%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL676+1.010 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:33:35 EDT 2024
% Result : Theorem 27.52s 4.25s
% Output : Refutation 27.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 91
% Syntax : Number of formulae : 250 ( 3 unt; 0 def)
% Number of atoms : 4492 ( 0 equ)
% Maximal formula atoms : 426 ( 17 avg)
% Number of connectives : 6528 (2286 ~;3258 |; 938 &)
% ( 23 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 73 ( 72 usr; 24 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 9 con; 0-1 aty)
% Number of variables : 1556 (1235 !; 321 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f98851,plain,
$false,
inference(avatar_sat_refutation,[],[f640,f644,f653,f658,f663,f2260,f3388,f7156,f16097,f16401,f16406,f16412,f16700,f65145,f65318,f65420,f67858,f67879,f67915,f69858,f69879,f70246,f98767,f98850]) ).
fof(f98850,plain,
( spl118_126
| ~ spl118_278
| ~ spl118_1972
| ~ spl118_2008 ),
inference(avatar_contradiction_clause,[],[f98849]) ).
fof(f98849,plain,
( $false
| spl118_126
| ~ spl118_278
| ~ spl118_1972
| ~ spl118_2008 ),
inference(subsumption_resolution,[],[f98848,f1281]) ).
fof(f1281,plain,
( ~ p2(sK96(sK103))
| spl118_126 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1280,plain,
( spl118_126
<=> p2(sK96(sK103)) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_126])]) ).
fof(f98848,plain,
( p2(sK96(sK103))
| ~ spl118_278
| ~ spl118_1972
| ~ spl118_2008 ),
inference(subsumption_resolution,[],[f98847,f2171]) ).
fof(f2171,plain,
( r1(sK103,sK96(sK103))
| ~ spl118_278 ),
inference(avatar_component_clause,[],[f2170]) ).
fof(f2170,plain,
( spl118_278
<=> r1(sK103,sK96(sK103)) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_278])]) ).
fof(f98847,plain,
( ~ r1(sK103,sK96(sK103))
| p2(sK96(sK103))
| ~ spl118_1972
| ~ spl118_2008 ),
inference(resolution,[],[f16699,f16400]) ).
fof(f16400,plain,
( r1(sK104(sK96(sK103)),sK97(sK104(sK96(sK103))))
| ~ spl118_1972 ),
inference(avatar_component_clause,[],[f16398]) ).
fof(f16398,plain,
( spl118_1972
<=> r1(sK104(sK96(sK103)),sK97(sK104(sK96(sK103)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_1972])]) ).
fof(f16699,plain,
( ! [X1] :
( ~ r1(sK104(X1),sK97(sK104(sK96(sK103))))
| ~ r1(sK103,X1)
| p2(X1) )
| ~ spl118_2008 ),
inference(avatar_component_clause,[],[f16698]) ).
fof(f16698,plain,
( spl118_2008
<=> ! [X1] :
( ~ r1(sK104(X1),sK97(sK104(sK96(sK103))))
| ~ r1(sK103,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_2008])]) ).
fof(f98767,plain,
( ~ spl118_31
| ~ spl118_279
| spl118_1970
| ~ spl118_2007 ),
inference(avatar_contradiction_clause,[],[f98766]) ).
fof(f98766,plain,
( $false
| ~ spl118_31
| ~ spl118_279
| spl118_1970
| ~ spl118_2007 ),
inference(subsumption_resolution,[],[f98765,f2176]) ).
fof(f2176,plain,
( r1(sK103,sK104(sK96(sK103)))
| ~ spl118_279 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f2174,plain,
( spl118_279
<=> r1(sK103,sK104(sK96(sK103))) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_279])]) ).
fof(f98765,plain,
( ~ r1(sK103,sK104(sK96(sK103)))
| ~ spl118_31
| ~ spl118_279
| spl118_1970
| ~ spl118_2007 ),
inference(resolution,[],[f72873,f70214]) ).
fof(f70214,plain,
( sP2(sK103)
| ~ spl118_31 ),
inference(resolution,[],[f639,f443]) ).
fof(f443,plain,
! [X0] :
( ~ sP3(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ( sP2(X0)
& ~ p2(sK96(X0))
& r1(X0,sK96(X0)) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK96])],[f220,f221]) ).
fof(f221,plain,
! [X0] :
( ? [X1] :
( ~ p2(X1)
& r1(X0,X1) )
=> ( ~ p2(sK96(X0))
& r1(X0,sK96(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0] :
( ( sP2(X0)
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) )
| ~ sP3(X0) ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ( sP2(X0)
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ( sP2(X0)
& ? [X138] :
( ~ p2(X138)
& r1(X0,X138) ) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f639,plain,
( sP3(sK103)
| ~ spl118_31 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f637,plain,
( spl118_31
<=> sP3(sK103) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_31])]) ).
fof(f72873,plain,
( ! [X0] :
( ~ sP2(X0)
| ~ r1(X0,sK104(sK96(sK103))) )
| ~ spl118_31
| ~ spl118_279
| spl118_1970
| ~ spl118_2007 ),
inference(subsumption_resolution,[],[f72871,f16389]) ).
fof(f16389,plain,
( ~ p2(sK104(sK96(sK103)))
| spl118_1970 ),
inference(avatar_component_clause,[],[f16388]) ).
fof(f16388,plain,
( spl118_1970
<=> p2(sK104(sK96(sK103))) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_1970])]) ).
fof(f72871,plain,
( ! [X0] :
( p2(sK104(sK96(sK103)))
| ~ r1(X0,sK104(sK96(sK103)))
| ~ sP2(X0) )
| ~ spl118_31
| ~ spl118_279
| spl118_1970
| ~ spl118_2007 ),
inference(resolution,[],[f70697,f446]) ).
fof(f446,plain,
! [X0,X1] :
( ~ p2(sK98(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0] :
( ! [X1] :
( ( p2(sK97(X1))
& ~ p2(sK98(X1))
& r1(sK97(X1),sK98(X1))
& r1(X1,sK97(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK97,sK98])],[f224,f226,f225]) ).
fof(f225,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK97(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK97(X1),X3) )
& r1(X1,sK97(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK97(X1),X3) )
=> ( ~ p2(sK98(X1))
& r1(sK97(X1),sK98(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP2(X0) ),
inference(rectify,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0] :
( ! [X135] :
( ? [X136] :
( p2(X136)
& ? [X137] :
( ~ p2(X137)
& r1(X136,X137) )
& r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f70697,plain,
( p2(sK98(sK104(sK96(sK103))))
| ~ spl118_31
| ~ spl118_279
| spl118_1970
| ~ spl118_2007 ),
inference(subsumption_resolution,[],[f70696,f16389]) ).
fof(f70696,plain,
( p2(sK104(sK96(sK103)))
| p2(sK98(sK104(sK96(sK103))))
| ~ spl118_31
| ~ spl118_279
| ~ spl118_2007 ),
inference(subsumption_resolution,[],[f70683,f2176]) ).
fof(f70683,plain,
( ~ r1(sK103,sK104(sK96(sK103)))
| p2(sK104(sK96(sK103)))
| p2(sK98(sK104(sK96(sK103))))
| ~ spl118_31
| ~ spl118_2007 ),
inference(resolution,[],[f70222,f16695]) ).
fof(f16695,plain,
( ! [X0] :
( ~ r1(sK97(sK104(sK96(sK103))),X0)
| p2(X0) )
| ~ spl118_2007 ),
inference(avatar_component_clause,[],[f16694]) ).
fof(f16694,plain,
( spl118_2007
<=> ! [X0] :
( p2(X0)
| ~ r1(sK97(sK104(sK96(sK103))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_2007])]) ).
fof(f70222,plain,
( ! [X0] :
( r1(sK97(X0),sK98(X0))
| ~ r1(sK103,X0)
| p2(X0) )
| ~ spl118_31 ),
inference(resolution,[],[f70214,f445]) ).
fof(f445,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK97(X1),sK98(X1)) ),
inference(cnf_transformation,[],[f227]) ).
fof(f70246,plain,
( spl118_278
| ~ spl118_31 ),
inference(avatar_split_clause,[],[f70230,f637,f2170]) ).
fof(f70230,plain,
( r1(sK103,sK96(sK103))
| ~ spl118_31 ),
inference(resolution,[],[f70213,f497]) ).
