TSTP Solution File: SCT115+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SCT115+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:16:44 EDT 2022
% Result : Theorem 2.09s 0.76s
% Output : Refutation 2.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 25
% Syntax : Number of formulae : 147 ( 3 unt; 0 def)
% Number of atoms : 877 ( 371 equ)
% Maximal formula atoms : 47 ( 5 avg)
% Number of connectives : 1187 ( 457 ~; 390 |; 289 &)
% ( 13 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 15 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-4 aty)
% Number of variables : 164 ( 126 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1278,plain,
$false,
inference(avatar_sat_refutation,[],[f671,f686,f709,f802,f805,f808,f889,f903,f911,f1061,f1065,f1149,f1189,f1258,f1260,f1269]) ).
fof(f1269,plain,
( ~ spl12_28
| ~ spl12_7
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f1268,f656,f683,f924]) ).
fof(f924,plain,
( spl12_28
<=> v_x = sK9(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_28])]) ).
fof(f683,plain,
( spl12_7
<=> sP1(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f656,plain,
( spl12_1
<=> c_member(tc_prod(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_y,sK10),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f1268,plain,
( ~ sP1(sK10)
| v_x != sK9(sK10)
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f1219,f625]) ).
fof(f625,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,X0),v_L),
inference(cnf_transformation,[],[f575]) ).
fof(f575,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,X0),v_L)
& ! [X1,X2] :
( ! [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,X3),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,X3),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,X2),v_L) )
& ! [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,X5,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,X4,X5),v_L)
| X4 = X5 ) ),
inference(rectify,[],[f542]) ).
fof(f542,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)
& ! [X4,X3] :
( ! [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,X4,X3),v_L) )
& ! [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(flattening,[],[f541]) ).
fof(f541,plain,
( ! [X1,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)
| c_member(tc_prod(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)
& ! [X4,X3] :
( ! [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,X4,X3),v_L) ) ),
inference(ennf_transformation,[],[f531]) ).
fof(f531,plain,
( ! [X1,X0] :
( 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,X4,X3),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,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) ) ) ),
inference(rectify,[],[f527]) ).
fof(f527,axiom,
( ! [X35,X2] :
( 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)
| c_member(tc_prod(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) ) )
& ! [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)
& ! [X35,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,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/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f1219,plain,
( ~ sP1(sK10)
| v_x != sK9(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_y,v_y),v_L)
| ~ spl12_1 ),
inference(resolution,[],[f1190,f612]) ).
fof(f612,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_y),v_L)
| ~ sP1(X0)
| v_x != sK9(X0) ),
inference(cnf_transformation,[],[f570]) ).
fof(f570,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_y),v_L)
& v_x = sK9(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,sK9(X0)),v_L)
& v_y != sK9(X0)
& v_x != sK9(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_y,sK9(X0)),v_L) )
| ~ sP1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f568,f569]) ).
fof(f569,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_y),v_L)
& v_x = 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)
& v_y != X1
& v_x != 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_y,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,X0,v_y),v_L)
& v_x = sK9(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,sK9(X0)),v_L)
& v_y != sK9(X0)
& v_x != sK9(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_y,sK9(X0)),v_L) ) ) ),
introduced(choice_axiom,[]) ).
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,X0,v_y),v_L)
& v_x = 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)
& v_y != X1
& v_x != 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_y,X1),v_L) ) )
| ~ sP1(X0) ),
inference(rectify,[],[f567]) ).
fof(f567,plain,
! [X0] :
( ? [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,X0,v_y),v_L)
& v_x = 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,X0,X4),v_L)
& v_y != X4
& v_x != 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_y,X4),v_L) ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f550]) ).
fof(f550,plain,
! [X0] :
( ? [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,X0,v_y),v_L)
& v_x = 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,X0,X4),v_L)
& v_y != X4
& v_x != 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_y,X4),v_L) ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1190,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,sK10,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,v_y,X0),v_L) )
| ~ spl12_1 ),
inference(resolution,[],[f658,f624]) ).
fof(f624,plain,
! [X2,X3,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,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,X3),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,X3),v_L) ),
inference(cnf_transformation,[],[f575]) ).
fof(f658,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_y,sK10),v_L)
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f656]) ).
fof(f1260,plain,
( ~ spl12_7
| spl12_28
| ~ spl12_1 ),
inference(avatar_split_clause,[],[f1259,f656,f924,f683]) ).
fof(f1259,plain,
( v_x = sK9(sK10)
| ~ sP1(sK10)
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f1210,f607]) ).
fof(f607,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,v_y,sK9(X0)),v_L)
| ~ sP1(X0)
| v_x = sK9(X0) ),
inference(cnf_transformation,[],[f570]) ).
fof(f1210,plain,
( ~ sP1(sK10)
| v_x = sK9(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_y,sK9(sK10)),v_L)
| ~ spl12_1 ),
inference(resolution,[],[f1190,f610]) ).
fof(f610,plain,
! [X0] :
( ~ sP1(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,sK9(X0)),v_L)
| v_x = sK9(X0) ),
inference(cnf_transformation,[],[f570]) ).
fof(f1258,plain,
( ~ spl12_2
| ~ spl12_8 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1257,plain,
( $false
| ~ spl12_2
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f1251,f1197]) ).
fof(f1197,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)
| ~ spl12_8 ),
inference(resolution,[],[f694,f616]) ).
fof(f616,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,X1,X0),v_L) ),
inference(cnf_transformation,[],[f572]) ).
fof(f572,plain,
! [X0,X1,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,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,X2,X0),v_L) )
| ~ sP0(X0,X1,X2) ),
inference(rectify,[],[f571]) ).
fof(f571,plain,
! [X2,X0,X1] :
( ( 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,X0,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,X1,X2),v_L) )
| ~ sP0(X2,X0,X1) ),
inference(nnf_transformation,[],[f549]) ).
fof(f549,plain,
! [X2,X0,X1] :
( ( 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,X0,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,X1,X2),v_L) )
| ~ sP0(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f694,plain,
( sP0(sK8(sK11,sK10),sK10,sK11)
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f692,plain,
( spl12_8
<=> sP0(sK8(sK11,sK10),sK10,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f1251,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)
| ~ spl12_2
| ~ spl12_8 ),
inference(resolution,[],[f1196,f1108]) ).
fof(f1108,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,sK11,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,sK10,X0),v_L) )
| ~ spl12_2 ),
inference(resolution,[],[f662,f813]) ).
fof(f813,plain,
! [X10,X11,X12] :
( ~ sP2(X12,X10)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X10,X11),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,X12,X11),v_L) ),
inference(resolution,[],[f624,f601]) ).
fof(f601,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(cnf_transformation,[],[f566]) ).
