TSTP Solution File: LCL660+1.001 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL660+1.001 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 07:51:14 EDT 2024
% Result : Theorem 0.22s 0.49s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 97
% Syntax : Number of formulae : 526 ( 3 unt; 0 def)
% Number of atoms : 3149 ( 0 equ)
% Maximal formula atoms : 120 ( 5 avg)
% Number of connectives : 4494 (1871 ~;2040 |; 503 &)
% ( 52 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 31 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 73 ( 72 usr; 53 prp; 0-2 aty)
% Number of functors : 28 ( 28 usr; 5 con; 0-1 aty)
% Number of variables : 937 ( 720 !; 217 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7600,plain,
$false,
inference(avatar_sat_refutation,[],[f194,f199,f204,f212,f216,f224,f229,f234,f500,f550,f656,f801,f941,f944,f952,f969,f2121,f2127,f2151,f2275,f2335,f2536,f2562,f2609,f2617,f2651,f2658,f2685,f2757,f2758,f3624,f3663,f3715,f3971,f4155,f4690,f4712,f4776,f5572,f5602,f5804,f5859,f5887,f5921,f6115,f6116,f6310,f6373,f6663,f6787,f6968,f6973,f7019,f7260,f7288,f7599]) ).
fof(f7599,plain,
( ~ spl49_4
| ~ spl49_9
| spl49_56
| ~ spl49_1070 ),
inference(avatar_contradiction_clause,[],[f7598]) ).
fof(f7598,plain,
( $false
| ~ spl49_4
| ~ spl49_9
| spl49_56
| ~ spl49_1070 ),
inference(subsumption_resolution,[],[f7597,f203]) ).
fof(f203,plain,
( r1(sK38,sK40)
| ~ spl49_4 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f201,plain,
( spl49_4
<=> r1(sK38,sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_4])]) ).
fof(f7597,plain,
( ~ r1(sK38,sK40)
| ~ spl49_4
| ~ spl49_9
| spl49_56
| ~ spl49_1070 ),
inference(resolution,[],[f7409,f223]) ).
fof(f223,plain,
( sP0(sK38)
| ~ spl49_9 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl49_9
<=> sP0(sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_9])]) ).
fof(f7409,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK40) )
| ~ spl49_4
| ~ spl49_9
| spl49_56
| ~ spl49_1070 ),
inference(subsumption_resolution,[],[f7405,f498]) ).
fof(f498,plain,
( ~ p2(sK40)
| spl49_56 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f497,plain,
( spl49_56
<=> p2(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_56])]) ).
fof(f7405,plain,
( ! [X0] :
( p2(sK40)
| ~ r1(X0,sK40)
| ~ sP0(X0) )
| ~ spl49_4
| ~ spl49_9
| spl49_56
| ~ spl49_1070 ),
inference(resolution,[],[f7376,f160]) ).
fof(f160,plain,
! [X0,X1] :
( ~ p2(sK37(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0] :
( ! [X1] :
( ( p2(sK36(X1))
& ~ p2(sK37(X1))
& r1(sK36(X1),sK37(X1))
& r1(X1,sK36(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f86,f88,f87]) ).
fof(f87,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK36(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK36(X1),X3) )
& r1(X1,sK36(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK36(X1),X3) )
=> ( ~ p2(sK37(X1))
& r1(sK36(X1),sK37(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP0(X0) ),
inference(rectify,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
! [X0] :
( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7376,plain,
( p2(sK37(sK40))
| ~ spl49_4
| ~ spl49_9
| spl49_56
| ~ spl49_1070 ),
inference(subsumption_resolution,[],[f7375,f498]) ).
fof(f7375,plain,
( p2(sK37(sK40))
| p2(sK40)
| ~ spl49_4
| ~ spl49_9
| ~ spl49_1070 ),
inference(subsumption_resolution,[],[f7368,f203]) ).
fof(f7368,plain,
( p2(sK37(sK40))
| ~ r1(sK38,sK40)
| p2(sK40)
| ~ spl49_9
| ~ spl49_1070 ),
inference(resolution,[],[f7259,f5935]) ).
fof(f5935,plain,
( ! [X0] :
( r1(sK36(X0),sK37(X0))
| ~ r1(sK38,X0)
| p2(X0) )
| ~ spl49_9 ),
inference(resolution,[],[f223,f159]) ).
fof(f159,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK36(X1),sK37(X1)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f7259,plain,
( ! [X0] :
( ~ r1(sK36(sK40),X0)
| p2(X0) )
| ~ spl49_1070 ),
inference(avatar_component_clause,[],[f7258]) ).
fof(f7258,plain,
( spl49_1070
<=> ! [X0] :
( p2(X0)
| ~ r1(sK36(sK40),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_1070])]) ).
fof(f7288,plain,
( spl49_420
| ~ spl49_2
| ~ spl49_99
| spl49_103
| spl49_419 ),
inference(avatar_split_clause,[],[f7287,f2823,f792,f773,f191,f2827]) ).
fof(f2827,plain,
( spl49_420
<=> ! [X0,X1] :
( ~ r1(X0,X1)
| ~ p2(X0)
| p2(X1)
| ~ r1(sK27(sK40),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_420])]) ).
fof(f191,plain,
( spl49_2
<=> sP13(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_2])]) ).
fof(f773,plain,
( spl49_99
<=> sP5(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_99])]) ).
fof(f792,plain,
( spl49_103
<=> sP11(sK27(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_103])]) ).
fof(f2823,plain,
( spl49_419
<=> sP10(sK27(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_419])]) ).
fof(f7287,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK27(sK40),X0)
| p2(X1)
| ~ p2(X0) )
| ~ spl49_2
| ~ spl49_99
| spl49_103
| spl49_419 ),
inference(subsumption_resolution,[],[f7286,f793]) ).
fof(f793,plain,
( ~ sP11(sK27(sK40))
| spl49_103 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f7286,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK27(sK40),X0)
| sP11(sK27(sK40))
| p2(X1)
| ~ p2(X0) )
| ~ spl49_2
| ~ spl49_99
| spl49_419 ),
inference(subsumption_resolution,[],[f7275,f2824]) ).
fof(f2824,plain,
( ~ sP10(sK27(sK40))
| spl49_419 ),
inference(avatar_component_clause,[],[f2823]) ).
fof(f7275,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK27(sK40),X0)
| sP10(sK27(sK40))
| sP11(sK27(sK40))
| p2(X1)
| ~ p2(X0) )
| ~ spl49_2
| ~ spl49_99 ),
inference(resolution,[],[f6995,f5942]) ).
fof(f5942,plain,
( r1(sK40,sK27(sK40))
| ~ spl49_99 ),
inference(resolution,[],[f775,f139]) ).
fof(f139,plain,
! [X0] :
( ~ sP5(X0)
| r1(X0,sK27(X0)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK28(X0),X3) )
& ~ p2(sK28(X0))
& r1(sK27(X0),sK28(X0))
& r1(X0,sK27(X0)) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28])],[f62,f64,f63]) ).
fof(f63,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK27(X0),X2) )
& r1(X0,sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(sK27(X0),X2) )
=> ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK28(X0),X3) )
& ~ p2(sK28(X0))
& r1(sK27(X0),sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f62,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| ~ sP5(X0) ),
inference(rectify,[],[f61]) ).
fof(f61,plain,
! [X5] :
( ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) )
| ~ sP5(X5) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X5] :
( ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) )
| ~ sP5(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f775,plain,
( sP5(sK40)
| ~ spl49_99 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f6995,plain,
( ! [X2,X0,X1] :
( ~ r1(sK40,X2)
| ~ r1(X1,X0)
| ~ r1(X2,X1)
| sP10(X2)
| sP11(X2)
| p2(X0)
| ~ p2(X1) )
| ~ spl49_2 ),
inference(resolution,[],[f193,f110]) ).
fof(f110,plain,
! [X2,X3,X0,X1] :
( ~ sP13(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| sP10(X1)
| sP11(X1)
| ~ r1(X0,X1)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1) )
| ( sP10(X1)
& sP9(X1) )
| sP11(X1)
| ~ r1(X0,X1) )
| ~ sP13(X0) ),
inference(rectify,[],[f28]) ).
fof(f28,plain,
! [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( sP10(X6)
& sP9(X6) )
| sP11(X6)
| ~ r1(X5,X6) )
| ~ sP13(X5) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X5] :
( ! [X6] :
( ( ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( sP10(X6)
& sP9(X6) )
| sP11(X6)
| ~ r1(X5,X6) )
| ~ sP13(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f193,plain,
( sP13(sK40)
| ~ spl49_2 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f7260,plain,
( ~ spl49_1026
| spl49_1070
| ~ spl49_78
| ~ spl49_100 ),
inference(avatar_split_clause,[],[f7254,f777,f653,f7258,f6970]) ).
fof(f6970,plain,
( spl49_1026
<=> r1(sK40,sK36(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_1026])]) ).
fof(f653,plain,
( spl49_78
<=> p2(sK36(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_78])]) ).
fof(f777,plain,
( spl49_100
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK40,X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_100])]) ).
fof(f7254,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK40,sK36(sK40))
| ~ r1(sK36(sK40),X0) )
| ~ spl49_78
| ~ spl49_100 ),
inference(resolution,[],[f655,f778]) ).
fof(f778,plain,
( ! [X0,X1] :
( ~ p2(X1)
| p2(X0)
| ~ r1(sK40,X1)
| ~ r1(X1,X0) )
| ~ spl49_100 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f655,plain,
( p2(sK36(sK40))
| ~ spl49_78 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f7019,plain,
( ~ spl49_101
| ~ spl49_2
| ~ spl49_99
| spl49_103
| spl49_419 ),
inference(avatar_split_clause,[],[f7018,f2823,f792,f773,f191,f784]) ).
fof(f784,plain,
( spl49_101
<=> p2(sK27(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_101])]) ).
fof(f7018,plain,
( ~ p2(sK27(sK40))
| ~ spl49_2
| ~ spl49_99
| spl49_103
| spl49_419 ),
inference(subsumption_resolution,[],[f7017,f2824]) ).
fof(f7017,plain,
( sP10(sK27(sK40))
| ~ p2(sK27(sK40))
| ~ spl49_2
| ~ spl49_99
| spl49_103 ),
inference(subsumption_resolution,[],[f7006,f793]) ).
fof(f7006,plain,
( sP11(sK27(sK40))
| sP10(sK27(sK40))
| ~ p2(sK27(sK40))
| ~ spl49_2
| ~ spl49_99 ),
inference(resolution,[],[f6997,f5942]) ).
fof(f6997,plain,
( ! [X0] :
( ~ r1(sK40,X0)
| sP11(X0)
| sP10(X0)
| ~ p2(X0) )
| ~ spl49_2 ),
inference(resolution,[],[f193,f108]) ).
fof(f108,plain,
! [X0,X1] :
( ~ sP13(X0)
| sP10(X1)
| sP11(X1)
| ~ r1(X0,X1)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f6973,plain,
( spl49_1026
| spl49_56
| ~ spl49_4
| ~ spl49_9 ),
inference(avatar_split_clause,[],[f5993,f221,f201,f497,f6970]) ).
fof(f5993,plain,
( p2(sK40)
| r1(sK40,sK36(sK40))
| ~ spl49_4
| ~ spl49_9 ),
inference(resolution,[],[f5936,f203]) ).
fof(f5936,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(X0)
| r1(X0,sK36(X0)) )
| ~ spl49_9 ),
inference(resolution,[],[f223,f158]) ).
fof(f158,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK36(X1)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f6968,plain,
( ~ spl49_11
| ~ spl49_36
| spl49_938
| ~ spl49_981
| ~ spl49_983 ),
inference(avatar_contradiction_clause,[],[f6967]) ).
fof(f6967,plain,
( $false
| ~ spl49_11
| ~ spl49_36
| spl49_938
| ~ spl49_981
| ~ spl49_983 ),
inference(subsumption_resolution,[],[f6962,f233]) ).
fof(f233,plain,
( r1(sK38,sK48)
| ~ spl49_11 ),
inference(avatar_component_clause,[],[f231]) ).
fof(f231,plain,
( spl49_11
<=> r1(sK38,sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_11])]) ).
fof(f6962,plain,
( ~ r1(sK38,sK48)
| ~ spl49_36
| spl49_938
| ~ spl49_981
| ~ spl49_983 ),
inference(resolution,[],[f6832,f6661]) ).
fof(f6661,plain,
( r1(sK48,sK39(sK48))
| ~ spl49_983 ),
inference(avatar_component_clause,[],[f6660]) ).
fof(f6660,plain,
( spl49_983
<=> r1(sK48,sK39(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_983])]) ).
fof(f6832,plain,
( ! [X0] :
( ~ r1(X0,sK39(sK48))
| ~ r1(sK38,X0) )
| ~ spl49_36
| spl49_938
| ~ spl49_981 ),
inference(resolution,[],[f6791,f382]) ).
fof(f382,plain,
( sP3(sK38)
| ~ spl49_36 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl49_36
<=> sP3(sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_36])]) ).
