TSTP Solution File: SCT117+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SCT117+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n015.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 May 1 03:42:58 EDT 2024
% Result : Theorem 0.91s 1.03s
% Output : Refutation 0.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 43
% Syntax : Number of formulae : 219 ( 4 unt; 0 def)
% Number of atoms : 1081 ( 385 equ)
% Maximal formula atoms : 53 ( 4 avg)
% Number of connectives : 1365 ( 503 ~; 481 |; 307 &)
% ( 30 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 32 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-4 aty)
% Number of variables : 173 ( 134 !; 39 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1750,plain,
$false,
inference(avatar_sat_refutation,[],[f672,f677,f682,f687,f692,f697,f702,f707,f712,f725,f735,f745,f771,f808,f814,f837,f850,f851,f875,f1155,f1163,f1182,f1209,f1238,f1305,f1332,f1351,f1370,f1455,f1465,f1489,f1501,f1539,f1542,f1587,f1749]) ).
fof(f1749,plain,
( spl13_14
| ~ spl13_17
| ~ spl13_19 ),
inference(avatar_contradiction_clause,[],[f1748]) ).
fof(f1748,plain,
( $false
| spl13_14
| ~ spl13_17
| ~ spl13_19 ),
inference(subsumption_resolution,[],[f1747,f744]) ).
fof(f744,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L)
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f742,plain,
( spl13_19
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f1747,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L)
| spl13_14
| ~ spl13_17 ),
inference(resolution,[],[f1721,f734]) ).
fof(f734,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK12),v_L)
| ~ spl13_17 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f732,plain,
( spl13_17
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK12),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f1721,plain,
( ! [X0] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK12),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,X0),v_L) )
| spl13_14 ),
inference(resolution,[],[f720,f582]) ).
fof(f582,plain,
! [X3,X4,X5] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) ),
inference(cnf_transformation,[],[f539]) ).
fof(f539,plain,
( ! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
| X0 = X1 )
& ! [X2] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L)
& ! [X3,X4] :
( ! [X5] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L) )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) ) ),
inference(flattening,[],[f538]) ).
fof(f538,plain,
( ! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
| X0 = X1 )
& ! [X2] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L)
& ! [X3,X4] :
( ! [X5] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L) )
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) ) ),
inference(ennf_transformation,[],[f530]) ).
fof(f530,plain,
( ! [X0,X1] :
( X0 != X1
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) ) )
& ! [X2] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L)
& ! [X3,X4] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)
=> ! [X5] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L)
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L) ) ) ),
inference(rectify,[],[f527]) ).
fof(f527,axiom,
( ! [X2,X35] :
( X2 != X35
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X2),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L) ) )
& ! [X2] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L)
& ! [X2,X35] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L)
=> ! [X34] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),v_L)
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X34),v_L) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4YdwAcNMxY/Vampire---4.8_24947',conj_1) ).
fof(f720,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK12),v_L)
| spl13_14 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f718,plain,
( spl13_14
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK12),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f1587,plain,
( ~ spl13_15
| ~ spl13_18
| ~ spl13_29 ),
inference(avatar_contradiction_clause,[],[f1586]) ).
fof(f1586,plain,
( $false
| ~ spl13_15
| ~ spl13_18
| ~ spl13_29 ),
inference(subsumption_resolution,[],[f1574,f583]) ).
fof(f583,plain,
! [X2] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L),
inference(cnf_transformation,[],[f539]) ).
fof(f1574,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,v_x),v_L)
| ~ spl13_15
| ~ spl13_18
| ~ spl13_29 ),
inference(backward_demodulation,[],[f1404,f807]) ).
fof(f807,plain,
( v_x = sK11
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl13_29
<=> v_x = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f1404,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK11),v_L)
| ~ spl13_15
| ~ spl13_18 ),
inference(resolution,[],[f1400,f601]) ).
fof(f601,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L) ),
inference(cnf_transformation,[],[f566]) ).
fof(f566,plain,
! [X0,X1] :
( ( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = sK9(X0) )
| sP2(sK9(X0),X0)
| ( v_y = sK9(X0)
& v_x = X0 ) )
& v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
& v_y = X1 )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f564,f565]) ).
fof(f565,plain,
! [X0] :
( ? [X2] :
( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = X2 )
| sP2(X2,X0)
| ( v_y = X2
& v_x = X0 ) )
=> ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = sK9(X0) )
| sP2(sK9(X0),X0)
| ( v_y = sK9(X0)
& v_x = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f564,plain,
! [X0,X1] :
( ( ? [X2] :
( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = X2 )
| sP2(X2,X0)
| ( v_y = X2
& v_x = X0 ) )
& v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
& v_y = X1 )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f563]) ).
fof(f563,plain,
! [X3,X2] :
( ( ? [X4] :
( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_y = X4 )
| sP2(X4,X3)
| ( v_y = X4
& v_x = X3 ) )
& v_y != X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L)
& v_y = X2 )
| ~ sP3(X3,X2) ),
inference(nnf_transformation,[],[f552]) ).
fof(f552,plain,
! [X3,X2] :
( ( ? [X4] :
( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_y = X4 )
| sP2(X4,X3)
| ( v_y = X4
& v_x = X3 ) )
& v_y != X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L)
& v_y = X2 )
| ~ sP3(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1400,plain,
( sP3(sK11,v_y)
| ~ spl13_15
| ~ spl13_18 ),
inference(forward_demodulation,[],[f724,f738]) ).
fof(f738,plain,
( v_y = sK10
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f737,plain,
( spl13_18
<=> v_y = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f724,plain,
( sP3(sK11,sK10)
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f722,plain,
( spl13_15
<=> sP3(sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f1542,plain,
( ~ spl13_30
| ~ spl13_28 ),
inference(avatar_split_clause,[],[f1407,f800,f810]) ).
