TSTP Solution File: ITP018_1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ITP018_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Sun May 5 06:59:03 EDT 2024
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 177
% Syntax : Number of formulae : 376 ( 130 unt; 77 typ; 0 def)
% Number of atoms : 632 ( 140 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 521 ( 188 ~; 199 |; 38 &)
% ( 86 <=>; 9 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 9 ( 8 usr)
% Number of type conns : 60 ( 40 >; 20 *; 0 +; 0 <<)
% Number of predicates : 63 ( 61 usr; 61 prp; 0-2 aty)
% Number of functors : 68 ( 68 usr; 29 con; 0-4 aty)
% Number of variables : 413 ( 401 !; 12 ?; 413 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
u: $tType ).
tff(type_def_6,type,
d: $tType ).
tff(type_def_7,type,
du: $tType ).
tff(type_def_8,type,
mono_2Etyop_2Emin_2Ebool: $tType ).
tff(type_def_9,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: $tType ).
tff(type_def_10,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: $tType ).
tff(type_def_11,type,
mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: $tType ).
tff(type_def_12,type,
mono_2Etyop_2Erealax_2Ereal: $tType ).
tff(func_def_0,type,
tyop_2Ebinary__ieee_2Efloat: ( d * d ) > d ).
tff(func_def_1,type,
tyop_2Ebool_2Eitself: d > d ).
tff(func_def_2,type,
tyop_2Emin_2Ebool: d ).
tff(func_def_3,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(func_def_4,type,
tyop_2Epair_2Eprod: ( d * d ) > d ).
tff(func_def_5,type,
tyop_2Erealax_2Ereal: d ).
tff(func_def_6,type,
s: ( d * u ) > du ).
tff(func_def_7,type,
app_2E2: ( du * du ) > u ).
tff(func_def_8,type,
combin_i_2E0: u ).
tff(func_def_9,type,
combin_k_2E0: u ).
tff(func_def_10,type,
combin_s_2E0: u ).
tff(func_def_11,type,
c_2Ebool_2E_21_2E0: u ).
tff(func_def_12,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(func_def_13,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(func_def_14,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(func_def_15,type,
c_2Emin_2E_3D_2E0: u ).
tff(func_def_16,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(func_def_17,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(func_def_18,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_19,type,
c_2Ebool_2E_3F_2E0: u ).
tff(func_def_20,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(func_def_21,type,
c_2Ebool_2EF_2E0: u ).
tff(func_def_22,type,
c_2Ebool_2ET_2E0: u ).
tff(func_def_23,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(func_def_24,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(func_def_25,type,
c_2Ebinary__ieee_2Efloat__negate_2E0: u ).
tff(func_def_26,type,
c_2Ebinary__ieee_2Efloat__negate_2E1: du > u ).
tff(func_def_27,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E0: u ).
tff(func_def_28,type,
c_2Ebinary__ieee_2Efloat__plus__min_2E1: du > u ).
tff(func_def_29,type,
c_2Ebinary__ieee_2Efloat__to__real_2E0: u ).
tff(func_def_30,type,
c_2Ebinary__ieee_2Efloat__to__real_2E1: du > u ).
tff(func_def_31,type,
c_2Erealax_2Ereal__neg_2E0: u ).
tff(func_def_32,type,
c_2Erealax_2Ereal__neg_2E1: du > u ).
tff(func_def_33,type,
c_2Ebool_2Ethe__value_2E0: u ).
tff(func_def_34,type,
c_2Ebinary__ieee_2Eulp_2E0: u ).
tff(func_def_35,type,
c_2Ebinary__ieee_2Eulp_2E1: du > u ).
tff(func_def_36,type,
c_2Ebool_2E_7E_2E0: u ).
tff(func_def_37,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(func_def_38,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_39,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_40,type,
mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal: ( mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 * mono_2Etyop_2Erealax_2Ereal ) > mono_2Etyop_2Erealax_2Ereal ).
tff(func_def_41,type,
mono_2Ec_2Ebool_2E_2F_5C_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_42,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_43,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_44,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_45,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_46,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_47,type,
mono_2Ec_2Ebool_2E_5C_2F_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_48,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_49,type,
mono_2Ec_2Erealax_2Ereal__neg_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
tff(func_def_50,type,
mono_2Ec_2Erealax_2Ereal__neg_2E1: mono_2Etyop_2Erealax_2Ereal > mono_2Etyop_2Erealax_2Ereal ).
tff(func_def_51,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_52,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_53,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(func_def_54,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 > u ).
tff(func_def_55,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 > u ).
tff(func_def_56,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 > u ).
tff(func_def_57,type,
i_mono_2Etyop_2Erealax_2Ereal: mono_2Etyop_2Erealax_2Ereal > u ).
tff(func_def_58,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_59,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_60,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 ).
tff(func_def_61,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29: du > mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29 ).
tff(func_def_62,type,
j_mono_2Etyop_2Erealax_2Ereal: du > mono_2Etyop_2Erealax_2Ereal ).
tff(func_def_63,type,
sK0: d ).
tff(func_def_64,type,
sK1: d ).
tff(func_def_65,type,
sK2: ( d * u ) > u ).
tff(func_def_66,type,
sK3: ( d * u ) > u ).
tff(func_def_67,type,
sK4: ( d * d * u * u ) > u ).
tff(pred_def_1,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(f769,plain,
$false,
inference(avatar_sat_refutation,[],[f201,f206,f210,f214,f219,f223,f227,f231,f235,f239,f243,f247,f251,f266,f273,f277,f281,f285,f316,f320,f324,f328,f332,f336,f340,f344,f348,f352,f389,f408,f412,f416,f420,f424,f443,f453,f457,f461,f468,f477,f482,f492,f496,f525,f529,f541,f553,f557,f561,f606,f610,f614,f618,f675,f679,f683,f687,f691,f695,f768]) ).
