TSTP Solution File: ITP006_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ITP006_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 17:15:44 EDT 2022
% Result : Theorem 0.21s 0.59s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 94
% Syntax : Number of formulae : 114 ( 5 unt; 81 typ; 0 def)
% Number of atoms : 251 ( 30 equ)
% Maximal formula atoms : 32 ( 7 avg)
% Number of connectives : 327 ( 109 ~; 77 |; 95 &)
% ( 18 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 9 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 105 ( 45 >; 60 *; 0 +; 0 <<)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 69 ( 69 usr; 30 con; 0-4 aty)
% Number of variables : 297 ( 225 !; 72 ?; 297 :)
% 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(func_def_0,type,
tyop_2Emin_2Ebool: d ).
tff(func_def_1,type,
tyop_2Emin_2Efun: ( d * d ) > d ).
tff(func_def_2,type,
s: ( d * u ) > du ).
tff(func_def_3,type,
app_2E2: ( du * du ) > u ).
tff(func_def_4,type,
combin_i_2E0: u ).
tff(func_def_5,type,
combin_k_2E0: u ).
tff(func_def_6,type,
combin_s_2E0: u ).
tff(func_def_7,type,
c_2Ebool_2E_21_2E0: u ).
tff(func_def_8,type,
c_2Ebool_2E_21_2E1: du > u ).
tff(func_def_9,type,
c_2Ebool_2E_2F_5C_2E0: u ).
tff(func_def_10,type,
c_2Ebool_2E_2F_5C_2E2: ( du * du ) > u ).
tff(func_def_11,type,
c_2Emin_2E_3D_2E0: u ).
tff(func_def_12,type,
c_2Emin_2E_3D_2E2: ( du * du ) > u ).
tff(func_def_13,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
tff(func_def_14,type,
c_2Emin_2E_3D_3D_3E_2E2: ( du * du ) > u ).
tff(func_def_15,type,
c_2Ebool_2E_3F_2E0: u ).
tff(func_def_16,type,
c_2Ebool_2E_3F_2E1: du > u ).
tff(func_def_17,type,
c_2Ebool_2EF_2E0: u ).
tff(func_def_18,type,
c_2EquantHeuristics_2EGUESS__EXISTS_2E0: u ).
tff(func_def_19,type,
c_2EquantHeuristics_2EGUESS__EXISTS_2E2: ( du * du ) > u ).
tff(func_def_20,type,
c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0: u ).
tff(func_def_21,type,
c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2: ( du * du ) > u ).
tff(func_def_22,type,
c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0: u ).
tff(func_def_23,type,
c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2: ( du * du ) > u ).
tff(func_def_24,type,
c_2EquantHeuristics_2EGUESS__FORALL_2E0: u ).
tff(func_def_25,type,
c_2EquantHeuristics_2EGUESS__FORALL_2E2: ( du * du ) > u ).
tff(func_def_26,type,
c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0: u ).
tff(func_def_27,type,
c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2: ( du * du ) > u ).
tff(func_def_28,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0: u ).
tff(func_def_29,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2: ( du * du ) > u ).
tff(func_def_30,type,
c_2Ebool_2ET_2E0: u ).
tff(func_def_31,type,
c_2Ebool_2E_5C_2F_2E0: u ).
tff(func_def_32,type,
c_2Ebool_2E_5C_2F_2E2: ( du * du ) > u ).
tff(func_def_33,type,
c_2Ebool_2E_7E_2E0: u ).
tff(func_def_34,type,
c_2Ebool_2E_7E_2E1: du > u ).
tff(func_def_35,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_36,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_37,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_38,type,
mono_2Ec_2Ebool_2E_2F_5C_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_39,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_40,type,
mono_2Ec_2Emin_2E_3D_3D_3E_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_41,type,
mono_2Ec_2Ebool_2EF_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_42,type,
mono_2Ec_2Ebool_2ET_2E0: mono_2Etyop_2Emin_2Ebool ).
