TSTP Solution File: SCT117+1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SCT117+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 : n018.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 18:16:45 EDT 2022
% Result : Theorem 3.25s 1.02s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 51
% Syntax : Number of formulae : 234 ( 13 unt; 0 def)
% Number of atoms : 1135 ( 413 equ)
% Maximal formula atoms : 53 ( 4 avg)
% Number of connectives : 1476 ( 575 ~; 511 |; 317 &)
% ( 29 <=>; 44 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 31 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-4 aty)
% Number of variables : 239 ( 198 !; 41 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2283,plain,
$false,
inference(avatar_sat_refutation,[],[f710,f723,f728,f789,f821,f823,f1232,f1234,f1306,f1358,f1361,f1362,f1363,f1427,f1429,f1438,f1441,f1450,f1454,f1488,f1513,f1524,f1598,f1602,f1925,f1926,f2115,f2122,f2150,f2217,f2241,f2281]) ).
fof(f2281,plain,
( ~ spl32_22
| ~ spl32_58 ),
inference(avatar_contradiction_clause,[],[f2280]) ).
fof(f2280,plain,
( $false
| ~ spl32_22
| ~ spl32_58 ),
inference(subsumption_resolution,[],[f2262,f1357]) ).
fof(f1357,plain,
( sP15(sK6)
| ~ spl32_58 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1355,plain,
( spl32_58
<=> sP15(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_58])]) ).
fof(f2262,plain,
( ~ sP15(sK6)
| ~ spl32_22 ),
inference(backward_demodulation,[],[f650,f811]) ).
fof(f811,plain,
( sK7 = sK6
| ~ spl32_22 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f809,plain,
( spl32_22
<=> sK7 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_22])]) ).
fof(f650,plain,
~ sP15(sK7),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP15])]) ).
fof(f2241,plain,
( spl32_79
| spl32_75
| ~ spl32_2 ),
inference(avatar_split_clause,[],[f2229,f699,f1644,f1662]) ).
fof(f1662,plain,
( spl32_79
<=> ! [X25,X24] : ~ sP2(X24,X25,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_79])]) ).
fof(f1644,plain,
( spl32_75
<=> ! [X20,X21] : ~ sP2(sK10,X20,X21) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_75])]) ).
fof(f699,plain,
( spl32_2
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_2])]) ).
fof(f2229,plain,
( ! [X24,X22,X25,X23] :
( ~ sP2(sK10,X22,X23)
| ~ sP2(X24,X25,sK11) )
| ~ spl32_2 ),
inference(resolution,[],[f701,f913]) ).
fof(f913,plain,
! [X10,X11,X14,X15,X12,X13] :
( ~ c_member(tc_prod(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,X13),v_L)
| ~ sP2(X10,X11,X12)
| ~ sP2(X14,X15,X13) ),
inference(resolution,[],[f828,f624]) ).
fof(f624,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,v_x),v_L)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f577]) ).
fof(f577,plain,
! [X0,X1,X2] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = 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,v_x),v_L)
& v_x != X0 )
| ~ sP2(X0,X1,X2) ),
inference(rectify,[],[f576]) ).
fof(f576,plain,
! [X2,X5,X3] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X5
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_x != X2 )
| ~ sP2(X2,X5,X3) ),
inference(nnf_transformation,[],[f551]) ).
fof(f551,plain,
! [X2,X5,X3] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X5
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_x != X2 )
| ~ sP2(X2,X5,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f828,plain,
! [X6,X7,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,v_x),v_L)
| ~ sP2(X4,X6,X7)
| ~ c_member(tc_prod(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(resolution,[],[f596,f626]) ).
fof(f626,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,X0,v_x),v_L)
| ~ sP2(X0,X1,X2) ),
inference(cnf_transformation,[],[f577]) ).
fof(f596,plain,
! [X3,X4,X5] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X5),v_L) ),
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,X0,X1),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
| X0 = X1 )
& ! [X2] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L)
& ! [X3,X4] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)
| ! [X5] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,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,[],[f542]) ).
fof(f542,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 )
& ! [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,X5),v_L)
& ! [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)
| ! [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,X2,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,X3,X4),v_L) ) ) ),
inference(flattening,[],[f541]) ).
fof(f541,plain,
( ! [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,X5),v_L)
& ! [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)
| ! [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,X2,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,X3,X4),v_L) ) )
& ! [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)
| c_member(tc_prod(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)
| X0 = X1 ) ),
inference(ennf_transformation,[],[f531]) ).
fof(f531,plain,
( ! [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,X5),v_L)
& ! [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)
=> ! [X4] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X4),v_L) ) )
& ! [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,X0,X1),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) ) ) ),
inference(rectify,[],[f527]) ).
fof(f527,axiom,
( ! [X2,X35] :
( X2 != X35
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X2),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L) ) )
& ! [X2,X35] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L)
=> ! [X34] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),v_L)
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X34),v_L) ) )
& ! [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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f701,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L)
| ~ spl32_2 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f2217,plain,
( spl32_77
| ~ spl32_2
| ~ spl32_34 ),
inference(avatar_split_clause,[],[f2200,f1220,f699,f1651]) ).
fof(f1651,plain,
( spl32_77
<=> ! [X18,X17] : ~ sP1(X17,sK10,X18) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_77])]) ).
fof(f1220,plain,
( spl32_34
<=> v_x = sK11 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_34])]) ).
fof(f2200,plain,
( ! [X8,X7] : ~ sP1(X7,sK10,X8)
| ~ spl32_2
| ~ spl32_34 ),
inference(resolution,[],[f2178,f627]) ).
fof(f627,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,X1,v_x),v_L)
| ~ sP1(X0,X1,X2) ),
inference(cnf_transformation,[],[f579]) ).
fof(f579,plain,
! [X0,X1,X2] :
( ( v_x = X0
& v_x != X1
& v_y = X2
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L) )
| ~ sP1(X0,X1,X2) ),
inference(rectify,[],[f578]) ).
fof(f578,plain,
! [X3,X2,X5] :
( ( v_x = X3
& v_x != X2
& v_y = X5
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L) )
| ~ sP1(X3,X2,X5) ),
inference(nnf_transformation,[],[f550]) ).
fof(f550,plain,
! [X3,X2,X5] :
( ( v_x = X3
& v_x != X2
& v_y = X5
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L) )
| ~ sP1(X3,X2,X5) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2178,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,v_x),v_L)
| ~ spl32_2
| ~ spl32_34 ),
inference(backward_demodulation,[],[f701,f1222]) ).
fof(f1222,plain,
( v_x = sK11
| ~ spl32_34 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f2150,plain,
( spl32_34
| ~ spl32_5 ),
inference(avatar_split_clause,[],[f2149,f712,f1220]) ).
fof(f712,plain,
( spl32_5
<=> sP1(sK11,sK10,sK12) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_5])]) ).
fof(f2149,plain,
( v_x = sK11
| ~ spl32_5 ),
inference(resolution,[],[f2137,f630]) ).
fof(f630,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| v_x = X0 ),
inference(cnf_transformation,[],[f579]) ).
fof(f2137,plain,
( sP1(sK11,sK10,v_y)
| ~ spl32_5 ),
inference(backward_demodulation,[],[f714,f2123]) ).
fof(f2123,plain,
( v_y = sK12
| ~ spl32_5 ),
inference(resolution,[],[f714,f628]) ).
fof(f628,plain,
! [X2,X0,X1] :
( ~ sP1(X0,X1,X2)
| v_y = X2 ),
inference(cnf_transformation,[],[f579]) ).
fof(f714,plain,
( sP1(sK11,sK10,sK12)
| ~ spl32_5 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f2122,plain,
( ~ spl32_5
| ~ spl32_77 ),
inference(avatar_contradiction_clause,[],[f2121]) ).
fof(f2121,plain,
( $false
| ~ spl32_5
| ~ spl32_77 ),
inference(subsumption_resolution,[],[f714,f1652]) ).
fof(f1652,plain,
( ! [X18,X17] : ~ sP1(X17,sK10,X18)
| ~ spl32_77 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f2115,plain,
( ~ spl32_6
| ~ spl32_79 ),
inference(avatar_contradiction_clause,[],[f2114]) ).
fof(f2114,plain,
( $false
| ~ spl32_6
| ~ spl32_79 ),
inference(resolution,[],[f1663,f1949]) ).
fof(f1949,plain,
( sP2(sK10,v_y,sK11)
| ~ spl32_6 ),
inference(backward_demodulation,[],[f718,f1927]) ).
fof(f1927,plain,
( v_y = sK12
| ~ spl32_6 ),
inference(resolution,[],[f718,f625]) ).
fof(f625,plain,
! [X2,X0,X1] :
( ~ sP2(X0,X1,X2)
| v_y = X1 ),
inference(cnf_transformation,[],[f577]) ).
fof(f718,plain,
( sP2(sK10,sK12,sK11)
| ~ spl32_6 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f716,plain,
( spl32_6
<=> sP2(sK10,sK12,sK11) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_6])]) ).