fof(f6791,plain,
( ! [X0,X1] :
( ~ sP3(X1)
| ~ r1(X1,X0)
| ~ r1(X0,sK39(sK48)) )
| spl49_938
| ~ spl49_981 ),
inference(subsumption_resolution,[],[f6788,f6308]) ).
fof(f6308,plain,
( ~ p2(sK39(sK48))
| spl49_938 ),
inference(avatar_component_clause,[],[f6307]) ).
fof(f6307,plain,
( spl49_938
<=> p2(sK39(sK48)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_938])]) ).
fof(f6788,plain,
( ! [X0,X1] :
( p2(sK39(sK48))
| ~ r1(X0,sK39(sK48))
| ~ r1(X1,X0)
| ~ sP3(X1) )
| ~ spl49_981 ),
inference(resolution,[],[f6650,f149]) ).
fof(f149,plain,
! [X2,X0,X1] :
( ~ p2(sK32(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( p2(sK31(X2))
& ~ p2(sK32(X2))
& r1(sK31(X2),sK32(X2))
& r1(X2,sK31(X2)) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32])],[f72,f74,f73]) ).
fof(f73,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
=> ( p2(sK31(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK31(X2),X4) )
& r1(X2,sK31(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK31(X2),X4) )
=> ( ~ p2(sK32(X2))
& r1(sK31(X2),sK32(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ? [X3] :
( p2(X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
| ~ sP3(X0) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f6650,plain,
( p2(sK32(sK39(sK48)))
| ~ spl49_981 ),
inference(avatar_component_clause,[],[f6648]) ).
fof(f6648,plain,
( spl49_981
<=> p2(sK32(sK39(sK48))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_981])]) ).
fof(f6787,plain,
( spl49_10
| ~ spl49_11
| spl49_983 ),
inference(avatar_contradiction_clause,[],[f6786]) ).
fof(f6786,plain,
( $false
| spl49_10
| ~ spl49_11
| spl49_983 ),
inference(subsumption_resolution,[],[f6785,f233]) ).
fof(f6785,plain,
( ~ r1(sK38,sK48)
| spl49_10
| spl49_983 ),
inference(subsumption_resolution,[],[f6784,f228]) ).
fof(f228,plain,
( ~ p2(sK48)
| spl49_10 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f226,plain,
( spl49_10
<=> p2(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_10])]) ).
fof(f6784,plain,
( p2(sK48)
| ~ r1(sK38,sK48)
| spl49_983 ),
inference(resolution,[],[f6662,f182]) ).
fof(f182,plain,
! [X1] :
( r1(X1,sK39(X1))
| p2(X1)
| ~ r1(sK38,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ! [X1] :
( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK39(X1),X3) )
& ~ p2(sK39(X1))
& r1(X1,sK39(X1)) )
| p2(X1)
| ~ r1(sK38,X1) )
& ( ( sP13(sK40)
& sP12(sK40)
& r1(sK38,sK40) )
| sP14(sK38) )
& ! [X6] :
( ( p1(sK41(X6))
& ~ p1(sK42(X6))
& r1(sK41(X6),sK42(X6))
& r1(X6,sK41(X6)) )
| p1(X6)
| ~ r1(sK38,X6) )
& ~ p1(sK43)
& r1(sK38,sK43)
& ( sP2(sK38)
| ! [X10] :
( ( p3(sK44(X10))
& r1(X10,sK44(X10)) )
| ~ r1(sK38,X10) ) )
& ! [X12] :
( ( p4(sK45(X12))
& ~ p4(sK46(X12))
& r1(sK45(X12),sK46(X12))
& r1(X12,sK45(X12)) )
| p4(X12)
| ~ r1(sK38,X12) )
& ~ p4(sK47)
& r1(sK38,sK47)
& ( ( sP0(sK38)
& ~ p2(sK48)
& r1(sK38,sK48) )
| ! [X17] :
( ~ p3(X17)
| ~ r1(sK38,X17) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48])],[f90,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91]) ).
fof(f91,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] :
( sP13(X5)
& sP12(X5)
& r1(X0,X5) )
| sP14(X0) )
& ! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p1(X6)
| ~ r1(X0,X6) )
& ? [X9] :
( ~ p1(X9)
& r1(X0,X9) )
& ( sP2(X0)
| ! [X10] :
( ? [X11] :
( p3(X11)
& r1(X10,X11) )
| ~ r1(X0,X10) ) )
& ! [X12] :
( ? [X13] :
( p4(X13)
& ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p4(X12)
| ~ r1(X0,X12) )
& ? [X15] :
( ~ p4(X15)
& r1(X0,X15) )
& ( ( sP0(X0)
& ? [X16] :
( ~ p2(X16)
& r1(X0,X16) ) )
| ! [X17] :
( ~ p3(X17)
| ~ r1(X0,X17) ) ) )
=> ( ! [X1] :
( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| p2(X1)
| ~ r1(sK38,X1) )
& ( ? [X5] :
( sP13(X5)
& sP12(X5)
& r1(sK38,X5) )
| sP14(sK38) )
& ! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p1(X6)
| ~ r1(sK38,X6) )
& ? [X9] :
( ~ p1(X9)
& r1(sK38,X9) )
& ( sP2(sK38)
| ! [X10] :
( ? [X11] :
( p3(X11)
& r1(X10,X11) )
| ~ r1(sK38,X10) ) )
& ! [X12] :
( ? [X13] :
( p4(X13)
& ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p4(X12)
| ~ r1(sK38,X12) )
& ? [X15] :
( ~ p4(X15)
& r1(sK38,X15) )
& ( ( sP0(sK38)
& ? [X16] :
( ~ p2(X16)
& r1(sK38,X16) ) )
| ! [X17] :
( ~ p3(X17)
| ~ r1(sK38,X17) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f92,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(sK39(X1),X3) )
& ~ p2(sK39(X1))
& r1(X1,sK39(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ? [X5] :
( sP13(X5)
& sP12(X5)
& r1(sK38,X5) )
=> ( sP13(sK40)
& sP12(sK40)
& r1(sK38,sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f94,plain,
! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
=> ( p1(sK41(X6))
& ? [X8] :
( ~ p1(X8)
& r1(sK41(X6),X8) )
& r1(X6,sK41(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f95,plain,
! [X6] :
( ? [X8] :
( ~ p1(X8)
& r1(sK41(X6),X8) )
=> ( ~ p1(sK42(X6))
& r1(sK41(X6),sK42(X6)) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
( ? [X9] :
( ~ p1(X9)
& r1(sK38,X9) )
=> ( ~ p1(sK43)
& r1(sK38,sK43) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X10] :
( ? [X11] :
( p3(X11)
& r1(X10,X11) )
=> ( p3(sK44(X10))
& r1(X10,sK44(X10)) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X12] :
( ? [X13] :
( p4(X13)
& ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
& r1(X12,X13) )
=> ( p4(sK45(X12))
& ? [X14] :
( ~ p4(X14)
& r1(sK45(X12),X14) )
& r1(X12,sK45(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X12] :
( ? [X14] :
( ~ p4(X14)
& r1(sK45(X12),X14) )
=> ( ~ p4(sK46(X12))
& r1(sK45(X12),sK46(X12)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
( ? [X15] :
( ~ p4(X15)
& r1(sK38,X15) )
=> ( ~ p4(sK47)
& r1(sK38,sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
( ? [X16] :
( ~ p2(X16)
& r1(sK38,X16) )
=> ( ~ p2(sK48)
& r1(sK38,sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f90,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] :
( sP13(X5)
& sP12(X5)
& r1(X0,X5) )
| sP14(X0) )
& ! [X6] :
( ? [X7] :
( p1(X7)
& ? [X8] :
( ~ p1(X8)
& r1(X7,X8) )
& r1(X6,X7) )
| p1(X6)
| ~ r1(X0,X6) )
& ? [X9] :
( ~ p1(X9)
& r1(X0,X9) )
& ( sP2(X0)
| ! [X10] :
( ? [X11] :
( p3(X11)
& r1(X10,X11) )
| ~ r1(X0,X10) ) )
& ! [X12] :
( ? [X13] :
( p4(X13)
& ? [X14] :
( ~ p4(X14)
& r1(X13,X14) )
& r1(X12,X13) )
| p4(X12)
| ~ r1(X0,X12) )
& ? [X15] :
( ~ p4(X15)
& r1(X0,X15) )
& ( ( sP0(X0)
& ? [X16] :
( ~ p2(X16)
& r1(X0,X16) ) )
| ! [X17] :
( ~ p3(X17)
| ~ r1(X0,X17) ) ) ),
inference(rectify,[],[f23]) ).
fof(f23,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] :
( sP13(X5)
& sP12(X5)
& r1(X0,X5) )
| sP14(X0) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( sP2(X0)
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( sP0(X0)
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(definition_folding,[],[f7,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10,f9,f8]) ).
fof(f9,plain,
! [X0] :
( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f10,plain,
! [X0] :
( ( sP1(X0)
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f12,plain,
! [X0] :
( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0)
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f14,plain,
! [X5] :
( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ~ sP6(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f15,plain,
! [X16] :
( ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) )
| ~ sP7(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f16,plain,
! [X16] :
( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16)
| ~ sP8(X16) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f17,plain,
! [X6] :
( ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) )
| ~ sP9(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f18,plain,
! [X6] :
( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ~ sP10(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f19,plain,
! [X6] :
( ! [X16] :
( ( sP8(X16)
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| sP7(X16) ) )
| ~ r1(X6,X16) )
| ~ sP11(X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
! [X5] :
( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( sP6(X5)
& sP5(X5) )
| ~ sP12(X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f22,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| sP3(X0) ) )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
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] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
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] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
& ~ p2(X6) )
| ( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
& ? [X12] :
( ? [X13] :
( ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
& ~ p2(X13)
& r1(X12,X13) )
& r1(X6,X12) ) )
| ! [X16] :
( ( ( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16) )
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ? [X24] :
( p2(X24)
& ? [X25] :
( ~ p2(X25)
& r1(X24,X25) )
& r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
& ( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
& ? [X31] :
( ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X31,X32) )
& r1(X5,X31) ) ) )
& r1(X0,X5) )
| ( ( ? [X35] :
( p2(X35)
& ? [X36] :
( ~ p2(X36)
& r1(X35,X36) )
& r1(X0,X35) )
| p2(X0) )
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ? [X42] :
( p2(X42)
& ? [X43] :
( ~ p2(X43)
& r1(X42,X43) )
& r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) )
& ! [X44] :
( ? [X45] :
( p1(X45)
& ? [X46] :
( ~ p1(X46)
& r1(X45,X46) )
& r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
& ? [X47] :
( ~ p1(X47)
& r1(X0,X47) )
& ( ( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ! [X52] :
( ? [X53] :
( p3(X53)
& r1(X52,X53) )
| ~ r1(X0,X52) ) )
& ! [X54] :
( ? [X55] :
( p4(X55)
& ? [X56] :
( ~ p4(X56)
& r1(X55,X56) )
& r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
& ? [X57] :
( ~ p4(X57)
& r1(X0,X57) )
& ( ( ! [X58] :
( ? [X59] :
( p2(X59)
& ? [X60] :
( ~ p2(X60)
& r1(X59,X60) )
& r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
& ? [X61] :
( ~ p2(X61)
& r1(X0,X61) ) )
| ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,plain,
? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) ) )
& ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ~ ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X2] :
( ~ ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
| p2(X2)
| ~ r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X5] :
( ~ ! [X6] :
( ~ ( ( ~ ! [X7] :
( ~ p2(X7)
| ! [X8] :
( p2(X8)
| ~ r1(X7,X8) )
| ~ r1(X6,X7) )
| p2(X6) )
& ( ~ ! [X9] :
( ~ ! [X10] :
( ~ p2(X10)
| ! [X11] :
( p2(X11)
| ~ r1(X10,X11) )
| ~ r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ! [X12] :
( ! [X13] :
( ~ ! [X14] :
( ~ p2(X14)
| ! [X15] :
( p2(X15)
| ~ r1(X14,X15) )
| ~ r1(X13,X14) )
| p2(X13)
| ~ r1(X12,X13) )
| ~ r1(X6,X12) ) ) )
| ! [X16] :
( ( ( ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| p2(X16) )
& ( ~ ! [X19] :
( ~ ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
| p2(X19)
| ~ r1(X16,X19) )
| ! [X22] :
( ! [X23] :
( ~ ! [X24] :
( ~ p2(X24)
| ! [X25] :
( p2(X25)
| ~ r1(X24,X25) )
| ~ r1(X23,X24) )
| p2(X23)
| ~ r1(X22,X23) )
| ~ r1(X16,X22) ) ) )
| ~ r1(X6,X16) )
| ~ r1(X5,X6) )
| ( ( ~ ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
| p2(X5) )
& ( ~ ! [X28] :
( ~ ! [X29] :
( ~ p2(X29)
| ! [X30] :
( p2(X30)
| ~ r1(X29,X30) )
| ~ r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ! [X31] :
( ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| p2(X32)
| ~ r1(X31,X32) )
| ~ r1(X5,X31) ) ) )
| ~ r1(X0,X5) )
| ( ( ~ ! [X35] :
( ~ p2(X35)
| ! [X36] :
( p2(X36)
| ~ r1(X35,X36) )
| ~ r1(X0,X35) )
| p2(X0) )
& ( ~ ! [X37] :
( ~ ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
| p2(X37)
| ~ r1(X0,X37) )
| ! [X40] :
( ! [X41] :
( ~ ! [X42] :
( ~ p2(X42)
| ! [X43] :
( p2(X43)
| ~ r1(X42,X43) )
| ~ r1(X41,X42) )
| p2(X41)
| ~ r1(X40,X41) )
| ~ r1(X0,X40) ) ) ) ) )
| ~ ! [X44] :
( ~ ! [X45] :
( ~ p1(X45)
| ! [X46] :
( p1(X46)
| ~ r1(X45,X46) )
| ~ r1(X44,X45) )
| p1(X44)
| ~ r1(X0,X44) )
| ! [X47] :
( p1(X47)
| ~ r1(X0,X47) )
| ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) )
| ~ r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ! [X51] :
( p2(X51)
| ~ r1(X0,X51) ) )
& ~ ! [X52] :
( ~ ! [X53] :
( ~ p3(X53)
| ~ r1(X52,X53) )
| ~ r1(X0,X52) ) )
| ~ ! [X54] :
( ~ ! [X55] :
( ~ p4(X55)
| ! [X56] :
( p4(X56)
| ~ r1(X55,X56) )
| ~ r1(X54,X55) )
| p4(X54)
| ~ r1(X0,X54) )
| ! [X57] :
( p4(X57)
| ~ r1(X0,X57) )
| ( ( ~ ! [X58] :
( ~ ! [X59] :
( ~ p2(X59)
| ! [X60] :
( p2(X60)
| ~ r1(X59,X60) )
| ~ r1(X58,X59) )
| p2(X58)
| ~ r1(X0,X58) )
| ! [X61] :
( p2(X61)
| ~ r1(X0,X61) ) )
& ~ ! [X62] :
( ~ p3(X62)
| ~ r1(X0,X62) ) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(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] :
( ~ p3(X1)
| ~ r1(X0,X1) ) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ! [X1] :
( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) )
| ! [X1] :
( ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ! [X0] :
( ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0) )
& ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( ! [X0] :
( ~ ! [X1] :
( ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) )
| p2(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ) ) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p1(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ p3(X0)
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ p4(X0)
| ! [X1] :
( p4(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p4(X1)
| ~ r1(X0,X1) )
| ! [X1] :
( p4(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] :
( ~ p3(X1)
| ~ r1(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(f6662,plain,
( ~ r1(sK48,sK39(sK48))
| spl49_983 ),
inference(avatar_component_clause,[],[f6660]) ).