tff(func_def_43,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_44,type,
mono_2Ec_2Ebool_2E_5C_2F_2E2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_45,type,
mono_2Ec_2Ebool_2E_7E_2E0: mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 ).
tff(func_def_46,type,
mono_2Ec_2Ebool_2E_7E_2E1: mono_2Etyop_2Emin_2Ebool > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_47,type,
i_mono_2Etyop_2Emin_2Ebool: mono_2Etyop_2Emin_2Ebool > u ).
tff(func_def_48,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_49,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_50,type,
j_mono_2Etyop_2Emin_2Ebool: du > mono_2Etyop_2Emin_2Ebool ).
tff(func_def_51,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_52,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_53,type,
sK5: ( d * d * u * u ) > u ).
tff(func_def_54,type,
sK6: ( d * d * u * u ) > u ).
tff(func_def_55,type,
sK7: ( d * d * u * u ) > u ).
tff(func_def_56,type,
sK8: ( d * d * u * u ) > u ).
tff(func_def_57,type,
sK9: ( d * d * u * u ) > u ).
tff(func_def_58,type,
sK10: ( d * d * u * u ) > u ).
tff(func_def_59,type,
sK11: ( d * d * u * u ) > u ).
tff(func_def_60,type,
sK12: ( d * d * u * u ) > u ).
tff(func_def_61,type,
sK13: ( d * d * u * u ) > u ).
tff(func_def_62,type,
sK14: ( d * d * u * u ) > u ).
tff(func_def_63,type,
sK15: ( u * d * d * u ) > u ).
tff(func_def_64,type,
sK16: u ).
tff(func_def_65,type,
sK17: d ).
tff(func_def_66,type,
sK18: d ).
tff(func_def_67,type,
sK19: u ).
tff(func_def_68,type,
sK20: u ).
tff(pred_def_1,type,
p: mono_2Etyop_2Emin_2Ebool > $o ).
tff(pred_def_2,type,
sP0: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_3,type,
sP1: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_4,type,
sP2: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_5,type,
sP3: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(pred_def_6,type,
sP4: ( mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool * mono_2Etyop_2Emin_2Ebool ) > $o ).
tff(f361,plain,
$false,
inference(unit_resulting_resolution,[],[f222,f236,f190]) ).
tff(f190,plain,
! [X5: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK16),s(sK18,X5)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK19),s(sK18,X5))))) ),
inference(cnf_transformation,[],[f126]) ).
tff(f126,plain,
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK17,sK18),sK20),s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK16)))))
& ! [X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK19),s(sK18,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK16),s(sK18,X5))))) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK17,sK18),sK20),s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK19))))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18,sK19,sK20])],[f124,f125]) ).
tff(f125,plain,
( ? [X0: u,X1: d,X2: d,X3: u,X4: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0)))))
& ! [X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3),s(X2,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X5))))) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3))))) )
=> ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK17,sK18),sK20),s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK16)))))
& ! [X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK19),s(sK18,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK16),s(sK18,X5))))) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK17,sK18),sK20),s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK19))))) ) ),
introduced(choice_axiom,[]) ).
tff(f124,plain,
? [X0: u,X1: d,X2: d,X3: u,X4: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0)))))
& ! [X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3),s(X2,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X0),s(X2,X5))))) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X2),X4),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X3))))) ),
inference(rectify,[],[f77]) ).
tff(f77,plain,
? [X2: u,X1: d,X0: d,X4: u,X3: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))
& ! [X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,X5))))) )
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4))))) ),
inference(flattening,[],[f76]) ).
tff(f76,plain,
? [X4: u,X1: d,X0: d,X2: u,X3: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2)))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))))
& ! [X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,X5))))) ) ),
inference(ennf_transformation,[],[f59]) ).
