TSTP Solution File: LCL660+1.005 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : LCL660+1.005 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n004.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 : Wed Aug 31 17:49:17 EDT 2022
% Result : Theorem 4.05s 1.04s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 104
% Syntax : Number of formulae : 469 ( 3 unt; 0 def)
% Number of atoms : 4031 ( 0 equ)
% Maximal formula atoms : 204 ( 8 avg)
% Number of connectives : 5940 (2378 ~;2652 |; 817 &)
% ( 51 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 38 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 67 ( 66 usr; 52 prp; 0-2 aty)
% Number of functors : 42 ( 42 usr; 13 con; 0-1 aty)
% Number of variables : 1355 (1031 !; 324 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8691,plain,
$false,
inference(avatar_sat_refutation,[],[f251,f267,f272,f314,f319,f342,f347,f351,f375,f383,f388,f406,f410,f789,f800,f1090,f1217,f1601,f1626,f2259,f2308,f2331,f2341,f2440,f2450,f2766,f2771,f2807,f2949,f2956,f3007,f3025,f3096,f3381,f3589,f3636,f3685,f3845,f3858,f4266,f4502,f4508,f4574,f4886,f6138,f8353,f8357,f8454,f8515,f8557,f8560,f8589,f8648,f8690]) ).
fof(f8690,plain,
( spl55_620
| ~ spl55_32
| ~ spl55_619
| ~ spl55_1320 ),
inference(avatar_split_clause,[],[f8689,f8586,f3987,f340,f3992]) ).
fof(f3992,plain,
( spl55_620
<=> ! [X2] :
( ~ r1(sK39(sK51),X2)
| p2(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_620])]) ).
fof(f340,plain,
( spl55_32
<=> ! [X40,X39] :
( ~ r1(sK51,X39)
| ~ p2(X39)
| p2(X40)
| ~ r1(X39,X40) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_32])]) ).
fof(f3987,plain,
( spl55_619
<=> r1(sK51,sK39(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_619])]) ).
fof(f8586,plain,
( spl55_1320
<=> p2(sK39(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_1320])]) ).
fof(f8689,plain,
( ! [X2] :
( ~ r1(sK39(sK51),X2)
| p2(X2) )
| ~ spl55_32
| ~ spl55_619
| ~ spl55_1320 ),
inference(subsumption_resolution,[],[f8683,f8588]) ).
fof(f8588,plain,
( p2(sK39(sK51))
| ~ spl55_1320 ),
inference(avatar_component_clause,[],[f8586]) ).
fof(f8683,plain,
( ! [X2] :
( p2(X2)
| ~ p2(sK39(sK51))
| ~ r1(sK39(sK51),X2) )
| ~ spl55_32
| ~ spl55_619 ),
inference(resolution,[],[f341,f3988]) ).
fof(f3988,plain,
( r1(sK51,sK39(sK51))
| ~ spl55_619 ),
inference(avatar_component_clause,[],[f3987]) ).
fof(f341,plain,
( ! [X40,X39] :
( ~ r1(sK51,X39)
| ~ r1(X39,X40)
| ~ p2(X39)
| p2(X40) )
| ~ spl55_32 ),
inference(avatar_component_clause,[],[f340]) ).
fof(f8648,plain,
( ~ spl55_27
| spl55_33
| ~ spl55_46
| spl55_619 ),
inference(avatar_contradiction_clause,[],[f8647]) ).
fof(f8647,plain,
( $false
| ~ spl55_27
| spl55_33
| ~ spl55_46
| spl55_619 ),
inference(subsumption_resolution,[],[f8646,f346]) ).
fof(f346,plain,
( ~ p2(sK51)
| spl55_33 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f344,plain,
( spl55_33
<=> p2(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_33])]) ).
fof(f8646,plain,
( p2(sK51)
| ~ spl55_27
| ~ spl55_46
| spl55_619 ),
inference(subsumption_resolution,[],[f8643,f3989]) ).
fof(f3989,plain,
( ~ r1(sK51,sK39(sK51))
| spl55_619 ),
inference(avatar_component_clause,[],[f3987]) ).
fof(f8643,plain,
( r1(sK51,sK39(sK51))
| p2(sK51)
| ~ spl55_27
| ~ spl55_46 ),
inference(resolution,[],[f405,f318]) ).
fof(f318,plain,
( r1(sK32,sK51)
| ~ spl55_27 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f316,plain,
( spl55_27
<=> r1(sK32,sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_27])]) ).
fof(f405,plain,
( ! [X13] :
( ~ r1(sK32,X13)
| p2(X13)
| r1(X13,sK39(X13)) )
| ~ spl55_46 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f404,plain,
( spl55_46
<=> ! [X13] :
( p2(X13)
| ~ r1(sK32,X13)
| r1(X13,sK39(X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_46])]) ).
fof(f8589,plain,
( spl55_1320
| spl55_33
| ~ spl55_26
| ~ spl55_27 ),
inference(avatar_split_clause,[],[f3867,f316,f312,f344,f8586]) ).
fof(f312,plain,
( spl55_26
<=> ! [X13] :
( p2(X13)
| p2(sK39(X13))
| ~ r1(sK32,X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_26])]) ).
fof(f3867,plain,
( p2(sK51)
| p2(sK39(sK51))
| ~ spl55_26
| ~ spl55_27 ),
inference(resolution,[],[f318,f313]) ).
fof(f313,plain,
( ! [X13] :
( ~ r1(sK32,X13)
| p2(sK39(X13))
| p2(X13) )
| ~ spl55_26 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f8560,plain,
( spl55_483
| ~ spl55_11
| ~ spl55_26
| ~ spl55_135
| spl55_136
| spl55_159
| ~ spl55_479 ),
inference(avatar_split_clause,[],[f8559,f3022,f1086,f957,f953,f312,f245,f3046]) ).
fof(f3046,plain,
( spl55_483
<=> ! [X2] :
( p2(X2)
| ~ r1(sK39(sK12(sK32)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_483])]) ).
fof(f245,plain,
( spl55_11
<=> sP7(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_11])]) ).
fof(f953,plain,
( spl55_135
<=> r1(sK32,sK12(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_135])]) ).
fof(f957,plain,
( spl55_136
<=> sP6(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_136])]) ).
fof(f1086,plain,
( spl55_159
<=> p2(sK12(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_159])]) ).
fof(f3022,plain,
( spl55_479
<=> r1(sK12(sK32),sK39(sK12(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_479])]) ).
fof(f8559,plain,
( ! [X0] :
( ~ r1(sK39(sK12(sK32)),X0)
| p2(X0) )
| ~ spl55_11
| ~ spl55_26
| ~ spl55_135
| spl55_136
| spl55_159
| ~ spl55_479 ),
inference(subsumption_resolution,[],[f8477,f8558]) ).
fof(f8558,plain,
( p2(sK39(sK12(sK32)))
| ~ spl55_26
| ~ spl55_135
| spl55_159 ),
inference(subsumption_resolution,[],[f8468,f1087]) ).
fof(f1087,plain,
( ~ p2(sK12(sK32))
| spl55_159 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f8468,plain,
( p2(sK39(sK12(sK32)))
| p2(sK12(sK32))
| ~ spl55_26
| ~ spl55_135 ),
inference(resolution,[],[f955,f313]) ).
fof(f955,plain,
( r1(sK32,sK12(sK32))
| ~ spl55_135 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f8477,plain,
( ! [X0] :
( p2(X0)
| ~ p2(sK39(sK12(sK32)))
| ~ r1(sK39(sK12(sK32)),X0) )
| ~ spl55_11
| spl55_136
| ~ spl55_479 ),
inference(resolution,[],[f8459,f3024]) ).
fof(f3024,plain,
( r1(sK12(sK32),sK39(sK12(sK32)))
| ~ spl55_479 ),
inference(avatar_component_clause,[],[f3022]) ).
fof(f8459,plain,
( ! [X0,X1] :
( ~ r1(sK12(sK32),X0)
| p2(X1)
| ~ r1(X0,X1)
| ~ p2(X0) )
| ~ spl55_11
| spl55_136 ),
inference(subsumption_resolution,[],[f8455,f958]) ).
fof(f958,plain,
( ~ sP6(sK32)
| spl55_136 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f8455,plain,
( ! [X0,X1] :
( ~ r1(X0,X1)
| ~ r1(sK12(sK32),X0)
| ~ p2(X0)
| sP6(sK32)
| p2(X1) )
| ~ spl55_11 ),
inference(resolution,[],[f247,f102]) ).
fof(f102,plain,
! [X0,X4,X5] :
( ~ sP7(X0)
| ~ r1(sK12(X0),X4)
| p2(X5)
| ~ r1(X4,X5)
| ~ p2(X4)
| sP6(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( ( ( r1(sK10(X0),sK11(X0))
& ~ p2(sK11(X0))
& r1(X0,sK10(X0))
& p2(sK10(X0)) )
| p2(X0) )
& ( sP6(X0)
| ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK12(X0),X4) )
& ~ p2(sK12(X0))
& r1(X0,sK12(X0)) ) ) )
| ~ sP7(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f24,f27,f26,f25]) ).
fof(f25,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X1,X2)
& ~ p2(X2) )
& r1(X0,X1)
& p2(X1) )
=> ( ? [X2] :
( r1(sK10(X0),X2)
& ~ p2(X2) )
& r1(X0,sK10(X0))
& p2(sK10(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
( ? [X2] :
( r1(sK10(X0),X2)
& ~ p2(X2) )
=> ( r1(sK10(X0),sK11(X0))
& ~ p2(sK11(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) )
=> ( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(sK12(X0),X4) )
& ~ p2(sK12(X0))
& r1(X0,sK12(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
( ( ( ? [X1] :
( ? [X2] :
( r1(X1,X2)
& ~ p2(X2) )
& r1(X0,X1)
& p2(X1) )
| p2(X0) )
& ( sP6(X0)
| ? [X3] :
( ! [X4] :
( ~ p2(X4)
| ! [X5] :
( p2(X5)
| ~ r1(X4,X5) )
| ~ r1(X3,X4) )
& ~ p2(X3)
& r1(X0,X3) ) ) )
| ~ sP7(X0) ),
inference(rectify,[],[f23]) ).
fof(f23,plain,
! [X0] :
( ( ( ? [X26] :
( ? [X27] :
( r1(X26,X27)
& ~ p2(X27) )
& r1(X0,X26)
& p2(X26) )
| p2(X0) )
& ( sP6(X0)
| ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X0,X32) ) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0] :
( ( ( ? [X26] :
( ? [X27] :
( r1(X26,X27)
& ~ p2(X27) )
& r1(X0,X26)
& p2(X26) )
| p2(X0) )
& ( sP6(X0)
| ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X0,X32) ) ) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f247,plain,
( sP7(sK32)
| ~ spl55_11 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f8557,plain,
( ~ spl55_40
| ~ spl55_135
| spl55_159
| ~ spl55_1306 ),
inference(avatar_contradiction_clause,[],[f8556]) ).
fof(f8556,plain,
( $false
| ~ spl55_40
| ~ spl55_135
| spl55_159
| ~ spl55_1306 ),
inference(subsumption_resolution,[],[f8555,f955]) ).
fof(f8555,plain,
( ~ r1(sK32,sK12(sK32))
| ~ spl55_40
| ~ spl55_135
| spl55_159
| ~ spl55_1306 ),
inference(resolution,[],[f8539,f379]) ).
fof(f379,plain,
( sP0(sK32)
| ~ spl55_40 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl55_40
<=> sP0(sK32) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_40])]) ).
fof(f8539,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK12(sK32)) )
| ~ spl55_40
| ~ spl55_135
| spl55_159
| ~ spl55_1306 ),
inference(subsumption_resolution,[],[f8522,f1087]) ).
fof(f8522,plain,
( ! [X0] :
( ~ r1(X0,sK12(sK32))
| p2(sK12(sK32))
| ~ sP0(X0) )
| ~ spl55_40
| ~ spl55_135
| spl55_159
| ~ spl55_1306 ),
inference(resolution,[],[f8520,f142]) ).
fof(f142,plain,
! [X2,X0] :
( ~ p2(sK31(X2))
| ~ r1(X0,X2)
| p2(X2)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] :
( ( r1(X0,sK29(X0))
& ~ p2(sK29(X0))
& ! [X2] :
( ( p2(sK30(X2))
& r1(X2,sK30(X2))
& r1(sK30(X2),sK31(X2))
& ~ p2(sK31(X2)) )
| ~ r1(X0,X2)
| p2(X2) ) )
| ~ sP0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31])],[f64,f67,f66,f65]) ).
fof(f65,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ~ p2(X1) )
=> ( r1(X0,sK29(X0))
& ~ p2(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f66,plain,
! [X2] :
( ? [X3] :
( p2(X3)
& r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) ) )
=> ( p2(sK30(X2))
& r1(X2,sK30(X2))
& ? [X4] :
( r1(sK30(X2),X4)
& ~ p2(X4) ) ) ),
introduced(choice_axiom,[]) ).
fof(f67,plain,
! [X2] :
( ? [X4] :
( r1(sK30(X2),X4)
& ~ p2(X4) )
=> ( r1(sK30(X2),sK31(X2))
& ~ p2(sK31(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f64,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ~ p2(X1) )
& ! [X2] :
( ? [X3] :
( p2(X3)
& r1(X2,X3)
& ? [X4] :
( r1(X3,X4)
& ~ p2(X4) ) )
| ~ r1(X0,X2)
| p2(X2) ) )
| ~ sP0(X0) ),
inference(rectify,[],[f63]) ).
fof(f63,plain,
! [X0] :
( ( ? [X81] :
( r1(X0,X81)
& ~ p2(X81) )
& ! [X78] :
( ? [X79] :
( p2(X79)
& r1(X78,X79)
& ? [X80] :
( r1(X79,X80)
& ~ p2(X80) ) )
| ~ r1(X0,X78)
| p2(X78) ) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0] :
( ( ? [X81] :
( r1(X0,X81)
& ~ p2(X81) )
& ! [X78] :
( ? [X79] :
( p2(X79)
& r1(X78,X79)
& ? [X80] :
( r1(X79,X80)
& ~ p2(X80) ) )
| ~ r1(X0,X78)
| p2(X78) ) )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8520,plain,
( p2(sK31(sK12(sK32)))
| ~ spl55_40
| ~ spl55_135
| spl55_159
| ~ spl55_1306 ),
inference(resolution,[],[f8502,f8475]) ).
fof(f8475,plain,
( r1(sK30(sK12(sK32)),sK31(sK12(sK32)))
| ~ spl55_40
| ~ spl55_135
| spl55_159 ),
inference(subsumption_resolution,[],[f8470,f1087]) ).
fof(f8470,plain,
( r1(sK30(sK12(sK32)),sK31(sK12(sK32)))
| p2(sK12(sK32))
| ~ spl55_40
| ~ spl55_135 ),
inference(resolution,[],[f955,f3389]) ).
fof(f3389,plain,
( ! [X0] :
( ~ r1(sK32,X0)
| p2(X0)
| r1(sK30(X0),sK31(X0)) )
| ~ spl55_40 ),
inference(resolution,[],[f379,f143]) ).
fof(f143,plain,
! [X2,X0] :
( ~ sP0(X0)
| ~ r1(X0,X2)
| r1(sK30(X2),sK31(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f8502,plain,
( ! [X2] :
( ~ r1(sK30(sK12(sK32)),X2)
| p2(X2) )
| ~ spl55_1306 ),
inference(avatar_component_clause,[],[f8501]) ).
fof(f8501,plain,
( spl55_1306
<=> ! [X2] :
( p2(X2)
| ~ r1(sK30(sK12(sK32)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_1306])]) ).
fof(f8515,plain,
( spl55_1306
| ~ spl55_11
| ~ spl55_40
| ~ spl55_135
| spl55_136
| spl55_159 ),
inference(avatar_split_clause,[],[f8514,f1086,f957,f953,f377,f245,f8501]) ).
fof(f8514,plain,
( ! [X0] :
( ~ r1(sK30(sK12(sK32)),X0)
| p2(X0) )
| ~ spl55_11
| ~ spl55_40
| ~ spl55_135
| spl55_136
| spl55_159 ),
inference(subsumption_resolution,[],[f8513,f8473]) ).
fof(f8473,plain,
( p2(sK30(sK12(sK32)))
| ~ spl55_40
| ~ spl55_135
| spl55_159 ),
inference(subsumption_resolution,[],[f8472,f1087]) ).
fof(f8472,plain,
( p2(sK12(sK32))
| p2(sK30(sK12(sK32)))
| ~ spl55_40
| ~ spl55_135 ),
inference(resolution,[],[f955,f3391]) ).
fof(f3391,plain,
( ! [X2] :
( ~ r1(sK32,X2)
| p2(sK30(X2))
| p2(X2) )
| ~ spl55_40 ),
inference(resolution,[],[f379,f145]) ).
fof(f145,plain,
! [X2,X0] :
( ~ sP0(X0)
| ~ r1(X0,X2)
| p2(sK30(X2))
| p2(X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f8513,plain,
( ! [X0] :
( ~ r1(sK30(sK12(sK32)),X0)
| ~ p2(sK30(sK12(sK32)))
| p2(X0) )
| ~ spl55_11
| ~ spl55_40
| ~ spl55_135
| spl55_136
| spl55_159 ),
inference(resolution,[],[f8476,f8459]) ).
fof(f8476,plain,
( r1(sK12(sK32),sK30(sK12(sK32)))
| ~ spl55_40
| ~ spl55_135
| spl55_159 ),
inference(subsumption_resolution,[],[f8471,f1087]) ).
fof(f8471,plain,
( r1(sK12(sK32),sK30(sK12(sK32)))
| p2(sK12(sK32))
| ~ spl55_40
| ~ spl55_135 ),
inference(resolution,[],[f955,f3390]) ).
fof(f3390,plain,
( ! [X1] :
( ~ r1(sK32,X1)
| r1(X1,sK30(X1))
| p2(X1) )
| ~ spl55_40 ),
inference(resolution,[],[f379,f144]) ).
fof(f144,plain,
! [X2,X0] :
( ~ sP0(X0)
| p2(X2)
| r1(X2,sK30(X2))
| ~ r1(X0,X2) ),
inference(cnf_transformation,[],[f68]) ).
fof(f8454,plain,
( spl55_401
| ~ spl55_31
| ~ spl55_254
| spl55_286
| ~ spl55_447 ),
inference(avatar_split_clause,[],[f8453,f2768,f1798,f1623,f336,f2487]) ).
fof(f2487,plain,
( spl55_401
<=> ! [X2] :
( p2(X2)
| ~ r1(sK15(sK25(sK51)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_401])]) ).
fof(f336,plain,
( spl55_31
<=> sP2(sK51) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_31])]) ).
fof(f1623,plain,
( spl55_254
<=> sP5(sK24(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_254])]) ).
fof(f1798,plain,
( spl55_286
<=> p2(sK25(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_286])]) ).
fof(f2768,plain,
( spl55_447
<=> p2(sK15(sK25(sK51))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_447])]) ).
fof(f8453,plain,
( ! [X3] :
( p2(X3)
| ~ r1(sK15(sK25(sK51)),X3) )
| ~ spl55_31
| ~ spl55_254
| spl55_286
| ~ spl55_447 ),
inference(subsumption_resolution,[],[f8452,f2770]) ).
fof(f2770,plain,
( p2(sK15(sK25(sK51)))
| ~ spl55_447 ),
inference(avatar_component_clause,[],[f2768]) ).
fof(f8452,plain,
( ! [X3] :
( ~ p2(sK15(sK25(sK51)))
| ~ r1(sK15(sK25(sK51)),X3)
| p2(X3) )
| ~ spl55_31
| ~ spl55_254
| spl55_286 ),
inference(resolution,[],[f8445,f4569]) ).
fof(f4569,plain,
( ! [X0,X1] :
( ~ r1(sK25(sK51),X1)
| ~ r1(X1,X0)
| p2(X0)
| ~ p2(X1) )
| ~ spl55_31 ),
inference(resolution,[],[f338,f134]) ).
fof(f134,plain,
! [X3,X0,X4] :
( ~ sP2(X0)
| p2(X4)
| ~ p2(X3)
| ~ r1(sK25(X0),X3)
| ~ r1(X3,X4) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0] :
( ( r1(X0,sK24(X0))
& r1(sK24(X0),sK25(X0))
& ~ p2(sK25(X0))
& ! [X3] :
( ~ p2(X3)
| ~ r1(sK25(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) )
& ! [X5] :
( ( ~ p2(sK27(X5))
& r1(sK26(X5),sK27(X5))
& p2(sK26(X5))
& r1(X5,sK26(X5)) )
| p2(X5)
| ~ r1(X0,X5) ) )
| ~ sP2(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25,sK26,sK27])],[f53,f57,f56,f55,f54]) ).
fof(f54,plain,
! [X0] :
( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) ) ) )
=> ( r1(X0,sK24(X0))
& ? [X2] :
( r1(sK24(X0),X2)
& ~ p2(X2)
& ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0] :
( ? [X2] :
( r1(sK24(X0),X2)
& ~ p2(X2)
& ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) ) )
=> ( r1(sK24(X0),sK25(X0))
& ~ p2(sK25(X0))
& ! [X3] :
( ~ p2(X3)
| ~ r1(sK25(X0),X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X5] :
( ? [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
& p2(X6)
& r1(X5,X6) )
=> ( ? [X7] :
( ~ p2(X7)
& r1(sK26(X5),X7) )
& p2(sK26(X5))
& r1(X5,sK26(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X5] :
( ? [X7] :
( ~ p2(X7)
& r1(sK26(X5),X7) )
=> ( ~ p2(sK27(X5))
& r1(sK26(X5),sK27(X5)) ) ),
introduced(choice_axiom,[]) ).