fof(f6663,plain,
( ~ spl49_983
| spl49_981
| spl49_10
| ~ spl49_11
| ~ spl49_36
| ~ spl49_937
| spl49_938 ),
inference(avatar_split_clause,[],[f6658,f6307,f6303,f380,f231,f226,f6648,f6660]) ).
fof(f6303,plain,
( spl49_937
<=> p2(sK31(sK39(sK48))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_937])]) ).
fof(f6658,plain,
( p2(sK32(sK39(sK48)))
| ~ r1(sK48,sK39(sK48))
| spl49_10
| ~ spl49_11
| ~ spl49_36
| ~ spl49_937
| spl49_938 ),
inference(subsumption_resolution,[],[f6632,f6308]) ).
fof(f6632,plain,
( p2(sK32(sK39(sK48)))
| p2(sK39(sK48))
| ~ r1(sK48,sK39(sK48))
| spl49_10
| ~ spl49_11
| ~ spl49_36
| ~ spl49_937
| spl49_938 ),
inference(resolution,[],[f6624,f6154]) ).
fof(f6154,plain,
( ! [X0] :
( r1(sK31(X0),sK32(X0))
| p2(X0)
| ~ r1(sK48,X0) )
| ~ spl49_11
| ~ spl49_36 ),
inference(resolution,[],[f6118,f233]) ).
fof(f6118,plain,
( ! [X0,X1] :
( ~ r1(sK38,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK31(X0),sK32(X0)) )
| ~ spl49_36 ),
inference(resolution,[],[f382,f148]) ).
fof(f148,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(sK31(X2),sK32(X2)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f6624,plain,
( ! [X0] :
( ~ r1(sK31(sK39(sK48)),X0)
| p2(X0) )
| spl49_10
| ~ spl49_11
| ~ spl49_36
| ~ spl49_937
| spl49_938 ),
inference(subsumption_resolution,[],[f6623,f233]) ).
fof(f6623,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK31(sK39(sK48)),X0)
| ~ r1(sK38,sK48) )
| spl49_10
| ~ spl49_11
| ~ spl49_36
| ~ spl49_937
| spl49_938 ),
inference(subsumption_resolution,[],[f6622,f228]) ).
fof(f6622,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK31(sK39(sK48)),X0)
| p2(sK48)
| ~ r1(sK38,sK48) )
| spl49_10
| ~ spl49_11
| ~ spl49_36
| ~ spl49_937
| spl49_938 ),
inference(subsumption_resolution,[],[f6621,f6305]) ).
fof(f6305,plain,
( p2(sK31(sK39(sK48)))
| ~ spl49_937 ),
inference(avatar_component_clause,[],[f6303]) ).
fof(f6621,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK31(sK39(sK48)),X0)
| ~ p2(sK31(sK39(sK48)))
| p2(sK48)
| ~ r1(sK38,sK48) )
| spl49_10
| ~ spl49_11
| ~ spl49_36
| spl49_938 ),
inference(resolution,[],[f6439,f184]) ).
fof(f184,plain,
! [X3,X1,X4] :
( ~ r1(sK39(X1),X3)
| p2(X4)
| ~ r1(X3,X4)
| ~ p2(X3)
| p2(X1)
| ~ r1(sK38,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f6439,plain,
( r1(sK39(sK48),sK31(sK39(sK48)))
| spl49_10
| ~ spl49_11
| ~ spl49_36
| spl49_938 ),
inference(subsumption_resolution,[],[f6438,f233]) ).
fof(f6438,plain,
( r1(sK39(sK48),sK31(sK39(sK48)))
| ~ r1(sK38,sK48)
| spl49_10
| ~ spl49_11
| ~ spl49_36
| spl49_938 ),
inference(subsumption_resolution,[],[f6437,f228]) ).
fof(f6437,plain,
( r1(sK39(sK48),sK31(sK39(sK48)))
| p2(sK48)
| ~ r1(sK38,sK48)
| ~ spl49_11
| ~ spl49_36
| spl49_938 ),
inference(subsumption_resolution,[],[f6432,f6308]) ).
fof(f6432,plain,
( p2(sK39(sK48))
| r1(sK39(sK48),sK31(sK39(sK48)))
| p2(sK48)
| ~ r1(sK38,sK48)
| ~ spl49_11
| ~ spl49_36 ),
inference(resolution,[],[f6140,f182]) ).
fof(f6140,plain,
( ! [X0] :
( ~ r1(sK48,X0)
| p2(X0)
| r1(X0,sK31(X0)) )
| ~ spl49_11
| ~ spl49_36 ),
inference(resolution,[],[f6119,f233]) ).
fof(f6119,plain,
( ! [X0,X1] :
( ~ r1(sK38,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(X0,sK31(X0)) )
| ~ spl49_36 ),
inference(resolution,[],[f382,f147]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| r1(X2,sK31(X2)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f6373,plain,
( spl49_10
| ~ spl49_11
| ~ spl49_938 ),
inference(avatar_contradiction_clause,[],[f6372]) ).
fof(f6372,plain,
( $false
| spl49_10
| ~ spl49_11
| ~ spl49_938 ),
inference(subsumption_resolution,[],[f6371,f233]) ).
fof(f6371,plain,
( ~ r1(sK38,sK48)
| spl49_10
| ~ spl49_938 ),
inference(subsumption_resolution,[],[f6368,f228]) ).
fof(f6368,plain,
( p2(sK48)
| ~ r1(sK38,sK48)
| ~ spl49_938 ),
inference(resolution,[],[f6309,f183]) ).
fof(f183,plain,
! [X1] :
( ~ p2(sK39(X1))
| p2(X1)
| ~ r1(sK38,X1) ),
inference(cnf_transformation,[],[f102]) ).
fof(f6309,plain,
( p2(sK39(sK48))
| ~ spl49_938 ),
inference(avatar_component_clause,[],[f6307]) ).
fof(f6310,plain,
( spl49_937
| spl49_938
| spl49_10
| ~ spl49_11
| ~ spl49_36 ),
inference(avatar_split_clause,[],[f6301,f380,f231,f226,f6307,f6303]) ).
fof(f6301,plain,
( p2(sK39(sK48))
| p2(sK31(sK39(sK48)))
| spl49_10
| ~ spl49_11
| ~ spl49_36 ),
inference(subsumption_resolution,[],[f6300,f233]) ).
fof(f6300,plain,
( p2(sK39(sK48))
| p2(sK31(sK39(sK48)))
| ~ r1(sK38,sK48)
| spl49_10
| ~ spl49_11
| ~ spl49_36 ),
inference(subsumption_resolution,[],[f6285,f228]) ).
fof(f6285,plain,
( p2(sK39(sK48))
| p2(sK31(sK39(sK48)))
| p2(sK48)
| ~ r1(sK38,sK48)
| ~ spl49_11
| ~ spl49_36 ),
inference(resolution,[],[f6126,f182]) ).
fof(f6126,plain,
( ! [X0] :
( ~ r1(sK48,X0)
| p2(X0)
| p2(sK31(X0)) )
| ~ spl49_11
| ~ spl49_36 ),
inference(resolution,[],[f6120,f233]) ).
fof(f6120,plain,
( ! [X0,X1] :
( ~ r1(sK38,X1)
| ~ r1(X1,X0)
| p2(X0)
| p2(sK31(X0)) )
| ~ spl49_36 ),
inference(resolution,[],[f382,f150]) ).
fof(f150,plain,
! [X2,X0,X1] :
( ~ sP3(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| p2(sK31(X2)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f6116,plain,
( spl49_36
| spl49_128
| ~ spl49_1 ),
inference(avatar_split_clause,[],[f5930,f187,f949,f380]) ).
fof(f949,plain,
( spl49_128
<=> ! [X0,X1] :
( p2(X0)
| ~ p2(X1)
| ~ r1(sK15(sK38),X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_128])]) ).
fof(f187,plain,
( spl49_1
<=> sP14(sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_1])]) ).
fof(f5930,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK15(sK38),X1)
| sP3(sK38)
| ~ p2(X1) )
| ~ spl49_1 ),
inference(resolution,[],[f189,f105]) ).
fof(f105,plain,
! [X2,X3,X0] :
( ~ sP14(X0)
| p2(X3)
| ~ r1(X2,X3)
| ~ r1(sK15(X0),X2)
| sP3(X0)
| ~ p2(X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ( sP4(X0)
& ( ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK15(X0),X2) )
& ~ p2(sK15(X0))
& r1(X0,sK15(X0)) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f25,f26]) ).
fof(f26,plain,
! [X0] :
( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
=> ( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(sK15(X0),X2) )
& ~ p2(sK15(X0))
& r1(X0,sK15(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X1] :
( ! [X2] :
( ~ p2(X2)
| ! [X3] :
( p2(X3)
| ~ r1(X2,X3) )
| ~ r1(X1,X2) )
& ~ p2(X1)
& r1(X0,X1) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,plain,
! [X0] :
( ( sP4(X0)
& ( ? [X37] :
( ! [X38] :
( ~ p2(X38)
| ! [X39] :
( p2(X39)
| ~ r1(X38,X39) )
| ~ r1(X37,X38) )
& ~ p2(X37)
& r1(X0,X37) )
| sP3(X0) ) )
| ~ sP14(X0) ),
inference(nnf_transformation,[],[f22]) ).
fof(f189,plain,
( sP14(sK38)
| ~ spl49_1 ),
inference(avatar_component_clause,[],[f187]) ).
fof(f6115,plain,
( ~ spl49_9
| ~ spl49_35
| ~ spl49_128
| spl49_130 ),
inference(avatar_contradiction_clause,[],[f6114]) ).
fof(f6114,plain,
( $false
| ~ spl49_9
| ~ spl49_35
| ~ spl49_128
| spl49_130 ),
inference(subsumption_resolution,[],[f6113,f378]) ).
fof(f378,plain,
( r1(sK38,sK15(sK38))
| ~ spl49_35 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl49_35
<=> r1(sK38,sK15(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_35])]) ).
fof(f6113,plain,
( ~ r1(sK38,sK15(sK38))
| ~ spl49_9
| ~ spl49_35
| ~ spl49_128
| spl49_130 ),
inference(resolution,[],[f6098,f223]) ).
fof(f6098,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK15(sK38)) )
| ~ spl49_9
| ~ spl49_35
| ~ spl49_128
| spl49_130 ),
inference(subsumption_resolution,[],[f6095,f967]) ).
