TSTP Solution File: ITP006^1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ITP006^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n020.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 : Mon May 20 22:30:07 EDT 2024
% Result : Theorem 0.21s 0.50s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 84
% Syntax : Number of formulae : 129 ( 7 unt; 69 typ; 0 def)
% Number of atoms : 790 ( 265 equ; 0 cnn)
% Maximal formula atoms : 32 ( 13 avg)
% Number of connectives : 4689 ( 186 ~; 103 |; 100 &;4239 @)
% ( 26 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 100 ( 100 >; 0 *; 0 +; 0 <<)
% Number of symbols : 68 ( 65 usr; 28 con; 0-4 aty)
% Number of variables : 361 ( 0 ^ 285 !; 76 ?; 361 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
d: $tType ).
thf(type_def_7,type,
u: $tType ).
thf(type_def_8,type,
du: $tType ).
thf(func_def_0,type,
u: $tType ).
thf(func_def_1,type,
d: $tType ).
thf(func_def_2,type,
du: $tType ).
thf(func_def_3,type,
tyop_2Emin_2Ebool: d ).
thf(func_def_4,type,
tyop_2Emin_2Efun: d > d > d ).
thf(func_def_5,type,
s: d > u > du ).
thf(func_def_6,type,
app_2E2: du > du > u ).
thf(func_def_7,type,
combin_i_2E0: u ).
thf(func_def_8,type,
combin_k_2E0: u ).
thf(func_def_9,type,
combin_s_2E0: u ).
thf(func_def_10,type,
c_2Ebool_2E_21_2E0: u ).
thf(func_def_11,type,
c_2Ebool_2E_21_2E1: du > u ).
thf(func_def_12,type,
c_2Ebool_2E_2F_5C_2E0: u ).
thf(func_def_13,type,
c_2Ebool_2E_2F_5C_2E2: du > du > u ).
thf(func_def_14,type,
c_2Emin_2E_3D_2E0: u ).
thf(func_def_15,type,
c_2Emin_2E_3D_2E2: du > du > u ).
thf(func_def_16,type,
c_2Emin_2E_3D_3D_3E_2E0: u ).
thf(func_def_17,type,
c_2Emin_2E_3D_3D_3E_2E2: du > du > u ).
thf(func_def_18,type,
c_2Ebool_2E_3F_2E0: u ).
thf(func_def_19,type,
c_2Ebool_2E_3F_2E1: du > u ).
thf(func_def_20,type,
c_2Ebool_2EF_2E0: u ).
thf(func_def_21,type,
c_2EquantHeuristics_2EGUESS__EXISTS_2E0: u ).
thf(func_def_22,type,
c_2EquantHeuristics_2EGUESS__EXISTS_2E2: du > du > u ).
thf(func_def_23,type,
c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E0: u ).
thf(func_def_24,type,
c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2: du > du > u ).
thf(func_def_25,type,
c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E0: u ).
thf(func_def_26,type,
c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2: du > du > u ).
thf(func_def_27,type,
c_2EquantHeuristics_2EGUESS__FORALL_2E0: u ).
thf(func_def_28,type,
c_2EquantHeuristics_2EGUESS__FORALL_2E2: du > du > u ).
thf(func_def_29,type,
c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E0: u ).
thf(func_def_30,type,
c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2: du > du > u ).
thf(func_def_31,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E0: u ).
thf(func_def_32,type,
c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2: du > du > u ).
thf(func_def_33,type,
c_2Ebool_2ET_2E0: u ).
thf(func_def_34,type,
c_2Ebool_2E_5C_2F_2E0: u ).
thf(func_def_35,type,
c_2Ebool_2E_5C_2F_2E2: du > du > u ).
thf(func_def_36,type,
c_2Ebool_2E_7E_2E0: u ).
thf(func_def_37,type,
c_2Ebool_2E_7E_2E1: du > u ).
thf(func_def_38,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: ( $o > $o ) > $o > $o ).
thf(func_def_39,type,
mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o > $o ) > $o > $o > $o ).
thf(func_def_40,type,
mono_2Ec_2Ebool_2E_2F_5C: $o > $o > $o ).
thf(func_def_41,type,
mono_2Ec_2Emin_2E_3D_3D_3E: $o > $o > $o ).
thf(func_def_44,type,
mono_2Ec_2Ebool_2E_5C_2F: $o > $o > $o ).
thf(func_def_45,type,
mono_2Ec_2Ebool_2E_7E: $o > $o ).
thf(func_def_46,type,
i_mono_2Etyop_2Emin_2Ebool: $o > u ).
thf(func_def_47,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: ( $o > $o ) > u ).
thf(func_def_48,type,
i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: ( $o > $o > $o ) > u ).
thf(func_def_49,type,
j_mono_2Etyop_2Emin_2Ebool: du > $o ).
thf(func_def_50,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: du > $o > $o ).
thf(func_def_51,type,
j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: du > $o > $o > $o ).
thf(func_def_58,type,
sK0: d ).
thf(func_def_59,type,
sK1: u ).
thf(func_def_60,type,
sK2: d ).
thf(func_def_61,type,
sK3: u ).
thf(func_def_62,type,
sK4: u ).
thf(func_def_63,type,
sK5: u > u > d > d > u ).
thf(func_def_64,type,
sK6: u > u > d > d > u ).
thf(func_def_65,type,
sK7: u > u > d > d > u ).
thf(func_def_66,type,
sK8: u > u > d > d > u ).
thf(func_def_67,type,
sK9: u > u > d > d > u ).
thf(func_def_68,type,
sK10: u > u > d > d > u ).
thf(func_def_69,type,
sK11: u > d > u > d > u ).
thf(func_def_70,type,
sK12: u > d > u > d > u ).
thf(func_def_71,type,
sK13: u > d > u > d > u ).
thf(func_def_72,type,
sK14: u > d > u > d > u ).
thf(func_def_73,type,
sK15: d > d > u > u > u ).
thf(f342,plain,
$false,
inference(avatar_sat_refutation,[],[f294,f301,f339]) ).
thf(f339,plain,
~ spl16_4,
inference(avatar_contradiction_clause,[],[f338]) ).
thf(f338,plain,
( $false
| ~ spl16_4 ),
inference(trivial_inequality_removal,[],[f336]) ).
thf(f336,plain,
( ( $true != $true )
| ~ spl16_4 ),
inference(superposition,[],[f154,f314]) ).
thf(f314,plain,
( ! [X0: d,X1: u] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ sK0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) ) ) ) )
| ~ spl16_4 ),
inference(trivial_inequality_removal,[],[f313]) ).
thf(f313,plain,
( ! [X0: d,X1: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ sK0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) ) ) ) )
| ( $true != $true ) )
| ~ spl16_4 ),
inference(superposition,[],[f293,f234]) ).
thf(f234,plain,
! [X2: d,X0: d,X4: u,X5: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ X2 @ ( sK5 @ X5 @ X4 @ X2 @ X0 ) ) ) ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f188]) ).