tff(f768,plain,
( spl5_29
| ~ spl5_58
| ~ spl5_60 ),
inference(avatar_contradiction_clause,[],[f767]) ).
tff(f767,plain,
( $false
| spl5_29
| ~ spl5_58
| ~ spl5_60 ),
inference(trivial_inequality_removal,[],[f766]) ).
tff(f766,plain,
( ( mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))) != mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))) )
| spl5_29
| ~ spl5_58
| ~ spl5_60 ),
inference(forward_demodulation,[],[f764,f686]) ).
tff(f686,plain,
( ! [X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))) )
| ~ spl5_58 ),
inference(avatar_component_clause,[],[f685]) ).
tff(f685,plain,
( spl5_58
<=> ! [X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_58])]) ).
tff(f764,plain,
( ( mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))) != mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))))) )
| spl5_29
| ~ spl5_60 ),
inference(superposition,[],[f388,f694]) ).
tff(f694,plain,
( ! [X2: u,X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))))) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))) )
| ~ spl5_60 ),
inference(avatar_component_clause,[],[f693]) ).
tff(f693,plain,
( spl5_60
<=> ! [X2: u,X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))))) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_60])]) ).
tff(f388,plain,
( ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0)))))))) != mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))) )
| spl5_29 ),
inference(avatar_component_clause,[],[f386]) ).
tff(f386,plain,
( spl5_29
<=> ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0)))))))) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
tff(f695,plain,
spl5_60,
inference(avatar_split_clause,[],[f195,f693]) ).
tff(f195,plain,
! [X2: u,X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))))) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))) ),
inference(definition_unfolding,[],[f180,f131]) ).
tff(f131,plain,
! [X0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(X0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,X0) ),
inference(cnf_transformation,[],[f50]) ).
tff(f50,plain,
! [X0: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(X0) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,X0) ),
inference(rectify,[],[f37]) ).
tff(f37,axiom,
! [X12: mono_2Etyop_2Erealax_2Ereal] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(X12) = mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Erealax_2Ereal__neg_2E1) ).
tff(f180,plain,
! [X2: u,X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))))) = mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))) ),
inference(cnf_transformation,[],[f81]) ).
tff(f81,plain,
! [X0: d,X1: d,X2: u] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))))) = mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2))))) ),
inference(rectify,[],[f43]) ).
tff(f43,axiom,
! [X0: d,X1: d,X8: u] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X8)))))) = mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X8))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Efloat__to__real__negate) ).
tff(f691,plain,
spl5_59,
inference(avatar_split_clause,[],[f181,f689]) ).
tff(f689,plain,
( spl5_59
<=> ! [X2: u,X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_59])]) ).
tff(f181,plain,
! [X2: u,X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))) ),
inference(cnf_transformation,[],[f82]) ).
tff(f82,plain,
! [X0: d,X1: d,X2: u] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X0,X1),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X0,X1),X2)))) ),
inference(rectify,[],[f36]) ).
tff(f36,axiom,
! [X14: d,X15: d,X12: u] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X14,X15),X12)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Ebinary__ieee_2Efloat(X14,X15),tyop_2Erealax_2Ereal),c_2Ebinary__ieee_2Efloat__to__real_2E0),s(tyop_2Ebinary__ieee_2Efloat(X14,X15),X12)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebinary__ieee_2Efloat__to__real_2E1_2Emono_2EA_27t_20mono_2EA_27w) ).
tff(f687,plain,
spl5_58,
inference(avatar_split_clause,[],[f153,f685]) ).
tff(f153,plain,
! [X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))) ),
inference(cnf_transformation,[],[f70]) ).
tff(f70,plain,
! [X0: d,X1: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))) ),
inference(rectify,[],[f44]) ).
tff(f44,axiom,
! [X14: d,X15: d] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X14,X15)),c_2Ebool_2Ethe__value_2E0)))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X14,X15),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X14,X15)),c_2Ebool_2Ethe__value_2E0)))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eulp) ).
tff(f683,plain,
spl5_57,
inference(avatar_split_clause,[],[f152,f681]) ).
tff(f681,plain,
( spl5_57
<=> ! [X0: d,X1: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_57])]) ).
tff(f152,plain,
! [X0: d,X1: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
inference(cnf_transformation,[],[f69]) ).
tff(f69,plain,
! [X0: d,X1: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X0: d,X12: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a) ).
tff(f679,plain,
spl5_56,
inference(avatar_split_clause,[],[f151,f677]) ).
tff(f677,plain,
( spl5_56
<=> ! [X0: d,X1: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_56])]) ).
tff(f151,plain,
! [X0: d,X1: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
inference(cnf_transformation,[],[f68]) ).
tff(f68,plain,
! [X0: d,X1: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))) ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X0: d,X12: u] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12)))) = j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a) ).
tff(f675,plain,
spl5_55,
inference(avatar_split_clause,[],[f150,f673]) ).
tff(f673,plain,
( spl5_55
<=> ! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,X1: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X0,X1))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(X0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_55])]) ).
tff(f150,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,X1: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X0,X1))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(X0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X1)))) ),
inference(cnf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,X1: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X0,X1))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(X0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X1)))) ),
inference(rectify,[],[f41]) ).
tff(f41,axiom,
! [X5: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29,X6: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X5,X6))) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(X5)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X6)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) ).
tff(f618,plain,
( spl5_54
| ~ spl5_4
| ~ spl5_28 ),
inference(avatar_split_clause,[],[f404,f350,f212,f616]) ).
tff(f616,plain,
( spl5_54
<=> ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2ET_2E0 = mono_2Ec_2Ebool_2E_7E_2E1(X0) )
| p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_54])]) ).