fof(f497,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(f70213,plain,
( ! [X0] :
( ~ r1(sK96(sK103),X0)
| r1(sK103,X0) )
| ~ spl118_31 ),
inference(resolution,[],[f639,f991]) ).
fof(f991,plain,
! [X0,X1] :
( ~ sP3(X0)
| r1(X0,X1)
| ~ r1(sK96(X0),X1) ),
inference(resolution,[],[f498,f441]) ).
fof(f441,plain,
! [X0] :
( r1(X0,sK96(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f498,plain,
! [X2,X0,X1] :
( ~ r1(X0,X1)
| ~ r1(X1,X2)
| r1(X0,X2) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(flattening,[],[f10]) ).
fof(f10,plain,
! [X0,X1,X2] :
( r1(X0,X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( r1(X1,X2)
& r1(X0,X1) )
=> r1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).
fof(f69879,plain,
( spl118_35
| ~ spl118_36
| ~ spl118_415 ),
inference(avatar_contradiction_clause,[],[f69878]) ).
fof(f69878,plain,
( $false
| spl118_35
| ~ spl118_36
| ~ spl118_415 ),
inference(subsumption_resolution,[],[f69877,f662]) ).
fof(f662,plain,
( r1(sK103,sK117)
| ~ spl118_36 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f660,plain,
( spl118_36
<=> r1(sK103,sK117) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_36])]) ).
fof(f69877,plain,
( ~ r1(sK103,sK117)
| spl118_35
| ~ spl118_415 ),
inference(subsumption_resolution,[],[f69875,f657]) ).
fof(f657,plain,
( ~ p2(sK117)
| spl118_35 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f655,plain,
( spl118_35
<=> p2(sK117) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_35])]) ).
fof(f69875,plain,
( p2(sK117)
| ~ r1(sK103,sK117)
| ~ spl118_415 ),
inference(resolution,[],[f3251,f495]) ).
fof(f495,plain,
! [X1] :
( ~ p2(sK104(X1))
| p2(X1)
| ~ r1(sK103,X1) ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK104(X1),X3) )
& ~ p2(sK104(X1))
& r1(X1,sK104(X1)) )
| p2(X1)
| ~ r1(sK103,X1) )
& ( ( sP42(sK105)
& r1(sK105,sK106)
& ~ p1(sK105)
& r1(sK103,sK105) )
| ! [X7] : ~ r1(sK103,X7)
| p1(sK103) )
& ( sP41(sK103)
| ! [X8] : ~ r1(sK103,X8)
| p1(sK103)
| p2(sK103) )
& ( sP39(sK103)
| ! [X9] : ~ r1(sK103,X9)
| p1(sK103)
| p2(sK103)
| p3(sK103) )
& ( sP37(sK103)
| ! [X10] : ~ r1(sK103,X10)
| p1(sK103)
| p2(sK103)
| p3(sK103)
| p4(sK103) )
& ( ( sP35(sK107)
& sP34(sK107)
& ~ p1(sK107)
& r1(sK103,sK107) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(sK103,X12) )
| p1(sK103) )
& ( sP32(sK103)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(sK103,X14) )
| p1(sK103)
| p2(sK103) )
& ( sP28(sK103)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(sK103,X16) )
| p1(sK103)
| p2(sK103)
| p3(sK103) )
& ( sP24(sK103)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(sK103,X18) )
| p1(sK103)
| p2(sK103)
| p3(sK103)
| p4(sK103) )
& ( ( sP20(sK108)
& sP19(sK108)
& ~ p1(sK108)
& r1(sK103,sK108) )
| ! [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(sK103,X21) )
| p1(sK103) )
& ( ( sP14(sK109)
& sP13(sK109)
& r1(sK103,sK109) )
| sP15(sK103) )
& ! [X25] :
( ( p1(sK110(X25))
& ~ p1(sK111(X25))
& r1(sK110(X25),sK111(X25))
& r1(X25,sK110(X25)) )
| p1(X25)
| ~ r1(sK103,X25) )
& ~ p1(sK112)
& r1(sK103,sK112)
& ( sP3(sK103)
| ! [X29] :
( ( p5(sK113(X29))
& r1(X29,sK113(X29)) )
| ~ r1(sK103,X29) ) )
& ! [X31] :
( ( p3(sK114(X31))
& ~ p3(sK115(X31))
& r1(sK114(X31),sK115(X31))
& r1(X31,sK114(X31)) )
| p3(X31)
| ~ r1(sK103,X31) )
& ~ p3(sK116)
& r1(sK103,sK116)
& ( ( sP0(sK103)
& ~ p2(sK117)
& r1(sK103,sK117) )
| sP1(sK103) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK103,sK104,sK105,sK106,sK107,sK108,sK109,sK110,sK111,sK112,sK113,sK114,sK115,sK116,sK117])],[f238,f253,f252,f251,f250,f249,f248,f247,f246,f245,f244,f243,f242,f241,f240,f239]) ).
fof(f239,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] :
( sP42(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP41(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP39(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP37(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP35(X11)
& sP34(X11)
& ~ p1(X11)
& r1(X0,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(X0,X12) )
| p1(X0) )
& ( sP32(X0)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(X0,X14) )
| p1(X0)
| p2(X0) )
& ( sP28(X0)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(X0,X16) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP24(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] :
( sP20(X20)
& sP19(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] :
( sP14(X24)
& sP13(X24)
& r1(X0,X24) )
| sP15(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) )
& ( sP3(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) ) )
| sP1(X0) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK103,X1) )
& ( ? [X5] :
( sP42(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK103,X5) )
| ! [X7] : ~ r1(sK103,X7)
| p1(sK103) )
& ( sP41(sK103)
| ! [X8] : ~ r1(sK103,X8)
| p1(sK103)
| p2(sK103) )
& ( sP39(sK103)
| ! [X9] : ~ r1(sK103,X9)
| p1(sK103)
| p2(sK103)
| p3(sK103) )
& ( sP37(sK103)
| ! [X10] : ~ r1(sK103,X10)
| p1(sK103)
| p2(sK103)
| p3(sK103)
| p4(sK103) )
& ( ? [X11] :
( sP35(X11)
& sP34(X11)
& ~ p1(X11)
& r1(sK103,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(sK103,X12) )
| p1(sK103) )
& ( sP32(sK103)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(sK103,X14) )
| p1(sK103)
| p2(sK103) )
& ( sP28(sK103)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(sK103,X16) )
| p1(sK103)
| p2(sK103)
| p3(sK103) )
& ( sP24(sK103)
| ! [X18] :
( ! [X19] : ~ r1(X18,X19)
| p1(X18)
| p2(X18)
| p3(X18)
| p4(X18)
| ~ r1(sK103,X18) )
| p1(sK103)
| p2(sK103)
| p3(sK103)
| p4(sK103) )
& ( ? [X20] :
( sP20(X20)
& sP19(X20)
& ~ p1(X20)
& r1(sK103,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(sK103,X21) )
| p1(sK103) )
& ( ? [X24] :
( sP14(X24)
& sP13(X24)
& r1(sK103,X24) )
| sP15(sK103) )
& ! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
| p1(X25)
| ~ r1(sK103,X25) )
& ? [X28] :
( ~ p1(X28)
& r1(sK103,X28) )
& ( sP3(sK103)
| ! [X29] :
( ? [X30] :
( p5(X30)
& r1(X29,X30) )
| ~ r1(sK103,X29) ) )
& ! [X31] :
( ? [X32] :
( p3(X32)
& ? [X33] :
( ~ p3(X33)
& r1(X32,X33) )
& r1(X31,X32) )
| p3(X31)
| ~ r1(sK103,X31) )
& ? [X34] :
( ~ p3(X34)
& r1(sK103,X34) )
& ( ( sP0(sK103)
& ? [X35] :
( ~ p2(X35)
& r1(sK103,X35) ) )
| sP1(sK103) ) ) ),
introduced(choice_axiom,[]) ).
fof(f240,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(sK104(X1),X3) )
& ~ p2(sK104(X1))
& r1(X1,sK104(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f241,plain,
( ? [X5] :
( sP42(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(sK103,X5) )
=> ( sP42(sK105)
& ? [X6] : r1(sK105,X6)
& ~ p1(sK105)
& r1(sK103,sK105) ) ),
introduced(choice_axiom,[]) ).
fof(f242,plain,
( ? [X6] : r1(sK105,X6)
=> r1(sK105,sK106) ),
introduced(choice_axiom,[]) ).
