TSTP Solution File: SCT146+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SCT146+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_sat --cores 0 -t %d %s
% Computer : n010.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 18:17:59 EDT 2022
% Result : Theorem 3.36s 0.96s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 28
% Syntax : Number of formulae : 186 ( 22 unt; 0 def)
% Number of atoms : 368 ( 21 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 344 ( 162 ~; 162 |; 7 &)
% ( 11 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 28 con; 0-2 aty)
% Number of variables : 77 ( 74 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4183,plain,
$false,
inference(avatar_sat_refutation,[],[f3391,f3713,f4149,f4182]) ).
fof(f4182,plain,
( spl113_5
| ~ spl113_6 ),
inference(avatar_contradiction_clause,[],[f4181]) ).
fof(f4181,plain,
( $false
| spl113_5
| ~ spl113_6 ),
inference(subsumption_resolution,[],[f4180,f3386]) ).
fof(f3386,plain,
( ~ hBOOL(sF108)
| spl113_5 ),
inference(avatar_component_clause,[],[f3384]) ).
fof(f3384,plain,
( spl113_5
<=> hBOOL(sF108) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_5])]) ).
fof(f4180,plain,
( hBOOL(sF108)
| ~ spl113_6 ),
inference(forward_demodulation,[],[f4179,f3241]) ).
fof(f3241,plain,
sF108 = hAPP(sF97,sF107),
introduced(function_definition,[]) ).
fof(f4179,plain,
( hBOOL(hAPP(sF97,sF107))
| ~ spl113_6 ),
inference(forward_demodulation,[],[f4178,f3240]) ).
fof(f3240,plain,
sF107 = hAPP(sF106,v_c____),
introduced(function_definition,[]) ).
fof(f4178,plain,
( hBOOL(hAPP(sF97,hAPP(sF106,v_c____)))
| ~ spl113_6 ),
inference(forward_demodulation,[],[f4177,f3239]) ).
fof(f3239,plain,
sF106 = hAPP(sF105,v_a____),
introduced(function_definition,[]) ).
fof(f4177,plain,
( hBOOL(hAPP(sF97,hAPP(hAPP(sF105,v_a____),v_c____)))
| ~ spl113_6 ),
inference(forward_demodulation,[],[f4176,f3238]) ).
fof(f3238,plain,
sF105 = hAPP(c_Arrow__Order__Mirabelle_Obelow,sF104),
introduced(function_definition,[]) ).
fof(f4176,plain,
( hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF104),v_a____),v_c____)))
| ~ spl113_6 ),
inference(forward_demodulation,[],[f4175,f3237]) ).
fof(f3237,plain,
sF104 = hAPP(sF103,v_a____),
introduced(function_definition,[]) ).
fof(f4175,plain,
( hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF103,v_a____)),v_a____),v_c____)))
| ~ spl113_6 ),
inference(subsumption_resolution,[],[f4174,f4158]) ).
fof(f4158,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),sF104))
| ~ spl113_6 ),
inference(forward_demodulation,[],[f4157,f3237]) ).
fof(f4157,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(sF103,v_a____)))
| ~ spl113_6 ),
inference(forward_demodulation,[],[f4156,f3236]) ).
fof(f3236,plain,
hAPP(sF102,v_b____) = sF103,
introduced(function_definition,[]) ).
fof(f4156,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(sF102,v_b____),v_a____)))
| ~ spl113_6 ),
inference(forward_demodulation,[],[f4155,f3235]) ).
fof(f3235,plain,
sF102 = hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),
introduced(function_definition,[]) ).
fof(f4155,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),v_b____),v_a____)))
| ~ spl113_6 ),
inference(forward_demodulation,[],[f4154,f3234]) ).
fof(f3234,plain,
sF101 = hAPP(sF100,v_b____),
introduced(function_definition,[]) ).
fof(f4154,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF100,v_b____)),v_b____),v_a____)))
| ~ spl113_6 ),
inference(forward_demodulation,[],[f4153,f3233]) ).
fof(f3233,plain,
hAPP(sF99,v_c____) = sF100,
introduced(function_definition,[]) ).
fof(f4153,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____)))
| ~ spl113_6 ),
inference(subsumption_resolution,[],[f3989,f4151]) ).
fof(f4151,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),sF101))
| ~ spl113_6 ),
inference(subsumption_resolution,[],[f4150,f3389]) ).
fof(f3389,plain,
( hBOOL(sF112)
| ~ spl113_6 ),
inference(avatar_component_clause,[],[f3388]) ).
fof(f3388,plain,
( spl113_6
<=> hBOOL(sF112) ),
introduced(avatar_definition,[new_symbols(naming,[spl113_6])]) ).
fof(f4150,plain,
( ~ hBOOL(sF112)
| hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),sF101)) ),
inference(forward_demodulation,[],[f3905,f3245]) ).
fof(f3245,plain,
hAPP(sF111,sF98) = sF112,
introduced(function_definition,[]) ).
fof(f3905,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),sF101))
| ~ hBOOL(hAPP(sF111,sF98)) ),
inference(forward_demodulation,[],[f3904,f3234]) ).