tff(f212,plain,
( spl5_4
<=> ! [X0: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_7E_2E1(X0))
| p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
tff(f350,plain,
( spl5_28
<=> ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
tff(f404,plain,
( ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2ET_2E0 = mono_2Ec_2Ebool_2E_7E_2E1(X0) )
| p(X0) )
| ~ spl5_4
| ~ spl5_28 ),
inference(resolution,[],[f351,f213]) ).
tff(f213,plain,
( ! [X0: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_7E_2E1(X0))
| p(X0) )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f212]) ).
tff(f351,plain,
( ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X0)
| ( mono_2Ec_2Ebool_2ET_2E0 = X0 ) )
| ~ spl5_28 ),
inference(avatar_component_clause,[],[f350]) ).
tff(f614,plain,
spl5_53,
inference(avatar_split_clause,[],[f191,f612]) ).
tff(f612,plain,
( spl5_53
<=> ! [X0: d,X3: u,X2: u,X1: d] : ( s(X0,X2) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))),s(X1,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
tff(f191,plain,
! [X2: u,X3: u,X0: d,X1: d] : ( s(X0,X2) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))),s(X1,X3))) ),
inference(cnf_transformation,[],[f90]) ).
tff(f90,plain,
! [X0: d,X1: d,X2: u,X3: u] : ( s(X0,X2) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X2))),s(X1,X3))) ),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X0: d,X1: d,X8: u,X9: u] : ( s(X0,X8) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Efun(X1,X0)),combin_k_2E0),s(X0,X8))),s(X1,X9))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Ek__thm) ).
tff(f610,plain,
spl5_52,
inference(avatar_split_clause,[],[f169,f608]) ).
tff(f608,plain,
( spl5_52
<=> ! [X0: d,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK3(X0,X1))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
tff(f169,plain,
! [X0: d,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK3(X0,X1))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))) ),
inference(cnf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: d,X1: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
| ! [X2: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK3(X0,X1))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f114,f115]) ).
tff(f115,plain,
! [X0: d,X1: u] :
( ? [X3: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3)))))
=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK3(X0,X1)))))) ),
introduced(choice_axiom,[]) ).
tff(f114,plain,
! [X0: d,X1: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
| ! [X2: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))) )
& ( ? [X3: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))) ) ),
inference(rectify,[],[f113]) ).
tff(f113,plain,
! [X0: d,X1: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
| ! [X2: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))) )
& ( ? [X2: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))) ) ),
inference(nnf_transformation,[],[f77]) ).
tff(f77,plain,
! [X0: d,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
<=> ? [X2: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))) ),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X0: d,X2: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))
<=> ? [X11: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,X11))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Equant_2E_3F) ).
tff(f606,plain,
spl5_51,
inference(avatar_split_clause,[],[f168,f604]) ).
tff(f604,plain,
( spl5_51
<=> ! [X0: d,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK2(X0,X1)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
tff(f168,plain,
! [X0: d,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK2(X0,X1)))))) ),
inference(cnf_transformation,[],[f112]) ).
tff(f112,plain,
! [X0: d,X1: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK2(X0,X1)))))) )
& ( ! [X3: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f110,f111]) ).
tff(f111,plain,
! [X0: d,X1: u] :
( ? [X2: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))))
=> ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,sK2(X0,X1)))))) ),
introduced(choice_axiom,[]) ).
tff(f110,plain,
! [X0: d,X1: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
| ? [X2: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))) )
& ( ! [X3: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))) ) ),
inference(rectify,[],[f109]) ).
tff(f109,plain,
! [X0: d,X1: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
| ? [X2: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))) )
& ( ! [X2: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))) ) ),
inference(nnf_transformation,[],[f76]) ).
tff(f76,plain,
! [X0: d,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
<=> ! [X2: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X0: d,X2: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))
<=> ! [X11: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,X11))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Equant_2E_21) ).
tff(f561,plain,
spl5_50,
inference(avatar_split_clause,[],[f170,f559]) ).
tff(f559,plain,
( spl5_50
<=> ! [X2: u,X0: d,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
tff(f170,plain,
! [X2: u,X0: d,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X2))))) ),
inference(cnf_transformation,[],[f116]) ).
tff(f557,plain,
spl5_49,
inference(avatar_split_clause,[],[f167,f555]) ).
tff(f555,plain,
( spl5_49
<=> ! [X0: d,X1: u,X3: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
tff(f167,plain,
! [X3: u,X0: d,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1),s(X0,X3)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X1))))) ),
inference(cnf_transformation,[],[f112]) ).
tff(f553,plain,
spl5_48,
inference(avatar_split_clause,[],[f141,f551]) ).
tff(f551,plain,
( spl5_48
<=> ! [X0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
tff(f141,plain,
! [X0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0)))) ),
inference(cnf_transformation,[],[f60]) ).
tff(f60,plain,
! [X0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X0)))) ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X5: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X5) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) ).
tff(f541,plain,
( spl5_47
| ~ spl5_3
| ~ spl5_14 ),
inference(avatar_split_clause,[],[f302,f264,f208,f539]) ).
tff(f539,plain,
( spl5_47
<=> ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2EF_2E0 = mono_2Ec_2Ebool_2E_7E_2E1(X0) )
| ~ p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
tff(f208,plain,
( spl5_3
<=> ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X0)
| ~ p(mono_2Ec_2Ebool_2E_7E_2E1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
tff(f264,plain,
( spl5_14
<=> ! [X0: mono_2Etyop_2Emin_2Ebool] :
( p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
tff(f302,plain,
( ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2EF_2E0 = mono_2Ec_2Ebool_2E_7E_2E1(X0) )
| ~ p(X0) )
| ~ spl5_3
| ~ spl5_14 ),
inference(resolution,[],[f265,f209]) ).
tff(f209,plain,
( ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ~ p(mono_2Ec_2Ebool_2E_7E_2E1(X0))
| ~ p(X0) )
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f208]) ).
tff(f265,plain,
( ! [X0: mono_2Etyop_2Emin_2Ebool] :
( p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) )
| ~ spl5_14 ),
inference(avatar_component_clause,[],[f264]) ).