fof(f243,plain,
( ? [X11] :
( sP35(X11)
& sP34(X11)
& ~ p1(X11)
& r1(sK103,X11) )
=> ( sP35(sK107)
& sP34(sK107)
& ~ p1(sK107)
& r1(sK103,sK107) ) ),
introduced(choice_axiom,[]) ).
fof(f244,plain,
( ? [X20] :
( sP20(X20)
& sP19(X20)
& ~ p1(X20)
& r1(sK103,X20) )
=> ( sP20(sK108)
& sP19(sK108)
& ~ p1(sK108)
& r1(sK103,sK108) ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
( ? [X24] :
( sP14(X24)
& sP13(X24)
& r1(sK103,X24) )
=> ( sP14(sK109)
& sP13(sK109)
& r1(sK103,sK109) ) ),
introduced(choice_axiom,[]) ).
fof(f246,plain,
! [X25] :
( ? [X26] :
( p1(X26)
& ? [X27] :
( ~ p1(X27)
& r1(X26,X27) )
& r1(X25,X26) )
=> ( p1(sK110(X25))
& ? [X27] :
( ~ p1(X27)
& r1(sK110(X25),X27) )
& r1(X25,sK110(X25)) ) ),
introduced(choice_axiom,[]) ).
fof(f247,plain,
! [X25] :
( ? [X27] :
( ~ p1(X27)
& r1(sK110(X25),X27) )
=> ( ~ p1(sK111(X25))
& r1(sK110(X25),sK111(X25)) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
( ? [X28] :
( ~ p1(X28)
& r1(sK103,X28) )
=> ( ~ p1(sK112)
& r1(sK103,sK112) ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
! [X29] :
( ? [X30] :
( p5(X30)
& r1(X29,X30) )
=> ( p5(sK113(X29))
& r1(X29,sK113(X29)) ) ),
introduced(choice_axiom,[]) ).
fof(f250,plain,
! [X31] :
( ? [X32] :
( p3(X32)
& ? [X33] :
( ~ p3(X33)
& r1(X32,X33) )
& r1(X31,X32) )
=> ( p3(sK114(X31))
& ? [X33] :
( ~ p3(X33)
& r1(sK114(X31),X33) )
& r1(X31,sK114(X31)) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
! [X31] :
( ? [X33] :
( ~ p3(X33)
& r1(sK114(X31),X33) )
=> ( ~ p3(sK115(X31))
& r1(sK114(X31),sK115(X31)) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X34] :
( ~ p3(X34)
& r1(sK103,X34) )
=> ( ~ p3(sK116)
& r1(sK103,sK116) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X35] :
( ~ p2(X35)
& r1(sK103,X35) )
=> ( ~ p2(sK117)
& r1(sK103,sK117) ) ),
introduced(choice_axiom,[]) ).
fof(f238,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] :
( sP42(X5)
& ? [X6] : r1(X5,X6)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( sP41(X0)
| ! [X8] : ~ r1(X0,X8)
| p1(X0)
| p2(X0) )
& ( sP39(X0)
| ! [X9] : ~ r1(X0,X9)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP37(X0)
| ! [X10] : ~ r1(X0,X10)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X11] :
( sP35(X11)
& sP34(X11)
& ~ p1(X11)
& r1(X0,X11) )
| ! [X12] :
( ! [X13] : ~ r1(X12,X13)
| p1(X12)
| p2(X12)
| p3(X12)
| p4(X12)
| ~ r1(X0,X12) )
| p1(X0) )
& ( sP32(X0)
| ! [X14] :
( ! [X15] : ~ r1(X14,X15)
| p1(X14)
| p2(X14)
| p3(X14)
| p4(X14)
| ~ r1(X0,X14) )
| p1(X0)
| p2(X0) )
& ( sP28(X0)
| ! [X16] :
( ! [X17] : ~ r1(X16,X17)
| p1(X16)
| p2(X16)
| p3(X16)
| p4(X16)
| ~ r1(X0,X16) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP24(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] :
( sP20(X20)
& sP19(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] :
( sP14(X24)
& sP13(X24)
& r1(X0,X24) )
| sP15(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) )
& ( sP3(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) ) )
| sP1(X0) ) ),
inference(rectify,[],[f55]) ).
fof(f55,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] :
( sP42(X5)
& ? [X10] : r1(X5,X10)
& ~ p1(X5)
& r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( sP41(X0)
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( sP39(X0)
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP37(X0)
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ? [X33] :
( sP35(X33)
& sP34(X33)
& ~ p1(X33)
& r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( sP32(X0)
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( sP28(X0)
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( sP24(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] :
( sP20(X77)
& sP19(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] :
( sP14(X92)
& sP13(X92)
& r1(X0,X92) )
| sP15(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) )
& ( sP3(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) ) )
| sP1(X0) ) ),
inference(definition_folding,[],[f9,f54,f53,f52,f51,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]) ).
fof(f12,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(f13,plain,
! [X0] :
( ? [X149] :
( ? [X150] :
( ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
& r1(X149,X150) )
& ~ p1(X149)
& r1(X0,X149) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f16,plain,
! [X0] :
( ! [X127] :
( ! [X128] :
( ? [X129] :
( p2(X129)
& ? [X130] :
( ~ p2(X130)
& r1(X129,X130) )
& r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f17,plain,
! [X0] :
( ? [X122] :
( p2(X122)
& ? [X123] :
( ~ p2(X123)
& r1(X122,X123) )
& r1(X0,X122) )
| p2(X0)
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f18,plain,
! [X92] :
( ? [X118] :
( ? [X119] :
( ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
& ~ p2(X119)
& r1(X118,X119) )
& r1(X92,X118) )
| ~ sP6(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f19,plain,
! [X92] :
( ! [X115] :
( ? [X116] :
( p2(X116)
& ? [X117] :
( ~ p2(X117)
& r1(X116,X117) )
& r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ~ sP7(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f20,plain,
! [X103] :
( ! [X109] :
( ! [X110] :
( ? [X111] :
( p2(X111)
& ? [X112] :
( ~ p2(X112)
& r1(X111,X112) )
& r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) )
| ~ sP8(X103) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f21,plain,
! [X103] :
( ? [X104] :
( p2(X104)
& ? [X105] :
( ~ p2(X105)
& r1(X104,X105) )
& r1(X103,X104) )
| p2(X103)
| ~ sP9(X103) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f22,plain,
! [X93] :
( ? [X99] :
( ? [X100] :
( ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
& ~ p2(X100)
& r1(X99,X100) )
& r1(X93,X99) )
| ~ sP10(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f23,plain,
! [X93] :
( ! [X96] :
( ? [X97] :
( p2(X97)
& ? [X98] :
( ~ p2(X98)
& r1(X97,X98) )
& r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ~ sP11(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f24,plain,
! [X93] :
( ! [X103] :
( ( sP9(X103)
& ( ? [X106] :
( ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
& ~ p2(X106)
& r1(X103,X106) )
| sP8(X103) ) )
| ~ r1(X93,X103) )
| ~ sP12(X93) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f25,plain,
! [X92] :
( ( ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
& ~ p2(X92) )
| ( sP7(X92)
& sP6(X92) )
| ~ sP13(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f26,plain,
! [X92] :
( ! [X93] :
( ( ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