fof(f967,plain,
( ~ p2(sK15(sK38))
| spl49_130 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f966,plain,
( spl49_130
<=> p2(sK15(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_130])]) ).
fof(f6095,plain,
( ! [X0] :
( p2(sK15(sK38))
| ~ r1(X0,sK15(sK38))
| ~ sP0(X0) )
| ~ spl49_9
| ~ spl49_35
| ~ spl49_128
| spl49_130 ),
inference(resolution,[],[f6066,f160]) ).
fof(f6066,plain,
( p2(sK37(sK15(sK38)))
| ~ spl49_9
| ~ spl49_35
| ~ spl49_128
| spl49_130 ),
inference(subsumption_resolution,[],[f6065,f967]) ).
fof(f6065,plain,
( p2(sK37(sK15(sK38)))
| p2(sK15(sK38))
| ~ spl49_9
| ~ spl49_35
| ~ spl49_128
| spl49_130 ),
inference(subsumption_resolution,[],[f6058,f378]) ).
fof(f6058,plain,
( p2(sK37(sK15(sK38)))
| ~ r1(sK38,sK15(sK38))
| p2(sK15(sK38))
| ~ spl49_9
| ~ spl49_35
| ~ spl49_128
| spl49_130 ),
inference(resolution,[],[f6035,f5935]) ).
fof(f6035,plain,
( ! [X0] :
( ~ r1(sK36(sK15(sK38)),X0)
| p2(X0) )
| ~ spl49_9
| ~ spl49_35
| ~ spl49_128
| spl49_130 ),
inference(subsumption_resolution,[],[f6034,f5974]) ).
fof(f5974,plain,
( p2(sK36(sK15(sK38)))
| ~ spl49_9
| ~ spl49_35
| spl49_130 ),
inference(subsumption_resolution,[],[f5962,f967]) ).
fof(f5962,plain,
( p2(sK15(sK38))
| p2(sK36(sK15(sK38)))
| ~ spl49_9
| ~ spl49_35 ),
inference(resolution,[],[f5937,f378]) ).
fof(f5937,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(X0)
| p2(sK36(X0)) )
| ~ spl49_9 ),
inference(resolution,[],[f223,f161]) ).
fof(f161,plain,
! [X0,X1] :
( ~ sP0(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK36(X1)) ),
inference(cnf_transformation,[],[f89]) ).
fof(f6034,plain,
( ! [X0] :
( ~ p2(sK36(sK15(sK38)))
| p2(X0)
| ~ r1(sK36(sK15(sK38)),X0) )
| ~ spl49_9
| ~ spl49_35
| ~ spl49_128
| spl49_130 ),
inference(resolution,[],[f6004,f950]) ).
fof(f950,plain,
( ! [X0,X1] :
( ~ r1(sK15(sK38),X1)
| ~ p2(X1)
| p2(X0)
| ~ r1(X1,X0) )
| ~ spl49_128 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f6004,plain,
( r1(sK15(sK38),sK36(sK15(sK38)))
| ~ spl49_9
| ~ spl49_35
| spl49_130 ),
inference(subsumption_resolution,[],[f5992,f967]) ).
fof(f5992,plain,
( p2(sK15(sK38))
| r1(sK15(sK38),sK36(sK15(sK38)))
| ~ spl49_9
| ~ spl49_35 ),
inference(resolution,[],[f5936,f378]) ).
fof(f5921,plain,
( spl49_99
| ~ spl49_3
| ~ spl49_56 ),
inference(avatar_split_clause,[],[f5920,f497,f196,f773]) ).
fof(f196,plain,
( spl49_3
<=> sP12(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_3])]) ).
fof(f5920,plain,
( sP5(sK40)
| ~ spl49_3
| ~ spl49_56 ),
inference(subsumption_resolution,[],[f4729,f198]) ).
fof(f198,plain,
( sP12(sK40)
| ~ spl49_3 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f4729,plain,
( sP5(sK40)
| ~ sP12(sK40)
| ~ spl49_56 ),
inference(resolution,[],[f499,f111]) ).
fof(f111,plain,
! [X0] :
( ~ p2(X0)
| sP5(X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0] :
( ( ! [X1] :
( ~ p2(X1)
| ! [X2] :
( p2(X2)
| ~ r1(X1,X2) )
| ~ r1(X0,X1) )
& ~ p2(X0) )
| ( sP6(X0)
& sP5(X0) )
| ~ sP12(X0) ),
inference(rectify,[],[f30]) ).
fof(f30,plain,
! [X5] :
( ( ! [X26] :
( ~ p2(X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) )
| ~ r1(X5,X26) )
& ~ p2(X5) )
| ( sP6(X5)
& sP5(X5) )
| ~ sP12(X5) ),
inference(nnf_transformation,[],[f20]) ).
fof(f499,plain,
( p2(sK40)
| ~ spl49_56 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f5887,plain,
( spl49_154
| ~ spl49_419
| ~ spl49_883
| ~ spl49_884 ),
inference(avatar_contradiction_clause,[],[f5886]) ).
fof(f5886,plain,
( $false
| spl49_154
| ~ spl49_419
| ~ spl49_883
| ~ spl49_884 ),
inference(subsumption_resolution,[],[f5882,f2825]) ).
fof(f2825,plain,
( sP10(sK27(sK40))
| ~ spl49_419 ),
inference(avatar_component_clause,[],[f2823]) ).
fof(f5882,plain,
( ~ sP10(sK27(sK40))
| spl49_154
| ~ spl49_883
| ~ spl49_884 ),
inference(resolution,[],[f5863,f5798]) ).
fof(f5798,plain,
( r1(sK27(sK40),sK28(sK40))
| ~ spl49_883 ),
inference(avatar_component_clause,[],[f5797]) ).
fof(f5797,plain,
( spl49_883
<=> r1(sK27(sK40),sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_883])]) ).
fof(f5863,plain,
( ! [X0] :
( ~ r1(X0,sK28(sK40))
| ~ sP10(X0) )
| spl49_154
| ~ spl49_884 ),
inference(subsumption_resolution,[],[f5860,f1086]) ).
fof(f1086,plain,
( ~ p2(sK28(sK40))
| spl49_154 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f1084,plain,
( spl49_154
<=> p2(sK28(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_154])]) ).
fof(f5860,plain,
( ! [X0] :
( p2(sK28(sK40))
| ~ r1(X0,sK28(sK40))
| ~ sP10(X0) )
| ~ spl49_884 ),
inference(resolution,[],[f5803,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ p2(sK18(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0] :
( ! [X1] :
( ( p2(sK17(X1))
& ~ p2(sK18(X1))
& r1(sK17(X1),sK18(X1))
& r1(X1,sK17(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18])],[f37,f39,f38]) ).
fof(f38,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK17(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK17(X1),X3) )
& r1(X1,sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK17(X1),X3) )
=> ( ~ p2(sK18(X1))
& r1(sK17(X1),sK18(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP10(X0) ),
inference(rectify,[],[f36]) ).
fof(f36,plain,
! [X6] :
( ! [X9] :
( ? [X10] :
( p2(X10)
& ? [X11] :
( ~ p2(X11)
& r1(X10,X11) )
& r1(X9,X10) )
| p2(X9)
| ~ r1(X6,X9) )
| ~ sP10(X6) ),
inference(nnf_transformation,[],[f18]) ).
fof(f5803,plain,
( p2(sK18(sK28(sK40)))
| ~ spl49_884 ),
inference(avatar_component_clause,[],[f5801]) ).
fof(f5801,plain,
( spl49_884
<=> p2(sK18(sK28(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_884])]) ).
fof(f5859,plain,
( ~ spl49_99
| spl49_883 ),
inference(avatar_contradiction_clause,[],[f5858]) ).
fof(f5858,plain,
( $false
| ~ spl49_99
| spl49_883 ),
inference(subsumption_resolution,[],[f5857,f775]) ).
fof(f5857,plain,
( ~ sP5(sK40)
| spl49_883 ),
inference(resolution,[],[f5799,f140]) ).
fof(f140,plain,
! [X0] :
( r1(sK27(X0),sK28(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f5799,plain,
( ~ r1(sK27(sK40),sK28(sK40))
| spl49_883 ),
inference(avatar_component_clause,[],[f5797]) ).
fof(f5804,plain,
( ~ spl49_883
| spl49_884
| ~ spl49_99
| spl49_154
| ~ spl49_419 ),
inference(avatar_split_clause,[],[f5795,f2823,f1084,f773,f5801,f5797]) ).
fof(f5795,plain,
( p2(sK18(sK28(sK40)))
| ~ r1(sK27(sK40),sK28(sK40))
| ~ spl49_99
| spl49_154
| ~ spl49_419 ),
inference(subsumption_resolution,[],[f5782,f1086]) ).
fof(f5782,plain,
( p2(sK18(sK28(sK40)))
| ~ r1(sK27(sK40),sK28(sK40))
| p2(sK28(sK40))
| ~ spl49_99
| spl49_154
| ~ spl49_419 ),
inference(resolution,[],[f5781,f5619]) ).
fof(f5619,plain,
( ! [X0] :
( r1(sK17(X0),sK18(X0))
| ~ r1(sK27(sK40),X0)
| p2(X0) )
| ~ spl49_419 ),
inference(resolution,[],[f2825,f120]) ).
fof(f120,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK17(X1),sK18(X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f5781,plain,
( ! [X0] :
( ~ r1(sK17(sK28(sK40)),X0)
| p2(X0) )
| ~ spl49_99
| spl49_154
| ~ spl49_419 ),
inference(subsumption_resolution,[],[f5780,f5649]) ).
fof(f5649,plain,
( p2(sK17(sK28(sK40)))
| ~ spl49_99
| spl49_154
| ~ spl49_419 ),
inference(subsumption_resolution,[],[f5648,f775]) ).
fof(f5648,plain,
( p2(sK17(sK28(sK40)))
| ~ sP5(sK40)
| spl49_154
| ~ spl49_419 ),
inference(subsumption_resolution,[],[f5638,f1086]) ).
fof(f5638,plain,
( p2(sK28(sK40))
| p2(sK17(sK28(sK40)))
| ~ sP5(sK40)
| ~ spl49_419 ),
inference(resolution,[],[f5621,f140]) ).
fof(f5621,plain,
( ! [X0] :
( ~ r1(sK27(sK40),X0)
| p2(X0)
| p2(sK17(X0)) )
| ~ spl49_419 ),
inference(resolution,[],[f2825,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK17(X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f5780,plain,
( ! [X0] :
( ~ r1(sK17(sK28(sK40)),X0)
| p2(X0)
| ~ p2(sK17(sK28(sK40))) )
| ~ spl49_99
| spl49_154
| ~ spl49_419 ),
inference(resolution,[],[f5686,f3626]) ).
fof(f3626,plain,
( ! [X0,X1] :
( ~ r1(sK28(sK40),X1)
| ~ r1(X1,X0)
| p2(X0)
| ~ p2(X1) )
| ~ spl49_99 ),
inference(resolution,[],[f775,f142]) ).
fof(f142,plain,
! [X3,X0,X4] :
( ~ sP5(X0)
| p2(X4)
| ~ r1(X3,X4)
| ~ r1(sK28(X0),X3)
| ~ p2(X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f5686,plain,
( r1(sK28(sK40),sK17(sK28(sK40)))
| ~ spl49_99
| spl49_154
| ~ spl49_419 ),
inference(subsumption_resolution,[],[f5685,f775]) ).
fof(f5685,plain,
( r1(sK28(sK40),sK17(sK28(sK40)))
| ~ sP5(sK40)
| spl49_154
| ~ spl49_419 ),
inference(subsumption_resolution,[],[f5675,f1086]) ).
fof(f5675,plain,
( p2(sK28(sK40))
| r1(sK28(sK40),sK17(sK28(sK40)))
| ~ sP5(sK40)
| ~ spl49_419 ),
inference(resolution,[],[f5620,f140]) ).
fof(f5620,plain,
( ! [X0] :
( ~ r1(sK27(sK40),X0)
| p2(X0)
| r1(X0,sK17(X0)) )
| ~ spl49_419 ),
inference(resolution,[],[f2825,f119]) ).
fof(f119,plain,
! [X0,X1] :
( ~ sP10(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK17(X1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f5602,plain,
( ~ spl49_99
| ~ spl49_154 ),
inference(avatar_contradiction_clause,[],[f5601]) ).
fof(f5601,plain,
( $false
| ~ spl49_99
| ~ spl49_154 ),
inference(subsumption_resolution,[],[f5598,f775]) ).
fof(f5598,plain,
( ~ sP5(sK40)
| ~ spl49_154 ),
inference(resolution,[],[f1085,f141]) ).
fof(f141,plain,
! [X0] :
( ~ p2(sK28(X0))
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f1085,plain,
( p2(sK28(sK40))
| ~ spl49_154 ),
inference(avatar_component_clause,[],[f1084]) ).
fof(f5572,plain,
( ~ spl49_99
| ~ spl49_103
| spl49_154 ),
inference(avatar_contradiction_clause,[],[f5571]) ).
