
% 0.18/0.39 TRYING [4]
% 0.18/0.39 TRYING [2]
% 0.18/0.39 TRYING [4]
% 0.18/0.40 TRYING [3]
% 0.18/0.40 TRYING [4]
% 0.18/0.42 TRYING [5]
% 0.18/0.42 TRYING [5]
% 0.18/0.42 TRYING [4]
% 0.18/0.44 TRYING [5]
% 0.18/0.46 TRYING [5]
% 0.18/0.49 TRYING [6]
% 0.18/0.51 TRYING [6]
% 1.38/0.54 TRYING [6]
% 1.38/0.54 TRYING [6]
% 1.55/0.59 % (9515)First to succeed.
% 1.55/0.60 % (9515)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9509"
% 1.55/0.61 % (9515)Refutation found. Thanks to Tanya!
% 1.55/0.61 % SZS status Theorem for theBenchmark
% 1.55/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.61 % (9515)------------------------------
% 1.55/0.61 % (9515)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.55/0.61 % (9515)Termination reason: Refutation
% 1.55/0.61
% 1.55/0.61 % (9515)Memory used [KB]: 5850
% 1.55/0.61 % (9515)Time elapsed: 0.248 s
% 1.55/0.61 % (9515)Instructions burned: 497 (million)
% 1.55/0.61 % (9509)Success in time 0.26 s
%------------------------------------------------------------------------------