tff(f59,plain,
~ ! [X4: u,X1: d,X0: d,X2: u,X3: u] :
( ! [X5: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2),s(X0,X5)))))
=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,X5))))) )
=> ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))))
=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X3),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X2))))) ) ),
inference(rectify,[],[f58]) ).
tff(f58,negated_conjecture,
~ ! [X0: d,X1: d,X48: u,X20: u,X21: u] :
( ! [X49: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48),s(X0,X49)))))
=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21),s(X0,X49))))) )
=> ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21)))))
=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48))))) ) ),
inference(negated_conjecture,[],[f57]) ).
tff(f57,conjecture,
! [X0: d,X1: d,X48: u,X20: u,X21: u] :
( ! [X49: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48),s(X0,X49)))))
=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21),s(X0,X49))))) )
=> ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X21)))))
=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X20),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X48))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
tff(f236,plain,
p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK16),s(sK18,app_2E2(s(tyop_2Emin_2Efun(sK17,sK18),sK20),s(sK17,sK8(sK17,sK18,sK20,sK16)))))))),
inference(unit_resulting_resolution,[],[f191,f162]) ).
tff(f162,plain,
! [X0: d,X1: d,X14: u,X15: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,sK8(X0,X1,X14,X15))))))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))) ),
inference(cnf_transformation,[],[f109]) ).
tff(f109,plain,
! [X0: d,X1: d,X2: u,X3: u] :
( ! [X4: u,X5: u] :
( ( ! [X6: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X6)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,sK5(X0,X1,X4,X5)))))))) ) )
& ! [X8: u,X9: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X8)))))
| ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X8),s(X1,sK6(X0,X1,X8,X9))))))
& ! [X11: u] : ( s(X1,sK6(X0,X1,X8,X9)) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(X0,X11))) ) ) )
& ( ! [X12: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X8),s(X1,X12)))))
| ( s(X1,X12) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(X0,sK7(X0,X1,X9,X12)))) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X8))))) ) )
& ! [X14: u,X15: u] :
( ( ! [X16: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,X16)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15)))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,sK8(X0,X1,X14,X15)))))))) ) )
& ( ! [X18: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,sK9(X0,X1,X2,X3))))))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X18))))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))))
| ( ! [X21: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X21)))))))
& ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sK10(X0,X1,X2,X3)))))) ) )
& ! [X22: u,X23: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X23)))))
| ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X23),s(X1,sK11(X0,X1,X22,X23))))))
& ! [X25: u] : ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(X0,X25))) != s(X1,sK11(X0,X1,X22,X23)) ) ) )
& ( ! [X26: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X23),s(X1,X26)))))
| ( s(X1,X26) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(X0,sK12(X0,X1,X22,X26)))) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X23))))) ) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))))
| ( ! [X29: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X29)))))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sK13(X0,X1,X2,X3)))))) ) )
& ( ! [X30: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,sK14(X0,X1,X2,X3))))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X30))))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f98,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99]) ).
tff(f99,plain,
! [X0: d,X1: d,X4: u,X5: u] :
( ? [X7: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7)))))))
=> ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,sK5(X0,X1,X4,X5)))))))) ),
introduced(choice_axiom,[]) ).
tff(f100,plain,
! [X0: d,X1: d,X8: u,X9: u] :
( ? [X10: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X8),s(X1,X10)))))
& ! [X11: u] : ( s(X1,X10) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(X0,X11))) ) )
=> ( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X8),s(X1,sK6(X0,X1,X8,X9))))))
& ! [X11: u] : ( s(X1,sK6(X0,X1,X8,X9)) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(X0,X11))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f101,plain,
! [X0: d,X1: d,X9: u,X12: u] :
( ? [X13: u] : ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(X0,X13))) = s(X1,X12) )
=> ( s(X1,X12) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(X0,sK7(X0,X1,X9,X12)))) ) ),
introduced(choice_axiom,[]) ).