tff(f529,plain,
spl5_46,
inference(avatar_split_clause,[],[f149,f527]) ).
tff(f527,plain,
( spl5_46
<=> ! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,X1: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(X0,X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
tff(f149,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,X1: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(X0,X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X1)))) ),
inference(cnf_transformation,[],[f66]) ).
tff(f66,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,X1: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(X0,X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X0)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X1)))) ),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X5: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29,X6: mono_2Etyop_2Emin_2Ebool] : ( s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(X5,X6))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X5)),s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X6)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool) ).
tff(f525,plain,
spl5_45,
inference(avatar_split_clause,[],[f148,f523]) ).
tff(f523,plain,
( spl5_45
<=> ! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,X1: mono_2Etyop_2Erealax_2Ereal] : ( s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(X0,X1))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(X0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(X1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
tff(f148,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,X1: mono_2Etyop_2Erealax_2Ereal] : ( s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(X0,X1))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(X0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(X1)))) ),
inference(cnf_transformation,[],[f65]) ).
tff(f65,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,X1: mono_2Etyop_2Erealax_2Ereal] : ( s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(X0,X1))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(X0)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(X1)))) ),
inference(rectify,[],[f42]) ).
tff(f42,axiom,
! [X5: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29,X6: mono_2Etyop_2Erealax_2Ereal] : ( s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(X5,X6))) = s(tyop_2Erealax_2Ereal,app_2E2(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(X5)),s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(X6)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',monoeq_2Emono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal) ).
tff(f496,plain,
spl5_44,
inference(avatar_split_clause,[],[f190,f494]) ).
tff(f494,plain,
( spl5_44
<=> ! [X2: u,X0: d,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))))
| ( s(X0,X1) != s(X0,X2) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
tff(f190,plain,
! [X2: u,X0: d,X1: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))))
| ( s(X0,X1) != s(X0,X2) ) ),
inference(cnf_transformation,[],[f124]) ).
tff(f124,plain,
! [X0: d,X1: u,X2: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))))
| ( s(X0,X1) != s(X0,X2) ) )
& ( ( s(X0,X1) = s(X0,X2) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2))))) ) ),
inference(nnf_transformation,[],[f89]) ).
tff(f89,plain,
! [X0: d,X1: u,X2: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2)))))
<=> ( s(X0,X1) = s(X0,X2) ) ),
inference(rectify,[],[f13]) ).
tff(f13,axiom,
! [X0: d,X5: u,X6: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X5),s(X0,X6)))))
<=> ( s(X0,X5) = s(X0,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Elogic_2E_3D) ).
tff(f492,plain,
spl5_43,
inference(avatar_split_clause,[],[f189,f490]) ).
tff(f490,plain,
( spl5_43
<=> ! [X2: u,X0: d,X1: u] :
( ( s(X0,X1) = s(X0,X2) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
tff(f189,plain,
! [X2: u,X0: d,X1: u] :
( ( s(X0,X1) = s(X0,X2) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X0,X1),s(X0,X2))))) ),
inference(cnf_transformation,[],[f124]) ).
tff(f482,plain,
spl5_42,
inference(avatar_split_clause,[],[f140,f480]) ).
tff(f480,plain,
( spl5_42
<=> ! [X0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
tff(f140,plain,
! [X0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0)))) ),
inference(cnf_transformation,[],[f59]) ).
tff(f59,plain,
! [X0: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X0)))) ),
inference(rectify,[],[f17]) ).
tff(f17,axiom,
! [X5: u] : ( s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X5) = s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) ).
tff(f477,plain,
spl5_41,
inference(avatar_split_clause,[],[f139,f475]) ).
tff(f475,plain,
( spl5_41
<=> ! [X0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
tff(f139,plain,
! [X0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0)))) ),
inference(cnf_transformation,[],[f58]) ).
tff(f58,plain,
! [X0: u] : ( s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X0)))) ),
inference(rectify,[],[f19]) ).
tff(f19,axiom,
! [X5: u] : ( s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X5) = s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) ).
tff(f468,plain,
spl5_40,
inference(avatar_split_clause,[],[f147,f466]) ).
tff(f466,plain,
( spl5_40
<=> ! [X0: d,X1: u] : ( s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0),s(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
tff(f147,plain,
! [X0: d,X1: u] : ( s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0),s(X0,X1))) ),
inference(cnf_transformation,[],[f64]) ).
tff(f64,plain,
! [X0: d,X1: u] : ( s(X0,X1) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0),s(X0,X1))) ),
inference(rectify,[],[f6]) ).
tff(f6,axiom,
! [X0: d,X8: u] : ( s(X0,X8) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X0,X0),combin_i_2E0),s(X0,X8))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Ei__thm) ).
tff(f461,plain,
spl5_39,
inference(avatar_split_clause,[],[f138,f459]) ).
tff(f459,plain,
( spl5_39
<=> ! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
tff(f138,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(X0))) = X0 ),
inference(cnf_transformation,[],[f57]) ).
tff(f57,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(X0))) = X0 ),
inference(rectify,[],[f23]) ).
tff(f23,axiom,
! [X5: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29(X5))) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) ).
tff(f457,plain,
spl5_38,
inference(avatar_split_clause,[],[f137,f455]) ).
tff(f455,plain,
( spl5_38
<=> ! [X0: u] : ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
tff(f137,plain,
! [X0: u] : ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,X0)))) ),
inference(cnf_transformation,[],[f56]) ).
tff(f56,plain,
! [X0: u] : ( s(tyop_2Emin_2Ebool,X0) = s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,X0)))) ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X5: u] : ( s(tyop_2Emin_2Ebool,X5) = s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Ebool) ).
tff(f453,plain,
spl5_37,
inference(avatar_split_clause,[],[f136,f451]) ).