fof(f566,plain,
! [X0,X1] :
( ( v_x != X0
& v_x != 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_y),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,v_y),v_L)
& v_x = sK8(X0,X1) )
| sP0(sK8(X0,X1),X1,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) )
| ~ sP2(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f564,f565]) ).
fof(f565,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,X1,v_y),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,v_y),v_L)
& v_x = X2 )
| sP0(X2,X1,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_y),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,v_y),v_L)
& v_x = sK8(X0,X1) )
| sP0(sK8(X0,X1),X1,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f564,plain,
! [X0,X1] :
( ( v_x != X0
& v_x != 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_y),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,v_y),v_L)
& v_x = X2 )
| sP0(X2,X1,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) )
| ~ sP2(X0,X1) ),
inference(rectify,[],[f563]) ).
fof(f563,plain,
! [X1,X0] :
( ( v_x != X1
& v_x != 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_y),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,v_y),v_L)
& v_x = X2 )
| sP0(X2,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(X1,X0) ),
inference(nnf_transformation,[],[f551]) ).
fof(f551,plain,
! [X1,X0] :
( ( v_x != X1
& v_x != 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_y),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,v_y),v_L)
& v_x = X2 )
| sP0(X2,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(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f662,plain,
( sP2(sK11,sK10)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f660,plain,
( spl12_2
<=> sP2(sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f1196,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,sK8(sK11,sK10)),v_L)
| ~ spl12_8 ),
inference(resolution,[],[f694,f615]) ).
fof(f615,plain,
! [X2,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,X2,X0),v_L)
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f572]) ).
fof(f1189,plain,
( spl12_8
| ~ spl12_2
| spl12_10 ),
inference(avatar_split_clause,[],[f1159,f701,f660,f692]) ).
fof(f701,plain,
( spl12_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,sK10,v_y),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f1159,plain,
( sP0(sK8(sK11,sK10),sK10,sK11)
| ~ spl12_2
| spl12_10 ),
inference(subsumption_resolution,[],[f1112,f702]) ).
fof(f702,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_y),v_L)
| spl12_10 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f1112,plain,
( sP0(sK8(sK11,sK10),sK10,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,sK10,v_y),v_L)
| ~ spl12_2 ),
inference(resolution,[],[f662,f604]) ).
fof(f604,plain,
! [X0,X1] :
( sP0(sK8(X0,X1),X1,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_y),v_L)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f566]) ).
fof(f1149,plain,
( ~ spl12_2
| spl12_9
| ~ spl12_10 ),
inference(avatar_contradiction_clause,[],[f1148]) ).
fof(f1148,plain,
( $false
| ~ spl12_2
| spl12_9
| ~ spl12_10 ),
inference(subsumption_resolution,[],[f1142,f703]) ).
fof(f703,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_y),v_L)
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f1142,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_y),v_L)
| ~ spl12_2
| spl12_9 ),
inference(resolution,[],[f1108,f698]) ).
fof(f698,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_y),v_L)
| spl12_9 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl12_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,sK11,v_y),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f1065,plain,
( ~ spl12_4
| ~ spl12_6
| spl12_9 ),
inference(avatar_contradiction_clause,[],[f1064]) ).
fof(f1064,plain,
( $false
| ~ spl12_4
| ~ spl12_6
| spl12_9 ),
inference(subsumption_resolution,[],[f947,f698]) ).
fof(f947,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_y),v_L)
| ~ spl12_4
| ~ spl12_6 ),
inference(resolution,[],[f939,f595]) ).
fof(f595,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_y),v_L)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f562]) ).
fof(f562,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_y,sK7(X0)),v_L)
& v_x != sK7(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,sK7(X0)),v_L)
& v_x != X0
& v_x = 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_y),v_L) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f560,f561]) ).
fof(f561,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,v_y,X2),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,X0,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,v_y,sK7(X0)),v_L)
& v_x != sK7(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,sK7(X0)),v_L) ) ),
introduced(choice_axiom,[]) ).
fof(f560,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,v_y,X2),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,X0,X2),v_L) )
& v_x != X0
& v_x = 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_y),v_L) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f559]) ).
fof(f559,plain,
! [X1,X0] :
( ( ? [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_y,X3),v_L)
& 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,X1,X3),v_L) )
& v_x != X1
& 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_y),v_L) )
| ~ sP3(X1,X0) ),
inference(nnf_transformation,[],[f552]) ).
fof(f552,plain,
! [X1,X0] :
( ( ? [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_y,X3),v_L)
& 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,X1,X3),v_L) )
& v_x != X1
& 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_y),v_L) )
| ~ sP3(X1,X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f939,plain,
( sP3(sK11,v_x)
| ~ spl12_4
| ~ spl12_6 ),
inference(forward_demodulation,[],[f670,f679]) ).
fof(f679,plain,
( v_x = sK10
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f678,plain,
( spl12_6
<=> v_x = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f670,plain,
( sP3(sK11,sK10)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl12_4
<=> sP3(sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f1061,plain,
( ~ spl12_4
| ~ spl12_6
| ~ spl12_9 ),
inference(avatar_contradiction_clause,[],[f1060]) ).
fof(f1060,plain,
( $false
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9 ),
inference(subsumption_resolution,[],[f1054,f950]) ).
fof(f950,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_y,sK7(sK11)),v_L)
| ~ spl12_4
| ~ spl12_6 ),
inference(resolution,[],[f939,f600]) ).
fof(f600,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_y,sK7(X0)),v_L) ),
inference(cnf_transformation,[],[f562]) ).
fof(f1054,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_y,sK7(sK11)),v_L)
| ~ spl12_4
| ~ spl12_6
| ~ spl12_9 ),
inference(resolution,[],[f974,f949]) ).
fof(f949,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,sK7(sK11)),v_L)
| ~ spl12_4
| ~ spl12_6 ),
inference(resolution,[],[f939,f598]) ).
fof(f598,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,X0,sK7(X0)),v_L) ),
inference(cnf_transformation,[],[f562]) ).
fof(f974,plain,
( ! [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,sK11,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,v_y,X1),v_L) )
| ~ spl12_9 ),
inference(resolution,[],[f697,f624]) ).
fof(f697,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_y),v_L)
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f911,plain,
( spl12_6
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f906,f668,f678]) ).
fof(f906,plain,
( v_x = sK10
| ~ spl12_4 ),
inference(resolution,[],[f670,f596]) ).
fof(f596,plain,
! [X0,X1] :
( v_x = X1
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f562]) ).
fof(f903,plain,
( ~ spl12_3
| ~ spl12_16
| ~ spl12_17 ),
inference(avatar_contradiction_clause,[],[f902]) ).
fof(f902,plain,
( $false
| ~ spl12_3
| ~ spl12_16
| ~ spl12_17 ),
inference(subsumption_resolution,[],[f901,f768]) ).