tff(f102,plain,
! [X0: d,X1: d,X14: u,X15: u] :
( ? [X17: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,X17)))))))
=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,sK8(X0,X1,X14,X15)))))))) ),
introduced(choice_axiom,[]) ).
tff(f103,plain,
! [X0: d,X1: d,X2: u,X3: u] :
( ? [X19: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X19)))))))
=> ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,sK9(X0,X1,X2,X3)))))))) ),
introduced(choice_axiom,[]) ).
tff(f104,plain,
! [X0: d,X1: d,X2: u,X3: u] :
( ? [X20: u] :
( ! [X21: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X21)))))))
& ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X20))))) )
=> ( ! [X21: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X21)))))))
& ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sK10(X0,X1,X2,X3)))))) ) ),
introduced(choice_axiom,[]) ).
tff(f105,plain,
! [X0: d,X1: d,X22: u,X23: u] :
( ? [X24: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X23),s(X1,X24)))))
& ! [X25: u] : ( s(X1,X24) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(X0,X25))) ) )
=> ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X23),s(X1,sK11(X0,X1,X22,X23))))))
& ! [X25: u] : ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(X0,X25))) != s(X1,sK11(X0,X1,X22,X23)) ) ) ),
introduced(choice_axiom,[]) ).
tff(f106,plain,
! [X0: d,X1: d,X22: u,X26: u] :
( ? [X27: u] : ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(X0,X27))) = s(X1,X26) )
=> ( s(X1,X26) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(X0,sK12(X0,X1,X22,X26)))) ) ),
introduced(choice_axiom,[]) ).
tff(f107,plain,
! [X0: d,X1: d,X2: u,X3: u] :
( ? [X28: u] :
( ! [X29: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X29)))))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X28))))) )
=> ( ! [X29: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X29)))))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sK13(X0,X1,X2,X3)))))) ) ),
introduced(choice_axiom,[]) ).
tff(f108,plain,
! [X0: d,X1: d,X2: u,X3: u] :
( ? [X31: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X31)))))))
=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,sK14(X0,X1,X2,X3)))))))) ),
introduced(choice_axiom,[]) ).
tff(f98,plain,
! [X0: d,X1: d,X2: u,X3: u] :
( ! [X4: u,X5: u] :
( ( ! [X6: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X6)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5)))))
| ? [X7: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X4),s(X0,X7))))))) ) )
& ! [X8: u,X9: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X8)))))
| ? [X10: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X8),s(X1,X10)))))
& ! [X11: u] : ( s(X1,X10) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(X0,X11))) ) ) )
& ( ! [X12: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X8),s(X1,X12)))))
| ? [X13: u] : ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(X0,X13))) = s(X1,X12) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X9),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X8))))) ) )
& ! [X14: u,X15: u] :
( ( ! [X16: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,X16)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15)))))
| ? [X17: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,X17))))))) ) )
& ( ! [X18: u] :
( ? [X19: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X19)))))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X18))))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))))
| ? [X20: u] :
( ! [X21: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X21)))))))
& ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X20))))) ) )
& ! [X22: u,X23: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X23)))))
| ? [X24: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X23),s(X1,X24)))))
& ! [X25: u] : ( s(X1,X24) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(X0,X25))) ) ) )
& ( ! [X26: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X23),s(X1,X26)))))
| ? [X27: u] : ( s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(X0,X27))) = s(X1,X26) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X22),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X23))))) ) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))))
| ? [X28: u] :
( ! [X29: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X29)))))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X28))))) ) )
& ( ! [X30: u] :
( ? [X31: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(X0,X31)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X30))))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))) ) ),
inference(rectify,[],[f97]) ).