tff(f451,plain,
( spl5_37
<=> ! [X0: u] : ( s(tyop_2Erealax_2Ereal,X0) = s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,X0)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
tff(f136,plain,
! [X0: u] : ( s(tyop_2Erealax_2Ereal,X0) = s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,X0)))) ),
inference(cnf_transformation,[],[f55]) ).
tff(f55,plain,
! [X0: u] : ( s(tyop_2Erealax_2Ereal,X0) = s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,X0)))) ),
inference(rectify,[],[f20]) ).
tff(f20,axiom,
! [X5: u] : ( s(tyop_2Erealax_2Ereal,X5) = s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,X5)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Erealax_2Ereal) ).
tff(f443,plain,
( spl5_35
| ~ spl5_36
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f256,f217,f440,f437]) ).
tff(f437,plain,
( spl5_35
<=> ! [X0: mono_2Etyop_2Emin_2Ebool] : ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
tff(f440,plain,
( spl5_36
<=> ( mono_2Ec_2Ebool_2ET_2E0 = mono_2Ec_2Ebool_2EF_2E0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
tff(f217,plain,
( spl5_5
<=> ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
| ( mono_2Ec_2Ebool_2ET_2E0 = X0 ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
tff(f256,plain,
( ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2ET_2E0 != mono_2Ec_2Ebool_2EF_2E0 )
| ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) )
| ~ spl5_5 ),
inference(equality_factoring,[],[f218]) ).
tff(f218,plain,
( ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
| ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) )
| ~ spl5_5 ),
inference(avatar_component_clause,[],[f217]) ).
tff(f424,plain,
spl5_34,
inference(avatar_split_clause,[],[f179,f422]) ).
tff(f422,plain,
( spl5_34
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| ~ p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
tff(f179,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| ~ p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1)) ),
inference(cnf_transformation,[],[f122]) ).
tff(f122,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(X1)
| ~ p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1)) )
& ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1))
| ( ~ p(X1)
& p(X0) ) ) ),
inference(flattening,[],[f121]) ).
tff(f121,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(X1)
| ~ p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1)) )
& ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1))
| ( ~ p(X1)
& p(X0) ) ) ),
inference(nnf_transformation,[],[f95]) ).
tff(f95,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(X1)
| ~ p(X0) )
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1)) ),
inference(ennf_transformation,[],[f80]) ).
tff(f80,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(X0)
=> p(X1) )
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1)) ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X12: mono_2Etyop_2Emin_2Ebool,X13: mono_2Etyop_2Emin_2Ebool] :
( ( p(X12)
=> p(X13) )
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2) ).
tff(f420,plain,
spl5_33,
inference(avatar_split_clause,[],[f176,f418]) ).
tff(f418,plain,
( spl5_33
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
tff(f176,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0),X1)) ),
inference(cnf_transformation,[],[f120]) ).
tff(f120,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(X1)
| p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0),X1)) )
& ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0),X1))
| ( ~ p(X1)
& ~ p(X0) ) ) ),
inference(flattening,[],[f119]) ).
tff(f119,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(X1)
| p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0),X1)) )
& ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0),X1))
| ( ~ p(X1)
& ~ p(X0) ) ) ),
inference(nnf_transformation,[],[f79]) ).
tff(f79,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(X1)
| p(X0) )
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0),X1)) ),
inference(rectify,[],[f31]) ).
tff(f31,axiom,
! [X12: mono_2Etyop_2Emin_2Ebool,X13: mono_2Etyop_2Emin_2Ebool] :
( ( p(X13)
| p(X12) )
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Ebool_2E_5C_2F_2E2) ).
tff(f416,plain,
spl5_32,
inference(avatar_split_clause,[],[f171,f414]) ).
tff(f414,plain,
( spl5_32
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0),X1))
| ~ p(X1)
| ~ p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
tff(f171,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0),X1))
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f118]) ).
tff(f118,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( ( p(X1)
& p(X0) )
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0),X1)) )
& ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0),X1))
| ~ p(X1)
| ~ p(X0) ) ),
inference(flattening,[],[f117]) ).
tff(f117,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( ( p(X1)
& p(X0) )
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0),X1)) )
& ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0),X1))
| ~ p(X1)
| ~ p(X0) ) ),
inference(nnf_transformation,[],[f78]) ).
tff(f78,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(X1)
& p(X0) )
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0),X1)) ),
inference(rectify,[],[f27]) ).
tff(f27,axiom,
! [X12: mono_2Etyop_2Emin_2Ebool,X13: mono_2Etyop_2Emin_2Ebool] :
( ( p(X13)
& p(X12) )
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X12),X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq2_2Ec_2Ebool_2E_2F_5C_2E2) ).
tff(f412,plain,
spl5_31,
inference(avatar_split_clause,[],[f135,f410]) ).
tff(f410,plain,
( spl5_31
<=> ! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
tff(f135,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X0))) = X0 ),
inference(cnf_transformation,[],[f54]) ).
tff(f54,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X0))) = X0 ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X5: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(X5))) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) ).
tff(f408,plain,
spl5_30,
inference(avatar_split_clause,[],[f134,f406]) ).
tff(f406,plain,
( spl5_30
<=> ! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
tff(f134,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(X0))) = X0 ),
inference(cnf_transformation,[],[f53]) ).
tff(f53,plain,
! [X0: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(X0))) = X0 ),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X5: mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29] : ( j_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(s(tyop_2Emin_2Efun(tyop_2Erealax_2Ereal,tyop_2Erealax_2Ereal),i_mono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29(X5))) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Erealax_2Ereal_2Ctyop_2Erealax_2Ereal_29) ).
tff(f389,plain,
~ spl5_29,
inference(avatar_split_clause,[],[f194,f386]) ).
tff(f194,plain,
j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0)))))))) != mono_2Eapp_2E2_2Emono_2Etyop_2Erealax_2Ereal_20mono_2Etyop_2Erealax_2Ereal(mono_2Ec_2Erealax_2Ereal__neg_2E0,j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))),
inference(definition_unfolding,[],[f127,f131]) ).