& ~ p2(X93) )
| ( sP11(X93)
& sP10(X93) )
| sP12(X93)
| ~ r1(X92,X93) )
| ~ sP14(X92) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f27,plain,
! [X0] :
( ( sP5(X0)
& ( ? [X124] :
( ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
& ~ p2(X124)
& r1(X0,X124) )
| sP4(X0) ) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f28,plain,
! [X86] :
( ? [X87] :
( ? [X88] : r1(X87,X88)
& ~ p1(X87)
& ~ p2(X87)
& ~ p3(X87)
& ~ p4(X87)
& r1(X86,X87) )
| ~ sP16(X86) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f29,plain,
! [X79] :
( ? [X80] :
( ? [X81] : r1(X80,X81)
& ~ p1(X80)
& ~ p2(X80)
& ~ p3(X80)
& ~ p4(X80)
& r1(X79,X80) )
| ~ sP17(X79) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f30,plain,
! [X78] :
( ? [X79] :
( sP17(X79)
& ~ p1(X79)
& ~ p2(X79)
& ~ p3(X79)
& ~ p4(X79)
& r1(X78,X79) )
| ~ sP18(X78) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f31,plain,
! [X77] :
( ? [X86] :
( sP16(X86)
& ~ p1(X86)
& ~ p2(X86)
& ~ p3(X86)
& ~ p4(X86)
& r1(X77,X86) )
| ~ sP19(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f32,plain,
! [X77] :
( ! [X78] :
( ( sP18(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) )
| ~ sP20(X77) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f33,plain,
! [X67] :
( ? [X68] :
( ? [X69] : r1(X68,X69)
& ~ p1(X68)
& ~ p2(X68)
& ~ p3(X68)
& ~ p4(X68)
& r1(X67,X68) )
| ~ sP21(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f34,plain,
! [X67] :
( ( sP21(X67)
& ~ p1(X67)
& ~ p2(X67)
& ~ p3(X67)
& ~ p4(X67) )
| ~ sP22(X67) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f35,plain,
! [X66] :
( ? [X73] :
( ? [X74] : r1(X73,X74)
& ~ p1(X73)
& ~ p2(X73)
& ~ p3(X73)
& ~ p4(X73)
& r1(X66,X73) )
| ~ sP23(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f36,plain,
! [X0] :
( ? [X66] :
( ! [X67] :
( sP22(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) )
& sP23(X66)
& ~ p1(X66)
& ~ p2(X66)
& ~ p3(X66)
& ~ p4(X66)
& r1(X0,X66) )
| ~ sP24(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f37,plain,
! [X56] :
( ? [X57] :
( ? [X58] : r1(X57,X58)
& ~ p1(X57)
& ~ p2(X57)
& ~ p3(X57)
& ~ p4(X57)
& r1(X56,X57) )
| ~ sP25(X56) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f38,plain,
! [X55] :
( ? [X62] :
( ? [X63] : r1(X62,X63)
& ~ p1(X62)
& ~ p2(X62)
& ~ p3(X62)
& ~ p4(X62)
& r1(X55,X62) )
| ~ sP26(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f39,plain,
! [X55] :
( ! [X56] :
( ( sP25(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) )
| ~ sP27(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f40,plain,
! [X0] :
( ? [X55] :
( sP27(X55)
& sP26(X55)
& ~ p1(X55)
& ~ p2(X55)
& ~ p3(X55)
& r1(X0,X55) )
| ~ sP28(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f41,plain,
! [X45] :
( ? [X46] :
( ? [X47] : r1(X46,X47)
& ~ p1(X46)
& ~ p2(X46)
& ~ p3(X46)
& ~ p4(X46)
& r1(X45,X46) )
| ~ sP29(X45) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f42,plain,
! [X44] :
( ? [X51] :
( ? [X52] : r1(X51,X52)
& ~ p1(X51)
& ~ p2(X51)
& ~ p3(X51)
& ~ p4(X51)
& r1(X44,X51) )
| ~ sP30(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f43,plain,
! [X44] :
( ! [X45] :
( ( sP29(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) )
| ~ sP31(X44) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f44,plain,
! [X0] :
( ? [X44] :
( sP31(X44)
& sP30(X44)
& ~ p1(X44)
& ~ p2(X44)
& r1(X0,X44) )
| ~ sP32(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f45,plain,
! [X34] :
( ? [X35] :
( ? [X36] : r1(X35,X36)
& ~ p1(X35)
& ~ p2(X35)
& ~ p3(X35)
& ~ p4(X35)
& r1(X34,X35) )
| ~ sP33(X34) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f46,plain,
! [X33] :
( ? [X40] :
( ? [X41] : r1(X40,X41)
& ~ p1(X40)
& ~ p2(X40)
& ~ p3(X40)
& ~ p4(X40)
& r1(X33,X40) )
| ~ sP34(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f47,plain,
! [X33] :
( ! [X34] :
( ( sP33(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) )
| ~ sP35(X33) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f48,plain,
! [X27] :
( ( ? [X28] : r1(X27,X28)
& ~ p1(X27)
& ~ p2(X27)
& ~ p3(X27)
& ~ p4(X27) )
| ~ sP36(X27) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f49,plain,
! [X0] :
( ? [X26] :
( ! [X27] :
( sP36(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) )
| ~ sP37(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f50,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) )
| ~ sP38(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f51,plain,
! [X0] :
( ? [X19] :
( sP38(X19)
& ? [X24] : r1(X19,X24)
& ~ p1(X19)
& ~ p2(X19)
& ~ p3(X19)
& r1(X0,X19) )
| ~ sP39(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f52,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) )
| ~ sP40(X12) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f53,plain,
! [X0] :
( ? [X12] :
( sP40(X12)
& ? [X17] : r1(X12,X17)
& ~ p1(X12)
& ~ p2(X12)
& r1(X0,X12) )
| ~ sP41(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f54,plain,
! [X5] :
( ! [X6] :
( ( ? [X7] : r1(X6,X7)
& ~ p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ~ sP42(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f9,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] :
( ? [X150] :
( ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
& r1(X149,X150) )
& ~ p1(X149)
& r1(X0,X149) ) ) ),
inference(flattening,[],[f8]) ).
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] :
( ? [X150] :
( ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
& r1(X149,X150) )
& ~ p1(X149)
& r1(X0,X149) ) ) ),
inference(ennf_transformation,[],[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] :
( ! [X150] :
( ~ ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| p1(X149)
| ~ r1(X0,X149) ) ) ),
inference(flattening,[],[f6]) ).
fof(f6,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ! [X7] : ~ r1(X6,X7)
| p1(X6) )
| ! [X8] :
( ! [X9] : ~ r1(X8,X9)
| p1(X8)
| ~ r1(X6,X8) )
| ~ r1(X5,X6) )
| ! [X10] : ~ r1(X5,X10)
| p1(X5)
| ~ r1(X0,X5) )
| ! [X11] : ~ r1(X0,X11)
| p1(X0) )
& ( ~ ! [X12] :
( ~ ! [X13] :
( ~ ( ! [X14] : ~ r1(X13,X14)
| p1(X13)
| p2(X13) )
| ! [X15] :
( ! [X16] : ~ r1(X15,X16)
| p1(X15)
| p2(X15)
| ~ r1(X13,X15) )
| ~ r1(X12,X13) )
| ! [X17] : ~ r1(X12,X17)
| p1(X12)
| p2(X12)
| ~ r1(X0,X12) )
| ! [X18] : ~ r1(X0,X18)
| p1(X0)
| p2(X0) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ ( ! [X21] : ~ r1(X20,X21)
| p1(X20)
| p2(X20)
| p3(X20) )
| ! [X22] :
( ! [X23] : ~ r1(X22,X23)
| p1(X22)
| p2(X22)
| p3(X22)
| ~ r1(X20,X22) )
| ~ r1(X19,X20) )
| ! [X24] : ~ r1(X19,X24)