fof(f53,plain,
! [X0] :
( ( ? [X1] :
( r1(X0,X1)
& ? [X2] :
( r1(X1,X2)
& ~ p2(X2)
& ! [X3] :
( ~ p2(X3)
| ~ r1(X2,X3)
| ! [X4] :
( ~ r1(X3,X4)
| p2(X4) ) ) ) )
& ! [X5] :
( ? [X6] :
( ? [X7] :
( ~ p2(X7)
& r1(X6,X7) )
& p2(X6)
& r1(X5,X6) )
| p2(X5)
| ~ r1(X0,X5) ) )
| ~ sP2(X0) ),
inference(rectify,[],[f52]) ).
fof(f52,plain,
! [X35] :
( ( ? [X41] :
( r1(X35,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42)
& ! [X43] :
( ~ p2(X43)
| ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) ) ) ) )
& ! [X38] :
( ? [X39] :
( ? [X40] :
( ~ p2(X40)
& r1(X39,X40) )
& p2(X39)
& r1(X38,X39) )
| p2(X38)
| ~ r1(X35,X38) ) )
| ~ sP2(X35) ),
inference(nnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X35] :
( ( ? [X41] :
( r1(X35,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42)
& ! [X43] :
( ~ p2(X43)
| ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) ) ) ) )
& ! [X38] :
( ? [X39] :
( ? [X40] :
( ~ p2(X40)
& r1(X39,X40) )
& p2(X39)
& r1(X38,X39) )
| p2(X38)
| ~ r1(X35,X38) ) )
| ~ sP2(X35) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f338,plain,
( sP2(sK51)
| ~ spl55_31 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f8445,plain,
( r1(sK25(sK51),sK15(sK25(sK51)))
| ~ spl55_31
| ~ spl55_254
| spl55_286 ),
inference(subsumption_resolution,[],[f8444,f338]) ).
fof(f8444,plain,
( ~ sP2(sK51)
| r1(sK25(sK51),sK15(sK25(sK51)))
| ~ spl55_254
| spl55_286 ),
inference(subsumption_resolution,[],[f8441,f1800]) ).
fof(f1800,plain,
( ~ p2(sK25(sK51))
| spl55_286 ),
inference(avatar_component_clause,[],[f1798]) ).
fof(f8441,plain,
( p2(sK25(sK51))
| r1(sK25(sK51),sK15(sK25(sK51)))
| ~ sP2(sK51)
| ~ spl55_254 ),
inference(resolution,[],[f8391,f136]) ).
fof(f136,plain,
! [X0] :
( r1(sK24(X0),sK25(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f8391,plain,
( ! [X4] :
( ~ r1(sK24(sK51),X4)
| p2(X4)
| r1(X4,sK15(X4)) )
| ~ spl55_254 ),
inference(resolution,[],[f1625,f116]) ).
fof(f116,plain,
! [X0,X1] :
( ~ sP5(X0)
| ~ r1(X0,X1)
| r1(X1,sK15(X1))
| p2(X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ( p2(sK15(X1))
& r1(X1,sK15(X1))
& ~ p2(sK16(X1))
& r1(sK15(X1),sK16(X1)) )
| p2(X1) )
& ( ( ! [X5] :
( ~ r1(sK17(X1),X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5) )
& r1(X1,sK17(X1))
& ~ p2(sK17(X1)) )
| sP3(X1) ) ) )
| ~ sP5(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16,sK17])],[f35,f38,f37,f36]) ).
fof(f36,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) ) )
=> ( p2(sK15(X1))
& r1(X1,sK15(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK15(X1),X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK15(X1),X3) )
=> ( ~ p2(sK16(X1))
& r1(sK15(X1),sK16(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
! [X1] :
( ? [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5) )
& r1(X1,X4)
& ~ p2(X4) )
=> ( ! [X5] :
( ~ r1(sK17(X1),X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5) )
& r1(X1,sK17(X1))
& ~ p2(sK17(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ( ( ? [X2] :
( p2(X2)
& r1(X1,X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) ) )
| p2(X1) )
& ( ? [X4] :
( ! [X5] :
( ~ r1(X4,X5)
| ! [X6] :
( ~ r1(X5,X6)
| p2(X6) )
| ~ p2(X5) )
& r1(X1,X4)
& ~ p2(X4) )
| sP3(X1) ) ) )
| ~ sP5(X0) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X45] :
( ! [X55] :
( ~ r1(X45,X55)
| ( ( ? [X56] :
( p2(X56)
& r1(X55,X56)
& ? [X57] :
( ~ p2(X57)
& r1(X56,X57) ) )
| p2(X55) )
& ( ? [X58] :
( ! [X59] :
( ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) )
& r1(X55,X58)
& ~ p2(X58) )
| sP3(X55) ) ) )
| ~ sP5(X45) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X45] :
( ! [X55] :
( ~ r1(X45,X55)
| ( ( ? [X56] :
( p2(X56)
& r1(X55,X56)
& ? [X57] :
( ~ p2(X57)
& r1(X56,X57) ) )
| p2(X55) )
& ( ? [X58] :
( ! [X59] :
( ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) )
& r1(X55,X58)
& ~ p2(X58) )
| sP3(X55) ) ) )
| ~ sP5(X45) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1625,plain,
( sP5(sK24(sK51))
| ~ spl55_254 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f8357,plain,
( spl55_254
| spl55_253
| ~ spl55_400
| ~ spl55_709
| ~ spl55_765 ),
inference(avatar_split_clause,[],[f8356,f4884,f4510,f2447,f1619,f1623]) ).
fof(f1619,plain,
( spl55_253
<=> sP4(sK24(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_253])]) ).
fof(f2447,plain,
( spl55_400
<=> r1(sK24(sK51),sK26(sK24(sK51))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_400])]) ).
fof(f4510,plain,
( spl55_709
<=> r1(sK51,sK24(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_709])]) ).
fof(f4884,plain,
( spl55_765
<=> ! [X34] :
( ~ r1(sK51,X34)
| sP5(X34)
| ~ r1(X34,sK26(sK24(sK51)))
| sP4(X34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_765])]) ).
fof(f8356,plain,
( sP5(sK24(sK51))
| spl55_253
| ~ spl55_400
| ~ spl55_709
| ~ spl55_765 ),
inference(subsumption_resolution,[],[f8355,f4511]) ).
fof(f4511,plain,
( r1(sK51,sK24(sK51))
| ~ spl55_709 ),
inference(avatar_component_clause,[],[f4510]) ).
fof(f8355,plain,
( sP5(sK24(sK51))
| ~ r1(sK51,sK24(sK51))
| spl55_253
| ~ spl55_400
| ~ spl55_765 ),
inference(subsumption_resolution,[],[f5239,f1620]) ).
fof(f1620,plain,
( ~ sP4(sK24(sK51))
| spl55_253 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f5239,plain,
( sP4(sK24(sK51))
| ~ r1(sK51,sK24(sK51))
| sP5(sK24(sK51))
| ~ spl55_400
| ~ spl55_765 ),
inference(resolution,[],[f4885,f2449]) ).
fof(f2449,plain,
( r1(sK24(sK51),sK26(sK24(sK51)))
| ~ spl55_400 ),
inference(avatar_component_clause,[],[f2447]) ).
fof(f4885,plain,
( ! [X34] :
( ~ r1(X34,sK26(sK24(sK51)))
| ~ r1(sK51,X34)
| sP5(X34)
| sP4(X34) )
| ~ spl55_765 ),
inference(avatar_component_clause,[],[f4884]) ).
fof(f8353,plain,
( ~ spl55_31
| ~ spl55_253
| spl55_286
| ~ spl55_856 ),
inference(avatar_contradiction_clause,[],[f8352]) ).
fof(f8352,plain,
( $false
| ~ spl55_31
| ~ spl55_253
| spl55_286
| ~ spl55_856 ),
inference(subsumption_resolution,[],[f8351,f1621]) ).
fof(f1621,plain,
( sP4(sK24(sK51))
| ~ spl55_253 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f8351,plain,
( ~ sP4(sK24(sK51))
| ~ spl55_31
| ~ spl55_253
| spl55_286
| ~ spl55_856 ),
inference(subsumption_resolution,[],[f8350,f338]) ).
fof(f8350,plain,
( ~ sP2(sK51)
| ~ sP4(sK24(sK51))
| ~ spl55_31
| ~ spl55_253
| spl55_286
| ~ spl55_856 ),
inference(resolution,[],[f8045,f136]) ).
fof(f8045,plain,
( ! [X0] :
( ~ r1(X0,sK25(sK51))
| ~ sP4(X0) )
| ~ spl55_31
| ~ spl55_253
| spl55_286
| ~ spl55_856 ),
inference(subsumption_resolution,[],[f8012,f1800]) ).
fof(f8012,plain,
( ! [X0] :
( ~ sP4(X0)
| p2(sK25(sK51))
| ~ r1(X0,sK25(sK51)) )
| ~ spl55_31
| ~ spl55_253
| spl55_286
| ~ spl55_856 ),
inference(resolution,[],[f8008,f124]) ).
fof(f124,plain,
! [X0,X1] :
( ~ p2(sK19(X1))
| p2(X1)
| ~ sP4(X0)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ( p2(sK18(X1))
& ~ p2(sK19(X1))
& r1(sK18(X1),sK19(X1))
& r1(X1,sK18(X1)) )
| p2(X1) )
& ~ p2(sK21(X0))
& r1(sK20(X0),sK21(X0))
& ! [X6] :
( ~ r1(sK21(X0),X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) )
& r1(X0,sK20(X0)) )
| ~ sP4(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f41,f45,f44,f43,f42]) ).
fof(f42,plain,
! [X1] :
( ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
=> ( p2(sK18(X1))
& ? [X3] :
( ~ p2(X3)
& r1(sK18(X1),X3) )
& r1(X1,sK18(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
! [X1] :
( ? [X3] :
( ~ p2(X3)
& r1(sK18(X1),X3) )
=> ( ~ p2(sK19(X1))
& r1(sK18(X1),sK19(X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ p2(X5)
& r1(X4,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) ) )
& r1(X0,X4) )
=> ( ? [X5] :
( ~ p2(X5)
& r1(sK20(X0),X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) ) )
& r1(X0,sK20(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0] :
( ? [X5] :
( ~ p2(X5)
& r1(sK20(X0),X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) ) )
=> ( ~ p2(sK21(X0))
& r1(sK20(X0),sK21(X0))
& ! [X6] :
( ~ r1(sK21(X0),X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ( ! [X1] :
( ~ r1(X0,X1)
| ? [X2] :
( p2(X2)
& ? [X3] :
( ~ p2(X3)
& r1(X2,X3) )
& r1(X1,X2) )
| p2(X1) )
& ? [X4] :
( ? [X5] :
( ~ p2(X5)
& r1(X4,X5)
& ! [X6] :
( ~ r1(X5,X6)
| ~ p2(X6)
| ! [X7] :
( ~ r1(X6,X7)
| p2(X7) ) ) )
& r1(X0,X4) ) )
| ~ sP4(X0) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X45] :
( ( ! [X48] :
( ~ r1(X45,X48)
| ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48) )
& ? [X51] :
( ? [X52] :
( ~ p2(X52)
& r1(X51,X52)
& ! [X53] :
( ~ r1(X52,X53)
| ~ p2(X53)
| ! [X54] :
( ~ r1(X53,X54)
| p2(X54) ) ) )
& r1(X45,X51) ) )
| ~ sP4(X45) ),
inference(nnf_transformation,[],[f13]) ).
fof(f13,plain,
! [X45] :
( ( ! [X48] :
( ~ r1(X45,X48)
| ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48) )
& ? [X51] :
( ? [X52] :
( ~ p2(X52)
& r1(X51,X52)
& ! [X53] :
( ~ r1(X52,X53)
| ~ p2(X53)
| ! [X54] :
( ~ r1(X53,X54)
| p2(X54) ) ) )
& r1(X45,X51) ) )
| ~ sP4(X45) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f8008,plain,
( p2(sK19(sK25(sK51)))
| ~ spl55_31
| ~ spl55_253
| spl55_286
| ~ spl55_856 ),
inference(resolution,[],[f5450,f6475]) ).
fof(f6475,plain,
( r1(sK18(sK25(sK51)),sK19(sK25(sK51)))
| ~ spl55_31
| ~ spl55_253
| spl55_286 ),
inference(subsumption_resolution,[],[f6474,f1800]) ).
fof(f6474,plain,
( p2(sK25(sK51))
| r1(sK18(sK25(sK51)),sK19(sK25(sK51)))
| ~ spl55_31
| ~ spl55_253 ),
inference(subsumption_resolution,[],[f6471,f338]) ).
fof(f6471,plain,
( r1(sK18(sK25(sK51)),sK19(sK25(sK51)))
| ~ sP2(sK51)
| p2(sK25(sK51))
| ~ spl55_253 ),
inference(resolution,[],[f6167,f136]) ).
fof(f6167,plain,
( ! [X2] :
( ~ r1(sK24(sK51),X2)
| r1(sK18(X2),sK19(X2))
| p2(X2) )
| ~ spl55_253 ),
inference(resolution,[],[f1621,f123]) ).
fof(f123,plain,
! [X0,X1] :
( ~ sP4(X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(sK18(X1),sK19(X1)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f5450,plain,
( ! [X4] :
( ~ r1(sK18(sK25(sK51)),X4)
| p2(X4) )
| ~ spl55_856 ),
inference(avatar_component_clause,[],[f5449]) ).
fof(f5449,plain,
( spl55_856
<=> ! [X4] :
( p2(X4)
| ~ r1(sK18(sK25(sK51)),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_856])]) ).
fof(f6138,plain,
( spl55_856
| ~ spl55_31
| ~ spl55_253
| spl55_286 ),
inference(avatar_split_clause,[],[f6137,f1798,f1619,f336,f5449]) ).
fof(f6137,plain,
( ! [X3] :
( p2(X3)
| ~ r1(sK18(sK25(sK51)),X3) )
| ~ spl55_31
| ~ spl55_253
| spl55_286 ),
inference(subsumption_resolution,[],[f6136,f5425]) ).
fof(f5425,plain,
( p2(sK18(sK25(sK51)))
| ~ spl55_31
| ~ spl55_253
| spl55_286 ),
inference(subsumption_resolution,[],[f5424,f1800]) ).
fof(f5424,plain,
( p2(sK18(sK25(sK51)))
| p2(sK25(sK51))
| ~ spl55_31
| ~ spl55_253 ),
inference(subsumption_resolution,[],[f5421,f338]) ).
fof(f5421,plain,
( p2(sK18(sK25(sK51)))
| ~ sP2(sK51)
| p2(sK25(sK51))
| ~ spl55_253 ),
inference(resolution,[],[f4601,f136]) ).
fof(f4601,plain,
( ! [X4] :
( ~ r1(sK24(sK51),X4)
| p2(sK18(X4))
| p2(X4) )
| ~ spl55_253 ),
inference(resolution,[],[f1621,f125]) ).
fof(f125,plain,
! [X0,X1] :
( ~ sP4(X0)
| p2(sK18(X1))
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f6136,plain,
( ! [X3] :
( ~ r1(sK18(sK25(sK51)),X3)
| p2(X3)
| ~ p2(sK18(sK25(sK51))) )
| ~ spl55_31
| ~ spl55_253
| spl55_286 ),
inference(resolution,[],[f5517,f4569]) ).
fof(f5517,plain,
( r1(sK25(sK51),sK18(sK25(sK51)))
| ~ spl55_31
| ~ spl55_253
| spl55_286 ),
inference(subsumption_resolution,[],[f5516,f338]) ).
fof(f5516,plain,
( r1(sK25(sK51),sK18(sK25(sK51)))
| ~ sP2(sK51)
| ~ spl55_253
| spl55_286 ),
inference(subsumption_resolution,[],[f5513,f1800]) ).
fof(f5513,plain,
( r1(sK25(sK51),sK18(sK25(sK51)))
| p2(sK25(sK51))
| ~ sP2(sK51)
| ~ spl55_253 ),
inference(resolution,[],[f4600,f136]) ).
fof(f4600,plain,
( ! [X3] :
( ~ r1(sK24(sK51),X3)
| r1(X3,sK18(X3))
| p2(X3) )
| ~ spl55_253 ),
inference(resolution,[],[f1621,f122]) ).
fof(f122,plain,
! [X0,X1] :
( ~ sP4(X0)
| r1(X1,sK18(X1))
| p2(X1)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f4886,plain,
( spl55_269
| spl55_765
| ~ spl55_12
| ~ spl55_248 ),
inference(avatar_split_clause,[],[f4167,f1594,f249,f4884,f1701]) ).
fof(f1701,plain,
( spl55_269
<=> ! [X2] :
( p2(X2)
| ~ r1(sK26(sK24(sK51)),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_269])]) ).
fof(f249,plain,
( spl55_12
<=> ! [X38,X36,X37] :
( ~ r1(X36,X37)
| p2(X38)
| ~ r1(sK51,X36)
| ~ r1(X37,X38)
| sP5(X36)
| sP4(X36)
| ~ p2(X37) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_12])]) ).
fof(f1594,plain,
( spl55_248
<=> p2(sK26(sK24(sK51))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_248])]) ).
fof(f4167,plain,
( ! [X34,X35] :
( ~ r1(sK51,X34)
| sP4(X34)
| ~ r1(X34,sK26(sK24(sK51)))
| sP5(X34)
| p2(X35)
| ~ r1(sK26(sK24(sK51)),X35) )
| ~ spl55_12
| ~ spl55_248 ),
inference(resolution,[],[f250,f1596]) ).
fof(f1596,plain,
( p2(sK26(sK24(sK51)))
| ~ spl55_248 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f250,plain,
( ! [X38,X36,X37] :
( ~ p2(X37)
| ~ r1(X37,X38)
| sP4(X36)
| ~ r1(sK51,X36)
| p2(X38)
| sP5(X36)
| ~ r1(X36,X37) )
| ~ spl55_12 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f4574,plain,
( spl55_709
| ~ spl55_31 ),
inference(avatar_split_clause,[],[f4573,f336,f4510]) ).
fof(f4573,plain,
( r1(sK51,sK24(sK51))
| ~ spl55_31 ),
inference(resolution,[],[f338,f137]) ).
fof(f137,plain,
! [X0] :
( ~ sP2(X0)
| r1(X0,sK24(X0)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f4508,plain,
( spl55_643
| ~ spl55_27
| ~ spl55_32
| spl55_33
| ~ spl55_40 ),
inference(avatar_split_clause,[],[f4507,f377,f344,f340,f316,f4126]) ).
fof(f4126,plain,
( spl55_643
<=> ! [X2] :
( ~ r1(sK30(sK51),X2)
| p2(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_643])]) ).
fof(f4507,plain,
( ! [X0] :
( p2(X0)
| ~ r1(sK30(sK51),X0) )
| ~ spl55_27
| ~ spl55_32
| spl55_33
| ~ spl55_40 ),
inference(subsumption_resolution,[],[f4255,f3875]) ).
fof(f3875,plain,
( p2(sK30(sK51))
| ~ spl55_27
| spl55_33
| ~ spl55_40 ),
inference(subsumption_resolution,[],[f3871,f346]) ).
fof(f3871,plain,
( p2(sK51)
| p2(sK30(sK51))
| ~ spl55_27
| ~ spl55_40 ),
inference(resolution,[],[f318,f3391]) ).
fof(f4255,plain,
( ! [X0] :
( ~ p2(sK30(sK51))
| ~ r1(sK30(sK51),X0)
| p2(X0) )
| ~ spl55_27
| ~ spl55_32
| spl55_33
| ~ spl55_40 ),
inference(resolution,[],[f3874,f341]) ).
fof(f3874,plain,
( r1(sK51,sK30(sK51))
| ~ spl55_27
| spl55_33
| ~ spl55_40 ),
inference(subsumption_resolution,[],[f3870,f346]) ).
fof(f3870,plain,
( p2(sK51)
| r1(sK51,sK30(sK51))
| ~ spl55_27
| ~ spl55_40 ),
inference(resolution,[],[f318,f3390]) ).
fof(f4502,plain,
( ~ spl55_27
| spl55_33
| ~ spl55_40
| ~ spl55_643 ),
inference(avatar_contradiction_clause,[],[f4501]) ).
fof(f4501,plain,
( $false
| ~ spl55_27
| spl55_33
| ~ spl55_40
| ~ spl55_643 ),
inference(subsumption_resolution,[],[f4500,f318]) ).
fof(f4500,plain,
( ~ r1(sK32,sK51)
| ~ spl55_27
| spl55_33
| ~ spl55_40
| ~ spl55_643 ),
inference(resolution,[],[f4390,f379]) ).
fof(f4390,plain,
( ! [X0] :
( ~ sP0(X0)
| ~ r1(X0,sK51) )
| ~ spl55_27
| spl55_33
| ~ spl55_40
| ~ spl55_643 ),
inference(subsumption_resolution,[],[f4353,f346]) ).
fof(f4353,plain,
( ! [X0] :
( p2(sK51)
| ~ sP0(X0)
| ~ r1(X0,sK51) )
| ~ spl55_27
| spl55_33
| ~ spl55_40
| ~ spl55_643 ),
inference(resolution,[],[f4351,f142]) ).