thf(f188,plain,
! [X2: d,X0: d,X4: u,X5: u] :
( ( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ X2 @ ( sK5 @ X5 @ X4 @ X2 @ X0 ) ) ) ) ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) ) ) ) ) ),
inference(cnf_transformation,[],[f148]) ).
thf(f148,plain,
! [X0: d,X1: u,X2: d,X3: u] :
( ! [X4: u,X5: u] :
( ( ! [X6: u] :
( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ X2 @ X6 ) ) ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) ) ) ) ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) ) ) ) )
| ( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ X2 @ ( sK5 @ X5 @ X4 @ X2 @ X0 ) ) ) ) ) ) ) ) ) ) )
& ! [X8: u,X9: u] :
( ( ! [X10: u] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X9 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) @ ( s @ X2 @ X10 ) ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X9 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X9 ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X9 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) @ ( s @ X2 @ ( sK6 @ X9 @ X8 @ X2 @ X0 ) ) ) ) ) ) )
!= $true ) ) )
& ! [X12: u,X13: u] :
( ( ! [X14: u] :
( ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X13 ) @ ( s @ X0 @ X14 ) ) ) ) )
!= $true )
| ( ( s @ X0 @ X14 )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ X2 @ ( sK7 @ X14 @ X12 @ X2 @ X0 ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X13 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X13 ) ) ) )
= $true )
| ( ( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X13 ) @ ( s @ X0 @ ( sK8 @ X13 @ X12 @ X2 @ X0 ) ) ) ) ) ) )
& ! [X17: u] :
( ( s @ X0 @ ( sK8 @ X13 @ X12 @ X2 @ X0 ) )
!= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ X2 @ X17 ) ) ) ) ) ) )
& ! [X18: u,X19: u] :
( ( ! [X20: u] :
( ( ( s @ X0 @ X20 )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ X2 @ ( sK9 @ X20 @ X18 @ X2 @ X0 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X0 @ X20 ) ) ) )
!= $true ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X19 ) ) ) ) ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X19 ) ) ) ) )
| ( ! [X23: u] :
( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ X2 @ X23 ) ) )
!= ( s @ X0 @ ( sK10 @ X19 @ X18 @ X2 @ X0 ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X0 @ ( sK10 @ X19 @ X18 @ X2 @ X0 ) ) ) ) )
= $true ) ) ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) )
| ( ! [X25: u] :
( $true
!= ( ~ ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X25 ) ) ) ) ) ) ) )
& ( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ ( sK11 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) ) )
& ( ! [X26: u] :
( ( ( ~ ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ ( sK12 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) )
= $true )
| ( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ X26 ) ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) )
& ( ! [X28: u] :
( ( $true
= ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ ( sK13 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ X28 ) ) ) )
!= $true ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
= $true )
| ( ! [X31: u] :
( ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X31 ) ) ) ) ) )
!= $true )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ ( sK14 @ X3 @ X2 @ X1 @ X0 ) ) ) ) )
= $true ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14])],[f137,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138]) ).
thf(f138,plain,
! [X0: d,X2: d,X4: u,X5: u] :
( ? [X7: u] :
( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ X2 @ X7 ) ) ) ) ) ) ) )
=> ( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ X2 @ ( sK5 @ X5 @ X4 @ X2 @ X0 ) ) ) ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f139,plain,
! [X0: d,X2: d,X8: u,X9: u] :
( ? [X11: u] :
( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X9 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) @ ( s @ X2 @ X11 ) ) ) ) ) ) )
=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X9 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) @ ( s @ X2 @ ( sK6 @ X9 @ X8 @ X2 @ X0 ) ) ) ) ) ) )
!= $true ) ),
introduced(choice_axiom,[]) ).
thf(f140,plain,
! [X0: d,X2: d,X12: u,X14: u] :
( ? [X15: u] :
( ( s @ X0 @ X14 )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ X2 @ X15 ) ) ) )
=> ( ( s @ X0 @ X14 )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ X2 @ ( sK7 @ X14 @ X12 @ X2 @ X0 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f141,plain,
! [X0: d,X2: d,X12: u,X13: u] :
( ? [X16: u] :
( ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X13 ) @ ( s @ X0 @ X16 ) ) ) ) )
= $true )
& ! [X17: u] :
( ( s @ X0 @ X16 )
!= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ X2 @ X17 ) ) ) ) )
=> ( ( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X13 ) @ ( s @ X0 @ ( sK8 @ X13 @ X12 @ X2 @ X0 ) ) ) ) ) ) )
& ! [X17: u] :
( ( s @ X0 @ ( sK8 @ X13 @ X12 @ X2 @ X0 ) )
!= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ X2 @ X17 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f142,plain,
! [X0: d,X2: d,X18: u,X20: u] :
( ? [X21: u] :
( ( s @ X0 @ X20 )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ X2 @ X21 ) ) ) )
=> ( ( s @ X0 @ X20 )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ X2 @ ( sK9 @ X20 @ X18 @ X2 @ X0 ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f143,plain,
! [X0: d,X2: d,X18: u,X19: u] :
( ? [X22: u] :
( ! [X23: u] :
( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ X2 @ X23 ) ) )
!= ( s @ X0 @ X22 ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X0 @ X22 ) ) ) )
= $true ) )
=> ( ! [X23: u] :
( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ X2 @ X23 ) ) )
!= ( s @ X0 @ ( sK10 @ X19 @ X18 @ X2 @ X0 ) ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X0 @ ( sK10 @ X19 @ X18 @ X2 @ X0 ) ) ) ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f144,plain,
! [X0: d,X1: u,X2: d,X3: u] :
( ? [X24: u] :
( ! [X25: u] :
( $true
!= ( ~ ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X25 ) ) ) ) ) ) ) )
& ( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ X24 ) ) ) ) ) ) )
=> ( ! [X25: u] :
( $true
!= ( ~ ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X25 ) ) ) ) ) ) ) )
& ( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ ( sK11 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f145,plain,
! [X0: d,X1: u,X2: d,X3: u] :
( ? [X27: u] :
( $true
= ( ~ ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X27 ) ) ) ) ) ) ) )
=> ( ( ~ ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ ( sK12 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) )
= $true ) ),
introduced(choice_axiom,[]) ).
thf(f146,plain,
! [X0: d,X1: u,X2: d,X3: u] :
( ? [X29: u] :
( ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X29 ) ) ) ) ) )
= $true )
=> ( $true
= ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ ( sK13 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f147,plain,
! [X0: d,X1: u,X2: d,X3: u] :
( ? [X30: u] :
( ! [X31: u] :
( ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X31 ) ) ) ) ) )
!= $true )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ X30 ) ) ) ) ) )
=> ( ! [X31: u] :
( ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X31 ) ) ) ) ) )
!= $true )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ ( sK14 @ X3 @ X2 @ X1 @ X0 ) ) ) ) )
= $true ) ) ),
introduced(choice_axiom,[]) ).