fof(f5571,plain,
( $false
| ~ spl49_99
| ~ spl49_103
| spl49_154 ),
inference(subsumption_resolution,[],[f5570,f4823]) ).
fof(f4823,plain,
( sP8(sK28(sK40))
| ~ spl49_99
| ~ spl49_103 ),
inference(subsumption_resolution,[],[f4814,f775]) ).
fof(f4814,plain,
( sP8(sK28(sK40))
| ~ sP5(sK40)
| ~ spl49_103 ),
inference(resolution,[],[f4813,f140]) ).
fof(f4813,plain,
( ! [X0] :
( ~ r1(sK27(sK40),X0)
| sP8(X0) )
| ~ spl49_103 ),
inference(resolution,[],[f794,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ sP11(X0)
| ~ r1(X0,X1)
| sP8(X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ( sP8(X1)
& ( ( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(sK16(X1),X3) )
& ~ p2(sK16(X1))
& r1(X1,sK16(X1)) )
| sP7(X1) ) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f33,f34]) ).
fof(f34,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(sK16(X1),X3) )
& ~ p2(sK16(X1))
& r1(X1,sK16(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ( sP8(X1)
& ( ? [X2] :
( ! [X3] :
( ~ p2(X3)
| ! [X4] :
( p2(X4)
| ~ r1(X3,X4) )
| ~ r1(X2,X3) )
& ~ p2(X2)
& r1(X1,X2) )
| sP7(X1) ) )
| ~ r1(X0,X1) )
| ~ sP11(X0) ),
inference(rectify,[],[f32]) ).
fof(f32,plain,
! [X6] :
( ! [X16] :
( ( sP8(X16)
& ( ? [X19] :
( ! [X20] :
( ~ p2(X20)
| ! [X21] :
( p2(X21)
| ~ r1(X20,X21) )
| ~ r1(X19,X20) )
& ~ p2(X19)
& r1(X16,X19) )
| sP7(X16) ) )
| ~ r1(X6,X16) )
| ~ sP11(X6) ),
inference(nnf_transformation,[],[f19]) ).
fof(f794,plain,
( sP11(sK27(sK40))
| ~ spl49_103 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f5570,plain,
( ~ sP8(sK28(sK40))
| ~ spl49_99
| ~ spl49_103
| spl49_154 ),
inference(subsumption_resolution,[],[f5567,f1086]) ).
fof(f5567,plain,
( p2(sK28(sK40))
| ~ sP8(sK28(sK40))
| ~ spl49_99
| ~ spl49_103
| spl49_154 ),
inference(resolution,[],[f5538,f129]) ).
fof(f129,plain,
! [X0] :
( ~ p2(sK22(X0))
| p2(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0] :
( ( p2(sK21(X0))
& ~ p2(sK22(X0))
& r1(sK21(X0),sK22(X0))
& r1(X0,sK21(X0)) )
| p2(X0)
| ~ sP8(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21,sK22])],[f47,f49,f48]) ).
fof(f48,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
=> ( p2(sK21(X0))
& ? [X2] :
( ~ p2(X2)
& r1(sK21(X0),X2) )
& r1(X0,sK21(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0] :
( ? [X2] :
( ~ p2(X2)
& r1(sK21(X0),X2) )
=> ( ~ p2(sK22(X0))
& r1(sK21(X0),sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( p2(X1)
& ? [X2] :
( ~ p2(X2)
& r1(X1,X2) )
& r1(X0,X1) )
| p2(X0)
| ~ sP8(X0) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X16] :
( ? [X17] :
( p2(X17)
& ? [X18] :
( ~ p2(X18)
& r1(X17,X18) )
& r1(X16,X17) )
| p2(X16)
| ~ sP8(X16) ),
inference(nnf_transformation,[],[f16]) ).
fof(f5538,plain,
( p2(sK22(sK28(sK40)))
| ~ spl49_99
| ~ spl49_103
| spl49_154 ),
inference(subsumption_resolution,[],[f5537,f4823]) ).
fof(f5537,plain,
( p2(sK22(sK28(sK40)))
| ~ sP8(sK28(sK40))
| ~ spl49_99
| ~ spl49_103
| spl49_154 ),
inference(subsumption_resolution,[],[f5529,f1086]) ).
fof(f5529,plain,
( p2(sK22(sK28(sK40)))
| p2(sK28(sK40))
| ~ sP8(sK28(sK40))
| ~ spl49_99
| ~ spl49_103
| spl49_154 ),
inference(resolution,[],[f5271,f128]) ).
fof(f128,plain,
! [X0] :
( r1(sK21(X0),sK22(X0))
| p2(X0)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f5271,plain,
( ! [X0] :
( ~ r1(sK21(sK28(sK40)),X0)
| p2(X0) )
| ~ spl49_99
| ~ spl49_103
| spl49_154 ),
inference(subsumption_resolution,[],[f5270,f4884]) ).
fof(f4884,plain,
( p2(sK21(sK28(sK40)))
| ~ spl49_99
| ~ spl49_103
| spl49_154 ),
inference(subsumption_resolution,[],[f4882,f1086]) ).
fof(f4882,plain,
( p2(sK28(sK40))
| p2(sK21(sK28(sK40)))
| ~ spl49_99
| ~ spl49_103 ),
inference(resolution,[],[f4823,f130]) ).
fof(f130,plain,
! [X0] :
( ~ sP8(X0)
| p2(X0)
| p2(sK21(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f5270,plain,
( ! [X0] :
( ~ r1(sK21(sK28(sK40)),X0)
| p2(X0)
| ~ p2(sK21(sK28(sK40))) )
| ~ spl49_99
| ~ spl49_103
| spl49_154 ),
inference(resolution,[],[f4883,f3626]) ).
fof(f4883,plain,
( r1(sK28(sK40),sK21(sK28(sK40)))
| ~ spl49_99
| ~ spl49_103
| spl49_154 ),
inference(subsumption_resolution,[],[f4881,f1086]) ).
fof(f4881,plain,
( p2(sK28(sK40))
| r1(sK28(sK40),sK21(sK28(sK40)))
| ~ spl49_99
| ~ spl49_103 ),
inference(resolution,[],[f4823,f127]) ).
fof(f127,plain,
! [X0] :
( ~ sP8(X0)
| p2(X0)
| r1(X0,sK21(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f4776,plain,
( ~ spl49_99
| spl49_101
| ~ spl49_104
| ~ spl49_420 ),
inference(avatar_contradiction_clause,[],[f4775]) ).
fof(f4775,plain,
( $false
| ~ spl49_99
| spl49_101
| ~ spl49_104
| ~ spl49_420 ),
inference(subsumption_resolution,[],[f4774,f3627]) ).
fof(f3627,plain,
( r1(sK40,sK27(sK40))
| ~ spl49_99 ),
inference(resolution,[],[f775,f139]) ).
fof(f4774,plain,
( ~ r1(sK40,sK27(sK40))
| ~ spl49_99
| spl49_101
| ~ spl49_104
| ~ spl49_420 ),
inference(resolution,[],[f4450,f800]) ).
fof(f800,plain,
( sP6(sK40)
| ~ spl49_104 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f798,plain,
( spl49_104
<=> sP6(sK40) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_104])]) ).
fof(f4450,plain,
( ! [X0] :
( ~ sP6(X0)
| ~ r1(X0,sK27(sK40)) )
| ~ spl49_99
| spl49_101
| ~ spl49_104
| ~ spl49_420 ),
inference(subsumption_resolution,[],[f4447,f786]) ).
fof(f786,plain,
( ~ p2(sK27(sK40))
| spl49_101 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f4447,plain,
( ! [X0] :
( p2(sK27(sK40))
| ~ r1(X0,sK27(sK40))
| ~ sP6(X0) )
| ~ spl49_99
| spl49_101
| ~ spl49_104
| ~ spl49_420 ),
inference(resolution,[],[f4119,f137]) ).
fof(f137,plain,
! [X0,X1] :
( ~ p2(sK26(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0] :
( ! [X1] :
( ( p2(sK25(X1))
& ~ p2(sK26(X1))
& r1(sK25(X1),sK26(X1))
& r1(X1,sK25(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f57,f59,f58]) ).
fof(f58,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK25(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK25(X1),X3) )
& r1(X1,sK25(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK25(X1),X3) )
=> ( ~ p2(sK26(X1))
& r1(sK25(X1),sK26(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP6(X0) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X5] :
( ! [X28] :
( ? [X29] :
( p2(X29)
& ? [X30] :
( ~ p2(X30)
& r1(X29,X30) )
& r1(X28,X29) )
| p2(X28)
| ~ r1(X5,X28) )
| ~ sP6(X5) ),
inference(nnf_transformation,[],[f14]) ).
fof(f4119,plain,
( p2(sK26(sK27(sK40)))
| ~ spl49_99
| spl49_101
| ~ spl49_104
| ~ spl49_420 ),
inference(subsumption_resolution,[],[f4118,f786]) ).
fof(f4118,plain,
( p2(sK26(sK27(sK40)))
| p2(sK27(sK40))
| ~ spl49_99
| spl49_101
| ~ spl49_104
| ~ spl49_420 ),
inference(subsumption_resolution,[],[f4110,f3627]) ).
fof(f4110,plain,
( p2(sK26(sK27(sK40)))
| ~ r1(sK40,sK27(sK40))
| p2(sK27(sK40))
| ~ spl49_99
| spl49_101
| ~ spl49_104
| ~ spl49_420 ),
inference(resolution,[],[f3888,f3628]) ).
fof(f3628,plain,
( ! [X0] :
( r1(sK25(X0),sK26(X0))
| ~ r1(sK40,X0)
| p2(X0) )
| ~ spl49_104 ),
inference(resolution,[],[f800,f136]) ).
fof(f136,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK25(X1),sK26(X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f3888,plain,
( ! [X0] :
( ~ r1(sK25(sK27(sK40)),X0)
| p2(X0) )
| ~ spl49_99
| spl49_101
| ~ spl49_104
| ~ spl49_420 ),
inference(subsumption_resolution,[],[f3880,f3651]) ).
fof(f3651,plain,
( p2(sK25(sK27(sK40)))
| ~ spl49_99
| spl49_101
| ~ spl49_104 ),
inference(subsumption_resolution,[],[f3642,f786]) ).
fof(f3642,plain,
( p2(sK27(sK40))
| p2(sK25(sK27(sK40)))
| ~ spl49_99
| ~ spl49_104 ),
inference(resolution,[],[f3630,f3627]) ).
fof(f3630,plain,
( ! [X0] :
( ~ r1(sK40,X0)
| p2(X0)
| p2(sK25(X0)) )
| ~ spl49_104 ),
inference(resolution,[],[f800,f138]) ).
fof(f138,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK25(X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f3880,plain,
( ! [X0] :
( ~ p2(sK25(sK27(sK40)))
| p2(X0)
| ~ r1(sK25(sK27(sK40)),X0) )
| ~ spl49_99
| spl49_101
| ~ spl49_104
| ~ spl49_420 ),
inference(resolution,[],[f2828,f3707]) ).
fof(f3707,plain,
( r1(sK27(sK40),sK25(sK27(sK40)))
| ~ spl49_99
| spl49_101
| ~ spl49_104 ),
inference(subsumption_resolution,[],[f3698,f786]) ).
fof(f3698,plain,
( p2(sK27(sK40))
| r1(sK27(sK40),sK25(sK27(sK40)))
| ~ spl49_99
| ~ spl49_104 ),
inference(resolution,[],[f3629,f3627]) ).
fof(f3629,plain,
( ! [X0] :
( ~ r1(sK40,X0)
| p2(X0)
| r1(X0,sK25(X0)) )
| ~ spl49_104 ),
inference(resolution,[],[f800,f135]) ).
fof(f135,plain,
! [X0,X1] :
( ~ sP6(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK25(X1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f2828,plain,
( ! [X0,X1] :
( ~ r1(sK27(sK40),X0)
| ~ p2(X0)
| p2(X1)
| ~ r1(X0,X1) )
| ~ spl49_420 ),
inference(avatar_component_clause,[],[f2827]) ).
fof(f4712,plain,
( spl49_56
| ~ spl49_4
| ~ spl49_558 ),
inference(avatar_split_clause,[],[f4711,f3660,f201,f497]) ).
fof(f3660,plain,
( spl49_558
<=> p2(sK39(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_558])]) ).
fof(f4711,plain,
( p2(sK40)
| ~ spl49_4
| ~ spl49_558 ),
inference(subsumption_resolution,[],[f4691,f203]) ).
fof(f4691,plain,
( p2(sK40)
| ~ r1(sK38,sK40)
| ~ spl49_558 ),
inference(resolution,[],[f3662,f183]) ).
fof(f3662,plain,
( p2(sK39(sK40))
| ~ spl49_558 ),
inference(avatar_component_clause,[],[f3660]) ).
fof(f4690,plain,
( ~ spl49_104
| spl49_558
| ~ spl49_602
| ~ spl49_603 ),
inference(avatar_contradiction_clause,[],[f4689]) ).