fof(f4351,plain,
( p2(sK31(sK51))
| ~ spl55_27
| spl55_33
| ~ spl55_40
| ~ spl55_643 ),
inference(resolution,[],[f4127,f3873]) ).
fof(f3873,plain,
( r1(sK30(sK51),sK31(sK51))
| ~ spl55_27
| spl55_33
| ~ spl55_40 ),
inference(subsumption_resolution,[],[f3869,f346]) ).
fof(f3869,plain,
( p2(sK51)
| r1(sK30(sK51),sK31(sK51))
| ~ spl55_27
| ~ spl55_40 ),
inference(resolution,[],[f318,f3389]) ).
fof(f4127,plain,
( ! [X2] :
( ~ r1(sK30(sK51),X2)
| p2(X2) )
| ~ spl55_643 ),
inference(avatar_component_clause,[],[f4126]) ).
fof(f4266,plain,
( ~ spl55_15
| ~ spl55_27
| spl55_33
| ~ spl55_34
| ~ spl55_620 ),
inference(avatar_contradiction_clause,[],[f4265]) ).
fof(f4265,plain,
( $false
| ~ spl55_15
| ~ spl55_27
| spl55_33
| ~ spl55_34
| ~ spl55_620 ),
inference(subsumption_resolution,[],[f4264,f318]) ).
fof(f4264,plain,
( ~ r1(sK32,sK51)
| ~ spl55_15
| ~ spl55_27
| spl55_33
| ~ spl55_34
| ~ spl55_620 ),
inference(subsumption_resolution,[],[f4259,f346]) ).
fof(f4259,plain,
( p2(sK51)
| ~ r1(sK32,sK51)
| ~ spl55_15
| ~ spl55_27
| spl55_33
| ~ spl55_34
| ~ spl55_620 ),
inference(resolution,[],[f4257,f350]) ).
fof(f350,plain,
( ! [X13] :
( ~ p2(sK40(X13))
| ~ r1(sK32,X13)
| p2(X13) )
| ~ spl55_34 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl55_34
<=> ! [X13] :
( ~ r1(sK32,X13)
| ~ p2(sK40(X13))
| p2(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_34])]) ).
fof(f4257,plain,
( p2(sK40(sK51))
| ~ spl55_15
| ~ spl55_27
| spl55_33
| ~ spl55_620 ),
inference(resolution,[],[f3993,f3872]) ).
fof(f3872,plain,
( r1(sK39(sK51),sK40(sK51))
| ~ spl55_15
| ~ spl55_27
| spl55_33 ),
inference(subsumption_resolution,[],[f3866,f346]) ).
fof(f3866,plain,
( p2(sK51)
| r1(sK39(sK51),sK40(sK51))
| ~ spl55_15
| ~ spl55_27 ),
inference(resolution,[],[f318,f263]) ).
fof(f263,plain,
( ! [X13] :
( ~ r1(sK32,X13)
| r1(sK39(X13),sK40(X13))
| p2(X13) )
| ~ spl55_15 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f262,plain,
( spl55_15
<=> ! [X13] :
( ~ r1(sK32,X13)
| p2(X13)
| r1(sK39(X13),sK40(X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_15])]) ).
fof(f3993,plain,
( ! [X2] :
( ~ r1(sK39(sK51),X2)
| p2(X2) )
| ~ spl55_620 ),
inference(avatar_component_clause,[],[f3992]) ).
fof(f3858,plain,
( ~ spl55_40
| ~ spl55_112
| spl55_113
| ~ spl55_136
| spl55_560
| ~ spl55_571 ),
inference(avatar_contradiction_clause,[],[f3857]) ).
fof(f3857,plain,
( $false
| ~ spl55_40
| ~ spl55_112
| spl55_113
| ~ spl55_136
| spl55_560
| ~ spl55_571 ),
inference(subsumption_resolution,[],[f3856,f3392]) ).
fof(f3392,plain,
( r1(sK32,sK29(sK32))
| ~ spl55_40 ),
inference(resolution,[],[f379,f147]) ).
fof(f147,plain,
! [X0] :
( ~ sP0(X0)
| r1(X0,sK29(X0)) ),
inference(cnf_transformation,[],[f68]) ).
fof(f3856,plain,
( ~ r1(sK32,sK29(sK32))
| ~ spl55_40
| ~ spl55_112
| spl55_113
| ~ spl55_136
| spl55_560
| ~ spl55_571 ),
inference(subsumption_resolution,[],[f3855,f787]) ).
fof(f787,plain,
( ~ p2(sK29(sK32))
| spl55_113 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f786,plain,
( spl55_113
<=> p2(sK29(sK32)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_113])]) ).
fof(f3855,plain,
( p2(sK29(sK32))
| ~ r1(sK32,sK29(sK32))
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136
| spl55_560
| ~ spl55_571 ),
inference(resolution,[],[f3635,f3687]) ).
fof(f3687,plain,
( r1(sK50(sK29(sK32)),sK13(sK50(sK29(sK32))))
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136
| spl55_560 ),
inference(subsumption_resolution,[],[f3647,f3583]) ).
fof(f3583,plain,
( ~ p2(sK50(sK29(sK32)))
| spl55_560 ),
inference(avatar_component_clause,[],[f3582]) ).
fof(f3582,plain,
( spl55_560
<=> p2(sK50(sK29(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_560])]) ).
fof(f3647,plain,
( r1(sK50(sK29(sK32)),sK13(sK50(sK29(sK32))))
| p2(sK50(sK29(sK32)))
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136 ),
inference(resolution,[],[f3404,f784]) ).
fof(f784,plain,
( r1(sK29(sK32),sK50(sK29(sK32)))
| ~ spl55_112 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f782,plain,
( spl55_112
<=> r1(sK29(sK32),sK50(sK29(sK32))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_112])]) ).
fof(f3404,plain,
( ! [X1] :
( ~ r1(sK29(sK32),X1)
| p2(X1)
| r1(X1,sK13(X1)) )
| ~ spl55_40
| ~ spl55_136 ),
inference(resolution,[],[f3392,f3129]) ).
fof(f3129,plain,
( ! [X2,X3] :
( ~ r1(sK32,X2)
| r1(X3,sK13(X3))
| p2(X3)
| ~ r1(X2,X3) )
| ~ spl55_136 ),
inference(resolution,[],[f959,f110]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ sP6(X0)
| ~ r1(X0,X1)
| r1(X2,sK13(X2))
| ~ r1(X1,X2)
| p2(X2) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( p2(X2)
| ( r1(X2,sK13(X2))
& ~ p2(sK14(X2))
& r1(sK13(X2),sK14(X2))
& p2(sK13(X2)) )
| ~ r1(X1,X2) ) )
| ~ sP6(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f30,f32,f31]) ).
fof(f31,plain,
! [X2] :
( ? [X3] :
( r1(X2,X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& p2(X3) )
=> ( r1(X2,sK13(X2))
& ? [X4] :
( ~ p2(X4)
& r1(sK13(X2),X4) )
& p2(sK13(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X2] :
( ? [X4] :
( ~ p2(X4)
& r1(sK13(X2),X4) )
=> ( ~ p2(sK14(X2))
& r1(sK13(X2),sK14(X2)) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ! [X2] :
( p2(X2)
| ? [X3] :
( r1(X2,X3)
& ? [X4] :
( ~ p2(X4)
& r1(X3,X4) )
& p2(X3) )
| ~ r1(X1,X2) ) )
| ~ sP6(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X0] :
( ! [X28] :
( ~ r1(X0,X28)
| ! [X29] :
( p2(X29)
| ? [X30] :
( r1(X29,X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& p2(X30) )
| ~ r1(X28,X29) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0] :
( ! [X28] :
( ~ r1(X0,X28)
| ! [X29] :
( p2(X29)
| ? [X30] :
( r1(X29,X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& p2(X30) )
| ~ r1(X28,X29) ) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f959,plain,
( sP6(sK32)
| ~ spl55_136 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f3635,plain,
( ! [X3] :
( ~ r1(sK50(X3),sK13(sK50(sK29(sK32))))
| p2(X3)
| ~ r1(sK32,X3) )
| ~ spl55_571 ),
inference(avatar_component_clause,[],[f3634]) ).
fof(f3634,plain,
( spl55_571
<=> ! [X3] :
( ~ r1(sK50(X3),sK13(sK50(sK29(sK32))))
| p2(X3)
| ~ r1(sK32,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_571])]) ).
fof(f3845,plain,
( ~ spl55_40
| ~ spl55_112
| ~ spl55_136
| spl55_560
| ~ spl55_570 ),
inference(avatar_contradiction_clause,[],[f3844]) ).
fof(f3844,plain,
( $false
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136
| spl55_560
| ~ spl55_570 ),
inference(subsumption_resolution,[],[f3843,f3392]) ).
fof(f3843,plain,
( ~ r1(sK32,sK29(sK32))
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136
| spl55_560
| ~ spl55_570 ),
inference(resolution,[],[f3766,f784]) ).
fof(f3766,plain,
( ! [X0] :
( ~ r1(X0,sK50(sK29(sK32)))
| ~ r1(sK32,X0) )
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136
| spl55_560
| ~ spl55_570 ),
inference(resolution,[],[f3754,f959]) ).
fof(f3754,plain,
( ! [X0,X1] :
( ~ sP6(X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK50(sK29(sK32))) )
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136
| spl55_560
| ~ spl55_570 ),
inference(subsumption_resolution,[],[f3744,f3583]) ).
fof(f3744,plain,
( ! [X0,X1] :
( ~ sP6(X0)
| ~ r1(X1,sK50(sK29(sK32)))
| p2(sK50(sK29(sK32)))
| ~ r1(X0,X1) )
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136
| spl55_560
| ~ spl55_570 ),
inference(resolution,[],[f3742,f109]) ).
fof(f109,plain,
! [X2,X0,X1] :
( ~ p2(sK14(X2))
| p2(X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f3742,plain,
( p2(sK14(sK50(sK29(sK32))))
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136
| spl55_560
| ~ spl55_570 ),
inference(resolution,[],[f3632,f3686]) ).
fof(f3686,plain,
( r1(sK13(sK50(sK29(sK32))),sK14(sK50(sK29(sK32))))
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136
| spl55_560 ),
inference(subsumption_resolution,[],[f3657,f3583]) ).
fof(f3657,plain,
( p2(sK50(sK29(sK32)))
| r1(sK13(sK50(sK29(sK32))),sK14(sK50(sK29(sK32))))
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136 ),
inference(resolution,[],[f3403,f784]) ).
fof(f3403,plain,
( ! [X0] :
( ~ r1(sK29(sK32),X0)
| p2(X0)
| r1(sK13(X0),sK14(X0)) )
| ~ spl55_40
| ~ spl55_136 ),
inference(resolution,[],[f3392,f3128]) ).
fof(f3128,plain,
( ! [X0,X1] :
( ~ r1(sK32,X1)
| ~ r1(X1,X0)
| r1(sK13(X0),sK14(X0))
| p2(X0) )
| ~ spl55_136 ),
inference(resolution,[],[f959,f108]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ sP6(X0)
| r1(sK13(X2),sK14(X2))
| p2(X2)
| ~ r1(X1,X2)
| ~ r1(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f3632,plain,
( ! [X2] :
( ~ r1(sK13(sK50(sK29(sK32))),X2)
| p2(X2) )
| ~ spl55_570 ),
inference(avatar_component_clause,[],[f3631]) ).
fof(f3631,plain,
( spl55_570
<=> ! [X2] :
( p2(X2)
| ~ r1(sK13(sK50(sK29(sK32))),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_570])]) ).
fof(f3685,plain,
( ~ spl55_40
| spl55_113
| ~ spl55_560 ),
inference(avatar_contradiction_clause,[],[f3684]) ).
fof(f3684,plain,
( $false
| ~ spl55_40
| spl55_113
| ~ spl55_560 ),
inference(subsumption_resolution,[],[f3683,f787]) ).
fof(f3683,plain,
( p2(sK29(sK32))
| ~ spl55_40
| ~ spl55_560 ),
inference(subsumption_resolution,[],[f3665,f3392]) ).
fof(f3665,plain,
( ~ r1(sK32,sK29(sK32))
| p2(sK29(sK32))
| ~ spl55_560 ),
inference(resolution,[],[f3584,f162]) ).
fof(f162,plain,
! [X31] :
( ~ p2(sK50(X31))
| ~ r1(sK32,X31)
| p2(X31) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( ( ~ p1(sK33)
& r1(sK33,sK34)
& r1(sK32,sK33)
& ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ r1(sK33,X3)
| ( ~ p1(X3)
& r1(X3,sK35(X3)) ) ) )
| ! [X7] : ~ r1(sK32,X7)
| p1(sK32) )
& ( p2(sK32)
| ! [X8] : ~ r1(sK32,X8)
| p4(sK32)
| ( sP8(sK36)
& ~ p2(sK36)
& ~ p1(sK36)
& r1(sK36,sK37)
& r1(sK32,sK36)
& ~ p4(sK36)
& ~ p3(sK36) )
| p1(sK32)
| p3(sK32) )
& ( ! [X11] :
( ~ r1(sK32,X11)
| ~ p5(X11) )
| ( ~ p2(sK38)
& r1(sK32,sK38)
& ! [X13] :
( p2(X13)
| ~ r1(sK32,X13)
| ( r1(sK39(X13),sK40(X13))
& ~ p2(sK40(X13))
& p2(sK39(X13))
& r1(X13,sK39(X13)) ) ) ) )
& r1(sK32,sK41)
& ~ p1(sK41)
& ! [X17] :
( ~ r1(sK32,X17)
| ( r1(sK42(X17),sK43(X17))
& ~ p3(sK43(X17))
& r1(X17,sK42(X17))
& p3(sK42(X17)) )
| p3(X17) )
& ( ! [X20] : ~ r1(sK32,X20)
| ( r1(sK44,sK45)
& r1(sK32,sK44)
& ~ p1(sK44)
& ! [X23] :
( ( r1(X23,sK46(X23))
& ~ p2(X23)
& ~ p1(X23) )
| ! [X25] :
( p2(X25)
| ~ r1(X23,X25)
| ! [X26] : ~ r1(X25,X26)
| p1(X25) )
| ~ r1(sK44,X23) )
& ~ p2(sK44) )
| p1(sK32)
| p2(sK32) )
& r1(sK32,sK47)
& ~ p3(sK47)
& ! [X28] :
( p1(X28)
| ~ r1(sK32,X28)
| ( p1(sK48(X28))
& r1(X28,sK48(X28))
& ~ p1(sK49(X28))
& r1(sK48(X28),sK49(X28)) ) )
& ! [X31] :
( ~ r1(sK32,X31)
| p2(X31)
| ( r1(X31,sK50(X31))
& ~ p2(sK50(X31))
& ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(sK50(X31),X33) ) ) )
& ( sP7(sK32)
| ( ! [X36] :
( ( ~ p2(X36)
& ! [X37] :
( ~ p2(X37)
| ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ r1(X36,X37) ) )
| sP5(X36)
| sP4(X36)
| ~ r1(sK51,X36) )
& r1(sK32,sK51)
& ( sP2(sK51)
| ( ! [X39] :
( ~ r1(sK51,X39)
| ~ p2(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) ) )
& ~ p2(sK51) ) ) ) )
& ( p3(sK32)
| p1(sK32)
| ! [X41] : ~ r1(sK32,X41)
| p2(sK32)
| ( sP1(sK52)
& ~ p2(sK52)
& ~ p3(sK52)
& ~ p1(sK52)
& r1(sK32,sK52)
& r1(sK52,sK53) ) )
& ( ! [X44] :
( ~ r1(sK32,X44)
| ( r1(X44,sK54(X44))
& p5(sK54(X44)) ) )
| sP0(sK32) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39,sK40,sK41,sK42,sK43,sK44,sK45,sK46,sK47,sK48,sK49,sK50,sK51,sK52,sK53,sK54])],[f69,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70]) ).
fof(f70,plain,
( ? [X0] :
( ( ? [X1] :
( ~ p1(X1)
& ? [X2] : r1(X1,X2)
& r1(X0,X1)
& ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ r1(X1,X3)
| ( ~ p1(X3)
& ? [X6] : r1(X3,X6) ) ) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( p2(X0)
| ! [X8] : ~ r1(X0,X8)
| p4(X0)
| ? [X9] :
( sP8(X9)
& ~ p2(X9)
& ~ p1(X9)
& ? [X10] : r1(X9,X10)
& r1(X0,X9)
& ~ p4(X9)
& ~ p3(X9) )
| p1(X0)
| p3(X0) )
& ( ! [X11] :
( ~ r1(X0,X11)
| ~ p5(X11) )
| ( ? [X12] :
( ~ p2(X12)
& r1(X0,X12) )
& ! [X13] :
( p2(X13)
| ~ r1(X0,X13)
| ? [X14] :
( ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14)
& r1(X13,X14) ) ) ) )
& ? [X16] :
( r1(X0,X16)
& ~ p1(X16) )
& ! [X17] :
( ~ r1(X0,X17)
| ? [X18] :
( ? [X19] :
( r1(X18,X19)
& ~ p3(X19) )
& r1(X17,X18)
& p3(X18) )
| p3(X17) )
& ( ! [X20] : ~ r1(X0,X20)
| ? [X21] :
( ? [X22] : r1(X21,X22)
& r1(X0,X21)
& ~ p1(X21)
& ! [X23] :
( ( ? [X24] : r1(X23,X24)
& ~ p2(X23)
& ~ p1(X23) )
| ! [X25] :
( p2(X25)
| ~ r1(X23,X25)
| ! [X26] : ~ r1(X25,X26)
| p1(X25) )
| ~ r1(X21,X23) )
& ~ p2(X21) )
| p1(X0)
| p2(X0) )
& ? [X27] :
( r1(X0,X27)
& ~ p3(X27) )
& ! [X28] :
( p1(X28)
| ~ r1(X0,X28)
| ? [X29] :
( p1(X29)
& r1(X28,X29)
& ? [X30] :
( ~ p1(X30)
& r1(X29,X30) ) ) )
& ! [X31] :
( ~ r1(X0,X31)
| p2(X31)
| ? [X32] :
( r1(X31,X32)
& ~ p2(X32)
& ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) ) ) )
& ( sP7(X0)
| ? [X35] :
( ! [X36] :
( ( ~ p2(X36)
& ! [X37] :
( ~ p2(X37)
| ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ r1(X36,X37) ) )
| sP5(X36)
| sP4(X36)
| ~ r1(X35,X36) )
& r1(X0,X35)
& ( sP2(X35)
| ( ! [X39] :
( ~ r1(X35,X39)
| ~ p2(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) ) )
& ~ p2(X35) ) ) ) )
& ( p3(X0)
| p1(X0)
| ! [X41] : ~ r1(X0,X41)
| p2(X0)
| ? [X42] :
( sP1(X42)
& ~ p2(X42)
& ~ p3(X42)
& ~ p1(X42)
& r1(X0,X42)
& ? [X43] : r1(X42,X43) ) )
& ( ! [X44] :
( ~ r1(X0,X44)
| ? [X45] :
( r1(X44,X45)
& p5(X45) ) )
| sP0(X0) ) )
=> ( ( ? [X1] :
( ~ p1(X1)
& ? [X2] : r1(X1,X2)
& r1(sK32,X1)
& ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ r1(X1,X3)
| ( ~ p1(X3)
& ? [X6] : r1(X3,X6) ) ) )
| ! [X7] : ~ r1(sK32,X7)
| p1(sK32) )
& ( p2(sK32)
| ! [X8] : ~ r1(sK32,X8)
| p4(sK32)
| ? [X9] :
( sP8(X9)
& ~ p2(X9)
& ~ p1(X9)
& ? [X10] : r1(X9,X10)
& r1(sK32,X9)
& ~ p4(X9)
& ~ p3(X9) )
| p1(sK32)
| p3(sK32) )
& ( ! [X11] :
( ~ r1(sK32,X11)
| ~ p5(X11) )
| ( ? [X12] :
( ~ p2(X12)
& r1(sK32,X12) )
& ! [X13] :
( p2(X13)
| ~ r1(sK32,X13)
| ? [X14] :
( ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14)
& r1(X13,X14) ) ) ) )
& ? [X16] :
( r1(sK32,X16)
& ~ p1(X16) )
& ! [X17] :
( ~ r1(sK32,X17)
| ? [X18] :
( ? [X19] :
( r1(X18,X19)
& ~ p3(X19) )
& r1(X17,X18)
& p3(X18) )
| p3(X17) )
& ( ! [X20] : ~ r1(sK32,X20)
| ? [X21] :
( ? [X22] : r1(X21,X22)
& r1(sK32,X21)
& ~ p1(X21)
& ! [X23] :
( ( ? [X24] : r1(X23,X24)
& ~ p2(X23)
& ~ p1(X23) )
| ! [X25] :
( p2(X25)
| ~ r1(X23,X25)
| ! [X26] : ~ r1(X25,X26)
| p1(X25) )
| ~ r1(X21,X23) )
& ~ p2(X21) )
| p1(sK32)
| p2(sK32) )
& ? [X27] :
( r1(sK32,X27)
& ~ p3(X27) )
& ! [X28] :
( p1(X28)
| ~ r1(sK32,X28)
| ? [X29] :
( p1(X29)
& r1(X28,X29)
& ? [X30] :
( ~ p1(X30)
& r1(X29,X30) ) ) )
& ! [X31] :
( ~ r1(sK32,X31)
| p2(X31)
| ? [X32] :
( r1(X31,X32)
& ~ p2(X32)
& ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) ) ) )
& ( sP7(sK32)
| ? [X35] :
( ! [X36] :
( ( ~ p2(X36)
& ! [X37] :
( ~ p2(X37)
| ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ r1(X36,X37) ) )
| sP5(X36)
| sP4(X36)
| ~ r1(X35,X36) )
& r1(sK32,X35)
& ( sP2(X35)
| ( ! [X39] :
( ~ r1(X35,X39)
| ~ p2(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) ) )
& ~ p2(X35) ) ) ) )
& ( p3(sK32)
| p1(sK32)
| ! [X41] : ~ r1(sK32,X41)
| p2(sK32)
| ? [X42] :
( sP1(X42)
& ~ p2(X42)
& ~ p3(X42)
& ~ p1(X42)
& r1(sK32,X42)
& ? [X43] : r1(X42,X43) ) )
& ( ! [X44] :
( ~ r1(sK32,X44)
| ? [X45] :
( r1(X44,X45)
& p5(X45) ) )
| sP0(sK32) ) ) ),
introduced(choice_axiom,[]) ).