thf(f137,plain,
! [X0: d,X1: u,X2: d,X3: u] :
( ! [X4: u,X5: u] :
( ( ! [X6: u] :
( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ X2 @ X6 ) ) ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) ) ) ) ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) ) ) ) )
| ? [X7: u] :
( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ X2 @ X7 ) ) ) ) ) ) ) ) ) )
& ! [X8: u,X9: u] :
( ( ! [X10: u] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X9 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) @ ( s @ X2 @ X10 ) ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X9 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X9 ) ) ) )
= $true )
| ? [X11: u] :
( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X9 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X8 ) @ ( s @ X2 @ X11 ) ) ) ) ) ) ) ) )
& ! [X12: u,X13: u] :
( ( ! [X14: u] :
( ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X13 ) @ ( s @ X0 @ X14 ) ) ) ) )
!= $true )
| ? [X15: u] :
( ( s @ X0 @ X14 )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ X2 @ X15 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X13 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X13 ) ) ) )
= $true )
| ? [X16: u] :
( ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X13 ) @ ( s @ X0 @ X16 ) ) ) ) )
= $true )
& ! [X17: u] :
( ( s @ X0 @ X16 )
!= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X12 ) @ ( s @ X2 @ X17 ) ) ) ) ) ) )
& ! [X18: u,X19: u] :
( ( ! [X20: u] :
( ? [X21: u] :
( ( s @ X0 @ X20 )
= ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ X2 @ X21 ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X0 @ X20 ) ) ) )
!= $true ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X19 ) ) ) ) ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X19 ) ) ) ) )
| ? [X22: u] :
( ! [X23: u] :
( ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X18 ) @ ( s @ X2 @ X23 ) ) )
!= ( s @ X0 @ X22 ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X0 @ X22 ) ) ) )
= $true ) ) ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) )
| ? [X24: u] :
( ! [X25: u] :
( $true
!= ( ~ ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X25 ) ) ) ) ) ) ) )
& ( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ X24 ) ) ) ) ) ) ) )
& ( ! [X26: u] :
( ? [X27: u] :
( $true
= ( ~ ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X27 ) ) ) ) ) ) ) )
| ( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ X26 ) ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) )
& ( ! [X28: u] :
( ? [X29: u] :
( ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X29 ) ) ) ) ) )
= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ X28 ) ) ) )
!= $true ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
= $true )
| ? [X30: u] :
( ! [X31: u] :
( ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X31 ) ) ) ) ) )
!= $true )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ X30 ) ) ) ) ) ) ) ),
inference(rectify,[],[f136]) ).
thf(f136,plain,
! [X2: d,X3: u,X1: d,X0: u] :
( ! [X16: u,X15: u] :
( ( ! [X17: u] :
( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ X1 @ X17 ) ) ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) )
= $true )
| ? [X17: u] :
( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ X1 @ X17 ) ) ) ) ) ) ) ) ) )
& ! [X6: u,X7: u] :
( ( ! [X8: u] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ X1 @ X8 ) ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) ) ) )
= $true )
| ? [X8: u] :
( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ X1 @ X8 ) ) ) ) ) ) ) ) )
& ! [X18: u,X19: u] :
( ( ! [X20: u] :
( ( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X2 @ X20 ) ) ) ) ) )
| ? [X21: u] :
( ( s @ X2 @ X20 )
= ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ X1 @ X21 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) ) ) )
= $true )
| ? [X20: u] :
( ( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X2 @ X20 ) ) ) ) ) )
& ! [X21: u] :
( ( s @ X2 @ X20 )
!= ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ X1 @ X21 ) ) ) ) ) ) )
& ! [X9: u,X10: u] :
( ( ! [X11: u] :
( ? [X12: u] :
( ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ X1 @ X12 ) ) )
= ( s @ X2 @ X11 ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) @ ( s @ X2 @ X11 ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) ) ) )
= $true )
| ? [X11: u] :
( ! [X12: u] :
( ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ X1 @ X12 ) ) )
!= ( s @ X2 @ X11 ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) @ ( s @ X2 @ X11 ) ) ) ) ) ) ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
= $true )
| ? [X4: u] :
( ! [X5: u] :
( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X5 ) ) ) ) ) ) ) )
& ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X4 ) ) ) ) )
= $true ) ) )
& ( ! [X4: u] :
( ? [X5: u] :
( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X5 ) ) ) ) ) ) ) )
| ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X4 ) ) ) ) )
!= $true ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
!= $true ) )
& ( ! [X13: u] :
( ? [X14: u] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X14 ) ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X13 ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) )
| ? [X13: u] :
( ! [X14: u] :
( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X14 ) ) ) ) ) ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X13 ) ) ) ) ) ) ) ),
inference(flattening,[],[f135]) ).
thf(f135,plain,
! [X2: d,X3: u,X1: d,X0: u] :
( ! [X16: u,X15: u] :
( ( ! [X17: u] :
( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ X1 @ X17 ) ) ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) )
= $true )
| ? [X17: u] :
( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ X1 @ X17 ) ) ) ) ) ) ) ) ) )
& ! [X6: u,X7: u] :
( ( ! [X8: u] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ X1 @ X8 ) ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) ) ) )
= $true )
| ? [X8: u] :
( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ X1 @ X8 ) ) ) ) ) ) ) ) )
& ! [X18: u,X19: u] :
( ( ! [X20: u] :
( ( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X2 @ X20 ) ) ) ) ) )
| ? [X21: u] :
( ( s @ X2 @ X20 )
= ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ X1 @ X21 ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) ) ) )
= $true )
| ? [X20: u] :
( ( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X2 @ X20 ) ) ) ) ) )
& ! [X21: u] :
( ( s @ X2 @ X20 )
!= ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ X1 @ X21 ) ) ) ) ) ) )
& ! [X9: u,X10: u] :
( ( ! [X11: u] :
( ? [X12: u] :
( ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ X1 @ X12 ) ) )
= ( s @ X2 @ X11 ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) @ ( s @ X2 @ X11 ) ) ) ) ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) ) ) )
!= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) ) ) )
= $true )
| ? [X11: u] :
( ! [X12: u] :
( ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ X1 @ X12 ) ) )
!= ( s @ X2 @ X11 ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) @ ( s @ X2 @ X11 ) ) ) ) ) ) ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
= $true )
| ? [X4: u] :
( ! [X5: u] :
( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X5 ) ) ) ) ) ) ) )
& ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X4 ) ) ) ) )
= $true ) ) )
& ( ! [X4: u] :
( ? [X5: u] :
( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X5 ) ) ) ) ) ) ) )
| ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X4 ) ) ) ) )
!= $true ) )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
!= $true ) )
& ( ! [X13: u] :
( ? [X14: u] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X14 ) ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X13 ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) )
& ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) )
| ? [X13: u] :
( ! [X14: u] :
( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X14 ) ) ) ) ) ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X13 ) ) ) ) ) ) ) ),
inference(nnf_transformation,[],[f114]) ).