tff(f97,plain,
! [X1: d,X0: d,X3: u,X2: u] :
( ! [X5: u,X4: u] :
( ( ! [X6: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(X1,X6)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))))
| ? [X6: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(X1,X6))))))) ) )
& ! [X15: u,X14: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15)))))
| ? [X16: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15),s(X0,X16)))))
& ! [X17: u] : ( s(X0,X16) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(X1,X17))) ) ) )
& ( ! [X16: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15),s(X0,X16)))))
| ? [X17: u] : ( s(X0,X16) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(X1,X17))) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15))))) ) )
& ! [X11: u,X12: u] :
( ( ! [X13: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(X1,X13)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12)))))
| ? [X13: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(X1,X13))))))) ) )
& ( ! [X9: u] :
( ? [X10: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X10)))))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X9))))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))))
| ? [X9: u] :
( ! [X10: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X10)))))))
& ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X9))))) ) )
& ! [X18: u,X19: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19)))))
| ? [X20: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19),s(X0,X20)))))
& ! [X21: u] : ( s(X0,X20) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(X1,X21))) ) ) )
& ( ! [X20: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19),s(X0,X20)))))
| ? [X21: u] : ( s(X0,X20) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(X1,X21))) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19))))) ) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))))
| ? [X7: u] :
( ! [X8: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X8)))))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X7))))) ) )
& ( ! [X7: u] :
( ? [X8: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X8)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X7))))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))) ) ),
inference(flattening,[],[f96]) ).
tff(f96,plain,
! [X1: d,X0: d,X3: u,X2: u] :
( ! [X5: u,X4: u] :
( ( ! [X6: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(X1,X6)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4)))))
| ? [X6: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(X1,X6))))))) ) )
& ! [X15: u,X14: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15)))))
| ? [X16: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15),s(X0,X16)))))
& ! [X17: u] : ( s(X0,X16) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(X1,X17))) ) ) )
& ( ! [X16: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15),s(X0,X16)))))
| ? [X17: u] : ( s(X0,X16) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(X1,X17))) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15))))) ) )
& ! [X11: u,X12: u] :
( ( ! [X13: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(X1,X13)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12)))))
| ? [X13: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(X1,X13))))))) ) )
& ( ! [X9: u] :
( ? [X10: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X10)))))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X9))))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))))
| ? [X9: u] :
( ! [X10: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X10)))))))
& ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X9))))) ) )
& ! [X18: u,X19: u] :
( ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19)))))
| ? [X20: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19),s(X0,X20)))))
& ! [X21: u] : ( s(X0,X20) != s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(X1,X21))) ) ) )
& ( ! [X20: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19),s(X0,X20)))))
| ? [X21: u] : ( s(X0,X20) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(X1,X21))) ) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19))))) ) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))))
| ? [X7: u] :
( ! [X8: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X8)))))))
& p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X7))))) ) )
& ( ! [X7: u] :
( ? [X8: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X8)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X7))))) )
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))) ) ),
inference(nnf_transformation,[],[f80]) ).
tff(f80,plain,
! [X1: d,X0: d,X3: u,X2: u] :
( ! [X5: u,X4: u] :
( ! [X6: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(X1,X6)))))))
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4))))) )
& ! [X15: u,X14: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15)))))
<=> ! [X16: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15),s(X0,X16)))))
| ? [X17: u] : ( s(X0,X16) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(X1,X17))) ) ) )
& ! [X11: u,X12: u] :
( ! [X13: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(X1,X13)))))))
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12))))) )
& ( ! [X9: u] :
( ? [X10: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X10)))))))
| p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X9))))) )
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))) )
& ! [X18: u,X19: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19)))))
<=> ! [X20: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19),s(X0,X20)))))
| ? [X21: u] : ( s(X0,X20) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(X1,X21))) ) ) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))))
<=> ! [X7: u] :
( ? [X8: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X8)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X7))))) ) ) ),
inference(ennf_transformation,[],[f61]) ).