tff(f127,plain,
mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))) != j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0)))))))),
inference(cnf_transformation,[],[f98]) ).
tff(f98,plain,
mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))) != j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0)))))))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f92,f97]) ).
tff(f97,plain,
( ? [X0: d,X1: d] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))) != j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))))) )
=> ( mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0))))) != j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(sK0,sK1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(sK0,sK1)),c_2Ebool_2Ethe__value_2E0)))))))) ) ),
introduced(choice_axiom,[]) ).
tff(f92,plain,
? [X0: d,X1: d] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))) != j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))))) ),
inference(ennf_transformation,[],[f49]) ).
tff(f49,plain,
~ ! [X0: d,X1: d] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0))))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X0,X1),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X0,X1)),c_2Ebool_2Ethe__value_2E0)))))))) ),
inference(rectify,[],[f48]) ).
tff(f48,negated_conjecture,
~ ! [X14: d,X15: d] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X14,X15)),c_2Ebool_2Ethe__value_2E0))))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X14,X15),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X14,X15),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X14,X15)),c_2Ebool_2Ethe__value_2E0)))))))) ),
inference(negated_conjecture,[],[f47]) ).
tff(f47,conjecture,
! [X14: d,X15: d] : ( mono_2Ec_2Erealax_2Ereal__neg_2E1(j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Eulp_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X14,X15)),c_2Ebool_2Ethe__value_2E0))))) = j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,c_2Ebinary__ieee_2Efloat__to__real_2E1(s(tyop_2Ebinary__ieee_2Efloat(X14,X15),c_2Ebinary__ieee_2Efloat__negate_2E1(s(tyop_2Ebinary__ieee_2Efloat(X14,X15),c_2Ebinary__ieee_2Efloat__plus__min_2E1(s(tyop_2Ebool_2Eitself(tyop_2Epair_2Eprod(X14,X15)),c_2Ebool_2Ethe__value_2E0)))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm_2Ebinary__ieee_2Eneg__ulp) ).
tff(f352,plain,
( spl5_28
| ~ spl5_2
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f309,f283,f203,f350]) ).
tff(f203,plain,
( spl5_2
<=> p(mono_2Ec_2Ebool_2ET_2E0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
tff(f283,plain,
( spl5_18
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ~ p(X1)
| ~ p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
tff(f309,plain,
( ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2ET_2E0 = X0 )
| ~ p(X0) )
| ~ spl5_2
| ~ spl5_18 ),
inference(resolution,[],[f284,f205]) ).
tff(f205,plain,
( p(mono_2Ec_2Ebool_2ET_2E0)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f203]) ).
tff(f284,plain,
( ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X1)
| ( X0 = X1 )
| ~ p(X0) )
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f283]) ).
tff(f348,plain,
spl5_27,
inference(avatar_split_clause,[],[f178,f346]) ).
tff(f346,plain,
( spl5_27
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1))
| ~ p(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
tff(f178,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1))
| ~ p(X1) ),
inference(cnf_transformation,[],[f122]) ).
tff(f344,plain,
spl5_26,
inference(avatar_split_clause,[],[f177,f342]) ).
tff(f342,plain,
( spl5_26
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1))
| p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
tff(f177,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Emin_2E_3D_3D_3E_2E0,X0),X1))
| p(X0) ),
inference(cnf_transformation,[],[f122]) ).
tff(f340,plain,
spl5_25,
inference(avatar_split_clause,[],[f175,f338]) ).
tff(f338,plain,
( spl5_25
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0),X1))
| ~ p(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
tff(f175,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0),X1))
| ~ p(X1) ),
inference(cnf_transformation,[],[f120]) ).
tff(f336,plain,
spl5_24,
inference(avatar_split_clause,[],[f174,f334]) ).
tff(f334,plain,
( spl5_24
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0),X1))
| ~ p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
tff(f174,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_5C_2F_2E0,X0),X1))
| ~ p(X0) ),
inference(cnf_transformation,[],[f120]) ).
tff(f332,plain,
spl5_23,
inference(avatar_split_clause,[],[f173,f330]) ).
tff(f330,plain,
( spl5_23
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
tff(f173,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0),X1)) ),
inference(cnf_transformation,[],[f118]) ).
tff(f328,plain,
spl5_22,
inference(avatar_split_clause,[],[f172,f326]) ).
tff(f326,plain,
( spl5_22
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
tff(f172,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29(mono_2Ec_2Ebool_2E_2F_5C_2E0,X0),X1)) ),
inference(cnf_transformation,[],[f118]) ).
tff(f324,plain,
spl5_21,
inference(avatar_split_clause,[],[f162,f322]) ).
tff(f322,plain,
( spl5_21
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| ~ p(X0)
| ~ p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
tff(f162,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| ~ p(X0)
| ~ p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1)) ),
inference(cnf_transformation,[],[f107]) ).
tff(f107,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1))
| ( ~ p(X1)
& p(X0) ) )
& ( p(X1)
| ~ p(X0)
| ~ p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1)) ) ),
inference(flattening,[],[f106]) ).
tff(f106,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1))
| ( ~ p(X1)
& p(X0) ) )
& ( p(X1)
| ~ p(X0)
| ~ p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1)) ) ),
inference(nnf_transformation,[],[f94]) ).
tff(f94,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1))
<=> ( p(X1)
| ~ p(X0) ) ),
inference(ennf_transformation,[],[f74]) ).
tff(f74,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1))
<=> ( p(X0)
=> p(X1) ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X5: mono_2Etyop_2Emin_2Ebool,X6: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X5,X6))
<=> ( p(X5)
=> p(X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Elogic_2E_3D_3D_3E) ).