fof(f768,plain,
( v_x = sK6
| ~ spl12_16 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f766,plain,
( spl12_16
<=> v_x = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_16])]) ).
fof(f901,plain,
( v_x != sK6
| ~ spl12_3
| ~ spl12_17 ),
inference(forward_demodulation,[],[f890,f772]) ).
fof(f772,plain,
( v_x = sK5
| ~ spl12_17 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f770,plain,
( spl12_17
<=> v_x = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_17])]) ).
fof(f890,plain,
( sK6 != sK5
| ~ spl12_3 ),
inference(resolution,[],[f666,f586]) ).
fof(f586,plain,
( ~ sP4
| sK6 != sK5 ),
inference(cnf_transformation,[],[f558]) ).
fof(f558,plain,
( ( ( v_x = sK5
| v_x != 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_y,sK5),v_L) )
& ( v_x != sK6
| v_y != sK5 )
& ( v_x = sK6
| v_x != sK5
| ~ c_member(tc_prod(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_y,sK6),v_L) )
& ( v_x != sK5
| v_y != sK6 )
& ( v_x = 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,sK5),v_L)
| v_x = sK5 )
& ( ~ c_member(tc_prod(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_y),v_L)
| v_x = sK6
| v_x != sK5 )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK5,v_y),v_L)
| v_x != sK6
| v_x = sK5 )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK5,sK6),v_L)
| v_x = sK5
| v_x = sK6 )
& sK6 != sK5 )
| ~ sP4 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6])],[f556,f557]) ).
fof(f557,plain,
( ? [X0,X1] :
( ( v_x = X0
| v_x != 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_y,X0),v_L) )
& ( v_x != X1
| v_y != X0 )
& ( v_x = X1
| 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,v_y,X1),v_L) )
& ( v_x != X0
| v_y != X1 )
& ( v_x = 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_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_y),v_L)
| v_x = X1
| 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_y),v_L)
| v_x != X1
| 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,X1),v_L)
| v_x = X0
| v_x = X1 )
& X0 != X1 )
=> ( ( v_x = sK5
| v_x != 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_y,sK5),v_L) )
& ( v_x != sK6
| v_y != sK5 )
& ( v_x = sK6
| v_x != sK5
| ~ c_member(tc_prod(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_y,sK6),v_L) )
& ( v_x != sK5
| v_y != sK6 )
& ( v_x = 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,sK5),v_L)
| v_x = sK5 )
& ( ~ c_member(tc_prod(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_y),v_L)
| v_x = sK6
| v_x != sK5 )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK5,v_y),v_L)
| v_x != sK6
| v_x = sK5 )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK5,sK6),v_L)
| v_x = sK5
| v_x = sK6 )
& sK6 != sK5 ) ),
introduced(choice_axiom,[]) ).
fof(f556,plain,
( ? [X0,X1] :
( ( v_x = X0
| v_x != 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_y,X0),v_L) )
& ( v_x != X1
| v_y != X0 )
& ( v_x = X1
| 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,v_y,X1),v_L) )
& ( v_x != X0
| v_y != X1 )
& ( v_x = 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_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_y),v_L)
| v_x = X1
| 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_y),v_L)
| v_x != X1
| 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,X1),v_L)
| v_x = X0
| v_x = X1 )
& X0 != X1 )
| ~ sP4 ),
inference(rectify,[],[f555]) ).
fof(f555,plain,
( ? [X6,X5] :
( ( v_x = X6
| v_x != 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_y,X6),v_L) )
& ( v_x != X5
| v_y != X6 )
& ( v_x = X5
| v_x != 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,v_y,X5),v_L) )
& ( v_x != X6
| v_y != X5 )
& ( v_x = 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,X5,X6),v_L)
| v_x = 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,X5,v_y),v_L)
| v_x = X5
| v_x != 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,X6,v_y),v_L)
| v_x != X5
| v_x = 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,X6,X5),v_L)
| v_x = X6
| v_x = X5 )
& X5 != X6 )
| ~ sP4 ),
inference(nnf_transformation,[],[f553]) ).
fof(f553,plain,
( ? [X6,X5] :
( ( v_x = X6
| v_x != 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_y,X6),v_L) )
& ( v_x != X5
| v_y != X6 )
& ( v_x = X5
| v_x != 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,v_y,X5),v_L) )
& ( v_x != X6
| v_y != X5 )
& ( v_x = 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,X5,X6),v_L)
| v_x = 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,X5,v_y),v_L)
| v_x = X5
| v_x != 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,X6,v_y),v_L)
| v_x != X5
| v_x = 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,X6,X5),v_L)
| v_x = X6
| v_x = X5 )
& X5 != X6 )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f666,plain,
( sP4
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f664,plain,
( spl12_3
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f889,plain,
( ~ spl12_2
| ~ spl12_9
| ~ spl12_11 ),
inference(avatar_split_clause,[],[f888,f706,f696,f660]) ).
fof(f706,plain,
( spl12_11
<=> v_x = sK8(sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f888,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_y),v_L)
| ~ sP2(sK11,sK10)
| ~ spl12_11 ),
inference(subsumption_resolution,[],[f841,f643]) ).
fof(f643,plain,
! [X2,X1] : ~ sP0(v_x,X1,X2),
inference(equality_resolution,[],[f617]) ).
fof(f617,plain,
! [X2,X0,X1] :
( v_x != X0
| ~ sP0(X0,X1,X2) ),
inference(cnf_transformation,[],[f572]) ).
fof(f841,plain,
( ~ sP2(sK11,sK10)
| sP0(v_x,sK10,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_y),v_L)
| ~ spl12_11 ),
inference(superposition,[],[f603,f708]) ).
fof(f708,plain,
( v_x = sK8(sK11,sK10)
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f603,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_y),v_L)
| ~ sP2(X0,X1)
| sP0(sK8(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f566]) ).
fof(f808,plain,
( ~ spl12_3
| spl12_16
| spl12_17 ),
inference(avatar_split_clause,[],[f807,f770,f766,f664]) ).
fof(f807,plain,
( v_x = sK5
| v_x = sK6
| ~ sP4 ),
inference(subsumption_resolution,[],[f806,f590]) ).
fof(f590,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,sK5),v_L)
| v_x = sK5
| ~ sP4
| v_x = sK6 ),
inference(cnf_transformation,[],[f558]) ).
fof(f806,plain,
( ~ sP4
| c_member(tc_prod(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,sK5),v_L)
| v_x = sK6
| v_x = sK5 ),
inference(subsumption_resolution,[],[f758,f586]) ).
fof(f758,plain,
( v_x = sK6
| ~ sP4
| v_x = sK5
| sK6 = sK5
| c_member(tc_prod(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,sK5),v_L) ),
inference(resolution,[],[f623,f587]) ).