fof(f1663,plain,
( ! [X24,X25] : ~ sP2(X24,X25,sK11)
| ~ spl32_79 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f1926,plain,
( ~ spl32_8
| ~ spl32_2
| spl32_7 ),
inference(avatar_split_clause,[],[f1902,f720,f699,f725]) ).
fof(f725,plain,
( spl32_8
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK12),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_8])]) ).
fof(f720,plain,
( spl32_7
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK12),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_7])]) ).
fof(f1902,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,sK12),v_L)
| ~ spl32_2
| spl32_7 ),
inference(resolution,[],[f1769,f701]) ).
fof(f1769,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,X0,sK12),v_L) )
| spl32_7 ),
inference(resolution,[],[f722,f596]) ).
fof(f722,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK12),v_L)
| spl32_7 ),
inference(avatar_component_clause,[],[f720]) ).
fof(f1925,plain,
( ~ spl32_6
| ~ spl32_75 ),
inference(avatar_contradiction_clause,[],[f1924]) ).
fof(f1924,plain,
( $false
| ~ spl32_6
| ~ spl32_75 ),
inference(subsumption_resolution,[],[f718,f1645]) ).
fof(f1645,plain,
( ! [X21,X20] : ~ sP2(sK10,X20,X21)
| ~ spl32_75 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f1602,plain,
( ~ spl32_15
| ~ spl32_55 ),
inference(avatar_contradiction_clause,[],[f1601]) ).
fof(f1601,plain,
( $false
| ~ spl32_15
| ~ spl32_55 ),
inference(subsumption_resolution,[],[f1600,f660]) ).
fof(f660,plain,
~ sP21(v_y),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP21])]) ).
fof(f1600,plain,
( sP21(v_y)
| ~ spl32_15
| ~ spl32_55 ),
inference(forward_demodulation,[],[f1337,f779]) ).
fof(f779,plain,
( v_y = sK6
| ~ spl32_15 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f777,plain,
( spl32_15
<=> v_y = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_15])]) ).
fof(f1337,plain,
( sP21(sK6)
| ~ spl32_55 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1335,plain,
( spl32_55
<=> sP21(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_55])]) ).
fof(f1598,plain,
( ~ spl32_20
| ~ spl32_54 ),
inference(avatar_contradiction_clause,[],[f1597]) ).
fof(f1597,plain,
( $false
| ~ spl32_20
| ~ spl32_54 ),
inference(subsumption_resolution,[],[f1595,f659]) ).
fof(f659,plain,
~ sP20(v_x),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1595,plain,
( sP20(v_x)
| ~ spl32_20
| ~ spl32_54 ),
inference(backward_demodulation,[],[f1333,f801]) ).
fof(f801,plain,
( v_x = sK7
| ~ spl32_20 ),
inference(avatar_component_clause,[],[f799]) ).
fof(f799,plain,
( spl32_20
<=> v_x = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_20])]) ).
fof(f1333,plain,
( sP20(sK7)
| ~ spl32_54 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1331,plain,
( spl32_54
<=> sP20(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_54])]) ).
fof(f1524,plain,
( ~ spl32_15
| ~ spl32_21
| ~ spl32_58 ),
inference(avatar_contradiction_clause,[],[f1523]) ).
fof(f1523,plain,
( $false
| ~ spl32_15
| ~ spl32_21
| ~ spl32_58 ),
inference(subsumption_resolution,[],[f1517,f1507]) ).
fof(f1507,plain,
( sP15(v_y)
| ~ spl32_15
| ~ spl32_58 ),
inference(backward_demodulation,[],[f1357,f779]) ).
fof(f1517,plain,
( ~ sP15(v_y)
| ~ spl32_21 ),
inference(backward_demodulation,[],[f650,f805]) ).
fof(f805,plain,
( v_y = sK7
| ~ spl32_21 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f803,plain,
( spl32_21
<=> v_y = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_21])]) ).
fof(f1513,plain,
( ~ spl32_15
| ~ spl32_23 ),
inference(avatar_contradiction_clause,[],[f1512]) ).
fof(f1512,plain,
( $false
| ~ spl32_15
| ~ spl32_23 ),
inference(subsumption_resolution,[],[f1505,f662]) ).
fof(f662,plain,
~ sP22(v_y),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP22])]) ).
fof(f1505,plain,
( sP22(v_y)
| ~ spl32_15
| ~ spl32_23 ),
inference(backward_demodulation,[],[f816,f779]) ).
fof(f816,plain,
( sP22(sK6)
| ~ spl32_23 ),
inference(avatar_component_clause,[],[f814]) ).
fof(f814,plain,
( spl32_23
<=> sP22(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_23])]) ).
fof(f1488,plain,
( ~ spl32_14
| ~ spl32_56 ),
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1487,plain,
( $false
| ~ spl32_14
| ~ spl32_56 ),
inference(subsumption_resolution,[],[f1486,f653]) ).
fof(f653,plain,
~ sP17(v_x),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP17])]) ).
fof(f1486,plain,
( sP17(v_x)
| ~ spl32_14
| ~ spl32_56 ),
inference(forward_demodulation,[],[f1343,f775]) ).
fof(f775,plain,
( v_x = sK6
| ~ spl32_14 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f773,plain,
( spl32_14
<=> v_x = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_14])]) ).
fof(f1343,plain,
( sP17(sK6)
| ~ spl32_56 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1341,plain,
( spl32_56
<=> sP17(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_56])]) ).
fof(f1454,plain,
( ~ spl32_21
| ~ spl32_52 ),
inference(avatar_contradiction_clause,[],[f1453]) ).
fof(f1453,plain,
( $false
| ~ spl32_21
| ~ spl32_52 ),
inference(subsumption_resolution,[],[f1452,f652]) ).
fof(f652,plain,
~ sP16(v_y),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1452,plain,
( sP16(v_y)
| ~ spl32_21
| ~ spl32_52 ),
inference(forward_demodulation,[],[f1315,f805]) ).
fof(f1315,plain,
( sP16(sK7)
| ~ spl32_52 ),
inference(avatar_component_clause,[],[f1313]) ).
fof(f1313,plain,
( spl32_52
<=> sP16(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_52])]) ).
fof(f1450,plain,
( ~ spl32_3
| ~ spl32_34 ),
inference(avatar_contradiction_clause,[],[f1449]) ).
fof(f1449,plain,
( $false
| ~ spl32_3
| ~ spl32_34 ),
inference(subsumption_resolution,[],[f1447,f751]) ).
fof(f751,plain,
! [X6] : ~ sP3(v_x,X6),
inference(resolution,[],[f597,f621]) ).
fof(f621,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f575]) ).
fof(f575,plain,
! [X0,X1] :
( ( v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
& v_y = X1
& ( sP0(sK9(X0),X0)
| ( v_y = sK9(X0)
& v_x = X0 )
| ( v_y = 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,v_x),v_L) ) ) )
| ~ sP3(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f573,f574]) ).
fof(f574,plain,
! [X0] :
( ? [X2] :
( sP0(X2,X0)
| ( v_y = X2
& v_x = X0 )
| ( v_y = X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L) ) )
=> ( sP0(sK9(X0),X0)
| ( v_y = sK9(X0)
& v_x = X0 )
| ( v_y = 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,v_x),v_L) ) ) ),
introduced(choice_axiom,[]) ).
fof(f573,plain,
! [X0,X1] :
( ( v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
& v_y = X1
& ? [X2] :
( sP0(X2,X0)
| ( v_y = X2
& v_x = X0 )
| ( v_y = X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L) ) ) )
| ~ sP3(X0,X1) ),
inference(rectify,[],[f572]) ).
fof(f572,plain,
! [X3,X2] :
( ( v_y != X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L)
& v_y = X2
& ? [X4] :
( sP0(X4,X3)
| ( v_y = X4
& v_x = X3 )
| ( v_y = X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L) ) ) )
| ~ sP3(X3,X2) ),
inference(nnf_transformation,[],[f552]) ).
fof(f552,plain,
! [X3,X2] :
( ( v_y != X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L)
& v_y = X2
& ? [X4] :
( sP0(X4,X3)
| ( v_y = X4
& v_x = X3 )
| ( v_y = X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L) ) ) )
| ~ sP3(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f597,plain,
! [X2] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X2),v_L),
inference(cnf_transformation,[],[f562]) ).
fof(f1447,plain,
( sP3(v_x,v_y)
| ~ spl32_3
| ~ spl32_34 ),
inference(backward_demodulation,[],[f1371,f1222]) ).
fof(f1371,plain,
( sP3(sK11,v_y)
| ~ spl32_3 ),
inference(backward_demodulation,[],[f705,f1369]) ).
fof(f1369,plain,
( v_y = sK10
| ~ spl32_3 ),
inference(resolution,[],[f705,f620]) ).
fof(f620,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| v_y = X1 ),
inference(cnf_transformation,[],[f575]) ).
fof(f705,plain,
( sP3(sK11,sK10)
| ~ spl32_3 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f703,plain,
( spl32_3
<=> sP3(sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_3])]) ).