| p1(X19)
| p2(X19)
| p3(X19)
| ~ r1(X0,X19) )
| ! [X25] : ~ r1(X0,X25)
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X26] :
( ~ ! [X27] :
( ~ ( ! [X28] : ~ r1(X27,X28)
| p1(X27)
| p2(X27)
| p3(X27)
| p4(X27) )
| ! [X29] :
( ! [X30] : ~ r1(X29,X30)
| p1(X29)
| p2(X29)
| p3(X29)
| p4(X29)
| ~ r1(X27,X29) )
| ~ r1(X26,X27) )
| ! [X31] : ~ r1(X26,X31)
| p1(X26)
| p2(X26)
| p3(X26)
| p4(X26)
| ~ r1(X0,X26) )
| ! [X32] : ~ r1(X0,X32)
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X33] :
( ~ ! [X34] :
( ~ ( ! [X35] :
( ! [X36] : ~ r1(X35,X36)
| p1(X35)
| p2(X35)
| p3(X35)
| p4(X35)
| ~ r1(X34,X35) )
| p1(X34) )
| ! [X37] :
( ! [X38] :
( ! [X39] : ~ r1(X38,X39)
| p1(X38)
| p2(X38)
| p3(X38)
| p4(X38)
| ~ r1(X37,X38) )
| p1(X37)
| ~ r1(X34,X37) )
| ~ r1(X33,X34) )
| ! [X40] :
( ! [X41] : ~ r1(X40,X41)
| p1(X40)
| p2(X40)
| p3(X40)
| p4(X40)
| ~ r1(X33,X40) )
| p1(X33)
| ~ r1(X0,X33) )
| ! [X42] :
( ! [X43] : ~ r1(X42,X43)
| p1(X42)
| p2(X42)
| p3(X42)
| p4(X42)
| ~ r1(X0,X42) )
| p1(X0) )
& ( ~ ! [X44] :
( ~ ! [X45] :
( ~ ( ! [X46] :
( ! [X47] : ~ r1(X46,X47)
| p1(X46)
| p2(X46)
| p3(X46)
| p4(X46)
| ~ r1(X45,X46) )
| p1(X45)
| p2(X45) )
| ! [X48] :
( ! [X49] :
( ! [X50] : ~ r1(X49,X50)
| p1(X49)
| p2(X49)
| p3(X49)
| p4(X49)
| ~ r1(X48,X49) )
| p1(X48)
| p2(X48)
| ~ r1(X45,X48) )
| ~ r1(X44,X45) )
| ! [X51] :
( ! [X52] : ~ r1(X51,X52)
| p1(X51)
| p2(X51)
| p3(X51)
| p4(X51)
| ~ r1(X44,X51) )
| p1(X44)
| p2(X44)
| ~ r1(X0,X44) )
| ! [X53] :
( ! [X54] : ~ r1(X53,X54)
| p1(X53)
| p2(X53)
| p3(X53)
| p4(X53)
| ~ r1(X0,X53) )
| p1(X0)
| p2(X0) )
& ( ~ ! [X55] :
( ~ ! [X56] :
( ~ ( ! [X57] :
( ! [X58] : ~ r1(X57,X58)
| p1(X57)
| p2(X57)
| p3(X57)
| p4(X57)
| ~ r1(X56,X57) )
| p1(X56)
| p2(X56)
| p3(X56) )
| ! [X59] :
( ! [X60] :
( ! [X61] : ~ r1(X60,X61)
| p1(X60)
| p2(X60)
| p3(X60)
| p4(X60)
| ~ r1(X59,X60) )
| p1(X59)
| p2(X59)
| p3(X59)
| ~ r1(X56,X59) )
| ~ r1(X55,X56) )
| ! [X62] :
( ! [X63] : ~ r1(X62,X63)
| p1(X62)
| p2(X62)
| p3(X62)
| p4(X62)
| ~ r1(X55,X62) )
| p1(X55)
| p2(X55)
| p3(X55)
| ~ r1(X0,X55) )
| ! [X64] :
( ! [X65] : ~ r1(X64,X65)
| p1(X64)
| p2(X64)
| p3(X64)
| p4(X64)
| ~ r1(X0,X64) )
| p1(X0)
| p2(X0)
| p3(X0) )
& ( ~ ! [X66] :
( ~ ! [X67] :
( ~ ( ! [X68] :
( ! [X69] : ~ r1(X68,X69)
| p1(X68)
| p2(X68)
| p3(X68)
| p4(X68)
| ~ r1(X67,X68) )
| p1(X67)
| p2(X67)
| p3(X67)
| p4(X67) )
| ! [X70] :
( ! [X71] :
( ! [X72] : ~ r1(X71,X72)
| p1(X71)
| p2(X71)
| p3(X71)
| p4(X71)
| ~ r1(X70,X71) )
| p1(X70)
| p2(X70)
| p3(X70)
| p4(X70)
| ~ r1(X67,X70) )
| ~ r1(X66,X67) )
| ! [X73] :
( ! [X74] : ~ r1(X73,X74)
| p1(X73)
| p2(X73)
| p3(X73)
| p4(X73)
| ~ r1(X66,X73) )
| p1(X66)
| p2(X66)
| p3(X66)
| p4(X66)
| ~ r1(X0,X66) )
| ! [X75] :
( ! [X76] : ~ r1(X75,X76)
| p1(X75)
| p2(X75)
| p3(X75)
| p4(X75)
| ~ r1(X0,X75) )
| p1(X0)
| p2(X0)
| p3(X0)
| p4(X0) )
& ( ~ ! [X77] :
( ~ ! [X78] :
( ~ ( ! [X79] :
( ! [X80] :
( ! [X81] : ~ r1(X80,X81)
| p1(X80)
| p2(X80)
| p3(X80)
| p4(X80)
| ~ r1(X79,X80) )
| p1(X79)
| p2(X79)
| p3(X79)
| p4(X79)
| ~ r1(X78,X79) )
| p1(X78) )
| ! [X82] :
( ! [X83] :
( ! [X84] :
( ! [X85] : ~ r1(X84,X85)
| p1(X84)
| p2(X84)
| p3(X84)
| p4(X84)
| ~ r1(X83,X84) )
| p1(X83)
| p2(X83)
| p3(X83)
| p4(X83)
| ~ r1(X82,X83) )
| p1(X82)
| ~ r1(X78,X82) )
| ~ r1(X77,X78) )
| ! [X86] :
( ! [X87] :
( ! [X88] : ~ r1(X87,X88)
| p1(X87)
| p2(X87)
| p3(X87)
| p4(X87)
| ~ r1(X86,X87) )
| p1(X86)
| p2(X86)
| p3(X86)
| p4(X86)
| ~ r1(X77,X86) )
| p1(X77)
| ~ r1(X0,X77) )
| ! [X89] :
( ! [X90] :
( ! [X91] : ~ r1(X90,X91)
| p1(X90)
| p2(X90)
| p3(X90)
| p4(X90)
| ~ r1(X89,X90) )
| p1(X89)
| p2(X89)
| p3(X89)
| p4(X89)
| ~ r1(X0,X89) )
| p1(X0) )
& ( ~ ! [X92] :
( ~ ! [X93] :
( ~ ( ( ~ ! [X94] :
( ~ p2(X94)
| ! [X95] :
( p2(X95)
| ~ r1(X94,X95) )
| ~ r1(X93,X94) )
| p2(X93) )
& ( ~ ! [X96] :
( ~ ! [X97] :
( ~ p2(X97)
| ! [X98] :
( p2(X98)
| ~ r1(X97,X98) )
| ~ r1(X96,X97) )
| p2(X96)
| ~ r1(X93,X96) )
| ! [X99] :
( ! [X100] :
( ~ ! [X101] :
( ~ p2(X101)
| ! [X102] :
( p2(X102)
| ~ r1(X101,X102) )
| ~ r1(X100,X101) )
| p2(X100)
| ~ r1(X99,X100) )
| ~ r1(X93,X99) ) ) )
| ! [X103] :
( ( ( ~ ! [X104] :
( ~ p2(X104)
| ! [X105] :
( p2(X105)
| ~ r1(X104,X105) )
| ~ r1(X103,X104) )
| p2(X103) )
& ( ~ ! [X106] :
( ~ ! [X107] :
( ~ p2(X107)
| ! [X108] :
( p2(X108)
| ~ r1(X107,X108) )
| ~ r1(X106,X107) )
| p2(X106)
| ~ r1(X103,X106) )
| ! [X109] :
( ! [X110] :
( ~ ! [X111] :
( ~ p2(X111)
| ! [X112] :
( p2(X112)
| ~ r1(X111,X112) )
| ~ r1(X110,X111) )
| p2(X110)
| ~ r1(X109,X110) )
| ~ r1(X103,X109) ) ) )
| ~ r1(X93,X103) )
| ~ r1(X92,X93) )
| ( ( ~ ! [X113] :
( ~ p2(X113)
| ! [X114] :
( p2(X114)
| ~ r1(X113,X114) )
| ~ r1(X92,X113) )
| p2(X92) )
& ( ~ ! [X115] :
( ~ ! [X116] :
( ~ p2(X116)
| ! [X117] :
( p2(X117)
| ~ r1(X116,X117) )
| ~ r1(X115,X116) )
| p2(X115)
| ~ r1(X92,X115) )
| ! [X118] :
( ! [X119] :
( ~ ! [X120] :
( ~ p2(X120)
| ! [X121] :
( p2(X121)
| ~ r1(X120,X121) )
| ~ r1(X119,X120) )
| p2(X119)
| ~ r1(X118,X119) )
| ~ r1(X92,X118) ) ) )
| ~ r1(X0,X92) )
| ( ( ~ ! [X122] :
( ~ p2(X122)
| ! [X123] :
( p2(X123)
| ~ r1(X122,X123) )
| ~ r1(X0,X122) )
| p2(X0) )
& ( ~ ! [X124] :
( ~ ! [X125] :
( ~ p2(X125)
| ! [X126] :
( p2(X126)
| ~ r1(X125,X126) )
| ~ r1(X124,X125) )
| p2(X124)
| ~ r1(X0,X124) )
| ! [X127] :
( ! [X128] :
( ~ ! [X129] :
( ~ p2(X129)
| ! [X130] :
( p2(X130)
| ~ r1(X129,X130) )
| ~ r1(X128,X129) )
| p2(X128)
| ~ r1(X127,X128) )
| ~ r1(X0,X127) ) ) ) ) )
| ~ ! [X131] :
( ~ ! [X132] :
( ~ p1(X132)
| ! [X133] :
( p1(X133)
| ~ r1(X132,X133) )
| ~ r1(X131,X132) )
| p1(X131)
| ~ r1(X0,X131) )
| ! [X134] :
( p1(X134)
| ~ r1(X0,X134) )
| ( ( ~ ! [X135] :
( ~ ! [X136] :
( ~ p2(X136)
| ! [X137] :
( p2(X137)
| ~ r1(X136,X137) )
| ~ r1(X135,X136) )
| p2(X135)
| ~ r1(X0,X135) )
| ! [X138] :
( p2(X138)
| ~ r1(X0,X138) ) )
& ~ ! [X139] :
( ~ ! [X140] :
( ~ 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] :
( ! [X150] :
( ~ ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| p1(X149)
| ~ r1(X0,X149) ) ) ),
inference(true_and_false_elimination,[],[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] :
( $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] :
( ! [X150] :
( ~ ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
| ~ r1(X149,X150) )
| p1(X149)
| ~ r1(X0,X149) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,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] :
( ! [X0] :
( ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f3]) ).