fof(f3904,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(sF100,v_b____)))
| ~ hBOOL(hAPP(sF111,sF98)) ),
inference(forward_demodulation,[],[f3903,f3233]) ).
fof(f3903,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(sF99,v_c____),v_b____)))
| ~ hBOOL(hAPP(sF111,sF98)) ),
inference(forward_demodulation,[],[f3902,f3232]) ).
fof(f3232,plain,
hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98) = sF99,
introduced(function_definition,[]) ).
fof(f3902,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)))
| ~ hBOOL(hAPP(sF111,sF98)) ),
inference(superposition,[],[f3772,f3231]) ).
fof(f3231,plain,
sF98 = hAPP(v_P____,sK39),
introduced(function_definition,[]) ).
fof(f3772,plain,
! [X0] :
( ~ hBOOL(hAPP(sF111,hAPP(v_P____,X0)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(backward_demodulation,[],[f3512,f3244]) ).
fof(f3244,plain,
sF111 = hAPP(sF93,sF110),
introduced(function_definition,[]) ).
fof(f3512,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF93,sF110),hAPP(v_P____,X0)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3511,f3226]) ).
fof(f3226,plain,
c_member(sF92) = sF93,
introduced(function_definition,[]) ).
fof(f3511,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(sF93,sF110),hAPP(v_P____,X0))) ),
inference(forward_demodulation,[],[f3510,f3225]) ).
fof(f3225,plain,
tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF92,
introduced(function_definition,[]) ).
fof(f3510,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF93,sF110),hAPP(v_P____,X0)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3440,f3226]) ).
fof(f3440,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(sF92),sF110),hAPP(v_P____,X0)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(backward_demodulation,[],[f3342,f3225]) ).
fof(f3342,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sF110),hAPP(v_P____,X0)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3341,f3243]) ).
fof(f3243,plain,
sF110 = hAPP(sF109,v_b____),
introduced(function_definition,[]) ).
fof(f3341,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_b____)),hAPP(v_P____,X0))) ),
inference(forward_demodulation,[],[f3340,f3242]) ).
fof(f3242,plain,
sF109 = hAPP(sF94,v_a____),
introduced(function_definition,[]) ).
fof(f3340,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_b____)),hAPP(v_P____,X0))) ),
inference(forward_demodulation,[],[f3339,f3227]) ).
fof(f3227,plain,
c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF94,
introduced(function_definition,[]) ).
fof(f3339,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_b____)),hAPP(v_P____,X0))) ),
inference(forward_demodulation,[],[f3338,f3242]) ).
fof(f3338,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_a____),v_b____)),hAPP(v_P____,X0)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f2651,f3227]) ).
fof(f2651,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(cnf_transformation,[],[f1886]) ).
fof(f1886,plain,
! [X0] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ) ),
inference(nnf_transformation,[],[f573]) ).
fof(f573,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X3)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X3)),v_c____),v_b____))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096) ).
fof(f3989,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),sF101)) ),
inference(forward_demodulation,[],[f3988,f3234]) ).
fof(f3988,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(sF100,v_b____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3987,f3232]) ).
fof(f3987,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(sF100,v_b____))) ),
inference(forward_demodulation,[],[f3986,f3233]) ).
fof(f3986,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(sF99,v_c____),v_b____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3985,f3232]) ).
fof(f3985,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)),v_b____),v_a____))) ),
inference(superposition,[],[f3456,f3231]) ).
fof(f3456,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3455,f3226]) ).
fof(f3455,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3454,f3225]) ).
fof(f3454,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3441,f3226]) ).
fof(f3441,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(backward_demodulation,[],[f3346,f3225]) ).
fof(f3346,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3345,f3228]) ).
fof(f3228,plain,
sF95 = hAPP(sF94,v_b____),
introduced(function_definition,[]) ).
fof(f3345,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3344,f3242]) ).
fof(f3344,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3343,f3227]) ).
fof(f3343,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f2899,f3227]) ).
fof(f2899,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(cnf_transformation,[],[f2095]) ).
fof(f2095,plain,
! [X0] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ) ),
inference(nnf_transformation,[],[f683]) ).
fof(f683,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X3)),v_c____),v_b____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X3)),v_c____),v_b____)),v_b____),v_a____))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096) ).
fof(f4174,plain,
( hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF103,v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),sF104)) ),
inference(forward_demodulation,[],[f4173,f3237]) ).
fof(f4173,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(sF103,v_a____)))
| hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF103,v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4172,f3236]) ).
fof(f4172,plain,
( hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF102,v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(sF103,v_a____))) ),
inference(forward_demodulation,[],[f4171,f3236]) ).
fof(f4171,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(sF102,v_b____),v_a____)))
| hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF102,v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4170,f3235]) ).
fof(f4170,plain,
( hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(sF102,v_b____),v_a____))) ),
inference(forward_demodulation,[],[f4169,f3235]) ).
fof(f4169,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),v_b____),v_a____)))
| hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4168,f3234]) ).
fof(f4168,plain,
( hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF100,v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f4167,f3234]) ).
fof(f4167,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF100,v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF100,v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4166,f3233]) ).