fof(f4689,plain,
( $false
| ~ spl49_104
| spl49_558
| ~ spl49_602
| ~ spl49_603 ),
inference(subsumption_resolution,[],[f4688,f3965]) ).
fof(f3965,plain,
( r1(sK40,sK39(sK40))
| ~ spl49_602 ),
inference(avatar_component_clause,[],[f3964]) ).
fof(f3964,plain,
( spl49_602
<=> r1(sK40,sK39(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_602])]) ).
fof(f4688,plain,
( ~ r1(sK40,sK39(sK40))
| ~ spl49_104
| spl49_558
| ~ spl49_603 ),
inference(resolution,[],[f4187,f800]) ).
fof(f4187,plain,
( ! [X0] :
( ~ sP6(X0)
| ~ r1(X0,sK39(sK40)) )
| spl49_558
| ~ spl49_603 ),
inference(subsumption_resolution,[],[f4184,f3661]) ).
fof(f3661,plain,
( ~ p2(sK39(sK40))
| spl49_558 ),
inference(avatar_component_clause,[],[f3660]) ).
fof(f4184,plain,
( ! [X0] :
( p2(sK39(sK40))
| ~ r1(X0,sK39(sK40))
| ~ sP6(X0) )
| ~ spl49_603 ),
inference(resolution,[],[f3970,f137]) ).
fof(f3970,plain,
( p2(sK26(sK39(sK40)))
| ~ spl49_603 ),
inference(avatar_component_clause,[],[f3968]) ).
fof(f3968,plain,
( spl49_603
<=> p2(sK26(sK39(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_603])]) ).
fof(f4155,plain,
( ~ spl49_4
| spl49_56
| spl49_602 ),
inference(avatar_contradiction_clause,[],[f4154]) ).
fof(f4154,plain,
( $false
| ~ spl49_4
| spl49_56
| spl49_602 ),
inference(subsumption_resolution,[],[f4153,f203]) ).
fof(f4153,plain,
( ~ r1(sK38,sK40)
| spl49_56
| spl49_602 ),
inference(subsumption_resolution,[],[f4152,f498]) ).
fof(f4152,plain,
( p2(sK40)
| ~ r1(sK38,sK40)
| spl49_602 ),
inference(resolution,[],[f3966,f182]) ).
fof(f3966,plain,
( ~ r1(sK40,sK39(sK40))
| spl49_602 ),
inference(avatar_component_clause,[],[f3964]) ).
fof(f3971,plain,
( spl49_558
| ~ spl49_602
| spl49_603
| ~ spl49_4
| spl49_56
| ~ spl49_104
| ~ spl49_557
| ~ spl49_564 ),
inference(avatar_split_clause,[],[f3955,f3712,f3656,f798,f497,f201,f3968,f3964,f3660]) ).
fof(f3656,plain,
( spl49_557
<=> p2(sK25(sK39(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_557])]) ).
fof(f3712,plain,
( spl49_564
<=> r1(sK39(sK40),sK25(sK39(sK40))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_564])]) ).
fof(f3955,plain,
( p2(sK26(sK39(sK40)))
| ~ r1(sK40,sK39(sK40))
| p2(sK39(sK40))
| ~ spl49_4
| spl49_56
| ~ spl49_104
| ~ spl49_557
| ~ spl49_564 ),
inference(resolution,[],[f3851,f3628]) ).
fof(f3851,plain,
( ! [X0] :
( ~ r1(sK25(sK39(sK40)),X0)
| p2(X0) )
| ~ spl49_4
| spl49_56
| ~ spl49_557
| ~ spl49_564 ),
inference(subsumption_resolution,[],[f3850,f203]) ).
fof(f3850,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK25(sK39(sK40)),X0)
| ~ r1(sK38,sK40) )
| spl49_56
| ~ spl49_557
| ~ spl49_564 ),
inference(subsumption_resolution,[],[f3849,f498]) ).
fof(f3849,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK25(sK39(sK40)),X0)
| p2(sK40)
| ~ r1(sK38,sK40) )
| ~ spl49_557
| ~ spl49_564 ),
inference(subsumption_resolution,[],[f3848,f3658]) ).
fof(f3658,plain,
( p2(sK25(sK39(sK40)))
| ~ spl49_557 ),
inference(avatar_component_clause,[],[f3656]) ).
fof(f3848,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK25(sK39(sK40)),X0)
| ~ p2(sK25(sK39(sK40)))
| p2(sK40)
| ~ r1(sK38,sK40) )
| ~ spl49_564 ),
inference(resolution,[],[f3714,f184]) ).
fof(f3714,plain,
( r1(sK39(sK40),sK25(sK39(sK40)))
| ~ spl49_564 ),
inference(avatar_component_clause,[],[f3712]) ).
fof(f3715,plain,
( spl49_564
| spl49_558
| ~ spl49_4
| spl49_56
| ~ spl49_104 ),
inference(avatar_split_clause,[],[f3710,f798,f497,f201,f3660,f3712]) ).
fof(f3710,plain,
( p2(sK39(sK40))
| r1(sK39(sK40),sK25(sK39(sK40)))
| ~ spl49_4
| spl49_56
| ~ spl49_104 ),
inference(subsumption_resolution,[],[f3709,f203]) ).
fof(f3709,plain,
( p2(sK39(sK40))
| r1(sK39(sK40),sK25(sK39(sK40)))
| ~ r1(sK38,sK40)
| spl49_56
| ~ spl49_104 ),
inference(subsumption_resolution,[],[f3702,f498]) ).
fof(f3702,plain,
( p2(sK39(sK40))
| r1(sK39(sK40),sK25(sK39(sK40)))
| p2(sK40)
| ~ r1(sK38,sK40)
| ~ spl49_104 ),
inference(resolution,[],[f3629,f182]) ).
fof(f3663,plain,
( spl49_557
| spl49_558
| ~ spl49_4
| spl49_56
| ~ spl49_104 ),
inference(avatar_split_clause,[],[f3654,f798,f497,f201,f3660,f3656]) ).
fof(f3654,plain,
( p2(sK39(sK40))
| p2(sK25(sK39(sK40)))
| ~ spl49_4
| spl49_56
| ~ spl49_104 ),
inference(subsumption_resolution,[],[f3653,f203]) ).
fof(f3653,plain,
( p2(sK39(sK40))
| p2(sK25(sK39(sK40)))
| ~ r1(sK38,sK40)
| spl49_56
| ~ spl49_104 ),
inference(subsumption_resolution,[],[f3646,f498]) ).
fof(f3646,plain,
( p2(sK39(sK40))
| p2(sK25(sK39(sK40)))
| p2(sK40)
| ~ r1(sK38,sK40)
| ~ spl49_104 ),
inference(resolution,[],[f3630,f182]) ).
fof(f3624,plain,
( ~ spl49_4
| ~ spl49_6
| spl49_56
| ~ spl49_140 ),
inference(avatar_contradiction_clause,[],[f3623]) ).
fof(f3623,plain,
( $false
| ~ spl49_4
| ~ spl49_6
| spl49_56
| ~ spl49_140 ),
inference(subsumption_resolution,[],[f3622,f203]) ).
fof(f3622,plain,
( ~ r1(sK38,sK40)
| ~ spl49_4
| ~ spl49_6
| spl49_56
| ~ spl49_140 ),
inference(resolution,[],[f3524,f573]) ).
fof(f573,plain,
( sP1(sK38)
| ~ spl49_6 ),
inference(resolution,[],[f211,f153]) ).
fof(f153,plain,
! [X0] :
( ~ sP2(X0)
| sP1(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ( sP1(X0)
& ~ p2(sK33(X0))
& r1(X0,sK33(X0)) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33])],[f77,f78]) ).
fof(f78,plain,
! [X0] :
( ? [X1] :
( ~ p2(X1)
& r1(X0,X1) )
=> ( ~ p2(sK33(X0))
& r1(X0,sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ( sP1(X0)
& ? [X1] :
( ~ p2(X1)
& r1(X0,X1) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ( sP1(X0)
& ? [X51] :
( ~ p2(X51)
& r1(X0,X51) ) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f10]) ).
fof(f211,plain,
( sP2(sK38)
| ~ spl49_6 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f209,plain,
( spl49_6
<=> sP2(sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_6])]) ).
fof(f3524,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ r1(X0,sK40) )
| ~ spl49_4
| ~ spl49_6
| spl49_56
| ~ spl49_140 ),
inference(subsumption_resolution,[],[f3520,f498]) ).
fof(f3520,plain,
( ! [X0] :
( p2(sK40)
| ~ r1(X0,sK40)
| ~ sP1(X0) )
| ~ spl49_4
| ~ spl49_6
| spl49_56
| ~ spl49_140 ),
inference(resolution,[],[f3491,f156]) ).
fof(f156,plain,
! [X0,X1] :
( ~ p2(sK35(X1))
| p2(X1)
| ~ r1(X0,X1)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0] :
( ! [X1] :
( ( p2(sK34(X1))
& ~ p2(sK35(X1))
& r1(sK34(X1),sK35(X1))
& r1(X1,sK34(X1)) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f81,f83,f82]) ).
fof(f82,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK34(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK34(X1),X3) )
& r1(X1,sK34(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK34(X1),X3) )
=> ( ~ p2(sK35(X1))
& r1(sK34(X1),sK35(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1)
| ~ r1(X0,X1) )
| ~ sP1(X0) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0] :
( ! [X48] :
( ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48)
| ~ r1(X0,X48) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f3491,plain,
( p2(sK35(sK40))
| ~ spl49_4
| ~ spl49_6
| spl49_56
| ~ spl49_140 ),
inference(subsumption_resolution,[],[f3490,f498]) ).
fof(f3490,plain,
( p2(sK35(sK40))
| p2(sK40)
| ~ spl49_4
| ~ spl49_6
| ~ spl49_140 ),
inference(subsumption_resolution,[],[f3482,f203]) ).
fof(f3482,plain,
( p2(sK35(sK40))
| ~ r1(sK38,sK40)
| p2(sK40)
| ~ spl49_6
| ~ spl49_140 ),
inference(resolution,[],[f1021,f625]) ).
fof(f625,plain,
( ! [X0] :
( r1(sK34(X0),sK35(X0))
| ~ r1(sK38,X0)
| p2(X0) )
| ~ spl49_6 ),
inference(resolution,[],[f155,f573]) ).
fof(f155,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK34(X1),sK35(X1)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f1021,plain,
( ! [X0] :
( ~ r1(sK34(sK40),X0)
| p2(X0) )
| ~ spl49_140 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1020,plain,
( spl49_140
<=> ! [X0] :
( ~ r1(sK34(sK40),X0)
| p2(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_140])]) ).
fof(f2758,plain,
( ~ spl49_112
| spl49_140
| ~ spl49_55
| ~ spl49_100 ),
inference(avatar_split_clause,[],[f990,f777,f493,f1020,f840]) ).
fof(f840,plain,
( spl49_112
<=> r1(sK40,sK34(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_112])]) ).
fof(f493,plain,
( spl49_55
<=> p2(sK34(sK40)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_55])]) ).
fof(f990,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK40,sK34(sK40))
| ~ r1(sK34(sK40),X0) )
| ~ spl49_55
| ~ spl49_100 ),
inference(resolution,[],[f778,f495]) ).
fof(f495,plain,
( p2(sK34(sK40))
| ~ spl49_55 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f2757,plain,
( ~ spl49_6
| ~ spl49_35
| spl49_130
| ~ spl49_150 ),
inference(avatar_contradiction_clause,[],[f2756]) ).
fof(f2756,plain,
( $false
| ~ spl49_6
| ~ spl49_35
| spl49_130
| ~ spl49_150 ),
inference(subsumption_resolution,[],[f2755,f378]) ).
fof(f2755,plain,
( ~ r1(sK38,sK15(sK38))
| ~ spl49_6
| ~ spl49_35
| spl49_130
| ~ spl49_150 ),
inference(resolution,[],[f2732,f573]) ).
fof(f2732,plain,
( ! [X0] :
( ~ sP1(X0)
| ~ r1(X0,sK15(sK38)) )
| ~ spl49_6
| ~ spl49_35
| spl49_130
| ~ spl49_150 ),
inference(subsumption_resolution,[],[f2728,f967]) ).
fof(f2728,plain,
( ! [X0] :
( p2(sK15(sK38))
| ~ r1(X0,sK15(sK38))
| ~ sP1(X0) )
| ~ spl49_6
| ~ spl49_35
| spl49_130
| ~ spl49_150 ),
inference(resolution,[],[f2699,f156]) ).
fof(f2699,plain,
( p2(sK35(sK15(sK38)))
| ~ spl49_6
| ~ spl49_35
| spl49_130
| ~ spl49_150 ),
inference(subsumption_resolution,[],[f2698,f967]) ).
fof(f2698,plain,
( p2(sK35(sK15(sK38)))
| p2(sK15(sK38))
| ~ spl49_6
| ~ spl49_35
| ~ spl49_150 ),
inference(subsumption_resolution,[],[f2690,f378]) ).