fof(f71,plain,
( ? [X1] :
( ~ p1(X1)
& ? [X2] : r1(X1,X2)
& r1(sK32,X1)
& ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ r1(X1,X3)
| ( ~ p1(X3)
& ? [X6] : r1(X3,X6) ) ) )
=> ( ~ p1(sK33)
& ? [X2] : r1(sK33,X2)
& r1(sK32,sK33)
& ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ r1(sK33,X3)
| ( ~ p1(X3)
& ? [X6] : r1(X3,X6) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f72,plain,
( ? [X2] : r1(sK33,X2)
=> r1(sK33,sK34) ),
introduced(choice_axiom,[]) ).
fof(f73,plain,
! [X3] :
( ? [X6] : r1(X3,X6)
=> r1(X3,sK35(X3)) ),
introduced(choice_axiom,[]) ).
fof(f74,plain,
( ? [X9] :
( sP8(X9)
& ~ p2(X9)
& ~ p1(X9)
& ? [X10] : r1(X9,X10)
& r1(sK32,X9)
& ~ p4(X9)
& ~ p3(X9) )
=> ( sP8(sK36)
& ~ p2(sK36)
& ~ p1(sK36)
& ? [X10] : r1(sK36,X10)
& r1(sK32,sK36)
& ~ p4(sK36)
& ~ p3(sK36) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( ? [X10] : r1(sK36,X10)
=> r1(sK36,sK37) ),
introduced(choice_axiom,[]) ).
fof(f76,plain,
( ? [X12] :
( ~ p2(X12)
& r1(sK32,X12) )
=> ( ~ p2(sK38)
& r1(sK32,sK38) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X13] :
( ? [X14] :
( ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14)
& r1(X13,X14) )
=> ( ? [X15] :
( r1(sK39(X13),X15)
& ~ p2(X15) )
& p2(sK39(X13))
& r1(X13,sK39(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X13] :
( ? [X15] :
( r1(sK39(X13),X15)
& ~ p2(X15) )
=> ( r1(sK39(X13),sK40(X13))
& ~ p2(sK40(X13)) ) ),
introduced(choice_axiom,[]) ).
fof(f79,plain,
( ? [X16] :
( r1(sK32,X16)
& ~ p1(X16) )
=> ( r1(sK32,sK41)
& ~ p1(sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f80,plain,
! [X17] :
( ? [X18] :
( ? [X19] :
( r1(X18,X19)
& ~ p3(X19) )
& r1(X17,X18)
& p3(X18) )
=> ( ? [X19] :
( r1(sK42(X17),X19)
& ~ p3(X19) )
& r1(X17,sK42(X17))
& p3(sK42(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X17] :
( ? [X19] :
( r1(sK42(X17),X19)
& ~ p3(X19) )
=> ( r1(sK42(X17),sK43(X17))
& ~ p3(sK43(X17)) ) ),
introduced(choice_axiom,[]) ).
fof(f82,plain,
( ? [X21] :
( ? [X22] : r1(X21,X22)
& r1(sK32,X21)
& ~ p1(X21)
& ! [X23] :
( ( ? [X24] : r1(X23,X24)
& ~ p2(X23)
& ~ p1(X23) )
| ! [X25] :
( p2(X25)
| ~ r1(X23,X25)
| ! [X26] : ~ r1(X25,X26)
| p1(X25) )
| ~ r1(X21,X23) )
& ~ p2(X21) )
=> ( ? [X22] : r1(sK44,X22)
& r1(sK32,sK44)
& ~ p1(sK44)
& ! [X23] :
( ( ? [X24] : r1(X23,X24)
& ~ p2(X23)
& ~ p1(X23) )
| ! [X25] :
( p2(X25)
| ~ r1(X23,X25)
| ! [X26] : ~ r1(X25,X26)
| p1(X25) )
| ~ r1(sK44,X23) )
& ~ p2(sK44) ) ),
introduced(choice_axiom,[]) ).
fof(f83,plain,
( ? [X22] : r1(sK44,X22)
=> r1(sK44,sK45) ),
introduced(choice_axiom,[]) ).
fof(f84,plain,
! [X23] :
( ? [X24] : r1(X23,X24)
=> r1(X23,sK46(X23)) ),
introduced(choice_axiom,[]) ).
fof(f85,plain,
( ? [X27] :
( r1(sK32,X27)
& ~ p3(X27) )
=> ( r1(sK32,sK47)
& ~ p3(sK47) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
! [X28] :
( ? [X29] :
( p1(X29)
& r1(X28,X29)
& ? [X30] :
( ~ p1(X30)
& r1(X29,X30) ) )
=> ( p1(sK48(X28))
& r1(X28,sK48(X28))
& ? [X30] :
( ~ p1(X30)
& r1(sK48(X28),X30) ) ) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X28] :
( ? [X30] :
( ~ p1(X30)
& r1(sK48(X28),X30) )
=> ( ~ p1(sK49(X28))
& r1(sK48(X28),sK49(X28)) ) ),
introduced(choice_axiom,[]) ).
fof(f88,plain,
! [X31] :
( ? [X32] :
( r1(X31,X32)
& ~ p2(X32)
& ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) ) )
=> ( r1(X31,sK50(X31))
& ~ p2(sK50(X31))
& ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(sK50(X31),X33) ) ) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
( ? [X35] :
( ! [X36] :
( ( ~ p2(X36)
& ! [X37] :
( ~ p2(X37)
| ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ r1(X36,X37) ) )
| sP5(X36)
| sP4(X36)
| ~ r1(X35,X36) )
& r1(sK32,X35)
& ( sP2(X35)
| ( ! [X39] :
( ~ r1(X35,X39)
| ~ p2(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) ) )
& ~ p2(X35) ) ) )
=> ( ! [X36] :
( ( ~ p2(X36)
& ! [X37] :
( ~ p2(X37)
| ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ r1(X36,X37) ) )
| sP5(X36)
| sP4(X36)
| ~ r1(sK51,X36) )
& r1(sK32,sK51)
& ( sP2(sK51)
| ( ! [X39] :
( ~ r1(sK51,X39)
| ~ p2(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) ) )
& ~ p2(sK51) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f90,plain,
( ? [X42] :
( sP1(X42)
& ~ p2(X42)
& ~ p3(X42)
& ~ p1(X42)
& r1(sK32,X42)
& ? [X43] : r1(X42,X43) )
=> ( sP1(sK52)
& ~ p2(sK52)
& ~ p3(sK52)
& ~ p1(sK52)
& r1(sK32,sK52)
& ? [X43] : r1(sK52,X43) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ? [X43] : r1(sK52,X43)
=> r1(sK52,sK53) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
! [X44] :
( ? [X45] :
( r1(X44,X45)
& p5(X45) )
=> ( r1(X44,sK54(X44))
& p5(sK54(X44)) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
? [X0] :
( ( ? [X1] :
( ~ p1(X1)
& ? [X2] : r1(X1,X2)
& r1(X0,X1)
& ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ r1(X1,X3)
| ( ~ p1(X3)
& ? [X6] : r1(X3,X6) ) ) )
| ! [X7] : ~ r1(X0,X7)
| p1(X0) )
& ( p2(X0)
| ! [X8] : ~ r1(X0,X8)
| p4(X0)
| ? [X9] :
( sP8(X9)
& ~ p2(X9)
& ~ p1(X9)
& ? [X10] : r1(X9,X10)
& r1(X0,X9)
& ~ p4(X9)
& ~ p3(X9) )
| p1(X0)
| p3(X0) )
& ( ! [X11] :
( ~ r1(X0,X11)
| ~ p5(X11) )
| ( ? [X12] :
( ~ p2(X12)
& r1(X0,X12) )
& ! [X13] :
( p2(X13)
| ~ r1(X0,X13)
| ? [X14] :
( ? [X15] :
( r1(X14,X15)
& ~ p2(X15) )
& p2(X14)
& r1(X13,X14) ) ) ) )
& ? [X16] :
( r1(X0,X16)
& ~ p1(X16) )
& ! [X17] :
( ~ r1(X0,X17)
| ? [X18] :
( ? [X19] :
( r1(X18,X19)
& ~ p3(X19) )
& r1(X17,X18)
& p3(X18) )
| p3(X17) )
& ( ! [X20] : ~ r1(X0,X20)
| ? [X21] :
( ? [X22] : r1(X21,X22)
& r1(X0,X21)
& ~ p1(X21)
& ! [X23] :
( ( ? [X24] : r1(X23,X24)
& ~ p2(X23)
& ~ p1(X23) )
| ! [X25] :
( p2(X25)
| ~ r1(X23,X25)
| ! [X26] : ~ r1(X25,X26)
| p1(X25) )
| ~ r1(X21,X23) )
& ~ p2(X21) )
| p1(X0)
| p2(X0) )
& ? [X27] :
( r1(X0,X27)
& ~ p3(X27) )
& ! [X28] :
( p1(X28)
| ~ r1(X0,X28)
| ? [X29] :
( p1(X29)
& r1(X28,X29)
& ? [X30] :
( ~ p1(X30)
& r1(X29,X30) ) ) )
& ! [X31] :
( ~ r1(X0,X31)
| p2(X31)
| ? [X32] :
( r1(X31,X32)
& ~ p2(X32)
& ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) ) ) )
& ( sP7(X0)
| ? [X35] :
( ! [X36] :
( ( ~ p2(X36)
& ! [X37] :
( ~ p2(X37)
| ! [X38] :
( p2(X38)
| ~ r1(X37,X38) )
| ~ r1(X36,X37) ) )
| sP5(X36)
| sP4(X36)
| ~ r1(X35,X36) )
& r1(X0,X35)
& ( sP2(X35)
| ( ! [X39] :
( ~ r1(X35,X39)
| ~ p2(X39)
| ! [X40] :
( ~ r1(X39,X40)
| p2(X40) ) )
& ~ p2(X35) ) ) ) )
& ( p3(X0)
| p1(X0)
| ! [X41] : ~ r1(X0,X41)
| p2(X0)
| ? [X42] :
( sP1(X42)
& ~ p2(X42)
& ~ p3(X42)
& ~ p1(X42)
& r1(X0,X42)
& ? [X43] : r1(X42,X43) ) )
& ( ! [X44] :
( ~ r1(X0,X44)
| ? [X45] :
( r1(X44,X45)
& p5(X45) ) )
| sP0(X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,plain,
? [X0] :
( ( ? [X2] :
( ~ p1(X2)
& ? [X7] : r1(X2,X7)
& r1(X0,X2)
& ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ r1(X2,X3)
| ( ~ p1(X3)
& ? [X6] : r1(X3,X6) ) ) )
| ! [X1] : ~ r1(X0,X1)
| p1(X0) )
& ( p2(X0)
| ! [X65] : ~ r1(X0,X65)
| p4(X0)
| ? [X66] :
( sP8(X66)
& ~ p2(X66)
& ~ p1(X66)
& ? [X67] : r1(X66,X67)
& r1(X0,X66)
& ~ p4(X66)
& ~ p3(X66) )
| p1(X0)
| p3(X0) )
& ( ! [X76] :
( ~ r1(X0,X76)
| ~ p5(X76) )
| ( ? [X75] :
( ~ p2(X75)
& r1(X0,X75) )
& ! [X72] :
( p2(X72)
| ~ r1(X0,X72)
| ? [X73] :
( ? [X74] :
( r1(X73,X74)
& ~ p2(X74) )
& p2(X73)
& r1(X72,X73) ) ) ) )
& ? [X84] :
( r1(X0,X84)
& ~ p1(X84) )
& ! [X85] :
( ~ r1(X0,X85)
| ? [X86] :
( ? [X87] :
( r1(X86,X87)
& ~ p3(X87) )
& r1(X85,X86)
& p3(X86) )
| p3(X85) )
& ( ! [X14] : ~ r1(X0,X14)
| ? [X8] :
( ? [X13] : r1(X8,X13)
& r1(X0,X8)
& ~ p1(X8)
& ! [X9] :
( ( ? [X10] : r1(X9,X10)
& ~ p2(X9)
& ~ p1(X9) )
| ! [X11] :
( p2(X11)
| ~ r1(X9,X11)
| ! [X12] : ~ r1(X11,X12)
| p1(X11) )
| ~ r1(X8,X9) )
& ~ p2(X8) )
| p1(X0)
| p2(X0) )
& ? [X77] :
( r1(X0,X77)
& ~ p3(X77) )
& ! [X88] :
( p1(X88)
| ~ r1(X0,X88)
| ? [X89] :
( p1(X89)
& r1(X88,X89)
& ? [X90] :
( ~ p1(X90)
& r1(X89,X90) ) ) )
& ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ? [X16] :
( r1(X15,X16)
& ~ p2(X16)
& ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) ) ) )
& ( sP7(X0)
| ? [X35] :
( ! [X45] :
( ( ~ p2(X45)
& ! [X46] :
( ~ p2(X46)
| ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) ) )
| sP5(X45)
| sP4(X45)
| ~ r1(X35,X45) )
& r1(X0,X35)
& ( sP2(X35)
| ( ! [X36] :
( ~ r1(X35,X36)
| ~ p2(X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) ) )
& ~ p2(X35) ) ) ) )
& ( p3(X0)
| p1(X0)
| ! [X25] : ~ r1(X0,X25)
| p2(X0)
| ? [X19] :
( sP1(X19)
& ~ p2(X19)
& ~ p3(X19)
& ~ p1(X19)
& r1(X0,X19)
& ? [X20] : r1(X19,X20) ) )
& ( ! [X82] :
( ~ r1(X0,X82)
| ? [X83] :
( r1(X82,X83)
& p5(X83) ) )
| sP0(X0) ) ),
inference(definition_folding,[],[f8,f17,f16,f15,f14,f13,f12,f11,f10,f9]) ).
fof(f10,plain,
! [X19] :
( ! [X21] :
( ( ~ p3(X21)
& ~ p2(X21)
& ~ p1(X21)
& ? [X22] : r1(X21,X22) )
| ! [X23] :
( ~ r1(X21,X23)
| ! [X24] : ~ r1(X23,X24)
| p3(X23)
| p1(X23)
| p2(X23) )
| ~ r1(X19,X21) )
| ~ sP1(X19) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
! [X55] :
( ! [X61] :
( ! [X62] :
( ~ r1(X61,X62)
| ? [X63] :
( ? [X64] :
( r1(X63,X64)
& ~ p2(X64) )
& r1(X62,X63)
& p2(X63) )
| p2(X62) )
| ~ r1(X55,X61) )
| ~ sP3(X55) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f17,plain,
! [X66] :
( ! [X68] :
( ! [X70] :
( p4(X70)
| p1(X70)
| ~ r1(X68,X70)
| p2(X70)
| ! [X71] : ~ r1(X70,X71)
| p3(X70) )
| ( ~ p3(X68)
& ~ p1(X68)
& ~ p2(X68)
& ? [X69] : r1(X68,X69)
& ~ p4(X68) )
| ~ r1(X66,X68) )
| ~ sP8(X66) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f8,plain,
? [X0] :
( ( ? [X2] :
( ~ p1(X2)
& ? [X7] : r1(X2,X7)
& r1(X0,X2)
& ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ r1(X2,X3)
| ( ~ p1(X3)
& ? [X6] : r1(X3,X6) ) ) )
| ! [X1] : ~ r1(X0,X1)
| p1(X0) )
& ( p2(X0)
| ! [X65] : ~ r1(X0,X65)
| p4(X0)
| ? [X66] :
( ! [X68] :
( ! [X70] :
( p4(X70)
| p1(X70)
| ~ r1(X68,X70)
| p2(X70)
| ! [X71] : ~ r1(X70,X71)
| p3(X70) )
| ( ~ p3(X68)
& ~ p1(X68)
& ~ p2(X68)
& ? [X69] : r1(X68,X69)
& ~ p4(X68) )
| ~ r1(X66,X68) )
& ~ p2(X66)
& ~ p1(X66)
& ? [X67] : r1(X66,X67)
& r1(X0,X66)
& ~ p4(X66)
& ~ p3(X66) )
| p1(X0)
| p3(X0) )
& ( ! [X76] :
( ~ r1(X0,X76)
| ~ p5(X76) )
| ( ? [X75] :
( ~ p2(X75)
& r1(X0,X75) )
& ! [X72] :
( p2(X72)
| ~ r1(X0,X72)
| ? [X73] :
( ? [X74] :
( r1(X73,X74)
& ~ p2(X74) )
& p2(X73)
& r1(X72,X73) ) ) ) )
& ? [X84] :
( r1(X0,X84)
& ~ p1(X84) )
& ! [X85] :
( ~ r1(X0,X85)
| ? [X86] :
( ? [X87] :
( r1(X86,X87)
& ~ p3(X87) )
& r1(X85,X86)
& p3(X86) )
| p3(X85) )
& ( ! [X14] : ~ r1(X0,X14)
| ? [X8] :
( ? [X13] : r1(X8,X13)
& r1(X0,X8)
& ~ p1(X8)
& ! [X9] :
( ( ? [X10] : r1(X9,X10)
& ~ p2(X9)
& ~ p1(X9) )
| ! [X11] :
( p2(X11)
| ~ r1(X9,X11)
| ! [X12] : ~ r1(X11,X12)
| p1(X11) )
| ~ r1(X8,X9) )
& ~ p2(X8) )
| p1(X0)
| p2(X0) )
& ? [X77] :
( r1(X0,X77)
& ~ p3(X77) )
& ! [X88] :
( p1(X88)
| ~ r1(X0,X88)
| ? [X89] :
( p1(X89)
& r1(X88,X89)
& ? [X90] :
( ~ p1(X90)
& r1(X89,X90) ) ) )
& ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ? [X16] :
( r1(X15,X16)
& ~ p2(X16)
& ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) ) ) )
& ( ( ( ? [X26] :
( ? [X27] :
( r1(X26,X27)
& ~ p2(X27) )
& r1(X0,X26)
& p2(X26) )
| p2(X0) )
& ( ! [X28] :
( ~ r1(X0,X28)
| ! [X29] :
( p2(X29)
| ? [X30] :
( r1(X29,X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& p2(X30) )
| ~ r1(X28,X29) ) )
| ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X0,X32) ) ) )
| ? [X35] :
( ! [X45] :
( ( ~ p2(X45)
& ! [X46] :
( ~ p2(X46)
| ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) ) )
| ! [X55] :
( ~ r1(X45,X55)
| ( ( ? [X56] :
( p2(X56)
& r1(X55,X56)
& ? [X57] :
( ~ p2(X57)
& r1(X56,X57) ) )
| p2(X55) )
& ( ? [X58] :
( ! [X59] :
( ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) )
& r1(X55,X58)
& ~ p2(X58) )
| ! [X61] :
( ! [X62] :
( ~ r1(X61,X62)
| ? [X63] :
( ? [X64] :
( r1(X63,X64)
& ~ p2(X64) )
& r1(X62,X63)
& p2(X63) )
| p2(X62) )
| ~ r1(X55,X61) ) ) ) )
| ( ! [X48] :
( ~ r1(X45,X48)
| ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48) )
& ? [X51] :
( ? [X52] :
( ~ p2(X52)
& r1(X51,X52)
& ! [X53] :
( ~ r1(X52,X53)
| ~ p2(X53)
| ! [X54] :
( ~ r1(X53,X54)
| p2(X54) ) ) )
& r1(X45,X51) ) )
| ~ r1(X35,X45) )
& r1(X0,X35)
& ( ( ? [X41] :
( r1(X35,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42)
& ! [X43] :
( ~ p2(X43)
| ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) ) ) ) )
& ! [X38] :
( ? [X39] :
( ? [X40] :
( ~ p2(X40)
& r1(X39,X40) )
& p2(X39)
& r1(X38,X39) )
| p2(X38)
| ~ r1(X35,X38) ) )
| ( ! [X36] :
( ~ r1(X35,X36)
| ~ p2(X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) ) )
& ~ p2(X35) ) ) ) )
& ( p3(X0)
| p1(X0)
| ! [X25] : ~ r1(X0,X25)
| p2(X0)
| ? [X19] :
( ! [X21] :
( ( ~ p3(X21)
& ~ p2(X21)
& ~ p1(X21)
& ? [X22] : r1(X21,X22) )
| ! [X23] :
( ~ r1(X21,X23)
| ! [X24] : ~ r1(X23,X24)
| p3(X23)
| p1(X23)
| p2(X23) )
| ~ r1(X19,X21) )
& ~ p2(X19)
& ~ p3(X19)
& ~ p1(X19)
& r1(X0,X19)
& ? [X20] : r1(X19,X20) ) )
& ( ! [X82] :
( ~ r1(X0,X82)
| ? [X83] :
( r1(X82,X83)
& p5(X83) ) )
| ( ? [X81] :
( r1(X0,X81)
& ~ p2(X81) )
& ! [X78] :
( ? [X79] :
( p2(X79)
& r1(X78,X79)
& ? [X80] :
( r1(X79,X80)
& ~ p2(X80) ) )
| ~ r1(X0,X78)
| p2(X78) ) ) ) ),
inference(flattening,[],[f7]) ).