fof(f4166,plain,
( hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF100,v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f4165,f3233]) ).
fof(f4165,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4164,f3232]) ).
fof(f4164,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4163,f3232]) ).
fof(f4163,plain,
( hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)),v_b____),v_a____))) ),
inference(superposition,[],[f3768,f3231]) ).
fof(f3768,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f3767,f3230]) ).
fof(f3230,plain,
hAPP(sF93,sF96) = sF97,
introduced(function_definition,[]) ).
fof(f3767,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF93,sF96),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3766,f3226]) ).
fof(f3766,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(sF92),sF96),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f3765,f3226]) ).
fof(f3765,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(sF92),sF96),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f3764,f3225]) ).
fof(f3764,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sF96),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3763,f3229]) ).
fof(f3229,plain,
hAPP(sF95,v_a____) = sF96,
introduced(function_definition,[]) ).
fof(f3763,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3762,f3225]) ).
fof(f3762,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f3761,f3228]) ).
fof(f3761,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f3760,f3227]) ).
fof(f3760,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f3759,f3228]) ).
fof(f3759,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f2669,f3227]) ).
fof(f2669,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(cnf_transformation,[],[f1902]) ).
fof(f1902,plain,
! [X0] :
( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ) ),
inference(nnf_transformation,[],[f697]) ).
fof(f697,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X3)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X3)),v_c____),v_b____)),v_b____),v_a____))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_096) ).
fof(f4149,plain,
( ~ spl113_5
| spl113_6 ),
inference(avatar_contradiction_clause,[],[f4148]) ).
fof(f4148,plain,
( $false
| ~ spl113_5
| spl113_6 ),
inference(subsumption_resolution,[],[f4147,f3385]) ).
fof(f3385,plain,
( hBOOL(sF108)
| ~ spl113_5 ),
inference(avatar_component_clause,[],[f3384]) ).
fof(f4147,plain,
( ~ hBOOL(sF108)
| spl113_6 ),
inference(forward_demodulation,[],[f4146,f3241]) ).
fof(f4146,plain,
( ~ hBOOL(hAPP(sF97,sF107))
| spl113_6 ),
inference(forward_demodulation,[],[f4145,f3240]) ).
fof(f4145,plain,
( ~ hBOOL(hAPP(sF97,hAPP(sF106,v_c____)))
| spl113_6 ),
inference(forward_demodulation,[],[f4144,f3239]) ).
fof(f4144,plain,
( ~ hBOOL(hAPP(sF97,hAPP(hAPP(sF105,v_a____),v_c____)))
| spl113_6 ),
inference(forward_demodulation,[],[f4143,f3238]) ).
fof(f4143,plain,
( ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF104),v_a____),v_c____)))
| spl113_6 ),
inference(forward_demodulation,[],[f4142,f3237]) ).
fof(f4142,plain,
( ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF103,v_a____)),v_a____),v_c____)))
| spl113_6 ),
inference(forward_demodulation,[],[f4141,f3236]) ).
fof(f4141,plain,
( ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF102,v_b____),v_a____)),v_a____),v_c____)))
| spl113_6 ),
inference(subsumption_resolution,[],[f4140,f4031]) ).
fof(f4031,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),sF104))
| spl113_6 ),
inference(forward_demodulation,[],[f4030,f3237]) ).
fof(f4030,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(sF103,v_a____)))
| spl113_6 ),
inference(forward_demodulation,[],[f4029,f3236]) ).
fof(f4029,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(sF102,v_b____),v_a____)))
| spl113_6 ),
inference(forward_demodulation,[],[f4028,f3235]) ).
fof(f4028,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),v_b____),v_a____)))
| spl113_6 ),
inference(subsumption_resolution,[],[f4027,f3883]) ).
fof(f3883,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),sF101))
| spl113_6 ),
inference(forward_demodulation,[],[f3882,f3234]) ).
fof(f3882,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(sF100,v_b____)))
| spl113_6 ),
inference(forward_demodulation,[],[f3881,f3233]) ).
fof(f3881,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(sF99,v_c____),v_b____)))
| spl113_6 ),
inference(forward_demodulation,[],[f3880,f3232]) ).
fof(f3880,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)))
| spl113_6 ),
inference(subsumption_resolution,[],[f3879,f3390]) ).
fof(f3390,plain,
( ~ hBOOL(sF112)
| spl113_6 ),
inference(avatar_component_clause,[],[f3388]) ).
fof(f3879,plain,
( hBOOL(sF112)
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3878,f3245]) ).
fof(f3878,plain,
( hBOOL(hAPP(sF111,sF98))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____))) ),
inference(superposition,[],[f3771,f3231]) ).
fof(f3771,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(sF111,hAPP(v_P____,X0))) ),
inference(backward_demodulation,[],[f3582,f3244]) ).
fof(f3582,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(sF93,sF110),hAPP(v_P____,X0))) ),
inference(forward_demodulation,[],[f3581,f3226]) ).
fof(f3581,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF93,sF110),hAPP(v_P____,X0)))
| ~ hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3580,f3225]) ).