fof(f587,plain,
( ~ sP4
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK5,sK6),v_L)
| v_x = sK5
| v_x = sK6 ),
inference(cnf_transformation,[],[f558]) ).
fof(f623,plain,
! [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,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,X5,X4),v_L)
| X4 = X5 ),
inference(cnf_transformation,[],[f575]) ).
fof(f805,plain,
( ~ spl12_3
| spl12_17
| ~ spl12_16 ),
inference(avatar_split_clause,[],[f804,f766,f770,f664]) ).
fof(f804,plain,
( v_x != sK6
| v_x = sK5
| ~ sP4 ),
inference(subsumption_resolution,[],[f803,f594]) ).
fof(f594,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_y,sK5),v_L)
| ~ sP4
| v_x = sK5
| v_x != sK6 ),
inference(cnf_transformation,[],[f558]) ).
fof(f803,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_y,sK5),v_L)
| v_x != sK6
| ~ sP4
| v_x = sK5 ),
inference(subsumption_resolution,[],[f747,f593]) ).
fof(f593,plain,
( v_x != sK6
| v_y != sK5
| ~ sP4 ),
inference(cnf_transformation,[],[f558]) ).
fof(f747,plain,
( v_y = sK5
| c_member(tc_prod(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_y,sK5),v_L)
| ~ sP4
| v_x = sK5
| v_x != sK6 ),
inference(resolution,[],[f623,f588]) ).
fof(f588,plain,
( v_x = sK5
| v_x != sK6
| ~ sP4
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK5,v_y),v_L) ),
inference(cnf_transformation,[],[f558]) ).
fof(f802,plain,
( ~ spl12_3
| spl12_16
| ~ spl12_17 ),
inference(avatar_split_clause,[],[f801,f770,f766,f664]) ).
fof(f801,plain,
( v_x != sK5
| v_x = sK6
| ~ sP4 ),
inference(subsumption_resolution,[],[f800,f589]) ).
fof(f589,plain,
( ~ sP4
| ~ c_member(tc_prod(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_y),v_L)
| v_x = sK6
| v_x != sK5 ),
inference(cnf_transformation,[],[f558]) ).
fof(f800,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_y),v_L)
| v_x = sK6
| ~ sP4
| v_x != sK5 ),
inference(subsumption_resolution,[],[f745,f591]) ).
fof(f591,plain,
( ~ sP4
| v_x != sK5
| v_y != sK6 ),
inference(cnf_transformation,[],[f558]) ).
fof(f745,plain,
( v_x = sK6
| v_y = sK6
| v_x != sK5
| c_member(tc_prod(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_y),v_L)
| ~ sP4 ),
inference(resolution,[],[f623,f592]) ).
fof(f592,plain,
( v_x != sK5
| v_x = sK6
| ~ sP4
| ~ c_member(tc_prod(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_y,sK6),v_L) ),
inference(cnf_transformation,[],[f558]) ).
fof(f709,plain,
( spl12_11
| spl12_8
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f688,f660,f692,f706]) ).
fof(f688,plain,
( sP0(sK8(sK11,sK10),sK10,sK11)
| v_x = sK8(sK11,sK10)
| ~ spl12_2 ),
inference(resolution,[],[f662,f602]) ).
fof(f602,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| v_x = sK8(X0,X1)
| sP0(sK8(X0,X1),X1,X0) ),
inference(cnf_transformation,[],[f566]) ).
fof(f686,plain,
( spl12_4
| spl12_7
| spl12_3
| spl12_2 ),
inference(avatar_split_clause,[],[f619,f660,f664,f683,f668]) ).
fof(f619,plain,
( sP2(sK11,sK10)
| sP4
| sP1(sK10)
| sP3(sK11,sK10) ),
inference(cnf_transformation,[],[f574]) ).
fof(f574,plain,
( sP4
| 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_y,sK10),v_L)
& v_x = sK11
& sP1(sK10)
& v_x != sK10 )
| sP2(sK11,sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11])],[f554,f573]) ).
fof(f573,plain,
( ? [X0,X1] :
( sP3(X1,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_y,X0),v_L)
& v_x = X1
& sP1(X0)
& v_x != X0 )
| sP2(X1,X0) )
=> ( 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_y,sK10),v_L)
& v_x = sK11
& sP1(sK10)
& v_x != sK10 )
| sP2(sK11,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f554,plain,
( sP4
| ? [X0,X1] :
( sP3(X1,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_y,X0),v_L)
& v_x = X1
& sP1(X0)
& v_x != X0 )
| sP2(X1,X0) ) ),
inference(definition_folding,[],[f548,f553,f552,f551,f550,f549]) ).
fof(f548,plain,
( ? [X6,X5] :
( ( v_x = X6
| v_x != 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_y,X6),v_L) )
& ( v_x != X5
| v_y != X6 )
& ( v_x = X5
| v_x != 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,v_y,X5),v_L) )
& ( v_x != X6
| v_y != X5 )
& ( v_x = 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,X5,X6),v_L)
| v_x = 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,X5,v_y),v_L)
| v_x = X5
| v_x != 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,X6,v_y),v_L)
| v_x != X5
| v_x = 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,X6,X5),v_L)
| v_x = X6
| v_x = X5 )
& X5 != X6 )
| ? [X0,X1] :
( ( ? [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_y,X3),v_L)
& 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,X1,X3),v_L) )
& v_x != X1
& 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_y),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_y,X0),v_L)
& v_x = X1
& ? [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,X0,v_y),v_L)
& v_x = 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,X0,X4),v_L)
& v_y != X4
& v_x != 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_y,X4),v_L) ) )
& v_x != X0 )
| ( v_x != X1
& v_x != 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_y),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,v_y),v_L)
& v_x = X2 )
| ( 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,X0,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,X1,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,X1,X0),v_L) ) ) ),
inference(flattening,[],[f547]) ).
fof(f547,plain,
( ? [X1,X0] :
( ( ? [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_y,X4),v_L)
& v_y != X4
& v_x != 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,X0,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,X0,v_y),v_L)
& v_x = X4 ) )
& 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,v_y,X0),v_L)
& v_x = X1 )
| ( ? [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,X1,X3),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_y,X3),v_L)
& v_x != X3 )
& 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_y),v_L)
& v_x != 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,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,X0,X2),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,X1,v_y),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,X0,v_y),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)
& v_x != X1
& v_x != X0 ) )
| ? [X6,X5] :
( ( v_x = X6
| v_x != 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_y,X6),v_L) )
& ( v_x = 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,X5,X6),v_L)
| v_x = 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,X6,X5),v_L)
| v_x = X6
| v_x = 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,X6,v_y),v_L)
| v_x != X5
| v_x = X6 )
& ( v_x != X6
| v_y != X5 )
& ( v_x != X5
| v_y != X6 )
& ( v_x = X5
| v_x != 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,v_y,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,X5,v_y),v_L)
| v_x = X5
| v_x != X6 )
& X5 != X6 ) ),
inference(ennf_transformation,[],[f530]) ).