fof(f810,plain,
( spl13_30
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK9(sK11)),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f800,plain,
( spl13_28
<=> sP2(sK9(sK11),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f1407,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK9(sK11)),v_L)
| ~ spl13_28 ),
inference(resolution,[],[f802,f609]) ).
fof(f609,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L) ),
inference(cnf_transformation,[],[f568]) ).
fof(f568,plain,
! [X0,X1] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
& v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f567]) ).
fof(f567,plain,
! [X4,X3] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X4),v_L)
& v_y != X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) )
| ~ sP2(X4,X3) ),
inference(nnf_transformation,[],[f551]) ).
fof(f551,plain,
! [X4,X3] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X4),v_L)
& v_y != X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) )
| ~ sP2(X4,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f802,plain,
( sP2(sK9(sK11),sK11)
| ~ spl13_28 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f1539,plain,
( spl13_26
| ~ spl13_49
| ~ spl13_51 ),
inference(avatar_contradiction_clause,[],[f1538]) ).
fof(f1538,plain,
( $false
| spl13_26
| ~ spl13_49
| ~ spl13_51 ),
inference(subsumption_resolution,[],[f1537,f1488]) ).
fof(f1488,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK9(sK11)),v_L)
| ~ spl13_51 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f1486,plain,
( spl13_51
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK9(sK11)),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_51])]) ).
fof(f1537,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK9(sK11)),v_L)
| spl13_26
| ~ spl13_49 ),
inference(resolution,[],[f1414,f1454]) ).
fof(f1454,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK9(sK11),v_x),v_L)
| ~ spl13_49 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1452,plain,
( spl13_49
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK9(sK11),v_x),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_49])]) ).
fof(f1414,plain,
( ! [X0] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,X0),v_L) )
| spl13_26 ),
inference(resolution,[],[f793,f582]) ).
fof(f793,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L)
| spl13_26 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f792,plain,
( spl13_26
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f1501,plain,
( ~ spl13_28
| ~ spl13_50 ),
inference(avatar_contradiction_clause,[],[f1500]) ).
fof(f1500,plain,
( $false
| ~ spl13_28
| ~ spl13_50 ),
inference(subsumption_resolution,[],[f1490,f752]) ).
fof(f752,plain,
! [X0] : ~ sP2(X0,X0),
inference(resolution,[],[f607,f583]) ).
fof(f607,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f568]) ).
fof(f1490,plain,
( sP2(sK11,sK11)
| ~ spl13_28
| ~ spl13_50 ),
inference(backward_demodulation,[],[f802,f1484]) ).
fof(f1484,plain,
( sK11 = sK9(sK11)
| ~ spl13_50 ),
inference(avatar_component_clause,[],[f1482]) ).
fof(f1482,plain,
( spl13_50
<=> sK11 = sK9(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_50])]) ).
fof(f1489,plain,
( spl13_50
| spl13_51
| ~ spl13_28 ),
inference(avatar_split_clause,[],[f1478,f800,f1486,f1482]) ).
fof(f1478,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK9(sK11)),v_L)
| sK11 = sK9(sK11)
| ~ spl13_28 ),
inference(resolution,[],[f1406,f584]) ).
fof(f584,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
| X0 = X1 ),
inference(cnf_transformation,[],[f539]) ).
fof(f1406,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK9(sK11),sK11),v_L)
| ~ spl13_28 ),
inference(resolution,[],[f802,f929]) ).
fof(f929,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) ),
inference(resolution,[],[f772,f607]) ).
fof(f772,plain,
! [X0,X1] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) ),
inference(resolution,[],[f582,f583]) ).
fof(f1465,plain,
( spl13_26
| ~ spl13_28
| ~ spl13_48 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1464,plain,
( $false
| spl13_26
| ~ spl13_28
| ~ spl13_48 ),
inference(subsumption_resolution,[],[f1460,f1416]) ).
fof(f1416,plain,
( ~ sP2(v_x,sK11)
| spl13_26 ),
inference(resolution,[],[f793,f607]) ).
fof(f1460,plain,
( sP2(v_x,sK11)
| ~ spl13_28
| ~ spl13_48 ),
inference(backward_demodulation,[],[f802,f1450]) ).
fof(f1450,plain,
( v_x = sK9(sK11)
| ~ spl13_48 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1448,plain,
( spl13_48
<=> v_x = sK9(sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_48])]) ).
fof(f1455,plain,
( spl13_48
| spl13_49
| spl13_30 ),
inference(avatar_split_clause,[],[f1444,f810,f1452,f1448]) ).
fof(f1444,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK9(sK11),v_x),v_L)
| v_x = sK9(sK11)
| spl13_30 ),
inference(resolution,[],[f812,f584]) ).
fof(f812,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK9(sK11)),v_L)
| spl13_30 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f1370,plain,
( spl13_8
| spl13_5
| spl13_7 ),
inference(avatar_split_clause,[],[f1369,f684,f674,f689]) ).
fof(f689,plain,
( spl13_8
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f674,plain,
( spl13_5
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_x),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f684,plain,
( spl13_7
<=> v_x = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f1369,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L)
| spl13_5
| spl13_7 ),
inference(subsumption_resolution,[],[f1363,f686]) ).
fof(f686,plain,
( v_x != sK7
| spl13_7 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f1363,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L)
| v_x = sK7
| spl13_5 ),
inference(resolution,[],[f676,f584]) ).
fof(f676,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_x),v_L)
| spl13_5 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f1351,plain,
( ~ spl13_2
| ~ spl13_4
| spl13_12 ),
inference(avatar_split_clause,[],[f1350,f709,f669,f661]) ).