fof(f3580,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF93,sF110),hAPP(v_P____,X0)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3435,f3226]) ).
fof(f3435,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(sF92),sF110),hAPP(v_P____,X0)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(backward_demodulation,[],[f3325,f3225]) ).
fof(f3325,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),sF110),hAPP(v_P____,X0))) ),
inference(forward_demodulation,[],[f3324,f3243]) ).
fof(f3324,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_b____)),hAPP(v_P____,X0))) ),
inference(forward_demodulation,[],[f3323,f3242]) ).
fof(f3323,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_b____)),hAPP(v_P____,X0))) ),
inference(forward_demodulation,[],[f3322,f3242]) ).
fof(f3322,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_a____),v_b____)),hAPP(v_P____,X0)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3297,f3227]) ).
fof(f3297,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_a____),v_b____)),hAPP(v_P____,X0))) ),
inference(backward_demodulation,[],[f2652,f3227]) ).
fof(f2652,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ),
inference(cnf_transformation,[],[f1886]) ).
fof(f4027,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),sF101))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f4026,f3234]) ).
fof(f4026,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(sF100,v_b____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f4025,f3234]) ).
fof(f4025,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF100,v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(sF100,v_b____))) ),
inference(forward_demodulation,[],[f4024,f3233]) ).
fof(f4024,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(sF100,v_b____))) ),
inference(forward_demodulation,[],[f4023,f3233]) ).
fof(f4023,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(sF99,v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f4022,f3232]) ).
fof(f4022,plain,
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(sF99,v_c____),v_b____))) ),
inference(forward_demodulation,[],[f4021,f3232]) ).
fof(f4021,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)),v_b____),v_a____))) ),
inference(superposition,[],[f3508,f3231]) ).
fof(f3508,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3507,f3226]) ).
fof(f3507,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3506,f3225]) ).
fof(f3506,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3453,f3226]) ).
fof(f3453,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(backward_demodulation,[],[f3396,f3225]) ).
fof(f3396,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF109,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3395,f3242]) ).
fof(f3395,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3394,f3228]) ).
fof(f3394,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f3393,f3227]) ).
fof(f3393,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(forward_demodulation,[],[f2900,f3227]) ).
fof(f2900,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(cnf_transformation,[],[f2095]) ).
fof(f4140,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),sF104))
| ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF102,v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4139,f3237]) ).
fof(f4139,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(sF103,v_a____)))
| ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF102,v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4138,f3236]) ).
fof(f4138,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(sF102,v_b____),v_a____)))
| ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF102,v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4137,f3235]) ).
fof(f4137,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),v_b____),v_a____)))
| ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF102,v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4136,f3234]) ).
fof(f4136,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF100,v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF102,v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4135,f3235]) ).
fof(f4135,plain,
( ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF100,v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f4134,f3233]) ).
fof(f4134,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF101),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f4133,f3234]) ).
fof(f4133,plain,
( ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(sF100,v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f4132,f3233]) ).
fof(f4132,plain,
( ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f4131,f3232]) ).
fof(f4131,plain,
( ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(sF99,v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f4130,f3232]) ).
fof(f4130,plain,
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,sF98),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(superposition,[],[f3719,f3231]) ).
fof(f3719,plain,
! [X0] :
( ~ hBOOL(hAPP(sF97,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3714,f3230]) ).
fof(f3714,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(sF93,sF96),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(backward_demodulation,[],[f3620,f3229]) ).
fof(f3620,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f3619,f3226]) ).
fof(f3619,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(sF93,hAPP(sF95,v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f3618,f3226]) ).
fof(f3618,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF95,v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3617,f3225]) ).
fof(f3617,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF95,v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f3616,f3228]) ).
fof(f3616,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(sF92),hAPP(sF95,v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f3615,f3225]) ).
fof(f3615,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(sF95,v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3614,f3228]) ).
fof(f3614,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(forward_demodulation,[],[f3613,f3227]) ).
fof(f3613,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(sF94,v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(forward_demodulation,[],[f2668,f3227]) ).
fof(f2668,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(cnf_transformation,[],[f1902]) ).
fof(f3713,plain,
( spl113_5
| spl113_6 ),
inference(avatar_split_clause,[],[f3247,f3388,f3384]) ).
fof(f3247,plain,
( hBOOL(sF112)
| hBOOL(sF108) ),
inference(definition_folding,[],[f2524,f3245,f3231,f3244,f3243,f3242,f3227,f3226,f3225,f3241,f3240,f3239,f3238,f3237,f3236,f3235,f3234,f3233,f3232,f3231,f3230,f3229,f3228,f3227,f3226,f3225]) ).
fof(f2524,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK39)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK39))) ),
inference(cnf_transformation,[],[f1772]) ).
fof(f1772,plain,
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK39)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK39))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK39)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK39))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f1770,f1771]) ).
fof(f1771,plain,
( ? [X0] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ) )
=> ( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK39)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK39))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK39)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK39))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1770,plain,
? [X0] :
( ( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) )
& ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ) ),
inference(nnf_transformation,[],[f1114]) ).
fof(f1114,plain,
? [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0)))
<~> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(ennf_transformation,[],[f905]) ).