fof(f1441,plain,
( spl32_34
| spl32_33
| ~ spl32_35 ),
inference(avatar_split_clause,[],[f1439,f1224,f1217,f1220]) ).
fof(f1217,plain,
( spl32_33
<=> ! [X3] : ~ sP3(sK11,X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_33])]) ).
fof(f1224,plain,
( spl32_35
<=> ! [X2] : ~ sP0(sK9(sK11),X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_35])]) ).
fof(f1439,plain,
( ! [X0] :
( ~ sP3(sK11,X0)
| v_x = sK11 )
| ~ spl32_35 ),
inference(resolution,[],[f1225,f873]) ).
fof(f873,plain,
! [X2,X3] :
( sP0(sK9(X2),X2)
| v_x = X2
| ~ sP3(X2,X3) ),
inference(subsumption_resolution,[],[f861,f621]) ).
fof(f861,plain,
! [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,v_x,X2),v_L)
| sP0(sK9(X2),X2)
| ~ sP3(X2,X3)
| v_x = X2 ),
inference(resolution,[],[f830,f616]) ).
fof(f616,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| ~ sP3(X0,X1)
| sP0(sK9(X0),X0)
| v_x = X0 ),
inference(cnf_transformation,[],[f575]) ).
fof(f830,plain,
! [X11,X12] :
( ~ c_member(tc_prod(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)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X11,X12),v_L) ),
inference(resolution,[],[f596,f597]) ).
fof(f1225,plain,
( ! [X2] : ~ sP0(sK9(sK11),X2)
| ~ spl32_35 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1438,plain,
( ~ spl32_3
| ~ spl32_33 ),
inference(avatar_contradiction_clause,[],[f1437]) ).
fof(f1437,plain,
( $false
| ~ spl32_3
| ~ spl32_33 ),
inference(resolution,[],[f1218,f1371]) ).
fof(f1218,plain,
( ! [X3] : ~ sP3(sK11,X3)
| ~ spl32_33 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1429,plain,
( ~ spl32_16
| ~ spl32_21 ),
inference(avatar_contradiction_clause,[],[f1428]) ).
fof(f1428,plain,
( $false
| ~ spl32_16
| ~ spl32_21 ),
inference(subsumption_resolution,[],[f1422,f657]) ).
fof(f657,plain,
~ sP19(v_y),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1422,plain,
( sP19(v_y)
| ~ spl32_16
| ~ spl32_21 ),
inference(backward_demodulation,[],[f784,f805]) ).
fof(f784,plain,
( sP19(sK7)
| ~ spl32_16 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f782,plain,
( spl32_16
<=> sP19(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_16])]) ).
fof(f1427,plain,
( ~ spl32_13
| ~ spl32_21 ),
inference(avatar_contradiction_clause,[],[f1426]) ).
fof(f1426,plain,
( $false
| ~ spl32_13
| ~ spl32_21 ),
inference(subsumption_resolution,[],[f1423,f655]) ).
fof(f655,plain,
~ sP18(v_y),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1423,plain,
( sP18(v_y)
| ~ spl32_13
| ~ spl32_21 ),
inference(backward_demodulation,[],[f771,f805]) ).
fof(f771,plain,
( sP18(sK7)
| ~ spl32_13 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f769,plain,
( spl32_13
<=> sP18(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_13])]) ).
fof(f1363,plain,
( ~ spl32_1
| spl32_54
| spl32_55 ),
inference(avatar_split_clause,[],[f661,f1335,f1331,f695]) ).
fof(f695,plain,
( spl32_1
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).
fof(f661,plain,
( sP21(sK6)
| sP20(sK7)
| ~ sP5 ),
inference(inequality_splitting,[],[f603,f660,f659]) ).
fof(f603,plain,
( v_x != sK7
| v_y != sK6
| ~ sP5 ),
inference(cnf_transformation,[],[f567]) ).
fof(f567,plain,
( ( ( v_y != sK6
| v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L) )
& sK7 != sK6
& ( v_y != sK7
| 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_x,sK6),v_L)
| v_y != sK7
| v_y = sK6 )
& ( v_y != sK7
| v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,v_x),v_L) )
& ( v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6),v_L)
| v_y = sK6 )
& ( v_x != sK7
| v_y != sK6 )
& ( v_y != sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_x),v_L)
| v_y = sK7 )
& ( v_y = sK6
| v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,sK7),v_L) ) )
| ~ sP5 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f565,f566]) ).
fof(f566,plain,
( ? [X0,X1] :
( ( v_y != X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L) )
& X0 != X1
& ( v_y != 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_x,X0),v_L)
| v_y != X1
| v_y = X0 )
& ( v_y != X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L) )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
| v_y = X0 )
& ( v_x != X1
| v_y != X0 )
& ( v_y != X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| v_y = X1 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) ) )
=> ( ( v_y != sK6
| v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L) )
& sK7 != sK6
& ( v_y != sK7
| 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_x,sK6),v_L)
| v_y != sK7
| v_y = sK6 )
& ( v_y != sK7
| v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,v_x),v_L) )
& ( v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6),v_L)
| v_y = sK6 )
& ( v_x != sK7
| v_y != sK6 )
& ( v_y != sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_x),v_L)
| v_y = sK7 )
& ( v_y = sK6
| v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,sK7),v_L) ) ) ),
introduced(choice_axiom,[]) ).
fof(f565,plain,
( ? [X0,X1] :
( ( v_y != X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L) )
& X0 != X1
& ( v_y != 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_x,X0),v_L)
| v_y != X1
| v_y = X0 )
& ( v_y != X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L) )
& ( v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
| v_y = X0 )
& ( v_x != X1
| v_y != X0 )
& ( v_y != X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| v_y = X1 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) ) )
| ~ sP5 ),
inference(rectify,[],[f564]) ).
fof(f564,plain,
( ? [X1,X0] :
( ( v_y != X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L) )
& X0 != X1
& ( v_y != 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_x,X1),v_L)
| v_y != X0
| v_y = X1 )
& ( v_y != X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L) )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
| v_y = X1 )
& ( v_x != X0
| v_y != X1 )
& ( v_y != X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y = X0 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) ) )
| ~ sP5 ),
inference(nnf_transformation,[],[f554]) ).
fof(f554,plain,
( ? [X1,X0] :
( ( v_y != X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L) )
& X0 != X1
& ( v_y != 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_x,X1),v_L)
| v_y != X0
| v_y = X1 )
& ( v_y != X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L) )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
| v_y = X1 )
& ( v_x != X0
| v_y != X1 )
& ( v_y != X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y = X0 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) ) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1362,plain,
( spl32_15
| ~ spl32_1
| spl32_13
| ~ spl32_17 ),
inference(avatar_split_clause,[],[f656,f786,f769,f695,f777]) ).
fof(f786,plain,
( spl32_17
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK6),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_17])]) ).
fof(f656,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK6),v_L)
| sP18(sK7)
| ~ sP5
| v_y = sK6 ),
inference(inequality_splitting,[],[f606,f655]) ).
fof(f606,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK6),v_L)
| v_y != sK7
| v_y = sK6
| ~ sP5 ),
inference(cnf_transformation,[],[f567]) ).
fof(f1361,plain,
( ~ spl32_1
| spl32_52
| spl32_56 ),
inference(avatar_split_clause,[],[f654,f1341,f1313,f695]) ).
fof(f654,plain,
( sP17(sK6)
| sP16(sK7)
| ~ sP5 ),
inference(inequality_splitting,[],[f607,f653,f652]) ).
fof(f607,plain,
( v_y != sK7
| v_x != sK6
| ~ sP5 ),
inference(cnf_transformation,[],[f567]) ).
fof(f1358,plain,
( ~ spl32_1
| spl32_58 ),
inference(avatar_split_clause,[],[f651,f1355,f695]) ).
fof(f651,plain,
( sP15(sK6)
| ~ sP5 ),
inference(inequality_splitting,[],[f608,f650]) ).
fof(f608,plain,
( sK7 != sK6
| ~ sP5 ),
inference(cnf_transformation,[],[f567]) ).
fof(f1306,plain,
( ~ spl32_24
| spl32_21
| ~ spl32_1
| ~ spl32_15 ),
inference(avatar_split_clause,[],[f1305,f777,f695,f803,f818]) ).
fof(f818,plain,
( spl32_24
<=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_24])]) ).
fof(f1305,plain,
( v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L)
| ~ spl32_1
| ~ spl32_15 ),
inference(subsumption_resolution,[],[f1304,f648]) ).
fof(f648,plain,
~ sP14(v_y),
introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP14])]) ).
fof(f1304,plain,
( v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L)
| sP14(v_y)
| ~ spl32_1
| ~ spl32_15 ),
inference(subsumption_resolution,[],[f1292,f697]) ).
fof(f697,plain,
( sP5
| ~ spl32_1 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f1292,plain,
( v_y = sK7
| ~ sP5
| sP14(v_y)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L)
| ~ spl32_15 ),
inference(backward_demodulation,[],[f649,f779]) ).