fof(f661,plain,
( spl13_2
<=> v_y = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f669,plain,
( spl13_4
<=> v_y = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f709,plain,
( spl13_12
<=> sK6 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f1350,plain,
( v_y != sK7
| ~ spl13_4
| spl13_12 ),
inference(forward_demodulation,[],[f711,f671]) ).
fof(f671,plain,
( v_y = sK6
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f711,plain,
( sK6 != sK7
| spl13_12 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f1332,plain,
( spl13_3
| spl13_9
| spl13_11 ),
inference(avatar_contradiction_clause,[],[f1331]) ).
fof(f1331,plain,
( $false
| spl13_3
| spl13_9
| spl13_11 ),
inference(subsumption_resolution,[],[f1330,f706]) ).
fof(f706,plain,
( v_x != sK6
| spl13_11 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f704,plain,
( spl13_11
<=> v_x = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f1330,plain,
( v_x = sK6
| spl13_3
| spl13_9 ),
inference(subsumption_resolution,[],[f1327,f696]) ).
fof(f696,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,v_x),v_L)
| spl13_9 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f694,plain,
( spl13_9
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,v_x),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f1327,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,v_x),v_L)
| v_x = sK6
| spl13_3 ),
inference(resolution,[],[f667,f584]) ).
fof(f667,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK6),v_L)
| spl13_3 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f665,plain,
( spl13_3
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK6),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f1305,plain,
( ~ spl13_15
| ~ spl13_18
| ~ spl13_26 ),
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1304,plain,
( $false
| ~ spl13_15
| ~ spl13_18
| ~ spl13_26 ),
inference(subsumption_resolution,[],[f1302,f1193]) ).
fof(f1193,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK11),v_L)
| ~ spl13_26 ),
inference(resolution,[],[f794,f772]) ).
fof(f794,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L)
| ~ spl13_26 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f1302,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK11),v_L)
| ~ spl13_15
| ~ spl13_18 ),
inference(resolution,[],[f1287,f601]) ).
fof(f1287,plain,
( sP3(sK11,v_y)
| ~ spl13_15
| ~ spl13_18 ),
inference(forward_demodulation,[],[f724,f738]) ).
fof(f1238,plain,
( ~ spl13_13
| spl13_47 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
fof(f1237,plain,
( $false
| ~ spl13_13
| spl13_47 ),
inference(subsumption_resolution,[],[f1223,f751]) ).
fof(f751,plain,
! [X0] : ~ sP4(X0,X0),
inference(resolution,[],[f594,f583]) ).
fof(f594,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f562]) ).
fof(f562,plain,
! [X0,X1] :
( ( ( sP1(X1,X0,sK8(X0,X1))
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK8(X0,X1)),v_L)
& v_y != sK8(X0,X1)
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK8(X0,X1)),v_L) )
| sP0(X1,sK8(X0,X1),X0) )
& v_y != X0
& v_y != X1
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f560,f561]) ).
fof(f561,plain,
! [X0,X1] :
( ? [X2] :
( sP1(X1,X0,X2)
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L) )
| sP0(X1,X2,X0) )
=> ( sP1(X1,X0,sK8(X0,X1))
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK8(X0,X1)),v_L)
& v_y != sK8(X0,X1)
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK8(X0,X1)),v_L) )
| sP0(X1,sK8(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f560,plain,
! [X0,X1] :
( ( ? [X2] :
( sP1(X1,X0,X2)
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L) )
| sP0(X1,X2,X0) )
& v_y != X0
& v_y != X1
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f559]) ).
fof(f559,plain,
! [X3,X2] :
( ( ? [X6] :
( sP1(X2,X3,X6)
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L)
& v_y != X6
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X6),v_L) )
| sP0(X2,X6,X3) )
& v_y != X3
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L) )
| ~ sP4(X3,X2) ),
inference(nnf_transformation,[],[f553]) ).
fof(f553,plain,
! [X3,X2] :
( ( ? [X6] :
( sP1(X2,X3,X6)
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L)
& v_y != X6
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X6),v_L) )
| sP0(X2,X6,X3) )
& v_y != X3
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L) )
| ~ sP4(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1223,plain,
( sP4(sK10,sK10)
| ~ spl13_13
| spl13_47 ),
inference(backward_demodulation,[],[f716,f1222]) ).
fof(f1222,plain,
( sK10 = sK11
| ~ spl13_13
| spl13_47 ),
inference(subsumption_resolution,[],[f1219,f1154]) ).
fof(f1154,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L)
| spl13_47 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1152,plain,
( spl13_47
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_47])]) ).
fof(f1219,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L)
| sK10 = sK11
| ~ spl13_13 ),
inference(resolution,[],[f1115,f584]) ).
fof(f1115,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK10),v_L)
| ~ spl13_13 ),
inference(resolution,[],[f930,f716]) ).
fof(f930,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) ),
inference(resolution,[],[f772,f594]) ).
fof(f716,plain,
( sP4(sK11,sK10)
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f714,plain,
( spl13_13
<=> sP4(sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f1209,plain,
( ~ spl13_47
| spl13_19
| ~ spl13_26 ),
inference(avatar_split_clause,[],[f1208,f792,f742,f1152]) ).
fof(f1208,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L)
| spl13_19
| ~ spl13_26 ),
inference(resolution,[],[f1186,f794]) ).
fof(f1186,plain,
( ! [X0] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,X0),v_L) )
| spl13_19 ),
inference(resolution,[],[f743,f582]) ).
fof(f743,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L)
| spl13_19 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f1182,plain,
( ~ spl13_19
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f1158,f760,f742]) ).