fof(f905,plain,
~ ! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ),
inference(rectify,[],[f524]) ).
fof(f524,negated_conjecture,
~ ! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X3)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X3)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(negated_conjecture,[],[f523]) ).
fof(f523,conjecture,
! [X3] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X3)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X3)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f3391,plain,
( ~ spl113_5
| ~ spl113_6 ),
inference(avatar_split_clause,[],[f3246,f3388,f3384]) ).
fof(f3246,plain,
( ~ hBOOL(sF112)
| ~ hBOOL(sF108) ),
inference(definition_folding,[],[f2525,f3245,f3231,f3244,f3243,f3242,f3227,f3226,f3225,f3241,f3240,f3239,f3238,f3237,f3236,f3235,f3234,f3233,f3232,f3231,f3230,f3229,f3228,f3227,f3226,f3225]) ).
fof(f2525,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK39)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK39))) ),
inference(cnf_transformation,[],[f1772]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SCT146+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 12:29:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.45 % (14305)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.46 % (14297)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.47 % (14289)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48 % (14289)Instruction limit reached!
% 0.19/0.48 % (14289)------------------------------
% 0.19/0.48 % (14289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (14289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (14289)Termination reason: Unknown
% 0.19/0.48 % (14289)Termination phase: Preprocessing 1
% 0.19/0.48
% 0.19/0.48 % (14289)Memory used [KB]: 1918
% 0.19/0.48 % (14289)Time elapsed: 0.009 s
% 0.19/0.48 % (14289)Instructions burned: 8 (million)
% 0.19/0.48 % (14289)------------------------------
% 0.19/0.48 % (14289)------------------------------
% 0.19/0.51 % (14283)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.52 % (14291)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (14297)Instruction limit reached!
% 0.19/0.52 % (14297)------------------------------
% 0.19/0.52 % (14297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (14297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (14297)Termination reason: Unknown
% 0.19/0.52 % (14297)Termination phase: Property scanning
% 0.19/0.52
% 0.19/0.52 % (14297)Memory used [KB]: 3326
% 0.19/0.52 % (14297)Time elapsed: 0.049 s
% 0.19/0.52 % (14297)Instructions burned: 77 (million)
% 0.19/0.52 % (14297)------------------------------
% 0.19/0.52 % (14297)------------------------------
% 0.19/0.52 % (14293)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (14299)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (14282)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (14296)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (14292)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.54 % (14287)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.54 % (14285)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (14286)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54 % (14306)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (14295)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (14288)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (14294)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (14290)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.55 % (14308)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55 % (14298)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (14290)Instruction limit reached!
% 0.19/0.55 % (14290)------------------------------
% 0.19/0.55 % (14290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55 % (14290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55 % (14290)Termination reason: Unknown
% 0.19/0.55 % (14290)Termination phase: Preprocessing 1
% 0.19/0.55
% 0.19/0.55 % (14290)Memory used [KB]: 1535
% 0.19/0.55 % (14290)Time elapsed: 0.003 s
% 0.19/0.55 % (14290)Instructions burned: 2 (million)
% 0.19/0.55 % (14290)------------------------------
% 0.19/0.55 % (14290)------------------------------
% 0.19/0.55 % (14284)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.55 % (14312)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.55 % (14311)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.55 % (14301)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (14303)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56 % (14310)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.56 % (14307)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56 % (14300)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 % (14302)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.56 % (14304)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.56 % (14283)Instruction limit reached!
% 0.19/0.56 % (14283)------------------------------
% 0.19/0.56 % (14283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.57 % (14283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.57 % (14283)Termination reason: Unknown
% 1.62/0.57 % (14283)Termination phase: Property scanning
% 1.62/0.57
% 1.62/0.57 % (14283)Memory used [KB]: 3198
% 1.62/0.57 % (14283)Time elapsed: 0.027 s
% 1.62/0.57 % (14283)Instructions burned: 51 (million)
% 1.62/0.57 % (14283)------------------------------
% 1.62/0.57 % (14283)------------------------------
% 1.62/0.58 % (14374)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.62/0.58 % (14291)Instruction limit reached!
% 1.62/0.58 % (14291)------------------------------
% 1.62/0.58 % (14291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (14291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (14291)Termination reason: Unknown
% 1.62/0.58 % (14291)Termination phase: Property scanning
% 1.62/0.58
% 1.62/0.58 % (14291)Memory used [KB]: 3198
% 1.62/0.58 % (14291)Time elapsed: 0.025 s
% 1.62/0.58 % (14291)Instructions burned: 51 (million)
% 1.62/0.58 % (14291)------------------------------
% 1.62/0.58 % (14291)------------------------------
% 1.62/0.58 % (14299)Instruction limit reached!
% 1.62/0.58 % (14299)------------------------------
% 1.62/0.58 % (14299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.58 % (14299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.58 % (14299)Termination reason: Unknown
% 1.62/0.58 % (14299)Termination phase: Property scanning
% 1.62/0.58
% 1.62/0.58 % (14299)Memory used [KB]: 3326
% 1.62/0.58 % (14299)Time elapsed: 0.032 s
% 1.62/0.58 % (14299)Instructions burned: 61 (million)
% 1.62/0.58 % (14299)------------------------------
% 1.62/0.58 % (14299)------------------------------
% 1.80/0.62 % (14284)Instruction limit reached!