fof(f649,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L)
| v_y = sK7
| ~ sP5
| sP14(sK6) ),
inference(inequality_splitting,[],[f609,f648]) ).
fof(f609,plain,
( v_y != sK6
| v_y = sK7
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L)
| ~ sP5 ),
inference(cnf_transformation,[],[f567]) ).
fof(f1234,plain,
~ spl32_4,
inference(avatar_contradiction_clause,[],[f1233]) ).
fof(f1233,plain,
( $false
| ~ spl32_4 ),
inference(subsumption_resolution,[],[f709,f932]) ).
fof(f932,plain,
! [X10,X11,X12] :
( ~ sP4(X12,X11)
| ~ sP4(X10,X11) ),
inference(subsumption_resolution,[],[f926,f611]) ).
fof(f611,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f571]) ).
fof(f571,plain,
! [X0,X1] :
( ( v_y = X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK8(X1)),v_L)
& v_y != sK8(X1)
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK8(X1)),v_L)
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
& v_y != X1 )
| ~ sP4(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f569,f570]) ).
fof(f570,plain,
! [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_x,X2),v_L)
& v_y != X2
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,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,v_x,sK8(X1)),v_L)
& v_y != sK8(X1)
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK8(X1)),v_L) ) ),
introduced(choice_axiom,[]) ).
fof(f569,plain,
! [X0,X1] :
( ( v_y = 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_x,X2),v_L)
& v_y != X2
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,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,v_x),v_L)
& v_y != X1 )
| ~ sP4(X0,X1) ),
inference(rectify,[],[f568]) ).
fof(f568,plain,
! [X3,X2] :
( ( v_y = X3
& ? [X6] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X6),v_L)
& v_y != X6
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) )
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y != X2 )
| ~ sP4(X3,X2) ),
inference(nnf_transformation,[],[f553]) ).
fof(f553,plain,
! [X3,X2] :
( ( v_y = X3
& ? [X6] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X6),v_L)
& v_y != X6
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) )
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y != X2 )
| ~ sP4(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f926,plain,
! [X10,X11,X12] :
( ~ sP4(X10,X11)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X11,v_x),v_L)
| ~ sP4(X12,X11) ),
inference(resolution,[],[f829,f614]) ).
fof(f614,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK8(X1)),v_L)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f571]) ).
fof(f829,plain,
! [X10,X8,X9] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X9,sK8(X8)),v_L)
| ~ sP4(X10,X8)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X8,X9),v_L) ),
inference(resolution,[],[f596,f612]) ).
fof(f612,plain,
! [X0,X1] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,sK8(X1)),v_L)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f571]) ).
fof(f709,plain,
( sP4(sK11,sK10)
| ~ spl32_4 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f707,plain,
( spl32_4
<=> sP4(sK11,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).
fof(f1232,plain,
( spl32_34
| spl32_35
| spl32_33
| ~ spl32_3 ),
inference(avatar_split_clause,[],[f1213,f703,f1217,f1224,f1220]) ).
fof(f1213,plain,
( ! [X0,X1] :
( ~ sP3(sK11,X1)
| ~ sP0(sK9(sK11),X0)
| v_x = sK11 )
| ~ spl32_3 ),
inference(resolution,[],[f1183,f873]) ).
fof(f1183,plain,
( ! [X0,X1] :
( ~ sP0(X0,sK11)
| ~ sP0(X0,X1) )
| ~ spl32_3 ),
inference(resolution,[],[f992,f824]) ).
fof(f824,plain,
( sP3(sK11,v_y)
| ~ spl32_3 ),
inference(backward_demodulation,[],[f705,f744]) ).
fof(f744,plain,
( v_y = sK10
| ~ spl32_3 ),
inference(resolution,[],[f705,f620]) ).
fof(f992,plain,
! [X31,X32,X30,X33] :
( ~ sP3(X32,X33)
| ~ sP0(X30,X32)
| ~ sP0(X30,X31) ),
inference(resolution,[],[f877,f632]) ).
fof(f632,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f581]) ).
fof(f581,plain,
! [X0,X1] :
( ( v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,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,v_x,X0),v_L) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f580]) ).
fof(f580,plain,
! [X4,X3] :
( ( v_y != X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X4),v_L) )
| ~ sP0(X4,X3) ),
inference(nnf_transformation,[],[f549]) ).
fof(f549,plain,
! [X4,X3] :
( ( v_y != X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X4),v_L) )
| ~ sP0(X4,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f877,plain,
! [X10,X11,X12,X13] :
( ~ c_member(tc_prod(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)
| ~ sP0(X11,X12)
| ~ sP3(X10,X13) ),
inference(resolution,[],[f831,f621]) ).
fof(f831,plain,
! [X14,X15,X13] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X13),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,X13,X14),v_L)
| ~ sP0(X14,X15) ),
inference(resolution,[],[f596,f631]) ).
fof(f631,plain,
! [X0,X1] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f581]) ).
fof(f823,plain,
( spl32_22
| spl32_15
| spl32_21
| ~ spl32_1 ),
inference(avatar_split_clause,[],[f822,f695,f803,f777,f809]) ).
fof(f822,plain,
( ~ sP5
| v_y = sK7
| v_y = sK6
| sK7 = sK6 ),
inference(subsumption_resolution,[],[f759,f604]) ).
fof(f604,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,sK6),v_L)
| v_y = sK6
| v_y = sK7
| ~ sP5 ),
inference(cnf_transformation,[],[f567]) ).
fof(f759,plain,
( ~ sP5
| sK7 = 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,sK7,sK6),v_L)
| v_y = sK7
| v_y = sK6 ),
inference(resolution,[],[f598,f601]) ).
fof(f601,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,sK7),v_L)
| v_y = sK6
| v_y = sK7
| ~ sP5 ),
inference(cnf_transformation,[],[f567]) ).
fof(f598,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
| X0 = X1 ),
inference(cnf_transformation,[],[f562]) ).
fof(f821,plain,
( ~ spl32_1
| spl32_21
| spl32_20
| spl32_23
| spl32_24 ),
inference(avatar_split_clause,[],[f761,f818,f814,f799,f803,f695]) ).
fof(f761,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK7),v_L)
| sP22(sK6)
| v_x = sK7
| v_y = sK7
| ~ sP5 ),
inference(resolution,[],[f598,f663]) ).
fof(f663,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_x),v_L)
| v_y = sK7
| sP22(sK6)
| ~ sP5 ),
inference(inequality_splitting,[],[f602,f662]) ).
fof(f602,plain,
( v_y != sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK7,v_x),v_L)
| v_y = sK7
| ~ sP5 ),
inference(cnf_transformation,[],[f567]) ).
fof(f789,plain,
( spl32_14
| ~ spl32_1
| spl32_15
| spl32_16
| spl32_17 ),
inference(avatar_split_clause,[],[f760,f786,f782,f777,f695,f773]) ).
fof(f760,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK6),v_L)
| sP19(sK7)
| v_y = sK6
| ~ sP5
| v_x = sK6 ),
inference(resolution,[],[f598,f658]) ).
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,sK6,v_x),v_L)
| v_y = sK6
| ~ sP5
| sP19(sK7) ),
inference(inequality_splitting,[],[f605,f657]) ).
fof(f605,plain,
( v_y != sK7
| v_y = sK6
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK6,v_x),v_L)
| ~ sP5 ),
inference(cnf_transformation,[],[f567]) ).
fof(f728,plain,
( spl32_1
| spl32_6
| spl32_4
| spl32_5
| spl32_3
| spl32_8 ),
inference(avatar_split_clause,[],[f637,f725,f703,f712,f707,f716,f695]) ).
fof(f637,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,sK12),v_L)
| sP3(sK11,sK10)
| sP1(sK11,sK10,sK12)
| sP4(sK11,sK10)
| sP2(sK10,sK12,sK11)
| sP5 ),
inference(cnf_transformation,[],[f585]) ).
fof(f585,plain,
( sP5
| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L)
& ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK12),v_L)
& c_member(tc_prod(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,sK12),v_L)
& v_y != sK12 )
| sP2(sK10,sK12,sK11)
| sP1(sK11,sK10,sK12) )
& v_y != sK11
& v_y != sK10 )
| sP4(sK11,sK10)
| sP3(sK11,sK10) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12])],[f582,f584,f583]) ).
fof(f583,plain,
( ? [X0,X1] :
( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
& ? [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)
& v_y != X2 )
| sP2(X0,X2,X1)
| sP1(X1,X0,X2) )
& v_y != X1
& v_y != X0 )
| sP4(X1,X0)
| 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,sK10,sK11),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,sK10,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,sK11,X2),v_L)
& v_y != X2 )
| sP2(sK10,X2,sK11)
| sP1(sK11,sK10,X2) )
& v_y != sK11
& v_y != sK10 )
| sP4(sK11,sK10)
| sP3(sK11,sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f584,plain,
( ? [X2] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,X2),v_L)
& c_member(tc_prod(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,X2),v_L)
& v_y != X2 )
| sP2(sK10,X2,sK11)
| sP1(sK11,sK10,X2) )
=> ( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK12),v_L)
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK11,sK12),v_L)
& v_y != sK12 )
| sP2(sK10,sK12,sK11)
| sP1(sK11,sK10,sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f582,plain,
( sP5
| ? [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)
& ? [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)
& v_y != X2 )
| sP2(X0,X2,X1)
| sP1(X1,X0,X2) )
& v_y != X1
& v_y != X0 )
| sP4(X1,X0)
| sP3(X1,X0) ) ),
inference(rectify,[],[f555]) ).