fof(f530,plain,
~ ( ! [X1,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,v_y,X0),v_L)
& v_x = X1 )
=> ! [X4] :
( ( ( v_x != 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,X0,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_y,X4),v_L)
| v_y = X4 ) )
& ( v_x = 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,X0,v_y),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_y),v_L)
& v_x != X1 )
=> ! [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_y,X3),v_L)
& 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,X1,X3),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)
& v_x != X1
& v_x != 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_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,X1,X2),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,X0,v_y),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,v_y),v_L) ) ) ) )
& ! [X6,X5] :
( X5 != 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,v_y,X6),v_L)
& v_x = X5
& v_x != X6 )
| ( v_x != 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,X5,X6),v_L)
& v_x != X6 )
| ( v_x != X5
& v_x != 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,X6,X5),v_L) )
| ( v_x != 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,X6,v_y),v_L)
& v_x = X5 )
| ( v_x = X6
& v_y = X5 )
| ( v_x = X5
& v_y = X6 )
| ( v_x = 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,v_y,X5),v_L)
& v_x != X5 )
| ( v_x = 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,X5,v_y),v_L)
& v_x != X5 ) ) ) ),
inference(rectify,[],[f529]) ).
fof(f529,negated_conjecture,
~ ( ! [X35,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_x != X35
& v_x != X2 )
=> ! [X34] :
( ( ( v_x != 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_x = 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_y),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_y),v_L) ) ) )
& ( ( v_x != X2
& 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_y),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,v_y,X34),v_L)
& v_x != 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,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_y,X35),v_L)
& v_x = X2
& v_x != X35 )
=> ! [X34] :
( ( v_x = 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_y),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,X35,X34),v_L)
& v_x != 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_y,X34),v_L)
| v_y = X34 ) ) ) ) )
& ! [X2,X35] :
( X2 != X35
=> ( ( v_x = X35
& v_y = X2 )
| ( 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,X35,X2),v_L)
& v_x != X35 )
| ( 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,X2,v_y),v_L)
& v_x = X35 )
| ( 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,X35,v_y),v_L)
& v_x = X2 )
| ( 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,v_y,X35),v_L)
& 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,v_y,X2),v_L)
& v_x != X2
& v_x = X35 )
| ( 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,X35),v_L)
& v_x != X2 )
| ( v_y = X35
& v_x = X2 ) ) ) ),
inference(negated_conjecture,[],[f528]) ).
fof(f528,conjecture,
( ! [X35,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_x != X35
& v_x != X2 )
=> ! [X34] :
( ( ( v_x != 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_x = 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_y),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_y),v_L) ) ) )
& ( ( v_x != X2
& 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_y),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,v_y,X34),v_L)
& v_x != 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,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_y,X35),v_L)
& v_x = X2
& v_x != X35 )
=> ! [X34] :
( ( v_x = 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_y),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,X35,X34),v_L)
& v_x != 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_y,X34),v_L)
| v_y = X34 ) ) ) ) )
& ! [X2,X35] :
( X2 != X35
=> ( ( v_x = X35
& v_y = X2 )
| ( 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,X35,X2),v_L)
& v_x != X35 )
| ( 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,X2,v_y),v_L)
& v_x = X35 )
| ( 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,X35,v_y),v_L)
& v_x = X2 )
| ( 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,v_y,X35),v_L)
& 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,v_y,X2),v_L)
& v_x != X2
& v_x = X35 )
| ( 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,X35),v_L)
& v_x != X2 )
| ( v_y = X35
& v_x = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f671,plain,
( spl12_1
| spl12_2
| spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f621,f668,f664,f660,f656]) ).
fof(f621,plain,
( sP3(sK11,sK10)
| sP4
| sP2(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_y,sK10),v_L) ),
inference(cnf_transformation,[],[f574]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SCT115+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 12:40:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (7110)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (7129)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51 % (7121)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.52 % (7112)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.19/0.52 % (7121)Instruction limit reached!
% 0.19/0.52 % (7121)------------------------------
% 0.19/0.52 % (7121)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (7121)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (7121)Termination reason: Unknown
% 0.19/0.52 % (7121)Termination phase: Preprocessing 1
% 0.19/0.52
% 0.19/0.52 % (7121)Memory used [KB]: 2046
% 0.19/0.52 % (7121)Time elapsed: 0.005 s
% 0.19/0.52 % (7121)Instructions burned: 3 (million)
% 0.19/0.52 % (7121)------------------------------
% 0.19/0.52 % (7121)------------------------------
% 0.19/0.53 % (7127)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.19/0.53 % (7119)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.19/0.53 % (7112)Instruction limit reached!
% 0.19/0.53 % (7112)------------------------------
% 0.19/0.53 % (7112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (7112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (7112)Termination reason: Unknown
% 0.19/0.53 % (7112)Termination phase: Preprocessing 3
% 0.19/0.53
% 0.19/0.53 % (7112)Memory used [KB]: 2814
% 0.19/0.53 % (7112)Time elapsed: 0.015 s
% 0.19/0.53 % (7112)Instructions burned: 15 (million)
% 0.19/0.53 % (7112)------------------------------
% 0.19/0.53 % (7112)------------------------------
% 0.19/0.54 % (7115)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.54 % (7116)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.19/0.54 % (7109)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.54 % (7114)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.54 % (7113)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.55 % (7119)Instruction limit reached!
% 0.19/0.55 % (7119)------------------------------
% 0.19/0.55 % (7119)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (7137)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.19/0.55 % (7133)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.19/0.56 % (7134)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 % (7111)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.56 % (7135)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.56 % (7108)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.19/0.56 % (7109)Instruction limit reached!
% 0.19/0.56 % (7109)------------------------------
% 0.19/0.56 % (7109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (7109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (7109)Termination reason: Unknown
% 0.19/0.56 % (7109)Termination phase: Preprocessing 1
% 0.19/0.56
% 0.19/0.56 % (7109)Memory used [KB]: 2174
% 0.19/0.56 % (7109)Time elapsed: 0.005 s
% 0.19/0.56 % (7109)Instructions burned: 5 (million)
% 0.19/0.56 % (7109)------------------------------
% 0.19/0.56 % (7109)------------------------------
% 0.19/0.56 % (7119)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (7119)Termination reason: Unknown
% 0.19/0.56 % (7119)Termination phase: Preprocessing 3
% 0.19/0.56
% 0.19/0.56 % (7119)Memory used [KB]: 2814
% 0.19/0.56 % (7119)Time elapsed: 0.011 s
% 0.19/0.56 % (7119)Instructions burned: 16 (million)
% 0.19/0.56 % (7119)------------------------------
% 0.19/0.56 % (7119)------------------------------
% 0.19/0.56 % (7111)Instruction limit reached!