fof(f760,plain,
( spl13_21
<=> sP1(sK10,sK11,sK8(sK11,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f1158,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L)
| ~ spl13_21 ),
inference(resolution,[],[f762,f613]) ).
fof(f613,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L) ),
inference(cnf_transformation,[],[f570]) ).
fof(f570,plain,
! [X0,X1,X2] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_x != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
& v_y = X2 )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f569]) ).
fof(f569,plain,
! [X2,X3,X6] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_x != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_y = X6 )
| ~ sP1(X2,X3,X6) ),
inference(nnf_transformation,[],[f550]) ).
fof(f550,plain,
! [X2,X3,X6] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_x != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_y = X6 )
| ~ sP1(X2,X3,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f762,plain,
( sP1(sK10,sK11,sK8(sK11,sK10))
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f1163,plain,
( spl13_26
| ~ spl13_21 ),
inference(avatar_split_clause,[],[f1159,f760,f792]) ).
fof(f1159,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L)
| ~ spl13_21 ),
inference(resolution,[],[f762,f611]) ).
fof(f611,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L) ),
inference(cnf_transformation,[],[f570]) ).
fof(f1155,plain,
( spl13_21
| ~ spl13_47
| ~ spl13_13
| spl13_22
| spl13_23 ),
inference(avatar_split_clause,[],[f1150,f768,f764,f714,f1152,f760]) ).
fof(f764,plain,
( spl13_22
<=> sP0(sK10,sK8(sK11,sK10),sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f768,plain,
( spl13_23
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK8(sK11,sK10)),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f1150,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L)
| sP1(sK10,sK11,sK8(sK11,sK10))
| ~ spl13_13
| spl13_22
| spl13_23 ),
inference(subsumption_resolution,[],[f1149,f716]) ).
fof(f1149,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L)
| sP1(sK10,sK11,sK8(sK11,sK10))
| ~ sP4(sK11,sK10)
| spl13_22
| spl13_23 ),
inference(subsumption_resolution,[],[f1107,f765]) ).
fof(f765,plain,
( ~ sP0(sK10,sK8(sK11,sK10),sK11)
| spl13_22 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f1107,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L)
| sP1(sK10,sK11,sK8(sK11,sK10))
| sP0(sK10,sK8(sK11,sK10),sK11)
| ~ sP4(sK11,sK10)
| spl13_23 ),
inference(resolution,[],[f1034,f597]) ).
fof(f597,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK8(X0,X1)),v_L)
| sP1(X1,X0,sK8(X0,X1))
| sP0(X1,sK8(X0,X1),X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f562]) ).
fof(f1034,plain,
( ! [X0] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK8(sK11,sK10)),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,X0),v_L) )
| spl13_23 ),
inference(resolution,[],[f770,f582]) ).
fof(f770,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK8(sK11,sK10)),v_L)
| spl13_23 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f875,plain,
( ~ spl13_13
| spl13_19
| ~ spl13_29 ),
inference(avatar_contradiction_clause,[],[f874]) ).
fof(f874,plain,
( $false
| ~ spl13_13
| spl13_19
| ~ spl13_29 ),
inference(subsumption_resolution,[],[f864,f856]) ).
fof(f856,plain,
( sP4(v_x,sK10)
| ~ spl13_13
| ~ spl13_29 ),
inference(backward_demodulation,[],[f716,f807]) ).
fof(f864,plain,
( ~ sP4(v_x,sK10)
| spl13_19 ),
inference(resolution,[],[f743,f594]) ).
fof(f851,plain,
( ~ spl13_19
| ~ spl13_22 ),
inference(avatar_split_clause,[],[f843,f764,f742]) ).
fof(f843,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L)
| ~ spl13_22 ),
inference(resolution,[],[f766,f617]) ).
fof(f617,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L) ),
inference(cnf_transformation,[],[f572]) ).
fof(f572,plain,
! [X0,X1,X2] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_x != X0
& v_y = X1
& v_x = X2 )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f571]) ).
fof(f571,plain,
! [X2,X6,X3] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_x != X2
& v_y = X6
& v_x = X3 )
| ~ sP0(X2,X6,X3) ),
inference(nnf_transformation,[],[f549]) ).
fof(f549,plain,
! [X2,X6,X3] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_x != X2
& v_y = X6
& v_x = X3 )
| ~ sP0(X2,X6,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f766,plain,
( sP0(sK10,sK8(sK11,sK10),sK11)
| ~ spl13_22 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f850,plain,
( spl13_29
| ~ spl13_22 ),
inference(avatar_split_clause,[],[f845,f764,f805]) ).
fof(f845,plain,
( v_x = sK11
| ~ spl13_22 ),
inference(resolution,[],[f766,f614]) ).
fof(f614,plain,
! [X2,X0,X1] :
( ~ sP0(X0,X1,X2)
| v_x = X2 ),
inference(cnf_transformation,[],[f572]) ).
fof(f837,plain,
( spl13_6
| spl13_10
| spl13_12 ),
inference(avatar_contradiction_clause,[],[f836]) ).
fof(f836,plain,
( $false
| spl13_6
| spl13_10
| spl13_12 ),
inference(subsumption_resolution,[],[f835,f711]) ).
fof(f835,plain,
( sK6 = sK7
| spl13_6
| spl13_10 ),
inference(subsumption_resolution,[],[f832,f701]) ).
fof(f701,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,sK7),v_L)
| spl13_10 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f699,plain,
( spl13_10
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,sK7),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f832,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,sK7),v_L)
| sK6 = sK7
| spl13_6 ),
inference(resolution,[],[f681,f584]) ).
fof(f681,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6),v_L)
| spl13_6 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f679,plain,
( spl13_6
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f814,plain,
( spl13_18
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f790,f722,f737]) ).