fof(f555,plain,
( sP5
| ? [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)
& ? [X5] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),v_L)
& c_member(tc_prod(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)
& v_y != X5 )
| sP2(X2,X5,X3)
| sP1(X3,X2,X5) )
& v_y != X3
& v_y != X2 )
| sP4(X3,X2)
| sP3(X3,X2) ) ),
inference(definition_folding,[],[f547,f554,f553,f552,f551,f550,f549]) ).
fof(f547,plain,
( ? [X1,X0] :
( ( v_y != X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L) )
& X0 != X1
& ( v_y != 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_x,X1),v_L)
| v_y != X0
| v_y = X1 )
& ( v_y != X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L) )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
| v_y = X1 )
& ( v_x != X0
| v_y != X1 )
& ( v_y != X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y = X0 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) ) )
| ? [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)
& ? [X5] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),v_L)
& c_member(tc_prod(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)
& v_y != X5 )
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X5
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_x != X2 )
| ( v_x = X3
& v_x != X2
& v_y = X5
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L) ) )
& v_y != X3
& v_y != X2 )
| ( v_y = X3
& ? [X6] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X6),v_L)
& v_y != X6
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) )
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y != X2 )
| ( v_y != X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L)
& v_y = X2
& ? [X4] :
( ( v_y != X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L)
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X4),v_L) )
| ( v_y = X4
& v_x = X3 )
| ( v_y = X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L) ) ) ) ) ),
inference(flattening,[],[f546]) ).
fof(f546,plain,
( ? [X2,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,X2,X5),v_L)
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X5),v_L)
& v_y != X5 )
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_x != X2
& v_x = X3
& v_y = X5 )
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_x != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_y = X5 ) )
& v_y != X3
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L) )
| ( ? [X6] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L)
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X6),v_L)
& v_y != X6 )
& v_y != X2
& v_y = X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L) )
| ( ? [X4] :
( ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X4),v_L)
& v_y != X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) )
| ( v_y = X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L) )
| ( v_y = X4
& v_x = X3 ) )
& v_y = X2
& v_y != X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L) ) )
| ? [X1,X0] :
( ( v_x != X0
| v_y != X1 )
& ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X1),v_L)
| v_y != X0
| v_y = X1 )
& ( v_y != X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y = X0 )
& ( v_y != X0
| v_x != X1 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X0),v_L) )
& ( v_y != X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L) )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
| v_y = X1 )
& ( v_y != X0
| v_y = X1
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L) )
& X0 != X1 ) ),
inference(ennf_transformation,[],[f530]) ).
fof(f530,plain,
~ ( ! [X2,X3] :
( ( ( v_y != X3
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L) )
=> ! [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)
& v_y != X5 )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X5),v_L) )
& ( ( v_x = X3
& v_y = X5 )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) )
& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& v_y = X5 )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) ) ) )
& ( ( v_y != X2
& v_y = X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L) )
=> ! [X6] :
( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X6),v_L)
& v_y != X6 )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X6),v_L) ) )
& ( ( v_y = X2
& v_y != X3
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L) )
=> ! [X4] :
( ( ( v_y != X4
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X4),v_L) )
& ( v_y = X4
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L) )
& ( v_x = X3
=> v_y != X4 ) ) ) )
& ! [X1,X0] :
( X0 != X1
=> ( ( v_x = X0
& v_y = X1 )
| ( v_y != X1
& v_y = X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,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_x),v_L)
& v_y = X1
& v_y != X0 )
| ( v_y = 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,X0),v_L)
& v_y != X0
& v_y != X1 )
| ( v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X0),v_L)
& v_y = X1 )
| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L)
& v_y != X0
& v_y != X1 )
| ( v_y != X1
& v_y = X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L) ) ) ) ),
inference(rectify,[],[f529]) ).
fof(f529,negated_conjecture,
~ ( ! [X35,X2] :
( X2 != X35
=> ( ( v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L)
& v_y = X2 )
| ( v_y = X2
& v_x = X35 )
| ( v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X35 )
| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X2),v_L)
& v_y != X2
& v_y != X35 )
| ( v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L)
& v_y = X2 )
| ( v_y = X35
& v_x = X2 )
| ( v_y != X35
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L) )
| ( v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X2),v_L)
& v_y = X35 ) ) )
& ! [X2,X35] :
( ( ( v_y = X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L)
& v_y != X35 )
=> ! [X34] :
( ( v_y = X34
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L) )
& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),v_L)
& v_y != X34 )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X34),v_L) )
& ( v_x = X35
=> v_y != X34 ) ) )
& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L)
& v_y != X2
& v_y != X35 )
=> ! [X34] :
( ( ( v_y = X34
& v_x = X35 )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) )
& ( ( v_y = X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L) )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) )
& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),v_L)
& v_y != X34 )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X34),v_L) ) ) )
& ( ( v_y != X2
& v_y = X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L) )
=> ! [X34] :
( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X34),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X34),v_L) ) ) ) ),
inference(negated_conjecture,[],[f528]) ).
fof(f528,conjecture,
( ! [X35,X2] :
( X2 != X35
=> ( ( v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L)
& v_y = X2 )
| ( v_y = X2
& v_x = X35 )
| ( v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
& v_y = X35 )
| ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X2),v_L)
& v_y != X2
& v_y != X35 )
| ( v_y != X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L)
& v_y = X2 )
| ( v_y = X35
& v_x = X2 )
| ( v_y != X35
& v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L) )
| ( v_y != X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X2),v_L)
& v_y = X35 ) ) )
& ! [X2,X35] :
( ( ( v_y = X2
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L)
& v_y != X35 )
=> ! [X34] :
( ( v_y = X34
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L) )
& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),v_L)
& v_y != X34 )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X34),v_L) )
& ( v_x = X35
=> v_y != X34 ) ) )
& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X35),v_L)
& v_y != X2
& v_y != X35 )
=> ! [X34] :
( ( ( v_y = X34
& v_x = X35 )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) )
& ( ( v_y = X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L) )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| v_x = X2 ) )
& ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),v_L)
& v_y != X34 )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X34),v_L) ) ) )
& ( ( v_y != X2
& v_y = X35
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L) )
=> ! [X34] :
( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X34),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X34),v_L) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f723,plain,
( spl32_1
| spl32_5
| spl32_3
| spl32_6
| spl32_4
| ~ spl32_7 ),
inference(avatar_split_clause,[],[f638,f720,f707,f716,f703,f712,f695]) ).
fof(f638,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK12),v_L)
| sP4(sK11,sK10)
| sP2(sK10,sK12,sK11)
| sP3(sK11,sK10)
| sP1(sK11,sK10,sK12)
| sP5 ),
inference(cnf_transformation,[],[f585]) ).
fof(f710,plain,
( spl32_1
| spl32_2
| spl32_3
| spl32_4 ),
inference(avatar_split_clause,[],[f639,f707,f703,f699,f695]) ).
fof(f639,plain,
( sP4(sK11,sK10)
| sP3(sK11,sK10)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK10,sK11),v_L)
| sP5 ),
inference(cnf_transformation,[],[f585]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SCT117+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 12:34:55 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.53 % (30358)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)
% 0.20/0.53 % (30356)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)
% 0.20/0.53 % (30360)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)
% 0.20/0.53 % (30374)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)
% 0.20/0.53 % (30383)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)
% 0.20/0.54 % (30373)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)
% 0.20/0.54 % (30358)Instruction limit reached!
% 0.20/0.54 % (30358)------------------------------
% 0.20/0.54 % (30358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.54 % (30366)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)
% 1.22/0.54 % (30377)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)
% 1.22/0.54 % (30368)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)
% 1.22/0.54 % (30365)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)
% 1.22/0.54 % (30367)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)
% 1.22/0.55 % (30383)Instruction limit reached!
% 1.22/0.55 % (30383)------------------------------
% 1.22/0.55 % (30383)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.55 % (30368)Instruction limit reached!
% 1.22/0.55 % (30368)------------------------------
% 1.22/0.55 % (30368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.55 % (30368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.55 % (30368)Termination reason: Unknown
% 1.22/0.55 % (30368)Termination phase: Preprocessing 1
% 1.22/0.55
% 1.22/0.55 % (30368)Memory used [KB]: 2174
% 1.22/0.55 % (30368)Time elapsed: 0.006 s
% 1.22/0.55 % (30368)Instructions burned: 4 (million)
% 1.22/0.55 % (30368)------------------------------
% 1.22/0.55 % (30368)------------------------------
% 1.22/0.55 % (30376)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)
% 1.22/0.55 % (30365)Instruction limit reached!