tff(f61,plain,
! [X2: u,X1: d,X3: u,X0: d] :
( ! [X11: u,X12: u] :
( ! [X13: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(X1,X13)))))))
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X11),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X12))))) )
& ( ! [X7: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X7)))))
=> ? [X8: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X8))))))) )
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3))))) )
& ! [X15: u,X14: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15)))))
<=> ! [X16: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X15),s(X0,X16)))))
=> ? [X17: u] : ( s(X0,X16) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X14),s(X1,X17))) ) ) )
& ! [X5: u,X4: u] :
( ! [X6: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(X1,X6)))))))
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X1,X0),X5),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X4))))) )
& ! [X19: u,X18: u] :
( ! [X20: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19),s(X0,X20)))))
=> ? [X21: u] : ( s(X0,X20) = s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(X1,X21))) ) )
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X1,X0),X18),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X19))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3)))))
<=> ! [X9: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,X9)))))
=> ? [X10: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X0,tyop_2Emin_2Ebool),X3),s(X0,app_2E2(s(tyop_2Emin_2Efun(X1,X0),X2),s(X1,X10))))))) ) ) ),
inference(rectify,[],[f45]) ).
tff(f45,axiom,
! [X1: d,X0: d,X20: u,X21: u] :
( ! [X27: u,X26: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27)))))
<=> ! [X28: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X27),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X26),s(X0,X28))))))) )
& ( ! [X22: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,X22)))))
=> ? [X23: u] : p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X23))))))) )
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21))))) )
& ( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21)))))
<=> ! [X24: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,X24)))))
=> ? [X25: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X21),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X20),s(X0,X25))))))) ) )
& ! [X29: u,X30: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X29),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X30)))))
<=> ! [X31: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X30),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X29),s(X0,X31))))))) )
& ! [X36: u,X37: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X36),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X37)))))
<=> ! [X38: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X37),s(X1,X38)))))
=> ? [X39: u] : ( s(X1,X38) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X36),s(X0,X39))) ) ) )
& ! [X32: u,X33: u] :
( ! [X34: u] :
( p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X33),s(X1,X34)))))
=> ? [X35: u] : ( s(X1,X34) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X32),s(X0,X35))) ) )
<=> p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(X0,X1),X32),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X33))))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__REWRITES) ).
tff(f191,plain,
~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK17,sK18),sK20),s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK16))))),
inference(cnf_transformation,[],[f126]) ).
tff(f222,plain,
! [X0: u] : ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK19),s(sK18,app_2E2(s(tyop_2Emin_2Efun(sK17,sK18),sK20),s(sK17,X0))))))),
inference(unit_resulting_resolution,[],[f189,f163]) ).
tff(f163,plain,
! [X0: d,X1: d,X16: u,X14: u,X15: u] :
( ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15),s(X1,app_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(X0,X16)))))))
| ~ p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(X0,X1),X14),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X15))))) ),
inference(cnf_transformation,[],[f109]) ).
tff(f189,plain,
p(j_mono_2Etyop_2Emin_2Ebool(s(tyop_2Emin_2Ebool,c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(sK17,sK18),sK20),s(tyop_2Emin_2Efun(sK18,tyop_2Emin_2Ebool),sK19))))),
inference(cnf_transformation,[],[f126]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ITP006_1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 23:26:47 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.52 % (13063)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.21/0.52 % (13062)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.54 % (13057)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.54 % (13057)Instruction limit reached!
% 0.21/0.54 % (13057)------------------------------
% 0.21/0.54 % (13057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (13057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (13057)Termination reason: Unknown
% 0.21/0.54 % (13057)Termination phase: Preprocessing 3
% 0.21/0.54
% 0.21/0.54 % (13057)Memory used [KB]: 1535
% 0.21/0.54 % (13057)Time elapsed: 0.003 s
% 0.21/0.54 % (13057)Instructions burned: 3 (million)
% 0.21/0.54 % (13057)------------------------------
% 0.21/0.54 % (13057)------------------------------
% 0.21/0.54 % (13056)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.54 % (13060)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.54 % (13058)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (13070)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.54 % (13064)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.54 % (13080)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.55 % (13075)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.21/0.55 % (13065)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.55 % (13078)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.21/0.55 % (13055)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.55 % (13084)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.21/0.55 % (13067)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.55 % (13071)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55 % (13081)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 % (13076)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.56 % (13083)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.21/0.56 % (13066)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56 % (13083)Instruction limit reached!