fof(f7,plain,
? [X0] :
( ! [X85] :
( ~ r1(X0,X85)
| ? [X86] :
( ? [X87] :
( r1(X86,X87)
& ~ p3(X87) )
& r1(X85,X86)
& p3(X86) )
| p3(X85) )
& ( ! [X82] :
( ~ r1(X0,X82)
| ? [X83] :
( r1(X82,X83)
& p5(X83) ) )
| ( ? [X81] :
( r1(X0,X81)
& ~ p2(X81) )
& ! [X78] :
( ? [X79] :
( p2(X79)
& r1(X78,X79)
& ? [X80] :
( r1(X79,X80)
& ~ p2(X80) ) )
| ~ r1(X0,X78)
| p2(X78) ) ) )
& ? [X84] :
( r1(X0,X84)
& ~ p1(X84) )
& ( p3(X0)
| p1(X0)
| ! [X25] : ~ r1(X0,X25)
| p2(X0)
| ? [X19] :
( ! [X21] :
( ( ~ p3(X21)
& ~ p2(X21)
& ~ p1(X21)
& ? [X22] : r1(X21,X22) )
| ! [X23] :
( ~ r1(X21,X23)
| ! [X24] : ~ r1(X23,X24)
| p3(X23)
| p1(X23)
| p2(X23) )
| ~ r1(X19,X21) )
& ~ p2(X19)
& ~ p3(X19)
& ~ p1(X19)
& r1(X0,X19)
& ? [X20] : r1(X19,X20) ) )
& ( ? [X2] :
( ~ p1(X2)
& ? [X7] : r1(X2,X7)
& r1(X0,X2)
& ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ r1(X2,X3)
| ( ~ p1(X3)
& ? [X6] : r1(X3,X6) ) ) )
| ! [X1] : ~ r1(X0,X1)
| p1(X0) )
& ( ! [X14] : ~ r1(X0,X14)
| ? [X8] :
( ? [X13] : r1(X8,X13)
& r1(X0,X8)
& ~ p1(X8)
& ! [X9] :
( ( ? [X10] : r1(X9,X10)
& ~ p2(X9)
& ~ p1(X9) )
| ! [X11] :
( p2(X11)
| ~ r1(X9,X11)
| ! [X12] : ~ r1(X11,X12)
| p1(X11) )
| ~ r1(X8,X9) )
& ~ p2(X8) )
| p1(X0)
| p2(X0) )
& ! [X15] :
( ~ r1(X0,X15)
| p2(X15)
| ? [X16] :
( r1(X15,X16)
& ~ p2(X16)
& ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) ) ) )
& ( ( ( ? [X26] :
( ? [X27] :
( r1(X26,X27)
& ~ p2(X27) )
& r1(X0,X26)
& p2(X26) )
| p2(X0) )
& ( ! [X28] :
( ~ r1(X0,X28)
| ! [X29] :
( p2(X29)
| ? [X30] :
( r1(X29,X30)
& ? [X31] :
( ~ p2(X31)
& r1(X30,X31) )
& p2(X30) )
| ~ r1(X28,X29) ) )
| ? [X32] :
( ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
& ~ p2(X32)
& r1(X0,X32) ) ) )
| ? [X35] :
( ! [X45] :
( ~ r1(X35,X45)
| ! [X55] :
( ~ r1(X45,X55)
| ( ( ? [X56] :
( p2(X56)
& r1(X55,X56)
& ? [X57] :
( ~ p2(X57)
& r1(X56,X57) ) )
| p2(X55) )
& ( ? [X58] :
( ! [X59] :
( ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) )
& r1(X55,X58)
& ~ p2(X58) )
| ! [X61] :
( ! [X62] :
( ~ r1(X61,X62)
| ? [X63] :
( ? [X64] :
( r1(X63,X64)
& ~ p2(X64) )
& r1(X62,X63)
& p2(X63) )
| p2(X62) )
| ~ r1(X55,X61) ) ) ) )
| ( ! [X48] :
( ~ r1(X45,X48)
| ? [X49] :
( p2(X49)
& ? [X50] :
( ~ p2(X50)
& r1(X49,X50) )
& r1(X48,X49) )
| p2(X48) )
& ? [X51] :
( ? [X52] :
( ~ p2(X52)
& r1(X51,X52)
& ! [X53] :
( ~ r1(X52,X53)
| ~ p2(X53)
| ! [X54] :
( ~ r1(X53,X54)
| p2(X54) ) ) )
& r1(X45,X51) ) )
| ( ~ p2(X45)
& ! [X46] :
( ~ p2(X46)
| ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) ) ) )
& ( ( ? [X41] :
( r1(X35,X41)
& ? [X42] :
( r1(X41,X42)
& ~ p2(X42)
& ! [X43] :
( ~ p2(X43)
| ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) ) ) ) )
& ! [X38] :
( ? [X39] :
( ? [X40] :
( ~ p2(X40)
& r1(X39,X40) )
& p2(X39)
& r1(X38,X39) )
| p2(X38)
| ~ r1(X35,X38) ) )
| ( ! [X36] :
( ~ r1(X35,X36)
| ~ p2(X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) ) )
& ~ p2(X35) ) )
& r1(X0,X35) ) )
& ( p2(X0)
| ! [X65] : ~ r1(X0,X65)
| p4(X0)
| ? [X66] :
( ! [X68] :
( ! [X70] :
( p4(X70)
| p1(X70)
| ~ r1(X68,X70)
| p2(X70)
| ! [X71] : ~ r1(X70,X71)
| p3(X70) )
| ( ~ p3(X68)
& ~ p1(X68)
& ~ p2(X68)
& ? [X69] : r1(X68,X69)
& ~ p4(X68) )
| ~ r1(X66,X68) )
& ~ p2(X66)
& ~ p1(X66)
& ? [X67] : r1(X66,X67)
& r1(X0,X66)
& ~ p4(X66)
& ~ p3(X66) )
| p1(X0)
| p3(X0) )
& ( ! [X76] :
( ~ r1(X0,X76)
| ~ p5(X76) )
| ( ? [X75] :
( ~ p2(X75)
& r1(X0,X75) )
& ! [X72] :
( p2(X72)
| ~ r1(X0,X72)
| ? [X73] :
( ? [X74] :
( r1(X73,X74)
& ~ p2(X74) )
& p2(X73)
& r1(X72,X73) ) ) ) )
& ! [X88] :
( p1(X88)
| ~ r1(X0,X88)
| ? [X89] :
( p1(X89)
& r1(X88,X89)
& ? [X90] :
( ~ p1(X90)
& r1(X89,X90) ) ) )
& ? [X77] :
( r1(X0,X77)
& ~ p3(X77) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,plain,
? [X0] :
~ ( ~ ! [X85] :
( ~ r1(X0,X85)
| p3(X85)
| ~ ! [X86] :
( ~ r1(X85,X86)
| ! [X87] :
( p3(X87)
| ~ r1(X86,X87) )
| ~ p3(X86) ) )
| ( ( ~ ! [X78] :
( ~ r1(X0,X78)
| ~ ! [X79] :
( ~ p2(X79)
| ! [X80] :
( p2(X80)
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| p2(X78) )
| ! [X81] :
( ~ r1(X0,X81)
| p2(X81) ) )
& ~ ! [X82] :
( ~ ! [X83] :
( ~ r1(X82,X83)
| ~ p5(X83) )
| ~ r1(X0,X82) ) )
| ! [X84] :
( p1(X84)
| ~ r1(X0,X84) )
| ~ ( ( ~ ! [X19] :
( p1(X19)
| ! [X20] : ~ r1(X19,X20)
| ~ r1(X0,X19)
| p2(X19)
| ~ ! [X21] :
( ~ ( p2(X21)
| ! [X22] : ~ r1(X21,X22)
| p1(X21)
| p3(X21) )
| ! [X23] :
( ~ r1(X21,X23)
| ! [X24] : ~ r1(X23,X24)
| p3(X23)
| p1(X23)
| p2(X23) )
| ~ r1(X19,X21) )
| p3(X19) )
| p2(X0)
| p1(X0)
| ! [X25] : ~ r1(X0,X25)
| p3(X0) )
& ( p1(X0)
| ~ ! [X2] :
( ~ r1(X0,X2)
| ! [X7] : ~ r1(X2,X7)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ ( ! [X6] : ~ r1(X3,X6)
| p1(X3) ) )
| p1(X2) )
| ! [X1] : ~ r1(X0,X1) )
& ( p1(X0)
| p2(X0)
| ! [X14] : ~ r1(X0,X14)
| ~ ! [X8] :
( ! [X13] : ~ r1(X8,X13)
| p2(X8)
| p1(X8)
| ~ ! [X9] :
( ! [X11] :
( p2(X11)
| ~ r1(X9,X11)
| ! [X12] : ~ r1(X11,X12)
| p1(X11) )
| ~ r1(X8,X9)
| ~ ( ! [X10] : ~ r1(X9,X10)
| p2(X9)
| p1(X9) ) )
| ~ r1(X0,X8) ) )
& ! [X15] :
( ~ ! [X16] :
( p2(X16)
| ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| p2(X15)
| ~ r1(X0,X15) )
& ( ( ( p2(X0)
| ~ ! [X26] :
( ~ p2(X26)
| ~ r1(X0,X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) ) ) )
& ( ! [X28] :
( ~ r1(X0,X28)
| ! [X29] :
( p2(X29)
| ~ r1(X28,X29)
| ~ ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30)
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X0,X32)
| p2(X32) ) ) )
| ~ ! [X35] :
( ~ ! [X45] :
( ~ r1(X35,X45)
| ! [X55] :
( ( ( ! [X61] :
( ~ r1(X55,X61)
| ! [X62] :
( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ r1(X62,X63) )
| p2(X62)
| ~ r1(X61,X62) ) )
| ~ ! [X58] :
( p2(X58)
| ~ ! [X59] :
( ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) )
| ~ r1(X55,X58) ) )
& ( p2(X55)
| ~ ! [X56] :
( ~ r1(X55,X56)
| ~ p2(X56)
| ! [X57] :
( p2(X57)
| ~ r1(X56,X57) ) ) ) )
| ~ r1(X45,X55) )
| ~ ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ r1(X48,X49)
| ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) ) )
| p2(X48)
| ~ r1(X45,X48) )
| ! [X51] :
( ~ r1(X45,X51)
| ! [X52] :
( ~ ! [X53] :
( ~ r1(X52,X53)
| ~ p2(X53)
| ! [X54] :
( ~ r1(X53,X54)
| p2(X54) ) )
| ~ r1(X51,X52)
| p2(X52) ) ) )
& ( ~ ! [X46] :
( ~ p2(X46)
| ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| p2(X45) ) ) )
| ( ( ~ ! [X36] :
( ~ r1(X35,X36)
| ~ p2(X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) ) )
| p2(X35) )
& ( ! [X41] :
( ! [X42] :
( ~ ! [X43] :
( ~ p2(X43)
| ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) ) )
| ~ r1(X41,X42)
| p2(X42) )
| ~ r1(X35,X41) )
| ~ ! [X38] :
( ~ r1(X35,X38)
| ~ ! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ r1(X38,X39)
| ~ p2(X39) )
| p2(X38) ) ) )
| ~ r1(X0,X35) ) )
& ( p3(X0)
| p4(X0)
| p1(X0)
| ~ ! [X66] :
( p1(X66)
| ! [X67] : ~ r1(X66,X67)
| p3(X66)
| ~ r1(X0,X66)
| p4(X66)
| p2(X66)
| ~ ! [X68] :
( ! [X70] :
( p4(X70)
| p1(X70)
| ~ r1(X68,X70)
| p2(X70)
| ! [X71] : ~ r1(X70,X71)
| p3(X70) )
| ~ r1(X66,X68)
| ~ ( p3(X68)
| p4(X68)
| ! [X69] : ~ r1(X68,X69)
| p2(X68)
| p1(X68) ) ) )
| ! [X65] : ~ r1(X0,X65)
| p2(X0) ) )
| ( ~ ! [X76] :
( ~ r1(X0,X76)
| ~ p5(X76) )
& ( ~ ! [X72] :
( p2(X72)
| ~ ! [X73] :
( ! [X74] :
( ~ r1(X73,X74)
| p2(X74) )
| ~ p2(X73)
| ~ r1(X72,X73) )
| ~ r1(X0,X72) )
| ! [X75] :
( ~ r1(X0,X75)
| p2(X75) ) ) )
| ~ ! [X88] :
( p1(X88)
| ~ ! [X89] :
( ~ p1(X89)
| ! [X90] :
( ~ r1(X89,X90)
| p1(X90) )
| ~ r1(X88,X89) )
| ~ r1(X0,X88) )
| ! [X77] :
( p3(X77)
| ~ r1(X0,X77) ) ),
inference(flattening,[],[f5]) ).
fof(f5,plain,
~ ~ ? [X0] :
~ ( ~ ! [X85] :
( ~ r1(X0,X85)
| p3(X85)
| ~ ! [X86] :
( ~ r1(X85,X86)
| ! [X87] :
( p3(X87)
| ~ r1(X86,X87) )
| ~ p3(X86) ) )
| ( ( ~ ! [X78] :
( ~ r1(X0,X78)
| ~ ! [X79] :
( ~ p2(X79)
| ! [X80] :
( p2(X80)
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| p2(X78) )
| ! [X81] :
( ~ r1(X0,X81)
| p2(X81) ) )
& ~ ! [X82] :
( ~ ! [X83] :
( ~ r1(X82,X83)
| ~ p5(X83) )
| ~ r1(X0,X82) ) )
| ! [X84] :
( p1(X84)
| ~ r1(X0,X84) )
| ~ ( ( ~ ! [X19] :
( p1(X19)
| ! [X20] : ~ r1(X19,X20)
| ~ r1(X0,X19)
| p2(X19)
| ~ ! [X21] :
( ~ ( p2(X21)
| ! [X22] : ~ r1(X21,X22)
| p1(X21)
| p3(X21) )
| ! [X23] :
( ~ r1(X21,X23)
| ! [X24] : ~ r1(X23,X24)
| p3(X23)
| p1(X23)
| p2(X23) )
| ~ r1(X19,X21) )
| p3(X19) )
| p2(X0)
| p1(X0)
| ! [X25] : ~ r1(X0,X25)
| p3(X0) )
& ( p1(X0)
| ~ ! [X2] :
( ~ r1(X0,X2)
| ! [X7] : ~ r1(X2,X7)
| ~ ! [X3] :
( ~ r1(X2,X3)
| ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] : ~ r1(X4,X5) )
| ~ ( ! [X6] : ~ r1(X3,X6)
| p1(X3) ) )
| p1(X2) )
| ! [X1] : ~ r1(X0,X1) )
& ( p1(X0)
| p2(X0)
| ! [X14] : ~ r1(X0,X14)
| ~ ! [X8] :
( ! [X13] : ~ r1(X8,X13)
| p2(X8)
| p1(X8)
| ~ ! [X9] :
( ! [X11] :
( p2(X11)
| ~ r1(X9,X11)
| ! [X12] : ~ r1(X11,X12)
| p1(X11) )
| ~ r1(X8,X9)
| ~ ( ! [X10] : ~ r1(X9,X10)
| p2(X9)
| p1(X9) ) )
| ~ r1(X0,X8) ) )
& ! [X15] :
( ~ ! [X16] :
( p2(X16)
| ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| p2(X15)
| ~ r1(X0,X15) )
& ( ( ( p2(X0)
| ~ ! [X26] :
( ~ p2(X26)
| ~ r1(X0,X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) ) ) )
& ( ! [X28] :
( ~ r1(X0,X28)
| ! [X29] :
( p2(X29)
| ~ r1(X28,X29)
| ~ ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30)
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X0,X32)
| p2(X32) ) ) )
| ~ ! [X35] :
( ~ ! [X45] :
( ~ r1(X35,X45)
| ! [X55] :
( ( ( ! [X61] :
( ~ r1(X55,X61)
| ! [X62] :
( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ r1(X62,X63) )
| p2(X62)
| ~ r1(X61,X62) ) )
| ~ ! [X58] :
( p2(X58)
| ~ ! [X59] :
( ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) )
| ~ r1(X55,X58) ) )
& ( p2(X55)
| ~ ! [X56] :
( ~ r1(X55,X56)
| ~ p2(X56)
| ! [X57] :
( p2(X57)
| ~ r1(X56,X57) ) ) ) )
| ~ r1(X45,X55) )
| ~ ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ r1(X48,X49)
| ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) ) )
| p2(X48)
| ~ r1(X45,X48) )
| ! [X51] :
( ~ r1(X45,X51)
| ! [X52] :
( ~ ! [X53] :
( ~ r1(X52,X53)
| ~ p2(X53)
| ! [X54] :
( ~ r1(X53,X54)
| p2(X54) ) )
| ~ r1(X51,X52)
| p2(X52) ) ) )
& ( ~ ! [X46] :
( ~ p2(X46)
| ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| p2(X45) ) ) )
| ( ( ~ ! [X36] :
( ~ r1(X35,X36)
| ~ p2(X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) ) )
| p2(X35) )
& ( ! [X41] :
( ! [X42] :
( ~ ! [X43] :
( ~ p2(X43)
| ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) ) )
| ~ r1(X41,X42)
| p2(X42) )
| ~ r1(X35,X41) )
| ~ ! [X38] :
( ~ r1(X35,X38)
| ~ ! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ r1(X38,X39)
| ~ p2(X39) )
| p2(X38) ) ) )
| ~ r1(X0,X35) ) )
& ( p3(X0)
| p4(X0)
| p1(X0)
| ~ ! [X66] :
( p1(X66)
| ! [X67] : ~ r1(X66,X67)
| p3(X66)
| ~ r1(X0,X66)
| p4(X66)
| p2(X66)
| ~ ! [X68] :
( ! [X70] :
( p4(X70)
| p1(X70)
| ~ r1(X68,X70)
| p2(X70)
| ! [X71] : ~ r1(X70,X71)
| p3(X70) )
| ~ r1(X66,X68)
| ~ ( p3(X68)
| p4(X68)
| ! [X69] : ~ r1(X68,X69)
| p2(X68)
| p1(X68) ) ) )
| ! [X65] : ~ r1(X0,X65)
| p2(X0) ) )
| ( ~ ! [X76] :
( ~ r1(X0,X76)
| ~ p5(X76) )
& ( ~ ! [X72] :
( p2(X72)
| ~ ! [X73] :
( ! [X74] :
( ~ r1(X73,X74)
| p2(X74) )
| ~ p2(X73)
| ~ r1(X72,X73) )
| ~ r1(X0,X72) )
| ! [X75] :
( ~ r1(X0,X75)
| p2(X75) ) ) )
| ~ ! [X88] :
( p1(X88)
| ~ ! [X89] :
( ~ p1(X89)
| ! [X90] :
( ~ r1(X89,X90)
| p1(X90) )
| ~ r1(X88,X89) )
| ~ r1(X0,X88) )
| ! [X77] :
( p3(X77)
| ~ r1(X0,X77) ) ),
inference(true_and_false_elimination,[],[f4]) ).