% 1.22/0.55 % (30365)------------------------------
% 1.22/0.55 % (30365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.55 % (30365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.55 % (30365)Termination reason: Unknown
% 1.22/0.55 % (30365)Termination phase: Preprocessing 1
% 1.22/0.55
% 1.22/0.55 % (30365)Memory used [KB]: 2302
% 1.22/0.55 % (30365)Time elapsed: 0.010 s
% 1.22/0.55 % (30365)Instructions burned: 7 (million)
% 1.22/0.55 % (30365)------------------------------
% 1.22/0.55 % (30365)------------------------------
% 1.22/0.55 % (30373)Instruction limit reached!
% 1.22/0.55 % (30373)------------------------------
% 1.22/0.55 % (30373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.22/0.55 % (30358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.55 % (30358)Termination reason: Unknown
% 1.22/0.55 % (30358)Termination phase: Preprocessing 3
% 1.22/0.55
% 1.22/0.56 % (30358)Memory used [KB]: 2814
% 1.22/0.56 % (30358)Time elapsed: 0.010 s
% 1.22/0.56 % (30358)Instructions burned: 15 (million)
% 1.22/0.56 % (30358)------------------------------
% 1.22/0.56 % (30358)------------------------------
% 1.22/0.56 % (30383)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.22/0.56 % (30383)Termination reason: Unknown
% 1.22/0.56 % (30383)Termination phase: Preprocessing 1
% 1.22/0.56
% 1.22/0.56 % (30383)Memory used [KB]: 2430
% 1.22/0.56 % (30383)Time elapsed: 0.005 s
% 1.22/0.56 % (30383)Instructions burned: 8 (million)
% 1.22/0.56 % (30383)------------------------------
% 1.22/0.56 % (30383)------------------------------
% 1.41/0.56 % (30366)Instruction limit reached!
% 1.41/0.56 % (30366)------------------------------
% 1.41/0.56 % (30366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (30373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (30373)Termination reason: Unknown
% 1.41/0.56 % (30373)Termination phase: Preprocessing 3
% 1.41/0.56
% 1.41/0.56 % (30373)Memory used [KB]: 2430
% 1.41/0.56 % (30373)Time elapsed: 0.008 s
% 1.41/0.56 % (30373)Instructions burned: 12 (million)
% 1.41/0.56 % (30373)------------------------------
% 1.41/0.56 % (30373)------------------------------
% 1.41/0.56 % (30363)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)
% 1.41/0.56 % (30366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (30366)Termination reason: Unknown
% 1.41/0.56 % (30366)Termination phase: Preprocessing 3
% 1.41/0.56
% 1.41/0.56 % (30366)Memory used [KB]: 2814
% 1.41/0.56 % (30366)Time elapsed: 0.009 s
% 1.41/0.56 % (30366)Instructions burned: 16 (million)
% 1.41/0.56 % (30366)------------------------------
% 1.41/0.56 % (30366)------------------------------
% 1.41/0.56 % (30374)Instruction limit reached!
% 1.41/0.56 % (30374)------------------------------
% 1.41/0.56 % (30374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.56 % (30374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.56 % (30374)Termination reason: Unknown
% 1.41/0.56 % (30374)Termination phase: Property scanning
% 1.41/0.56
% 1.41/0.56 % (30374)Memory used [KB]: 3198
% 1.41/0.56 % (30374)Time elapsed: 0.019 s
% 1.41/0.56 % (30374)Instructions burned: 31 (million)
% 1.41/0.56 % (30374)------------------------------
% 1.41/0.56 % (30374)------------------------------
% 1.41/0.57 % (30355)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)
% 1.41/0.57 % (30355)Instruction limit reached!
% 1.41/0.57 % (30355)------------------------------
% 1.41/0.57 % (30355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.57 % (30355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.57 % (30355)Termination reason: Unknown
% 1.41/0.57 % (30355)Termination phase: Preprocessing 1
% 1.41/0.57
% 1.41/0.57 % (30355)Memory used [KB]: 2174
% 1.41/0.57 % (30355)Time elapsed: 0.004 s
% 1.41/0.57 % (30355)Instructions burned: 4 (million)
% 1.41/0.57 % (30355)------------------------------
% 1.41/0.57 % (30355)------------------------------
% 1.41/0.57 % (30364)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)
% 1.41/0.58 % (30380)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)
% 1.41/0.58 % (30356)Instruction limit reached!
% 1.41/0.58 % (30356)------------------------------
% 1.41/0.58 % (30356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.58 % (30356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.58 % (30356)Termination reason: Unknown
% 1.41/0.58 % (30356)Termination phase: Saturation
% 1.41/0.58
% 1.41/0.58 % (30356)Memory used [KB]: 7675
% 1.41/0.58 % (30356)Time elapsed: 0.128 s
% 1.41/0.58 % (30356)Instructions burned: 51 (million)
% 1.41/0.58 % (30356)------------------------------
% 1.41/0.58 % (30356)------------------------------
% 1.41/0.58 % (30371)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.41/0.59 % (30371)Instruction limit reached!
% 1.41/0.59 % (30371)------------------------------
% 1.41/0.59 % (30371)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.59 % (30371)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.59 % (30371)Termination reason: Unknown
% 1.41/0.59 % (30371)Termination phase: Preprocessing 1
% 1.41/0.59
% 1.41/0.59 % (30371)Memory used [KB]: 2174
% 1.41/0.59 % (30371)Time elapsed: 0.004 s
% 1.41/0.59 % (30371)Instructions burned: 4 (million)
% 1.41/0.59 % (30371)------------------------------
% 1.41/0.59 % (30371)------------------------------
% 1.41/0.59 % (30362)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)
% 1.41/0.60 % (30357)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)
% 1.41/0.60 % (30360)Instruction limit reached!
% 1.41/0.60 % (30360)------------------------------
% 1.41/0.60 % (30360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.60 % (30360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.60 % (30360)Termination reason: Unknown
% 1.41/0.60 % (30360)Termination phase: Saturation
% 1.41/0.60
% 1.41/0.60 % (30360)Memory used [KB]: 6908
% 1.41/0.60 % (30360)Time elapsed: 0.148 s
% 1.41/0.60 % (30360)Instructions burned: 40 (million)
% 1.41/0.60 % (30360)------------------------------
% 1.41/0.60 % (30360)------------------------------
% 1.41/0.60 % (30354)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)
% 1.41/0.61 % (30382)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)
% 1.41/0.61 % (30370)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)
% 1.41/0.62 % (30363)Instruction limit reached!
% 1.41/0.62 % (30363)------------------------------
% 1.41/0.62 % (30363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.62 % (30363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.62 % (30363)Termination reason: Unknown
% 1.41/0.62 % (30363)Termination phase: Function definition elimination
% 1.41/0.62
% 1.41/0.62 % (30363)Memory used [KB]: 3326
% 1.41/0.62 % (30363)Time elapsed: 0.026 s
% 1.41/0.62 % (30363)Instructions burned: 33 (million)
% 1.41/0.62 % (30363)------------------------------
% 1.41/0.62 % (30363)------------------------------
% 1.41/0.62 % (30364)Instruction limit reached!
% 1.41/0.62 % (30364)------------------------------
% 1.41/0.62 % (30364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.62 % (30364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.62 % (30364)Termination reason: Unknown
% 1.41/0.62 % (30364)Termination phase: Preprocessing 2
% 1.41/0.62
% 1.41/0.62 % (30364)Memory used [KB]: 2686
% 1.41/0.62 % (30364)Time elapsed: 0.011 s
% 1.41/0.62 % (30364)Instructions burned: 12 (million)
% 1.41/0.62 % (30364)------------------------------
% 1.41/0.62 % (30364)------------------------------
% 1.41/0.62 % (30381)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)
% 1.41/0.63 % (30367)Instruction limit reached!
% 1.41/0.63 % (30367)------------------------------
% 1.41/0.63 % (30367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.41/0.63 % (30367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.41/0.63 % (30367)Termination reason: Unknown
% 1.41/0.63 % (30367)Termination phase: Saturation
% 1.41/0.63
% 1.41/0.63 % (30367)Memory used [KB]: 7419
% 1.41/0.63 % (30367)Time elapsed: 0.191 s
% 1.41/0.63 % (30367)Instructions burned: 51 (million)
% 1.41/0.63 % (30367)------------------------------
% 1.41/0.63 % (30367)------------------------------
% 1.86/0.63 % (30372)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)
% 1.86/0.63 % (30372)Instruction limit reached!
% 1.86/0.63 % (30372)------------------------------
% 1.86/0.63 % (30372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.63 % (30372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.63 % (30372)Termination reason: Unknown
% 1.86/0.63 % (30372)Termination phase: SInE selection
% 1.86/0.63
% 1.86/0.63 % (30372)Memory used [KB]: 1918
% 1.86/0.63 % (30372)Time elapsed: 0.004 s
% 1.86/0.63 % (30372)Instructions burned: 2 (million)
% 1.86/0.63 % (30372)------------------------------
% 1.86/0.63 % (30372)------------------------------
% 1.86/0.64 % (30354)Instruction limit reached!