% 1.80/0.62 % (14284)------------------------------
% 1.80/0.62 % (14284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (14284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (14284)Termination reason: Unknown
% 1.80/0.62 % (14284)Termination phase: Clausification
% 1.80/0.62
% 1.80/0.62 % (14284)Memory used [KB]: 3070
% 1.80/0.62 % (14284)Time elapsed: 0.019 s
% 1.80/0.62 % (14284)Instructions burned: 37 (million)
% 1.80/0.62 % (14284)------------------------------
% 1.80/0.62 % (14284)------------------------------
% 1.80/0.62 % (14287)Instruction limit reached!
% 1.80/0.62 % (14287)------------------------------
% 1.80/0.62 % (14287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (14287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (14287)Termination reason: Unknown
% 1.80/0.62 % (14287)Termination phase: Property scanning
% 1.80/0.62
% 1.80/0.62 % (14287)Memory used [KB]: 3198
% 1.80/0.62 % (14287)Time elapsed: 0.023 s
% 1.80/0.62 % (14287)Instructions burned: 49 (million)
% 1.80/0.62 % (14287)------------------------------
% 1.80/0.62 % (14287)------------------------------
% 1.80/0.62 % (14285)Instruction limit reached!
% 1.80/0.62 % (14285)------------------------------
% 1.80/0.62 % (14285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.62 % (14285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.62 % (14285)Termination reason: Unknown
% 1.80/0.62 % (14285)Termination phase: shuffling
% 1.80/0.62
% 1.80/0.62 % (14285)Memory used [KB]: 2942
% 1.80/0.62 % (14285)Time elapsed: 0.023 s
% 1.80/0.62 % (14285)Instructions burned: 52 (million)
% 1.80/0.62 % (14285)------------------------------
% 1.80/0.62 % (14285)------------------------------
% 1.80/0.63 % (14286)Instruction limit reached!
% 1.80/0.63 % (14286)------------------------------
% 1.80/0.63 % (14286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.63 % (14286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.63 % (14286)Termination reason: Unknown
% 1.80/0.63 % (14286)Termination phase: Property scanning
% 1.80/0.63
% 1.80/0.63 % (14286)Memory used [KB]: 3198
% 1.80/0.63 % (14286)Time elapsed: 0.024 s
% 1.80/0.63 % (14286)Instructions burned: 51 (million)
% 1.80/0.63 % (14286)------------------------------
% 1.80/0.63 % (14286)------------------------------
% 2.05/0.63 % (14292)Instruction limit reached!
% 2.05/0.63 % (14292)------------------------------
% 2.05/0.63 % (14292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (14292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63 % (14292)Termination reason: Unknown
% 2.05/0.63 % (14292)Termination phase: Property scanning
% 2.05/0.63
% 2.05/0.63 % (14292)Memory used [KB]: 3198
% 2.05/0.63 % (14292)Time elapsed: 0.023 s
% 2.05/0.63 % (14292)Instructions burned: 50 (million)
% 2.05/0.63 % (14292)------------------------------
% 2.05/0.63 % (14292)------------------------------
% 2.05/0.63 % (14288)Instruction limit reached!
% 2.05/0.63 % (14288)------------------------------
% 2.05/0.63 % (14288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (14288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63 % (14288)Termination reason: Unknown
% 2.05/0.63 % (14288)Termination phase: Property scanning
% 2.05/0.63
% 2.05/0.63 % (14288)Memory used [KB]: 3326
% 2.05/0.63 % (14288)Time elapsed: 0.024 s
% 2.05/0.63 % (14288)Instructions burned: 53 (million)
% 2.05/0.63 % (14288)------------------------------
% 2.05/0.63 % (14288)------------------------------
% 2.13/0.63 % (14401)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.13/0.64 % (14296)Instruction limit reached!
% 2.13/0.64 % (14296)------------------------------
% 2.13/0.64 % (14296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (14296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (14296)Termination reason: Unknown
% 2.13/0.64 % (14296)Termination phase: Property scanning
% 2.13/0.64
% 2.13/0.64 % (14296)Memory used [KB]: 3709
% 2.13/0.64 % (14296)Time elapsed: 0.030 s
% 2.13/0.64 % (14296)Instructions burned: 68 (million)
% 2.13/0.64 % (14296)------------------------------
% 2.13/0.64 % (14296)------------------------------
% 2.13/0.66 % (14293)Instruction limit reached!
% 2.13/0.66 % (14293)------------------------------
% 2.13/0.66 % (14293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.67 % (14427)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.13/0.67 % (14308)Instruction limit reached!