% 0.21/0.56 % (13083)------------------------------
% 0.21/0.56 % (13083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (13073)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.56 % (13059)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.21/0.56 % (13068)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.56 % (13074)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.21/0.56 % (13058)First to succeed.
% 0.21/0.56 % (13056)Instruction limit reached!
% 0.21/0.56 % (13056)------------------------------
% 0.21/0.56 % (13056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56 % (13056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56 % (13056)Termination reason: Unknown
% 0.21/0.56 % (13056)Termination phase: Saturation
% 0.21/0.56
% 0.21/0.56 % (13056)Memory used [KB]: 1918
% 0.21/0.56 % (13056)Time elapsed: 0.008 s
% 0.21/0.56 % (13056)Instructions burned: 15 (million)
% 0.21/0.56 % (13056)------------------------------
% 0.21/0.56 % (13056)------------------------------
% 0.21/0.57 % (13083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (13083)Termination reason: Unknown
% 0.21/0.57 % (13083)Termination phase: Property scanning
% 0.21/0.57
% 0.21/0.57 % (13083)Memory used [KB]: 1791
% 0.21/0.57 % (13083)Time elapsed: 0.005 s
% 0.21/0.57 % (13083)Instructions burned: 11 (million)
% 0.21/0.57 % (13083)------------------------------
% 0.21/0.57 % (13083)------------------------------
% 0.21/0.57 % (13079)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.57 % (13059)Instruction limit reached!
% 0.21/0.57 % (13059)------------------------------
% 0.21/0.57 % (13059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (13059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (13059)Termination reason: Unknown
% 0.21/0.57 % (13059)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (13059)Memory used [KB]: 6268
% 0.21/0.57 % (13059)Time elapsed: 0.156 s
% 0.21/0.57 % (13059)Instructions burned: 14 (million)
% 0.21/0.57 % (13059)------------------------------
% 0.21/0.57 % (13059)------------------------------
% 0.21/0.57 % (13060)Instruction limit reached!
% 0.21/0.57 % (13060)------------------------------
% 0.21/0.57 % (13060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (13060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (13060)Termination reason: Unknown
% 0.21/0.57 % (13060)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (13060)Memory used [KB]: 1918
% 0.21/0.57 % (13060)Time elapsed: 0.008 s
% 0.21/0.57 % (13060)Instructions burned: 17 (million)
% 0.21/0.57 % (13060)------------------------------
% 0.21/0.57 % (13060)------------------------------
% 0.21/0.57 % (13072)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.57 % (13070)Instruction limit reached!
% 0.21/0.57 % (13070)------------------------------
% 0.21/0.57 % (13070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (13072)Instruction limit reached!
% 0.21/0.57 % (13072)------------------------------
% 0.21/0.57 % (13072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (13072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (13072)Termination reason: Unknown
% 0.21/0.57 % (13072)Termination phase: Preprocessing 3
% 0.21/0.57
% 0.21/0.57 % (13072)Memory used [KB]: 1663
% 0.21/0.57 % (13072)Time elapsed: 0.004 s
% 0.21/0.57 % (13072)Instructions burned: 4 (million)
% 0.21/0.57 % (13072)------------------------------
% 0.21/0.57 % (13072)------------------------------
% 0.21/0.57 % (13070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (13070)Termination reason: Unknown
% 0.21/0.57 % (13070)Termination phase: Property scanning
% 0.21/0.57
% 0.21/0.57 % (13070)Memory used [KB]: 1791
% 0.21/0.57 % (13070)Time elapsed: 0.007 s
% 0.21/0.57 % (13070)Instructions burned: 8 (million)
% 0.21/0.57 % (13070)------------------------------
% 0.21/0.57 % (13070)------------------------------
% 0.21/0.57 % (13067)Instruction limit reached!