% 1.86/0.64 % (30354)------------------------------
% 1.86/0.64 % (30354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.64 % (30354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.64 % (30354)Termination reason: Unknown
% 1.86/0.64 % (30354)Termination phase: Saturation
% 1.86/0.64
% 1.86/0.64 % (30354)Memory used [KB]: 6780
% 1.86/0.64 % (30354)Time elapsed: 0.012 s
% 1.86/0.64 % (30354)Instructions burned: 13 (million)
% 1.86/0.64 % (30354)------------------------------
% 1.86/0.64 % (30354)------------------------------
% 1.86/0.64 % (30357)Instruction limit reached!
% 1.86/0.64 % (30357)------------------------------
% 1.86/0.64 % (30357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.64 % (30357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.64 % (30357)Termination reason: Unknown
% 1.86/0.64 % (30357)Termination phase: Clausification
% 1.86/0.64
% 1.86/0.64 % (30357)Memory used [KB]: 6652
% 1.86/0.64 % (30357)Time elapsed: 0.013 s
% 1.86/0.64 % (30357)Instructions burned: 13 (million)
% 1.86/0.64 % (30357)------------------------------
% 1.86/0.64 % (30357)------------------------------
% 1.86/0.65 % (30379)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)
% 1.86/0.65 % (30469)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 1.86/0.67 % (30469)Instruction limit reached!
% 1.86/0.67 % (30469)------------------------------
% 1.86/0.67 % (30469)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.67 % (30469)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.67 % (30469)Termination reason: Unknown
% 1.86/0.67 % (30469)Termination phase: Property scanning
% 1.86/0.67
% 1.86/0.67 % (30469)Memory used [KB]: 3454
% 1.86/0.67 % (30469)Time elapsed: 0.021 s
% 1.86/0.67 % (30469)Instructions burned: 32 (million)
% 1.86/0.67 % (30469)------------------------------
% 1.86/0.67 % (30469)------------------------------
% 2.02/0.68 % (30361)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)
% 2.02/0.69 % (30382)Instruction limit reached!
% 2.02/0.69 % (30382)------------------------------
% 2.02/0.69 % (30382)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.69 % (30382)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.69 % (30382)Termination reason: Unknown
% 2.02/0.69 % (30382)Termination phase: Preprocessing 3
% 2.02/0.69
% 2.02/0.69 % (30382)Memory used [KB]: 3198
% 2.02/0.69 % (30382)Time elapsed: 0.022 s
% 2.02/0.69 % (30382)Instructions burned: 25 (million)
% 2.02/0.69 % (30382)------------------------------
% 2.02/0.69 % (30382)------------------------------
% 2.02/0.71 % (30370)Instruction limit reached!
% 2.02/0.71 % (30370)------------------------------
% 2.02/0.71 % (30370)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.71 % (30370)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.71 % (30370)Termination reason: Unknown
% 2.02/0.71 % (30370)Termination phase: Property scanning
% 2.02/0.71
% 2.02/0.71 % (30370)Memory used [KB]: 3582
% 2.02/0.71 % (30370)Time elapsed: 0.035 s
% 2.02/0.71 % (30370)Instructions burned: 50 (million)
% 2.02/0.71 % (30370)------------------------------
% 2.02/0.71 % (30370)------------------------------
% 2.02/0.71 % (30376)Instruction limit reached!
% 2.02/0.71 % (30376)------------------------------
% 2.02/0.71 % (30376)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.71 % (30376)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.71 % (30376)Termination reason: Unknown
% 2.02/0.71 % (30376)Termination phase: Saturation
% 2.02/0.71
% 2.02/0.71 % (30376)Memory used [KB]: 9466
% 2.02/0.71 % (30376)Time elapsed: 0.068 s
% 2.02/0.71 % (30376)Instructions burned: 99 (million)
% 2.02/0.71 % (30376)------------------------------
% 2.02/0.71 % (30376)------------------------------
% 2.02/0.71 % (30362)Instruction limit reached!
% 2.02/0.71 % (30362)------------------------------
% 2.02/0.71 % (30362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.71 % (30362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.71 % (30362)Termination reason: Unknown
% 2.02/0.71 % (30362)Termination phase: Saturation
% 2.02/0.71
% 2.02/0.71 % (30362)Memory used [KB]: 7164
% 2.02/0.71 % (30362)Time elapsed: 0.259 s
% 2.02/0.71 % (30362)Instructions burned: 49 (million)
% 2.02/0.71 % (30362)------------------------------
% 2.02/0.71 % (30362)------------------------------
% 2.02/0.72 % (30378)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)
% 2.02/0.72 % (30353)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 2.02/0.72 % (30377)Instruction limit reached!
% 2.02/0.72 % (30377)------------------------------
% 2.02/0.72 % (30377)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.72 % (30377)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.72 % (30377)Termination reason: Unknown
% 2.02/0.72 % (30377)Termination phase: Property scanning
% 2.02/0.72
% 2.02/0.72 % (30377)Memory used [KB]: 13176
% 2.02/0.72 % (30379)Instruction limit reached!
% 2.02/0.72 % (30379)------------------------------
% 2.02/0.72 % (30379)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.72 % (30377)Time elapsed: 0.059 s
% 2.02/0.72 % (30377)Instructions burned: 83 (million)
% 2.02/0.72 % (30379)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.72 % (30377)------------------------------
% 2.02/0.72 % (30377)------------------------------
% 2.02/0.72 % (30379)Termination reason: Unknown
% 2.02/0.72 % (30379)Termination phase: Property scanning
% 2.02/0.72
% 2.02/0.72 % (30379)Memory used [KB]: 3454
% 2.02/0.72 % (30379)Time elapsed: 0.034 s
% 2.02/0.72 % (30379)Instructions burned: 50 (million)
% 2.02/0.72 % (30379)------------------------------
% 2.02/0.72 % (30379)------------------------------
% 2.02/0.73 % (30478)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/149Mi)
% 2.02/0.73 % (30384)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)
% 2.34/0.75 % (30467)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)
% 2.34/0.76 % (30369)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)
% 2.34/0.76 % (30380)Instruction limit reached!
% 2.34/0.76 % (30380)------------------------------
% 2.34/0.76 % (30380)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.76 % (30380)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.76 % (30380)Termination reason: Unknown
% 2.34/0.76 % (30380)Termination phase: Saturation
% 2.34/0.76
% 2.34/0.76 % (30380)Memory used [KB]: 8699
% 2.34/0.76 % (30380)Time elapsed: 0.071 s
% 2.34/0.76 % (30380)Instructions burned: 96 (million)
% 2.34/0.76 % (30380)------------------------------
% 2.34/0.76 % (30380)------------------------------
% 2.37/0.77 % (30470)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)
% 2.37/0.78 % (30433)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)
% 2.37/0.78 % (30369)Instruction limit reached!
% 2.37/0.78 % (30369)------------------------------
% 2.37/0.78 % (30369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.78 % (30369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.78 % (30369)Termination reason: Unknown
% 2.37/0.78 % (30369)Termination phase: Preprocessing 1
% 2.37/0.78
% 2.37/0.78 % (30369)Memory used [KB]: 2302
% 2.37/0.78 % (30369)Time elapsed: 0.007 s
% 2.37/0.78 % (30369)Instructions burned: 7 (million)
% 2.37/0.78 % (30369)------------------------------
% 2.37/0.78 % (30369)------------------------------
% 2.37/0.78 % (30471)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)
% 2.37/0.79 % (30434)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/69Mi)
% 2.37/0.80 % (30472)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)
% 2.37/0.82 % (30361)Instruction limit reached!
% 2.37/0.82 % (30361)------------------------------
% 2.37/0.82 % (30361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.82 % (30361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.82 % (30361)Termination reason: Unknown
% 2.37/0.82 % (30361)Termination phase: Function definition elimination
% 2.37/0.82
% 2.37/0.82 % (30361)Memory used [KB]: 3582
% 2.37/0.82 % (30361)Time elapsed: 0.032 s
% 2.37/0.82 % (30361)Instructions burned: 39 (million)
% 2.37/0.82 % (30361)------------------------------
% 2.37/0.82 % (30361)------------------------------
% 2.37/0.82 % (30466)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.44/0.83 % (30478)Instruction limit reached!
% 2.44/0.83 % (30478)------------------------------
% 2.44/0.83 % (30478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.83 % (30478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.83 % (30478)Termination reason: Unknown
% 2.44/0.83 % (30478)Termination phase: Saturation
% 2.44/0.83
% 2.44/0.83 % (30478)Memory used [KB]: 9083
% 2.44/0.83 % (30478)Time elapsed: 0.102 s
% 2.44/0.83 % (30478)Instructions burned: 149 (million)
% 2.44/0.83 % (30478)------------------------------
% 2.44/0.83 % (30478)------------------------------
% 2.44/0.84 % (30384)Instruction limit reached!