% 0.19/0.56 % (7111)------------------------------
% 0.19/0.56 % (7111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (7111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (7111)Termination reason: Unknown
% 0.19/0.56 % (7111)Termination phase: Property scanning
% 0.19/0.56
% 0.19/0.56 % (7111)Memory used [KB]: 3582
% 0.19/0.56 % (7111)Time elapsed: 0.008 s
% 0.19/0.56 % (7111)Instructions burned: 14 (million)
% 0.19/0.56 % (7111)------------------------------
% 0.19/0.56 % (7111)------------------------------
% 0.19/0.56 % (7126)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.44/0.56 % (7128)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.57 % (7124)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.57 % (7125)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.44/0.57 % (7107)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.44/0.57 % (7124)Instruction limit reached!
% 1.44/0.57 % (7124)------------------------------
% 1.44/0.57 % (7124)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (7124)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (7124)Termination reason: Unknown
% 1.44/0.57 % (7124)Termination phase: Preprocessing 1
% 1.44/0.57
% 1.44/0.57 % (7124)Memory used [KB]: 2174
% 1.44/0.57 % (7124)Time elapsed: 0.004 s
% 1.44/0.57 % (7124)Instructions burned: 4 (million)
% 1.44/0.57 % (7124)------------------------------
% 1.44/0.57 % (7124)------------------------------
% 1.44/0.57 % (7125)Instruction limit reached!
% 1.44/0.57 % (7125)------------------------------
% 1.44/0.57 % (7125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (7125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (7125)Termination reason: Unknown
% 1.44/0.57 % (7125)Termination phase: SInE selection
% 1.44/0.57
% 1.44/0.57 % (7125)Memory used [KB]: 1918
% 1.44/0.57 % (7125)Time elapsed: 0.004 s
% 1.44/0.57 % (7125)Instructions burned: 3 (million)
% 1.44/0.57 % (7125)------------------------------
% 1.44/0.57 % (7125)------------------------------
% 1.44/0.57 % (7130)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.44/0.57 % (7118)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.57 % (7136)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.44/0.57 % (7117)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.44/0.57 % (7120)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.57 % (7118)Instruction limit reached!
% 1.44/0.57 % (7118)------------------------------
% 1.44/0.57 % (7118)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (7136)Instruction limit reached!
% 1.44/0.57 % (7136)------------------------------
% 1.44/0.57 % (7136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (7136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (7136)Termination reason: Unknown
% 1.44/0.57 % (7136)Termination phase: shuffling
% 1.44/0.57
% 1.44/0.57 % (7136)Memory used [KB]: 2430
% 1.44/0.57 % (7136)Time elapsed: 0.005 s
% 1.44/0.57 % (7136)Instructions burned: 8 (million)
% 1.44/0.57 % (7136)------------------------------
% 1.44/0.57 % (7136)------------------------------
% 1.44/0.57 % (7110)Instruction limit reached!
% 1.44/0.57 % (7110)------------------------------
% 1.44/0.57 % (7110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (7117)Instruction limit reached!
% 1.44/0.57 % (7117)------------------------------
% 1.44/0.57 % (7117)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (7117)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (7117)Termination reason: Unknown
% 1.44/0.58 % (7117)Termination phase: Naming
% 1.44/0.58
% 1.44/0.58 % (7117)Memory used [KB]: 2814
% 1.44/0.58 % (7117)Time elapsed: 0.008 s
% 1.44/0.58 % (7117)Instructions burned: 13 (million)
% 1.44/0.58 % (7117)------------------------------
% 1.44/0.58 % (7117)------------------------------
% 1.44/0.58 % (7123)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.58 % (7127)Instruction limit reached!
% 1.44/0.58 % (7127)------------------------------
% 1.44/0.58 % (7127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58 % (7122)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.62/0.58 % (7127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (7127)Termination reason: Unknown
% 1.62/0.58 % (7127)Termination phase: Property scanning
% 1.62/0.58
% 1.62/0.58 % (7127)Memory used [KB]: 3198
% 1.62/0.58 % (7127)Time elapsed: 0.020 s
% 1.62/0.58 % (7127)Instructions burned: 33 (million)
% 1.62/0.58 % (7127)------------------------------
% 1.62/0.58 % (7127)------------------------------
% 1.62/0.58 % (7108)Instruction limit reached!
% 1.62/0.58 % (7108)------------------------------
% 1.62/0.58 % (7108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (7129)Instruction limit reached!
% 1.62/0.58 % (7129)------------------------------
% 1.62/0.58 % (7129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (7110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (7110)Termination reason: Unknown
% 1.62/0.58 % (7110)Termination phase: Saturation
% 1.62/0.58
% 1.62/0.58 % (7110)Memory used [KB]: 7419
% 1.62/0.58 % (7110)Time elapsed: 0.126 s
% 1.62/0.58 % (7110)Instructions burned: 51 (million)
% 1.62/0.58 % (7110)------------------------------
% 1.62/0.58 % (7110)------------------------------
% 1.62/0.59 % (7118)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (7118)Termination reason: Unknown
% 1.62/0.59 % (7118)Termination phase: Preprocessing 1
% 1.62/0.59
% 1.62/0.59 % (7118)Memory used [KB]: 2302
% 1.62/0.59 % (7118)Time elapsed: 0.005 s
% 1.62/0.59 % (7118)Instructions burned: 9 (million)
% 1.62/0.59 % (7118)------------------------------
% 1.62/0.59 % (7118)------------------------------
% 1.62/0.59 % (7126)Instruction limit reached!
% 1.62/0.59 % (7126)------------------------------
% 1.62/0.59 % (7126)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.59 % (7126)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (7126)Termination reason: Unknown
% 1.62/0.59 % (7126)Termination phase: Preprocessing 3
% 1.62/0.59
% 1.62/0.59 % (7126)Memory used [KB]: 2302
% 1.62/0.59 % (7126)Time elapsed: 0.007 s
% 1.62/0.59 % (7126)Instructions burned: 11 (million)
% 1.62/0.59 % (7126)------------------------------
% 1.62/0.59 % (7126)------------------------------
% 1.62/0.59 % (7108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.59 % (7108)Termination reason: Unknown
% 1.62/0.59 % (7108)Termination phase: Saturation
% 1.62/0.59
% 1.62/0.59 % (7108)Memory used [KB]: 6780
% 1.62/0.59 % (7108)Time elapsed: 0.147 s
% 1.62/0.59 % (7108)Instructions burned: 14 (million)
% 1.62/0.59 % (7108)------------------------------
% 1.62/0.59 % (7108)------------------------------
% 1.62/0.59 % (7132)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.62/0.60 % (7129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.60 % (7129)Termination reason: Unknown
% 1.62/0.60 % (7129)Termination phase: Property scanning
% 1.62/0.60
% 1.62/0.60 % (7129)Memory used [KB]: 4989
% 1.62/0.60 % (7129)Time elapsed: 0.055 s
% 1.62/0.60 % (7129)Instructions burned: 83 (million)
% 1.62/0.60 % (7129)------------------------------
% 1.62/0.60 % (7129)------------------------------
% 1.62/0.60 % (7116)Instruction limit reached!