tff(f320,plain,
spl5_20,
inference(avatar_split_clause,[],[f159,f318]) ).
tff(f318,plain,
( spl5_20
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| p(X0)
| ~ p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
tff(f159,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| p(X0)
| ~ p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X0,X1)) ),
inference(cnf_transformation,[],[f105]) ).
tff(f105,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X0,X1))
| ( ~ p(X1)
& ~ p(X0) ) )
& ( p(X1)
| p(X0)
| ~ p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X0,X1)) ) ),
inference(flattening,[],[f104]) ).
tff(f104,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X0,X1))
| ( ~ p(X1)
& ~ p(X0) ) )
& ( p(X1)
| p(X0)
| ~ p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X0,X1)) ) ),
inference(nnf_transformation,[],[f73]) ).
tff(f73,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X0,X1))
<=> ( p(X1)
| p(X0) ) ),
inference(rectify,[],[f10]) ).
tff(f10,axiom,
! [X5: mono_2Etyop_2Emin_2Ebool,X6: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X5,X6))
<=> ( p(X6)
| p(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Elogic_2E_5C_2F) ).
tff(f316,plain,
spl5_19,
inference(avatar_split_clause,[],[f158,f314]) ).
tff(f314,plain,
( spl5_19
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X0,X1))
| ~ p(X1)
| ~ p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
tff(f158,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X0,X1))
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f103]) ).
tff(f103,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X0,X1))
| ~ p(X1)
| ~ p(X0) )
& ( ( p(X1)
& p(X0) )
| ~ p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X0,X1)) ) ),
inference(flattening,[],[f102]) ).
tff(f102,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X0,X1))
| ~ p(X1)
| ~ p(X0) )
& ( ( p(X1)
& p(X0) )
| ~ p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X0,X1)) ) ),
inference(nnf_transformation,[],[f72]) ).
tff(f72,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X0,X1))
<=> ( p(X1)
& p(X0) ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X5: mono_2Etyop_2Emin_2Ebool,X6: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X5,X6))
<=> ( p(X6)
& p(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Elogic_2E_2F_5C) ).
tff(f285,plain,
spl5_18,
inference(avatar_split_clause,[],[f155,f283]) ).
tff(f155,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ~ p(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f101]) ).
tff(f101,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ( ( ~ p(X1)
| ~ p(X0) )
& ( p(X1)
| p(X0) ) ) ),
inference(nnf_transformation,[],[f93]) ).
tff(f93,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = X1 )
| ( p(X0)
<~> p(X1) ) ),
inference(ennf_transformation,[],[f71]) ).
tff(f71,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( p(X0)
<=> p(X1) )
=> ( X0 = X1 ) ),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X5: mono_2Etyop_2Emin_2Ebool,X6: mono_2Etyop_2Emin_2Ebool] :
( ( p(X5)
<=> p(X6) )
=> ( X5 = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Eboolext) ).
tff(f281,plain,
spl5_17,
inference(avatar_split_clause,[],[f154,f279]) ).
tff(f279,plain,
( spl5_17
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = X1 )
| p(X1)
| p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
tff(f154,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( ( X0 = X1 )
| p(X1)
| p(X0) ),
inference(cnf_transformation,[],[f101]) ).
tff(f277,plain,
spl5_16,
inference(avatar_split_clause,[],[f133,f275]) ).
tff(f275,plain,
( spl5_16
<=> ! [X0: mono_2Etyop_2Erealax_2Ereal] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
tff(f133,plain,
! [X0: mono_2Etyop_2Erealax_2Ereal] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(X0))) = X0 ),
inference(cnf_transformation,[],[f52]) ).
tff(f52,plain,
! [X0: mono_2Etyop_2Erealax_2Ereal] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(X0))) = X0 ),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
! [X5: mono_2Etyop_2Erealax_2Ereal] : ( j_mono_2Etyop_2Erealax_2Ereal(s(tyop_2Erealax_2Ereal,i_mono_2Etyop_2Erealax_2Ereal(X5))) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Erealax_2Ereal) ).
tff(f273,plain,
spl5_15,
inference(avatar_split_clause,[],[f132,f271]) ).
tff(f271,plain,
( spl5_15
<=> ! [X0: mono_2Etyop_2Emin_2Ebool] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
tff(f132,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X0))) = X0 ),
inference(cnf_transformation,[],[f51]) ).
tff(f51,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X0))) = X0 ),
inference(rectify,[],[f21]) ).
tff(f21,axiom,
! [X5: mono_2Etyop_2Emin_2Ebool] : ( j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,i_mono_2Etyop_2Emin_2Ebool(X5))) = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Ebool) ).
tff(f266,plain,
( spl5_14
| ~ spl5_2
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f253,f217,f203,f264]) ).
tff(f253,plain,
( ! [X0: mono_2Etyop_2Emin_2Ebool] :
( p(X0)
| ( mono_2Ec_2Ebool_2EF_2E0 = X0 ) )
| ~ spl5_2
| ~ spl5_5 ),
inference(superposition,[],[f205,f218]) ).
tff(f251,plain,
spl5_13,
inference(avatar_split_clause,[],[f164,f249]) ).
tff(f249,plain,
( spl5_13
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1))
| ~ p(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
tff(f164,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1))
| ~ p(X1) ),
inference(cnf_transformation,[],[f107]) ).
tff(f247,plain,
spl5_12,
inference(avatar_split_clause,[],[f163,f245]) ).
tff(f245,plain,
( spl5_12
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1))
| p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
tff(f163,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Emin_2E_3D_3D_3E_2E2(X0,X1))
| p(X0) ),
inference(cnf_transformation,[],[f107]) ).
tff(f243,plain,
spl5_11,
inference(avatar_split_clause,[],[f161,f241]) ).
tff(f241,plain,
( spl5_11
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X0,X1))
| ~ p(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
tff(f161,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X0,X1))
| ~ p(X1) ),
inference(cnf_transformation,[],[f105]) ).