thf(f114,plain,
! [X2: d,X3: u,X1: d,X0: u] :
( ! [X16: u,X15: u] :
( ! [X17: u] :
( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ X1 @ X17 ) ) ) ) ) ) ) )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) )
= $true ) )
& ! [X6: u,X7: u] :
( ! [X8: u] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ X1 @ X8 ) ) ) ) ) ) )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) ) ) )
= $true ) )
& ! [X18: u,X19: u] :
( ! [X20: u] :
( ( $true
!= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X2 @ X20 ) ) ) ) ) )
| ? [X21: u] :
( ( s @ X2 @ X20 )
= ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ X1 @ X21 ) ) ) ) )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) ) ) )
= $true ) )
& ! [X9: u,X10: u] :
( ! [X11: u] :
( ? [X12: u] :
( ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ X1 @ X12 ) ) )
= ( s @ X2 @ X11 ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) @ ( s @ X2 @ X11 ) ) ) ) ) )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) ) ) )
= $true ) )
& ( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
= $true )
<=> ! [X4: u] :
( ? [X5: u] :
( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X5 ) ) ) ) ) ) ) )
| ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X4 ) ) ) ) )
!= $true ) ) )
& ( ! [X13: u] :
( ? [X14: u] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X14 ) ) ) ) ) ) )
| ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X13 ) ) ) ) ) )
<=> ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f107]) ).
thf(f107,plain,
! [X1: d,X0: u,X2: d,X3: u] :
( ! [X16: u,X15: u] :
( ! [X17: u] :
( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ X1 @ X17 ) ) ) ) ) ) ) )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) )
= $true ) )
& ( ! [X4: u] :
( ( ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X4 ) ) ) ) )
= $true )
=> ? [X5: u] :
( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X5 ) ) ) ) ) ) ) ) )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
= $true ) )
& ! [X6: u,X7: u] :
( ! [X8: u] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ X1 @ X8 ) ) ) ) ) ) )
<=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) ) ) )
= $true ) )
& ! [X19: u,X18: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) ) ) )
= $true )
<=> ! [X20: u] :
( ( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X2 @ X20 ) ) ) ) ) )
=> ? [X21: u] :
( ( s @ X2 @ X20 )
= ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ X1 @ X21 ) ) ) ) ) )
& ( ! [X13: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X13 ) ) ) ) )
=> ? [X14: u] :
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X14 ) ) ) ) ) ) ) )
<=> ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) )
& ! [X10: u,X9: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) ) ) )
= $true )
<=> ! [X11: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) @ ( s @ X2 @ X11 ) ) ) ) )
=> ? [X12: u] :
( ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ X1 @ X12 ) ) )
= ( s @ X2 @ X11 ) ) ) ) ),
inference(fool_elimination,[],[f106]) ).
thf(f106,plain,
! [X0: u,X1: d,X2: d,X3: u] :
( ( ! [X4: u] :
( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X4 ) ) ) )
=> ? [X5: u] :
~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X5 ) ) ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) )
& ! [X6: u,X7: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) ) ) )
<=> ! [X8: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X7 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X6 ) @ ( s @ X1 @ X8 ) ) ) ) ) ) )
& ! [X9: u,X10: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) ) ) )
<=> ! [X11: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X10 ) @ ( s @ X2 @ X11 ) ) ) )
=> ? [X12: u] :
( ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X9 ) @ ( s @ X1 @ X12 ) ) )
= ( s @ X2 @ X11 ) ) ) )
& ( ! [X13: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X13 ) ) ) )
=> ? [X14: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ X1 @ X14 ) ) ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) )
& ! [X15: u,X16: u] :
( ! [X17: u] :
~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) @ ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ X1 @ X17 ) ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X16 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X15 ) ) ) ) )
& ! [X18: u,X19: u] :
( ! [X20: u] :
( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) @ ( s @ X2 @ X20 ) ) ) )
=> ? [X21: u] :
( ( s @ X2 @ X20 )
= ( s @ X2 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ X1 @ X21 ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X2 ) @ X18 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X19 ) ) ) ) ) ),
inference(rectify,[],[f39]) ).
thf(f39,axiom,
! [X24: u,X0: d,X1: d,X23: u] :
( ( ! [X27: u] :
( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X24 ) @ ( s @ X1 @ X27 ) ) ) )
=> ? [X28: u] :
~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X24 ) @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X23 ) @ ( s @ X0 @ X28 ) ) ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X23 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X24 ) ) ) ) )
& ! [X29: u,X30: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X29 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X30 ) ) ) )
<=> ! [X31: u] : ( 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 ) ) ) ) ) ) )
& ! [X35: u,X36: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X35 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X36 ) ) ) )
<=> ! [X37: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X36 ) @ ( s @ X1 @ X37 ) ) ) )
=> ? [X38: u] :
( ( s @ X1 @ X37 )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X35 ) @ ( s @ X0 @ X38 ) ) ) ) ) )
& ( ! [X25: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X24 ) @ ( s @ X1 @ X25 ) ) ) )
=> ? [X26: u] : ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X24 ) @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X23 ) @ ( s @ X0 @ X26 ) ) ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X23 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X24 ) ) ) ) )
& ! [X33: u,X32: u] :
( ! [X34: u] :
~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X33 ) @ ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X32 ) @ ( s @ X0 @ X34 ) ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X32 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X33 ) ) ) ) )
& ! [X39: u,X40: u] :
( ! [X41: u] :
( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X40 ) @ ( s @ X1 @ X41 ) ) ) )
=> ? [X42: u] :
( ( s @ X1 @ X41 )
= ( s @ X1 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X39 ) @ ( s @ X0 @ X42 ) ) ) ) )
<=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ X1 ) @ X39 ) @ ( s @ ( tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool ) @ X40 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__REWRITES) ).
thf(f293,plain,
( ! [X0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) @ ( s @ sK0 @ X0 ) ) ) )
!= $true )
| ~ spl16_4 ),
inference(avatar_component_clause,[],[f292]) ).
thf(f292,plain,
( spl16_4
<=> ! [X0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) @ ( s @ sK0 @ X0 ) ) ) )
!= $true ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_4])]) ).
thf(f154,plain,
( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) ) ) ) ),
inference(cnf_transformation,[],[f124]) ).
thf(f124,plain,
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) ) ) ) )
& ! [X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) @ ( s @ sK0 @ X5 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK1 ) @ ( s @ sK0 @ X5 ) ) ) ) ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK1 ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f122,f123]) ).
thf(f123,plain,
( ? [X0: d,X1: u,X2: d,X3: u,X4: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
!= $true )
& ! [X5: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ X5 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ X0 @ X5 ) ) ) )
= $true ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) )
= $true ) )
=> ( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) ) ) ) )
& ! [X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) @ ( s @ sK0 @ X5 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK1 ) @ ( s @ sK0 @ X5 ) ) ) ) ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK1 ) ) ) ) ) ) ),
introduced(choice_axiom,[]) ).
thf(f122,plain,
? [X0: d,X1: u,X2: d,X3: u,X4: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
!= $true )
& ! [X5: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ X5 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) @ ( s @ X0 @ X5 ) ) ) )
= $true ) )
& ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) )
= $true ) ),
inference(rectify,[],[f119]) ).