fof(f2690,plain,
( p2(sK35(sK15(sK38)))
| ~ r1(sK38,sK15(sK38))
| p2(sK15(sK38))
| ~ spl49_6
| ~ spl49_150 ),
inference(resolution,[],[f1060,f625]) ).
fof(f1060,plain,
( ! [X0] :
( ~ r1(sK34(sK15(sK38)),X0)
| p2(X0) )
| ~ spl49_150 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1059,plain,
( spl49_150
<=> ! [X0] :
( p2(X0)
| ~ r1(sK34(sK15(sK38)),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_150])]) ).
fof(f2685,plain,
( ~ spl49_35
| spl49_150
| ~ spl49_6
| ~ spl49_128
| ~ spl49_129
| spl49_130 ),
inference(avatar_split_clause,[],[f2684,f966,f962,f949,f209,f1059,f376]) ).
fof(f962,plain,
( spl49_129
<=> p2(sK34(sK15(sK38))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_129])]) ).
fof(f2684,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK34(sK15(sK38)),X0)
| ~ r1(sK38,sK15(sK38)) )
| ~ spl49_6
| ~ spl49_128
| ~ spl49_129
| spl49_130 ),
inference(subsumption_resolution,[],[f2683,f967]) ).
fof(f2683,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK34(sK15(sK38)),X0)
| ~ r1(sK38,sK15(sK38))
| p2(sK15(sK38)) )
| ~ spl49_6
| ~ spl49_128
| ~ spl49_129 ),
inference(subsumption_resolution,[],[f2186,f964]) ).
fof(f964,plain,
( p2(sK34(sK15(sK38)))
| ~ spl49_129 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f2186,plain,
( ! [X0] :
( ~ p2(sK34(sK15(sK38)))
| p2(X0)
| ~ r1(sK34(sK15(sK38)),X0)
| ~ r1(sK38,sK15(sK38))
| p2(sK15(sK38)) )
| ~ spl49_6
| ~ spl49_128 ),
inference(resolution,[],[f950,f574]) ).
fof(f574,plain,
( ! [X0] :
( r1(X0,sK34(X0))
| ~ r1(sK38,X0)
| p2(X0) )
| ~ spl49_6 ),
inference(resolution,[],[f573,f154]) ).
fof(f154,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK34(X1)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f2658,plain,
( spl49_58
| ~ spl49_210
| ~ spl49_345 ),
inference(avatar_contradiction_clause,[],[f2657]) ).
fof(f2657,plain,
( $false
| spl49_58
| ~ spl49_210
| ~ spl49_345 ),
inference(subsumption_resolution,[],[f2656,f1434]) ).
fof(f1434,plain,
( r1(sK38,sK33(sK38))
| ~ spl49_210 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f1433,plain,
( spl49_210
<=> r1(sK38,sK33(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_210])]) ).
fof(f2656,plain,
( ~ r1(sK38,sK33(sK38))
| spl49_58
| ~ spl49_345 ),
inference(subsumption_resolution,[],[f2652,f508]) ).
fof(f508,plain,
( ~ p2(sK33(sK38))
| spl49_58 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f507,plain,
( spl49_58
<=> p2(sK33(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_58])]) ).
fof(f2652,plain,
( p2(sK33(sK38))
| ~ r1(sK38,sK33(sK38))
| ~ spl49_345 ),
inference(resolution,[],[f2274,f183]) ).
fof(f2274,plain,
( p2(sK39(sK33(sK38)))
| ~ spl49_345 ),
inference(avatar_component_clause,[],[f2272]) ).
fof(f2272,plain,
( spl49_345
<=> p2(sK39(sK33(sK38))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_345])]) ).
fof(f2651,plain,
( ~ spl49_36
| ~ spl49_210
| ~ spl49_383
| ~ spl49_393 ),
inference(avatar_contradiction_clause,[],[f2650]) ).
fof(f2650,plain,
( $false
| ~ spl49_36
| ~ spl49_210
| ~ spl49_383
| ~ spl49_393 ),
inference(subsumption_resolution,[],[f2645,f1434]) ).
fof(f2645,plain,
( ~ r1(sK38,sK33(sK38))
| ~ spl49_36
| ~ spl49_383
| ~ spl49_393 ),
inference(resolution,[],[f2642,f2560]) ).
fof(f2560,plain,
( r1(sK33(sK38),sK39(sK33(sK38)))
| ~ spl49_383 ),
inference(avatar_component_clause,[],[f2559]) ).
fof(f2559,plain,
( spl49_383
<=> r1(sK33(sK38),sK39(sK33(sK38))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_383])]) ).
fof(f2642,plain,
( ! [X0] :
( ~ r1(X0,sK39(sK33(sK38)))
| ~ r1(sK38,X0) )
| ~ spl49_36
| ~ spl49_393 ),
inference(resolution,[],[f2616,f382]) ).
fof(f2616,plain,
( ! [X0,X1] :
( ~ sP3(X1)
| ~ r1(X0,sK39(sK33(sK38)))
| ~ r1(X1,X0) )
| ~ spl49_393 ),
inference(avatar_component_clause,[],[f2615]) ).
fof(f2615,plain,
( spl49_393
<=> ! [X0,X1] :
( ~ r1(X0,sK39(sK33(sK38)))
| ~ sP3(X1)
| ~ r1(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_393])]) ).
fof(f2617,plain,
( spl49_393
| spl49_345
| ~ spl49_382 ),
inference(avatar_split_clause,[],[f2610,f2554,f2272,f2615]) ).
fof(f2554,plain,
( spl49_382
<=> p2(sK32(sK39(sK33(sK38)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_382])]) ).
fof(f2610,plain,
( ! [X0,X1] :
( p2(sK39(sK33(sK38)))
| ~ r1(X0,sK39(sK33(sK38)))
| ~ r1(X1,X0)
| ~ sP3(X1) )
| ~ spl49_382 ),
inference(resolution,[],[f2556,f149]) ).
fof(f2556,plain,
( p2(sK32(sK39(sK33(sK38))))
| ~ spl49_382 ),
inference(avatar_component_clause,[],[f2554]) ).
fof(f2609,plain,
( spl49_58
| ~ spl49_210
| spl49_383 ),
inference(avatar_contradiction_clause,[],[f2608]) ).
fof(f2608,plain,
( $false
| spl49_58
| ~ spl49_210
| spl49_383 ),
inference(subsumption_resolution,[],[f2607,f1434]) ).
fof(f2607,plain,
( ~ r1(sK38,sK33(sK38))
| spl49_58
| spl49_383 ),
inference(subsumption_resolution,[],[f2606,f508]) ).
fof(f2606,plain,
( p2(sK33(sK38))
| ~ r1(sK38,sK33(sK38))
| spl49_383 ),
inference(resolution,[],[f2561,f182]) ).
fof(f2561,plain,
( ~ r1(sK33(sK38),sK39(sK33(sK38)))
| spl49_383 ),
inference(avatar_component_clause,[],[f2559]) ).
fof(f2562,plain,
( ~ spl49_383
| spl49_345
| spl49_382
| ~ spl49_6
| ~ spl49_36
| ~ spl49_357 ),
inference(avatar_split_clause,[],[f2538,f2409,f380,f209,f2554,f2272,f2559]) ).
fof(f2409,plain,
( spl49_357
<=> ! [X0] :
( p2(X0)
| ~ r1(sK31(sK39(sK33(sK38))),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_357])]) ).
fof(f2538,plain,
( p2(sK32(sK39(sK33(sK38))))
| p2(sK39(sK33(sK38)))
| ~ r1(sK33(sK38),sK39(sK33(sK38)))
| ~ spl49_6
| ~ spl49_36
| ~ spl49_357 ),
inference(resolution,[],[f2410,f2235]) ).
fof(f2235,plain,
( ! [X0] :
( r1(sK31(X0),sK32(X0))
| p2(X0)
| ~ r1(sK33(sK38),X0) )
| ~ spl49_6
| ~ spl49_36 ),
inference(subsumption_resolution,[],[f2229,f211]) ).
fof(f2229,plain,
( ! [X0] :
( ~ r1(sK33(sK38),X0)
| p2(X0)
| r1(sK31(X0),sK32(X0))
| ~ sP2(sK38) )
| ~ spl49_36 ),
inference(resolution,[],[f2153,f151]) ).
fof(f151,plain,
! [X0] :
( r1(X0,sK33(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f2153,plain,
( ! [X0,X1] :
( ~ r1(sK38,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(sK31(X0),sK32(X0)) )
| ~ spl49_36 ),
inference(resolution,[],[f382,f148]) ).
fof(f2410,plain,
( ! [X0] :
( ~ r1(sK31(sK39(sK33(sK38))),X0)
| p2(X0) )
| ~ spl49_357 ),
inference(avatar_component_clause,[],[f2409]) ).
fof(f2536,plain,
( spl49_357
| spl49_58
| ~ spl49_210
| ~ spl49_211
| ~ spl49_260 ),
inference(avatar_split_clause,[],[f2535,f1737,f1437,f1433,f507,f2409]) ).
fof(f1437,plain,
( spl49_211
<=> p2(sK31(sK39(sK33(sK38)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_211])]) ).
fof(f1737,plain,
( spl49_260
<=> r1(sK39(sK33(sK38)),sK31(sK39(sK33(sK38)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_260])]) ).
fof(f2535,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK31(sK39(sK33(sK38))),X0) )
| spl49_58
| ~ spl49_210
| ~ spl49_211
| ~ spl49_260 ),
inference(subsumption_resolution,[],[f2534,f1434]) ).
fof(f2534,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK31(sK39(sK33(sK38))),X0)
| ~ r1(sK38,sK33(sK38)) )
| spl49_58
| ~ spl49_211
| ~ spl49_260 ),
inference(subsumption_resolution,[],[f2533,f508]) ).
fof(f2533,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK31(sK39(sK33(sK38))),X0)
| p2(sK33(sK38))
| ~ r1(sK38,sK33(sK38)) )
| ~ spl49_211
| ~ spl49_260 ),
inference(subsumption_resolution,[],[f2532,f1439]) ).
fof(f1439,plain,
( p2(sK31(sK39(sK33(sK38))))
| ~ spl49_211 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f2532,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK31(sK39(sK33(sK38))),X0)
| ~ p2(sK31(sK39(sK33(sK38))))
| p2(sK33(sK38))
| ~ r1(sK38,sK33(sK38)) )
| ~ spl49_260 ),
inference(resolution,[],[f1739,f184]) ).
fof(f1739,plain,
( r1(sK39(sK33(sK38)),sK31(sK39(sK33(sK38))))
| ~ spl49_260 ),
inference(avatar_component_clause,[],[f1737]) ).
fof(f2335,plain,
( spl49_260
| spl49_345
| ~ spl49_6
| ~ spl49_36
| spl49_58
| ~ spl49_210 ),
inference(avatar_split_clause,[],[f2334,f1433,f507,f380,f209,f2272,f1737]) ).
fof(f2334,plain,
( p2(sK39(sK33(sK38)))
| r1(sK39(sK33(sK38)),sK31(sK39(sK33(sK38))))
| ~ spl49_6
| ~ spl49_36
| spl49_58
| ~ spl49_210 ),
inference(subsumption_resolution,[],[f2333,f1434]) ).
fof(f2333,plain,
( p2(sK39(sK33(sK38)))
| r1(sK39(sK33(sK38)),sK31(sK39(sK33(sK38))))
| ~ r1(sK38,sK33(sK38))
| ~ spl49_6
| ~ spl49_36
| spl49_58 ),
inference(subsumption_resolution,[],[f2327,f508]) ).
fof(f2327,plain,
( p2(sK39(sK33(sK38)))
| r1(sK39(sK33(sK38)),sK31(sK39(sK33(sK38))))
| p2(sK33(sK38))
| ~ r1(sK38,sK33(sK38))
| ~ spl49_6
| ~ spl49_36 ),
inference(resolution,[],[f2222,f182]) ).
fof(f2222,plain,
( ! [X0] :
( ~ r1(sK33(sK38),X0)
| p2(X0)
| r1(X0,sK31(X0)) )
| ~ spl49_6
| ~ spl49_36 ),
inference(subsumption_resolution,[],[f2216,f211]) ).
fof(f2216,plain,
( ! [X0] :
( ~ r1(sK33(sK38),X0)
| p2(X0)
| r1(X0,sK31(X0))
| ~ sP2(sK38) )
| ~ spl49_36 ),
inference(resolution,[],[f2154,f151]) ).
fof(f2154,plain,
( ! [X0,X1] :
( ~ r1(sK38,X1)
| ~ r1(X1,X0)
| p2(X0)
| r1(X0,sK31(X0)) )
| ~ spl49_36 ),
inference(resolution,[],[f382,f147]) ).
fof(f2275,plain,
( spl49_211
| spl49_345
| ~ spl49_6
| ~ spl49_36
| spl49_58
| ~ spl49_210 ),
inference(avatar_split_clause,[],[f2270,f1433,f507,f380,f209,f2272,f1437]) ).