% 2.13/0.67 % (14308)------------------------------
% 2.13/0.67 % (14308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.67 % (14308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.67 % (14308)Termination reason: Unknown
% 2.13/0.67 % (14308)Termination phase: Property scanning
% 2.13/0.67
% 2.13/0.67 % (14308)Memory used [KB]: 3709
% 2.13/0.67 % (14308)Time elapsed: 0.031 s
% 2.13/0.67 % (14308)Instructions burned: 69 (million)
% 2.13/0.67 % (14308)------------------------------
% 2.13/0.67 % (14308)------------------------------
% 2.13/0.68 % (14293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.68 % (14293)Termination reason: Unknown
% 2.13/0.68 % (14293)Termination phase: Saturation
% 2.13/0.68
% 2.13/0.68 % (14293)Memory used [KB]: 7803
% 2.13/0.68 % (14293)Time elapsed: 0.043 s
% 2.13/0.68 % (14293)Instructions burned: 100 (million)
% 2.13/0.68 % (14293)------------------------------
% 2.13/0.68 % (14293)------------------------------
% 2.13/0.68 % (14428)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.13/0.68 % (14298)Instruction limit reached!
% 2.13/0.68 % (14298)------------------------------
% 2.13/0.68 % (14298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.68 % (14298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.68 % (14298)Termination reason: Unknown
% 2.13/0.68 % (14298)Termination phase: Saturation
% 2.13/0.68
% 2.13/0.68 % (14298)Memory used [KB]: 7931
% 2.13/0.68 % (14298)Time elapsed: 0.276 s
% 2.13/0.68 % (14298)Instructions burned: 100 (million)
% 2.13/0.68 % (14298)------------------------------
% 2.13/0.68 % (14298)------------------------------
% 2.13/0.68 % (14295)Instruction limit reached!
% 2.13/0.68 % (14295)------------------------------
% 2.13/0.68 % (14295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.68 % (14295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.68 % (14295)Termination reason: Unknown
% 2.13/0.68 % (14295)Termination phase: Saturation
% 2.13/0.68
% 2.13/0.68 % (14295)Memory used [KB]: 8187
% 2.13/0.68 % (14295)Time elapsed: 0.046 s
% 2.13/0.68 % (14295)Instructions burned: 101 (million)
% 2.13/0.68 % (14295)------------------------------
% 2.13/0.68 % (14295)------------------------------
% 2.13/0.69 % (14294)Instruction limit reached!
% 2.13/0.69 % (14294)------------------------------
% 2.13/0.69 % (14294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.69 % (14294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.69 % (14294)Termination reason: Unknown
% 2.13/0.69 % (14294)Termination phase: Saturation
% 2.13/0.69
% 2.13/0.69 % (14294)Memory used [KB]: 8315
% 2.13/0.69 % (14294)Time elapsed: 0.045 s
% 2.13/0.69 % (14294)Instructions burned: 102 (million)
% 2.13/0.69 % (14294)------------------------------
% 2.13/0.69 % (14294)------------------------------
% 2.13/0.69 % (14301)Instruction limit reached!
% 2.13/0.69 % (14301)------------------------------
% 2.13/0.69 % (14301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.69 % (14301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.69 % (14301)Termination reason: Unknown
% 2.13/0.69 % (14301)Termination phase: Saturation
% 2.13/0.69
% 2.13/0.69 % (14301)Memory used [KB]: 3709
% 2.13/0.69 % (14301)Time elapsed: 0.046 s
% 2.13/0.69 % (14301)Instructions burned: 100 (million)
% 2.13/0.69 % (14301)------------------------------
% 2.13/0.69 % (14301)------------------------------
% 2.13/0.69 % (14300)Instruction limit reached!
% 2.13/0.69 % (14300)------------------------------
% 2.13/0.69 % (14300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.69 % (14419)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.13/0.70 % (14431)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.50/0.70 % (14300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.50/0.70 % (14300)Termination reason: Unknown
% 2.50/0.70 % (14300)Termination phase: Saturation
% 2.50/0.70
% 2.50/0.70 % (14300)Memory used [KB]: 8315
% 2.50/0.70 % (14300)Time elapsed: 0.043 s
% 2.50/0.70 % (14300)Instructions burned: 100 (million)
% 2.50/0.70 % (14300)------------------------------
% 2.50/0.70 % (14300)------------------------------
% 2.50/0.74 % (14440)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.50/0.74 % (14441)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.50/0.74 % (14439)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.50/0.76 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.74/0.77 % (14444)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.74/0.77 % (14448)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.74/0.78 % (14303)Instruction limit reached!
% 2.74/0.78 % (14303)------------------------------
% 2.74/0.78 % (14303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.78 % (14303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.78 % (14303)Termination reason: Unknown
% 2.74/0.78 % (14303)Termination phase: Saturation
% 2.74/0.78
% 2.74/0.78 % (14303)Memory used [KB]: 8955
% 2.74/0.78 % (14303)Time elapsed: 0.064 s
% 2.74/0.78 % (14303)Instructions burned: 139 (million)
% 2.74/0.78 % (14303)------------------------------
% 2.74/0.78 % (14303)------------------------------
% 2.74/0.78 % (14443)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.74/0.78 % (14442)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.74/0.80 % (14469)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 2.74/0.80 % (14464)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.74/0.81 % (14461)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.74/0.81 % (14419)Instruction limit reached!