fof(f790,plain,
( v_y = sK10
| ~ spl13_15 ),
inference(resolution,[],[f724,f600]) ).
fof(f600,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| v_y = X1 ),
inference(cnf_transformation,[],[f566]) ).
fof(f808,plain,
( spl13_26
| spl13_29
| spl13_28
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f787,f722,f800,f805,f792]) ).
fof(f787,plain,
( sP2(sK9(sK11),sK11)
| v_x = sK11
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,v_x),v_L)
| ~ spl13_15 ),
inference(resolution,[],[f724,f605]) ).
fof(f605,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| sP2(sK9(X0),X0)
| v_x = X0
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L) ),
inference(cnf_transformation,[],[f566]) ).
fof(f771,plain,
( spl13_21
| spl13_22
| ~ spl13_23
| ~ spl13_13 ),
inference(avatar_split_clause,[],[f758,f714,f768,f764,f760]) ).
fof(f758,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK8(sK11,sK10)),v_L)
| sP0(sK10,sK8(sK11,sK10),sK11)
| sP1(sK10,sK11,sK8(sK11,sK10))
| ~ spl13_13 ),
inference(resolution,[],[f599,f716]) ).
fof(f599,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK8(X0,X1)),v_L)
| sP0(X1,sK8(X0,X1),X0)
| sP1(X1,X0,sK8(X0,X1)) ),
inference(cnf_transformation,[],[f562]) ).
fof(f745,plain,
( spl13_13
| spl13_19
| spl13_15
| spl13_1 ),
inference(avatar_split_clause,[],[f619,f657,f722,f742,f714]) ).
fof(f657,plain,
( spl13_1
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f619,plain,
( sP5
| sP3(sK11,sK10)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L)
| sP4(sK11,sK10) ),
inference(cnf_transformation,[],[f576]) ).
fof(f576,plain,
( sP5
| sP3(sK11,sK10)
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK12),v_L)
& v_y != sK12
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK12),v_L)
& v_y != sK10
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L)
& v_y = sK11 )
| sP4(sK11,sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f573,f575,f574]) ).
fof(f574,plain,
( ? [X0,X1] :
( sP3(X1,X0)
| ( ? [X2] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L)
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X2),v_L) )
& v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = X1 )
| sP4(X1,X0) )
=> ( sP3(sK11,sK10)
| ( ? [X2] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,X2),v_L)
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X2),v_L) )
& v_y != sK10
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L)
& v_y = sK11 )
| sP4(sK11,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f575,plain,
( ? [X2] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,X2),v_L)
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X2),v_L) )
=> ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK12),v_L)
& v_y != sK12
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK12),v_L) ) ),
introduced(choice_axiom,[]) ).
fof(f573,plain,
( sP5
| ? [X0,X1] :
( sP3(X1,X0)
| ( ? [X2] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L)
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X2),v_L) )
& v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = X1 )
| sP4(X1,X0) ) ),
inference(rectify,[],[f555]) ).
fof(f555,plain,
( sP5
| ? [X2,X3] :
( sP3(X3,X2)
| ( ? [X5] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),v_L)
& v_y != X5
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X5),v_L) )
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X3 )
| sP4(X3,X2) ) ),
inference(definition_folding,[],[f541,f554,f553,f552,f551,f550,f549]) ).
fof(f554,plain,
( ? [X0,X1] :
( ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
| v_y != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| v_y != X0 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) )
& ( v_y != X0
| v_x != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)
| v_y != X0 )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y != X1 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
& ( v_y != X1
| v_x != X0 )
& X0 != X1 )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f541,plain,
( ? [X0,X1] :
( ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
| v_y != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| v_y != X0 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) )
& ( v_y != X0
| v_x != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)
| v_y != X0 )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y != X1 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
& ( v_y != X1
| v_x != X0 )
& X0 != X1 )
| ? [X2,X3] :
( ( ? [X4] :
( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_y = X4 )
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X4),v_L)
& v_y != X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) )
| ( v_y = X4
& v_x = X3 ) )
& v_y != X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L)
& v_y = X2 )
| ( ? [X5] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),v_L)
& v_y != X5
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X5),v_L) )
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X3 )
| ( ? [X6] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_x != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_y = X6 )
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L)
& v_y != X6
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X6),v_L) )
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_x != X2
& v_y = X6
& v_x = X3 ) )
& v_y != X3
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L) ) ) ),
inference(flattening,[],[f540]) ).
fof(f540,plain,
( ? [X0,X1] :
( ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
| v_y != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| v_y != X0 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) )
& ( v_y != X0
| v_x != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)
| v_y != X0 )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y != X1 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
& ( v_y != X1
| v_x != X0 )
& X0 != X1 )
| ? [X2,X3] :
( ( ? [X4] :
( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_y = X4 )
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X4),v_L)
& v_y != X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) )
| ( v_y = X4
& v_x = X3 ) )
& v_y != X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L)
& v_y = X2 )
| ( ? [X5] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),v_L)
& v_y != X5
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X5),v_L) )
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X3 )
| ( ? [X6] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_x != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_y = X6 )
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L)
& v_y != X6
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X6),v_L) )
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_x != X2
& v_y = X6
& v_x = X3 ) )
& v_y != X3
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L) ) ) ),
inference(ennf_transformation,[],[f531]) ).