fof(f3,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] :
( ! [X0] :
( ~ ! [X1] :
( ~ p5(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f3251,plain,
( p2(sK104(sK117))
| ~ spl118_415 ),
inference(avatar_component_clause,[],[f3249]) ).
fof(f3249,plain,
( spl118_415
<=> p2(sK104(sK117)) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_415])]) ).
fof(f69858,plain,
( ~ spl118_34
| spl118_35
| ~ spl118_36
| ~ spl118_8772 ),
inference(avatar_contradiction_clause,[],[f69857]) ).
fof(f69857,plain,
( $false
| ~ spl118_34
| spl118_35
| ~ spl118_36
| ~ spl118_8772 ),
inference(subsumption_resolution,[],[f69856,f64926]) ).
fof(f64926,plain,
( r1(sK103,sK104(sK117))
| spl118_35
| ~ spl118_36 ),
inference(subsumption_resolution,[],[f64925,f662]) ).
fof(f64925,plain,
( r1(sK103,sK104(sK117))
| ~ r1(sK103,sK117)
| spl118_35
| ~ spl118_36 ),
inference(subsumption_resolution,[],[f64919,f657]) ).
fof(f64919,plain,
( r1(sK103,sK104(sK117))
| p2(sK117)
| ~ r1(sK103,sK117)
| ~ spl118_36 ),
inference(resolution,[],[f64743,f494]) ).
fof(f494,plain,
! [X1] :
( r1(X1,sK104(X1))
| p2(X1)
| ~ r1(sK103,X1) ),
inference(cnf_transformation,[],[f254]) ).
fof(f64743,plain,
( ! [X0] :
( ~ r1(sK117,X0)
| r1(sK103,X0) )
| ~ spl118_36 ),
inference(resolution,[],[f662,f498]) ).
fof(f69856,plain,
( ~ r1(sK103,sK104(sK117))
| ~ spl118_34
| ~ spl118_8772 ),
inference(resolution,[],[f67914,f652]) ).
fof(f652,plain,
( sP0(sK103)
| ~ spl118_34 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f650,plain,
( spl118_34
<=> sP0(sK103) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_34])]) ).
fof(f67914,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK104(sK117)) )
| ~ spl118_8772 ),
inference(avatar_component_clause,[],[f67913]) ).
fof(f67913,plain,
( spl118_8772
<=> ! [X0] :
( ~ r1(X0,sK104(sK117))
| ~ sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_8772])]) ).
fof(f67915,plain,
( spl118_8772
| spl118_415
| ~ spl118_8768 ),
inference(avatar_split_clause,[],[f67910,f67876,f3249,f67913]) ).
fof(f67876,plain,
( spl118_8768
<=> p2(sK102(sK104(sK117))) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_8768])]) ).
fof(f67910,plain,
( ! [X0] :
( p2(sK104(sK117))
| ~ r1(X0,sK104(sK117))
| ~ sP0(X0) )
| ~ spl118_8768 ),
inference(resolution,[],[f67878,f454]) ).
fof(f454,plain,
! [X0,X1] :
( ~ p2(sK102(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( ! [X1] :
( ( p2(sK101(X1))
& ~ p2(sK102(X1))
& r1(sK101(X1),sK102(X1))
& r1(X1,sK101(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK101,sK102])],[f234,f236,f235]) ).
fof(f235,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK101(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK101(X1),X3) )
& r1(X1,sK101(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f236,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK101(X1),X3) )
=> ( ~ p2(sK102(X1))
& r1(sK101(X1),sK102(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f234,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f233]) ).
fof(f233,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,[],[f12]) ).
fof(f67878,plain,
( p2(sK102(sK104(sK117)))
| ~ spl118_8768 ),
inference(avatar_component_clause,[],[f67876]) ).
fof(f67879,plain,
( spl118_415
| spl118_8768
| ~ spl118_34
| spl118_35
| ~ spl118_36
| ~ spl118_8400 ),
inference(avatar_split_clause,[],[f67874,f65418,f660,f655,f650,f67876,f3249]) ).
fof(f65418,plain,
( spl118_8400
<=> ! [X0] :
( p2(X0)
| ~ r1(sK101(sK104(sK117)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_8400])]) ).
fof(f67874,plain,
( p2(sK102(sK104(sK117)))
| p2(sK104(sK117))
| ~ spl118_34
| spl118_35
| ~ spl118_36
| ~ spl118_8400 ),
inference(subsumption_resolution,[],[f67859,f64926]) ).
fof(f67859,plain,
( p2(sK102(sK104(sK117)))
| ~ r1(sK103,sK104(sK117))
| p2(sK104(sK117))
| ~ spl118_34
| ~ spl118_8400 ),
inference(resolution,[],[f65419,f64736]) ).
fof(f64736,plain,
( ! [X0] :
( r1(sK101(X0),sK102(X0))
| ~ r1(sK103,X0)
| p2(X0) )
| ~ spl118_34 ),
inference(resolution,[],[f652,f453]) ).
fof(f453,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK101(X1),sK102(X1)) ),
inference(cnf_transformation,[],[f237]) ).
fof(f65419,plain,
( ! [X0] :
( ~ r1(sK101(sK104(sK117)),X0)
| p2(X0) )
| ~ spl118_8400 ),
inference(avatar_component_clause,[],[f65418]) ).
fof(f67858,plain,
( spl118_35
| ~ spl118_36
| ~ spl118_8391
| ~ spl118_8399 ),
inference(avatar_contradiction_clause,[],[f67857]) ).
fof(f67857,plain,
( $false
| spl118_35
| ~ spl118_36
| ~ spl118_8391
| ~ spl118_8399 ),
inference(subsumption_resolution,[],[f67856,f657]) ).
fof(f67856,plain,
( p2(sK117)
| ~ spl118_36
| ~ spl118_8391
| ~ spl118_8399 ),
inference(subsumption_resolution,[],[f67855,f662]) ).
fof(f67855,plain,
( ~ r1(sK103,sK117)
| p2(sK117)
| ~ spl118_8391
| ~ spl118_8399 ),
inference(resolution,[],[f65416,f65317]) ).
fof(f65317,plain,
( r1(sK104(sK117),sK101(sK104(sK117)))
| ~ spl118_8391 ),
inference(avatar_component_clause,[],[f65315]) ).
fof(f65315,plain,
( spl118_8391
<=> r1(sK104(sK117),sK101(sK104(sK117))) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_8391])]) ).
fof(f65416,plain,
( ! [X1] :
( ~ r1(sK104(X1),sK101(sK104(sK117)))
| ~ r1(sK103,X1)
| p2(X1) )
| ~ spl118_8399 ),
inference(avatar_component_clause,[],[f65415]) ).