fof(f4,plain,
~ ~ ? [X0] :
~ ( ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X2] :
( ~ ! [X3] :
( ! [X4] :
( p1(X4)
| ~ r1(X3,X4)
| ! [X5] :
( $false
| ~ r1(X4,X5) ) )
| ~ ( ! [X6] :
( $false
| ~ r1(X3,X6) )
| p1(X3) )
| ~ r1(X2,X3) )
| ! [X7] :
( $false
| ~ r1(X2,X7) )
| ~ r1(X0,X2)
| p1(X2) )
| p1(X0) )
& ( ~ ! [X8] :
( ~ r1(X0,X8)
| p1(X8)
| ~ ! [X9] :
( ~ r1(X8,X9)
| ~ ( ! [X10] :
( $false
| ~ r1(X9,X10) )
| p2(X9)
| p1(X9) )
| ! [X11] :
( ~ r1(X9,X11)
| p2(X11)
| p1(X11)
| ! [X12] :
( $false
| ~ r1(X11,X12) ) ) )
| ! [X13] :
( $false
| ~ r1(X8,X13) )
| p2(X8) )
| p2(X0)
| p1(X0)
| ! [X14] :
( ~ r1(X0,X14)
| $false ) )
& ! [X15] :
( ~ ! [X16] :
( p2(X16)
| ~ ! [X17] :
( ~ p2(X17)
| ! [X18] :
( p2(X18)
| ~ r1(X17,X18) )
| ~ r1(X16,X17) )
| ~ r1(X15,X16) )
| p2(X15)
| ~ r1(X0,X15) )
& ( ~ ! [X19] :
( p1(X19)
| ~ r1(X0,X19)
| p2(X19)
| ! [X20] :
( ~ r1(X19,X20)
| $false )
| ~ ! [X21] :
( ~ r1(X19,X21)
| ~ ( p3(X21)
| p1(X21)
| p2(X21)
| ! [X22] :
( $false
| ~ r1(X21,X22) ) )
| ! [X23] :
( p2(X23)
| ! [X24] :
( ~ r1(X23,X24)
| $false )
| p1(X23)
| ~ r1(X21,X23)
| p3(X23) ) )
| p3(X19) )
| p3(X0)
| p1(X0)
| p2(X0)
| ! [X25] :
( $false
| ~ r1(X0,X25) ) )
& ( ( ( p2(X0)
| ~ ! [X26] :
( ~ p2(X26)
| ~ r1(X0,X26)
| ! [X27] :
( p2(X27)
| ~ r1(X26,X27) ) ) )
& ( ! [X28] :
( ~ r1(X0,X28)
| ! [X29] :
( p2(X29)
| ~ r1(X28,X29)
| ~ ! [X30] :
( ! [X31] :
( p2(X31)
| ~ r1(X30,X31) )
| ~ r1(X29,X30)
| ~ p2(X30) ) ) )
| ~ ! [X32] :
( ~ ! [X33] :
( ~ p2(X33)
| ! [X34] :
( p2(X34)
| ~ r1(X33,X34) )
| ~ r1(X32,X33) )
| ~ r1(X0,X32)
| p2(X32) ) ) )
| ~ ! [X35] :
( ~ ! [X45] :
( ~ r1(X35,X45)
| ! [X55] :
( ( ( ! [X61] :
( ~ r1(X55,X61)
| ! [X62] :
( ~ ! [X63] :
( ~ p2(X63)
| ! [X64] :
( ~ r1(X63,X64)
| p2(X64) )
| ~ r1(X62,X63) )
| p2(X62)
| ~ r1(X61,X62) ) )
| ~ ! [X58] :
( p2(X58)
| ~ ! [X59] :
( ~ r1(X58,X59)
| ! [X60] :
( ~ r1(X59,X60)
| p2(X60) )
| ~ p2(X59) )
| ~ r1(X55,X58) ) )
& ( p2(X55)
| ~ ! [X56] :
( ~ r1(X55,X56)
| ~ p2(X56)
| ! [X57] :
( p2(X57)
| ~ r1(X56,X57) ) ) ) )
| ~ r1(X45,X55) )
| ~ ( ( ~ ! [X48] :
( ~ ! [X49] :
( ~ r1(X48,X49)
| ~ p2(X49)
| ! [X50] :
( p2(X50)
| ~ r1(X49,X50) ) )
| p2(X48)
| ~ r1(X45,X48) )
| ! [X51] :
( ~ r1(X45,X51)
| ! [X52] :
( ~ ! [X53] :
( ~ r1(X52,X53)
| ~ p2(X53)
| ! [X54] :
( ~ r1(X53,X54)
| p2(X54) ) )
| ~ r1(X51,X52)
| p2(X52) ) ) )
& ( ~ ! [X46] :
( ~ p2(X46)
| ! [X47] :
( p2(X47)
| ~ r1(X46,X47) )
| ~ r1(X45,X46) )
| p2(X45) ) ) )
| ( ( ~ ! [X36] :
( ~ r1(X35,X36)
| ~ p2(X36)
| ! [X37] :
( ~ r1(X36,X37)
| p2(X37) ) )
| p2(X35) )
& ( ! [X41] :
( ! [X42] :
( ~ ! [X43] :
( ~ p2(X43)
| ~ r1(X42,X43)
| ! [X44] :
( ~ r1(X43,X44)
| p2(X44) ) )
| ~ r1(X41,X42)
| p2(X42) )
| ~ r1(X35,X41) )
| ~ ! [X38] :
( ~ r1(X35,X38)
| ~ ! [X39] :
( ! [X40] :
( ~ r1(X39,X40)
| p2(X40) )
| ~ r1(X38,X39)
| ~ p2(X39) )
| p2(X38) ) ) )
| ~ r1(X0,X35) ) )
& ( p2(X0)
| p4(X0)
| p3(X0)
| ! [X65] :
( ~ r1(X0,X65)
| $false )
| ~ ! [X66] :
( ! [X67] :
( ~ r1(X66,X67)
| $false )
| p4(X66)
| ~ r1(X0,X66)
| p3(X66)
| p1(X66)
| ~ ! [X68] :
( ~ r1(X66,X68)
| ~ ( p2(X68)
| ! [X69] :
( $false
| ~ r1(X68,X69) )
| p4(X68)
| p3(X68)
| p1(X68) )
| ! [X70] :
( p2(X70)
| p4(X70)
| ! [X71] :
( $false
| ~ r1(X70,X71) )
| ~ r1(X68,X70)
| p1(X70)
| p3(X70) ) )
| p2(X66) )
| p1(X0) ) )
| ( ~ ! [X76] :
( ~ r1(X0,X76)
| ~ p5(X76) )
& ( ~ ! [X72] :
( p2(X72)
| ~ ! [X73] :
( ! [X74] :
( ~ r1(X73,X74)
| p2(X74) )
| ~ p2(X73)
| ~ r1(X72,X73) )
| ~ r1(X0,X72) )
| ! [X75] :
( ~ r1(X0,X75)
| p2(X75) ) ) )
| ! [X77] :
( p3(X77)
| ~ r1(X0,X77) )
| ( ( ~ ! [X78] :
( ~ r1(X0,X78)
| ~ ! [X79] :
( ~ p2(X79)
| ! [X80] :
( p2(X80)
| ~ r1(X79,X80) )
| ~ r1(X78,X79) )
| p2(X78) )
| ! [X81] :
( ~ r1(X0,X81)
| p2(X81) ) )
& ~ ! [X82] :
( ~ ! [X83] :
( ~ r1(X82,X83)
| ~ p5(X83) )
| ~ r1(X0,X82) ) )
| ! [X84] :
( p1(X84)
| ~ r1(X0,X84) )
| ~ ! [X85] :
( ~ r1(X0,X85)
| p3(X85)
| ~ ! [X86] :
( ~ r1(X85,X86)
| ! [X87] :
( p3(X87)
| ~ r1(X86,X87) )
| ~ p3(X86) ) )
| ~ ! [X88] :
( p1(X88)
| ~ ! [X89] :
( ~ p1(X89)
| ! [X90] :
( ~ r1(X89,X90)
| p1(X90) )
| ~ r1(X88,X89) )
| ~ r1(X0,X88) ) ),
inference(rectify,[],[f3]) ).
fof(f3,negated_conjecture,
~ ~ ? [X0] :
~ ( ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p1(X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p2(X0)
| p1(X0) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) ) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p2(X1) )
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
& ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
| p1(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
| ! [X1] :
( p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ r1(X0,X1)
| p3(X1) ) )
| p3(X1) )
| p3(X0)
| p1(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
& ( ( ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1)
| ~ p2(X1) )
| p2(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) ) ) ) )
| ~ ! [X1] :
( ( ( ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) )
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) ) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) )
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| ~ r1(X0,X1)
| p2(X1) ) ) ) ) ) ) ) )
& ( p2(X0)
| p4(X0)
| p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p4(X1)
| ~ r1(X0,X1)
| p3(X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p3(X0)
| p1(X0) )
| ! [X1] :
( p2(X1)
| p4(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p1(X1)
| p3(X1) ) )
| p2(X1) )
| p1(X0) ) )
| ( ( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p2(X0) ) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) ) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) ) )
| ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
inference(negated_conjecture,[],[f2]) ).
fof(f2,conjecture,
~ ? [X0] :
~ ( ~ ( ( ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) )
| ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p1(X0) )
| ~ r1(X1,X0) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p1(X1) )
| p1(X0) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ! [X1] :
( $false
| ~ r1(X0,X1) )
| p2(X0)
| p1(X0) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| p1(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) ) ) )
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| p2(X1) )
| p2(X0)
| p1(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false ) )
& ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ p2(X1) ) ) )
& ( ~ ! [X1] :
( p1(X1)
| ~ r1(X0,X1)
| p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p3(X0)
| p1(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
| ! [X1] :
( p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| $false )
| p1(X1)
| ~ r1(X0,X1)
| p3(X1) ) )
| p3(X1) )
| p3(X0)
| p1(X0)
| p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) ) )
& ( ( ( ~ ! [X1] :
( ~ p2(X1)
| ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) )
| p2(X0) )
& ( ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| p2(X0) )
| ~ r1(X0,X1)
| ~ p2(X1) )
| p2(X0) ) )
| ~ ! [X1] :
( ~ r1(X0,X1)
| p2(X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) ) ) ) )
| ~ ! [X1] :
( ( ( ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1) ) )
| ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| p2(X1) )
| ~ r1(X1,X0) ) ) )
| ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( ( p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0) ) ) )
& ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ p2(X0) )
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p2(X1)
| ! [X0] :
( p2(X0)
| ~ r1(X1,X0) ) ) ) ) ) )
| ! [X1] :
( ~ r1(X0,X1)
| ( ( ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) )
| ~ r1(X1,X0) )
| p2(X1) )
& ( ~ ! [X0] :
( ~ r1(X1,X0)
| p2(X0)
| ~ ! [X1] :
( ! [X0] :
( p2(X0)
| ~ r1(X1,X0) )
| ~ p2(X1)
| ~ r1(X0,X1) ) )
| ! [X0] :
( ~ r1(X1,X0)
| ! [X1] :
( ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p2(X0) )
| ~ r1(X0,X1)
| p2(X1) ) ) ) ) ) ) ) )
& ( p2(X0)
| p4(X0)
| p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| $false )
| ~ ! [X1] :
( ! [X0] :
( ~ r1(X1,X0)
| $false )
| p4(X1)
| ~ r1(X0,X1)
| p3(X1)
| p1(X1)
| ~ ! [X0] :
( ~ r1(X1,X0)
| ~ ( p2(X0)
| ! [X1] :
( $false
| ~ r1(X0,X1) )
| p4(X0)
| p3(X0)
| p1(X0) )
| ! [X1] :
( p2(X1)
| p4(X1)
| ! [X0] :
( $false
| ~ r1(X1,X0) )
| ~ r1(X0,X1)
| p1(X1)
| p3(X1) ) )
| p2(X1) )
| p1(X0) ) )
| ( ( ~ ! [X1] :
( p2(X1)
| ~ r1(X0,X1)
| ~ ! [X0] :
( ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0)
| ~ p2(X0) ) )
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) ) )
& ~ ! [X1] :
( ~ r1(X0,X1)
| ~ p5(X1) ) )
| ! [X1] :
( p3(X1)
| ~ r1(X0,X1) )
| ( ( ~ ! [X1] :
( ~ r1(X0,X1)
| ~ ! [X0] :
( ~ p2(X0)
| ! [X1] :
( p2(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| p2(X1) )
| ! [X1] :
( ~ r1(X0,X1)
| p2(X1) ) )
& ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p5(X0) )
| ~ r1(X0,X1) ) )
| ! [X1] :
( ~ r1(X0,X1)
| p1(X1) )
| ~ ! [X1] :
( ~ ! [X0] :
( ~ r1(X1,X0)
| ~ p3(X0)
| ! [X1] :
( ~ r1(X0,X1)
| p3(X1) ) )
| ~ r1(X0,X1)
| p3(X1) )
| ~ ! [X1] :
( p1(X1)
| ~ ! [X0] :
( ~ p1(X0)
| ! [X1] :
( p1(X1)
| ~ r1(X0,X1) )
| ~ r1(X1,X0) )
| ~ r1(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',main) ).
fof(f3584,plain,
( p2(sK50(sK29(sK32)))
| ~ spl55_560 ),
inference(avatar_component_clause,[],[f3582]) ).
fof(f3636,plain,
( spl55_570
| spl55_571
| ~ spl55_561 ),
inference(avatar_split_clause,[],[f3629,f3586,f3634,f3631]) ).
fof(f3586,plain,
( spl55_561
<=> p2(sK13(sK50(sK29(sK32)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_561])]) ).
fof(f3629,plain,
( ! [X2,X3] :
( ~ r1(sK50(X3),sK13(sK50(sK29(sK32))))
| ~ r1(sK32,X3)
| p2(X2)
| ~ r1(sK13(sK50(sK29(sK32))),X2)
| p2(X3) )
| ~ spl55_561 ),
inference(resolution,[],[f3588,f161]) ).
fof(f161,plain,
! [X31,X34,X33] :
( ~ p2(X33)
| ~ r1(X33,X34)
| ~ r1(sK32,X31)
| p2(X34)
| p2(X31)
| ~ r1(sK50(X31),X33) ),
inference(cnf_transformation,[],[f93]) ).
fof(f3588,plain,
( p2(sK13(sK50(sK29(sK32))))
| ~ spl55_561 ),
inference(avatar_component_clause,[],[f3586]) ).
fof(f3589,plain,
( spl55_560
| spl55_561
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136 ),
inference(avatar_split_clause,[],[f3569,f957,f782,f377,f3586,f3582]) ).
fof(f3569,plain,
( p2(sK13(sK50(sK29(sK32))))
| p2(sK50(sK29(sK32)))
| ~ spl55_40
| ~ spl55_112
| ~ spl55_136 ),
inference(resolution,[],[f3405,f784]) ).
fof(f3405,plain,
( ! [X2] :
( ~ r1(sK29(sK32),X2)
| p2(X2)
| p2(sK13(X2)) )
| ~ spl55_40
| ~ spl55_136 ),
inference(resolution,[],[f3392,f3130]) ).
fof(f3130,plain,
( ! [X4,X5] :
( ~ r1(sK32,X5)
| p2(X4)
| ~ r1(X5,X4)
| p2(sK13(X4)) )
| ~ spl55_136 ),
inference(resolution,[],[f959,f107]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ sP6(X0)
| p2(X2)
| ~ r1(X0,X1)
| ~ r1(X1,X2)
| p2(sK13(X2)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f3381,plain,
( spl55_17
| ~ spl55_42
| ~ spl55_136
| spl55_364
| ~ spl55_375
| ~ spl55_381 ),
inference(avatar_contradiction_clause,[],[f3380]) ).
fof(f3380,plain,
( $false
| spl55_17
| ~ spl55_42
| ~ spl55_136
| spl55_364
| ~ spl55_375
| ~ spl55_381 ),
inference(subsumption_resolution,[],[f3379,f387]) ).
fof(f387,plain,
( r1(sK32,sK38)
| ~ spl55_42 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f385,plain,
( spl55_42
<=> r1(sK32,sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_42])]) ).
fof(f3379,plain,
( ~ r1(sK32,sK38)
| spl55_17
| ~ spl55_42
| ~ spl55_136
| spl55_364
| ~ spl55_375
| ~ spl55_381 ),
inference(resolution,[],[f3373,f1239]) ).
fof(f1239,plain,
( r1(sK38,sK50(sK38))
| spl55_17
| ~ spl55_42 ),
inference(subsumption_resolution,[],[f1231,f271]) ).
fof(f271,plain,
( ~ p2(sK38)
| spl55_17 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f269,plain,
( spl55_17
<=> p2(sK38) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_17])]) ).
fof(f1231,plain,
( p2(sK38)
| r1(sK38,sK50(sK38))
| ~ spl55_42 ),
inference(resolution,[],[f387,f163]) ).
fof(f163,plain,
! [X31] :
( ~ r1(sK32,X31)
| p2(X31)
| r1(X31,sK50(X31)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f3373,plain,
( ! [X0] :
( ~ r1(X0,sK50(sK38))
| ~ r1(sK32,X0) )
| ~ spl55_136
| spl55_364
| ~ spl55_375
| ~ spl55_381 ),
inference(resolution,[],[f3210,f959]) ).
fof(f3210,plain,
( ! [X0,X1] :
( ~ sP6(X0)
| ~ r1(X0,X1)
| ~ r1(X1,sK50(sK38)) )
| spl55_364
| ~ spl55_375
| ~ spl55_381 ),
inference(subsumption_resolution,[],[f3198,f2253]) ).
fof(f2253,plain,
( ~ p2(sK50(sK38))
| spl55_364 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f2252,plain,
( spl55_364
<=> p2(sK50(sK38)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_364])]) ).
fof(f3198,plain,
( ! [X0,X1] :
( ~ sP6(X0)
| ~ r1(X1,sK50(sK38))
| p2(sK50(sK38))
| ~ r1(X0,X1) )
| ~ spl55_375
| ~ spl55_381 ),
inference(resolution,[],[f3191,f109]) ).
fof(f3191,plain,
( p2(sK14(sK50(sK38)))
| ~ spl55_375
| ~ spl55_381 ),
inference(resolution,[],[f2304,f2340]) ).
fof(f2340,plain,
( r1(sK13(sK50(sK38)),sK14(sK50(sK38)))
| ~ spl55_381 ),
inference(avatar_component_clause,[],[f2338]) ).
fof(f2338,plain,
( spl55_381
<=> r1(sK13(sK50(sK38)),sK14(sK50(sK38))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_381])]) ).
fof(f2304,plain,
( ! [X2] :
( ~ r1(sK13(sK50(sK38)),X2)
| p2(X2) )
| ~ spl55_375 ),
inference(avatar_component_clause,[],[f2303]) ).
fof(f2303,plain,
( spl55_375
<=> ! [X2] :
( ~ r1(sK13(sK50(sK38)),X2)
| p2(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_375])]) ).
fof(f3096,plain,
( ~ spl55_15
| ~ spl55_34
| ~ spl55_135
| spl55_159
| ~ spl55_483 ),
inference(avatar_contradiction_clause,[],[f3095]) ).
fof(f3095,plain,
( $false
| ~ spl55_15
| ~ spl55_34
| ~ spl55_135
| spl55_159
| ~ spl55_483 ),
inference(subsumption_resolution,[],[f3094,f1087]) ).
fof(f3094,plain,
( p2(sK12(sK32))
| ~ spl55_15
| ~ spl55_34
| ~ spl55_135
| spl55_159
| ~ spl55_483 ),
inference(subsumption_resolution,[],[f3090,f955]) ).
fof(f3090,plain,
( ~ r1(sK32,sK12(sK32))
| p2(sK12(sK32))
| ~ spl55_15
| ~ spl55_34
| ~ spl55_135
| spl55_159
| ~ spl55_483 ),
inference(resolution,[],[f3088,f350]) ).
fof(f3088,plain,
( p2(sK40(sK12(sK32)))
| ~ spl55_15
| ~ spl55_135
| spl55_159
| ~ spl55_483 ),
inference(resolution,[],[f3047,f3028]) ).
fof(f3028,plain,
( r1(sK39(sK12(sK32)),sK40(sK12(sK32)))
| ~ spl55_15
| ~ spl55_135
| spl55_159 ),
inference(subsumption_resolution,[],[f2993,f1087]) ).
fof(f2993,plain,
( p2(sK12(sK32))
| r1(sK39(sK12(sK32)),sK40(sK12(sK32)))
| ~ spl55_15
| ~ spl55_135 ),
inference(resolution,[],[f955,f263]) ).
fof(f3047,plain,
( ! [X2] :
( ~ r1(sK39(sK12(sK32)),X2)
| p2(X2) )
| ~ spl55_483 ),
inference(avatar_component_clause,[],[f3046]) ).
fof(f3025,plain,
( spl55_159
| spl55_479
| ~ spl55_46
| ~ spl55_135 ),
inference(avatar_split_clause,[],[f2996,f953,f404,f3022,f1086]) ).
fof(f2996,plain,
( r1(sK12(sK32),sK39(sK12(sK32)))
| p2(sK12(sK32))
| ~ spl55_46
| ~ spl55_135 ),
inference(resolution,[],[f955,f405]) ).
fof(f3007,plain,
( ~ spl55_11
| spl55_136
| ~ spl55_159 ),
inference(avatar_contradiction_clause,[],[f3006]) ).
fof(f3006,plain,
( $false
| ~ spl55_11
| spl55_136
| ~ spl55_159 ),
inference(subsumption_resolution,[],[f3005,f247]) ).
fof(f3005,plain,
( ~ sP7(sK32)
| spl55_136
| ~ spl55_159 ),
inference(subsumption_resolution,[],[f3001,f958]) ).
fof(f3001,plain,
( sP6(sK32)
| ~ sP7(sK32)
| ~ spl55_159 ),
inference(resolution,[],[f1088,f101]) ).
fof(f101,plain,
! [X0] :
( ~ p2(sK12(X0))
| ~ sP7(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f1088,plain,
( p2(sK12(sK32))
| ~ spl55_159 ),
inference(avatar_component_clause,[],[f1086]) ).
fof(f2956,plain,
( spl55_17
| ~ spl55_42
| ~ spl55_364 ),
inference(avatar_contradiction_clause,[],[f2955]) ).
fof(f2955,plain,
( $false
| spl55_17
| ~ spl55_42
| ~ spl55_364 ),
inference(subsumption_resolution,[],[f2954,f271]) ).
fof(f2954,plain,
( p2(sK38)
| ~ spl55_42
| ~ spl55_364 ),
inference(subsumption_resolution,[],[f2950,f387]) ).
fof(f2950,plain,
( ~ r1(sK32,sK38)
| p2(sK38)
| ~ spl55_364 ),
inference(resolution,[],[f2254,f162]) ).
fof(f2254,plain,
( p2(sK50(sK38))
| ~ spl55_364 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f2949,plain,
( spl55_17
| ~ spl55_42
| ~ spl55_376
| ~ spl55_380 ),
inference(avatar_contradiction_clause,[],[f2948]) ).
fof(f2948,plain,
( $false
| spl55_17
| ~ spl55_42
| ~ spl55_376
| ~ spl55_380 ),
inference(subsumption_resolution,[],[f2947,f271]) ).