thf(f119,plain,
? [X2: d,X3: u,X4: d,X0: u,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
!= $true )
& ! [X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X5 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X2 @ X5 ) ) ) ) ) )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) ) ),
inference(flattening,[],[f118]) ).
thf(f118,plain,
? [X4: d,X1: u,X3: u,X0: u,X2: d] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
!= $true )
& ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) )
& ! [X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X5 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X2 @ X5 ) ) ) ) ) ) ),
inference(ennf_transformation,[],[f69]) ).
thf(f69,plain,
~ ! [X4: d,X1: u,X3: u,X0: u,X2: d] :
( ! [X5: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X5 ) ) ) ) )
=> ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X2 @ X5 ) ) ) ) ) )
=> ( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) ) )
=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) )
= $true ) ) ),
inference(fool_elimination,[],[f68]) ).
thf(f68,plain,
~ ! [X0: u,X1: u,X2: d,X3: u,X4: d] :
( ! [X5: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) @ ( s @ X2 @ X5 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X2 @ X5 ) ) ) ) )
=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X4 @ X2 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool ) @ X0 ) ) ) ) ) ),
inference(rectify,[],[f52]) ).
thf(f52,negated_conjecture,
~ ! [X51: u,X23: u,X0: d,X24: u,X1: d] :
( ! [X52: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X51 ) @ ( s @ X0 @ X52 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X24 ) @ ( s @ X0 @ X52 ) ) ) ) )
=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X23 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X24 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X23 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X51 ) ) ) ) ) ),
inference(negated_conjecture,[],[f51]) ).
thf(f51,conjecture,
! [X51: u,X23: u,X0: d,X24: u,X1: d] :
( ! [X52: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X51 ) @ ( s @ X0 @ X52 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X24 ) @ ( s @ X0 @ X52 ) ) ) ) )
=> ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X23 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X24 ) ) ) )
=> ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X1 @ X0 ) @ X23 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X51 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT) ).
thf(f301,plain,
~ spl16_3,
inference(avatar_contradiction_clause,[],[f300]) ).
thf(f300,plain,
( $false
| ~ spl16_3 ),
inference(trivial_inequality_removal,[],[f299]) ).
thf(f299,plain,
( ( $true = $false )
| ~ spl16_3 ),
inference(forward_demodulation,[],[f297,f263]) ).
thf(f263,plain,
! [X0: u] :
( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK1 ) @ ( s @ sK0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ sK2 @ X0 ) ) ) ) ) )
= $false ),
inference(trivial_inequality_removal,[],[f262]) ).
thf(f262,plain,
! [X0: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK1 ) @ ( s @ sK0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ sK2 @ X0 ) ) ) ) ) )
= $false )
| ( $true != $true ) ),
inference(superposition,[],[f243,f152]) ).
thf(f152,plain,
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK1 ) ) ) ) ),
inference(cnf_transformation,[],[f124]) ).
thf(f243,plain,
! [X2: d,X0: d,X6: u,X4: u,X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) ) ) ) )
| ( $false
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ X2 @ X6 ) ) ) ) ) ) ) ),
inference(not_proxy_clausification,[],[f189]) ).
thf(f189,plain,
! [X2: d,X0: d,X6: u,X4: u,X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) ) ) ) )
| ( $true
= ( ~ ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X5 ) @ ( s @ X0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X4 ) @ ( s @ X2 @ X6 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f148]) ).
thf(f297,plain,
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK1 ) @ ( s @ sK0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ sK2 @ ( sK13 @ sK3 @ sK2 @ sK4 @ sK0 ) ) ) ) ) ) ) )
| ~ spl16_3 ),
inference(trivial_inequality_removal,[],[f296]) ).
thf(f296,plain,
( ( $true != $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK1 ) @ ( s @ sK0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ sK2 @ ( sK13 @ sK3 @ sK2 @ sK4 @ sK0 ) ) ) ) ) ) ) )
| ~ spl16_3 ),
inference(superposition,[],[f153,f290]) ).
thf(f290,plain,
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) @ ( s @ sK0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ sK2 @ ( sK13 @ sK3 @ sK2 @ sK4 @ sK0 ) ) ) ) ) ) ) )
| ~ spl16_3 ),
inference(avatar_component_clause,[],[f288]) ).
thf(f288,plain,
( spl16_3
<=> ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) @ ( s @ sK0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ sK2 @ ( sK13 @ sK3 @ sK2 @ sK4 @ sK0 ) ) ) ) ) ) ) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl16_3])]) ).
thf(f153,plain,
! [X5: u] :
( ( $true
!= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) @ ( s @ sK0 @ X5 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK1 ) @ ( s @ sK0 @ X5 ) ) ) ) ) ),
inference(cnf_transformation,[],[f124]) ).
thf(f294,plain,
( spl16_3
| spl16_4 ),
inference(avatar_split_clause,[],[f286,f292,f288]) ).
thf(f286,plain,
! [X0: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) @ ( s @ sK0 @ X0 ) ) ) )
!= $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) @ ( s @ sK0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ sK2 @ ( sK13 @ sK3 @ sK2 @ sK4 @ sK0 ) ) ) ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f285]) ).
thf(f285,plain,
! [X0: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) @ ( s @ sK0 @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ sK2 @ ( sK13 @ sK3 @ sK2 @ sK4 @ sK0 ) ) ) ) ) ) ) )
| ( $true != $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) @ ( s @ sK0 @ X0 ) ) ) )
!= $true ) ),
inference(superposition,[],[f176,f283]) ).
thf(f283,plain,
( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) ) ) ) ),
inference(trivial_inequality_removal,[],[f281]) ).
thf(f281,plain,
( ( $true != $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ sK2 @ sK0 ) @ sK4 ) @ ( s @ ( tyop_2Emin_2Efun @ sK0 @ tyop_2Emin_2Ebool ) @ sK3 ) ) ) ) ) ),
inference(superposition,[],[f154,f279]) ).
thf(f279,plain,
! [X2: d,X3: u,X0: d,X1: u] :
( ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ) ),
inference(trivial_inequality_removal,[],[f273]) ).
thf(f273,plain,
! [X2: d,X3: u,X0: d,X1: u] :
( ( $true != $true )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) )
| ( $true
= ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X3 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X1 ) ) ) ) ) ),
inference(superposition,[],[f175,f234]) ).
thf(f175,plain,
! [X2: d,X31: u,X3: u,X0: d,X1: u] :
( ( ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ X31 ) ) ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
= $true ) ),
inference(cnf_transformation,[],[f148]) ).
thf(f176,plain,
! [X2: d,X3: u,X28: u,X0: d,X1: u] :
( ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( c_2EquantHeuristics_2EGUESS__EXISTS_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X2 @ X0 ) @ X1 ) @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) ) ) )
!= $true )
| ( ( j_mono_2Etyop_2Emin_2Ebool @ ( s @ tyop_2Emin_2Ebool @ ( app_2E2 @ ( s @ ( tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool ) @ X3 ) @ ( s @ X0 @ X28 ) ) ) )
!= $true )
| ( $true
= ( 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 @ X2 @ X0 ) @ X1 ) @ ( s @ X2 @ ( sK13 @ X3 @ X2 @ X1 @ X0 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP006^1 : TPTP v8.2.0. Bugfixed v7.5.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 17:44:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TH0_THM_EQU_NAR problem
% 0.14/0.36 Running vampire_ho --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_hol --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.38 % (20209)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (20209)Instruction limit reached!