% 2.74/0.81 % (14419)------------------------------
% 2.74/0.81 % (14419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.81 % (14419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.81 % (14419)Termination reason: Unknown
% 2.74/0.81 % (14419)Termination phase: Saturation
% 2.74/0.81
% 2.74/0.81 % (14419)Memory used [KB]: 7931
% 2.74/0.81 % (14419)Time elapsed: 0.059 s
% 2.74/0.81 % (14419)Instructions burned: 91 (million)
% 2.74/0.81 % (14419)------------------------------
% 2.74/0.81 % (14419)------------------------------
% 2.74/0.82 % (14466)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.74/0.82 % (14467)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.74/0.82 % (14465)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.74/0.83 % (14310)Instruction limit reached!
% 2.74/0.83 % (14310)------------------------------
% 2.74/0.83 % (14310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.84 % (14302)Instruction limit reached!
% 2.74/0.84 % (14302)------------------------------
% 2.74/0.84 % (14302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.84 % (14310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.84 % (14310)Termination reason: Unknown
% 2.74/0.84 % (14310)Termination phase: Saturation
% 2.74/0.84
% 2.74/0.84 % (14310)Memory used [KB]: 4477
% 2.74/0.84 % (14310)Time elapsed: 0.078 s
% 2.74/0.84 % (14310)Instructions burned: 179 (million)
% 2.74/0.84 % (14310)------------------------------
% 2.74/0.84 % (14310)------------------------------
% 2.74/0.84 % (14477)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 2.74/0.85 % (14440)Instruction limit reached!
% 2.74/0.85 % (14440)------------------------------
% 2.74/0.85 % (14440)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.74/0.85 % (14302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.74/0.85 % (14302)Termination reason: Unknown
% 2.74/0.85 % (14302)Termination phase: Saturation
% 2.74/0.85
% 2.74/0.85 % (14302)Memory used [KB]: 9083
% 2.74/0.85 % (14302)Time elapsed: 0.083 s
% 2.74/0.85 % (14302)Instructions burned: 176 (million)
% 2.74/0.85 % (14302)------------------------------
% 2.74/0.85 % (14302)------------------------------
% 3.05/0.86 % (14440)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.05/0.86 % (14440)Termination reason: Unknown
% 3.05/0.86 % (14440)Termination phase: Property scanning
% 3.05/0.86
% 3.05/0.86 % (14440)Memory used [KB]: 3709
% 3.05/0.86 % (14440)Time elapsed: 0.031 s
% 3.05/0.86 % (14440)Instructions burned: 69 (million)
% 3.05/0.86 % (14440)------------------------------
% 3.05/0.86 % (14440)------------------------------
% 3.18/0.90 % (14513)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.18/0.91 % (14443)Instruction limit reached!
% 3.18/0.91 % (14443)------------------------------
% 3.18/0.91 % (14443)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.18/0.91 % (14443)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.18/0.91 % (14443)Termination reason: Unknown
% 3.18/0.91 % (14443)Termination phase: Saturation
% 3.18/0.91
% 3.18/0.91 % (14443)Memory used [KB]: 7931
% 3.18/0.91 % (14443)Time elapsed: 0.048 s
% 3.18/0.91 % (14443)Instructions burned: 91 (million)
% 3.18/0.91 % (14443)------------------------------
% 3.18/0.91 % (14443)------------------------------
% 3.36/0.94 % (14467)Instruction limit reached!
% 3.36/0.94 % (14467)------------------------------
% 3.36/0.94 % (14467)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.94 % (14467)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.94 % (14467)Termination reason: Unknown
% 3.36/0.94 % (14467)Termination phase: Property scanning
% 3.36/0.94
% 3.36/0.94 % (14467)Memory used [KB]: 3709
% 3.36/0.94 % (14467)Time elapsed: 0.031 s
% 3.36/0.94 % (14467)Instructions burned: 69 (million)
% 3.36/0.94 % (14467)------------------------------
% 3.36/0.94 % (14467)------------------------------
% 3.36/0.94 % (14311)First to succeed.
% 3.36/0.94 % (14530)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.36/0.95 % (14401)Instruction limit reached!
% 3.36/0.95 % (14401)------------------------------
% 3.36/0.95 % (14401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.95 % (14527)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.36/0.95 % (14529)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.36/0.96 % (14311)Refutation found. Thanks to Tanya!
% 3.36/0.96 % SZS status Theorem for theBenchmark
% 3.36/0.96 % SZS output start Proof for theBenchmark
% See solution above
% 3.36/0.96 % (14311)------------------------------
% 3.36/0.96 % (14311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.36/0.96 % (14311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.36/0.96 % (14311)Termination reason: Refutation
% 3.36/0.96
% 3.36/0.96 % (14311)Memory used [KB]: 9722
% 3.36/0.96 % (14311)Time elapsed: 0.531 s
% 3.36/0.96 % (14311)Instructions burned: 249 (million)
% 3.36/0.96 % (14311)------------------------------
% 3.36/0.96 % (14311)------------------------------
% 3.36/0.96 % (14266)Success in time 0.629 s
%------------------------------------------------------------------------------