fof(f531,plain,
~ ( ! [X0,X1] :
( X0 != X1
=> ( ( v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
& v_y = X1 )
| ( v_y != X1
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
& v_y = X0 )
| ( v_y != X0
& v_y != X1
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) )
| ( v_y = X0
& v_x = X1 )
| ( v_y != X1
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)
& v_y = X0 )
| ( v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = X1 )
| ( v_y != X1
& v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
| ( v_y = X1
& v_x = X0 ) ) )
& ! [X2,X3] :
( ( ( v_y != X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L)
& v_y = X2 )
=> ! [X4] :
( ( v_y = X4
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L) )
& ( ( v_y != X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X4),v_L) )
& ( v_x = X3
=> v_y != X4 ) ) )
& ( ( v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X3 )
=> ! [X5] :
( ( v_y != X5
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X5),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),v_L) ) )
& ( ( v_y != X3
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L) )
=> ! [X6] :
( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_y = X6 )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) )
& ( ( v_y != X6
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X6),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) )
& ( ( v_y = X6
& v_x = X3 )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) ) ) ) ) ),
inference(rectify,[],[f529]) ).
fof(f529,negated_conjecture,
~ ( ! [X2,X35] :
( X2 != X35
=> ( ( v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X2),v_L)
& v_y = X35 )
| ( v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L)
& v_y = X2 )
| ( v_y != X2
& v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X2),v_L) )
| ( v_y = X2
& v_x = X35 )
| ( v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L)
& v_y = X2 )
| ( v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X35 )
| ( v_y != X35
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L) )
| ( v_y = X35
& v_x = X2 ) ) )
& ! [X2,X35] :
( ( ( v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L)
& v_y = X2 )
=> ! [X34] :
( ( v_y = X34
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L) )
& ( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X34),v_L) )
& ( v_x = X35
=> v_y != X34 ) ) )
& ( ( v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X35 )
=> ! [X34] :
( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X34),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X34),v_L) ) )
& ( ( v_y != X35
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L) )
=> ! [X34] :
( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L)
& v_y = X34 )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) )
& ( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X34),v_L) )
& ( ( v_y = X34
& v_x = X35 )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) ) ) ) ) ),
inference(negated_conjecture,[],[f528]) ).
fof(f528,conjecture,
( ! [X2,X35] :
( X2 != X35
=> ( ( v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X2),v_L)
& v_y = X35 )
| ( v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L)
& v_y = X2 )
| ( v_y != X2
& v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X2),v_L) )
| ( v_y = X2
& v_x = X35 )
| ( v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L)
& v_y = X2 )
| ( v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X35 )
| ( v_y != X35
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L) )
| ( v_y = X35
& v_x = X2 ) ) )
& ! [X2,X35] :
( ( ( v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L)
& v_y = X2 )
=> ! [X34] :
( ( v_y = X34
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L) )
& ( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X34),v_L) )
& ( v_x = X35
=> v_y != X34 ) ) )
& ( ( v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X35 )
=> ! [X34] :
( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X34),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X34),v_L) ) )
& ( ( v_y != X35
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L) )
=> ! [X34] :
( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L)
& v_y = X34 )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) )
& ( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X34),v_L) )
& ( ( v_y = X34
& v_x = X35 )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.4YdwAcNMxY/Vampire---4.8_24947',conj_2) ).
fof(f735,plain,
( spl13_13
| spl13_17
| spl13_15
| spl13_1 ),
inference(avatar_split_clause,[],[f621,f657,f722,f732,f714]) ).
fof(f621,plain,
( sP5
| sP3(sK11,sK10)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK12),v_L)
| sP4(sK11,sK10) ),
inference(cnf_transformation,[],[f576]) ).
fof(f725,plain,
( spl13_13
| ~ spl13_14
| spl13_15
| spl13_1 ),
inference(avatar_split_clause,[],[f623,f657,f722,f718,f714]) ).
fof(f623,plain,
( sP5
| sP3(sK11,sK10)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK12),v_L)
| sP4(sK11,sK10) ),
inference(cnf_transformation,[],[f576]) ).
fof(f712,plain,
( ~ spl13_1
| ~ spl13_12 ),
inference(avatar_split_clause,[],[f585,f709,f657]) ).
fof(f585,plain,
( sK6 != sK7
| ~ sP5 ),
inference(cnf_transformation,[],[f558]) ).
fof(f558,plain,
( ( ( v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK6),v_L)
| v_y != sK7 )
& ( v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_x),v_L)
| v_y != sK6 )
& ( v_y = sK6
| v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6),v_L) )
& ( v_y != sK6
| v_x != sK7 )
& ( v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L)
| v_y != sK6 )
& ( v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,v_x),v_L)
| v_y != sK7 )
& ( v_y = sK7
| v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,sK7),v_L) )
& ( v_y != sK7
| v_x != sK6 )
& sK6 != sK7 )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f556,f557]) ).
fof(f557,plain,
( ? [X0,X1] :
( ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
| v_y != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| v_y != X0 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) )
& ( v_y != X0
| v_x != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)
| v_y != X0 )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y != X1 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
& ( v_y != X1
| v_x != X0 )
& X0 != X1 )
=> ( ( v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK6),v_L)
| v_y != sK7 )
& ( v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_x),v_L)
| v_y != sK6 )
& ( v_y = sK6
| v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6),v_L) )
& ( v_y != sK6
| v_x != sK7 )
& ( v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L)
| v_y != sK6 )
& ( v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,v_x),v_L)
| v_y != sK7 )
& ( v_y = sK7
| v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,sK7),v_L) )
& ( v_y != sK7
| v_x != sK6 )
& sK6 != sK7 ) ),
introduced(choice_axiom,[]) ).
fof(f556,plain,
( ? [X0,X1] :
( ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
| v_y != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| v_y != X0 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) )
& ( v_y != X0
| v_x != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)
| v_y != X0 )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y != X1 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
& ( v_y != X1
| v_x != X0 )
& X0 != X1 )
| ~ sP5 ),
inference(nnf_transformation,[],[f554]) ).