% 0.14/0.38 % (20209)------------------------------
% 0.14/0.38 % (20209)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.38 % (20209)Termination reason: Unknown
% 0.14/0.38 % (20209)Termination phase: shuffling
% 0.14/0.38
% 0.14/0.38 % (20209)Memory used [KB]: 1151
% 0.14/0.38 % (20209)Time elapsed: 0.002 s
% 0.14/0.38 % (20209)Instructions burned: 3 (million)
% 0.14/0.38 % (20209)------------------------------
% 0.14/0.38 % (20209)------------------------------
% 0.14/0.38 % (20206)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on theBenchmark for (2999ds/183Mi)
% 0.14/0.38 % (20207)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.14/0.38 % (20208)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on theBenchmark for (2999ds/27Mi)
% 0.14/0.38 % (20210)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.38 % (20211)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on theBenchmark for (2999ds/275Mi)
% 0.14/0.38 % (20213)lrs+10_1:1_bet=on:cnfonf=off:fd=off:hud=5:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.14/0.38 % (20212)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.14/0.39 % (20210)Instruction limit reached!
% 0.14/0.39 % (20210)------------------------------
% 0.14/0.39 % (20210)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (20210)Termination reason: Unknown
% 0.14/0.39 % (20210)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (20210)Memory used [KB]: 1151
% 0.14/0.39 % (20210)Time elapsed: 0.004 s
% 0.14/0.39 % (20210)Instructions burned: 3 (million)
% 0.14/0.39 % (20210)------------------------------
% 0.14/0.39 % (20210)------------------------------
% 0.14/0.39 % (20213)Instruction limit reached!
% 0.14/0.39 % (20213)------------------------------
% 0.14/0.39 % (20213)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (20213)Termination reason: Unknown
% 0.14/0.39 % (20213)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (20213)Memory used [KB]: 1151
% 0.14/0.39 % (20213)Time elapsed: 0.004 s
% 0.14/0.39 % (20213)Instructions burned: 3 (million)
% 0.14/0.39 % (20213)------------------------------
% 0.14/0.39 % (20213)------------------------------
% 0.14/0.39 % (20207)Instruction limit reached!
% 0.14/0.39 % (20207)------------------------------
% 0.14/0.39 % (20207)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.14/0.39 % (20207)Termination reason: Unknown
% 0.14/0.39 % (20207)Termination phase: shuffling
% 0.14/0.39
% 0.14/0.39 % (20207)Memory used [KB]: 1151
% 0.14/0.39 % (20207)Time elapsed: 0.005 s
% 0.14/0.39 % (20207)Instructions burned: 5 (million)
% 0.14/0.39 % (20207)------------------------------
% 0.14/0.39 % (20207)------------------------------
% 0.14/0.39 % (20214)lrs+1002_1:1_cnfonf=lazy_not_be_gen:hud=14:prag=on:sp=weighted_frequency:tnu=1:i=37:si=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.39 % (20211)Refutation not found, incomplete strategy
% 0.21/0.39 % (20211)------------------------------
% 0.21/0.39 % (20211)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (20211)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.39
% 0.21/0.39
% 0.21/0.39 % (20211)Memory used [KB]: 5756
% 0.21/0.39 % (20211)Time elapsed: 0.012 s
% 0.21/0.39 % (20211)Instructions burned: 15 (million)
% 0.21/0.39 % (20211)------------------------------
% 0.21/0.39 % (20211)------------------------------
% 0.21/0.39 % (20212)Instruction limit reached!
% 0.21/0.39 % (20212)------------------------------
% 0.21/0.39 % (20212)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.39 % (20212)Termination reason: Unknown
% 0.21/0.39 % (20212)Termination phase: Preprocessing 3
% 0.21/0.39
% 0.21/0.39 % (20212)Memory used [KB]: 1279
% 0.21/0.39 % (20212)Time elapsed: 0.012 s
% 0.21/0.39 % (20212)Instructions burned: 18 (million)
% 0.21/0.39 % (20212)------------------------------
% 0.21/0.39 % (20212)------------------------------
% 0.21/0.40 % (20214)Instruction limit reached!
% 0.21/0.40 % (20214)------------------------------
% 0.21/0.40 % (20214)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (20214)Termination reason: Unknown
% 0.21/0.40 % (20214)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (20214)Memory used [KB]: 1407
% 0.21/0.40 % (20214)Time elapsed: 0.011 s
% 0.21/0.40 % (20214)Instructions burned: 39 (million)
% 0.21/0.40 % (20214)------------------------------
% 0.21/0.40 % (20214)------------------------------
% 0.21/0.40 % (20208)Instruction limit reached!
% 0.21/0.40 % (20208)------------------------------
% 0.21/0.40 % (20208)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (20208)Termination reason: Unknown
% 0.21/0.40 % (20208)Termination phase: Property scanning
% 0.21/0.40
% 0.21/0.40 % (20208)Memory used [KB]: 1407
% 0.21/0.40 % (20208)Time elapsed: 0.016 s
% 0.21/0.40 % (20208)Instructions burned: 27 (million)
% 0.21/0.40 % (20208)------------------------------
% 0.21/0.40 % (20208)------------------------------
% 0.21/0.40 % (20215)lrs+2_16:1_acc=model:au=on:bd=off:c=on:e2e=on:nm=2:sos=all:i=15:si=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.21/0.40 % (20216)dis+21_1:1_cbe=off:cnfonf=off:fs=off:fsr=off:hud=1:inj=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.40 % (20217)lrs+1002_1:1_aac=none:au=on:cnfonf=lazy_gen:plsq=on:plsqc=1:plsqr=4203469,65536:i=1041:si=on:rtra=on_0 on theBenchmark for (2999ds/1041Mi)
% 0.21/0.40 % (20216)Instruction limit reached!
% 0.21/0.40 % (20216)------------------------------
% 0.21/0.40 % (20216)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.40 % (20216)Termination reason: Unknown
% 0.21/0.40 % (20216)Termination phase: shuffling
% 0.21/0.40
% 0.21/0.40 % (20216)Memory used [KB]: 1151
% 0.21/0.40 % (20216)Time elapsed: 0.004 s
% 0.21/0.40 % (20216)Instructions burned: 4 (million)
% 0.21/0.40 % (20216)------------------------------
% 0.21/0.40 % (20216)------------------------------
% 0.21/0.40 % (20220)lrs+21_1:1_au=on:cnfonf=off:fd=preordered:fe=off:fsr=off:hud=11:inj=on:kws=precedence:s2pl=no:sp=weighted_frequency:tgt=full:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (20220)Instruction limit reached!