% 1.62/0.60 % (7116)------------------------------
% 1.62/0.60 % (7116)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.60 % (7116)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.60 % (7116)Termination reason: Unknown
% 1.62/0.60 % (7116)Termination phase: Function definition elimination
% 1.62/0.60
% 1.62/0.60 % (7116)Memory used [KB]: 3198
% 1.62/0.60 % (7116)Time elapsed: 0.018 s
% 1.62/0.60 % (7116)Instructions burned: 34 (million)
% 1.62/0.60 % (7116)------------------------------
% 1.62/0.60 % (7116)------------------------------
% 1.62/0.60 % (7122)Instruction limit reached!
% 1.62/0.60 % (7122)------------------------------
% 1.62/0.60 % (7122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.60 % (7122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.60 % (7122)Termination reason: Unknown
% 1.62/0.60 % (7122)Termination phase: Preprocessing 1
% 1.62/0.60
% 1.62/0.60 % (7122)Memory used [KB]: 2430
% 1.62/0.60 % (7122)Time elapsed: 0.006 s
% 1.62/0.60 % (7122)Instructions burned: 8 (million)
% 1.62/0.60 % (7122)------------------------------
% 1.62/0.60 % (7122)------------------------------
% 1.62/0.61 % (7114)Instruction limit reached!
% 1.62/0.61 % (7114)------------------------------
% 1.62/0.61 % (7114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.61 % (7114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.61 % (7114)Termination reason: Unknown
% 1.62/0.61 % (7114)Termination phase: Function definition elimination
% 1.62/0.61
% 1.62/0.61 % (7114)Memory used [KB]: 3454
% 1.62/0.61 % (7114)Time elapsed: 0.021 s
% 1.62/0.61 % (7114)Instructions burned: 39 (million)
% 1.62/0.61 % (7114)------------------------------
% 1.62/0.61 % (7114)------------------------------
% 1.62/0.61 % (7137)Instruction limit reached!
% 1.62/0.61 % (7137)------------------------------
% 1.62/0.61 % (7137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.61 % (7137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.61 % (7137)Termination reason: Unknown
% 1.62/0.61 % (7137)Termination phase: Clausification
% 1.62/0.61
% 1.62/0.61 % (7137)Memory used [KB]: 4605
% 1.62/0.61 % (7137)Time elapsed: 0.015 s
% 1.62/0.61 % (7137)Instructions burned: 25 (million)
% 1.62/0.61 % (7137)------------------------------
% 1.62/0.61 % (7137)------------------------------
% 1.62/0.61 % (7135)Instruction limit reached!
% 1.62/0.61 % (7135)------------------------------
% 1.62/0.61 % (7135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.61 % (7135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.61 % (7135)Termination reason: Unknown
% 1.62/0.61 % (7135)Termination phase: Preprocessing 3
% 1.62/0.61
% 1.62/0.61 % (7135)Memory used [KB]: 3326
% 1.62/0.61 % (7135)Time elapsed: 0.016 s
% 1.62/0.61 % (7135)Instructions burned: 27 (million)
% 1.62/0.61 % (7135)------------------------------
% 1.62/0.61 % (7135)------------------------------
% 1.62/0.62 % (7115)Instruction limit reached!
% 1.62/0.62 % (7115)------------------------------
% 1.62/0.62 % (7115)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.62 % (7115)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.62 % (7115)Termination reason: Unknown
% 1.62/0.62 % (7115)Termination phase: Saturation
% 1.62/0.62
% 1.62/0.62 % (7115)Memory used [KB]: 7036
% 1.62/0.62 % (7115)Time elapsed: 0.178 s
% 1.62/0.62 % (7115)Instructions burned: 51 (million)
% 1.62/0.62 % (7115)------------------------------
% 1.62/0.62 % (7115)------------------------------
% 1.89/0.63 % (7113)Instruction limit reached!
% 1.89/0.63 % (7113)------------------------------
% 1.89/0.63 % (7113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.89/0.63 % (7113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.89/0.63 % (7113)Termination reason: Unknown
% 1.89/0.63 % (7113)Termination phase: Saturation
% 1.89/0.63
% 1.89/0.63 % (7113)Memory used [KB]: 7036
% 1.89/0.63 % (7113)Time elapsed: 0.185 s
% 1.89/0.63 % (7113)Instructions burned: 41 (million)
% 1.89/0.63 % (7113)------------------------------
% 1.89/0.63 % (7113)------------------------------
% 1.93/0.64 % (7130)Instruction limit reached!
% 1.93/0.64 % (7130)------------------------------
% 1.93/0.64 % (7130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.64 % (7130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.64 % (7130)Termination reason: Unknown
% 1.93/0.64 % (7130)Termination phase: Property scanning
% 1.93/0.64
% 1.93/0.64 % (7130)Memory used [KB]: 3582
% 1.93/0.64 % (7130)Time elapsed: 0.021 s
% 1.93/0.64 % (7130)Instructions burned: 47 (million)
% 1.93/0.64 % (7130)------------------------------
% 1.93/0.64 % (7130)------------------------------
% 1.93/0.64 % (7123)Instruction limit reached!
% 1.93/0.64 % (7123)------------------------------
% 1.93/0.64 % (7123)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.64 % (7123)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.64 % (7123)Termination reason: Unknown
% 1.93/0.64 % (7123)Termination phase: Saturation
% 1.93/0.64
% 1.93/0.64 % (7123)Memory used [KB]: 3582
% 1.93/0.64 % (7123)Time elapsed: 0.023 s
% 1.93/0.64 % (7123)Instructions burned: 51 (million)
% 1.93/0.64 % (7123)------------------------------
% 1.93/0.64 % (7123)------------------------------
% 1.93/0.65 % (7120)Instruction limit reached!