% 0.21/0.57 % (13067)------------------------------
% 0.21/0.57 % (13067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (13067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (13067)Termination reason: Unknown
% 0.21/0.57 % (13067)Termination phase: Saturation
% 0.21/0.57
% 0.21/0.57 % (13067)Memory used [KB]: 1918
% 0.21/0.57 % (13067)Time elapsed: 0.013 s
% 0.21/0.57 % (13067)Instructions burned: 17 (million)
% 0.21/0.57 % (13067)------------------------------
% 0.21/0.57 % (13067)------------------------------
% 0.21/0.57 % (13073)Instruction limit reached!
% 0.21/0.57 % (13073)------------------------------
% 0.21/0.57 % (13073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (13073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (13073)Termination reason: Unknown
% 0.21/0.57 % (13073)Termination phase: Property scanning
% 0.21/0.57
% 0.21/0.57 % (13073)Memory used [KB]: 1535
% 0.21/0.57 % (13073)Time elapsed: 0.004 s
% 0.21/0.57 % (13073)Instructions burned: 3 (million)
% 0.21/0.57 % (13073)------------------------------
% 0.21/0.57 % (13073)------------------------------
% 0.21/0.58 % (13065)Instruction limit reached!
% 0.21/0.58 % (13065)------------------------------
% 0.21/0.58 % (13065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (13065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (13065)Termination reason: Unknown
% 0.21/0.58 % (13065)Termination phase: Property scanning
% 0.21/0.58
% 0.21/0.58 % (13065)Memory used [KB]: 1791
% 0.21/0.58 % (13065)Time elapsed: 0.008 s
% 0.21/0.58 % (13065)Instructions burned: 13 (million)
% 0.21/0.58 % (13065)------------------------------
% 0.21/0.58 % (13065)------------------------------
% 0.21/0.58 % (13066)Instruction limit reached!
% 0.21/0.58 % (13066)------------------------------
% 0.21/0.58 % (13066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (13066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (13066)Termination reason: Unknown
% 0.21/0.58 % (13066)Termination phase: Property scanning
% 0.21/0.58
% 0.21/0.58 % (13066)Memory used [KB]: 1791
% 0.21/0.58 % (13066)Time elapsed: 0.006 s
% 0.21/0.58 % (13066)Instructions burned: 9 (million)
% 0.21/0.58 % (13066)------------------------------
% 0.21/0.58 % (13066)------------------------------
% 0.21/0.58 % (13074)Instruction limit reached!
% 0.21/0.58 % (13074)------------------------------
% 0.21/0.58 % (13074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (13074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (13074)Termination reason: Unknown
% 0.21/0.58 % (13074)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (13074)Memory used [KB]: 1663
% 0.21/0.58 % (13074)Time elapsed: 0.005 s
% 0.21/0.58 % (13074)Instructions burned: 11 (million)
% 0.21/0.58 % (13074)------------------------------
% 0.21/0.58 % (13074)------------------------------
% 0.21/0.59 % (13075)Also succeeded, but the first one will report.
% 0.21/0.59 % (13058)Refutation found. Thanks to Tanya!
% 0.21/0.59 % SZS status Theorem for theBenchmark
% 0.21/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.59 % (13058)------------------------------
% 0.21/0.59 % (13058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (13058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (13058)Termination reason: Refutation
% 0.21/0.59
% 0.21/0.59 % (13058)Memory used [KB]: 6652
% 0.21/0.59 % (13058)Time elapsed: 0.142 s
% 0.21/0.59 % (13058)Instructions burned: 21 (million)
% 0.21/0.59 % (13058)------------------------------
% 0.21/0.59 % (13058)------------------------------
% 0.21/0.59 % (13054)Success in time 0.23 s
%------------------------------------------------------------------------------