% 0.21/0.41 % (20220)------------------------------
% 0.21/0.41 % (20220)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (20220)Termination reason: Unknown
% 0.21/0.41 % (20220)Termination phase: shuffling
% 0.21/0.41
% 0.21/0.41 % (20220)Memory used [KB]: 1151
% 0.21/0.41 % (20220)Time elapsed: 0.003 s
% 0.21/0.41 % (20220)Instructions burned: 5 (million)
% 0.21/0.41 % (20220)------------------------------
% 0.21/0.41 % (20220)------------------------------
% 0.21/0.41 % (20218)lrs+10_1:1_av=off:chr=on:plsq=on:slsq=on:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.41 % (20219)lrs+10_1:1_acc=on:amm=sco:cs=on:tgt=full:i=16:si=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.41 % (20215)Instruction limit reached!
% 0.21/0.41 % (20215)------------------------------
% 0.21/0.41 % (20215)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (20215)Termination reason: Unknown
% 0.21/0.41 % (20215)Termination phase: Preprocessing 3
% 0.21/0.41
% 0.21/0.41 % (20215)Memory used [KB]: 1279
% 0.21/0.41 % (20215)Time elapsed: 0.012 s
% 0.21/0.41 % (20215)Instructions burned: 15 (million)
% 0.21/0.41 % (20215)------------------------------
% 0.21/0.41 % (20215)------------------------------
% 0.21/0.41 % (20218)Instruction limit reached!
% 0.21/0.41 % (20218)------------------------------
% 0.21/0.41 % (20218)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.41 % (20218)Termination reason: Unknown
% 0.21/0.41 % (20218)Termination phase: Property scanning
% 0.21/0.41
% 0.21/0.41 % (20218)Memory used [KB]: 1151
% 0.21/0.41 % (20218)Time elapsed: 0.006 s
% 0.21/0.41 % (20218)Instructions burned: 7 (million)
% 0.21/0.41 % (20218)------------------------------
% 0.21/0.41 % (20218)------------------------------
% 0.21/0.41 % (20221)lrs+2_1:1_apa=on:au=on:bd=preordered:cnfonf=off:cs=on:ixr=off:sos=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.41 % (20223)dis+1002_1:1_add=large:cnfonf=lazy_pi_sigma_gen:fe=off:prag=on:i=3:si=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.42 % (20223)Instruction limit reached!
% 0.21/0.42 % (20223)------------------------------
% 0.21/0.42 % (20223)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (20223)Termination reason: Unknown
% 0.21/0.42 % (20223)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (20223)Memory used [KB]: 1151
% 0.21/0.42 % (20223)Time elapsed: 0.003 s
% 0.21/0.42 % (20223)Instructions burned: 6 (million)
% 0.21/0.42 % (20223)------------------------------
% 0.21/0.42 % (20223)------------------------------
% 0.21/0.42 % (20221)Instruction limit reached!
% 0.21/0.42 % (20221)------------------------------
% 0.21/0.42 % (20221)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (20221)Termination reason: Unknown
% 0.21/0.42 % (20221)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (20221)Memory used [KB]: 1151
% 0.21/0.42 % (20221)Time elapsed: 0.004 s
% 0.21/0.42 % (20221)Instructions burned: 3 (million)
% 0.21/0.42 % (20221)------------------------------
% 0.21/0.42 % (20221)------------------------------
% 0.21/0.42 % (20222)lrs+10_1:1_cnfonf=off:cs=on:hud=3:prag=on:sup=off:i=7:si=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.42 % (20219)Instruction limit reached!
% 0.21/0.42 % (20219)------------------------------
% 0.21/0.42 % (20219)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (20219)Termination reason: Unknown
% 0.21/0.42 % (20219)Termination phase: Preprocessing 3
% 0.21/0.42
% 0.21/0.42 % (20219)Memory used [KB]: 1279
% 0.21/0.42 % (20219)Time elapsed: 0.012 s
% 0.21/0.42 % (20219)Instructions burned: 17 (million)
% 0.21/0.42 % (20219)------------------------------
% 0.21/0.42 % (20219)------------------------------
% 0.21/0.42 % (20222)Instruction limit reached!
% 0.21/0.42 % (20222)------------------------------
% 0.21/0.42 % (20222)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.42 % (20222)Termination reason: Unknown
% 0.21/0.42 % (20222)Termination phase: shuffling
% 0.21/0.42
% 0.21/0.42 % (20222)Memory used [KB]: 1151
% 0.21/0.42 % (20222)Time elapsed: 0.006 s
% 0.21/0.42 % (20222)Instructions burned: 7 (million)
% 0.21/0.42 % (20222)------------------------------
% 0.21/0.42 % (20222)------------------------------
% 0.21/0.42 % (20227)lrs+1002_1:1_anc=all_dependent:au=on:cbe=off:fde=unused:ntd=on:i=18:si=on:rtra=on_0 on theBenchmark for (2999ds/18Mi)
% 0.21/0.43 % (20225)dis+1004_1:1_cha=on:cs=on:fe=off:hud=1:i=4:si=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.43 % (20227)Instruction limit reached!
% 0.21/0.43 % (20227)------------------------------
% 0.21/0.43 % (20227)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (20227)Termination reason: Unknown
% 0.21/0.43 % (20227)Termination phase: Property scanning
% 0.21/0.43
% 0.21/0.43 % (20227)Memory used [KB]: 1407
% 0.21/0.43 % (20227)Time elapsed: 0.007 s
% 0.21/0.43 % (20227)Instructions burned: 20 (million)
% 0.21/0.43 % (20227)------------------------------
% 0.21/0.43 % (20227)------------------------------
% 0.21/0.43 % (20225)Instruction limit reached!
% 0.21/0.43 % (20225)------------------------------
% 0.21/0.43 % (20225)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.43 % (20225)Termination reason: Unknown
% 0.21/0.43 % (20225)Termination phase: shuffling
% 0.21/0.43
% 0.21/0.43 % (20225)Memory used [KB]: 1151
% 0.21/0.43 % (20225)Time elapsed: 0.005 s
% 0.21/0.43 % (20225)Instructions burned: 5 (million)
% 0.21/0.43 % (20225)------------------------------
% 0.21/0.43 % (20225)------------------------------
% 0.21/0.43 % (20228)lrs+10_1:1_e2e=on:sd=1:sgt=8:ss=axioms:i=710:si=on:rtra=on_0 on theBenchmark for (2999ds/710Mi)
% 0.21/0.43 % (20230)dis+1002_5:1_au=on:bd=off:e2e=on:fde=none:fs=off:fsr=off:sos=on:i=902:si=on:rtra=on_0 on theBenchmark for (2999ds/902Mi)
% 0.21/0.44 % (20232)dis+10_1:1_cnfonf=lazy_gen:fe=off:i=5:si=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.21/0.44 % (20231)dis+21_1:8_apa=on:cnfonf=off:fd=off:fsr=off:hud=0:ins=1:kws=inv_frequency:nwc=10.0:ss=axioms:st=5.0:i=21:si=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.21/0.44 % (20232)Instruction limit reached!