fof(f707,plain,
( ~ spl13_1
| ~ spl13_11
| ~ spl13_2 ),
inference(avatar_split_clause,[],[f586,f661,f704,f657]) ).
fof(f586,plain,
( v_y != sK7
| v_x != sK6
| ~ sP5 ),
inference(cnf_transformation,[],[f558]) ).
fof(f702,plain,
( ~ spl13_1
| ~ spl13_10
| spl13_4
| spl13_2 ),
inference(avatar_split_clause,[],[f587,f661,f669,f699,f657]) ).
fof(f587,plain,
( v_y = sK7
| v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,sK7),v_L)
| ~ sP5 ),
inference(cnf_transformation,[],[f558]) ).
fof(f697,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_9
| spl13_4 ),
inference(avatar_split_clause,[],[f588,f669,f694,f661,f657]) ).
fof(f588,plain,
( v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,v_x),v_L)
| v_y != sK7
| ~ sP5 ),
inference(cnf_transformation,[],[f558]) ).
fof(f692,plain,
( ~ spl13_1
| ~ spl13_4
| ~ spl13_8
| spl13_2 ),
inference(avatar_split_clause,[],[f589,f661,f689,f669,f657]) ).
fof(f589,plain,
( v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L)
| v_y != sK6
| ~ sP5 ),
inference(cnf_transformation,[],[f558]) ).
fof(f687,plain,
( ~ spl13_1
| ~ spl13_7
| ~ spl13_4 ),
inference(avatar_split_clause,[],[f590,f669,f684,f657]) ).
fof(f590,plain,
( v_y != sK6
| v_x != sK7
| ~ sP5 ),
inference(cnf_transformation,[],[f558]) ).
fof(f682,plain,
( ~ spl13_1
| ~ spl13_6
| spl13_2
| spl13_4 ),
inference(avatar_split_clause,[],[f591,f669,f661,f679,f657]) ).
fof(f591,plain,
( v_y = sK6
| v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6),v_L)
| ~ sP5 ),
inference(cnf_transformation,[],[f558]) ).
fof(f677,plain,
( ~ spl13_1
| ~ spl13_4
| ~ spl13_5
| spl13_2 ),
inference(avatar_split_clause,[],[f592,f661,f674,f669,f657]) ).
fof(f592,plain,
( v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_x),v_L)
| v_y != sK6
| ~ sP5 ),
inference(cnf_transformation,[],[f558]) ).
fof(f672,plain,
( ~ spl13_1
| ~ spl13_2
| ~ spl13_3
| spl13_4 ),
inference(avatar_split_clause,[],[f593,f669,f665,f661,f657]) ).
fof(f593,plain,
( v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK6),v_L)
| v_y != sK7
| ~ sP5 ),
inference(cnf_transformation,[],[f558]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SCT117+1 : TPTP v8.1.2. Released v5.2.0.
% 0.13/0.15 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36 % Computer : n015.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 16:56:18 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.4YdwAcNMxY/Vampire---4.8_24947
% 0.15/0.39 ipcrm: permission denied for id (1712095240)
% 0.15/0.39 ipcrm: permission denied for id (1712750604)
% 0.15/0.39 ipcrm: permission denied for id (1713602573)
% 0.15/0.40 ipcrm: permission denied for id (1714225169)
% 0.15/0.40 ipcrm: permission denied for id (1715601427)
% 0.15/0.40 ipcrm: permission denied for id (1715929110)
% 0.15/0.40 ipcrm: permission denied for id (1716813847)
% 0.15/0.40 ipcrm: permission denied for id (1716518936)
% 0.15/0.41 ipcrm: permission denied for id (1717108762)
% 0.15/0.41 ipcrm: permission denied for id (1717665822)
% 0.15/0.41 ipcrm: permission denied for id (1718157344)
% 0.15/0.42 ipcrm: permission denied for id (1718255651)
% 0.15/0.42 ipcrm: permission denied for id (1718485028)
% 0.15/0.42 ipcrm: permission denied for id (1718714406)
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% 0.23/0.47 ipcrm: permission denied for id (1727955023)
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% 0.23/0.49 ipcrm: permission denied for id (1729298526)
% 0.23/0.49 ipcrm: permission denied for id (1729331295)
% 0.23/0.49 ipcrm: permission denied for id (1729396832)
% 0.23/0.50 ipcrm: permission denied for id (1729462370)
% 0.23/0.50 ipcrm: permission denied for id (1729527909)
% 0.23/0.50 ipcrm: permission denied for id (1729593447)
% 0.23/0.50 ipcrm: permission denied for id (1729691753)
% 0.23/0.51 ipcrm: permission denied for id (1729724522)
% 0.23/0.51 ipcrm: permission denied for id (1729790060)
% 0.23/0.51 ipcrm: permission denied for id (1729921136)
% 0.23/0.51 ipcrm: permission denied for id (1730150514)
% 0.23/0.52 ipcrm: permission denied for id (1731494009)
% 0.23/0.52 ipcrm: permission denied for id (1731625083)
% 0.23/0.53 ipcrm: permission denied for id (1731756158)
% 0.23/0.53 ipcrm: permission denied for id (1731887231)
% 0.80/0.98 % (25377)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2993ds/34Mi)
% 0.80/0.98 % (25375)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2993ds/78Mi)
% 0.80/0.98 % (25373)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2993ds/34Mi)
% 0.80/0.98 % (25374)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2993ds/51Mi)
% 0.80/0.98 % (25376)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2993ds/33Mi)
% 0.80/0.98 % (25378)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2993ds/45Mi)
% 0.80/0.98 % (25379)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2993ds/83Mi)
% 0.80/0.99 % (25377)Instruction limit reached!