% 1.93/0.65 % (7120)------------------------------
% 1.93/0.65 % (7120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.65 % (7120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.65 % (7120)Termination reason: Unknown
% 1.93/0.65 % (7120)Termination phase: Saturation
% 1.93/0.65
% 1.93/0.65 % (7120)Memory used [KB]: 7419
% 1.93/0.65 % (7120)Time elapsed: 0.210 s
% 1.93/0.65 % (7120)Instructions burned: 51 (million)
% 1.93/0.65 % (7120)------------------------------
% 1.93/0.65 % (7120)------------------------------
% 1.93/0.65 % (7170)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.93/0.66 % (7132)Instruction limit reached!
% 1.93/0.66 % (7132)------------------------------
% 1.93/0.66 % (7132)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.66 % (7132)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.66 % (7132)Termination reason: Unknown
% 1.93/0.66 % (7132)Termination phase: Property scanning
% 1.93/0.66
% 1.93/0.66 % (7132)Memory used [KB]: 3454
% 1.93/0.66 % (7132)Time elapsed: 0.026 s
% 1.93/0.66 % (7132)Instructions burned: 52 (million)
% 1.93/0.66 % (7132)------------------------------
% 1.93/0.66 % (7132)------------------------------
% 1.93/0.66 % (7180)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 1.93/0.67 % (7191)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 1.93/0.68 % (7190)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/87Mi)
% 1.93/0.69 % (7180)Instruction limit reached!
% 1.93/0.69 % (7180)------------------------------
% 1.93/0.69 % (7180)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.69 % (7180)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.69 % (7180)Termination reason: Unknown
% 1.93/0.69 % (7180)Termination phase: Saturation
% 1.93/0.69
% 1.93/0.69 % (7180)Memory used [KB]: 6652
% 1.93/0.69 % (7180)Time elapsed: 0.006 s
% 1.93/0.69 % (7180)Instructions burned: 8 (million)
% 1.93/0.69 % (7180)------------------------------
% 1.93/0.69 % (7180)------------------------------
% 1.93/0.69 % (7202)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 1.93/0.69 % (7192)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/107Mi)
% 1.93/0.70 % (7207)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 1.93/0.70 % (7210)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 1.93/0.70 % (7196)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 1.93/0.70 % (7213)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 1.93/0.70 % (7200)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 1.93/0.71 % (7197)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 1.93/0.71 % (7133)Instruction limit reached!
% 1.93/0.71 % (7133)------------------------------
% 1.93/0.71 % (7133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.93/0.71 % (7133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.93/0.71 % (7133)Termination reason: Unknown
% 1.93/0.71 % (7133)Termination phase: Saturation
% 1.93/0.71
% 1.93/0.71 % (7133)Memory used [KB]: 8699
% 1.93/0.71 % (7133)Time elapsed: 0.052 s
% 1.93/0.71 % (7133)Instructions burned: 95 (million)
% 1.93/0.71 % (7133)------------------------------
% 1.93/0.71 % (7133)------------------------------
% 2.09/0.71 % (7211)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.09/0.71 % (7208)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.09/0.71 % (7134)Instruction limit reached!
% 2.09/0.71 % (7134)------------------------------
% 2.09/0.71 % (7134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.71 % (7134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.71 % (7134)Termination reason: Unknown
% 2.09/0.71 % (7134)Termination phase: Saturation
% 2.09/0.71
% 2.09/0.71 % (7134)Memory used [KB]: 5245
% 2.09/0.71 % (7134)Time elapsed: 0.052 s
% 2.09/0.71 % (7134)Instructions burned: 99 (million)
% 2.09/0.71 % (7134)------------------------------
% 2.09/0.71 % (7134)------------------------------
% 2.09/0.71 % (7215)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.09/0.72 % (7216)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.09/0.72 % (7222)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.09/0.72 % (7128)Instruction limit reached!
% 2.09/0.72 % (7128)------------------------------
% 2.09/0.72 % (7128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.72 % (7128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.72 % (7128)Termination reason: Unknown
% 2.09/0.72 % (7128)Termination phase: Saturation
% 2.09/0.72
% 2.09/0.72 % (7128)Memory used [KB]: 9594
% 2.09/0.72 % (7128)Time elapsed: 0.050 s
% 2.09/0.72 % (7128)Instructions burned: 100 (million)
% 2.09/0.72 % (7128)------------------------------
% 2.09/0.72 % (7128)------------------------------
% 2.09/0.73 % (7202)Instruction limit reached!
% 2.09/0.73 % (7202)------------------------------
% 2.09/0.73 % (7202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.73 % (7202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.73 % (7202)Termination reason: Unknown
% 2.09/0.73 % (7202)Termination phase: Property scanning
% 2.09/0.73
% 2.09/0.73 % (7202)Memory used [KB]: 3454
% 2.09/0.73 % (7202)Time elapsed: 0.016 s
% 2.09/0.73 % (7202)Instructions burned: 31 (million)
% 2.09/0.73 % (7202)------------------------------
% 2.09/0.73 % (7202)------------------------------
% 2.09/0.73 % (7220)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.09/0.75 % (7252)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/10Mi)
% 2.09/0.75 % (7226)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.09/0.75 % (7238)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.09/0.75 % (7225)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.09/0.76 % (7190)First to succeed.
% 2.09/0.76 % (7253)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=472:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/472Mi)
% 2.09/0.76 % (7216)Instruction limit reached!
% 2.09/0.76 % (7216)------------------------------
% 2.09/0.76 % (7216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.76 % (7216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.76 % (7216)Termination reason: Unknown
% 2.09/0.76 % (7216)Termination phase: Preprocessing 3
% 2.09/0.76
% 2.09/0.76 % (7216)Memory used [KB]: 2942
% 2.09/0.76 % (7216)Time elapsed: 0.012 s
% 2.09/0.76 % (7216)Instructions burned: 15 (million)
% 2.09/0.76 % (7216)------------------------------
% 2.09/0.76 % (7216)------------------------------
% 2.09/0.76 % (7252)Instruction limit reached!
% 2.09/0.76 % (7252)------------------------------
% 2.09/0.76 % (7252)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.76 % (7190)Refutation found. Thanks to Tanya!
% 2.09/0.76 % SZS status Theorem for theBenchmark
% 2.09/0.76 % SZS output start Proof for theBenchmark
% See solution above
% 2.09/0.76 % (7190)------------------------------
% 2.09/0.76 % (7190)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.09/0.76 % (7190)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.09/0.76 % (7190)Termination reason: Refutation
% 2.09/0.76
% 2.09/0.76 % (7190)Memory used [KB]: 7164
% 2.09/0.76 % (7190)Time elapsed: 0.167 s
% 2.09/0.76 % (7190)Instructions burned: 33 (million)
% 2.09/0.76 % (7190)------------------------------
% 2.09/0.76 % (7190)------------------------------
% 2.09/0.76 % (7088)Success in time 0.396 s
%------------------------------------------------------------------------------