fof(f2947,plain,
( p2(sK38)
| ~ spl55_42
| ~ spl55_376
| ~ spl55_380 ),
inference(subsumption_resolution,[],[f2946,f387]) ).
fof(f2946,plain,
( ~ r1(sK32,sK38)
| p2(sK38)
| ~ spl55_376
| ~ spl55_380 ),
inference(resolution,[],[f2307,f2330]) ).
fof(f2330,plain,
( r1(sK50(sK38),sK13(sK50(sK38)))
| ~ spl55_380 ),
inference(avatar_component_clause,[],[f2328]) ).
fof(f2328,plain,
( spl55_380
<=> r1(sK50(sK38),sK13(sK50(sK38))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_380])]) ).
fof(f2307,plain,
( ! [X3] :
( ~ r1(sK50(X3),sK13(sK50(sK38)))
| ~ r1(sK32,X3)
| p2(X3) )
| ~ spl55_376 ),
inference(avatar_component_clause,[],[f2306]) ).
fof(f2306,plain,
( spl55_376
<=> ! [X3] :
( p2(X3)
| ~ r1(sK50(X3),sK13(sK50(sK38)))
| ~ r1(sK32,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_376])]) ).
fof(f2807,plain,
( ~ spl55_31
| ~ spl55_286 ),
inference(avatar_contradiction_clause,[],[f2806]) ).
fof(f2806,plain,
( $false
| ~ spl55_31
| ~ spl55_286 ),
inference(subsumption_resolution,[],[f2789,f338]) ).
fof(f2789,plain,
( ~ sP2(sK51)
| ~ spl55_286 ),
inference(resolution,[],[f1799,f135]) ).
fof(f135,plain,
! [X0] :
( ~ p2(sK25(X0))
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f1799,plain,
( p2(sK25(sK51))
| ~ spl55_286 ),
inference(avatar_component_clause,[],[f1798]) ).
fof(f2771,plain,
( spl55_286
| spl55_447
| ~ spl55_31
| ~ spl55_254 ),
inference(avatar_split_clause,[],[f2481,f1623,f336,f2768,f1798]) ).
fof(f2481,plain,
( p2(sK15(sK25(sK51)))
| p2(sK25(sK51))
| ~ spl55_31
| ~ spl55_254 ),
inference(subsumption_resolution,[],[f2479,f338]) ).
fof(f2479,plain,
( ~ sP2(sK51)
| p2(sK25(sK51))
| p2(sK15(sK25(sK51)))
| ~ spl55_254 ),
inference(resolution,[],[f2458,f136]) ).
fof(f2458,plain,
( ! [X6] :
( ~ r1(sK24(sK51),X6)
| p2(X6)
| p2(sK15(X6)) )
| ~ spl55_254 ),
inference(resolution,[],[f1625,f117]) ).
fof(f117,plain,
! [X0,X1] :
( ~ sP5(X0)
| p2(X1)
| ~ r1(X0,X1)
| p2(sK15(X1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2766,plain,
( ~ spl55_31
| ~ spl55_254
| spl55_286
| ~ spl55_401 ),
inference(avatar_contradiction_clause,[],[f2765]) ).
fof(f2765,plain,
( $false
| ~ spl55_31
| ~ spl55_254
| spl55_286
| ~ spl55_401 ),
inference(subsumption_resolution,[],[f2764,f338]) ).
fof(f2764,plain,
( ~ sP2(sK51)
| ~ spl55_31
| ~ spl55_254
| spl55_286
| ~ spl55_401 ),
inference(resolution,[],[f2763,f136]) ).
fof(f2763,plain,
( ~ r1(sK24(sK51),sK25(sK51))
| ~ spl55_31
| ~ spl55_254
| spl55_286
| ~ spl55_401 ),
inference(resolution,[],[f2721,f1625]) ).
fof(f2721,plain,
( ! [X0] :
( ~ sP5(X0)
| ~ r1(X0,sK25(sK51)) )
| ~ spl55_31
| ~ spl55_254
| spl55_286
| ~ spl55_401 ),
inference(subsumption_resolution,[],[f2717,f1800]) ).
fof(f2717,plain,
( ! [X0] :
( p2(sK25(sK51))
| ~ r1(X0,sK25(sK51))
| ~ sP5(X0) )
| ~ spl55_31
| ~ spl55_254
| spl55_286
| ~ spl55_401 ),
inference(resolution,[],[f2716,f115]) ).
fof(f115,plain,
! [X0,X1] :
( ~ p2(sK16(X1))
| ~ sP5(X0)
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2716,plain,
( p2(sK16(sK25(sK51)))
| ~ spl55_31
| ~ spl55_254
| spl55_286
| ~ spl55_401 ),
inference(resolution,[],[f2674,f2488]) ).
fof(f2488,plain,
( ! [X2] :
( ~ r1(sK15(sK25(sK51)),X2)
| p2(X2) )
| ~ spl55_401 ),
inference(avatar_component_clause,[],[f2487]) ).
fof(f2674,plain,
( r1(sK15(sK25(sK51)),sK16(sK25(sK51)))
| ~ spl55_31
| ~ spl55_254
| spl55_286 ),
inference(subsumption_resolution,[],[f2673,f1800]) ).
fof(f2673,plain,
( p2(sK25(sK51))
| r1(sK15(sK25(sK51)),sK16(sK25(sK51)))
| ~ spl55_31
| ~ spl55_254 ),
inference(subsumption_resolution,[],[f2671,f338]) ).
fof(f2671,plain,
( p2(sK25(sK51))
| r1(sK15(sK25(sK51)),sK16(sK25(sK51)))
| ~ sP2(sK51)
| ~ spl55_254 ),
inference(resolution,[],[f2455,f136]) ).
fof(f2455,plain,
( ! [X3] :
( ~ r1(sK24(sK51),X3)
| r1(sK15(X3),sK16(X3))
| p2(X3) )
| ~ spl55_254 ),
inference(resolution,[],[f1625,f114]) ).
fof(f114,plain,
! [X0,X1] :
( ~ sP5(X0)
| r1(sK15(X1),sK16(X1))
| ~ r1(X0,X1)
| p2(X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f2450,plain,
( spl55_400
| spl55_249
| ~ spl55_31 ),
inference(avatar_split_clause,[],[f1635,f336,f1598,f2447]) ).
fof(f1598,plain,
( spl55_249
<=> p2(sK24(sK51)) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_249])]) ).
fof(f1635,plain,
( p2(sK24(sK51))
| r1(sK24(sK51),sK26(sK24(sK51)))
| ~ spl55_31 ),
inference(resolution,[],[f1195,f961]) ).
fof(f961,plain,
( r1(sK51,sK24(sK51))
| ~ spl55_31 ),
inference(resolution,[],[f338,f137]) ).
fof(f1195,plain,
( ! [X0] :
( ~ r1(sK51,X0)
| r1(X0,sK26(X0))
| p2(X0) )
| ~ spl55_31 ),
inference(resolution,[],[f130,f338]) ).
fof(f130,plain,
! [X0,X5] :
( ~ sP2(X0)
| ~ r1(X0,X5)
| r1(X5,sK26(X5))
| p2(X5) ),
inference(cnf_transformation,[],[f58]) ).
fof(f2440,plain,
( ~ spl55_31
| spl55_249
| ~ spl55_269 ),
inference(avatar_contradiction_clause,[],[f2439]) ).
fof(f2439,plain,
( $false
| ~ spl55_31
| spl55_249
| ~ spl55_269 ),
inference(subsumption_resolution,[],[f2438,f961]) ).
fof(f2438,plain,
( ~ r1(sK51,sK24(sK51))
| ~ spl55_31
| spl55_249
| ~ spl55_269 ),
inference(resolution,[],[f2223,f338]) ).
fof(f2223,plain,
( ! [X0] :
( ~ sP2(X0)
| ~ r1(X0,sK24(sK51)) )
| ~ spl55_31
| spl55_249
| ~ spl55_269 ),
inference(subsumption_resolution,[],[f2204,f1599]) ).
fof(f1599,plain,
( ~ p2(sK24(sK51))
| spl55_249 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f2204,plain,
( ! [X0] :
( p2(sK24(sK51))
| ~ sP2(X0)
| ~ r1(X0,sK24(sK51)) )
| ~ spl55_31
| spl55_249
| ~ spl55_269 ),
inference(resolution,[],[f2202,f133]) ).
fof(f133,plain,
! [X0,X5] :
( ~ p2(sK27(X5))
| p2(X5)
| ~ r1(X0,X5)
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f2202,plain,
( p2(sK27(sK24(sK51)))
| ~ spl55_31
| spl55_249
| ~ spl55_269 ),
inference(resolution,[],[f1702,f1714]) ).
fof(f1714,plain,
( r1(sK26(sK24(sK51)),sK27(sK24(sK51)))
| ~ spl55_31
| spl55_249 ),
inference(subsumption_resolution,[],[f1707,f1599]) ).
fof(f1707,plain,
( p2(sK24(sK51))
| r1(sK26(sK24(sK51)),sK27(sK24(sK51)))
| ~ spl55_31 ),
inference(resolution,[],[f1253,f961]) ).
fof(f1253,plain,
( ! [X0] :
( ~ r1(sK51,X0)
| r1(sK26(X0),sK27(X0))
| p2(X0) )
| ~ spl55_31 ),
inference(resolution,[],[f132,f338]) ).
fof(f132,plain,
! [X0,X5] :
( ~ sP2(X0)
| ~ r1(X0,X5)
| p2(X5)
| r1(sK26(X5),sK27(X5)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f1702,plain,
( ! [X2] :
( ~ r1(sK26(sK24(sK51)),X2)
| p2(X2) )
| ~ spl55_269 ),
inference(avatar_component_clause,[],[f1701]) ).
fof(f2341,plain,
( spl55_364
| spl55_381
| spl55_17
| ~ spl55_42
| ~ spl55_136 ),
inference(avatar_split_clause,[],[f2334,f957,f385,f269,f2338,f2252]) ).
fof(f2334,plain,
( r1(sK13(sK50(sK38)),sK14(sK50(sK38)))
| p2(sK50(sK38))
| spl55_17
| ~ spl55_42
| ~ spl55_136 ),
inference(resolution,[],[f2108,f1239]) ).
fof(f2108,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(X0)
| r1(sK13(X0),sK14(X0)) )
| ~ spl55_42
| ~ spl55_136 ),
inference(resolution,[],[f1492,f387]) ).
fof(f1492,plain,
( ! [X0,X1] :
( ~ r1(sK32,X1)
| ~ r1(X1,X0)
| r1(sK13(X0),sK14(X0))
| p2(X0) )
| ~ spl55_136 ),
inference(resolution,[],[f108,f959]) ).
fof(f2331,plain,
( spl55_364
| spl55_380
| spl55_17
| ~ spl55_42
| ~ spl55_136 ),
inference(avatar_split_clause,[],[f2324,f957,f385,f269,f2328,f2252]) ).
fof(f2324,plain,
( r1(sK50(sK38),sK13(sK50(sK38)))
| p2(sK50(sK38))
| spl55_17
| ~ spl55_42
| ~ spl55_136 ),
inference(resolution,[],[f2080,f1239]) ).
fof(f2080,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(X0)
| r1(X0,sK13(X0)) )
| ~ spl55_42
| ~ spl55_136 ),
inference(resolution,[],[f1490,f387]) ).
fof(f1490,plain,
( ! [X0,X1] :
( ~ r1(sK32,X0)
| p2(X1)
| ~ r1(X0,X1)
| r1(X1,sK13(X1)) )
| ~ spl55_136 ),
inference(resolution,[],[f110,f959]) ).
fof(f2308,plain,
( spl55_375
| spl55_376
| ~ spl55_365 ),
inference(avatar_split_clause,[],[f2293,f2256,f2306,f2303]) ).
fof(f2256,plain,
( spl55_365
<=> p2(sK13(sK50(sK38))) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_365])]) ).
fof(f2293,plain,
( ! [X2,X3] :
( p2(X3)
| ~ r1(sK13(sK50(sK38)),X2)
| p2(X2)
| ~ r1(sK32,X3)
| ~ r1(sK50(X3),sK13(sK50(sK38))) )
| ~ spl55_365 ),
inference(resolution,[],[f2258,f161]) ).
fof(f2258,plain,
( p2(sK13(sK50(sK38)))
| ~ spl55_365 ),
inference(avatar_component_clause,[],[f2256]) ).
fof(f2259,plain,
( spl55_364
| spl55_365
| spl55_17
| ~ spl55_42
| ~ spl55_136 ),
inference(avatar_split_clause,[],[f2239,f957,f385,f269,f2256,f2252]) ).
fof(f2239,plain,
( p2(sK13(sK50(sK38)))
| p2(sK50(sK38))
| spl55_17
| ~ spl55_42
| ~ spl55_136 ),
inference(resolution,[],[f1975,f1239]) ).
fof(f1975,plain,
( ! [X0] :
( ~ r1(sK38,X0)
| p2(X0)
| p2(sK13(X0)) )
| ~ spl55_42
| ~ spl55_136 ),
inference(resolution,[],[f1286,f387]) ).
fof(f1286,plain,
( ! [X0,X1] :
( ~ r1(sK32,X1)
| p2(sK13(X0))
| ~ r1(X1,X0)
| p2(X0) )
| ~ spl55_136 ),
inference(resolution,[],[f107,f959]) ).
fof(f1626,plain,
( spl55_253
| spl55_254
| ~ spl55_31
| ~ spl55_39
| ~ spl55_249 ),
inference(avatar_split_clause,[],[f1617,f1598,f373,f336,f1623,f1619]) ).
fof(f373,plain,
( spl55_39
<=> ! [X36] :
( sP4(X36)
| sP5(X36)
| ~ p2(X36)
| ~ r1(sK51,X36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_39])]) ).
fof(f1617,plain,
( sP5(sK24(sK51))
| sP4(sK24(sK51))
| ~ spl55_31
| ~ spl55_39
| ~ spl55_249 ),
inference(subsumption_resolution,[],[f1607,f961]) ).
fof(f1607,plain,
( sP5(sK24(sK51))
| ~ r1(sK51,sK24(sK51))
| sP4(sK24(sK51))
| ~ spl55_39
| ~ spl55_249 ),
inference(resolution,[],[f1600,f374]) ).
fof(f374,plain,
( ! [X36] :
( ~ p2(X36)
| sP5(X36)
| sP4(X36)
| ~ r1(sK51,X36) )
| ~ spl55_39 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f1600,plain,
( p2(sK24(sK51))
| ~ spl55_249 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f1601,plain,
( spl55_248
| spl55_249
| ~ spl55_31 ),
inference(avatar_split_clause,[],[f1591,f336,f1598,f1594]) ).
fof(f1591,plain,
( p2(sK24(sK51))
| p2(sK26(sK24(sK51)))
| ~ spl55_31 ),
inference(resolution,[],[f1091,f961]) ).
fof(f1091,plain,
( ! [X0] :
( ~ r1(sK51,X0)
| p2(X0)
| p2(sK26(X0)) )
| ~ spl55_31 ),
inference(resolution,[],[f131,f338]) ).
fof(f131,plain,
! [X0,X5] :
( ~ sP2(X0)
| ~ r1(X0,X5)
| p2(sK26(X5))
| p2(X5) ),
inference(cnf_transformation,[],[f58]) ).
fof(f1217,plain,
( ~ spl55_40
| ~ spl55_113 ),
inference(avatar_contradiction_clause,[],[f1216]) ).
fof(f1216,plain,
( $false
| ~ spl55_40
| ~ spl55_113 ),
inference(subsumption_resolution,[],[f1196,f379]) ).
fof(f1196,plain,
( ~ sP0(sK32)
| ~ spl55_113 ),
inference(resolution,[],[f788,f146]) ).
fof(f146,plain,
! [X0] :
( ~ p2(sK29(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f788,plain,
( p2(sK29(sK32))
| ~ spl55_113 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f1090,plain,
( spl55_136
| spl55_135
| ~ spl55_11 ),
inference(avatar_split_clause,[],[f1013,f245,f953,f957]) ).
fof(f1013,plain,
( r1(sK32,sK12(sK32))
| sP6(sK32)
| ~ spl55_11 ),
inference(resolution,[],[f247,f100]) ).
fof(f100,plain,
! [X0] :
( ~ sP7(X0)
| sP6(X0)
| r1(X0,sK12(X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f800,plain,
( ~ spl55_16
| ~ spl55_41
| ~ spl55_47 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f799,plain,
( $false
| ~ spl55_16
| ~ spl55_41
| ~ spl55_47 ),
inference(subsumption_resolution,[],[f798,f795]) ).
fof(f795,plain,
( ~ r1(sK32,sK54(sK32))
| ~ spl55_16
| ~ spl55_41 ),
inference(resolution,[],[f792,f266]) ).
fof(f266,plain,
( ! [X11] :
( ~ p5(X11)
| ~ r1(sK32,X11) )
| ~ spl55_16 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f265,plain,
( spl55_16
<=> ! [X11] :
( ~ p5(X11)
| ~ r1(sK32,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_16])]) ).
fof(f792,plain,
( p5(sK54(sK32))
| ~ spl55_41 ),
inference(resolution,[],[f382,f94]) ).
fof(f94,plain,
! [X0] : r1(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : r1(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity) ).
fof(f382,plain,
( ! [X44] :
( ~ r1(sK32,X44)
| p5(sK54(X44)) )
| ~ spl55_41 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f381,plain,
( spl55_41
<=> ! [X44] :
( ~ r1(sK32,X44)
| p5(sK54(X44)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_41])]) ).
fof(f798,plain,
( r1(sK32,sK54(sK32))
| ~ spl55_47 ),
inference(resolution,[],[f409,f94]) ).
fof(f409,plain,
( ! [X44] :
( ~ r1(sK32,X44)
| r1(X44,sK54(X44)) )
| ~ spl55_47 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl55_47
<=> ! [X44] :
( r1(X44,sK54(X44))
| ~ r1(sK32,X44) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl55_47])]) ).
fof(f789,plain,
( spl55_112
| spl55_113
| ~ spl55_40 ),
inference(avatar_split_clause,[],[f736,f377,f786,f782]) ).
fof(f736,plain,
( p2(sK29(sK32))
| r1(sK29(sK32),sK50(sK29(sK32)))
| ~ spl55_40 ),
inference(resolution,[],[f735,f163]) ).
fof(f735,plain,
( r1(sK32,sK29(sK32))
| ~ spl55_40 ),
inference(resolution,[],[f147,f379]) ).
fof(f410,plain,
( spl55_40
| spl55_47 ),
inference(avatar_split_clause,[],[f149,f408,f377]) ).
fof(f149,plain,
! [X44] :
( r1(X44,sK54(X44))
| sP0(sK32)
| ~ r1(sK32,X44) ),
inference(cnf_transformation,[],[f93]) ).
fof(f406,plain,
( spl55_46
| spl55_16 ),
inference(avatar_split_clause,[],[f183,f265,f404]) ).
fof(f183,plain,
! [X11,X13] :
( ~ r1(sK32,X11)
| p2(X13)
| r1(X13,sK39(X13))
| ~ p5(X11)
| ~ r1(sK32,X13) ),
inference(cnf_transformation,[],[f93]) ).
fof(f388,plain,
( spl55_16
| spl55_42 ),
inference(avatar_split_clause,[],[f187,f385,f265]) ).
fof(f187,plain,
! [X11] :
( r1(sK32,sK38)
| ~ p5(X11)
| ~ r1(sK32,X11) ),
inference(cnf_transformation,[],[f93]) ).
fof(f383,plain,
( spl55_40
| spl55_41 ),
inference(avatar_split_clause,[],[f148,f381,f377]) ).
fof(f148,plain,
! [X44] :
( ~ r1(sK32,X44)
| p5(sK54(X44))
| sP0(sK32) ),
inference(cnf_transformation,[],[f93]) ).
fof(f375,plain,
( spl55_11
| spl55_39 ),
inference(avatar_split_clause,[],[f160,f373,f245]) ).
fof(f160,plain,
! [X36] :
( sP4(X36)
| ~ r1(sK51,X36)
| ~ p2(X36)
| sP7(sK32)
| sP5(X36) ),
inference(cnf_transformation,[],[f93]) ).
fof(f351,plain,
( spl55_16
| spl55_34 ),
inference(avatar_split_clause,[],[f185,f349,f265]) ).
fof(f185,plain,
! [X11,X13] :
( ~ r1(sK32,X13)
| p2(X13)
| ~ r1(sK32,X11)
| ~ p5(X11)
| ~ p2(sK40(X13)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f347,plain,
( ~ spl55_33
| spl55_11
| spl55_31 ),
inference(avatar_split_clause,[],[f156,f336,f245,f344]) ).
fof(f156,plain,
( sP2(sK51)
| sP7(sK32)
| ~ p2(sK51) ),
inference(cnf_transformation,[],[f93]) ).
fof(f342,plain,
( spl55_11
| spl55_31
| spl55_32 ),
inference(avatar_split_clause,[],[f157,f340,f336,f245]) ).
fof(f157,plain,
! [X40,X39] :
( ~ r1(sK51,X39)
| sP2(sK51)
| sP7(sK32)
| ~ r1(X39,X40)
| p2(X40)
| ~ p2(X39) ),
inference(cnf_transformation,[],[f93]) ).
fof(f319,plain,
( spl55_27
| spl55_11 ),
inference(avatar_split_clause,[],[f158,f245,f316]) ).
fof(f158,plain,
( sP7(sK32)
| r1(sK32,sK51) ),
inference(cnf_transformation,[],[f93]) ).
fof(f314,plain,
( spl55_16
| spl55_26 ),
inference(avatar_split_clause,[],[f184,f312,f265]) ).
fof(f184,plain,
! [X11,X13] :
( p2(X13)
| ~ r1(sK32,X13)
| p2(sK39(X13))
| ~ p5(X11)
| ~ r1(sK32,X11) ),
inference(cnf_transformation,[],[f93]) ).
fof(f272,plain,
( spl55_16
| ~ spl55_17 ),
inference(avatar_split_clause,[],[f188,f269,f265]) ).
fof(f188,plain,
! [X11] :
( ~ p2(sK38)
| ~ p5(X11)
| ~ r1(sK32,X11) ),
inference(cnf_transformation,[],[f93]) ).
fof(f267,plain,
( spl55_15
| spl55_16 ),
inference(avatar_split_clause,[],[f186,f265,f262]) ).
fof(f186,plain,
! [X11,X13] :
( ~ p5(X11)
| ~ r1(sK32,X11)
| ~ r1(sK32,X13)
| r1(sK39(X13),sK40(X13))
| p2(X13) ),
inference(cnf_transformation,[],[f93]) ).
fof(f251,plain,
( spl55_11
| spl55_12 ),
inference(avatar_split_clause,[],[f159,f249,f245]) ).
fof(f159,plain,
! [X38,X36,X37] :
( ~ r1(X36,X37)
| ~ p2(X37)
| sP4(X36)
| sP5(X36)
| sP7(sK32)
| ~ r1(X37,X38)
| ~ r1(sK51,X36)
| p2(X38) ),
inference(cnf_transformation,[],[f93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL660+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n004.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 02:15:20 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.52 % (25960)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (25952)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (25944)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (25958)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.53 % (25964)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (25941)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (25947)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (25939)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (25967)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53 % (25942)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (25945)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (25950)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (25946)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (25946)Instruction limit reached!