fof(f2270,plain,
( p2(sK39(sK33(sK38)))
| p2(sK31(sK39(sK33(sK38))))
| ~ spl49_6
| ~ spl49_36
| spl49_58
| ~ spl49_210 ),
inference(subsumption_resolution,[],[f2269,f1434]) ).
fof(f2269,plain,
( p2(sK39(sK33(sK38)))
| p2(sK31(sK39(sK33(sK38))))
| ~ r1(sK38,sK33(sK38))
| ~ spl49_6
| ~ spl49_36
| spl49_58 ),
inference(subsumption_resolution,[],[f2265,f508]) ).
fof(f2265,plain,
( p2(sK39(sK33(sK38)))
| p2(sK31(sK39(sK33(sK38))))
| p2(sK33(sK38))
| ~ r1(sK38,sK33(sK38))
| ~ spl49_6
| ~ spl49_36 ),
inference(resolution,[],[f2202,f182]) ).
fof(f2202,plain,
( ! [X0] :
( ~ r1(sK33(sK38),X0)
| p2(X0)
| p2(sK31(X0)) )
| ~ spl49_6
| ~ spl49_36 ),
inference(subsumption_resolution,[],[f2196,f211]) ).
fof(f2196,plain,
( ! [X0] :
( ~ r1(sK33(sK38),X0)
| p2(X0)
| p2(sK31(X0))
| ~ sP2(sK38) )
| ~ spl49_36 ),
inference(resolution,[],[f2155,f151]) ).
fof(f2155,plain,
( ! [X0,X1] :
( ~ r1(sK38,X1)
| ~ r1(X1,X0)
| p2(X0)
| p2(sK31(X0)) )
| ~ spl49_36 ),
inference(resolution,[],[f382,f150]) ).
fof(f2151,plain,
( spl49_36
| ~ spl49_1
| ~ spl49_130 ),
inference(avatar_split_clause,[],[f2150,f966,f187,f380]) ).
fof(f2150,plain,
( sP3(sK38)
| ~ spl49_1
| ~ spl49_130 ),
inference(subsumption_resolution,[],[f2068,f189]) ).
fof(f2068,plain,
( sP3(sK38)
| ~ sP14(sK38)
| ~ spl49_130 ),
inference(resolution,[],[f968,f104]) ).
fof(f104,plain,
! [X0] :
( ~ p2(sK15(X0))
| sP3(X0)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f968,plain,
( p2(sK15(sK38))
| ~ spl49_130 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f2127,plain,
( ~ spl49_6
| ~ spl49_58 ),
inference(avatar_contradiction_clause,[],[f2126]) ).
fof(f2126,plain,
( $false
| ~ spl49_6
| ~ spl49_58 ),
inference(subsumption_resolution,[],[f2122,f211]) ).
fof(f2122,plain,
( ~ sP2(sK38)
| ~ spl49_58 ),
inference(resolution,[],[f509,f152]) ).
fof(f152,plain,
! [X0] :
( ~ p2(sK33(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f509,plain,
( p2(sK33(sK38))
| ~ spl49_58 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f2121,plain,
( ~ spl49_6
| spl49_210 ),
inference(avatar_contradiction_clause,[],[f2120]) ).
fof(f2120,plain,
( $false
| ~ spl49_6
| spl49_210 ),
inference(subsumption_resolution,[],[f2119,f211]) ).
fof(f2119,plain,
( ~ sP2(sK38)
| spl49_210 ),
inference(resolution,[],[f1435,f151]) ).
fof(f1435,plain,
( ~ r1(sK38,sK33(sK38))
| spl49_210 ),
inference(avatar_component_clause,[],[f1433]) ).
fof(f969,plain,
( spl49_129
| spl49_130
| ~ spl49_6
| ~ spl49_35 ),
inference(avatar_split_clause,[],[f958,f376,f209,f966,f962]) ).
fof(f958,plain,
( p2(sK15(sK38))
| p2(sK34(sK15(sK38)))
| ~ spl49_6
| ~ spl49_35 ),
inference(resolution,[],[f378,f575]) ).
fof(f575,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(X0)
| p2(sK34(X0)) )
| ~ spl49_6 ),
inference(resolution,[],[f573,f157]) ).
fof(f157,plain,
! [X0,X1] :
( ~ sP1(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK34(X1)) ),
inference(cnf_transformation,[],[f84]) ).
fof(f952,plain,
( spl49_35
| spl49_36
| ~ spl49_1 ),
inference(avatar_split_clause,[],[f946,f187,f380,f376]) ).
fof(f946,plain,
( sP3(sK38)
| r1(sK38,sK15(sK38))
| ~ spl49_1 ),
inference(resolution,[],[f189,f103]) ).
fof(f103,plain,
! [X0] :
( ~ sP14(X0)
| sP3(X0)
| r1(X0,sK15(X0)) ),
inference(cnf_transformation,[],[f27]) ).
fof(f944,plain,
( spl49_56
| ~ spl49_4
| ~ spl49_6
| spl49_112 ),
inference(avatar_split_clause,[],[f909,f840,f209,f201,f497]) ).
fof(f909,plain,
( ~ r1(sK38,sK40)
| p2(sK40)
| ~ spl49_6
| spl49_112 ),
inference(resolution,[],[f574,f842]) ).
fof(f842,plain,
( ~ r1(sK40,sK34(sK40))
| spl49_112 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f941,plain,
( spl49_104
| ~ spl49_3
| ~ spl49_56 ),
inference(avatar_split_clause,[],[f940,f497,f196,f798]) ).
fof(f940,plain,
( sP6(sK40)
| ~ spl49_3
| ~ spl49_56 ),
inference(subsumption_resolution,[],[f932,f198]) ).
fof(f932,plain,
( sP6(sK40)
| ~ sP12(sK40)
| ~ spl49_56 ),
inference(resolution,[],[f499,f112]) ).
fof(f112,plain,
! [X0] :
( ~ p2(X0)
| sP6(X0)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f801,plain,
( spl49_104
| spl49_100
| ~ spl49_3 ),
inference(avatar_split_clause,[],[f796,f196,f777,f798]) ).
fof(f796,plain,
( ! [X0,X1] :
( p2(X0)
| ~ r1(X1,X0)
| ~ r1(sK40,X1)
| sP6(sK40)
| ~ p2(X1) )
| ~ spl49_3 ),
inference(resolution,[],[f114,f198]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ sP12(X0)
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1)
| sP6(X0)
| ~ p2(X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f656,plain,
( spl49_78
| spl49_56
| ~ spl49_4
| ~ spl49_9 ),
inference(avatar_split_clause,[],[f643,f221,f201,f497,f653]) ).
fof(f643,plain,
( p2(sK40)
| p2(sK36(sK40))
| ~ spl49_4
| ~ spl49_9 ),
inference(resolution,[],[f551,f203]) ).
fof(f551,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(X0)
| p2(sK36(X0)) )
| ~ spl49_9 ),
inference(resolution,[],[f223,f161]) ).
fof(f550,plain,
( ~ spl49_5
| ~ spl49_7
| ~ spl49_8 ),
inference(avatar_contradiction_clause,[],[f549]) ).
fof(f549,plain,
( $false
| ~ spl49_5
| ~ spl49_7
| ~ spl49_8 ),
inference(subsumption_resolution,[],[f548,f185]) ).
fof(f185,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(f548,plain,
( ~ r1(sK38,sK38)
| ~ spl49_5
| ~ spl49_7
| ~ spl49_8 ),
inference(resolution,[],[f545,f215]) ).
fof(f215,plain,
( ! [X10] :
( r1(X10,sK44(X10))
| ~ r1(sK38,X10) )
| ~ spl49_7 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f214,plain,
( spl49_7
<=> ! [X10] :
( r1(X10,sK44(X10))
| ~ r1(sK38,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_7])]) ).
fof(f545,plain,
( ~ r1(sK38,sK44(sK38))
| ~ spl49_5
| ~ spl49_8 ),
inference(resolution,[],[f524,f219]) ).
fof(f219,plain,
( ! [X17] :
( ~ p3(X17)
| ~ r1(sK38,X17) )
| ~ spl49_8 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f218,plain,
( spl49_8
<=> ! [X17] :
( ~ p3(X17)
| ~ r1(sK38,X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_8])]) ).
fof(f524,plain,
( p3(sK44(sK38))
| ~ spl49_5 ),
inference(resolution,[],[f207,f185]) ).
fof(f207,plain,
( ! [X10] :
( ~ r1(sK38,X10)
| p3(sK44(X10)) )
| ~ spl49_5 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f206,plain,
( spl49_5
<=> ! [X10] :
( p3(sK44(X10))
| ~ r1(sK38,X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl49_5])]) ).
fof(f500,plain,
( spl49_55
| spl49_56
| ~ spl49_4
| ~ spl49_6 ),
inference(avatar_split_clause,[],[f468,f209,f201,f497,f493]) ).
fof(f468,plain,
( p2(sK40)
| p2(sK34(sK40))
| ~ spl49_4
| ~ spl49_6 ),
inference(resolution,[],[f465,f203]) ).
fof(f465,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(X0)
| p2(sK34(X0)) )
| ~ spl49_6 ),
inference(resolution,[],[f157,f373]) ).
fof(f373,plain,
( sP1(sK38)
| ~ spl49_6 ),
inference(resolution,[],[f211,f153]) ).
fof(f234,plain,
( spl49_8
| spl49_11 ),
inference(avatar_split_clause,[],[f162,f231,f218]) ).
fof(f162,plain,
! [X17] :
( r1(sK38,sK48)
| ~ p3(X17)
| ~ r1(sK38,X17) ),
inference(cnf_transformation,[],[f102]) ).
fof(f229,plain,
( spl49_8
| ~ spl49_10 ),
inference(avatar_split_clause,[],[f163,f226,f218]) ).
fof(f163,plain,
! [X17] :
( ~ p2(sK48)
| ~ p3(X17)
| ~ r1(sK38,X17) ),
inference(cnf_transformation,[],[f102]) ).
fof(f224,plain,
( spl49_8
| spl49_9 ),
inference(avatar_split_clause,[],[f164,f221,f218]) ).
fof(f164,plain,
! [X17] :
( sP0(sK38)
| ~ p3(X17)
| ~ r1(sK38,X17) ),
inference(cnf_transformation,[],[f102]) ).
fof(f216,plain,
( spl49_7
| spl49_6 ),
inference(avatar_split_clause,[],[f171,f209,f214]) ).
fof(f171,plain,
! [X10] :
( sP2(sK38)
| r1(X10,sK44(X10))
| ~ r1(sK38,X10) ),
inference(cnf_transformation,[],[f102]) ).
fof(f212,plain,
( spl49_5
| spl49_6 ),
inference(avatar_split_clause,[],[f172,f209,f206]) ).
fof(f172,plain,
! [X10] :
( sP2(sK38)
| p3(sK44(X10))
| ~ r1(sK38,X10) ),
inference(cnf_transformation,[],[f102]) ).
fof(f204,plain,
( spl49_1
| spl49_4 ),
inference(avatar_split_clause,[],[f179,f201,f187]) ).
fof(f179,plain,
( r1(sK38,sK40)
| sP14(sK38) ),
inference(cnf_transformation,[],[f102]) ).
fof(f199,plain,
( spl49_1
| spl49_3 ),
inference(avatar_split_clause,[],[f180,f196,f187]) ).
fof(f180,plain,
( sP12(sK40)
| sP14(sK38) ),
inference(cnf_transformation,[],[f102]) ).
fof(f194,plain,
( spl49_1
| spl49_2 ),
inference(avatar_split_clause,[],[f181,f191,f187]) ).
fof(f181,plain,
( sP13(sK40)
| sP14(sK38) ),
inference(cnf_transformation,[],[f102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL660+1.001 : TPTP v8.1.2. Released v4.0.0.
% 0.15/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n014.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Fri May 3 13:49:16 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.22/0.36 % (29307)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (29309)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.38 % (29308)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.22/0.38 % (29311)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.22/0.38 % (29312)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.22/0.38 % (29313)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.22/0.38 % (29314)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)
% 0.22/0.38 % (29310)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)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [4]
% 0.22/0.39 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [4]
% 0.22/0.41 TRYING [5]
% 0.22/0.41 TRYING [5]
% 0.22/0.42 TRYING [5]
% 0.22/0.42 TRYING [5]
% 0.22/0.47 TRYING [6]
% 0.22/0.47 TRYING [6]
% 0.22/0.48 % (29313)First to succeed.
% 0.22/0.48 TRYING [6]
% 0.22/0.48 TRYING [6]
% 0.22/0.48 % (29313)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-29307"
% 0.22/0.49 % (29313)Refutation found. Thanks to Tanya!
% 0.22/0.49 % SZS status Theorem for theBenchmark
% 0.22/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49 % (29313)------------------------------
% 0.22/0.49 % (29313)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.49 % (29313)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (29313)Memory used [KB]: 3045
% 0.22/0.49 % (29313)Time elapsed: 0.106 s
% 0.22/0.49 % (29313)Instructions burned: 199 (million)
% 0.22/0.49 % (29307)Success in time 0.123 s
%------------------------------------------------------------------------------