fof(f65415,plain,
( spl118_8399
<=> ! [X1] :
( ~ r1(sK104(X1),sK101(sK104(sK117)))
| ~ r1(sK103,X1)
| p2(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_8399])]) ).
fof(f65420,plain,
( spl118_8399
| spl118_8400
| ~ spl118_414 ),
inference(avatar_split_clause,[],[f65413,f3245,f65418,f65415]) ).
fof(f3245,plain,
( spl118_414
<=> p2(sK101(sK104(sK117))) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_414])]) ).
fof(f65413,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK101(sK104(sK117)),X0)
| ~ r1(sK104(X1),sK101(sK104(sK117)))
| p2(X1)
| ~ r1(sK103,X1) )
| ~ spl118_414 ),
inference(resolution,[],[f3247,f496]) ).
fof(f496,plain,
! [X3,X1,X4] :
( ~ p2(X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK104(X1),X3)
| p2(X1)
| ~ r1(sK103,X1) ),
inference(cnf_transformation,[],[f254]) ).
fof(f3247,plain,
( p2(sK101(sK104(sK117)))
| ~ spl118_414 ),
inference(avatar_component_clause,[],[f3245]) ).
fof(f65318,plain,
( spl118_8391
| spl118_415
| ~ spl118_34
| spl118_35
| ~ spl118_36 ),
inference(avatar_split_clause,[],[f65185,f660,f655,f650,f3249,f65315]) ).
fof(f65185,plain,
( p2(sK104(sK117))
| r1(sK104(sK117),sK101(sK104(sK117)))
| ~ spl118_34
| spl118_35
| ~ spl118_36 ),
inference(resolution,[],[f64737,f64926]) ).
fof(f64737,plain,
( ! [X0] :
( ~ r1(sK103,X0)
| p2(X0)
| r1(X0,sK101(X0)) )
| ~ spl118_34 ),
inference(resolution,[],[f652,f452]) ).
fof(f452,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK101(X1)) ),
inference(cnf_transformation,[],[f237]) ).
fof(f65145,plain,
( spl118_414
| spl118_415
| ~ spl118_34
| spl118_35
| ~ spl118_36 ),
inference(avatar_split_clause,[],[f65125,f660,f655,f650,f3249,f3245]) ).
fof(f65125,plain,
( p2(sK104(sK117))
| p2(sK101(sK104(sK117)))
| ~ spl118_34
| spl118_35
| ~ spl118_36 ),
inference(resolution,[],[f64926,f64738]) ).
fof(f64738,plain,
( ! [X0] :
( ~ r1(sK103,X0)
| p2(X0)
| p2(sK101(X0)) )
| ~ spl118_34 ),
inference(resolution,[],[f652,f455]) ).
fof(f455,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK101(X1)) ),
inference(cnf_transformation,[],[f237]) ).
fof(f16700,plain,
( spl118_2008
| spl118_2007
| ~ spl118_1973 ),
inference(avatar_split_clause,[],[f16688,f16403,f16694,f16698]) ).
fof(f16403,plain,
( spl118_1973
<=> p2(sK97(sK104(sK96(sK103)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_1973])]) ).
fof(f16688,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(sK97(sK104(sK96(sK103))),X0)
| ~ r1(sK104(X1),sK97(sK104(sK96(sK103))))
| p2(X1)
| ~ r1(sK103,X1) )
| ~ spl118_1973 ),
inference(resolution,[],[f16405,f496]) ).
fof(f16405,plain,
( p2(sK97(sK104(sK96(sK103))))
| ~ spl118_1973 ),
inference(avatar_component_clause,[],[f16403]) ).
fof(f16412,plain,
( spl118_126
| ~ spl118_278
| ~ spl118_1970 ),
inference(avatar_contradiction_clause,[],[f16411]) ).
fof(f16411,plain,
( $false
| spl118_126
| ~ spl118_278
| ~ spl118_1970 ),
inference(subsumption_resolution,[],[f16410,f2171]) ).
fof(f16410,plain,
( ~ r1(sK103,sK96(sK103))
| spl118_126
| ~ spl118_1970 ),
inference(subsumption_resolution,[],[f16407,f1281]) ).
fof(f16407,plain,
( p2(sK96(sK103))
| ~ r1(sK103,sK96(sK103))
| ~ spl118_1970 ),
inference(resolution,[],[f16390,f495]) ).
fof(f16390,plain,
( p2(sK104(sK96(sK103)))
| ~ spl118_1970 ),
inference(avatar_component_clause,[],[f16388]) ).
fof(f16406,plain,
( spl118_1973
| spl118_1970
| ~ spl118_31
| ~ spl118_279 ),
inference(avatar_split_clause,[],[f16371,f2174,f637,f16388,f16403]) ).
fof(f16371,plain,
( p2(sK104(sK96(sK103)))
| p2(sK97(sK104(sK96(sK103))))
| ~ spl118_31
| ~ spl118_279 ),
inference(resolution,[],[f2176,f16117]) ).
fof(f16117,plain,
( ! [X0] :
( ~ r1(sK103,X0)
| p2(X0)
| p2(sK97(X0)) )
| ~ spl118_31 ),
inference(resolution,[],[f16114,f447]) ).
fof(f447,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK97(X1)) ),
inference(cnf_transformation,[],[f227]) ).
fof(f16114,plain,
( sP2(sK103)
| ~ spl118_31 ),
inference(resolution,[],[f639,f443]) ).
fof(f16401,plain,
( spl118_1972
| spl118_1970
| ~ spl118_31
| ~ spl118_279 ),
inference(avatar_split_clause,[],[f16370,f2174,f637,f16388,f16398]) ).
fof(f16370,plain,
( p2(sK104(sK96(sK103)))
| r1(sK104(sK96(sK103)),sK97(sK104(sK96(sK103))))
| ~ spl118_31
| ~ spl118_279 ),
inference(resolution,[],[f2176,f16116]) ).
fof(f16116,plain,
( ! [X0] :
( ~ r1(sK103,X0)
| p2(X0)
| r1(X0,sK97(X0)) )
| ~ spl118_31 ),
inference(resolution,[],[f16114,f444]) ).
fof(f444,plain,
! [X0,X1] :
( ~ sP2(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK97(X1)) ),
inference(cnf_transformation,[],[f227]) ).
fof(f16097,plain,
( ~ spl118_30
| ~ spl118_32
| ~ spl118_33
| ~ spl118_399 ),
inference(avatar_contradiction_clause,[],[f16096]) ).
fof(f16096,plain,
( $false
| ~ spl118_30
| ~ spl118_32
| ~ spl118_33
| ~ spl118_399 ),
inference(subsumption_resolution,[],[f16095,f3050]) ).
fof(f3050,plain,
( r1(sK103,sK100(sK103))
| ~ spl118_399 ),
inference(avatar_component_clause,[],[f3049]) ).
fof(f3049,plain,
( spl118_399
<=> r1(sK103,sK100(sK103)) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_399])]) ).
fof(f16095,plain,
( ~ r1(sK103,sK100(sK103))
| ~ spl118_30
| ~ spl118_32
| ~ spl118_33
| ~ spl118_399 ),
inference(subsumption_resolution,[],[f16094,f648]) ).
fof(f648,plain,
( sP1(sK103)
| ~ spl118_33 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f646,plain,
( spl118_33
<=> sP1(sK103) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_33])]) ).
fof(f16094,plain,
( ~ sP1(sK103)
| ~ r1(sK103,sK100(sK103))
| ~ spl118_30
| ~ spl118_32
| ~ spl118_399 ),
inference(resolution,[],[f3483,f643]) ).
fof(f643,plain,
( ! [X29] :
( r1(X29,sK113(X29))
| ~ r1(sK103,X29) )
| ~ spl118_32 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f642,plain,
( spl118_32
<=> ! [X29] :
( r1(X29,sK113(X29))
| ~ r1(sK103,X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_32])]) ).
fof(f3483,plain,
( ! [X0] :
( ~ r1(sK100(X0),sK113(sK100(sK103)))
| ~ sP1(X0) )
| ~ spl118_30
| ~ spl118_399 ),
inference(resolution,[],[f3412,f451]) ).