% 0.20/0.54 % (25946)------------------------------
% 0.20/0.54 % (25946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (25946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (25946)Termination reason: Unknown
% 0.20/0.54 % (25946)Termination phase: Unused predicate definition removal
% 0.20/0.54
% 0.20/0.54 % (25946)Memory used [KB]: 895
% 0.20/0.54 % (25946)Time elapsed: 0.002 s
% 0.20/0.54 % (25946)Instructions burned: 2 (million)
% 0.20/0.54 % (25946)------------------------------
% 0.20/0.54 % (25946)------------------------------
% 0.20/0.54 % (25943)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.54 % (25945)Instruction limit reached!
% 0.20/0.54 % (25945)------------------------------
% 0.20/0.54 % (25945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (25945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (25945)Termination reason: Unknown
% 0.20/0.54 % (25945)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (25945)Memory used [KB]: 5756
% 0.20/0.54 % (25945)Time elapsed: 0.132 s
% 0.20/0.54 % (25945)Instructions burned: 7 (million)
% 0.20/0.54 % (25945)------------------------------
% 0.20/0.54 % (25945)------------------------------
% 0.20/0.54 % (25940)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54 % (25956)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (25962)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (25957)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (25961)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.55 % (25959)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 % (25948)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (25954)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (25938)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (25963)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.55 % (25949)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (25951)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (25955)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55 % (25965)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55 % (25939)Refutation not found, incomplete strategy% (25939)------------------------------
% 0.20/0.55 % (25939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (25939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (25939)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55
% 0.20/0.55 % (25939)Memory used [KB]: 5884
% 0.20/0.55 % (25939)Time elapsed: 0.145 s
% 0.20/0.55 % (25939)Instructions burned: 10 (million)
% 0.20/0.55 % (25939)------------------------------
% 0.20/0.55 % (25939)------------------------------
% 0.20/0.55 % (25953)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.56 TRYING [3]
% 0.20/0.57 % (25966)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.58 TRYING [1]
% 0.20/0.58 TRYING [2]
% 0.20/0.58 TRYING [4]
% 0.20/0.58 TRYING [1]
% 0.20/0.59 % (25944)Instruction limit reached!
% 0.20/0.59 % (25944)------------------------------
% 0.20/0.59 % (25944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (25944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (25944)Termination reason: Unknown
% 0.20/0.59 % (25944)Termination phase: Finite model building constraint generation
% 0.20/0.59
% 0.20/0.59 % (25944)Memory used [KB]: 7164
% 0.20/0.59 % (25944)Time elapsed: 0.119 s
% 0.20/0.59 % (25944)Instructions burned: 53 (million)
% 0.20/0.59 % (25944)------------------------------
% 0.20/0.59 % (25944)------------------------------
% 0.20/0.60 TRYING [3]
% 0.20/0.61 TRYING [2]
% 0.20/0.61 TRYING [3]
% 1.96/0.61 % (25947)Instruction limit reached!
% 1.96/0.61 % (25947)------------------------------
% 1.96/0.61 % (25947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61 % (25940)Instruction limit reached!
% 1.96/0.61 % (25940)------------------------------
% 1.96/0.61 % (25940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.61 % (25940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.96/0.61 % (25940)Termination reason: Unknown
% 1.96/0.61 % (25940)Termination phase: Saturation
% 1.96/0.61
% 1.96/0.61 % (25940)Memory used [KB]: 1407
% 1.96/0.61 % (25940)Time elapsed: 0.191 s
% 1.96/0.61 % (25940)Instructions burned: 37 (million)
% 1.96/0.61 % (25940)------------------------------
% 1.96/0.61 % (25940)------------------------------
% 1.96/0.62 % (25941)Instruction limit reached!
% 1.96/0.62 % (25941)------------------------------
% 1.96/0.62 % (25941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62 TRYING [4]
% 1.96/0.62 % (25942)Instruction limit reached!
% 1.96/0.62 % (25942)------------------------------
% 1.96/0.62 % (25942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.96/0.62 % (25943)Instruction limit reached!
% 1.96/0.62 % (25943)------------------------------
% 1.96/0.62 % (25943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63 % (25952)Instruction limit reached!
% 2.17/0.63 % (25952)------------------------------
% 2.17/0.63 % (25952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63 % (25947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63 % (25947)Termination reason: Unknown
% 2.17/0.63 % (25947)Termination phase: Saturation
% 2.17/0.63
% 2.17/0.63 % (25947)Memory used [KB]: 1407
% 2.17/0.63 % (25947)Time elapsed: 0.195 s
% 2.17/0.63 % (25947)Instructions burned: 51 (million)
% 2.17/0.63 % (25947)------------------------------
% 2.17/0.63 % (25947)------------------------------
% 2.17/0.63 TRYING [4]
% 2.17/0.63 % (25952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63 % (25952)Termination reason: Unknown
% 2.17/0.63 % (25952)Termination phase: Saturation
% 2.17/0.63
% 2.17/0.63 % (25952)Memory used [KB]: 6396
% 2.17/0.63 % (25952)Time elapsed: 0.067 s
% 2.17/0.63 % (25952)Instructions burned: 69 (million)
% 2.17/0.63 % (25952)------------------------------
% 2.17/0.63 % (25952)------------------------------
% 2.17/0.63 % (25948)Instruction limit reached!
% 2.17/0.63 % (25948)------------------------------
% 2.17/0.63 % (25948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.63 % (25948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63 % (25948)Termination reason: Unknown
% 2.17/0.63 % (25948)Termination phase: Saturation
% 2.17/0.63
% 2.17/0.63 % (25948)Memory used [KB]: 6780
% 2.17/0.63 % (25948)Time elapsed: 0.233 s
% 2.17/0.63 % (25948)Instructions burned: 50 (million)
% 2.17/0.63 % (25948)------------------------------
% 2.17/0.63 % (25948)------------------------------
% 2.17/0.63 % (25941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.63 % (25941)Termination reason: Unknown
% 2.17/0.63 % (25941)Termination phase: Saturation
% 2.17/0.63
% 2.17/0.63 % (25941)Memory used [KB]: 6908
% 2.17/0.63 % (25941)Time elapsed: 0.197 s
% 2.17/0.63 % (25941)Instructions burned: 51 (million)
% 2.17/0.63 % (25941)------------------------------
% 2.17/0.63 % (25941)------------------------------
% 2.21/0.64 % (25942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64 % (25943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64 % (25943)Termination reason: Unknown
% 2.21/0.64 % (25943)Termination phase: Saturation
% 2.21/0.64
% 2.21/0.64 % (25943)Memory used [KB]: 6652
% 2.21/0.64 % (25943)Time elapsed: 0.218 s
% 2.21/0.64 % (25943)Instructions burned: 49 (million)
% 2.21/0.64 % (25943)------------------------------
% 2.21/0.64 % (25943)------------------------------
% 2.21/0.64 % (25942)Termination reason: Unknown
% 2.21/0.64 % (25955)Instruction limit reached!
% 2.21/0.64 % (25955)------------------------------
% 2.21/0.64 % (25955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64 % (25955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64 % (25955)Termination reason: Unknown
% 2.21/0.64 % (25955)Termination phase: Finite model building constraint generation
% 2.21/0.64
% 2.21/0.64 % (25955)Memory used [KB]: 7419
% 2.21/0.64 % (25955)Time elapsed: 0.222 s
% 2.21/0.64 % (25955)Instructions burned: 61 (million)
% 2.21/0.64 % (25955)------------------------------
% 2.21/0.64 % (25955)------------------------------
% 2.21/0.64 % (25942)Termination phase: Saturation
% 2.21/0.64
% 2.21/0.64 % (25942)Memory used [KB]: 7675
% 2.21/0.64 % (25942)Time elapsed: 0.218 s
% 2.21/0.64 % (25942)Instructions burned: 52 (million)
% 2.21/0.64 % (25942)------------------------------
% 2.21/0.64 % (25942)------------------------------
% 2.21/0.66 % (25964)Instruction limit reached!
% 2.21/0.66 % (25964)------------------------------
% 2.21/0.66 % (25964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.67 % (25964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.67 % (25964)Termination reason: Unknown
% 2.21/0.67 % (25964)Termination phase: Saturation
% 2.21/0.67
% 2.21/0.67 % (25964)Memory used [KB]: 6396
% 2.21/0.67 % (25964)Time elapsed: 0.036 s
% 2.21/0.67 % (25964)Instructions burned: 70 (million)
% 2.21/0.67 % (25964)------------------------------
% 2.21/0.67 % (25964)------------------------------
% 2.21/0.67 % (25968)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.21/0.68 % (25969)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.21/0.68 TRYING [5]
% 2.21/0.69 % (25953)Instruction limit reached!
% 2.21/0.69 % (25953)------------------------------
% 2.21/0.69 % (25953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.69 % (25970)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.21/0.70 % (25953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.70 % (25953)Termination reason: Unknown
% 2.21/0.70 % (25953)Termination phase: Saturation
% 2.21/0.70
% 2.21/0.70 % (25953)Memory used [KB]: 1535
% 2.21/0.70 % (25953)Time elapsed: 0.278 s
% 2.21/0.70 % (25953)Instructions burned: 75 (million)
% 2.21/0.70 % (25953)------------------------------
% 2.21/0.70 % (25953)------------------------------
% 2.62/0.70 % (25957)Instruction limit reached!
% 2.62/0.70 % (25957)------------------------------
% 2.62/0.70 % (25957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.71 % (25956)Instruction limit reached!
% 2.62/0.71 % (25956)------------------------------
% 2.62/0.71 % (25956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.71 % (25971)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.62/0.72 % (25956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.72 % (25957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.72 % (25956)Termination reason: Unknown
% 2.62/0.72 % (25956)Termination phase: Saturation
% 2.62/0.72 % (25957)Termination reason: Unknown
% 2.62/0.72
% 2.62/0.72 % (25957)Termination phase: Saturation
% 2.62/0.72
% 2.62/0.72 % (25956)Memory used [KB]: 7036
% 2.62/0.72 % (25956)Time elapsed: 0.311 s
% 2.62/0.72 % (25957)Memory used [KB]: 1918
% 2.62/0.72 % (25956)Instructions burned: 100 (million)
% 2.62/0.72 % (25957)Time elapsed: 0.302 s
% 2.62/0.72 % (25956)------------------------------
% 2.62/0.72 % (25956)------------------------------
% 2.62/0.72 % (25957)Instructions burned: 100 (million)
% 2.62/0.72 % (25957)------------------------------
% 2.62/0.72 % (25957)------------------------------
% 2.62/0.73 % (25949)Instruction limit reached!
% 2.62/0.73 % (25949)------------------------------
% 2.62/0.73 % (25949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.73 % (25949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.73 % (25949)Termination reason: Unknown
% 2.62/0.73 % (25949)Termination phase: Saturation
% 2.62/0.73
% 2.62/0.73 % (25949)Memory used [KB]: 7803
% 2.62/0.73 % (25949)Time elapsed: 0.317 s
% 2.62/0.73 % (25949)Instructions burned: 101 (million)
% 2.62/0.73 % (25949)------------------------------
% 2.62/0.73 % (25949)------------------------------
% 2.62/0.74 % (25951)Instruction limit reached!
% 2.62/0.74 % (25951)------------------------------
% 2.62/0.74 % (25951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.74 % (25951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.74 % (25951)Termination reason: Unknown
% 2.62/0.74 % (25951)Termination phase: Saturation
% 2.62/0.74
% 2.62/0.74 % (25951)Memory used [KB]: 7803
% 2.62/0.74 % (25951)Time elapsed: 0.318 s
% 2.62/0.74 % (25951)Instructions burned: 100 (million)
% 2.62/0.74 % (25951)------------------------------
% 2.62/0.74 % (25951)------------------------------
% 2.62/0.74 % (25972)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.62/0.74 % (25954)Instruction limit reached!
% 2.62/0.74 % (25954)------------------------------
% 2.62/0.74 % (25954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.74 % (25954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.74 % (25954)Termination reason: Unknown
% 2.62/0.74 % (25954)Termination phase: Saturation
% 2.62/0.74
% 2.62/0.74 % (25954)Memory used [KB]: 7164
% 2.62/0.74 % (25954)Time elapsed: 0.340 s
% 2.62/0.74 % (25954)Instructions burned: 100 (million)
% 2.62/0.74 % (25954)------------------------------
% 2.62/0.74 % (25954)------------------------------
% 2.62/0.75 % (25974)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.62/0.76 % (25975)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.62/0.76 % (25950)Instruction limit reached!
% 2.62/0.76 % (25950)------------------------------
% 2.62/0.76 % (25950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.76 % (25950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.76 % (25950)Termination reason: Unknown
% 2.62/0.76 % (25950)Termination phase: Saturation
% 2.62/0.76
% 2.62/0.76 % (25950)Memory used [KB]: 7675
% 2.62/0.76 % (25950)Time elapsed: 0.328 s
% 2.62/0.76 % (25950)Instructions burned: 101 (million)
% 2.62/0.76 % (25950)------------------------------
% 2.62/0.76 % (25950)------------------------------
% 2.62/0.76 % (25979)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 3.00/0.77 % (25978)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.00/0.77 % (25976)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 3.00/0.77 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.00/0.77 % (25977)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 3.00/0.77 % (25973)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 3.00/0.80 % (25980)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.00/0.81 % (25959)Instruction limit reached!
% 3.00/0.81 % (25959)------------------------------
% 3.00/0.81 % (25959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.81 % (25959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.81 % (25959)Termination reason: Unknown
% 3.00/0.81 % (25959)Termination phase: Saturation
% 3.00/0.81
% 3.00/0.81 % (25959)Memory used [KB]: 8443
% 3.00/0.81 % (25959)Time elapsed: 0.381 s
% 3.00/0.81 % (25959)Instructions burned: 138 (million)
% 3.00/0.81 % (25959)------------------------------
% 3.00/0.81 % (25959)------------------------------
% 3.00/0.82 % (25977)Refutation not found, incomplete strategy% (25977)------------------------------
% 3.00/0.82 % (25977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.82 % (25977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.82 % (25977)Termination reason: Refutation not found, incomplete strategy
% 3.00/0.82
% 3.00/0.82 % (25977)Memory used [KB]: 5884
% 3.00/0.82 % (25977)Time elapsed: 0.146 s
% 3.00/0.82 % (25977)Instructions burned: 18 (million)
% 3.00/0.82 % (25977)------------------------------
% 3.00/0.82 % (25977)------------------------------
% 3.00/0.83 % (25981)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.00/0.84 % (25983)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.00/0.85 TRYING [6]
% 3.00/0.85 % (25958)Instruction limit reached!
% 3.00/0.85 % (25958)------------------------------
% 3.00/0.85 % (25958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.00/0.85 % (25958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.00/0.85 % (25958)Termination reason: Unknown
% 3.00/0.85 % (25958)Termination phase: Saturation
% 3.00/0.85
% 3.00/0.85 % (25958)Memory used [KB]: 8571
% 3.00/0.85 % (25958)Time elapsed: 0.423 s
% 3.00/0.85 % (25958)Instructions burned: 176 (million)
% 3.00/0.85 % (25958)------------------------------
% 3.00/0.85 % (25958)------------------------------
% 3.00/0.86 % (25982)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.43/0.87 % (25984)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.43/0.87 % (25985)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.43/0.88 % (25986)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.43/0.88 % (25970)Instruction limit reached!
% 3.43/0.88 % (25970)------------------------------
% 3.43/0.88 % (25970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.88 % (25970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.88 % (25970)Termination reason: Unknown
% 3.43/0.88 % (25970)Termination phase: Saturation
% 3.43/0.88
% 3.43/0.88 % (25970)Memory used [KB]: 8443
% 3.43/0.88 % (25970)Time elapsed: 0.294 s
% 3.43/0.88 % (25970)Instructions burned: 91 (million)
% 3.43/0.88 % (25970)------------------------------
% 3.43/0.88 % (25970)------------------------------
% 3.43/0.88 % (25965)Instruction limit reached!
% 3.43/0.88 % (25965)------------------------------
% 3.43/0.88 % (25965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.88 % (25965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.88 % (25965)Termination reason: Unknown
% 3.43/0.88 % (25965)Termination phase: Saturation
% 3.43/0.88
% 3.43/0.88 % (25965)Memory used [KB]: 1918
% 3.43/0.88 % (25965)Time elapsed: 0.478 s
% 3.43/0.88 % (25965)Instructions burned: 178 (million)
% 3.43/0.88 % (25965)------------------------------
% 3.43/0.88 % (25965)------------------------------
% 3.43/0.89 % (25975)Instruction limit reached!
% 3.43/0.89 % (25975)------------------------------
% 3.43/0.89 % (25975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.43/0.89 % (25975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.43/0.89 % (25975)Termination reason: Unknown
% 3.43/0.89 % (25975)Termination phase: Saturation
% 3.43/0.89
% 3.43/0.89 % (25975)Memory used [KB]: 6396
% 3.43/0.89 % (25975)Time elapsed: 0.034 s
% 3.43/0.89 % (25975)Instructions burned: 70 (million)
% 3.43/0.89 % (25975)------------------------------
% 3.43/0.89 % (25975)------------------------------
% 3.60/0.91 % (25987)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.72/0.93 % (25978)Instruction limit reached!
% 3.72/0.93 % (25978)------------------------------
% 3.72/0.93 % (25978)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.72/0.93 % (25978)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.72/0.93 % (25978)Termination reason: Unknown
% 3.72/0.93 % (25978)Termination phase: Saturation
% 3.72/0.93
% 3.72/0.93 % (25978)Memory used [KB]: 6908
% 3.72/0.93 % (25978)Time elapsed: 0.273 s
% 3.72/0.93 % (25978)Instructions burned: 90 (million)
% 3.72/0.93 % (25978)------------------------------
% 3.72/0.93 % (25978)------------------------------
% 3.79/0.94 % (25988)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.79/0.96 % (25989)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.79/0.98 % (25990)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/90Mi)
% 3.79/0.98 % (25985)Instruction limit reached!
% 3.79/0.98 % (25985)------------------------------
% 3.79/0.98 % (25985)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.79/0.98 % (25985)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.79/0.98 % (25985)Termination reason: Unknown
% 3.79/0.98 % (25985)Termination phase: Saturation
% 3.79/0.98
% 3.79/0.98 % (25985)Memory used [KB]: 6396
% 3.79/0.98 % (25985)Time elapsed: 0.033 s
% 3.79/0.98 % (25985)Instructions burned: 71 (million)
% 3.79/0.98 % (25985)------------------------------
% 3.79/0.98 % (25985)------------------------------
% 4.05/1.01 % (25961)First to succeed.
% 4.05/1.02 % (25992)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 4.05/1.03 % (25993)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/9965Mi)
% 4.05/1.03 % (25991)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 4.05/1.04 % (25961)Refutation found. Thanks to Tanya!
% 4.05/1.04 % SZS status Theorem for theBenchmark
% 4.05/1.04 % SZS output start Proof for theBenchmark
% See solution above
% 4.05/1.04 % (25961)------------------------------
% 4.05/1.04 % (25961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.05/1.04 % (25961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.05/1.04 % (25961)Termination reason: Refutation
% 4.05/1.04
% 4.05/1.04 % (25961)Memory used [KB]: 10746
% 4.05/1.04 % (25961)Time elapsed: 0.593 s
% 4.05/1.04 % (25961)Instructions burned: 264 (million)
% 4.05/1.04 % (25961)------------------------------
% 4.05/1.04 % (25961)------------------------------
% 4.05/1.04 % (25937)Success in time 0.685 s
%------------------------------------------------------------------------------