% 0.21/0.44 % (20232)------------------------------
% 0.21/0.44 % (20232)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.44 % (20232)Termination reason: Unknown
% 0.21/0.44 % (20232)Termination phase: shuffling
% 0.21/0.44
% 0.21/0.44 % (20232)Memory used [KB]: 1151
% 0.21/0.44 % (20232)Time elapsed: 0.003 s
% 0.21/0.44 % (20232)Instructions burned: 6 (million)
% 0.21/0.44 % (20232)------------------------------
% 0.21/0.44 % (20232)------------------------------
% 0.21/0.44 % (20229)lrs+1004_1:1_chr=on:prag=on:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.44 % (20233)lrs+2_1:1_cnfonf=lazy_not_gen_be_off:cs=on:fe=off:hud=10:inj=on:ins=3:plsq=on:plsqc=1:sd=10:ss=axioms:tnu=1:i=6:si=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.45 % (20235)lrs+1002_1:128_au=on:c=on:fsr=off:piset=equals:i=377:si=on:rtra=on_0 on theBenchmark for (2999ds/377Mi)
% 0.21/0.45 % (20233)Instruction limit reached!
% 0.21/0.45 % (20233)------------------------------
% 0.21/0.45 % (20233)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (20233)Termination reason: Unknown
% 0.21/0.45 % (20233)Termination phase: shuffling
% 0.21/0.45
% 0.21/0.45 % (20233)Memory used [KB]: 1151
% 0.21/0.45 % (20233)Time elapsed: 0.005 s
% 0.21/0.45 % (20233)Instructions burned: 6 (million)
% 0.21/0.45 % (20233)------------------------------
% 0.21/0.45 % (20233)------------------------------
% 0.21/0.45 % (20229)Instruction limit reached!
% 0.21/0.45 % (20229)------------------------------
% 0.21/0.45 % (20229)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (20229)Termination reason: Unknown
% 0.21/0.45 % (20229)Termination phase: Property scanning
% 0.21/0.45
% 0.21/0.45 % (20229)Memory used [KB]: 1151
% 0.21/0.45 % (20229)Time elapsed: 0.008 s
% 0.21/0.45 % (20229)Instructions burned: 6 (million)
% 0.21/0.45 % (20229)------------------------------
% 0.21/0.45 % (20229)------------------------------
% 0.21/0.45 % (20231)Instruction limit reached!
% 0.21/0.45 % (20231)------------------------------
% 0.21/0.45 % (20231)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.45 % (20231)Termination reason: Unknown
% 0.21/0.45 % (20231)Termination phase: Preprocessing 3
% 0.21/0.45
% 0.21/0.45 % (20231)Memory used [KB]: 1279
% 0.21/0.45 % (20231)Time elapsed: 0.014 s
% 0.21/0.45 % (20231)Instructions burned: 22 (million)
% 0.21/0.45 % (20231)------------------------------
% 0.21/0.45 % (20231)------------------------------
% 0.21/0.46 % (20236)dis+1010_1:4_atotf=0.2:c=on:cbe=off:cnfonf=lazy_simp:fe=off:ins=2:ntd=on:s2a=on:s2at=5.0:sgt=5:ss=axioms:st=1.5:i=779:si=on:rtra=on_0 on theBenchmark for (2999ds/779Mi)
% 0.21/0.46 % (20239)lrs+1010_1:1_au=on:s2a=on:sd=1:sgt=50:ss=axioms:i=879:si=on:rtra=on_0 on theBenchmark for (2999ds/879Mi)
% 0.21/0.47 % (20237)lrs+10_1:1_cnfonf=lazy_not_be_gen:ntd=on:sp=const_min:ss=axioms:sup=off:i=19:si=on:rtra=on_0 on theBenchmark for (2999ds/19Mi)
% 0.21/0.48 % (20237)Instruction limit reached!
% 0.21/0.48 % (20237)------------------------------
% 0.21/0.48 % (20237)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.48 % (20237)Termination reason: Unknown
% 0.21/0.48 % (20237)Termination phase: Property scanning
% 0.21/0.48
% 0.21/0.48 % (20237)Memory used [KB]: 1279
% 0.21/0.48 % (20237)Time elapsed: 0.012 s
% 0.21/0.48 % (20237)Instructions burned: 19 (million)
% 0.21/0.48 % (20237)------------------------------
% 0.21/0.48 % (20237)------------------------------
% 0.21/0.49 % (20206)Instruction limit reached!
% 0.21/0.49 % (20206)------------------------------
% 0.21/0.49 % (20206)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.49 % (20206)Termination reason: Unknown
% 0.21/0.49 % (20206)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (20206)Memory used [KB]: 6652
% 0.21/0.49 % (20206)Time elapsed: 0.110 s
% 0.21/0.49 % (20206)Instructions burned: 184 (million)
% 0.21/0.49 % (20206)------------------------------
% 0.21/0.49 % (20206)------------------------------
% 0.21/0.49 % (20228)First to succeed.
% 0.21/0.49 % (20240)dis+1002_1:128_acc=on:er=filter:i=17:si=on:rtra=on_0 on theBenchmark for (2998ds/17Mi)
% 0.21/0.50 % (20240)Instruction limit reached!
% 0.21/0.50 % (20240)------------------------------
% 0.21/0.50 % (20240)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (20240)Termination reason: Unknown
% 0.21/0.50 % (20240)Termination phase: Preprocessing 3
% 0.21/0.50
% 0.21/0.50 % (20240)Memory used [KB]: 1279
% 0.21/0.50 % (20240)Time elapsed: 0.008 s
% 0.21/0.50 % (20240)Instructions burned: 17 (million)
% 0.21/0.50 % (20240)------------------------------
% 0.21/0.50 % (20240)------------------------------
% 0.21/0.50 % (20228)Refutation found. Thanks to Tanya!
% 0.21/0.50 % SZS status Theorem for theBenchmark
% 0.21/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50 % (20228)------------------------------
% 0.21/0.50 % (20228)Version: Vampire 4.8 HO - Sledgehammer schedules (2023-10-19)
% 0.21/0.50 % (20228)Termination reason: Refutation
% 0.21/0.50
% 0.21/0.50 % (20228)Memory used [KB]: 6524
% 0.21/0.50 % (20228)Time elapsed: 0.094 s
% 0.21/0.50 % (20228)Instructions burned: 110 (million)
% 0.21/0.50 % (20228)------------------------------
% 0.21/0.50 % (20228)------------------------------
% 0.21/0.50 % (20205)Success in time 0.138 s
% 0.21/0.50 % Vampire---4.8 exiting
%------------------------------------------------------------------------------