% 2.44/0.84 % (30384)------------------------------
% 2.44/0.84 % (30384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.84 % (30384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.84 % (30384)Termination reason: Unknown
% 2.44/0.84 % (30384)Termination phase: Clausification
% 2.44/0.84
% 2.44/0.84 % (30384)Memory used [KB]: 3965
% 2.44/0.84 % (30384)Time elapsed: 0.021 s
% 2.44/0.84 % (30384)Instructions burned: 24 (million)
% 2.44/0.84 % (30384)------------------------------
% 2.44/0.84 % (30384)------------------------------
% 2.44/0.85 % (30431)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)
% 2.44/0.85 % (30470)Instruction limit reached!
% 2.44/0.85 % (30470)------------------------------
% 2.44/0.85 % (30470)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.44/0.85 % (30470)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.44/0.85 % (30470)Termination reason: Unknown
% 2.44/0.85 % (30470)Termination phase: Saturation
% 2.44/0.85
% 2.44/0.85 % (30470)Memory used [KB]: 8187
% 2.44/0.85 % (30470)Time elapsed: 0.044 s
% 2.44/0.85 % (30470)Instructions burned: 68 (million)
% 2.44/0.85 % (30470)------------------------------
% 2.44/0.85 % (30470)------------------------------
% 2.74/0.87 % (30432)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)
% 2.74/0.87 % (30378)Instruction limit reached!
% 2.74/0.87 % (30378)------------------------------
% 2.74/0.87 % (30378)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.87 % (30378)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.87 % (30378)Termination reason: Unknown
% 2.74/0.87 % (30378)Termination phase: Property scanning
% 2.74/0.87
% 2.74/0.87 % (30378)Memory used [KB]: 3582
% 2.74/0.87 % (30378)Time elapsed: 0.036 s
% 2.74/0.87 % (30378)Instructions burned: 46 (million)
% 2.74/0.87 % (30378)------------------------------
% 2.74/0.87 % (30378)------------------------------
% 2.74/0.88 % (30480)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 (2996ds/19Mi)
% 2.74/0.89 % (30474)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)
% 2.74/0.89 % (30443)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)
% 2.74/0.90 % (30468)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.74/0.90 % (30482)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=237:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/237Mi)
% 2.74/0.90 % (30432)Instruction limit reached!
% 2.74/0.90 % (30432)------------------------------
% 2.74/0.90 % (30432)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.90 % (30432)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.90 % (30432)Termination reason: Unknown
% 2.74/0.90 % (30432)Termination phase: Saturation
% 2.74/0.90
% 2.74/0.90 % (30432)Memory used [KB]: 2046
% 2.74/0.90 % (30432)Time elapsed: 0.007 s
% 2.74/0.90 % (30432)Instructions burned: 7 (million)
% 2.74/0.90 % (30432)------------------------------
% 2.74/0.90 % (30432)------------------------------
% 2.74/0.90 % (30481)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 (2996ds/341Mi)
% 2.74/0.90 % (30472)Instruction limit reached!
% 2.74/0.90 % (30472)------------------------------
% 2.74/0.90 % (30472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.90 % (30472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.90 % (30472)Termination reason: Unknown
% 2.74/0.90 % (30472)Termination phase: Saturation
% 2.74/0.90
% 2.74/0.90 % (30472)Memory used [KB]: 9210
% 2.74/0.90 % (30472)Time elapsed: 0.227 s
% 2.74/0.90 % (30472)Instructions burned: 132 (million)
% 2.74/0.90 % (30472)------------------------------
% 2.74/0.90 % (30472)------------------------------
% 2.74/0.91 % (30483)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 (2996ds/10Mi)
% 2.74/0.91 % (30473)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)
% 2.74/0.92 % (30483)Instruction limit reached!
% 2.74/0.92 % (30483)------------------------------
% 2.74/0.92 % (30483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.92 % (30483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.92 % (30483)Termination reason: Unknown
% 2.74/0.92 % (30483)Termination phase: Saturation
% 2.74/0.92
% 2.74/0.92 % (30483)Memory used [KB]: 6652
% 2.74/0.92 % (30483)Time elapsed: 0.008 s
% 2.74/0.92 % (30483)Instructions burned: 10 (million)
% 2.74/0.92 % (30483)------------------------------
% 2.74/0.92 % (30483)------------------------------
% 2.74/0.92 % (30475)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)
% 2.99/0.93 % (30480)Instruction limit reached!
% 2.99/0.93 % (30480)------------------------------
% 2.99/0.93 % (30480)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.93 % (30480)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.93 % (30480)Termination reason: Unknown
% 2.99/0.93 % (30480)Termination phase: Preprocessing 3
% 2.99/0.93
% 2.99/0.93 % (30480)Memory used [KB]: 3198
% 2.99/0.93 % (30480)Time elapsed: 0.016 s
% 2.99/0.93 % (30480)Instructions burned: 20 (million)
% 2.99/0.93 % (30480)------------------------------
% 2.99/0.93 % (30480)------------------------------
% 2.99/0.93 % (30381)Instruction limit reached!
% 2.99/0.93 % (30381)------------------------------
% 2.99/0.93 % (30381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.93 % (30381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.93 % (30381)Termination reason: Unknown
% 2.99/0.93 % (30381)Termination phase: Saturation
% 2.99/0.93
% 2.99/0.93 % (30381)Memory used [KB]: 5373
% 2.99/0.93 % (30381)Time elapsed: 0.081 s
% 2.99/0.93 % (30381)Instructions burned: 99 (million)
% 2.99/0.93 % (30381)------------------------------
% 2.99/0.93 % (30381)------------------------------
% 2.99/0.94 % (30471)Instruction limit reached!
% 2.99/0.94 % (30471)------------------------------
% 2.99/0.94 % (30471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.99/0.94 % (30471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.99/0.94 % (30471)Termination reason: Unknown
% 2.99/0.94 % (30471)Termination phase: Property scanning
% 2.99/0.94
% 2.99/0.94 % (30471)Memory used [KB]: 3965
% 2.99/0.94 % (30471)Time elapsed: 0.054 s
% 2.99/0.94 % (30471)Instructions burned: 85 (million)
% 2.99/0.94 % (30471)------------------------------
% 2.99/0.94 % (30471)------------------------------
% 2.99/0.94 % (30477)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)
% 2.99/0.96 % (30495)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/488Mi)
% 3.25/0.97 % (30476)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 3.25/0.97 % (30467)Instruction limit reached!
% 3.25/0.97 % (30467)------------------------------
% 3.25/0.97 % (30467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.97 % (30467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.97 % (30467)Termination reason: Unknown
% 3.25/0.97 % (30467)Termination phase: Saturation
% 3.25/0.97
% 3.25/0.97 % (30467)Memory used [KB]: 8827
% 3.25/0.97 % (30467)Time elapsed: 0.337 s
% 3.25/0.97 % (30467)Instructions burned: 142 (million)
% 3.25/0.97 % (30467)------------------------------
% 3.25/0.97 % (30467)------------------------------
% 3.25/0.98 % (30434)Instruction limit reached!
% 3.25/0.98 % (30434)------------------------------
% 3.25/0.98 % (30434)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.98 % (30434)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.98 % (30434)Termination reason: Unknown
% 3.25/0.98 % (30434)Termination phase: Saturation
% 3.25/0.98
% 3.25/0.98 % (30434)Memory used [KB]: 4221
% 3.25/0.98 % (30434)Time elapsed: 0.051 s
% 3.25/0.98 % (30434)Instructions burned: 70 (million)
% 3.25/0.98 % (30434)------------------------------
% 3.25/0.98 % (30434)------------------------------
% 3.25/0.98 % (30466)Instruction limit reached!
% 3.25/0.98 % (30466)------------------------------
% 3.25/0.98 % (30466)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/0.98 % (30466)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/0.98 % (30466)Termination reason: Unknown
% 3.25/0.98 % (30466)Termination phase: Saturation
% 3.25/0.98
% 3.25/0.98 % (30466)Memory used [KB]: 7164
% 3.25/0.98 % (30466)Time elapsed: 0.344 s
% 3.25/0.98 % (30466)Instructions burned: 56 (million)
% 3.25/0.98 % (30466)------------------------------
% 3.25/0.98 % (30466)------------------------------
% 3.25/1.01 % (30479)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/66Mi)
% 3.25/1.01 % (30481)First to succeed.
% 3.25/1.02 % (30481)Refutation found. Thanks to Tanya!
% 3.25/1.02 % SZS status Theorem for theBenchmark
% 3.25/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 3.25/1.02 % (30481)------------------------------
% 3.25/1.02 % (30481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.25/1.02 % (30481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.25/1.02 % (30481)Termination reason: Refutation
% 3.25/1.02
% 3.25/1.02 % (30481)Memory used [KB]: 7675
% 3.25/1.02 % (30481)Time elapsed: 0.236 s
% 3.25/1.02 % (30481)Instructions burned: 65 (million)
% 3.25/1.02 % (30481)------------------------------
% 3.25/1.02 % (30481)------------------------------
% 3.25/1.02 % (30323)Success in time 0.667 s
%------------------------------------------------------------------------------