fof(f451,plain,
! [X3,X0] :
( ~ p5(X3)
| ~ r1(sK100(X0),X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( ( ! [X3] :
( ~ p5(X3)
| ~ r1(sK100(X0),X3) )
& r1(sK99(X0),sK100(X0))
& ~ p1(sK99(X0))
& r1(X0,sK99(X0)) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK99,sK100])],[f229,f231,f230]) ).
fof(f230,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p5(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ p5(X3)
| ~ r1(X2,X3) )
& r1(sK99(X0),X2) )
& ~ p1(sK99(X0))
& r1(X0,sK99(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f231,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p5(X3)
| ~ r1(X2,X3) )
& r1(sK99(X0),X2) )
=> ( ! [X3] :
( ~ p5(X3)
| ~ r1(sK100(X0),X3) )
& r1(sK99(X0),sK100(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p5(X3)
| ~ r1(X2,X3) )
& r1(X1,X2) )
& ~ p1(X1)
& r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ? [X149] :
( ? [X150] :
( ! [X151] :
( ~ p5(X151)
| ~ r1(X150,X151) )
& r1(X149,X150) )
& ~ p1(X149)
& r1(X0,X149) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f13]) ).
fof(f3412,plain,
( p5(sK113(sK100(sK103)))
| ~ spl118_30
| ~ spl118_399 ),
inference(resolution,[],[f3050,f635]) ).
fof(f635,plain,
( ! [X29] :
( ~ r1(sK103,X29)
| p5(sK113(X29)) )
| ~ spl118_30 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f634,plain,
( spl118_30
<=> ! [X29] :
( p5(sK113(X29))
| ~ r1(sK103,X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl118_30])]) ).
fof(f7156,plain,
( spl118_126
| ~ spl118_278
| spl118_279 ),
inference(avatar_contradiction_clause,[],[f7155]) ).
fof(f7155,plain,
( $false
| spl118_126
| ~ spl118_278
| spl118_279 ),
inference(subsumption_resolution,[],[f7154,f2171]) ).
fof(f7154,plain,
( ~ r1(sK103,sK96(sK103))
| spl118_126
| ~ spl118_278
| spl118_279 ),
inference(subsumption_resolution,[],[f7153,f1281]) ).
fof(f7153,plain,
( p2(sK96(sK103))
| ~ r1(sK103,sK96(sK103))
| ~ spl118_278
| spl118_279 ),
inference(subsumption_resolution,[],[f7139,f2175]) ).
fof(f2175,plain,
( ~ r1(sK103,sK104(sK96(sK103)))
| spl118_279 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f7139,plain,
( r1(sK103,sK104(sK96(sK103)))
| p2(sK96(sK103))
| ~ r1(sK103,sK96(sK103))
| ~ spl118_278 ),
inference(resolution,[],[f2290,f494]) ).
fof(f2290,plain,
( ! [X0] :
( ~ r1(sK96(sK103),X0)
| r1(sK103,X0) )
| ~ spl118_278 ),
inference(resolution,[],[f2171,f498]) ).
fof(f3388,plain,
( spl118_399
| ~ spl118_33 ),
inference(avatar_split_clause,[],[f3387,f646,f3049]) ).
fof(f3387,plain,
( r1(sK103,sK100(sK103))
| ~ spl118_33 ),
inference(subsumption_resolution,[],[f3371,f648]) ).
fof(f3371,plain,
( r1(sK103,sK100(sK103))
| ~ sP1(sK103)
| ~ spl118_33 ),
inference(resolution,[],[f3280,f450]) ).
fof(f450,plain,
! [X0] :
( r1(sK99(X0),sK100(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f3280,plain,
( ! [X0] :
( ~ r1(sK99(sK103),X0)
| r1(sK103,X0) )
| ~ spl118_33 ),
inference(resolution,[],[f648,f992]) ).
fof(f992,plain,
! [X0,X1] :
( ~ sP1(X0)
| r1(X0,X1)
| ~ r1(sK99(X0),X1) ),
inference(resolution,[],[f498,f448]) ).
fof(f448,plain,
! [X0] :
( r1(X0,sK99(X0))
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f2260,plain,
( ~ spl118_31
| ~ spl118_126 ),
inference(avatar_contradiction_clause,[],[f2259]) ).
fof(f2259,plain,
( $false
| ~ spl118_31
| ~ spl118_126 ),
inference(subsumption_resolution,[],[f2255,f639]) ).
fof(f2255,plain,
( ~ sP3(sK103)
| ~ spl118_126 ),
inference(resolution,[],[f1282,f442]) ).
fof(f442,plain,
! [X0] :
( ~ p2(sK96(X0))
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f1282,plain,
( p2(sK96(sK103))
| ~ spl118_126 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f663,plain,
( spl118_33
| spl118_36 ),
inference(avatar_split_clause,[],[f456,f660,f646]) ).
fof(f456,plain,
( r1(sK103,sK117)
| sP1(sK103) ),
inference(cnf_transformation,[],[f254]) ).
fof(f658,plain,
( spl118_33
| ~ spl118_35 ),
inference(avatar_split_clause,[],[f457,f655,f646]) ).
fof(f457,plain,
( ~ p2(sK117)
| sP1(sK103) ),
inference(cnf_transformation,[],[f254]) ).
fof(f653,plain,
( spl118_33
| spl118_34 ),
inference(avatar_split_clause,[],[f458,f650,f646]) ).
fof(f458,plain,
( sP0(sK103)
| sP1(sK103) ),
inference(cnf_transformation,[],[f254]) ).
fof(f644,plain,
( spl118_32
| spl118_31 ),
inference(avatar_split_clause,[],[f465,f637,f642]) ).
fof(f465,plain,
! [X29] :
( sP3(sK103)
| r1(X29,sK113(X29))
| ~ r1(sK103,X29) ),
inference(cnf_transformation,[],[f254]) ).
fof(f640,plain,
( spl118_30
| spl118_31 ),
inference(avatar_split_clause,[],[f466,f637,f634]) ).
fof(f466,plain,
! [X29] :
( sP3(sK103)
| p5(sK113(X29))
| ~ r1(sK103,X29) ),
inference(cnf_transformation,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : LCL676+1.010 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.29 % Computer : n020.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon May 20 01:48:22 EDT 2024
% 0.10/0.29 % CPUTime :
% 0.15/0.29 % (17135)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.31 % (17141)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.31 % (17137)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.31 % (17140)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.31 % (17136)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.31 % (17138)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.31 % (17142)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.31 % (17139)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [2]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [3]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [1]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [2]
% 0.15/0.35 TRYING [3]
% 0.15/0.36 TRYING [4]
% 0.15/0.37 TRYING [5]
% 0.15/0.37 TRYING [5]
% 0.15/0.38 TRYING [4]
% 0.15/0.40 TRYING [5]
% 0.15/0.42 TRYING [5]
% 0.15/0.42 TRYING [6]
% 0.15/0.44 TRYING [6]
% 0.15/0.47 TRYING [6]
% 0.15/0.50 TRYING [6]
% 0.15/0.56 TRYING [7]
% 0.15/0.56 TRYING [7]
% 0.15/0.59 TRYING [7]
% 2.38/0.66 TRYING [7]
% 2.89/0.74 TRYING [8]
% 3.38/0.82 TRYING [8]
% 4.45/0.98 TRYING [8]
% 4.45/0.98 TRYING [8]
% 6.60/1.25 TRYING [9]
% 8.73/1.57 TRYING [9]
% 11.73/2.05 TRYING [9]
% 19.07/3.05 TRYING [10]
% 19.72/3.13 TRYING [9]
% 24.61/3.89 TRYING [10]
% 27.26/4.21 % (17141)First to succeed.
% 27.52/4.24 % (17141)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17135"
% 27.52/4.25 % (17141)Refutation found. Thanks to Tanya!
% 27.52/4.25 % SZS status Theorem for theBenchmark
% 27.52/4.25 % SZS output start Proof for theBenchmark
% See solution above
% 27.52/4.25 % (17141)------------------------------
% 27.52/4.25 % (17141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 27.52/4.25 % (17141)Termination reason: Refutation
% 27.52/4.25
% 27.52/4.25 % (17141)Memory used [KB]: 29834
% 27.52/4.25 % (17141)Time elapsed: 3.928 s
% 27.52/4.25 % (17141)Instructions burned: 9077 (million)
% 27.52/4.25 % (17135)Success in time 3.94 s
%------------------------------------------------------------------------------