tff(f239,plain,
spl5_10,
inference(avatar_split_clause,[],[f160,f237]) ).
tff(f237,plain,
( spl5_10
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X0,X1))
| ~ p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
tff(f160,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_5C_2F_2E2(X0,X1))
| ~ p(X0) ),
inference(cnf_transformation,[],[f105]) ).
tff(f235,plain,
spl5_9,
inference(avatar_split_clause,[],[f157,f233]) ).
tff(f233,plain,
( spl5_9
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| ~ p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
tff(f157,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X1)
| ~ p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X0,X1)) ),
inference(cnf_transformation,[],[f103]) ).
tff(f231,plain,
spl5_8,
inference(avatar_split_clause,[],[f156,f229]) ).
tff(f229,plain,
( spl5_8
<=> ! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X0)
| ~ p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
tff(f156,plain,
! [X0: mono_2Etyop_2Emin_2Ebool,X1: mono_2Etyop_2Emin_2Ebool] :
( p(X0)
| ~ p(mono_2Ec_2Ebool_2E_2F_5C_2E2(X0,X1)) ),
inference(cnf_transformation,[],[f103]) ).
tff(f227,plain,
spl5_7,
inference(avatar_split_clause,[],[f144,f225]) ).
tff(f225,plain,
( spl5_7
<=> ! [X0: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2E_7E_2E0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
tff(f144,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2E_7E_2E0,X0)) ),
inference(cnf_transformation,[],[f99]) ).
tff(f99,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( ~ p(X0)
| ~ p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2E_7E_2E0,X0)) )
& ( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2E_7E_2E0,X0))
| p(X0) ) ),
inference(nnf_transformation,[],[f62]) ).
tff(f62,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X0)
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2E_7E_2E0,X0)) ),
inference(rectify,[],[f39]) ).
tff(f39,axiom,
! [X12: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X12)
<=> p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2E_7E_2E0,X12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arityeq1_2Ec_2Ebool_2E_7E_2E1) ).
tff(f223,plain,
spl5_6,
inference(avatar_split_clause,[],[f143,f221]) ).
tff(f221,plain,
( spl5_6
<=> ! [X0: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2E_7E_2E0,X0))
| p(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
tff(f143,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool(mono_2Ec_2Ebool_2E_7E_2E0,X0))
| p(X0) ),
inference(cnf_transformation,[],[f99]) ).
tff(f219,plain,
spl5_5,
inference(avatar_split_clause,[],[f142,f217]) ).
tff(f142,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
| ( mono_2Ec_2Ebool_2ET_2E0 = X0 ) ),
inference(cnf_transformation,[],[f61]) ).
tff(f61,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2EF_2E0 = X0 )
| ( mono_2Ec_2Ebool_2ET_2E0 = X0 ) ),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X7: mono_2Etyop_2Emin_2Ebool] :
( ( mono_2Ec_2Ebool_2EF_2E0 = X7 )
| ( mono_2Ec_2Ebool_2ET_2E0 = X7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Ebool__cases__ax) ).
tff(f214,plain,
spl5_4,
inference(avatar_split_clause,[],[f146,f212]) ).
tff(f146,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_7E_2E1(X0))
| p(X0) ),
inference(cnf_transformation,[],[f100]) ).
tff(f100,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ( p(mono_2Ec_2Ebool_2E_7E_2E1(X0))
| p(X0) )
& ( ~ p(X0)
| ~ p(mono_2Ec_2Ebool_2E_7E_2E1(X0)) ) ),
inference(nnf_transformation,[],[f63]) ).
tff(f63,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_7E_2E1(X0))
<=> ~ p(X0) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X5: mono_2Etyop_2Emin_2Ebool] :
( p(mono_2Ec_2Ebool_2E_7E_2E1(X5))
<=> ~ p(X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Elogic_2E_7E) ).
tff(f210,plain,
spl5_3,
inference(avatar_split_clause,[],[f145,f208]) ).
tff(f145,plain,
! [X0: mono_2Etyop_2Emin_2Ebool] :
( ~ p(X0)
| ~ p(mono_2Ec_2Ebool_2E_7E_2E1(X0)) ),
inference(cnf_transformation,[],[f100]) ).
tff(f206,plain,
spl5_2,
inference(avatar_split_clause,[],[f129,f203]) ).
tff(f129,plain,
p(mono_2Ec_2Ebool_2ET_2E0),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
p(mono_2Ec_2Ebool_2ET_2E0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Etruth) ).
tff(f201,plain,
~ spl5_1,
inference(avatar_split_clause,[],[f128,f198]) ).
tff(f198,plain,
( spl5_1
<=> p(mono_2Ec_2Ebool_2EF_2E0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
tff(f128,plain,
~ p(mono_2Ec_2Ebool_2EF_2E0),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
~ p(mono_2Ec_2Ebool_2EF_2E0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reserved_2Eho_2Enotfalse) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP018_1 : TPTP v8.1.2. Bugfixed v7.5.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 19:17:08 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (22910)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (22917)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (22920)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.38 % (22915)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.39 % (22914)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.39 % (22916)WARNING: value z3 for option sas not known
% 0.20/0.39 % (22918)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.39 % (22916)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.39 % (22919)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.42 % (22918)First to succeed.
% 0.20/0.43 % (22918)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-22910"
% 0.20/0.43 TRYING [1]
% 0.20/0.43 % (22918)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.44 % (22918)------------------------------
% 0.20/0.44 % (22918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.44 % (22918)Termination reason: Refutation
% 0.20/0.44
% 0.20/0.44 % (22918)Memory used [KB]: 1256
% 0.20/0.44 % (22918)Time elapsed: 0.047 s
% 0.20/0.44 % (22918)Instructions burned: 47 (million)
% 0.20/0.44 % (22910)Success in time 0.081 s
%------------------------------------------------------------------------------