% 0.80/0.99 % (25377)------------------------------
% 0.80/0.99 % (25377)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/0.99 % (25377)Termination reason: Unknown
% 0.80/0.99 % (25377)Termination phase: Property scanning
% 0.80/0.99
% 0.80/0.99 % (25377)Memory used [KB]: 2323
% 0.80/0.99 % (25377)Time elapsed: 0.010 s
% 0.80/0.99 % (25377)Instructions burned: 35 (million)
% 0.80/0.99 % (25377)------------------------------
% 0.80/0.99 % (25377)------------------------------
% 0.80/0.99 % (25380)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2993ds/56Mi)
% 0.80/1.00 % (25376)Instruction limit reached!
% 0.80/1.00 % (25376)------------------------------
% 0.80/1.00 % (25376)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/1.00 % (25376)Termination reason: Unknown
% 0.80/1.00 % (25376)Termination phase: Saturation
% 0.80/1.00
% 0.80/1.00 % (25376)Memory used [KB]: 1808
% 0.80/1.00 % (25376)Time elapsed: 0.021 s
% 0.80/1.00 % (25376)Instructions burned: 33 (million)
% 0.80/1.00 % (25376)------------------------------
% 0.80/1.00 % (25376)------------------------------
% 0.80/1.00 % (25373)Instruction limit reached!
% 0.80/1.00 % (25373)------------------------------
% 0.80/1.00 % (25373)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/1.00 % (25373)Termination reason: Unknown
% 0.80/1.00 % (25373)Termination phase: Saturation
% 0.80/1.00
% 0.80/1.00 % (25373)Memory used [KB]: 1901
% 0.80/1.00 % (25373)Time elapsed: 0.022 s
% 0.80/1.00 % (25373)Instructions burned: 35 (million)
% 0.80/1.00 % (25373)------------------------------
% 0.80/1.00 % (25373)------------------------------
% 0.80/1.01 % (25388)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2993ds/50Mi)
% 0.80/1.01 % (25389)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2993ds/208Mi)
% 0.80/1.01 % (25374)Instruction limit reached!
% 0.80/1.01 % (25374)------------------------------
% 0.80/1.01 % (25374)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.80/1.01 % (25374)Termination reason: Unknown
% 0.80/1.01 % (25374)Termination phase: Saturation
% 0.80/1.01
% 0.80/1.01 % (25374)Memory used [KB]: 2375
% 0.80/1.01 % (25374)Time elapsed: 0.026 s
% 0.80/1.01 % (25374)Instructions burned: 52 (million)
% 0.80/1.01 % (25374)------------------------------
% 0.80/1.01 % (25374)------------------------------
% 0.91/1.01 % (25386)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2993ds/55Mi)
% 0.91/1.01 % (25380)Instruction limit reached!
% 0.91/1.01 % (25380)------------------------------
% 0.91/1.01 % (25380)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.91/1.01 % (25380)Termination reason: Unknown
% 0.91/1.01 % (25380)Termination phase: Saturation
% 0.91/1.01
% 0.91/1.01 % (25380)Memory used [KB]: 1811
% 0.91/1.01 % (25380)Time elapsed: 0.017 s
% 0.91/1.01 % (25380)Instructions burned: 56 (million)
% 0.91/1.01 % (25380)------------------------------
% 0.91/1.01 % (25380)------------------------------
% 0.91/1.01 % (25378)Instruction limit reached!
% 0.91/1.01 % (25378)------------------------------
% 0.91/1.01 % (25378)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.91/1.01 % (25378)Termination reason: Unknown
% 0.91/1.01 % (25378)Termination phase: Saturation
% 0.91/1.01
% 0.91/1.01 % (25378)Memory used [KB]: 1859
% 0.91/1.01 % (25378)Time elapsed: 0.028 s
% 0.91/1.01 % (25378)Instructions burned: 45 (million)
% 0.91/1.01 % (25378)------------------------------
% 0.91/1.01 % (25378)------------------------------
% 0.91/1.01 % (25392)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2993ds/52Mi)
% 0.91/1.01 % (25393)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2993ds/518Mi)
% 0.91/1.01 % (25394)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2993ds/42Mi)
% 0.91/1.02 % (25375)First to succeed.
% 0.91/1.03 % (25379)Instruction limit reached!
% 0.91/1.03 % (25379)------------------------------
% 0.91/1.03 % (25379)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.91/1.03 % (25379)Termination reason: Unknown
% 0.91/1.03 % (25379)Termination phase: Saturation
% 0.91/1.03
% 0.91/1.03 % (25379)Memory used [KB]: 2904
% 0.91/1.03 % (25379)Time elapsed: 0.045 s
% 0.91/1.03 % (25379)Instructions burned: 84 (million)
% 0.91/1.03 % (25379)------------------------------
% 0.91/1.03 % (25379)------------------------------
% 0.91/1.03 % (25375)Refutation found. Thanks to Tanya!
% 0.91/1.03 % SZS status Theorem for Vampire---4
% 0.91/1.03 % SZS output start Proof for Vampire---4
% See solution above
% 0.91/1.03 % (25375)------------------------------
% 0.91/1.03 % (25375)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.91/1.03 % (25375)Termination reason: Refutation
% 0.91/1.03
% 0.91/1.03 % (25375)Memory used [KB]: 1828
% 0.91/1.03 % (25375)Time elapsed: 0.047 s
% 0.91/1.03 % (25375)Instructions burned: 86 (million)
% 0.91/1.03 % (25375)------------------------------
% 0.91/1.03 % (25375)------------------------------
% 0.91/1.03 % (25196)Success in time 0.655 s
% 0.91/1.03 % Vampire---4.8 exiting
%------------------------------------------------------------------------------